TSTP Solution File: LAT034-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : LAT034-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n015.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 06:25:13 EDT 2022

% Result   : Unsatisfiable 0.42s 0.99s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LAT034-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.03/0.11  % Command  : tptp2X_and_run_prover9 %d %s
% 0.11/0.32  % Computer : n015.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Thu Jun 30 07:23:26 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.42/0.99  ============================== Prover9 ===============================
% 0.42/0.99  Prover9 (32) version 2009-11A, November 2009.
% 0.42/0.99  Process 26941 was started by sandbox on n015.cluster.edu,
% 0.42/0.99  Thu Jun 30 07:23:27 2022
% 0.42/0.99  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_26638_n015.cluster.edu".
% 0.42/0.99  ============================== end of head ===========================
% 0.42/0.99  
% 0.42/0.99  ============================== INPUT =================================
% 0.42/0.99  
% 0.42/0.99  % Reading from file /tmp/Prover9_26638_n015.cluster.edu
% 0.42/0.99  
% 0.42/0.99  set(prolog_style_variables).
% 0.42/0.99  set(auto2).
% 0.42/0.99      % set(auto2) -> set(auto).
% 0.42/0.99      % set(auto) -> set(auto_inference).
% 0.42/0.99      % set(auto) -> set(auto_setup).
% 0.42/0.99      % set(auto_setup) -> set(predicate_elim).
% 0.42/0.99      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.42/0.99      % set(auto) -> set(auto_limits).
% 0.42/0.99      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.42/0.99      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.42/0.99      % set(auto) -> set(auto_denials).
% 0.42/0.99      % set(auto) -> set(auto_process).
% 0.42/0.99      % set(auto2) -> assign(new_constants, 1).
% 0.42/0.99      % set(auto2) -> assign(fold_denial_max, 3).
% 0.42/0.99      % set(auto2) -> assign(max_weight, "200.000").
% 0.42/0.99      % set(auto2) -> assign(max_hours, 1).
% 0.42/0.99      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.42/0.99      % set(auto2) -> assign(max_seconds, 0).
% 0.42/0.99      % set(auto2) -> assign(max_minutes, 5).
% 0.42/0.99      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.42/0.99      % set(auto2) -> set(sort_initial_sos).
% 0.42/0.99      % set(auto2) -> assign(sos_limit, -1).
% 0.42/0.99      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.42/0.99      % set(auto2) -> assign(max_megs, 400).
% 0.42/0.99      % set(auto2) -> assign(stats, some).
% 0.42/0.99      % set(auto2) -> clear(echo_input).
% 0.42/0.99      % set(auto2) -> set(quiet).
% 0.42/0.99      % set(auto2) -> clear(print_initial_clauses).
% 0.42/0.99      % set(auto2) -> clear(print_given).
% 0.42/0.99  assign(lrs_ticks,-1).
% 0.42/0.99  assign(sos_limit,10000).
% 0.42/0.99  assign(order,kbo).
% 0.42/0.99  set(lex_order_vars).
% 0.42/0.99  clear(print_given).
% 0.42/0.99  
% 0.42/0.99  % formulas(sos).  % not echoed (7 formulas)
% 0.42/0.99  
% 0.42/0.99  ============================== end of input ==========================
% 0.42/0.99  
% 0.42/0.99  % From the command line: assign(max_seconds, 300).
% 0.42/0.99  
% 0.42/0.99  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.42/0.99  
% 0.42/0.99  % Formulas that are not ordinary clauses:
% 0.42/0.99  
% 0.42/0.99  ============================== end of process non-clausal formulas ===
% 0.42/0.99  
% 0.42/0.99  ============================== PROCESS INITIAL CLAUSES ===============
% 0.42/0.99  
% 0.42/0.99  ============================== PREDICATE ELIMINATION =================
% 0.42/0.99  
% 0.42/0.99  ============================== end predicate elimination =============
% 0.42/0.99  
% 0.42/0.99  Auto_denials:
% 0.42/0.99    % copying label idempotence_of_meet to answer in negative clause
% 0.42/0.99  
% 0.42/0.99  Term ordering decisions:
% 0.42/0.99  Function symbol KB weights:  xx=1. join=1. meet=1.
% 0.42/0.99  
% 0.42/0.99  ============================== end of process initial clauses ========
% 0.42/0.99  
% 0.42/0.99  ============================== CLAUSES FOR SEARCH ====================
% 0.42/0.99  
% 0.42/0.99  ============================== end of clauses for search =============
% 0.42/0.99  
% 0.42/0.99  ============================== SEARCH ================================
% 0.42/0.99  
% 0.42/0.99  % Starting search at 0.01 seconds.
% 0.42/0.99  
% 0.42/0.99  ============================== PROOF =================================
% 0.42/0.99  % SZS status Unsatisfiable
% 0.42/0.99  % SZS output start Refutation
% 0.42/0.99  
% 0.42/0.99  % Proof 1 at 0.01 (+ 0.00) seconds: idempotence_of_meet.
% 0.42/0.99  % Length of proof is 5.
% 0.42/0.99  % Level of proof is 2.
% 0.42/0.99  % Maximum clause weight is 7.000.
% 0.42/0.99  % Given clauses 2.
% 0.42/0.99  
% 0.42/0.99  1 meet(A,join(A,B)) = A # label(absorption1) # label(axiom).  [assumption].
% 0.42/0.99  2 join(A,meet(A,B)) = A # label(absorption2) # label(axiom).  [assumption].
% 0.42/0.99  9 meet(xx,xx) != xx # label(idempotence_of_meet) # label(negated_conjecture) # answer(idempotence_of_meet).  [assumption].
% 0.42/0.99  10 meet(A,A) = A.  [para(2(a,1),1(a,1,2))].
% 0.42/0.99  11 $F # answer(idempotence_of_meet).  [resolve(10,a,9,a)].
% 0.42/0.99  
% 0.42/0.99  % SZS output end Refutation
% 0.42/0.99  ============================== end of proof ==========================
% 0.42/0.99  
% 0.42/0.99  ============================== STATISTICS ============================
% 0.42/0.99  
% 0.42/0.99  Given=2. Generated=9. Kept=8. proofs=1.
% 0.42/0.99  Usable=2. Sos=5. Demods=6. Limbo=0, Disabled=7. Hints=0.
% 0.42/0.99  Megabytes=0.03.
% 0.42/0.99  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.42/0.99  
% 0.42/0.99  ============================== end of statistics =====================
% 0.42/0.99  
% 0.42/0.99  ============================== end of search =========================
% 0.42/0.99  
% 0.42/0.99  THEOREM PROVED
% 0.42/0.99  % SZS status Unsatisfiable
% 0.42/0.99  
% 0.42/0.99  Exiting with 1 proof.
% 0.42/0.99  
% 0.42/0.99  Process 26941 exit (max_proofs) Thu Jun 30 07:23:27 2022
% 0.42/0.99  Prover9 interrupted
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