TSTP Solution File: GRP812+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP812+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 11:21:10 EDT 2022
% Result : Timeout 300.02s 300.29s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP812+1 : TPTP v8.1.0. Released v7.5.0.
% 0.13/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 14 03:39:40 EDT 2022
% 0.21/0.35 % CPUTime :
% 0.75/1.03 ============================== Prover9 ===============================
% 0.75/1.03 Prover9 (32) version 2009-11A, November 2009.
% 0.75/1.03 Process 23775 was started by sandbox on n029.cluster.edu,
% 0.75/1.03 Tue Jun 14 03:39:41 2022
% 0.75/1.03 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_23622_n029.cluster.edu".
% 0.75/1.03 ============================== end of head ===========================
% 0.75/1.03
% 0.75/1.03 ============================== INPUT =================================
% 0.75/1.03
% 0.75/1.03 % Reading from file /tmp/Prover9_23622_n029.cluster.edu
% 0.75/1.03
% 0.75/1.03 set(prolog_style_variables).
% 0.75/1.03 set(auto2).
% 0.75/1.03 % set(auto2) -> set(auto).
% 0.75/1.03 % set(auto) -> set(auto_inference).
% 0.75/1.03 % set(auto) -> set(auto_setup).
% 0.75/1.03 % set(auto_setup) -> set(predicate_elim).
% 0.75/1.03 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.75/1.03 % set(auto) -> set(auto_limits).
% 0.75/1.03 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.75/1.03 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.75/1.03 % set(auto) -> set(auto_denials).
% 0.75/1.03 % set(auto) -> set(auto_process).
% 0.75/1.03 % set(auto2) -> assign(new_constants, 1).
% 0.75/1.03 % set(auto2) -> assign(fold_denial_max, 3).
% 0.75/1.03 % set(auto2) -> assign(max_weight, "200.000").
% 0.75/1.03 % set(auto2) -> assign(max_hours, 1).
% 0.75/1.03 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.75/1.03 % set(auto2) -> assign(max_seconds, 0).
% 0.75/1.03 % set(auto2) -> assign(max_minutes, 5).
% 0.75/1.03 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.75/1.03 % set(auto2) -> set(sort_initial_sos).
% 0.75/1.03 % set(auto2) -> assign(sos_limit, -1).
% 0.75/1.03 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.75/1.03 % set(auto2) -> assign(max_megs, 400).
% 0.75/1.03 % set(auto2) -> assign(stats, some).
% 0.75/1.03 % set(auto2) -> clear(echo_input).
% 0.75/1.03 % set(auto2) -> set(quiet).
% 0.75/1.03 % set(auto2) -> clear(print_initial_clauses).
% 0.75/1.03 % set(auto2) -> clear(print_given).
% 0.75/1.03 assign(lrs_ticks,-1).
% 0.75/1.03 assign(sos_limit,10000).
% 0.75/1.03 assign(order,kbo).
% 0.75/1.03 set(lex_order_vars).
% 0.75/1.03 clear(print_given).
% 0.75/1.03
% 0.75/1.03 % formulas(sos). % not echoed (36 formulas)
% 0.75/1.03
% 0.75/1.03 ============================== end of input ==========================
% 0.75/1.03
% 0.75/1.03 % From the command line: assign(max_seconds, 300).
