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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYN082+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n020.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   : Theorem 0.43s 1.04s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN082+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n020.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 19:57:13 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.43/1.04  ============================== Prover9 ===============================
% 0.43/1.04  Prover9 (32) version 2009-11A, November 2009.
% 0.43/1.04  Process 572 was started by sandbox2 on n020.cluster.edu,
% 0.43/1.04  Mon Jul 11 19:57:13 2022
% 0.43/1.04  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_32641_n020.cluster.edu".
% 0.43/1.04  ============================== end of head ===========================
% 0.43/1.04  
% 0.43/1.04  ============================== INPUT =================================
% 0.43/1.04  
% 0.43/1.04  % Reading from file /tmp/Prover9_32641_n020.cluster.edu
% 0.43/1.04  
% 0.43/1.04  set(prolog_style_variables).
% 0.43/1.04  set(auto2).
% 0.43/1.04      % set(auto2) -> set(auto).
% 0.43/1.04      % set(auto) -> set(auto_inference).
% 0.43/1.04      % set(auto) -> set(auto_setup).
% 0.43/1.04      % set(auto_setup) -> set(predicate_elim).
% 0.43/1.04      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.43/1.04      % set(auto) -> set(auto_limits).
% 0.43/1.04      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.43/1.04      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.43/1.04      % set(auto) -> set(auto_denials).
% 0.43/1.04      % set(auto) -> set(auto_process).
% 0.43/1.04      % set(auto2) -> assign(new_constants, 1).
% 0.43/1.04      % set(auto2) -> assign(fold_denial_max, 3).
% 0.43/1.04      % set(auto2) -> assign(max_weight, "200.000").
% 0.43/1.04      % set(auto2) -> assign(max_hours, 1).
% 0.43/1.04      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.43/1.04      % set(auto2) -> assign(max_seconds, 0).
% 0.43/1.04      % set(auto2) -> assign(max_minutes, 5).
% 0.43/1.04      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.43/1.04      % set(auto2) -> set(sort_initial_sos).
% 0.43/1.04      % set(auto2) -> assign(sos_limit, -1).
% 0.43/1.04      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.43/1.04      % set(auto2) -> assign(max_megs, 400).
% 0.43/1.04      % set(auto2) -> assign(stats, some).
% 0.43/1.04      % set(auto2) -> clear(echo_input).
% 0.43/1.04      % set(auto2) -> set(quiet).
% 0.43/1.04      % set(auto2) -> clear(print_initial_clauses).
% 0.43/1.04      % set(auto2) -> clear(print_given).
% 0.43/1.04  assign(lrs_ticks,-1).
% 0.43/1.04  assign(sos_limit,10000).
% 0.43/1.04  assign(order,kbo).
% 0.43/1.04  set(lex_order_vars).
% 0.43/1.04  clear(print_given).
% 0.43/1.04  
% 0.43/1.04  % formulas(sos).  % not echoed (1 formulas)
% 0.43/1.04  
% 0.43/1.04  ============================== end of input ==========================
% 0.43/1.04  
% 0.43/1.04  % From the command line: assign(max_seconds, 300).
% 0.43/1.04  
% 0.43/1.04  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.43/1.04  
% 0.43/1.04  % Formulas that are not ordinary clauses:
% 0.43/1.04  1 -(all X (big_f(X,f(X)) <-> (exists Y ((all Z (big_f(Z,Y) -> big_f(Z,f(X)))) & big_f(X,Y))))) # label(pel60) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.43/1.04  
% 0.43/1.04  ============================== end of process non-clausal formulas ===
% 0.43/1.04  
% 0.43/1.04  ============================== PROCESS INITIAL CLAUSES ===============
% 0.43/1.04  
% 0.43/1.04  ============================== PREDICATE ELIMINATION =================
% 0.43/1.04  
% 0.43/1.04  ============================== end predicate elimination =============
% 0.43/1.04  
% 0.43/1.04  Auto_denials:  (non-Horn, no changes).
% 0.43/1.04  
% 0.43/1.04  Term ordering decisions:
% 0.43/1.04  Function symbol KB weights:  c1=1. c2=1. f=1. f1=1.
