TSTP Solution File: PUZ011-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : PUZ011-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n026.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 18:23:49 EDT 2022

% Result   : Unsatisfiable 0.44s 1.02s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : PUZ011-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.34  % Computer : n026.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 600
% 0.12/0.35  % DateTime : Sat May 28 22:50:09 EDT 2022
% 0.12/0.35  % CPUTime  : 
% 0.44/1.02  ============================== Prover9 ===============================
% 0.44/1.02  Prover9 (32) version 2009-11A, November 2009.
% 0.44/1.02  Process 8633 was started by sandbox2 on n026.cluster.edu,
% 0.44/1.02  Sat May 28 22:50:09 2022
% 0.44/1.02  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_8480_n026.cluster.edu".
% 0.44/1.02  ============================== end of head ===========================
% 0.44/1.02  
% 0.44/1.02  ============================== INPUT =================================
% 0.44/1.02  
% 0.44/1.02  % Reading from file /tmp/Prover9_8480_n026.cluster.edu
% 0.44/1.02  
% 0.44/1.02  set(prolog_style_variables).
% 0.44/1.02  set(auto2).
% 0.44/1.02      % set(auto2) -> set(auto).
% 0.44/1.02      % set(auto) -> set(auto_inference).
% 0.44/1.02      % set(auto) -> set(auto_setup).
% 0.44/1.02      % set(auto_setup) -> set(predicate_elim).
% 0.44/1.02      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.44/1.02      % set(auto) -> set(auto_limits).
% 0.44/1.02      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.44/1.02      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.44/1.02      % set(auto) -> set(auto_denials).
% 0.44/1.02      % set(auto) -> set(auto_process).
% 0.44/1.02      % set(auto2) -> assign(new_constants, 1).
% 0.44/1.02      % set(auto2) -> assign(fold_denial_max, 3).
% 0.44/1.02      % set(auto2) -> assign(max_weight, "200.000").
% 0.44/1.02      % set(auto2) -> assign(max_hours, 1).
% 0.44/1.02      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.44/1.02      % set(auto2) -> assign(max_seconds, 0).
% 0.44/1.02      % set(auto2) -> assign(max_minutes, 5).
% 0.44/1.02      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.44/1.02      % set(auto2) -> set(sort_initial_sos).
% 0.44/1.02      % set(auto2) -> assign(sos_limit, -1).
% 0.44/1.02      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.44/1.02      % set(auto2) -> assign(max_megs, 400).
% 0.44/1.02      % set(auto2) -> assign(stats, some).
% 0.44/1.02      % set(auto2) -> clear(echo_input).
% 0.44/1.02      % set(auto2) -> set(quiet).
% 0.44/1.02      % set(auto2) -> clear(print_initial_clauses).
% 0.44/1.02      % set(auto2) -> clear(print_given).
% 0.44/1.02  assign(lrs_ticks,-1).
% 0.44/1.02  assign(sos_limit,10000).
% 0.44/1.02  assign(order,kbo).
% 0.44/1.02  set(lex_order_vars).
% 0.44/1.02  clear(print_given).
% 0.44/1.02  
% 0.44/1.02  % formulas(sos).  % not echoed (27 formulas)
% 0.44/1.02  
% 0.44/1.02  ============================== end of input ==========================
% 0.44/1.02  
% 0.44/1.02  % From the command line: assign(max_seconds, 300).
% 0.44/1.02  
% 0.44/1.02  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.44/1.02  
% 0.44/1.02  % Formulas that are not ordinary clauses:
% 0.44/1.02  
% 0.44/1.02  ============================== end of process non-clausal formulas ===
% 0.44/1.02  
% 0.44/1.02  ============================== PROCESS INITIAL CLAUSES ===============
% 0.44/1.02  
% 0.44/1.02  ============================== PREDICATE ELIMINATION =================
% 0.44/1.02  1 -ocean(A) | -borders(A,B) | -african(B) | -borders(A,C) | -asian(C) # label(prove_there_is_a_common_ocean) # label(negated_conjecture).  [assumption].
