TSTP Solution File: LAT145-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT145-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n007.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 06:25:47 EDT 2022
% Result : Unsatisfiable 5.40s 5.71s
% Output : Refutation 5.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT145-1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n007.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 : Tue Jun 28 18:23:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 5.40/5.71 ============================== Prover9 ===============================
% 5.40/5.71 Prover9 (32) version 2009-11A, November 2009.
% 5.40/5.71 Process 16477 was started by sandbox on n007.cluster.edu,
% 5.40/5.71 Tue Jun 28 18:23:52 2022
% 5.40/5.71 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_16323_n007.cluster.edu".
% 5.40/5.71 ============================== end of head ===========================
% 5.40/5.71
% 5.40/5.71 ============================== INPUT =================================
% 5.40/5.71
% 5.40/5.71 % Reading from file /tmp/Prover9_16323_n007.cluster.edu
% 5.40/5.71
% 5.40/5.71 set(prolog_style_variables).
% 5.40/5.71 set(auto2).
% 5.40/5.71 % set(auto2) -> set(auto).
% 5.40/5.71 % set(auto) -> set(auto_inference).
% 5.40/5.71 % set(auto) -> set(auto_setup).
% 5.40/5.71 % set(auto_setup) -> set(predicate_elim).
% 5.40/5.71 % set(auto_setup) -> assign(eq_defs, unfold).
% 5.40/5.71 % set(auto) -> set(auto_limits).
% 5.40/5.71 % set(auto_limits) -> assign(max_weight, "100.000").
% 5.40/5.71 % set(auto_limits) -> assign(sos_limit, 20000).
% 5.40/5.71 % set(auto) -> set(auto_denials).
% 5.40/5.71 % set(auto) -> set(auto_process).
% 5.40/5.71 % set(auto2) -> assign(new_constants, 1).
% 5.40/5.71 % set(auto2) -> assign(fold_denial_max, 3).
% 5.40/5.71 % set(auto2) -> assign(max_weight, "200.000").
% 5.40/5.71 % set(auto2) -> assign(max_hours, 1).
% 5.40/5.71 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 5.40/5.71 % set(auto2) -> assign(max_seconds, 0).
% 5.40/5.71 % set(auto2) -> assign(max_minutes, 5).
% 5.40/5.71 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 5.40/5.71 % set(auto2) -> set(sort_initial_sos).
% 5.40/5.71 % set(auto2) -> assign(sos_limit, -1).
% 5.40/5.71 % set(auto2) -> assign(lrs_ticks, 3000).
% 5.40/5.71 % set(auto2) -> assign(max_megs, 400).
% 5.40/5.71 % set(auto2) -> assign(stats, some).
% 5.40/5.71 % set(auto2) -> clear(echo_input).
% 5.40/5.71 % set(auto2) -> set(quiet).
% 5.40/5.71 % set(auto2) -> clear(print_initial_clauses).
% 5.40/5.71 % set(auto2) -> clear(print_given).
% 5.40/5.71 assign(lrs_ticks,-1).
% 5.40/5.71 assign(sos_limit,10000).
% 5.40/5.71 assign(order,kbo).
% 5.40/5.71 set(lex_order_vars).
% 5.40/5.71 clear(print_given).
% 5.40/5.71
% 5.40/5.71 % formulas(sos). % not echoed (10 formulas)
% 5.40/5.71
% 5.40/5.71 ============================== end of input ==========================
% 5.40/5.71
% 5.40/5.71 % From the command line: assign(max_seconds, 300).
% 5.40/5.71
% 5.40/5.71 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 5.40/5.71
% 5.40/5.71 % Formulas that are not ordinary clauses:
% 5.40/5.71
% 5.40/5.71 ============================== end of process non-clausal formulas ===
% 5.40/5.71
% 5.40/5.71 ============================== PROCESS INITIAL CLAUSES ===============
% 5.40/5.71
% 5.40/5.71 ============================== PREDICATE ELIMINATION =================
% 5.40/5.71
% 5.40/5.71 ============================== end predicate elimination =============
% 5.40/5.71
% 5.40/5.71 Auto_denials:
% 5.40/5.71 % copying label prove_H6 to answer in negative clause
% 5.40/5.71
% 5.40/5.71 Term ordering decisions:
% 5.40/5.71 Function symbol KB weights: a=1. b=1. c=1. meet=1. join=1.