% 0.75/1.03
% 0.75/1.03 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.75/1.03
% 0.75/1.03 % Formulas that are not ordinary clauses:
% 0.75/1.03 1 (all X m(X,e) = X) # label(id1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 2 (all X m(e,X) = X) # label(id2) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 3 (all X all Y m(X,b(X,Y)) = Y) # label(b1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 4 (all X all Y b(X,m(X,Y)) = Y) # label(b2) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 5 (all X all Y m(s(X,Y),Y) = X) # label(s1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 6 (all X all Y s(m(X,Y),Y) = X) # label(s2) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 7 (all X all U t(X,U) = b(X,m(U,X))) # label(tdef) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 8 (all X all U i1(X,U) = m(X,m(U,b(X,e)))) # label(i1def) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 9 (all X all U j1(X,U) = m(m(s(e,X),U),X)) # label(j1def) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 10 (all X all U i2(X,U) = m(b(X,U),b(b(X,e),e))) # label(i2def) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 11 (all X all U j2(X,U) = m(s(e,s(e,X)),s(U,X))) # label(j2def) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 12 (all X all Y all U l(X,Y,U) = b(m(Y,X),m(Y,m(X,U)))) # label(ldef) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 13 (all X all Y all U r(X,Y,U) = s(m(m(U,X),Y),m(X,Y))) # label(rdef) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 14 (all X14 all X15 all X16 r(X14,X15,t(X14,i1(X15,r(X14,X15,t(X14,i1(X15,r(X14,X15,t(X14,i1(X15,r(X14,X15,t(X14,i1(X15,X16)))))))))))) = X16) # label(ax1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 15 (all X14 all X15 all X16 l(X14,X15,i2(X14,i2(X15,l(X14,X15,i2(X14,i2(X15,l(X14,X15,i2(X14,i2(X15,l(X14,X15,i2(X14,i2(X15,l(X14,X15,i2(X14,i2(X15,X16))))))))))))))) = X16) # label(ax2) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 16 (all X14 all X15 all X16 all X17 t(X14,i1(X15,j2(X16,X17))) = i1(X15,j2(X16,t(X14,X17)))) # label(ax3) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 17 (all X14 all X15 all X16 all X17 all X18 r(X14,X15,i2(X16,i1(X17,X18))) = i2(X16,i1(X17,r(X14,X15,X18)))) # label(ax4) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 18 (all X14 all X15 all X16 all X17 all X18 t(X14,t(X15,j2(X16,i2(X17,X18)))) = j2(X16,i2(X17,t(X14,t(X15,X18))))) # label(ax5) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 19 (all X14 all X15 all X16 all X17 all X18 i2(X14,i2(X15,i2(X16,j2(X17,X18)))) = i2(X16,j2(X17,i2(X14,i2(X15,X18))))) # label(ax6) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 20 (all X14 all X15 all X16 all X17 all X18 i1(X14,j2(X15,i1(X16,i1(X17,X18)))) = i1(X16,i1(X17,i1(X14,j2(X15,X18))))) # label(ax7) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 21 (all X14 all X15 all X16 all X17 all X18 i2(X14,i2(X15,i2(X16,i2(X17,X18)))) = i2(X16,i2(X17,i2(X14,i2(X15,X18))))) # label(ax8) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 22 (all X14 all X15 all X16 all X17 all X18 t(X14,i1(X15,j2(X16,t(X17,X18)))) = j2(X16,t(X17,t(X14,i1(X15,X18))))) # label(ax9) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 23 (all X14 all X15 all X16 all X17 all X18 all X19 l(X14,X15,t(X16,i2(X17,i1(X18,X19)))) = i2(X17,i1(X18,l(X14,X15,t(X16,X19))))) # label(ax10) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 24 (all X14 all X15 all X16 all X17 all X18 all X19 l(X14,X15,i2(X16,i2(X17,i2(X18,X19)))) = i2(X17,i2(X18,l(X14,X15,i2(X16,X19))))) # label(ax11) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 25 (all X14 all X15 all X16 all X17 all X18 all X19 all X20 