TSTP Solution File: LCL117-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : LCL117-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n014.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 : Sun Jul 17 13:44:11 EDT 2022

% Result   : Unsatisfiable 0.67s 0.97s
% Output   : Refutation 0.67s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LCL117-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.33  % Computer : n014.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jul  4 23:28:23 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.67/0.97  ============================== Prover9 ===============================
% 0.67/0.97  Prover9 (32) version 2009-11A, November 2009.
% 0.67/0.97  Process 25261 was started by sandbox on n014.cluster.edu,
% 0.67/0.97  Mon Jul  4 23:28:24 2022
% 0.67/0.97  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_25108_n014.cluster.edu".
% 0.67/0.97  ============================== end of head ===========================
% 0.67/0.97  
% 0.67/0.97  ============================== INPUT =================================
% 0.67/0.97  
% 0.67/0.97  % Reading from file /tmp/Prover9_25108_n014.cluster.edu
% 0.67/0.97  
% 0.67/0.97  set(prolog_style_variables).
% 0.67/0.97  set(auto2).
% 0.67/0.97      % set(auto2) -> set(auto).
% 0.67/0.97      % set(auto) -> set(auto_inference).
% 0.67/0.97      % set(auto) -> set(auto_setup).
% 0.67/0.97      % set(auto_setup) -> set(predicate_elim).
% 0.67/0.97      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.67/0.97      % set(auto) -> set(auto_limits).
% 0.67/0.97      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.67/0.97      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.67/0.97      % set(auto) -> set(auto_denials).
% 0.67/0.97      % set(auto) -> set(auto_process).
% 0.67/0.97      % set(auto2) -> assign(new_constants, 1).
% 0.67/0.97      % set(auto2) -> assign(fold_denial_max, 3).
% 0.67/0.97      % set(auto2) -> assign(max_weight, "200.000").
% 0.67/0.97      % set(auto2) -> assign(max_hours, 1).
% 0.67/0.97      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.67/0.97      % set(auto2) -> assign(max_seconds, 0).
% 0.67/0.97      % set(auto2) -> assign(max_minutes, 5).
% 0.67/0.97      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.67/0.97      % set(auto2) -> set(sort_initial_sos).
% 0.67/0.97      % set(auto2) -> assign(sos_limit, -1).
% 0.67/0.97      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.67/0.97      % set(auto2) -> assign(max_megs, 400).
% 0.67/0.97      % set(auto2) -> assign(stats, some).
% 0.67/0.97      % set(auto2) -> clear(echo_input).
% 0.67/0.97      % set(auto2) -> set(quiet).
% 0.67/0.97      % set(auto2) -> clear(print_initial_clauses).
% 0.67/0.97      % set(auto2) -> clear(print_given).
% 0.67/0.97  assign(lrs_ticks,-1).
% 0.67/0.97  assign(sos_limit,10000).
% 0.67/0.97  assign(order,kbo).
% 0.67/0.97  set(lex_order_vars).
% 0.67/0.97  clear(print_given).
% 0.67/0.97  
% 0.67/0.97  % formulas(sos).  % not echoed (3 formulas)
% 0.67/0.97  
% 0.67/0.97  ============================== end of input ==========================
% 0.67/0.97  
% 0.67/0.97  % From the command line: assign(max_seconds, 300).
% 0.67/0.97  
% 0.67/0.97  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.67/0.97  
% 0.67/0.97  % Formulas that are not ordinary clauses:
% 0.67/0.97  
% 0.67/0.97  ============================== end of process non-clausal formulas ===
% 0.67/0.97  
% 0.67/0.97  ============================== PROCESS INITIAL CLAUSES ===============
% 0.67/0.97  
% 0.67/0.97  ============================== PREDICATE ELIMINATION =================
% 0.67/0.97  
% 0.67/0.97  ============================== end predicate elimination =============
% 0.67/0.97  
% 0.67/0.97  Auto_denials:
% 0.67/0.97    % copying label prove_qyf to answer in negative clause
% 0.67/0.97  
% 0.67/0.97  Term ordering decisions:
% 0.67/0.97  Function symbol KB weights:  a=1. b=1. c=1. equivalent=1.
% 0.67/0.97  
% 0.67/0.97  ============================== end of process initial clauses ========
% 0.67/0.97  
% 0.67/0.97  ============================== CLAUSES FOR SEARCH ====================
% 0.67/0.97  
% 0.67/0.97  ============================== end of clauses for search =============
% 0.67/0.97  
% 0.67/0.97  ============================== SEARCH ================================
% 0.67/0.97  
% 0.67/0.97  % Starting search at 0.01 seconds.
% 0.67/0.97  
% 0.67/0.97  ============================== PROOF =================================
% 0.67/0.97  % SZS status Unsatisfiable
% 0.67/0.97  % SZS output start Refutation
% 0.67/0.97  
% 0.67/0.97  % Proof 1 at 0.01 (+ 0.00) seconds: prove_qyf.
% 0.67/0.97  % Length of proof is 7.
% 0.67/0.97  % Level of proof is 4.
% 0.67/0.97  % Maximum clause weight is 16.000.
% 0.67/0.97  % Given clauses 5.
% 0.67/0.97  
% 0.67/0.97  1 is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(C,B),equivalent(C,A)))) # label(yqm) # label(axiom).  [assumption].
% 0.67/0.97  2 -is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(c,b))) # label(prove_qyf) # label(negated_conjecture) # answer(prove_qyf).  [assumption].
% 0.67/0.97  3 -is_a_theorem(equivalent(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom).  [assumption].
% 0.67/0.97  4 is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(B,D))),equivalent(A,equivalent(D,C)))).  [hyper(3,a,1,a,b,1,a)].
% 0.67/0.97  7 is_a_theorem(equivalent(equivalent(A,B),equivalent(A,B))).  [hyper(3,a,4,a,b,1,a)].
% 0.67/0.97  8 is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(A,C)),equivalent(C,B))).  [hyper(3,a,4,a,b,7,a)].
% 0.67/0.97  9 $F # answer(prove_qyf).  [resolve(8,a,2,a)].
% 0.67/0.97  
% 0.67/0.97  % SZS output end Refutation
% 0.67/0.97  ============================== end of proof ==========================
% 0.67/0.97  
% 0.67/0.97  ============================== STATISTICS ============================
% 0.67/0.97  
% 0.67/0.97  Given=5. Generated=10. Kept=8. proofs=1.
% 0.67/0.97  Usable=5. Sos=2. Demods=0. Limbo=0, Disabled=3. Hints=0.
% 0.67/0.97  Megabytes=0.03.
% 0.67/0.97  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.67/0.97  
% 0.67/0.97  ============================== end of statistics =====================
% 0.67/0.97  
% 0.67/0.97  ============================== end of search =========================
% 0.67/0.97  
% 0.67/0.97  THEOREM PROVED
% 0.67/0.97  % SZS status Unsatisfiable
% 0.67/0.97  
% 0.67/0.97  Exiting with 1 proof.
% 0.67/0.97  
% 0.67/0.97  Process 25261 exit (max_proofs) Mon Jul  4 23:28:24 2022
% 0.67/0.97  Prover9 interrupted
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