TSTP Solution File: LCL461+1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : LCL461+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n026.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 13:46:59 EDT 2022

% Result   : Unknown 187.89s 188.20s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08  % Problem  : LCL461+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.09  % Command  : tptp2X_and_run_prover9 %d %s
% 0.08/0.29  % Computer : n026.cluster.edu
% 0.08/0.29  % Model    : x86_64 x86_64
% 0.08/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29  % Memory   : 8042.1875MB
% 0.08/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29  % CPULimit : 300
% 0.08/0.29  % WCLimit  : 600
% 0.08/0.29  % DateTime : Mon Jul  4 01:43:36 EDT 2022
% 0.08/0.29  % CPUTime  : 
% 0.35/1.02  ============================== Prover9 ===============================
% 0.35/1.02  Prover9 (32) version 2009-11A, November 2009.
% 0.35/1.02  Process 14399 was started by sandbox2 on n026.cluster.edu,
% 0.35/1.02  Mon Jul  4 01:43:37 2022
% 0.35/1.02  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_14244_n026.cluster.edu".
% 0.35/1.02  ============================== end of head ===========================
% 0.35/1.02  
% 0.35/1.02  ============================== INPUT =================================
% 0.35/1.02  
% 0.35/1.02  % Reading from file /tmp/Prover9_14244_n026.cluster.edu
% 0.35/1.02  
% 0.35/1.02  set(prolog_style_variables).
% 0.35/1.02  set(auto2).
% 0.35/1.02      % set(auto2) -> set(auto).
% 0.35/1.02      % set(auto) -> set(auto_inference).
% 0.35/1.02      % set(auto) -> set(auto_setup).
% 0.35/1.02      % set(auto_setup) -> set(predicate_elim).
% 0.35/1.02      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.35/1.02      % set(auto) -> set(auto_limits).
% 0.35/1.02      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.35/1.02      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.35/1.02      % set(auto) -> set(auto_denials).
% 0.35/1.02      % set(auto) -> set(auto_process).
% 0.35/1.02      % set(auto2) -> assign(new_constants, 1).
% 0.35/1.02      % set(auto2) -> assign(fold_denial_max, 3).
% 0.35/1.02      % set(auto2) -> assign(max_weight, "200.000").
% 0.35/1.02      % set(auto2) -> assign(max_hours, 1).
% 0.35/1.02      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.35/1.02      % set(auto2) -> assign(max_seconds, 0).
% 0.35/1.02      % set(auto2) -> assign(max_minutes, 5).
% 0.35/1.02      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.35/1.02      % set(auto2) -> set(sort_initial_sos).
% 0.35/1.02      % set(auto2) -> assign(sos_limit, -1).
% 0.35/1.02      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.35/1.02      % set(auto2) -> assign(max_megs, 400).
% 0.35/1.02      % set(auto2) -> assign(stats, some).
% 0.35/1.02      % set(auto2) -> clear(echo_input).
% 0.35/1.02      % set(auto2) -> set(quiet).
% 0.35/1.02      % set(auto2) -> clear(print_initial_clauses).
% 0.35/1.02      % set(auto2) -> clear(print_given).
% 0.35/1.02  assign(lrs_ticks,-1).
% 0.35/1.02  assign(sos_limit,10000).
% 0.35/1.02  assign(order,kbo).
% 0.35/1.02  set(lex_order_vars).
% 0.35/1.02  clear(print_given).
% 0.35/1.02  
% 0.35/1.02  % formulas(sos).  % not echoed (53 formulas)
% 0.35/1.02  
% 0.35/1.02  ============================== end of input ==========================
% 0.35/1.02  
% 0.35/1.02  % From the command line: assign(max_seconds, 300).
% 0.35/1.02  
% 0.35/1.02  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.35/1.02  
% 0.35/1.02  % Formulas that are not ordinary clauses:
% 0.35/1.02  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].
% 0.35/1.02  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].
% 0.35/1.02  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].
% 0.35/1.02  4 implies_1 <-> (all X all Y is_a_theorem(implies(X,implies(Y,X)))) # label(implies_1) # label(axiom) # label(non_clause).  [assumption].
% 0.35/1.02  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].
% 0.35/1.02  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].
% 0.35/1.02  7 and_1 <-> (all X all Y is_a_theorem(implies(and(X,Y),X))) # label(and_1) # label(axiom) # label(non_clause).  [assumption].
% 0.35/1.02  8 and_2 <-> (all X all Y is_a_theorem(implies(and(X,Y),Y))) # label(and_2) # label(axiom) # label(non_clause).  [assumption].
