TSTP Solution File: LAT214-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT214-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n006.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 06:26:10 EDT 2022
% Result : Unsatisfiable 17.41s 17.70s
% Output : Refutation 17.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT214-1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 30 03:33:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 10.43/10.73 ============================== Prover9 ===============================
% 10.43/10.73 Prover9 (32) version 2009-11A, November 2009.
% 10.43/10.73 Process 7065 was started by sandbox on n006.cluster.edu,
% 10.43/10.73 Thu Jun 30 03:33:24 2022
% 10.43/10.73 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_6911_n006.cluster.edu".
% 10.43/10.73 ============================== end of head ===========================
% 10.43/10.73
% 10.43/10.73 ============================== INPUT =================================
% 10.43/10.73
% 10.43/10.73 % Reading from file /tmp/Prover9_6911_n006.cluster.edu
% 10.43/10.73
% 10.43/10.73 set(prolog_style_variables).
% 10.43/10.73 set(auto2).
% 10.43/10.73 % set(auto2) -> set(auto).
% 10.43/10.73 % set(auto) -> set(auto_inference).
% 10.43/10.73 % set(auto) -> set(auto_setup).
% 10.43/10.73 % set(auto_setup) -> set(predicate_elim).
% 10.43/10.73 % set(auto_setup) -> assign(eq_defs, unfold).
% 10.43/10.73 % set(auto) -> set(auto_limits).
% 10.43/10.73 % set(auto_limits) -> assign(max_weight, "100.000").
% 10.43/10.73 % set(auto_limits) -> assign(sos_limit, 20000).
% 10.43/10.73 % set(auto) -> set(auto_denials).
% 10.43/10.73 % set(auto) -> set(auto_process).
% 10.43/10.73 % set(auto2) -> assign(new_constants, 1).
% 10.43/10.73 % set(auto2) -> assign(fold_denial_max, 3).
% 10.43/10.73 % set(auto2) -> assign(max_weight, "200.000").
% 10.43/10.73 % set(auto2) -> assign(max_hours, 1).
% 10.43/10.73 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 10.43/10.73 % set(auto2) -> assign(max_seconds, 0).
% 10.43/10.73 % set(auto2) -> assign(max_minutes, 5).
% 10.43/10.73 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 10.43/10.73 % set(auto2) -> set(sort_initial_sos).
% 10.43/10.73 % set(auto2) -> assign(sos_limit, -1).
% 10.43/10.73 % set(auto2) -> assign(lrs_ticks, 3000).
% 10.43/10.73 % set(auto2) -> assign(max_megs, 400).
% 10.43/10.73 % set(auto2) -> assign(stats, some).
% 10.43/10.73 % set(auto2) -> clear(echo_input).
% 10.43/10.73 % set(auto2) -> set(quiet).
% 10.43/10.73 % set(auto2) -> clear(print_initial_clauses).
% 10.43/10.73 % set(auto2) -> clear(print_given).
% 10.43/10.73 assign(lrs_ticks,-1).
% 10.43/10.73 assign(sos_limit,10000).
% 10.43/10.73 assign(order,kbo).
% 10.43/10.73 set(lex_order_vars).
% 10.43/10.73 clear(print_given).
% 10.43/10.73
% 10.43/10.73 % formulas(sos). % not echoed (13 formulas)
% 10.43/10.73
% 10.43/10.73 ============================== end of input ==========================
% 10.43/10.73
% 10.43/10.73 % From the command line: assign(max_seconds, 300).
% 10.43/10.73
% 10.43/10.73 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 10.43/10.73
% 10.43/10.73 % Formulas that are not ordinary clauses:
% 10.43/10.73
% 10.43/10.73 ============================== end of process non-clausal formulas ===
% 10.43/10.73
% 10.43/10.73 ============================== PROCESS INITIAL CLAUSES ===============
% 10.43/10.73
% 10.43/10.73 ============================== PREDICATE ELIMINATION =================
% 10.43/10.73
% 10.43/10.73 ============================== end predicate elimination =============
% 10.43/10.73
% 10.43/10.73 Auto_denials:
% 10.43/10.73 % copying label prove_distributivity to answer in negative clause
% 10.43/10.73
% 10.43/10.73 Term ordering decisions:
% 10.43/10.73
% 10.43/10.73 % Assigning unary symbol complement kb_weight 0 and highest precedence (9).
% 10.43/10.73 Function symbol KB weights: one=1. zero=1. a=1. b=1. c=1. meet=1. join=1. complement=0.
% 10.43/10.73
% 10.43/10.73 ============================== end of process initial clauses ========
% 10.43/10.73
% 10.43/10.73 ============================== CLAUSES FOR SEARCH ====================
% 10.43/10.73
% 10.43/10.73 ============================== end of clauses for search =============
% 10.43/10.73
% 10.43/10.73 ============================== SEARCH ================================
% 10.43/10.73
% 10.43/10.73 % Starting search at 0.01 seconds.
