TSTP Solution File: SYN628-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYN628-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n029.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 : Thu Jul 21 11:21:31 EDT 2022

% Result   : Unsatisfiable 0.82s 1.08s
% Output   : Refutation 21.95s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN628-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.34  % Computer : n029.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 : Tue Jul 12 00:47:02 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.44/1.01  
% 0.44/1.01  WARNING: denials share constants (see output).
% 0.44/1.01  
% 0.82/1.08  ============================== Prover9 ===============================
% 0.82/1.08  Prover9 (32) version 2009-11A, November 2009.
% 0.82/1.08  Process 16062 was started by sandbox2 on n029.cluster.edu,
% 0.82/1.08  Tue Jul 12 00:47:03 2022
% 0.82/1.08  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_15772_n029.cluster.edu".
% 0.82/1.08  ============================== end of head ===========================
% 0.82/1.08  
% 0.82/1.08  ============================== INPUT =================================
% 0.82/1.08  
% 0.82/1.08  % Reading from file /tmp/Prover9_15772_n029.cluster.edu
% 0.82/1.08  
% 0.82/1.08  set(prolog_style_variables).
% 0.82/1.08  set(auto2).
% 0.82/1.08      % set(auto2) -> set(auto).
% 0.82/1.08      % set(auto) -> set(auto_inference).
% 0.82/1.08      % set(auto) -> set(auto_setup).
% 0.82/1.08      % set(auto_setup) -> set(predicate_elim).
% 0.82/1.08      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.82/1.08      % set(auto) -> set(auto_limits).
% 0.82/1.08      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.82/1.08      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.82/1.08      % set(auto) -> set(auto_denials).
% 0.82/1.08      % set(auto) -> set(auto_process).
% 0.82/1.08      % set(auto2) -> assign(new_constants, 1).
% 0.82/1.08      % set(auto2) -> assign(fold_denial_max, 3).
% 0.82/1.08      % set(auto2) -> assign(max_weight, "200.000").
% 0.82/1.08      % set(auto2) -> assign(max_hours, 1).
% 0.82/1.08      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.82/1.08      % set(auto2) -> assign(max_seconds, 0).
% 0.82/1.08      % set(auto2) -> assign(max_minutes, 5).
% 0.82/1.08      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.82/1.08      % set(auto2) -> set(sort_initial_sos).
% 0.82/1.08      % set(auto2) -> assign(sos_limit, -1).
% 0.82/1.08      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.82/1.08      % set(auto2) -> assign(max_megs, 400).
% 0.82/1.08      % set(auto2) -> assign(stats, some).
% 0.82/1.08      % set(auto2) -> clear(echo_input).
% 0.82/1.08      % set(auto2) -> set(quiet).
% 0.82/1.08      % set(auto2) -> clear(print_initial_clauses).
% 0.82/1.08      % set(auto2) -> clear(print_given).
% 0.82/1.08  assign(lrs_ticks,-1).
% 0.82/1.08  assign(sos_limit,10000).
% 0.82/1.08  assign(order,kbo).
% 0.82/1.08  set(lex_order_vars).
% 0.82/1.08  clear(print_given).
% 0.82/1.08  
% 0.82/1.08  % formulas(sos).  % not echoed (36 formulas)
% 0.82/1.08  
% 0.82/1.08  ============================== end of input ==========================
% 0.82/1.08  
% 0.82/1.08  % From the command line: assign(max_seconds, 300).
% 0.82/1.08  
% 0.82/1.08  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.82/1.08  
% 0.82/1.08  % Formulas that are not ordinary clauses:
% 0.82/1.08  
% 0.82/1.08  ============================== end of process non-clausal formulas ===
% 0.82/1.08  
% 0.82/1.08  ============================== PROCESS INITIAL CLAUSES ===============
% 0.82/1.08  
% 0.82/1.08  ============================== PREDICATE ELIMINATION =================
% 0.82/1.08  
% 0.82/1.08  ============================== end predicate elimination =============
% 0.82/1.08  
% 0.82/1.08  Auto_denials:
% 0.82/1.08    % copying label not_p21_33 to answer in negative clause
% 0.82/1.08    % copying label not_p20_35 to answer in negative clause
% 0.82/1.08    % assign(max_proofs, 2).  % (Horn set with more than one neg. clause)
% 0.82/1.08  
% 0.82/1.08  WARNING, because some of the denials share constants,
% 0.82/1.08  some of the denials or their descendents may be subsumed,
% 0.82/1.08  preventing the target number of proofs from being found.
