TSTP Solution File: SYO629-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYO629-1 : TPTP v8.1.0. Released v7.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n022.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 19:17:40 EDT 2022

% Result   : Unsatisfiable 0.70s 1.00s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYO629-1 : TPTP v8.1.0. Released v7.1.0.
% 0.07/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.34  % Computer : n022.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 : Sat Jul  9 08:08:41 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.70/1.00  ============================== Prover9 ===============================
% 0.70/1.00  Prover9 (32) version 2009-11A, November 2009.
% 0.70/1.00  Process 17683 was started by sandbox2 on n022.cluster.edu,
% 0.70/1.00  Sat Jul  9 08:08:41 2022
% 0.70/1.00  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_17529_n022.cluster.edu".
% 0.70/1.00  ============================== end of head ===========================
% 0.70/1.00  
% 0.70/1.00  ============================== INPUT =================================
% 0.70/1.00  
% 0.70/1.00  % Reading from file /tmp/Prover9_17529_n022.cluster.edu
% 0.70/1.00  
% 0.70/1.00  set(prolog_style_variables).
% 0.70/1.00  set(auto2).
% 0.70/1.00      % set(auto2) -> set(auto).
% 0.70/1.00      % set(auto) -> set(auto_inference).
% 0.70/1.00      % set(auto) -> set(auto_setup).
% 0.70/1.00      % set(auto_setup) -> set(predicate_elim).
% 0.70/1.00      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.70/1.00      % set(auto) -> set(auto_limits).
% 0.70/1.00      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.70/1.00      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.70/1.00      % set(auto) -> set(auto_denials).
% 0.70/1.00      % set(auto) -> set(auto_process).
% 0.70/1.00      % set(auto2) -> assign(new_constants, 1).
% 0.70/1.00      % set(auto2) -> assign(fold_denial_max, 3).
% 0.70/1.00      % set(auto2) -> assign(max_weight, "200.000").
% 0.70/1.00      % set(auto2) -> assign(max_hours, 1).
% 0.70/1.00      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.70/1.00      % set(auto2) -> assign(max_seconds, 0).
% 0.70/1.00      % set(auto2) -> assign(max_minutes, 5).
% 0.70/1.00      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.70/1.00      % set(auto2) -> set(sort_initial_sos).
% 0.70/1.00      % set(auto2) -> assign(sos_limit, -1).
% 0.70/1.00      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.70/1.00      % set(auto2) -> assign(max_megs, 400).
% 0.70/1.00      % set(auto2) -> assign(stats, some).
% 0.70/1.00      % set(auto2) -> clear(echo_input).
% 0.70/1.00      % set(auto2) -> set(quiet).
% 0.70/1.00      % set(auto2) -> clear(print_initial_clauses).
% 0.70/1.00      % set(auto2) -> clear(print_given).
% 0.70/1.00  assign(lrs_ticks,-1).
% 0.70/1.00  assign(sos_limit,10000).
% 0.70/1.00  assign(order,kbo).
% 0.70/1.00  set(lex_order_vars).
% 0.70/1.00  clear(print_given).
% 0.70/1.00  
% 0.70/1.00  % formulas(sos).  % not echoed (12 formulas)
% 0.70/1.00  
% 0.70/1.00  ============================== end of input ==========================
% 0.70/1.00  
% 0.70/1.00  % From the command line: assign(max_seconds, 300).
% 0.70/1.00  
% 0.70/1.00  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.70/1.00  
% 0.70/1.00  % Formulas that are not ordinary clauses:
% 0.70/1.00  
% 0.70/1.00  ============================== end of process non-clausal formulas ===
% 0.70/1.00  
% 0.70/1.00  ============================== PROCESS INITIAL CLAUSES ===============
% 0.70/1.00  
% 0.70/1.00  ============================== PREDICATE ELIMINATION =================
% 0.70/1.00  1 -LE(f(A),s(0)) | -iLEQ(A,B) | E(0,f(B)) | LE(f(B),0) # label(clause_10_06) # label(axiom).  [assumption].
