TSTP Solution File: LAT203-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT203-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n020.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 06:26:06 EDT 2022
% Result : Timeout 295.75s 296.01s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT203-1 : TPTP v8.1.0. Released v3.1.0.
% 0.14/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.34 % Computer : n020.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 : Thu Jun 30 08:15:00 EDT 2022
% 0.21/0.35 % CPUTime :
% 22.75/23.04 ============================== Prover9 ===============================
% 22.75/23.04 Prover9 (32) version 2009-11A, November 2009.
% 22.75/23.04 Process 13345 was started by sandbox2 on n020.cluster.edu,
% 22.75/23.04 Thu Jun 30 08:15:01 2022
% 22.75/23.04 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_13191_n020.cluster.edu".
% 22.75/23.04 ============================== end of head ===========================
% 22.75/23.04
% 22.75/23.04 ============================== INPUT =================================
% 22.75/23.04
% 22.75/23.04 % Reading from file /tmp/Prover9_13191_n020.cluster.edu
% 22.75/23.04
% 22.75/23.04 set(prolog_style_variables).
% 22.75/23.04 set(auto2).
% 22.75/23.04 % set(auto2) -> set(auto).
% 22.75/23.04 % set(auto) -> set(auto_inference).
% 22.75/23.04 % set(auto) -> set(auto_setup).
% 22.75/23.04 % set(auto_setup) -> set(predicate_elim).
% 22.75/23.04 % set(auto_setup) -> assign(eq_defs, unfold).
% 22.75/23.04 % set(auto) -> set(auto_limits).
% 22.75/23.04 % set(auto_limits) -> assign(max_weight, "100.000").
% 22.75/23.04 % set(auto_limits) -> assign(sos_limit, 20000).
% 22.75/23.04 % set(auto) -> set(auto_denials).
% 22.75/23.04 % set(auto) -> set(auto_process).
% 22.75/23.04 % set(auto2) -> assign(new_constants, 1).
% 22.75/23.04 % set(auto2) -> assign(fold_denial_max, 3).
% 22.75/23.04 % set(auto2) -> assign(max_weight, "200.000").
% 22.75/23.04 % set(auto2) -> assign(max_hours, 1).
% 22.75/23.04 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 22.75/23.04 % set(auto2) -> assign(max_seconds, 0).
% 22.75/23.04 % set(auto2) -> assign(max_minutes, 5).
% 22.75/23.04 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 22.75/23.04 % set(auto2) -> set(sort_initial_sos).
% 22.75/23.04 % set(auto2) -> assign(sos_limit, -1).
% 22.75/23.04 % set(auto2) -> assign(lrs_ticks, 3000).
% 22.75/23.04 % set(auto2) -> assign(max_megs, 400).
% 22.75/23.04 % set(auto2) -> assign(stats, some).
% 22.75/23.04 % set(auto2) -> clear(echo_input).
% 22.75/23.04 % set(auto2) -> set(quiet).
% 22.75/23.04 % set(auto2) -> clear(print_initial_clauses).
% 22.75/23.04 % set(auto2) -> clear(print_given).
% 22.75/23.04 assign(lrs_ticks,-1).
% 22.75/23.04 assign(sos_limit,10000).
% 22.75/23.04 assign(order,kbo).
% 22.75/23.04 set(lex_order_vars).
% 22.75/23.04 clear(print_given).
% 22.75/23.04
% 22.75/23.04 % formulas(sos). % not echoed (13 formulas)
% 22.75/23.04
% 22.75/23.04 ============================== end of input ==========================
% 22.75/23.04
% 22.75/23.04 % From the command line: assign(max_seconds, 300).
% 22.75/23.04
% 22.75/23.04 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 22.75/23.04
% 22.75/23.04 % Formulas that are not ordinary clauses:
% 22.75/23.04
% 22.75/23.04 ============================== end of process non-clausal formulas ===
% 22.75/23.04
% 22.75/23.04 ============================== PROCESS INITIAL CLAUSES ===============
% 22.75/23.04
% 22.75/23.04 ============================== PREDICATE ELIMINATION =================
% 22.75/23.04
% 22.75/23.04 ============================== end predicate elimination =============
% 22.75/23.04
% 22.75/23.04 Auto_denials:
% 22.75/23.04 % copying label prove_distributivity to answer in negative clause
% 22.75/23.04
% 22.75/23.04 Term ordering decisions:
% 22.75/23.04
% 22.75/23.04 % Assigning unary symbol complement kb_weight 0 and highest precedence (9).
% 22.75/23.04 Function symbol KB weights: one=1. zero=1. a=1. b=1. c=1. join=1. meet=1. complement=0.
% 22.75/23.04
% 22.75/23.04 ============================== end of process initial clauses ========
% 22.75/23.04
% 22.75/23.04 ============================== CLAUSES FOR SEARCH ====================
% 22.75/23.04
% 22.75/23.04 ============================== end of clauses for search =============
% 22.75/23.04
% 22.75/23.04 ============================== SEARCH ================================
% 22.75/23.04
% 22.75/23.04 % Starting search at 0.01 seconds.
% 22.75/23.04
% 22.75/23.04 Low Water (keep): wt=155.000, iters=3376
% 22.75/23.04
% 22.75/23.04 Low Water (keep): wt=151.000, iters=3350
% 22.75/23.04
% 22.75/23.04 Low Water (keep): wt=147.000, iters=3335
% 22.75/23.04
% 22.75/23.04 Low Water (keep): wt=143.000, iters=3352
% 22.75/23.04
% 22.75/23.04 Low Water (keep): wt=134.000, iters=3353
% 22.75/23.04
% 22.75/23.04 Low Water (keep): wt=123.000, iters=3447
% 22.75/23.04
% 22.75/23.04 Low Water (keep): wt=119.000, iters=3420
% 22.75/23.04
% 22.75/23.04 Low Water (keep): wt=117.000, iters=3395
% 22.75/23.04
% 22.75/23.04 Low Water (keep): wt=111.000, iters=3340
% 22.75/23.04
% 22.75/23.04 Low Water (keep): wt=101.000, iters=3395
% 22.75/23.04
% 22.75/23.04 Low Water (keep): wt=89.000, iters=3336
% 22.75/23.04
% 22.75/23.04 Low Water (keep): wt=86.000, iters=3403
% 22.75/23.04
% 22.75/23.04 Low Water (keep): wt=83.000, iters=3336
% 22.75/23.04
% 22.75/23.04 Low Water (keep): wt=82.000, iters=3346
% 22.75/23.04
% 22.75/23.04 Low Water (keep): wt=81.000, iters=3443
% 22.75/23.04
% 22.75/23.04 Low Water (keep): wt=79.000, iters=3353
% 22.75/23.04
% 22.75/23.04 Low Water (keep): wt=77.000, iters=3357
% 22.75/23.04
% 22.75/23.04 Low Water (keep): wt=75.000, iters=3347
% 22.75/23.04
% 22.75/23.04 Low Water (keep): wt=74.000, iters=3381
% 22.75/23.04
% 22.75/23.04 Low Water (keep): wt=73.000, iters=3343
% 22.75/23.04
% 22.75/23.04 Low Water (keep): wt=71.000, iters=3368
% 22.75/23.04
% 22.75/23.04 Low Water (keep): wt=70.000, iters=3388
% 22.75/23.04
% 22.75/23.04 Low Water (keep): wt=69.000, iters=3357
% 22.75/23.04
% 22.75/23.04 Low Water (keep): wt=68.000, iters=3335
% 22.75/23.04
% 22.75/23.04 Low Water (keep): wt=67.000, iters=3334
% 22.75/23.04
% 22.75/23.04 Low Water (keep): wt=66.000, iters=3370
% 295.75/296.01
% 295.75/296.01 Low Water (keep): wt=64.000, iters=3360
% 295.75/296.01
% 295.75/296.01 Low Water (keep): wt=63.000, iters=3361
% 295.75/296.01
% 295.75/296.01 Low Water (keep): wt=62.000, iters=3404
% 295.75/296.01
% 295.75/296.01 Low Water (keep): wt=59.000, iters=3380
% 295.75/296.01
% 295.75/296.01 Low Water (keep): wt=58.000, iters=3336
% 295.75/296.01
% 295.75/296.01 Low Water (keep): wt=56.000, iters=3345
% 295.75/296.01
% 295.75/296.01 Low Water (keep): wt=55.000, iters=3362
% 295.75/296.01
% 295.75/296.01 Low Water (keep): wt=54.000, iters=3377
% 295.75/296.01
% 295.75/296.01 Low Water (keep): wt=53.000, iters=3348
% 295.75/296.01
% 295.75/296.01 Low Water (keep): wt=52.000, iters=3385
% 295.75/296.01
% 295.75/296.01 Low Water (keep): wt=51.000, iters=3346
% 295.75/296.01
% 295.75/296.01 Low Water (keep): wt=50.000, iters=3396
% 295.75/296.01
% 295.75/296.01 Low Water (keep): wt=48.000, iters=3351
% 295.75/296.01
% 295.75/296.01 Low Water (keep): wt=47.000, iters=3423
% 295.75/296.01
% 295.75/296.01 Low Water (keep): wt=46.000, iters=3416
% 295.75/296.01
% 295.75/296.01 Low Water (displace): id=15762, wt=22.000
% 295.75/296.01
% 295.75/296.01 Low Water (displace): id=15835, wt=18.000
% 295.75/296.01
% 295.75/296.01 Low Water (displace): id=15858, wt=17.000
% 295.75/296.01
% 295.75/296.01 Low Water (displace): id=15863, wt=16.000
% 295.75/296.01
% 295.75/296.01 Low Water (keep): wt=44.000, iters=3365
% 295.75/296.01
% 295.75/296.01 Low Water (keep): wt=42.000, iters=3333
% 295.75/296.01
% 295.75/296.01 Low Water (displace): id=16768, wt=15.000
% 295.75/296.01
% 295.75/296.01 Low Water (keep): wt=41.000, iters=3359
% 295.75/296.01
% 295.75/296.01 Low Water (keep): wt=40.000, iters=3336
% 295.75/296.01
% 295.75/296.01 Low Water (keep): wt=39.000, iters=3343
% 295.75/296.01
% 295.75/296.01 Low Water (keep): wt=38.000, iters=3386
% 295.75/296.01
% 295.75/296.01 Low Water (keep): wt=37.000, iters=3343
% 295.75/296.01
% 295.75/296.01 Low Water (keep): wt=36.000, iters=3334
% 295.75/296.01
% 295.75/296.01 Low Water (displace): id=19394, wt=14.000
% 295.75/296.01
% 295.75/296.01 Low Water (keep): wt=35.000, iters=3353
% 295.75/296.01
% 295.75/296.01 Low Water (keep): wt=34.000, iters=3335
% 295.75/296.01
% 295.75/296.01 Low Water (keep): wt=33.000, iters=3335
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% 295.75/296.01 Low Water (keep): wt=32.000, iters=3348
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% 295.75/296.01 Low Water (keep): wt=31.000, iters=3368
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% 295.75/296.01 Low Water (keep): wt=30.000, iters=3365
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% 295.75/296.01 Low Water (keep): wt=29.000, iters=3338
% 295.75/296.01
% 295.75/296.01 Low Water (keep): wt=28.000, iters=3351
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% 295.75/296.01 Low Water (keep): wt=27.000, iters=3361
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% 295.75/296.01 Low Water (keep): wt=26.000, iters=3345
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% 295.75/296.01 Low Water (keep): wt=25.000, iters=3337
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% 295.75/296.01 Low Water (keep): wt=24.000, iters=3336
% 295.75/296.01
% 295.75/296.01 Low Water (keep): wt=23.000, iters=3336
% 295.75/296.01
% 295.75/296.01 Low Water (keep): wt=22.000, iters=3348
% 295.75/296.01
% 295.75/296.01 Low Water (keep): wt=21.000, iters=3350
% 295.75/296.01
% 295.75/296.01 Low Water (keep): wt=20.000, iters=3333
% 295.75/296.01
% 295.75/296.01 Low Water (displace): id=39854, wt=13.000
% 295.75/296.01
% 295.75/296.01 Low Water (displace): id=40196, wt=12.000
% 295.75/296.01
% 295.75/296.01 Low Water (displace): id=40225, wt=11.000
% 295.75/296.01
% 295.75/296.01 ============================== PROOF =================================
% 295.75/296.01 % SZS status Unsatisfiable
% 295.75/296.01 % SZS output start Refutation
% 295.75/296.01
% 295.75/296.01 % Proof 1 at 292.23 (+ 2.76) seconds: prove_distributivity.
