TSTP Solution File: SYN082-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYN082-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n016.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 11:16:14 EDT 2022

% Result   : Unsatisfiable 0.43s 0.91s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN082-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jul 12 06:39:59 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.43/0.91  ============================== Prover9 ===============================
% 0.43/0.91  Prover9 (32) version 2009-11A, November 2009.
% 0.43/0.91  Process 11218 was started by sandbox on n016.cluster.edu,
% 0.43/0.91  Tue Jul 12 06:39:59 2022
% 0.43/0.91  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_11065_n016.cluster.edu".
% 0.43/0.91  ============================== end of head ===========================
% 0.43/0.91  
% 0.43/0.91  ============================== INPUT =================================
% 0.43/0.91  
% 0.43/0.91  % Reading from file /tmp/Prover9_11065_n016.cluster.edu
% 0.43/0.91  
% 0.43/0.91  set(prolog_style_variables).
% 0.43/0.91  set(auto2).
% 0.43/0.91      % set(auto2) -> set(auto).
% 0.43/0.91      % set(auto) -> set(auto_inference).
% 0.43/0.91      % set(auto) -> set(auto_setup).
% 0.43/0.91      % set(auto_setup) -> set(predicate_elim).
% 0.43/0.91      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.43/0.91      % set(auto) -> set(auto_limits).
% 0.43/0.91      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.43/0.91      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.43/0.91      % set(auto) -> set(auto_denials).
% 0.43/0.91      % set(auto) -> set(auto_process).
% 0.43/0.91      % set(auto2) -> assign(new_constants, 1).
% 0.43/0.91      % set(auto2) -> assign(fold_denial_max, 3).
% 0.43/0.91      % set(auto2) -> assign(max_weight, "200.000").
% 0.43/0.91      % set(auto2) -> assign(max_hours, 1).
% 0.43/0.91      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.43/0.91      % set(auto2) -> assign(max_seconds, 0).
% 0.43/0.91      % set(auto2) -> assign(max_minutes, 5).
% 0.43/0.91      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.43/0.91      % set(auto2) -> set(sort_initial_sos).
% 0.43/0.91      % set(auto2) -> assign(sos_limit, -1).
% 0.43/0.91      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.43/0.91      % set(auto2) -> assign(max_megs, 400).
% 0.43/0.91      % set(auto2) -> assign(stats, some).
% 0.43/0.91      % set(auto2) -> clear(echo_input).
% 0.43/0.91      % set(auto2) -> set(quiet).
% 0.43/0.91      % set(auto2) -> clear(print_initial_clauses).
% 0.43/0.91      % set(auto2) -> clear(print_given).
% 0.43/0.91  assign(lrs_ticks,-1).
% 0.43/0.91  assign(sos_limit,10000).
% 0.43/0.91  assign(order,kbo).
% 0.43/0.91  set(lex_order_vars).
% 0.43/0.91  clear(print_given).
% 0.43/0.91  
% 0.43/0.91  % formulas(sos).  % not echoed (8 formulas)
% 0.43/0.91  
% 0.43/0.91  ============================== end of input ==========================
% 0.43/0.91  
% 0.43/0.91  % From the command line: assign(max_seconds, 300).
% 0.43/0.91  
% 0.43/0.91  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.43/0.91  
% 0.43/0.91  % Formulas that are not ordinary clauses:
% 0.43/0.91  
% 0.43/0.91  ============================== end of process non-clausal formulas ===
% 0.43/0.91  
% 0.43/0.91  ============================== PROCESS INITIAL CLAUSES ===============
% 0.43/0.91  
% 0.43/0.91  ============================== PREDICATE ELIMINATION =================
% 0.43/0.91  
% 0.43/0.91  ============================== end predicate elimination =============
% 0.43/0.91  
% 0.43/0.91  Auto_denials:  (non-Horn, no changes).
% 0.43/0.91  
% 0.43/0.91  Term ordering decisions:
% 0.43/0.91  Function symbol KB weights:  a=1. b=1. f=1. g=1.
