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 : n155.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 05:27:54 CDT 2018 0.03/0.24 % CPUTime : 1.91/2.15 ============================== Prover9 =============================== 1.91/2.15 Prover9 (32) version 2009-11A, November 2009. 1.91/2.15 Process 10397 was started by sandbox on n155.star.cs.uiowa.edu, 1.91/2.15 Sat Jul 14 05:27:55 2018 1.91/2.15 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_10353_n155.star.cs.uiowa.edu". 1.91/2.15 ============================== end of head =========================== 1.91/2.15 1.91/2.15 ============================== INPUT ================================= 1.91/2.15 1.91/2.15 % Reading from file /tmp/Prover9_10353_n155.star.cs.uiowa.edu 1.91/2.15 1.91/2.15 set(prolog_style_variables). 1.91/2.15 set(auto2). 1.91/2.15 % set(auto2) -> set(auto). 1.91/2.15 % set(auto) -> set(auto_inference). 1.91/2.15 % set(auto) -> set(auto_setup). 1.91/2.15 % set(auto_setup) -> set(predicate_elim). 1.91/2.15 % set(auto_setup) -> assign(eq_defs, unfold). 1.91/2.15 % set(auto) -> set(auto_limits). 1.91/2.15 % set(auto_limits) -> assign(max_weight, "100.000"). 1.91/2.15 % set(auto_limits) -> assign(sos_limit, 20000). 1.91/2.15 % set(auto) -> set(auto_denials). 1.91/2.15 % set(auto) -> set(auto_process). 1.91/2.15 % set(auto2) -> assign(new_constants, 1). 1.91/2.15 % set(auto2) -> assign(fold_denial_max, 3). 1.91/2.15 % set(auto2) -> assign(max_weight, "200.000"). 1.91/2.15 % set(auto2) -> assign(max_hours, 1). 1.91/2.15 % assign(max_hours, 1) -> assign(max_seconds, 3600). 1.91/2.15 % set(auto2) -> assign(max_seconds, 0). 1.91/2.15 % set(auto2) -> assign(max_minutes, 5). 1.91/2.15 % assign(max_minutes, 5) -> assign(max_seconds, 300). 1.91/2.15 % set(auto2) -> set(sort_initial_sos). 1.91/2.15 % set(auto2) -> assign(sos_limit, -1). 1.91/2.15 % set(auto2) -> assign(lrs_ticks, 3000). 1.91/2.15 % set(auto2) -> assign(max_megs, 400). 1.91/2.15 % set(auto2) -> assign(stats, some). 1.91/2.15 % set(auto2) -> clear(echo_input). 1.91/2.15 % set(auto2) -> set(quiet). 1.91/2.15 % set(auto2) -> clear(print_initial_clauses). 1.91/2.15 % set(auto2) -> clear(print_given). 1.91/2.15 assign(lrs_ticks,-1). 1.91/2.15 assign(sos_limit,10000). 1.91/2.15 assign(order,kbo). 1.91/2.15 set(lex_order_vars). 1.91/2.15 clear(print_given). 1.91/2.15 1.91/2.15 % formulas(sos). % not echoed (6 formulas) 1.91/2.15 1.91/2.15 ============================== end of input ========================== 1.91/2.15 1.91/2.15 % From the command line: assign(max_seconds, 300). 1.91/2.15 1.91/2.15 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 1.91/2.15 1.91/2.15 % Formulas that are not ordinary clauses: 1.91/2.15 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]. 1.91/2.15 2 (all B all A B = ld(A,mult(A,B))) # label(f02) # label(axiom) # label(non_clause). [assumption]. 1.91/2.15 3 (all B all A rd(mult(A,B),B) = A) # label(f04) # label(axiom) # label(non_clause). [assumption]. 1.91/2.15 4 (all B all A A = mult(rd(A,B),B)) # label(f03) # label(axiom) # label(non_clause). [assumption]. 1.91/2.15 5 (all B all A B = mult(A,ld(A,B))) # label(f01) # label(axiom) # label(non_clause). [assumption]. 1.91/2.15 6 -(exists X0 all X1 (mult(X0,X1) = X1 & X1 = mult(X1,X0))) # label(goals) # label(negated_conjecture) # label(non_clause). [assumption]. 1.91/2.15 1.91/2.15 ============================== end of process non-clausal formulas === 1.91/2.15 1.91/2.15 ============================== PROCESS INITIAL CLAUSES =============== 1.91/2.15 1.91/2.15 ============================== PREDICATE ELIMINATION ================= 1.91/2.15 1.91/2.15 ============================== end predicate elimination ============= 1.91/2.15 1.91/2.15 Auto_denials: 1.91/2.15 % copying label goals to answer in negative clause 1.91/2.15 1.91/2.15 Term ordering decisions: 1.91/2.15 1.91/2.15 % Assigning unary symbol f1 kb_weight 0 and highest precedence (5). 1.91/2.15 Function symbol KB weights: mult=1. ld=1. rd=1. f1=0. 1.91/2.15 1.91/2.15 ============================== end of process initial clauses ======== 1.91/2.15 1.91/2.15 ============================== CLAUSES FOR SEARCH ==================== 1.91/2.15 1.91/2.15 ============================== end of clauses for search ============= 1.91/2.15 1.91/2.15 ============================== SEARCH ================================ 1.91/2.15 1.91/2.15 % Starting search at 0.00 seconds. 