TSTP Solution File: SET615+3 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SET615+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n008.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 : Tue Jul 19 04:30:48 EDT 2022

% Result   : Timeout 300.06s 300.40s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SET615+3 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.34  % Computer : n008.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 : Mon Jul 11 07:48:38 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 1.64/1.93  ============================== Prover9 ===============================
% 1.64/1.93  Prover9 (32) version 2009-11A, November 2009.
% 1.64/1.93  Process 30024 was started by sandbox2 on n008.cluster.edu,
% 1.64/1.93  Mon Jul 11 07:48:39 2022
% 1.64/1.93  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_29871_n008.cluster.edu".
% 1.64/1.93  ============================== end of head ===========================
% 1.64/1.93  
% 1.64/1.93  ============================== INPUT =================================
% 1.64/1.93  
% 1.64/1.93  % Reading from file /tmp/Prover9_29871_n008.cluster.edu
% 1.64/1.93  
% 1.64/1.93  set(prolog_style_variables).
% 1.64/1.93  set(auto2).
% 1.64/1.93      % set(auto2) -> set(auto).
% 1.64/1.93      % set(auto) -> set(auto_inference).
% 1.64/1.93      % set(auto) -> set(auto_setup).
% 1.64/1.93      % set(auto_setup) -> set(predicate_elim).
% 1.64/1.93      % set(auto_setup) -> assign(eq_defs, unfold).
% 1.64/1.93      % set(auto) -> set(auto_limits).
% 1.64/1.93      % set(auto_limits) -> assign(max_weight, "100.000").
% 1.64/1.93      % set(auto_limits) -> assign(sos_limit, 20000).
% 1.64/1.93      % set(auto) -> set(auto_denials).
% 1.64/1.93      % set(auto) -> set(auto_process).
% 1.64/1.93      % set(auto2) -> assign(new_constants, 1).
% 1.64/1.93      % set(auto2) -> assign(fold_denial_max, 3).
% 1.64/1.93      % set(auto2) -> assign(max_weight, "200.000").
% 1.64/1.93      % set(auto2) -> assign(max_hours, 1).
% 1.64/1.93      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.64/1.93      % set(auto2) -> assign(max_seconds, 0).
% 1.64/1.93      % set(auto2) -> assign(max_minutes, 5).
% 1.64/1.93      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.64/1.93      % set(auto2) -> set(sort_initial_sos).
% 1.64/1.93      % set(auto2) -> assign(sos_limit, -1).
% 1.64/1.93      % set(auto2) -> assign(lrs_ticks, 3000).
% 1.64/1.93      % set(auto2) -> assign(max_megs, 400).
% 1.64/1.93      % set(auto2) -> assign(stats, some).
% 1.64/1.93      % set(auto2) -> clear(echo_input).
% 1.64/1.93      % set(auto2) -> set(quiet).
% 1.64/1.93      % set(auto2) -> clear(print_initial_clauses).
% 1.64/1.93      % set(auto2) -> clear(print_given).
% 1.64/1.93  assign(lrs_ticks,-1).
% 1.64/1.93  assign(sos_limit,10000).
% 1.64/1.93  assign(order,kbo).
% 1.64/1.93  set(lex_order_vars).
% 1.64/1.93  clear(print_given).
% 1.64/1.93  
% 1.64/1.93  % formulas(sos).  % not echoed (8 formulas)
% 1.64/1.93  
% 1.64/1.93  ============================== end of input ==========================
% 1.64/1.93  
% 1.64/1.93  % From the command line: assign(max_seconds, 300).
% 1.64/1.93  
% 1.64/1.93  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.64/1.93  
% 1.64/1.93  % Formulas that are not ordinary clauses:
% 1.64/1.93  1 (all B all C all D (member(D,union(B,C)) <-> member(D,B) | member(D,C))) # label(union_defn) # label(axiom) # label(non_clause).  [assumption].
% 1.64/1.93  2 (all B all C all D (member(D,difference(B,C)) <-> member(D,B) & -member(D,C))) # label(difference_defn) # label(axiom) # label(non_clause).  [assumption].
% 1.64/1.93  3 (all B all C (B = C <-> subset(B,C) & subset(C,B))) # label(equal_defn) # label(axiom) # label(non_clause).  [assumption].
% 1.64/1.93  4 (all B all C union(B,C) = union(C,B)) # label(commutativity_of_union) # label(axiom) # label(non_clause).  [assumption].
% 1.64/1.93  5 (all B all C (subset(B,C) <-> (all D (member(D,B) -> member(D,C))))) # label(subset_defn) # label(axiom) # label(non_clause).  [assumption].
