TSTP Solution File: LAT142-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT142-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n003.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 06:25:46 EDT 2022
% Result : Unsatisfiable 123.02s 123.30s
% Output : Refutation 123.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT142-1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.32 % Computer : n003.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Wed Jun 29 15:28:21 EDT 2022
% 0.12/0.32 % CPUTime :
% 22.39/22.67 ============================== Prover9 ===============================
% 22.39/22.67 Prover9 (32) version 2009-11A, November 2009.
% 22.39/22.67 Process 23311 was started by sandbox on n003.cluster.edu,
% 22.39/22.67 Wed Jun 29 15:28:22 2022
% 22.39/22.67 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_23158_n003.cluster.edu".
% 22.39/22.67 ============================== end of head ===========================
% 22.39/22.67
% 22.39/22.67 ============================== INPUT =================================
% 22.39/22.67
% 22.39/22.67 % Reading from file /tmp/Prover9_23158_n003.cluster.edu
% 22.39/22.67
% 22.39/22.67 set(prolog_style_variables).
% 22.39/22.67 set(auto2).
% 22.39/22.67 % set(auto2) -> set(auto).
% 22.39/22.67 % set(auto) -> set(auto_inference).
% 22.39/22.67 % set(auto) -> set(auto_setup).
% 22.39/22.67 % set(auto_setup) -> set(predicate_elim).
% 22.39/22.67 % set(auto_setup) -> assign(eq_defs, unfold).
% 22.39/22.67 % set(auto) -> set(auto_limits).
% 22.39/22.67 % set(auto_limits) -> assign(max_weight, "100.000").
% 22.39/22.67 % set(auto_limits) -> assign(sos_limit, 20000).
% 22.39/22.67 % set(auto) -> set(auto_denials).
% 22.39/22.67 % set(auto) -> set(auto_process).
% 22.39/22.67 % set(auto2) -> assign(new_constants, 1).
% 22.39/22.67 % set(auto2) -> assign(fold_denial_max, 3).
% 22.39/22.67 % set(auto2) -> assign(max_weight, "200.000").
% 22.39/22.67 % set(auto2) -> assign(max_hours, 1).
% 22.39/22.67 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 22.39/22.67 % set(auto2) -> assign(max_seconds, 0).
% 22.39/22.67 % set(auto2) -> assign(max_minutes, 5).
% 22.39/22.67 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 22.39/22.67 % set(auto2) -> set(sort_initial_sos).
% 22.39/22.67 % set(auto2) -> assign(sos_limit, -1).
% 22.39/22.67 % set(auto2) -> assign(lrs_ticks, 3000).
% 22.39/22.67 % set(auto2) -> assign(max_megs, 400).
% 22.39/22.67 % set(auto2) -> assign(stats, some).
% 22.39/22.67 % set(auto2) -> clear(echo_input).
% 22.39/22.67 % set(auto2) -> set(quiet).
% 22.39/22.67 % set(auto2) -> clear(print_initial_clauses).
% 22.39/22.67 % set(auto2) -> clear(print_given).
% 22.39/22.67 assign(lrs_ticks,-1).
% 22.39/22.67 assign(sos_limit,10000).
% 22.39/22.67 assign(order,kbo).
% 22.39/22.67 set(lex_order_vars).
% 22.39/22.67 clear(print_given).
% 22.39/22.67
% 22.39/22.67 % formulas(sos). % not echoed (10 formulas)
% 22.39/22.67
% 22.39/22.67 ============================== end of input ==========================
% 22.39/22.67
% 22.39/22.67 % From the command line: assign(max_seconds, 300).
% 22.39/22.67
% 22.39/22.67 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 22.39/22.67
% 22.39/22.67 % Formulas that are not ordinary clauses:
% 22.39/22.67
% 22.39/22.67 ============================== end of process non-clausal formulas ===
% 22.39/22.67
% 22.39/22.67 ============================== PROCESS INITIAL CLAUSES ===============
% 22.39/22.67
% 22.39/22.67 ============================== PREDICATE ELIMINATION =================
% 22.39/22.67
% 22.39/22.67 ============================== end predicate elimination =============
% 22.39/22.67
% 22.39/22.67 Auto_denials:
% 22.39/22.67 % copying label prove_H6 to answer in negative clause
% 22.39/22.67
% 22.39/22.67 Term ordering decisions:
% 22.39/22.67 Function symbol KB weights: a=1. b=1. c=1. meet=1. join=1.
