TSTP Solution File: LAT222-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT222-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n024.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 06:26:13 EDT 2022
% Result : Unsatisfiable 266.38s 266.72s
% Output : Refutation 266.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LAT222-1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 29 11:26:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 12.01/12.28 ============================== Prover9 ===============================
% 12.01/12.28 Prover9 (32) version 2009-11A, November 2009.
% 12.01/12.28 Process 402 was started by sandbox on n024.cluster.edu,
% 12.01/12.28 Wed Jun 29 11:26:01 2022
% 12.01/12.28 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_32717_n024.cluster.edu".
% 12.01/12.28 ============================== end of head ===========================
% 12.01/12.28
% 12.01/12.28 ============================== INPUT =================================
% 12.01/12.28
% 12.01/12.28 % Reading from file /tmp/Prover9_32717_n024.cluster.edu
% 12.01/12.28
% 12.01/12.28 set(prolog_style_variables).
% 12.01/12.28 set(auto2).
% 12.01/12.28 % set(auto2) -> set(auto).
% 12.01/12.28 % set(auto) -> set(auto_inference).
% 12.01/12.28 % set(auto) -> set(auto_setup).
% 12.01/12.28 % set(auto_setup) -> set(predicate_elim).
% 12.01/12.28 % set(auto_setup) -> assign(eq_defs, unfold).
% 12.01/12.28 % set(auto) -> set(auto_limits).
% 12.01/12.28 % set(auto_limits) -> assign(max_weight, "100.000").
% 12.01/12.28 % set(auto_limits) -> assign(sos_limit, 20000).
% 12.01/12.28 % set(auto) -> set(auto_denials).
% 12.01/12.28 % set(auto) -> set(auto_process).
% 12.01/12.28 % set(auto2) -> assign(new_constants, 1).
% 12.01/12.28 % set(auto2) -> assign(fold_denial_max, 3).
% 12.01/12.28 % set(auto2) -> assign(max_weight, "200.000").
% 12.01/12.28 % set(auto2) -> assign(max_hours, 1).
% 12.01/12.28 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 12.01/12.28 % set(auto2) -> assign(max_seconds, 0).
% 12.01/12.28 % set(auto2) -> assign(max_minutes, 5).
% 12.01/12.28 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 12.01/12.28 % set(auto2) -> set(sort_initial_sos).
% 12.01/12.28 % set(auto2) -> assign(sos_limit, -1).
% 12.01/12.28 % set(auto2) -> assign(lrs_ticks, 3000).
% 12.01/12.28 % set(auto2) -> assign(max_megs, 400).
% 12.01/12.28 % set(auto2) -> assign(stats, some).
% 12.01/12.28 % set(auto2) -> clear(echo_input).
% 12.01/12.28 % set(auto2) -> set(quiet).
% 12.01/12.28 % set(auto2) -> clear(print_initial_clauses).
% 12.01/12.28 % set(auto2) -> clear(print_given).
% 12.01/12.28 assign(lrs_ticks,-1).
% 12.01/12.28 assign(sos_limit,10000).
% 12.01/12.28 assign(order,kbo).
% 12.01/12.28 set(lex_order_vars).
% 12.01/12.28 clear(print_given).
% 12.01/12.28
% 12.01/12.28 % formulas(sos). % not echoed (14 formulas)
% 12.01/12.28
% 12.01/12.28 ============================== end of input ==========================
% 12.01/12.28
% 12.01/12.28 % From the command line: assign(max_seconds, 300).
% 12.01/12.28
% 12.01/12.28 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 12.01/12.28
% 12.01/12.28 % Formulas that are not ordinary clauses:
% 12.01/12.28
% 12.01/12.28 ============================== end of process non-clausal formulas ===
% 12.01/12.28
% 12.01/12.28 ============================== PROCESS INITIAL CLAUSES ===============
% 12.01/12.28
% 12.01/12.28 ============================== PREDICATE ELIMINATION =================
% 12.01/12.28
% 12.01/12.28 ============================== end predicate elimination =============
% 12.01/12.28
% 12.01/12.28 Auto_denials:
% 12.01/12.28 % copying label prove_distributivity to answer in negative clause
% 12.01/12.28
% 12.01/12.28 Term ordering decisions:
% 12.01/12.28
% 12.01/12.28 % Assigning unary symbol complement kb_weight 0 and highest precedence (8).
% 12.01/12.28 Function symbol KB weights: a=1. one=1. zero=1. b=1. meet=1. join=1. complement=0.
% 12.01/12.28
% 12.01/12.28 ============================== end of process initial clauses ========
% 12.01/12.28
% 12.01/12.28 ============================== CLAUSES FOR SEARCH ====================
% 12.01/12.28
% 12.01/12.28 ============================== end of clauses for search =============
% 12.01/12.28
% 12.01/12.28 ============================== SEARCH ================================
% 12.01/12.28
% 12.01/12.28 % Starting search at 0.01 seconds.
