TSTP Solution File: LCL673+1.005 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : LCL673+1.005 : TPTP v8.1.0. Released v4.0.0.
% 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 13:49:02 EDT 2022

% Result   : Timeout 300.03s 300.33s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL673+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.34  % Computer : n014.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 : Sat Jul  2 18:32:25 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.94/1.48  ============================== Prover9 ===============================
% 0.94/1.48  Prover9 (32) version 2009-11A, November 2009.
% 0.94/1.48  Process 7081 was started by sandbox on n014.cluster.edu,
% 0.94/1.48  Sat Jul  2 18:32:26 2022
% 0.94/1.48  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_6928_n014.cluster.edu".
% 0.94/1.48  ============================== end of head ===========================
% 0.94/1.48  
% 0.94/1.48  ============================== INPUT =================================
% 0.94/1.48  
% 0.94/1.48  % Reading from file /tmp/Prover9_6928_n014.cluster.edu
% 0.94/1.48  
% 0.94/1.48  set(prolog_style_variables).
% 0.94/1.48  set(auto2).
% 0.94/1.48      % set(auto2) -> set(auto).
% 0.94/1.48      % set(auto) -> set(auto_inference).
% 0.94/1.48      % set(auto) -> set(auto_setup).
% 0.94/1.48      % set(auto_setup) -> set(predicate_elim).
% 0.94/1.48      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.94/1.48      % set(auto) -> set(auto_limits).
% 0.94/1.48      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.94/1.48      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.94/1.48      % set(auto) -> set(auto_denials).
% 0.94/1.48      % set(auto) -> set(auto_process).
% 0.94/1.48      % set(auto2) -> assign(new_constants, 1).
% 0.94/1.48      % set(auto2) -> assign(fold_denial_max, 3).
% 0.94/1.48      % set(auto2) -> assign(max_weight, "200.000").
% 0.94/1.48      % set(auto2) -> assign(max_hours, 1).
% 0.94/1.48      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.94/1.48      % set(auto2) -> assign(max_seconds, 0).
% 0.94/1.48      % set(auto2) -> assign(max_minutes, 5).
% 0.94/1.48      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.94/1.48      % set(auto2) -> set(sort_initial_sos).
% 0.94/1.48      % set(auto2) -> assign(sos_limit, -1).
% 0.94/1.48      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.94/1.48      % set(auto2) -> assign(max_megs, 400).
% 0.94/1.48      % set(auto2) -> assign(stats, some).
% 0.94/1.48      % set(auto2) -> clear(echo_input).
% 0.94/1.48      % set(auto2) -> set(quiet).
% 0.94/1.48      % set(auto2) -> clear(print_initial_clauses).
% 0.94/1.48      % set(auto2) -> clear(print_given).
% 0.94/1.48  assign(lrs_ticks,-1).
% 0.94/1.48  assign(sos_limit,10000).
% 0.94/1.48  assign(order,kbo).
% 0.94/1.48  set(lex_order_vars).
% 0.94/1.48  clear(print_given).
% 0.94/1.48  
% 0.94/1.48  % formulas(sos).  % not echoed (3 formulas)
% 0.94/1.48  
% 0.94/1.48  ============================== end of input ==========================
% 0.94/1.48  
% 0.94/1.48  % From the command line: assign(max_seconds, 300).
% 0.94/1.48  
% 0.94/1.48  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.94/1.48  
% 0.94/1.48  % Formulas that are not ordinary clauses:
% 0.94/1.48  1 (all X r1(X,X)) # label(reflexivity) # label(axiom) # label(non_clause).  [assumption].
% 0.94/1.48  2 (all X all Y all Z (r1(X,Y) & r1(Y,Z) -> r1(X,Z))) # label(transitivity) # label(axiom) # label(non_clause).  [assumption].