% 10.43/10.73
% 10.43/10.73 Low Water (keep): wt=99.000, iters=3390
% 10.43/10.73
% 10.43/10.73 Low Water (keep): wt=77.000, iters=3339
% 10.43/10.73
% 10.43/10.73 Low Water (keep): wt=65.000, iters=3386
% 10.43/10.73
% 10.43/10.73 Low Water (keep): wt=61.000, iters=3388
% 10.43/10.73
% 10.43/10.73 Low Water (keep): wt=59.000, iters=3358
% 10.43/10.73
% 10.43/10.73 Low Water (keep): wt=57.000, iters=3346
% 10.43/10.73
% 10.43/10.73 Low Water (keep): wt=55.000, iters=3350
% 10.43/10.73
% 10.43/10.73 Low Water (keep): wt=53.000, iters=3466
% 10.43/10.73
% 10.43/10.73 Low Water (keep): wt=51.000, iters=3399
% 10.43/10.73
% 10.43/10.73 Low Water (keep): wt=49.000, iters=3385
% 10.43/10.73
% 10.43/10.73 Low Water (keep): wt=47.000, iters=3371
% 10.43/10.73
% 10.43/10.73 Low Water (keep): wt=46.000, iters=3375
% 10.43/10.73
% 10.43/10.73 Low Water (keep): wt=45.000, iters=3391
% 10.43/10.73
% 10.43/10.73 Low Water (keep): wt=44.000, iters=3373
% 10.43/10.73
% 10.43/10.73 Low Water (keep): wt=43.000, iters=3360
% 10.43/10.73
% 10.43/10.73 Low Water (keep): wt=41.000, iters=3333
% 10.43/10.73
% 10.43/10.73 Low Water (keep): wt=40.000, iters=3451
% 10.43/10.73
% 10.43/10.73 Low Water (keep): wt=39.000, iters=3410
% 10.43/10.73
% 10.43/10.73 Low Water (keep): wt=38.000, iters=3365
% 10.43/10.73
% 10.43/10.73 Low Water (keep): wt=37.000, iters=3366
% 10.43/10.73
% 10.43/10.73 Low Water (keep): wt=36.000, iters=3380
% 10.43/10.73
% 10.43/10.73 Low Water (keep): wt=35.000, iters=3338
% 10.43/10.73
% 10.43/10.73 Low Water (keep): wt=34.000, iters=3335
% 10.43/10.73
% 10.43/10.73 Low Water (keep): wt=33.000, iters=3353
% 10.43/10.73
% 10.43/10.73 Low Water (keep): wt=32.000, iters=3339
% 10.43/10.73
% 10.43/10.73 Low Water (keep): wt=31.000, iters=3335
% 10.43/10.73
% 10.43/10.73 Low Water (keep): wt=30.000, iters=3339
% 17.41/17.70
% 17.41/17.70 Low Water (keep): wt=29.000, iters=3335
% 17.41/17.70
% 17.41/17.70 Low Water (displace): id=14398, wt=18.000
% 17.41/17.70
% 17.41/17.70 Low Water (displace): id=14406, wt=17.000
% 17.41/17.70
% 17.41/17.70 Low Water (displace): id=14446, wt=16.000
% 17.41/17.70
% 17.41/17.70 Low Water (keep): wt=28.000, iters=3353
% 17.41/17.70
% 17.41/17.70 Low Water (displace): id=15385, wt=14.000
% 17.41/17.70
% 17.41/17.70 Low Water (keep): wt=27.000, iters=3333
% 17.41/17.70
% 17.41/17.70 ============================== PROOF =================================
% 17.41/17.70 % SZS status Unsatisfiable
% 17.41/17.70 % SZS output start Refutation
% 17.41/17.70
% 17.41/17.70 % Proof 1 at 16.49 (+ 0.21) seconds: prove_distributivity.
% 17.41/17.70 % Length of proof is 199.
% 17.41/17.70 % Level of proof is 60.
% 17.41/17.70 % Maximum clause weight is 35.000.
% 17.41/17.70 % Given clauses 631.
% 17.41/17.70
% 17.41/17.70 1 meet(A,A) = A # label(idempotence_of_meet) # label(axiom). [assumption].
% 17.41/17.70 2 join(A,A) = A # label(idempotence_of_join) # label(axiom). [assumption].
% 17.41/17.70 3 join(A,complement(A)) = one # label(complement_join) # label(axiom). [assumption].
% 17.41/17.70 4 meet(A,complement(A)) = zero # label(complement_meet) # label(axiom). [assumption].
% 17.41/17.70 5 meet(A,join(A,B)) = A # label(absorption1) # label(axiom). [assumption].
% 17.41/17.70 6 join(A,meet(A,B)) = A # label(absorption2) # label(axiom). [assumption].
% 17.41/17.70 7 meet(A,B) = meet(B,A) # label(commutativity_of_meet) # label(axiom). [assumption].
% 17.41/17.70 8 join(A,B) = join(B,A) # label(commutativity_of_join) # label(axiom). [assumption].
% 17.41/17.70 9 meet(meet(A,B),C) = meet(A,meet(B,C)) # label(associativity_of_meet) # label(axiom). [assumption].
% 17.41/17.70 10 meet(A,meet(B,C)) = meet(C,meet(A,B)). [copy(9),rewrite([7(2)]),flip(a)].
% 17.41/17.70 11 join(join(A,B),C) = join(A,join(B,C)) # label(associativity_of_join) # label(axiom). [assumption].
% 17.41/17.70 12 join(A,join(B,C)) = join(C,join(A,B)). [copy(11),rewrite([8(2)]),flip(a)].
% 17.41/17.70 13 meet(A,join(B,meet(C,join(A,D)))) = meet(A,join(meet(A,join(B,meet(A,C))),meet(C,D))) # label(equation_H79) # label(axiom). [assumption].
% 17.41/17.70 14 meet(A,join(meet(A,join(B,meet(A,C))),meet(C,D))) = meet(A,join(B,meet(C,join(A,D)))). [copy(13),flip(a)].
% 17.41/17.70 15 meet(a,join(b,c)) != join(meet(a,b),meet(a,c)) # label(prove_distributivity) # label(negated_conjecture) # answer(prove_distributivity). [assumption].
% 17.41/17.70 16 join(meet(a,b),meet(a,c)) != meet(a,join(b,c)) # answer(prove_distributivity). [copy(15),flip(a)].
% 17.41/17.70 17 meet(A,B) != zero | join(A,B) != one | complement(A) = B # label(meet_join_complement) # label(axiom). [assumption].
% 17.41/17.70 18 meet(A,one) = A. [para(3(a,1),5(a,1,2))].
% 17.41/17.70 19 join(A,zero) = A. [para(4(a,1),6(a,1,2))].
% 17.41/17.70 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)])].
% 17.41/17.70 21 meet(A,meet(B,complement(A))) = meet(B,zero). [para(4(a,1),10(a,2,2)),rewrite([7(2)])].
% 17.41/17.70 22 meet(A,meet(B,join(A,C))) = meet(A,B). [para(5(a,1),10(a,2,2)),rewrite([7(2),7(4)])].
% 17.41/17.70 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)])].
% 17.41/17.70 24 join(A,join(B,complement(A))) = join(B,one). [para(3(a,1),12(a,2,2)),rewrite([8(2)])].
