TSTP Solution File: LAT400-4 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT400-4 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n013.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 : Sun Jul 17 06:28:40 EDT 2022
% Result : Unsatisfiable 130.56s 130.80s
% Output : Refutation 130.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT400-4 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 28 20:02:59 EDT 2022
% 0.14/0.35 % CPUTime :
% 15.11/15.44 ============================== Prover9 ===============================
% 15.11/15.44 Prover9 (32) version 2009-11A, November 2009.
% 15.11/15.44 Process 22018 was started by sandbox2 on n013.cluster.edu,
% 15.11/15.44 Tue Jun 28 20:03:00 2022
% 15.11/15.44 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_21865_n013.cluster.edu".
% 15.11/15.44 ============================== end of head ===========================
% 15.11/15.44
% 15.11/15.44 ============================== INPUT =================================
% 15.11/15.44
% 15.11/15.44 % Reading from file /tmp/Prover9_21865_n013.cluster.edu
% 15.11/15.44
% 15.11/15.44 set(prolog_style_variables).
% 15.11/15.44 set(auto2).
% 15.11/15.44 % set(auto2) -> set(auto).
% 15.11/15.44 % set(auto) -> set(auto_inference).
% 15.11/15.44 % set(auto) -> set(auto_setup).
% 15.11/15.44 % set(auto_setup) -> set(predicate_elim).
% 15.11/15.44 % set(auto_setup) -> assign(eq_defs, unfold).
% 15.11/15.44 % set(auto) -> set(auto_limits).
% 15.11/15.44 % set(auto_limits) -> assign(max_weight, "100.000").
% 15.11/15.44 % set(auto_limits) -> assign(sos_limit, 20000).
% 15.11/15.44 % set(auto) -> set(auto_denials).
% 15.11/15.44 % set(auto) -> set(auto_process).
% 15.11/15.44 % set(auto2) -> assign(new_constants, 1).
% 15.11/15.44 % set(auto2) -> assign(fold_denial_max, 3).
% 15.11/15.44 % set(auto2) -> assign(max_weight, "200.000").
% 15.11/15.44 % set(auto2) -> assign(max_hours, 1).
% 15.11/15.44 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 15.11/15.44 % set(auto2) -> assign(max_seconds, 0).
% 15.11/15.44 % set(auto2) -> assign(max_minutes, 5).
% 15.11/15.44 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 15.11/15.44 % set(auto2) -> set(sort_initial_sos).
% 15.11/15.44 % set(auto2) -> assign(sos_limit, -1).
% 15.11/15.44 % set(auto2) -> assign(lrs_ticks, 3000).
% 15.11/15.44 % set(auto2) -> assign(max_megs, 400).
% 15.11/15.44 % set(auto2) -> assign(stats, some).
% 15.11/15.44 % set(auto2) -> clear(echo_input).
% 15.11/15.44 % set(auto2) -> set(quiet).
% 15.11/15.44 % set(auto2) -> clear(print_initial_clauses).
% 15.11/15.44 % set(auto2) -> clear(print_given).
% 15.11/15.44 assign(lrs_ticks,-1).
% 15.11/15.44 assign(sos_limit,10000).
% 15.11/15.44 assign(order,kbo).
% 15.11/15.44 set(lex_order_vars).
% 15.11/15.44 clear(print_given).
% 15.11/15.44
% 15.11/15.44 % formulas(sos). % not echoed (15 formulas)
% 15.11/15.44
% 15.11/15.44 ============================== end of input ==========================
% 15.11/15.44
% 15.11/15.44 % From the command line: assign(max_seconds, 300).
% 15.11/15.44
% 15.11/15.44 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 15.11/15.44
% 15.11/15.44 % Formulas that are not ordinary clauses:
% 15.11/15.44
% 15.11/15.44 ============================== end of process non-clausal formulas ===
% 15.11/15.44
% 15.11/15.44 ============================== PROCESS INITIAL CLAUSES ===============
% 15.11/15.44
% 15.11/15.44 ============================== PREDICATE ELIMINATION =================
% 15.11/15.44
% 15.11/15.44 ============================== end predicate elimination =============
% 15.11/15.44
% 15.11/15.44 Auto_denials:
% 15.11/15.44 % copying label conjecture_1 to answer in negative clause
% 15.11/15.44
% 15.11/15.44 Term ordering decisions:
% 15.11/15.44 Function symbol KB weights: a=1. x2=1. y2=1. z2=1. meet=1. join=1. upme=1. lome=1. lojo=1. upjo=1.
% 15.11/15.44
% 15.11/15.44 ============================== end of process initial clauses ========
% 15.11/15.44
% 15.11/15.44 ============================== CLAUSES FOR SEARCH ====================
% 15.11/15.44
% 15.11/15.44 ============================== end of clauses for search =============
% 15.11/15.44
% 15.11/15.44 ============================== SEARCH ================================
% 15.11/15.44
% 15.11/15.44 % Starting search at 0.01 seconds.
% 15.11/15.44
% 15.11/15.44 Low Water (keep): wt=139.000, iters=3365
% 15.11/15.44
% 15.11/15.44 Low Water (keep): wt=131.000, iters=3396
% 15.11/15.44
% 15.11/15.44 Low Water (keep): wt=111.000, iters=3370
% 15.11/15.44
% 15.11/15.44 Low Water (keep): wt=99.000, iters=3365
% 15.11/15.44
% 15.11/15.44 Low Water (keep): wt=91.000, iters=3348
% 15.11/15.44
% 15.11/15.44 Low Water (keep): wt=85.000, iters=3445
% 15.11/15.44
% 15.11/15.44 Low Water (keep): wt=83.000, iters=3440
% 15.11/15.44
% 15.11/15.44 Low Water (keep): wt=73.000, iters=3358
% 15.11/15.44
% 15.11/15.44 Low Water (keep): wt=69.000, iters=3373
% 15.11/15.44
% 15.11/15.44 Low Water (keep): wt=67.000, iters=3352
% 15.11/15.44
% 15.11/15.44 Low Water (keep): wt=65.000, iters=3368
% 15.11/15.44
% 15.11/15.44 Low Water (keep): wt=61.000, iters=3333
% 15.11/15.44
% 15.11/15.44 Low Water (keep): wt=59.000, iters=3338
% 15.11/15.44
% 15.11/15.44 Low Water (keep): wt=55.000, iters=3389
% 15.11/15.44
% 15.11/15.44 Low Water (keep): wt=53.000, iters=3335
% 15.11/15.44
% 15.11/15.44 Low Water (keep): wt=51.000, iters=3430
% 15.11/15.44
% 15.11/15.44 Low Water (keep): wt=49.000, iters=3353
% 15.11/15.44
% 15.11/15.44 Low Water (keep): wt=47.000, iters=3356
% 15.11/15.44
% 15.11/15.44 Low Water (keep): wt=45.000, iters=3334
% 15.11/15.44
% 15.11/15.44 Low Water (keep): wt=43.000, iters=3348
% 15.11/15.44
% 15.11/15.44 Low Water (keep): wt=41.000, iters=3333
% 15.11/15.44
% 15.11/15.44 Low Water (keep): wt=39.000, iters=3337
% 15.11/15.44
% 15.11/15.44 Low Water (keep): wt=37.000, iters=3344
% 15.11/15.44
% 15.11/15.44 Low Water (keep): wt=35.000, iters=3336
% 15.11/15.44
% 15.11/15.44 Low Water (keep): wt=33.000, iters=3340
% 15.11/15.44
% 15.11/15.44 Low Water (keep): wt=31.000, iters=3345
% 15.11/15.44
% 15.11/15.44 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 21 (0.00 of 14.35 sec).
% 130.56/130.80
% 130.56/130.80 Low Water (keep): wt=29.000, iters=3345
% 130.56/130.80
% 130.56/130.80 Low Water (displace): id=7690, wt=191.000
% 130.56/130.80
% 130.56/130.80 Low Water (displace): id=15071, wt=189.000
% 130.56/130.80
% 130.56/130.80 Low Water (displace): id=7094, wt=179.000
% 130.56/130.80
% 130.56/130.80 Low Water (displace): id=9525, wt=171.000
% 130.56/130.80
% 130.56/130.80 Low Water (displace): id=6732, wt=167.000
% 130.56/130.80
% 130.56/130.80 Low Water (displace): id=8306, wt=165.000
% 130.56/130.80
% 130.56/130.80 Low Water (displace): id=8647, wt=163.000
% 130.56/130.80
% 130.56/130.80 Low Water (displace): id=6685, wt=161.000
% 130.56/130.80
% 130.56/130.80 Low Water (displace): id=7315, wt=159.000
% 130.56/130.80
% 130.56/130.80 Low Water (displace): id=5582, wt=157.000
% 130.56/130.80
% 130.56/130.80 Low Water (displace): id=15027, wt=151.000
% 130.56/130.80
% 130.56/130.80 Low Water (displace): id=7095, wt=149.000
% 130.56/130.80
% 130.56/130.80 Low Water (displace): id=21678, wt=27.000
% 130.56/130.80
% 130.56/130.80 Low Water (displace): id=21686, wt=23.000
% 130.56/130.80
% 130.56/130.80 Low Water (displace): id=21696, wt=21.000
% 130.56/130.80
% 130.56/130.80 Low Water (displace): id=21707, wt=19.000
% 130.56/130.80
% 130.56/130.80 Low Water (displace): id=21749, wt=17.000
% 130.56/130.80
% 130.56/130.80 Low Water (keep): wt=27.000, iters=3333
% 130.56/130.80
% 130.56/130.80 Low Water (displace): id=24510, wt=15.000
% 130.56/130.80
% 130.56/130.80 Low Water (keep): wt=25.000, iters=3334
% 130.56/130.80
% 130.56/130.80 Low Water (keep): wt=23.000, iters=3337
% 130.56/130.80
% 130.56/130.80 Low Water (keep): wt=21.000, iters=3336
% 130.56/130.80
% 130.56/130.80 ============================== PROOF =================================
% 130.56/130.80 % SZS status Unsatisfiable
% 130.56/130.80 % SZS output start Refutation
% 130.56/130.80
% 130.56/130.80 % Proof 1 at 128.91 (+ 0.89) seconds: conjecture_1.
% 130.56/130.80 % Length of proof is 279.
% 130.56/130.80 % Level of proof is 38.
% 130.56/130.80 % Maximum clause weight is 81.000.
% 130.56/130.80 % Given clauses 1974.
