TSTP Solution File: LAT095-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT095-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n008.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 06:25:33 EDT 2022
% Result : Unsatisfiable 8.53s 8.81s
% Output : Refutation 8.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LAT095-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.35 % Computer : n008.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 : Wed Jun 29 04:04:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 8.53/8.81 ============================== Prover9 ===============================
% 8.53/8.81 Prover9 (32) version 2009-11A, November 2009.
% 8.53/8.81 Process 2487 was started by sandbox2 on n008.cluster.edu,
% 8.53/8.81 Wed Jun 29 04:04:53 2022
% 8.53/8.81 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_2334_n008.cluster.edu".
% 8.53/8.81 ============================== end of head ===========================
% 8.53/8.81
% 8.53/8.81 ============================== INPUT =================================
% 8.53/8.81
% 8.53/8.81 % Reading from file /tmp/Prover9_2334_n008.cluster.edu
% 8.53/8.81
% 8.53/8.81 set(prolog_style_variables).
% 8.53/8.81 set(auto2).
% 8.53/8.81 % set(auto2) -> set(auto).
% 8.53/8.81 % set(auto) -> set(auto_inference).
% 8.53/8.81 % set(auto) -> set(auto_setup).
% 8.53/8.81 % set(auto_setup) -> set(predicate_elim).
% 8.53/8.81 % set(auto_setup) -> assign(eq_defs, unfold).
% 8.53/8.81 % set(auto) -> set(auto_limits).
% 8.53/8.81 % set(auto_limits) -> assign(max_weight, "100.000").
% 8.53/8.81 % set(auto_limits) -> assign(sos_limit, 20000).
% 8.53/8.81 % set(auto) -> set(auto_denials).
% 8.53/8.81 % set(auto) -> set(auto_process).
% 8.53/8.81 % set(auto2) -> assign(new_constants, 1).
% 8.53/8.81 % set(auto2) -> assign(fold_denial_max, 3).
% 8.53/8.81 % set(auto2) -> assign(max_weight, "200.000").
% 8.53/8.81 % set(auto2) -> assign(max_hours, 1).
% 8.53/8.81 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 8.53/8.81 % set(auto2) -> assign(max_seconds, 0).
% 8.53/8.81 % set(auto2) -> assign(max_minutes, 5).
% 8.53/8.81 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 8.53/8.81 % set(auto2) -> set(sort_initial_sos).
% 8.53/8.81 % set(auto2) -> assign(sos_limit, -1).
% 8.53/8.81 % set(auto2) -> assign(lrs_ticks, 3000).
% 8.53/8.81 % set(auto2) -> assign(max_megs, 400).
% 8.53/8.81 % set(auto2) -> assign(stats, some).
% 8.53/8.81 % set(auto2) -> clear(echo_input).
% 8.53/8.81 % set(auto2) -> set(quiet).
% 8.53/8.81 % set(auto2) -> clear(print_initial_clauses).
% 8.53/8.81 % set(auto2) -> clear(print_given).
% 8.53/8.81 assign(lrs_ticks,-1).
% 8.53/8.81 assign(sos_limit,10000).
% 8.53/8.81 assign(order,kbo).
% 8.53/8.81 set(lex_order_vars).
% 8.53/8.81 clear(print_given).
% 8.53/8.81
% 8.53/8.81 % formulas(sos). % not echoed (2 formulas)
% 8.53/8.81
% 8.53/8.81 ============================== end of input ==========================
% 8.53/8.81
% 8.53/8.81 % From the command line: assign(max_seconds, 300).
% 8.53/8.81
% 8.53/8.81 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 8.53/8.81
% 8.53/8.81 % Formulas that are not ordinary clauses:
% 8.53/8.81
% 8.53/8.81 ============================== end of process non-clausal formulas ===
% 8.53/8.81
% 8.53/8.81 ============================== PROCESS INITIAL CLAUSES ===============
% 8.53/8.81
% 8.53/8.81 ============================== PREDICATE ELIMINATION =================
% 8.53/8.81
% 8.53/8.81 ============================== end predicate elimination =============
% 8.53/8.81
% 8.53/8.81 Auto_denials:
% 8.53/8.81 % copying label prove_wal_axioms_4 to answer in negative clause
% 8.53/8.81
% 8.53/8.81 Term ordering decisions:
% 8.53/8.81 Function symbol KB weights: a=1. b=1. join=1. meet=1.
% 8.53/8.81
% 8.53/8.81 ============================== end of process initial clauses ========
% 8.53/8.81
% 8.53/8.81 ============================== CLAUSES FOR SEARCH ====================
% 8.53/8.81
% 8.53/8.81 ============================== end of clauses for search =============
% 8.53/8.81
% 8.53/8.81 ============================== SEARCH ================================
% 8.53/8.81
% 8.53/8.81 % Starting search at 0.01 seconds.
% 8.53/8.81
% 8.53/8.81 ============================== PROOF =================================
% 8.53/8.81 % SZS status Unsatisfiable
% 8.53/8.81 % SZS output start Refutation
% 8.53/8.81
% 8.53/8.81 % Proof 1 at 7.77 (+ 0.05) seconds: prove_wal_axioms_4.
% 8.53/8.81 % Length of proof is 176.
% 8.53/8.81 % Level of proof is 31.
% 8.53/8.81 % Maximum clause weight is 159.000.
% 8.53/8.81 % Given clauses 450.
% 8.53/8.81
% 8.53/8.81 1 join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(join(meet(B,D),meet(E,B)),B)),meet(join(meet(B,meet(meet(join(B,D),join(E,B)),B)),meet(F,join(B,meet(meet(join(B,D),join(E,B)),B)))),join(A,join(join(meet(B,D),meet(E,B)),B)))),join(join(meet(A,B),meet(B,join(A,B))),C))) = B # label(single_axiom) # label(axiom). [assumption].
% 8.53/8.81 2 join(b,a) != join(a,b) # label(prove_wal_axioms_4) # label(negated_conjecture) # answer(prove_wal_axioms_4). [assumption].
% 8.53/8.81 3 join(b,a) = c_0. [new_symbol(2)].
% 8.53/8.81 4 join(a,b) != c_0 # answer(prove_wal_axioms_4). [back_rewrite(2),rewrite([3(3)]),flip(a)].
% 8.53/8.81 5 join(meet(join(meet(A,join(meet(B,C),meet(C,join(B,C)))),meet(join(meet(B,C),meet(C,join(B,C))),join(A,join(meet(B,C),meet(C,join(B,C)))))),D),meet(join(meet(A,join(join(meet(join(meet(B,C),meet(C,join(B,C))),E),meet(F,join(meet(B,C),meet(C,join(B,C))))),join(meet(B,C),meet(C,join(B,C))))),meet(C,join(A,join(join(meet(join(meet(B,C),meet(C,join(B,C))),E),meet(F,join(meet(B,C),meet(C,join(B,C))))),join(meet(B,C),meet(C,join(B,C))))))),join(join(meet(A,join(meet(B,C),meet(C,join(B,C)))),meet(join(meet(B,C),meet(C,join(B,C))),join(A,join(meet(B,C),meet(C,join(B,C)))))),D))) = join(meet(B,C),meet(C,join(B,C))). [para(1(a,1),1(a,1,2,1,2,1))].