% 17.41/17.70 25 join(A,join(B,meet(A,C))) = join(A,B). [para(6(a,1),12(a,2,2)),rewrite([8(2),8(4)])].
% 17.41/17.70 26 meet(A,join(B,meet(A,join(C,meet(A,B))))) = meet(A,join(C,meet(B,join(A,B)))). [para(1(a,1),14(a,1,2,2)),rewrite([8(4)])].
% 17.41/17.70 27 meet(A,join(meet(A,B),meet(B,join(A,C)))) = meet(A,join(meet(A,B),meet(B,C))). [para(2(a,1),14(a,1,2,1,2)),rewrite([20(2)]),flip(a)].
% 17.41/17.70 28 meet(A,join(meet(A,B),meet(A,join(C,meet(A,B))))) = meet(A,join(C,meet(A,B))). [para(2(a,1),14(a,2,2,2,2)),rewrite([7(4),8(5),7(7)])].
% 17.41/17.70 29 meet(A,join(meet(B,C),meet(A,join(meet(A,B),meet(B,C))))) = meet(A,B). [para(2(a,1),14(a,2,2)),rewrite([8(4),27(5),8(6),22(10)])].
% 17.41/17.70 31 meet(A,join(meet(A,B),meet(C,complement(A)))) = meet(A,join(B,meet(complement(A),join(A,C)))). [para(4(a,1),14(a,1,2,1,2,2)),rewrite([19(2),7(3)])].
% 17.41/17.70 32 meet(A,join(zero,meet(A,join(B,meet(A,C))))) = meet(A,join(B,meet(C,join(A,complement(C))))). [para(4(a,1),14(a,1,2,2)),rewrite([8(5)])].
% 17.41/17.70 36 meet(A,join(meet(B,C),meet(A,join(D,meet(A,B))))) = meet(A,join(D,meet(B,join(A,C)))). [para(8(a,1),14(a,1,2))].
% 17.41/17.70 37 meet(A,meet(B,join(meet(A,join(C,meet(A,D))),meet(D,E)))) = meet(A,meet(B,join(C,meet(D,join(A,E))))). [para(14(a,1),10(a,2,2)),rewrite([7(6),10(12,R),7(11)])].
% 17.41/17.70 43 meet(A,B) != zero | one != A | meet(A,B) = complement(A). [para(6(a,1),17(b,1)),rewrite([20(2)]),flip(b),flip(c)].
% 17.41/17.70 44 meet(A,join(B,meet(one,join(A,C)))) = A. [para(18(a,1),14(a,1,2,1,2,2)),rewrite([8(1),5(2),7(2),18(2),5(2)]),flip(a)].
% 17.41/17.70 45 meet(A,join(B,meet(C,join(A,one)))) = meet(A,join(B,meet(C,join(A,C)))). [para(18(a,1),14(a,1,2,2)),rewrite([8(4),26(5)]),flip(a)].
% 17.41/17.70 46 meet(A,zero) != zero | one != A | complement(A) = zero. [para(19(a,1),17(b,1)),flip(b)].
% 17.41/17.70 47 meet(A,zero) = zero. [para(4(a,1),20(a,1,2)),rewrite([4(4)])].
% 17.41/17.70 49 meet(A,join(B,meet(C,join(A,meet(C,D))))) = meet(A,join(B,meet(C,join(A,D)))). [para(20(a,1),14(a,1,2,2)),rewrite([14(6)]),flip(a)].
% 17.41/17.70 50 one != A | complement(A) = zero. [back_rewrite(46),rewrite([47(2)]),xx(a)].
% 17.41/17.70 51 meet(A,meet(B,complement(A))) = zero. [back_rewrite(21),rewrite([47(5)])].
% 17.41/17.70 52 complement(one) = zero. [hyper(17,a,47,a,b,19,a)].
% 17.41/17.70 54 meet(A,join(zero,meet(A,join(B,meet(A,C))))) = meet(A,join(B,meet(A,C))). [para(47(a,1),14(a,1,2,2)),rewrite([8(5),19(8),7(7)])].
% 17.41/17.70 55 meet(A,join(B,meet(C,join(A,complement(C))))) = meet(A,join(B,meet(A,C))). [back_rewrite(32),rewrite([54(6)]),flip(a)].
% 17.41/17.70 59 meet(A,meet(join(B,meet(A,C)),join(B,meet(C,join(A,D))))) = meet(A,join(B,meet(A,C))). [para(14(a,1),22(a,1,2)),rewrite([10(8,R),10(7),7(6),10(7,R),7(6),20(8),7(11),20(11)])].
% 17.41/17.70 60 complement(join(A,one)) = zero. [hyper(50,a,6,a(flip)),rewrite([7(3),18(3),8(2)])].
% 17.41/17.70 62 join(A,one) = one. [para(60(a,1),3(a,1,2)),rewrite([8(4),12(4),8(3),19(3),8(2)])].
% 17.41/17.70 63 meet(A,join(B,meet(C,join(A,C)))) = meet(A,join(B,C)). [back_rewrite(45),rewrite([62(2),18(2)]),flip(a)].
% 17.41/17.70 64 join(A,join(B,complement(A))) = one. [back_rewrite(24),rewrite([62(5)])].
% 17.41/17.70 66 meet(A,join(B,meet(A,join(C,meet(A,B))))) = meet(A,join(B,C)). [back_rewrite(26),rewrite([63(9),8(6)])].
% 17.41/17.70 67 complement(zero) = one. [hyper(17,a,18,a,b,62,a)].
% 17.41/17.70 68 zero != A | complement(A) = one. [para(62(a,1),17(b,1)),rewrite([18(2)]),flip(a),xx(b)].
% 17.41/17.70 76 meet(A,join(B,meet(A,C))) != zero | join(A,B) != one | join(B,meet(A,C)) = complement(A). [para(25(a,1),17(b,1)),flip(c)].
% 17.41/17.70 82 complement(meet(zero,join(A,B))) = one. [hyper(68,a,44,a(flip)),rewrite([8(4),19(4),7(3),18(3)])].