1.91/2.15 1.91/2.15 Low Water (keep): wt=87.000, iters=3342 1.91/2.15 1.91/2.15 Low Water (keep): wt=71.000, iters=3384 1.91/2.15 1.91/2.15 Low Water (keep): wt=67.000, iters=3361 1.91/2.15 1.91/2.15 Low Water (keep): wt=63.000, iters=3346 1.91/2.15 1.91/2.15 Low Water (keep): wt=59.000, iters=3376 1.91/2.15 1.91/2.15 Low Water (keep): wt=55.000, iters=3424 1.91/2.15 1.91/2.15 Low Water (keep): wt=51.000, iters=3400 1.91/2.15 1.91/2.15 Low Water (keep): wt=47.000, iters=3372 1.91/2.15 1.91/2.15 Low Water (keep): wt=43.000, iters=3359 1.91/2.15 1.91/2.15 Low Water (keep): wt=39.000, iters=3333 1.91/2.15 1.91/2.15 Low Water (keep): wt=35.000, iters=3350 254.03/254.34 254.03/254.34 Low Water (keep): wt=31.000, iters=3390 254.03/254.34 254.03/254.34 Low Water (displace): id=2737, wt=183.000 254.03/254.34 254.03/254.34 Low Water (displace): id=2738, wt=131.000 254.03/254.34 254.03/254.34 Low Water (displace): id=4850, wt=119.000 254.03/254.34 254.03/254.34 Low Water (displace): id=3825, wt=111.000 254.03/254.34 254.03/254.34 Low Water (displace): id=2674, wt=107.000 254.03/254.34 254.03/254.34 Low Water (displace): id=3085, wt=103.000 254.03/254.34 254.03/254.34 Low Water (displace): id=12649, wt=27.000 254.03/254.34 254.03/254.34 Low Water (keep): wt=27.000, iters=3333 254.03/254.34 254.03/254.34 Low Water (displace): id=13472, wt=23.000 254.03/254.34 254.03/254.34 Low Water (keep): wt=23.000, iters=3355 254.03/254.34 254.03/254.34 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 24 (0.00 of 7.08 sec). 254.03/254.34 254.03/254.34 ============================== PROOF ================================= 254.03/254.34 % SZS status Theorem 254.03/254.34 % SZS output start Refutation 254.03/254.34 254.03/254.34 % Proof 1 at 250.19 (+ 3.70) seconds: goals. 254.03/254.34 % Length of proof is 259. 254.03/254.34 % Level of proof is 33. 254.03/254.34 % Maximum clause weight is 42.000. 254.03/254.34 % Given clauses 2761. 254.03/254.34 254.03/254.34 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]. 254.03/254.34 2 (all B all A B = ld(A,mult(A,B))) # label(f02) # label(axiom) # label(non_clause). [assumption]. 254.12/254.34 3 (all B all A rd(mult(A,B),B) = A) # label(f04) # label(axiom) # label(non_clause). [assumption]. 254.12/254.34 4 (all B all A A = mult(rd(A,B),B)) # label(f03) # label(axiom) # label(non_clause). [assumption]. 254.12/254.34 5 (all B all A B = mult(A,ld(A,B))) # label(f01) # label(axiom) # label(non_clause). [assumption]. 254.12/254.34 6 -(exists X0 all X1 (mult(X0,X1) = X1 & X1 = mult(X1,X0))) # label(goals) # label(negated_conjecture) # label(non_clause). [assumption]. 254.12/254.34 7 ld(A,mult(A,B)) = B # label(f02) # label(axiom). [clausify(2)]. 254.12/254.34 8 rd(mult(A,B),B) = A # label(f04) # label(axiom). [clausify(3)]. 254.12/254.34 9 mult(rd(A,B),B) = A # label(f03) # label(axiom). [clausify(4)]. 254.12/254.34 10 mult(A,ld(A,B)) = B # label(f01) # label(axiom). [clausify(5)]. 254.12/254.34 11 mult(mult(mult(A,B),C),B) = mult(A,mult(B,mult(C,B))) # label(f05) # label(axiom). [clausify(1)]. 254.12/254.34 12 mult(A,f1(A)) != f1(A) | mult(f1(A),A) != f1(A) # label(goals) # label(negated_conjecture) # answer(goals). [clausify(6)]. 254.12/254.34 13 ld(rd(A,B),A) = B. [para(9(a,1),7(a,1,2))]. 254.12/254.34 14 rd(A,ld(B,A)) = B. [para(10(a,1),8(a,1,1))]. 254.12/254.34 15 ld(mult(mult(A,B),C),mult(A,mult(B,mult(C,B)))) = B. [para(11(a,1),7(a,1,2))]. 254.12/254.34 16 rd(mult(A,mult(B,mult(C,B))),B) = mult(mult(A,B),C). [para(11(a,1),8(a,1,1))]. 254.12/254.34 17 mult(rd(A,B),mult(B,mult(C,B))) = mult(mult(A,C),B). [para(9(a,1),11(a,1,1,1)),flip(a)]. 254.12/254.34 18 mult(A,mult(ld(A,B),mult(C,ld(A,B)))) = mult(mult(B,C),ld(A,B)). [para(10(a,1),11(a,1,1,1)),flip(a)]. 254.12/254.34 19 mult(A,mult(B,mult(ld(mult(A,B),C),B))) = mult(C,B). [para(10(a,1),11(a,1,1)),flip(a)]. 254.12/254.34 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))]. 254.12/254.34 23 ld(mult(mult(A,B),rd(C,B)),mult(A,mult(B,C))) = B. [para(9(a,1),15(a,1,2,2,2))]. 254.12/254.34 25 ld(mult(mult(A,ld(B,C)),B),mult(A,mult(ld(B,C),C))) = ld(B,C). [para(10(a,1),15(a,1,2,2,2))]. 254.12/254.34 27 ld(mult(A,mult(B,mult(C,B))),mult(mult(A,B),mult(C,mult(B,C)))) = C. [para(11(a,1),15(a,1,1))]. 254.12/254.34 29 rd(mult(A,mult(B,C)),B) = mult(mult(A,B),rd(C,B)). [para(9(a,1),16(a,1,1,2,2))]. 254.12/254.34 30 mult(mult(rd(A,mult(B,mult(C,B))),B),C) = rd(A,B). [para(9(a,1),16(a,1,1)),flip(a)]. 254.12/254.34 31 ld(rd(A,B),mult(mult(A,C),B)) = mult(B,mult(C,B)). [para(17(a,1),7(a,1,2))]. 254.12/254.34 32 rd(mult(mult(A,B),C),mult(C,mult(B,C))) = rd(A,C). [para(17(a,1),8(a,1,1))]. 254.12/254.34 33 mult(mult(A,rd(B,C)),C) = mult(rd(A,C),mult(C,B)). [para(9(a,1),17(a,1,2,2)),flip(a)]. 254.12/254.34 39 ld(A,mult(mult(B,C),ld(A,B))) = mult(ld(A,B),mult(C,ld(A,B))). [para(18(a,1),7(a,1,2))]. 254.12/254.34 40 mult(mult(A,B),ld(B,A)) = mult(B,mult(ld(B,A),A)). [para(10(a,1),18(a,1,2,2)),flip(a)]. 254.12/254.34 45 mult(A,mult(ld(mult(B,A),C),A)) = ld(B,mult(C,A)). [para(19(a,1),7(a,1,2)),flip(a)]. 