% 0.44/1.02  2 ocean(atlantic) # label(atlantic) # label(hypothesis).  [assumption].
% 0.44/1.02  3 ocean(indian) # label(indian) # label(hypothesis).  [assumption].
% 0.44/1.02  Derived: -borders(atlantic,A) | -african(A) | -borders(atlantic,B) | -asian(B).  [resolve(1,a,2,a)].
% 0.44/1.02  Derived: -borders(indian,A) | -african(A) | -borders(indian,B) | -asian(B).  [resolve(1,a,3,a)].
% 0.44/1.02  4 -borders(atlantic,A) | -african(A) | -borders(atlantic,B) | -asian(B).  [resolve(1,a,2,a)].
% 0.44/1.02  5 african(zaire) # label(zaire) # label(hypothesis).  [assumption].
% 0.44/1.02  6 african(nigeria) # label(nigeria) # label(hypothesis).  [assumption].
% 0.44/1.02  7 african(angola) # label(angola) # label(hypothesis).  [assumption].
% 0.44/1.02  8 african(somalia) # label(somalia) # label(hypothesis).  [assumption].
% 0.44/1.02  9 african(kenya) # label(kenya) # label(hypothesis).  [assumption].
% 0.44/1.02  10 african(tanzania) # label(tanzania) # label(hypothesis).  [assumption].
% 0.44/1.02  Derived: -borders(atlantic,zaire) | -borders(atlantic,A) | -asian(A).  [resolve(4,b,5,a)].
% 0.44/1.02  Derived: -borders(atlantic,nigeria) | -borders(atlantic,A) | -asian(A).  [resolve(4,b,6,a)].
% 0.44/1.02  Derived: -borders(atlantic,angola) | -borders(atlantic,A) | -asian(A).  [resolve(4,b,7,a)].
% 0.44/1.02  Derived: -borders(atlantic,somalia) | -borders(atlantic,A) | -asian(A).  [resolve(4,b,8,a)].
% 0.44/1.02  Derived: -borders(atlantic,kenya) | -borders(atlantic,A) | -asian(A).  [resolve(4,b,9,a)].
% 0.44/1.02  Derived: -borders(atlantic,tanzania) | -borders(atlantic,A) | -asian(A).  [resolve(4,b,10,a)].
% 0.44/1.02  11 -borders(indian,A) | -african(A) | -borders(indian,B) | -asian(B).  [resolve(1,a,3,a)].
% 0.44/1.02  Derived: -borders(indian,zaire) | -borders(indian,A) | -asian(A).  [resolve(11,b,5,a)].
% 0.44/1.02  Derived: -borders(indian,nigeria) | -borders(indian,A) | -asian(A).  [resolve(11,b,6,a)].
% 0.44/1.02  Derived: -borders(indian,angola) | -borders(indian,A) | -asian(A).  [resolve(11,b,7,a)].
% 0.44/1.02  Derived: -borders(indian,somalia) | -borders(indian,A) | -asian(A).  [resolve(11,b,8,a)].
% 0.44/1.02  Derived: -borders(indian,kenya) | -borders(indian,A) | -asian(A).  [resolve(11,b,9,a)].
% 0.44/1.02  Derived: -borders(indian,tanzania) | -borders(indian,A) | -asian(A).  [resolve(11,b,10,a)].
% 0.44/1.02  12 -borders(atlantic,zaire) | -borders(atlantic,A) | -asian(A).  [resolve(4,b,5,a)].
% 0.44/1.02  13 asian(india) # label(india) # label(hypothesis).  [assumption].
% 0.44/1.02  14 asian(pakistan) # label(pakistan) # label(hypothesis).  [assumption].
% 0.44/1.02  15 asian(iran) # label(iran) # label(hypothesis).  [assumption].
% 0.44/1.02  Derived: -borders(atlantic,zaire) | -borders(atlantic,india).  [resolve(12,c,13,a)].
% 0.44/1.02  Derived: -borders(atlantic,zaire) | -borders(atlantic,pakistan).  [resolve(12,c,14,a)].
% 0.44/1.02  Derived: -borders(atlantic,zaire) | -borders(atlantic,iran).  [resolve(12,c,15,a)].
