TSTP Solution File: LAT150-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT150-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n026.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 06:25:48 EDT 2022
% Result : Unsatisfiable 16.25s 16.56s
% Output : Refutation 16.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LAT150-1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jun 29 09:43:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 16.25/16.56 ============================== Prover9 ===============================
% 16.25/16.56 Prover9 (32) version 2009-11A, November 2009.
% 16.25/16.56 Process 8847 was started by sandbox2 on n026.cluster.edu,
% 16.25/16.56 Wed Jun 29 09:43:18 2022
% 16.25/16.56 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_8694_n026.cluster.edu".
% 16.25/16.56 ============================== end of head ===========================
% 16.25/16.56
% 16.25/16.56 ============================== INPUT =================================
% 16.25/16.56
% 16.25/16.56 % Reading from file /tmp/Prover9_8694_n026.cluster.edu
% 16.25/16.56
% 16.25/16.56 set(prolog_style_variables).
% 16.25/16.56 set(auto2).
% 16.25/16.56 % set(auto2) -> set(auto).
% 16.25/16.56 % set(auto) -> set(auto_inference).
% 16.25/16.56 % set(auto) -> set(auto_setup).
% 16.25/16.56 % set(auto_setup) -> set(predicate_elim).
% 16.25/16.56 % set(auto_setup) -> assign(eq_defs, unfold).
% 16.25/16.56 % set(auto) -> set(auto_limits).
% 16.25/16.56 % set(auto_limits) -> assign(max_weight, "100.000").
% 16.25/16.56 % set(auto_limits) -> assign(sos_limit, 20000).
% 16.25/16.56 % set(auto) -> set(auto_denials).
% 16.25/16.56 % set(auto) -> set(auto_process).
% 16.25/16.56 % set(auto2) -> assign(new_constants, 1).
% 16.25/16.56 % set(auto2) -> assign(fold_denial_max, 3).
% 16.25/16.56 % set(auto2) -> assign(max_weight, "200.000").
% 16.25/16.56 % set(auto2) -> assign(max_hours, 1).
% 16.25/16.56 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 16.25/16.56 % set(auto2) -> assign(max_seconds, 0).
% 16.25/16.56 % set(auto2) -> assign(max_minutes, 5).
% 16.25/16.56 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 16.25/16.56 % set(auto2) -> set(sort_initial_sos).
% 16.25/16.56 % set(auto2) -> assign(sos_limit, -1).
% 16.25/16.56 % set(auto2) -> assign(lrs_ticks, 3000).
% 16.25/16.56 % set(auto2) -> assign(max_megs, 400).
% 16.25/16.56 % set(auto2) -> assign(stats, some).
% 16.25/16.56 % set(auto2) -> clear(echo_input).
% 16.25/16.56 % set(auto2) -> set(quiet).
% 16.25/16.56 % set(auto2) -> clear(print_initial_clauses).
% 16.25/16.56 % set(auto2) -> clear(print_given).
% 16.25/16.56 assign(lrs_ticks,-1).
% 16.25/16.56 assign(sos_limit,10000).
% 16.25/16.56 assign(order,kbo).
% 16.25/16.56 set(lex_order_vars).
% 16.25/16.56 clear(print_given).
% 16.25/16.56
% 16.25/16.56 % formulas(sos). % not echoed (10 formulas)
% 16.25/16.56
% 16.25/16.56 ============================== end of input ==========================
% 16.25/16.56
% 16.25/16.56 % From the command line: assign(max_seconds, 300).
% 16.25/16.56
% 16.25/16.56 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 16.25/16.56
% 16.25/16.56 % Formulas that are not ordinary clauses:
% 16.25/16.56
% 16.25/16.56 ============================== end of process non-clausal formulas ===
% 16.25/16.56
% 16.25/16.56 ============================== PROCESS INITIAL CLAUSES ===============
% 16.25/16.56
% 16.25/16.56 ============================== PREDICATE ELIMINATION =================
% 16.25/16.56
% 16.25/16.56 ============================== end predicate elimination =============
% 16.25/16.56
% 16.25/16.56 Auto_denials:
% 16.25/16.56 % copying label prove_H40 to answer in negative clause
% 16.25/16.56
% 16.25/16.56 Term ordering decisions:
% 16.25/16.56 Function symbol KB weights: a=1. b=1. c=1. d=1. meet=1. join=1.