% 22.39/22.67
% 22.39/22.67 ============================== end of process initial clauses ========
% 22.39/22.67
% 22.39/22.67 ============================== CLAUSES FOR SEARCH ====================
% 22.39/22.67
% 22.39/22.67 ============================== end of clauses for search =============
% 22.39/22.67
% 22.39/22.67 ============================== SEARCH ================================
% 22.39/22.67
% 22.39/22.67 % Starting search at 0.01 seconds.
% 22.39/22.67
% 22.39/22.67 Low Water (keep): wt=109.000, iters=3504
% 22.39/22.67
% 22.39/22.67 Low Water (keep): wt=101.000, iters=3488
% 22.39/22.67
% 22.39/22.67 Low Water (keep): wt=79.000, iters=3390
% 22.39/22.67
% 22.39/22.67 Low Water (keep): wt=75.000, iters=3353
% 22.39/22.67
% 22.39/22.67 Low Water (keep): wt=71.000, iters=3420
% 22.39/22.67
% 22.39/22.67 Low Water (keep): wt=69.000, iters=3440
% 22.39/22.67
% 22.39/22.67 Low Water (keep): wt=65.000, iters=3422
% 22.39/22.67
% 22.39/22.67 Low Water (keep): wt=61.000, iters=3347
% 22.39/22.67
% 22.39/22.67 Low Water (keep): wt=59.000, iters=3343
% 22.39/22.67
% 22.39/22.67 Low Water (keep): wt=57.000, iters=3341
% 22.39/22.67
% 22.39/22.67 Low Water (keep): wt=53.000, iters=3349
% 22.39/22.67
% 22.39/22.67 Low Water (keep): wt=51.000, iters=3336
% 22.39/22.67
% 22.39/22.67 Low Water (keep): wt=49.000, iters=3391
% 22.39/22.67
% 22.39/22.67 Low Water (keep): wt=47.000, iters=3376
% 22.39/22.67
% 22.39/22.67 Low Water (keep): wt=45.000, iters=3378
% 22.39/22.67
% 22.39/22.67 Low Water (keep): wt=43.000, iters=3388
% 22.39/22.67
% 22.39/22.67 Low Water (keep): wt=41.000, iters=3380
% 22.39/22.67
% 22.39/22.67 Low Water (keep): wt=39.000, iters=3340
% 22.39/22.67
% 22.39/22.67 Low Water (keep): wt=37.000, iters=3353
% 22.39/22.67
% 22.39/22.67 Low Water (keep): wt=35.000, iters=3338
% 22.39/22.67
% 22.39/22.67 Low Water (keep): wt=33.000, iters=3334
% 22.39/22.67
% 22.39/22.67 Low Water (keep): wt=31.000, iters=3335
% 22.39/22.67
% 22.39/22.67 Low Water (keep): wt=29.000, iters=3347
% 22.39/22.67
% 22.39/22.67 Low Water (displace): id=4037, wt=189.000
% 22.39/22.67
% 22.39/22.67 Low Water (displace): id=6403, wt=187.000
% 22.39/22.67
% 22.39/22.67 Low Water (displace): id=14381, wt=27.000
% 22.39/22.67
% 22.39/22.67 Low Water (displace): id=14401, wt=25.000
% 22.39/22.67
% 22.39/22.67 Low Water (displace): id=14411, wt=21.000
% 22.39/22.67
% 22.39/22.67 Low Water (displace): id=16461, wt=19.000
% 123.02/123.30
% 123.02/123.30 Low Water (keep): wt=27.000, iters=3336
% 123.02/123.30
% 123.02/123.30 ============================== PROOF =================================
% 123.02/123.30 % SZS status Unsatisfiable
% 123.02/123.30 % SZS output start Refutation
% 123.02/123.30
% 123.02/123.30 % Proof 1 at 121.40 (+ 0.94) seconds: prove_H6.
% 123.02/123.30 % Length of proof is 62.
% 123.02/123.30 % Level of proof is 20.
% 123.02/123.30 % Maximum clause weight is 95.000.
% 123.02/123.30 % Given clauses 936.
% 123.02/123.30
% 123.02/123.30 1 meet(A,A) = A # label(idempotence_of_meet) # label(axiom). [assumption].
% 123.02/123.30 2 join(A,A) = A # label(idempotence_of_join) # label(axiom). [assumption].
% 123.02/123.30 3 meet(A,join(A,B)) = A # label(absorption1) # label(axiom). [assumption].