% 295.75/296.01 % Length of proof is 354.
% 295.75/296.01 % Level of proof is 75.
% 295.75/296.01 % Maximum clause weight is 69.000.
% 295.75/296.01 % Given clauses 2490.
% 295.75/296.01
% 295.75/296.01 1 meet(A,A) = A # label(idempotence_of_meet) # label(axiom). [assumption].
% 295.75/296.01 2 join(A,A) = A # label(idempotence_of_join) # label(axiom). [assumption].
% 295.75/296.01 3 join(A,complement(A)) = one # label(complement_join) # label(axiom). [assumption].
% 295.75/296.01 4 meet(A,complement(A)) = zero # label(complement_meet) # label(axiom). [assumption].
% 295.75/296.01 5 meet(A,join(A,B)) = A # label(absorption1) # label(axiom). [assumption].
% 295.75/296.01 6 join(A,meet(A,B)) = A # label(absorption2) # label(axiom). [assumption].
% 295.75/296.01 7 meet(A,B) = meet(B,A) # label(commutativity_of_meet) # label(axiom). [assumption].
% 295.75/296.01 8 join(A,B) = join(B,A) # label(commutativity_of_join) # label(axiom). [assumption].
% 295.75/296.01 9 meet(meet(A,B),C) = meet(A,meet(B,C)) # label(associativity_of_meet) # label(axiom). [assumption].
% 295.75/296.01 10 meet(A,meet(B,C)) = meet(C,meet(A,B)). [copy(9),rewrite([7(2)]),flip(a)].
% 295.75/296.01 11 join(join(A,B),C) = join(A,join(B,C)) # label(associativity_of_join) # label(axiom). [assumption].
% 295.75/296.01 12 join(A,join(B,C)) = join(C,join(A,B)). [copy(11),rewrite([8(2)]),flip(a)].
% 295.75/296.01 13 meet(A,join(B,meet(A,join(B,C)))) = meet(A,join(B,meet(join(A,B),join(C,meet(A,B))))) # label(equation_H57) # label(axiom). [assumption].
% 295.75/296.01 14 meet(A,join(B,meet(join(A,B),join(C,meet(A,B))))) = meet(A,join(B,meet(A,join(B,C)))). [copy(13),flip(a)].
% 295.75/296.01 15 meet(a,join(b,c)) != join(meet(a,b),meet(a,c)) # label(prove_distributivity) # label(negated_conjecture) # answer(prove_distributivity). [assumption].
% 295.75/296.01 16 join(meet(a,b),meet(a,c)) != meet(a,join(b,c)) # answer(prove_distributivity). [copy(15),flip(a)].
% 295.75/296.01 17 meet(A,B) != zero | join(A,B) != one | complement(A) = B # label(meet_join_complement) # label(axiom). [assumption].
% 295.75/296.01 18 meet(A,one) = A. [para(3(a,1),5(a,1,2))].
% 295.75/296.01 19 join(A,zero) = A. [para(4(a,1),6(a,1,2))].
% 295.75/296.01 20 meet(A,meet(A,B)) = meet(A,B). [para(10(a,1),1(a,1)),rewrite([7(1),7(2),10(2,R),1(1),7(3)])].
% 295.75/296.01 21 meet(A,meet(B,complement(A))) = meet(B,zero). [para(4(a,1),10(a,2,2)),rewrite([7(2)])].
% 295.75/296.01 22 meet(A,meet(B,join(A,C))) = meet(A,B). [para(5(a,1),10(a,2,2)),rewrite([7(2),7(4)])].
% 295.75/296.01 23 join(A,join(A,B)) = join(A,B). [para(12(a,1),2(a,1)),rewrite([8(1),8(2),12(2,R),2(1),8(3)])].
% 295.75/296.01 24 join(A,join(B,complement(A))) = join(B,one). [para(3(a,1),12(a,2,2)),rewrite([8(2)])].
% 295.75/296.01 25 join(A,join(B,meet(A,C))) = join(A,B). [para(6(a,1),12(a,2,2)),rewrite([8(2),8(4)])].
% 295.75/296.01 26 meet(A,join(B,meet(A,join(B,meet(A,B))))) = meet(A,join(B,meet(A,B))). [para(2(a,1),14(a,1,2,2,2)),rewrite([10(3),7(2),5(2),7(1)]),flip(a)].
% 295.75/296.01 27 meet(A,join(complement(A),meet(A,join(B,complement(A))))) = meet(A,join(B,complement(A))). [para(3(a,1),14(a,1,2,2,1)),rewrite([4(4),19(4),7(3),18(3),8(2),8(6)]),flip(a)].
% 295.75/296.01 28 meet(A,join(B,meet(join(B,A),join(C,meet(B,A))))) = meet(A,join(B,meet(A,join(B,C)))). [para(14(a,1),7(a,2)),rewrite([8(1),7(2),7(6)])].
% 295.75/296.01 29 meet(A,meet(B,join(C,meet(join(A,C),join(D,meet(A,C)))))) = meet(A,meet(B,join(C,meet(A,join(C,D))))). [para(14(a,1),10(a,2,2)),rewrite([7(6),10(12,R),7(11)])].
% 295.75/296.01 30 meet(A,join(join(B,meet(join(A,B),join(C,meet(A,B)))),meet(join(A,join(B,meet(join(A,B),join(C,meet(A,B))))),join(D,meet(A,join(B,meet(A,join(B,C)))))))) = meet(A,join(join(B,meet(join(A,B),join(C,meet(A,B)))),meet(A,join(B,join(D,meet(join(A,B),join(C,meet(A,B)))))))). [para(14(a,1),14(a,1,2,2,2,2)),rewrite([8(30),12(30,R),8(29)])].
% 295.75/296.01 34 meet(A,B) != zero | join(A,B) != one | complement(B) = A. [para(7(a,1),17(a,1)),rewrite([8(4)])].
% 295.75/296.01 35 meet(A,meet(B,C)) != zero | join(B,meet(A,C)) != one | complement(B) = meet(A,C). [para(10(a,1),17(a,1)),rewrite([7(5),7(10)])].
% 295.75/296.01 36 meet(A,meet(B,C)) != zero | join(C,meet(A,B)) != one | complement(C) = meet(A,B). [para(10(a,2),17(a,1))].
% 295.75/296.01 37 meet(A,join(B,meet(A,join(B,C)))) != zero | join(A,join(B,meet(join(A,B),join(C,meet(A,B))))) != one | join(B,meet(join(A,B),join(C,meet(A,B)))) = complement(A). [para(14(a,1),17(a,1)),flip(c)].
% 295.75/296.01 41 meet(A,zero) = zero. [para(4(a,1),20(a,1,2)),rewrite([4(4)])].
% 295.75/296.01 42 meet(A,B) != zero | one != A | meet(A,B) = complement(A). [para(20(a,1),17(a,1)),rewrite([6(5)]),flip(b),flip(c)].
% 295.75/296.01 43 meet(A,meet(B,complement(A))) = zero. [back_rewrite(21),rewrite([41(5)])].
% 295.75/296.01 44 complement(one) = zero. [hyper(17,a,41,a,b,19,a)].
% 295.75/296.01 45 one != A | complement(A) = zero. [para(41(a,1),17(a,1)),rewrite([19(5)]),flip(b),xx(a)].
% 295.75/296.01 46 meet(A,meet(B,meet(C,join(A,D)))) = meet(A,meet(B,C)). [para(22(a,1),10(a,2,2)),rewrite([7(3),10(3,R),7(2),10(6),7(5),10(6,R),7(5)])].
% 295.75/296.01 47 meet(A,join(meet(B,join(A,C)),meet(join(A,meet(B,join(A,C))),join(D,meet(A,B))))) = meet(A,join(meet(B,join(A,C)),meet(A,join(D,meet(B,join(A,C)))))). [para(22(a,1),14(a,1,2,2,2,2)),rewrite([8(15)])].
% 295.75/296.01 49 complement(join(A,one)) = zero. [hyper(45,a,6,a(flip)),rewrite([7(3),18(3),8(2)])].
% 295.75/296.01 51 join(A,one) = one. [para(49(a,1),3(a,1,2)),rewrite([8(4),12(4),8(3),19(3),8(2)])].
% 295.75/296.01 53 join(A,join(B,complement(A))) = one. [back_rewrite(24),rewrite([51(5)])].
% 295.75/296.01 54 complement(zero) = one. [hyper(17,a,18,a,b,51,a)].
% 295.75/296.01 55 meet(A,meet(B,meet(C,complement(A)))) = zero. [para(43(a,1),10(a,2,2)),rewrite([7(3),10(3,R),7(2),41(6)])].
% 295.75/296.01 56 meet(A,join(meet(B,complement(A)),meet(C,join(A,meet(B,complement(A)))))) = meet(A,join(meet(B,complement(A)),meet(A,join(C,meet(B,complement(A)))))). [para(43(a,1),14(a,1,2,2,2,2)),rewrite([19(7),7(6),8(13)])].
% 295.75/296.01 60 join(A,join(B,join(C,meet(A,D)))) = join(A,join(B,C)). [para(25(a,1),12(a,2,2)),rewrite([8(3),12(3,R),8(2),12(6),8(5),12(6,R),8(5)])].
% 295.75/296.01 61 meet(A,join(join(B,meet(A,C)),meet(join(A,B),join(D,meet(A,join(B,meet(A,C))))))) = meet(A,join(join(B,meet(A,C)),meet(A,join(B,join(D,meet(A,C)))))). [para(25(a,1),14(a,1,2,2,1)),rewrite([8(15),12(15,R),8(14)])].
% 295.75/296.01 62 meet(A,meet(B,meet(C,meet(D,complement(A))))) = zero. [para(55(a,1),10(a,2,2)),rewrite([7(4),10(4,R),7(3),10(3,R),7(2),41(7)])].
% 295.75/296.01 73 meet(A,join(join(B,meet(A,join(B,meet(A,B)))),meet(join(A,B),join(C,meet(A,join(B,meet(A,B))))))) = meet(A,join(join(B,meet(A,join(B,meet(A,B)))),meet(A,join(B,join(C,meet(A,join(B,meet(A,B)))))))). [para(26(a,1),14(a,1,2,2,2,2)),rewrite([25(9),8(21),12(21,R),8(20)])].
% 295.75/296.01 81 complement(complement(A)) = A. [hyper(34,a,4,a,b,3,a)].
% 295.75/296.01 84 meet(A,meet(B,C)) != zero | join(C,meet(A,B)) != one | complement(meet(A,B)) = C. [para(10(a,2),34(a,1))].
% 295.75/296.01 86 meet(A,B) != zero | one != A | complement(meet(A,B)) = A. [para(20(a,1),34(a,1)),rewrite([6(5)]),flip(b)].