% 130.56/130.80
% 130.56/130.80 1 meet(A,B) = meet(B,A) # label(commutativity) # label(axiom). [assumption].
% 130.56/130.80 2 join(A,B) = join(B,A) # label(commutativity_001) # label(axiom). [assumption].
% 130.56/130.80 3 join(A,meet(A,B)) = A # label(absorption) # label(axiom). [assumption].
% 130.56/130.80 4 meet(A,join(A,B)) = A # label(absorption_003) # label(axiom). [assumption].
% 130.56/130.80 5 upme(a,x2,y2) = upme(a,x2,z2) # label(conjecture) # label(negated_conjecture). [assumption].
% 130.56/130.80 6 upme(a,x2,z2) = upme(a,x2,y2). [copy(5),flip(a)].
% 130.56/130.80 7 upme(A,B,C) = meet(A,join(B,C)) # label(definition_of_upme) # label(axiom). [assumption].
% 130.56/130.80 9 meet(A,meet(B,C)) = meet(meet(A,B),C) # label(associativity) # label(axiom). [assumption].
% 130.56/130.80 10 meet(A,meet(B,C)) = meet(C,meet(A,B)). [copy(9),rewrite([1(4)])].
% 130.56/130.80 11 join(A,join(B,C)) = join(join(A,B),C) # label(associativity_002) # label(axiom). [assumption].
% 130.56/130.81 12 join(A,join(B,C)) = join(C,join(A,B)). [copy(11),rewrite([2(4)])].
% 130.56/130.81 13 lome(A,B,C) = join(meet(A,B),meet(A,C)) # label(definition_of_lome) # label(axiom). [assumption].
% 130.56/130.81 15 lome(A,B,C) = upme(A,upme(B,A,C),upme(C,A,B)) # label(rl1) # label(axiom). [assumption].
% 130.56/130.81 16 meet(A,join(meet(B,join(A,C)),meet(C,join(A,B)))) = join(meet(A,B),meet(A,C)). [copy(15),rewrite([13(1),7(4),7(6),7(8)]),flip(a)].
% 130.56/130.81 17 upme(A,B,C) = join(upme(A,B,meet(a,C)),upme(A,C,meet(a,B))) # label(rh2) # label(axiom). [assumption].
% 130.56/130.81 18 join(meet(A,join(B,meet(C,a))),meet(A,join(C,meet(B,a)))) = meet(A,join(B,C)). [copy(17),rewrite([7(1),1(4),7(5),1(8),7(9)]),flip(a)].
% 130.56/130.81 19 join(upme(meet(a,A),B,C),meet(B,C)) = meet(join(meet(meet(a,A),B),C),join(meet(meet(a,A),C),B)) # label(rh1) # label(axiom). [assumption].
% 130.56/130.81 20 meet(join(A,meet(B,meet(C,a))),join(C,meet(A,meet(B,a)))) = join(meet(A,C),meet(meet(B,a),join(A,C))). [copy(19),rewrite([1(2),7(3),2(6),1(8),1(9),10(9,R),1(8),2(10),1(12),1(13),10(13,R),1(12),2(14),1(15)]),flip(a),rewrite([10(7,R),1(6)])].
% 130.56/130.81 21 upme(x2,y2,z2) != lome(x2,y2,z2) # label(conjecture_1) # label(negated_conjecture) # answer(conjecture_1). [assumption].
% 130.56/130.81 22 join(meet(x2,y2),meet(x2,z2)) != meet(x2,join(y2,z2)) # answer(conjecture_1). [copy(21),rewrite([7(4),13(9)]),flip(a)].
% 130.56/130.81 23 meet(a,join(x2,z2)) = meet(a,join(x2,y2)). [back_rewrite(6),rewrite([7(4),7(9)])].
% 130.56/130.81 24 join(A,A) = A. [para(4(a,1),3(a,1,2))].
% 130.56/130.81 25 meet(A,A) = A. [para(3(a,1),4(a,1,2))].
% 130.56/130.81 26 meet(A,meet(B,join(A,C))) = meet(A,B). [para(4(a,1),10(a,2,2)),rewrite([1(2),1(4)])].
% 130.56/130.81 27 join(A,join(B,meet(A,C))) = join(A,B). [para(3(a,1),12(a,2,2)),rewrite([2(2),2(4)])].
% 130.56/130.81 28 meet(A,join(meet(B,join(A,C)),meet(C,join(B,A)))) = join(meet(B,A),meet(A,C)). [para(16(a,1),1(a,2)),rewrite([2(3),1(6),1(7)])].
% 130.56/130.81 30 meet(A,meet(B,join(meet(C,join(A,D)),meet(D,join(A,C))))) = meet(B,join(meet(A,C),meet(A,D))). [para(16(a,1),10(a,2,2)),rewrite([1(6)])].
% 130.56/130.81 31 meet(meet(A,join(B,C)),join(join(meet(A,B),meet(B,C)),meet(meet(C,join(A,B)),join(B,meet(A,join(B,C)))))) = join(meet(A,B),meet(A,meet(C,join(B,C)))). [para(16(a,1),16(a,1,2,1)),rewrite([1(3),2(6),2(10),1(16),26(16),1(14),2(17),10(19),1(18),10(18,R),1(17),10(19,R),26(19)])].
% 130.56/130.81 34 join(meet(A,join(B,meet(a,join(C,D)))),meet(A,join(join(C,D),meet(B,a)))) = meet(A,join(B,join(C,D))). [para(12(a,1),18(a,2,2)),rewrite([1(3),12(13),2(12),12(13,R),2(12)])].
% 130.56/130.81 37 join(meet(A,join(meet(B,join(A,C)),meet(C,meet(a,join(A,B))))),meet(A,join(meet(C,join(A,B)),meet(B,meet(a,join(A,C)))))) = join(meet(A,B),meet(A,C)). [para(16(a,1),18(a,2)),rewrite([1(6),10(6,R),1(5),1(14),10(14,R),1(13)])].
% 130.56/130.81 38 join(meet(A,join(meet(B,join(C,meet(D,a))),meet(B,meet(a,join(D,meet(C,a)))))),meet(A,join(meet(B,join(D,meet(C,a))),meet(B,meet(a,join(C,meet(D,a))))))) = meet(A,meet(B,join(C,D))). [para(18(a,1),18(a,2,2)),rewrite([1(10),10(10,R),1(9),1(22),10(22,R),1(21)])].
% 130.56/130.81 40 join(meet(A,B),meet(meet(C,a),join(A,B))) = join(meet(A,B),meet(C,meet(a,join(A,B)))). [para(1(a,1),20(a,2,2)),rewrite([20(9),10(11),1(10),10(11,R),1(10)])].
% 130.56/130.81 41 meet(join(A,meet(B,meet(C,a))),join(C,meet(B,meet(A,a)))) = join(meet(A,C),meet(B,meet(a,join(A,C)))). [para(2(a,1),20(a,1,1)),rewrite([2(4),10(7,R),1(6),1(9),1(10),2(13),40(15)])].
% 130.56/130.81 42 join(A,join(meet(B,meet(C,a)),meet(B,meet(a,join(A,C))))) = join(A,meet(B,meet(C,a))). [para(20(a,1),3(a,1,2)),rewrite([40(10),12(11),2(10),12(10,R),27(10),12(9),2(8),12(9,R),2(8)])].
% 130.56/130.81 43 meet(A,join(B,meet(A,meet(A,a)))) = join(meet(A,B),meet(A,a)). [para(3(a,1),20(a,1,1)),rewrite([40(11),26(10)])].
% 130.56/130.81 45 meet(join(A,meet(B,meet(a,join(A,C)))),join(join(A,C),meet(A,meet(B,a)))) = join(A,meet(meet(B,a),join(A,join(A,C)))). [para(4(a,1),20(a,2,1)),rewrite([1(3)])].
% 130.56/130.81 46 meet(join(A,meet(B,a)),join(meet(B,a),meet(B,meet(A,a)))) = join(meet(B,a),meet(B,meet(A,a))). [para(4(a,1),20(a,2,2)),rewrite([25(11),1(10),1(13),10(13,R),1(12),2(16)])].
% 130.56/130.81 47 meet(join(A,meet(B,meet(C,meet(D,a)))),join(meet(C,D),meet(A,meet(B,a)))) = join(meet(A,meet(C,D)),meet(B,meet(a,join(A,meet(C,D))))). [para(10(a,1),20(a,2,1)),rewrite([1(3),10(3),1(2),10(3,R),1(2),10(13),1(12),10(13,R),1(12),40(19)])].
% 130.56/130.81 48 meet(join(A,meet(B,meet(a,join(C,D)))),join(join(C,D),meet(A,meet(B,a)))) = join(meet(A,join(C,D)),meet(B,meet(a,join(A,join(C,D))))). [para(12(a,1),20(a,2,2,2)),rewrite([1(3),12(17),2(16),12(17,R),2(16),40(19)])].
% 130.56/130.81 50 meet(join(A,meet(B,meet(C,a))),join(meet(D,join(A,join(C,meet(B,meet(C,a))))),meet(join(C,meet(A,meet(B,a))),join(A,join(D,meet(B,meet(C,a))))))) = join(join(meet(A,C),meet(B,meet(a,join(A,C)))),meet(D,join(A,meet(B,meet(C,a))))). [para(20(a,1),16(a,2,1)),rewrite([2(13),12(13,R),2(12),12(23),2(22),12(22,R),2(21),12(23,R),27(23),2(21),40(28),1(33)])].
% 130.56/130.81 51 join(join(meet(A,B),meet(C,meet(a,join(A,B)))),meet(D,join(A,meet(C,meet(B,a))))) = join(meet(A,B),join(meet(C,meet(a,join(A,B))),meet(D,join(A,meet(C,meet(B,a)))))). [para(20(a,1),16(a,2,2)),rewrite([12(13),2(12),12(12,R),2(11),12(13,R),27(13),2(19),12(19,R),2(18),50(22),1(17),40(23),12(24),2(23),12(24,R),2(23)])].
% 130.56/130.81 58 meet(join(A,meet(B,meet(C,a))),join(C,meet(A,meet(B,a)))) = join(meet(A,C),meet(B,meet(a,join(A,C)))). [back_rewrite(20),rewrite([40(15)])].
% 130.56/130.81 59 join(A,meet(meet(B,a),join(A,join(A,C)))) = join(A,meet(B,meet(a,join(A,join(A,C))))). [back_rewrite(45),rewrite([48(11),4(2)]),flip(a)].
