TSTP Solution File: FLD067-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : FLD067-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n018.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 02:24:30 EDT 2022

% Result   : Unsatisfiable 0.84s 1.12s
% Output   : Refutation 0.84s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : FLD067-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n018.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 : Tue Jun  7 02:21:20 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.84/1.12  ============================== Prover9 ===============================
% 0.84/1.12  Prover9 (32) version 2009-11A, November 2009.
% 0.84/1.12  Process 2940 was started by sandbox2 on n018.cluster.edu,
% 0.84/1.12  Tue Jun  7 02:21:21 2022
% 0.84/1.12  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_2787_n018.cluster.edu".
% 0.84/1.12  ============================== end of head ===========================
% 0.84/1.12  
% 0.84/1.12  ============================== INPUT =================================
% 0.84/1.12  
% 0.84/1.12  % Reading from file /tmp/Prover9_2787_n018.cluster.edu
% 0.84/1.12  
% 0.84/1.12  set(prolog_style_variables).
% 0.84/1.12  set(auto2).
% 0.84/1.12      % set(auto2) -> set(auto).
% 0.84/1.12      % set(auto) -> set(auto_inference).
% 0.84/1.12      % set(auto) -> set(auto_setup).
% 0.84/1.12      % set(auto_setup) -> set(predicate_elim).
% 0.84/1.12      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.84/1.12      % set(auto) -> set(auto_limits).
% 0.84/1.12      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.84/1.12      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.84/1.12      % set(auto) -> set(auto_denials).
% 0.84/1.12      % set(auto) -> set(auto_process).
% 0.84/1.12      % set(auto2) -> assign(new_constants, 1).
% 0.84/1.12      % set(auto2) -> assign(fold_denial_max, 3).
% 0.84/1.12      % set(auto2) -> assign(max_weight, "200.000").
% 0.84/1.12      % set(auto2) -> assign(max_hours, 1).
% 0.84/1.12      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.84/1.12      % set(auto2) -> assign(max_seconds, 0).
% 0.84/1.12      % set(auto2) -> assign(max_minutes, 5).
% 0.84/1.12      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.84/1.12      % set(auto2) -> set(sort_initial_sos).
% 0.84/1.12      % set(auto2) -> assign(sos_limit, -1).
% 0.84/1.12      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.84/1.12      % set(auto2) -> assign(max_megs, 400).
% 0.84/1.12      % set(auto2) -> assign(stats, some).
% 0.84/1.12      % set(auto2) -> clear(echo_input).
% 0.84/1.12      % set(auto2) -> set(quiet).
% 0.84/1.12      % set(auto2) -> clear(print_initial_clauses).
% 0.84/1.12      % set(auto2) -> clear(print_given).
% 0.84/1.12  assign(lrs_ticks,-1).
% 0.84/1.12  assign(sos_limit,10000).
% 0.84/1.12  assign(order,kbo).
% 0.84/1.12  set(lex_order_vars).
% 0.84/1.12  clear(print_given).
% 0.84/1.12  
% 0.84/1.12  % formulas(sos).  % not echoed (31 formulas)
% 0.84/1.12  
% 0.84/1.12  ============================== end of input ==========================
% 0.84/1.12  
% 0.84/1.12  % From the command line: assign(max_seconds, 300).
% 0.84/1.12  
% 0.84/1.12  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.84/1.12  
% 0.84/1.12  % Formulas that are not ordinary clauses:
% 0.84/1.12  
% 0.84/1.12  ============================== end of process non-clausal formulas ===
% 0.84/1.12  
% 0.84/1.12  ============================== PROCESS INITIAL CLAUSES ===============
% 0.84/1.12  
% 0.84/1.12  ============================== PREDICATE ELIMINATION =================
% 0.84/1.12  
% 0.84/1.12  ============================== end predicate elimination =============
% 0.84/1.12  
% 0.84/1.12  Auto_denials:  (non-Horn, no changes).
% 0.84/1.12  
% 0.84/1.12  Term ordering decisions:
% 0.84/1.12  Function symbol KB weights:  additive_identity=1. multiplicative_identity=1. a=1. b=1. add=1. multiply=1. additive_inverse=1. multiplicative_inverse=1.