% 295.75/296.01 93 meet(A,meet(B,C)) != zero | one != B | meet(A,meet(B,C)) = complement(B). [para(10(a,1),42(a,1)),rewrite([7(7),10(8,R),7(7)])].
% 295.75/296.01 94 meet(A,meet(B,C)) != zero | one != C | meet(A,meet(B,C)) = complement(C). [para(10(a,2),42(a,1)),rewrite([10(8),7(7),10(8,R),7(7)])].
% 295.75/296.01 98 meet(A,join(complement(A),meet(one,complement(A)))) = zero. [para(27(a,1),14(a,2)),rewrite([3(3),4(5),19(5),2(9),4(8)])].
% 295.75/296.01 100 meet(A,meet(complement(A),join(B,complement(A)))) = zero. [para(27(a,1),22(a,1,2)),rewrite([10(5,R),7(4),7(7),4(7)])].
% 295.75/296.01 102 meet(complement(A),join(A,meet(complement(A),join(A,B)))) = meet(complement(A),join(A,B)). [para(81(a,1),27(a,1,2,1)),rewrite([81(4),8(3),81(9),8(8)])].
% 295.75/296.01 106 join(A,join(complement(A),meet(one,complement(A)))) != one | join(complement(A),meet(one,complement(A))) = complement(A). [para(98(a,1),17(a,1)),flip(c),xx(a)].
% 295.75/296.01 109 meet(zero,join(A,complement(B))) = zero. [para(100(a,1),10(a,1)),rewrite([4(5),7(5)]),flip(a)].
% 295.75/296.01 118 meet(zero,join(A,B)) = zero. [para(81(a,1),109(a,1,2,2))].
% 295.75/296.01 121 meet(meet(A,B),join(A,meet(meet(A,B),join(A,C)))) = meet(A,B). [para(6(a,1),28(a,1,2,2,1)),rewrite([20(3),6(5),7(2),20(2)]),flip(a)].
% 295.75/296.01 122 meet(A,join(B,meet(A,B))) = meet(A,B). [para(6(a,1),28(a,1,2,2,2)),rewrite([8(1),7(2),6(3),2(2)]),flip(a)].
% 295.75/296.01 123 meet(meet(A,B),join(C,meet(join(C,meet(A,B)),join(D,meet(A,meet(B,C)))))) = meet(meet(A,B),join(C,meet(meet(A,B),join(C,D)))). [para(10(a,1),28(a,1,2,2,2,2)),rewrite([7(4),10(5,R),7(4)])].
% 295.75/296.01 140 meet(A,join(join(B,meet(A,B)),meet(join(A,B),join(C,meet(A,B))))) = meet(A,join(join(B,meet(A,B)),meet(A,join(B,join(C,meet(A,B)))))). [back_rewrite(73),rewrite([122(3),122(6),122(11),122(13)])].
% 295.75/296.01 149 meet(A,meet(B,join(meet(C,join(A,D)),meet(join(A,meet(C,join(A,D))),join(E,meet(A,C)))))) = meet(A,meet(B,join(meet(C,join(A,D)),meet(A,join(E,meet(C,join(A,D))))))). [para(22(a,1),29(a,1,2,2,2,2,2)),rewrite([8(16)])].
% 295.75/296.01 150 meet(A,meet(B,join(meet(C,complement(A)),meet(D,join(A,meet(C,complement(A))))))) = meet(A,meet(B,join(meet(C,complement(A)),meet(A,join(D,meet(C,complement(A))))))). [para(43(a,1),29(a,1,2,2,2,2,2)),rewrite([19(7),7(6),8(14)])].
% 295.75/296.01 165 meet(A,meet(B,join(C,meet(A,C)))) = meet(A,meet(C,B)). [para(122(a,1),10(a,2,2)),rewrite([7(3),10(6),7(5),10(6,R),7(5)])].
% 295.75/296.01 167 meet(A,join(meet(A,B),meet(B,join(A,C)))) = meet(A,B). [para(22(a,1),122(a,1,2,2)),rewrite([8(4),22(8)])].
% 295.75/296.01 168 meet(A,join(zero,meet(B,complement(A)))) = zero. [para(43(a,1),122(a,1,2,2)),rewrite([8(4),43(8)])].
% 295.75/296.01 175 meet(A,join(zero,complement(A))) = zero. [para(1(a,1),168(a,1,2,2))].
% 295.75/296.01 176 meet(A,meet(B,join(zero,meet(C,complement(A))))) = zero. [para(168(a,1),10(a,2,2)),rewrite([7(5),41(8)])].
% 295.75/296.01 180 meet(complement(A),join(zero,meet(A,B))) = zero. [para(81(a,1),168(a,1,2,2,2)),rewrite([7(3)])].
% 295.75/296.01 184 join(zero,complement(A)) = complement(A). [hyper(17,a,175,a,b,53,a),flip(a)].
% 295.75/296.01 185 meet(A,join(join(B,meet(join(A,B),join(B,meet(A,B)))),meet(join(A,join(B,meet(join(A,B),join(B,meet(A,B))))),join(C,meet(A,B))))) = meet(A,join(join(B,meet(join(A,B),join(B,meet(A,B)))),meet(A,join(B,join(C,meet(join(A,B),join(B,meet(A,B)))))))). [para(2(a,1),30(a,1,2,2,2,2,2,2,2)),rewrite([122(14)])].
% 295.75/296.01 191 meet(A,join(join(B,meet(join(B,A),join(C,meet(B,A)))),meet(join(B,join(A,meet(join(B,A),join(C,meet(B,A))))),join(D,meet(A,join(B,meet(A,join(B,C)))))))) = meet(A,join(join(B,meet(join(B,A),join(C,meet(B,A)))),meet(A,join(B,join(D,meet(join(B,A),join(C,meet(B,A)))))))). [para(30(a,1),7(a,2)),rewrite([8(1),7(2),8(6),7(7),12(11,R),8(10),7(19),8(20),7(21),8(25),7(26)])].
% 295.75/296.01 249 meet(A,join(zero,meet(B,join(zero,meet(C,complement(A)))))) = zero. [para(176(a,1),122(a,1,2,2)),rewrite([8(7),176(14)])].
% 295.75/296.01 421 meet(A,join(B,complement(A))) != zero | join(B,complement(A)) = complement(A). [para(3(a,1),37(b,1,2,2,1)),rewrite([8(3),27(6),4(9),19(9),7(8),18(8),8(7),53(8),3(11),4(12),19(12),7(11),18(11),8(10)]),xx(b)].
% 295.75/296.01 455 meet(A,B) != zero | one != B | complement(meet(A,B)) = B. [para(7(a,1),86(a,1)),rewrite([7(6)])].
% 295.75/296.01 459 meet(A,meet(B,meet(C,meet(D,join(A,E))))) = meet(A,meet(B,meet(C,D))). [para(46(a,1),10(a,2,2)),rewrite([7(4),10(4,R),7(3),10(3,R),7(2),10(8,R),7(7),10(7),7(6),10(7,R),7(6)])].
% 295.75/296.01 583 meet(complement(A),join(zero,meet(B,join(zero,meet(A,C))))) = zero. [para(81(a,1),249(a,1,2,2,2,2,2)),rewrite([7(4)])].
% 295.75/296.01 618 join(A,join(B,join(C,join(D,meet(A,E))))) = join(A,join(B,join(C,D))). [para(60(a,1),12(a,2,2)),rewrite([8(4),12(4,R),8(3),12(3,R),8(2),12(8,R),8(7),12(7),8(6),12(7,R),8(6)])].
% 295.75/296.01 627 meet(A,join(meet(B,complement(A)),meet(B,join(A,meet(B,complement(A)))))) = meet(A,join(meet(A,B),meet(B,complement(A)))). [para(6(a,1),56(a,2,2,2,2)),rewrite([8(12)])].
% 295.75/296.01 887 meet(A,join(join(B,meet(A,C)),meet(A,join(B,join(join(A,B),meet(A,C)))))) = A. [para(5(a,1),61(a,1,2,2)),rewrite([8(4),12(4,R),12(3),8(2),6(2),8(1),12(2,R),2(1),5(2)]),flip(a)].
% 295.75/296.01 1125 meet(complement(A),join(A,B)) != zero | join(A,B) = A. [para(81(a,1),421(a,1,2,2)),rewrite([8(2),81(7),8(6),81(8)])].
% 295.75/296.01 1534 meet(A,meet(B,C)) != zero | join(meet(B,C),meet(A,B)) != one | complement(meet(A,B)) = meet(B,C). [para(20(a,1),84(a,1,2))].
% 295.75/296.01 1816 meet(meet(A,B),join(B,meet(meet(A,B),join(B,C)))) = meet(A,B). [para(7(a,1),121(a,1,1)),rewrite([7(2),7(7)])].
% 295.75/296.01 1825 meet(complement(meet(A,B)),join(zero,meet(A,B))) = zero. [para(121(a,1),180(a,1,2,2))].
% 295.75/296.01 1834 meet(complement(meet(A,B)),join(zero,meet(C,join(zero,meet(A,B))))) = zero. [para(121(a,1),583(a,1,2,2,2,2))].
% 295.75/296.01 1849 join(zero,meet(A,B)) = meet(A,B). [para(1825(a,1),17(a,1)),rewrite([12(9),8(8),184(8),3(7),81(9)]),flip(c),xx(a),xx(b)].
% 295.75/296.01 1863 meet(A,meet(meet(B,C),complement(meet(A,B)))) = zero. [back_rewrite(1834),rewrite([1849(6),10(5),7(4),10(5,R),7(4),1849(6),10(5,R)])].
% 295.75/296.01 2054 meet(A,meet(meet(B,C),complement(meet(B,A)))) = zero. [para(1863(a,1),7(a,1)),rewrite([7(3),7(6)]),flip(a)].
% 295.75/296.01 2055 meet(A,meet(meet(B,C),complement(meet(A,C)))) = zero. [para(7(a,1),1863(a,1,2,1))].
% 295.75/296.01 2139 meet(A,meet(B,complement(meet(A,join(B,C))))) = zero. [para(5(a,1),2055(a,1,2,1))].
% 295.75/296.01 2231 meet(A,meet(B,meet(C,D))) != zero | one != C | meet(A,meet(B,meet(C,D))) = complement(C). [para(10(a,1),93(a,1,2)),rewrite([7(8),10(9,R),7(8)])].
% 295.75/296.01 2240 meet(meet(A,B),complement(meet(A,join(B,C)))) = zero. [para(2139(a,1),10(a,1)),rewrite([7(6)]),flip(a)].
% 295.75/296.01 2263 meet(A,complement(join(A,B))) = zero. [para(1(a,1),2240(a,1,2,1)),rewrite([7(2),5(2)])].
% 295.75/296.01 2264 meet(meet(A,B),complement(meet(B,join(A,C)))) = zero. [para(7(a,1),2240(a,1,1))].
% 295.75/296.01 2269 meet(meet(A,B),complement(meet(A,join(C,meet(A,B))))) = zero. [para(20(a,1),2240(a,1,1)),rewrite([8(3)])].
% 295.75/296.01 2304 meet(A,meet(meet(B,C),complement(meet(A,join(B,D))))) = zero. [para(2240(a,1),2054(a,1,2,2,1)),rewrite([7(5),10(5),7(4),10(5,R),7(4),54(7),7(7),10(7,R),7(6),10(6),7(5),18(5),7(4),10(6,R)])].
% 295.75/296.01 2305 meet(A,meet(B,complement(join(A,C)))) = zero. [para(2263(a,1),10(a,2,2)),rewrite([7(3),41(6)])].
