TSTP Solution File: SYN345-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYN345-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n023.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 : Thu Jul 21 11:18:23 EDT 2022

% Result   : Unsatisfiable 0.41s 0.97s
% Output   : Refutation 0.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SYN345-1 : TPTP v8.1.0. Released v1.2.0.
% 0.10/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n023.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 Jul 11 19:54:54 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.41/0.97  ============================== Prover9 ===============================
% 0.41/0.97  Prover9 (32) version 2009-11A, November 2009.
% 0.41/0.97  Process 32656 was started by sandbox on n023.cluster.edu,
% 0.41/0.97  Mon Jul 11 19:54:55 2022
% 0.41/0.97  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_32503_n023.cluster.edu".
% 0.41/0.97  ============================== end of head ===========================
% 0.41/0.97  
% 0.41/0.97  ============================== INPUT =================================
% 0.41/0.97  
% 0.41/0.97  % Reading from file /tmp/Prover9_32503_n023.cluster.edu
% 0.41/0.97  
% 0.41/0.97  set(prolog_style_variables).
% 0.41/0.97  set(auto2).
% 0.41/0.97      % set(auto2) -> set(auto).
% 0.41/0.97      % set(auto) -> set(auto_inference).
% 0.41/0.97      % set(auto) -> set(auto_setup).
% 0.41/0.97      % set(auto_setup) -> set(predicate_elim).
% 0.41/0.97      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.41/0.97      % set(auto) -> set(auto_limits).
% 0.41/0.97      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.41/0.97      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.41/0.97      % set(auto) -> set(auto_denials).
% 0.41/0.97      % set(auto) -> set(auto_process).
% 0.41/0.97      % set(auto2) -> assign(new_constants, 1).
% 0.41/0.97      % set(auto2) -> assign(fold_denial_max, 3).
% 0.41/0.97      % set(auto2) -> assign(max_weight, "200.000").
% 0.41/0.97      % set(auto2) -> assign(max_hours, 1).
% 0.41/0.97      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.41/0.97      % set(auto2) -> assign(max_seconds, 0).
% 0.41/0.97      % set(auto2) -> assign(max_minutes, 5).
% 0.41/0.97      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.41/0.97      % set(auto2) -> set(sort_initial_sos).
% 0.41/0.97      % set(auto2) -> assign(sos_limit, -1).
% 0.41/0.97      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.41/0.97      % set(auto2) -> assign(max_megs, 400).
% 0.41/0.97      % set(auto2) -> assign(stats, some).
% 0.41/0.97      % set(auto2) -> clear(echo_input).
% 0.41/0.97      % set(auto2) -> set(quiet).
% 0.41/0.97      % set(auto2) -> clear(print_initial_clauses).
% 0.41/0.97      % set(auto2) -> clear(print_given).
% 0.41/0.97  assign(lrs_ticks,-1).
% 0.41/0.97  assign(sos_limit,10000).
% 0.41/0.97  assign(order,kbo).
% 0.41/0.97  set(lex_order_vars).
% 0.41/0.97  clear(print_given).
% 0.41/0.97  
% 0.41/0.97  % formulas(sos).  % not echoed (8 formulas)
% 0.41/0.97  
% 0.41/0.97  ============================== end of input ==========================
% 0.41/0.97  
% 0.41/0.97  % From the command line: assign(max_seconds, 300).
% 0.41/0.97  
% 0.41/0.97  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.41/0.97  
% 0.41/0.97  % Formulas that are not ordinary clauses:
% 0.41/0.97  
% 0.41/0.97  ============================== end of process non-clausal formulas ===
% 0.41/0.97  
% 0.41/0.97  ============================== PROCESS INITIAL CLAUSES ===============
% 0.41/0.97  
% 0.41/0.97  ============================== PREDICATE ELIMINATION =================
% 0.41/0.97  
% 0.41/0.97  ============================== end predicate elimination =============
% 0.41/0.97  
% 0.41/0.97  Auto_denials:  (non-Horn, no changes).
% 0.41/0.97  
% 0.41/0.97  Term ordering decisions:
% 0.41/0.97  Function symbol KB weights:  b=1. a=1. z=1.
% 0.41/0.97  
% 0.41/0.97  ============================== end of process initial clauses ========
% 0.41/0.97  
% 0.41/0.97  ============================== CLAUSES FOR SEARCH ====================
% 0.41/0.97  
% 0.41/0.97  ============================== end of clauses for search =============
% 0.41/0.97  
% 0.41/0.97  ============================== SEARCH ================================
% 0.41/0.97  
% 0.41/0.97  % Starting search at 0.01 seconds.
