TSTP Solution File: LAT153-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT153-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 06:25:49 EDT 2022
% Result : Unsatisfiable 63.69s 63.94s
% Output : Refutation 63.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LAT153-1 : TPTP v8.1.0. Released v3.1.0.
% 0.08/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 28 22:03:23 EDT 2022
% 0.13/0.35 % CPUTime :
% 18.18/18.47 ============================== Prover9 ===============================
% 18.18/18.47 Prover9 (32) version 2009-11A, November 2009.
% 18.18/18.47 Process 16781 was started by sandbox2 on n004.cluster.edu,
% 18.18/18.47 Tue Jun 28 22:03:23 2022
% 18.18/18.47 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_16628_n004.cluster.edu".
% 18.18/18.47 ============================== end of head ===========================
% 18.18/18.47
% 18.18/18.47 ============================== INPUT =================================
% 18.18/18.47
% 18.18/18.47 % Reading from file /tmp/Prover9_16628_n004.cluster.edu
% 18.18/18.47
% 18.18/18.47 set(prolog_style_variables).
% 18.18/18.47 set(auto2).
% 18.18/18.47 % set(auto2) -> set(auto).
% 18.18/18.47 % set(auto) -> set(auto_inference).
% 18.18/18.47 % set(auto) -> set(auto_setup).
% 18.18/18.47 % set(auto_setup) -> set(predicate_elim).
% 18.18/18.47 % set(auto_setup) -> assign(eq_defs, unfold).
% 18.18/18.47 % set(auto) -> set(auto_limits).
% 18.18/18.47 % set(auto_limits) -> assign(max_weight, "100.000").
% 18.18/18.47 % set(auto_limits) -> assign(sos_limit, 20000).
% 18.18/18.47 % set(auto) -> set(auto_denials).
% 18.18/18.47 % set(auto) -> set(auto_process).
% 18.18/18.47 % set(auto2) -> assign(new_constants, 1).
% 18.18/18.47 % set(auto2) -> assign(fold_denial_max, 3).
% 18.18/18.47 % set(auto2) -> assign(max_weight, "200.000").
% 18.18/18.47 % set(auto2) -> assign(max_hours, 1).
% 18.18/18.47 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 18.18/18.47 % set(auto2) -> assign(max_seconds, 0).
% 18.18/18.47 % set(auto2) -> assign(max_minutes, 5).
% 18.18/18.47 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 18.18/18.47 % set(auto2) -> set(sort_initial_sos).
% 18.18/18.47 % set(auto2) -> assign(sos_limit, -1).
% 18.18/18.47 % set(auto2) -> assign(lrs_ticks, 3000).
% 18.18/18.47 % set(auto2) -> assign(max_megs, 400).
% 18.18/18.47 % set(auto2) -> assign(stats, some).
% 18.18/18.47 % set(auto2) -> clear(echo_input).
% 18.18/18.47 % set(auto2) -> set(quiet).
% 18.18/18.47 % set(auto2) -> clear(print_initial_clauses).
% 18.18/18.47 % set(auto2) -> clear(print_given).
% 18.18/18.47 assign(lrs_ticks,-1).
% 18.18/18.47 assign(sos_limit,10000).
% 18.18/18.47 assign(order,kbo).
% 18.18/18.47 set(lex_order_vars).
% 18.18/18.47 clear(print_given).
% 18.18/18.47
% 18.18/18.47 % formulas(sos). % not echoed (10 formulas)
% 18.18/18.47
% 18.18/18.47 ============================== end of input ==========================
% 18.18/18.47
% 18.18/18.47 % From the command line: assign(max_seconds, 300).
% 18.18/18.47
% 18.18/18.47 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 18.18/18.47
% 18.18/18.47 % Formulas that are not ordinary clauses:
% 18.18/18.47
% 18.18/18.47 ============================== end of process non-clausal formulas ===
% 18.18/18.47
% 18.18/18.47 ============================== PROCESS INITIAL CLAUSES ===============
% 18.18/18.47
% 18.18/18.47 ============================== PREDICATE ELIMINATION =================
% 18.18/18.47
% 18.18/18.47 ============================== end predicate elimination =============
% 18.18/18.47
% 18.18/18.47 Auto_denials:
% 18.18/18.47 % copying label prove_H7 to answer in negative clause
% 18.18/18.47
% 18.18/18.47 Term ordering decisions:
% 18.18/18.47 Function symbol KB weights: a=1. b=1. c=1. join=1. meet=1.