r(X14,X15,i1(X16,r(X17,X18,i1(X19,X20)))) = r(X17,X18,i1(X19,r(X14,X15,i1(X16,X20))))) # label(ax12) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 26 (all X14 all X15 all X16 all X17 all X18 all X19 all X20 r(X14,X15,i2(X16,r(X17,X18,i2(X19,X20)))) = r(X17,X18,i2(X19,r(X14,X15,i2(X16,X20))))) # label(ax13) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 27 (all X14 all X15 all X16 all X17 all X18 all X19 all X20 all X21 r(X14,X15,t(X16,i2(X17,l(X18,X19,j2(X20,X21))))) = l(X18,X19,j2(X20,r(X14,X15,t(X16,i2(X17,X21)))))) # label(ax14) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 28 (all X14 all X15 all X16 all X17 all X18 all X19 all X20 all X21 l(X14,X15,i2(X16,i1(X17,r(X18,X19,i2(X20,X21))))) = r(X18,X19,i2(X20,l(X14,X15,i2(X16,i1(X17,X21)))))) # label(ax15) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 29 (all X14 all X15 all X16 all X17 all X18 all X19 all X20 all X21 r(X14,X15,t(X16,i1(X17,l(X18,X19,i1(X20,X21))))) = l(X18,X19,i1(X20,r(X14,X15,t(X16,i1(X17,X21)))))) # label(ax16) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 30 (all X14 all X15 all X16 all X17 all X18 all X19 all X20 all X21 l(X14,X15,i2(X16,t(X17,r(X18,X19,i2(X20,X21))))) = r(X18,X19,i2(X20,l(X14,X15,i2(X16,t(X17,X21)))))) # label(ax17) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 31 (all X14 all X15 all X16 all X17 all X18 all X19 all X20 all X21 r(X14,X15,i2(X16,i1(X17,r(X18,X19,i2(X20,X21))))) = r(X18,X19,i2(X20,r(X14,X15,i2(X16,i1(X17,X21)))))) # label(ax18) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 32 (all X14 all X15 all X16 all X17 all X18 all X19 all X20 all X21 l(X14,X15,t(X16,j2(X17,l(X18,X19,i1(X20,X21))))) = l(X18,X19,i1(X20,l(X14,X15,t(X16,j2(X17,X21)))))) # label(ax19) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 33 (all X14 all X15 all X16 all X17 all X18 all X19 all X20 all X21 r(X14,X15,i1(X16,i2(X17,r(X18,X19,j2(X20,X21))))) = r(X18,X19,j2(X20,r(X14,X15,i1(X16,i2(X17,X21)))))) # label(ax20) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 34 (all X14 all X15 all X16 all X17 all X18 all X19 all X20 all X21 r(X14,X15,i1(X16,i1(X17,r(X18,X19,t(X20,X21))))) = r(X18,X19,t(X20,r(X14,X15,i1(X16,i1(X17,X21)))))) # label(ax21) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 35 (all X14 all X15 all X16 all X17 all X18 all X19 all X20 all X21 r(X14,X15,t(X16,i1(X17,r(X18,X19,t(X20,X21))))) = r(X18,X19,t(X20,r(X14,X15,t(X16,i1(X17,X21)))))) # label(ax22) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 36 -(all U all X all Y all Z all W a(W,m(s(e,U),r(X,Y,U)),Z) = e) # label(conj) # label(negated_conjecture) # label(non_clause). [assumption].
% 23.44/23.70
% 23.44/23.70 ============================== end of process non-clausal formulas ===
% 23.44/23.70
% 23.44/23.70 ============================== PROCESS INITIAL CLAUSES ===============
% 23.44/23.70
% 23.44/23.70 ============================== PREDICATE ELIMINATION =================
% 23.44/23.70
% 23.44/23.70 ============================== end predicate elimination =============
% 23.44/23.70
% 23.44/23.70 Auto_denials:
% 23.44/23.70 % copying label conj to answer in negative clause
% 23.44/23.70
% 23.44/23.70 Term ordering decisions:
% 23.44/23.70 Function symbol KB weights: e=1. c1=1. c2=1. c3=1. c4=1. c5=1. i2=1. i1=1. t=1. m=1. j2=1. b=1. s=1. j1=1. r=1. l=1. a=1.
% 23.44/23.70
% 23.44/23.70 ============================== end of process initial clauses ========
% 23.44/23.70
% 23.44/23.70 ============================== CLAUSES FOR SEARCH ====================
% 23.44/23.70
% 23.44/23.70 ============================== end of clauses for search =============
% 23.44/23.70
% 23.44/23.70 ============================== SEARCH ================================
% 23.44/23.70
% 23.44/23.70 % Starting search at 0.02 seconds.