% 12.01/12.28
% 12.01/12.28 Low Water (keep): wt=187.000, iters=3344
% 12.01/12.28
% 12.01/12.28 Low Water (keep): wt=177.000, iters=3352
% 12.01/12.28
% 12.01/12.28 Low Water (keep): wt=161.000, iters=3340
% 12.01/12.28
% 12.01/12.28 Low Water (keep): wt=139.000, iters=3335
% 12.01/12.28
% 12.01/12.28 Low Water (keep): wt=132.000, iters=3335
% 12.01/12.28
% 12.01/12.28 Low Water (keep): wt=116.000, iters=3338
% 12.01/12.28
% 12.01/12.28 Low Water (keep): wt=113.000, iters=3427
% 12.01/12.28
% 12.01/12.28 Low Water (keep): wt=107.000, iters=3434
% 12.01/12.28
% 12.01/12.28 Low Water (keep): wt=104.000, iters=3390
% 12.01/12.28
% 12.01/12.28 Low Water (keep): wt=98.000, iters=3335
% 12.01/12.28
% 12.01/12.28 Low Water (keep): wt=95.000, iters=3374
% 12.01/12.28
% 12.01/12.28 Low Water (keep): wt=93.000, iters=3343
% 12.01/12.28
% 12.01/12.28 Low Water (keep): wt=89.000, iters=3367
% 12.01/12.28
% 12.01/12.28 Low Water (keep): wt=82.000, iters=3333
% 12.01/12.28
% 12.01/12.28 Low Water (keep): wt=81.000, iters=3348
% 12.01/12.28
% 12.01/12.28 Low Water (keep): wt=80.000, iters=3393
% 12.01/12.28
% 12.01/12.28 Low Water (keep): wt=75.000, iters=3344
% 12.01/12.28
% 12.01/12.28 Low Water (keep): wt=74.000, iters=3350
% 12.01/12.28
% 12.01/12.28 Low Water (keep): wt=71.000, iters=3337
% 12.01/12.28
% 12.01/12.28 Low Water (keep): wt=70.000, iters=3410
% 12.01/12.28
% 12.01/12.28 Low Water (keep): wt=69.000, iters=3365
% 12.01/12.28
% 12.01/12.28 Low Water (keep): wt=68.000, iters=3333
% 12.01/12.28
% 12.01/12.28 Low Water (keep): wt=67.000, iters=3347
% 12.01/12.28
% 12.01/12.28 Low Water (keep): wt=66.000, iters=3367
% 12.01/12.28
% 12.01/12.28 Low Water (keep): wt=65.000, iters=3349
% 12.01/12.28
% 12.01/12.28 Low Water (keep): wt=64.000, iters=3336
% 12.01/12.28
% 12.01/12.28 Low Water (keep): wt=63.000, iters=3348
% 266.38/266.71
% 266.38/266.71 Low Water (keep): wt=61.000, iters=3333
% 266.38/266.71
% 266.38/266.71 Low Water (keep): wt=60.000, iters=3384
% 266.38/266.71
% 266.38/266.71 Low Water (keep): wt=58.000, iters=3339
% 266.38/266.71
% 266.38/266.71 Low Water (keep): wt=56.000, iters=3334
% 266.38/266.71
% 266.38/266.71 Low Water (keep): wt=54.000, iters=3335
% 266.38/266.71
% 266.38/266.71 Low Water (keep): wt=53.000, iters=3357
% 266.38/266.71
% 266.38/266.71 Low Water (keep): wt=52.000, iters=3342
% 266.38/266.71
% 266.38/266.71 Low Water (keep): wt=51.000, iters=3401
% 266.38/266.71
% 266.38/266.71 Low Water (keep): wt=49.000, iters=3348
% 266.38/266.71
% 266.38/266.71 Low Water (keep): wt=48.000, iters=3339
% 266.38/266.71
% 266.38/266.71 Low Water (keep): wt=47.000, iters=3336
% 266.38/266.71
% 266.38/266.71 Low Water (keep): wt=46.000, iters=3431
% 266.38/266.71
% 266.38/266.71 Low Water (keep): wt=45.000, iters=3416
% 266.38/266.71
% 266.38/266.71 Low Water (keep): wt=44.000, iters=3341
% 266.38/266.71
% 266.38/266.71 Low Water (keep): wt=43.000, iters=3333
% 266.38/266.71
% 266.38/266.71 Low Water (keep): wt=42.000, iters=3344
% 266.38/266.71
% 266.38/266.71 Low Water (keep): wt=41.000, iters=3366
% 266.38/266.71
% 266.38/266.71 Low Water (keep): wt=40.000, iters=3351
% 266.38/266.71
% 266.38/266.71 Low Water (displace): id=5360, wt=200.000
% 266.38/266.71
% 266.38/266.71 Low Water (displace): id=17445, wt=39.000
% 266.38/266.71
% 266.38/266.71 Low Water (displace): id=17494, wt=38.000
% 266.38/266.71
% 266.38/266.71 Low Water (displace): id=17496, wt=25.000
% 266.38/266.71
% 266.38/266.71 Low Water (displace): id=17601, wt=18.000
% 266.38/266.71
% 266.38/266.71 Low Water (keep): wt=39.000, iters=3362
% 266.38/266.72
% 266.38/266.72 Low Water (displace): id=18370, wt=16.000
% 266.38/266.72
% 266.38/266.72 Low Water (displace): id=18867, wt=14.000
% 266.38/266.72
% 266.38/266.72 Low Water (keep): wt=38.000, iters=3343
% 266.38/266.72
% 266.38/266.72 Low Water (keep): wt=37.000, iters=3338
% 266.38/266.72
% 266.38/266.72 Low Water (keep): wt=36.000, iters=3418
% 266.38/266.72
% 266.38/266.72 Low Water (keep): wt=35.000, iters=3361
% 266.38/266.72
% 266.38/266.72 Low Water (keep): wt=34.000, iters=3340
% 266.38/266.72
% 266.38/266.72 Low Water (keep): wt=33.000, iters=3335
% 266.38/266.72
% 266.38/266.72 Low Water (keep): wt=32.000, iters=3360
% 266.38/266.72
% 266.38/266.72 Low Water (keep): wt=31.000, iters=3343
% 266.38/266.72
% 266.38/266.72 Low Water (keep): wt=30.000, iters=3344
% 266.38/266.72
% 266.38/266.72 Low Water (keep): wt=29.000, iters=3338
% 266.38/266.72
% 266.38/266.72 Low Water (keep): wt=28.000, iters=3333
% 266.38/266.72
% 266.38/266.72 Low Water (keep): wt=27.000, iters=3400
% 266.38/266.72
% 266.38/266.72 Low Water (keep): wt=26.000, iters=3368
% 266.38/266.72
% 266.38/266.72 Low Water (displace): id=30804, wt=13.000
% 266.38/266.72
% 266.38/266.72 Low Water (keep): wt=22.000, iters=4698
% 266.38/266.72
% 266.38/266.72 Low Water (keep): wt=21.000, iters=3997
% 266.38/266.72
% 266.38/266.72 Low Water (keep): wt=20.000, iters=3643
% 266.38/266.72
% 266.38/266.72 Low Water (keep): wt=18.000, iters=4297
% 266.38/266.72
% 266.38/266.72 ============================== PROOF =================================
% 266.38/266.72 % SZS status Unsatisfiable
% 266.38/266.72 % SZS output start Refutation
% 266.38/266.72
% 266.38/266.72 % Proof 1 at 263.27 (+ 2.41) seconds: prove_distributivity.