% 16.25/16.56
% 16.25/16.56 ============================== end of process initial clauses ========
% 16.25/16.56
% 16.25/16.56 ============================== CLAUSES FOR SEARCH ====================
% 16.25/16.56
% 16.25/16.56 ============================== end of clauses for search =============
% 16.25/16.56
% 16.25/16.56 ============================== SEARCH ================================
% 16.25/16.56
% 16.25/16.56 % Starting search at 0.01 seconds.
% 16.25/16.56
% 16.25/16.56 Low Water (keep): wt=181.000, iters=3504
% 16.25/16.56
% 16.25/16.56 Low Water (keep): wt=103.000, iters=3341
% 16.25/16.56
% 16.25/16.56 Low Water (keep): wt=99.000, iters=3370
% 16.25/16.56
% 16.25/16.56 Low Water (keep): wt=97.000, iters=3365
% 16.25/16.56
% 16.25/16.56 Low Water (keep): wt=95.000, iters=3338
% 16.25/16.56
% 16.25/16.56 Low Water (keep): wt=91.000, iters=3381
% 16.25/16.56
% 16.25/16.56 Low Water (keep): wt=89.000, iters=3346
% 16.25/16.56
% 16.25/16.56 Low Water (keep): wt=81.000, iters=3366
% 16.25/16.56
% 16.25/16.56 Low Water (keep): wt=67.000, iters=4644
% 16.25/16.56
% 16.25/16.56 Low Water (keep): wt=55.000, iters=3930
% 16.25/16.56
% 16.25/16.56 Low Water (keep): wt=53.000, iters=3348
% 16.25/16.56
% 16.25/16.56 Low Water (keep): wt=47.000, iters=3337
% 16.25/16.56
% 16.25/16.56 Low Water (keep): wt=45.000, iters=3368
% 16.25/16.56
% 16.25/16.56 Low Water (keep): wt=43.000, iters=3428
% 16.25/16.56
% 16.25/16.56 Low Water (keep): wt=41.000, iters=3381
% 16.25/16.56
% 16.25/16.56 ============================== PROOF =================================
% 16.25/16.56 % SZS status Unsatisfiable
% 16.25/16.56 % SZS output start Refutation
% 16.25/16.56
% 16.25/16.56 % Proof 1 at 15.46 (+ 0.09) seconds: prove_H40.
% 16.25/16.56 % Length of proof is 88.
% 16.25/16.56 % Level of proof is 28.
% 16.25/16.56 % Maximum clause weight is 33.000.
% 16.25/16.56 % Given clauses 290.
% 16.25/16.56
% 16.25/16.56 1 meet(A,A) = A # label(idempotence_of_meet) # label(axiom). [assumption].
% 16.25/16.56 2 join(A,A) = A # label(idempotence_of_join) # label(axiom). [assumption].
% 16.25/16.56 3 meet(A,join(A,B)) = A # label(absorption1) # label(axiom). [assumption].
% 16.25/16.56 4 join(A,meet(A,B)) = A # label(absorption2) # label(axiom). [assumption].
% 16.25/16.56 5 meet(A,B) = meet(B,A) # label(commutativity_of_meet) # label(axiom). [assumption].
% 16.25/16.56 6 join(A,B) = join(B,A) # label(commutativity_of_join) # label(axiom). [assumption].
% 16.25/16.56 7 meet(meet(A,B),C) = meet(A,meet(B,C)) # label(associativity_of_meet) # label(axiom). [assumption].
% 16.25/16.56 8 meet(A,meet(B,C)) = meet(C,meet(A,B)). [copy(7),rewrite([5(2)]),flip(a)].
% 16.25/16.56 9 join(join(A,B),C) = join(A,join(B,C)) # label(associativity_of_join) # label(axiom). [assumption].
% 16.25/16.56 10 join(A,join(B,C)) = join(C,join(A,B)). [copy(9),rewrite([6(2)]),flip(a)].
% 16.25/16.56 11 meet(A,join(B,meet(C,join(A,D)))) = meet(A,join(B,meet(C,join(D,meet(A,C))))) # label(equation_H39) # label(axiom). [assumption].