% 18.18/18.47
% 18.18/18.47 ============================== end of process initial clauses ========
% 18.18/18.47
% 18.18/18.47 ============================== CLAUSES FOR SEARCH ====================
% 18.18/18.47
% 18.18/18.47 ============================== end of clauses for search =============
% 18.18/18.47
% 18.18/18.47 ============================== SEARCH ================================
% 18.18/18.47
% 18.18/18.47 % Starting search at 0.01 seconds.
% 18.18/18.47
% 18.18/18.47 Low Water (keep): wt=103.000, iters=3346
% 18.18/18.47
% 18.18/18.47 Low Water (keep): wt=97.000, iters=3356
% 18.18/18.47
% 18.18/18.47 Low Water (keep): wt=93.000, iters=3376
% 18.18/18.47
% 18.18/18.47 Low Water (keep): wt=81.000, iters=3345
% 18.18/18.47
% 18.18/18.47 Low Water (keep): wt=77.000, iters=3333
% 18.18/18.47
% 18.18/18.47 Low Water (keep): wt=75.000, iters=3373
% 18.18/18.47
% 18.18/18.47 Low Water (keep): wt=73.000, iters=3380
% 18.18/18.47
% 18.18/18.47 Low Water (keep): wt=71.000, iters=3361
% 18.18/18.47
% 18.18/18.47 Low Water (keep): wt=69.000, iters=3432
% 18.18/18.47
% 18.18/18.47 Low Water (keep): wt=67.000, iters=3360
% 18.18/18.47
% 18.18/18.47 Low Water (keep): wt=65.000, iters=3346
% 18.18/18.47
% 18.18/18.47 Low Water (keep): wt=63.000, iters=3410
% 18.18/18.47
% 18.18/18.47 Low Water (keep): wt=61.000, iters=3382
% 18.18/18.47
% 18.18/18.47 Low Water (keep): wt=59.000, iters=3370
% 18.18/18.47
% 18.18/18.47 Low Water (keep): wt=57.000, iters=3338
% 18.18/18.47
% 18.18/18.47 Low Water (keep): wt=55.000, iters=3368
% 18.18/18.47
% 18.18/18.47 Low Water (keep): wt=53.000, iters=3348
% 18.18/18.47
% 18.18/18.47 Low Water (keep): wt=51.000, iters=3351
% 18.18/18.47
% 18.18/18.47 Low Water (keep): wt=49.000, iters=3360
% 18.18/18.47
% 18.18/18.47 Low Water (keep): wt=47.000, iters=3384
% 18.18/18.47
% 18.18/18.47 Low Water (keep): wt=45.000, iters=3340
% 18.18/18.47
% 18.18/18.47 Low Water (keep): wt=43.000, iters=3340
% 18.18/18.47
% 18.18/18.47 Low Water (keep): wt=41.000, iters=3348
% 18.18/18.47
% 18.18/18.47 Low Water (keep): wt=39.000, iters=3333
% 18.18/18.47
% 18.18/18.47 Low Water (keep): wt=37.000, iters=3348
% 18.18/18.47
% 18.18/18.47 Low Water (keep): wt=35.000, iters=3335
% 18.18/18.47
% 18.18/18.47 Low Water (keep): wt=33.000, iters=3346
% 18.18/18.47
% 18.18/18.47 Low Water (displace): id=6528, wt=191.000
% 18.18/18.47
% 18.18/18.47 Low Water (displace): id=17122, wt=31.000
% 63.69/63.94
% 63.69/63.94 Low Water (displace): id=17137, wt=25.000
% 63.69/63.94
% 63.69/63.94 Low Water (displace): id=17142, wt=23.000
% 63.69/63.94
% 63.69/63.94 Low Water (displace): id=17516, wt=21.000
% 63.69/63.94
% 63.69/63.94 Low Water (displace): id=17518, wt=19.000
% 63.69/63.94
% 63.69/63.94 Low Water (keep): wt=31.000, iters=3335
% 63.69/63.94
% 63.69/63.94 Low Water (keep): wt=29.000, iters=3340
% 63.69/63.94
% 63.69/63.94 ============================== PROOF =================================
% 63.69/63.94 % SZS status Unsatisfiable
% 63.69/63.94 % SZS output start Refutation
% 63.69/63.94
% 63.69/63.94 % Proof 1 at 62.54 (+ 0.39) seconds: prove_H7.
% 63.69/63.94 % Length of proof is 118.
% 63.69/63.94 % Level of proof is 35.
% 63.69/63.94 % Maximum clause weight is 37.000.
% 63.69/63.94 % Given clauses 646.
% 63.69/63.94
% 63.69/63.94 1 meet(A,A) = A # label(idempotence_of_meet) # label(axiom). [assumption].
% 63.69/63.94 2 join(A,A) = A # label(idempotence_of_join) # label(axiom). [assumption].
