TSTP Solution File: PLA001-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : PLA001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n018.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 17:31:20 EDT 2022

% Result   : Unsatisfiable 0.43s 0.95s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : PLA001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.34  % Computer : n018.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
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue May 31 19:36:43 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.43/0.95  ============================== Prover9 ===============================
% 0.43/0.95  Prover9 (32) version 2009-11A, November 2009.
% 0.43/0.95  Process 20890 was started by sandbox2 on n018.cluster.edu,
% 0.43/0.95  Tue May 31 19:36:44 2022
% 0.43/0.95  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_20654_n018.cluster.edu".
% 0.43/0.95  ============================== end of head ===========================
% 0.43/0.95  
% 0.43/0.95  ============================== INPUT =================================
% 0.43/0.95  
% 0.43/0.95  % Reading from file /tmp/Prover9_20654_n018.cluster.edu
% 0.43/0.95  
% 0.43/0.95  set(prolog_style_variables).
% 0.43/0.95  set(auto2).
% 0.43/0.95      % set(auto2) -> set(auto).
% 0.43/0.95      % set(auto) -> set(auto_inference).
% 0.43/0.95      % set(auto) -> set(auto_setup).
% 0.43/0.95      % set(auto_setup) -> set(predicate_elim).
% 0.43/0.95      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.43/0.95      % set(auto) -> set(auto_limits).
% 0.43/0.95      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.43/0.95      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.43/0.95      % set(auto) -> set(auto_denials).
% 0.43/0.95      % set(auto) -> set(auto_process).
% 0.43/0.95      % set(auto2) -> assign(new_constants, 1).
% 0.43/0.95      % set(auto2) -> assign(fold_denial_max, 3).
% 0.43/0.95      % set(auto2) -> assign(max_weight, "200.000").
% 0.43/0.95      % set(auto2) -> assign(max_hours, 1).
% 0.43/0.95      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.43/0.95      % set(auto2) -> assign(max_seconds, 0).
% 0.43/0.95      % set(auto2) -> assign(max_minutes, 5).
% 0.43/0.95      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.43/0.95      % set(auto2) -> set(sort_initial_sos).
% 0.43/0.95      % set(auto2) -> assign(sos_limit, -1).
% 0.43/0.95      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.43/0.95      % set(auto2) -> assign(max_megs, 400).
% 0.43/0.95      % set(auto2) -> assign(stats, some).
% 0.43/0.95      % set(auto2) -> clear(echo_input).
% 0.43/0.95      % set(auto2) -> set(quiet).
% 0.43/0.95      % set(auto2) -> clear(print_initial_clauses).
% 0.43/0.95      % set(auto2) -> clear(print_given).
% 0.43/0.95  assign(lrs_ticks,-1).
% 0.43/0.95  assign(sos_limit,10000).
% 0.43/0.95  assign(order,kbo).
% 0.43/0.95  set(lex_order_vars).
% 0.43/0.95  clear(print_given).
% 0.43/0.95  
% 0.43/0.95  % formulas(sos).  % not echoed (16 formulas)
% 0.43/0.95  
% 0.43/0.95  ============================== end of input ==========================
% 0.43/0.95  
% 0.43/0.95  % From the command line: assign(max_seconds, 300).
% 0.43/0.95  
% 0.43/0.95  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.43/0.95  
% 0.43/0.95  % Formulas that are not ordinary clauses:
% 0.43/0.95  
% 0.43/0.95  ============================== end of process non-clausal formulas ===
% 0.43/0.95  
% 0.43/0.95  ============================== PROCESS INITIAL CLAUSES ===============
% 0.43/0.95  
% 0.43/0.95  ============================== PREDICATE ELIMINATION =================
% 0.43/0.95  1 -at(A,B,C,D) | -next_to(A,E) | at(E,B,s(s(C)),drive(E,D)) # label(drive1) # label(axiom).  [assumption].
% 0.43/0.95  2 next_to(winnemucca,elko) # label(map1) # label(hypothesis).  [assumption].
% 0.43/0.95  3 next_to(elko,saltLakeCity) # label(map2) # label(hypothesis).  [assumption].
% 0.43/0.95  4 next_to(saltLakeCity,rockSprings) # label(map3) # label(hypothesis).  [assumption].
% 0.43/0.95  5 next_to(rockSprings,laramie) # label(map4) # label(hypothesis).  [assumption].
% 0.43/0.95  6 next_to(laramie,cheyenne) # label(map5) # label(hypothesis).  [assumption].
% 0.43/0.95  7 next_to(cheyenne,northPlatte) # label(map6) # label(hypothesis).  [assumption].
% 0.43/0.95  8 next_to(northPlatte,grandIsland) # label(map7) # label(hypothesis).  [assumption].
% 0.43/0.95  9 next_to(grandIsland,lincoln) # label(map8) # label(hypothesis).  [assumption].
% 0.43/0.95  10 next_to(lincoln,omaha) # label(map9) # label(hypothesis).  [assumption].
% 0.43/0.95  11 next_to(omaha,desMoines) # label(map10) # label(hypothesis).  [assumption].