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=175.000, iters=3368
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=163.000, iters=3453
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=147.000, iters=3350
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=139.000, iters=3393
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=131.000, iters=3356
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=127.000, iters=3346
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=123.000, iters=3335
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=119.000, iters=3341
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=115.000, iters=3358
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=111.000, iters=3378
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=107.000, iters=3454
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=99.000, iters=3408
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=95.000, iters=3348
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=91.000, iters=3435
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=87.000, iters=3340
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=85.000, iters=3340
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=83.000, iters=3386
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=79.000, iters=3342
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=77.000, iters=3364
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=75.000, iters=3355
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=73.000, iters=3381
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=71.000, iters=3346
% 23.44/23.70
% 23.44/23.70 Low Water (displace): id=5136, wt=199.000
% 23.44/23.70
% 23.44/23.70 Low Water (displace): id=12437, wt=63.000
% 23.44/23.70
% 23.44/23.70 Low Water (displace): id=12440, wt=57.000
% 23.44/23.70
% 23.44/23.70 Low Water (displace): id=12443, wt=55.000
% 23.44/23.70
% 23.44/23.70 Low Water (displace): id=12445, wt=41.000
% 23.44/23.70
% 23.44/23.70 Low Water (displace): id=12452, wt=33.000
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=69.000, iters=3335
% 23.44/23.70
% 23.44/23.70 Low Water (displace): id=12630, wt=29.000
% 23.44/23.70
% 23.44/23.70 Low Water (displace): id=13144, wt=25.000
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=67.000, iters=3409
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=65.000, iters=3360
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=63.000, iters=3340
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=61.000, iters=3363
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=59.000, iters=3392
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=57.000, iters=3335
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=55.000, iters=3373
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=53.000, iters=3346
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=51.000, iters=3338
% 23.44/23.70
% 23.44/23.70 Low Water (displace): id=18698, wt=23.000
% 23.44/23.70
% 23.44/23.70 Low Water (displace): id=19155, wt=19.000
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=49.000, iters=3390
% 23.44/23.70
% 23.44/23.70 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 42 (0.00 of 13.42 sec).
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=47.000, iters=3348
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=45.000, iters=3342
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=43.000, iters=3358
% 23.44/23.70
% 23.44/23.70 Low Water (keep): wt=41.000, iters=3470
% 23.44/23.70 % back CAC tautology: 36467 m(m(A,m(m(B,s(C,B)),b(A,e))),m(D,m(C,b(D,e)))) = m(m(D,m(C,b(D,e))),m(A,m(m(B,s(C,B)),b(A,e)))). [back_rewrite(3863),rewrite([32521(3),101(4),32521(18),101(19)])].
% 23.44/23.70 % back CAC tautology: 36392 m(s(b(A,B),b(A,e)),m(C,m(m(D,s(B,D)),b(C,e)))) = m(m(C,m(m(D,s(B,D)),b(C,e))),s(b(A,B),b(A,e))). [back_rewrite(4598),rewrite([32521(7),101(8),32521(14),101(15)])].
% 23.44/23.70 % back CAC tautology: 36210 m(s(A,b(s(B,A),e)),m(C,m(m(D,s(B,D)),b(C,e)))) = m(m(C,m(m(D,s(B,D)),b(C,e))),s(A,b(s(B,A),e))). [back_rewrite(5156),rewrite([32521(7),101(8),32521(14),101(15)])].
% 23.44/23.70 % back CAC tautology: 36174 m(s(b(b(A,e),B),A),m(C,m(m(D,s(B,D)),b(C,e)))) = m(m(C,m(m(D,s(B,D)),b(C,e))),s(b(b(A,e),B),A)). [back_rewrite(5286),rewrite([32521(2),32521(7),101(8),32521(14),101(15),32521(19)])].
% 23.44/23.70 % back CAC tautology: 36170 m(s(b(b(A,e),B),A),m(C,m(B,b(C,e)))) = m(m(C,m(B,b(C,e))),s(b(b(A,e),B),A)). [back_rewrite(5296),rewrite([32521(2),32521(15)])].