% 130.56/130.81 60 meet(join(A,meet(B,meet(C,a))),join(meet(D,join(A,join(C,meet(B,meet(C,a))))),meet(join(C,meet(A,meet(B,a))),join(A,join(D,meet(B,meet(C,a))))))) = join(meet(A,C),join(meet(B,meet(a,join(A,C))),meet(D,join(A,meet(B,meet(C,a)))))). [back_rewrite(50),rewrite([51(34)])].
% 130.56/130.81 63 join(A,join(A,B)) = join(A,B). [para(24(a,1),12(a,1)),rewrite([2(3),12(4,R),2(3),12(3,R),24(2)]),flip(a)].
% 130.56/130.81 64 join(meet(A,B),meet(A,meet(B,a))) = meet(A,B). [para(24(a,1),18(a,1,1,2)),rewrite([1(7),10(7,R),25(6),3(6),2(5),2(8),3(8)])].
% 130.56/130.81 65 join(A,meet(meet(B,a),join(A,C))) = join(A,meet(B,meet(a,join(A,C)))). [back_rewrite(59),rewrite([63(4),63(8)])].
% 130.56/130.81 66 meet(A,meet(A,B)) = meet(A,B). [para(25(a,1),10(a,1)),rewrite([1(3),10(4,R),1(3),10(3,R),25(2)]),flip(a)].
% 130.56/130.81 68 join(meet(A,join(B,a)),meet(A,join(a,meet(B,a)))) = meet(A,join(B,a)). [para(25(a,1),18(a,1,1,2,2))].
% 130.56/130.81 69 meet(join(A,B),join(A,meet(B,a))) = join(A,meet(B,a)). [para(25(a,1),18(a,1,1)),rewrite([3(11),1(8)]),flip(a)].
% 130.56/130.81 73 join(meet(A,B),meet(A,a)) = meet(A,join(B,meet(A,a))). [back_rewrite(43),rewrite([66(3)]),flip(a)].
% 130.56/130.81 79 meet(A,join(meet(A,B),meet(A,C))) = join(meet(A,B),meet(A,C)). [para(16(a,1),66(a,1,2)),rewrite([16(10)])].
% 130.56/130.81 83 join(A,join(B,join(C,meet(A,D)))) = join(A,join(B,C)). [para(27(a,1),12(a,2,2)),rewrite([2(3),12(3,R),2(2),12(6),2(5),12(6,R),2(5)])].
% 130.56/130.81 84 meet(A,join(meet(B,join(A,C)),meet(join(C,meet(A,D)),join(A,B)))) = join(meet(A,B),meet(A,join(C,meet(A,D)))). [para(27(a,1),16(a,1,2,1,2))].
% 130.56/130.81 86 join(meet(A,join(B,meet(C,a))),join(meet(A,join(C,meet(B,a))),meet(A,meet(D,join(B,meet(C,a)))))) = meet(A,join(B,C)). [para(18(a,1),27(a,2)),rewrite([1(13),10(13,R),1(12)])].
% 130.56/130.81 95 meet(join(A,B),join(B,meet(A,a))) = join(B,meet(A,a)). [para(2(a,1),69(a,1,1))].
% 130.56/130.81 97 meet(join(A,join(B,C)),join(C,meet(a,join(A,B)))) = join(C,meet(a,join(A,B))). [para(12(a,2),69(a,1,1)),rewrite([1(5),1(10)])].
% 130.56/130.81 109 join(meet(A,B),meet(B,a)) = meet(B,join(A,meet(B,a))). [para(1(a,1),73(a,1,1))].
% 130.56/130.81 110 join(meet(A,a),meet(A,B)) = meet(A,join(B,meet(A,a))). [para(73(a,1),2(a,1)),flip(a)].
% 130.56/130.81 111 meet(A,meet(meet(A,B),join(B,meet(A,a)))) = meet(A,B). [para(73(a,1),4(a,1,2)),rewrite([10(6,R),1(5)])].
% 130.56/130.81 112 meet(A,join(join(A,B),meet(A,a))) = A. [para(4(a,1),73(a,1,1)),rewrite([3(3)]),flip(a)].
% 130.56/130.81 113 join(meet(A,a),meet(B,meet(A,C))) = meet(A,join(meet(B,C),meet(A,a))). [para(10(a,1),73(a,1,1)),rewrite([2(5),1(6)])].
% 130.56/130.81 119 join(a,meet(A,a)) = meet(a,join(A,a)). [para(25(a,1),73(a,1,2)),rewrite([1(2),2(4),25(8)])].
% 130.56/130.81 123 join(meet(A,B),meet(A,join(meet(B,C),meet(A,a)))) = meet(A,join(B,meet(A,a))). [para(73(a,1),27(a,2)),rewrite([1(5),10(5),1(4),10(5,R),1(4),110(6)])].
% 130.56/130.81 127 meet(A,meet(join(B,meet(A,a)),join(meet(B,a),meet(A,a)))) = meet(A,join(meet(B,a),meet(A,a))). [back_rewrite(46),rewrite([10(8,R),1(7),113(9),10(10,R),1(9),10(15,R),1(14),113(16)])].
% 130.56/130.81 128 join(meet(A,join(B,a)),meet(A,meet(a,join(B,a)))) = meet(A,join(B,a)). [back_rewrite(68),rewrite([119(7)])].
% 130.56/130.81 130 meet(join(A,B),join(A,meet(C,join(A,B)))) = join(A,meet(C,join(A,B))). [para(4(a,1),28(a,2,1)),rewrite([2(3),12(3),2(2),12(3,R),2(2),4(4),63(3),1(7)])].
% 130.56/130.81 131 meet(meet(A,B),join(meet(C,join(D,meet(A,B))),meet(D,join(C,meet(A,B))))) = join(meet(A,meet(B,C)),meet(A,meet(B,D))). [para(10(a,1),28(a,2,1)),rewrite([2(3),1(10),10(11,R),1(10),1(13),10(13),1(12),10(13,R),1(12)])].
% 130.56/130.81 132 meet(join(A,B),join(meet(C,join(A,join(B,D))),meet(D,join(A,join(B,C))))) = join(meet(C,join(A,B)),meet(D,join(A,B))). [para(12(a,1),28(a,1,2,2,2)),rewrite([2(3),12(3),2(2),12(3,R),2(2),2(5),12(6,R),2(5),1(13)])].
% 130.56/130.81 133 meet(meet(A,join(B,C)),join(join(meet(B,C),meet(A,B)),meet(meet(C,join(A,B)),join(B,meet(A,join(B,C)))))) = join(meet(A,B),meet(A,meet(C,join(B,C)))). [para(16(a,1),28(a,1,2,2)),rewrite([2(3),2(7),1(10),2(12),2(14),1(18),10(18),1(17),10(17,R),1(16),10(18,R),26(18),1(19),26(19),1(17),2(18)])].
% 130.56/130.81 134 meet(join(meet(A,join(B,C)),meet(C,join(A,B))),join(meet(B,join(D,join(meet(A,join(B,C)),meet(C,join(A,B))))),meet(D,join(B,join(meet(A,join(B,C)),meet(C,join(A,B))))))) = join(join(meet(A,B),meet(B,C)),meet(D,join(meet(A,join(B,C)),meet(C,join(A,B))))). [para(16(a,1),28(a,2,1)),rewrite([2(3),2(8),2(11),2(15),1(22),2(27),1(30)])].
% 130.56/130.81 137 meet(join(A,meet(B,C)),join(meet(D,join(A,B)),meet(B,join(A,join(D,meet(B,C)))))) = join(meet(B,join(A,meet(B,C))),meet(D,join(A,meet(B,C)))). [para(27(a,1),28(a,1,2,2,2)),rewrite([2(5),12(5,R),2(4),2(7),2(9),1(16)])].
% 130.56/130.81 141 join(meet(A,meet(B,a)),meet(meet(A,a),join(A,B))) = meet(meet(A,a),join(B,meet(A,a))). [para(69(a,1),28(a,1,2,2)),rewrite([2(5),12(6),2(5),3(5),2(3),12(8),2(7),3(7),2(5),10(9,R),1(8),2(12)]),flip(a)].
% 130.56/130.81 149 meet(a,join(A,a)) = a. [para(25(a,1),112(a,1,2,2)),rewrite([2(3),2(5),12(5,R),24(4)])].
% 130.56/130.81 153 meet(A,join(join(B,a),meet(A,a))) = meet(A,join(B,a)). [back_rewrite(128),rewrite([149(7),2(6),110(6)])].
% 130.56/130.81 154 join(a,meet(A,a)) = a. [back_rewrite(119),rewrite([149(8)])].
% 130.56/130.81 162 join(A,meet(B,join(meet(A,C),meet(A,D)))) = A. [para(30(a,1),3(a,1,2))].
% 130.56/130.81 166 meet(A,meet(B,meet(C,join(meet(D,join(A,E)),meet(E,join(A,D)))))) = meet(B,meet(C,join(meet(A,D),meet(A,E)))). [para(30(a,1),10(a,2,2)),rewrite([1(7),10(7,R),1(6),10(13,R),1(12)])].
% 130.56/130.81 168 meet(A,meet(B,join(meet(A,C),meet(A,D)))) = meet(B,join(meet(A,C),meet(A,D))). [para(30(a,1),66(a,1,2)),rewrite([30(12)])].
% 130.56/130.81 185 join(A,meet(B,meet(a,join(meet(A,C),meet(A,D))))) = A. [para(162(a,1),69(a,1,1)),rewrite([1(6),10(6,R),1(5),4(8),1(6),10(6,R),1(5)]),flip(a)].
% 130.56/130.81 205 join(meet(A,B),join(meet(A,join(B,C)),meet(A,meet(C,join(B,C))))) = meet(A,join(B,C)). [para(31(a,1),3(a,1,2)),rewrite([12(8,R),2(7)])].
% 130.56/130.81 276 join(A,join(B,join(C,join(D,meet(A,E))))) = join(A,join(B,join(C,D))). [para(83(a,1),12(a,2,2)),rewrite([2(4),12(4,R),2(3),12(3,R),2(2),12(8,R),2(7),12(7),2(6),12(7,R),2(6)])].
% 130.56/130.81 288 meet(join(A,join(B,C)),join(join(A,B),meet(C,a))) = join(join(A,B),meet(C,a)). [para(12(a,2),95(a,1,1))].
% 130.56/130.81 293 join(join(A,B),meet(A,a)) = join(A,B). [para(63(a,1),95(a,1,1)),rewrite([4(6)]),flip(a)].
