TSTP Solution File: PUZ035-7 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : PUZ035-7 : TPTP v8.1.0. Released v2.0.0.
% 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 18:23:54 EDT 2022

% Result   : Unsatisfiable 0.71s 1.01s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : PUZ035-7 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.32  % Computer : n024.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit : 300
% 0.13/0.32  % WCLimit  : 600
% 0.13/0.32  % DateTime : Sat May 28 20:24:21 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.71/1.01  ============================== Prover9 ===============================
% 0.71/1.01  Prover9 (32) version 2009-11A, November 2009.
% 0.71/1.01  Process 21407 was started by sandbox2 on n024.cluster.edu,
% 0.71/1.01  Sat May 28 20:24:22 2022
% 0.71/1.01  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_21046_n024.cluster.edu".
% 0.71/1.01  ============================== end of head ===========================
% 0.71/1.01  
% 0.71/1.01  ============================== INPUT =================================
% 0.71/1.01  
% 0.71/1.01  % Reading from file /tmp/Prover9_21046_n024.cluster.edu
% 0.71/1.01  
% 0.71/1.01  set(prolog_style_variables).
% 0.71/1.01  set(auto2).
% 0.71/1.01      % set(auto2) -> set(auto).
% 0.71/1.01      % set(auto) -> set(auto_inference).
% 0.71/1.01      % set(auto) -> set(auto_setup).
% 0.71/1.01      % set(auto_setup) -> set(predicate_elim).
% 0.71/1.01      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.71/1.01      % set(auto) -> set(auto_limits).
% 0.71/1.01      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.71/1.01      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.71/1.01      % set(auto) -> set(auto_denials).
% 0.71/1.01      % set(auto) -> set(auto_process).
% 0.71/1.01      % set(auto2) -> assign(new_constants, 1).
% 0.71/1.01      % set(auto2) -> assign(fold_denial_max, 3).
% 0.71/1.01      % set(auto2) -> assign(max_weight, "200.000").
% 0.71/1.01      % set(auto2) -> assign(max_hours, 1).
% 0.71/1.01      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.71/1.01      % set(auto2) -> assign(max_seconds, 0).
% 0.71/1.01      % set(auto2) -> assign(max_minutes, 5).
% 0.71/1.01      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.71/1.01      % set(auto2) -> set(sort_initial_sos).
% 0.71/1.01      % set(auto2) -> assign(sos_limit, -1).
% 0.71/1.01      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.71/1.01      % set(auto2) -> assign(max_megs, 400).
% 0.71/1.01      % set(auto2) -> assign(stats, some).
% 0.71/1.01      % set(auto2) -> clear(echo_input).
% 0.71/1.01      % set(auto2) -> set(quiet).
% 0.71/1.01      % set(auto2) -> clear(print_initial_clauses).
% 0.71/1.01      % set(auto2) -> clear(print_given).
% 0.71/1.01  assign(lrs_ticks,-1).
% 0.71/1.01  assign(sos_limit,10000).
% 0.71/1.01  assign(order,kbo).
% 0.71/1.01  set(lex_order_vars).
% 0.71/1.01  clear(print_given).
% 0.71/1.01  
% 0.71/1.01  % formulas(sos).  % not echoed (14 formulas)
% 0.71/1.01  
% 0.71/1.01  ============================== end of input ==========================
% 0.71/1.01  
% 0.71/1.01  % From the command line: assign(max_seconds, 300).
% 0.71/1.01  
% 0.71/1.01  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.71/1.01  
% 0.71/1.01  % Formulas that are not ordinary clauses:
% 0.71/1.01  
% 0.71/1.01  ============================== end of process non-clausal formulas ===
% 0.71/1.01  
% 0.71/1.01  ============================== PROCESS INITIAL CLAUSES ===============
% 0.71/1.01  
% 0.71/1.01  ============================== PREDICATE ELIMINATION =================
% 0.71/1.01  
% 0.71/1.01  ============================== end predicate elimination =============
% 0.71/1.01  
% 0.71/1.01  Auto_denials:  (non-Horn, no changes).
% 0.71/1.01  
% 0.71/1.01  Term ordering decisions:
% 0.71/1.01  
% 0.71/1.01  % Assigning unary symbol not kb_weight 0 and highest precedence (11).
% 0.71/1.01  Function symbol KB weights:  knight=1. yes=1. knave=1. no=1. asked=1. other=1. isa=1. or=1. not=0.
% 0.71/1.01  
% 0.71/1.01  ============================== end of process initial clauses ========
% 0.71/1.01  
% 0.71/1.01  ============================== CLAUSES FOR SEARCH ====================
% 0.71/1.01  
% 0.71/1.01  ============================== end of clauses for search =============
% 0.71/1.01  
% 0.71/1.01  ============================== SEARCH ================================
% 0.71/1.01  
% 0.71/1.01  % Starting search at 0.01 seconds.
% 0.71/1.01  
% 0.71/1.01  ============================== PROOF =================================
% 0.71/1.01  % SZS status Unsatisfiable
% 0.71/1.01  % SZS output start Refutation
% 0.71/1.01  
% 0.71/1.01  % Proof 1 at 0.05 (+ 0.00) seconds.
% 0.71/1.01  % Length of proof is 24.