% 23.44/23.70 % back CAC tautology: 35880 m(b(A,b(B,m(A,B))),m(C,m(m(D,s(A,D)),b(C,e)))) = m(m(C,m(m(D,s(A,D)),b(C,e))),b(A,b(B,m(A,B)))). [back_rewrite(7296),rewrite([32521(4),1385(5),32521(6),101(7),32521(7),1385(8),33368(9),32521(13),101(14),32521(13),101(14),32521(20),1385(21)])].
% 23.44/23.70 % back CAC tautology: 35878 m(b(A,b(B,m(A,B))),m(C,m(A,b(C,e)))) = m(m(C,m(A,b(C,e))),b(A,b(B,m(A,B)))). [back_rewrite(7327),rewrite([32521(4),1385(5),32521(7),1385(8),33368(9),32521(11),101(12),32521(16),1385(17)])].
% 23.44/23.70 % back CAC tautology: 35874 m(m(A,b(b(b(A,e),B),B)),m(C,m(m(D,s(b(A,e),D)),b(C,e)))) = m(m(C,m(m(D,s(b(A,e),D)),b(C,e))),m(A,b(b(b(A,e),B),B))). [back_rewrite(7369),rewrite([33215(5),32521(8),101(9),33215(10),22899(15),32521(17),101(18),32521(16),33215(27)])].
% 23.44/23.70 % back CAC tautology: 35872 m(m(A,b(b(b(A,e),B),B)),m(C,m(b(A,e),b(C,e)))) = m(m(C,m(b(A,e),b(C,e))),m(A,b(b(b(A,e),B),B))). [back_rewrite(7386),rewrite([33215(5),33215(10),22899(15),32521(14),33215(23)])].
% 23.44/23.70 % back CAC tautology: 34976 m(s(b(A,B),b(A,e)),m(b(C,e),m(B,C))) = m(m(b(C,e),m(B,C)),s(b(A,B),b(A,e))). [back_rewrite(10513),rewrite([32521(6),32521(11)])].
% 23.44/23.70 % back CAC tautology: 34973 m(s(A,b(s(B,A),e)),m(b(C,e),m(B,C))) = m(m(b(C,e),m(B,C)),s(A,b(s(B,A),e))). [back_rewrite(10522),rewrite([32521(6),32521(11)])].
% 23.44/23.70 % back CAC tautology: 34972 m(s(b(b(A,e),B),A),m(b(C,e),m(B,C))) = m(m(b(C,e),m(B,C)),s(b(b(A,e),B),A)). [back_rewrite(10523),rewrite([32521(2),32521(6),32521(11),32521(15)])].
% 23.44/23.70 % back CAC tautology: 34085 m(s(A,s(A,B)),m(b(C,e),m(B,C))) = m(m(b(C,e),m(B,C)),s(A,s(A,B))). [back_rewrite(16382),rewrite([32521(4),32521(9)])].
% 23.44/23.70 % back CAC tautology: 34070 m(b(b(A,B),B),m(C,m(m(D,s(A,D)),b(C,e)))) = m(m(C,m(m(D,s(A,D)),b(C,e))),b(b(A,B),B)). [back_rewrite(16495),rewrite([32521(5),101(6),32521(12),101(13)])].
% 23.44/23.70 % back CAC tautology: 34064 m(b(b(A,B),B),m(b(C,e),m(A,C))) = m(m(b(C,e),m(A,C)),b(b(A,B),B)). [back_rewrite(16514),rewrite([32521(4),32521(9)])].
% 23.44/23.70 % back CAC tautology: 33999 m(s(b(b(A,e),B),A),b(C,m(B,C))) = m(b(C,m(B,C)),s(b(b(A,e),B),A)). [back_rewrite(16844),rewrite([32521(2),32521(11)])].
