TSTP Solution File: LAT156-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT156-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n029.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 06:25:50 EDT 2022
% Result : Unsatisfiable 6.39s 6.68s
% Output : Refutation 6.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT156-1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 29 05:41:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 6.39/6.68 ============================== Prover9 ===============================
% 6.39/6.68 Prover9 (32) version 2009-11A, November 2009.
% 6.39/6.68 Process 9758 was started by sandbox on n029.cluster.edu,
% 6.39/6.68 Wed Jun 29 05:41:38 2022
% 6.39/6.68 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_9605_n029.cluster.edu".
% 6.39/6.68 ============================== end of head ===========================
% 6.39/6.68
% 6.39/6.68 ============================== INPUT =================================
% 6.39/6.68
% 6.39/6.68 % Reading from file /tmp/Prover9_9605_n029.cluster.edu
% 6.39/6.68
% 6.39/6.68 set(prolog_style_variables).
% 6.39/6.68 set(auto2).
% 6.39/6.68 % set(auto2) -> set(auto).
% 6.39/6.68 % set(auto) -> set(auto_inference).
% 6.39/6.68 % set(auto) -> set(auto_setup).
% 6.39/6.68 % set(auto_setup) -> set(predicate_elim).
% 6.39/6.68 % set(auto_setup) -> assign(eq_defs, unfold).
% 6.39/6.68 % set(auto) -> set(auto_limits).
% 6.39/6.68 % set(auto_limits) -> assign(max_weight, "100.000").
% 6.39/6.68 % set(auto_limits) -> assign(sos_limit, 20000).
% 6.39/6.68 % set(auto) -> set(auto_denials).
% 6.39/6.68 % set(auto) -> set(auto_process).
% 6.39/6.68 % set(auto2) -> assign(new_constants, 1).
% 6.39/6.68 % set(auto2) -> assign(fold_denial_max, 3).
% 6.39/6.68 % set(auto2) -> assign(max_weight, "200.000").
% 6.39/6.68 % set(auto2) -> assign(max_hours, 1).
% 6.39/6.68 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 6.39/6.68 % set(auto2) -> assign(max_seconds, 0).
% 6.39/6.68 % set(auto2) -> assign(max_minutes, 5).
% 6.39/6.68 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 6.39/6.68 % set(auto2) -> set(sort_initial_sos).
% 6.39/6.68 % set(auto2) -> assign(sos_limit, -1).
% 6.39/6.68 % set(auto2) -> assign(lrs_ticks, 3000).
% 6.39/6.68 % set(auto2) -> assign(max_megs, 400).
% 6.39/6.68 % set(auto2) -> assign(stats, some).
% 6.39/6.68 % set(auto2) -> clear(echo_input).
% 6.39/6.68 % set(auto2) -> set(quiet).
% 6.39/6.68 % set(auto2) -> clear(print_initial_clauses).
% 6.39/6.68 % set(auto2) -> clear(print_given).
% 6.39/6.68 assign(lrs_ticks,-1).
% 6.39/6.68 assign(sos_limit,10000).
% 6.39/6.68 assign(order,kbo).
% 6.39/6.68 set(lex_order_vars).
% 6.39/6.68 clear(print_given).
% 6.39/6.68
% 6.39/6.68 % formulas(sos). % not echoed (10 formulas)
% 6.39/6.68
% 6.39/6.68 ============================== end of input ==========================
% 6.39/6.68
% 6.39/6.68 % From the command line: assign(max_seconds, 300).
% 6.39/6.68
% 6.39/6.68 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 6.39/6.68
% 6.39/6.68 % Formulas that are not ordinary clauses:
% 6.39/6.68
% 6.39/6.68 ============================== end of process non-clausal formulas ===
% 6.39/6.68
% 6.39/6.68 ============================== PROCESS INITIAL CLAUSES ===============
% 6.39/6.68
% 6.39/6.68 ============================== PREDICATE ELIMINATION =================
% 6.39/6.68
% 6.39/6.68 ============================== end predicate elimination =============
% 6.39/6.68
% 6.39/6.68 Auto_denials:
% 6.39/6.68 % copying label prove_H6 to answer in negative clause
% 6.39/6.68
% 6.39/6.68 Term ordering decisions:
% 6.39/6.68 Function symbol KB weights: a=1. b=1. c=1. join=1. meet=1.
% 6.39/6.68
% 6.39/6.68 ============================== end of process initial clauses ========
% 6.39/6.68
% 6.39/6.68 ============================== CLAUSES FOR SEARCH ====================
% 6.39/6.68
% 6.39/6.68 ============================== end of clauses for search =============
% 6.39/6.68
% 6.39/6.68 ============================== SEARCH ================================
% 6.39/6.68
% 6.39/6.68 % Starting search at 0.01 seconds.