% 16.25/16.56 12 meet(A,join(B,meet(C,join(D,meet(A,C))))) = meet(A,join(B,meet(C,join(A,D)))). [copy(11),flip(a)].
% 16.25/16.56 13 meet(a,join(b,meet(c,join(a,d)))) != meet(a,join(b,meet(c,join(d,meet(c,join(a,b)))))) # label(prove_H40) # label(negated_conjecture) # answer(prove_H40). [assumption].
% 16.25/16.56 14 meet(a,join(b,meet(c,join(d,meet(c,join(a,b)))))) != meet(a,join(b,meet(c,join(a,d)))) # answer(prove_H40). [copy(13),flip(a)].
% 16.25/16.56 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)])].
% 16.25/16.56 16 meet(A,meet(B,join(A,C))) = meet(A,B). [para(3(a,1),8(a,2,2)),rewrite([5(2),5(4)])].
% 16.25/16.56 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)])].
% 16.25/16.56 18 join(A,join(B,meet(A,C))) = join(A,B). [para(4(a,1),10(a,2,2)),rewrite([6(2),6(4)])].
% 16.25/16.56 19 meet(A,meet(B,join(C,meet(A,B)))) = meet(A,B). [para(2(a,1),12(a,1,2)),rewrite([6(10),12(11),2(9),16(7)])].
% 16.25/16.56 20 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)].
% 16.25/16.56 27 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)])].
% 16.25/16.56 29 meet(A,meet(B,meet(C,join(D,meet(A,B))))) = meet(A,meet(B,C)). [para(19(a,1),8(a,2,2)),rewrite([5(4),8(4,R),5(3),8(7),5(6),8(7,R),5(6)])].
% 16.25/16.56 31 meet(A,meet(join(B,meet(C,join(D,meet(A,C)))),join(E,meet(A,join(B,meet(C,join(A,D))))))) = meet(A,join(B,meet(C,join(A,D)))). [para(12(a,1),19(a,1,2,2,2)),rewrite([12(16)])].
% 16.25/16.56 35 meet(join(A,B),join(A,meet(B,join(A,B)))) = join(A,B). [para(1(a,1),20(a,2)),rewrite([6(3),10(3,R),2(2)])].
% 16.25/16.56 44 join(A,join(B,join(join(A,B),meet(C,join(A,B))))) = join(A,B). [para(2(a,1),27(a,2)),rewrite([5(3),10(6,R),6(5),10(5,R),6(4)])].
% 16.25/16.56 45 join(A,join(B,join(C,join(D,meet(A,E))))) = join(A,join(B,join(C,D))). [para(27(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)])].
% 16.25/16.56 68 meet(A,meet(B,meet(join(C,meet(A,B)),join(D,meet(A,join(C,B)))))) = meet(A,B). [para(12(a,1),29(a,1,2,2)),rewrite([5(1),6(3),8(7,R),5(6),5(9),5(11),19(12)])].
% 16.25/16.56 93 join(join(A,B),meet(C,join(A,B))) = join(A,B). [para(44(a,1),10(a,1)),rewrite([6(7),17(7)]),flip(a)].
% 16.25/16.56 95 join(A,meet(B,join(A,B))) = join(A,B). [para(35(a,1),44(a,1,2,2,2)),rewrite([6(7),10(7,R),6(6),93(6),17(4),6(4),93(4),17(2)]),flip(a)].
% 16.25/16.56 114 join(A,meet(join(A,B),join(B,meet(A,C)))) = join(A,B). [para(18(a,1),95(a,1,2,2)),rewrite([5(4),18(8)])].
% 16.25/16.56 116 meet(A,join(B,join(meet(A,C),meet(C,join(A,B))))) = meet(A,join(B,meet(A,C))). [para(93(a,1),12(a,1,2)),rewrite([6(8),10(8),6(7),10(8,R),6(7)]),flip(a)].
% 16.25/16.56 127 meet(A,join(B,meet(join(A,B),join(A,meet(B,C))))) = A. [para(114(a,1),12(a,2,2)),rewrite([6(1),6(3),3(4),6(3),6(7),3(8)])].