% 63.69/63.94 3 meet(A,join(A,B)) = A # label(absorption1) # label(axiom). [assumption].
% 63.69/63.94 4 join(A,meet(A,B)) = A # label(absorption2) # label(axiom). [assumption].
% 63.69/63.94 5 meet(A,B) = meet(B,A) # label(commutativity_of_meet) # label(axiom). [assumption].
% 63.69/63.94 6 join(A,B) = join(B,A) # label(commutativity_of_join) # label(axiom). [assumption].
% 63.69/63.94 7 meet(meet(A,B),C) = meet(A,meet(B,C)) # label(associativity_of_meet) # label(axiom). [assumption].
% 63.69/63.94 8 meet(A,meet(B,C)) = meet(C,meet(A,B)). [copy(7),rewrite([5(2)]),flip(a)].
% 63.69/63.94 9 join(join(A,B),C) = join(A,join(B,C)) # label(associativity_of_join) # label(axiom). [assumption].
% 63.69/63.94 10 join(A,join(B,C)) = join(C,join(A,B)). [copy(9),rewrite([6(2)]),flip(a)].
% 63.69/63.94 11 meet(A,join(B,meet(C,join(A,D)))) = meet(A,join(B,meet(C,join(D,meet(C,join(A,B)))))) # label(equation_H40) # label(axiom). [assumption].
% 63.69/63.94 12 meet(A,join(B,meet(C,join(D,meet(C,join(A,B)))))) = meet(A,join(B,meet(C,join(A,D)))). [copy(11),flip(a)].
% 63.69/63.94 13 meet(a,join(b,meet(a,c))) != meet(a,join(b,meet(a,join(meet(a,b),meet(c,join(a,b)))))) # label(prove_H7) # label(negated_conjecture) # answer(prove_H7). [assumption].
% 63.69/63.94 14 meet(a,join(b,meet(a,join(meet(a,b),meet(c,join(a,b)))))) != meet(a,join(b,meet(a,c))) # answer(prove_H7). [copy(13),flip(a)].
% 63.69/63.94 15 meet(A,meet(A,B)) = meet(A,B). [para(8(a,1),1(a,1)),rewrite([5(1),5(2),8(2,R),1(1),5(3)])].
% 63.69/63.94 16 meet(A,meet(B,join(A,C))) = meet(A,B). [para(3(a,1),8(a,2,2)),rewrite([5(2),5(4)])].
% 63.69/63.94 17 join(A,join(A,B)) = join(A,B). [para(10(a,1),2(a,1)),rewrite([6(1),6(2),10(2,R),2(1),6(3)])].
% 63.69/63.94 18 join(A,join(B,meet(A,C))) = join(A,B). [para(4(a,1),10(a,2,2)),rewrite([6(2),6(4)])].
% 63.69/63.94 19 meet(A,join(B,meet(join(A,B),join(A,join(B,C))))) = meet(A,join(B,meet(join(A,B),join(A,C)))). [para(1(a,1),12(a,1,2,2,2,2)),rewrite([10(3),6(2),10(3,R),6(2)])].
% 63.69/63.94 20 meet(A,join(B,meet(C,join(A,B)))) = meet(A,join(B,meet(A,C))). [para(2(a,1),12(a,1,2,2,2)),rewrite([15(3),12(10),2(5),5(5)])].
% 63.69/63.94 21 meet(A,join(B,meet(C,join(A,C)))) = meet(A,join(B,C)). [para(3(a,1),12(a,1,2,2)),flip(a)].
% 63.69/63.94 22 meet(A,join(meet(A,B),meet(C,join(D,meet(A,C))))) = meet(A,join(meet(A,B),meet(C,join(A,D)))). [para(4(a,1),12(a,1,2,2,2,2,2)),rewrite([5(2)])].
% 63.69/63.94 23 meet(A,join(B,meet(C,join(D,meet(C,join(B,A)))))) = meet(A,join(B,meet(C,join(D,A)))). [para(12(a,1),5(a,2)),rewrite([6(1),5(6),6(7)])].
% 63.69/63.94 26 meet(A,join(join(A,B),meet(C,join(D,meet(C,join(A,B)))))) = meet(A,join(join(A,B),meet(C,join(A,D)))). [para(17(a,1),12(a,1,2,2,2,2,2))].
% 63.69/63.94 27 meet(A,meet(B,meet(C,join(A,D)))) = meet(A,meet(B,C)). [para(16(a,1),8(a,2,2)),rewrite([5(3),8(3,R),5(2),8(6),5(5),8(6,R),5(5)])].