% 6.39/6.68
% 6.39/6.68 Low Water (keep): wt=79.000, iters=3342
% 6.39/6.68
% 6.39/6.68 Low Water (keep): wt=67.000, iters=3392
% 6.39/6.68
% 6.39/6.68 Low Water (keep): wt=65.000, iters=3378
% 6.39/6.68
% 6.39/6.68 Low Water (keep): wt=59.000, iters=3367
% 6.39/6.68
% 6.39/6.68 Low Water (keep): wt=57.000, iters=3356
% 6.39/6.68
% 6.39/6.68 Low Water (keep): wt=55.000, iters=3385
% 6.39/6.68
% 6.39/6.68 Low Water (keep): wt=53.000, iters=3372
% 6.39/6.68
% 6.39/6.68 Low Water (keep): wt=51.000, iters=3401
% 6.39/6.68
% 6.39/6.68 Low Water (keep): wt=49.000, iters=3363
% 6.39/6.68
% 6.39/6.68 Low Water (keep): wt=47.000, iters=3342
% 6.39/6.68
% 6.39/6.68 Low Water (keep): wt=45.000, iters=3376
% 6.39/6.68
% 6.39/6.68 Low Water (keep): wt=43.000, iters=3356
% 6.39/6.68
% 6.39/6.68 Low Water (keep): wt=41.000, iters=3344
% 6.39/6.68
% 6.39/6.68 ============================== PROOF =================================
% 6.39/6.68 % SZS status Unsatisfiable
% 6.39/6.68 % SZS output start Refutation
% 6.39/6.68
% 6.39/6.68 % Proof 1 at 5.65 (+ 0.05) seconds: prove_H6.
% 6.39/6.68 % Length of proof is 79.
% 6.39/6.68 % Level of proof is 26.
% 6.39/6.68 % Maximum clause weight is 49.000.
% 6.39/6.68 % Given clauses 235.
% 6.39/6.68
% 6.39/6.68 1 meet(A,A) = A # label(idempotence_of_meet) # label(axiom). [assumption].
% 6.39/6.68 2 join(A,A) = A # label(idempotence_of_join) # label(axiom). [assumption].
% 6.39/6.68 3 meet(A,join(A,B)) = A # label(absorption1) # label(axiom). [assumption].
% 6.39/6.68 4 join(A,meet(A,B)) = A # label(absorption2) # label(axiom). [assumption].
% 6.39/6.68 5 meet(A,B) = meet(B,A) # label(commutativity_of_meet) # label(axiom). [assumption].
% 6.39/6.68 6 join(A,B) = join(B,A) # label(commutativity_of_join) # label(axiom). [assumption].
% 6.39/6.68 7 meet(meet(A,B),C) = meet(A,meet(B,C)) # label(associativity_of_meet) # label(axiom). [assumption].
% 6.39/6.68 8 meet(A,meet(B,C)) = meet(C,meet(A,B)). [copy(7),rewrite([5(2)]),flip(a)].
% 6.39/6.68 9 join(join(A,B),C) = join(A,join(B,C)) # label(associativity_of_join) # label(axiom). [assumption].
% 6.39/6.68 10 join(A,join(B,C)) = join(C,join(A,B)). [copy(9),rewrite([6(2)]),flip(a)].
% 6.39/6.68 11 meet(A,join(B,meet(C,join(A,D)))) = meet(A,join(B,join(meet(A,C),meet(C,join(B,D))))) # label(equation_H49) # label(axiom). [assumption].
% 6.39/6.68 12 meet(A,join(B,join(meet(A,C),meet(C,join(B,D))))) = meet(A,join(B,meet(C,join(A,D)))). [copy(11),flip(a)].
% 6.39/6.68 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].
% 6.39/6.68 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)].
% 6.39/6.68 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)])].
% 6.39/6.68 16 meet(A,meet(B,join(A,C))) = meet(A,B). [para(3(a,1),8(a,2,2)),rewrite([5(2),5(4)])].
% 6.39/6.68 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)])].
% 6.39/6.68 18 join(A,join(B,meet(A,C))) = join(A,B). [para(4(a,1),10(a,2,2)),rewrite([6(2),6(4)])].
% 6.39/6.68 20 meet(A,join(B,meet(C,join(A,B)))) = meet(A,join(B,meet(A,C))). [para(2(a,1),12(a,1,2,2,2,2)),rewrite([5(2),18(4)]),flip(a)].