% 17.41/17.70 87 join(one,meet(zero,join(A,B))) = one. [para(82(a,1),3(a,1,2)),rewrite([8(5)])].
% 17.41/17.70 89 meet(A,meet(zero,join(B,C))) = zero. [para(82(a,1),51(a,1,2,2)),rewrite([18(5),7(4)])].
% 17.41/17.70 92 meet(A,join(zero,meet(A,B))) = meet(A,B). [para(4(a,1),27(a,2,2,2)),rewrite([55(6),2(3),20(2),8(4)]),flip(a)].
% 17.41/17.70 107 meet(zero,join(A,B)) = zero. [para(87(a,1),17(b,1)),rewrite([89(5),52(8)]),flip(c),xx(a),xx(b)].
% 17.41/17.70 110 meet(A,join(meet(A,B),meet(B,C))) = meet(A,join(zero,meet(B,join(A,C)))). [para(92(a,1),14(a,1,2,1))].
% 17.41/17.70 130 meet(A,B) != zero | one != B | meet(A,B) = complement(B). [para(7(a,1),43(a,1)),rewrite([7(6)])].
% 17.41/17.70 132 meet(A,meet(B,C)) != zero | one != C | meet(A,meet(B,C)) = complement(C). [para(10(a,2),43(a,1)),rewrite([10(8),7(7),10(8,R),7(7)])].
% 17.41/17.70 144 meet(meet(A,B),join(meet(meet(A,B),join(C,meet(A,meet(B,D)))),meet(D,join(meet(A,D),meet(A,B))))) = meet(meet(A,B),join(C,meet(A,D))). [para(29(a,1),14(a,2,2,2)),rewrite([7(4),10(4),7(3),10(4,R),7(3),7(7),20(11),7(14)])].
% 17.41/17.70 148 meet(meet(A,B),join(A,C)) = meet(A,B). [para(29(a,1),44(a,1,2,2)),rewrite([7(3),18(3),8(2)])].
% 17.41/17.70 159 meet(meet(A,B),join(B,C)) = meet(A,B). [para(7(a,1),148(a,1,1)),rewrite([7(4)])].
% 17.41/17.70 164 meet(meet(A,B),meet(join(A,C),join(D,meet(A,B)))) = meet(A,B). [para(148(a,1),22(a,2)),rewrite([8(4)])].
% 17.41/17.70 166 meet(meet(A,B),join(C,meet(A,B))) = meet(A,B). [para(148(a,1),28(a,1,2,1)),rewrite([148(6),6(7),1(3),148(5)]),flip(a)].
% 17.41/17.70 192 meet(A,join(complement(A),meet(A,B))) = meet(A,join(B,complement(A))). [para(1(a,1),31(a,1,2,2)),rewrite([8(3),3(7),18(7)])].
% 17.41/17.70 193 meet(A,join(zero,meet(B,complement(A)))) = zero. [para(2(a,1),31(a,2,2)),rewrite([22(4),4(2),22(9),4(7)])].
% 17.41/17.70 205 meet(A,join(meet(B,complement(A)),meet(complement(A),join(A,C)))) = zero. [para(51(a,1),31(a,1,2,1)),rewrite([193(5)]),flip(a)].
% 17.41/17.70 231 meet(A,join(zero,complement(A))) = zero. [para(1(a,1),193(a,1,2,2))].
% 17.41/17.70 238 join(zero,complement(A)) = complement(A). [hyper(17,a,231,a,b,64,a),flip(a)].
% 17.41/17.70 239 meet(zero,complement(A)) = zero. [para(238(a,1),5(a,1,2))].
% 17.41/17.70 279 meet(A,join(meet(B,C),meet(A,join(D,meet(A,C))))) = meet(A,join(D,meet(C,join(A,B)))). [para(7(a,1),36(a,1,2,1))].
% 17.41/17.70 385 meet(A,meet(B,join(C,meet(A,B)))) = meet(A,B). [para(29(a,1),37(a,1,2)),rewrite([7(1),20(2),7(2),25(7),6(3),7(2)]),flip(a)].
% 17.41/17.70 918 meet(A,join(B,meet(A,B))) = meet(A,B). [para(6(a,1),55(a,1,2)),flip(a)].
% 17.41/17.70 944 meet(A,join(meet(A,B),meet(B,C))) = meet(A,B). [para(918(a,1),14(a,1,2,1)),rewrite([6(7)])].
% 17.41/17.70 950 meet(A,join(meet(B,C),meet(A,B))) = meet(A,B). [para(918(a,1),29(a,1,2,1)),rewrite([918(5),944(5)])].
% 17.41/17.70 1002 meet(A,join(zero,meet(B,join(A,C)))) = meet(A,B). [back_rewrite(110),rewrite([944(4)]),flip(a)].
% 17.41/17.70 1069 meet(A,join(meet(B,C),meet(B,A))) = meet(B,A). [para(950(a,1),7(a,2)),rewrite([7(2),7(4),7(5)])].
% 17.41/17.70 1070 meet(A,join(meet(B,C),meet(A,C))) = meet(A,C). [para(7(a,1),950(a,1,2,1))].
% 17.41/17.70 1071 meet(A,join(meet(B,meet(C,D)),meet(A,C))) = meet(A,C). [para(10(a,1),950(a,1,2,1))].
% 17.41/17.70 1112 meet(A,join(zero,meet(B,C))) = meet(A,meet(B,C)). [para(166(a,1),1002(a,1,2,2))].
% 17.41/17.70 1180 meet(A,join(meet(B,C),meet(C,A))) = meet(C,A). [para(1070(a,1),7(a,2)),rewrite([7(2),7(4),7(5)])].
% 17.41/17.70 1181 meet(A,meet(B,join(meet(C,D),meet(A,D)))) = meet(A,meet(D,B)). [para(1070(a,1),10(a,2,2)),rewrite([7(4),10(7),7(6),10(7,R),7(6)])].
% 17.41/17.70 1247 join(zero,meet(A,B)) = meet(A,B). [para(1112(a,1),1(a,1)),rewrite([7(5),1112(5),1(3)]),flip(a)].