254.12/254.34 61 mult(mult(A,rd(B,C)),rd(C,rd(B,C))) = rd(mult(A,B),rd(B,C)). [para(9(a,1),29(a,1,1,2)),flip(a)]. 254.12/254.34 62 mult(mult(rd(A,mult(B,C)),B),rd(C,B)) = rd(A,B). [para(9(a,1),29(a,1,1)),flip(a)]. 254.12/254.34 63 mult(mult(A,B),rd(ld(B,C),B)) = rd(mult(A,C),B). [para(10(a,1),29(a,1,1,2)),flip(a)]. 254.12/254.34 71 mult(rd(A,mult(B,mult(C,B))),B) = rd(rd(A,B),C). [para(30(a,1),8(a,1,1)),flip(a)]. 254.12/254.34 93 ld(rd(A,B),mult(C,B)) = mult(B,mult(ld(A,C),B)). [para(10(a,1),31(a,1,2,1))]. 254.12/254.34 98 rd(mult(A,B),mult(B,mult(C,B))) = rd(rd(A,C),B). [para(9(a,1),32(a,1,1,1))]. 254.12/254.34 166 ld(A,ld(B,mult(C,A))) = mult(ld(mult(B,A),C),A). [para(45(a,1),7(a,1,2))]. 254.12/254.34 210 ld(mult(rd(A,mult(B,C)),B),rd(A,B)) = rd(C,B). [para(62(a,1),7(a,1,2))]. 254.12/254.34 211 rd(rd(A,B),rd(C,B)) = mult(rd(A,mult(B,C)),B). [para(62(a,1),8(a,1,1))]. 254.12/254.34 232 ld(mult(A,B),rd(mult(A,C),B)) = rd(ld(B,C),B). [para(63(a,1),7(a,1,2))]. 254.12/254.34 233 rd(mult(rd(A,B),C),B) = mult(A,rd(ld(B,C),B)). [para(9(a,1),63(a,1,1)),flip(a)]. 254.12/254.34 297 ld(rd(A,mult(B,mult(C,B))),rd(rd(A,B),C)) = B. [para(71(a,1),7(a,1,2))]. 254.12/254.34 298 rd(rd(rd(A,B),C),B) = rd(A,mult(B,mult(C,B))). [para(71(a,1),8(a,1,1))]. 254.12/254.34 331 mult(A,mult(ld(B,rd(C,A)),A)) = ld(rd(B,A),C). [para(9(a,1),93(a,1,2)),flip(a)]. 254.12/254.34 340 mult(A,mult(ld(B,rd(C,mult(A,mult(D,A)))),A)) = ld(rd(B,A),rd(rd(C,A),D)). [para(71(a,1),93(a,1,2)),flip(a)]. 254.12/254.34 392 mult(ld(mult(A,B),A),B) = ld(B,B). [para(7(a,1),166(a,1,2)),flip(a)]. 254.12/254.34 393 mult(ld(mult(A,B),rd(C,B)),B) = ld(B,ld(A,C)). [para(9(a,1),166(a,1,2,2)),flip(a)]. 254.12/254.34 414 ld(ld(mult(A,B),A),ld(B,B)) = B. [para(392(a,1),7(a,1,2))]. 254.12/254.34 415 rd(ld(A,A),A) = ld(mult(B,A),B). [para(392(a,1),8(a,1,1))]. 254.12/254.34 416 mult(ld(A,rd(A,B)),B) = ld(B,B). [para(9(a,1),392(a,1,1,1))]. 254.12/254.34 417 ld(ld(A,B),ld(A,B)) = mult(ld(B,A),ld(A,B)). [para(10(a,1),392(a,1,1,1)),flip(a)]. 254.12/254.34 427 mult(mult(A,ld(mult(B,C),B)),rd(C,ld(mult(B,C),B))) = rd(mult(A,ld(C,C)),ld(mult(B,C),B)). [para(392(a,1),29(a,1,1,2)),flip(a)]. 254.12/254.34 433 mult(A,mult(ld(A,ld(mult(B,A),B)),ld(mult(B,A),B))) = mult(ld(A,A),ld(A,ld(mult(B,A),B))). [para(392(a,1),40(a,1,1)),flip(a)]. 254.12/254.34 466 rd(ld(A,A),A) = ld(B,rd(B,A)). [para(9(a,1),415(a,2,1))]. 254.12/254.34 468 rd(A,rd(ld(B,B),B)) = mult(A,B). [para(415(a,2),14(a,1,2))]. 254.12/254.34 479 ld(mult(A,mult(ld(A,B),B)),mult(B,A)) = ld(B,A). [para(40(a,1),415(a,2,1)),rewrite([417(3),8(5)]),flip(a)]. 254.12/254.34 482 mult(A,ld(mult(B,C),B)) = rd(A,C). [para(415(a,1),62(a,1,2)),rewrite([10(2),9(2)])]. 254.12/254.34 486 rd(rd(ld(A,A),A),B) = rd(ld(mult(C,A),C),B). [para(415(a,1),71(a,2,1)),rewrite([71(5)])]. 254.12/254.34 494 ld(ld(A,A),ld(mult(B,A),B)) = rd(ld(A,A),A). [para(392(a,1),415(a,2,1)),flip(a)]. 254.12/254.34 495 ld(mult(A,B),A) = ld(mult(C,B),C). [para(415(a,1),415(a,1))]. 254.12/254.34 500 mult(ld(A,A),ld(A,ld(mult(B,A),B))) = mult(A,rd(ld(A,ld(mult(B,A),B)),A)). [back_rewrite(433),rewrite([482(6)]),flip(a)]. 254.12/254.34 501 rd(mult(A,ld(B,B)),ld(mult(C,B),C)) = mult(rd(A,B),rd(B,ld(mult(C,B),C))). [back_rewrite(427),rewrite([482(3)]),flip(a)]. 254.12/254.34 571 mult(A,rd(ld(B,B),B)) = rd(A,B). [para(466(a,2),10(a,1,2))]. 254.12/254.34 581 mult(A,ld(B,rd(B,C))) = rd(A,C). [para(466(a,1),62(a,1,2)),rewrite([10(2),9(2)])]. 254.12/254.34 591 ld(mult(A,B),A) = ld(C,rd(C,B)). [para(466(a,1),415(a,1)),flip(a)]. 254.12/254.34 592 ld(A,rd(A,B)) = ld(C,rd(C,B)). [para(466(a,1),466(a,1))]. 254.12/254.34 608 rd(A,ld(mult(B,C),B)) = mult(A,C). [para(415(a,1),468(a,1,2))]. 254.12/254.34 611 mult(mult(A,ld(B,B)),B) = mult(rd(A,B),mult(B,B)). [back_rewrite(501),rewrite([608(5),608(7)])]. 254.12/254.34 639 ld(mult(A,mult(rd(B,mult(C,mult(D,C))),mult(C,rd(B,mult(C,mult(D,C)))))),mult(mult(A,rd(B,mult(C,mult(D,C)))),mult(C,rd(rd(B,C),D)))) = C. [para(71(a,1),27(a,1,2,2,2))]. 254.12/254.34 643 mult(ld(mult(A,B),A),rd(B,B)) = ld(mult(A,B),A). [para(392(a,1),27(a,1,1,2,2)),rewrite([10(2),482(7),7(8)])]. 254.12/254.34 645 rd(A,ld(B,C)) = mult(A,ld(C,B)). [para(10(a,1),482(a,1,2,1)),flip(a)]. 254.12/254.34 647 mult(A,mult(B,mult(ld(mult(C,D),C),B))) = mult(rd(mult(A,B),D),B). [para(482(a,1),11(a,1,1)),flip(a)]. 254.12/254.34 649 mult(A,ld(mult(mult(B,C),D),rd(B,D))) = rd(A,mult(D,mult(C,D))). [para(17(a,1),482(a,1,2,1))]. 254.12/254.34 664 rd(A,rd(ld(B,C),B)) = mult(rd(mult(A,B),C),B). [para(63(a,1),482(a,1,2,1)),rewrite([93(4),647(5)]),flip(a)]. 254.12/254.34 666 mult(ld(mult(A,B),A),rd(ld(C,D),B)) = ld(mult(C,B),rd(D,B)). [para(482(a,1),93(a,1,2)),rewrite([645(3),7(2),482(9)]),flip(a)]. 