% 6.39/6.68 23 meet(A,join(B,meet(join(A,C),join(A,D)))) = A. [para(3(a,1),12(a,1,2,2,1)),rewrite([10(5,R),6(4),3(6)]),flip(a)].
% 6.39/6.68 24 meet(A,join(B,meet(A,B))) = meet(A,B). [para(3(a,1),12(a,1,2,2,2)),rewrite([6(2),17(3),4(6)])].
% 6.39/6.68 25 meet(A,join(B,meet(C,join(A,meet(B,D))))) = meet(A,join(B,meet(A,C))). [para(4(a,1),12(a,1,2,2,2,2)),rewrite([5(2),18(4)]),flip(a)].
% 6.39/6.68 28 meet(A,join(B,join(meet(A,join(C,meet(D,join(A,E)))),meet(join(C,join(meet(A,D),meet(D,join(C,E)))),join(B,F))))) = meet(A,join(B,meet(join(C,join(meet(A,D),meet(D,join(C,E)))),join(A,F)))). [para(12(a,1),12(a,1,2,2,1))].
% 6.39/6.68 29 meet(A,join(B,meet(C,join(A,join(meet(C,D),meet(D,join(B,E))))))) = meet(A,join(B,meet(C,join(A,meet(D,join(C,E)))))). [para(12(a,1),12(a,1,2,2,2)),rewrite([12(8)]),flip(a)].
% 6.39/6.68 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)])].
% 6.39/6.68 39 meet(A,join(B,join(meet(A,C),meet(join(C,meet(A,C)),join(B,D))))) = meet(A,join(B,meet(join(C,meet(A,C)),join(A,D)))). [para(24(a,1),12(a,1,2,2,1))].
% 6.39/6.68 41 meet(A,join(meet(A,B),meet(B,join(A,C)))) = meet(A,B). [para(16(a,1),24(a,1,2,2)),rewrite([6(4),16(8)])].
% 6.39/6.68 53 meet(A,meet(B,meet(meet(A,B),join(C,meet(A,B))))) = meet(A,B). [para(1(a,1),34(a,2)),rewrite([6(3),8(6,R),5(5),8(5,R),5(4)])].
% 6.39/6.68 72 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))].
% 6.39/6.68 78 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)])].
% 6.39/6.68 182 meet(meet(A,B),join(C,meet(A,B))) = meet(A,B). [para(53(a,1),8(a,1)),rewrite([5(7),15(7)]),flip(a)].
% 6.39/6.68 190 meet(A,join(join(B,C),meet(A,B))) = meet(A,join(B,C)). [para(23(a,1),25(a,1,2,2)),rewrite([6(2),17(2)]),flip(a)].
% 6.39/6.68 204 meet(A,join(B,meet(A,meet(B,C)))) = meet(A,B). [para(182(a,1),25(a,1,2,2)),rewrite([4(2)]),flip(a)].
% 6.39/6.68 205 meet(A,join(join(A,B),meet(A,C))) = A. [para(3(a,1),204(a,2)),rewrite([5(3),16(4)])].
% 6.39/6.68 211 meet(A,join(meet(B,join(A,C)),meet(A,meet(B,D)))) = meet(A,B). [para(16(a,1),204(a,2)),rewrite([5(5),8(5,R),5(4),34(6)])].
% 6.39/6.68 236 meet(A,join(join(A,B),meet(C,join(A,B)))) = A. [back_rewrite(72),rewrite([205(9)])].
% 6.39/6.68 237 meet(A,meet(B,join(join(A,C),meet(A,D)))) = meet(A,B). [para(205(a,1),8(a,2,2)),rewrite([5(4),5(6)])].
% 6.39/6.68 242 meet(A,join(join(join(A,B),meet(A,C)),meet(A,D))) = A. [para(205(a,1),204(a,2)),rewrite([5(7),237(8)])].
% 6.39/6.68 295 meet(join(A,B),join(C,meet(join(A,B),join(A,join(B,D))))) = join(A,B). [para(190(a,1),23(a,1,2,2)),rewrite([6(3),10(3),6(2),10(3,R),6(2),5(5)])].
% 6.39/6.68 395 join(join(A,B),meet(A,C)) = join(A,B). [para(242(a,1),236(a,1,2,2)),rewrite([6(9),18(9),18(7),17(5),5(5),3(5)]),flip(a)].
% 6.39/6.68 396 join(join(A,B),meet(B,C)) = join(A,B). [para(6(a,1),395(a,1,1)),rewrite([6(4)])].
% 6.39/6.68 401 join(join(A,B),join(meet(A,C),meet(D,join(A,B)))) = join(A,B). [para(395(a,1),18(a,2)),rewrite([5(4)])].