% 0.35/1.02  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].
% 0.35/1.02  10 or_1 <-> (all X all Y is_a_theorem(implies(X,or(X,Y)))) # label(or_1) # label(axiom) # label(non_clause).  [assumption].
% 0.35/1.02  11 or_2 <-> (all X all Y is_a_theorem(implies(Y,or(X,Y)))) # label(or_2) # label(axiom) # label(non_clause).  [assumption].
% 0.35/1.02  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].
% 0.35/1.02  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].
% 0.35/1.02  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].
% 1.42/1.69  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].
% 1.42/1.69  16 kn1 <-> (all P is_a_theorem(implies(P,and(P,P)))) # label(kn1) # label(axiom) # label(non_clause).  [assumption].
% 1.42/1.69  17 kn2 <-> (all P all Q is_a_theorem(implies(and(P,Q),P))) # label(kn2) # label(axiom) # label(non_clause).  [assumption].
% 1.42/1.69  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].
% 1.42/1.69  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].
% 1.42/1.69  20 cn2 <-> (all P all Q is_a_theorem(implies(P,implies(not(P),Q)))) # label(cn2) # label(axiom) # label(non_clause).  [assumption].
% 1.42/1.69  21 cn3 <-> (all P is_a_theorem(implies(implies(not(P),P),P))) # label(cn3) # label(axiom) # label(non_clause).  [assumption].
% 1.42/1.69  22 r1 <-> (all P is_a_theorem(implies(or(P,P),P))) # label(r1) # label(axiom) # label(non_clause).  [assumption].
% 1.42/1.69  23 r2 <-> (all P all Q is_a_theorem(implies(Q,or(P,Q)))) # label(r2) # label(axiom) # label(non_clause).  [assumption].
% 1.42/1.69  24 r3 <-> (all P all Q is_a_theorem(implies(or(P,Q),or(Q,P)))) # label(r3) # label(axiom) # label(non_clause).  [assumption].
% 1.42/1.69  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].
% 1.42/1.69  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].
% 1.42/1.69  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].
% 1.42/1.69  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].
% 1.42/1.69  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].
% 1.42/1.69  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].
% 1.42/1.69  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].
% 1.42/1.69  
% 1.42/1.69  ============================== end of process non-clausal formulas ===
% 1.42/1.69  
% 1.42/1.69  ============================== PROCESS INITIAL CLAUSES ===============
% 1.42/1.69  
% 1.42/1.69  ============================== PREDICATE ELIMINATION =================
% 1.42/1.69  
% 1.42/1.69  ============================== end predicate elimination =============
% 1.42/1.69  
% 1.42/1.69  Auto_denials:  (non-Horn, no changes).
% 1.42/1.69  
% 1.42/1.69  Term ordering decisions:
% 1.42/1.69  
% 1.42/1.69  % Assigning unary symbol not kb_weight 0 and highest precedence (93).
% 1.42/1.69  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.
% 1.42/1.69  
% 1.42/1.69  ============================== end of process initial clauses ========
% 1.42/1.69  
% 1.42/1.69  ============================== CLAUSES FOR SEARCH ====================
% 1.42/1.69  
% 1.42/1.69  ============================== end of clauses for search =============
% 1.42/1.69  
% 1.42/1.69  ============================== SEARCH ================================
% 1.42/1.69  
% 1.42/1.69  % Starting search at 0.02 seconds.