% 130.56/130.81 304 join(join(A,B),meet(B,a)) = join(A,B). [para(2(a,1),293(a,1,1)),rewrite([2(5)])].
% 130.56/130.81 315 join(join(A,B),meet(a,join(A,B))) = join(A,B). [para(293(a,1),293(a,1,1)),rewrite([1(4),293(9)])].
% 130.56/130.81 324 join(join(A,B),meet(a,join(B,meet(A,C)))) = join(A,B). [para(27(a,1),304(a,1,1)),rewrite([1(5),27(9)])].
% 130.56/130.81 333 meet(join(A,B),join(A,join(B,C))) = join(A,B). [para(4(a,1),34(a,1,2)),rewrite([2(8),3(8),12(4),2(3),12(4,R),2(3)]),flip(a)].
% 130.56/130.81 336 meet(A,join(join(A,B),meet(B,join(A,a)))) = A. [para(16(a,1),34(a,1,1)),rewrite([73(4),1(10),10(10,R),1(9),149(9),304(8),4(6),2(5),3(5),2(5)]),flip(a)].
% 130.56/130.81 360 join(join(x2,z2),meet(a,join(x2,y2))) = join(x2,z2). [para(23(a,1),315(a,1,2))].
% 130.56/130.81 371 meet(meet(A,B),join(C,meet(A,B))) = meet(A,B). [para(64(a,1),333(a,1,1)),rewrite([2(6),12(7,R),2(6),64(6),64(9)])].
% 130.56/130.81 378 join(join(A,B),meet(C,join(A,B))) = join(A,B). [para(333(a,1),31(a,1,2,1,1)),rewrite([2(4),12(4,R),2(3),12(3),2(2),12(3,R),2(2),333(5),1(5),12(10,R),12(9),2(8),12(9,R),2(8),63(8),63(9),2(15),12(15,R),2(14),12(14),2(13),12(14,R),2(13),333(16),2(13),12(13,R),12(12),2(11),12(12,R),2(11),63(11),63(12),1(12),10(12,R),25(11),2(10),12(10,R),24(9),4(7),333(5),2(6),12(6,R),2(5),12(5),2(4),12(5,R),2(4),10(8,R),1(7),333(7)]),flip(a)].
% 130.56/130.81 394 join(meet(A,meet(B,a)),meet(meet(A,a),join(A,B))) = meet(A,a). [back_rewrite(141),rewrite([371(14)])].
% 130.56/130.81 428 meet(join(x2,z2),join(A,join(x2,z2))) = join(x2,z2). [para(360(a,1),333(a,1,1)),rewrite([2(12),12(13,R),2(12),360(12),360(17)])].
% 130.56/130.81 444 join(meet(x2,join(meet(A,join(x2,z2)),meet(a,meet(z2,join(A,x2))))),meet(x2,join(meet(z2,join(A,x2)),meet(A,meet(a,join(x2,y2)))))) = join(meet(x2,z2),meet(A,x2)). [para(23(a,1),37(a,1,1,2,2,2)),rewrite([2(4),2(22),10(24,R),1(23),2(27),1(32)])].
% 130.56/130.81 493 meet(meet(A,a),join(A,B)) = meet(A,a). [para(371(a,1),18(a,1,1)),rewrite([3(9),2(5)]),flip(a)].
% 130.56/130.81 494 meet(meet(A,B),meet(join(C,meet(A,B)),join(D,meet(A,B)))) = meet(A,B). [para(371(a,1),26(a,2)),rewrite([2(5)])].
% 130.56/130.81 497 join(meet(A,B),meet(A,meet(B,C))) = meet(A,B). [para(371(a,1),28(a,1,2,2)),rewrite([24(4),10(3),1(2),10(3,R),1(2),2(5),4(6),10(3),1(2),10(3,R),1(2),25(6),2(5)]),flip(a)].
% 130.56/130.81 509 meet(A,join(meet(B,a),meet(A,a))) = meet(A,a). [back_rewrite(394),rewrite([493(7),2(6),110(6)])].
% 130.56/130.81 523 meet(A,meet(join(B,meet(A,a)),join(meet(B,a),meet(A,a)))) = meet(A,a). [back_rewrite(127),rewrite([509(16)])].
% 130.56/130.81 538 join(meet(A,join(B,C)),meet(A,meet(D,join(B,C)))) = meet(A,join(B,C)). [para(18(a,1),378(a,1,1)),rewrite([18(11),10(5,R),1(4),18(15)])].
% 130.56/130.81 540 join(join(A,B),meet(C,meet(a,join(A,B)))) = join(A,B). [para(378(a,1),69(a,1,1)),rewrite([1(6),10(6,R),1(5),4(8),1(6),10(6,R),1(5)]),flip(a)].
% 130.56/130.81 549 join(meet(A,B),meet(A,join(B,C))) = meet(A,join(B,C)). [back_rewrite(205),rewrite([538(7)])].
% 130.56/130.81 571 join(meet(A,meet(B,a)),meet(A,meet(B,join(C,a)))) = meet(A,meet(B,join(C,a))). [para(4(a,1),38(a,1,1,2,2,2)),rewrite([25(3),2(6),110(6),153(6),154(8),25(10),149(10),24(9),2(8)])].
% 130.56/130.81 619 join(meet(A,B),meet(B,join(meet(A,C),meet(A,D)))) = meet(A,B). [para(30(a,1),497(a,1,2))].
% 130.56/130.81 632 meet(A,meet(B,join(meet(C,a),meet(A,a)))) = meet(A,meet(B,a)). [para(509(a,1),10(a,2,2)),rewrite([1(6),10(10,R),1(9)])].
% 130.56/130.81 639 meet(A,meet(a,join(B,meet(A,a)))) = meet(A,a). [back_rewrite(523),rewrite([632(10),1(5)])].
% 130.56/130.81 708 join(meet(A,meet(B,C)),meet(A,meet(B,a))) = meet(meet(A,B),join(C,meet(A,meet(B,a)))). [para(10(a,2),109(a,1,1)),rewrite([1(5),10(5),1(4),10(5,R),1(4),1(10),10(10),1(9),10(10,R),1(9)])].
% 130.56/130.81 709 join(A,join(meet(B,a),meet(C,B))) = join(A,meet(B,join(C,meet(B,a)))). [para(109(a,1),12(a,2,2)),rewrite([2(4),12(5,R)])].
% 130.56/130.81 710 meet(meet(A,B),join(meet(B,meet(C,join(A,meet(B,a)))),meet(meet(B,a),join(C,meet(A,B))))) = meet(meet(A,B),join(C,meet(A,meet(B,a)))). [para(109(a,1),16(a,1,2,1,2)),rewrite([10(6,R),1(5),2(10),1(15),10(15),1(14),10(15,R),1(14),10(19),1(18),10(18,R),25(17),10(18),1(17),10(18,R),1(17),708(19)])].
% 130.56/130.81 711 join(meet(A,meet(B,a)),meet(A,meet(B,C))) = meet(meet(A,B),join(C,meet(A,meet(B,a)))). [para(109(a,1),16(a,1,2,2,2)),rewrite([2(5),10(11,R),1(10),2(12),710(13),10(10),1(9),10(9,R),25(8),10(9),1(8),10(9,R),1(8),1(11),10(11),1(10),10(11,R),1(10)]),flip(a)].
% 130.56/130.81 743 meet(meet(A,B),join(join(C,a),meet(A,meet(B,a)))) = meet(A,meet(B,join(C,a))). [back_rewrite(571),rewrite([711(8)])].
% 130.56/130.81 755 meet(meet(A,B),join(B,meet(A,a))) = meet(A,B). [para(111(a,1),10(a,1)),rewrite([66(6),1(6)]),flip(a)].
% 130.56/130.81 771 meet(join(A,meet(B,a)),join(a,meet(A,meet(B,a)))) = join(meet(A,a),meet(B,a)). [para(25(a,1),41(a,1,1,2,2)),rewrite([10(7,R),1(6),149(15)])].
% 130.56/130.81 783 meet(a,join(join(A,a),meet(B,a))) = a. [para(149(a,1),41(a,2,1)),rewrite([1(5),149(5),154(4),25(6),12(13,R),24(12),149(12),154(11)])].
% 130.56/130.81 840 meet(a,join(A,join(B,a))) = a. [para(783(a,1),18(a,1,1)),rewrite([1(6),149(6),149(5),24(3),2(5)]),flip(a)].
% 130.56/130.81 867 join(a,meet(meet(A,a),join(B,join(C,a)))) = a. [para(840(a,1),40(a,1,1)),rewrite([12(8,R),2(7),12(7,R),24(6),840(13),12(15,R),2(14),12(14,R),24(13),840(14),154(12)])].
% 130.56/130.81 868 meet(a,join(join(A,join(B,a)),meet(C,a))) = a. [para(840(a,1),41(a,2,1)),rewrite([1(6),840(6),154(4),25(7),12(15,R),2(14),12(14,R),24(13),840(14),154(12)])].
% 130.56/130.81 869 meet(join(A,meet(B,a)),join(join(C,a),meet(A,meet(B,a)))) = join(meet(A,join(C,a)),meet(B,a)). [para(840(a,1),41(a,2,2,2)),rewrite([1(4),149(4),10(8,R),1(7)])].
% 130.56/130.81 870 meet(meet(A,B),join(A,meet(B,a))) = meet(A,B). [para(755(a,1),1(a,2)),rewrite([1(4),1(5),1(6)])].
% 130.56/130.81 875 meet(meet(A,B),join(A,B)) = meet(A,B). [para(755(a,1),18(a,1,1)),rewrite([870(6),24(3),2(3)]),flip(a)].
% 130.56/130.81 929 join(a,meet(A,meet(B,a))) = a. [para(4(a,1),42(a,1,2,2,2)),rewrite([2(7),110(7),509(7),154(4)]),flip(a)].
% 130.56/130.81 938 join(A,join(meet(B,a),meet(a,join(A,B)))) = join(A,meet(B,a)). [para(66(a,1),42(a,1,2,2)),rewrite([10(4,R),25(3),10(11,R),25(10)])].
% 130.56/130.81 956 join(join(A,a),meet(A,meet(B,a))) = join(join(A,a),meet(B,a)). [para(336(a,1),42(a,1,2,2,2)),rewrite([2(2),24(5),1(6),10(6,R),25(5),10(5,R),1(4),2(8),113(8),509(8),2(7),24(10),1(11),10(11,R),25(10),10(10,R),1(9)]),flip(a)].