% 123.02/123.30 4 join(A,meet(A,B)) = A # label(absorption2) # label(axiom). [assumption].
% 123.02/123.30 5 meet(A,B) = meet(B,A) # label(commutativity_of_meet) # label(axiom). [assumption].
% 123.02/123.30 6 join(A,B) = join(B,A) # label(commutativity_of_join) # label(axiom). [assumption].
% 123.02/123.30 7 meet(meet(A,B),C) = meet(A,meet(B,C)) # label(associativity_of_meet) # label(axiom). [assumption].
% 123.02/123.30 8 meet(A,meet(B,C)) = meet(C,meet(A,B)). [copy(7),rewrite([5(2)]),flip(a)].
% 123.02/123.30 9 join(join(A,B),C) = join(A,join(B,C)) # label(associativity_of_join) # label(axiom). [assumption].
% 123.02/123.30 10 join(A,join(B,C)) = join(C,join(A,B)). [copy(9),rewrite([6(2)]),flip(a)].
% 123.02/123.30 11 join(meet(A,B),meet(A,C)) = meet(A,join(meet(B,join(C,meet(A,B))),meet(C,join(A,B)))) # label(equation_H22) # label(axiom). [assumption].
% 123.02/123.30 12 meet(A,join(meet(B,join(A,C)),meet(C,join(B,meet(A,C))))) = join(meet(A,C),meet(A,B)). [copy(11),rewrite([6(9)]),flip(a)].
% 123.02/123.30 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].
% 123.02/123.30 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)].
% 123.02/123.30 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)])].
% 123.02/123.30 16 meet(A,meet(B,join(A,C))) = meet(A,B). [para(3(a,1),8(a,2,2)),rewrite([5(2),5(4)])].
% 123.02/123.30 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)])].
% 123.02/123.30 18 join(A,join(B,meet(A,C))) = join(A,B). [para(4(a,1),10(a,2,2)),rewrite([6(2),6(4)])].
% 123.02/123.30 19 meet(A,join(join(A,B),meet(B,join(A,B)))) = A. [para(1(a,1),12(a,1,2,1)),rewrite([6(4),10(4),6(3),4(3),6(2),3(8),6(7),4(7)])].
% 123.02/123.30 20 meet(A,join(meet(B,join(A,C)),meet(join(A,C),join(A,B)))) = A. [para(3(a,1),12(a,1,2,2,2,2)),rewrite([17(2),6(4),3(9),4(9)])].
% 123.02/123.30 24 meet(A,join(meet(B,join(A,join(meet(C,join(A,D)),meet(D,join(C,meet(A,D)))))),meet(join(meet(C,join(A,D)),meet(D,join(C,meet(A,D)))),join(B,join(meet(A,D),meet(A,C)))))) = join(join(meet(A,D),meet(A,C)),meet(A,B)). [para(12(a,1),12(a,1,2,2,2,2)),rewrite([12(28)])].
% 123.02/123.30 27 meet(A,join(meet(B,join(A,meet(C,join(A,D)))),meet(meet(C,join(A,D)),join(B,meet(A,C))))) = join(meet(A,C),meet(A,B)). [para(16(a,1),12(a,1,2,2,2,2)),rewrite([16(14)])].
% 123.02/123.30 28 meet(meet(A,join(B,C)),join(meet(B,C),meet(A,B))) = meet(A,B). [para(12(a,1),16(a,1,2)),rewrite([5(4),5(9),16(9),5(7)])].
% 123.02/123.30 29 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)])].
% 123.02/123.30 47 join(A,join(B,join(C,join(D,meet(A,E))))) = join(A,join(B,join(C,D))). [para(29(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)])].
% 123.02/123.30 55 meet(meet(A,B),join(B,meet(A,B))) = meet(A,B). [para(1(a,1),28(a,1,2,1)),rewrite([2(1)])].
% 123.02/123.30 56 meet(meet(A,join(B,C)),join(B,meet(A,B))) = meet(A,B). [para(3(a,1),28(a,1,2,1)),rewrite([17(2)])].
% 123.02/123.30 57 join(meet(A,B),meet(A,join(B,C))) = meet(A,join(B,C)). [para(28(a,1),4(a,1,2)),rewrite([6(4)])].
% 123.02/123.30 59 meet(meet(A,B),join(A,B)) = meet(A,B). [para(4(a,1),28(a,1,2)),rewrite([5(5),15(5),5(5),15(5)])].
