TSTP Solution File: PUZ047-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : PUZ047-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n024.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 : Mon Jul 18 18:23:55 EDT 2022

% Result   : Unsatisfiable 0.68s 0.97s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : PUZ047-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat May 28 20:30:51 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.68/0.97  ============================== Prover9 ===============================
% 0.68/0.97  Prover9 (32) version 2009-11A, November 2009.
% 0.68/0.97  Process 2387 was started by sandbox on n024.cluster.edu,
% 0.68/0.97  Sat May 28 20:30:52 2022
% 0.68/0.97  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_2019_n024.cluster.edu".
% 0.68/0.97  ============================== end of head ===========================
% 0.68/0.97  
% 0.68/0.97  ============================== INPUT =================================
% 0.68/0.97  
% 0.68/0.97  % Reading from file /tmp/Prover9_2019_n024.cluster.edu
% 0.68/0.97  
% 0.68/0.97  set(prolog_style_variables).
% 0.68/0.97  set(auto2).
% 0.68/0.97      % set(auto2) -> set(auto).
% 0.68/0.97      % set(auto) -> set(auto_inference).
% 0.68/0.97      % set(auto) -> set(auto_setup).
% 0.68/0.97      % set(auto_setup) -> set(predicate_elim).
% 0.68/0.97      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.68/0.97      % set(auto) -> set(auto_limits).
% 0.68/0.97      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.68/0.97      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.68/0.97      % set(auto) -> set(auto_denials).
% 0.68/0.97      % set(auto) -> set(auto_process).
% 0.68/0.97      % set(auto2) -> assign(new_constants, 1).
% 0.68/0.97      % set(auto2) -> assign(fold_denial_max, 3).
% 0.68/0.97      % set(auto2) -> assign(max_weight, "200.000").
% 0.68/0.97      % set(auto2) -> assign(max_hours, 1).
% 0.68/0.97      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.68/0.97      % set(auto2) -> assign(max_seconds, 0).
% 0.68/0.97      % set(auto2) -> assign(max_minutes, 5).
% 0.68/0.97      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.68/0.97      % set(auto2) -> set(sort_initial_sos).
% 0.68/0.97      % set(auto2) -> assign(sos_limit, -1).
% 0.68/0.97      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.68/0.97      % set(auto2) -> assign(max_megs, 400).
% 0.68/0.97      % set(auto2) -> assign(stats, some).
% 0.68/0.97      % set(auto2) -> clear(echo_input).
% 0.68/0.97      % set(auto2) -> set(quiet).
% 0.68/0.97      % set(auto2) -> clear(print_initial_clauses).
% 0.68/0.97      % set(auto2) -> clear(print_given).
% 0.68/0.97  assign(lrs_ticks,-1).
% 0.68/0.97  assign(sos_limit,10000).
% 0.68/0.97  assign(order,kbo).
% 0.68/0.97  set(lex_order_vars).
% 0.68/0.97  clear(print_given).
% 0.68/0.97  
% 0.68/0.97  % formulas(sos).  % not echoed (16 formulas)
% 0.68/0.97  
% 0.68/0.97  ============================== end of input ==========================
% 0.68/0.97  
% 0.68/0.97  % From the command line: assign(max_seconds, 300).
% 0.68/0.97  
% 0.68/0.97  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.68/0.97  
% 0.68/0.97  % Formulas that are not ordinary clauses:
% 0.68/0.97  
% 0.68/0.97  ============================== end of process non-clausal formulas ===
% 0.68/0.97  
% 0.68/0.97  ============================== PROCESS INITIAL CLAUSES ===============
% 0.68/0.97  
% 0.68/0.97  ============================== PREDICATE ELIMINATION =================
% 0.68/0.97  
% 0.68/0.97  ============================== end predicate elimination =============
% 0.68/0.97  
% 0.68/0.97  Auto_denials:
% 0.68/0.97    % copying label thm100_16 to answer in negative clause
% 0.68/0.97  
% 0.68/0.97  Term ordering decisions:
% 0.68/0.97  Function symbol KB weights:  south=1. north=1. start=1. go_alone=1. take_cabbage=1. take_wolf=1. take_goat=1.