% 130.56/130.81 966 join(join(A,a),meet(B,meet(C,a))) = join(join(A,a),meet(B,a)). [para(783(a,1),42(a,1,2,2,2)),rewrite([1(6),10(6,R),25(5),2(8),110(8),509(8),1(11),10(11,R),25(10)]),flip(a)].
% 130.56/130.81 969 join(meet(A,a),meet(B,a)) = meet(a,join(A,meet(B,a))). [back_rewrite(771),rewrite([929(8),1(5)]),flip(a)].
% 130.56/130.81 973 join(join(A,a),meet(B,a)) = join(A,a). [back_rewrite(956),rewrite([966(6),2(5),12(5),2(4),3(4),2(2)]),flip(a)].
% 130.56/130.81 974 join(meet(A,join(B,a)),meet(C,a)) = meet(join(A,meet(C,a)),join(B,a)). [back_rewrite(869),rewrite([966(9),973(8)]),flip(a)].
% 130.56/130.81 976 meet(meet(A,B),join(C,a)) = meet(A,meet(B,join(C,a))). [back_rewrite(743),rewrite([966(7),973(6)])].
% 130.56/130.81 1131 meet(meet(meet(A,a),join(B,join(C,a))),join(meet(D,a),meet(a,join(D,meet(meet(A,a),join(B,join(C,a))))))) = join(meet(a,meet(meet(A,a),join(B,join(C,a)))),meet(D,meet(meet(A,a),join(B,join(C,a))))). [para(867(a,1),28(a,1,2,2,2)),rewrite([2(14),2(18),1(34)])].
% 130.56/130.81 1133 meet(meet(a,join(A,meet(meet(B,a),join(C,join(D,a))))),join(join(meet(a,meet(meet(B,a),join(C,join(D,a)))),meet(A,meet(meet(B,a),join(C,join(D,a))))),meet(meet(A,a),join(meet(meet(B,a),join(C,join(D,a))),meet(a,join(A,meet(meet(B,a),join(C,join(D,a))))))))) = join(meet(a,meet(meet(B,a),join(C,join(D,a)))),meet(A,a)). [para(867(a,1),31(a,1,2,2,1,2)),rewrite([2(8),1(24),2(41),2(62),4(63),1(56)])].
% 130.56/130.81 1134 meet(a,meet(meet(A,a),join(B,join(C,a)))) = meet(meet(A,a),join(B,join(C,a))). [para(867(a,1),371(a,1,2)),rewrite([1(8)])].
% 130.56/130.81 1138 meet(meet(a,join(A,meet(meet(B,a),join(C,join(D,a))))),join(join(meet(meet(B,a),join(C,join(D,a))),meet(A,meet(meet(B,a),join(C,join(D,a))))),meet(meet(A,a),join(meet(meet(B,a),join(C,join(D,a))),meet(a,join(A,meet(meet(B,a),join(C,join(D,a))))))))) = join(meet(meet(B,a),join(C,join(D,a))),meet(A,a)). [back_rewrite(1133),rewrite([1134(17),1134(52)])].
% 130.56/130.81 1140 meet(meet(meet(A,a),join(B,join(C,a))),join(meet(D,a),meet(a,join(D,meet(meet(A,a),join(B,join(C,a))))))) = join(meet(meet(A,a),join(B,join(C,a))),meet(D,meet(meet(A,a),join(B,join(C,a))))). [back_rewrite(1131),rewrite([1134(27)])].
% 130.56/130.81 1142 meet(a,join(A,join(B,join(C,a)))) = a. [para(868(a,1),18(a,1,1)),rewrite([1(7),840(7),149(5),24(3),2(6)]),flip(a)].
% 130.56/130.81 1153 meet(meet(a,join(A,meet(B,a))),join(join(C,join(D,a)),meet(B,meet(A,a)))) = meet(a,join(A,meet(B,a))). [para(868(a,1),41(a,2,2,2)),rewrite([1(7),10(7,R),25(6),1(14),840(14),969(12),1(13),10(19),1(18),10(19,R),1(18),840(18),969(18)])].
% 130.56/130.81 1154 join(join(A,join(B,a)),meet(C,meet(D,a))) = join(join(A,join(B,a)),meet(C,a)). [para(868(a,1),42(a,1,2,2,2)),rewrite([1(7),10(7,R),25(6),2(9),110(9),969(8),639(9),1(13),10(13,R),25(12)]),flip(a)].
% 130.56/130.81 1160 meet(meet(a,join(A,meet(B,a))),join(join(C,join(D,a)),meet(A,a))) = meet(a,join(A,meet(B,a))). [back_rewrite(1153),rewrite([10(11,R),1(10),1154(12)])].
% 130.56/130.81 1184 meet(join(A,meet(a,join(B,C))),join(join(B,C),meet(A,a))) = join(meet(A,join(B,C)),meet(a,join(A,join(B,C)))). [para(25(a,1),48(a,1,2,2,2)),rewrite([66(5),66(17)])].
% 130.56/130.81 1213 join(meet(A,join(join(B,join(C,a)),meet(D,a))),meet(E,meet(a,join(A,join(join(B,join(C,a)),meet(D,a)))))) = meet(join(A,meet(E,a)),join(join(join(B,join(C,a)),meet(D,a)),meet(A,meet(E,a)))). [para(868(a,1),48(a,1,1,2,2)),flip(a)].
% 130.56/130.81 1556 join(join(x2,z2),meet(A,meet(a,join(x2,y2)))) = join(x2,z2). [para(428(a,1),185(a,1,2,2,2,1)),rewrite([1(11),378(12),23(8)])].
% 130.56/130.81 1727 join(join(A,B),meet(a,join(A,meet(B,C)))) = join(A,B). [para(324(a,1),2(a,2)),rewrite([2(5),2(6),2(7)])].
% 130.56/130.81 1792 join(join(A,join(B,a)),meet(C,a)) = join(A,join(B,a)). [para(840(a,1),540(a,1,2,2))].
% 130.56/130.81 1801 join(meet(A,join(B,join(C,a))),meet(D,a)) = meet(join(A,meet(D,a)),join(B,join(C,a))). [back_rewrite(1213),rewrite([1792(6),1792(11),1142(10),1792(16),1154(17),1792(16)])].
% 130.56/130.81 1802 meet(meet(a,join(A,meet(B,a))),join(C,join(D,a))) = meet(a,join(A,meet(B,a))). [back_rewrite(1160),rewrite([1792(11)])].
% 130.56/130.81 1818 meet(meet(a,join(A,meet(meet(B,a),join(C,join(D,a))))),join(join(meet(meet(B,a),join(C,join(D,a))),meet(A,meet(meet(B,a),join(C,join(D,a))))),meet(meet(A,a),join(meet(meet(B,a),join(C,join(D,a))),meet(a,join(A,meet(meet(B,a),join(C,join(D,a))))))))) = meet(a,join(B,meet(A,a))). [back_rewrite(1138),rewrite([1801(53),969(49),1802(53)])].
% 130.56/130.81 1866 join(meet(A,B),meet(B,join(A,C))) = meet(B,join(A,C)). [para(1(a,1),549(a,1,1))].
% 130.56/130.81 1868 join(meet(A,meet(B,C)),meet(C,join(D,meet(A,B)))) = meet(C,join(D,meet(A,B))). [para(10(a,2),549(a,1,1)),rewrite([2(4),2(8)])].
% 130.56/130.81 1891 meet(join(A,meet(B,C)),join(A,meet(B,join(C,D)))) = join(A,meet(B,C)). [para(549(a,1),333(a,1,2,2))].
% 130.56/130.81 1895 meet(meet(A,B),join(C,join(D,meet(A,B)))) = meet(A,B). [para(371(a,1),549(a,1,1)),rewrite([2(5),12(5,R),2(4),3(7),2(5),12(5,R),2(4)]),flip(a)].
% 130.56/130.81 1904 meet(meet(A,B),join(A,join(B,C))) = meet(A,B). [para(875(a,1),549(a,1,1)),rewrite([2(4),12(4),2(3),12(4,R),2(3),3(6),2(4),12(4),2(3),12(4,R),2(3)]),flip(a)].
% 130.56/130.81 1925 join(meet(A,meet(B,C)),meet(A,meet(B,join(C,D)))) = meet(A,meet(B,join(C,D))). [para(549(a,1),549(a,1,2,2)),rewrite([549(10)])].
% 130.56/130.81 1931 join(meet(meet(A,a),join(B,join(C,a))),meet(D,meet(meet(A,a),join(B,join(C,a))))) = meet(meet(A,a),join(B,join(C,a))). [back_rewrite(1140),rewrite([1866(18),10(16,R),1(15),371(15),1134(8)]),flip(a)].
% 130.56/130.81 1967 meet(meet(a,join(A,meet(meet(B,a),join(C,join(D,a))))),join(meet(meet(B,a),join(C,join(D,a))),meet(A,meet(a,join(meet(meet(B,a),join(C,join(D,a))),meet(a,join(A,meet(meet(B,a),join(C,join(D,a)))))))))) = meet(a,join(B,meet(A,a))). [back_rewrite(1818),rewrite([1931(23),65(35)])].
% 130.56/130.81 2013 meet(meet(A,B),join(A,C)) = meet(A,B). [para(66(a,1),1904(a,1,1)),rewrite([2(3),27(4),66(5)])].
% 130.56/130.81 2068 meet(meet(A,B),join(B,C)) = meet(A,B). [para(1(a,1),2013(a,1,1)),rewrite([1(4)])].
% 130.56/130.81 2077 meet(meet(A,meet(B,C)),join(meet(A,B),meet(A,D))) = meet(A,meet(B,C)). [para(2013(a,1),30(a,2)),rewrite([1(2),10(2),1(1),10(2,R),1(1),30(9),1(8),10(8),1(7),10(8,R),1(7)])].
% 130.56/130.81 2086 join(join(A,B),meet(A,C)) = join(A,B). [para(2013(a,1),378(a,1,2))].
% 130.56/130.81 2125 meet(join(A,B),join(A,meet(C,meet(a,join(A,B))))) = join(A,meet(C,meet(a,join(A,B)))). [para(4(a,1),58(a,2,1)),rewrite([1(3),2086(10),1(7),63(10)])].
% 130.56/130.81 2136 meet(meet(A,B),join(C,meet(B,join(A,D)))) = meet(A,B). [para(26(a,1),2068(a,1,1)),rewrite([2(4),26(8)])].