% 5.40/5.71
% 5.40/5.71 ============================== end of process initial clauses ========
% 5.40/5.71
% 5.40/5.71 ============================== CLAUSES FOR SEARCH ====================
% 5.40/5.71
% 5.40/5.71 ============================== end of clauses for search =============
% 5.40/5.71
% 5.40/5.71 ============================== SEARCH ================================
% 5.40/5.71
% 5.40/5.71 % Starting search at 0.01 seconds.
% 5.40/5.71
% 5.40/5.71 Low Water (keep): wt=95.000, iters=3388
% 5.40/5.71
% 5.40/5.71 Low Water (keep): wt=87.000, iters=3413
% 5.40/5.71
% 5.40/5.71 Low Water (keep): wt=81.000, iters=3345
% 5.40/5.71
% 5.40/5.71 Low Water (keep): wt=79.000, iters=3418
% 5.40/5.71
% 5.40/5.71 Low Water (keep): wt=77.000, iters=3418
% 5.40/5.71
% 5.40/5.71 Low Water (keep): wt=69.000, iters=3445
% 5.40/5.71
% 5.40/5.71 Low Water (keep): wt=65.000, iters=3334
% 5.40/5.71
% 5.40/5.71 Low Water (keep): wt=63.000, iters=3439
% 5.40/5.71
% 5.40/5.71 Low Water (keep): wt=61.000, iters=3396
% 5.40/5.71
% 5.40/5.71 Low Water (keep): wt=59.000, iters=3351
% 5.40/5.71
% 5.40/5.71 ============================== PROOF =================================
% 5.40/5.71 % SZS status Unsatisfiable
% 5.40/5.71 % SZS output start Refutation
% 5.40/5.71
% 5.40/5.71 % Proof 1 at 4.66 (+ 0.05) seconds: prove_H6.
% 5.40/5.71 % Length of proof is 86.
% 5.40/5.71 % Level of proof is 27.
% 5.40/5.71 % Maximum clause weight is 37.000.
% 5.40/5.71 % Given clauses 207.
% 5.40/5.71
% 5.40/5.71 1 meet(A,A) = A # label(idempotence_of_meet) # label(axiom). [assumption].
% 5.40/5.71 2 join(A,A) = A # label(idempotence_of_join) # label(axiom). [assumption].
% 5.40/5.71 3 meet(A,join(A,B)) = A # label(absorption1) # label(axiom). [assumption].
% 5.40/5.71 4 join(A,meet(A,B)) = A # label(absorption2) # label(axiom). [assumption].
% 5.40/5.71 5 meet(A,B) = meet(B,A) # label(commutativity_of_meet) # label(axiom). [assumption].
% 5.40/5.71 6 join(A,B) = join(B,A) # label(commutativity_of_join) # label(axiom). [assumption].
% 5.40/5.71 7 meet(meet(A,B),C) = meet(A,meet(B,C)) # label(associativity_of_meet) # label(axiom). [assumption].
% 5.40/5.71 8 meet(A,meet(B,C)) = meet(C,meet(A,B)). [copy(7),rewrite([5(2)]),flip(a)].
% 5.40/5.71 9 join(join(A,B),C) = join(A,join(B,C)) # label(associativity_of_join) # label(axiom). [assumption].
% 5.40/5.71 10 join(A,join(B,C)) = join(C,join(A,B)). [copy(9),rewrite([6(2)]),flip(a)].
% 5.40/5.71 11 meet(A,join(B,meet(A,meet(C,D)))) = meet(A,join(B,meet(C,join(meet(A,D),meet(B,D))))) # label(equation_H32) # label(axiom). [assumption].
% 5.40/5.71 12 meet(A,join(B,meet(C,join(meet(A,D),meet(B,D))))) = meet(A,join(B,meet(A,meet(C,D)))). [copy(11),flip(a)].
% 5.40/5.71 13 meet(a,join(b,meet(a,c))) != meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) # label(prove_H6) # label(negated_conjecture) # answer(prove_H6). [assumption].
% 5.40/5.71 14 meet(a,join(meet(c,join(a,b)),meet(a,join(b,meet(a,c))))) != meet(a,join(b,meet(a,c))) # answer(prove_H6). [copy(13),rewrite([6(21)]),flip(a)].