% 23.44/23.70 % back CAC tautology: 33996 m(b(A,b(B,m(A,B))),b(C,m(A,C))) = m(b(C,m(A,C)),b(A,b(B,m(A,B)))). [back_rewrite(16872),rewrite([32521(4),1385(5),32521(7),1385(8),33368(9),32521(9),101(10),32521(12),1385(13)])].
% 23.44/23.70 % back CAC tautology: 33523 m(b(A,b(b(A,e),B)),m(C,m(m(D,s(B,D)),b(C,e)))) = m(m(C,m(m(D,s(B,D)),b(C,e))),b(A,b(b(A,e),B))). [back_rewrite(20032),rewrite([32521(2),32521(7),101(8),32521(14),101(15),32521(19)])].
% 23.44/23.70 % back CAC tautology: 33522 m(b(A,b(b(A,e),B)),m(C,m(B,b(C,e)))) = m(m(C,m(B,b(C,e))),b(A,b(b(A,e),B))). [back_rewrite(20035),rewrite([32521(2),32521(15)])].
% 23.44/23.70 % back CAC tautology: 33514 m(b(A,b(b(A,e),B)),m(b(C,e),m(B,C))) = m(m(b(C,e),m(B,C)),b(A,b(b(A,e),B))). [back_rewrite(20047),rewrite([32521(2),32521(6),32521(11),32521(15)])].
% 23.44/23.70 % back CAC tautology: 33507 m(b(A,b(b(A,e),B)),b(C,m(B,C))) = m(b(C,m(B,C)),b(A,b(b(A,e),B))). [back_rewrite(20056),rewrite([32521(2),32521(11)])].
% 23.44/23.70 % back CAC tautology: 33490 m(m(b(A,e),m(A,B)),m(C,m(m(D,s(B,D)),b(C,e)))) = m(m(C,m(m(D,s(B,D)),b(C,e))),m(b(A,e),m(A,B))). [back_rewrite(20098),rewrite([32521(2),32521(7),101(8),32521(14),101(15),32521(19)])].
% 23.44/23.70 % back CAC tautology: 33485 m(m(b(A,e),m(A,B)),m(C,m(B,b(C,e)))) = m(m(C,m(B,b(C,e))),m(b(A,e),m(A,B))). [back_rewrite(20108),rewrite([32521(2),32521(15)])].
% 23.44/23.70 % back CAC tautology: 33435 m(b(b(A,e),b(A,B)),m(C,m(m(D,s(B,D)),b(C,e)))) = m(m(C,m(m(D,s(B,D)),b(C,e))),b(b(A,e),b(A,B))). [back_rewrite(20472),rewrite([32521(7),101(8),32521(14),101(15)])].
% 23.44/23.70 % back CAC tautology: 33429 m(b(b(A,e),b(A,B)),m(b(C,e),m(B,C))) = m(m(b(C,e),m(B,C)),b(b(A,e),b(A,B))). [back_rewrite(20490),rewrite([32521(6),32521(11)])].
% 23.44/23.70 % back CAC tautology: 33247 m(s(m(A,B),A),b(C,b(b(C,e),B))) = m(b(C,b(b(C,e),B)),s(m(A,B),A)). [back_rewrite(22102),rewrite([32521(4),32521(9)])].
% 23.44/23.70 % back CAC tautology: 33189 m(b(A,s(A,b(A,e))),m(b(B,e),m(A,B))) = m(m(b(B,e),m(A,B)),b(A,s(A,b(A,e)))). [back_rewrite(25233),rewrite([32521(6),32521(11)])].
% 23.44/23.70 % back CAC tautology: 33129 m(s(s(A,B),b(B,e)),m(C,m(A,b(C,e)))) = m(m(C,m(A,b(C,e))),s(s(A,B),b(B,e))). [back_rewrite(25572),rewrite([32521(3),32521(16)])].
% 23.44/23.70 % back CAC tautology: 32770 m(s(m(A,b(B,e)),A),b(b(B,e),s(b(B,e),B))) = m(b(b(B,e),s(b(B,e),B)),s(m(A,b(B,e)),A)). [back_rewrite(30182),rewrCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------