% 16.25/16.56 172 meet(A,join(B,A)) = A. [para(127(a,1),5(a,2)),rewrite([6(1),114(5),5(2)])].
% 16.25/16.56 184 meet(join(A,B),join(A,meet(B,C))) = join(A,meet(B,C)). [para(18(a,1),172(a,1,2)),rewrite([6(3),5(4)])].
% 16.25/16.56 186 meet(join(A,B),join(B,meet(A,C))) = join(B,meet(A,C)). [para(6(a,1),184(a,1,1))].
% 16.25/16.56 190 join(A,meet(B,join(A,join(B,C)))) = join(A,B). [para(184(a,1),12(a,1)),rewrite([5(2),172(2),6(1),3(2),6(4),10(4),6(3),10(4,R),6(3),184(7)]),flip(a)].
% 16.25/16.56 191 meet(join(A,B),join(A,meet(C,join(A,B)))) = join(A,meet(C,join(A,B))). [para(17(a,1),184(a,1,1)),rewrite([5(3),5(7)])].
% 16.25/16.56 203 join(A,meet(meet(A,B),join(A,C))) = A. [para(4(a,1),190(a,2)),rewrite([6(3),18(4)])].
% 16.25/16.56 251 meet(meet(A,B),join(A,C)) = meet(A,B). [para(203(a,1),19(a,1,2,2)),rewrite([5(3),3(3),5(2),15(2)]),flip(a)].
% 16.25/16.56 256 meet(meet(A,B),join(B,C)) = meet(A,B). [para(5(a,1),251(a,1,1)),rewrite([5(4)])].
% 16.25/16.56 264 join(join(A,B),meet(A,C)) = join(A,B). [para(251(a,1),93(a,1,2))].
% 16.25/16.56 265 meet(join(A,meet(B,C)),join(A,join(B,D))) = join(A,meet(B,C)). [para(184(a,1),251(a,1,1)),rewrite([6(4),10(4),6(3),10(4,R),6(3),184(9)])].
% 16.25/16.56 274 meet(meet(A,B),join(C,meet(B,join(A,D)))) = meet(A,B). [para(16(a,1),256(a,1,1)),rewrite([6(4),16(8)])].
% 16.25/16.56 275 meet(meet(A,B),join(C,meet(B,join(D,meet(A,B))))) = meet(A,B). [para(19(a,1),256(a,1,1)),rewrite([6(5),19(10)])].
% 16.25/16.56 285 join(join(A,B),meet(B,C)) = join(A,B). [para(6(a,1),264(a,1,1)),rewrite([6(4)])].
% 16.25/16.56 288 join(join(A,B),join(meet(A,C),meet(D,join(A,B)))) = join(A,B). [para(264(a,1),18(a,2)),rewrite([5(4)])].
% 16.25/16.56 326 join(join(A,join(B,C)),meet(D,join(A,C))) = join(A,join(B,C)). [para(10(a,1),285(a,1,1)),rewrite([6(3),5(4),6(6),10(7,R),6(6)])].
% 16.25/16.56 329 join(join(A,B),join(meet(B,C),meet(D,join(A,B)))) = join(A,B). [para(285(a,1),18(a,2)),rewrite([5(4)])].
% 16.25/16.56 330 join(join(A,B),meet(C,join(B,meet(A,D)))) = join(A,B). [para(18(a,1),285(a,1,1)),rewrite([5(4),18(8)])].
% 16.25/16.56 335 meet(A,join(meet(A,B),meet(A,C))) = join(meet(A,B),meet(A,C)). [para(4(a,1),186(a,1,1))].
% 16.25/16.56 419 meet(A,join(B,meet(join(A,C),join(A,D)))) = A. [para(3(a,1),274(a,1,1)),rewrite([3(7)])].
% 16.25/16.56 456 meet(A,join(B,join(C,meet(join(A,D),join(A,E))))) = A. [para(419(a,1),256(a,1,1)),rewrite([6(5),10(5,R),6(4),419(11)])].
% 16.25/16.56 505 join(join(A,B),meet(C,join(A,meet(B,D)))) = join(A,B). [para(330(a,1),6(a,2)),rewrite([6(4),6(5),6(6)])].
% 16.25/16.56 872 meet(join(A,join(B,C)),join(A,meet(B,D))) = join(A,meet(B,D)). [para(265(a,1),5(a,1)),flip(a)].
