TSTP Solution File: SYN695-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYN695-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : Thu Jul 21 11:21:56 EDT 2022

% Result   : Unsatisfiable 1.39s 1.73s
% Output   : Refutation 1.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN695-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.11/0.33  % Computer : n013.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Tue Jul 12 03:23:14 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 1.39/1.73  ============================== Prover9 ===============================
% 1.39/1.73  Prover9 (32) version 2009-11A, November 2009.
% 1.39/1.73  Process 28105 was started by sandbox on n013.cluster.edu,
% 1.39/1.73  Tue Jul 12 03:23:15 2022
% 1.39/1.73  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_27951_n013.cluster.edu".
% 1.39/1.73  ============================== end of head ===========================
% 1.39/1.73  
% 1.39/1.73  ============================== INPUT =================================
% 1.39/1.73  
% 1.39/1.73  % Reading from file /tmp/Prover9_27951_n013.cluster.edu
% 1.39/1.73  
% 1.39/1.73  set(prolog_style_variables).
% 1.39/1.73  set(auto2).
% 1.39/1.73      % set(auto2) -> set(auto).
% 1.39/1.73      % set(auto) -> set(auto_inference).
% 1.39/1.73      % set(auto) -> set(auto_setup).
% 1.39/1.73      % set(auto_setup) -> set(predicate_elim).
% 1.39/1.73      % set(auto_setup) -> assign(eq_defs, unfold).
% 1.39/1.73      % set(auto) -> set(auto_limits).
% 1.39/1.73      % set(auto_limits) -> assign(max_weight, "100.000").
% 1.39/1.73      % set(auto_limits) -> assign(sos_limit, 20000).
% 1.39/1.73      % set(auto) -> set(auto_denials).
% 1.39/1.73      % set(auto) -> set(auto_process).
% 1.39/1.73      % set(auto2) -> assign(new_constants, 1).
% 1.39/1.73      % set(auto2) -> assign(fold_denial_max, 3).
% 1.39/1.73      % set(auto2) -> assign(max_weight, "200.000").
% 1.39/1.73      % set(auto2) -> assign(max_hours, 1).
% 1.39/1.73      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.39/1.73      % set(auto2) -> assign(max_seconds, 0).
% 1.39/1.73      % set(auto2) -> assign(max_minutes, 5).
% 1.39/1.73      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.39/1.73      % set(auto2) -> set(sort_initial_sos).
% 1.39/1.73      % set(auto2) -> assign(sos_limit, -1).
% 1.39/1.73      % set(auto2) -> assign(lrs_ticks, 3000).
% 1.39/1.73      % set(auto2) -> assign(max_megs, 400).
% 1.39/1.73      % set(auto2) -> assign(stats, some).
% 1.39/1.73      % set(auto2) -> clear(echo_input).
% 1.39/1.73      % set(auto2) -> set(quiet).
% 1.39/1.73      % set(auto2) -> clear(print_initial_clauses).
% 1.39/1.73      % set(auto2) -> clear(print_given).
% 1.39/1.73  assign(lrs_ticks,-1).
% 1.39/1.73  assign(sos_limit,10000).
% 1.39/1.73  assign(order,kbo).
% 1.39/1.73  set(lex_order_vars).
% 1.39/1.73  clear(print_given).
% 1.39/1.73  
% 1.39/1.73  % formulas(sos).  % not echoed (73 formulas)
% 1.39/1.73  
% 1.39/1.73  ============================== end of input ==========================
% 1.39/1.73  
% 1.39/1.73  % From the command line: assign(max_seconds, 300).
% 1.39/1.73  
% 1.39/1.73  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.39/1.73  
% 1.39/1.73  % Formulas that are not ordinary clauses:
% 1.39/1.73  
% 1.39/1.73  ============================== end of process non-clausal formulas ===
% 1.39/1.73  
% 1.39/1.73  ============================== PROCESS INITIAL CLAUSES ===============
% 1.39/1.73  
% 1.39/1.73  ============================== PREDICATE ELIMINATION =================
% 1.39/1.73  
% 1.39/1.73  ============================== end predicate elimination =============
% 1.39/1.73  
% 1.39/1.73  Auto_denials:  (non-Horn, no changes).