% 17.41/17.70 1308 meet(one,join(A,meet(B,A))) = A. [para(18(a,1),1180(a,1,2,2)),rewrite([8(3),18(6)])].
% 17.41/17.70 1311 meet(one,complement(A)) = complement(A). [para(4(a,1),1308(a,1,2,2)),rewrite([19(4)])].
% 17.41/17.70 1312 meet(one,join(A,B)) = join(A,B). [para(5(a,1),1308(a,1,2,2)),rewrite([8(3),23(3)])].
% 17.41/17.70 1313 join(A,meet(B,A)) = A. [para(8(a,1),1308(a,1,2)),rewrite([8(3),1312(4)])].
% 17.41/17.70 1315 join(join(A,B),meet(B,C)) = join(A,B). [para(1308(a,1),14(a,1,2,1,2,2)),rewrite([1312(4),7(3),6(4),1312(5),7(5),6(6),8(6),62(6),18(6),1312(6)])].
% 17.41/17.70 1317 join(meet(A,B),meet(A,join(B,C))) = meet(A,join(B,C)). [para(22(a,1),1308(a,1,2,2)),rewrite([7(4),8(5),1312(6)])].
% 17.41/17.70 1333 join(one,meet(A,B)) = one. [para(1308(a,1),49(a,1)),rewrite([8(9),62(9),18(9),8(8),25(8),62(6),1(6)])].
% 17.41/17.70 1374 meet(complement(A),join(B,complement(A))) = complement(A). [para(1311(a,1),159(a,1,1)),rewrite([8(3),1311(7)])].
% 17.41/17.70 1382 meet(A,join(meet(B,complement(A)),meet(A,C))) = meet(A,join(C,meet(B,complement(A)))). [para(51(a,1),66(a,1,2,2,2,2)),rewrite([19(4),8(8)])].
% 17.41/17.70 1388 meet(A,join(B,meet(complement(A),join(A,C)))) = meet(A,join(B,meet(C,complement(A)))). [para(31(a,1),66(a,2)),rewrite([20(5),1382(6),1317(6),20(5)]),flip(a)].
% 17.41/17.70 1481 meet(A,join(meet(B,complement(A)),meet(C,complement(A)))) = zero. [back_rewrite(205),rewrite([1388(7)])].
% 17.41/17.70 1496 meet(join(A,B),join(A,join(B,C))) = join(A,B). [para(1312(a,1),159(a,1,1)),rewrite([8(3),12(3),8(2),12(3,R),8(2),1312(7)])].
% 17.41/17.70 1510 meet(A,join(join(A,B),meet(C,join(A,D)))) = A. [para(1315(a,1),14(a,1,2,1,2)),rewrite([8(1),5(2),5(3),8(1)]),flip(a)].
% 17.41/17.70 1606 meet(A,B) != zero | one != A | complement(meet(A,B)) = A. [para(148(a,1),76(a,1)),rewrite([8(5),6(5),7(7),10(7),7(6),10(7,R),7(6),6(8)]),flip(b),flip(c)].
% 17.41/17.70 1644 meet(A,join(join(A,B),meet(C,D))) = A. [para(166(a,1),1510(a,1,2,2))].
% 17.41/17.70 1654 meet(A,join(join(A,B),complement(C))) = A. [para(1374(a,1),1510(a,1,2,2))].
% 17.41/17.70 1744 meet(A,B) != zero | one != B | complement(meet(A,B)) = B. [para(7(a,1),1606(a,1)),rewrite([7(6)])].
% 17.41/17.70 2192 meet(meet(A,B),join(C,meet(A,D))) = meet(A,meet(B,join(C,meet(A,D)))). [para(7(a,1),144(a,2)),rewrite([144(12),10(8),7(7),10(8,R),7(7)])].
% 17.41/17.70 2194 meet(A,meet(B,join(meet(A,C),meet(A,meet(B,join(D,meet(A,meet(B,C)))))))) = meet(A,meet(B,join(D,meet(A,C)))). [para(8(a,1),144(a,1,2,2,2)),rewrite([2192(6),1069(10),8(8),2192(9),2192(13)])].
% 17.41/17.70 2296 meet(A,meet(B,complement(meet(A,B)))) = zero. [para(1481(a,1),144(a,2)),rewrite([2192(11),8(18),1069(19),8(15),2192(16),2194(16),1181(9),7(3)])].
% 17.41/17.70 2408 meet(A,join(complement(A),meet(B,complement(meet(A,B))))) = zero. [para(2296(a,1),192(a,1,2,2)),rewrite([19(3),4(2),8(6)]),flip(a)].
% 17.41/17.70 2506 meet(A,complement(join(A,B))) = zero. [para(1481(a,1),164(a,1,2)),rewrite([7(5),10(5,R),7(4),239(4),47(2)]),flip(a)].
% 17.41/17.70 2524 meet(A,join(complement(A),complement(join(A,B)))) = zero. [para(2506(a,1),192(a,1,2,2)),rewrite([19(3),4(2),8(5)]),flip(a)].
% 17.41/17.70 2886 join(complement(A),meet(B,meet(C,complement(A)))) = complement(A). [para(1311(a,1),1071(a,1,2,2)),rewrite([7(3),8(6),1312(7),1311(8)])].
% 17.41/17.70 3427 join(meet(A,B),meet(A,meet(C,B))) = meet(A,B). [para(1070(a,1),1317(a,1,2)),rewrite([8(4),1070(8)])].
% 17.41/17.70 3449 meet(meet(A,B),complement(meet(A,join(B,C)))) = zero. [para(1317(a,1),2506(a,1,2,1))].
% 17.41/17.70 3498 meet(complement(A),complement(join(B,complement(A)))) = zero. [para(1311(a,1),3449(a,1,1)),rewrite([8(4),1312(5)])].
% 17.41/17.70 3501 meet(join(A,B),complement(join(A,join(B,C)))) = zero. [para(1312(a,1),3449(a,1,1)),rewrite([8(4),12(4),8(3),12(4,R),8(3),1312(5)])].
% 17.41/17.70 3531 meet(complement(A),join(complement(complement(A)),complement(join(B,complement(A))))) = zero. [para(3498(a,1),192(a,1,2,2)),rewrite([19(5),4(4),8(8)]),flip(a)].
