TSTP Solution File: FLD069-3 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : FLD069-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n021.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 02:24:31 EDT 2022

% Result   : Unsatisfiable 0.70s 1.01s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : FLD069-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jun  6 20:26:05 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.70/1.01  ============================== Prover9 ===============================
% 0.70/1.01  Prover9 (32) version 2009-11A, November 2009.
% 0.70/1.01  Process 13358 was started by sandbox2 on n021.cluster.edu,
% 0.70/1.01  Mon Jun  6 20:26:06 2022
% 0.70/1.01  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_13205_n021.cluster.edu".
% 0.70/1.01  ============================== end of head ===========================
% 0.70/1.01  
% 0.70/1.01  ============================== INPUT =================================
% 0.70/1.01  
% 0.70/1.01  % Reading from file /tmp/Prover9_13205_n021.cluster.edu
% 0.70/1.01  
% 0.70/1.01  set(prolog_style_variables).
% 0.70/1.01  set(auto2).
% 0.70/1.01      % set(auto2) -> set(auto).
% 0.70/1.01      % set(auto) -> set(auto_inference).
% 0.70/1.01      % set(auto) -> set(auto_setup).
% 0.70/1.01      % set(auto_setup) -> set(predicate_elim).
% 0.70/1.01      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.70/1.01      % set(auto) -> set(auto_limits).
% 0.70/1.01      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.70/1.01      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.70/1.01      % set(auto) -> set(auto_denials).
% 0.70/1.01      % set(auto) -> set(auto_process).
% 0.70/1.01      % set(auto2) -> assign(new_constants, 1).
% 0.70/1.01      % set(auto2) -> assign(fold_denial_max, 3).
% 0.70/1.01      % set(auto2) -> assign(max_weight, "200.000").
% 0.70/1.01      % set(auto2) -> assign(max_hours, 1).
% 0.70/1.01      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.70/1.01      % set(auto2) -> assign(max_seconds, 0).
% 0.70/1.01      % set(auto2) -> assign(max_minutes, 5).
% 0.70/1.01      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.70/1.01      % set(auto2) -> set(sort_initial_sos).
% 0.70/1.01      % set(auto2) -> assign(sos_limit, -1).
% 0.70/1.01      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.70/1.01      % set(auto2) -> assign(max_megs, 400).
% 0.70/1.01      % set(auto2) -> assign(stats, some).
% 0.70/1.01      % set(auto2) -> clear(echo_input).
% 0.70/1.01      % set(auto2) -> set(quiet).
% 0.70/1.01      % set(auto2) -> clear(print_initial_clauses).
% 0.70/1.01      % set(auto2) -> clear(print_given).
% 0.70/1.01  assign(lrs_ticks,-1).
% 0.70/1.01  assign(sos_limit,10000).
% 0.70/1.01  assign(order,kbo).
% 0.70/1.01  set(lex_order_vars).
% 0.70/1.01  clear(print_given).
% 0.70/1.01  
% 0.70/1.01  % formulas(sos).  % not echoed (32 formulas)
% 0.70/1.01  
% 0.70/1.01  ============================== end of input ==========================
% 0.70/1.01  
% 0.70/1.01  % From the command line: assign(max_seconds, 300).
% 0.70/1.01  
% 0.70/1.01  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.70/1.01  
% 0.70/1.01  % Formulas that are not ordinary clauses:
% 0.70/1.01  
% 0.70/1.01  ============================== end of process non-clausal formulas ===
% 0.70/1.01  
% 0.70/1.01  ============================== PROCESS INITIAL CLAUSES ===============
% 0.70/1.01  
% 0.70/1.01  ============================== PREDICATE ELIMINATION =================
% 0.70/1.01  
% 0.70/1.01  ============================== end predicate elimination =============
% 0.70/1.01  
% 0.70/1.01  Auto_denials:  (non-Horn, no changes).
