TSTP Solution File: SWV011+1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWV011+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n023.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 : Wed Jul 20 21:10:13 EDT 2022

% Result   : Theorem 0.47s 1.04s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SWV011+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.14  % Command  : tptp2X_and_run_prover9 %d %s
% 0.15/0.36  % Computer : n023.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Wed Jun 15 07:44:50 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.47/1.04  ============================== Prover9 ===============================
% 0.47/1.04  Prover9 (32) version 2009-11A, November 2009.
% 0.47/1.04  Process 6339 was started by sandbox on n023.cluster.edu,
% 0.47/1.04  Wed Jun 15 07:44:51 2022
% 0.47/1.04  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_5956_n023.cluster.edu".
% 0.47/1.04  ============================== end of head ===========================
% 0.47/1.04  
% 0.47/1.04  ============================== INPUT =================================
% 0.47/1.04  
% 0.47/1.04  % Reading from file /tmp/Prover9_5956_n023.cluster.edu
% 0.47/1.04  
% 0.47/1.04  set(prolog_style_variables).
% 0.47/1.04  set(auto2).
% 0.47/1.04      % set(auto2) -> set(auto).
% 0.47/1.04      % set(auto) -> set(auto_inference).
% 0.47/1.04      % set(auto) -> set(auto_setup).
% 0.47/1.04      % set(auto_setup) -> set(predicate_elim).
% 0.47/1.04      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.47/1.04      % set(auto) -> set(auto_limits).
% 0.47/1.04      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.47/1.04      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.47/1.04      % set(auto) -> set(auto_denials).
% 0.47/1.04      % set(auto) -> set(auto_process).
% 0.47/1.04      % set(auto2) -> assign(new_constants, 1).
% 0.47/1.04      % set(auto2) -> assign(fold_denial_max, 3).
% 0.47/1.04      % set(auto2) -> assign(max_weight, "200.000").
% 0.47/1.04      % set(auto2) -> assign(max_hours, 1).
% 0.47/1.04      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.47/1.04      % set(auto2) -> assign(max_seconds, 0).
% 0.47/1.04      % set(auto2) -> assign(max_minutes, 5).
% 0.47/1.04      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.47/1.04      % set(auto2) -> set(sort_initial_sos).
% 0.47/1.04      % set(auto2) -> assign(sos_limit, -1).
% 0.47/1.04      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.47/1.04      % set(auto2) -> assign(max_megs, 400).
% 0.47/1.04      % set(auto2) -> assign(stats, some).
% 0.47/1.04      % set(auto2) -> clear(echo_input).
% 0.47/1.04      % set(auto2) -> set(quiet).
% 0.47/1.04      % set(auto2) -> clear(print_initial_clauses).
% 0.47/1.04      % set(auto2) -> clear(print_given).
% 0.47/1.04  assign(lrs_ticks,-1).
% 0.47/1.04  assign(sos_limit,10000).
% 0.47/1.04  assign(order,kbo).
% 0.47/1.04  set(lex_order_vars).
% 0.47/1.04  clear(print_given).
% 0.47/1.04  
% 0.47/1.04  % formulas(sos).  % not echoed (17 formulas)
% 0.47/1.04  
% 0.47/1.04  ============================== end of input ==========================
% 0.47/1.04  
% 0.47/1.04  % From the command line: assign(max_seconds, 300).
% 0.47/1.04  
% 0.47/1.04  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.47/1.04  
% 0.47/1.04  % Formulas that are not ordinary clauses:
% 0.47/1.04  1 -(exists U (a_holds(key(U,b)) & b_holds(key(U,a)))) # label(co1) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.47/1.04  
% 0.47/1.04  ============================== end of process non-clausal formulas ===
% 0.47/1.04  
% 0.47/1.04  ============================== PROCESS INITIAL CLAUSES ===============
% 0.47/1.04  
% 0.47/1.04  ============================== PREDICATE ELIMINATION =================
% 0.47/1.04  2 -a_holds(key(A,b)) | -b_holds(key(A,a)) # label(co1) # label(negated_conjecture).  [clausify(1)].
% 0.47/1.04  3 a_holds(key(at,t)) # label(a_holds_key_at_for_t) # label(axiom).  [assumption].
% 0.47/1.04  4 a_holds(key(generate_key(an_a_nonce),b)) # label(ax3) # label(axiom).  [assumption].
% 0.47/1.04  Derived: -b_holds(key(generate_key(an_a_nonce),a)).  [resolve(2,a,4,a)].
% 0.47/1.04  5 -b_holds(key(generate_key(an_a_nonce),a)).  [resolve(2,a,4,a)].
% 0.47/1.04  6 b_holds(key(bt,t)) # label(b_hold_key_bt_for_t) # label(axiom).  [assumption].
% 0.47/1.04  7 b_holds(key(generate_key(an_a_nonce),a)) # label(ax1) # label(axiom).  [assumption].
% 0.47/1.04  Derived: $F.  [resolve(5,a,7,a)].
% 0.47/1.04  
% 0.47/1.04  ============================== end predicate elimination =============
% 0.47/1.04  
% 0.47/1.04  Auto_denials:  (no changes).
% 0.47/1.04  
% 0.47/1.04  Term ordering decisions:
% 0.47/1.04  Function symbol KB weights: 
% 0.47/1.04  
% 0.47/1.04  ============================== PROOF =================================
% 0.47/1.04  % SZS status Theorem
% 0.47/1.04  % SZS output start Refutation
% 0.47/1.04  
% 0.47/1.04  % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.47/1.04  % Length of proof is 6.
% 0.47/1.04  % Level of proof is 3.
% 0.47/1.04  % Maximum clause weight is 0.000.
% 0.47/1.04  % Given clauses 0.
% 0.47/1.04  
% 0.47/1.04  1 -(exists U (a_holds(key(U,b)) & b_holds(key(U,a)))) # label(co1) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.47/1.04  2 -a_holds(key(A,b)) | -b_holds(key(A,a)) # label(co1) # label(negated_conjecture).  [clausify(1)].
% 0.47/1.04  4 a_holds(key(generate_key(an_a_nonce),b)) # label(ax3) # label(axiom).  [assumption].
% 0.47/1.04  5 -b_holds(key(generate_key(an_a_nonce),a)).  [resolve(2,a,4,a)].
% 0.47/1.04  7 b_holds(key(generate_key(an_a_nonce),a)) # label(ax1) # label(axiom).  [assumption].
% 0.47/1.04  8 $F.  [resolve(5,a,7,a)].
% 0.47/1.04  
% 0.47/1.04  % SZS output end Refutation
% 0.47/1.04  ============================== end of proof ==========================
% 0.47/1.04  
% 0.47/1.04  ============================== STATISTICS ============================
% 0.47/1.04  
% 0.47/1.04  Given=0. Generated=1. Kept=0. proofs=1.
% 0.47/1.04  Usable=0. Sos=0. Demods=0. Limbo=0, Disabled=19. Hints=0.
% 0.47/1.04  Megabytes=0.02.
% 0.47/1.04  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.47/1.04  
% 0.47/1.04  ============================== end of statistics =====================
% 0.47/1.04  
% 0.47/1.04  ============================== end of search =========================
% 0.47/1.04  
% 0.47/1.04  THEOREM PROVED
% 0.47/1.04  % SZS status Theorem
% 0.47/1.04  
% 0.47/1.04  Exiting with 1 proof.
% 0.47/1.04  
% 0.47/1.04  Process 6339 exit (max_proofs) Wed Jun 15 07:44:51 2022
% 0.47/1.04  Prover9 interrupted
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