% 6.39/6.68 404 meet(meet(A,B),join(A,C)) = meet(A,B). [para(395(a,1),182(a,1,2))].
% 6.39/6.68 406 join(join(A,B),meet(C,join(A,B))) = join(A,B). [para(395(a,1),395(a,1,1)),rewrite([5(3),395(7)])].
% 6.39/6.68 414 join(join(A,B),join(meet(B,C),meet(D,join(A,B)))) = join(A,B). [para(396(a,1),18(a,2)),rewrite([5(4)])].
% 6.39/6.68 427 meet(meet(A,B),meet(join(A,C),join(D,meet(A,B)))) = meet(A,B). [para(404(a,1),16(a,2)),rewrite([6(4)])].
% 6.39/6.68 434 meet(join(A,B),join(A,join(B,C))) = join(A,B). [para(2(a,1),28(a,1,2,2,2,1,2)),rewrite([6(5),10(5,R),2(4),1(5),17(4),1(4),1(5),17(4),4(6),10(3),6(2),10(3,R),6(2),1(8),1(9),2(8),17(7),6(8),10(8),6(7),10(8,R),6(7),295(11)])].
% 6.39/6.68 594 meet(A,join(B,meet(C,join(A,join(C,meet(join(C,D),join(B,E))))))) = meet(A,join(B,C)). [para(3(a,1),29(a,1,2,2,2,2,1)),rewrite([23(13)])].
% 6.39/6.68 674 meet(A,join(B,meet(C,join(A,join(C,D))))) = meet(A,join(B,C)). [para(434(a,1),29(a,2,2,2,2,2)),rewrite([3(2),594(9)]),flip(a)].
% 6.39/6.68 1445 meet(A,join(meet(A,meet(B,C)),meet(B,join(A,D)))) = meet(A,B). [para(6(a,1),211(a,1,2))].
% 6.39/6.68 1602 join(meet(A,B),join(meet(B,join(A,C)),meet(A,meet(B,D)))) = join(meet(A,B),meet(B,join(A,C))). [para(41(a,1),401(a,1,2,2)),rewrite([5(6),8(6),5(5),8(6,R),5(5),6(8),10(9,R),10(8,R),17(9)])].
% 6.39/6.68 1611 join(join(A,B),join(meet(A,C),meet(A,D))) = join(A,B). [para(404(a,1),401(a,1,2,2))].
% 6.39/6.68 1633 join(A,join(meet(B,C),meet(B,meet(C,D)))) = join(A,meet(B,C)). [para(182(a,1),1611(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)])].
% 6.39/6.68 2083 meet(A,join(join(A,B),meet(C,D))) = A. [para(25(a,1),427(a,1,2)),rewrite([5(7),3(7),6(6),5(8),8(8,R),8(7),5(6),3(6),16(4),3(2)]),flip(a)].
% 6.39/6.68 2116 join(join(A,B),meet(C,D)) = join(A,join(B,meet(C,D))). [para(2083(a,1),414(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),1633(5),17(4)]),flip(a)].
% 6.39/6.68 2396 join(A,join(B,meet(C,join(A,B)))) = join(A,B). [back_rewrite(406),rewrite([2116(4)])].
% 6.39/6.68 3167 meet(A,join(B,meet(C,join(A,C)))) = meet(A,join(B,C)). [para(2(a,1),674(a,1,2,2,2,2))].
% 6.39/6.68 3431 meet(join(A,B),join(A,meet(B,join(A,B)))) = join(A,B). [para(1(a,1),3167(a,2)),rewrite([6(3),10(3,R),2(2)])].
% 6.39/6.68 3494 join(A,meet(B,join(A,B))) = join(A,B). [para(3431(a,1),2396(a,1,2,2)),rewrite([6(4),2116(4),4(3),17(2)]),flip(a)].
% 6.39/6.68 3514 join(A,meet(join(A,B),join(B,meet(C,join(A,B))))) = join(A,B). [para(2396(a,1),3494(a,1,2,2)),rewrite([5(5),2396(10)])].
% 6.39/6.68 4299 join(meet(A,meet(B,C)),meet(B,join(A,D))) = join(meet(A,B),meet(B,join(A,D))). [para(1445(a,1),2396(a,1,2,2)),rewrite([6(6),10(7,R),1602(7)]),flip(a)].
% 6.39/6.68 6035 meet(A,join(meet(B,C),meet(A,B))) = meet(A,B). [para(15(a,1),78(a,1,2,2,2,2)),rewrite([182(7),6(5),20(6),4299(10),41(10)])].