254.12/254.34 671 ld(ld(mult(A,B),A),ld(C,rd(D,B))) = rd(ld(rd(C,B),D),B). [para(482(a,1),166(a,1,2,2)),rewrite([482(8),482(10)])]. 254.12/254.34 714 ld(mult(A,ld(B,C)),A) = ld(C,B). [para(10(a,1),495(a,1,1)),flip(a)]. 254.12/254.34 723 mult(rd(ld(A,A),A),f1(rd(ld(A,A),A))) != f1(rd(ld(A,A),A)) | rd(f1(rd(ld(A,A),A)),A) != f1(rd(ld(A,A),A)) # answer(goals). [para(571(a,1),12(b,1))]. 254.12/254.34 747 mult(A,ld(mult(B,C),rd(rd(B,D),C))) = rd(A,mult(C,mult(D,C))). [para(98(a,1),581(a,1,2,2))]. 254.12/254.34 812 mult(ld(mult(A,B),A),f1(rd(ld(B,B),B))) != f1(rd(ld(B,B),B)) | rd(f1(rd(ld(B,B),B)),B) != f1(rd(ld(B,B),B)) # answer(goals). [para(415(a,1),723(a,1,1))]. 254.12/254.34 852 mult(mult(A,ld(B,C)),ld(C,B)) = A. [para(645(a,1),8(a,1))]. 254.12/254.34 853 mult(mult(A,ld(B,C)),mult(ld(C,B),mult(D,ld(C,B)))) = mult(mult(A,D),ld(C,B)). [para(645(a,1),17(a,1,1))]. 254.12/254.34 856 mult(mult(A,mult(B,ld(C,D))),ld(D,C)) = mult(mult(A,ld(C,D)),mult(ld(D,C),B)). [para(645(a,1),33(a,1,1,2)),rewrite([645(7)])]. 254.12/254.34 860 ld(mult(A,ld(B,C)),mult(D,ld(C,B))) = mult(ld(C,B),mult(ld(A,D),ld(C,B))). [para(645(a,1),93(a,1,1))]. 254.12/254.34 975 mult(A,mult(ld(ld(B,C),D),ld(C,B))) = mult(A,mult(ld(C,B),mult(D,ld(C,B)))). [para(852(a,1),63(a,1,1)),rewrite([645(4),645(10),11(10)])]. 254.12/254.34 982 mult(mult(ld(A,B),ld(A,B)),mult(ld(B,A),ld(C,D))) = ld(ld(B,A),ld(C,D)). [para(852(a,1),166(a,1,2,2)),rewrite([860(8),856(10)]),flip(a)]. 254.12/254.34 1025 ld(mult(rd(A,B),C),rd(A,C)) = rd(ld(C,B),C). [para(10(a,1),210(a,1,1,1,2))]. 254.12/254.34 1030 mult(A,mult(ld(A,A),A)) = mult(A,A). [para(392(a,1),210(a,1,1,1,2)),rewrite([645(2),482(5),645(6),7(5),93(5),714(3),645(6),7(5)])]. 254.12/254.34 1035 rd(ld(mult(A,B),A),C) = rd(ld(C,rd(C,B)),C). [para(482(a,1),210(a,1,1,1,2)),rewrite([1025(5)]),flip(a)]. 254.12/254.34 1042 mult(ld(A,A),A) = A. [para(1030(a,1),7(a,1,2)),rewrite([7(2)]),flip(a)]. 254.12/254.34 1044 ld(mult(A,A),mult(A,A)) = ld(A,A). [para(1030(a,1),23(a,1,2)),rewrite([10(2),645(2),10(2)])]. 254.12/254.34 1046 mult(mult(A,mult(B,B)),ld(B,B)) = mult(mult(A,B),B). [para(1030(a,1),21(a,1,1,2)),rewrite([10(8),1042(7)])]. 254.12/254.34 1047 mult(mult(A,ld(B,B)),mult(B,B)) = mult(mult(A,B),B). [para(1030(a,1),21(a,2,2)),rewrite([10(3),1042(2)]),flip(a)]. 254.12/254.34 1049 rd(mult(A,ld(B,B)),B) = rd(mult(A,B),mult(B,B)). [para(1030(a,1),98(a,1,2)),rewrite([645(5)]),flip(a)]. 254.12/254.34 1121 f1(rd(ld(A,A),A)) != mult(ld(mult(B,A),B),f1(ld(mult(C,A),C))) | rd(f1(rd(ld(A,A),A)),A) != f1(rd(ld(A,A),A)) # answer(goals). [para(415(a,1),812(a,1,2,1)),flip(a)]. 254.12/254.34 1144 ld(ld(A,A),A) = A. [para(1042(a,1),7(a,1,2))]. 254.12/254.34 1145 rd(A,A) = ld(A,A). [para(1042(a,1),8(a,1,1))]. 254.12/254.34 1151 mult(rd(A,B),mult(B,B)) = mult(mult(A,B),ld(B,B)). [para(1042(a,1),29(a,1,1,2)),rewrite([645(3),645(7),10(7),611(6)]),flip(a)]. 254.12/254.34 1158 rd(mult(ld(A,A),B),A) = mult(A,rd(ld(A,B),A)). [para(1042(a,1),63(a,1,1)),flip(a)]. 254.12/254.34 1165 ld(ld(A,ld(A,A)),ld(A,A)) = A. [para(1042(a,1),414(a,1,1,1))]. 254.12/254.34 1166 rd(ld(A,A),A) = ld(A,ld(A,A)). [para(1042(a,1),415(a,2,1))]. 254.12/254.34 1167 mult(A,ld(B,ld(B,B))) = rd(A,B). [para(1042(a,1),482(a,1,2,1))]. 254.12/254.34 1168 ld(mult(A,B),A) = ld(B,ld(B,B)). [para(1042(a,1),482(a,1)),rewrite([417(7),7(4),482(5),1145(3),1166(4)])]. 254.12/254.34 1169 ld(A,rd(A,B)) = ld(B,ld(B,B)). [para(1042(a,1),581(a,1)),rewrite([417(7),13(4),581(5),1145(3),1166(4)])]. 254.12/254.34 1174 mult(mult(ld(A,B),ld(B,A)),ld(B,A)) = ld(B,A). [para(1042(a,1),645(a,2)),rewrite([417(3),645(5)])]. 254.12/254.34 1185 mult(ld(mult(A,B),A),ld(B,B)) = ld(mult(A,B),A). [back_rewrite(643),rewrite([1145(3)])]. 254.12/254.34 1186 mult(mult(A,ld(B,B)),B) = mult(mult(A,B),ld(B,B)). [back_rewrite(611),rewrite([1151(6)])]. 254.12/254.34 1205 f1(ld(A,ld(A,A))) != mult(ld(mult(B,A),B),f1(ld(mult(C,A),C))) | rd(f1(ld(A,ld(A,A))),A) != f1(ld(A,ld(A,A))) # answer(goals). [back_rewrite(1121),rewrite([1166(2),1166(12),1166(16)])]. 254.12/254.34 1270 ld(ld(A,A),ld(mult(B,A),B)) = ld(A,ld(A,A)). [back_rewrite(494),rewrite([1166(6)])]. 254.12/254.34 1275 rd(ld(mult(A,B),A),C) = rd(ld(B,ld(B,B)),C). [back_rewrite(486),rewrite([1166(2)]),flip(a)]. 254.12/254.34 1286 mult(ld(A,A),mult(A,A)) = mult(A,A). [para(1144(a,1),40(a,1,2)),rewrite([10(2),1144(4)]),flip(a)]. 254.12/254.34 1289 ld(rd(A,B),rd(A,B)) = mult(rd(A,mult(B,A)),B). [para(1145(a,1),71(a,2)),rewrite([9(2)]),flip(a)]. 254.12/254.34 1316 ld(A,mult(mult(A,A),A)) = mult(A,A). [para(1044(a,1),45(a,1,2,1)),rewrite([1042(2)]),flip(a)]. 254.12/254.34 1323 mult(ld(A,A),ld(A,A)) = ld(A,A). [para(581(a,1),1044(a,1,1)),rewrite([581(8),1289(7),581(5),1145(3),645(4),1186(5),416(3),417(8),13(5),581(6),1145(4)])]. 