% 266.38/266.72 % Length of proof is 167.
% 266.38/266.72 % Level of proof is 34.
% 266.38/266.72 % Maximum clause weight is 64.000.
% 266.38/266.72 % Given clauses 3081.
% 266.38/266.72
% 266.38/266.72 1 meet(A,A) = A # label(idempotence_of_meet) # label(axiom). [assumption].
% 266.38/266.72 2 join(A,A) = A # label(idempotence_of_join) # label(axiom). [assumption].
% 266.38/266.72 3 meet(b,a) = a # label(prove_distributivity_hypothesis) # label(hypothesis). [assumption].
% 266.38/266.72 4 join(A,complement(A)) = one # label(complement_join) # label(axiom). [assumption].
% 266.38/266.72 5 meet(A,complement(A)) = zero # label(complement_meet) # label(axiom). [assumption].
% 266.38/266.72 6 meet(A,join(A,B)) = A # label(absorption1) # label(axiom). [assumption].
% 266.38/266.72 7 join(A,meet(A,B)) = A # label(absorption2) # label(axiom). [assumption].
% 266.38/266.72 8 meet(A,B) = meet(B,A) # label(commutativity_of_meet) # label(axiom). [assumption].
% 266.38/266.72 9 join(A,B) = join(B,A) # label(commutativity_of_join) # label(axiom). [assumption].
% 266.38/266.72 10 meet(meet(A,B),C) = meet(A,meet(B,C)) # label(associativity_of_meet) # label(axiom). [assumption].
% 266.38/266.72 11 meet(A,meet(B,C)) = meet(C,meet(A,B)). [copy(10),rewrite([8(2)]),flip(a)].
% 266.38/266.72 12 join(join(A,B),C) = join(A,join(B,C)) # label(associativity_of_join) # label(axiom). [assumption].
% 266.38/266.72 13 join(A,join(B,C)) = join(C,join(A,B)). [copy(12),rewrite([9(2)]),flip(a)].
% 266.38/266.72 14 meet(A,join(B,meet(A,C))) = meet(A,join(meet(A,join(B,meet(A,C))),meet(C,join(A,B)))) # label(equation_H6) # label(axiom). [assumption].
% 266.38/266.72 15 meet(A,join(meet(B,join(A,C)),meet(A,join(C,meet(A,B))))) = meet(A,join(C,meet(A,B))). [copy(14),rewrite([9(9)]),flip(a)].
% 266.38/266.72 16 join(complement(b),complement(a)) != complement(a) # label(prove_distributivity) # label(negated_conjecture) # answer(prove_distributivity). [assumption].
% 266.38/266.72 17 join(complement(a),complement(b)) != complement(a) # answer(prove_distributivity). [copy(16),rewrite([9(5)])].
% 266.38/266.72 18 meet(A,B) != zero | join(A,B) != one | complement(A) = B # label(meet_join_complement) # label(axiom). [assumption].
% 266.38/266.72 19 meet(a,b) = a. [back_rewrite(3),rewrite([8(3)])].
% 266.38/266.72 20 meet(A,one) = A. [para(4(a,1),6(a,1,2))].
% 266.38/266.72 21 join(A,zero) = A. [para(5(a,1),7(a,1,2))].
% 266.38/266.72 22 meet(A,meet(A,B)) = meet(A,B). [para(11(a,1),1(a,1)),rewrite([8(1),8(2),11(2,R),1(1),8(3)])].
% 266.38/266.72 23 meet(A,meet(B,complement(A))) = meet(B,zero). [para(5(a,1),11(a,2,2)),rewrite([8(2)])].
% 266.38/266.72 24 meet(A,meet(B,join(A,C))) = meet(A,B). [para(6(a,1),11(a,2,2)),rewrite([8(2),8(4)])].
% 266.38/266.72 25 join(A,join(A,B)) = join(A,B). [para(13(a,1),2(a,1)),rewrite([9(1),9(2),13(2,R),2(1),9(3)])].
% 266.38/266.72 26 join(A,join(B,complement(A))) = join(B,one). [para(4(a,1),13(a,2,2)),rewrite([9(2)])].
% 266.38/266.72 27 join(A,join(B,meet(A,C))) = join(A,B). [para(7(a,1),13(a,2,2)),rewrite([9(2),9(4)])].
% 266.38/266.72 28 meet(A,join(B,meet(A,join(complement(A),meet(A,B))))) = meet(A,join(complement(A),meet(A,B))). [para(4(a,1),15(a,1,2,1,2)),rewrite([20(2)])].
% 266.38/266.72 29 meet(A,join(meet(A,B),meet(complement(A),join(A,B)))) = meet(A,B). [para(5(a,1),15(a,1,2,2,2,2)),rewrite([21(5),9(5),5(8),21(8)])].
% 266.38/266.72 31 meet(A,join(meet(B,join(A,C)),meet(A,join(C,meet(B,A))))) = meet(A,join(C,meet(B,A))). [para(15(a,1),8(a,2)),rewrite([8(3),8(7),8(8)])].
% 266.38/266.72 33 meet(meet(A,join(B,C)),join(meet(B,join(C,meet(A,B))),meet(meet(A,join(B,C)),join(meet(A,B),meet(B,join(C,meet(A,B))))))) = meet(meet(A,join(B,C)),join(meet(A,B),meet(B,join(C,meet(A,B))))). [para(15(a,1),15(a,1,2,1)),rewrite([8(3),8(8),8(13),24(13),8(11),9(12),8(18),8(23),24(23),8(21),9(22)])].
% 266.38/266.72 37 meet(A,B) != zero | one != A | meet(A,B) = complement(A). [para(7(a,1),18(b,1)),rewrite([22(2)]),flip(b),flip(c)].
% 266.38/266.72 40 meet(A,zero) != zero | one != A | complement(A) = zero. [para(21(a,1),18(b,1)),flip(b)].
% 266.38/266.72 41 meet(A,zero) = zero. [para(5(a,1),22(a,1,2)),rewrite([5(4)])].
% 266.38/266.72 43 one != A | complement(A) = zero. [back_rewrite(40),rewrite([41(2)]),xx(a)].
% 266.38/266.72 44 meet(A,meet(B,complement(A))) = zero. [back_rewrite(23),rewrite([41(5)])].