% 0.94/1.48  3 --(exists X -(-(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | p2(X))) & -(all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | p2(X))) & -(all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-p1(Y) & (all X (-r1(Y,X) | p1(X))) & (all X (-r1(Y,X) | p1(X) | -(all Y (-r1(X,Y) | p1(Y)))))))) & -(all Y (-r1(X,Y) | p1(Y)))))) & -(all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y)))))) & -(all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y))) | -(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | p2(X))) & -(all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | p2(X))) & -(all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | (all Y (-r1(X,Y) | -(-p1(Y) & (all X (-r1(Y,X) | p1(X)))))))) & (all X (-r1(Y,X) | p1(X) | -(all Y (-r1(X,Y) | p1(Y)))))))) & -(all Y (-r1(X,Y) | p1(Y)))))) & -(all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y)))))) & -(all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y))) | -(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | p2(X))) & -(all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | p2(X))) & -(all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-p1(Y) & (all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y)))))) & -(all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y)))))) & -(all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y))) | -(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | p2(X))) & -(all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | p2(X))) & -(all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | (all Y (-r1(X,Y) | -(all X (-r1(Y,X) | -p1(X))))))) & (all X (-r1(Y,X) | -(all Y (-r1(X,Y) | -p1(Y)))))))) & -(all Y (-r1(X,Y) | p1(Y)))))) & -(all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y)))))) & -(all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y))) | -(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | p2(X))) & -(all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | p2(X))) & -(all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | (all Y (-r1(X,Y) | p1(Y))))) & (all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y)))))) & -(all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y)))))) & -(all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y))) | (all Y (-r1(X,Y) | p2(Y))) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | p2(X))) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | p2(Y))) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | p2(X))) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | p2(Y))) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | -(all Y (-r1(X,Y) | p1(Y))))) | (all X (-r1(Y,X) | p1(X))))) | (all Y (-r1(X,Y) | p1(Y))))) | (all X (-r1(Y,X) | p1(X))))) | (all Y (-r1(X,Y) | p1(Y))))) | (all X (-r1(Y,X) | p1(X))))) | (all Y (-r1(X,Y) | p1(Y))) | -(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | p2(X))) & -(all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | p2(X))) & -(all X (-r1(Y,X) | -(-p1(X) & (all Y (-r1(X,Y) | p1(Y))) & (all Y (-r1(X,Y) | p1(Y) | -(all X (-r1(Y,X) | p1(X)))))))) & -(all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y)))))) & -(all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y))) | -(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | p2(X))) & -(all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | p2(X))) & -(all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | (all X (-r1(Y,X) | -(-p1(X) & (all Y (-r1(X,Y) | p1(Y)))))))) & (all Y (-r1(X,Y) | p1(Y) | -(all X (-r1(Y,X) | p1(X)))))))) & -(all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y)))))) & -(all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y))) | -(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | p2(X))) & -(all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | p2(X))) & -(all X (-r1(Y,X) | -(-p1(X) & (all Y (-r1(X,Y) | p1(Y)))))) & -(all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y)))))) & -(all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y))) | -(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | p2(X))) & -(all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | p2(X))) & -(all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | (all X (-r1(Y,X) | -(all Y (-r1(X,Y) | -p1(Y))))))) & (all Y (-r1(X,Y) | -(all X (-r1(Y,X) | -p1(X)))))))) & -(all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y)))))) & -(all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y))) | -(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | p2(X))) & -(all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | p2(X))) & -(all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | (all X (-r1(Y,X) | p1(X))))) & (all Y (-r1(X,Y) | p1(Y)))))) & -(all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y)))))) & -(all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y))) | (all