% 1.42/1.69  
% 1.42/1.69  Low Water (keep): wt=28.000, iters=3388
% 1.42/1.69  
% 1.42/1.69  Low Water (keep): wt=26.000, iters=3386
% 1.42/1.69  
% 1.42/1.69  Low Water (keep): wt=24.000, iters=3379
% 1.42/1.69  
% 1.42/1.69  Low Water (keep): wt=22.000, iters=3334
% 1.42/1.69  
% 1.42/1.69  Low Water (keep): wt=21.000, iters=3380
% 1.42/1.69  
% 1.42/1.69  Low Water (keep): wt=20.000, iters=3405
% 1.42/1.69  
% 1.42/1.69  Low Water (keep): wt=19.000, iters=3391
% 1.42/1.69  
% 1.42/1.69  Low Water (keep): wt=18.000, iters=3346
% 1.42/1.69  
% 1.42/1.69  Low Water (keep): wt=17.000, iters=3353
% 1.42/1.69  
% 1.42/1.69  Low Water (keep): wt=16.000, iters=3370
% 187.89/188.19  
% 187.89/188.19  Low Water (keep): wt=15.000, iters=3336
% 187.89/188.19  
% 187.89/188.19  Low Water (displace): id=2544, wt=37.000
% 187.89/188.19  
% 187.89/188.19  Low Water (displace): id=3020, wt=35.000
% 187.89/188.19  
% 187.89/188.19  Low Water (displace): id=3518, wt=33.000
% 187.89/188.19  
% 187.89/188.19  Low Water (displace): id=2546, wt=32.000
% 187.89/188.19  
% 187.89/188.19  Low Water (displace): id=3024, wt=31.000
% 187.89/188.19  
% 187.89/188.19  Low Water (displace): id=3022, wt=30.000
% 187.89/188.19  
% 187.89/188.19  Low Water (displace): id=3522, wt=29.000
% 187.89/188.19  
% 187.89/188.19  Low Water (displace): id=3746, wt=28.000
% 187.89/188.19  
% 187.89/188.19  Low Water (displace): id=10766, wt=14.000
% 187.89/188.19  
% 187.89/188.19  Low Water (displace): id=10991, wt=13.000
% 187.89/188.19  
% 187.89/188.19  Low Water (keep): wt=14.000, iters=3355
% 187.89/188.19  
% 187.89/188.19  Low Water (displace): id=11898, wt=11.000
% 187.89/188.19  
% 187.89/188.19  NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 109 (0.00 of 1.18 sec).
% 187.89/188.19  
% 187.89/188.19  Low Water (keep): wt=13.000, iters=3602
% 187.89/188.19  
% 187.89/188.19  Low Water (displace): id=48008, wt=10.000
% 187.89/188.19  
% 187.89/188.19  Low Water (keep): wt=12.000, iters=3333
% 187.89/188.19  
% 187.89/188.19  Low Water (keep): wt=11.000, iters=3334
% 187.89/188.19  
% 187.89/188.19  ============================== STATISTICS ============================
% 187.89/188.19  
% 187.89/188.19  Given=8296. Generated=18418209. Kept=677719. proofs=0.
% 187.89/188.19  Usable=8289. Sos=9996. Demods=5. Limbo=967, Disabled=658548. Hints=0.
% 187.89/188.19  Kept_by_rule=0, Deleted_by_rule=0.
% 187.89/188.19  Forward_subsumed=2693708. Back_subsumed=110.
% 187.89/188.19  Sos_limit_deleted=15046782. Sos_displaced=658343. Sos_removed=0.
% 187.89/188.19  New_demodulators=10 (0 lex), Back_demodulated=7. Back_unit_deleted=6.
% 187.89/188.19  Demod_attempts=239733609. Demod_rewrites=245423.
% 187.89/188.19  Res_instance_prunes=0. Para_instance_prunes=0. Basic_paramod_prunes=0.
% 187.89/188.19  Nonunit_fsub_feature_tests=126557. Nonunit_bsub_feature_tests=565.
% 187.89/188.19  Megabytes=419.43.
% 187.89/188.19  User_CPU=177.20, System_CPU=9.99, Wall_clock=187.
% 187.89/188.19  
% 187.89/188.19  Megs malloced by palloc(): 400.