% 266.38/266.72 45 complement(one) = zero. [hyper(18,a,41,a,b,21,a)].
% 266.38/266.72 46 meet(A,join(meet(A,B),meet(zero,join(A,B)))) = meet(A,B). [para(41(a,1),15(a,1,2,2,2,2)),rewrite([21(5),9(5),41(8),21(8)])].
% 266.38/266.72 49 meet(A,meet(meet(B,join(A,C)),join(C,meet(B,A)))) = meet(B,A). [para(15(a,1),24(a,1,2)),rewrite([8(3),11(6,R),8(5),8(9),24(9),8(7)])].
% 266.38/266.72 50 meet(a,meet(b,join(A,a))) = a. [para(19(a,1),24(a,2)),rewrite([9(4)])].
% 266.38/266.72 51 complement(join(A,one)) = zero. [hyper(43,a,7,a(flip)),rewrite([8(3),20(3),9(2)])].
% 266.38/266.72 53 join(A,one) = one. [para(51(a,1),4(a,1,2)),rewrite([9(4),13(4),9(3),21(3),9(2)])].
% 266.38/266.72 54 join(A,join(B,complement(A))) = one. [back_rewrite(26),rewrite([53(5)])].
% 266.38/266.72 55 complement(zero) = one. [hyper(18,a,20,a,b,53,a)].
% 266.38/266.72 58 meet(A,join(meet(B,join(A,C)),meet(A,join(join(A,C),meet(A,B))))) = meet(A,join(join(A,C),meet(A,B))). [para(25(a,1),15(a,1,2,1,2))].
% 266.38/266.72 61 meet(A,join(meet(A,B),meet(meet(C,complement(A)),join(A,B)))) = meet(A,B). [para(44(a,1),15(a,1,2,2,2,2)),rewrite([21(6),9(6),44(10),21(9)])].
% 266.38/266.72 63 meet(A,join(B,meet(A,join(join(C,complement(A)),meet(A,B))))) = meet(A,join(join(C,complement(A)),meet(A,B))). [para(54(a,1),15(a,1,2,1,2)),rewrite([20(2)])].
% 266.38/266.72 65 meet(a,join(A,a)) = a. [para(50(a,1),11(a,1)),rewrite([19(6),8(5)]),flip(a)].
% 266.38/266.72 67 join(A,join(B,join(C,meet(A,D)))) = join(A,join(B,C)). [para(27(a,1),13(a,2,2)),rewrite([9(3),13(3,R),9(2),13(6),9(5),13(6,R),9(5)])].
% 266.38/266.72 68 meet(A,join(meet(B,join(A,C)),meet(A,join(join(C,meet(A,D)),meet(A,B))))) = meet(A,join(join(C,meet(A,D)),meet(A,B))). [para(27(a,1),15(a,1,2,1,2))].
% 266.38/266.72 78 meet(A,meet(B,join(C,meet(A,join(complement(A),meet(A,C)))))) = meet(A,meet(B,join(complement(A),meet(A,C)))). [para(28(a,1),11(a,2,2)),rewrite([8(6),11(12,R),8(11)])].
% 266.38/266.72 84 meet(A,meet(B,join(complement(B),meet(A,B)))) = meet(A,B). [para(28(a,1),24(a,1,2)),rewrite([8(2)])].
% 266.38/266.72 86 meet(A,join(zero,meet(B,complement(A)))) = zero. [para(44(a,1),28(a,1,2,2,2,2)),rewrite([21(5),5(4),9(4),44(9),21(8),5(7)])].
% 266.38/266.72 89 meet(A,join(zero,complement(A))) = zero. [para(1(a,1),86(a,1,2,2))].
% 266.38/266.72 92 join(zero,complement(A)) = complement(A). [hyper(18,a,89,a,b,54,a),flip(a)].
% 266.38/266.72 93 meet(zero,complement(A)) = zero. [para(89(a,1),15(a,1,2,1)),rewrite([8(6),41(6),21(6),7(6),1(3),8(5),41(5),21(5)]),flip(a)].
% 266.38/266.72 94 meet(A,join(zero,meet(A,B))) = meet(A,B). [para(7(a,1),29(a,1,2,2,2)),rewrite([22(2),8(3),5(3),9(3),22(6)])].
% 266.38/266.72 109 meet(A,meet(B,join(zero,meet(A,C)))) = meet(A,meet(C,B)). [para(94(a,1),11(a,2,2)),rewrite([8(4),11(7),8(6),11(7,R),8(6)])].
% 266.38/266.72 138 meet(A,join(B,meet(A,B))) = meet(A,B). [para(7(a,1),31(a,2,2)),rewrite([8(3),15(7)])].
% 266.38/266.72 139 meet(meet(A,B),join(meet(C,join(D,meet(A,B))),meet(meet(A,B),join(D,meet(A,meet(B,C)))))) = meet(meet(A,B),join(D,meet(A,meet(B,C)))). [para(11(a,1),31(a,1,2,2,2,2)),rewrite([9(3),8(6),11(7,R),8(6),11(14),8(13),11(14,R),8(13)])].
% 266.38/266.72 141 meet(b,join(meet(a,join(A,b)),meet(b,join(A,a)))) = meet(b,join(A,a)). [para(19(a,1),31(a,1,2,2,2,2)),rewrite([9(4),19(15)])].
% 266.38/266.72 144 meet(meet(A,join(B,C)),join(meet(B,join(D,meet(A,join(B,C)))),meet(meet(A,join(B,C)),join(D,meet(A,B))))) = meet(meet(A,join(B,C)),join(D,meet(A,B))). [para(24(a,1),31(a,1,2,2,2,2)),rewrite([9(5),8(9),24(18),8(16)])].
% 266.38/266.72 151 meet(complement(A),join(meet(B,complement(A)),meet(zero,join(B,complement(A))))) = meet(B,complement(A)). [para(93(a,1),31(a,1,2,2,2,2)),rewrite([9(4),21(8),8(7),9(8),93(13),21(12),8(11)])].
% 266.38/266.72 162 meet(A,meet(B,join(C,meet(A,C)))) = meet(A,meet(C,B)). [para(138(a,1),11(a,2,2)),rewrite([8(3),11(6),8(5),11(6,R),8(5)])].