% 0.43/0.95  Derived: -at(winnemucca,A,B,C) | at(elko,A,s(s(B)),drive(elko,C)).  [resolve(1,b,2,a)].
% 0.43/0.95  Derived: -at(elko,A,B,C) | at(saltLakeCity,A,s(s(B)),drive(saltLakeCity,C)).  [resolve(1,b,3,a)].
% 0.43/0.95  Derived: -at(saltLakeCity,A,B,C) | at(rockSprings,A,s(s(B)),drive(rockSprings,C)).  [resolve(1,b,4,a)].
% 0.43/0.95  Derived: -at(rockSprings,A,B,C) | at(laramie,A,s(s(B)),drive(laramie,C)).  [resolve(1,b,5,a)].
% 0.43/0.95  Derived: -at(laramie,A,B,C) | at(cheyenne,A,s(s(B)),drive(cheyenne,C)).  [resolve(1,b,6,a)].
% 0.43/0.95  Derived: -at(cheyenne,A,B,C) | at(northPlatte,A,s(s(B)),drive(northPlatte,C)).  [resolve(1,b,7,a)].
% 0.43/0.95  Derived: -at(northPlatte,A,B,C) | at(grandIsland,A,s(s(B)),drive(grandIsland,C)).  [resolve(1,b,8,a)].
% 0.43/0.95  Derived: -at(grandIsland,A,B,C) | at(lincoln,A,s(s(B)),drive(lincoln,C)).  [resolve(1,b,9,a)].
% 0.43/0.95  Derived: -at(lincoln,A,B,C) | at(omaha,A,s(s(B)),drive(omaha,C)).  [resolve(1,b,10,a)].
% 0.43/0.95  Derived: -at(omaha,A,B,C) | at(desMoines,A,s(s(B)),drive(desMoines,C)).  [resolve(1,b,11,a)].
% 0.43/0.95  12 -at(A,B,C,D) | -next_to(E,A) | at(E,B,s(s(C)),drive(E,D)) # label(drive2) # label(axiom).  [assumption].
% 0.43/0.95  Derived: -at(elko,A,B,C) | at(winnemucca,A,s(s(B)),drive(winnemucca,C)).  [resolve(12,b,2,a)].
% 0.43/0.95  Derived: -at(saltLakeCity,A,B,C) | at(elko,A,s(s(B)),drive(elko,C)).  [resolve(12,b,3,a)].
% 0.43/0.95  Derived: -at(rockSprings,A,B,C) | at(saltLakeCity,A,s(s(B)),drive(saltLakeCity,C)).  [resolve(12,b,4,a)].
% 0.43/0.95  Derived: -at(laramie,A,B,C) | at(rockSprings,A,s(s(B)),drive(rockSprings,C)).  [resolve(12,b,5,a)].
% 0.43/0.95  Derived: -at(cheyenne,A,B,C) | at(laramie,A,s(s(B)),drive(laramie,C)).  [resolve(12,b,6,a)].
% 0.43/0.95  Derived: -at(northPlatte,A,B,C) | at(cheyenne,A,s(s(B)),drive(cheyenne,C)).  [resolve(12,b,7,a)].
% 0.43/0.95  Derived: -at(grandIsland,A,B,C) | at(northPlatte,A,s(s(B)),drive(northPlatte,C)).  [resolve(12,b,8,a)].
% 0.43/0.95  Derived: -at(lincoln,A,B,C) | at(grandIsland,A,s(s(B)),drive(grandIsland,C)).  [resolve(12,b,9,a)].
% 0.43/0.95  Derived: -at(omaha,A,B,C) | at(lincoln,A,s(s(B)),drive(lincoln,C)).  [resolve(12,b,10,a)].
% 0.43/0.95  Derived: -at(desMoines,A,B,C) | at(omaha,A,s(s(B)),drive(omaha,C)).  [resolve(12,b,11,a)].
% 0.43/0.95  
% 0.43/0.95  ============================== end predicate elimination =============
% 0.43/0.95  
% 0.43/0.95  Auto_denials:
% 0.43/0.95    % copying label prove_you_gat_get_there_with_bread to answer in negative clause
% 0.43/0.95  
% 0.43/0.95  Term ordering decisions:
% 0.43/0.95  Function symbol KB weights:  cheyenne=1. elko=1. grandIsland=1. laramie=1. lincoln=1. northPlatte=1. omaha=1. rockSprings=1. saltLakeCity=1. desMoines=1. winnemucca=1. initial_situation=1. none=1. start=1. drive=1. s=1. buy=1. wait_at=1.
% 0.43/0.95  
% 0.43/0.95  ============================== end of process initial clauses ========
% 0.43/0.95  
% 0.43/0.95  ============================== CLAUSES FOR SEARCH ====================
% 0.43/0.95  
% 0.43/0.95  ============================== end of clauses for search =============
% 0.43/0.95  
% 0.43/0.95  ============================== SEARCH ================================
% 0.43/0.95  
% 0.43/0.95  % Starting search at 0.01 seconds.