% 8.53/8.81 6 join(meet(join(meet(b,a),meet(a,c_0)),A),meet(join(meet(b,join(join(meet(a,B),meet(C,a)),a)),meet(join(meet(a,meet(meet(join(a,B),join(C,a)),a)),meet(D,join(a,meet(meet(join(a,B),join(C,a)),a)))),join(b,join(join(meet(a,B),meet(C,a)),a)))),join(join(meet(b,a),meet(a,c_0)),A))) = a. [para(3(a,1),1(a,1,1,1,2,2)),rewrite([3(55)])].
% 8.53/8.81 7 join(meet(join(meet(A,b),meet(b,join(A,b))),B),meet(join(meet(A,join(join(meet(b,a),meet(C,b)),b)),meet(join(meet(b,meet(meet(c_0,join(C,b)),b)),meet(D,join(b,meet(meet(c_0,join(C,b)),b)))),join(A,join(join(meet(b,a),meet(C,b)),b)))),join(join(meet(A,b),meet(b,join(A,b))),B))) = b. [para(3(a,1),1(a,1,2,1,2,1,1,2,1,1)),rewrite([3(29)])].
% 8.53/8.81 8 join(meet(join(meet(A,a),meet(a,join(A,a))),B),meet(join(meet(A,join(join(meet(a,C),meet(b,a)),a)),meet(join(meet(a,meet(meet(join(a,C),c_0),a)),meet(D,join(a,meet(meet(join(a,C),c_0),a)))),join(A,join(join(meet(a,C),meet(b,a)),a)))),join(join(meet(A,a),meet(a,join(A,a))),B))) = a. [para(3(a,1),1(a,1,2,1,2,1,1,2,1,2)),rewrite([3(31)])].
% 8.53/8.81 9 join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(join(meet(B,D),meet(E,B)),B)),meet(join(meet(F,join(join(meet(B,V6),meet(V7,B)),B)),meet(join(meet(B,meet(meet(join(B,V6),join(V7,B)),B)),meet(V8,join(B,meet(meet(join(B,V6),join(V7,B)),B)))),join(F,join(join(meet(B,V6),meet(V7,B)),B)))),join(A,join(join(meet(B,D),meet(E,B)),B)))),join(join(meet(A,B),meet(B,join(A,B))),C))) = B. [para(1(a,1),5(a,1,1,1,1,2)),rewrite([1(85),1(85),1(89),1(90),1(92),1(118),1(119),1(121),1(125),1(126),1(126),1(132)])].
% 8.53/8.81 10 join(meet(join(meet(A,join(meet(b,a),meet(a,c_0))),meet(join(meet(b,a),meet(a,c_0)),join(A,join(meet(b,a),meet(a,c_0))))),B),meet(join(meet(A,join(join(meet(join(meet(b,a),meet(a,c_0)),C),meet(D,join(meet(b,a),meet(a,c_0)))),join(meet(b,a),meet(a,c_0)))),meet(a,join(A,join(join(meet(join(meet(b,a),meet(a,c_0)),C),meet(D,join(meet(b,a),meet(a,c_0)))),join(meet(b,a),meet(a,c_0)))))),join(join(meet(A,join(meet(b,a),meet(a,c_0))),meet(join(meet(b,a),meet(a,c_0)),join(A,join(meet(b,a),meet(a,c_0))))),B))) = join(meet(b,a),meet(a,c_0)). [para(3(a,1),5(a,1,1,1,1,2,2,2)),rewrite([3(15),3(22),3(33),3(41),3(50),3(60),3(68),3(77),3(88),3(96),3(103),3(116)])].
% 8.53/8.81 15 join(meet(join(meet(join(meet(A,B),meet(B,join(A,B))),B),meet(B,join(join(meet(A,B),meet(B,join(A,B))),B))),C),meet(B,join(join(meet(join(meet(A,B),meet(B,join(A,B))),B),meet(B,join(join(meet(A,B),meet(B,join(A,B))),B))),C))) = B. [para(1(a,1),9(a,1,2,1))].
% 8.53/8.81 17 join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(join(meet(B,D),meet(E,B)),B)),meet(join(meet(F,join(join(meet(B,V6),meet(V7,B)),B)),meet(join(meet(V8,join(join(meet(B,V9),meet(V10,B)),B)),meet(join(meet(B,meet(meet(join(B,V9),join(V10,B)),B)),meet(V11,join(B,meet(meet(join(B,V9),join(V10,B)),B)))),join(V8,join(join(meet(B,V9),meet(V10,B)),B)))),join(F,join(join(meet(B,V6),meet(V7,B)),B)))),join(A,join(join(meet(B,D),meet(E,B)),B)))),join(join(meet(A,B),meet(B,join(A,B))),C))) = B. [para(9(a,1),5(a,1,1,1,1,2)),rewrite([9(121),9(121),9(125),9(126),9(128),9(166),9(167),9(169),9(173),9(174),9(174),9(180)])].
% 8.53/8.81 19 join(meet(join(meet(join(meet(b,a),meet(a,c_0)),a),meet(a,join(join(meet(b,a),meet(a,c_0)),a))),A),meet(a,join(join(meet(join(meet(b,a),meet(a,c_0)),a),meet(a,join(join(meet(b,a),meet(a,c_0)),a))),A))) = a. [para(6(a,1),9(a,1,2,1))].
% 8.53/8.81 21 join(meet(join(meet(A,a),meet(a,join(A,a))),B),meet(join(meet(A,join(join(meet(a,C),meet(D,a)),a)),meet(a,join(A,join(join(meet(a,C),meet(D,a)),a)))),join(join(meet(A,a),meet(a,join(A,a))),B))) = a. [para(19(a,1),5(a,1,1,1,1,2)),rewrite([19(51),19(52),19(57),19(59),19(62),19(66),19(68),19(71),19(76),19(78),19(79),19(86)])].
% 8.53/8.81 27 join(meet(a,A),meet(a,join(a,A))) = a. [para(19(a,1),21(a,1,1,1)),rewrite([19(63),19(52)])].
% 8.53/8.81 38 join(meet(join(meet(a,join(meet(b,a),meet(a,c_0))),meet(join(meet(b,a),meet(a,c_0)),join(a,join(meet(b,a),meet(a,c_0))))),A),meet(a,join(join(meet(a,join(meet(b,a),meet(a,c_0))),meet(join(meet(b,a),meet(a,c_0)),join(a,join(meet(b,a),meet(a,c_0))))),A))) = join(meet(b,a),meet(a,c_0)). [para(27(a,1),10(a,1,2,1))].