% 266.38/266.72 164 meet(A,join(meet(A,B),meet(B,join(A,C)))) = meet(A,B). [para(24(a,1),138(a,1,2,2)),rewrite([9(4),24(8)])].
% 266.38/266.72 173 meet(A,meet(join(meet(B,join(A,C)),meet(A,join(C,meet(A,B)))),join(meet(A,join(C,meet(A,B))),complement(join(meet(B,join(A,C)),meet(A,join(C,meet(A,B)))))))) = meet(A,join(C,meet(A,B))). [para(15(a,1),84(a,1,2,2,2)),rewrite([9(17),15(26)])].
% 266.38/266.72 256 meet(meet(A,join(B,C)),join(meet(B,join(join(B,C),meet(A,B))),meet(meet(A,join(B,C)),join(meet(A,B),meet(B,join(join(B,C),meet(A,B))))))) = meet(meet(A,join(B,C)),join(meet(A,B),meet(B,join(join(B,C),meet(A,B))))). [para(25(a,1),33(a,1,1,2)),rewrite([25(8),25(19)])].
% 266.38/266.72 468 meet(meet(A,join(B,C)),join(meet(zero,join(meet(A,join(B,C)),meet(B,join(C,meet(A,B))))),meet(meet(A,join(B,C)),join(meet(A,B),meet(B,join(C,meet(A,B))))))) = meet(meet(A,join(B,C)),join(meet(A,B),meet(B,join(C,meet(A,B))))). [para(33(a,1),46(a,1,2,1)),rewrite([27(26),9(19),33(35)])].
% 266.38/266.72 595 meet(A,join(B,join(C,meet(A,D)))) != zero | join(A,join(B,C)) != one | join(B,join(C,meet(A,D))) = complement(A). [para(67(a,1),18(b,1)),flip(c)].
% 266.38/266.72 618 meet(meet(A,B),join(C,meet(A,B))) = meet(A,B). [para(49(a,1),11(a,1)),rewrite([24(6),8(4),8(5)]),flip(a)].
% 266.38/266.72 623 meet(a,meet(b,meet(join(A,a),join(A,b)))) = a. [para(19(a,1),49(a,1,2,2,2)),rewrite([9(4),8(8),11(8,R),8(7),11(9,R),8(8),19(12)])].
% 266.38/266.72 678 meet(a,meet(join(A,a),join(A,b))) = a. [para(623(a,1),11(a,1)),rewrite([19(9),8(8)]),flip(a)].
% 266.38/266.72 686 meet(a,join(A,b)) = a. [para(678(a,1),11(a,1)),rewrite([65(7),8(5)]),flip(a)].
% 266.38/266.72 694 meet(b,join(a,meet(b,join(A,a)))) = meet(b,join(A,a)). [back_rewrite(141),rewrite([686(5)])].
% 266.38/266.72 780 meet(A,join(join(A,B),meet(A,C))) = A. [para(9(a,1),58(a,1,2,2,2)),rewrite([13(5),9(4),7(4),9(3),6(4),9(3),6(4)]),flip(a)].
% 266.38/266.72 799 meet(A,join(one,meet(A,B))) = A. [para(4(a,1),780(a,1,2,1))].
% 266.38/266.72 854 meet(meet(A,join(B,C)),join(meet(meet(A,join(B,C)),join(meet(A,B),meet(B,join(C,meet(A,B))))),meet(meet(D,complement(meet(A,join(B,C)))),join(meet(A,join(B,C)),meet(B,join(C,meet(A,B))))))) = meet(meet(A,join(B,C)),join(meet(A,B),meet(B,join(C,meet(A,B))))). [para(33(a,1),61(a,1,2,1)),rewrite([27(29),33(38)])].
% 266.38/266.72 901 meet(A,join(B,meet(A,join(C,join(complement(A),meet(A,B)))))) = meet(A,join(join(C,complement(A)),meet(A,B))). [para(9(a,1),63(a,1,2,2,2)),rewrite([13(4),9(3),13(4,R),9(3)])].
% 266.38/266.72 902 meet(A,join(join(B,complement(A)),meet(A,C))) = meet(A,join(B,join(complement(A),meet(A,C)))). [para(9(a,1),63(a,2,2)),rewrite([63(7),13(9),9(8),13(9,R),9(8)])].
% 266.38/266.72 964 meet(A,join(B,meet(A,join(C,join(complement(A),meet(A,B)))))) = meet(A,join(C,join(complement(A),meet(A,B)))). [back_rewrite(901),rewrite([902(12)])].
% 266.38/266.72 1035 meet(A,join(join(B,meet(A,C)),meet(A,D))) = meet(A,join(B,join(meet(A,C),meet(A,D)))). [para(9(a,1),68(a,2,2)),rewrite([68(9),13(9,R)])].
% 266.38/266.72 1124 meet(A,join(a,meet(A,join(b,join(meet(A,B),meet(A,a)))))) = meet(A,join(b,join(meet(A,B),meet(A,a)))). [para(686(a,1),68(a,1,2,1)),rewrite([9(7),13(7,R),9(16),13(16,R)])].
% 266.38/266.72 1451 meet(A,join(zero,meet(complement(A),join(A,B)))) = zero. [para(5(a,1),164(a,1,2,1)),rewrite([5(8)])].
% 266.38/266.72 1454 meet(meet(A,join(B,C)),join(meet(A,B),meet(B,join(C,meet(A,B))))) = meet(A,B). [para(15(a,1),164(a,1,2,2)),rewrite([8(5),24(5),8(3),8(4),8(11),24(11),8(9)])].
% 266.38/266.72 1513 meet(meet(A,join(B,C)),join(meet(A,B),meet(meet(D,complement(meet(A,join(B,C)))),join(meet(A,join(B,C)),meet(B,join(C,meet(A,B))))))) = meet(A,B). [back_rewrite(854),rewrite([1454(10),1454(24)])].
% 266.38/266.72 1517 meet(meet(A,join(B,C)),join(meet(A,B),meet(zero,join(meet(A,join(B,C)),meet(B,join(C,meet(A,B))))))) = meet(A,B). [back_rewrite(468),rewrite([1454(18),9(12),1454(21)])].
