TSTP Solution File: REL021+2 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : REL021+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n023.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 : Mon Jul 18 19:53:51 EDT 2022

% Result   : Timeout 300.02s 300.30s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : REL021+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Fri Jul  8 15:20:41 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.46/1.03  ============================== Prover9 ===============================
% 0.46/1.03  Prover9 (32) version 2009-11A, November 2009.
% 0.46/1.03  Process 32430 was started by sandbox on n023.cluster.edu,
% 0.46/1.03  Fri Jul  8 15:20:41 2022
% 0.46/1.03  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_32277_n023.cluster.edu".
% 0.46/1.03  ============================== end of head ===========================
% 0.46/1.03  
% 0.46/1.03  ============================== INPUT =================================
% 0.46/1.03  
% 0.46/1.03  % Reading from file /tmp/Prover9_32277_n023.cluster.edu
% 0.46/1.03  
% 0.46/1.03  set(prolog_style_variables).
% 0.46/1.03  set(auto2).
% 0.46/1.03      % set(auto2) -> set(auto).
% 0.46/1.03      % set(auto) -> set(auto_inference).
% 0.46/1.03      % set(auto) -> set(auto_setup).
% 0.46/1.03      % set(auto_setup) -> set(predicate_elim).
% 0.46/1.03      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.46/1.03      % set(auto) -> set(auto_limits).
% 0.46/1.03      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.46/1.03      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.46/1.03      % set(auto) -> set(auto_denials).
% 0.46/1.03      % set(auto) -> set(auto_process).
% 0.46/1.03      % set(auto2) -> assign(new_constants, 1).
% 0.46/1.03      % set(auto2) -> assign(fold_denial_max, 3).
% 0.46/1.03      % set(auto2) -> assign(max_weight, "200.000").
% 0.46/1.03      % set(auto2) -> assign(max_hours, 1).
% 0.46/1.03      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.46/1.03      % set(auto2) -> assign(max_seconds, 0).
% 0.46/1.03      % set(auto2) -> assign(max_minutes, 5).
% 0.46/1.03      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.46/1.03      % set(auto2) -> set(sort_initial_sos).
% 0.46/1.03      % set(auto2) -> assign(sos_limit, -1).
% 0.46/1.03      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.46/1.03      % set(auto2) -> assign(max_megs, 400).
% 0.46/1.03      % set(auto2) -> assign(stats, some).
% 0.46/1.03      % set(auto2) -> clear(echo_input).
% 0.46/1.03      % set(auto2) -> set(quiet).
% 0.46/1.03      % set(auto2) -> clear(print_initial_clauses).
% 0.46/1.03      % set(auto2) -> clear(print_given).
% 0.46/1.03  assign(lrs_ticks,-1).
% 0.46/1.03  assign(sos_limit,10000).
% 0.46/1.03  assign(order,kbo).
% 0.46/1.03  set(lex_order_vars).
% 0.46/1.03  clear(print_given).
% 0.46/1.03  
% 0.46/1.03  % formulas(sos).  % not echoed (17 formulas)
% 0.46/1.03  
% 0.46/1.03  ============================== end of input ==========================
% 0.46/1.03  
% 0.46/1.03  % From the command line: assign(max_seconds, 300).
% 0.46/1.03  
% 0.46/1.03  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.46/1.03  
% 0.46/1.03  % Formulas that are not ordinary clauses:
% 0.46/1.03  1 (all X0 all X1 join(X0,X1) = join(X1,X0)) # label(maddux1_join_commutativity) # label(axiom) # label(non_clause).  [assumption].
% 0.46/1.03  2 (all X0 all X1 all X2 join(X0,join(X1,X2)) = join(join(X0,X1),X2)) # label(maddux2_join_associativity) # label(axiom) # label(non_clause).  [assumption].
% 0.46/1.03  3 (all X0 all X1 X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))) # label(maddux3_a_kind_of_de_Morgan) # label(axiom) # label(non_clause).  [assumption].
% 0.46/1.03  4 (all X0 all X1 meet(X0,X1) = complement(join(complement(X0),complement(X1)))) # label(maddux4_definiton_of_meet) # label(axiom) # label(non_clause).  [assumption].
% 0.46/1.03  5 (all X0 all X1 all X2 composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2)) # label(composition_associativity) # label(axiom) # label(non_clause).  [assumption].
% 0.46/1.03  6 (all X0 composition(X0,one) = X0) # label(composition_identity) # label(axiom) # label(non_clause).  [assumption].
% 0.46/1.03  7 (all X0 all X1 all X2 composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2))) # label(composition_distributivity) # label(axiom) # label(non_clause).  [assumption].
% 0.46/1.03  8 (all X0 converse(converse(X0)) = X0) # label(converse_idempotence) # label(axiom) # label(non_clause).  [assumption].
% 0.46/1.03  9 (all X0 all X1 converse(join(X0,X1)) = join(converse(X0),converse(X1))) # label(converse_additivity) # label(axiom) # label(non_clause).  [assumption].
