TSTP Solution File: REL029+4 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : REL029+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n025.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 19:54:06 EDT 2022

% Result   : Timeout 300.11s 300.42s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : REL029+4 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Fri Jul  8 15:53:45 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.42/0.98  ============================== Prover9 ===============================
% 0.42/0.98  Prover9 (32) version 2009-11A, November 2009.
% 0.42/0.98  Process 10821 was started by sandbox2 on n025.cluster.edu,
% 0.42/0.98  Fri Jul  8 15:53:45 2022
% 0.42/0.98  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_10651_n025.cluster.edu".
% 0.42/0.98  ============================== end of head ===========================
% 0.42/0.98  
% 0.42/0.98  ============================== INPUT =================================
% 0.42/0.98  
% 0.42/0.98  % Reading from file /tmp/Prover9_10651_n025.cluster.edu
% 0.42/0.98  
% 0.42/0.98  set(prolog_style_variables).
% 0.42/0.98  set(auto2).
% 0.42/0.98      % set(auto2) -> set(auto).
% 0.42/0.98      % set(auto) -> set(auto_inference).
% 0.42/0.98      % set(auto) -> set(auto_setup).
% 0.42/0.98      % set(auto_setup) -> set(predicate_elim).
% 0.42/0.98      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.42/0.98      % set(auto) -> set(auto_limits).
% 0.42/0.98      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.42/0.98      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.42/0.98      % set(auto) -> set(auto_denials).
% 0.42/0.98      % set(auto) -> set(auto_process).
% 0.42/0.98      % set(auto2) -> assign(new_constants, 1).
% 0.42/0.98      % set(auto2) -> assign(fold_denial_max, 3).
% 0.42/0.98      % set(auto2) -> assign(max_weight, "200.000").
% 0.42/0.98      % set(auto2) -> assign(max_hours, 1).
% 0.42/0.98      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.42/0.98      % set(auto2) -> assign(max_seconds, 0).
% 0.42/0.98      % set(auto2) -> assign(max_minutes, 5).
% 0.42/0.98      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.42/0.98      % set(auto2) -> set(sort_initial_sos).
% 0.42/0.98      % set(auto2) -> assign(sos_limit, -1).
% 0.42/0.98      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.42/0.98      % set(auto2) -> assign(max_megs, 400).
% 0.42/0.98      % set(auto2) -> assign(stats, some).
% 0.42/0.98      % set(auto2) -> clear(echo_input).
% 0.42/0.98      % set(auto2) -> set(quiet).
% 0.42/0.98      % set(auto2) -> clear(print_initial_clauses).
% 0.42/0.98      % set(auto2) -> clear(print_given).
% 0.42/0.98  assign(lrs_ticks,-1).
% 0.42/0.98  assign(sos_limit,10000).
% 0.42/0.98  assign(order,kbo).
% 0.42/0.98  set(lex_order_vars).
% 0.42/0.98  clear(print_given).
% 0.42/0.98  
% 0.42/0.98  % formulas(sos).  % not echoed (17 formulas)
% 0.42/0.98  
% 0.42/0.98  ============================== end of input ==========================
% 0.42/0.98  
% 0.42/0.98  % From the command line: assign(max_seconds, 300).
% 0.42/0.98  
% 0.42/0.98  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.42/0.98  
% 0.42/0.98  % Formulas that are not ordinary clauses:
% 0.42/0.98  1 (all X0 all X1 join(X0,X1) = join(X1,X0)) # label(maddux1_join_commutativity) # label(axiom) # label(non_clause).  [assumption].
% 0.42/0.98  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].
% 0.42/0.98  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].
% 0.42/0.98  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].
% 0.42/0.98  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].
% 0.42/0.98  6 (all X0 composition(X0,one) = X0) # label(composition_identity) # label(axiom) # label(non_clause).  [assumption].
% 0.42/0.98  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].
% 0.42/0.98  8 (all X0 converse(converse(X0)) = X0) # label(converse_idempotence) # label(axiom) # label(non_clause).  [assumption].
% 0.42/0.98  9 (all X0 all X1 converse(join(X0,X1)) = join(converse(X0),converse(X1))) # label(converse_additivity) # label(axiom) # label(non_clause).  [assumption].
% 0.42/0.98  10 (all X0 all X1 converse(composition(X0,X1)) = composition(converse(X1),converse(X0))) # label(converse_multiplicativity) # label(axiom) # label(non_clause).  [assumption].
% 0.42/0.98  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].
