TSTP Solution File: LCL496+1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : LCL496+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n013.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 13:47:12 EDT 2022

% Result   : Unknown 145.87s 146.18s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : LCL496+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.14  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.35  % Computer : n013.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat Jul  2 15:38:44 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.46/1.07  ============================== Prover9 ===============================
% 0.46/1.07  Prover9 (32) version 2009-11A, November 2009.
% 0.46/1.07  Process 26506 was started by sandbox2 on n013.cluster.edu,
% 0.46/1.07  Sat Jul  2 15:38:45 2022
% 0.46/1.07  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_26352_n013.cluster.edu".
% 0.46/1.07  ============================== end of head ===========================
% 0.46/1.07  
% 0.46/1.07  ============================== INPUT =================================
% 0.46/1.07  
% 0.46/1.07  % Reading from file /tmp/Prover9_26352_n013.cluster.edu
% 0.46/1.07  
% 0.46/1.07  set(prolog_style_variables).
% 0.46/1.07  set(auto2).
% 0.46/1.07      % set(auto2) -> set(auto).
% 0.46/1.07      % set(auto) -> set(auto_inference).
% 0.46/1.07      % set(auto) -> set(auto_setup).
% 0.46/1.07      % set(auto_setup) -> set(predicate_elim).
% 0.46/1.07      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.46/1.07      % set(auto) -> set(auto_limits).
% 0.46/1.07      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.46/1.07      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.46/1.07      % set(auto) -> set(auto_denials).
% 0.46/1.07      % set(auto) -> set(auto_process).
% 0.46/1.07      % set(auto2) -> assign(new_constants, 1).
% 0.46/1.07      % set(auto2) -> assign(fold_denial_max, 3).
% 0.46/1.07      % set(auto2) -> assign(max_weight, "200.000").
% 0.46/1.07      % set(auto2) -> assign(max_hours, 1).
% 0.46/1.07      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.46/1.07      % set(auto2) -> assign(max_seconds, 0).
% 0.46/1.07      % set(auto2) -> assign(max_minutes, 5).
% 0.46/1.07      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.46/1.07      % set(auto2) -> set(sort_initial_sos).
% 0.46/1.07      % set(auto2) -> assign(sos_limit, -1).
% 0.46/1.07      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.46/1.07      % set(auto2) -> assign(max_megs, 400).
% 0.46/1.07      % set(auto2) -> assign(stats, some).
% 0.46/1.07      % set(auto2) -> clear(echo_input).
% 0.46/1.07      % set(auto2) -> set(quiet).
% 0.46/1.07      % set(auto2) -> clear(print_initial_clauses).
% 0.46/1.07      % set(auto2) -> clear(print_given).
% 0.46/1.07  assign(lrs_ticks,-1).
% 0.46/1.07  assign(sos_limit,10000).
% 0.46/1.07  assign(order,kbo).
% 0.46/1.07  set(lex_order_vars).
% 0.46/1.07  clear(print_given).
% 0.46/1.07  
% 0.46/1.07  % formulas(sos).  % not echoed (45 formulas)
% 0.46/1.07  
% 0.46/1.07  ============================== end of input ==========================
% 0.46/1.07  
% 0.46/1.07  % From the command line: assign(max_seconds, 300).
% 0.46/1.07  
% 0.46/1.07  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.46/1.07  
% 0.46/1.07  % Formulas that are not ordinary clauses:
% 0.46/1.07  1 modus_ponens <-> (all X all Y (is_a_theorem(X) & is_a_theorem(implies(X,Y)) -> is_a_theorem(Y))) # label(modus_ponens) # label(axiom) # label(non_clause).  [assumption].
% 0.46/1.07  2 substitution_of_equivalents <-> (all X all Y (is_a_theorem(equiv(X,Y)) -> X = Y)) # label(substitution_of_equivalents) # label(axiom) # label(non_clause).  [assumption].
% 0.46/1.07  3 modus_tollens <-> (all X all Y is_a_theorem(implies(implies(not(Y),not(X)),implies(X,Y)))) # label(modus_tollens) # label(axiom) # label(non_clause).  [assumption].
% 0.46/1.07  4 implies_1 <-> (all X all Y is_a_theorem(implies(X,implies(Y,X)))) # label(implies_1) # label(axiom) # label(non_clause).  [assumption].
% 0.46/1.07  5 implies_2 <-> (all X all Y is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y)))) # label(implies_2) # label(axiom) # label(non_clause).  [assumption].