254.12/254.34 1348 mult(ld(mult(A,B),A),rd(C,B)) = rd(ld(B,C),B). [para(482(a,1),39(a,1,2)),rewrite([232(4),482(7)]),flip(a)]. 254.12/254.34 1350 mult(ld(A,rd(A,B)),rd(C,B)) = rd(ld(B,C),B). [para(581(a,1),39(a,1,2)),rewrite([233(3),7(4),581(7)]),flip(a)]. 254.12/254.34 1361 rd(ld(A,ld(B,C)),A) = ld(mult(B,A),rd(C,A)). [back_rewrite(666),rewrite([1348(5)])]. 254.12/254.34 1364 mult(ld(A,A),ld(A,ld(mult(B,A),B))) = rd(A,mult(A,mult(A,A))). [back_rewrite(500),rewrite([1361(9),649(10)])]. 254.12/254.34 1435 ld(ld(mult(A,A),ld(A,A)),ld(A,A)) = mult(A,A). [para(1044(a,1),1165(a,1,1,2)),rewrite([1044(6)])]. 254.12/254.34 1439 rd(ld(A,A),mult(A,A)) = ld(mult(A,A),ld(A,A)). [para(1044(a,1),1166(a,1,1)),rewrite([1044(7)])]. 254.12/254.34 1444 mult(ld(A,ld(A,A)),rd(B,A)) = rd(ld(A,B),A). [para(1167(a,1),39(a,1,2)),rewrite([1158(3),7(4),1167(7)]),flip(a)]. 254.12/254.34 1540 mult(ld(A,rd(A,B)),ld(B,B)) = ld(B,ld(B,B)). [para(1169(a,2),25(a,1,2,2,1)),rewrite([1167(3),9(2),7(6)])]. 254.12/254.34 1589 mult(mult(A,A),A) = mult(A,mult(A,A)). [para(1316(a,1),10(a,1,2)),flip(a)]. 254.12/254.34 1723 mult(ld(A,A),mult(ld(A,A),mult(B,ld(A,A)))) = mult(mult(ld(A,A),B),ld(A,A)). [para(1323(a,1),11(a,1,1,1)),flip(a)]. 254.12/254.34 1725 ld(ld(A,A),mult(B,ld(A,A))) = mult(mult(ld(A,A),B),ld(A,A)). [para(1323(a,1),45(a,1,2,1,1)),rewrite([975(6),1723(6)]),flip(a)]. 254.12/254.34 1726 mult(ld(A,A),mult(ld(B,ld(A,A)),ld(A,A))) = ld(mult(B,ld(A,A)),ld(A,A)). [para(1323(a,1),93(a,1,2)),rewrite([645(2)]),flip(a)]. 254.12/254.34 1785 ld(ld(A,B),ld(B,A)) = mult(ld(B,A),ld(B,A)). [para(1589(a,1),852(a,1,1)),rewrite([856(7),982(7)])]. 254.12/254.34 1814 rd(mult(A,B),mult(B,B)) = mult(rd(A,B),ld(B,B)). [para(1042(a,1),211(a,2,1,2)),rewrite([645(2),645(4),10(4),1049(3)])]. 254.12/254.34 1815 rd(ld(A,A),rd(B,A)) = mult(rd(A,mult(A,B)),A). [para(1145(a,1),211(a,1,1))]. 254.12/254.34 1818 rd(mult(A,ld(B,B)),mult(B,B)) = mult(rd(A,mult(B,B)),ld(B,B)). [para(1286(a,1),211(a,2,1,2)),rewrite([645(2),645(5),40(5),1042(4)])]. 254.12/254.34 1820 rd(mult(A,ld(B,B)),B) = mult(rd(A,B),ld(B,B)). [back_rewrite(1049),rewrite([1814(6)])]. 254.12/254.34 1881 mult(ld(ld(A,B),C),ld(B,A)) = mult(ld(B,A),mult(C,ld(B,A))). [para(10(a,1),232(a,1,1)),rewrite([645(3),39(4),645(8)]),flip(a)]. 254.12/254.34 1910 mult(ld(ld(mult(A,B),A),C),B) = mult(B,mult(C,B)). [para(482(a,1),232(a,1,1)),rewrite([645(5),7(4),93(4),7(2),645(8),7(7)]),flip(a)]. 254.12/254.34 1913 mult(ld(ld(A,rd(A,B)),C),B) = mult(B,mult(C,B)). [para(581(a,1),232(a,1,1)),rewrite([645(5),13(4),93(4),7(2),645(8),13(7)]),flip(a)]. 254.12/254.34 1916 ld(mult(rd(mult(A,B),C),B),A) = rd(ld(B,C),B). [para(232(a,1),714(a,2)),rewrite([93(4),647(5)])]. 254.12/254.34 1925 mult(ld(ld(A,ld(A,A)),B),A) = mult(A,mult(B,A)). [para(1167(a,1),232(a,1,1)),rewrite([645(5),1144(4),93(4),7(2),645(8),1144(7)]),flip(a)]. 254.12/254.34 1958 mult(rd(rd(A,B),B),ld(B,B)) = mult(A,rd(ld(mult(C,B),C),B)). [para(1168(a,2),233(a,2,2,1)),rewrite([1820(4)])]. 254.12/254.34 1960 mult(rd(rd(A,B),B),ld(B,B)) = mult(A,rd(ld(C,rd(C,B)),B)). [para(1169(a,2),233(a,2,2,1)),rewrite([1820(4)])]. 254.12/254.34 1987 ld(rd(ld(A,A),mult(A,mult(B,A))),rd(ld(A,ld(A,A)),B)) = A. [para(1166(a,1),297(a,1,2,1))]. 254.12/254.34 2003 mult(rd(rd(A,B),B),ld(B,B)) = rd(A,mult(B,B)). [para(1042(a,1),298(a,2,2,2)),rewrite([645(3),1820(4)])]. 254.12/254.34 2013 mult(A,rd(ld(B,rd(B,C)),C)) = rd(A,mult(C,C)). [back_rewrite(1960),rewrite([2003(4)]),flip(a)]. 254.12/254.34 2014 mult(A,rd(ld(mult(B,C),B),C)) = rd(A,mult(C,C)). [back_rewrite(1958),rewrite([2003(4)]),flip(a)]. 254.12/254.34 2171 ld(rd(A,B),rd(rd(A,B),C)) = ld(mult(D,C),D). [para(591(a,2),331(a,2)),rewrite([298(3),340(6)])]. 254.12/254.34 2302 ld(A,ld(B,rd(B,C))) = ld(A,ld(D,rd(D,C))). [para(592(a,1),393(a,2,2)),rewrite([393(5)])]. 254.12/254.34 2314 ld(mult(ld(A,B),ld(B,A)),ld(B,A)) = ld(B,A). [para(1144(a,1),393(a,2)),rewrite([417(3),417(7),417(12),393(13)])]. 254.12/254.34 2325 ld(A,ld(mult(B,C),B)) = ld(A,ld(C,ld(C,C))). [para(1168(a,1),393(a,2,2)),rewrite([393(5)])]. 254.12/254.34 2326 ld(A,ld(B,rd(B,C))) = ld(A,ld(C,ld(C,C))). [para(1169(a,1),393(a,2,2)),rewrite([393(5)])]. 254.12/254.34 2330 ld(ld(A,A),ld(ld(A,A),B)) = mult(ld(A,A),B). [para(1323(a,1),393(a,1,1,1)),rewrite([645(3),1725(4),852(6)]),flip(a)]. 254.12/254.34 2365 ld(ld(A,rd(A,B)),ld(B,ld(B,B))) = ld(B,B). [para(1169(a,1),417(a,1,2)),rewrite([13(7),581(8),1145(6)])]. 254.12/254.34 2499 ld(rd(A,mult(A,mult(A,A))),ld(A,A)) = ld(ld(B,rd(B,A)),A). [para(416(a,1),479(a,1,2)),rewrite([581(6),1361(4),747(5)])]. 254.12/254.34 2555 mult(rd(mult(mult(rd(ld(A,B),B),A),A),B),A) = mult(A,mult(ld(B,ld(B,B)),A)). [para(664(a,1),1166(a,1)),rewrite([1289(5),10(3),1289(13),10(11),93(12),1169(10)])]. 