% 8.53/8.81 39 join(meet(A,B),meet(join(meet(join(meet(join(meet(C,A),meet(A,join(C,A))),A),meet(A,join(join(meet(C,A),meet(A,join(C,A))),A))),join(join(meet(A,D),meet(E,A)),A)),meet(join(meet(A,meet(meet(join(A,D),join(E,A)),A)),meet(F,join(A,meet(meet(join(A,D),join(E,A)),A)))),join(join(meet(join(meet(C,A),meet(A,join(C,A))),A),meet(A,join(join(meet(C,A),meet(A,join(C,A))),A))),join(join(meet(A,D),meet(E,A)),A)))),join(A,B))) = A. [para(15(a,1),1(a,1,1,1)),rewrite([15(77)])].
% 8.53/8.81 40 join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(join(meet(B,D),meet(E,B)),B)),meet(B,join(A,join(join(meet(B,D),meet(E,B)),B)))),join(join(meet(A,B),meet(B,join(A,B))),C))) = B. [para(15(a,1),5(a,1,1,1,1,2)),rewrite([15(29),15(29),15(33),15(34),15(36),15(38),15(39),15(41),15(45),15(46),15(46),15(52)])].
% 8.53/8.81 45 join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(join(meet(B,D),meet(E,B)),B)),meet(join(meet(B,meet(meet(join(B,F),join(V6,B)),B)),meet(V7,join(B,meet(meet(join(B,F),join(V6,B)),B)))),join(A,join(join(meet(B,D),meet(E,B)),B)))),join(join(meet(A,B),meet(B,join(A,B))),C))) = B. [para(15(a,1),9(a,1,2,1,2,1))].
% 8.53/8.81 50 join(meet(A,B),meet(A,join(A,B))) = A. [para(15(a,1),15(a,1,1,1)),rewrite([15(29)])].
% 8.53/8.81 53 join(meet(join(meet(A,join(meet(B,A),meet(A,join(B,A)))),meet(join(meet(B,A),meet(A,join(B,A))),join(A,join(meet(B,A),meet(A,join(B,A)))))),C),meet(A,join(join(meet(A,join(meet(B,A),meet(A,join(B,A)))),meet(join(meet(B,A),meet(A,join(B,A))),join(A,join(meet(B,A),meet(A,join(B,A)))))),C))) = join(meet(B,A),meet(A,join(B,A))). [para(50(a,1),5(a,1,2,1))].
% 8.53/8.81 57 join(meet(join(meet(join(meet(b,meet(meet(c_0,join(A,b)),b)),meet(B,join(b,meet(meet(c_0,join(A,b)),b)))),b),meet(b,join(join(meet(b,meet(meet(c_0,join(A,b)),b)),meet(B,join(b,meet(meet(c_0,join(A,b)),b)))),b))),C),meet(join(meet(b,meet(meet(c_0,join(A,b)),b)),meet(B,join(b,meet(meet(c_0,join(A,b)),b)))),join(join(meet(join(meet(b,meet(meet(c_0,join(A,b)),b)),meet(B,join(b,meet(meet(c_0,join(A,b)),b)))),b),meet(b,join(join(meet(b,meet(meet(c_0,join(A,b)),b)),meet(B,join(b,meet(meet(c_0,join(A,b)),b)))),b))),C))) = b. [para(50(a,1),7(a,1,2,1))].
% 8.53/8.81 59 join(meet(join(meet(join(meet(a,meet(meet(join(a,A),c_0),a)),meet(B,join(a,meet(meet(join(a,A),c_0),a)))),a),meet(a,join(join(meet(a,meet(meet(join(a,A),c_0),a)),meet(B,join(a,meet(meet(join(a,A),c_0),a)))),a))),C),meet(join(meet(a,meet(meet(join(a,A),c_0),a)),meet(B,join(a,meet(meet(join(a,A),c_0),a)))),join(join(meet(join(meet(a,meet(meet(join(a,A),c_0),a)),meet(B,join(a,meet(meet(join(a,A),c_0),a)))),a),meet(a,join(join(meet(a,meet(meet(join(a,A),c_0),a)),meet(B,join(a,meet(meet(join(a,A),c_0),a)))),a))),C))) = a. [para(50(a,1),8(a,1,2,1))].
% 8.53/8.81 72 join(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,B),A)) = meet(A,B). [para(50(a,1),50(a,1,2,2))].
% 8.53/8.81 106 join(meet(A,join(join(meet(B,C),meet(D,B)),B)),meet(join(meet(E,join(join(meet(B,F),meet(V6,B)),B)),meet(join(meet(B,meet(meet(join(B,F),join(V6,B)),B)),meet(V7,join(B,meet(meet(join(B,F),join(V6,B)),B)))),join(E,join(join(meet(B,F),meet(V6,B)),B)))),join(A,join(join(meet(B,C),meet(D,B)),B)))) = B. [para(9(a,1),40(a,1,1,1)),rewrite([9(273),9(121),50(4)]),flip(a)].
% 8.53/8.81 111 join(meet(join(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,join(A,B)),A)),C),meet(join(meet(meet(A,B),join(join(meet(meet(A,join(A,B)),D),meet(E,meet(A,join(A,B)))),meet(A,join(A,B)))),meet(meet(A,join(A,B)),join(meet(A,B),join(join(meet(meet(A,join(A,B)),D),meet(E,meet(A,join(A,B)))),meet(A,join(A,B)))))),join(join(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,join(A,B)),A)),C))) = meet(A,join(A,B)). [para(50(a,1),40(a,1,1,1,2,2)),rewrite([50(47)])].
% 8.53/8.81 118 join(meet(A,join(join(meet(B,C),meet(D,B)),B)),meet(B,join(A,join(join(meet(B,C),meet(D,B)),B)))) = B. [para(40(a,1),40(a,1,1,1)),rewrite([40(105),40(49),50(4)]),flip(a)].
% 8.53/8.81 128 join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(B,join(join(meet(A,B),meet(B,join(A,B))),C))) = B. [back_rewrite(17),rewrite([106(46),118(17)])].
% 8.53/8.81 133 join(meet(join(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,join(A,B)),A)),C),meet(meet(A,join(A,B)),join(join(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,join(A,B)),A)),C))) = meet(A,join(A,B)). [back_rewrite(111),rewrite([118(37)])].
% 8.53/8.81 135 join(meet(A,B),meet(join(meet(A,join(join(meet(A,C),meet(D,A)),A)),meet(join(meet(A,meet(meet(join(A,C),join(D,A)),A)),meet(E,join(A,meet(meet(join(A,C),join(D,A)),A)))),join(A,join(join(meet(A,C),meet(D,A)),A)))),join(A,B))) = A. [back_rewrite(39),rewrite([128(13),128(30)])].