% 0.84/1.12  
% 0.84/1.12  ============================== end of process initial clauses ========
% 0.84/1.12  
% 0.84/1.12  ============================== CLAUSES FOR SEARCH ====================
% 0.84/1.12  
% 0.84/1.12  ============================== end of clauses for search =============
% 0.84/1.12  
% 0.84/1.12  ============================== SEARCH ================================
% 0.84/1.12  
% 0.84/1.12  % Starting search at 0.01 seconds.
% 0.84/1.12  
% 0.84/1.12  ============================== PROOF =================================
% 0.84/1.12  % SZS status Unsatisfiable
% 0.84/1.12  % SZS output start Refutation
% 0.84/1.12  
% 0.84/1.12  % Proof 1 at 0.15 (+ 0.01) seconds.
% 0.84/1.12  % Length of proof is 11.
% 0.84/1.12  % Level of proof is 3.
% 0.84/1.12  % Maximum clause weight is 12.000.
% 0.84/1.12  % Given clauses 177.
% 0.84/1.12  
% 0.84/1.12  3 defined(a) # label(a_is_defined) # label(hypothesis).  [assumption].
% 0.84/1.12  5 less_or_equal(a,b) # label(less_or_equal_3) # label(negated_conjecture).  [assumption].
% 0.84/1.12  7 -less_or_equal(additive_identity,add(b,additive_inverse(a))) # label(not_less_or_equal_4) # label(negated_conjecture).  [assumption].
% 0.84/1.12  8 defined(additive_inverse(A)) | -defined(A) # label(well_definedness_of_additive_inverse) # label(axiom).  [assumption].
% 0.84/1.12  13 equalish(add(A,additive_inverse(A)),additive_identity) | -defined(A) # label(existence_of_inverse_addition) # label(axiom).  [assumption].
% 0.84/1.12  20 less_or_equal(A,B) | -less_or_equal(C,B) | -equalish(C,A) # label(compatibility_of_equality_and_order_relation) # label(axiom).  [assumption].
% 0.84/1.12  26 less_or_equal(add(A,B),add(C,B)) | -defined(B) | -less_or_equal(A,C) # label(compatibility_of_order_relation_and_addition) # label(axiom).  [assumption].
% 0.84/1.12  52 defined(additive_inverse(a)).  [resolve(8,b,3,a)].
% 0.84/1.12  69 equalish(add(a,additive_inverse(a)),additive_identity).  [resolve(13,b,3,a)].
% 0.84/1.12  1271 -less_or_equal(add(a,additive_inverse(a)),add(b,additive_inverse(a))).  [ur(20,a,7,a,c,69,a)].
% 0.84/1.12  2715 $F.  [ur(26,a,1271,a,c,5,a),unit_del(a,52)].
% 0.84/1.12  
% 0.84/1.12  % SZS output end Refutation
% 0.84/1.12  ============================== end of proof ==========================
% 0.84/1.12  
% 0.84/1.12  ============================== STATISTICS ============================
% 0.84/1.12  
% 0.84/1.12  Given=177. Generated=3416. Kept=2714. proofs=1.
% 0.84/1.12  Usable=177. Sos=2535. Demods=0. Limbo=0, Disabled=33. Hints=0.
% 0.84/1.12  Megabytes=2.25.
% 0.84/1.12  User_CPU=0.15, System_CPU=0.01, Wall_clock=0.
% 0.84/1.12  
% 0.84/1.12  ============================== end of statistics =====================
% 0.84/1.12  
% 0.84/1.12  ============================== end of search =========================
% 0.84/1.12  
% 0.84/1.12  THEOREM PROVED
% 0.84/1.12  % SZS status Unsatisfiable
% 0.84/1.12  
% 0.84/1.12  Exiting with 1 proof.
% 0.84/1.12  
% 0.84/1.12  Process 2940 exit (max_proofs) Tue Jun  7 02:21:21 2022
% 0.84/1.13  Prover9 interrupted
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