TSTP Solution File: NUM025-1 by Prover9---1109a

View Problem - Process Solution

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% File     : Prover9---1109a
% Problem  : NUM025-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n006.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 0.73s 1.03s
% Output   : Refutation 0.73s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : NUM025-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.11/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.32  % Computer : n006.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Tue Jul  5 13:57:37 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.73/1.03  ============================== Prover9 ===============================
% 0.73/1.03  Prover9 (32) version 2009-11A, November 2009.
% 0.73/1.03  Process 15550 was started by sandbox on n006.cluster.edu,
% 0.73/1.03  Tue Jul  5 13:57:37 2022
% 0.73/1.03  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_15396_n006.cluster.edu".
% 0.73/1.03  ============================== end of head ===========================
% 0.73/1.03  
% 0.73/1.03  ============================== INPUT =================================
% 0.73/1.03  
% 0.73/1.03  % Reading from file /tmp/Prover9_15396_n006.cluster.edu
% 0.73/1.03  
% 0.73/1.03  set(prolog_style_variables).
% 0.73/1.03  set(auto2).
% 0.73/1.03      % set(auto2) -> set(auto).
% 0.73/1.03      % set(auto) -> set(auto_inference).
% 0.73/1.03      % set(auto) -> set(auto_setup).
% 0.73/1.03      % set(auto_setup) -> set(predicate_elim).
% 0.73/1.03      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.73/1.03      % set(auto) -> set(auto_limits).
% 0.73/1.03      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.73/1.03      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.73/1.03      % set(auto) -> set(auto_denials).
% 0.73/1.03      % set(auto) -> set(auto_process).
% 0.73/1.03      % set(auto2) -> assign(new_constants, 1).
% 0.73/1.03      % set(auto2) -> assign(fold_denial_max, 3).
% 0.73/1.03      % set(auto2) -> assign(max_weight, "200.000").
% 0.73/1.03      % set(auto2) -> assign(max_hours, 1).
% 0.73/1.03      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.73/1.03      % set(auto2) -> assign(max_seconds, 0).
% 0.73/1.03      % set(auto2) -> assign(max_minutes, 5).
% 0.73/1.03      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.73/1.03      % set(auto2) -> set(sort_initial_sos).
% 0.73/1.03      % set(auto2) -> assign(sos_limit, -1).
% 0.73/1.03      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.73/1.03      % set(auto2) -> assign(max_megs, 400).
% 0.73/1.03      % set(auto2) -> assign(stats, some).
% 0.73/1.03      % set(auto2) -> clear(echo_input).
% 0.73/1.03      % set(auto2) -> set(quiet).
% 0.73/1.03      % set(auto2) -> clear(print_initial_clauses).
% 0.73/1.03      % set(auto2) -> clear(print_given).
% 0.73/1.03  assign(lrs_ticks,-1).
% 0.73/1.03  assign(sos_limit,10000).
% 0.73/1.03  assign(order,kbo).
% 0.73/1.03  set(lex_order_vars).
% 0.73/1.03  clear(print_given).
% 0.73/1.03  
% 0.73/1.03  % formulas(sos).  % not echoed (16 formulas)
% 0.73/1.03  
% 0.73/1.03  ============================== end of input ==========================
% 0.73/1.03  
% 0.73/1.03  % From the command line: assign(max_seconds, 300).
% 0.73/1.03  
% 0.73/1.03  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.73/1.03  
% 0.73/1.03  % Formulas that are not ordinary clauses:
% 0.73/1.03  
% 0.73/1.03  ============================== end of process non-clausal formulas ===
% 0.73/1.03  
% 0.73/1.03  ============================== PROCESS INITIAL CLAUSES ===============
% 0.73/1.03  
% 0.73/1.03  ============================== PREDICATE ELIMINATION =================
% 0.73/1.03  
% 0.73/1.03  ============================== end predicate elimination =============
% 0.73/1.03  
% 0.73/1.03  Auto_denials:
% 0.73/1.03    % copying label no_number_less_than_itself to answer in negative clause
% 0.73/1.03    % copying label zero_is_the_first_number to answer in negative clause
% 0.73/1.03    % assign(max_proofs, 2).  % (Horn set with more than one neg. clause)
% 0.73/1.03  
% 0.73/1.03  Term ordering decisions:
% 0.73/1.03  
% 0.73/1.03  % Assigning unary symbol successor kb_weight 0 and highest precedence (9).
% 0.73/1.03  Function symbol KB weights:  n0=1. a=1. b=1. add=1. multiply=1. predecessor_of_1st_minus_2nd=1. successor=0.
% 0.73/1.03  
% 0.73/1.03  ============================== end of process initial clauses ========
% 0.73/1.03  
% 0.73/1.03  ============================== CLAUSES FOR SEARCH ====================
% 0.73/1.03  
% 0.73/1.03  ============================== end of clauses for search =============
% 0.73/1.03  
% 0.73/1.03  ============================== SEARCH ================================
% 0.73/1.03  
% 0.73/1.03  % Starting search at 0.01 seconds.
% 0.73/1.03  
% 0.73/1.03  ============================== PROOF =================================
% 0.73/1.03  % SZS status Unsatisfiable
% 0.73/1.03  % SZS output start Refutation
% 0.73/1.03  
% 0.73/1.03  % Proof 1 at 0.01 (+ 0.00) seconds: no_number_less_than_itself.
% 0.73/1.03  % Length of proof is 6.
% 0.73/1.03  % Level of proof is 2.
% 0.73/1.03  % Maximum clause weight is 9.000.
% 0.73/1.03  % Given clauses 13.
% 0.73/1.03  
% 0.73/1.03  2 less(a,b) # label(a_less_than_b) # label(hypothesis).  [assumption].
% 0.73/1.03  3 less(b,a) # label(prove_b_not_less_than_a) # label(negated_conjecture).  [assumption].
% 0.73/1.03  8 -less(A,A) # label(no_number_less_than_itself) # label(axiom) # answer(no_number_less_than_itself).  [assumption].
% 0.73/1.03  13 -less(A,B) | -less(C,A) | less(C,B) # label(transitivity_of_less) # label(axiom).  [assumption].
% 0.73/1.03  28 less(a,a).  [ur(13,a,3,a,b,2,a)].
% 0.73/1.03  29 $F # answer(no_number_less_than_itself).  [resolve(28,a,8,a)].
% 0.73/1.03  
% 0.73/1.03  % SZS output end Refutation
% 0.73/1.03  ============================== end of proof ==========================
% 0.73/1.03  % Redundant proof: 31 $F # ansCputime limit exceeded (core dumped)
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