% 17.41/17.70 3796 meet(meet(A,B),complement(join(C,meet(A,B)))) = zero. [para(1247(a,1),3501(a,1,1)),rewrite([8(4),12(5,R),8(4),1247(4)])].
% 17.41/17.70 4006 meet(A,meet(meet(B,C),complement(join(D,meet(A,B))))) = zero. [para(3796(a,1),1069(a,1,2,2)),rewrite([7(5),10(5),7(4),10(5,R),7(4),8(7),1247(7),10(6,R),3796(11)])].
% 17.41/17.70 4008 meet(meet(A,B),complement(join(A,C))) = zero. [para(1315(a,1),3796(a,1,2,1)),rewrite([8(2)])].
% 17.41/17.70 4016 meet(meet(A,B),complement(join(B,C))) = zero. [para(7(a,1),4008(a,1,1))].
% 17.41/17.70 4070 meet(A,complement(join(B,join(join(A,C),meet(D,E))))) = zero. [para(1644(a,1),4016(a,1,1)),rewrite([8(4)])].
% 17.41/17.70 5413 meet(A,meet(B,complement(join(C,meet(A,B))))) = zero. [para(1(a,1),4006(a,1,2,1))].
% 17.41/17.70 5415 meet(A,meet(meet(B,C),complement(join(D,meet(B,A))))) = zero. [para(4006(a,1),7(a,1)),rewrite([7(3),7(7)]),flip(a)].
% 17.41/17.70 5910 join(A,join(B,meet(C,meet(D,A)))) = join(A,B). [para(1333(a,1),279(a,2,2,2,2)),rewrite([7(3),10(3),7(2),10(3,R),7(2),7(6),18(6),8(5),1312(6),12(5),8(4),12(5,R),8(4),1312(6),18(7),8(6),1312(7)])].
% 17.41/17.70 6491 join(one,join(meet(A,B),meet(C,D))) = one. [para(1333(a,1),5910(a,2)),rewrite([18(4)])].
% 17.41/17.70 6953 join(one,join(join(A,B),meet(C,D))) = one. [para(1312(a,1),6491(a,1,2,1))].
% 17.41/17.70 8733 meet(meet(A,B),meet(meet(C,D),complement(meet(B,C)))) = zero. [para(3427(a,1),5415(a,1,2,2,1)),rewrite([7(3)])].
% 17.41/17.70 10090 meet(complement(A),meet(meet(B,A),join(C,D))) = zero. [para(1312(a,1),8733(a,1,2,1)),rewrite([18(4),10(5)])].
% 17.41/17.70 10152 meet(complement(join(A,B)),meet(meet(A,C),join(D,E))) = zero. [para(148(a,1),10090(a,1,2,1))].
% 17.41/17.70 11647 meet(complement(join(A,B)),meet(meet(B,C),join(D,E))) = zero. [para(8(a,1),10152(a,1,1,1))].
% 17.41/17.70 12152 meet(A,meet(B,complement(join(C,A)))) = zero. [hyper(132,a,11647,a,b,6953,a(flip)),rewrite([6953(8),7(5),10(5),7(4),18(4),7(3),10(4),7(3),10(4,R),7(3),6953(9),52(6)])].
% 17.41/17.70 12173 meet(A,meet(complement(join(B,C)),join(B,meet(C,D)))) = zero. [para(25(a,1),12152(a,1,2,2,1)),rewrite([8(3),10(6),7(5),10(6,R),7(5)])].
% 17.41/17.70 12478 meet(complement(join(A,B)),join(A,meet(B,C))) = zero. [hyper(17,a,12173,a,b,1333,a),rewrite([52(2)]),flip(a)].
% 17.41/17.70 12492 meet(complement(join(A,B)),join(B,meet(A,C))) = zero. [para(8(a,1),12478(a,1,1,1))].
% 17.41/17.70 12497 meet(complement(join(A,B)),join(A,meet(C,join(A,B)))) = zero. [para(23(a,1),12478(a,1,1,1)),rewrite([7(4)])].
% 17.41/17.70 12512 meet(A,complement(join(B,A))) = zero. [para(4(a,1),12492(a,1,2,2)),rewrite([19(4),7(3)])].
% 17.41/17.70 12532 meet(A,complement(join(B,join(C,A)))) = zero. [para(3501(a,1),12492(a,1,2,2)),rewrite([8(2),12(2),8(1),12(2,R),8(1),19(5),7(4)])].
% 17.41/17.70 12541 meet(complement(join(A,B)),join(A,meet(C,meet(D,B)))) = zero. [para(5910(a,1),12512(a,1,2,1)),rewrite([8(4),7(6)])].
% 17.41/17.70 12568 meet(join(A,meet(B,C)),complement(join(A,join(B,D)))) = zero. [para(25(a,1),12532(a,1,2,1,2)),rewrite([8(3),12(4),8(3),12(4,R),8(3)])].
% 17.41/17.70 12749 meet(complement(join(A,B)),join(B,meet(C,join(A,B)))) = zero. [para(8(a,1),12497(a,1,1,1)),rewrite([8(3)])].
% 17.41/17.70 12817 meet(complement(join(A,join(B,C))),join(A,meet(B,D))) = zero. [para(5(a,1),12541(a,1,2,2,2)),rewrite([7(4)])].
% 17.41/17.70 12886 meet(join(A,meet(B,C)),complement(join(A,join(C,D)))) = zero. [para(7(a,1),12568(a,1,1,2))].
% 17.41/17.70 12996 meet(join(A,complement(B)),complement(join(join(A,C),complement(B)))) = zero. [para(1654(a,1),12749(a,1,2,2)),rewrite([8(6),7(7)])].
% 17.41/17.70 13011 meet(complement(join(A,join(B,C))),join(C,meet(A,D))) = zero. [para(8(a,1),12817(a,1,1,1)),rewrite([8(2),12(2),8(1),12(2,R),8(1)])].
% 17.41/17.70 13056 meet(join(A,meet(B,C)),complement(join(C,join(A,D)))) = zero. [para(8(a,1),12886(a,1,1)),rewrite([8(2),12(4,R),8(3)])].