% 8.53/8.81 138 join(meet(meet(meet(A,join(join(meet(B,C),meet(D,B)),B)),meet(B,join(A,join(join(meet(B,C),meet(D,B)),B)))),meet(meet(A,join(join(meet(B,C),meet(D,B)),B)),B)),meet(meet(meet(A,join(join(meet(B,C),meet(D,B)),B)),meet(B,join(A,join(join(meet(B,C),meet(D,B)),B)))),meet(A,join(join(meet(B,C),meet(D,B)),B)))) = meet(meet(A,join(join(meet(B,C),meet(D,B)),B)),meet(B,join(A,join(join(meet(B,C),meet(D,B)),B)))). [para(118(a,1),72(a,1,1,2,2))].
% 8.53/8.81 193 join(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,join(A,B)),A)) = meet(A,join(A,B)). [para(133(a,1),135(a,1,2,1,2,1)),rewrite([133(87),133(22)]),flip(a)].
% 8.53/8.81 200 join(meet(b,a),meet(a,c_0)) = a. [para(38(a,1),118(a,1))].
% 8.53/8.81 204 join(meet(join(meet(meet(b,a),meet(a,c_0)),meet(meet(a,c_0),a)),A),meet(meet(a,c_0),join(join(meet(meet(b,a),meet(a,c_0)),meet(meet(a,c_0),a)),A))) = meet(a,c_0). [para(200(a,1),128(a,1,1,1,2,2)),rewrite([200(34)])].
% 8.53/8.81 210 join(meet(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,B),A)),meet(meet(meet(A,B),A),meet(A,B))) = meet(meet(A,B),A). [para(50(a,1),193(a,1,1,2,2)),rewrite([50(12),50(17)])].
% 8.53/8.81 251 join(meet(A,join(join(meet(B,C),meet(D,B)),B)),meet(join(meet(B,meet(meet(join(B,E),join(F,B)),B)),meet(V6,join(B,meet(meet(join(B,E),join(F,B)),B)))),join(A,join(join(meet(B,C),meet(D,B)),B)))) = B. [para(45(a,1),118(a,1)),flip(a)].
% 8.53/8.81 265 join(meet(join(meet(meet(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,B),A)),meet(meet(meet(A,B),A),meet(A,B))),meet(meet(meet(meet(A,B),A),meet(A,B)),meet(meet(A,B),A))),C),meet(meet(meet(meet(A,B),A),meet(A,B)),join(join(meet(meet(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,B),A)),meet(meet(meet(A,B),A),meet(A,B))),meet(meet(meet(meet(A,B),A),meet(A,B)),meet(meet(A,B),A))),C))) = meet(meet(meet(A,B),A),meet(A,B)). [para(210(a,1),128(a,1,1,1,2,2)),rewrite([210(53)])].
% 8.53/8.81 277 join(meet(A,B),meet(B,join(A,B))) = B. [para(53(a,1),118(a,1))].
% 8.53/8.81 280 join(meet(meet(b,a),meet(a,c_0)),meet(meet(a,c_0),a)) = meet(a,c_0). [para(200(a,1),53(a,1,1,1,1,2,2,2)),rewrite([200(34),200(50),277(49),200(37),200(51),200(67),277(66),204(33),200(20)]),flip(a)].
% 8.53/8.81 284 join(meet(meet(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,B),A)),meet(meet(meet(A,B),A),meet(A,B))),meet(meet(meet(meet(A,B),A),meet(A,B)),meet(meet(A,B),A))) = meet(meet(meet(A,B),A),meet(A,B)). [para(210(a,1),53(a,1,1,1,1,2,2,2)),rewrite([210(53),210(77),277(72),210(57),210(78),210(102),277(97),265(48),210(32)]),flip(a)].
% 8.53/8.81 302 join(meet(a,A),meet(join(meet(a,meet(meet(join(a,B),c_0),a)),meet(C,join(a,meet(meet(join(a,B),c_0),a)))),join(a,A))) = a. [back_rewrite(59),rewrite([277(43),277(63)])].
% 8.53/8.81 304 join(meet(b,A),meet(join(meet(b,meet(meet(c_0,join(B,b)),b)),meet(C,join(b,meet(meet(c_0,join(B,b)),b)))),join(b,A))) = b. [back_rewrite(57),rewrite([277(43),277(63)])].
% 8.53/8.81 305 join(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)) = meet(A,B). [para(277(a,1),50(a,1,2,2))].
% 8.53/8.81 312 join(meet(meet(A,B),meet(B,join(A,B))),meet(meet(B,join(A,B)),B)) = meet(B,join(A,B)). [para(277(a,1),277(a,1,2,2))].
% 8.53/8.81 373 join(meet(a,A),meet(meet(meet(join(a,B),c_0),a),join(a,A))) = a. [para(277(a,1),302(a,1,2,1))].
% 8.53/8.81 377 meet(meet(join(a,A),c_0),a) = a. [para(373(a,1),118(a,1)),flip(a)].
% 8.53/8.81 388 join(a,meet(a,join(meet(join(a,A),c_0),a))) = a. [para(377(a,1),277(a,1,1))].
% 8.53/8.81 408 meet(meet(a,c_0),a) = a. [para(388(a,1),377(a,1,1,1))].
% 8.53/8.81 424 join(meet(meet(b,a),meet(a,c_0)),a) = meet(a,c_0). [back_rewrite(280),rewrite([408(12)])].
% 8.53/8.81 433 join(meet(meet(a,meet(meet(a,c_0),join(meet(a,c_0),a))),meet(a,meet(a,c_0))),meet(meet(a,meet(a,c_0)),a)) = meet(a,meet(a,c_0)). [para(408(a,1),210(a,1,1,1,1)),rewrite([408(16),408(22),408(27),408(30)])].
% 8.53/8.81 435 join(meet(a,meet(a,join(meet(a,c_0),a))),meet(a,a)) = a. [para(408(a,1),305(a,1,1,1)),rewrite([408(14),408(18)])].
% 8.53/8.81 436 join(meet(a,meet(a,join(meet(a,c_0),a))),meet(meet(a,join(meet(a,c_0),a)),a)) = meet(a,join(meet(a,c_0),a)). [para(408(a,1),312(a,1,1,1))].
% 8.53/8.81 477 join(meet(A,join(a,a)),meet(a,join(A,join(a,a)))) = a. [para(435(a,1),118(a,1,1,2,1)),rewrite([435(18)])].
% 8.53/8.81 1149 join(meet(b,meet(meet(c_0,join(A,b)),b)),meet(B,join(b,meet(meet(c_0,join(A,b)),b)))) = b. [para(304(a,1),118(a,1)),flip(a)].