% 130.56/130.81 2146 meet(meet(A,join(B,join(C,meet(D,B)))),join(join(meet(D,B),meet(A,meet(D,B))),meet(meet(join(B,C),join(A,meet(D,B))),join(meet(D,B),meet(A,join(B,join(C,meet(D,B)))))))) = join(meet(A,meet(D,B)),meet(A,join(B,C))). [para(2068(a,1),31(a,1,2,1,2)),rewrite([12(3),2(2),12(3,R),2(2),2(8),12(16),2(15),12(16,R),2(15),12(27),2(26),12(27,R),2(26),333(28)])].
% 130.56/130.81 2183 join(join(A,B),meet(B,C)) = join(A,B). [para(2(a,1),2086(a,1,1)),rewrite([2(4)])].
% 130.56/130.81 2193 meet(meet(join(A,B),join(C,meet(A,D))),join(meet(A,D),meet(C,join(A,B)))) = join(meet(A,D),meet(C,join(A,B))). [para(2086(a,1),31(a,1,2,2,1,2)),rewrite([2(3),10(7),1(6),4(6),1(5),1(7),10(7),1(6),10(7,R),1(6),497(8),2(11),2136(14),10(12),1(11),4(11),1(10),2(13),4(14),1(12)])].
% 130.56/130.81 2201 join(meet(A,a),meet(B,join(A,C))) = meet(join(A,C),join(B,meet(A,a))). [para(2086(a,1),41(a,1,1)),rewrite([1(4),26(5),1(7),2(10),12(10),2(9),12(10,R),2(9),26(12),2(10)]),flip(a)].
% 130.56/130.81 2257 join(join(A,B),meet(C,join(B,meet(A,D)))) = join(A,B). [para(27(a,1),2183(a,1,1)),rewrite([1(4),27(8)])].
% 130.56/130.81 2433 join(meet(A,join(B,meet(C,a))),meet(A,meet(a,join(C,meet(B,a))))) = meet(A,join(B,meet(C,a))). [para(969(a,1),18(a,1,1,2)),rewrite([1(10),10(10,R),25(9),2(11),2(14)])].
% 130.56/130.81 2434 join(meet(A,meet(a,join(B,meet(C,a)))),meet(A,meet(a,join(C,meet(B,a))))) = meet(A,meet(a,join(B,meet(C,a)))). [para(969(a,1),18(a,2,2)),rewrite([1(6),10(6,R),25(5),969(5),1(12),10(12,R),25(11),969(11)])].
% 130.56/130.81 2450 join(meet(A,a),meet(a,join(B,A))) = meet(a,join(B,A)). [para(2183(a,1),969(a,2,2)),rewrite([1(3),2(6)])].
% 130.56/130.81 2469 join(meet(A,meet(B,join(C,meet(D,a)))),meet(A,meet(B,join(D,meet(C,a))))) = meet(A,meet(B,join(C,D))). [back_rewrite(38),rewrite([2433(11),2433(16)])].
% 130.56/130.81 2473 join(A,meet(a,join(A,B))) = join(A,meet(B,a)). [back_rewrite(938),rewrite([2450(6)])].
% 130.56/130.81 2475 meet(A,meet(a,join(B,meet(C,a)))) = meet(A,meet(a,join(B,C))). [back_rewrite(2434),rewrite([2469(13)]),flip(a)].
% 130.56/130.81 2556 join(x2,meet(a,z2)) = join(x2,meet(a,y2)). [para(23(a,1),2473(a,1,2)),rewrite([2473(7),1(4),1(9)]),flip(a)].
% 130.56/130.81 2565 meet(meet(a,join(A,B)),join(A,meet(B,a))) = meet(a,join(A,B)). [para(2473(a,1),95(a,1,1)),rewrite([2(9),1866(9),1(7),2(13),1866(13)])].
% 130.56/130.81 2608 meet(meet(a,z2),join(x2,meet(a,y2))) = meet(a,z2). [para(2556(a,1),371(a,1,2))].
% 130.56/130.81 2620 meet(meet(a,z2),meet(join(x2,meet(a,y2)),join(A,meet(a,z2)))) = join(meet(a,z2),meet(A,meet(a,z2))). [para(2608(a,1),16(a,2,1)),rewrite([2(12),12(22),2(21),2556(21),12(22,R),24(21),2(20),1866(20),1(21)])].
% 130.56/130.81 2621 join(meet(a,z2),meet(A,meet(a,z2))) = meet(a,z2). [para(2608(a,1),26(a,2)),rewrite([2(12),2620(14)])].
% 130.56/130.81 2633 join(meet(a,z2),meet(a,meet(x2,z2))) = meet(a,z2). [para(2608(a,1),549(a,1,2)),rewrite([1(5),10(5,R),1(4),2(9),2608(18)])].
% 130.56/130.81 2992 join(a,meet(A,meet(a,z2))) = a. [para(2621(a,1),162(a,1,2,2))].
% 130.56/130.81 3003 join(a,join(meet(A,meet(a,z2)),meet(B,a))) = a. [para(2992(a,1),27(a,2)),rewrite([1(7)])].
% 130.56/130.81 3472 join(A,meet(a,join(B,A))) = join(A,meet(B,a)). [para(95(a,1),86(a,2)),rewrite([1(5),10(5,R),25(4),95(5),969(9),2475(10),10(8,R),25(7),1(11),10(11,R),25(10),10(12,R),1(11),95(11),12(12,R),2(11),378(11),12(7),2(6),12(7,R),2(6),1866(6)])].
% 130.56/130.81 3536 meet(a,meet(meet(a,join(A,meet(B,a))),join(B,meet(meet(A,a),join(C,join(D,a)))))) = meet(a,join(A,meet(B,a))). [back_rewrite(1967),rewrite([3472(32),1801(25),969(21),1802(25),66(22),2475(21),2(17),26(19),1801(18),969(14),1802(18),1(15),10(15,R),1(14)])].
% 130.56/130.81 3798 join(a,join(meet(a,z2),meet(A,a))) = a. [para(25(a,1),3003(a,1,2,1))].
% 130.56/130.81 3826 join(a,meet(A,join(meet(a,z2),meet(B,a)))) = a. [para(3798(a,1),2183(a,1,1)),rewrite([1(8),3798(17)])].
% 130.56/130.81 4084 join(z2,meet(a,join(x2,y2))) = join(z2,meet(a,x2)). [para(23(a,1),3472(a,1,2)),rewrite([1(11)])].
% 130.56/130.81 4094 join(meet(a,z2),meet(a,join(x2,meet(a,y2)))) = join(meet(a,x2),meet(a,z2)). [para(2556(a,1),3472(a,1,2,2)),rewrite([1(17),2(18)])].
% 130.56/130.81 4204 join(meet(A,meet(B,a)),meet(B,meet(a,join(A,B)))) = meet(B,meet(a,join(A,B))). [para(113(a,1),47(a,1,2)),rewrite([25(3),66(3),969(8),2475(9),10(8),1(7),10(8,R),1(7),2565(7),2475(13)]),flip(a)].
% 130.56/130.81 4262 meet(A,join(meet(a,z2),meet(B,a))) = meet(A,meet(a,join(B,meet(a,z2)))). [para(3826(a,1),371(a,1,2)),rewrite([1(9),10(9,R),1(8),2475(9),2(5)]),flip(a)].
% 130.56/130.81 4611 meet(A,meet(B,join(a,meet(A,B)))) = meet(A,B). [para(976(a,1),4(a,1)),rewrite([2(3)])].
% 130.56/130.81 4711 meet(meet(A,a),join(B,join(C,a))) = meet(A,a). [para(867(a,1),4611(a,1,2,2)),rewrite([1(7),840(7),1(4),10(4,R),25(3)]),flip(a)].
% 130.56/130.81 4736 meet(a,join(A,meet(B,a))) = meet(a,join(A,B)). [back_rewrite(3536),rewrite([4711(12),1(10),10(10),1(9),2475(10),2(6),1(8),2565(8),66(5)]),flip(a)].
% 130.56/130.81 4924 join(meet(A,a),meet(B,a)) = meet(a,join(A,B)). [back_rewrite(969),rewrite([4736(10)])].
% 130.56/130.81 5112 meet(a,join(x2,meet(a,y2))) = meet(a,join(x2,y2)). [para(23(a,1),4736(a,2)),rewrite([1(5),2556(6)])].
% 130.56/130.81 5129 meet(a,meet(join(A,B),join(C,a))) = meet(a,join(A,B)). [para(4736(a,1),2013(a,1,1)),rewrite([2(5),976(6),4736(11)])].
% 130.56/130.81 5220 join(meet(a,z2),meet(a,join(x2,y2))) = join(meet(a,x2),meet(a,z2)). [back_rewrite(4094),rewrite([5112(10)])].
% 130.56/130.81 5277 join(meet(a,x2),meet(a,z2)) = meet(a,join(x2,y2)). [para(23(a,1),4924(a,2)),rewrite([1(3),1(6)])].
% 130.56/130.81 5293 meet(a,join(z2,meet(a,x2))) = meet(a,join(x2,y2)). [para(4084(a,1),4924(a,2,2)),rewrite([1(3),1(10),66(10),5220(9),5277(7)]),flip(a)].
% 130.56/130.81 5309 join(meet(a,y2),meet(a,join(x2,y2))) = meet(a,join(x2,y2)). [para(5112(a,1),18(a,2)),rewrite([1(7),66(7),5112(7),1(12),2(13),79(14),12(13),2(12),549(12)])].
% 130.56/130.81 5334 join(meet(a,x2),meet(a,y2)) = meet(a,join(x2,y2)). [para(5112(a,1),3472(a,1,2)),rewrite([5309(9),1(11),2(12)]),flip(a)].
% 130.56/130.81 5345 join(A,join(meet(B,meet(a,join(A,C))),meet(join(A,C),join(B,meet(A,a))))) = join(A,meet(B,join(A,C))). [para(130(a,1),18(a,2)),rewrite([1(5),10(5,R),1(4),2125(7),2(11),2201(11),66(12),2(11),12(11),2(10),12(11,R),2(10)])].
% 130.56/130.81 5429 meet(a,meet(z2,join(x2,y2))) = meet(a,z2). [para(5293(a,1),16(a,1,2,1)),rewrite([2(12),2013(13),2(10),549(10),10(7,R),1(6),1(10),10(15),1(14),10(15,R),1(14),2633(16)])].
% 130.56/130.81 5468 meet(meet(a,z2),join(x2,y2)) = meet(a,z2). [para(5429(a,1),10(a,1)),rewrite([1(10)]),flip(a)].