% 0.46/1.07  6 implies_3 <-> (all X all Y all Z is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))) # label(implies_3) # label(axiom) # label(non_clause).  [assumption].
% 0.46/1.07  7 and_1 <-> (all X all Y is_a_theorem(implies(and(X,Y),X))) # label(and_1) # label(axiom) # label(non_clause).  [assumption].
% 0.46/1.07  8 and_2 <-> (all X all Y is_a_theorem(implies(and(X,Y),Y))) # label(and_2) # label(axiom) # label(non_clause).  [assumption].
% 0.46/1.07  9 and_3 <-> (all X all Y is_a_theorem(implies(X,implies(Y,and(X,Y))))) # label(and_3) # label(axiom) # label(non_clause).  [assumption].
% 0.46/1.07  10 or_1 <-> (all X all Y is_a_theorem(implies(X,or(X,Y)))) # label(or_1) # label(axiom) # label(non_clause).  [assumption].
% 0.46/1.07  11 or_2 <-> (all X all Y is_a_theorem(implies(Y,or(X,Y)))) # label(or_2) # label(axiom) # label(non_clause).  [assumption].
% 0.46/1.07  12 or_3 <-> (all X all Y all Z is_a_theorem(implies(implies(X,Z),implies(implies(Y,Z),implies(or(X,Y),Z))))) # label(or_3) # label(axiom) # label(non_clause).  [assumption].
% 0.46/1.07  13 equivalence_1 <-> (all X all Y is_a_theorem(implies(equiv(X,Y),implies(X,Y)))) # label(equivalence_1) # label(axiom) # label(non_clause).  [assumption].
% 0.46/1.07  14 equivalence_2 <-> (all X all Y is_a_theorem(implies(equiv(X,Y),implies(Y,X)))) # label(equivalence_2) # label(axiom) # label(non_clause).  [assumption].
% 1.50/1.78  15 equivalence_3 <-> (all X all Y is_a_theorem(implies(implies(X,Y),implies(implies(Y,X),equiv(X,Y))))) # label(equivalence_3) # label(axiom) # label(non_clause).  [assumption].
% 1.50/1.78  16 kn1 <-> (all P is_a_theorem(implies(P,and(P,P)))) # label(kn1) # label(axiom) # label(non_clause).  [assumption].
% 1.50/1.78  17 kn2 <-> (all P all Q is_a_theorem(implies(and(P,Q),P))) # label(kn2) # label(axiom) # label(non_clause).  [assumption].
% 1.50/1.78  18 kn3 <-> (all P all Q all R is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P)))))) # label(kn3) # label(axiom) # label(non_clause).  [assumption].
% 1.50/1.78  19 cn1 <-> (all P all Q all R is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R))))) # label(cn1) # label(axiom) # label(non_clause).  [assumption].
% 1.50/1.78  20 cn2 <-> (all P all Q is_a_theorem(implies(P,implies(not(P),Q)))) # label(cn2) # label(axiom) # label(non_clause).  [assumption].
% 1.50/1.78  21 cn3 <-> (all P is_a_theorem(implies(implies(not(P),P),P))) # label(cn3) # label(axiom) # label(non_clause).  [assumption].
% 1.50/1.78  22 r1 <-> (all P is_a_theorem(implies(or(P,P),P))) # label(r1) # label(axiom) # label(non_clause).  [assumption].
% 1.50/1.78  23 r2 <-> (all P all Q is_a_theorem(implies(Q,or(P,Q)))) # label(r2) # label(axiom) # label(non_clause).  [assumption].
% 1.50/1.78  24 r3 <-> (all P all Q is_a_theorem(implies(or(P,Q),or(Q,P)))) # label(r3) # label(axiom) # label(non_clause).  [assumption].
% 1.50/1.78  25 r4 <-> (all P all Q all R is_a_theorem(implies(or(P,or(Q,R)),or(Q,or(P,R))))) # label(r4) # label(axiom) # label(non_clause).  [assumption].
% 1.50/1.78  26 r5 <-> (all P all Q all R is_a_theorem(implies(implies(Q,R),implies(or(P,Q),or(P,R))))) # label(r5) # label(axiom) # label(non_clause).  [assumption].
% 1.50/1.78  27 op_or -> (all X all Y or(X,Y) = not(and(not(X),not(Y)))) # label(op_or) # label(axiom) # label(non_clause).  [assumption].