% 8.53/8.81 1150 join(meet(b,A),meet(meet(meet(c_0,join(B,b)),b),join(b,A))) = b. [para(277(a,1),304(a,1,2,1))].
% 8.53/8.81 1155 meet(meet(c_0,join(A,b)),b) = b. [para(1150(a,1),118(a,1)),flip(a)].
% 8.53/8.81 1156 join(meet(b,b),meet(A,join(b,b))) = b. [back_rewrite(1149),rewrite([1155(7),1155(10)])].
% 8.53/8.81 1167 join(b,meet(b,join(meet(c_0,join(A,b)),b))) = b. [para(1155(a,1),277(a,1,1))].
% 8.53/8.81 1168 join(meet(b,meet(b,join(meet(c_0,join(A,b)),b))),meet(b,b)) = b. [para(1155(a,1),305(a,1,1,1)),rewrite([1155(16),1155(20)])].
% 8.53/8.81 1186 join(meet(meet(b,b),meet(A,join(b,b))),meet(meet(A,join(b,b)),b)) = meet(A,join(b,b)). [para(1156(a,1),277(a,1,2,2))].
% 8.53/8.81 1204 join(meet(A,join(b,b)),meet(b,join(A,join(b,b)))) = b. [para(1168(a,1),118(a,1,1,2,1)),rewrite([1168(19)])].
% 8.53/8.81 1288 join(meet(meet(b,b),meet(c_0,join(b,b))),b) = meet(c_0,join(b,b)). [para(1155(a,1),1186(a,1,2))].
% 8.53/8.81 1295 join(meet(meet(meet(meet(b,b),meet(c_0,join(b,b))),b),meet(b,meet(c_0,join(b,b)))),meet(meet(meet(meet(b,b),meet(c_0,join(b,b))),b),b)) = meet(meet(meet(b,b),meet(c_0,join(b,b))),b). [para(1288(a,1),305(a,1,1,2,2))].
% 8.53/8.81 1296 join(meet(meet(meet(meet(b,b),meet(c_0,join(b,b))),b),meet(b,meet(c_0,join(b,b)))),meet(meet(b,meet(c_0,join(b,b))),b)) = meet(b,meet(c_0,join(b,b))). [para(1288(a,1),312(a,1,1,2,2)),rewrite([1288(31),1288(41)])].
% 8.53/8.81 1455 join(meet(meet(meet(meet(a,meet(meet(a,c_0),join(meet(a,c_0),a))),meet(a,meet(a,c_0))),meet(meet(a,meet(a,c_0)),a)),meet(meet(meet(a,meet(a,c_0)),a),meet(a,meet(a,c_0)))),meet(meet(meet(meet(a,meet(a,c_0)),a),meet(a,meet(a,c_0))),meet(meet(a,meet(a,c_0)),a))) = meet(meet(meet(a,meet(a,c_0)),a),meet(a,meet(a,c_0))). [para(433(a,1),312(a,1,1,2,2)),rewrite([433(71),433(93)])].
% 8.53/8.81 1586 join(meet(A,meet(meet(join(A,B),join(C,A)),A)),meet(D,join(A,meet(meet(join(A,B),join(C,A)),A)))) = A. [para(251(a,1),50(a,1)),flip(a)].
% 8.53/8.81 1638 join(meet(meet(A,meet(meet(join(A,B),join(C,A)),A)),meet(D,join(A,meet(meet(join(A,B),join(C,A)),A)))),meet(meet(A,meet(meet(join(A,B),join(C,A)),A)),A)) = meet(A,meet(meet(join(A,B),join(C,A)),A)). [para(1586(a,1),50(a,1,2,2))].
% 8.53/8.81 1643 join(meet(meet(meet(A,meet(meet(join(A,B),join(C,A)),A)),meet(D,join(A,meet(meet(join(A,B),join(C,A)),A)))),meet(meet(A,meet(meet(join(A,B),join(C,A)),A)),A)),meet(meet(meet(A,meet(meet(join(A,B),join(C,A)),A)),meet(D,join(A,meet(meet(join(A,B),join(C,A)),A)))),meet(A,meet(meet(join(A,B),join(C,A)),A)))) = meet(meet(A,meet(meet(join(A,B),join(C,A)),A)),meet(D,join(A,meet(meet(join(A,B),join(C,A)),A)))). [para(1586(a,1),72(a,1,1,2,2))].
% 8.53/8.81 1661 meet(meet(join(A,B),join(C,A)),A) = A. [para(1586(a,1),277(a,1)),flip(a)].
% 8.53/8.81 1738 join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) = meet(meet(A,A),meet(B,join(A,A))). [back_rewrite(1643),rewrite([1661(4),1661(5),1661(8),1661(11),1661(12),1661(15),1661(18),1661(19)])].
% 8.53/8.81 1739 join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)) = meet(A,A). [back_rewrite(1638),rewrite([1661(4),1661(5),1661(8),1661(11)])].
% 8.53/8.81 1740 join(meet(A,A),meet(B,join(A,A))) = A. [back_rewrite(1586),rewrite([1661(4),1661(5)])].
% 8.53/8.81 1776 meet(meet(A,join(B,meet(C,A))),meet(C,A)) = meet(C,A). [para(277(a,1),1661(a,1,1,1))].
% 8.53/8.81 1782 meet(meet(a,join(A,a)),a) = a. [para(388(a,1),1661(a,1,1,1))].
% 8.53/8.81 1791 join(meet(meet(join(join(meet(A,B),meet(C,A)),A),meet(A,join(meet(join(join(join(meet(A,B),meet(C,A)),A),D),join(E,join(join(meet(A,B),meet(C,A)),A))),join(join(meet(A,B),meet(C,A)),A)))),meet(join(join(meet(A,B),meet(C,A)),A),A)),meet(meet(join(join(meet(A,B),meet(C,A)),A),meet(A,join(meet(join(join(join(meet(A,B),meet(C,A)),A),D),join(E,join(join(meet(A,B),meet(C,A)),A))),join(join(meet(A,B),meet(C,A)),A)))),join(join(meet(A,B),meet(C,A)),A))) = meet(join(join(meet(A,B),meet(C,A)),A),meet(A,join(meet(join(join(join(meet(A,B),meet(C,A)),A),D),join(E,join(join(meet(A,B),meet(C,A)),A))),join(join(meet(A,B),meet(C,A)),A)))). [para(1661(a,1),138(a,1,1,1,1)),rewrite([1661(38),1661(44),1661(66),1661(72)])].
