TSTP Solution File: PUZ001-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : PUZ001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n028.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 18:23:48 EDT 2022

% Result   : Unsatisfiable 0.41s 0.96s
% Output   : Refutation 0.41s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : PUZ001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n028.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 22:31:02 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.41/0.96  ============================== Prover9 ===============================
% 0.41/0.96  Prover9 (32) version 2009-11A, November 2009.
% 0.41/0.96  Process 23345 was started by sandbox on n028.cluster.edu,
% 0.41/0.96  Sat May 28 22:31:03 2022
% 0.41/0.96  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_23192_n028.cluster.edu".
% 0.41/0.96  ============================== end of head ===========================
% 0.41/0.96  
% 0.41/0.96  ============================== INPUT =================================
% 0.41/0.96  
% 0.41/0.96  % Reading from file /tmp/Prover9_23192_n028.cluster.edu
% 0.41/0.96  
% 0.41/0.96  set(prolog_style_variables).
% 0.41/0.96  set(auto2).
% 0.41/0.96      % set(auto2) -> set(auto).
% 0.41/0.96      % set(auto) -> set(auto_inference).
% 0.41/0.96      % set(auto) -> set(auto_setup).
% 0.41/0.96      % set(auto_setup) -> set(predicate_elim).
% 0.41/0.96      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.41/0.96      % set(auto) -> set(auto_limits).
% 0.41/0.96      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.41/0.96      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.41/0.96      % set(auto) -> set(auto_denials).
% 0.41/0.96      % set(auto) -> set(auto_process).
% 0.41/0.96      % set(auto2) -> assign(new_constants, 1).
% 0.41/0.96      % set(auto2) -> assign(fold_denial_max, 3).
% 0.41/0.96      % set(auto2) -> assign(max_weight, "200.000").
% 0.41/0.96      % set(auto2) -> assign(max_hours, 1).
% 0.41/0.96      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.41/0.96      % set(auto2) -> assign(max_seconds, 0).
% 0.41/0.96      % set(auto2) -> assign(max_minutes, 5).
% 0.41/0.96      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.41/0.96      % set(auto2) -> set(sort_initial_sos).
% 0.41/0.96      % set(auto2) -> assign(sos_limit, -1).
% 0.41/0.96      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.41/0.96      % set(auto2) -> assign(max_megs, 400).
% 0.41/0.96      % set(auto2) -> assign(stats, some).
% 0.41/0.96      % set(auto2) -> clear(echo_input).
% 0.41/0.96      % set(auto2) -> set(quiet).
% 0.41/0.96      % set(auto2) -> clear(print_initial_clauses).
% 0.41/0.96      % set(auto2) -> clear(print_given).
% 0.41/0.96  assign(lrs_ticks,-1).
% 0.41/0.96  assign(sos_limit,10000).
% 0.41/0.96  assign(order,kbo).
% 0.41/0.96  set(lex_order_vars).
% 0.41/0.96  clear(print_given).
% 0.41/0.96  
% 0.41/0.96  % formulas(sos).  % not echoed (12 formulas)
% 0.41/0.96  
% 0.41/0.96  ============================== end of input ==========================
% 0.41/0.96  
% 0.41/0.96  % From the command line: assign(max_seconds, 300).
% 0.41/0.96  
% 0.41/0.96  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.41/0.96  
% 0.41/0.96  % Formulas that are not ordinary clauses:
% 0.41/0.96  
% 0.41/0.96  ============================== end of process non-clausal formulas ===
% 0.41/0.96  
% 0.41/0.96  ============================== PROCESS INITIAL CLAUSES ===============
% 0.41/0.96  
% 0.41/0.96  ============================== PREDICATE ELIMINATION =================
% 0.41/0.96  1 -lives(A) | richer(A,agatha) | hates(butler,A) # label(butler_hates_poor) # label(hypothesis).  [assumption].
% 0.41/0.96  2 lives(agatha) # label(agatha) # label(hypothesis).  [assumption].
% 0.41/0.96  3 lives(butler) # label(butler) # label(hypothesis).  [assumption].
% 0.41/0.96  4 lives(charles) # label(charles) # label(hypothesis).  [assumption].
% 0.41/0.96  Derived: richer(agatha,agatha) | hates(butler,agatha).  [resolve(1,a,2,a)].
% 0.41/0.96  Derived: richer(butler,agatha) | hates(butler,butler).  [resolve(1,a,3,a)].
% 0.41/0.96  Derived: richer(charles,agatha) | hates(butler,charles).  [resolve(1,a,4,a)].
% 0.41/0.96  5 richer(agatha,agatha) | hates(butler,agatha).  [resolve(1,a,2,a)].
% 0.41/0.96  6 -killed(A,B) | -richer(A,B) # label(poorer_killer) # label(hypothesis).  [assumption].
% 0.41/0.96  Derived: hates(butler,agatha) | -killed(agatha,agatha).  [resolve(5,a,6,b)].
% 0.41/0.96  7 richer(butler,agatha) | hates(butler,butler).  [resolve(1,a,3,a)].