% 266.38/266.72 1537 meet(zero,meet(complement(A),join(A,B))) = zero. [para(1451(a,1),61(a,1,2,2)),rewrite([55(4),20(4),55(5),20(5),9(8),7(8),1(3),55(4),20(4),55(5),20(5)]),flip(a)].
% 266.38/266.72 1540 meet(zero,join(A,B)) = zero. [para(1537(a,1),11(a,1)),rewrite([93(5),8(4)]),flip(a)].
% 266.38/266.72 1543 meet(meet(A,join(B,C)),join(zero,meet(A,B))) = meet(A,B). [back_rewrite(1517),rewrite([1540(11),9(5)])].
% 266.38/266.72 1546 meet(complement(A),join(zero,meet(B,complement(A)))) = meet(B,complement(A)). [back_rewrite(151),rewrite([1540(7),9(5)])].
% 266.38/266.72 1671 join(complement(A),meet(B,complement(A))) = complement(A). [para(1546(a,1),7(a,1,2))].
% 266.38/266.72 1683 meet(complement(A),join(one,meet(B,complement(A)))) = complement(A). [para(1546(a,1),799(a,1,2,2))].
% 266.38/266.72 1758 meet(complement(A),join(B,complement(A))) = complement(A). [para(1683(a,1),31(a,1,2,2)),rewrite([53(4),20(3),1683(10)])].
% 266.38/266.72 1761 meet(one,complement(A)) = complement(A). [para(1683(a,1),49(a,1,2,1)),rewrite([20(7),9(6),1671(6),1(4),20(6)])].
% 266.38/266.72 2040 meet(b,join(a,meet(b,join(a,b)))) = b. [para(6(a,1),694(a,2)),rewrite([9(6)])].
% 266.38/266.72 2136 meet(b,join(a,b)) = b. [para(2040(a,1),15(a,1,2,2)),rewrite([9(7),1(8),9(6),13(6,R),2(5),2040(14)])].
% 266.38/266.72 2139 meet(b,join(a,join(b,meet(one,b)))) = meet(one,b). [para(2040(a,1),28(a,1,2,2,2,2)),rewrite([2136(7),9(9),4(9),8(7),9(8),13(8),9(7),13(8,R),9(7),2136(19),2136(17),9(14),4(14),8(12)])].
% 266.38/266.72 2147 meet(b,join(A,b)) = b. [para(2040(a,1),618(a,1,1)),rewrite([2136(8),2136(6),2136(11),2136(9)])].
% 266.38/266.72 2151 meet(A,meet(one,b)) = meet(A,b). [para(2040(a,1),78(a,1,2,2,2,2,2)),rewrite([2147(7),9(9),4(9),8(7),9(8),13(8),9(7),13(8,R),9(7),11(10,R),8(9),2139(9),2147(14),2147(12),9(9),4(9),20(7),8(6)])].
% 266.38/266.72 2166 meet(one,b) = b. [para(2151(a,1),1(a,1)),rewrite([8(5),2151(5),1(3)]),flip(a)].
% 266.38/266.72 2170 join(one,b) = one. [para(2166(a,1),7(a,1,2))].
% 266.38/266.72 2171 meet(one,join(zero,b)) = b. [para(2166(a,1),29(a,1,2,1)),rewrite([45(4),2170(6),8(5),41(5),9(4),2166(8)])].
% 266.38/266.72 2249 meet(A,join(zero,b)) = meet(A,b). [para(2171(a,1),11(a,1,2)),rewrite([20(7),8(6)]),flip(a)].
% 266.38/266.72 2250 meet(zero,b) = zero. [para(2171(a,1),24(a,1,2)),rewrite([8(6),41(6)])].
% 266.38/266.72 2257 meet(b,join(zero,meet(A,b))) = meet(A,b). [para(2250(a,1),31(a,1,2,2,2,2)),rewrite([9(4),1540(5),21(5),8(4),2250(10),21(9),8(8)])].
% 266.38/266.72 2314 join(zero,b) = b. [para(2249(a,1),1(a,1)),rewrite([8(5),2249(5),1(3)]),flip(a)].
% 266.38/266.72 2342 join(b,meet(A,b)) = b. [para(2257(a,1),7(a,1,2))].
% 266.38/266.72 2363 join(a,b) = b. [para(19(a,1),2342(a,1,2)),rewrite([9(3)])].
% 266.38/266.72 2420 join(a,join(b,meet(A,a))) = b. [para(2363(a,1),27(a,2)),rewrite([8(4)])].
% 266.38/266.72 2463 join(b,meet(A,a)) = b. [para(2420(a,1),13(a,1)),rewrite([2363(6),9(5)]),flip(a)].
% 266.38/266.72 3718 join(meet(A,B),meet(A,join(B,C))) = meet(A,join(B,C)). [para(1543(a,1),7(a,1,2)),rewrite([9(4)])].
% 266.38/266.72 3722 meet(A,meet(B,join(C,join(D,B)))) = meet(A,B). [para(13(a,2),1543(a,1,1,2)),rewrite([8(7),11(7,R),109(7)])].
% 266.38/266.72 3761 meet(A,join(B,join(join(A,C),meet(A,D)))) = A. [para(780(a,1),1543(a,1,2,2)),rewrite([9(4),9(7),21(7),8(6),22(6),780(9)])].
% 266.38/266.72 4261 meet(meet(meet(A,complement(B)),join(B,C)),join(meet(B,C),meet(A,meet(complement(B),meet(join(B,C),join(zero,meet(B,C))))))) = meet(A,meet(complement(B),meet(join(B,C),join(zero,meet(B,C))))). [para(61(a,1),139(a,1,2,1)),rewrite([8(14),6(14),8(13),44(13),9(12),8(13),11(13),11(12),8(11),11(12,R),8(11),11(13,R),8(12),11(12,R),8(11),8(24),6(24),8(23),44(23),9(22),8(23),11(23),11(22),8(21),11(22,R),8(21),11(23,R),8(22),11(22,R),8(21)])].
% 266.38/266.72 4674 meet(A,meet(meet(B,C),join(B,D))) = meet(A,meet(B,C)). [para(7(a,1),3722(a,1,2,2,2)),rewrite([9(2)])].