% 8.53/8.81 1792 join(meet(meet(meet(join(A,B),join(join(meet(A,C),meet(D,A)),A)),meet(A,join(join(A,B),join(join(meet(A,C),meet(D,A)),A)))),A),meet(meet(meet(join(A,B),join(join(meet(A,C),meet(D,A)),A)),meet(A,join(join(A,B),join(join(meet(A,C),meet(D,A)),A)))),meet(join(A,B),join(join(meet(A,C),meet(D,A)),A)))) = meet(meet(join(A,B),join(join(meet(A,C),meet(D,A)),A)),meet(A,join(join(A,B),join(join(meet(A,C),meet(D,A)),A)))). [para(1661(a,1),138(a,1,1,2))].
% 8.53/8.81 1814 meet(meet(b,join(A,b)),b) = b. [para(1167(a,1),1661(a,1,1,1))].
% 8.53/8.81 1949 join(meet(a,meet(a,join(meet(a,c_0),a))),a) = meet(a,join(meet(a,c_0),a)). [back_rewrite(436),rewrite([1782(18)])].
% 8.53/8.81 1978 meet(meet(a,meet(a,c_0)),a) = a. [para(424(a,1),1782(a,1,1,2))].
% 8.53/8.81 2000 join(meet(meet(meet(meet(a,meet(meet(a,c_0),join(meet(a,c_0),a))),meet(a,meet(a,c_0))),a),meet(a,meet(a,meet(a,c_0)))),meet(meet(a,meet(a,meet(a,c_0))),a)) = meet(a,meet(a,meet(a,c_0))). [back_rewrite(1455),rewrite([1978(24),1978(26),1978(34),1978(41),1978(44)])].
% 8.53/8.81 2051 meet(meet(b,meet(c_0,join(b,b))),b) = b. [para(1288(a,1),1814(a,1,1,2))].
% 8.53/8.81 2062 join(meet(meet(meet(meet(b,b),meet(c_0,join(b,b))),b),meet(b,meet(c_0,join(b,b)))),b) = meet(b,meet(c_0,join(b,b))). [back_rewrite(1296),rewrite([2051(28)])].
% 8.53/8.81 2091 join(join(meet(A,B),meet(C,A)),A) = A. [para(1740(a,1),118(a,1))].
% 8.53/8.81 2092 join(a,a) = a. [para(1740(a,1),477(a,1))].
% 8.53/8.81 2094 join(b,b) = b. [para(1740(a,1),1204(a,1))].
% 8.53/8.81 2098 join(meet(A,A),join(A,A)) = A. [para(1661(a,1),1740(a,1,2))].
% 8.53/8.81 2102 join(meet(meet(meet(join(A,B),A),meet(A,join(join(A,B),A))),A),meet(meet(meet(join(A,B),A),meet(A,join(join(A,B),A))),meet(join(A,B),A))) = meet(meet(join(A,B),A),meet(A,join(join(A,B),A))). [back_rewrite(1792),rewrite([2091(5),2091(7),2091(12),2091(14),2091(18),2091(22),2091(24)])].
% 8.53/8.81 2103 join(meet(meet(A,meet(A,join(meet(join(A,B),join(C,A)),A))),meet(A,A)),meet(meet(A,meet(A,join(meet(join(A,B),join(C,A)),A))),A)) = meet(A,meet(A,join(meet(join(A,B),join(C,A)),A))). [back_rewrite(1791),rewrite([2091(4),2091(4),2091(5),2091(7),2091(10),2091(12),2091(12),2091(13),2091(15),2091(18),2091(20),2091(20),2091(21),2091(23)])].
% 8.53/8.81 2147 join(meet(meet(meet(meet(b,b),meet(c_0,b)),b),meet(b,meet(c_0,b))),b) = meet(b,meet(c_0,b)). [back_rewrite(2062),rewrite([2094(7),2094(14),2094(22)])].
% 8.53/8.81 2156 meet(meet(b,meet(c_0,b)),b) = b. [back_rewrite(2051),rewrite([2094(5)])].
% 8.53/8.81 2241 join(meet(meet(meet(meet(b,b),meet(c_0,b)),b),meet(b,meet(c_0,b))),meet(meet(meet(meet(b,b),meet(c_0,b)),b),b)) = meet(meet(meet(b,b),meet(c_0,b)),b). [back_rewrite(1295),rewrite([2094(7),2094(14),2094(22),2094(34)])].
% 8.53/8.81 2248 join(meet(meet(b,b),meet(c_0,b)),b) = meet(c_0,b). [back_rewrite(1288),rewrite([2094(7),2094(13)])].
% 8.53/8.81 2265 meet(meet(a,a),a) = a. [para(2092(a,1),1782(a,1,1,2))].
% 8.53/8.81 2434 meet(meet(b,b),b) = b. [para(2094(a,1),1814(a,1,1,2))].
% 8.53/8.81 2467 join(a,meet(meet(a,a),join(meet(a,a),a))) = meet(a,a). [para(2265(a,1),50(a,1,1))].
% 8.53/8.81 2495 join(b,meet(meet(b,b),join(meet(b,b),b))) = meet(b,b). [para(2434(a,1),50(a,1,1))].
% 8.53/8.81 2512 join(meet(meet(A,A),join(A,A)),meet(meet(A,A),A)) = meet(A,A). [para(2098(a,1),50(a,1,2,2))].
% 8.53/8.81 2517 join(meet(meet(A,A),join(A,A)),meet(join(A,A),A)) = join(A,A). [para(2098(a,1),277(a,1,2,2))].
% 8.53/8.81 2529 join(meet(a,a),a) = a. [para(2092(a,1),2098(a,1,2))].
% 8.53/8.81 2530 join(meet(b,b),b) = b. [para(2094(a,1),2098(a,1,2))].
% 8.53/8.81 2542 meet(a,a) = a. [back_rewrite(2467),rewrite([2529(9),2265(6),2092(3)]),flip(a)].
% 8.53/8.81 2554 meet(b,b) = b. [back_rewrite(2495),rewrite([2530(9),2434(6),2094(3)]),flip(a)].
% 8.53/8.81 2780 meet(a,join(meet(a,c_0),a)) = a. [back_rewrite(435),rewrite([2542(12),1949(11)])].
% 8.53/8.81 2818 join(meet(b,meet(c_0,b)),b) = meet(c_0,b). [back_rewrite(2248),rewrite([2554(3)])].
% 8.53/8.81 2825 join(meet(b,meet(b,meet(c_0,b))),b) = b. [back_rewrite(2241),rewrite([2554(3),2156(7),2554(10),2156(14),2554(10),2554(12),2156(16)])].
% 8.53/8.81 2837 meet(b,meet(c_0,b)) = b. [back_rewrite(2147),rewrite([2554(3),2156(7),2825(9)]),flip(a)].
% 8.53/8.81 2844 meet(c_0,b) = b. [back_rewrite(2818),rewrite([2837(5),2094(3)]),flip(a)].
% 8.53/8.81 3068 join(join(b,meet(A,meet(c_0,join(B,b)))),meet(c_0,join(B,b))) = meet(c_0,join(B,b)). [para(1155(a,1),2091(a,1,1,1))].