% 0.44/1.02  16 -borders(atlantic,nigeria) | -borders(atlantic,A) | -asian(A).  [resolve(4,b,6,a)].
% 0.44/1.02  Derived: -borders(atlantic,nigeria) | -borders(atlantic,india).  [resolve(16,c,13,a)].
% 0.44/1.02  Derived: -borders(atlantic,nigeria) | -borders(atlantic,pakistan).  [resolve(16,c,14,a)].
% 0.44/1.02  Derived: -borders(atlantic,nigeria) | -borders(atlantic,iran).  [resolve(16,c,15,a)].
% 0.44/1.02  17 -borders(atlantic,angola) | -borders(atlantic,A) | -asian(A).  [resolve(4,b,7,a)].
% 0.44/1.02  Derived: -borders(atlantic,angola) | -borders(atlantic,india).  [resolve(17,c,13,a)].
% 0.44/1.02  Derived: -borders(atlantic,angola) | -borders(atlantic,pakistan).  [resolve(17,c,14,a)].
% 0.44/1.02  Derived: -borders(atlantic,angola) | -borders(atlantic,iran).  [resolve(17,c,15,a)].
% 0.44/1.02  18 -borders(atlantic,somalia) | -borders(atlantic,A) | -asian(A).  [resolve(4,b,8,a)].
% 0.44/1.02  Derived: -borders(atlantic,somalia) | -borders(atlantic,india).  [resolve(18,c,13,a)].
% 0.44/1.02  Derived: -borders(atlantic,somalia) | -borders(atlantic,pakistan).  [resolve(18,c,14,a)].
% 0.44/1.02  Derived: -borders(atlantic,somalia) | -borders(atlantic,iran).  [resolve(18,c,15,a)].
% 0.44/1.02  19 -borders(atlantic,kenya) | -borders(atlantic,A) | -asian(A).  [resolve(4,b,9,a)].
% 0.44/1.02  Derived: -borders(atlantic,kenya) | -borders(atlantic,india).  [resolve(19,c,13,a)].
% 0.44/1.02  Derived: -borders(atlantic,kenya) | -borders(atlantic,pakistan).  [resolve(19,c,14,a)].
% 0.44/1.02  Derived: -borders(atlantic,kenya) | -borders(atlantic,iran).  [resolve(19,c,15,a)].
% 0.44/1.02  20 -borders(atlantic,tanzania) | -borders(atlantic,A) | -asian(A).  [resolve(4,b,10,a)].
% 0.44/1.02  Derived: -borders(atlantic,tanzania) | -borders(atlantic,india).  [resolve(20,c,13,a)].
% 0.44/1.02  Derived: -borders(atlantic,tanzania) | -borders(atlantic,pakistan).  [resolve(20,c,14,a)].
% 0.44/1.02  Derived: -borders(atlantic,tanzania) | -borders(atlantic,iran).  [resolve(20,c,15,a)].
% 0.44/1.02  21 -borders(indian,zaire) | -borders(indian,A) | -asian(A).  [resolve(11,b,5,a)].
% 0.44/1.02  Derived: -borders(indian,zaire) | -borders(indian,india).  [resolve(21,c,13,a)].
% 0.44/1.02  Derived: -borders(indian,zaire) | -borders(indian,pakistan).  [resolve(21,c,14,a)].
% 0.44/1.02  Derived: -borders(indian,zaire) | -borders(indian,iran).  [resolve(21,c,15,a)].
% 0.44/1.02  22 -borders(indian,nigeria) | -borders(indian,A) | -asian(A).  [resolve(11,b,6,a)].
% 0.44/1.02  Derived: -borders(indian,nigeria) | -borders(indian,india).  [resolve(22,c,13,a)].
% 0.44/1.02  Derived: -borders(indian,nigeria) | -borders(indian,pakistan).  [resolve(22,c,14,a)].
% 0.44/1.02  Derived: -borders(indian,nigeria) | -borders(indian,iran).  [resolve(22,c,15,a)].