% 63.69/63.94 28 join(A,join(B,join(C,meet(A,D)))) = join(A,join(B,C)). [para(18(a,1),10(a,2,2)),rewrite([6(3),10(3,R),6(2),10(6),6(5),10(6,R),6(5)])].
% 63.69/63.94 30 meet(join(A,B),join(A,meet(B,join(A,B)))) = join(A,B). [para(1(a,1),21(a,2)),rewrite([6(3),10(3,R),2(2)])].
% 63.69/63.94 35 meet(A,join(B,meet(join(A,B),join(A,C)))) = A. [para(5(a,1),19(a,2,2,2)),rewrite([19(6),20(10),3(7),6(6),3(7)])].
% 63.69/63.94 39 meet(A,join(B,meet(join(B,A),join(A,C)))) = A. [para(35(a,1),5(a,2)),rewrite([6(1),5(5)])].
% 63.69/63.94 42 meet(A,join(join(B,meet(A,C)),meet(join(A,B),join(A,D)))) = A. [para(18(a,1),35(a,1,2,2,1))].
% 63.69/63.94 46 meet(join(A,meet(B,C)),join(B,meet(join(A,B),join(A,join(D,meet(B,C)))))) = join(A,meet(B,C)). [para(18(a,1),39(a,1,2,2,1)),rewrite([6(3),6(6),10(6,R),6(5)])].
% 63.69/63.94 48 meet(A,meet(B,meet(C,meet(D,join(A,E))))) = meet(A,meet(B,meet(C,D))). [para(27(a,1),8(a,2,2)),rewrite([5(4),8(4,R),5(3),8(3,R),5(2),8(8,R),5(7),8(7),5(6),8(7,R),5(6)])].
% 63.69/63.94 49 join(A,join(B,join(join(A,B),meet(C,join(A,B))))) = join(A,B). [para(2(a,1),28(a,2)),rewrite([5(3),10(6,R),6(5),10(5,R),6(4)])].
% 63.69/63.94 50 join(A,join(B,join(C,join(D,meet(A,E))))) = join(A,join(B,join(C,D))). [para(28(a,1),10(a,2,2)),rewrite([6(4),10(4,R),6(3),10(3,R),6(2),10(8,R),6(7),10(7),6(6),10(7,R),6(6)])].
% 63.69/63.94 55 meet(A,join(B,meet(A,B))) = meet(A,B). [para(4(a,1),20(a,1,2)),flip(a)].
% 63.69/63.94 57 meet(A,meet(B,join(C,meet(D,join(A,C))))) = meet(A,meet(B,join(C,meet(A,D)))). [para(20(a,1),8(a,2,2)),rewrite([5(4),8(9,R),5(8)])].
% 63.69/63.94 59 meet(A,join(meet(B,join(C,meet(B,join(A,D)))),meet(D,join(A,meet(B,join(C,D)))))) = meet(A,join(meet(A,D),meet(B,join(C,meet(B,join(A,D)))))). [para(12(a,1),20(a,1,2,2)),rewrite([6(1),6(5),6(11),6(16)])].
% 63.69/63.94 60 meet(A,join(join(A,B),meet(C,join(A,B)))) = meet(A,join(join(A,B),meet(A,C))). [para(17(a,1),20(a,1,2,2,2))].
% 63.69/63.94 64 meet(A,join(meet(B,join(A,C)),meet(C,join(A,meet(B,C))))) = meet(A,join(meet(A,C),meet(B,join(A,C)))). [para(20(a,1),20(a,1,2,2)),rewrite([6(1),5(3),6(8),6(11)])].
% 63.69/63.94 67 meet(A,join(meet(A,B),meet(B,join(A,C)))) = meet(A,B). [para(16(a,1),55(a,1,2,2)),rewrite([6(4),16(8)])].
% 63.69/63.94 87 meet(A,join(meet(A,join(B,meet(C,join(A,D)))),meet(join(B,meet(C,join(D,meet(C,join(A,B))))),join(A,E)))) = meet(A,join(B,meet(C,join(A,D)))). [para(12(a,1),67(a,1,2,1)),rewrite([12(19)])].
% 63.69/63.94 96 meet(A,join(meet(B,join(C,meet(A,B))),meet(A,D))) = meet(A,join(meet(A,D),meet(B,join(A,C)))). [para(6(a,1),22(a,1,2))].
% 63.69/63.94 133 meet(join(A,B),join(A,join(B,C))) = join(A,B). [para(30(a,1),42(a,1,2,1,2)),rewrite([10(3),6(2),10(3,R),6(2),6(5),10(5),6(4),10(5,R),6(4),6(7),10(7),6(6),10(7,R),6(6),4(9)])].