Y (-r1(X,Y) | p2(Y))) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | p2(X))) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | p2(Y))) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | p2(X))) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | p2(Y))) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | -(all Y (-r1(X,Y) | p1(Y))))) | (all X (-r1(Y,X) | p1(X))))) | (all Y (-r1(X,Y) | p1(Y))))) | (all X (-r1(Y,X) | p1(X))))) | (all Y (-r1(X,Y) | p1(Y))))) | (all X (-r1(Y,X) | p1(X))))) | (all Y (-r1(X,Y) | p1(Y))) | -(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | p2(X))) & -(all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-p1(Y) & (all X (-r1(Y,X) | p1(X))) & (all X (-r1(Y,X) | p1(X) | -(all Y (-r1(X,Y) | p1(Y)))))))) & -(all Y (-r1(X,Y) | p1(Y)))))) & -(all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y))) | -(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | p2(X))) & -(all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | (all Y (-r1(X,Y) | -(-p1(Y) & (all X (-r1(Y,X) | p1(X)))))))) & (all X (-r1(Y,X) | p1(X) | -(all Y (-r1(X,Y) | p1(Y)))))))) & -(all Y (-r1(X,Y) | p1(Y)))))) & -(all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y))) | -(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | p2(X))) & -(all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-p1(Y) & (all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y)))))) & -(all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y))) | -(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | p2(X))) & -(all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | (all Y (-r1(X,Y) | -(all X (-r1(Y,X) | -p1(X))))))) & (all X (-r1(Y,X) | -(all Y (-r1(X,Y) | -p1(Y)))))))) & -(all Y (-r1(X,Y) | p1(Y)))))) & -(all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y))) | -(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | p2(X))) & -(all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | (all Y (-r1(X,Y) | p1(Y))))) & (all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y)))))) & -(all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y))) | (all Y (-r1(X,Y) | p2(Y))) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | p2(X))) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | p2(Y))) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | p2(X))) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | p2(Y))) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | -(all Y (-r1(X,Y) | p1(Y))))) | (all X (-r1(Y,X) | p1(X))))) | (all Y (-r1(X,Y) | p1(Y))))) | (all X (-r1(Y,X) | p1(X))))) | (all Y (-r1(X,Y) | p1(Y))))) | (all X (-r1(Y,X) | p1(X))))) | (all Y (-r1(X,Y) | p1(Y))) | -(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | p2(X))) & -(all X (-r1(Y,X) | -(-p1(X) & (all Y (-r1(X,Y) | p1(Y))) & (all Y (-r1(X,Y) | p1(Y) | -(all X (-r1(Y,X) | p1(X)))))))) & -(all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y))) | -(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | p2(X))) & -(all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | (all X (-r1(Y,X) | -(-p1(X) & (all Y (-r1(X,Y) | p1(Y)))))))) & (all Y (-r1(X,Y) | p1(Y) | -(all X (-r1(Y,X) | p1(X)))))))) & -(all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y))) | -(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | p2(X))) & -(all X (-r1(Y,X) | -(-p1(X) & (all Y (-r1(X,Y) | p1(Y)))))) & -(all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y))) | -(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | p2(X))) & -(all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | (all X (-r1(Y,X) | -(all Y (-r1(X,Y) | -p1(Y))))))) & (all Y (-r1(X,Y) | -(all X (-r1(Y,X) | -p1(X)))))))) & -(all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y))) | -(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | p2(X))) & -(all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | (all X (-r1(Y,X) | p1(X))))) & (all Y (-r1(X,Y) | p1(Y)))))) & -(all X (-r1(Y,X) | p1(X)))))) & -(all Y (-r1(X,Y) | p1(Y))) | (all Y (-r1(X,Y) | p2(Y))) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | p2(X))) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | p2(Y))) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | p2(X))) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | p2(Y))) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | -(all Y (-r1(X,Y) | p1(Y))))) | (all X (-r1(Y,X) | p1(X))))) | (all Y (-r1(X,Y) | p1(Y))))) | (all X (-r1(Y,X) | p1(X))))) | (all Y (-r1(X,Y) | p1(Y))))) | (all X (-r1(Y,X) | p1(X))))) | (all Y (-r1(X,Y) | p1(Y))) | -(all Y (-r1(X,Y) | p2(Y))) & -(all Y (-r1(X,Y) | -(-p1(Y) & (all X (-r1(Y,X) | p1(X))) & (all X (-r1(Y,X) | p1(X) | -(all Y (-r1(X,Y) | p1(Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------