% 0.44/1.02  23 -borders(indian,angola) | -borders(indian,A) | -asian(A).  [resolve(11,b,7,a)].
% 0.44/1.02  Derived: -borders(indian,angola) | -borders(indian,india).  [resolve(23,c,13,a)].
% 0.44/1.02  Derived: -borders(indian,angola) | -borders(indian,pakistan).  [resolve(23,c,14,a)].
% 0.44/1.02  Derived: -borders(indian,angola) | -borders(indian,iran).  [resolve(23,c,15,a)].
% 0.44/1.02  24 -borders(indian,somalia) | -borders(indian,A) | -asian(A).  [resolve(11,b,8,a)].
% 0.44/1.02  Derived: -borders(indian,somalia) | -borders(indian,india).  [resolve(24,c,13,a)].
% 0.44/1.02  Derived: -borders(indian,somalia) | -borders(indian,pakistan).  [resolve(24,c,14,a)].
% 0.44/1.02  Derived: -borders(indian,somalia) | -borders(indian,iran).  [resolve(24,c,15,a)].
% 0.44/1.02  25 -borders(indian,kenya) | -bor
% 0.44/1.02  WARNING: denials share constants (see output).
% 0.44/1.02  
% 0.44/1.02  ders(indian,A) | -asian(A).  [resolve(11,b,9,a)].
% 0.44/1.02  Derived: -borders(indian,kenya) | -borders(indian,india).  [resolve(25,c,13,a)].
% 0.44/1.02  Derived: -borders(indian,kenya) | -borders(indian,pakistan).  [resolve(25,c,14,a)].
% 0.44/1.02  Derived: -borders(indian,kenya) | -borders(indian,iran).  [resolve(25,c,15,a)].
% 0.44/1.02  26 -borders(indian,tanzania) | -borders(indian,A) | -asian(A).  [resolve(11,b,10,a)].
% 0.44/1.02  Derived: -borders(indian,tanzania) | -borders(indian,india).  [resolve(26,c,13,a)].
% 0.44/1.02  Derived: -borders(indian,tanzania) | -borders(indian,pakistan).  [resolve(26,c,14,a)].
% 0.44/1.02  Derived: -borders(indian,tanzania) | -borders(indian,iran).  [resolve(26,c,15,a)].
% 0.44/1.02  
% 0.44/1.02  ============================== end predicate elimination =============
% 0.44/1.02  
% 0.44/1.02  Auto_denials:
% 0.44/1.02    % assign(max_proofs, 36).  % (Horn set with more than one neg. clause)
% 0.44/1.02  
% 0.44/1.02  WARNING, because some of the denials share constants,
% 0.44/1.02  some of the denials or their descendents may be subsumed,
% 0.44/1.02  preventing the target number of proofs from being found.
% 0.44/1.02  The shared constants are:  indian, tanzania, kenya, somalia, angola, nigeria, iran, pakistan, india, zaire, atlantic.
% 0.44/1.02  
% 0.44/1.02  Term ordering decisions:
% 0.44/1.02  Function symbol KB weights:  atlantic=1. indian=1. angola=1. brazil=1. india=1. iran=1. kenya=1. nigeria=1. pakistan=1. somalia=1. tanzania=1. uruguay=1. venesuela=1. zaire=1.
% 0.44/1.02  
% 0.44/1.02  ============================== PROOF =================================
% 0.44/1.02  % SZS status Unsatisfiable
% 0.44/1.02  % SZS output start Refutation
% 0.44/1.02  
% 0.44/1.02  % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.44/1.02  % Length of proof is 10.
% 0.44/1.02  % Level of proof is 4.
% 0.44/1.02  % Maximum clause weight is 3.000.
% 0.44/1.02  % Given clauses 0.
% 0.44/1.02  
% 0.44/1.02  1 -ocean(A) | -borders(A,B) | -african(B) | -borders(A,C) | -asian(C) # label(prove_there_is_a_common_ocean) # label(negated_conjecture).  [assumption].
% 0.44/1.02  3 ocean(indian) # label(indian) # label(hypothesis).  [assumption].