% 63.69/63.94 139 meet(A,join(join(B,C),meet(join(A,B),join(A,D)))) = A. [para(133(a,1),12(a,1,2,2,2,2)),rewrite([10(4),6(3),10(4,R),6(3),133(5),10(3),6(2),10(3,R),6(2),17(2),3(3)]),flip(a)].
% 63.69/63.94 173 meet(A,join(join(B,C),meet(join(B,A),join(A,D)))) = A. [para(139(a,1),5(a,2)),rewrite([6(2),5(6)])].
% 63.69/63.94 176 meet(A,join(B,join(C,meet(join(A,B),join(A,D))))) = A. [para(6(a,1),139(a,1,2)),rewrite([10(5),6(4),10(5,R),6(4)])].
% 63.69/63.94 219 meet(meet(A,B),join(join(A,C),meet(A,join(D,meet(A,B))))) = meet(A,B). [para(4(a,1),173(a,1,2,2,1)),rewrite([6(4)])].
% 63.69/63.94 252 meet(A,join(B,join(C,meet(join(B,A),join(A,D))))) = A. [para(176(a,1),5(a,2)),rewrite([6(1),5(6)])].
% 63.69/63.94 377 meet(A,join(join(A,B),meet(C,join(A,D)))) = A. [para(6(a,1),26(a,2,2)),rewrite([26(7),10(9),6(8),10(9,R),6(8),3(10)])].
% 63.69/63.94 400 meet(A,join(join(A,B),meet(A,C))) = A. [back_rewrite(60),rewrite([377(5)]),flip(a)].
% 63.69/63.94 405 meet(meet(A,B),join(A,C)) = meet(A,B). [para(400(a,1),23(a,1,2,2,2,2)),rewrite([6(3),3(4),6(3),17(3),219(10)])].
% 63.69/63.94 410 meet(meet(A,B),join(B,C)) = meet(A,B). [para(5(a,1),405(a,1,1)),rewrite([5(4)])].
% 63.69/63.94 418 meet(A,join(B,meet(meet(B,C),join(D,meet(B,C))))) = meet(A,join(B,meet(meet(B,C),join(A,D)))). [para(405(a,1),23(a,1,2,2,2,2)),rewrite([6(8)])].
% 63.69/63.94 422 meet(meet(A,B),join(C,meet(A,B))) = meet(A,B). [para(405(a,1),400(a,1,2,2)),rewrite([6(3),6(5),10(5,R),2(4)])].
% 63.69/63.94 424 meet(A,join(B,meet(meet(B,C),join(A,D)))) = meet(A,B). [back_rewrite(418),rewrite([422(4),4(2)]),flip(a)].
% 63.69/63.94 437 meet(meet(A,B),join(C,meet(B,join(A,D)))) = meet(A,B). [para(16(a,1),410(a,1,1)),rewrite([6(4),16(8)])].
% 63.69/63.94 526 meet(A,join(join(A,B),meet(C,D))) = A. [para(422(a,1),377(a,1,2,2))].
% 63.69/63.94 533 meet(A,meet(B,join(join(A,C),meet(D,E)))) = meet(A,B). [para(526(a,1),8(a,2,2)),rewrite([5(4),5(6)])].
% 63.69/63.94 704 meet(A,join(B,meet(A,meet(B,C)))) = meet(A,B). [para(2(a,1),424(a,1,2,2,2)),rewrite([5(2)])].
% 63.69/63.94 798 meet(meet(A,B),join(C,meet(A,join(B,D)))) = meet(A,B). [para(437(a,1),5(a,2)),rewrite([5(4),5(5),5(6)])].
% 63.69/63.94 856 meet(join(A,B),join(A,meet(B,C))) = join(A,meet(B,C)). [para(4(a,1),46(a,1,2,2,2,2)),rewrite([1(5),10(4,R),2(3),5(4)])].
% 63.69/63.94 877 meet(join(A,meet(B,C)),join(A,join(D,meet(B,C)))) = join(A,meet(B,C)). [para(46(a,1),405(a,1,1)),rewrite([6(5),10(5,R),6(4),46(15)])].
% 63.69/63.94 930 meet(meet(A,B),meet(join(A,C),join(join(D,meet(A,B)),meet(E,F)))) = meet(A,B). [para(405(a,1),533(a,2)),rewrite([6(4)])].
% 63.69/63.94 983 join(join(A,B),meet(C,join(A,B))) = join(A,B). [para(49(a,1),10(a,1)),rewrite([6(7),17(7)]),flip(a)].
% 63.69/63.94 1024 join(join(A,B),meet(A,C)) = join(A,B). [para(405(a,1),983(a,1,2))].