% 187.89/188.19    type (bytes each)        gets      frees     in use      bytes
% 187.89/188.19  chunk ( 104)                990        990          0      0.0 K
% 187.89/188.19  string_buf (   8)           930        930          0      0.0 K
% 187.89/188.19  token (  20)               2300       2300          0      0.0 K
% 187.89/188.19  pterm (  16)               1270       1270          0      0.0 K
% 187.89/188.19  hashtab (   8)               31         31          0      0.0 K
% 187.89/188.19  hashnode (   8)             154        154          0      0.0 K
% 187.89/188.19  term (  20)           242121862  234118756    8003106 156310.7 K
% 187.89/188.19        term arg arrays:                                 48086.3 K
% 187.89/188.19  attribute (  12)            341         24        317      3.7 K
% 187.89/188.19  ilist (   8)          579665617  576900468    2765149  21602.7 K
% 187.89/188.19  plist (   8)           14093721   13395931     697790   5451.5 K
% 187.89/188.19  i2list (  12)             14031      14031          0      0.0 K
% 187.89/188.19  just (  12)            18639434   17912396     727038   8520.0 K
% 187.89/188.19  parajust (  16)           10635       4993       5642     88.2 K
% 187.89/188.19  instancejust (   8)           0          0          0      0.0 K
% 187.89/188.19  ivyjust (  24)                0          0          0      0.0 K
% 187.89/188.19  formula (  28)             1519       1191        328      9.0 K
% 187.89/188.19      formula arg arrays:                                    1.0 K
% 187.89/188.19  topform (  52)         18418322   17740490     677832  34421.2 K
% 187.89/188.19  clist_pos (  20)        2021405    1343600     677805  13238.4 K
% 187.89/188.19  clist (  16)                  8          1          7      0.1 K
% 187.89/188.19  context ( 808)         62100180   62100176          4      3.2 K
% 187.89/188.19  trail (  12)          120922297  120922296          1      0.0 K
% 187.89/188.19  ac_match_pos (70044)          0          0          0      0.0 K
% 187.89/188.19  ac_match_free_vars_pos (20020)
% 187.89/188.19                                0          0          0      0.0 K
% 187.89/188.19  btm_state (  60)              0          0          0      0.0 K
% 187.89/188.19  btu_state (  60)              0          0          0      0.0 K
% 187.89/188.19  ac_position (285432)          0          0          0      0.0 K
% 187.89/188.19  fpa_trie (  20)         6558494    5551495    1006999  19667.9 K
% 187.89/188.19  fpa_state (  28)       16802311   16801620        691     18.9 K
% 187.89/188.19  fpa_index (  12)             10          0         10      0.1 K
% 187.89/188.19  fpa_chunk (  20)        7037885    6985721      52164   1018.8 K
% 187.89/188.19  fpa_list (  16)         5585447          0    5585447  87272.6 K
% 187.89/188.19        fpa_list chunks:                                  2527.7 K
% 187.89/188.19  discrim (  12)          5531933    5466237      65696    769.9 K
% 187.89/188.19  discrim_pos (  16)      2938997    2938997          0      0.0 K
% 187.89/188.19  flat2 (  32)          248009405  248009405          0      0.0 K
% 187.89/188.19  flat (  48)                   0          0          0      0.0 K
% 187.89/188.19  flatterm (  32)       359836288  359836288          0      0.0 K
% 187.89/188.20  mindex (  28)                13          0         13      0.4 K
% 187.89/188.20  mindex_pos (  56)      23188028   23188026          2      0.1 K
% 187.89/188.20  lindex (  12)                 5          0          5      0.1 K
% 187.89/188.20  clash (  40)            2078018    2078018          0      0.0 K
% 187.89/188.20  di_tree (  12)           298698     190287     108411   1270.4 K
% 187.89/188.20  avl_node (  20)         1353438    1333446      19992    390.5 K
% 187.89/188.20  
% 187.89/188.20  Memory report, 20 @ 20 = 400 megs (400.00 megs used).
% 187.89/188.20  List   1, length       7,      0.0 K
% 187.89/188.20  List   2, length     298,      2.3 K
% 187.89/188.20  List   3, length    2822,     33.1 K
% 187.89/188.20  List   4, length      10,      0.2 K
% 187.89/188.20  List   8, length     286,      8.9 K
% 187.89/188.20  List  10, length       3,      0.1 K
% 187.89/188.20  List  14, length       1,      0.1 K
% 187.89/188.20  List  16, length      75,      4.7 K
% 187.89/188.20  List  26, length      30,      3.0 K
% 187.89/188.20  List  64, length     163,     40.8 K
% 187.89/188.20  List 202, length       1,      0.8 K
% 187.89/188.20  List 256, length       4,      4.0 K
% 187.89/188.20  
% 187.89/188.20  ============================== SELECTOR REPORT =======================
% 187.89/188.20  Sos_deleted=15046782, Sos_displaced=658343, Sos_size=9996
% 187.89/188.20    SELECTOR       PART   PRIORITY      ORDER       SIZE   SELECTED
% 187.89/188.20           I 2147483647       high        age          0         55
% 187.89/188.20           H          1       high     weight          0          0
% 187.89/188.20           A          1        low        age       9996        916
% 187.89/188.20           F          4        low     weight       7606       3664
% 187.89/188.20           T          4        low     weight       2390       3661
% 187.89/188.20  ============================== end of selector report ================
% 187.89/188.20  
% 187.89/188.20  ============================== end of statistics =====================
% 187.89/188.20  
% 187.89/188.20  Exiting with failure.
% 187.89/188.20  
% 187.89/188.20  Process 14399 exit (max_megs) Mon Jul  4 01:46:44 2022
% 187.89/188.20  Prover9 interrupted
%------------------------------------------------------------------------------