% 6.39/6.68 6264 meet(A,join(meet(B,C),meet(B,A))) = meet(B,A). [para(6035(a,1),5(a,2)),rewrite([5(2),5(4),5(5)])].
% 6.39/6.68 6265 meet(A,join(meet(B,C),meet(A,C))) = meet(A,C). [para(5(a,1),6035(a,1,2,1))].
% 6.39/6.68 6266 meet(A,join(meet(A,B),meet(B,C))) = meet(A,B). [para(6(a,1),6035(a,1,2))].
% 6.39/6.68 6276 meet(A,join(meet(A,B),meet(C,join(B,meet(A,B))))) = meet(A,B). [para(24(a,1),6035(a,1,2,2)),rewrite([5(3),6(5),24(9)])].
% 6.39/6.68 6473 meet(A,join(meet(B,C),meet(C,A))) = meet(C,A). [para(6265(a,1),5(a,2)),rewrite([5(2),5(4),5(5)])].
% 6.39/6.68 6482 meet(A,join(meet(A,B),join(meet(C,B),meet(A,B)))) = meet(A,B). [para(6265(a,1),24(a,1,2,2)),rewrite([6(5),6265(10)])].
% 6.39/6.68 6988 meet(A,join(meet(B,join(C,meet(A,C))),meet(join(C,meet(A,C)),join(A,meet(B,D))))) = meet(A,C). [para(6266(a,1),39(a,1,2,2,2)),rewrite([5(3),5(7),10(9,R),2(8),6276(6),5(4)]),flip(a)].
% 6.39/6.68 7042 join(A,meet(B,A)) = A. [para(3494(a,1),6473(a,1,2)),rewrite([6(2),6(4),1(5),6(4),3(5)])].
% 6.39/6.68 7048 meet(A,join(meet(B,C),meet(C,join(A,meet(B,D))))) = meet(A,C). [back_rewrite(6988),rewrite([7042(2),7042(3)])].
% 6.39/6.68 7316 join(meet(A,B),meet(A,join(B,C))) = meet(A,join(B,C)). [para(16(a,1),7042(a,1,2)),rewrite([5(3),6(4)])].
% 6.39/6.68 8048 join(meet(A,B),meet(B,join(A,C))) = meet(B,join(A,C)). [para(5(a,1),7316(a,1,1))].
% 6.39/6.68 9191 join(A,meet(B,join(A,meet(B,C)))) = join(A,meet(B,C)). [para(6264(a,1),3514(a,1,2))].
% 6.39/6.68 11972 meet(A,join(meet(B,C),meet(C,join(A,B)))) = meet(A,C). [para(1(a,1),7048(a,1,2,2,2,2))].
% 6.39/6.68 12158 meet(A,join(B,A)) = A. [para(11972(a,1),9191(a,1,2)),rewrite([1(2),6(2),7042(2),6(2),8048(4)]),flip(a)].
% 6.39/6.68 12216 meet(A,join(B,meet(A,join(C,B)))) = meet(A,join(C,B)). [para(12158(a,1),6482(a,1,2,2,1)),rewrite([10(6,R),2(5)])].
% 6.39/6.68 12305 meet(A,join(meet(B,join(A,C)),meet(A,join(C,meet(A,B))))) = meet(A,join(C,meet(A,B))). [para(20(a,1),12216(a,1,2,2)),rewrite([20(11)])].
% 6.39/6.68 12306 $F # answer(prove_H6). [resolve(12305,a,14,a)].
% 6.39/6.68
% 6.39/6.68 % SZS output end Refutation
% 6.39/6.68 ============================== end of proof ==========================
% 6.39/6.68
% 6.39/6.68 ============================== STATISTICS ============================
% 6.39/6.68
% 6.39/6.68 Given=235. Generated=88385. Kept=12301. proofs=1.
% 6.39/6.68 Usable=157. Sos=7165. Demods=7299. Limbo=3, Disabled=4985. Hints=0.
% 6.39/6.68 Megabytes=20.40.
% 6.39/6.68 User_CPU=5.65, System_CPU=0.05, Wall_clock=5.
% 6.39/6.68
% 6.39/6.68 ============================== end of statistics =====================
% 6.39/6.68
% 6.39/6.68 ============================== end of search =========================
% 6.39/6.68
% 6.39/6.68 THEOREM PROVED
% 6.39/6.68 % SZS status Unsatisfiable
% 6.39/6.68
% 6.39/6.68 Exiting with 1 proof.
% 6.39/6.68
% 6.39/6.68 Process 9758 exit (max_proofs) Wed Jun 29 05:41:43 2022
% 6.39/6.68 Prover9 interrupted
%------------------------------------------------------------------------------