% 130.56/130.81 5478 meet(a,meet(z2,join(A,a))) = meet(a,z2). [para(5429(a,1),2013(a,1,1)),rewrite([2(5),976(6),5429(13)])].
% 130.56/130.81 5481 join(meet(a,z2),meet(A,a)) = meet(a,join(A,meet(a,z2))). [para(5429(a,1),79(a,1,2,1)),rewrite([1(6),4262(8),66(8),5429(13),1(11)]),flip(a)].
% 130.56/130.81 5515 join(x2,join(y2,meet(a,y2))) = join(x2,y2). [para(5468(a,1),378(a,1,2)),rewrite([2(7),12(7),2(6),2556(6),12(7,R),2(6)])].
% 130.56/130.81 5535 meet(A,meet(B,join(C,meet(A,B)))) = meet(A,B). [para(25(a,1),131(a,1,2,1)),rewrite([2(7),12(7,R),24(6),4(6),2(4),63(4),371(4),2(8),1925(8)]),flip(a)].
% 130.56/130.81 5634 meet(a,join(A,meet(a,z2))) = meet(a,join(A,z2)). [para(5478(a,1),41(a,2,1)),rewrite([1(7),5478(7),2992(6),25(8),974(8),5129(9),4736(6),2(3),4(15),5481(10)]),flip(a)].
% 130.56/130.81 6007 meet(a,meet(y2,join(x2,y2))) = meet(a,y2). [para(5334(a,1),5535(a,1,2,2)),rewrite([10(8,R),1(7),66(9)])].
% 130.56/130.81 6031 meet(a,meet(y2,join(A,a))) = meet(a,y2). [para(6007(a,1),2013(a,1,1)),rewrite([2(5),976(6),6007(13)])].
% 130.56/130.81 6034 join(meet(a,y2),meet(A,a)) = meet(a,join(A,meet(a,y2))). [para(6007(a,1),79(a,1,2,1)),rewrite([1(6),4736(8),2(5),6007(13),1(11)]),flip(a)].
% 130.56/130.81 6040 join(a,meet(A,meet(a,y2))) = a. [para(6007(a,1),113(a,1,2,2)),rewrite([25(3),25(16),2(15),4(16)])].
% 130.56/130.81 6111 join(join(A,B),meet(C,a)) = join(A,join(B,meet(C,a))). [para(34(a,1),133(a,1,2,1)),rewrite([2(13),12(13),2(12),12(12,R),2(11),378(11),12(8),2(7),12(8,R),2(7),12(9,R),2183(8),1(7),288(7),12(10),2(9),12(10,R),2(9),1(11),288(11),24(21),1184(17),12(13),2(12),12(13,R),2(12),2(32),12(32),2(31),12(31,R),2(30),378(30),12(27),2(26),12(27,R),2(26),12(28,R),2183(27),1(26),288(26),24(24),1(20),3(21),25(9),25(13),2(25),12(25),2(24),12(24,R),2(23),378(23),12(20),2(19),12(20,R),2(19),12(21,R),2183(20),1(19),97(19),1(17),1184(17),12(13),2(12),12(13,R),2(12),12(16),2(15),12(15),2(14),378(14),12(12),2(11),12(12,R),2(11),12(13),2(12),2473(12),1(10),12(12),2(11),12(12,R),2(11),12(11),2(10),2473(10),12(10,R),24(9)])].
% 130.56/130.81 6415 meet(a,join(A,meet(a,y2))) = meet(a,join(A,y2)). [para(6031(a,1),41(a,2,1)),rewrite([1(7),6031(7),6040(6),25(8),974(8),5129(9),4736(6),2(3),4(15),6034(10)]),flip(a)].
% 130.56/130.81 6469 meet(a,join(A,join(a,z2))) = a. [para(2086(a,1),5634(a,1,2)),rewrite([2(3),149(4),2(4),2(6),12(6),2(5),12(6,R),2(5)]),flip(a)].
% 130.56/130.81 6499 join(A,meet(B,A)) = meet(A,join(B,A)). [para(24(a,1),134(a,1,1,1,2)),rewrite([1866(4),24(3),1866(6),24(7),1866(10),3(9),1(7),2(8),549(8),10(7,R),1(6),371(6),66(3),25(4),2(4),24(5),1866(8),10(7,R),1(6),2086(8)]),flip(a)].
% 130.56/130.81 6825 join(x2,meet(y2,join(a,y2))) = join(x2,y2). [back_rewrite(5515),rewrite([6499(6)])].
% 130.56/130.81 6838 join(meet(A,meet(B,C)),meet(A,join(B,D))) = meet(A,join(B,D)). [back_rewrite(2146),rewrite([1(1),27(3),1(3),1(4),6499(6),371(6),1(5),1(8),1(9),27(11),2193(12),63(8),371(7),1(3)]),flip(a)].
% 130.56/130.81 6906 join(a,join(z2,meet(A,a))) = join(a,z2). [para(6469(a,1),3472(a,1,2)),rewrite([2(5),63(5),6111(9)]),flip(a)].
% 130.56/130.81 6929 meet(A,meet(a,join(B,A))) = meet(A,a). [para(6499(a,1),47(a,1,2)),rewrite([25(3),66(3),371(9),1(6),371(6),4736(10),4204(10)]),flip(a)].
% 130.56/130.81 6948 meet(join(A,a),join(A,meet(B,a))) = join(A,meet(B,a)). [para(4736(a,1),6499(a,1,2)),rewrite([2(7),12(7),2(6),2473(6),12(6,R),24(5),12(11,R),2(10),6499(10),149(10),1(9)]),flip(a)].
% 130.56/130.81 6955 join(meet(a,y2),meet(y2,join(x2,y2))) = meet(y2,join(x2,y2)). [para(6007(a,1),6499(a,1,2)),rewrite([2(9),371(22)])].
% 130.56/130.81 7032 meet(y2,meet(join(a,y2),join(x2,y2))) = meet(y2,join(a,y2)). [para(6825(a,1),371(a,1,2)),rewrite([1(9),10(9),1(8),10(9,R),1(8)])].
% 130.56/130.81 7034 join(meet(A,y2),meet(y2,join(x2,y2))) = meet(y2,meet(join(x2,y2),join(A,y2))). [para(6825(a,1),84(a,1,2,2,1)),rewrite([2(4),2(10),1866(12),1(10),6825(18)]),flip(a)].
% 130.56/130.81 7040 meet(y2,join(x2,y2)) = meet(y2,join(a,y2)). [back_rewrite(6955),rewrite([7034(9),1(8),7032(9)]),flip(a)].
% 130.56/130.81 7041 join(meet(A,y2),meet(y2,join(a,y2))) = meet(y2,meet(join(x2,y2),join(A,y2))). [back_rewrite(7034),rewrite([7040(7)])].
% 130.56/130.81 7133 meet(join(a,z2),join(z2,meet(A,a))) = join(z2,meet(A,a)). [para(6906(a,1),6499(a,2,2)),rewrite([4736(10),2(7),2(9),12(9),2(8),3472(8),12(7,R),24(6),1(12)]),flip(a)].
% 130.56/130.81 7275 meet(A,join(B,A)) = A. [para(60(a,1),137(a,2,1)),rewrite([66(3),3(3),24(1),66(4),3(4),66(4),27(5),2(2),1866(4),66(5),3(5),24(3),66(6),3(6),2(4),6499(4),10(5,R),1(4),66(8),3(8),66(8),3(8),24(6),66(9),3(9),66(9),27(10),2(7),12(10,R),2(9),1866(9),6838(10),10(7,R),1(6),371(6),66(3),25(3),24(4),1(4),66(5),66(7),3(7),709(7),3(7),66(5),3(5),24(3),66(6),3(6),66(6),27(7),2(4),1866(6),10(5,R),1(4),3(6)])].
% 130.56/130.81 7443 meet(y2,meet(join(x2,y2),join(A,y2))) = y2. [back_rewrite(7041),rewrite([7275(7),2(4),6499(4),7275(4)]),flip(a)].
% 130.56/130.81 8052 join(y2,meet(A,y2)) = y2. [para(7443(a,1),497(a,1,1)),rewrite([1(9),10(10,R),1(9),7443(9),7443(12)])].
% 130.56/130.81 8060 meet(y2,meet(join(A,y2),join(B,y2))) = y2. [para(7443(a,1),84(a,1,2,2,1,2)),rewrite([2(3),2(8),1866(10),1(9),7443(18),7275(13),2(11),8052(11)])].
% 130.56/130.81 8271 meet(A,meet(B,meet(C,join(meet(A,D),meet(A,E))))) = meet(B,meet(C,join(meet(A,D),meet(A,E)))). [para(3(a,1),166(a,1,2,2,2,1,2)),rewrite([1(1),2013(4),66(9)])].
% 130.56/130.81 8430 meet(y2,join(A,meet(join(B,y2),join(C,y2)))) = y2. [para(8060(a,1),549(a,1,1)),rewrite([2(8),3(10),2(8)]),flip(a)].
% 130.56/130.81 8893 meet(A,join(meet(B,C),meet(A,B))) = meet(A,B). [para(168(a,1),5535(a,1)),rewrite([1(2),1(5)])].
% 130.56/130.81 9130 meet(a,join(A,join(a,y2))) = a. [para(2086(a,1),6415(a,1,2)),rewrite([2(3),7275(4),2(4),2(6),12(6),2(5),12(6,R),2(5)]),flip(a)].
% 130.56/130.81 9162 join(a,join(y2,meet(A,a))) = join(a,y2). [para(9130(a,1),3472(a,1,2)),rewrite([2(5),63(5),6111(9)]),flip(a)].
% 130.56/130.81 9208 meet(join(a,y2),join(y2,meet(A,a))) = join(y2,meet(A,a)). [para(9162(a,1),7275(a,1,2)),rewrite([1(8)])].
% 130.56/130.81 10692 meet(A,join(meet(B,meet(C,D)),meet(A,C))) = meet(A,C). [para(10(a,1),8893(a,1,2,1))].
% 130.56/130.81 12999 join(x2,join(z2,meet(a,y2))) = join(x2,z2). [para(6929(a,1),1556(a,1,2)),rewrite([1(6),2(7),12(7),2(6),12(7,R),2(6)])].
% 130.56/130.81 13029 meet(join(x2,z2),join(z2,meet(a,y2))) = join(z2,meet(a,y2)). [para(12999(a,1),7275(a,1,2)),rewrite([1(9)])].