% 1.64/1.93  6 (all B subset(B,B)) # label(reflexivity_of_subset) # label(axiom) # label(non_clause).  [assumption].
% 1.64/1.93  7 (all B all C (B = C <-> (all D (member(D,B) <-> member(D,C))))) # label(equal_member_defn) # label(axiom) # label(non_clause).  [assumption].
% 1.64/1.93  8 -(all B all C all D difference(union(B,C),D) = union(difference(B,D),difference(C,D))) # label(prove_difference_distributes_over_union) # label(negated_conjecture) # label(non_clause).  [assumption].
% 1.64/1.93  
% 1.64/1.93  ============================== end of process non-clausal formulas ===
% 1.64/1.93  
% 1.64/1.93  ============================== PROCESS INITIAL CLAUSES ===============
% 1.64/1.93  
% 1.64/1.93  ============================== PREDICATE ELIMINATION =================
% 1.64/1.93  
% 1.64/1.93  ============================== end predicate elimination =============
% 1.64/1.93  
% 1.64/1.93  Auto_denials:  (non-Horn, no changes).
% 1.64/1.93  
% 1.64/1.93  Term ordering decisions:
% 1.64/1.93  Function symbol KB weights:  c1=1. c2=1. c3=1. union=1. difference=1. f1=1. f2=1.
% 1.64/1.93  
% 1.64/1.93  ============================== end of process initial clauses ========
% 1.64/1.93  
% 1.64/1.93  ============================== CLAUSES FOR SEARCH ====================
% 1.64/1.93  
% 1.64/1.93  ============================== end of clauses for search =============
% 1.64/1.93  
% 1.64/1.93  ============================== SEARCH ================================
% 1.64/1.93  
% 1.64/1.93  % Starting search at 0.01 seconds.
% 1.64/1.93  
% 1.64/1.93  Low Water (keep): wt=156.000, iters=3733
% 1.64/1.93  
% 1.64/1.93  Low Water (keep): wt=148.000, iters=3704
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=140.000, iters=3668
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=132.000, iters=3628
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=124.000, iters=3587
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=116.000, iters=3515
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=108.000, iters=3371
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=100.000, iters=3610
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=92.000, iters=3484
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=87.000, iters=3533
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=81.000, iters=3391
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=77.000, iters=3335
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=76.000, iters=3409
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=73.000, iters=3440
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=68.000, iters=3341
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=66.000, iters=3371
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=64.000, iters=3346
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=63.000, iters=3341
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=62.000, iters=3397
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=61.000, iters=3486
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=59.000, iters=3359
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=57.000, iters=3413
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=56.000, iters=3408
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=55.000, iters=3453
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=52.000, iters=3357
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=51.000, iters=3345
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=50.000, iters=3360
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=49.000, iters=3379
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=48.000, iters=3391
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=47.000, iters=3382
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=46.000, iters=3379
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=45.000, iters=3388
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=44.000, iters=3353
% 40.66/40.96  
% 40.66/40.96  NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 38 (0.00 of 5.52 sec).
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=42.000, iters=3336
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=40.000, iters=3361
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=38.000, iters=3369
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=34.000, iters=3413
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=32.000, iters=3496
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=31.000, iters=3399
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=30.000, iters=3422
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=29.000, iters=3524
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=28.000, iters=3336
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=27.000, iters=3434
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=26.000, iters=3342
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=25.000, iters=3360
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=24.000, iters=3334
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=23.000, iters=3335
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3264, wt=199.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3086, wt=187.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=2948, wt=175.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=2712, wt=163.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3751, wt=162.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3737, wt=158.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3747, wt=156.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3744, wt=154.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=2576, wt=151.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3601, wt=150.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3753, wt=148.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3608, wt=146.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3395, wt=142.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3721, wt=141.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3617, wt=140.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=2296, wt=139.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3402, wt=138.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3259, wt=134.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3585, wt=133.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3413, wt=132.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3268, wt=130.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=2167, wt=127.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3081, wt=126.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3405, wt=125.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3738, wt=124.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3090, wt=122.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3757, wt=121.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3743, wt=120.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3736, wt=119.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3602, wt=118.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3735, wt=117.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3101, wt=116.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3745, wt=115.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3607, wt=114.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3600, wt=113.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3708, wt=112.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3599, wt=111.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=2758, wt=110.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3609, wt=109.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3710, wt=108.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3432, wt=107.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3572, wt=106.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3394, wt=105.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3403, wt=103.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3574, wt=102.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3434, wt=101.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3816, wt=100.000
% 40.66/40.96  
% 40.66/40.96  Low Water (keep): wt=22.000, iters=3346
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): id=3258, wt=99.000
% 40.66/40.96  
% 40.66/40.96  Low Water (displace): Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------