% 5.40/5.71 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)])].
% 5.40/5.71 16 meet(A,meet(B,join(A,C))) = meet(A,B). [para(3(a,1),8(a,2,2)),rewrite([5(2),5(4)])].
% 5.40/5.71 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)])].
% 5.40/5.71 18 join(A,join(B,meet(A,C))) = join(A,B). [para(4(a,1),10(a,2,2)),rewrite([6(2),6(4)])].
% 5.40/5.71 19 meet(A,join(B,meet(C,join(B,meet(A,B))))) = meet(A,join(B,meet(A,meet(B,C)))). [para(1(a,1),12(a,1,2,2,2,2)),rewrite([6(2),5(6)])].
% 5.40/5.71 20 meet(A,join(B,meet(A,meet(C,join(meet(A,C),meet(B,C)))))) = meet(A,join(B,meet(A,C))). [para(1(a,1),12(a,1,2,2)),rewrite([18(4),5(7)]),flip(a)].
% 5.40/5.71 21 meet(meet(A,B),join(C,meet(A,join(meet(A,B),meet(B,C))))) = meet(meet(A,B),join(C,meet(A,B))). [para(1(a,1),12(a,2,2,2)),rewrite([5(3),8(3,R),1(2),5(3)])].
% 5.40/5.71 23 meet(A,join(B,meet(C,join(A,meet(B,join(A,D)))))) = meet(A,join(B,meet(A,C))). [para(3(a,1),12(a,1,2,2,2,1)),rewrite([16(9)])].
% 5.40/5.71 25 meet(A,join(B,meet(A,meet(B,C)))) = meet(A,B). [para(4(a,1),12(a,1,2)),flip(a)].
% 5.40/5.71 31 meet(A,join(B,meet(C,join(B,meet(A,B))))) = meet(A,B). [back_rewrite(19),rewrite([25(9)])].
% 5.40/5.71 34 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)])].
% 5.40/5.71 38 meet(A,join(B,meet(A,B))) = meet(A,B). [para(1(a,1),25(a,1,2,2,2))].
% 5.40/5.71 39 meet(A,join(join(A,B),meet(A,C))) = A. [para(3(a,1),25(a,2)),rewrite([5(3),16(4)])].
% 5.40/5.71 40 meet(A,meet(B,join(C,meet(A,meet(C,D))))) = meet(A,meet(C,B)). [para(25(a,1),8(a,2,2)),rewrite([5(4),8(7),5(6),8(7,R),5(6)])].
% 5.40/5.71 41 meet(A,join(meet(B,C),meet(A,meet(B,meet(C,D))))) = meet(A,meet(B,C)). [para(8(a,1),25(a,2)),rewrite([5(3),8(3),5(2),8(3,R),5(2),8(8),5(7),8(8,R),5(7)])].
% 5.40/5.71 46 meet(A,join(meet(B,join(A,C)),meet(A,meet(B,D)))) = meet(A,B). [para(16(a,1),25(a,2)),rewrite([5(5),8(5,R),5(4),34(6)])].
% 5.40/5.71 49 meet(A,join(B,meet(A,meet(C,join(meet(B,C),meet(A,C)))))) = meet(A,join(B,meet(A,C))). [para(6(a,1),20(a,1,2,2,2,2))].
% 5.40/5.71 74 meet(A,meet(B,join(join(A,C),meet(A,D)))) = meet(A,B). [para(39(a,1),8(a,2,2)),rewrite([5(4),5(6)])].
% 5.40/5.71 77 meet(A,join(join(join(A,B),meet(A,C)),meet(A,D))) = A. [para(39(a,1),25(a,2)),rewrite([5(7),74(8)])].
% 5.40/5.71 79 meet(A,join(join(A,B),meet(C,join(A,B)))) = A. [para(3(a,1),31(a,1,2,2,2,2)),rewrite([6(3),17(3),3(7)])].
% 5.40/5.71 80 meet(A,meet(B,join(C,meet(D,join(C,meet(A,C)))))) = meet(A,meet(C,B)). [para(31(a,1),8(a,2,2)),rewrite([5(5),8(8),5(7),8(8,R),5(7)])].