% 0.82/1.08  The shared constants are:  c22, c25, c24, c23.
% 0.82/1.08  
% 0.82/1.08  Term ordering decisions:
% 0.82/1.08  Function symbol KB weights:  c23=1. c24=1. c25=1. c28=1. c22=1. c27=1. c26=1. c29=1. f7=1. f8=1. f15=1. f10=1. f17=1. f18=1. f4=1. f11=1. f12=1. f13=1. f14=1. f16=1.
% 0.82/1.08  
% 0.82/1.08  ============================== end of process initial clauses ========
% 0.82/1.08  
% 0.82/1.08  ============================== CLAUSES FOR SEARCH ====================
% 0.82/1.08  
% 0.82/1.08  ============================== end of clauses for search =============
% 0.82/1.08  
% 0.82/1.08  ============================== SEARCH ================================
% 0.82/1.08  
% 0.82/1.08  % Starting search at 0.02 seconds.
% 0.82/1.08  
% 0.82/1.08  ============================== PROOF =================================
% 0.82/1.08  % SZS status Unsatisfiable
% 0.82/1.08  % SZS output start Refutation
% 0.82/1.08  
% 0.82/1.08  % Proof 1 at 0.08 (+ 0.00) seconds: not_p20_35.
% 0.82/1.08  % Length of proof is 16.
% 0.82/1.08  % Level of proof is 3.
% 0.82/1.08  % Maximum clause weight is 24.000.
% 0.82/1.08  % Given clauses 82.
% 0.82/1.08  
% 0.82/1.08  1 p2(A,A) # label(p2_1) # label(negated_conjecture).  [assumption].
% 0.82/1.08  2 p9(A,A) # label(p9_2) # label(negated_conjecture).  [assumption].
% 0.82/1.08  6 p9(c28,c22) # label(p9_6) # label(negated_conjecture).  [assumption].
% 0.82/1.08  13 p20(f16(f17(c28,c27)),f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29)))))) # label(p20_34) # label(negated_conjecture).  [assumption].
% 0.82/1.08  16 -p20(f16(f17(c22,c27)),f10(f15(f7(c23,f8(c24,c25)),c22),f11(f12(f13(f14(c29)))))) # label(not_p20_35) # label(negated_conjecture) # answer(not_p20_35).  [assumption].
% 21.95/22.25  17 p9(f16(A),f16(B)) | -p9(A,B) # label(p9_13) # label(negated_conjecture).  [assumption].
% 21.95/22.25  30 p20(A,B) | -p9(C,A) | -p9(D,B) | -p20(C,D) # label(p20_26) # label(negated_conjecture).  [assumption].
% 21.95/22.25  33 p9(f17(A,B),f17(C,D)) | -p9(A,C) | -p9(B,D) # label(p9_29) # label(negated_conjecture).  [assumption].
% 21.95/22.25  34 p9(f15(A,B),f15(C,D)) | -p2(A,C) | -p9(B,D) # label(p9_30) # label(negated_conjecture).  [assumption].
% 21.95/22.25  35 p9(f10(A,B),f10(C,D)) | -p9(A,C) | -p9(B,D) # label(p9_31) # label(negated_conjecture).  [assumption].
% 21.95/22.25  45 -p9(A,f16(f17(c22,c27))) | -p9(B,f10(f15(f7(c23,f8(c24,c25)),c22),f11(f12(f13(f14(c29)))))) | -p20(A,B) # answer(not_p20_35).  [resolve(30,a,16,a)].
% 21.95/22.25  52 p9(f17(c28,A),f17(c22,A)).  [ur(33,b,6,a,c,2,a)].
% 21.95/22.25  54 p9(f15(A,c28),f15(A,c22)).  [ur(34,b,1,a,c,6,a)].
% 21.95/22.25  436 p9(f16(f17(c28,A)),f16(f17(c22,A))).  [ur(17,b,52,a)].