254.12/254.34 2779 f1(ld(A,ld(A,A))) != mult(ld(mult(B,A),B),f1(ld(mult(C,A),C))) | f1(ld(A,ld(A,A))) != rd(f1(ld(D,rd(D,A))),A) # answer(goals). [para(1169(a,2),1205(b,1,1,1)),flip(b)]. 254.12/254.34 2862 ld(ld(mult(A,B),A),rd(ld(C,rd(C,B)),C)) = ld(C,ld(C,C)). [para(1035(a,1),1169(a,1,2))]. 254.12/254.34 2892 mult(ld(mult(A,B),A),C) = mult(ld(B,ld(B,B)),C). [para(1035(a,1),1035(a,2,1,2)),rewrite([645(5),7(4),2862(9),645(8),7(7)])]. 254.12/254.34 3260 mult(rd(A,mult(B,B)),ld(B,B)) = rd(rd(A,B),B). [para(482(a,1),1046(a,1,1,2)),rewrite([2014(4),417(7),7(4),482(5),1145(3),482(7),482(8)])]. 254.12/254.34 3297 rd(mult(A,ld(B,B)),mult(B,B)) = rd(rd(A,B),B). [back_rewrite(1818),rewrite([3260(8)])]. 254.12/254.34 3332 mult(ld(mult(A,B),A),mult(B,B)) = B. [para(392(a,1),1047(a,2,1)),rewrite([1185(4),1042(6)])]. 254.12/254.34 3335 mult(ld(A,ld(A,A)),mult(A,A)) = A. [para(416(a,1),1047(a,2,1)),rewrite([1540(4),1042(6)])]. 254.12/254.34 3384 ld(ld(mult(A,B),A),B) = mult(B,B). [para(3332(a,1),7(a,1,2))]. 254.12/254.34 3386 mult(ld(A,rd(A,B)),mult(B,B)) = B. [para(9(a,1),3332(a,1,1,1))]. 254.12/254.34 3408 mult(A,ld(B,ld(mult(C,B),C))) = rd(A,mult(B,B)). [para(3332(a,1),482(a,1,2,1))]. 254.12/254.34 3465 rd(A,mult(A,mult(A,A))) = ld(mult(A,A),ld(A,A)). [back_rewrite(1364),rewrite([3408(5),1439(3)]),flip(a)]. 254.12/254.34 3468 ld(ld(A,rd(A,B)),B) = mult(B,B). [back_rewrite(2499),rewrite([3465(3),1435(5)]),flip(a)]. 254.12/254.34 3493 ld(mult(rd(A,B),mult(ld(mult(C,A),C),rd(A,B))),mult(rd(B,A),rd(A,B))) = rd(B,rd(A,B)). [para(61(a,1),414(a,1,1,1)),rewrite([93(6),1289(11),9(8)])]. 254.12/254.34 3591 ld(ld(A,ld(A,A)),A) = mult(A,A). [para(3335(a,1),7(a,1,2))]. 254.12/254.34 3602 mult(A,ld(B,ld(B,ld(B,B)))) = rd(A,mult(B,B)). [para(3335(a,1),482(a,1,2,1))]. 254.12/254.34 3615 ld(mult(A,A),ld(A,A)) = ld(A,ld(A,ld(A,A))). [para(3335(a,1),1168(a,1,1)),rewrite([1044(7)]),flip(a)]. 254.12/254.34 3693 rd(ld(mult(A,B),A),B) = ld(B,ld(mult(A,B),A)). [para(482(a,1),3384(a,1,1,1)),rewrite([13(2),482(8)]),flip(a)]. 254.12/254.34 3694 rd(ld(A,rd(A,B)),B) = ld(B,ld(A,rd(A,B))). [para(581(a,1),3384(a,1,1,1)),rewrite([13(2),581(8)]),flip(a)]. 254.12/254.34 3712 mult(A,ld(B,ld(C,rd(C,B)))) = rd(A,mult(B,B)). [back_rewrite(2013),rewrite([3694(3)])]. 254.12/254.34 3728 ld(A,rd(A,mult(B,B))) = ld(B,ld(C,rd(C,B))). [para(3386(a,1),591(a,1,1)),flip(a)]. 254.12/254.34 6315 ld(mult(A,ld(B,C)),mult(A,ld(B,C))) = mult(rd(A,mult(ld(C,B),A)),ld(C,B)). [para(645(a,1),1289(a,1,1)),rewrite([645(4)])]. 254.12/254.34 6328 mult(A,mult(mult(rd(B,mult(A,B)),A),A)) = ld(rd(rd(B,A),A),B). [para(1289(a,1),331(a,1,2,1))]. 254.12/254.34 6873 mult(ld(A,ld(mult(B,A),B)),mult(A,C)) = ld(A,C). [para(1348(a,1),33(a,1,1)),rewrite([9(3),3693(4)]),flip(a)]. 254.12/254.34 7017 mult(ld(rd(ld(A,B),A),ld(C,rd(C,A))),rd(B,A)) = mult(rd(B,mult(A,B)),A). [para(1350(a,1),392(a,1,1,1)),rewrite([1289(10)])]. 254.12/254.34 7358 mult(rd(ld(A,B),mult(A,B)),A) = ld(A,ld(A,A)). [para(1444(a,1),8(a,1,1)),rewrite([211(4)])]. 254.12/254.34 7359 rd(ld(A,mult(B,A)),A) = mult(ld(A,ld(A,A)),B). [para(8(a,1),1444(a,1,2)),flip(a)]. 254.12/254.34 7372 mult(ld(rd(ld(A,B),A),ld(A,ld(A,A))),rd(B,A)) = mult(rd(B,mult(A,B)),A). [para(1444(a,1),392(a,1,1,1)),rewrite([1289(10)])]. 254.12/254.34 7377 ld(rd(ld(A,B),A),ld(A,ld(A,A))) = ld(C,rd(C,rd(B,A))). [para(1444(a,1),591(a,1,1))]. 254.12/254.34 8191 rd(mult(A,mult(B,A)),A) = ld(ld(C,rd(C,A)),B). [para(1913(a,1),8(a,1,1))]. 254.12/254.34 8460 f1(ld(A,ld(A,A))) != mult(ld(mult(B,A),B),f1(ld(mult(C,A),C))) | f1(ld(A,ld(A,A))) != rd(f1(ld(ld(D,ld(D,D)),rd(ld(mult(E,D),E),A))),A) # answer(goals). [para(1275(a,2),2779(b,2,1,1,2))]. 254.12/254.34 8483 ld(mult(ld(mult(A,B),mult(A,B)),B),A) = mult(ld(B,ld(B,B)),A). [para(1145(a,1),1916(a,1,1,1)),rewrite([7359(8)])]. 254.12/254.34 8543 rd(mult(A,mult(B,A)),A) = ld(ld(A,ld(A,A)),B). [para(1925(a,1),8(a,1,1))]. 254.12/254.34 8628 ld(ld(A,rd(A,B)),C) = ld(ld(B,ld(B,B)),C). [back_rewrite(8191),rewrite([8543(3)]),flip(a)]. 254.12/254.34 10206 ld(rd(A,B),rd(rd(A,B),C)) = ld(mult(ld(D,rd(D,E)),C),ld(F,rd(F,E))). [para(2302(a,1),2171(a,2))]. 254.12/254.34 10871 ld(ld(A,A),ld(mult(ld(B,ld(B,B)),A),ld(C,rd(C,B)))) = ld(A,ld(A,A)). [para(2326(a,2),1270(a,1,2))]. 254.12/254.34 11041 rd(A,mult(mult(ld(B,B),C),ld(B,B))) = mult(A,ld(mult(C,ld(B,B)),ld(B,B))). [para(2330(a,1),664(a,1,2,1)),rewrite([645(4),645(10),11(12),1726(11)])]. 254.12/254.34 11046 ld(mult(ld(A,A),B),rd(ld(ld(A,A),C),B)) = rd(ld(B,mult(ld(A,A),C)),B). [para(2330(a,1),1361(a,1,1,2)),flip(a)]. 254.12/254.34 11227 ld(ld(A,mult(rd(mult(A,B),C),B)),mult(B,mult(ld(C,ld(C,C)),B))) = mult(rd(ld(B,C),C),B). [para(664(a,1),2365(a,1,1,2)),rewrite([1289(11),10(9),93(10),1169(8),1289(14),10(12)])]. 