% 1.39/1.73  
% 1.39/1.73  Term ordering decisions:
% 1.39/1.73  Function symbol KB weights:  c42=1. c43=1. c44=1. c36=1. c37=1. c34=1. c47=1. c46=1. c45=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.
% 1.39/1.73  
% 1.39/1.73  ============================== end of process initial clauses ========
% 1.39/1.73  
% 1.39/1.73  ============================== CLAUSES FOR SEARCH ====================
% 1.39/1.73  
% 1.39/1.73  ============================== end of clauses for search =============
% 1.39/1.73  
% 1.39/1.73  ============================== SEARCH ================================
% 1.39/1.73  
% 1.39/1.73  % Starting search at 0.02 seconds.
% 1.39/1.73  
% 1.39/1.73  Low Water (keep): wt=21.000, iters=3762
% 1.39/1.73  
% 1.39/1.73  Low Water (keep): wt=19.000, iters=3334
% 1.39/1.73  
% 1.39/1.73  Low Water (keep): wt=17.000, iters=3394
% 1.39/1.73  
% 1.39/1.73  Low Water (keep): wt=16.000, iters=3448
% 1.39/1.73  
% 1.39/1.73  Low Water (keep): wt=15.000, iters=3382
% 1.39/1.73  
% 1.39/1.73  NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.49 sec).
% 1.39/1.73  
% 1.39/1.73  Low Water (keep): wt=13.000, iters=5558
% 1.39/1.73  
% 1.39/1.73  Low Water (displace): id=5760, wt=59.000
% 1.39/1.73  
% 1.39/1.73  Low Water (displace): id=5616, wt=55.000
% 1.39/1.73  
% 1.39/1.73  Low Water (displace): id=5755, wt=44.000
% 1.39/1.73  
% 1.39/1.73  Low Water (displace): id=5754, wt=43.000
% 1.39/1.73  
% 1.39/1.73  Low Water (displace): id=5611, wt=42.000
% 1.39/1.73  
% 1.39/1.73  Low Water (displace): id=5610, wt=41.000
% 1.39/1.73  
% 1.39/1.73  Low Water (displace): id=5764, wt=36.000
% 1.39/1.73  
% 1.39/1.73  Low Water (displace): id=5620, wt=34.000
% 1.39/1.73  
% 1.39/1.73  Low Water (displace): id=5757, wt=33.000
% 1.39/1.73  
% 1.39/1.73  Low Water (displace): id=10681, wt=13.000
% 1.39/1.73  
% 1.39/1.73  Low Water (displace): id=10688, wt=12.000
% 1.39/1.73  
% 1.39/1.73  Low Water (displace): id=10690, wt=11.000
% 1.39/1.73  
% 1.39/1.73  Low Water (displace): id=11055, wt=9.000
% 1.39/1.73  
% 1.39/1.73  ============================== PROOF =================================
% 1.39/1.73  % SZS status Unsatisfiable
% 1.39/1.73  % SZS output start Refutation
% 1.39/1.73  
% 1.39/1.73  % Proof 1 at 0.65 (+ 0.02) seconds.
% 1.39/1.73  % Length of proof is 25.
% 1.39/1.73  % Level of proof is 6.
% 1.39/1.73  % Maximum clause weight is 16.000.
% 1.39/1.73  % Given clauses 705.
% 1.39/1.73  
% 1.39/1.73  7 p10(A,A) # label(p10_7) # label(negated_conjecture).  [assumption].
% 1.39/1.73  10 p3(A,A) # label(p3_10) # label(negated_conjecture).  [assumption].
% 1.39/1.73  12 p2(A,A) # label(p2_12) # label(negated_conjecture).  [assumption].
% 1.39/1.73  16 p10(c43,c47) # label(p10_16) # label(negated_conjecture).  [assumption].
% 1.39/1.73  18 p2(c44,c45) # label(p2_18) # label(negated_conjecture).  [assumption].