% 21.95/22.25  564 p9(f10(f15(A,c28),B),f10(f15(A,c22),B)).  [ur(35,b,54,a,c,2,a)].
% 21.95/22.25  1234 $F # answer(not_p20_35).  [resolve(45,c,13,a),unit_del(a,436),unit_del(b,564)].
% 21.95/22.25  
% 21.95/22.25  % SZS output end Refutation
% 21.95/22.25  ============================== end of proof ==========================
% 21.95/22.25  
% 21.95/22.25  % Disable descendants (x means already disabled):
% 21.95/22.25   16 45 1222 1223 1224 1225 1226 1227 1228 1229
% 21.95/22.25   1230 1231 1232 1233 1235 1236
% 21.95/22.25  
% 21.95/22.25  Low Water (keep): wt=15.000, iters=3490
% 21.95/22.25  
% 21.95/22.25  NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 69 (0.00 of 1.17 sec).
% 21.95/22.25  
% 21.95/22.25  Low Water (displace): id=7552, wt=35.000
% 21.95/22.25  
% 21.95/22.25  Low Water (displace): id=7682, wt=32.000
% 21.95/22.25  
% 21.95/22.25  Low Water (displace): id=7720, wt=29.000
% 21.95/22.25  
% 21.95/22.25  Low Water (displace): id=10820, wt=15.000
% 21.95/22.25  
% 21.95/22.25  Low Water (displace): id=396795, wt=14.000
% 21.95/22.25  
% 21.95/22.25  Low Water (displace): id=432920, wt=13.000
% 21.95/22.25  
% 21.95/22.25  ============================== STATISTICS ============================
% 21.95/22.25  
% 21.95/22.25  Given=1269. Generated=1286875. Kept=538289. proofs=1.
% 21.95/22.25  Usable=1233. Sos=9999. Demods=0. Limbo=750, Disabled=526343. Hints=0.
% 21.95/22.25  Kept_by_rule=0, Deleted_by_rule=0.
% 21.95/22.25  Forward_subsumed=11022. Back_subsumed=134.
% 21.95/22.25  Sos_limit_deleted=737563. Sos_displaced=526157. Sos_removed=0.
% 21.95/22.25  New_demodulators=0 (0 lex), Back_demodulated=0. Back_unit_deleted=0.
% 21.95/22.25  Demod_attempts=0. Demod_rewrites=0.
% 21.95/22.25  Res_instance_prunes=0. Para_instance_prunes=0. Basic_paramod_prunes=0.
% 21.95/22.25  Nonunit_fsub_feature_tests=998513. Nonunit_bsub_feature_tests=394382.
% 21.95/22.25  Megabytes=419.43.
% 21.95/22.25  User_CPU=20.45, System_CPU=0.80, Wall_clock=21.
% 21.95/22.25  
% 21.95/22.25  Megs malloced by palloc(): 400.
% 21.95/22.25    type (bytes each)        gets      frees     in use      bytes
% 21.95/22.25  chunk ( 104)                735        735          0      0.0 K
% 21.95/22.25  string_buf (   8)           717        717          0      0.0 K
% 21.95/22.25  token (  20)               1472       1472          0      0.0 K
% 21.95/22.25  pterm (  16)                983        983          0      0.0 K
% 21.95/22.25  hashtab (   8)                0          0          0      0.0 K
% 21.95/22.25  hashnode (   8)               0          0          0      0.0 K
% 21.95/22.25  term (  20)            25225894   14272049   10953845 213942.3 K
% 21.95/22.25        term arg arrays:                                 46701.9 K
% 21.95/22.25  attribute (  12)          69061      60339       8722    102.2 K
% 21.95/22.25  ilist (   8)          216004691  212264025    3740666  29224.0 K
% 21.95/22.25  plist (   8)           13398794   12847951     550843   4303.5 K
% 21.95/22.25  i2list (  12)             46776      46776          0      0.0 K
% 21.95/22.25  just (  12)             1287110     748762     538348   6308.8 K
% 21.95/22.25  parajust (  16)               0          0          0      0.0 K
% 21.95/22.25  instancejust (   8)           0          0          0      0.0 K
% 21.95/22.25  ivyjust (  24)                0          0          0      0.0 K
% 21.95/22.25  formula (  28)              173        173          0      0.0 K
% 21.95/22.25      formula arg arrays:                                    0.0 K
% 21.95/22.25  topform (  52)          1286912     748585     538327  27336.9 K
% 21.95/22.25  clist_pos (  20)        1603550    1065225     538325  10514.2 K