% 295.75/296.01 2308 meet(A,meet(B,join(complement(join(A,C)),meet(D,join(A,complement(join(A,C))))))) = meet(A,meet(B,join(complement(join(A,C)),meet(A,join(D,complement(join(A,C))))))). [para(2263(a,1),29(a,1,2,2,2,2,2)),rewrite([19(7),7(6),8(14)])].
% 295.75/296.01 2319 meet(A,B) != zero | join(B,C) != one | complement(join(B,C)) = meet(A,B). [para(5(a,1),94(a,1,2)),rewrite([5(8)]),flip(b),flip(c)].
% 295.75/296.01 2378 meet(A,complement(meet(join(A,B),join(A,C)))) = zero. [para(5(a,1),2264(a,1,1))].
% 295.75/296.01 2487 join(A,complement(meet(join(A,B),join(A,C)))) != one | meet(join(A,B),join(A,C)) = A. [para(2378(a,1),34(a,1)),rewrite([81(15)]),xx(a)].
% 295.75/296.01 2649 meet(complement(A),join(meet(complement(A),join(A,B)),meet(join(A,meet(complement(A),join(A,B))),join(C,complement(A))))) = meet(complement(A),join(A,B)). [para(102(a,1),167(a,1,2,1)),rewrite([8(10),102(19)])].
% 295.75/296.01 2882 join(complement(A),meet(one,complement(A))) = complement(A). [para(7(a,1),106(a,1,2,2)),rewrite([18(4),2(3),3(2)]),xx(a)].
% 295.75/296.01 2893 join(complement(A),join(meet(one,complement(A)),meet(B,complement(A)))) = complement(A). [para(2882(a,1),25(a,2)),rewrite([7(6)])].
% 295.75/296.01 3408 meet(meet(A,B),join(C,meet(meet(A,B),join(C,D)))) = meet(meet(A,B),join(C,meet(A,meet(B,join(C,D))))). [para(7(a,1),123(a,2,2,2)),rewrite([123(9),10(10),7(9),10(10,R),7(9)])].
% 295.75/296.01 3632 meet(meet(A,B),join(B,meet(A,B))) = meet(A,B). [back_rewrite(1816),rewrite([3408(6),5(3)])].
% 295.75/296.01 3680 meet(complement(A),meet(one,complement(A))) = meet(one,complement(A)). [para(2882(a,1),3632(a,1,2)),rewrite([7(5)])].
% 295.75/296.01 3700 meet(one,complement(A)) = complement(A). [para(7(a,1),3680(a,1,2)),rewrite([18(4),1(3)]),flip(a)].
% 295.75/296.01 3701 meet(complement(A),join(B,complement(A))) = complement(A). [para(3680(a,1),22(a,2)),rewrite([3700(4),8(4),20(6),3700(7)])].
% 295.75/296.01 3715 join(complement(A),meet(B,complement(A))) = complement(A). [back_rewrite(2893),rewrite([3700(4),23(6)])].
% 295.75/296.01 3721 join(one,complement(A)) = one. [para(3700(a,1),6(a,1,2))].
% 295.75/296.01 3823 meet(complement(A),meet(join(B,complement(A)),join(C,complement(A)))) = complement(A). [para(3701(a,1),22(a,2)),rewrite([8(5)])].
% 295.75/296.01 4851 meet(A,join(B,join(join(A,B),meet(A,B)))) = A. [para(5(a,1),140(a,1,2,2)),rewrite([8(4),12(4,R),8(3),887(14)])].
% 295.75/296.01 4938 meet(A,join(B,A)) = A. [para(4851(a,1),7(a,2)),rewrite([8(1),7(2),25(4),23(2),7(2)])].
% 295.75/296.01 5011 meet(join(A,B),join(A,join(B,C))) = join(A,B). [para(12(a,1),4938(a,1,2)),rewrite([8(2),12(3,R),8(2)])].
% 295.75/296.01 5012 meet(one,join(A,complement(B))) = join(A,complement(B)). [para(53(a,1),4938(a,1,2)),rewrite([7(4)])].
% 295.75/296.01 5013 meet(join(A,B),join(A,meet(B,C))) = join(A,meet(B,C)). [para(25(a,1),4938(a,1,2)),rewrite([8(3),7(4)])].
% 295.75/296.01 5078 meet(one,join(A,B)) = join(A,B). [para(81(a,1),5012(a,1,2,2)),rewrite([81(5)])].
% 295.75/296.01 5705 meet(join(A,B),complement(join(A,join(B,C)))) = zero. [para(5078(a,1),2240(a,1,1)),rewrite([8(4),12(4),8(3),12(4,R),8(3),5078(5)])].
% 295.75/296.01 5707 meet(one,meet(meet(A,B),complement(join(A,C)))) = zero. [para(5078(a,1),2304(a,1,2,2,1))].
% 295.75/296.01 5891 meet(meet(A,B),complement(join(A,C))) = zero. [para(5707(a,1),10(a,2)),rewrite([7(5),3700(5)])].
% 295.75/296.01 5900 meet(meet(A,B),complement(join(B,C))) = zero. [para(7(a,1),5891(a,1,1))].
% 295.75/296.01 5923 meet(meet(A,meet(B,C)),complement(join(D,meet(A,C)))) = zero. [para(10(a,1),5900(a,1,1)),rewrite([7(3),8(4)])].
% 295.75/296.01 6692 meet(meet(A,B),complement(join(C,meet(A,join(B,D))))) = zero. [para(5(a,1),5923(a,1,1,2))].
% 295.75/296.01 6991 meet(A,meet(meet(A,join(B,meet(C,complement(A)))),join(meet(C,complement(A)),meet(B,join(A,meet(C,complement(A))))))) = meet(A,join(B,meet(C,complement(A)))). [para(4938(a,1),150(a,2,2)),rewrite([20(18)])].
% 295.75/296.01 8912 meet(meet(A,B),complement(join(C,meet(A,join(D,meet(A,B)))))) = zero. [para(20(a,1),6692(a,1,1)),rewrite([8(3)])].
% 295.75/296.01 9603 meet(A,join(join(B,meet(join(A,B),join(B,meet(A,B)))),meet(A,join(B,join(C,meet(join(A,B),join(B,meet(A,B)))))))) = meet(A,join(join(B,meet(join(A,B),join(B,meet(A,B)))),meet(join(A,B),join(C,meet(A,B))))). [para(12(a,1),185(a,1,2,2,1)),rewrite([8(11),6(11)]),flip(a)].
% 295.75/296.01 9639 meet(A,join(join(B,meet(join(A,B),join(B,meet(A,B)))),meet(join(A,join(B,meet(join(A,B),join(B,meet(A,B))))),join(C,meet(A,B))))) = meet(A,join(join(B,meet(join(A,B),join(B,meet(A,B)))),meet(join(A,B),join(C,meet(A,B))))). [back_rewrite(185),rewrite([9603(30)])].
% 295.75/296.01 10352 meet(A,join(join(B,meet(join(A,B),join(B,meet(A,B)))),meet(join(A,B),join(C,meet(A,B))))) = meet(A,join(B,meet(join(A,join(B,meet(join(A,B),join(B,meet(A,B))))),join(C,meet(A,B))))). [para(6(a,1),191(a,1,2,1,2,2)),rewrite([8(1),7(2),4938(2),2(1),8(1),7(2),12(6,R),8(5),2(7),122(9),8(12),7(13),8(17),7(18),9603(25)]),flip(a)].
% 295.75/296.01 10353 meet(A,join(B,meet(join(A,join(B,meet(join(A,B),join(B,meet(A,B))))),join(C,meet(A,B))))) = meet(A,join(B,meet(A,join(B,join(C,meet(join(A,B),join(B,meet(A,B)))))))). [para(6(a,1),191(a,2,2,1,2,2)),rewrite([8(1),7(2),8(6),7(7),12(11,R),8(10),2(12),122(14),9639(16),10352(11),8(12),7(13),4938(13),2(12),8(12),7(13)])].
% 295.75/296.01 10783 meet(join(A,B),join(B,meet(A,C))) = join(B,meet(A,C)). [para(8(a,1),5013(a,1,1))].
% 295.75/296.01 10788 meet(join(A,B),join(A,meet(C,join(A,B)))) = join(A,meet(C,join(A,B))). [para(23(a,1),5013(a,1,1)),rewrite([7(3),7(7)])].
% 295.75/296.01 10795 join(A,meet(B,join(A,join(B,C)))) = join(A,B). [para(5013(a,1),47(a,2,2,2)),rewrite([8(3),12(3),8(2),12(3,R),8(2),8(7),12(7),8(6),12(7,R),8(6),7(11),4938(11),7(11),5(11),8(6),5(7),8(4),12(4),8(3),12(4,R),8(3),8(7),12(7),8(6),12(7,R),8(6),12(10,R),2(9),5013(7)]),flip(a)].
% 295.75/296.01 10818 join(one,meet(A,complement(B))) = one. [para(3721(a,1),5013(a,1,1)),rewrite([7(4),5(6),7(4)]),flip(a)].
% 295.75/296.01 10824 meet(join(A,meet(B,C)),complement(join(A,join(B,D)))) = zero. [para(5013(a,1),5891(a,1,1)),rewrite([8(4),12(4),8(3),12(4,R),8(3)])].
% 295.75/296.01 10888 meet(A,join(B,meet(A,join(B,join(C,meet(A,B)))))) = meet(A,join(B,meet(A,join(B,C)))). [back_rewrite(10353),rewrite([10783(4),23(3),25(3),14(6),10783(8),12(7,R),8(6),23(8)]),flip(a)].
% 295.75/296.01 10941 join(one,meet(A,B)) = one. [para(81(a,1),10818(a,1,2,2))].
% 295.75/296.01 10978 join(A,meet(meet(A,B),join(A,C))) = A. [para(6(a,1),10795(a,2)),rewrite([8(3),25(4)])].
% 295.75/296.01 11037 meet(meet(A,B),join(A,C)) = meet(A,B). [para(10978(a,1),4938(a,1,2)),rewrite([7(4),22(4),20(2)]),flip(a)].
% 295.75/296.01 11079 meet(meet(A,B),join(B,C)) = meet(A,B). [para(7(a,1),11037(a,1,1)),rewrite([7(4)])].
% 295.75/296.01 11135 meet(meet(A,B),join(C,meet(B,join(A,D)))) = meet(A,B). [para(22(a,1),11079(a,1,1)),rewrite([8(4),22(8)])].
% 295.75/296.01 11370 meet(complement(join(A,B)),join(A,meet(B,C))) = zero. [para(2(a,1),10824(a,1,2,1,2)),rewrite([7(5)])].
% 295.75/296.01 11371 meet(complement(join(A,B)),join(join(A,B),meet(A,C))) = zero. [para(2(a,1),10824(a,1,2,1)),rewrite([7(6)])].
% 295.75/296.01 11372 meet(complement(join(A,join(B,C))),join(A,meet(B,D))) = zero. [para(10824(a,1),7(a,1)),flip(a)].
% 295.75/296.01 11373 meet(join(A,meet(B,C)),complement(join(A,join(C,D)))) = zero. [para(7(a,1),10824(a,1,1,2))].
% 295.75/296.01 11401 meet(complement(join(A,B)),join(B,meet(A,C))) = zero. [para(8(a,1),11370(a,1,1,1))].
% 295.75/296.01 11402 meet(complement(join(A,join(B,C))),join(B,meet(D,join(A,C)))) = zero. [para(12(a,1),11370(a,1,1,1)),rewrite([8(4),7(5)])].
