TSTP Solution File: RNG040-2 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : RNG040-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n019.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 20:39:16 EDT 2022

% Result   : Unsatisfiable 0.71s 1.03s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : RNG040-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n019.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 : Mon May 30 07:04:10 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.71/1.03  ============================== Prover9 ===============================
% 0.71/1.03  Prover9 (32) version 2009-11A, November 2009.
% 0.71/1.03  Process 3335 was started by sandbox on n019.cluster.edu,
% 0.71/1.03  Mon May 30 07:04:11 2022
% 0.71/1.03  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_3182_n019.cluster.edu".
% 0.71/1.03  ============================== end of head ===========================
% 0.71/1.03  
% 0.71/1.03  ============================== INPUT =================================
% 0.71/1.03  
% 0.71/1.03  % Reading from file /tmp/Prover9_3182_n019.cluster.edu
% 0.71/1.03  
% 0.71/1.03  set(prolog_style_variables).
% 0.71/1.03  set(auto2).
% 0.71/1.03      % set(auto2) -> set(auto).
% 0.71/1.03      % set(auto) -> set(auto_inference).
% 0.71/1.03      % set(auto) -> set(auto_setup).
% 0.71/1.03      % set(auto_setup) -> set(predicate_elim).
% 0.71/1.03      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.71/1.03      % set(auto) -> set(auto_limits).
% 0.71/1.03      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.71/1.03      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.71/1.03      % set(auto) -> set(auto_denials).
% 0.71/1.03      % set(auto) -> set(auto_process).
% 0.71/1.03      % set(auto2) -> assign(new_constants, 1).
% 0.71/1.03      % set(auto2) -> assign(fold_denial_max, 3).
% 0.71/1.03      % set(auto2) -> assign(max_weight, "200.000").
% 0.71/1.03      % set(auto2) -> assign(max_hours, 1).
% 0.71/1.03      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.71/1.03      % set(auto2) -> assign(max_seconds, 0).
% 0.71/1.03      % set(auto2) -> assign(max_minutes, 5).
% 0.71/1.03      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.71/1.03      % set(auto2) -> set(sort_initial_sos).
% 0.71/1.03      % set(auto2) -> assign(sos_limit, -1).
% 0.71/1.03      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.71/1.03      % set(auto2) -> assign(max_megs, 400).
% 0.71/1.03      % set(auto2) -> assign(stats, some).
% 0.71/1.03      % set(auto2) -> clear(echo_input).
% 0.71/1.03      % set(auto2) -> set(quiet).
% 0.71/1.03      % set(auto2) -> clear(print_initial_clauses).
% 0.71/1.03      % set(auto2) -> clear(print_given).
% 0.71/1.03  assign(lrs_ticks,-1).
% 0.71/1.03  assign(sos_limit,10000).
% 0.71/1.03  assign(order,kbo).
% 0.71/1.03  set(lex_order_vars).
% 0.71/1.03  clear(print_given).
% 0.71/1.03  
% 0.71/1.03  % formulas(sos).  % not echoed (25 formulas)
% 0.71/1.03  
% 0.71/1.03  ============================== end of input ==========================
% 0.71/1.03  
% 0.71/1.03  % From the command line: assign(max_seconds, 300).
% 0.71/1.03  
% 0.71/1.03  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.71/1.03  
% 0.71/1.03  % Formulas that are not ordinary clauses:
% 0.71/1.03  
% 0.71/1.03  ============================== end of process non-clausal formulas ===
% 0.71/1.03  
% 0.71/1.03  ============================== PROCESS INITIAL CLAUSES ===============
% 0.71/1.03  
% 0.71/1.03  ============================== PREDICATE ELIMINATION =================
% 0.71/1.03  
% 0.71/1.03  ============================== end predicate elimination =============
% 0.71/1.03  
% 0.71/1.03  Auto_denials:  (non-Horn, no changes).
% 0.71/1.03  
% 0.71/1.03  Term ordering decisions:
% 0.71/1.03  Function symbol KB weights:  additive_identity=1. multiplicative_identity=1. a=1. b=1. c=1. d=1. l=1. n=1. add=1. multiply=1. additive_inverse=1. h=1.