% 16.25/16.56 873 meet(join(A,meet(B,C)),join(A,join(C,D))) = join(A,meet(B,C)). [para(5(a,1),265(a,1,1,2)),rewrite([5(6)])].
% 16.25/16.56 939 join(A,join(join(B,C),meet(D,E))) = join(A,join(B,join(C,meet(D,E)))). [para(251(a,1),45(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)].
% 16.25/16.56 1260 join(A,join(B,join(C,meet(D,join(A,B))))) = join(A,join(B,C)). [para(326(a,1),6(a,2)),rewrite([6(3),10(5,R),939(5),6(6)])].
% 16.25/16.56 1546 join(join(A,B),join(meet(B,C),meet(A,D))) = join(A,B). [para(251(a,1),329(a,1,2,2))].
% 16.25/16.56 1585 join(join(A,B),meet(C,join(meet(B,D),meet(A,E)))) = join(A,B). [para(1546(a,1),184(a,1,1)),rewrite([5(6),3(8),5(6)]),flip(a)].
% 16.25/16.56 1794 join(meet(A,B),meet(A,meet(B,C))) = meet(A,B). [para(251(a,1),335(a,1,2,1)),rewrite([5(4),8(4),5(3),8(4,R),5(3),3(6),251(4),5(4),8(4),5(3),8(4,R),5(3)]),flip(a)].
% 16.25/16.56 1855 join(meet(A,B),meet(A,join(meet(B,C),meet(B,D)))) = meet(A,B). [para(335(a,1),1794(a,1,2,2))].
% 16.25/16.56 2640 meet(join(A,join(B,C)),join(B,meet(C,D))) = join(B,meet(C,D)). [para(10(a,1),872(a,1,1))].
% 16.25/16.56 2765 meet(join(A,B),join(A,meet(C,B))) = join(A,meet(C,B)). [para(2(a,1),873(a,1,2,2)),rewrite([5(4)])].
% 16.25/16.56 3471 meet(A,join(B,meet(A,join(B,C)))) = meet(A,join(B,C)). [para(17(a,1),68(a,1,2,2,2,2,2)),rewrite([29(10),191(5)])].
% 16.25/16.56 4709 meet(A,join(meet(B,C),meet(B,join(A,D)))) = meet(A,B). [para(1855(a,1),31(a,1,2,2)),rewrite([5(7),275(7),15(2)]),flip(a)].
% 16.25/16.56 4760 meet(A,join(meet(B,C),meet(A,B))) = meet(A,B). [para(2(a,1),4709(a,1,2,2,2)),rewrite([5(2)])].
% 16.25/16.56 4981 meet(A,join(meet(B,C),meet(A,C))) = meet(A,C). [para(5(a,1),4760(a,1,2,1))].
% 16.25/16.56 5002 join(A,join(meet(B,C),meet(B,A))) = join(A,meet(B,C)). [para(4760(a,1),505(a,1,2)),rewrite([6(2),5(3),6(4),10(4,R),6(6)])].
% 16.25/16.56 5161 join(A,meet(B,A)) = A. [para(4981(a,1),2765(a,1)),rewrite([6(2),5(3),3(3),6(3),5(4),3(4),6(2)]),flip(a)].
% 16.25/16.56 5203 join(meet(A,B),meet(A,join(B,C))) = meet(A,join(B,C)). [para(16(a,1),5161(a,1,2)),rewrite([5(3),6(4)])].
% 16.25/16.56 6605 meet(A,join(join(A,B),meet(C,join(A,D)))) = A. [para(5002(a,1),456(a,1,2)),rewrite([5(3)])].
% 16.25/16.56 6649 meet(A,join(join(A,B),meet(C,D))) = A. [para(274(a,1),6605(a,1,2,2))].
% 16.25/16.56 6948 join(join(A,B),meet(C,D)) = join(A,join(B,meet(C,D))). [para(6649(a,1),288(a,1,2,2)),rewrite([5(5),6(6),10(7,R),939(6),10(6,R),939(6),1260(6),17(4)]),flip(a)].
% 16.25/16.56 6950 join(A,join(B,meet(C,join(B,meet(A,D))))) = join(A,B). [para(6649(a,1),1585(a,1,2,2,1)),rewrite([6948(5)])].