% 1.50/1.78  28 op_and -> (all X all Y and(X,Y) = not(or(not(X),not(Y)))) # label(op_and) # label(axiom) # label(non_clause).  [assumption].
% 1.50/1.78  29 op_implies_and -> (all X all Y implies(X,Y) = not(and(X,not(Y)))) # label(op_implies_and) # label(axiom) # label(non_clause).  [assumption].
% 1.50/1.78  30 op_implies_or -> (all X all Y implies(X,Y) = or(not(X),Y)) # label(op_implies_or) # label(axiom) # label(non_clause).  [assumption].
% 1.50/1.78  31 op_equiv -> (all X all Y equiv(X,Y) = and(implies(X,Y),implies(Y,X))) # label(op_equiv) # label(axiom) # label(non_clause).  [assumption].
% 1.50/1.78  
% 1.50/1.78  ============================== end of process non-clausal formulas ===
% 1.50/1.78  
% 1.50/1.78  ============================== PROCESS INITIAL CLAUSES ===============
% 1.50/1.78  
% 1.50/1.78  ============================== PREDICATE ELIMINATION =================
% 1.50/1.78  
% 1.50/1.78  ============================== end predicate elimination =============
% 1.50/1.78  
% 1.50/1.78  Auto_denials:  (non-Horn, no changes).
% 1.50/1.78  
% 1.50/1.78  Term ordering decisions:
% 1.50/1.78  
% 1.50/1.78  % Assigning unary symbol not kb_weight 0 and highest precedence (94).
% 1.50/1.78  Function symbol KB weights:  c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. c10=1. c11=1. c12=1. c13=1. c14=1. c15=1. c16=1. c17=1. c18=1. c19=1. c20=1. c21=1. c22=1. c23=1. c24=1. c25=1. c26=1. c27=1. c28=1. c29=1. c30=1. c31=1. c32=1. c33=1. c34=1. c35=1. c36=1. c37=1. c38=1. c39=1. c40=1. c41=1. c42=1. c43=1. c44=1. c45=1. c46=1. c47=1. c48=1. c49=1. c50=1. c51=1. c52=1. c53=1. c54=1. c55=1. implies=1. or=1. and=1. equiv=1. not=0.
% 1.50/1.78  
% 1.50/1.78  ============================== end of process initial clauses ========
% 1.50/1.78  
% 1.50/1.78  ============================== CLAUSES FOR SEARCH ====================
% 1.50/1.78  
% 1.50/1.78  ============================== end of clauses for search =============
% 1.50/1.78  
% 1.50/1.78  ============================== SEARCH ================================
% 1.50/1.78  
% 1.50/1.78  % Starting search at 0.02 seconds.
% 1.50/1.78  
% 1.50/1.78  Low Water (keep): wt=34.000, iters=3610
% 1.50/1.78  
% 1.50/1.78  Low Water (keep): wt=28.000, iters=3507
% 1.50/1.78  
% 1.50/1.78  Low Water (keep): wt=22.000, iters=3396
% 1.50/1.78  
% 1.50/1.78  Low Water (keep): wt=21.000, iters=3528
% 1.50/1.78  
% 1.50/1.78  Low Water (keep): wt=19.000, iters=3339
% 1.50/1.78  
% 1.50/1.78  Low Water (keep): wt=18.000, iters=3349
% 1.50/1.78  
% 1.50/1.78  Low Water (keep): wt=17.000, iters=3344
% 1.50/1.78  
% 1.50/1.78  Low Water (keep): wt=16.000, iters=3363
% 1.50/1.78  
% 1.50/1.78  Low Water (keep): wt=15.000, iters=3334
% 1.50/1.78  
% 1.50/1.78  Low Water (keep): wt=14.000, iters=3394
% 145.87/146.17  
% 145.87/146.17  Low Water (keep): wt=13.000, iters=3345
% 145.87/146.17  
% 145.87/146.17  Low Water (displace): id=3162, wt=57.000
% 145.87/146.17  
% 145.87/146.17  Low Water (displace): id=2318, wt=49.000
% 145.87/146.17  
% 145.87/146.17  Low Water (displace): id=1354, wt=42.000
% 145.87/146.17  
% 145.87/146.17  Low Water (displace): id=1355, wt=41.000
% 145.87/146.17  
% 145.87/146.17  Low Water (displace): id=3711, wt=36.000
% 145.87/146.17  
% 145.87/146.17  Low Water (displace): id=3646, wt=34.000
% 145.87/146.17  
% 145.87/146.17  Low Water (displace): id=3516, wt=33.000
% 145.87/146.17  
% 145.87/146.17  Low Water (displace): id=3715, wt=32.000
% 145.87/146.17  
% 145.87/146.17  Low Water (displace): id=3173, wt=31.000
% 145.87/146.17  
% 145.87/146.17  Low Water (displace): id=3714, wt=30.000
% 145.87/146.17  
% 145.87/146.17  Low Water (displace): id=3520, wt=29.000
% 145.87/146.17  