% 266.38/266.72 4752 meet(meet(A,join(B,C)),join(D,meet(A,B))) = meet(A,meet(join(B,C),join(D,meet(A,B)))). [para(8(a,1),144(a,2)),rewrite([144(13),11(10,R)])].
% 266.38/266.72 4945 meet(A,join(B,meet(A,join(join(join(B,C),meet(B,D)),meet(A,B))))) = meet(A,join(join(join(B,C),meet(B,D)),meet(A,B))). [para(3761(a,1),15(a,1,2,1))].
% 266.38/266.72 7647 join(meet(A,B),meet(B,join(A,C))) = meet(B,join(A,C)). [para(8(a,1),3718(a,1,1))].
% 266.38/266.72 7654 join(zero,meet(A,B)) = meet(A,B). [para(41(a,1),3718(a,1,1)),rewrite([9(3),21(3),9(5),21(5)])].
% 266.38/266.72 7669 join(meet(A,B),meet(A,meet(B,C))) = meet(A,B). [para(618(a,1),3718(a,1,2)),rewrite([8(2),11(2),8(1),11(2,R),8(1),9(4),618(8)])].
% 266.38/266.72 7773 meet(A,meet(one,join(B,C))) = meet(A,join(B,C)). [para(3718(a,1),173(a,1,2,1,2,2)),rewrite([7(3),8(2),22(5),2(5),3718(6),22(5),7(7),8(6),3718(10),22(9),2(9),4(8),8(4),11(4,R),8(3),22(5),3718(8),22(7)])].
% 266.38/266.72 7926 meet(meet(A,B),meet(meet(C,complement(A)),join(A,B))) = zero. [back_rewrite(4261),rewrite([7654(10),8(9),4674(10),11(8),8(7),5(7),41(7),41(7),9(7),7654(7),8(6),7654(11),8(10),4674(11),11(9),8(8),5(8),41(8),41(8)])].
% 266.38/266.72 9171 meet(one,join(A,B)) = join(A,B). [para(7773(a,1),1(a,1)),rewrite([8(5),7773(5),1(3)]),flip(a)].
% 266.38/266.72 9210 join(join(A,B),meet(C,join(A,B))) = join(A,B). [para(9171(a,1),7669(a,1,1)),rewrite([8(4),11(5,R),8(4),9171(4),9171(7)])].
% 266.38/266.72 9938 join(join(A,B),meet(A,C)) = join(A,B). [para(780(a,1),9210(a,1,2)),rewrite([9(4),27(4),25(2)]),flip(a)].
% 266.38/266.72 9939 join(one,meet(A,B)) = one. [para(799(a,1),9210(a,1,2)),rewrite([9(4),27(4),53(2)]),flip(a)].
% 266.38/266.72 9975 meet(A,join(B,meet(A,join(join(B,C),meet(A,B))))) = meet(A,join(join(B,C),meet(A,B))). [back_rewrite(4945),rewrite([9938(3),9938(9)])].
% 266.38/266.72 10084 join(join(A,B),meet(B,C)) = join(A,B). [para(9(a,1),9938(a,1,1)),rewrite([9(4)])].
% 266.38/266.72 10090 meet(A,join(join(B,C),meet(A,B))) = meet(A,join(B,C)). [para(9938(a,1),31(a,2,2)),rewrite([8(5),15(9)])].
% 266.38/266.72 10117 meet(A,join(B,meet(A,join(B,C)))) = meet(A,join(B,C)). [back_rewrite(9975),rewrite([10090(4),10090(8)])].
% 266.38/266.72 10175 join(join(A,B),meet(C,join(B,meet(A,D)))) = join(A,B). [para(27(a,1),10084(a,1,1)),rewrite([8(4),27(8)])].
% 266.38/266.72 13237 meet(meet(A,join(B,C)),join(meet(A,B),meet(B,join(join(B,C),meet(A,B))))) = meet(A,B). [para(9(a,1),256(a,2,2,2,2)),rewrite([256(17),13(15),9(14),13(15,R),9(14),6(16),9(13),4752(14),162(14),6(11)])].
% 266.38/266.72 13262 meet(A,meet(meet(B,C),complement(meet(B,join(C,D))))) = zero. [para(256(a,1),7926(a,1,1)),rewrite([13237(9),13237(20),9(13),13(14,R),9(13),24(16),11(6,R),8(5)])].
% 266.38/266.72 13902 meet(meet(A,B),complement(meet(A,join(B,C)))) = zero. [hyper(18,a,13262,a,b,9939,a),rewrite([45(2)]),flip(a)].
% 266.38/266.72 14099 meet(join(A,B),complement(join(A,join(B,C)))) = zero. [para(9171(a,1),13902(a,1,1)),rewrite([9(4),13(4),9(3),13(4,R),9(3),9171(5)])].
% 266.38/266.72 14318 meet(meet(A,B),complement(join(C,meet(A,B)))) = zero. [para(7654(a,1),14099(a,1,1)),rewrite([9(4),13(5,R),9(4),7654(4)])].
% 266.38/266.72 26488 join(A,meet(B,A)) = A. [para(4(a,1),7647(a,1,2,2)),rewrite([20(3),9(2),4(4),20(4)])].
% 266.38/266.72 27568 meet(A,meet(complement(join(B,C)),join(B,meet(C,D)))) = zero. [para(10175(a,1),14318(a,1,2,1)),rewrite([9(4),8(6),11(6,R),8(5)])].
% 266.38/266.72 27701 meet(complement(join(A,B)),join(A,meet(B,C))) = zero. [hyper(18,a,27568,a,b,9939,a),rewrite([45(2)]),flip(a)].
% 266.38/266.72 27725 meet(complement(join(A,B)),join(B,meet(A,C))) = zero. [para(9(a,1),27701(a,1,1,1))].
% 266.38/266.72 27857 meet(A,complement(join(B,join(C,A)))) = zero. [para(14099(a,1),27725(a,1,2,2)),rewrite([9(2),13(2),9(1),13(2,R),9(1),21(5),8(4)])].
% 266.38/266.72 27878 meet(join(A,meet(B,C)),complement(join(A,join(B,D)))) = zero. [para(27(a,1),27857(a,1,2,1,2)),rewrite([9(3),13(4),9(3),13(4,R),9(3)])].