% 295.75/296.01 11405 meet(complement(join(A,B)),join(A,meet(C,join(A,B)))) = zero. [para(23(a,1),11370(a,1,1,1)),rewrite([7(4)])].
% 295.75/296.01 11414 meet(A,join(meet(B,complement(A)),meet(A,join(meet(B,complement(A)),complement(join(A,B)))))) = zero. [para(11370(a,1),56(a,1,2,2)),rewrite([8(4),1849(4),43(3),8(8)]),flip(a)].
% 295.75/296.01 11478 meet(A,complement(join(B,join(C,A)))) = zero. [para(5705(a,1),11401(a,1,2,2)),rewrite([8(2),12(2),8(1),12(2,R),8(1),19(5),7(4)])].
% 295.75/296.01 11635 join(join(A,B),meet(A,C)) = join(A,B). [hyper(1125,a,11371,a)].
% 295.75/296.01 11671 join(join(A,B),meet(B,C)) = join(A,B). [para(8(a,1),11635(a,1,1)),rewrite([8(4)])].
% 295.75/296.01 11674 meet(A,join(B,meet(join(A,B),join(A,C)))) = A. [para(11635(a,1),14(a,1,2,2,2)),rewrite([12(7,R),8(6),5(8),8(6),5(7)])].
% 295.75/296.01 11733 join(join(A,B),meet(C,join(A,B))) = join(A,B). [para(11635(a,1),11635(a,1,1)),rewrite([7(3),11635(7)])].
% 295.75/296.01 11967 join(join(A,B),meet(C,join(B,meet(A,D)))) = join(A,B). [para(25(a,1),11671(a,1,1)),rewrite([7(4),25(8)])].
% 295.75/296.01 11981 join(meet(A,B),meet(A,meet(B,C))) = meet(A,B). [para(1849(a,1),11671(a,1,1)),rewrite([7(3),10(3),7(2),10(3,R),7(2),1849(7)])].
% 295.75/296.01 11996 meet(A,join(B,meet(join(A,C),join(A,B)))) = A. [para(7(a,1),11674(a,1,2,2))].
% 295.75/296.01 12092 meet(meet(A,B),join(C,meet(A,meet(B,C)))) = meet(meet(A,B),join(C,meet(A,C))). [para(11981(a,1),28(a,1,2,2,2)),rewrite([7(4),7(5),11079(5),7(7),3408(11),165(9),7(6)]),flip(a)].
% 295.75/296.01 12216 join(A,join(B,meet(join(B,C),join(A,B)))) = join(A,meet(join(B,C),join(A,B))). [para(11996(a,1),11733(a,1,2)),rewrite([8(2),8(5),12(5,R),8(4),8(7)])].
% 295.75/296.01 12235 meet(complement(join(A,join(B,C))),join(A,meet(C,D))) = zero. [para(8(a,1),11372(a,1,1,1,2))].
% 295.75/296.01 12236 meet(complement(join(A,join(B,C))),join(C,meet(A,D))) = zero. [para(8(a,1),11372(a,1,1,1)),rewrite([8(2),12(2),8(1),12(2,R),8(1)])].
% 295.75/296.01 12248 meet(A,join(meet(B,complement(A)),meet(A,join(meet(B,complement(A)),complement(join(A,join(B,C))))))) = zero. [para(11372(a,1),56(a,1,2,2)),rewrite([8(4),1849(4),43(3),8(9)]),flip(a)].
% 295.75/296.01 12279 meet(complement(join(A,B)),join(A,meet(C,B))) = zero. [para(2(a,1),11373(a,1,2,1,2)),rewrite([7(5)])].
% 295.75/296.01 12280 meet(join(A,meet(B,C)),complement(join(C,join(A,D)))) = zero. [para(8(a,1),11373(a,1,1)),rewrite([8(2),12(4,R),8(3)])].
% 295.75/296.01 12281 meet(A,meet(complement(join(B,join(C,D))),join(B,meet(E,C)))) = zero. [para(11373(a,1),10(a,2,2)),rewrite([7(6),10(7,R),41(9)])].
% 295.75/296.01 12354 meet(join(A,B),complement(join(A,join(C,B)))) = zero. [para(4938(a,1),12279(a,1,2,2)),rewrite([7(5)])].
% 295.75/296.01 12401 meet(complement(join(A,B)),join(B,meet(C,join(A,B)))) = zero. [para(8(a,1),11405(a,1,1,1)),rewrite([8(3)])].
% 295.75/296.01 12839 meet(complement(join(A,join(B,C))),join(meet(C,join(D,complement(join(A,join(B,C))))),meet(A,join(complement(join(A,join(B,C))),meet(C,join(D,complement(join(A,join(B,C))))))))) = zero. [para(12235(a,1),47(a,2,2,2)),rewrite([8(7),8(15),7(21),11478(21),19(19),7(18),8(27),8(30),1849(30),10(29,R),7(28),4938(28),11478(24)])].
% 295.75/296.01 12847 meet(A,meet(B,complement(join(C,join(D,A))))) = zero. [para(12235(a,1),149(a,2,2,2,2)),rewrite([8(7),8(15),7(21),11478(21),19(19),7(18),10(21,R),7(20),12839(20),41(2),8(8),8(11),1849(11),10(10,R),7(9),10(11,R),7(10),10(10,R),7(9),4938(9)]),flip(a)].
% 295.75/296.01 12864 meet(complement(join(A,B)),join(meet(B,C),meet(A,D))) = zero. [para(6(a,1),12236(a,1,1,1,2))].
% 295.75/296.01 12942 meet(complement(join(A,complement(B))),join(complement(B),meet(C,A))) = zero. [para(3715(a,1),12280(a,1,2,1,2)),rewrite([7(7)])].
% 295.75/296.01 12944 meet(complement(join(A,meet(B,C))),join(meet(B,C),meet(D,A))) = zero. [para(11981(a,1),12280(a,1,2,1,2)),rewrite([7(7)])].
% 295.75/296.01 13626 meet(complement(join(A,complement(B))),join(meet(A,C),complement(B))) = zero. [para(3823(a,1),12864(a,1,2,2)),rewrite([8(2)])].
% 295.75/296.01 13684 meet(join(A,complement(B)),complement(join(join(A,C),complement(B)))) = zero. [para(5(a,1),12942(a,1,2,2)),rewrite([8(6),7(7)])].
% 295.75/296.01 14118 join(A,complement(meet(A,B))) = one. [hyper(455,a,13626,a,b,3,a(flip)),rewrite([3(8),7(6),3700(6),81(5),3(7)])].
% 295.75/296.01 14132 join(zero,join(meet(A,B),complement(C))) = join(meet(A,B),complement(C)). [para(13626(a,1),11733(a,1,2)),rewrite([8(5)])].
% 295.75/296.01 14161 join(meet(A,B),complement(meet(A,meet(B,C)))) = one. [hyper(455,a,13626,a,b,14118,a(flip)),rewrite([7(2),10(2),7(1),10(2,R),7(1),14118(4),44(2),7(4),10(4),7(3),10(4,R),7(3),118(7),54(2),7(4),10(4),7(3),10(4,R),7(3)]),flip(a)].
% 295.75/296.01 14163 join(A,join(B,complement(meet(A,C)))) = one. [hyper(86,a,12354,a,b,14118,a(flip)),rewrite([14118(3),3700(7),81(6),14118(7)])].
% 295.75/296.01 14183 join(join(A,B),complement(join(A,meet(B,C)))) = one. [para(5013(a,1),14118(a,1,2,1))].
% 295.75/296.01 14265 meet(meet(A,B),join(C,meet(A,C))) = meet(A,meet(B,C)). [para(14161(a,1),167(a,1,2,2,2)),rewrite([7(3),10(3),7(2),10(3,R),7(2),18(5),8(4),12092(5),7(6),10(6),7(5),10(6,R),7(5)])].
% 295.75/296.01 14280 join(join(A,B),complement(meet(C,join(A,B)))) = one. [para(5078(a,1),14161(a,1,1)),rewrite([7(4),10(5,R),7(4),5078(4)])].
% 295.75/296.01 14379 join(join(A,B),complement(join(A,meet(C,join(A,B))))) = one. [para(23(a,1),14183(a,1,1)),rewrite([7(3)])].
% 295.75/296.01 14402 join(A,join(join(B,C),complement(join(A,B)))) = one. [para(11733(a,1),14183(a,1,2,1)),rewrite([8(2),12(2),8(1),12(2,R),8(1),8(5),12(5,R)])].
% 295.75/296.01 14484 join(join(A,B),complement(meet(A,C))) = one. [para(11037(a,1),14280(a,1,2,1))].
% 295.75/296.01 14497 join(join(A,B),complement(meet(B,C))) = one. [para(8(a,1),14484(a,1,1))].
% 295.75/296.01 14593 join(A,join(B,complement(join(A,B)))) = one. [para(2(a,1),14402(a,1,2,1))].
% 295.75/296.01 14594 join(A,join(join(B,C),complement(join(B,A)))) = one. [para(14402(a,1),8(a,1)),rewrite([8(3),8(6)]),flip(a)].
% 295.75/296.01 14766 join(A,join(join(B,C),complement(meet(D,join(A,B))))) = one. [para(14280(a,1),14594(a,1,2,2,1)),rewrite([8(5),12(5),8(4),12(5,R),8(4),44(7),8(7),12(7,R),8(6),12(6),8(5),19(5),8(4),12(6,R)])].
% 295.75/296.01 16358 join(A,join(join(B,C),complement(meet(D,join(B,A))))) = one. [para(14766(a,1),8(a,1)),rewrite([8(3),8(7)]),flip(a)].
% 295.75/296.01 17871 join(join(A,B),join(join(C,D),complement(join(A,C)))) = one. [para(5011(a,1),16358(a,1,2,2,1)),rewrite([8(3)])].
% 295.75/296.01 18341 join(join(A,B),join(join(C,D),complement(join(B,C)))) = one. [para(8(a,1),17871(a,1,1))].
% 295.75/296.01 18537 join(complement(A),join(join(B,A),meet(C,D))) = one. [para(1849(a,1),18341(a,1,2,1)),rewrite([19(4),12(5)])].
% 295.75/296.01 18592 join(complement(meet(A,B)),join(join(A,C),meet(D,E))) = one. [para(11635(a,1),18537(a,1,2,1))].
% 295.75/296.01 18813 join(complement(meet(A,B)),join(join(B,C),meet(D,E))) = one. [para(7(a,1),18592(a,1,1,1))].
% 295.75/296.01 19060 join(A,join(B,complement(meet(C,A)))) = one. [para(4(a,1),18813(a,1,2,2)),rewrite([8(5),12(5),8(4),19(4),8(3),12(4),8(3),12(4,R),8(3)])].
% 295.75/296.01 19089 join(A,join(B,complement(meet(C,B)))) = one. [para(19060(a,1),12(a,2)),rewrite([8(3)])].
% 295.75/296.01 19101 join(meet(A,B),complement(meet(A,meet(C,B)))) = one. [hyper(17,a,13626,a,b,19089,a),rewrite([10(2,R),7(1),14118(4),44(2),54(2),10(4,R),7(3)]),flip(a)].
% 295.75/296.01 19109 join(complement(meet(A,B)),meet(A,join(B,C))) = one. [para(5(a,1),19101(a,1,2,1,2)),rewrite([8(5)])].
% 295.75/296.01 19120 join(complement(meet(A,B)),meet(A,join(C,B))) = one. [para(4938(a,1),19101(a,1,2,1,2)),rewrite([8(5)])].
% 295.75/296.01 19125 join(meet(A,join(B,C)),complement(meet(A,meet(B,D)))) = one. [para(11037(a,1),19101(a,1,2,1,2))].
