TSTP Solution File: NUM023-1 by Prover9---1109a

View Problem - Process Solution

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% File     : Prover9---1109a
% Problem  : NUM023-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n028.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 : Mon Jul 18 13:24:43 EDT 2022

% Result   : Unsatisfiable 0.43s 0.99s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
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%----No solution output by system
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM023-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.13/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.33  % Computer : n028.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 : Wed Jul  6 03:34:21 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.43/0.99  
% 0.43/0.99  WARNING: denials share constants (see output).
% 0.43/0.99  
% 0.43/0.99  ============================== Prover9 ===============================
% 0.43/0.99  Prover9 (32) version 2009-11A, November 2009.
% 0.43/0.99  Process 27283 was started by sandbox on n028.cluster.edu,
% 0.43/0.99  Wed Jul  6 03:34:22 2022
% 0.43/0.99  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_27129_n028.cluster.edu".
% 0.43/0.99  ============================== end of head ===========================
% 0.43/0.99  
% 0.43/0.99  ============================== INPUT =================================
% 0.43/0.99  
% 0.43/0.99  % Reading from file /tmp/Prover9_27129_n028.cluster.edu
% 0.43/0.99  
% 0.43/0.99  set(prolog_style_variables).
% 0.43/0.99  set(auto2).
% 0.43/0.99      % set(auto2) -> set(auto).
% 0.43/0.99      % set(auto) -> set(auto_inference).
% 0.43/0.99      % set(auto) -> set(auto_setup).
% 0.43/0.99      % set(auto_setup) -> set(predicate_elim).
% 0.43/0.99      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.43/0.99      % set(auto) -> set(auto_limits).
% 0.43/0.99      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.43/0.99      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.43/0.99      % set(auto) -> set(auto_denials).
% 0.43/0.99      % set(auto) -> set(auto_process).
% 0.43/0.99      % set(auto2) -> assign(new_constants, 1).
% 0.43/0.99      % set(auto2) -> assign(fold_denial_max, 3).
% 0.43/0.99      % set(auto2) -> assign(max_weight, "200.000").
% 0.43/0.99      % set(auto2) -> assign(max_hours, 1).
% 0.43/0.99      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.43/0.99      % set(auto2) -> assign(max_seconds, 0).
% 0.43/0.99      % set(auto2) -> assign(max_minutes, 5).
% 0.43/0.99      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.43/0.99      % set(auto2) -> set(sort_initial_sos).
% 0.43/0.99      % set(auto2) -> assign(sos_limit, -1).
% 0.43/0.99      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.43/0.99      % set(auto2) -> assign(max_megs, 400).
% 0.43/0.99      % set(auto2) -> assign(stats, some).
% 0.43/0.99      % set(auto2) -> clear(echo_input).
% 0.43/0.99      % set(auto2) -> set(quiet).
% 0.43/0.99      % set(auto2) -> clear(print_initial_clauses).
% 0.43/0.99      % set(auto2) -> clear(print_given).
% 0.43/0.99  assign(lrs_ticks,-1).
% 0.43/0.99  assign(sos_limit,10000).
% 0.43/0.99  assign(order,kbo).
% 0.43/0.99  set(lex_order_vars).
% 0.43/0.99  clear(print_given).
% 0.43/0.99  
% 0.43/0.99  % formulas(sos).  % not echoed (15 formulas)
% 0.43/0.99  
% 0.43/0.99  ============================== end of input ==========================
% 0.43/0.99  
% 0.43/0.99  % From the command line: assign(max_seconds, 300).
% 0.43/0.99  
% 0.43/0.99  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.43/0.99  
% 0.43/0.99  % Formulas that are not ordinary clauses:
% 0.43/0.99  
% 0.43/0.99  ============================== end of process non-clausal formulas ===
% 0.43/0.99  
% 0.43/0.99  ============================== PROCESS INITIAL CLAUSES ===============
% 0.43/0.99  
% 0.43/0.99  ============================== PREDICATE ELIMINATION =================
% 0.43/0.99  
% 0.43/0.99  ============================== end predicate elimination =============
% 0.43/0.99  
% 0.43/0.99  Auto_denials:
% 0.43/0.99    % copying label zero_is_first_number to answer in negative clause
% 0.43/0.99    % copying label prove_zero_is_less_than_all_successors to answer in negative clause
% 0.43/0.99    % assign(max_proofs, 2).  % (Horn set with more than one neg. clause)
% 0.43/0.99  
% 0.43/0.99  WARNING, because some of the denials share constants,
% 0.43/0.99  some of the denials or their descendents may be subsumed,
% 0.43/0.99  preventing the target number of proofs from being found.
% 0.43/0.99  The shared constants are:  n0.
% 0.43/0.99  
% 0.43/0.99  Term ordering decisions:
% 0.43/0.99  
% 0.43/0.99  % Assigning unary symbol successor kb_weight 0 and highest precedence (8).
% 0.43/0.99  Function symbol KB weights:  n0=1. a=1. add=1. multiply=1. predecessor_of_1st_minus_2nd=1. successor=0.
% 0.43/0.99  
% 0.43/0.99  ============================== end of process initial clauses ========
% 0.43/0.99  
% 0.43/0.99  ============================== CLAUSES FOR SEARCH ====================
% 0.43/0.99  
% 0.43/0.99  ============================== end of clauses for search =============
% 0.43/0.99  
% 0.43/0.99  ============================== SEARCH ================================
% 0.43/0.99  
% 0.43/0.99  % Starting search at 0.01 seconds.
% 0.43/0.99  
% 0.43/0.99  ============================== PROOF =================================
% 0.43/0.99  % SZS status Unsatisfiable
% 0.43/0.99  % SZS output start Refutation
% 0.43/0.99  
% 0.43/0.99  % Proof 1 at 0.01 (+ 0.00) seconds: prove_zero_is_less_than_all_successors.
% 0.43/0.99  % Length of proof is 5.
% 0.43/0.99  % Level of proof is 2.
% 0.43/0.99  % Maximum clause weight is 9.000.
% 0.43/0.99  % Given clauses 13.
% 0.43/0.99  
% 0.43/0.99  3 equalish(add(A,n0),A) # label(adding_zero) # label(axiom).  [assumption].
% 0.43/0.99  8 -less(n0,successor(a)) # label(prove_zero_is_less_than_all_successors) # label(negated_conjecture) # answer(prove_zero_is_less_than_all_successors).  [assumption].
% 0.43/0.99  13 -equalish(add(successor(A),B),C) | less(B,C) # label(smaller_number) # label(axiom).  [assumption].
% 0.43/0.99  30 -equalish(add(successor(A),n0),successor(a)) #Cputime limit exceeded (core dumped)
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