% 0.42/0.98  12 (all X0 top = join(X0,complement(X0))) # label(def_top) # label(axiom) # label(non_clause).  [assumption].
% 0.42/0.98  13 (all X0 zero = meet(X0,complement(X0))) # label(def_zero) # label(axiom) # label(non_clause).  [assumption].
% 3.70/4.06  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].
% 3.70/4.06  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].
% 3.70/4.06  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].
% 3.70/4.06  17 -(all X0 all X1 all X2 (join(X0,one) = one & join(X1,one) = one -> join(meet(composition(X0,X2),composition(X1,X2)),composition(meet(X0,X1),X2)) = composition(meet(X0,X1),X2) & join(composition(meet(X0,X1),X2),meet(composition(X0,X2),composition(X1,X2))) = meet(composition(X0,X2),composition(X1,X2)))) # label(goals) # label(negated_conjecture) # label(non_clause).  [assumption].
% 3.70/4.06  
% 3.70/4.06  ============================== end of process non-clausal formulas ===
% 3.70/4.06  
% 3.70/4.06  ============================== PROCESS INITIAL CLAUSES ===============
% 3.70/4.06  
% 3.70/4.06  ============================== PREDICATE ELIMINATION =================
% 3.70/4.06  
% 3.70/4.06  ============================== end predicate elimination =============
% 3.70/4.06  
% 3.70/4.06  Auto_denials:
% 3.70/4.06    % copying label goals to answer in negative clause
% 3.70/4.06  
% 3.70/4.06  Term ordering decisions:
% 3.70/4.06  Function symbol KB weights:  one=1. top=1. zero=1. c1=1. c2=1. c3=1. composition=1. join=1. meet=1. converse=1. complement=1.
% 3.70/4.06  
% 3.70/4.06  ============================== end of process initial clauses ========
% 3.70/4.06  
% 3.70/4.06  ============================== CLAUSES FOR SEARCH ====================
% 3.70/4.06  
% 3.70/4.06  ============================== end of clauses for search =============
% 3.70/4.06  
% 3.70/4.06  ============================== SEARCH ================================
% 3.78/4.06  
% 3.78/4.06  % Starting search at 0.01 seconds.
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=128.000, iters=3360
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=104.000, iters=3346
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=96.000, iters=3685
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=78.000, iters=3538
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=71.000, iters=3442
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=70.000, iters=3348
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=68.000, iters=3353
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=67.000, iters=3333
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=66.000, iters=3363
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=65.000, iters=3356
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=63.000, iters=3353
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=62.000, iters=3383
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=61.000, iters=3335
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=59.000, iters=3349
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=58.000, iters=3355
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=56.000, iters=3335
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=55.000, iters=3348
% 3.78/4.06  
% 3.78/4.06  NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 49 (0.00 of 2.04 sec).
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=54.000, iters=3478
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=53.000, iters=3425
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=52.000, iters=3393
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=51.000, iters=3413
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=50.000, iters=3494
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=48.000, iters=3360
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=47.000, iters=3421
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=46.000, iters=3399
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=45.000, iters=3367
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=43.000, iters=3346
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=42.000, iters=3348
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=36.000, iters=3439
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=34.000, iters=3338
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=33.000, iters=3346
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=31.000, iters=3363
% 3.78/4.06  
% 3.78/4.06  Low Water (displace): id=5342, wt=171.000
% 3.78/4.06  
% 3.78/4.06  Low Water (displace): id=5229, wt=166.000
% 3.78/4.06  
% 3.78/4.06  Low Water (displace): id=3947, wt=157.000
% 3.78/4.06  
% 3.78/4.06  Low Water (displace): id=12064, wt=17.000
% 3.78/4.06  
% 3.78/4.06  Low Water (displace): id=12066, wt=16.000
% 3.78/4.06  
% 3.78/4.06  Low Water (displace): id=12109, wt=15.000
% 3.78/4.06  
% 3.78/4.06  Low Water (displace): id=12119, wt=14.000
% 3.78/4.06  
% 3.78/4.06  Low Water (displace): id=12133, wt=13.000
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=30.000, iters=3359
% 3.78/4.06  
% 3.78/4.06  Low Water (displace): id=12216, wt=12.000
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=29.000, iters=3394
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=28.000, iters=3351
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=27.000, iters=3339
% 3.78/4.06  
% 3.78/4.06  Low Water (keep): wt=26.000, iters=3Cputime limit exceeded (core dumped)
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