% 0.70/1.01  
% 0.70/1.01  Term ordering decisions:
% 0.70/1.01  Function symbol KB weights:  additive_identity=1. a=1. b=1. multiplicative_identity=1. add=1. multiply=1. additive_inverse=1. multiplicative_inverse=1.
% 0.70/1.01  
% 0.70/1.01  ============================== end of process initial clauses ========
% 0.70/1.01  
% 0.70/1.01  ============================== CLAUSES FOR SEARCH ====================
% 0.70/1.01  
% 0.70/1.01  ============================== end of clauses for search =============
% 0.70/1.01  
% 0.70/1.01  ============================== SEARCH ================================
% 0.70/1.01  
% 0.70/1.01  % Starting search at 0.01 seconds.
% 0.70/1.01  
% 0.70/1.01  ============================== PROOF =================================
% 0.70/1.01  % SZS status Unsatisfiable
% 0.70/1.01  % SZS output start Refutation
% 0.70/1.01  
% 0.70/1.01  % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.70/1.01  % Length of proof is 11.
% 0.70/1.01  % Level of proof is 2.
% 0.70/1.01  % Maximum clause weight is 14.000.
% 0.70/1.01  % Given clauses 57.
% 0.70/1.01  
% 0.70/1.01  4 defined(b) # label(b_is_defined) # label(hypothesis).  [assumption].
% 0.70/1.01  5 less_or_equal(additive_identity,a) # label(less_or_equal_3) # label(negated_conjecture).  [assumption].
% 0.70/1.01  6 less_or_equal(additive_identity,b) # label(less_or_equal_4) # label(negated_conjecture).  [assumption].
% 0.70/1.01  7 sum(a,b,additive_identity) # label(sum_6) # label(negated_conjecture).  [assumption].
% 0.70/1.01  9 -sum(additive_identity,b,additive_identity) # label(not_sum_5) # label(negated_conjecture).  [assumption].
% 0.70/1.01  11 sum(additive_identity,A,A) | -defined(A) # label(existence_of_identity_addition) # label(axiom).  [assumption].
% 0.70/1.01  22 sum(additive_identity,A,B) | -less_or_equal(A,B) | -less_or_equal(B,A) # label(antisymmetry_of_order_relation) # label(axiom).  [assumption].
% 0.70/1.01  26 less_or_equal(A,B) | -less_or_equal(C,D) | -sum(C,E,A) | -sum(D,E,B) # label(compatibility_of_order_relation_and_addition) # label(axiom).  [assumption].
% 0.70/1.01  60 sum(additive_identity,b,b).  [resolve(11,b,4,a)].
% 0.70/1.01  115 -less_or_equal(b,additive_identity).  [resolve(22,c,6,a),unit_del(a,9)].
% 0.70/1.01  175 $F.  [ur(26,a,115,a,b,5,a,d,7,a),unit_del(a,60)].
% 0.70/1.01  
% 0.70/1.01  % SZS output end Refutation
% 0.70/1.01  ============================== end of proof ==========================
% 0.70/1.01  
% 0.70/1.01  ============================== STATISTICS ============================
% 0.70/1.01  
% 0.70/1.01  Given=57. Generated=210. Kept=174. proofs=1.
% 0.70/1.01  Usable=57. Sos=116. Demods=0. Limbo=0, Disabled=33. Hints=0.
% 0.70/1.01  Megabytes=0.14.
% 0.70/1.01  User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.70/1.01  
% 0.70/1.01  ============================== end of statistics =====================
% 0.70/1.01  
% 0.70/1.01  ============================== end of search =========================
% 0.70/1.01  
% 0.70/1.01  THEOREM PROVED
% 0.70/1.01  % SZS status Unsatisfiable
% 0.70/1.01  
% 0.70/1.01  Exiting with 1 proof.
% 0.70/1.01  
% 0.70/1.01  Process 13358 exit (max_proofs) Mon Jun  6 20:26:06 2022
% 0.70/1.01  Prover9 interrupted
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