% 145.87/146.17  Low Water (displace): id=11376, wt=12.000
% 145.87/146.17  
% 145.87/146.17  Low Water (displace): id=12096, wt=11.000
% 145.87/146.17  
% 145.87/146.17  Low Water (displace): id=13729, wt=10.000
% 145.87/146.17  
% 145.87/146.17  Low Water (displace): id=13797, wt=9.000
% 145.87/146.17  
% 145.87/146.17  Low Water (displace): id=14346, wt=8.000
% 145.87/146.17  
% 145.87/146.17  Low Water (keep): wt=12.000, iters=3458
% 145.87/146.17  
% 145.87/146.17  Low Water (keep): wt=11.000, iters=3359
% 145.87/146.17  
% 145.87/146.17  Low Water (displace): id=73014, wt=7.000
% 145.87/146.17  
% 145.87/146.17  Low Water (displace): id=73050, wt=6.000
% 145.87/146.17  
% 145.87/146.17  Low Water (keep): wt=10.000, iters=3679
% 145.87/146.17  
% 145.87/146.17  ============================== STATISTICS ============================
% 145.87/146.17  
% 145.87/146.17  Given=8647. Generated=17869131. Kept=618631. proofs=0.
% 145.87/146.17  Usable=8287. Sos=9999. Demods=11. Limbo=887, Disabled=599532. Hints=0.
% 145.87/146.17  Kept_by_rule=0, Deleted_by_rule=0.
% 145.87/146.17  Forward_subsumed=2130329. Back_subsumed=2971.
% 145.87/146.17  Sos_limit_deleted=15120171. Sos_displaced=596382. Sos_removed=0.
% 145.87/146.17  New_demodulators=28 (0 lex), Back_demodulated=90. Back_unit_deleted=15.
% 145.87/146.17  Demod_attempts=212996440. Demod_rewrites=450846.
% 145.87/146.17  Res_instance_prunes=0. Para_instance_prunes=0. Basic_paramod_prunes=0.
% 145.87/146.17  Nonunit_fsub_feature_tests=136470. Nonunit_bsub_feature_tests=6592.
% 145.87/146.17  Megabytes=419.43.
% 145.87/146.17  User_CPU=135.67, System_CPU=9.44, Wall_clock=145.
% 145.87/146.17  
% 145.87/146.17  Megs malloced by palloc(): 400.
% 145.87/146.17    type (bytes each)        gets      frees     in use      bytes
% 145.87/146.17  chunk ( 104)                926        926          0      0.0 K
% 145.87/146.17  string_buf (   8)           866        866          0      0.0 K
% 145.87/146.17  token (  20)               2172       2172          0      0.0 K
% 145.87/146.17  pterm (  16)               1198       1198          0      0.0 K
% 145.87/146.17  hashtab (   8)               31         31          0      0.0 K
% 145.87/146.17  hashnode (   8)             154        154          0      0.0 K
% 145.87/146.17  term (  20)           216086099  209406120    6679979 130468.3 K
% 145.87/146.17        term arg arrays:                                 40226.6 K
% 145.87/146.17  attribute (  12)            355         14        341      4.0 K
% 145.87/146.17  ilist (   8)          729990774  727392890    2597884  20296.0 K
% 145.87/146.17  plist (   8)           11904571   11265863     638708   4989.9 K
% 145.87/146.17  i2list (  12)             29691      29691          0      0.0 K
% 145.87/146.17  just (  12)            18218714   17488186     730528   8560.9 K
% 145.87/146.17  parajust (  16)           34559      17566      16993    265.5 K
% 145.87/146.17  instancejust (   8)           0          0          0      0.0 K
% 145.87/146.17  ivyjust (  24)                0          0          0      0.0 K
% 145.87/146.17  formula (  28)             1511       1183        328      9.0 K
% 145.87/146.17      formula arg arrays:                                    1.0 K
% 145.87/146.17  topform (  52)         17869237   17250500     618737  31420.2 K
% 145.87/146.17  clist_pos (  20)        1844656    1225940     618716  12084.3 K
% 145.87/146.17  clist (  16)                  8          1          7      0.1 K
% 145.87/146.17  context ( 808)         60748646   60748644          2      1.6 K
% 145.87/146.17  trail (  12)           50149215   50149214          1      0.0 K
% 145.87/146.17  ac_match_pos (70044)          0          0          0      0.0 K