% 5.40/5.71 81 meet(A,join(B,meet(C,join(meet(A,D),meet(B,join(D,meet(E,join(D,meet(A,D))))))))) = meet(A,join(B,meet(A,meet(C,D)))). [para(31(a,1),12(a,1,2,2,2,1)),rewrite([80(16),5(11)])].
% 5.40/5.71 126 meet(meet(A,B),join(join(C,meet(A,B)),meet(meet(A,B),join(D,meet(A,B))))) = meet(A,B). [para(21(a,1),39(a,1,2,2)),rewrite([6(3)])].
% 5.40/5.71 244 join(join(A,B),meet(A,C)) = join(A,B). [para(77(a,1),79(a,1,2,2)),rewrite([6(9),18(9),18(7),17(5),5(5),3(5)]),flip(a)].
% 5.40/5.71 247 join(join(A,B),meet(B,C)) = join(A,B). [para(6(a,1),244(a,1,1)),rewrite([6(4)])].
% 5.40/5.71 251 join(join(A,B),join(meet(A,C),meet(D,join(A,B)))) = join(A,B). [para(244(a,1),18(a,2)),rewrite([5(4)])].
% 5.40/5.71 252 join(join(A,B),meet(C,join(A,B))) = join(A,B). [para(244(a,1),244(a,1,1)),rewrite([5(3),244(7)])].
% 5.40/5.71 254 meet(meet(A,B),join(C,meet(A,B))) = meet(A,B). [back_rewrite(126),rewrite([247(8)])].
% 5.40/5.71 307 join(join(A,B),join(meet(B,C),meet(D,join(A,B)))) = join(A,B). [para(247(a,1),18(a,2)),rewrite([5(4)])].
% 5.40/5.71 315 join(join(A,B),meet(C,meet(D,join(A,B)))) = join(A,B). [para(252(a,1),247(a,1,1)),rewrite([5(4),8(4,R),5(3),252(9)])].
% 5.40/5.71 322 meet(meet(A,B),join(A,C)) = meet(A,B). [para(244(a,1),254(a,1,2))].
% 5.40/5.71 325 meet(meet(A,B),join(B,C)) = meet(A,B). [para(5(a,1),322(a,1,1)),rewrite([5(4)])].
% 5.40/5.71 330 meet(meet(A,B),meet(join(A,C),join(D,meet(A,B)))) = meet(A,B). [para(322(a,1),16(a,2)),rewrite([6(4)])].
% 5.40/5.71 357 meet(meet(A,B),join(C,meet(B,join(A,D)))) = meet(A,B). [para(16(a,1),325(a,1,1)),rewrite([6(4),16(8)])].
% 5.40/5.71 369 meet(meet(A,B),join(C,join(D,meet(A,B)))) = meet(A,B). [para(254(a,1),325(a,1,1)),rewrite([6(4),10(4,R),6(3),254(9)])].
% 5.40/5.71 560 meet(A,join(B,meet(join(A,C),join(A,D)))) = A. [para(3(a,1),357(a,1,1)),rewrite([3(7)])].
% 5.40/5.71 561 meet(meet(A,B),join(C,meet(A,join(B,D)))) = meet(A,B). [para(357(a,1),5(a,2)),rewrite([5(4),5(5),5(6)])].
% 5.40/5.71 610 meet(A,join(B,meet(C,join(A,B)))) = meet(A,join(B,meet(A,C))). [para(560(a,1),23(a,1,2,2,2,2))].
% 5.40/5.71 889 meet(meet(A,B),join(C,meet(A,join(D,meet(A,B))))) = meet(A,B). [para(15(a,1),561(a,1,1)),rewrite([6(3),15(8)])].
% 5.40/5.71 947 meet(A,meet(join(B,meet(C,D)),join(meet(C,D),meet(A,meet(C,meet(D,E)))))) = meet(A,meet(C,D)). [para(254(a,1),40(a,2,2)),rewrite([5(5),8(5),5(4),8(5,R),5(4)])].
% 5.40/5.71 1123 meet(A,join(meet(A,meet(B,C)),meet(B,join(A,D)))) = meet(A,B). [para(6(a,1),46(a,1,2))].
% 5.40/5.71 1354 join(join(A,B),join(meet(A,C),meet(A,D))) = join(A,B). [para(322(a,1),251(a,1,2,2))].