% 63.69/63.94 1025 join(A,join(join(A,B),meet(C,D))) = join(join(A,B),meet(C,D)). [para(526(a,1),983(a,1,2)),rewrite([6(4)])].
% 63.69/63.94 1033 meet(A,meet(meet(B,C),join(D,E))) = meet(A,meet(B,meet(C,join(D,E)))). [para(983(a,1),48(a,1,2,2,2,2)),rewrite([8(6,R),5(5),8(5,R),5(4),8(4,R),1(3),8(8,R)]),flip(a)].
% 63.69/63.94 1044 join(join(A,B),meet(B,C)) = join(A,B). [para(6(a,1),1024(a,1,1)),rewrite([6(4)])].
% 63.69/63.94 1065 join(join(A,B),meet(C,join(B,meet(A,D)))) = join(A,B). [para(18(a,1),1044(a,1,1)),rewrite([5(4),18(8)])].
% 63.69/63.94 1096 join(A,join(join(B,C),meet(D,E))) = join(A,join(B,join(C,meet(D,E)))). [para(405(a,1),50(a,1,2,2,2,2)),rewrite([10(6,R),6(5),10(5,R),6(4),10(4,R),2(3),10(8,R)]),flip(a)].
% 63.69/63.94 1107 join(join(A,B),meet(C,D)) = join(A,join(B,meet(C,D))). [back_rewrite(1025),rewrite([1096(4),17(4)]),flip(a)].
% 63.69/63.94 1132 join(A,join(B,meet(C,join(B,meet(A,D))))) = join(A,B). [back_rewrite(1065),rewrite([1107(5)])].
% 63.69/63.94 1160 meet(meet(A,B),meet(join(A,C),join(D,join(meet(A,B),meet(E,F))))) = meet(A,B). [back_rewrite(930),rewrite([1107(6)])].
% 63.69/63.94 1291 meet(meet(A,B),join(C,meet(A,join(D,meet(A,B))))) = meet(A,B). [para(15(a,1),798(a,1,1)),rewrite([6(3),15(8)])].
% 63.69/63.94 1315 meet(join(A,B),join(B,meet(A,C))) = join(B,meet(A,C)). [para(6(a,1),856(a,1,1))].
% 63.69/63.94 1318 join(A,meet(B,join(C,meet(B,join(A,B))))) = join(A,meet(B,join(A,join(B,C)))). [para(856(a,1),12(a,1)),rewrite([6(2),17(2),6(8),10(8),6(7),10(8,R),6(7),856(11)])].
% 63.69/63.94 1416 join(A,join(meet(A,B),meet(C,D))) = join(A,meet(C,D)). [para(4(a,1),1107(a,1,1)),flip(a)].
% 63.69/63.94 1427 meet(A,join(meet(A,B),meet(C,join(D,join(E,meet(A,C)))))) = meet(A,join(meet(A,B),meet(C,join(A,join(D,E))))). [para(1107(a,1),22(a,1,2,2,2))].
% 63.69/63.94 1488 join(A,join(B,meet(C,join(A,meet(B,D))))) = join(A,B). [para(1132(a,1),10(a,2)),rewrite([6(4),6(6)])].
% 63.69/63.94 1610 meet(A,join(meet(A,B),meet(A,C))) = join(meet(A,B),meet(A,C)). [para(4(a,1),1315(a,1,1))].
% 63.69/63.94 1734 join(A,meet(B,join(meet(A,C),meet(A,D)))) = A. [para(1416(a,1),1132(a,1)),rewrite([4(7)])].
% 63.69/63.94 1749 meet(meet(A,join(meet(B,C),meet(B,D))),join(B,E)) = meet(A,join(meet(B,C),meet(B,D))). [para(1734(a,1),252(a,1,2,2,2,1)),rewrite([6(9),18(12)])].
% 63.69/63.94 1756 meet(A,join(B,A)) = A. [para(1734(a,1),1315(a,1,2)),rewrite([5(2),1734(7)])].
% 63.69/63.94 1762 join(A,meet(B,join(A,join(B,C)))) = join(A,B). [back_rewrite(1318),rewrite([1756(2),6(1),3(2)]),flip(a)].
% 63.69/63.94 1810 meet(A,meet(B,join(C,meet(A,B)))) = meet(A,B). [para(1756(a,1),57(a,1,2)),rewrite([16(3),5(6),8(6),5(5),8(6,R),5(5),1315(5)]),flip(a)].
% 63.69/63.94 1837 meet(A,meet(B,meet(C,join(D,meet(A,B))))) = meet(A,meet(B,C)). [para(1810(a,1),8(a,2,2)),rewrite([5(4),8(4,R),5(3),8(7),5(6),8(7,R),5(6)])].