% 130.56/130.81 13136 join(A,meet(B,A)) = A. [para(109(a,1),1727(a,1,2,2)),rewrite([2(2),10(8,R),1(7),4736(7),6929(6),2(5),12(5,R),109(4),3(5),2(2)]),flip(a)].
% 130.56/130.81 13484 meet(meet(A,B),join(C,D)) = meet(A,meet(B,join(C,D))). [para(1895(a,1),132(a,1,2,1)),rewrite([1895(7),24(4),10(3),1(2),10(3,R),1(2),24(10)]),flip(a)].
% 130.56/130.81 15003 meet(A,meet(B,join(C,meet(B,join(A,D))))) = meet(A,B). [back_rewrite(2136),rewrite([13484(5)])].
% 130.56/130.81 15013 meet(A,meet(B,join(meet(C,A),meet(C,D)))) = meet(C,meet(A,B)). [back_rewrite(2077),rewrite([13484(6),13484(5),8271(6)])].
% 130.56/130.81 16336 join(join(A,B),meet(C,join(A,meet(B,D)))) = join(A,B). [para(2257(a,1),2(a,2)),rewrite([2(4),2(5),2(6)])].
% 130.56/130.81 19498 join(join(A,meet(B,a)),meet(join(A,a),join(B,meet(A,a)))) = meet(join(A,a),join(A,B)). [para(6948(a,1),18(a,1,1))].
% 130.56/130.81 19715 join(A,join(join(B,C),meet(D,E))) = join(A,join(B,join(C,meet(D,E)))). [para(494(a,1),276(a,1,2,2,2,2)),rewrite([12(6,R),2(5),12(5,R),2(4),12(4,R),24(3),12(8,R)]),flip(a)].
% 130.56/130.81 19893 join(z2,meet(join(a,z2),join(a,meet(A,z2)))) = join(a,z2). [para(7133(a,1),123(a,2)),rewrite([1(5),7275(5),1(6),1(11),4(11),2(8),1(16),4(16),2(13)])].
% 130.56/130.81 20676 join(y2,meet(join(a,y2),join(a,meet(A,y2)))) = join(a,y2). [para(9208(a,1),123(a,2)),rewrite([1(5),7275(5),1(6),1(11),4(11),2(8),1(16),4(16),2(13)])].
% 130.56/130.81 21808 meet(A,meet(join(A,B),join(C,D))) = meet(A,join(C,D)). [para(4(a,1),13484(a,1,1)),flip(a)].
% 130.56/130.81 23496 join(A,join(meet(B,C),meet(B,A))) = join(A,meet(B,C)). [para(8893(a,1),16336(a,1,2)),rewrite([2(2),1(3),2(4),12(4,R),2(6)])].
% 130.56/130.81 23532 join(A,meet(B,meet(A,C))) = A. [para(619(a,1),16336(a,1,2,2)),rewrite([2(2),13136(2),10(2),1(1),10(2,R),1(1),2(5),13136(5)])].
% 130.56/130.81 25876 meet(A,join(B,meet(join(A,C),join(A,D)))) = A. [para(21808(a,1),15003(a,1)),rewrite([4(7)])].
% 130.56/130.81 25906 meet(z2,meet(join(a,z2),join(A,B))) = meet(z2,join(A,B)). [para(19893(a,1),21808(a,1,2,1))].
% 130.56/130.81 25910 meet(y2,meet(join(a,y2),join(A,B))) = meet(y2,join(A,B)). [para(20676(a,1),21808(a,1,2,1))].
% 130.56/130.81 25927 meet(A,join(B,join(C,meet(join(A,D),join(A,E))))) = A. [para(25876(a,1),549(a,1,1)),rewrite([2(5),12(5,R),2(4),3(7),2(5),12(5,R),2(4)]),flip(a)].
% 130.56/130.81 27253 join(meet(A,meet(B,C)),meet(C,join(A,D))) = meet(C,join(A,D)). [para(2086(a,1),1868(a,1,2,2)),rewrite([2086(8)])].
% 130.56/130.81 27334 join(A,meet(join(A,B),join(C,meet(A,a)))) = join(A,meet(C,join(A,B))). [back_rewrite(5345),rewrite([27253(10)])].
% 130.56/130.81 27954 meet(join(A,y2),join(A,meet(B,y2))) = join(A,meet(B,y2)). [para(8430(a,1),1891(a,1,2,2)),rewrite([1(2),1(6),1(8)])].
% 130.56/130.81 28255 meet(z2,join(meet(A,z2),meet(B,meet(A,C)))) = meet(A,z2). [para(10692(a,1),25906(a,2)),rewrite([1(8),2(9),25906(11),1(9)])].
% 130.56/130.81 28504 meet(y2,join(meet(A,y2),meet(B,meet(A,C)))) = meet(A,y2). [para(10692(a,1),25910(a,2)),rewrite([1(8),2(9),25910(11),1(9)])].
% 130.56/130.81 28801 meet(A,join(join(A,B),meet(C,join(A,D)))) = A. [para(23496(a,1),25927(a,1,2)),rewrite([1(3)])].
% 130.56/130.81 28827 join(join(A,B),meet(C,join(A,D))) = join(A,join(B,meet(C,join(A,D)))). [para(28801(a,1),13136(a,1,2)),rewrite([2(5),19715(5),63(5)]),flip(a)].
% 130.56/130.81 28840 meet(A,join(join(A,B),meet(C,meet(D,join(A,E))))) = A. [para(13484(a,1),28801(a,1,2,2))].
% 130.56/130.81 29977 join(A,join(y2,meet(B,join(A,meet(C,y2))))) = join(A,y2). [para(27954(a,1),23532(a,1,2,2)),rewrite([28827(7)])].
% 130.56/130.81 30658 meet(A,join(join(A,B),meet(C,D))) = A. [para(5535(a,1),28840(a,1,2,2))].
% 130.56/130.81 30690 join(join(A,B),meet(C,D)) = join(A,join(B,meet(C,D))). [para(30658(a,1),13136(a,1,2)),rewrite([2(4),19715(4),63(4)]),flip(a)].
% 130.56/130.81 30885 join(A,meet(B,join(A,a))) = meet(join(A,a),join(A,B)). [back_rewrite(19498),rewrite([30690(10),2201(9),30690(8),13136(7),1(6),27334(7)])].
% 130.56/130.81 31887 join(y2,join(z2,meet(a,y2))) = join(y2,z2). [para(13029(a,1),29977(a,1,2,2)),rewrite([12(9,R),2(8),63(8),2(10)])].
% 130.56/130.81 31890 join(meet(A,join(y2,meet(a,z2))),meet(A,join(z2,meet(a,y2)))) = meet(A,join(y2,z2)). [para(31887(a,1),18(a,2,2)),rewrite([1(8),6415(8),2(5),2473(7),1(4),1(14),2(15),12(15,R),24(14)])].
% 130.56/130.81 32340 join(A,join(meet(A,B),meet(C,D))) = join(A,meet(C,D)). [para(3(a,1),30690(a,1,1)),flip(a)].
% 130.56/130.81 32510 join(A,meet(join(B,a),join(A,B))) = join(A,B). [para(30885(a,1),27(a,1,2)),rewrite([2(3)])].
% 130.56/130.81 33729 join(z2,join(meet(A,z2),meet(B,C))) = join(z2,meet(B,C)). [para(28255(a,1),32340(a,1,2,1))].
% 130.56/130.81 33734 join(y2,join(meet(A,y2),meet(B,C))) = join(y2,meet(B,C)). [para(28504(a,1),32340(a,1,2,1))].
% 130.56/130.81 34199 join(z2,meet(join(A,a),join(A,meet(B,z2)))) = join(A,z2). [para(32510(a,1),33729(a,1,2)),rewrite([2(4),12(5,R),2(4),13136(4),2(8)]),flip(a)].
% 130.56/130.81 34222 join(y2,meet(join(A,a),join(A,meet(B,y2)))) = join(A,y2). [para(32510(a,1),33734(a,1,2)),rewrite([2(4),12(5,R),2(4),13136(4),2(8)]),flip(a)].
% 130.56/130.81 34397 join(meet(a,z2),meet(A,join(B,z2))) = meet(join(B,z2),join(A,meet(a,z2))). [para(34199(a,1),2201(a,1,2,2)),rewrite([1(3),34199(15),1(12)])].
% 130.56/130.81 34445 join(meet(a,y2),meet(A,join(B,y2))) = meet(join(B,y2),join(A,meet(a,y2))). [para(34222(a,1),2201(a,1,2,2)),rewrite([1(3),34222(15),1(12)])].
% 130.56/130.81 35945 meet(A,meet(B,join(C,A))) = meet(A,B). [para(7275(a,1),15013(a,1,2,2,1)),rewrite([3(3),1(2),10(3),1(2),7275(2),1(1),1(3)]),flip(a)].
% 130.56/130.81 35957 join(meet(x2,y2),meet(x2,z2)) = meet(x2,join(y2,z2)). [para(35945(a,1),444(a,1,2,2,2)),rewrite([2(11),5429(13),2(10),34397(10),21808(11),2(12),1(16),2(17),34445(17),21808(18),31890(15),1(11),2(12)]),flip(a)].
% 130.56/130.81 35958 $F # answer(conjecture_1). [resolve(35957,a,22,a)].
% 130.56/130.81
% 130.56/130.81 % SZS output end Refutation
% 130.56/130.81 ============================== end of proof ==========================
% 130.56/130.81
% 130.56/130.81 ============================== STATISTICS ============================
% 130.56/130.81
% 130.56/130.81 Given=1974. Generated=1594486. Kept=35950. proofs=1.
% 130.56/130.81 Usable=1017. Sos=9933. Demods=10915. Limbo=0, Disabled=25014. Hints=0.
% 130.56/130.81 Megabytes=42.87.
% 130.56/130.81 User_CPU=128.92, System_CPU=0.89, Wall_clock=130.
% 130.56/130.81
% 130.56/130.81 ============================== end of statistics =====================
% 130.56/130.81
% 130.56/130.81 ============================== end of search =========================
% 130.56/130.81
% 130.56/130.81 THEOREM PROVED
% 130.56/130.81 % SZS status Unsatisfiable
% 130.56/130.81
% 130.56/130.81 Exiting with 1 proof.
% 130.56/130.81
% 130.56/130.81 Process 22018 exit (max_proofs) Tue Jun 28 20:05:10 2022
% 130.56/130.81 Prover9 interrupted
%------------------------------------------------------------------------------