% 0.71/1.03  
% 0.71/1.03  ============================== end of process initial clauses ========
% 0.71/1.03  
% 0.71/1.03  ============================== CLAUSES FOR SEARCH ====================
% 0.71/1.03  
% 0.71/1.03  ============================== end of clauses for search =============
% 0.71/1.03  
% 0.71/1.03  ============================== SEARCH ================================
% 0.71/1.03  
% 0.71/1.03  % Starting search at 0.01 seconds.
% 0.71/1.03  
% 0.71/1.03  ============================== PROOF =================================
% 0.71/1.03  % SZS status Unsatisfiable
% 0.71/1.03  % SZS output start Refutation
% 0.71/1.03  
% 0.71/1.03  % Proof 1 at 0.05 (+ 0.00) seconds.
% 0.71/1.03  % Length of proof is 14.
% 0.71/1.03  % Level of proof is 2.
% 0.71/1.03  % Maximum clause weight is 20.000.
% 0.71/1.03  % Given clauses 48.
% 0.71/1.03  
% 0.71/1.03  5 sum(b,c,d) # label(b_plus_c) # label(negated_conjecture).  [assumption].
% 0.71/1.03  6 product(d,a,additive_identity) # label(d_plus_a) # label(negated_conjecture).  [assumption].
% 0.71/1.03  7 product(b,a,l) # label(b_plus_a) # label(negated_conjecture).  [assumption].
% 0.71/1.03  8 product(c,a,n) # label(c_plus_a) # label(negated_conjecture).  [assumption].
% 0.71/1.03  17 -sum(l,n,additive_identity) # label(prove_equation) # label(negated_conjecture).  [assumption].
% 0.71/1.03  18 -sum(A,B,C) | sum(B,A,C) # label(commutativity_of_addition) # label(axiom).  [assumption].
% 0.71/1.03  19 -product(A,B,C) | product(B,A,C) # label(product_symmetry) # label(hypothesis).  [assumption].
% 0.71/1.03  26 -product(A,B,C) | -product(A,D,E) | -sum(B,D,F) | -product(A,F,V6) | sum(C,E,V6) # label(distributivity1) # label(axiom).  [assumption].
% 0.71/1.03  44 sum(c,b,d).  [resolve(18,a,5,a)].
% 0.71/1.03  45 -sum(n,l,additive_identity).  [ur(18,b,17,a)].
% 0.71/1.03  47 product(a,c,n).  [resolve(19,a,8,a)].
% 0.71/1.03  48 product(a,b,l).  [resolve(19,a,7,a)].
% 0.71/1.03  49 product(a,d,additive_identity).  [resolve(19,a,6,a)].
% 0.71/1.03  348 $F.  [ur(26,a,47,a,b,48,a,c,44,a,e,45,a),unit_del(a,49)].
% 0.71/1.03  
% 0.71/1.03  % SZS output end Refutation
% 0.71/1.03  ============================== end of proof ==========================
% 0.71/1.03  
% 0.71/1.03  ============================== STATISTICS ============================
% 0.71/1.03  
% 0.71/1.03  Given=48. Generated=598. Kept=345. proofs=1.
% 0.71/1.03  Usable=48. Sos=284. Demods=0. Limbo=9, Disabled=29. Hints=0.
% 0.71/1.03  Megabytes=0.24.
% 0.71/1.03  User_CPU=0.05, System_CPU=0.00, Wall_clock=0.
% 0.71/1.03  
% 0.71/1.03  ============================== end of statistics =====================
% 0.71/1.03  
% 0.71/1.03  ============================== end of search =========================
% 0.71/1.03  
% 0.71/1.03  THEOREM PROVED
% 0.71/1.03  % SZS status Unsatisfiable
% 0.71/1.03  
% 0.71/1.03  Exiting with 1 proof.
% 0.71/1.03  
% 0.71/1.03  Process 3335 exit (max_proofs) Mon May 30 07:04:11 2022
% 0.71/1.03  Prover9 interrupted
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