% 0.68/0.97  
% 0.68/0.97  ============================== end of process initial clauses ========
% 0.68/0.97  
% 0.68/0.97  ============================== CLAUSES FOR SEARCH ====================
% 0.68/0.97  
% 0.68/0.97  ============================== end of clauses for search =============
% 0.68/0.97  
% 0.68/0.97  ============================== SEARCH ================================
% 0.68/0.97  
% 0.68/0.97  % Starting search at 0.01 seconds.
% 0.68/0.97  
% 0.68/0.97  ============================== PROOF =================================
% 0.68/0.97  % SZS status Unsatisfiable
% 0.68/0.97  % SZS output start Refutation
% 0.68/0.97  
% 0.68/0.97  % Proof 1 at 0.01 (+ 0.00) seconds: thm100_16.
% 0.68/0.97  % Length of proof is 16.
% 0.68/0.97  % Level of proof is 6.
% 0.68/0.97  % Maximum clause weight is 13.000.
% 0.68/0.97  % Given clauses 22.
% 0.68/0.97  
% 0.68/0.97  1 p(south,south,south,south,start) # label(thm100_1) # label(negated_conjecture).  [assumption].
% 0.68/0.97  2 -p(north,north,north,north,A) # label(thm100_16) # label(negated_conjecture) # answer(thm100_16).  [assumption].
% 0.68/0.97  4 p(south,north,south,north,go_alone(A)) | -p(north,north,south,north,A) # label(thm100_3) # label(negated_conjecture).  [assumption].
% 0.68/0.97  6 p(south,south,north,south,go_alone(A)) | -p(north,south,north,south,A) # label(thm100_5) # label(negated_conjecture).  [assumption].
% 0.68/0.97  9 p(north,north,north,south,take_wolf(A)) | -p(south,south,north,south,A) # label(thm100_8) # label(negated_conjecture).  [assumption].
% 0.68/0.97  11 p(north,A,north,B,take_goat(C)) | -p(south,A,south,B,C) # label(thm100_10) # label(negated_conjecture).  [assumption].
% 0.68/0.97  12 p(south,A,south,B,take_goat(C)) | -p(north,A,north,B,C) # label(thm100_11) # label(negated_conjecture).  [assumption].
% 0.68/0.97  13 p(north,north,south,north,take_cabbage(A)) | -p(south,north,south,south,A) # label(thm100_12) # label(negated_conjecture).  [assumption].
% 0.68/0.97  17 -p(south,north,south,north,A) # answer(thm100_16).  [resolve(11,a,2,a)].
% 0.68/0.97  18 p(north,south,north,south,take_goat(start)).  [ur(11,b,1,a)].
% 0.68/0.97  19 -p(north,north,south,north,A) # answer(thm100_16).  [resolve(17,a,4,a)].
% 0.68/0.97  20 -p(south,north,south,south,A) # answer(thm100_16).  [resolve(19,a,13,a)].
% 0.68/0.97  22 -p(north,north,north,south,A) # answer(thm100_16).  [resolve(20,a,12,a)].
% 0.68/0.97  24 -p(south,south,north,south,A) # answer(thm100_16).  [resolve(22,a,9,a)].
% 0.68/0.97  26 p(south,south,north,south,go_alone(take_goat(start))).  [ur(6,b,18,a)].
% 0.68/0.97  27 $F # answer(thm100_16).  [resolve(26,a,24,a)].
% 0.68/0.97  
% 0.68/0.97  % SZS output end Refutation
% 0.68/0.97  ============================== end of proof ==========================
% 0.68/0.97  
% 0.68/0.97  ============================== STATISTICS ============================
% 0.68/0.97  
% 0.68/0.97  Given=22. Generated=37. Kept=26. proofs=1.
% 0.68/0.97  Usable=11. Sos=2. Demods=0. Limbo=1, Disabled=27. Hints=0.
% 0.68/0.97  Megabytes=0.04.
% 0.68/0.97  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.68/0.97  
% 0.68/0.97  ============================== end of statistics =====================
% 0.68/0.97  
% 0.68/0.97  ============================== end of search =========================
% 0.68/0.97  
% 0.68/0.97  THEOREM PROVED
% 0.68/0.97  % SZS status Unsatisfiable
% 0.68/0.97  
% 0.68/0.97  Exiting with 1 proof.
% 0.68/0.97  
% 0.68/0.97  Process 2387 exit (max_proofs) Sat May 28 20:30:52 2022
% 0.68/0.97  Prover9 interrupted
%------------------------------------------------------------------------------