% 0.44/1.02  8 african(somalia) # label(somalia) # label(hypothesis).  [assumption].
% 0.44/1.02  11 -borders(indian,A) | -african(A) | -borders(indian,B) | -asian(B).  [resolve(1,a,3,a)].
% 0.44/1.02  13 asian(india) # label(india) # label(hypothesis).  [assumption].
% 0.44/1.02  24 -borders(indian,somalia) | -borders(indian,A) | -asian(A).  [resolve(11,b,8,a)].
% 0.44/1.02  33 borders(indian,india) # label(indian_india) # label(hypothesis).  [assumption].
% 0.44/1.02  36 borders(indian,somalia) # label(indian_somalia) # label(hypothesis).  [assumption].
% 0.44/1.02  63 -borders(indian,somalia) | -borders(indian,india).  [resolve(24,c,13,a)].
% 0.44/1.02  64 $F.  [copy(63),unit_del(a,36),unit_del(b,33)].
% 0.44/1.02  
% 0.44/1.02  % SZS output end Refutation
% 0.44/1.02  ============================== end of proof ==========================
% 0.44/1.02  % Redundant proof: 66 $F.  [copy(65),unit_del(a,36),unit_del(b,34)].
% 0.44/1.02  % Redundant proof: 68 $F.  [copy(67),unit_del(a,36),unit_del(b,35)].
% 0.44/1.02  % Redundant proof: 70 $F.  [copy(69),unit_del(a,37),unit_del(b,33)].
% 0.44/1.02  % Redundant proof: 72 $F.  [copy(71),unit_del(a,37),unit_del(b,34)].
% 0.44/1.02  % Redundant proof: 74 $F.  [copy(73),unit_del(a,37),unit_del(b,35)].
% 0.44/1.02  % Redundant proof: 76 $F.  [copy(75),unit_del(a,38),unit_del(b,33)].
% 0.44/1.02  % Redundant proof: 78 $F.  [copy(77),unit_del(a,38),unit_del(b,34)].
% 0.44/1.02  % Redundant proof: 80 $F.  [copy(79),unit_del(a,38),unit_del(b,35)].
% 0.44/1.02  
% 0.44/1.02  % Disable descendants (x means already disabled):
% 0.44/1.02   1x 4x 11x 12x 16x 17x 18x 19x 20x 21x
% 0.44/1.02   22x 23x 24x 25x 26x 39x 40 41x 42 43x
% 0.44/1.02   44 45x 46x 47x 48x 49x 50x 51x 52 53x
% 0.44/1.02   54x 55x 56 57x 58x 59x 60 61x 62x 63x
% 0.44/1.02   65x 67x 69x 71x 73x 75x 77x 79x
% 0.44/1.02  
% 0.44/1.02  ============================== end of process initial clauses ========
% 0.44/1.02  
% 0.44/1.02  ============================== CLAUSES FOR SEARCH ====================
% 0.44/1.02  
% 0.44/1.02  ============================== end of clauses for search =============
% 0.44/1.02  
% 0.44/1.02  ============================== SEARCH ================================
% 0.44/1.02  
% 0.44/1.02  % Starting search at 0.02 seconds.
% 0.44/1.02  
% 0.44/1.02  ============================== STATISTICS ============================
% 0.44/1.02  
% 0.44/1.02  Given=12. Generated=48. Kept=18. proofs=1.
% 0.44/1.02  Usable=12. Sos=0. Demods=0. Limbo=0, Disabled=83. Hints=0.
% 0.44/1.02  Megabytes=0.05.
% 0.44/1.02  User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.44/1.02  
% 0.44/1.02  ============================== end of statistics =====================
% 0.44/1.02  
% 0.44/1.02  ============================== end of search =========================
% 0.44/1.02  
% 0.44/1.02  SEARCH FAILED
% 0.44/1.02  
% 0.44/1.02  Exiting with 1 proof.
% 0.44/1.02  
% 0.44/1.02  Process 8633 exit (sos_empty) Sat May 28 22:50:09 2022
% 0.44/1.02  Prover9 interrupted
%------------------------------------------------------------------------------