% 16.25/16.56 7706 join(meet(A,B),meet(B,join(A,C))) = meet(B,join(A,C)). [para(5(a,1),5203(a,1,1))].
% 16.25/16.56 7782 meet(A,join(B,meet(C,join(A,B)))) = meet(A,join(B,meet(A,C))). [back_rewrite(116),rewrite([7706(4)])].
% 16.25/16.56 8310 join(A,meet(join(A,B),join(A,C))) = meet(join(A,B),join(A,C)). [para(3(a,1),7706(a,1,1))].
% 16.25/16.56 9239 meet(A,meet(join(B,C),join(D,A))) = meet(A,join(B,C)). [para(5203(a,1),2640(a,1,2)),rewrite([6(2),4(2),8(4,R),5203(8)])].
% 16.25/16.56 9319 meet(A,meet(join(A,B),join(C,D))) = meet(A,join(C,D)). [para(5(a,1),9239(a,1,2)),rewrite([6(1)])].
% 16.25/16.56 12096 meet(A,join(B,meet(C,join(D,meet(C,join(A,E)))))) = meet(A,join(B,meet(C,join(A,join(E,D))))). [para(12(a,1),9319(a,1,2)),rewrite([6(3),10(3),6(2),10(3,R),6(2),9319(7),5(7)]),flip(a)].
% 16.25/16.56 12107 meet(A,join(B,meet(join(A,C),join(B,D)))) = meet(A,join(B,D)). [para(3471(a,1),9319(a,1,2)),rewrite([9319(4)]),flip(a)].
% 16.25/16.56 12141 meet(a,join(b,meet(c,join(a,join(b,d))))) != meet(a,join(b,meet(c,join(a,d)))) # answer(prove_H40). [back_rewrite(14),rewrite([12096(13)])].
% 16.25/16.56 14593 join(A,meet(join(B,C),join(B,meet(A,D)))) = join(A,B). [para(8310(a,1),6950(a,1,2))].
% 16.25/16.56 14632 join(A,meet(join(B,C),join(A,B))) = join(A,B). [para(1(a,1),14593(a,1,2,2,2)),rewrite([6(2)])].
% 16.25/16.56 14775 join(A,meet(join(A,B),join(B,C))) = join(A,B). [para(5(a,1),14632(a,1,2))].
% 16.25/16.56 14828 join(A,meet(B,join(A,meet(C,B)))) = join(A,meet(C,B)). [para(4981(a,1),14775(a,1,2)),rewrite([5(3)])].
% 16.25/16.56 16229 meet(A,join(B,meet(C,join(A,join(B,D))))) = meet(A,join(B,meet(C,join(A,D)))). [para(7782(a,1),12107(a,1,2,2)),rewrite([5(3),14828(6),6(6),10(6,R),6(5)]),flip(a)].
% 16.25/16.56 16230 $F # answer(prove_H40). [resolve(16229,a,12141,a)].
% 16.25/16.56
% 16.25/16.56 % SZS output end Refutation
% 16.25/16.56 ============================== end of proof ==========================
% 16.25/16.56
% 16.25/16.56 ============================== STATISTICS ============================
% 16.25/16.56
% 16.25/16.56 Given=290. Generated=139269. Kept=16225. proofs=1.
% 16.25/16.56 Usable=179. Sos=8239. Demods=8377. Limbo=37, Disabled=7779. Hints=0.
% 16.25/16.56 Megabytes=28.39.
% 16.25/16.56 User_CPU=15.46, System_CPU=0.09, Wall_clock=16.
% 16.25/16.56
% 16.25/16.56 ============================== end of statistics =====================
% 16.25/16.56
% 16.25/16.56 ============================== end of search =========================
% 16.25/16.56
% 16.25/16.56 THEOREM PROVED
% 16.25/16.56 % SZS status Unsatisfiable
% 16.25/16.56
% 16.25/16.56 Exiting with 1 proof.
% 16.25/16.56
% 16.25/16.56 Process 8847 exit (max_proofs) Wed Jun 29 09:43:34 2022
% 16.25/16.56 Prover9 interrupted
%------------------------------------------------------------------------------