TSTP Solution File: SYN693-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYN693-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n020.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 11:21:55 EDT 2022

% Result   : Unsatisfiable 1.41s 1.72s
% Output   : Refutation 1.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN693-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.14  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.36  % Computer : n020.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 600
% 0.13/0.36  % DateTime : Mon Jul 11 22:13:42 EDT 2022
% 0.13/0.36  % CPUTime  : 
% 1.33/1.64  ============================== Prover9 ===============================
% 1.33/1.64  Prover9 (32) version 2009-11A, November 2009.
% 1.33/1.64  Process 17758 was started by sandbox on n020.cluster.edu,
% 1.33/1.64  Mon Jul 11 22:13:43 2022
% 1.33/1.64  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_17604_n020.cluster.edu".
% 1.33/1.64  ============================== end of head ===========================
% 1.33/1.64  
% 1.33/1.64  ============================== INPUT =================================
% 1.33/1.64  
% 1.33/1.64  % Reading from file /tmp/Prover9_17604_n020.cluster.edu
% 1.33/1.64  
% 1.33/1.64  set(prolog_style_variables).
% 1.33/1.64  set(auto2).
% 1.33/1.64      % set(auto2) -> set(auto).
% 1.33/1.64      % set(auto) -> set(auto_inference).
% 1.33/1.64      % set(auto) -> set(auto_setup).
% 1.33/1.64      % set(auto_setup) -> set(predicate_elim).
% 1.33/1.64      % set(auto_setup) -> assign(eq_defs, unfold).
% 1.33/1.64      % set(auto) -> set(auto_limits).
% 1.33/1.64      % set(auto_limits) -> assign(max_weight, "100.000").
% 1.33/1.64      % set(auto_limits) -> assign(sos_limit, 20000).
% 1.33/1.64      % set(auto) -> set(auto_denials).
% 1.33/1.64      % set(auto) -> set(auto_process).
% 1.33/1.64      % set(auto2) -> assign(new_constants, 1).
% 1.33/1.64      % set(auto2) -> assign(fold_denial_max, 3).
% 1.33/1.64      % set(auto2) -> assign(max_weight, "200.000").
% 1.33/1.64      % set(auto2) -> assign(max_hours, 1).
% 1.33/1.64      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.33/1.64      % set(auto2) -> assign(max_seconds, 0).
% 1.33/1.64      % set(auto2) -> assign(max_minutes, 5).
% 1.33/1.64      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.33/1.64      % set(auto2) -> set(sort_initial_sos).
% 1.33/1.64      % set(auto2) -> assign(sos_limit, -1).
% 1.33/1.64      % set(auto2) -> assign(lrs_ticks, 3000).
% 1.33/1.64      % set(auto2) -> assign(max_megs, 400).
% 1.33/1.64      % set(auto2) -> assign(stats, some).
% 1.33/1.64      % set(auto2) -> clear(echo_input).
% 1.33/1.64      % set(auto2) -> set(quiet).
% 1.33/1.64      % set(auto2) -> clear(print_initial_clauses).
% 1.33/1.64      % set(auto2) -> clear(print_given).
% 1.33/1.64  assign(lrs_ticks,-1).
% 1.33/1.64  assign(sos_limit,10000).
% 1.33/1.64  assign(order,kbo).
% 1.33/1.64  set(lex_order_vars).
% 1.33/1.64  clear(print_given).
% 1.33/1.64  
% 1.33/1.64  % formulas(sos).  % not echoed (69 formulas)
% 1.33/1.64  
% 1.33/1.64  ============================== end of input ==========================
% 1.33/1.64  
% 1.33/1.64  % From the command line: assign(max_seconds, 300).
% 1.33/1.64  
% 1.33/1.64  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.33/1.64  
% 1.33/1.64  % Formulas that are not ordinary clauses:
% 1.33/1.64  
% 1.33/1.64  ============================== end of process non-clausal formulas ===
% 1.33/1.64  
% 1.33/1.64  ============================== PROCESS INITIAL CLAUSES ===============
% 1.33/1.64  
% 1.33/1.64  ============================== PREDICATE ELIMINATION =================
% 1.33/1.64  
% 1.33/1.64  ============================== end predicate elimination =============
% 1.33/1.64  
% 1.33/1.64  Auto_denials:  (non-Horn, no changes).
% 1.33/1.64  
% 1.33/1.64  Term ordering decisions:
% 1.33/1.64  Function symbol KB weights:  c42=1. c43=1. c44=1. c36=1. c34=1. c37=1. c45=1. c46=1. c35=1. c38=1. c39=1. c40=1. c41=1. f11=1. f13=1. f15=1. f22=1. f23=1. f19=1. f4=1. f5=1. f9=1. f20=1. f16=1. f18=1. f24=1. f8=1.
% 1.33/1.64  
% 1.33/1.64  ============================== end of process initial clauses ========
% 1.33/1.64  
% 1.33/1.64  ============================== CLAUSES FOR SEARCH ====================
% 1.33/1.64  
% 1.33/1.64  ============================== end of clauses for search =============
% 1.33/1.64  
% 1.33/1.64  ============================== SEARCH ================================
% 1.33/1.64  
% 1.33/1.64  % Starting search at 0.02 seconds.