% 0.43/0.91  
% 0.43/0.91  ============================== end of process initial clauses ========
% 0.43/0.91  
% 0.43/0.91  ============================== CLAUSES FOR SEARCH ====================
% 0.43/0.91  
% 0.43/0.91  ============================== end of clauses for search =============
% 0.43/0.91  
% 0.43/0.91  ============================== SEARCH ================================
% 0.43/0.91  
% 0.43/0.91  % Starting search at 0.01 seconds.
% 0.43/0.91  
% 0.43/0.91  ============================== PROOF =================================
% 0.43/0.91  % SZS status Unsatisfiable
% 0.43/0.91  % SZS output start Refutation
% 0.43/0.91  
% 0.43/0.91  % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.43/0.91  % Length of proof is 14.
% 0.43/0.91  % Level of proof is 6.
% 0.43/0.91  % Maximum clause weight is 11.000.
% 0.43/0.91  % Given clauses 14.
% 0.43/0.91  
% 0.43/0.91  1 big_f(a,f(a)) | big_f(a,b) # label(clause_2) # label(negated_conjecture).  [assumption].
% 0.43/0.91  2 -big_f(g(A),A) | -big_f(a,A) | -big_f(a,f(a)) # label(clause_8) # label(negated_conjecture).  [assumption].
% 0.43/0.91  3 big_f(g(A),A) | -big_f(a,A) | big_f(a,b) # label(clause_4) # label(negated_conjecture).  [assumption].
% 0.43/0.91  5 big_f(a,f(a)) | -big_f(A,b) | big_f(A,f(a)) # label(clause_1) # label(negated_conjecture).  [assumption].
% 0.43/0.91  6 big_f(g(A),A) | -big_f(a,A) | -big_f(a,f(a)) # label(clause_5) # label(negated_conjecture).  [assumption].
% 0.43/0.91  9 -big_f(g(f(a)),f(a)) | -big_f(a,f(a)).  [factor(2,b,c)].
% 0.43/0.91  10 big_f(a,f(a)) | -big_f(a,b).  [factor(5,a,c)].
% 0.43/0.91  11 big_f(g(f(a)),f(a)) | -big_f(a,f(a)).  [factor(6,b,c)].
% 0.43/0.91  13 big_f(g(f(a)),f(a)) | big_f(a,b).  [resolve(3,b,1,a),merge(c)].
% 0.43/0.91  14 big_f(a,b) | -big_f(a,f(a)).  [resolve(13,a,9,a)].
% 0.43/0.91  15 big_f(a,b).  [resolve(14,b,1,a),merge(b)].
% 0.43/0.91  17 big_f(a,f(a)).  [back_unit_del(10),unit_del(b,15)].
% 0.43/0.91  18 big_f(g(f(a)),f(a)).  [back_unit_del(11),unit_del(b,17)].
% 0.43/0.91  19 $F.  [back_unit_del(9),unit_del(a,18),unit_del(b,17)].
% 0.43/0.91  
% 0.43/0.91  % SZS output end Refutation
% 0.43/0.91  ============================== end of proof ==========================
% 0.43/0.91  
% 0.43/0.91  ============================== STATISTICS ============================
% 0.43/0.91  
% 0.43/0.91  Given=14. Generated=30. Kept=18. proofs=1.
% 0.43/0.91  Usable=4. Sos=2. Demods=0. Limbo=2, Disabled=18. Hints=0.
% 0.43/0.91  Megabytes=0.03.
% 0.43/0.91  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.43/0.91  
% 0.43/0.91  ============================== end of statistics =====================
% 0.43/0.91  
% 0.43/0.91  ============================== end of search =========================
% 0.43/0.91  
% 0.43/0.91  THEOREM PROVED
% 0.43/0.91  % SZS status Unsatisfiable
% 0.43/0.91  
% 0.43/0.91  Exiting with 1 proof.
% 0.43/0.91  
% 0.43/0.91  Process 11218 exit (max_proofs) Tue Jul 12 06:39:59 2022
% 0.43/0.91  Prover9 interrupted
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