% 21.95/22.25  clist (  16)                  8          1          7      0.1 K
% 21.95/22.25  context ( 808)          5882688    5882685          3      2.4 K
% 21.95/22.25  trail (  12)            9509714    9509710          4      0.0 K
% 21.95/22.25  ac_match_pos (70044)          0          0          0      0.0 K
% 21.95/22.25  ac_match_free_vars_pos (20020)
% 21.95/22.25                                0          0          0      0.0 K
% 21.95/22.25  btm_state (  60)              0          0          0      0.0 K
% 22.00/22.25  btu_state (  60)              0          0          0      0.0 K
% 22.00/22.25  ac_position (285432)          0          0          0      0.0 K
% 22.00/22.25  fpa_trie (  20)         3888744    3880743       8001    156.3 K
% 22.00/22.25  fpa_state (  28)        4446163    4446034        129      3.5 K
% 22.00/22.25  fpa_index (  12)             10          0         10      0.1 K
% 22.00/22.25  fpa_chunk (  20)        4846028    4833297      12731    248.7 K
% 22.00/22.25  fpa_list (  16)         3884448          0    3884448  60694.5 K
% 22.00/22.25        fpa_list chunks:                                  1303.6 K
% 22.00/22.25  discrim (  12)          8097822    8063038      34784    407.6 K
% 22.00/22.25  discrim_pos (  16)         9077       9077          0      0.0 K
% 22.00/22.25  flat2 (  32)           11238557   11238557          0      0.0 K
% 22.00/22.25  flat (  48)                   0          0          0      0.0 K
% 22.00/22.25  flatterm (  32)               0          0          0      0.0 K
% 22.00/22.25  mindex (  28)                13          0         13      0.4 K
% 22.00/22.25  mindex_pos (  56)       4190980    4190978          2      0.1 K
% 22.00/22.25  lindex (  12)                 5          0          5      0.1 K
% 22.00/22.25  clash (  40)             717820     717817          3      0.1 K
% 22.00/22.25  di_tree (  12)            58695       4709      53986    632.6 K
% 22.00/22.25  avl_node (  20)         1075042    1055044      19998    390.6 K
% 22.00/22.25  
% 22.00/22.25  Memory report, 20 @ 20 = 400 megs (400.00 megs used).
% 22.00/22.25  List   1, length      41,      0.2 K
% 22.00/22.25  List   2, length      95,      0.7 K
% 22.00/22.25  List   3, length   43249,    506.8 K
% 22.00/22.25  List   8, length     522,     16.3 K
% 22.00/22.25  List  10, length       4,      0.2 K
% 22.00/22.25  List  14, length       4,      0.2 K
% 22.00/22.25  List  16, length    1567,     97.9 K
% 22.00/22.25  List  26, length      29,      2.9 K
% 22.00/22.25  List  32, length    1024,    128.0 K
% 22.00/22.25  List  64, length       1,      0.2 K
% 22.00/22.25  List 202, length       4,      3.2 K
% 22.00/22.25  
% 22.00/22.25  ============================== SELECTOR REPORT =======================
% 22.00/22.25  Sos_deleted=737563, Sos_displaced=526157, Sos_size=9999
% 22.00/22.25    SELECTOR       PART   PRIORITY      ORDER       SIZE   SELECTED
% 22.00/22.25           I 2147483647       high        age          0         36
% 22.00/22.25           H          1       high     weight          0          0
% 22.00/22.25           A          1        low        age       9999        137
% 22.00/22.25           F          4        low     weight       7625        548
% 22.00/22.25           T          4        low     weight       2374        548
% 22.00/22.25  ============================== end of selector report ================
% 22.00/22.25  
% 22.00/22.25  ============================== end of statistics =====================
% 22.00/22.25  
% 22.00/22.25  Exiting with 1 proof.
% 22.00/22.25  
% 22.00/22.25  Process 16062 exit (max_megs) Tue Jul 12 00:47:24 2022
% 22.00/22.25  Prover9 interrupted
%------------------------------------------------------------------------------