254.12/254.34 11838 mult(ld(mult(A,mult(B,B)),A),C) = mult(ld(B,ld(B,ld(B,B))),C). [para(1044(a,1),2892(a,2,1,2)),rewrite([3615(7)])]. 254.12/254.34 11849 mult(ld(A,ld(mult(B,A),B)),C) = mult(ld(A,ld(A,ld(A,A))),C). [para(3332(a,1),2892(a,1,1,1)),rewrite([1044(8),3615(7)])]. 254.12/254.34 12701 rd(mult(ld(A,A),mult(B,ld(A,A))),mult(A,A)) = rd(rd(ld(ld(A,A),B),A),A). [para(1910(a,1),3297(a,1,1)),rewrite([714(9)])]. 254.12/254.34 13831 ld(ld(mult(A,B),A),rd(ld(B,ld(B,B)),mult(C,C))) = ld(C,ld(D,rd(D,C))). [para(1275(a,1),3728(a,1,2))]. 254.12/254.34 14634 rd(ld(A,B),mult(A,B)) = ld(A,ld(mult(C,A),C)). [para(6873(a,1),8(a,1,1))]. 254.12/254.34 14636 mult(ld(A,ld(mult(B,A),B)),C) = ld(A,ld(A,C)). [para(10(a,1),6873(a,1,2))]. 254.12/254.34 14743 mult(ld(A,ld(A,ld(A,A))),B) = ld(A,ld(A,B)). [back_rewrite(11849),rewrite([14636(4)]),flip(a)]. 254.12/254.34 14867 mult(ld(mult(A,mult(B,B)),A),C) = ld(B,ld(B,C)). [back_rewrite(11838),rewrite([14743(8)])]. 254.12/254.34 15195 mult(rd(A,mult(B,mult(B,A))),B) = ld(B,ld(B,B)). [para(7(a,1),7358(a,1,1,1))]. 254.12/254.34 15273 rd(ld(A,ld(A,A)),mult(B,B)) = ld(mult(B,A),rd(ld(B,A),A)). [para(3408(a,1),7359(a,2)),rewrite([14636(4),1361(4)]),flip(a)]. 254.12/254.34 15281 rd(ld(A,ld(A,B)),B) = ld(A,ld(C,rd(C,A))). [back_rewrite(13831),rewrite([15273(6),671(7),8(2)])]. 254.12/254.34 15866 ld(ld(A,mult(rd(mult(A,B),C),B)),D) = ld(mult(B,mult(ld(C,ld(C,C)),B)),D). [para(664(a,1),8628(a,1,1,2)),rewrite([1289(12),10(10),93(11),1169(9)])]. 254.12/254.34 16320 rd(A,mult(B,mult(B,A))) = ld(B,ld(mult(C,B),C)). [para(7(a,1),14634(a,1,1))]. 254.12/254.34 16424 ld(ld(ld(A,ld(A,B)),ld(A,ld(A,ld(A,A)))),ld(B,B)) = B. [para(14743(a,1),414(a,1,1,1))]. 254.12/254.34 16426 ld(ld(A,ld(A,B)),ld(A,ld(A,ld(A,A)))) = ld(mult(C,B),C). [para(14743(a,1),495(a,1,1))]. 254.12/254.34 16428 ld(ld(A,ld(A,B)),ld(A,ld(A,ld(A,A)))) = ld(C,rd(C,B)). [para(14743(a,1),591(a,1,1))]. 254.12/254.34 16429 ld(ld(A,ld(A,ld(B,C))),ld(A,ld(A,ld(A,A)))) = ld(C,B). [para(14743(a,1),714(a,1,1))]. 254.12/254.34 16471 rd(ld(A,ld(A,B)),B) = ld(mult(C,mult(A,A)),C). [para(14867(a,1),8(a,1,1))]. 254.12/254.34 16482 ld(ld(A,ld(A,B)),ld(mult(C,mult(A,A)),C)) = ld(B,ld(B,B)). [para(14867(a,1),1168(a,1,1))]. 254.12/254.34 16498 rd(A,mult(B,mult(B,A))) = ld(B,ld(B,ld(B,B))). [para(15195(a,1),8(a,1,1)),rewrite([1361(3),1145(2),3615(3)]),flip(a)]. 254.12/254.34 16559 rd(ld(A,ld(A,B)),B) = rd(ld(A,A),mult(A,A)). [para(15281(a,2),1174(a,2)),rewrite([3468(3),3712(5),1145(3),1044(3),3712(5)]),flip(a)]. 254.12/254.34 16662 mult(A,rd(B,mult(C,mult(C,B)))) = rd(A,mult(C,C)). [para(16320(a,2),645(a,2,2)),rewrite([3384(3)]),flip(a)]. 254.12/254.34 16688 mult(rd(A,mult(B,mult(B,A))),C) = ld(B,ld(B,C)). [para(16320(a,2),14636(a,1,1))]. 254.12/254.34 16919 ld(mult(A,mult(B,B)),A) = mult(ld(B,ld(B,ld(C,ld(C,C)))),C). [para(2325(a,1),16471(a,1,1,2)),rewrite([645(7),7(6)]),flip(a)]. 254.12/254.34 16923 ld(ld(A,A),rd(B,mult(A,mult(A,B)))) = ld(A,ld(A,ld(A,A))). [para(16498(a,2),2314(a,1,2)),rewrite([3591(3),3602(5),1145(3),1044(3)])]. 254.12/254.34 16935 rd(ld(A,A),mult(A,A)) = mult(ld(A,ld(A,ld(B,ld(B,B)))),B). [para(2325(a,1),16559(a,1,1,2)),rewrite([645(7),7(6)]),flip(a)]. 254.12/254.34 17009 mult(ld(ld(A,ld(A,B)),rd(C,mult(A,mult(A,C)))),B) = ld(B,B). [para(16688(a,1),392(a,1,1,1))]. 254.12/254.34 17018 ld(ld(A,ld(A,B)),rd(C,mult(A,mult(A,C)))) = ld(B,ld(B,B)). [para(16688(a,1),1168(a,1,1))]. 254.12/254.34 18293 rd(ld(rd(rd(A,B),B),A),mult(mult(rd(A,mult(B,A)),B),B)) = B. [para(6328(a,1),8(a,1,1))]. 254.12/254.34 18294 mult(ld(A,A),rd(B,mult(ld(A,A),B))) = ld(B,B). [para(852(a,1),6328(a,1,2)),rewrite([645(7),645(9),852(9)])]. 254.12/254.34 18297 rd(A,mult(ld(B,B),A)) = ld(ld(B,B),ld(A,A)). [para(18294(a,1),7(a,1,2)),flip(a)]. 254.12/254.34 18302 mult(ld(ld(A,A),ld(B,B)),mult(ld(A,A),B)) = B. [para(18297(a,1),9(a,1,1))]. 254.12/254.34 18303 ld(ld(ld(A,A),ld(B,B)),B) = mult(ld(A,A),B). [para(18297(a,1),13(a,1,1))]. 254.12/254.34 18314 ld(rd(ld(A,A),mult(A,ld(B,B))),ld(ld(B,B),ld(A,A))) = A. [para(18297(a,1),1987(a,1,2)),rewrite([1167(5),9(4),417(10),1144(7),10(8)])]. 254.12/254.34 18324 mult(ld(ld(A,A),ld(B,B)),mult(ld(A,A),ld(B,B))) = ld(B,B). [para(1785(a,1),18302(a,1,1,2)),rewrite([1323(4)])]. 254.12/254.34 19549 mult(ld(A,A),ld(B,B)) = ld(A,A). [para(18297(a,1),639(a,1,1,2,1)),rewrite([6315(6),18297(4),1881(6),7(7),18297(11),6315(10),18297(8),1881(10),7(11),853(9),1323(3),18297(11),6315(10),18297(8),1881(10),7(11),645(13),852(13),1145(10),7(13)])]. 254.12/254.34 19550 ld(A,A) = ld(B,B). [back_rewrite(18324),rewrite([19549(6),1881(5),19549(4),19549(3)])]. 254.12/254.34 19552 ld(A,A) = c_0. [new_symbol(19550)]. 254.12/254.34 20312 mult(A,c_0) = A. [back_rewrite(18314),rewrite([19552(1),19552(2),19552(5),19552(6),19552(7),13(6)])]. 