% 5.40/5.71 1369 join(A,join(meet(B,C),meet(B,meet(C,D)))) = join(A,meet(B,C)). [para(254(a,1),1354(a,1,2,1)),rewrite([6(2),5(5),8(5),5(4),8(5,R),5(4),10(7,R),10(6),6(5),10(6,R),6(5),10(7,R),6(6),17(6),6(7)])].
% 5.40/5.71 1716 meet(A,join(join(A,B),meet(C,join(A,join(B,D))))) = A. [para(23(a,1),330(a,1,2)),rewrite([6(3),10(3),6(2),10(3,R),6(2),5(9),3(9),6(8),5(10),8(10,R),5(9),322(9),16(4),3(2),6(3),10(3),6(2),10(3,R),6(2)]),flip(a)].
% 5.40/5.71 1882 meet(A,join(join(A,B),meet(C,D))) = A. [para(369(a,1),1716(a,1,2,2))].
% 5.40/5.71 1919 join(join(A,B),meet(C,D)) = join(A,join(B,meet(C,D))). [para(1882(a,1),307(a,1,2,2)),rewrite([5(5),8(5),5(4),8(5,R),5(4),6(6),10(7,R),10(6),10(5),6(4),10(5,R),6(4),10(6,R),6(5),10(5,R),6(4),1369(5),17(4)]),flip(a)].
% 5.40/5.71 2194 join(A,join(B,meet(C,meet(D,join(A,B))))) = join(A,B). [back_rewrite(315),rewrite([1919(5)])].
% 5.40/5.71 2211 join(A,join(B,meet(C,join(A,B)))) = join(A,B). [back_rewrite(252),rewrite([1919(4)])].
% 5.40/5.71 2288 meet(A,meet(B,join(meet(C,D),meet(A,meet(C,meet(D,E)))))) = meet(A,meet(C,meet(D,B))). [para(41(a,1),8(a,2,2)),rewrite([5(6),8(10,R),5(9),8(9),5(8),8(9,R),5(8)])].
% 5.40/5.71 2330 meet(A,meet(B,meet(C,join(D,meet(B,C))))) = meet(A,meet(B,C)). [back_rewrite(947),rewrite([2288(9)])].
% 5.40/5.71 3108 join(A,join(meet(B,join(A,meet(B,C))),meet(B,meet(C,join(meet(A,C),meet(B,C)))))) = join(A,meet(B,meet(C,join(meet(A,C),meet(B,C))))). [para(49(a,1),2211(a,1,2,2)),rewrite([6(9)])].
% 5.40/5.71 3113 join(A,join(meet(B,meet(C,join(meet(A,C),meet(B,C)))),meet(B,meet(D,join(A,meet(B,C)))))) = join(A,meet(B,meet(C,join(meet(A,C),meet(B,C))))). [para(49(a,1),2194(a,1,2,2,2)),rewrite([8(9,R),5(8)])].
% 5.40/5.71 3236 join(A,join(meet(B,join(C,meet(B,D))),meet(B,meet(D,E)))) = join(A,meet(B,join(C,meet(B,D)))). [para(889(a,1),2194(a,1,2,2,2)),rewrite([8(5),5(4),8(5,R),5(4)])].
% 5.40/5.71 3242 meet(A,join(meet(B,join(C,meet(B,D))),meet(A,meet(B,D)))) = meet(A,join(meet(B,D),meet(B,join(C,meet(B,D))))). [para(889(a,1),610(a,1,2,2)),rewrite([6(5)]),flip(a)].
% 5.40/5.71 3245 join(A,meet(B,meet(C,join(meet(A,C),meet(B,C))))) = join(A,meet(B,join(A,meet(B,C)))). [back_rewrite(3108),rewrite([3236(10)]),flip(a)].
% 5.40/5.71 3250 join(A,join(meet(B,meet(C,join(meet(A,C),meet(B,C)))),meet(B,meet(D,join(A,meet(B,C)))))) = join(A,meet(B,join(A,meet(B,C)))). [back_rewrite(3113),rewrite([3245(17)])].
% 5.40/5.71 3382 meet(A,join(meet(A,meet(B,C)),meet(C,join(A,D)))) = meet(A,C). [para(5(a,1),1123(a,1,2,1,2))].
% 5.40/5.71 4448 meet(A,meet(B,join(C,meet(A,B)))) = meet(A,B). [para(2330(a,1),1(a,1)),rewrite([5(6),2330(6),1(3)]),flip(a)].