% 63.69/63.94 1853 meet(A,join(meet(A,meet(B,C)),meet(B,join(A,D)))) = meet(A,B). [para(1810(a,1),704(a,2)),rewrite([5(7),8(7,R),5(6),1837(8),96(7)])].
% 63.69/63.94 1869 join(A,join(B,meet(C,join(A,meet(D,join(A,B)))))) = join(A,B). [para(17(a,1),1488(a,2)),rewrite([5(3),1107(6),17(7)])].
% 63.69/63.94 2350 meet(A,join(meet(B,C),meet(A,B))) = meet(A,B). [para(15(a,1),64(a,1,2,2,2,2)),rewrite([1756(7),6(5),20(6),1853(11)])].
% 63.69/63.94 2459 meet(A,join(meet(B,C),meet(A,C))) = meet(A,C). [para(5(a,1),2350(a,1,2,1))].
% 63.69/63.94 2460 meet(A,join(meet(A,B),meet(B,C))) = meet(A,B). [para(6(a,1),2350(a,1,2))].
% 63.69/63.94 2467 meet(meet(A,B),join(C,meet(D,join(meet(A,D),meet(A,B))))) = meet(meet(A,B),join(C,meet(A,D))). [para(2350(a,1),12(a,2,2,2)),rewrite([5(2),6(4),23(9),5(9)])].
% 63.69/63.94 2502 join(A,join(meet(B,A),meet(B,C))) = join(A,meet(B,C)). [para(2350(a,1),1488(a,1,2,2)),rewrite([5(2),10(4,R),6(6)])].
% 63.69/63.94 2542 meet(A,join(B,meet(A,join(B,C)))) = meet(A,join(B,C)). [para(3(a,1),2459(a,1,2,1))].
% 63.69/63.94 2543 meet(A,join(meet(B,C),meet(C,A))) = meet(C,A). [para(2459(a,1),5(a,2)),rewrite([5(2),5(4),5(5)])].
% 63.69/63.94 2671 meet(A,meet(B,join(meet(A,B),meet(A,C)))) = meet(A,B). [para(2460(a,1),57(a,2,2)),rewrite([5(1),5(2),4(3),5(2),5(6),15(7)])].
% 63.69/63.94 2728 join(A,meet(B,A)) = A. [para(1762(a,1),2543(a,1,2)),rewrite([10(3),6(2),10(3,R),6(2),6(5),5(6),877(6),10(5),6(4),10(5,R),6(4),3(6)])].
% 63.69/63.94 2735 join(meet(A,B),meet(A,join(B,C))) = meet(A,join(B,C)). [para(16(a,1),2728(a,1,2)),rewrite([5(3),6(4)])].
% 63.69/63.94 2741 join(meet(A,B),meet(A,join(C,meet(A,B)))) = meet(A,join(C,meet(A,B))). [para(1810(a,1),2728(a,1,2)),rewrite([5(1),5(4),6(5),5(6)])].
% 63.69/63.94 3022 meet(A,meet(B,join(C,meet(B,join(A,D))))) = meet(A,B). [para(2542(a,1),59(a,1,2,1,2,2)),rewrite([1291(12),6(7),2741(7),16(8),2542(10),2460(12)])].
% 63.69/63.94 3070 meet(meet(A,B),join(C,meet(D,join(E,meet(A,B))))) = meet(A,meet(B,join(C,meet(D,join(E,meet(A,B)))))). [para(87(a,1),424(a,1,2,2)),rewrite([6(3),6(9),1756(14),6(9),5(13),1033(13),15(13)])].
% 63.69/63.94 3182 meet(A,meet(B,join(C,meet(D,join(meet(A,D),meet(A,B)))))) = meet(meet(A,B),join(C,meet(A,D))). [back_rewrite(2467),rewrite([3070(7)])].
% 63.69/63.94 3332 meet(A,meet(B,join(C,meet(D,join(meet(A,D),meet(A,E)))))) = meet(A,meet(B,join(C,meet(A,D)))). [para(2671(a,1),57(a,2,2,2,2)),rewrite([1749(6)])].
% 63.69/63.94 3356 meet(meet(A,B),join(C,meet(A,D))) = meet(A,meet(B,join(C,meet(A,D)))). [back_rewrite(3182),rewrite([3332(7)]),flip(a)].
% 63.69/63.94 3486 join(meet(A,B),meet(B,join(A,C))) = meet(B,join(A,C)). [para(5(a,1),2735(a,1,1))].