% 0.41/0.97  
% 0.41/0.97  ============================== PROOF =================================
% 0.41/0.97  % SZS status Unsatisfiable
% 0.41/0.97  % SZS output start Refutation
% 0.41/0.97  
% 0.41/0.97  % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.41/0.97  % Length of proof is 19.
% 0.41/0.97  % Level of proof is 6.
% 0.41/0.97  % Maximum clause weight is 16.000.
% 0.41/0.97  % Given clauses 14.
% 0.41/0.97  
% 0.41/0.97  1 f(A,B,z(A,B)) | f(a,a,b) | f(a,b,b) # label(clause5) # label(negated_conjecture).  [assumption].
% 0.41/0.97  2 -f(b,b,A) | -f(a,a,b) | -f(a,b,b) # label(clause8) # label(negated_conjecture).  [assumption].
% 0.41/0.97  3 f(a,b,A) | -f(a,a,b) | f(a,b,b) # label(clause1) # label(negated_conjecture).  [assumption].
% 0.41/0.97  4 f(b,A,B) | f(a,a,b) | -f(a,b,b) # label(clause3) # label(negated_conjecture).  [assumption].
% 0.41/0.97  5 -f(b,b,A) | f(a,a,b) | f(a,b,b) # label(clause7) # label(negated_conjecture).  [assumption].
% 0.41/0.97  7 f(A,B,z(A,B)) | -f(a,a,b) | -f(a,b,b) # label(clause6) # label(negated_conjecture).  [assumption].
% 0.41/0.97  8 -f(A,z(A,B),z(A,B)) | f(a,a,b) | -f(a,b,b) # label(clause4) # label(negated_conjecture).  [assumption].
% 0.41/0.97  9 f(a,b,b) | -f(a,a,b).  [factor(3,a,c)].
% 0.41/0.97  10 f(a,a,b) | f(a,b,b).  [resolve(5,a,1,a),merge(c),merge(d)].
% 0.41/0.97  11 f(a,b,b).  [resolve(10,a,9,b),merge(b)].
% 0.41/0.97  12 -f(A,z(A,B),z(A,B)) | f(a,a,b).  [back_unit_del(8),unit_del(c,11)].
% 0.41/0.97  13 f(A,B,z(A,B)) | -f(a,a,b).  [back_unit_del(7),unit_del(c,11)].
% 0.41/0.97  14 f(b,A,B) | f(a,a,b).  [back_unit_del(4),unit_del(c,11)].
% 0.41/0.97  15 -f(b,b,A) | -f(a,a,b).  [back_unit_del(2),unit_del(c,11)].
% 0.41/0.97  17 f(A,B,z(A,B)) | f(b,C,D).  [resolve(13,b,14,b)].
% 0.41/0.97  18 f(b,A,z(b,A)).  [factor(17,a,b)].
% 0.41/0.97  19 f(a,a,b).  [resolve(12,a,14,a),merge(b)].
% 0.41/0.97  20 -f(b,b,A).  [back_unit_del(15),unit_del(b,19)].
% 0.41/0.97  21 $F.  [resolve(20,a,18,a)].
% 0.41/0.97  
% 0.41/0.97  % SZS output end Refutation
% 0.41/0.97  ============================== end of proof ==========================
% 0.41/0.97  
% 0.41/0.97  ============================== STATISTICS ============================
% 0.41/0.97  
% 0.41/0.97  Given=14. Generated=25. Kept=20. proofs=1.
% 0.41/0.97  Usable=3. Sos=2. Demods=0. Limbo=1, Disabled=21. Hints=0.
% 0.41/0.97  Megabytes=0.03.
% 0.41/0.97  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.41/0.97  
% 0.41/0.97  ============================== end of statistics =====================
% 0.41/0.97  
% 0.41/0.97  ============================== end of search =========================
% 0.41/0.97  
% 0.41/0.97  THEOREM PROVED
% 0.41/0.97  % SZS status Unsatisfiable
% 0.41/0.97  
% 0.41/0.97  Exiting with 1 proof.
% 0.41/0.97  
% 0.41/0.97  Process 32656 exit (max_proofs) Mon Jul 11 19:54:55 2022
% 0.41/0.97  Prover9 interrupted
%------------------------------------------------------------------------------