% 123.02/123.30 144 meet(meet(A,join(B,C)),join(C,meet(A,C))) = meet(A,C). [para(6(a,1),56(a,1,1,2))].
% 123.02/123.30 154 meet(A,join(B,join(join(A,C),meet(C,join(A,C))))) = A. [para(19(a,1),56(a,1,2,2)),rewrite([6(5),6(11),5(12),8(12,R),16(12),19(11)])].
% 123.02/123.30 208 join(meet(A,B),meet(B,join(A,C))) = meet(B,join(A,C)). [para(5(a,1),57(a,1,1))].
% 123.02/123.30 215 join(meet(A,B),meet(A,join(C,meet(A,B)))) = meet(A,join(C,meet(A,B))). [para(15(a,1),57(a,1,1)),rewrite([6(3),6(7)])].
% 123.02/123.30 224 meet(meet(A,B),join(A,join(B,C))) = meet(A,B). [para(59(a,1),57(a,1,1)),rewrite([6(4),10(4),6(3),10(4,R),6(3),4(6),6(4),10(4),6(3),10(4,R),6(3)]),flip(a)].
% 123.02/123.30 235 meet(meet(A,B),join(A,C)) = meet(A,B). [para(15(a,1),224(a,1,1)),rewrite([6(3),18(4),15(5)])].
% 123.02/123.30 244 meet(meet(A,B),join(B,C)) = meet(A,B). [para(5(a,1),235(a,1,1)),rewrite([5(4)])].
% 123.02/123.30 254 meet(meet(A,B),join(C,meet(A,B))) = meet(A,B). [para(55(a,1),235(a,1,1)),rewrite([6(3),244(8)])].
% 123.02/123.30 338 meet(meet(A,B),join(C,meet(B,join(A,D)))) = meet(A,B). [para(16(a,1),244(a,1,1)),rewrite([6(4),16(8)])].
% 123.02/123.30 408 meet(join(A,B),join(A,meet(C,join(A,B)))) = join(A,meet(C,join(A,B))). [para(19(a,1),27(a,1,2,1,2,2)),rewrite([6(3),17(3),19(8),5(5),3(5),6(4),3(5),6(4),5(7),3(7),5(7)])].
% 123.02/123.30 453 meet(A,meet(B,join(C,A))) = meet(A,B). [para(5(a,1),144(a,1,1)),rewrite([5(2),5(3),4(4),5(3),5(4)])].
% 123.02/123.30 536 meet(A,join(B,meet(join(join(B,C),meet(C,join(B,C))),join(B,meet(A,join(join(B,C),meet(C,join(B,C)))))))) = join(meet(A,B),meet(A,join(join(B,C),meet(C,join(B,C))))). [para(154(a,1),12(a,1,2,1)),rewrite([6(20)])].
% 123.02/123.30 543 meet(A,join(meet(B,join(A,join(C,meet(join(join(C,D),meet(D,join(C,D))),join(C,meet(A,join(join(C,D),meet(D,join(C,D))))))))),meet(join(C,meet(join(join(C,D),meet(D,join(C,D))),join(C,meet(A,join(join(C,D),meet(D,join(C,D))))))),join(B,join(meet(A,C),meet(A,join(join(C,D),meet(D,join(C,D))))))))) = join(join(meet(A,C),meet(A,join(join(C,D),meet(D,join(C,D))))),meet(A,B)). [para(154(a,1),24(a,1,2,1,2,2,1)),rewrite([154(20),6(33),6(44)])].
% 123.02/123.30 560 join(A,meet(B,A)) = A. [para(20(a,1),208(a,1,2)),rewrite([5(3),16(3),5(1),6(2),6(6),208(8),453(6),3(4)])].
% 123.02/123.30 581 meet(A,join(meet(B,join(A,C)),meet(join(C,meet(A,join(C,D))),join(B,meet(A,join(C,D)))))) = join(meet(A,join(C,D)),meet(A,B)). [back_rewrite(543),rewrite([560(4),560(5),408(5),17(4),18(4),560(6),560(7),408(7),17(6),560(10),57(9),560(16),57(15)])].
% 123.02/123.30 583 meet(A,join(B,meet(A,join(B,C)))) = meet(A,join(B,C)). [back_rewrite(536),rewrite([560(4),560(5),408(5),17(4),560(9),57(8)])].
% 123.02/123.30 617 join(join(A,B),meet(A,C)) = join(A,B). [para(235(a,1),560(a,1,2))].