% 63.69/63.94 3491 join(meet(A,B),meet(A,join(C,meet(B,join(A,D))))) = meet(A,join(C,meet(B,join(A,D)))). [para(16(a,1),2735(a,1,1)),rewrite([6(4),6(9)])].
% 63.69/63.94 4048 join(meet(A,B),meet(join(B,C),join(D,meet(A,B)))) = meet(join(B,C),join(D,meet(A,B))). [para(410(a,1),3486(a,1,1)),rewrite([6(4),6(9)])].
% 63.69/63.94 8072 meet(A,meet(B,join(meet(A,C),meet(A,D)))) = meet(B,join(meet(A,C),meet(A,D))). [para(1610(a,1),8(a,2,2)),rewrite([5(4)])].
% 63.69/63.94 8106 meet(A,join(meet(B,C),meet(B,join(A,D)))) = meet(A,B). [para(1610(a,1),3022(a,1,2))].
% 63.69/63.94 8303 meet(A,join(meet(B,C),meet(B,meet(A,join(C,D))))) = meet(meet(B,A),join(C,D)). [para(8106(a,1),64(a,1,2,1)),rewrite([5(2),16(8),5(6),3356(8),8072(8),4048(8),16(7),8(8,R),8(7),5(6),8(7,R),5(6),15(8),8106(12),5(8),6(9),3356(10),8072(10)]),flip(a)].
% 63.69/63.94 8305 meet(meet(A,B),join(C,D)) = meet(A,meet(B,join(C,D))). [para(8106(a,1),64(a,2,2,2)),rewrite([8106(6),5(2),16(8),5(6),3356(8),8072(8),4048(8),16(7),8(8,R),8(7),5(6),8(7,R),5(6),15(8),5(8),6(9),3356(10),8303(9),1033(7),15(7)])].
% 63.69/63.94 10163 meet(A,meet(B,meet(join(A,C),join(D,E)))) = meet(A,meet(B,join(D,E))). [para(16(a,1),8305(a,1,1)),rewrite([8305(3),8305(7)]),flip(a)].
% 63.69/63.94 10275 meet(meet(A,B),meet(join(C,D),join(E,F))) = meet(A,meet(B,meet(join(C,D),join(E,F)))). [para(8305(a,1),8305(a,1,1)),rewrite([8305(5),8305(4)]),flip(a)].
% 63.69/63.94 10442 meet(A,meet(B,join(C,join(meet(A,B),meet(D,E))))) = meet(A,B). [back_rewrite(1160),rewrite([10275(8),10163(8)])].
% 63.69/63.94 15699 meet(A,meet(B,join(meet(A,B),meet(C,D)))) = meet(A,B). [para(2(a,1),10442(a,1,2,2))].
% 63.69/63.94 15747 join(meet(A,B),meet(A,join(meet(A,B),meet(C,D)))) = meet(A,join(meet(A,B),meet(C,D))). [para(15699(a,1),2728(a,1,2)),rewrite([5(1),5(5),6(6),5(7)])].
% 63.69/63.94 24867 join(A,meet(B,join(meet(B,C),meet(D,join(B,A))))) = join(A,join(meet(B,D),meet(B,C))). [para(1427(a,1),1869(a,1,2,2)),rewrite([6(6),18(7),1107(9),3491(8),10(8,R),6(7),15747(7),10(10,R)])].
% 63.69/63.94 24868 $F # answer(prove_H7). [back_rewrite(14),rewrite([24867(14),6(9),2502(10)]),xx(a)].
% 63.69/63.94
% 63.69/63.94 % SZS output end Refutation
% 63.69/63.94 ============================== end of proof ==========================
% 63.69/63.94
% 63.69/63.94 ============================== STATISTICS ============================
% 63.69/63.94
% 63.69/63.94 Given=646. Generated=715650. Kept=24863. proofs=1.
% 63.69/63.94 Usable=504. Sos=9999. Demods=10402. Limbo=1, Disabled=14369. Hints=0.
% 63.69/63.94 Megabytes=32.15.
% 63.69/63.94 User_CPU=62.54, System_CPU=0.39, Wall_clock=63.
% 63.69/63.94
% 63.69/63.94 ============================== end of statistics =====================
% 63.69/63.94
% 63.69/63.94 ============================== end of search =========================
% 63.69/63.94
% 63.69/63.94 THEOREM PROVED
% 63.69/63.94 % SZS status Unsatisfiable
% 63.69/63.94
% 63.69/63.94 Exiting with 1 proof.
% 63.69/63.94
% 63.69/63.94 Process 16781 exit (max_proofs) Tue Jun 28 22:04:26 2022
% 63.69/63.94 Prover9 interrupted
%------------------------------------------------------------------------------