% 295.75/296.01 19143 join(complement(meet(A,B)),meet(B,join(A,C))) = one. [hyper(455,a,12942,a,b,19109,a(flip)),rewrite([7(2),14484(4),44(2),7(2),118(7),54(2),7(2)]),flip(a)].
% 295.75/296.01 19144 join(A,complement(meet(B,A))) = one. [hyper(455,a,12401,a,b,19109,a(flip)),rewrite([7(1),14118(3),44(2),7(2),7(4),14118(6),18(5),8(4),118(5),54(2),7(2),7(4),14118(6),18(5),8(4)]),flip(a)].
% 295.75/296.01 19151 join(complement(meet(A,B)),meet(A,join(C,meet(B,join(A,D))))) = one. [para(22(a,1),19109(a,1,1,1)),rewrite([8(5)])].
% 295.75/296.01 19197 join(complement(meet(A,B)),meet(B,join(C,A))) = one. [hyper(455,a,12942,a,b,19120,a(flip)),rewrite([7(2),14497(4),44(2),7(2),118(7),54(2),7(2)]),flip(a)].
% 295.75/296.01 19218 join(complement(meet(A,meet(B,C))),meet(A,join(B,D))) = one. [para(11635(a,1),19120(a,1,2,2))].
% 295.75/296.01 19225 join(complement(A),meet(join(A,B),join(A,C))) = one. [para(5(a,1),19143(a,1,1,1))].
% 295.75/296.01 19274 join(complement(meet(A,meet(B,C))),meet(C,join(A,D))) = one. [para(11635(a,1),19197(a,1,2,2)),rewrite([7(2),10(2),7(1),10(2,R),7(1)])].
% 295.75/296.01 19275 join(meet(A,meet(B,C)),complement(meet(A,meet(B,meet(D,C))))) = one. [para(11981(a,1),19197(a,1,2,2)),rewrite([7(3),10(3,R),7(2),10(2),7(1),10(2,R),7(1),10(6),7(5),10(6,R),7(5),8(7)])].
% 295.75/296.01 19494 join(meet(A,join(B,C)),complement(meet(A,meet(C,D)))) = one. [para(8(a,1),19125(a,1,1,2))].
% 295.75/296.01 19532 join(A,complement(meet(B,meet(A,C)))) = one. [hyper(455,a,12401,a,b,19218,a(flip)),rewrite([10(2,R),7(1),14118(4),44(2),10(3,R),7(2),10(6,R),7(5),14118(8),18(6),8(5),118(6),54(2),10(3,R),7(2),10(6,R),7(5),14118(8),18(6),8(5)]),flip(a)].
% 295.75/296.01 19644 meet(A,meet(meet(B,C),join(D,E))) = meet(A,meet(B,meet(C,join(D,E)))). [para(11635(a,1),459(a,1,2,2,2,2)),rewrite([10(6,R),7(5),10(5,R),7(4),10(4,R),1(3),10(8,R)]),flip(a)].
% 295.75/296.01 20067 meet(A,join(meet(B,complement(A)),meet(C,join(A,meet(B,complement(A)))))) = meet(A,join(C,meet(B,complement(A)))). [back_rewrite(6991),rewrite([19644(13),10783(11),20(9)])].
% 295.75/296.01 20163 meet(A,join(meet(A,B),meet(B,complement(A)))) = meet(A,B). [back_rewrite(627),rewrite([20067(8),6(3)]),flip(a)].
% 295.75/296.01 20355 join(complement(meet(A,B)),meet(join(B,C),join(A,D))) = one. [para(5(a,1),19274(a,1,1,1,2))].
% 295.75/296.01 20360 join(complement(meet(A,B)),meet(join(A,C),join(A,D))) = one. [para(22(a,1),19274(a,1,1,1))].
% 295.75/296.01 20547 join(A,join(complement(meet(B,meet(C,D))),meet(B,join(E,C)))) = one. [hyper(86,a,12354,a,b,19494,a(flip)),rewrite([19494(6),12(8,R),3700(10),81(9),19494(13)])].
% 295.75/296.01 20548 join(meet(A,join(B,C)),complement(meet(C,meet(A,D)))) = one. [para(7(a,1),19494(a,1,1)),rewrite([7(2),10(4,R),7(3)])].
% 295.75/296.01 20828 meet(complement(A),join(meet(A,B),meet(B,complement(A)))) = meet(B,complement(A)). [para(81(a,1),20163(a,1,2,2,2)),rewrite([7(3),7(4),8(5),7(8)])].
% 295.75/296.01 21085 join(complement(meet(A,complement(B))),meet(join(A,C),complement(B))) = one. [para(3715(a,1),20355(a,1,2,2)),rewrite([7(2)])].
% 295.75/296.01 21113 join(meet(join(A,B),join(A,C)),complement(meet(A,D))) = one. [para(20360(a,1),8(a,1)),flip(a)].
% 295.75/296.01 21363 meet(one,meet(join(A,B),complement(C))) = meet(join(A,B),complement(C)). [para(21085(a,1),4938(a,1,2)),rewrite([7(5)])].
% 295.75/296.01 21404 join(meet(join(A,B),join(B,C)),complement(meet(B,D))) = one. [para(8(a,1),21113(a,1,1,1))].
% 295.75/296.01 21449 join(complement(A),meet(join(B,A),join(A,C))) = one. [para(1(a,1),21404(a,1,2,1)),rewrite([8(5)])].
% 295.75/296.01 21636 meet(A,join(meet(A,B),meet(A,C))) = join(meet(A,B),meet(A,C)). [para(6(a,1),10783(a,1,1))].
% 295.75/296.01 21650 meet(A,join(B,join(A,meet(C,D)))) = A. [para(10824(a,1),10783(a,1,2,2)),rewrite([8(3),12(3,R),8(2),19(5),7(4),10824(10),19(6)])].
% 295.75/296.01 21675 meet(A,join(B,join(A,complement(C)))) = A. [para(13684(a,1),10783(a,1,2,2)),rewrite([8(3),12(3,R),8(2),19(5),7(4),13684(11),19(6)])].
% 295.75/296.01 21849 meet(A,join(join(A,B),meet(C,D))) = A. [para(21650(a,1),11996(a,1,2,2)),rewrite([8(5),23(5)])].
% 295.75/296.01 21882 join(A,join(join(A,B),meet(C,D))) = join(join(A,B),meet(C,D)). [para(21849(a,1),11733(a,1,2)),rewrite([8(4)])].
% 295.75/296.01 22617 join(A,join(meet(B,join(C,D)),complement(join(A,meet(B,C))))) = one. [para(11135(a,1),14379(a,1,2,1,2)),rewrite([7(4),8(7),12(7,R)])].
% 295.75/296.01 22895 join(A,meet(B,join(meet(A,C),meet(A,D)))) = A. [para(6(a,1),11967(a,1,1)),rewrite([6(7)])].
% 295.75/296.01 22971 meet(A,meet(join(meet(B,C),meet(B,D)),complement(meet(A,B)))) = zero. [para(22895(a,1),2269(a,1,2,1,2)),rewrite([7(7),10(7,R)])].
% 295.75/296.01 23164 join(zero,join(join(A,B),complement(C))) = join(join(A,B),complement(C)). [para(5078(a,1),14132(a,1,2,1)),rewrite([5078(8)])].
% 295.75/296.01 23192 meet(meet(A,B),complement(C)) = meet(A,meet(B,complement(C))). [para(3715(a,1),14265(a,1,2))].
% 295.75/296.01 23210 meet(meet(A,B),join(C,D)) = meet(A,meet(B,join(C,D))). [para(11733(a,1),14265(a,1,2))].
% 295.75/296.01 23251 meet(A,meet(B,join(C,meet(A,B)))) = meet(A,B). [para(14265(a,1),21849(a,1)),rewrite([8(2)])].
% 295.75/296.01 23512 meet(A,meet(B,complement(join(C,meet(A,join(D,meet(A,B))))))) = zero. [back_rewrite(8912),rewrite([23192(7)])].
% 295.75/296.01 23862 meet(A,join(B,meet(A,join(B,C)))) = meet(A,join(B,C)). [para(23251(a,1),29(a,2)),rewrite([29(8),10788(5)])].
% 295.75/296.01 24035 meet(A,join(meet(B,complement(A)),complement(join(A,join(B,C))))) = zero. [back_rewrite(12248),rewrite([23862(11)])].
% 295.75/296.01 24047 meet(A,join(meet(B,complement(A)),complement(join(A,B)))) = zero. [back_rewrite(11414),rewrite([23862(10)])].
% 295.75/296.01 24059 meet(A,join(B,join(C,meet(A,B)))) = meet(A,join(B,C)). [back_rewrite(10888),rewrite([23862(6),23862(8)])].
% 295.75/296.01 24222 meet(complement(A),join(meet(A,B),complement(join(B,complement(A))))) = zero. [para(81(a,1),24047(a,1,2,1,2)),rewrite([7(2),8(4)])].
% 295.75/296.01 24779 meet(complement(A),join(meet(A,B),complement(join(complement(A),meet(A,B))))) = zero. [para(20(a,1),24222(a,1,2,1)),rewrite([8(5)])].
% 295.75/296.01 24992 join(A,join(join(B,C),complement(D))) = join(A,join(B,join(C,complement(D)))). [para(3823(a,1),618(a,1,2,2,2,2)),rewrite([12(6,R),8(5),12(5,R),8(4),12(4,R),2(3),12(8,R)]),flip(a)].
% 295.75/296.01 25075 join(A,join(join(B,C),meet(D,E))) = join(A,join(B,join(C,meet(D,E)))). [para(23192(a,1),618(a,1,2,2,2,2)),rewrite([12(8,R),8(7),12(7,R),8(6),12(6,R),8(5),11981(5),12(8,R)]),flip(a)].
% 295.75/296.01 25129 join(join(A,B),complement(C)) = join(A,join(B,complement(C))). [back_rewrite(23164),rewrite([24992(5),12(5,R),8(4),12(4,R),19(3)]),flip(a)].
% 295.75/296.01 25289 join(join(A,B),meet(C,D)) = join(A,join(B,meet(C,D))). [back_rewrite(21882),rewrite([25075(4),23(4)]),flip(a)].
% 295.75/296.01 26086 join(A,join(B,meet(C,join(A,B)))) = join(A,B). [back_rewrite(11733),rewrite([25289(4)])].
% 295.75/296.01 26283 join(A,meet(join(B,C),join(A,B))) = join(A,B). [back_rewrite(12216),rewrite([26086(5)]),flip(a)].
% 295.75/296.01 26287 join(A,join(meet(A,B),complement(C))) = join(A,complement(C)). [para(6(a,1),25129(a,1,1)),flip(a)].
% 295.75/296.01 26428 join(A,meet(join(B,C),join(A,C))) = join(A,C). [para(8(a,1),26283(a,1,2,1))].
% 295.75/296.01 26707 join(A,meet(B,join(A,meet(B,C)))) = join(A,meet(B,C)). [para(6(a,1),26428(a,1,2,1))].
% 295.75/296.01 27560 meet(one,meet(complement(A),join(B,C))) = meet(join(B,C),complement(A)). [para(7(a,1),21363(a,1,2))].
% 295.75/296.01 27889 meet(A,meet(join(A,B),join(C,D))) = meet(A,join(C,D)). [para(5(a,1),23210(a,1,1)),flip(a)].
% 295.75/296.01 27999 meet(A,meet(B,join(C,join(meet(A,B),complement(D))))) = meet(A,B). [para(23210(a,1),21675(a,1))].