% 8.53/8.81 3074 meet(meet(join(A,B),A),A) = A. [para(2091(a,1),1661(a,1,1,2))].
% 8.53/8.81 3076 join(join(meet(A,B),A),A) = A. [para(1661(a,1),2091(a,1,1,2))].
% 8.53/8.81 3089 meet(meet(A,meet(A,B)),meet(A,B)) = meet(A,B). [para(50(a,1),3074(a,1,1,1))].
% 8.53/8.81 3136 join(meet(join(meet(A,B),A),A),meet(join(meet(A,B),A),A)) = join(meet(A,B),A). [para(3076(a,1),50(a,1,2,2))].
% 8.53/8.81 3177 join(join(b,c_0),c_0) = c_0. [para(2844(a,1),3076(a,1,1,1))].
% 8.53/8.81 3182 join(join(A,meet(join(A,B),A)),meet(join(A,B),A)) = meet(join(A,B),A). [para(3074(a,1),3076(a,1,1,1))].
% 8.53/8.81 3183 join(meet(join(b,c_0),c_0),meet(join(b,c_0),c_0)) = join(b,c_0). [para(3177(a,1),50(a,1,2,2))].
% 8.53/8.81 3841 meet(A,A) = A. [para(1661(a,1),3089(a,1,1,2)),rewrite([1661(4),1661(4),1661(5)])].
% 8.53/8.81 3844 join(join(meet(A,B),meet(A,meet(A,B))),meet(A,meet(A,B))) = meet(A,meet(A,B)). [para(3089(a,1),3076(a,1,1,1))].
% 8.53/8.81 4029 join(meet(A,join(A,A)),meet(join(A,A),A)) = join(A,A). [back_rewrite(2517),rewrite([3841(1)])].
% 8.53/8.81 4033 join(meet(A,join(A,A)),A) = A. [back_rewrite(2512),rewrite([3841(1),3841(3),3841(3),3841(4)])].
% 8.53/8.81 4034 join(meet(meet(A,meet(A,join(meet(join(A,B),join(C,A)),A))),A),meet(meet(A,meet(A,join(meet(join(A,B),join(C,A)),A))),A)) = meet(A,meet(A,join(meet(join(A,B),join(C,A)),A))). [back_rewrite(2103),rewrite([3841(7)])].
% 8.53/8.81 4041 join(A,meet(B,join(A,A))) = A. [back_rewrite(1740),rewrite([3841(1)])].
% 8.53/8.81 4042 join(meet(A,meet(B,join(A,A))),A) = A. [back_rewrite(1739),rewrite([3841(1),3841(4),3841(4),3841(5)])].
% 8.53/8.81 4043 join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)) = meet(A,meet(B,join(A,A))). [back_rewrite(1738),rewrite([3841(1),3841(4),3841(4),3841(5),3841(8),3841(10)])].
% 8.53/8.81 4056 meet(join(A,A),A) = A. [para(3841(a,1),1661(a,1,1))].
% 8.53/8.81 4060 join(A,A) = A. [back_rewrite(4029),rewrite([4056(4),4033(3)]),flip(a)].
% 8.53/8.81 4067 meet(meet(A,meet(B,A)),A) = meet(A,meet(B,A)). [back_rewrite(4043),rewrite([4060(1),4060(4),4060(7),4060(4)])].
% 8.53/8.81 4068 join(meet(A,meet(B,A)),A) = A. [back_rewrite(4042),rewrite([4060(1)])].
% 8.53/8.81 4069 join(A,meet(B,A)) = A. [back_rewrite(4041),rewrite([4060(1)])].
% 8.53/8.81 4071 meet(meet(A,meet(A,join(meet(join(A,B),join(C,A)),A))),A) = meet(A,meet(A,join(meet(join(A,B),join(C,A)),A))). [back_rewrite(4034),rewrite([4060(15)])].
% 8.53/8.81 4104 meet(join(b,c_0),c_0) = join(b,c_0). [back_rewrite(3183),rewrite([4060(11)])].
% 8.53/8.81 4105 meet(join(meet(A,B),A),A) = join(meet(A,B),A). [back_rewrite(3136),rewrite([4060(7)])].
% 8.53/8.81 4118 meet(A,meet(A,B)) = meet(A,B). [back_rewrite(3844),rewrite([4069(4),4069(4)]),flip(a)].
% 8.53/8.81 4119 meet(join(A,B),A) = A. [back_rewrite(3182),rewrite([4069(3),4069(3)]),flip(a)].
% 8.53/8.81 4226 meet(meet(A,join(meet(join(A,B),join(C,A)),A)),A) = meet(A,join(meet(join(A,B),join(C,A)),A)). [back_rewrite(4071),rewrite([4118(6),4118(12)])].
% 8.53/8.81 4314 join(meet(meet(meet(meet(a,meet(meet(a,c_0),join(meet(a,c_0),a))),meet(a,c_0)),a),meet(a,c_0)),a) = meet(a,c_0). [back_rewrite(2000),rewrite([4118(16),4118(23),4118(22),4118(27),4118(26),408(26),4118(29),4118(28)])].
% 8.53/8.81 4345 meet(meet(A,join(join(A,B),A)),A) = meet(A,join(join(A,B),A)). [back_rewrite(2102),rewrite([4119(2),4118(4),4119(6),4118(8),4119(9),4060(9),4119(6),4118(8)])].
% 8.53/8.81 4346 meet(meet(A,join(B,A)),A) = A. [para(4060(a,1),1661(a,1,1,1))].
% 8.53/8.81 4347 meet(A,join(join(A,B),A)) = A. [back_rewrite(4345),rewrite([4346(4)]),flip(a)].
% 8.53/8.81 4348 meet(A,join(meet(join(A,B),join(C,A)),A)) = A. [back_rewrite(4226),rewrite([4346(6)]),flip(a)].
% 8.53/8.81 4375 join(meet(a,c_0),a) = a. [para(2780(a,1),4069(a,1,2)),rewrite([3076(7)]),flip(a)].
% 8.53/8.81 4385 meet(a,c_0) = a. [back_rewrite(4314),rewrite([4375(9),408(6),3841(3),4118(5),408(5),4118(5),4375(5)]),flip(a)].
% 8.53/8.81 4452 join(A,meet(join(A,B),join(join(A,B),A))) = join(A,B). [para(4119(a,1),50(a,1,1))].
% 8.53/8.81 4453 join(meet(A,meet(join(A,B),join(join(A,B),A))),meet(A,join(A,B))) = A. [para(4119(a,1),72(a,1,1,1)),rewrite([4119(7),4119(10)])].
% 8.53/8.81 4461 meet(A,meet(B,A)) = meet(B,A). [para(277(a,1),4119(a,1,1))].