% 0.43/0.95  
% 0.43/0.95  ============================== PROOF =================================
% 0.43/0.95  % SZS status Unsatisfiable
% 0.43/0.95  % SZS output start Refutation
% 0.43/0.95  
% 0.43/0.95  % Proof 1 at 0.01 (+ 0.00) seconds: prove_you_gat_get_there_with_bread.
% 0.43/0.95  % Length of proof is 23.
% 0.43/0.95  % Level of proof is 6.
% 0.43/0.95  % Maximum clause weight is 14.000.
% 0.43/0.95  % Given clauses 29.
% 0.43/0.95  
% 0.43/0.95  1 -at(A,B,C,D) | -next_to(A,E) | at(E,B,s(s(C)),drive(E,D)) # label(drive1) # label(axiom).  [assumption].
% 0.43/0.95  7 next_to(cheyenne,northPlatte) # label(map6) # label(hypothesis).  [assumption].
% 0.43/0.95  8 next_to(northPlatte,grandIsland) # label(map7) # label(hypothesis).  [assumption].
% 0.43/0.95  9 next_to(grandIsland,lincoln) # label(map8) # label(hypothesis).  [assumption].
% 0.43/0.95  10 next_to(lincoln,omaha) # label(map9) # label(hypothesis).  [assumption].
% 0.43/0.95  11 next_to(omaha,desMoines) # label(map10) # label(hypothesis).  [assumption].
% 0.43/0.95  13 at(cheyenne,none,start,initial_situation) # label(initial) # label(hypothesis).  [assumption].
% 0.43/0.95  14 -at(desMoines,s(none),A,B) # label(prove_you_gat_get_there_with_bread) # label(negated_conjecture) # answer(prove_you_gat_get_there_with_bread).  [assumption].
% 0.43/0.95  15 -at(A,B,C,D) | at(A,B,s(C),wait_at(D)) # label(wait_in_city) # label(axiom).  [assumption].
% 0.43/0.95  16 -at(A,B,C,D) | at(A,s(B),s(C),buy(D)) # label(buy_in_city) # label(axiom).  [assumption].
% 0.43/0.95  22 -at(cheyenne,A,B,C) | at(northPlatte,A,s(s(B)),drive(northPlatte,C)).  [resolve(1,b,7,a)].
% 0.43/0.95  23 -at(northPlatte,A,B,C) | at(grandIsland,A,s(s(B)),drive(grandIsland,C)).  [resolve(1,b,8,a)].
% 0.43/0.95  24 -at(grandIsland,A,B,C) | at(lincoln,A,s(s(B)),drive(lincoln,C)).  [resolve(1,b,9,a)].
% 0.43/0.95  25 -at(lincoln,A,B,C) | at(omaha,A,s(s(B)),drive(omaha,C)).  [resolve(1,b,10,a)].
% 0.43/0.95  26 -at(omaha,A,B,C) | at(desMoines,A,s(s(B)),drive(desMoines,C)).  [resolve(1,b,11,a)].
% 0.43/0.95  37 at(cheyenne,none,s(start),wait_at(initial_situation)).  [ur(15,a,13,a)].
% 0.43/0.95  38 -at(desMoines,none,A,B) # answer(prove_you_gat_get_there_with_bread).  [resolve(16,b,14,a)].
% 0.43/0.95  44 at(northPlatte,none,s(s(s(start))),drive(northPlatte,wait_at(initial_situation))).  [ur(22,a,37,a)].
% 0.43/0.95  47 -at(omaha,none,A,B) # answer(prove_you_gat_get_there_with_bread).  [resolve(38,a,26,b)].
% 0.43/0.95  48 -at(lincoln,none,A,B) # answer(prove_you_gat_get_there_with_bread).  [resolve(47,a,25,b)].
% 0.43/0.95  49 -at(grandIsland,none,A,B) # answer(prove_you_gat_get_there_with_bread).  [resolve(48,a,24,b)].
% 0.43/0.95  50 -at(northPlatte,none,A,B) # answer(prove_you_gat_get_there_with_bread).  [resolve(49,a,23,b)].
% 0.43/0.95  51 $F # answer(prove_you_gat_get_there_with_bread).  [resolve(50,a,44,a)].
% 0.43/0.95  
% 0.43/0.95  % SZS output end Refutation
% 0.43/0.95  ============================== end of proof ==========================
% 0.43/0.95  
% 0.43/0.95  ============================== STATISTICS ============================
% 0.43/0.95  
% 0.43/0.95  Given=29. Generated=56. Kept=38. proofs=1.
% 0.43/0.95  Usable=29. Sos=8. Demods=0. Limbo=0, Disabled=36. Hints=0.
% 0.43/0.95  Megabytes=0.07.
% 0.43/0.95  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.43/0.95  
% 0.43/0.95  ============================== end of statistics =====================
% 0.43/0.95  
% 0.43/0.95  ============================== end of search =========================
% 0.43/0.95  
% 0.43/0.95  THEOREM PROVED
% 0.43/0.95  % SZS status Unsatisfiable
% 0.43/0.95  
% 0.43/0.95  Exiting with 1 proof.
% 0.43/0.95  
% 0.43/0.95  Process 20890 exit (max_proofs) Tue May 31 19:36:44 2022
% 0.43/0.95  Prover9 interrupted
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