% 295.75/296.01 29202 join(meet(complement(A),join(B,C)),complement(meet(join(B,C),complement(A)))) = one. [para(27560(a,1),19144(a,1,2,1))].
% 295.75/296.01 31289 meet(complement(join(A,join(B,C))),join(B,meet(D,A))) = zero. [hyper(17,a,12281,a,b,19197,a),rewrite([12(3,R),8(2),23192(5),2263(4),41(2),54(2),44(2),12(3,R),8(2)]),flip(a)].
% 295.75/296.01 31591 meet(join(meet(A,B),complement(C)),complement(join(complement(C),meet(A,B)))) = zero. [para(3700(a,1),12944(a,1,2,2)),rewrite([7(8)])].
% 295.75/296.01 32726 join(complement(meet(A,meet(B,C))),meet(A,meet(B,join(D,C)))) = one. [para(4938(a,1),19275(a,1,2,1,2,2)),rewrite([8(7)])].
% 295.75/296.01 33025 join(complement(meet(A,meet(B,C))),meet(B,join(D,A))) = one. [hyper(17,a,31289,a,b,20547,a),rewrite([10(3,R),7(2),8(5),12(6,R),12(5),8(4),14163(5),51(2),44(2),54(2),10(3,R),7(2)]),flip(a)].
% 295.75/296.01 33026 join(complement(meet(A,meet(B,C))),meet(A,join(D,B))) = one. [hyper(17,a,11402,a,b,20547,a),rewrite([8(4),19532(4),51(2),44(2),54(2)]),flip(a)].
% 295.75/296.01 33102 join(meet(complement(A),join(B,C)),complement(meet(C,meet(D,complement(A))))) = one. [para(20828(a,1),20548(a,1,2,1,2))].
% 295.75/296.01 33297 join(A,join(complement(join(A,meet(B,C))),meet(B,join(C,D)))) = one. [para(8(a,1),22617(a,1,2))].
% 295.75/296.01 33354 meet(A,join(meet(B,C),meet(B,join(A,D)))) = meet(A,B). [hyper(36,a,22971,a,b,19151,a),rewrite([81(3)]),flip(a)].
% 295.75/296.01 33372 meet(A,join(meet(B,C),meet(A,B))) = meet(A,B). [para(2(a,1),33354(a,1,2,2,2)),rewrite([7(2)])].
% 295.75/296.01 33407 meet(A,join(meet(B,C),meet(A,C))) = meet(A,C). [para(7(a,1),33372(a,1,2,1))].
% 295.75/296.01 33408 meet(A,join(meet(A,B),meet(B,C))) = meet(A,B). [para(8(a,1),33372(a,1,2))].
% 295.75/296.01 33468 meet(A,join(meet(B,C),meet(C,A))) = meet(C,A). [para(33407(a,1),7(a,2)),rewrite([7(2),7(4),7(5)])].
% 295.75/296.01 33471 join(meet(A,B),meet(A,meet(C,B))) = meet(A,B). [para(20(a,1),33407(a,1,2,2)),rewrite([10(2,R),7(1),8(4),21636(5),20(6)])].
% 295.75/296.01 33548 meet(A,join(B,meet(A,join(C,B)))) = meet(A,join(C,B)). [para(26428(a,1),33408(a,1,2)),rewrite([8(3)])].
% 295.75/296.01 33572 join(A,meet(B,A)) = A. [para(18(a,1),33468(a,1,2,2)),rewrite([8(3),5078(4),18(4)])].
% 295.75/296.01 33573 meet(A,join(meet(B,A),meet(A,C))) = join(meet(B,A),meet(A,C)). [para(26707(a,1),33468(a,1,2)),rewrite([1(7)]),flip(a)].
% 295.75/296.01 33603 join(meet(A,B),meet(A,join(C,B))) = meet(A,join(C,B)). [para(4938(a,1),33471(a,1,2,2)),rewrite([8(4)])].
% 295.75/296.01 33761 meet(A,meet(B,join(C,meet(A,meet(B,join(D,C)))))) = meet(A,meet(B,join(D,C))). [para(33548(a,1),23210(a,1)),rewrite([23210(3),23210(6)]),flip(a)].
% 295.75/296.01 33924 zero != A | join(B,A) != one | complement(join(B,A)) = A. [para(33603(a,1),1534(b,1)),rewrite([7(3),4938(3),7(2),4938(2),1(5),1(8),7(9),4938(9)]),flip(a)].
% 295.75/296.01 34616 join(meet(A,B),complement(join(complement(A),meet(A,B)))) = A. [hyper(17,a,24779,a,b,14593,a),rewrite([81(2)]),flip(a)].
% 295.75/296.01 34621 join(meet(A,B),complement(join(complement(B),meet(A,B)))) = B. [para(7(a,1),34616(a,1,1)),rewrite([7(3)])].
% 295.75/296.01 34637 meet(complement(A),join(complement(join(complement(A),meet(A,B))),meet(A,C))) = zero. [para(34616(a,1),12401(a,1,1,1)),rewrite([34616(11),7(6)])].
% 295.75/296.01 34656 join(A,complement(join(complement(A),meet(A,B)))) = A. [para(34616(a,1),26287(a,1,2)),rewrite([2(1)]),flip(a)].
% 295.75/296.01 34756 join(A,complement(join(complement(B),meet(A,B)))) = join(A,B). [para(34621(a,1),26287(a,1,2)),flip(a)].
% 295.75/296.01 34758 meet(A,join(complement(join(A,B)),meet(C,meet(B,complement(A))))) = zero. [para(34621(a,1),24035(a,1,2,2,1,2)),rewrite([23192(3),8(6)])].
% 295.75/296.01 34926 join(A,complement(join(complement(B),meet(A,meet(C,B))))) = join(A,B). [para(34756(a,1),26287(a,1,2)),rewrite([8(2),25(3),7(4),10(4),7(3),10(4,R),7(3)]),flip(a)].
% 295.75/296.01 35196 meet(A,join(complement(join(B,A)),meet(C,meet(B,complement(A))))) = zero. [hyper(33924,a,34758,a(flip),b,33025,a),rewrite([10(5),7(4),55(4),41(2),54(2),8(2),10941(9),44(2),8(2)]),flip(a)].
% 295.75/296.01 35285 join(A,complement(join(complement(B),meet(B,meet(A,C))))) = join(B,A). [para(34926(a,1),8(a,2)),rewrite([7(2),10(3,R),7(2),8(6),8(7)])].
% 295.75/296.01 35323 join(meet(A,B),complement(join(complement(B),meet(A,meet(B,C))))) = B. [para(33572(a,1),35285(a,2)),rewrite([7(4),10(4),7(3),10(4,R),7(3),10(5,R),7(4),20(4)])].
% 295.75/296.01 35915 meet(A,meet(B,join(meet(A,B),complement(C)))) = meet(A,B). [para(2(a,1),27999(a,1,2,2))].
% 295.75/296.01 35928 join(complement(meet(A,B)),meet(A,join(meet(A,B),complement(C)))) = one. [para(35915(a,1),19101(a,1,2,1)),rewrite([8(7)])].
% 295.75/296.01 35955 join(complement(meet(A,B)),meet(B,join(meet(A,B),complement(C)))) = one. [para(7(a,1),35928(a,1,1,1)),rewrite([7(3)])].
% 295.75/296.01 36114 join(complement(A),complement(join(A,meet(complement(A),join(A,B))))) = complement(A). [para(2649(a,1),34656(a,1,2,1,2)),rewrite([81(3)])].
% 295.75/296.01 36740 meet(A,join(meet(B,join(C,D)),complement(meet(A,meet(B,D))))) = A. [para(32726(a,1),24059(a,1,2,2)),rewrite([8(4),10941(4),18(2)]),flip(a)].
% 295.75/296.01 36995 join(complement(meet(A,meet(B,complement(C)))),meet(complement(C),join(D,A))) = one. [hyper(86,a,31591,a,b,33102,a(flip)),rewrite([33102(8),3700(11),81(10),33102(16)])].
% 295.75/296.01 37520 join(complement(join(complement(A),meet(A,B))),meet(A,join(B,C))) = A. [hyper(17,a,34637,a,b,33297,a),rewrite([81(2)]),flip(a)].
% 295.75/296.01 38313 meet(A,join(meet(B,join(C,D)),complement(meet(A,meet(D,B))))) = A. [para(7(a,1),36740(a,1,2,1)),rewrite([7(2),7(3)])].
% 295.75/296.01 38357 meet(complement(A),join(complement(join(B,complement(A))),meet(C,meet(B,A)))) = zero. [hyper(33924,a,35196,a(flip),b,36995,a),rewrite([81(2),10(5),7(4),10(4,R),7(3),10(3),7(2),10(3,R),7(2),10(5,R),7(4),10(4,R),7(3),10(3),7(2),4(2),41(2),41(2),41(2),54(2),81(7),10941(10),44(2),81(7)]),flip(a)].
% 295.75/296.01 38548 meet(A,join(meet(join(B,C),join(C,D)),complement(meet(A,C)))) = A. [para(4938(a,1),38313(a,1,2,2,1,2)),rewrite([8(2)])].
% 295.75/296.01 38562 meet(complement(A),join(complement(join(B,complement(A))),meet(A,meet(C,B)))) = zero. [hyper(33924,a,38357,a(flip),b,33026,a),rewrite([7(2),10(3,R),7(2),7(4),10(4,R),7(3),10(3),7(2),10(3,R),7(2),10(5,R),23192(4),23192(3),62(5),54(2),7(6),10(7,R),7(6),10941(10),44(2),7(6),10(7,R),7(6)]),flip(a)].
% 295.75/296.01 38618 join(meet(join(A,B),join(B,C)),complement(meet(D,B))) = one. [para(38548(a,1),35323(a,1,1)),rewrite([7(14),34926(18),14163(7)]),flip(a)].
% 295.75/296.01 38619 join(complement(A),meet(join(B,join(C,A)),join(C,join(A,D)))) = one. [para(4938(a,1),38618(a,1,2,1)),rewrite([8(4),12(4),8(3),12(4,R),8(3),8(7)])].
% 295.75/296.01 38622 meet(complement(A),join(meet(A,B),complement(join(C,join(B,complement(A)))))) = zero. [para(4938(a,1),38562(a,1,2,2,2)),rewrite([25129(4),8(7)])].
% 295.75/296.01 38639 meet(complement(A),join(meet(B,A),complement(join(C,join(B,complement(A)))))) = zero. [hyper(33924,a,38622,a(flip),b,36995,a),rewrite([10(7),7(6),12847(7),54(2),7(3),10941(10),44(2),7(3)]),flip(a)].
% 295.75/296.01 38647 meet(A,meet(B,meet(C,join(complement(B),complement(join(A,complement(B))))))) = zero. [para(38639(a,1),2308(a,1,2,2,2)),rewrite([8(5),25289(5),25(5),8(6),184(6),10(6,R),7(5),23192(5),2305(5),41(2),8(6),25289(6),25(6),8(11),25289(11),25(11),23210(12),10(15,R),7(14),23210(14),33761(14),10(9,R),7(8),10(8,R),7(7)]),flip(a)].
% 295.75/296.01 38648 meet(A,meet(B,join(complement(B),complement(join(A,complement(B)))))) = zero. [hyper(2231,a,38647,a,b,38619,a(flip)),rewrite([8(2),12(3,R),8(2),12(5,R),8(4),19225(7),5078(7),8(9),12(10,R),8(9),12(12,R),8(11),19225(14),44(9)])].