% 145.87/146.17  ac_match_free_vars_pos (20020)
% 145.87/146.17                                0          0          0      0.0 K
% 145.87/146.17  btm_state (  60)              0          0          0      0.0 K
% 145.87/146.17  btu_state (  60)              0          0          0      0.0 K
% 145.87/146.17  ac_position (285432)          0          0          0      0.0 K
% 145.87/146.17  fpa_trie (  20)         8927724    7419873    1507851  29450.2 K
% 145.87/146.17  fpa_state (  28)       13742861   13742294        567     15.5 K
% 145.87/146.17  fpa_index (  12)             10          0         10      0.1 K
% 145.87/146.17  fpa_chunk (  20)        8586423    8536115      50308    982.6 K
% 145.87/146.17  fpa_list (  16)         7453921          0    7453921 116467.5 K
% 145.87/146.17        fpa_list chunks:                                  2238.3 K
% 145.87/146.17  discrim (  12)          5300720    5227231      73489    861.2 K
% 145.87/146.17  discrim_pos (  16)      2580594    2580594          0      0.0 K
% 145.87/146.17  flat2 (  32)          214393073  214393073          0      0.0 K
% 145.87/146.17  flat (  48)                   0          0          0      0.0 K
% 145.87/146.17  flatterm (  32)       319167838  319167838          0      0.0 K
% 145.87/146.17  mindex (  28)                13          0         13      0.4 K
% 145.87/146.17  mindex_pos (  56)      22505563   22505562          1      0.1 K
% 145.87/146.17  lindex (  12)                 5          0          5      0.1 K
% 145.87/146.17  clash (  40)             673135     673135          0      0.0 K
% 145.87/146.17  di_tree (  12)           519205     440062      79143    927.5 K
% 145.87/146.17  avl_node (  20)         1235425    1215427      19998    390.6 K
% 145.87/146.17  
% 145.87/146.17  Memory report, 20 @ 20 = 400 megs (400.00 megs used).
% 145.87/146.17  List   1, length       7,      0.0 K
% 145.87/146.17  List   2, length     308,      2.4 K
% 145.87/146.17  List   3, length   23872,    279.8 K
% 145.87/146.17  List   7, length       8,      0.2 K
% 145.87/146.17  List   8, length     494,     15.4 K
% 145.87/146.17  List  10, length       3,      0.1 K
% 145.87/146.17  List  14, length       2,      0.1 K
% 145.87/146.17  List  16, length     256,     16.0 K
% 145.87/146.17  List  26, length      30,      3.0 K
% 145.87/146.17  List  32, length     167,     20.9 K
% 145.87/146.17  List  64, length     128,     32.0 K
% 145.87/146.17  List 128, length      21,     10.5 K
% 145.87/146.17  List 202, length       3,      2.4 K
% 145.87/146.17  List 256, length      12,     12.0 K
% 145.87/146.17  
% 145.87/146.17  ============================== SELECTOR REPORT =======================
% 145.87/146.17  Sos_deleted=15120171, Sos_displaced=596382, Sos_size=9999
% 145.87/146.17    SELECTOR       PART   PRIORITY      ORDER       SIZE   SELECTED
% 145.87/146.17           I 2147483647       high        age          0         61
% 145.87/146.17           H          1       high     weight          0          0
% 145.87/146.17           A          1        low        age       9999        954
% 145.87/146.17           F          4        low     weight       8225       3816
% 145.87/146.17           T          4        low     weight       1774       3816
% 145.87/146.17  ============================== end of selector report ================
% 145.87/146.17  
% 145.87/146.17  ============================== end of statistics =====================
% 145.87/146.17  
% 145.87/146.17  Exiting with failure.
% 145.87/146.17  
% 145.87/146.17  Process 26506 exit (max_megs) Sat Jul  2 15:41:10 2022
% 145.87/146.17  Prover9 interrupted
%------------------------------------------------------------------------------