% 123.02/123.30 640 join(join(A,B),meet(B,C)) = join(A,B). [para(6(a,1),617(a,1,1)),rewrite([6(4)])].
% 123.02/123.30 667 join(join(A,B),meet(C,join(B,meet(A,D)))) = join(A,B). [para(18(a,1),640(a,1,1)),rewrite([5(4),18(8)])].
% 123.02/123.30 839 meet(A,join(B,meet(join(A,C),join(A,D)))) = A. [para(3(a,1),338(a,1,1)),rewrite([3(7)])].
% 123.02/123.30 882 meet(A,join(B,join(C,meet(join(A,D),join(A,E))))) = A. [para(839(a,1),28(a,1,2,2)),rewrite([6(5),10(5,R),6(4),5(11),6(12),235(13),839(11)])].
% 123.02/123.30 1142 join(join(A,B),meet(C,join(A,meet(B,D)))) = join(A,B). [para(667(a,1),6(a,2)),rewrite([6(4),6(5),6(6)])].
% 123.02/123.30 1271 join(A,join(meet(B,C),meet(B,A))) = join(A,meet(B,C)). [para(28(a,1),1142(a,1,2)),rewrite([6(2),5(3),6(4),10(4,R),6(6)])].
% 123.02/123.30 1331 meet(A,join(join(A,B),meet(C,join(A,D)))) = A. [para(1271(a,1),882(a,1,2)),rewrite([5(3)])].
% 123.02/123.30 1440 meet(A,join(join(A,B),meet(C,D))) = A. [para(254(a,1),1331(a,1,2,2))].
% 123.02/123.30 1476 join(A,join(join(A,B),meet(C,D))) = join(join(A,B),meet(C,D)). [para(1440(a,1),560(a,1,2)),rewrite([6(4)])].
% 123.02/123.30 1551 join(A,join(join(B,C),meet(D,E))) = join(A,join(B,join(C,meet(D,E)))). [para(235(a,1),47(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)].
% 123.02/123.30 1577 join(join(A,B),meet(C,D)) = join(A,join(B,meet(C,D))). [back_rewrite(1476),rewrite([1551(4),17(4)]),flip(a)].
% 123.02/123.30 1938 join(meet(A,B),join(meet(A,join(B,C)),meet(D,E))) = join(meet(A,join(B,C)),meet(D,E)). [para(57(a,1),1577(a,1,1)),flip(a)].
% 123.02/123.30 13862 meet(A,join(meet(A,B),join(meet(B,join(A,C)),meet(A,join(C,D))))) = join(meet(A,join(C,D)),meet(A,B)). [para(581(a,1),583(a,1,2,2)),rewrite([10(7),581(19)])].
% 123.02/123.30 26524 join(meet(A,B),join(meet(B,join(A,C)),meet(D,E))) = join(meet(B,join(A,C)),meet(D,E)). [para(5(a,1),1938(a,1,1))].
% 123.02/123.30 26557 meet(A,join(meet(B,join(A,C)),meet(A,join(C,D)))) = join(meet(A,join(C,D)),meet(A,B)). [back_rewrite(13862),rewrite([26524(7)])].
% 123.02/123.30 26559 $F # answer(prove_H6). [back_rewrite(14),rewrite([26557(15),6(11),215(11)]),xx(a)].
% 123.02/123.30
% 123.02/123.30 % SZS output end Refutation
% 123.02/123.30 ============================== end of proof ==========================
% 123.02/123.30
% 123.02/123.30 ============================== STATISTICS ============================
% 123.02/123.30
% 123.02/123.30 Given=936. Generated=1806187. Kept=26554. proofs=1.
% 123.02/123.30 Usable=841. Sos=10000. Demods=10815. Limbo=2, Disabled=15721. Hints=0.
% 123.02/123.30 Megabytes=31.19.
% 123.02/123.30 User_CPU=121.40, System_CPU=0.94, Wall_clock=122.
% 123.02/123.30
% 123.02/123.30 ============================== end of statistics =====================
% 123.02/123.30
% 123.02/123.30 ============================== end of search =========================
% 123.02/123.30
% 123.02/123.30 THEOREM PROVED
% 123.02/123.30 % SZS status Unsatisfiable
% 123.02/123.30
% 123.02/123.30 Exiting with 1 proof.
% 123.02/123.30
% 123.02/123.30 Process 23311 exit (max_proofs) Wed Jun 29 15:30:24 2022
% 123.02/123.30 Prover9 interrupted
%------------------------------------------------------------------------------