% 17.41/17.70 13182 meet(complement(join(A,B)),join(meet(B,C),meet(A,D))) = zero. [para(6(a,1),13011(a,1,1,1,2))].
% 17.41/17.70 13240 meet(complement(join(A,complement(B))),join(complement(B),meet(C,A))) = zero. [para(2886(a,1),13056(a,1,2,1,2)),rewrite([7(7)])].
% 17.41/17.70 13344 meet(complement(join(A,complement(B))),join(meet(A,C),complement(B))) = zero. [para(1374(a,1),13182(a,1,2,2)),rewrite([8(2)])].
% 17.41/17.70 13383 join(zero,join(complement(A),meet(B,C))) = join(complement(A),meet(B,C)). [para(13240(a,1),1313(a,1,2)),rewrite([8(5)])].
% 17.41/17.70 13537 complement(join(A,complement(meet(A,B)))) = zero. [hyper(130,a,13344,a,b,3,a(flip)),rewrite([3(8),7(6),1311(6),3(8),52(6)])].
% 17.41/17.70 13542 join(A,complement(meet(A,B))) = one. [para(13537(a,1),3(a,1,2)),rewrite([8(5),12(5,R),8(4),238(4)])].
% 17.41/17.70 13629 join(meet(A,B),complement(meet(A,meet(B,C)))) = one. [hyper(1744,a,13344,a,b,13542,a(flip)),rewrite([7(2),10(2),7(1),10(2,R),7(1),13542(4),52(2),7(4),10(4),7(3),10(4,R),7(3),107(7),67(2),7(4),10(4),7(3),10(4,R),7(3)]),flip(a)].
% 17.41/17.70 13633 complement(join(join(A,B),complement(meet(A,C)))) = zero. [hyper(43,a,12996,a,b,13542,a(flip)),rewrite([13542(3),1311(7),13542(8),52(7)])].
% 17.41/17.70 13651 join(A,join(join(B,C),complement(meet(B,D)))) = one. [para(13633(a,1),64(a,1,2,2)),rewrite([19(6),8(5)])].
% 17.41/17.70 13703 join(join(A,B),complement(meet(C,join(A,B)))) = one. [para(1312(a,1),13629(a,1,1)),rewrite([7(4),10(5,R),7(4),1312(4)])].
% 17.41/17.70 13757 join(join(A,B),complement(meet(A,C))) = one. [hyper(17,a,107,a,b,13651,a),rewrite([67(2)]),flip(a)].
% 17.41/17.70 13768 join(A,join(join(B,C),complement(join(A,B)))) = one. [para(1496(a,1),13757(a,1,2,1)),rewrite([8(2),12(2),8(1),12(2,R),8(1),8(5),12(5,R)])].
% 17.41/17.70 13794 join(complement(A),join(join(A,B),complement(C))) = one. [para(1654(a,1),13703(a,1,2,1)),rewrite([8(5)])].
% 17.41/17.70 13815 join(A,join(complement(A),complement(B))) = one. [para(2(a,1),13794(a,1,2,1)),rewrite([12(4,R),8(3)])].
% 17.41/17.70 13823 join(complement(complement(A)),complement(join(B,complement(A)))) = complement(complement(A)). [hyper(17,a,3531,a,b,13815,a),flip(a)].
% 17.41/17.70 13824 join(complement(A),complement(join(A,B))) = complement(A). [hyper(17,a,2524,a,b,13815,a),flip(a)].
% 17.41/17.70 13838 meet(complement(A),complement(join(A,B))) = complement(join(A,B)). [para(13824(a,1),1374(a,1,2)),rewrite([7(4)])].
% 17.41/17.70 13855 meet(complement(join(A,B)),complement(join(C,complement(A)))) = zero. [para(13824(a,1),12532(a,1,2,1,2))].
% 17.41/17.70 13913 join(A,join(join(B,C),complement(join(A,C)))) = one. [para(8(a,1),13768(a,1,2,1))].
% 17.41/17.70 13986 meet(A,complement(join(B,meet(A,complement(B))))) = zero. [para(13838(a,1),5413(a,1,2))].
% 17.41/17.70 13992 complement(join(A,join(join(B,complement(A)),meet(C,D)))) = zero. [para(13838(a,1),4070(a,1)),rewrite([8(2)])].
% 17.41/17.70 14079 meet(complement(join(A,B)),complement(join(C,complement(B)))) = zero. [para(8(a,1),13855(a,1,1,1))].
% 17.41/17.70 14109 join(A,join(B,complement(join(A,meet(B,C))))) = one. [para(6(a,1),13913(a,1,2,1))].
% 17.41/17.70 14176 meet(complement(complement(A)),complement(join(B,A))) = zero. [para(2(a,1),14079(a,1,2,1)),rewrite([7(5)])].
% 17.41/17.70 14208 meet(complement(A),complement(complement(meet(B,A)))) = zero. [para(1313(a,1),14176(a,1,2,1)),rewrite([7(5)])].
% 17.41/17.70 14287 join(join(A,B),complement(join(A,meet(B,C)))) = one. [para(14109(a,1),12(a,1)),rewrite([8(6)]),flip(a)].
% 17.41/17.70 14360 join(join(A,B),complement(join(B,meet(A,C)))) = one. [para(8(a,1),14287(a,1,1))].
% 17.41/17.70 14558 join(A,complement(join(meet(A,B),meet(A,C)))) = one. [para(6(a,1),14360(a,1,1))].
% 17.41/17.70 14843 meet(complement(complement(A)),complement(join(B,complement(A)))) = complement(join(B,complement(A))). [para(13823(a,1),1374(a,1,2)),rewrite([7(6)])].
% 17.41/17.70 14936 complement(join(A,join(complement(A),meet(B,C)))) = zero. [para(2(a,1),13992(a,1,1,2,1))].
% 17.41/17.70 14956 join(A,join(complement(A),meet(B,C))) = one. [para(14936(a,1),3(a,1,2)),rewrite([8(6),12(6,R),8(5),13383(5)])].