% 1.33/1.64  
% 1.33/1.64  Low Water (keep): wt=33.000, iters=3346
% 1.33/1.64  
% 1.33/1.64  Low Water (keep): wt=32.000, iters=3336
% 1.33/1.64  
% 1.33/1.64  Low Water (keep): wt=31.000, iters=3335
% 1.33/1.64  
% 1.33/1.64  Low Water (keep): wt=30.000, iters=3363
% 1.33/1.64  
% 1.33/1.64  Low Water (keep): wt=29.000, iters=3387
% 1.33/1.64  
% 1.33/1.64  Low Water (keep): wt=24.000, iters=3347
% 1.33/1.64  
% 1.33/1.64  Low Water (keep): wt=23.000, iters=3411
% 1.33/1.64  
% 1.33/1.64  Low Water (keep): wt=21.000, iters=3386
% 1.33/1.64  
% 1.33/1.64  Low Water (keep): wt=19.000, iters=3361
% 1.33/1.64  
% 1.33/1.64  Low Water (keep): wt=16.000, iters=3356
% 1.33/1.64  
% 1.33/1.64  Low Water (keep): wt=15.000, iters=3445
% 1.33/1.64  
% 1.33/1.64  NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.54 sec).
% 1.33/1.64  
% 1.33/1.64  Low Water (keep): wt=13.000, iters=4813
% 1.33/1.64  
% 1.33/1.64  Low Water (displace): id=5354, wt=59.000
% 1.33/1.64  
% 1.33/1.64  Low Water (displace): id=5665, wt=55.000
% 1.33/1.64  
% 1.33/1.64  Low Water (displace): id=5350, wt=44.000
% 1.33/1.64  
% 1.33/1.64  Low Water (displace): id=5349, wt=43.000
% 1.33/1.64  
% 1.33/1.64  Low Water (displace): id=5661, wt=42.000
% 1.33/1.64  
% 1.33/1.64  Low Water (displace): id=5660, wt=41.000
% 1.33/1.64  
% 1.33/1.64  Low Water (displace): id=5358, wt=36.000
% 1.33/1.64  
% 1.33/1.64  Low Water (displace): id=5669, wt=34.000
% 1.33/1.64  
% 1.33/1.64  Low Water (displace): id=5351, wt=33.000
% 1.33/1.64  
% 1.33/1.64  Low Water (displace): id=10622, wt=13.000
% 1.33/1.64  
% 1.33/1.64  Low Water (displace): id=10629, wt=12.000
% 1.33/1.64  
% 1.33/1.64  Low Water (displace): id=10631, wt=11.000
% 1.41/1.72  
% 1.41/1.72  ============================== PROOF =================================
% 1.41/1.72  % SZS status Unsatisfiable
% 1.41/1.72  % SZS output start Refutation
% 1.41/1.72  
% 1.41/1.72  % Proof 1 at 0.65 (+ 0.03) seconds.
% 1.41/1.72  % Length of proof is 15.
% 1.41/1.72  % Level of proof is 4.
% 1.41/1.72  % Maximum clause weight is 13.000.
% 1.41/1.72  % Given clauses 659.
% 1.41/1.72  
% 1.41/1.72  7 p10(A,A) # label(p10_7) # label(negated_conjecture).  [assumption].
% 1.41/1.72  12 p2(A,A) # label(p2_12) # label(negated_conjecture).  [assumption].
% 1.41/1.72  16 p2(c44,c46) # label(p2_16) # label(negated_conjecture).  [assumption].
% 1.41/1.72  25 p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)) # label(p2_52) # label(negated_conjecture).  [assumption].
% 1.41/1.72  27 -p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)) # label(not_p2_53) # label(negated_conjecture).  [assumption].
% 1.41/1.72  40 p3(f4(A),f4(B)) | -p2(A,B) # label(p3_34) # label(negated_conjecture).  [assumption].
% 1.41/1.72  46 p2(A,B) | -p2(C,A) | -p2(C,B) # label(p2_40) # label(negated_conjecture).  [assumption].
% 1.41/1.72  60 p2(f11(A,B),f11(C,D)) | -p10(B,D) | -p3(A,C) # label(p2_58) # label(negated_conjecture).  [assumption].
% 1.41/1.72  96 p3(f4(c44),f4(c46)).  [resolve(40,b,16,a)].
% 1.41/1.72  112 p2(A,B) | -p2(B,A).  [resolve(46,c,12,a)].
% 1.41/1.72  113 -p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c46),c43)).  [ur(46,a,27,a,c,12,a)].
% 1.41/1.72  218 p2(f11(f4(c44),A),f11(f4(c46),B)) | -p10(A,B).  [resolve(96,a,60,c)].
% 1.41/1.72  353 p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)).  [resolve(112,b,25,a)].
% 1.41/1.72  10050 p2(f11(f4(c44),A),f11(f4(c46),A)).  [resolve(218,b,7,a)].
% 1.41/1.72  12458 $F.  [ur(46,a,113,a,c,10050,a),unit_del(a,353)].
% 1.41/1.72  
% 1.41/1.72  % SZS output end Refutation
% 1.41/1.72  ============================== end of proof ==========================
% 1.41/1.72  
% 1.41/1.72  ============================== STATISTICS ============================
% 1.41/1.72  
% 1.41/1.72  Given=659. Generated=23659. Kept=12457. proofs=1.
% 1.41/1.72  Usable=659. Sos=9999. Demods=0. Limbo=18, Disabled=1850. Hints=0.
% 1.41/1.72  Megabytes=10.46.
% 1.41/1.72  User_CPU=0.65, System_CPU=0.03, Wall_clock=1.
% 1.41/1.72  
% 1.41/1.72  ============================== end of statistics =====================
% 1.41/1.72  
% 1.41/1.72  ============================== end of search =========================
% 1.41/1.72  
% 1.41/1.72  THEOREM PROVED
% 1.41/1.72  % SZS status Unsatisfiable
% 1.41/1.72  
% 1.41/1.72  Exiting with 1 proof.
% 1.41/1.72  
% 1.41/1.72  Process 17758 exit (max_proofs) Mon Jul 11 22:13:44 2022
% 1.41/1.72  Prover9 interrupted
%------------------------------------------------------------------------------