254.12/254.34 20321 ld(c_0,A) = mult(c_0,A). [back_rewrite(18303),rewrite([19552(1),19552(2),19552(3),19552(3)])]. 254.12/254.34 21025 ld(ld(A,ld(A,B)),rd(C,mult(A,mult(A,C)))) = ld(B,c_0). [back_rewrite(17018),rewrite([19552(7)])]. 254.12/254.34 21028 mult(ld(A,c_0),A) = c_0. [back_rewrite(17009),rewrite([21025(6),19552(4)])]. 254.12/254.34 21042 mult(ld(A,ld(A,ld(B,c_0))),B) = rd(c_0,mult(A,A)). [back_rewrite(16935),rewrite([19552(1),19552(4)]),flip(a)]. 254.12/254.34 21048 rd(c_0,mult(A,A)) = ld(A,ld(A,c_0)). [back_rewrite(16923),rewrite([19552(1),20321(5),16662(5),19552(4)])]. 254.12/254.34 21051 ld(mult(A,mult(B,B)),A) = ld(B,ld(B,c_0)). [back_rewrite(16919),rewrite([19552(4),21042(8),21048(6)])]. 254.12/254.34 21126 ld(ld(A,ld(A,B)),ld(A,ld(A,c_0))) = ld(B,c_0). [back_rewrite(16482),rewrite([21051(5),19552(7)])]. 254.12/254.34 21130 ld(ld(A,B),c_0) = ld(B,A). [back_rewrite(16429),rewrite([19552(4),21126(7)])]. 254.12/254.34 21131 ld(A,rd(A,B)) = ld(B,c_0). [back_rewrite(16428),rewrite([19552(3),21126(6)]),flip(a)]. 254.12/254.34 21132 ld(mult(A,B),A) = ld(B,c_0). [back_rewrite(16426),rewrite([19552(3),21126(6)]),flip(a)]. 254.12/254.34 21133 mult(c_0,A) = A. [back_rewrite(16424),rewrite([19552(3),21126(6),19552(3),21130(4),20321(2)])]. 254.12/254.34 21187 ld(ld(A,mult(rd(mult(A,B),C),B)),D) = ld(mult(B,mult(ld(C,c_0),B)),D). [back_rewrite(15866),rewrite([19552(6)])]. 254.12/254.34 21391 rd(rd(A,B),B) = rd(A,mult(B,B)). [back_rewrite(12701),rewrite([19552(1),19552(2),20312(3),21133(2),19552(3),20321(4),21133(4)]),flip(a)]. 254.12/254.34 21417 mult(rd(ld(A,B),B),A) = c_0. [back_rewrite(11227),rewrite([19552(5),21187(9),19552(9)]),flip(a)]. 254.12/254.34 21421 rd(ld(A,B),A) = ld(A,rd(B,A)). [back_rewrite(11046),rewrite([19552(1),21133(2),19552(1),20321(2),21133(2),19552(3),21133(4)]),flip(a)]. 254.12/254.34 21422 mult(A,ld(B,c_0)) = rd(A,B). [back_rewrite(11041),rewrite([19552(1),21133(2),19552(1),20312(2),19552(2),20312(3),19552(2)]),flip(a)]. 254.12/254.34 21425 rd(c_0,A) = ld(A,c_0). [back_rewrite(10871),rewrite([19552(1),19552(2),21131(6),21132(7),20321(4),21422(4),19552(3)])]. 254.12/254.34 21563 mult(ld(A,c_0),B) = ld(A,B). [back_rewrite(8483),rewrite([19552(3),21133(2),19552(2)]),flip(a)]. 254.12/254.34 21565 ld(A,f1(ld(A,c_0))) != f1(ld(A,c_0)) | rd(f1(ld(A,c_0)),A) != f1(ld(A,c_0)) # answer(goals). [back_rewrite(8460),rewrite([19552(1),21132(5),21132(7),21563(9),19552(9),19552(12),21132(15),21131(17)]),flip(a),flip(b)]. 254.12/254.34 21645 ld(ld(A,rd(B,A)),ld(A,c_0)) = ld(rd(B,A),c_0). [back_rewrite(7377),rewrite([21421(2),19552(3),21131(8)])]. 254.12/254.34 21648 mult(rd(A,mult(B,A)),B) = c_0. [back_rewrite(7372),rewrite([21421(2),19552(3),21645(5),21028(5)]),flip(a)]. 254.12/254.34 22080 mult(rd(A,B),A) = mult(A,ld(B,A)). [back_rewrite(2555),rewrite([21417(3),21133(2),19552(3),21563(5)])]. 254.12/254.34 22104 ld(rd(A,B),c_0) = rd(B,A). [back_rewrite(1815),rewrite([19552(1),21425(3),22080(6),21132(5),21422(6)])]. 254.12/254.34 22141 rd(A,A) = c_0. [back_rewrite(1145),rewrite([19552(2)])]. 254.12/254.34 22182 ld(ld(A,B),ld(A,c_0)) = ld(B,c_0). [back_rewrite(10206),rewrite([21131(4),21131(4),21563(5),21131(5)]),flip(a)]. 254.12/254.34 22337 mult(rd(A,B),rd(B,A)) = c_0. [back_rewrite(7017),rewrite([21421(2),21131(4),22182(5),22104(3),21648(6)])]. 254.12/254.34 22400 rd(mult(A,A),B) = rd(A,rd(B,A)). [back_rewrite(3493),rewrite([21132(3),21563(5),21131(3),21422(4),21391(2),22337(5),22104(4)])]. 254.12/254.34 22417 ld(c_0,A) = A. [back_rewrite(20321),rewrite([21133(4)])]. 254.12/254.34 22424 rd(A,c_0) = A. [back_rewrite(18293),rewrite([21391(2),13(3),21648(4),21133(3),22400(2),22141(1)])]. 254.12/254.34 24800 $F # answer(goals). [para(19552(a,1),21565(b,1,1,1)),rewrite([19552(4),22417(4),19552(5),22424(9),19552(10)]),xx(a),xx(b)]. 254.12/254.34 254.12/254.34 % SZS output end Refutation 254.12/254.34 ============================== end of proof ========================== 254.12/254.34 254.12/254.34 ============================== STATISTICS ============================ 254.12/254.34 254.12/254.34 Given=2761. Generated=6262360. Kept=24793. proofs=1. 254.12/254.34 Usable=229. Sos=2733. Demods=2609. Limbo=12, Disabled=21825. Hints=0. 254.12/254.34 Megabytes=30.59. 254.12/254.34 User_CPU=250.19, System_CPU=3.71, Wall_clock=254. 254.12/254.34 254.12/254.34 ============================== end of statistics ===================== 254.12/254.34 254.12/254.34 ============================== end of search ========================= 254.12/254.35 254.12/254.35 THEOREM PROVED 254.12/254.35 % SZS status Theorem 254.12/254.35 254.12/254.35 Exiting with 1 proof. 254.12/254.35 254.12/254.35 Process 10397 exit (max_proofs) Sat Jul 14 05:32:09 2018 254.12/254.35 Prover9 interrupted 254.12/254.35 EOF