% 1.39/1.73  27 p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)) # label(p2_54) # label(negated_conjecture).  [assumption].
% 1.39/1.73  29 -p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)) # label(not_p2_55) # label(negated_conjecture).  [assumption].
% 1.39/1.73  38 p3(f4(A),f4(B)) | -p2(A,B) # label(p3_30) # label(negated_conjecture).  [assumption].
% 1.39/1.73  44 p10(A,B) | -p10(C,A) | -p10(C,B) # label(p10_36) # label(negated_conjecture).  [assumption].
% 1.39/1.73  49 p2(A,B) | -p2(C,A) | -p2(C,B) # label(p2_41) # label(negated_conjecture).  [assumption].
% 1.39/1.73  63 p2(f11(A,B),f11(C,D)) | -p10(B,D) | -p3(A,C) # label(p2_61) # label(negated_conjecture).  [assumption].
% 1.39/1.73  84 p3(f4(c44),f4(c45)).  [resolve(38,b,18,a)].
% 1.39/1.73  101 p10(c47,A) | -p10(c43,A).  [resolve(44,b,16,a)].
% 1.39/1.73  111 p2(f11(f4(c44),c43),A) | -p2(f11(f4(f23(c44,f9(f20(c37)))),c43),A).  [resolve(49,b,27,a)].
% 1.39/1.73  120 -p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c45),c43)).  [ur(49,a,29,a,c,12,a)].
% 1.39/1.73  156 p2(f11(A,B),f11(A,C)) | -p10(B,C).  [resolve(63,c,10,a)].
% 1.39/1.73  177 p2(f11(f4(c44),A),f11(f4(c45),B)) | -p10(A,B).  [resolve(84,a,63,c)].
% 1.39/1.73  236 p10(c47,c43).  [resolve(101,b,7,a)].
% 1.39/1.73  4759 p2(f11(A,c47),f11(A,c43)).  [resolve(156,b,236,a)].
% 1.39/1.73  4760 p2(f11(A,c43),f11(A,c47)).  [resolve(156,b,16,a)].
% 1.39/1.73  4798 -p2(f11(f4(c45),c47),f11(f4(f23(c44,f9(f20(c37)))),c43)).  [ur(49,a,120,a,c,4759,a)].
% 1.39/1.73  4815 p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c47)).  [resolve(4760,a,111,b)].
% 1.39/1.73  4880 -p2(f11(f4(f23(c44,f9(f20(c37)))),c47),f11(f4(c45),c47)).  [ur(49,a,4798,a,c,4759,a)].
% 1.39/1.73  6106 p2(f11(f4(c44),c43),f11(f4(c45),c47)).  [resolve(177,b,16,a)].
% 1.39/1.73  13899 $F.  [ur(49,a,4880,a,c,6106,a),unit_del(a,4815)].
% 1.39/1.73  
% 1.39/1.73  % SZS output end Refutation
% 1.39/1.73  ============================== end of proof ==========================
% 1.39/1.73  
% 1.39/1.73  ============================== STATISTICS ============================
% 1.39/1.73  
% 1.39/1.73  Given=705. Generated=24445. Kept=13898. proofs=1.
% 1.39/1.73  Usable=705. Sos=9999. Demods=0. Limbo=7, Disabled=3260. Hints=0.
% 1.39/1.73  Megabytes=11.12.
% 1.39/1.73  User_CPU=0.65, System_CPU=0.02, Wall_clock=1.
% 1.39/1.73  
% 1.39/1.73  ============================== end of statistics =====================
% 1.39/1.73  
% 1.39/1.73  ============================== end of search =========================
% 1.39/1.73  
% 1.39/1.73  THEOREM PROVED
% 1.39/1.73  % SZS status Unsatisfiable
% 1.39/1.73  
% 1.39/1.73  Exiting with 1 proof.
% 1.39/1.73  
% 1.39/1.73  Process 28105 exit (max_proofs) Tue Jul 12 03:23:16 2022
% 1.39/1.73  Prover9 interrupted
%------------------------------------------------------------------------------