% 0.46/1.03  10 (all X0 all X1 converse(composition(X0,X1)) = composition(converse(X1),converse(X0))) # label(converse_multiplicativity) # label(axiom) # label(non_clause).  [assumption].
% 0.46/1.03  11 (all X0 all X1 join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1)) # label(converse_cancellativity) # label(axiom) # label(non_clause).  [assumption].
% 0.46/1.03  12 (all X0 top = join(X0,complement(X0))) # label(def_top) # label(axiom) # label(non_clause).  [assumption].
% 0.46/1.03  13 (all X0 zero = meet(X0,complement(X0))) # label(def_zero) # label(axiom) # label(non_clause).  [assumption].
% 9.73/10.01  14 (all X0 all X1 all X2 join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))) # label(dedekind_law) # label(axiom) # label(non_clause).  [assumption].
% 9.73/10.01  15 (all X0 all X1 all X2 join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) # label(modular_law_1) # label(axiom) # label(non_clause).  [assumption].
% 9.73/10.01  16 (all X0 all X1 all X2 join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)) = meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)) # label(modular_law_2) # label(axiom) # label(non_clause).  [assumption].
% 9.73/10.01  17 -(all X0 all X1 (composition(X0,top) = X0 -> join(composition(meet(X0,one),X1),meet(X0,X1)) = meet(X0,X1))) # label(goals) # label(negated_conjecture) # label(non_clause).  [assumption].
% 9.73/10.01  
% 9.73/10.01  ============================== end of process non-clausal formulas ===
% 9.73/10.01  
% 9.73/10.01  ============================== PROCESS INITIAL CLAUSES ===============
% 9.73/10.01  
% 9.73/10.01  ============================== PREDICATE ELIMINATION =================
% 9.73/10.01  
% 9.73/10.01  ============================== end predicate elimination =============
% 9.73/10.01  
% 9.73/10.01  Auto_denials:
% 9.73/10.01    % copying label goals to answer in negative clause
% 9.73/10.01  
% 9.73/10.01  Term ordering decisions:
% 9.73/10.01  Function symbol KB weights:  top=1. one=1. zero=1. c1=1. c2=1. composition=1. join=1. meet=1. converse=1. complement=1.
% 9.73/10.01  
% 9.73/10.01  ============================== end of process initial clauses ========
% 9.73/10.01  
% 9.73/10.01  ============================== CLAUSES FOR SEARCH ====================
% 9.73/10.01  
% 9.73/10.01  ============================== end of clauses for search =============
% 9.73/10.01  
% 9.73/10.01  ============================== SEARCH ================================
% 9.73/10.01  
% 9.73/10.01  % Starting search at 0.02 seconds.
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=96.000, iters=3379
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=80.000, iters=3346
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=71.000, iters=3419
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=69.000, iters=3338
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=66.000, iters=3370
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=64.000, iters=3337
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=63.000, iters=3374
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=62.000, iters=3418
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=61.000, iters=3403
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=60.000, iters=3363
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=59.000, iters=3365
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=58.000, iters=3366
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=57.000, iters=3334
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=56.000, iters=3404
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=55.000, iters=3345
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=54.000, iters=3358
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=53.000, iters=3350
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=52.000, iters=3370
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=51.000, iters=3385
% 9.73/10.01  
% 9.73/10.01  NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 22 (0.00 of 2.52 sec).
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=49.000, iters=3366
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=48.000, iters=3357
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=47.000, iters=3458
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=46.000, iters=3376
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=45.000, iters=3418
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=44.000, iters=3343
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=43.000, iters=3395
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=42.000, iters=3351
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=40.000, iters=3361
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=39.000, iters=3354
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=38.000, iters=3361
% 9.73/10.01  
% 9.73/10.01  Low Water (displace): id=5229, wt=166.000
% 9.73/10.01  
% 9.73/10.01  Low Water (displace): id=5206, wt=157.000
% 9.73/10.01  
% 9.73/10.01  Low Water (displace): id=13029, wt=23.000
% 9.73/10.01  
% 9.73/10.01  Low Water (displace): id=13030, wt=16.000
% 9.73/10.01  
% 9.73/10.01  Low Water (displace): id=13086, wt=15.000
% 9.73/10.01  
% 9.73/10.01  Low Water (displace): id=13108, wt=13.000
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=35.000, iters=3349
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=33.000, iters=3463
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=31.000, iters=3376
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=30.000, iters=3342
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=29.000, iters=3335
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=28.000, iters=3345
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=27.000, iters=3342
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=26.000, iters=3406
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=25.000, iters=3336
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=24.000, iters=3393
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=23.000, iters=3337
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=22.000, iters=3349
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=21.000, iters=3336
% 9.73/10.01  
% 9.73/10.01  Low Water (displace): id=19324, wt=12.000
% 9.73/10.01  
% 9.73/10.01  Low Water (keep): wt=20.000, iters=3346
% 300.02/300.30  Cputime limit exceeded (core dumped)
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