% 5.40/5.71 4495 join(A,meet(B,join(A,meet(B,C)))) = join(A,meet(B,C)). [back_rewrite(3250),rewrite([4448(5),2194(7)]),flip(a)].
% 5.40/5.71 4608 join(A,meet(B,join(meet(B,C),meet(A,C)))) = join(A,meet(B,C)). [para(12(a,1),4495(a,1,2)),rewrite([15(2),4495(4)]),flip(a)].
% 5.40/5.71 5581 meet(A,join(B,meet(A,meet(C,B)))) = meet(A,B). [para(560(a,1),3382(a,1,2,2)),rewrite([6(3)])].
% 5.40/5.71 5784 meet(A,join(meet(B,C),meet(B,join(D,meet(B,C))))) = meet(A,meet(B,join(D,meet(B,C)))). [para(4448(a,1),5581(a,1,2,2,2)),rewrite([5(1),5(4),3242(7),5(7)])].
% 5.40/5.71 6020 meet(A,meet(B,join(meet(A,C),meet(B,C)))) = meet(A,meet(B,C)). [para(38(a,1),81(a,2)),rewrite([325(8),5784(7)])].
% 5.40/5.71 6177 join(A,meet(B,join(meet(B,C),meet(C,A)))) = join(A,meet(B,C)). [para(4608(a,1),6(a,2)),rewrite([5(2),6(5)])].
% 5.40/5.71 7333 meet(A,meet(B,join(meet(A,C),meet(C,B)))) = meet(A,meet(C,B)). [para(5(a,1),6020(a,1,2)),rewrite([5(2),5(4),5(6)])].
% 5.40/5.71 7481 join(A,meet(B,join(meet(C,B),meet(A,C)))) = join(A,meet(C,B)). [para(38(a,1),6177(a,1,2,2,2)),rewrite([5(1),4(2),5(1),5(2),5(6),4(7),5(6)])].
% 5.40/5.71 8306 join(A,meet(join(B,C),join(B,meet(A,B)))) = join(A,B). [para(3(a,1),7481(a,1,2,2,1)),rewrite([3(7)])].
% 5.40/5.71 8426 join(A,meet(join(B,C),join(A,B))) = join(A,B). [para(8306(a,1),4495(a,1,2,2)),rewrite([8306(9)])].
% 5.40/5.71 8462 join(A,meet(join(B,C),join(A,C))) = join(A,C). [para(6(a,1),8426(a,1,2,1))].
% 5.40/5.71 8840 meet(A,join(B,meet(A,join(C,B)))) = meet(A,join(C,B)). [para(8462(a,1),7333(a,1,2,2)),rewrite([6(3),6(6),1(7),6(8),4448(10)])].
% 5.40/5.71 10454 meet(A,join(meet(B,join(A,C)),meet(A,join(C,meet(A,B))))) = meet(A,join(C,meet(A,B))). [para(610(a,1),8840(a,1,2,2)),rewrite([610(11)])].
% 5.40/5.71 10455 $F # answer(prove_H6). [resolve(10454,a,14,a)].
% 5.40/5.71
% 5.40/5.71 % SZS output end Refutation
% 5.40/5.71 ============================== end of proof ==========================
% 5.40/5.71
% 5.40/5.71 ============================== STATISTICS ============================
% 5.40/5.71
% 5.40/5.71 Given=207. Generated=66508. Kept=10450. proofs=1.
% 5.40/5.71 Usable=139. Sos=6624. Demods=6790. Limbo=29, Disabled=3667. Hints=0.
% 5.40/5.71 Megabytes=19.70.
% 5.40/5.71 User_CPU=4.66, System_CPU=0.05, Wall_clock=5.
% 5.40/5.71
% 5.40/5.71 ============================== end of statistics =====================
% 5.40/5.71
% 5.40/5.71 ============================== end of search =========================
% 5.40/5.71
% 5.40/5.71 THEOREM PROVED
% 5.40/5.71 % SZS status Unsatisfiable
% 5.40/5.71
% 5.40/5.71 Exiting with 1 proof.
% 5.40/5.71
% 5.40/5.71 Process 16477 exit (max_proofs) Tue Jun 28 18:23:57 2022
% 5.40/5.71 Prover9 interrupted
%------------------------------------------------------------------------------