% 8.53/8.81 4474 meet(A,join(meet(A,B),A)) = join(meet(A,B),A). [para(3076(a,1),4119(a,1,1))].
% 8.53/8.81 4475 meet(c_0,join(b,c_0)) = join(b,c_0). [para(3177(a,1),4119(a,1,1))].
% 8.53/8.81 4481 join(meet(A,B),B) = B. [back_rewrite(4068),rewrite([4461(2)])].
% 8.53/8.81 4482 meet(meet(A,B),B) = meet(A,B). [back_rewrite(4067),rewrite([4461(2),4461(4)])].
% 8.53/8.81 4564 join(a,c_0) = c_0. [para(4385(a,1),4481(a,1,1))].
% 8.53/8.81 4567 meet(c_0,a) = a. [para(4564(a,1),377(a,1,1,1)),rewrite([3841(3)])].
% 8.53/8.81 4568 meet(meet(c_0,join(A,a)),a) = a. [para(4564(a,1),1661(a,1,1,1))].
% 8.53/8.81 4569 join(join(a,meet(A,c_0)),c_0) = c_0. [para(4567(a,1),2091(a,1,1,1))].
% 8.53/8.81 4622 join(meet(meet(meet(A,meet(meet(A,join(B,A)),join(meet(A,join(B,A)),A))),meet(A,join(B,A))),A),meet(A,join(B,A))) = A. [para(4346(a,1),284(a,1,1,1,1,1)),rewrite([4346(10),4118(10),4346(13),4118(13),4346(15),4346(13),4346(14),4118(14),4346(16),4346(14),4346(14),4118(14),4118(14),4346(17),4118(17),4346(19),4346(17)])].
% 8.53/8.81 4693 meet(join(join(A,B),A),A) = A. [para(4347(a,1),4461(a,1,2)),rewrite([4347(6)])].
% 8.53/8.81 4715 join(b,c_0) = c_0. [para(4475(a,1),4346(a,1,1)),rewrite([4104(5)])].
% 8.53/8.81 4716 meet(b,c_0) = b. [para(4715(a,1),50(a,1,2,2)),rewrite([4060(7)])].
% 8.53/8.81 4766 join(meet(a,meet(meet(c_0,join(A,a)),join(meet(c_0,join(A,a)),a))),meet(a,meet(c_0,join(A,a)))) = a. [para(4568(a,1),72(a,1,1,1)),rewrite([4568(19),4568(26)])].
% 8.53/8.81 4777 join(join(a,b),c_0) = c_0. [para(4716(a,1),4569(a,1,1,2))].
% 8.53/8.81 4779 meet(join(a,b),c_0) = join(a,b). [para(4777(a,1),50(a,1,2,2)),rewrite([4060(11)])].
% 8.53/8.81 4781 meet(c_0,join(a,b)) = join(a,b). [para(4777(a,1),4119(a,1,1))].
% 8.53/8.81 4801 meet(join(A,meet(A,B)),meet(A,B)) = meet(A,B). [para(50(a,1),4693(a,1,1,1))].
% 8.53/8.81 4883 join(c_0,join(a,b)) = c_0. [para(4779(a,1),4069(a,1,2))].
% 8.53/8.81 5066 meet(meet(join(A,B),B),meet(B,join(A,B))) = meet(B,join(A,B)). [para(277(a,1),1776(a,1,1,2))].
% 8.53/8.81 5246 meet(join(A,meet(join(A,B),join(C,A))),meet(join(A,B),join(C,A))) = join(A,meet(join(A,B),join(C,A))). [para(1661(a,1),4105(a,1,1,1)),rewrite([1661(12)])].
% 8.53/8.81 5253 join(A,meet(A,join(B,A))) = meet(A,join(B,A)). [para(4346(a,1),4105(a,1,1,1)),rewrite([4801(6),4346(5)]),flip(a)].
% 8.53/8.81 5392 join(meet(A,join(B,A)),A) = A. [para(4060(a,1),4348(a,1,2,1,1)),rewrite([4474(4)])].
% 8.53/8.81 5434 meet(A,join(B,A)) = A. [back_rewrite(4622),rewrite([5392(5),4346(3),3841(1),4118(3),4346(3),5253(3)])].
% 8.53/8.81 5435 meet(join(A,B),B) = B. [back_rewrite(5066),rewrite([5434(4),4482(3),5434(4)])].
% 8.53/8.81 5457 join(A,meet(join(A,B),join(C,A))) = meet(join(A,B),join(C,A)). [back_rewrite(5246),rewrite([5435(8)]),flip(a)].
% 8.53/8.81 5461 meet(join(A,B),join(join(A,B),A)) = join(A,B). [back_rewrite(4452),rewrite([5457(5)])].
% 8.53/8.81 5466 meet(A,join(A,B)) = A. [back_rewrite(4453),rewrite([5461(4),4060(5)])].
% 8.53/8.81 5527 meet(a,meet(c_0,join(A,a))) = a. [back_rewrite(4766),rewrite([5466(12),4060(13)])].
% 8.53/8.81 5565 join(join(A,B),A) = join(A,B). [para(5466(a,1),4069(a,1,2))].
% 8.53/8.81 5687 meet(a,meet(c_0,join(a,A))) = a. [para(5565(a,1),5527(a,1,2,2))].
% 8.53/8.81 5782 join(a,b) = c_0. [para(5687(a,1),3068(a,1,1,2)),rewrite([3(3),4781(6),4883(5),4781(6)]),flip(a)].
% 8.53/8.81 5783 $F # answer(prove_wal_axioms_4). [resolve(5782,a,4,a)].
% 8.53/8.81
% 8.53/8.81 % SZS output end Refutation
% 8.53/8.81 ============================== end of proof ==========================
% 8.53/8.81
% 8.53/8.81 ============================== STATISTICS ============================
% 8.53/8.81
% 8.53/8.81 Given=450. Generated=71348. Kept=5782. proofs=1.
% 8.53/8.81 Usable=75. Sos=338. Demods=418. Limbo=6, Disabled=5364. Hints=0.
% 8.53/8.81 Megabytes=16.92.
% 8.53/8.81 User_CPU=7.77, System_CPU=0.05, Wall_clock=8.
% 8.53/8.81
% 8.53/8.81 ============================== end of statistics =====================
% 8.53/8.81
% 8.53/8.81 ============================== end of search =========================
% 8.53/8.81
% 8.53/8.81 THEOREM PROVED
% 8.53/8.81 % SZS status Unsatisfiable
% 8.53/8.81
% 8.53/8.81 Exiting with 1 proof.
% 8.53/8.81
% 8.53/8.81 Process 2487 exit (max_proofs) Wed Jun 29 04:05:01 2022
% 8.53/8.81 Prover9 interrupted
%------------------------------------------------------------------------------