% 295.75/296.01 38661 meet(A,meet(complement(B),join(B,complement(join(B,A))))) = zero. [hyper(2319,a,38648,a,b,29202,a),rewrite([81(3),81(3),8(2),81(7),81(7),8(6),7(10),3(12),44(2),81(4),81(4),8(3)]),flip(a)].
% 295.75/296.01 38685 meet(A,join(complement(A),meet(B,A))) = meet(B,A). [hyper(35,a,38661,a,b,35955,a),rewrite([81(3),8(4),33572(4),8(4)]),flip(a)].
% 295.75/296.01 38688 meet(join(A,B),join(A,complement(join(A,B)))) = A. [hyper(35,a,38661,a,b,21449,a),rewrite([81(2),8(1),8(2),23(3)]),flip(a)].
% 295.75/296.01 38710 meet(complement(A),join(A,meet(B,complement(A)))) = meet(B,complement(A)). [para(81(a,1),38685(a,1,2,1))].
% 295.75/296.01 38713 meet(join(A,B),join(B,complement(join(A,B)))) = B. [para(4938(a,1),38685(a,1,2,2)),rewrite([8(4),4938(7)])].
% 295.75/296.01 38781 meet(A,join(B,complement(join(A,B)))) = meet(A,B). [para(38713(a,1),27889(a,1,2)),flip(a)].
% 295.75/296.01 38794 meet(A,join(B,complement(join(B,A)))) = meet(B,A). [para(38781(a,1),7(a,2)),rewrite([8(1),7(4),7(5)])].
% 295.75/296.01 38797 meet(A,B) != zero | join(B,complement(join(A,B))) = complement(A). [para(38781(a,1),17(a,1)),rewrite([14593(7)]),flip(c),xx(b)].
% 295.75/296.01 38798 meet(A,B) != zero | complement(join(B,complement(join(A,B)))) = A. [para(38781(a,1),34(a,1)),rewrite([14593(7)]),xx(b)].
% 295.75/296.01 38811 meet(A,join(B,complement(join(A,join(C,B))))) = meet(A,B). [para(38781(a,1),27889(a,1,2)),rewrite([7(2),22(3),8(3),12(3),8(2),12(3,R),8(2)]),flip(a)].
% 295.75/296.01 38828 meet(A,B) != zero | join(A,complement(join(A,B))) = complement(B). [para(38794(a,1),17(a,1)),rewrite([12(7,R),8(6),14593(7)]),flip(c),xx(b)].
% 295.75/296.01 38907 meet(A,join(B,complement(join(B,join(A,C))))) = meet(B,A). [para(38811(a,1),7(a,2)),rewrite([8(1),12(2,R),8(1),7(5),7(6)])].
% 295.75/296.01 38924 meet(join(A,B),join(A,complement(join(A,join(B,C))))) = A. [para(38811(a,1),2487(a,1,2,1)),rewrite([7(2),5(2),3(2),8(6),12(7),8(6),23(6),12(6),8(5),12(6,R),8(5)]),xx(a)].
% 295.75/296.01 38981 meet(A,meet(complement(B),join(B,complement(join(B,join(C,meet(A,complement(B)))))))) = zero. [para(43(a,1),38907(a,2)),rewrite([8(5),23210(9)])].
% 295.75/296.01 39018 meet(join(A,meet(B,C)),join(A,complement(join(A,B)))) = A. [para(34616(a,1),38924(a,1,2,2,1,2))].
% 295.75/296.01 39078 complement(join(complement(A),complement(join(complement(A),meet(A,B))))) = meet(A,B). [hyper(38798,a,39018,a),rewrite([8(3),19(3),184(3),1849(4),8(5),19(5),184(5),8(4),1849(10)])].
% 295.75/296.01 39079 join(complement(A),complement(join(complement(A),meet(A,B)))) = complement(meet(A,B)). [hyper(38797,a,39018,a),rewrite([8(3),19(3),184(3),1849(4),8(5),19(5),184(5),8(4),1849(9)])].
% 295.75/296.01 39101 complement(join(complement(A),meet(A,B))) = meet(A,complement(meet(A,B))). [para(37520(a,1),39018(a,1,1)),rewrite([8(9),34656(9),8(6),39079(6)]),flip(a)].
% 295.75/296.01 39104 meet(A,complement(meet(A,complement(meet(A,B))))) = meet(A,B). [back_rewrite(39078),rewrite([39101(5),39101(6)])].
% 295.75/296.01 39180 join(meet(A,B),meet(A,complement(meet(A,B)))) = A. [back_rewrite(34616),rewrite([39101(5)])].
% 295.75/296.01 39203 join(A,meet(complement(A),join(A,B))) = join(A,B). [para(38688(a,1),39180(a,1,1)),rewrite([38688(6),7(3)])].
% 295.75/296.01 39222 join(complement(A),complement(join(A,B))) = complement(A). [back_rewrite(36114),rewrite([39203(5)])].
% 295.75/296.01 39227 meet(complement(A),complement(join(A,B))) = complement(join(A,B)). [para(39222(a,1),4938(a,1,2)),rewrite([7(4)])].
% 295.75/296.01 39360 meet(complement(A),join(A,complement(join(A,B)))) = complement(join(A,B)). [para(39222(a,1),38713(a,1,1)),rewrite([39222(7),81(5),8(4)])].
% 295.75/296.01 39365 meet(A,complement(join(B,join(C,meet(A,complement(B)))))) = zero. [back_rewrite(38981),rewrite([39360(8)])].
% 295.75/296.01 40747 meet(A,complement(join(B,meet(A,complement(B))))) = zero. [para(39203(a,1),23512(a,1,2,2,1)),rewrite([7(3),10(7,R),7(6),39227(6)])].
% 295.75/296.01 40775 meet(A,complement(join(complement(B),meet(A,B)))) = zero. [para(81(a,1),40747(a,1,2,1,2,2))].
% 295.75/296.01 40793 join(complement(A),meet(B,A)) = join(B,complement(join(B,A))). [hyper(38828,a,40775,a),rewrite([34756(5),81(8)]),flip(a)].
% 295.75/296.01 42322 meet(complement(A),complement(meet(complement(A),join(A,B)))) = complement(join(A,B)). [para(39227(a,1),39104(a,1,2,1,2,1)),rewrite([81(5),39227(10)])].
% 295.75/296.01 43260 join(complement(A),meet(A,B)) = join(B,complement(A)). [para(40793(a,1),23(a,1,2)),rewrite([8(2),12(5,R),8(4),39222(4),7(4)]),flip(a)].
% 295.75/296.01 43261 join(A,complement(join(B,A))) = join(A,complement(B)). [para(40793(a,1),23(a,2)),rewrite([7(3),43260(4),12(4,R),2(3),8(3)]),flip(a)].
% 295.75/296.01 43262 join(A,complement(join(A,B))) = join(A,complement(B)). [para(40793(a,2),23(a,1,2)),rewrite([25(4)]),flip(a)].
% 295.75/296.01 43263 join(complement(A),meet(B,A)) = join(B,complement(A)). [para(40793(a,2),23(a,2)),rewrite([43262(3),23(3)]),flip(a)].
% 295.75/296.01 43265 join(A,meet(B,complement(A))) = join(A,B). [para(81(a,1),40793(a,1,1)),rewrite([43262(7),81(5),8(4)])].
% 295.75/296.01 43270 join(A,complement(join(B,join(C,meet(A,D))))) = join(A,complement(join(B,join(C,A)))). [para(60(a,1),40793(a,2,2,1)),rewrite([43263(9),12(7),8(6),12(7,R),8(6)])].
% 295.75/296.01 43373 join(complement(A),meet(B,join(A,C))) = join(B,complement(A)). [para(23862(a,1),40793(a,1,2)),rewrite([8(7),43261(7),8(4),25(8),8(5),43261(7)])].
% 295.75/296.01 43374 join(A,complement(join(B,join(C,A)))) = join(A,complement(join(B,C))). [para(24059(a,1),40793(a,1,2)),rewrite([7(1),25(3),43263(5),7(4),25(6),12(5),8(4),12(5,R),8(4)]),flip(a)].
% 295.75/296.01 43645 meet(A,join(B,complement(A))) = meet(A,B). [para(40793(a,1),38685(a,1,2)),rewrite([8(1),43261(3),7(4)])].
% 295.75/296.01 43649 meet(join(A,B),join(B,complement(A))) = B. [para(40793(a,2),38688(a,1,1)),rewrite([7(2),43260(3),8(3),43261(5),43262(6),81(4),8(3),7(4)])].
% 295.75/296.01 43684 join(A,join(B,meet(C,complement(A)))) = join(A,join(B,C)). [para(39365(a,1),40793(a,1,2)),rewrite([81(6),8(6),12(6,R),8(5),12(5,R),8(4),1849(4),43270(10),43374(8),43262(9),81(7),12(6),8(5),12(6,R),8(5)])].
% 295.75/296.01 43690 complement(meet(A,B)) = join(complement(A),complement(B)). [para(40793(a,1),40793(a,2,2,1)),rewrite([10(5),7(4),43(5),8(4),184(4),43262(6),43261(7),8(5)])].
% 295.75/296.01 43823 meet(complement(A),join(A,B)) = meet(B,complement(A)). [back_rewrite(38710),rewrite([43265(4)])].
% 295.75/296.01 43924 complement(join(A,B)) = meet(complement(A),complement(B)). [back_rewrite(42322),rewrite([43823(4),43690(4),81(4),8(3),43823(4),7(3)]),flip(a)].
% 295.75/296.01 47777 meet(join(A,B),join(B,join(C,complement(A)))) = join(B,meet(A,C)). [para(10783(a,1),43645(a,2)),rewrite([43924(5),8(7),12(7,R),43684(7),8(4),43260(4)])].
% 295.75/296.01 47874 join(A,meet(B,join(C,A))) = join(A,meet(C,B)). [para(26086(a,1),43649(a,1,1)),rewrite([8(6),12(6,R),8(5),43373(5),47777(5)]),flip(a)].
% 295.75/296.01 47906 meet(A,join(B,meet(A,C))) = meet(A,join(C,B)). [para(43649(a,1),33408(a,1,2,2)),rewrite([8(3),47874(3),7(1)])].
% 295.75/296.01 48003 join(meet(A,B),meet(A,C)) = meet(A,join(B,C)). [back_rewrite(33573),rewrite([7(1),47906(4),47906(3),7(3)]),flip(a)].
% 295.75/296.01 48004 $F # answer(prove_distributivity). [resolve(48003,a,16,a)].
% 295.75/296.01
% 295.75/296.01 % SZS output end Refutation
% 295.75/296.01 ============================== end of proof ==========================
% 295.75/296.01
% 295.75/296.01 ============================== STATISTICS ============================
% 295.75/296.01
% 295.75/296.01 Given=2490. Generated=4997026. Kept=47999. proofs=1.
% 295.75/296.01 Usable=302. Sos=4648. Demods=4478. Limbo=97, Disabled=42964. Hints=0.
% 295.75/296.01 Megabytes=52.38.
% 295.75/296.01 User_CPU=292.24, System_CPU=2.76, Wall_clock=295.
% 295.75/296.01
% 295.75/296.01 ============================== end of statistics =====================
% 295.75/296.01
% 295.75/296.01 ============================== end of search =========================
% 295.75/296.01
% 295.75/296.01 THEOREM PROVED
% 295.75/296.01 % SZS status Unsatisfiable
% 295.75/296.01
% 295.75/296.01 Exiting with 1 proof.
% 295.75/296.01
% 295.75/296.01 Process 13345 exit (max_proofs) Thu Jun 30 08:19:56 2022
% 295.75/296.01 Prover9 interrupted
%------------------------------------------------------------------------------