% 0.41/0.96  Derived: hates(butler,butler) | -killed(butler,agatha).  [resolve(7,a,6,b)].
% 0.41/0.96  8 richer(charles,agatha) | hates(butler,charles).  [resolve(1,a,4,a)].
% 0.41/0.96  Derived: hates(butler,charles) | -killed(charles,agatha).  [resolve(8,a,6,b)].
% 0.41/0.96  
% 0.41/0.96  ============================== end predicate elimination =============
% 0.41/0.96  
% 0.41/0.96  Auto_denials:  (non-Horn, no changes).
% 0.41/0.96  
% 0.41/0.96  Term ordering decisions:
% 0.41/0.96  Function symbol KB weights:  agatha=1. butler=1. charles=1.
% 0.41/0.96  
% 0.41/0.96  ============================== end of process initial clauses ========
% 0.41/0.96  
% 0.41/0.96  ============================== CLAUSES FOR SEARCH ====================
% 0.41/0.96  
% 0.41/0.96  ============================== end of clauses for search =============
% 0.41/0.96  
% 0.41/0.96  ============================== SEARCH ================================
% 0.41/0.96  
% 0.41/0.96  % Starting search at 0.01 seconds.
% 0.41/0.96  
% 0.41/0.96  ============================== PROOF =================================
% 0.41/0.96  % SZS status Unsatisfiable
% 0.41/0.96  % SZS output start Refutation
% 0.41/0.96  
% 0.41/0.96  % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.41/0.96  % Length of proof is 18.
% 0.41/0.96  % Level of proof is 4.
% 0.41/0.96  % Maximum clause weight is 9.000.
% 0.41/0.96  % Given clauses 15.
% 0.41/0.96  
% 0.41/0.96  1 -lives(A) | richer(A,agatha) | hates(butler,A) # label(butler_hates_poor) # label(hypothesis).  [assumption].
% 0.41/0.96  3 lives(butler) # label(butler) # label(hypothesis).  [assumption].
% 0.41/0.96  6 -killed(A,B) | -richer(A,B) # label(poorer_killer) # label(hypothesis).  [assumption].
% 0.41/0.96  7 richer(butler,agatha) | hates(butler,butler).  [resolve(1,a,3,a)].
% 0.41/0.96  9 hates(agatha,agatha) # label(agatha_hates_agatha) # label(hypothesis).  [assumption].
% 0.41/0.96  10 hates(agatha,charles) # label(agatha_hates_charles) # label(hypothesis).  [assumption].
% 0.41/0.96  11 killed(butler,agatha) | killed(charles,agatha) # label(prove_neither_charles_nor_butler_did_it) # label(negated_conjecture).  [assumption].
% 0.41/0.96  12 -hates(agatha,A) | -hates(charles,A) # label(different_hates) # label(hypothesis).  [assumption].
% 0.41/0.96  13 -hates(A,agatha) | -hates(A,butler) | -hates(A,charles) # label(no_one_hates_everyone) # label(hypothesis).  [assumption].
% 0.41/0.96  14 -killed(A,B) | hates(A,B) # label(killer_hates_victim) # label(hypothesis).  [assumption].
% 0.41/0.96  15 -hates(agatha,A) | hates(butler,A) # label(same_hates) # label(hypothesis).  [assumption].
% 0.41/0.96  17 hates(butler,butler) | -killed(butler,agatha).  [resolve(7,a,6,b)].
% 0.41/0.96  20 -hates(charles,agatha).  [ur(12,a,9,a)].
% 0.41/0.96  22 killed(butler,agatha).  [resolve(14,a,11,b),unit_del(a,20)].
% 0.41/0.96  23 hates(butler,butler).  [back_unit_del(17),unit_del(b,22)].
% 0.41/0.96  24 hates(butler,charles).  [resolve(15,a,10,a)].
% 0.41/0.96  25 hates(butler,agatha).  [resolve(15,a,9,a)].
% 0.41/0.96  29 $F.  [resolve(24,a,13,c),unit_del(a,25),unit_del(b,23)].
% 0.41/0.96  
% 0.41/0.96  % SZS output end Refutation
% 0.41/0.96  ============================== end of proof ==========================
% 0.41/0.96  
% 0.41/0.96  ============================== STATISTICS ============================
% 0.41/0.96  
% 0.41/0.96  Given=15. Generated=23. Kept=20. proofs=1.
% 0.41/0.96  Usable=14. Sos=2. Demods=0. Limbo=0, Disabled=22. Hints=0.
% 0.41/0.96  Megabytes=0.03.
% 0.41/0.96  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.41/0.96  
% 0.41/0.96  ============================== end of statistics =====================
% 0.41/0.96  
% 0.41/0.96  ============================== end of search =========================
% 0.41/0.96  
% 0.41/0.96  THEOREM PROVED
% 0.41/0.96  % SZS status Unsatisfiable
% 0.41/0.96  
% 0.41/0.96  Exiting with 1 proof.
% 0.41/0.96  
% 0.41/0.96  Process 23345 exit (max_proofs) Sat May 28 22:31:03 2022
% 0.41/0.96  Prover9 interrupted
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