% 266.38/266.72 28398 meet(join(A,meet(B,C)),complement(join(B,join(A,D)))) = zero. [para(9(a,1),27878(a,1,1)),rewrite([9(2),13(4,R),9(3)])].
% 266.38/266.72 28990 meet(complement(join(A,b)),join(a,meet(A,B))) = zero. [para(2363(a,1),28398(a,1,2,1,2)),rewrite([8(7)])].
% 266.38/266.72 29001 meet(join(a,complement(A)),complement(join(complement(A),b))) = zero. [para(1758(a,1),28990(a,1,2,2)),rewrite([8(8)])].
% 266.38/266.72 29008 complement(join(b,complement(a))) = zero. [hyper(37,a,29001,a,b,4,a(flip)),rewrite([4(4),9(5),1761(7),4(9),45(7)])].
% 266.38/266.72 29024 join(A,join(b,complement(a))) = one. [para(29008(a,1),54(a,1,2,2)),rewrite([21(6),9(5)])].
% 266.38/266.72 29027 join(b,complement(a)) = one. [hyper(595,a,1540,a,b,29024,a),rewrite([8(5),41(5),9(5),92(5),55(6)])].
% 266.38/266.72 29032 meet(b,join(complement(b),meet(b,complement(a)))) = meet(b,complement(a)). [para(29027(a,1),29(a,1,2,2,2)),rewrite([8(9),1761(9),9(8)])].
% 266.38/266.72 29879 join(join(A,B),complement(C)) = join(A,join(B,complement(C))). [para(1761(a,1),1035(a,1,2,2)),rewrite([8(3),20(3),9171(5),8(6),20(6),1761(7),9171(8)])].
% 266.38/266.72 29880 meet(A,join(b,join(meet(A,a),meet(A,B)))) = meet(A,join(b,meet(A,B))). [para(2463(a,1),1035(a,1,2,1)),flip(a)].
% 266.38/266.72 30109 join(A,join(meet(A,B),complement(C))) = join(A,complement(C)). [para(7(a,1),29879(a,1,1)),flip(a)].
% 266.38/266.72 30872 meet(A,join(b,join(meet(A,B),meet(A,a)))) = meet(A,join(a,meet(A,join(b,meet(A,B))))). [para(9(a,1),1124(a,1,2,2,2,2)),rewrite([29880(8)]),flip(a)].
% 266.38/266.72 30873 meet(A,join(a,meet(A,join(b,meet(A,B))))) = meet(A,join(b,meet(A,B))). [para(9(a,1),1124(a,2,2,2)),rewrite([30872(8),10117(10),29880(14)])].
% 266.38/266.72 30875 meet(A,meet(a,join(b,meet(A,B)))) = meet(A,a). [para(1124(a,1),24(a,1,2)),rewrite([30872(8),30873(8),11(6,R),8(5),8(8)])].
% 266.38/266.72 31043 join(A,complement(meet(A,B))) = one. [para(4(a,1),30109(a,1,2)),rewrite([53(2)]),flip(a)].
% 266.38/266.72 32013 meet(meet(A,a),join(b,meet(A,B))) = meet(A,a). [para(30875(a,1),11(a,1)),rewrite([8(8)]),flip(a)].
% 266.38/266.72 32965 meet(a,meet(b,join(A,B))) = meet(a,join(A,B)). [para(14099(a,1),32013(a,1,2,2)),rewrite([8(3),9(6),2314(6),8(5),11(5,R),8(4),8(8)])].
% 266.38/266.72 33927 join(complement(meet(A,B)),meet(A,join(B,C))) = one. [para(1513(a,1),31043(a,1,2,1)),rewrite([9(5)])].
% 266.38/266.72 33938 join(complement(meet(A,B)),meet(B,join(A,C))) = one. [para(8(a,1),33927(a,1,1,1))].
% 266.38/266.72 34209 meet(A,join(B,join(complement(A),meet(A,complement(meet(A,B)))))) = A. [para(33938(a,1),964(a,1,2)),rewrite([20(2),8(2)]),flip(a)].
% 266.38/266.72 35411 meet(a,join(complement(b),meet(b,complement(a)))) = zero. [para(29032(a,1),32965(a,1,2)),rewrite([44(6)]),flip(a)].
% 266.38/266.72 46705 join(A,join(complement(B),meet(B,complement(meet(A,B))))) = one. [para(34209(a,1),26488(a,1,2)),rewrite([8(2),9(7),67(7),54(3),8(3)]),flip(a)].
% 266.38/266.72 46725 join(a,join(complement(b),meet(b,complement(a)))) = one. [para(19(a,1),46705(a,1,2,2,2,1))].
% 266.38/266.72 46733 join(complement(b),meet(b,complement(a))) = complement(a). [hyper(18,a,35411,a,b,46725,a),flip(a)].
% 266.38/266.72 46737 join(complement(a),complement(b)) = complement(a). [para(46733(a,1),25(a,1,2)),rewrite([9(5),46733(12)])].
% 266.38/266.72 46738 $F # answer(prove_distributivity). [resolve(46737,a,17,a)].
% 266.38/266.72
% 266.38/266.72 % SZS output end Refutation
% 266.38/266.72 ============================== end of proof ==========================
% 266.38/266.72
% 266.38/266.72 ============================== STATISTICS ============================
% 266.38/266.72
% 266.38/266.72 Given=3081. Generated=4405087. Kept=46733. proofs=1.
% 266.38/266.72 Usable=2147. Sos=9958. Demods=11524. Limbo=2, Disabled=34639. Hints=0.
% 266.38/266.72 Megabytes=55.05.
% 266.38/266.72 User_CPU=263.27, System_CPU=2.41, Wall_clock=266.
% 266.38/266.72
% 266.38/266.72 ============================== end of statistics =====================
% 266.38/266.72
% 266.38/266.72 ============================== end of search =========================
% 266.38/266.72
% 266.38/266.72 THEOREM PROVED
% 266.38/266.72 % SZS status Unsatisfiable
% 266.38/266.72
% 266.38/266.72 Exiting with 1 proof.
% 266.38/266.72
% 266.38/266.72 Process 402 exit (max_proofs) Wed Jun 29 11:30:27 2022
% 266.38/266.72 Prover9 interrupted
%------------------------------------------------------------------------------