% 0.71/1.01  % Level of proof is 11.
% 0.71/1.01  % Maximum clause weight is 20.000.
% 0.71/1.01  % Given clauses 152.
% 0.71/1.01  
% 0.71/1.01  2 truth(isa(A,knight)) | truth(isa(A,knave)) # label(everyone_a_knight_or_knave) # label(axiom).  [assumption].
% 0.71/1.01  3 reply(A,B,yes) | reply(A,B,no) # label(yes_or_no) # label(axiom).  [assumption].
% 0.71/1.01  4 truth(A) | truth(isa(B,knight)) | reply(B,A,yes) # label(knights_make_true_statements4) # label(axiom).  [assumption].
% 0.71/1.01  8 -reply(asked,or(isa(asked,knight),isa(other,knight)),A) | -truth(isa(asked,B)) | -truth(isa(other,C)) # label(prove_answer) # label(negated_conjecture).  [assumption].
% 0.71/1.01  9 truth(or(A,B)) | -truth(A) # label(or2) # label(axiom).  [assumption].
% 0.71/1.01  10 truth(or(A,B)) | -truth(B) # label(or3) # label(axiom).  [assumption].
% 0.71/1.01  11 truth(A) | truth(B) | -truth(or(A,B)) # label(or1) # label(axiom).  [assumption].
% 0.71/1.01  13 -truth(A) | truth(isa(B,knight)) | -reply(B,A,yes) # label(knights_make_true_statements2) # label(axiom).  [assumption].
% 0.71/1.01  14 -truth(A) | -truth(isa(B,knight)) | reply(B,A,yes) # label(knights_make_true_statements3) # label(axiom).  [assumption].
% 0.71/1.01  18 -truth(isa(asked,A)) | -truth(isa(other,B)) | truth(or(isa(asked,knight),isa(other,knight))) | truth(isa(asked,knight)).  [resolve(8,a,4,c)].
% 0.71/1.01  19 -truth(isa(asked,A)) | -truth(isa(other,B)) | reply(asked,or(isa(asked,knight),isa(other,knight)),yes).  [resolve(8,a,3,b)].
% 0.71/1.01  26 -truth(isa(other,A)) | truth(or(isa(asked,knight),isa(other,knight))) | truth(isa(asked,knight)).  [resolve(18,a,2,b),merge(d)].
% 0.71/1.01  40 -truth(isa(other,A)) | reply(asked,or(isa(asked,knight),isa(other,knight)),yes) | truth(isa(asked,knight)).  [resolve(19,a,2,b)].
% 0.71/1.01  63 truth(or(isa(asked,knight),isa(other,knight))) | truth(isa(asked,knight)) | truth(isa(other,knight)).  [resolve(26,a,2,b)].
% 0.71/1.01  234 truth(isa(asked,knight)) | truth(isa(other,knight)).  [resolve(63,a,11,c),merge(c),merge(d)].
% 0.71/1.01  242 truth(isa(asked,knight)) | reply(asked,or(isa(asked,knight),isa(other,knight)),yes).  [resolve(234,b,40,a),merge(c)].
% 0.71/1.01  253 truth(isa(asked,knight)) | truth(or(A,isa(other,knight))).  [resolve(234,b,10,b)].
% 0.71/1.01  404 truth(isa(asked,knight)) | -truth(or(isa(asked,knight),isa(other,knight))).  [resolve(242,b,13,c),merge(c)].
% 0.71/1.01  406 truth(isa(asked,knight)).  [resolve(404,b,253,b),merge(b)].
% 0.71/1.01  428 -truth(A) | reply(asked,A,yes).  [resolve(406,a,14,b)].
% 0.71/1.01  431 truth(or(isa(asked,knight),A)).  [resolve(406,a,9,b)].
% 0.71/1.01  497 reply(asked,or(isa(asked,knight),A),yes).  [resolve(431,a,428,a)].
% 0.71/1.01  540 -truth(isa(other,A)).  [ur(8,a,497,a,b,406,a)].
% 0.71/1.01  542 $F.  [resolve(540,a,2,b),unit_del(a,540)].
% 0.71/1.01  
% 0.71/1.01  % SZS output end Refutation
% 0.71/1.01  ============================== end of proof ==========================
% 0.71/1.01  
% 0.71/1.01  ============================== STATISTICS ============================
% 0.71/1.01  
% 0.71/1.01  Given=152. Generated=805. Kept=541. proofs=1.
% 0.71/1.01  Usable=123. Sos=231. Demods=0. Limbo=0, Disabled=201. Hints=0.
% 0.71/1.01  Megabytes=0.47.
% 0.71/1.01  User_CPU=0.05, System_CPU=0.00, Wall_clock=0.
% 0.71/1.01  
% 0.71/1.01  ============================== end of statistics =====================
% 0.71/1.01  
% 0.71/1.01  ============================== end of search =========================
% 0.71/1.01  
% 0.71/1.01  THEOREM PROVED
% 0.71/1.01  % SZS status Unsatisfiable
% 0.71/1.01  
% 0.71/1.01  Exiting with 1 proof.
% 0.71/1.01  
% 0.71/1.01  Process 21407 exit (max_proofs) Sat May 28 20:24:22 2022
% 0.71/1.01  Prover9 interrupted
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