% 17.41/17.70 14961 join(complement(A),meet(B,complement(meet(A,B)))) = complement(A). [hyper(17,a,2408,a,b,14956,a),flip(a)].
% 17.41/17.70 14975 join(complement(A),meet(B,complement(meet(B,A)))) = complement(A). [para(14961(a,1),8(a,2)),rewrite([7(1),8(5)])].
% 17.41/17.70 15179 join(A,complement(complement(A))) = complement(complement(A)). [para(4(a,1),14975(a,1,2,2,1)),rewrite([67(4),18(4),8(3)])].
% 17.41/17.70 15296 join(A,complement(complement(join(B,meet(A,complement(B)))))) = complement(complement(join(B,meet(A,complement(B))))). [para(13986(a,1),14975(a,1,2,2,1)),rewrite([67(7),18(7),8(6)])].
% 17.41/17.70 15300 join(complement(A),complement(complement(complement(meet(B,A))))) = complement(complement(complement(meet(B,A)))). [para(14208(a,1),14975(a,1,2,2,1)),rewrite([67(7),18(7),8(6)])].
% 17.41/17.70 15308 meet(A,complement(complement(A))) = A. [para(15179(a,1),5(a,1,2))].
% 17.41/17.70 15412 complement(complement(complement(A))) = complement(A). [para(15179(a,1),13824(a,1,2,1)),rewrite([15179(5)])].
% 17.41/17.70 15430 join(complement(A),complement(meet(A,B))) = complement(meet(A,B)). [back_rewrite(15300),rewrite([7(2),15412(5),7(5),15412(8)])].
% 17.41/17.70 15443 meet(complement(A),join(A,meet(B,complement(complement(A))))) = zero. [para(15308(a,1),1481(a,1,2,1))].
% 17.41/17.70 16679 meet(complement(A),complement(meet(A,B))) = complement(A). [para(15430(a,1),5(a,1,2))].
% 17.41/17.70 16825 complement(complement(A)) = A. [para(15443(a,1),76(a,1)),rewrite([8(5),3(5),4(10),19(8)]),flip(c),xx(a),xx(b)].
% 17.41/17.70 16856 join(A,meet(B,complement(A))) = join(B,A). [back_rewrite(15296),rewrite([16825(5),25(4),16825(6)]),flip(a)].
% 17.41/17.70 16894 meet(A,complement(join(B,complement(A)))) = complement(join(B,complement(A))). [back_rewrite(14843),rewrite([16825(2)])].
% 17.41/17.70 17226 join(A,meet(B,complement(meet(B,complement(A))))) = A. [para(16825(a,1),14961(a,1,1)),rewrite([7(2),16825(7)])].
% 17.41/17.70 17227 meet(A,complement(meet(B,complement(A)))) = A. [para(16825(a,1),16679(a,1,1)),rewrite([7(2),16825(6)])].
% 17.41/17.70 17363 join(complement(A),meet(A,B)) = join(B,complement(A)). [para(16825(a,1),16856(a,1,2,2)),rewrite([7(2)])].
% 17.41/17.70 17464 meet(A,complement(meet(A,complement(B)))) = meet(A,B). [para(17226(a,1),385(a,1,2,2)),rewrite([7(4),17227(4)]),flip(a)].
% 17.41/17.70 17525 join(complement(A),meet(B,join(A,C))) = join(B,complement(A)). [para(22(a,1),17363(a,1,2)),rewrite([17363(3),8(6)]),flip(a)].
% 17.41/17.70 17536 join(complement(A),meet(join(B,meet(A,C)),join(B,meet(C,join(A,D))))) = join(B,join(C,complement(A))). [para(59(a,1),17363(a,1,2)),rewrite([17363(5),8(4),12(4,R),8(3),17363(3),8(11)]),flip(a)].
% 17.41/17.70 17858 complement(meet(A,complement(B))) = join(B,complement(A)). [para(17464(a,1),17363(a,1,2)),rewrite([17363(3),8(7),15430(7)]),flip(a)].
% 17.41/17.70 17861 meet(A,join(B,complement(A))) = meet(A,B). [para(17464(a,1),17464(a,2)),rewrite([17858(3),16894(4),16825(4)])].
% 17.41/17.70 21010 meet(A,join(B,join(C,complement(A)))) = meet(A,join(B,C)). [para(63(a,1),17861(a,2)),rewrite([8(5),12(5,R),8(4),17525(4)])].
% 17.41/17.70 21013 meet(A,join(B,meet(A,C))) = meet(A,join(B,C)). [para(59(a,1),17861(a,2)),rewrite([8(8),17536(8),21010(4)]),flip(a)].
% 17.41/17.70 21056 join(meet(A,B),meet(A,C)) = meet(A,join(B,C)). [para(14558(a,1),17861(a,1,2)),rewrite([7(5),1312(5),7(7),21013(7),8(5),21013(6),8(4)])].
% 17.41/17.70 21057 $F # answer(prove_distributivity). [resolve(21056,a,16,a)].
% 17.41/17.70
% 17.41/17.70 % SZS output end Refutation
% 17.41/17.70 ============================== end of proof ==========================
% 17.41/17.70
% 17.41/17.70 ============================== STATISTICS ============================
% 17.41/17.70
% 17.41/17.70 Given=631. Generated=384635. Kept=21052. proofs=1.
% 17.41/17.70 Usable=298. Sos=7023. Demods=7004. Limbo=50, Disabled=13693. Hints=0.
% 17.41/17.70 Megabytes=25.05.
% 17.41/17.70 User_CPU=16.50, System_CPU=0.21, Wall_clock=16.
% 17.41/17.70
% 17.41/17.70 ============================== end of statistics =====================
% 17.41/17.70
% 17.41/17.70 ============================== end of search =========================
% 17.41/17.70
% 17.41/17.70 THEOREM PROVED
% 17.41/17.70 % SZS status Unsatisfiable
% 17.41/17.70
% 17.41/17.70 Exiting with 1 proof.
% 17.41/17.70
% 17.41/17.70 Process 7065 exit (max_proofs) Thu Jun 30 03:33:40 2022
% 17.41/17.70 Prover9 interrupted
%------------------------------------------------------------------------------