TSTP Solution File: GRP136-1 by Prover9---1109a

View Problem - Process Solution

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% File     : Prover9---1109a
% Problem  : GRP136-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n004.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 : Sat Jul 16 11:17:41 EDT 2022

% Result   : Unsatisfiable 0.43s 0.97s
% Output   : Refutation 0.43s
% 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  : GRP136-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.10/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n004.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jun 14 13:38:09 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.43/0.97  ============================== Prover9 ===============================
% 0.43/0.97  Prover9 (32) version 2009-11A, November 2009.
% 0.43/0.97  Process 32263 was started by sandbox on n004.cluster.edu,
% 0.43/0.97  Tue Jun 14 13:38:09 2022
% 0.43/0.97  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_32110_n004.cluster.edu".
% 0.43/0.97  ============================== end of head ===========================
% 0.43/0.97  
% 0.43/0.97  ============================== INPUT =================================
% 0.43/0.97  
% 0.43/0.97  % Reading from file /tmp/Prover9_32110_n004.cluster.edu
% 0.43/0.97  
% 0.43/0.97  set(prolog_style_variables).
% 0.43/0.97  set(auto2).
% 0.43/0.97      % set(auto2) -> set(auto).
% 0.43/0.97      % set(auto) -> set(auto_inference).
% 0.43/0.97      % set(auto) -> set(auto_setup).
% 0.43/0.97      % set(auto_setup) -> set(predicate_elim).
% 0.43/0.97      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.43/0.97      % set(auto) -> set(auto_limits).
% 0.43/0.97      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.43/0.97      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.43/0.97      % set(auto) -> set(auto_denials).
% 0.43/0.97      % set(auto) -> set(auto_process).
% 0.43/0.97      % set(auto2) -> assign(new_constants, 1).
% 0.43/0.97      % set(auto2) -> assign(fold_denial_max, 3).
% 0.43/0.97      % set(auto2) -> assign(max_weight, "200.000").
% 0.43/0.97      % set(auto2) -> assign(max_hours, 1).
% 0.43/0.97      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.43/0.97      % set(auto2) -> assign(max_seconds, 0).
% 0.43/0.97      % set(auto2) -> assign(max_minutes, 5).
% 0.43/0.97      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.43/0.97      % set(auto2) -> set(sort_initial_sos).
% 0.43/0.97      % set(auto2) -> assign(sos_limit, -1).
% 0.43/0.97      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.43/0.97      % set(auto2) -> assign(max_megs, 400).
% 0.43/0.97      % set(auto2) -> assign(stats, some).
% 0.43/0.97      % set(auto2) -> clear(echo_input).
% 0.43/0.97      % set(auto2) -> set(quiet).
% 0.43/0.97      % set(auto2) -> clear(print_initial_clauses).
% 0.43/0.97      % set(auto2) -> clear(print_given).
% 0.43/0.97  assign(lrs_ticks,-1).
% 0.43/0.97  assign(sos_limit,10000).
% 0.43/0.97  assign(order,kbo).
% 0.43/0.97  set(lex_order_vars).
% 0.43/0.97  clear(print_given).
% 0.43/0.97  
% 0.43/0.97  % formulas(sos).  % not echoed (18 formulas)
% 0.43/0.97  
% 0.43/0.97  ============================== end of input ==========================
% 0.43/0.97  
% 0.43/0.97  % From the command line: assign(max_seconds, 300).
% 0.43/0.97  
% 0.43/0.97  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.43/0.97  
% 0.43/0.97  % Formulas that are not ordinary clauses:
% 0.43/0.97  
% 0.43/0.97  ============================== end of process non-clausal formulas ===
% 0.43/0.97  
% 0.43/0.97  ============================== PROCESS INITIAL CLAUSES ===============
% 0.43/0.97  
% 0.43/0.97  ============================== PREDICATE ELIMINATION =================
% 0.43/0.97  
% 0.43/0.97  ============================== end predicate elimination =============
% 0.43/0.97  
% 0.43/0.97  Auto_denials:
% 0.43/0.97    % copying label prove_ax_antisyma to answer in negative clause
% 0.43/0.97  
% 0.43/0.97  Term ordering decisions:
% 0.43/0.97  
% 0.43/0.97  % Assigning unary symbol inverse kb_weight 0 and highest precedence (8).
% 0.43/0.97  Function symbol KB weights:  a=1. b=1. identity=1. multiply=1. least_upper_bound=1. greatest_lower_bound=1. inverse=0.
% 0.43/0.97  
% 0.43/0.97  ============================== PROOF =================================
% 0.43/0.97  % SZS status Unsatisfiable
% 0.43/0.97  % SZS output start Refutation
% 0.43/0.97  
% 0.43/0.97  % Proof 1 at 0.01 (+ 0.00) seconds: prove_ax_antisyma.
% 0.43/0.97  % Length of proof is 5.
% 0.43/0.97  % Level of proof is 2.
% 0.43/0.97  % Maximum clause weight is 5.000.
% 0.43/0.97  % Given clauses 0.
% 0.43/0.97  
% 0.43/0.97  4 least_upper_bound(a,b) = b # label(ax_antisyma_1) # label(hypothesis).  [assumption].
% 0.43/0.97  5 least_upper_bound(a,b) = a # label(ax_antisyma_2) # label(hypothesis).  [assumption].
% 0.43/0.97  6 b = a.  [copy(5),rewrite([4(3)])].
% 0.43/0.97  25 a != b # label(prove_ax_antisyma) # label(negated_conjecture) # answer(prove_ax_antisyma).  [assumption].
% 0.43/0.97  26 $F # answer(prove_ax_antisyma).  [copy(25),rewrite([6(2)]),xx(a)].
% 0.43/0.97  
% 0.43/0.97  % SZS output end Refutation
% 0.43/0.97  ============================== end of proof ==========================
% 0.43/0.97  
% 0.43/0.97  ============================== STATISTICS ============================
% 0.43/0.97  
% 0.43/0.97  Given=0. Generated=18. Kept=17. proofs=1.
% 0.43/0.97  Usable=0. Sos=0. Demods=17. Limbo=17, Disabled=18. Hints=0.
% 0.43/0.97  Megabytes=0.03.
% 0.43/0.97  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.43/0.97  
% 0.43/0.97  ============================== end of statistics =====================
% 0.43/0.97  
% 0.43/0.97  ============================== end of search =========================
% 0.43/0.97  
% 0.43/0.97  THEOREM PROVED
% 0.43/0.97  % SZS status Unsatisfiable
% 0.43/0.97  
% 0.43/0.97  Exiting with 1 proof.
% 0.43/0.97  
% 0.43/0.97  Process 32263 exit (max_proofs) Tue Jun 14 13:38:09 2022
% 0.43/0.97  Prover9 interrupted
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