% 0.43/1.04  
% 0.43/1.04  ============================== end of process initial clauses ========
% 0.43/1.04  
% 0.43/1.04  ============================== CLAUSES FOR SEARCH ====================
% 0.43/1.04  
% 0.43/1.04  ============================== end of clauses for search =============
% 0.43/1.04  
% 0.43/1.04  ============================== SEARCH ================================
% 0.43/1.04  
% 0.43/1.04  % Starting search at 0.01 seconds.
% 0.43/1.04  
% 0.43/1.04  ============================== PROOF =================================
% 0.43/1.04  % SZS status Theorem
% 0.43/1.04  % SZS output start Refutation
% 0.43/1.04  
% 0.43/1.04  % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.43/1.04  % Length of proof is 14.
% 0.43/1.04  % Level of proof is 8.
% 0.43/1.04  % Maximum clause weight is 12.000.
% 0.43/1.04  % Given clauses 10.
% 0.43/1.04  
% 0.43/1.04  1 -(all X (big_f(X,f(X)) <-> (exists Y ((all Z (big_f(Z,Y) -> big_f(Z,f(X)))) & big_f(X,Y))))) # label(pel60) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.43/1.04  2 big_f(c1,f(c1)) | big_f(c1,c2) # label(pel60) # label(negated_conjecture).  [clausify(1)].
% 0.43/1.04  3 -big_f(c1,f(c1)) | -big_f(f1(A),f(c1)) | -big_f(c1,A) # label(pel60) # label(negated_conjecture).  [clausify(1)].
% 0.43/1.04  4 big_f(c1,f(c1)) | -big_f(A,c2) | big_f(A,f(c1)) # label(pel60) # label(negated_conjecture).  [clausify(1)].
% 0.43/1.04  5 -big_f(c1,f(c1)) | big_f(f1(A),A) | -big_f(c1,A) # label(pel60) # label(negated_conjecture).  [clausify(1)].
% 0.43/1.04  6 -big_f(c1,f(c1)) | -big_f(f1(f(c1)),f(c1)).  [factor(3,a,c)].
% 0.43/1.04  7 big_f(c1,f(c1)) | -big_f(c1,c2).  [factor(4,a,c)].
% 0.43/1.04  8 -big_f(c1,f(c1)) | big_f(f1(f(c1)),f(c1)).  [factor(5,a,c)].
% 0.43/1.04  10 big_f(f1(f(c1)),f(c1)) | big_f(c1,c2).  [resolve(8,a,2,a)].
% 0.43/1.04  11 big_f(c1,c2) | -big_f(c1,f(c1)).  [resolve(10,a,6,b)].
% 0.43/1.04  12 big_f(c1,c2).  [resolve(11,b,2,a),merge(b)].
% 0.43/1.04  13 big_f(c1,f(c1)).  [back_unit_del(7),unit_del(b,12)].
% 0.43/1.04  14 big_f(f1(f(c1)),f(c1)).  [back_unit_del(8),unit_del(a,13)].
% 0.43/1.04  15 $F.  [back_unit_del(6),unit_del(a,13),unit_del(b,14)].
% 0.43/1.04  
% 0.43/1.04  % SZS output end Refutation
% 0.43/1.04  ============================== end of proof ==========================
% 0.43/1.04  
% 0.43/1.04  ============================== STATISTICS ============================
% 0.43/1.04  
% 0.43/1.04  Given=10. Generated=17. Kept=13. proofs=1.
% 0.43/1.04  Usable=2. Sos=1. Demods=0. Limbo=2, Disabled=12. Hints=0.
% 0.43/1.04  Megabytes=0.03.
% 0.43/1.04  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.43/1.04  
% 0.43/1.04  ============================== end of statistics =====================
% 0.43/1.04  
% 0.43/1.04  ============================== end of search =========================
% 0.43/1.04  
% 0.43/1.04  THEOREM PROVED
% 0.43/1.04  % SZS status Theorem
% 0.43/1.04  
% 0.43/1.04  Exiting with 1 proof.
% 0.43/1.04  
% 0.43/1.04  Process 572 exit (max_proofs) Mon Jul 11 19:57:13 2022
% 0.43/1.04  Prover9 interrupted
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