% 0.70/1.00  2 iLEQ(A,A) # label(clause_0_02) # label(axiom).  [assumption].
% 0.70/1.00  3 iLEQ(A,A) # label(clause_9_12) # label(axiom).  [assumption].
% 0.70/1.00  4 iLEQ(A,g(A)) # label(clause_3_09) # label(axiom).  [assumption].
% 0.70/1.00  5 iLEQ(A,g(A)) # label(clause_5_10) # label(axiom).  [assumption].
% 0.70/1.00  Derived: -LE(f(A),s(0)) | E(0,f(A)) | LE(f(A),0).  [resolve(1,b,2,a)].
% 0.70/1.00  Derived: -LE(f(A),s(0)) | E(0,f(g(A))) | LE(f(g(A)),0).  [resolve(1,b,4,a)].
% 0.70/1.00  
% 0.70/1.00  ============================== end predicate elimination =============
% 0.70/1.00  
% 0.70/1.00  Auto_denials:  (non-Horn, no changes).
% 0.70/1.00  
% 0.70/1.00  Term ordering decisions:
% 0.70/1.00  Function symbol KB weights:  0=1. f=1. g=1. s=1.
% 0.70/1.00  
% 0.70/1.00  ============================== end of process initial clauses ========
% 0.70/1.00  
% 0.70/1.00  ============================== CLAUSES FOR SEARCH ====================
% 0.70/1.00  
% 0.70/1.00  ============================== end of clauses for search =============
% 0.70/1.00  
% 0.70/1.00  ============================== SEARCH ================================
% 0.70/1.00  
% 0.70/1.00  % Starting search at 0.01 seconds.
% 0.70/1.00  
% 0.70/1.00  ============================== PROOF =================================
% 0.70/1.00  % SZS status Unsatisfiable
% 0.70/1.00  % SZS output start Refutation
% 0.70/1.00  
% 0.70/1.00  % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.70/1.00  % Length of proof is 20.
% 0.70/1.00  % Level of proof is 7.
% 0.70/1.00  % Maximum clause weight is 11.000.
% 0.70/1.00  % Given clauses 10.
% 0.70/1.00  
% 0.70/1.00  1 -LE(f(A),s(0)) | -iLEQ(A,B) | E(0,f(B)) | LE(f(B),0) # label(clause_10_06) # label(axiom).  [assumption].
% 0.70/1.00  2 iLEQ(A,A) # label(clause_0_02) # label(axiom).  [assumption].
% 0.70/1.00  4 iLEQ(A,g(A)) # label(clause_3_09) # label(axiom).  [assumption].
% 0.70/1.00  6 E(s(0),f(A)) | LE(f(A),s(0)) # label(clause_6_04) # label(axiom).  [assumption].
% 0.70/1.00  7 -LE(f(A),0) # label(clause_7_05) # label(axiom).  [assumption].
% 0.70/1.00  8 -E(f(A),f(g(A))) # label(clause_8_01) # label(axiom).  [assumption].
% 0.70/1.00  9 -E(0,f(A)) | -E(0,f(g(A))) | E(f(A),f(g(A))) # label(clause_11_03) # label(axiom).  [assumption].
% 0.70/1.00  10 -E(0,f(A)) | -E(0,f(g(A))).  [copy(9),unit_del(c,8)].
% 0.70/1.00  11 -E(s(0),f(A)) | -E(s(0),f(g(A))) | E(f(A),f(g(A))) # label(clause_1_07) # label(axiom).  [assumption].
% 0.70/1.00  12 -E(s(0),f(A)) | -E(s(0),f(g(A))).  [copy(11),unit_del(c,8)].
% 0.70/1.00  13 -LE(f(A),s(0)) | E(0,f(A)) | LE(f(A),0).  [resolve(1,b,2,a)].
% 0.70/1.00  14 -LE(f(A),s(0)) | E(0,f(A)).  [copy(13),unit_del(c,7)].
% 0.70/1.00  15 -LE(f(A),s(0)) | E(0,f(g(A))) | LE(f(g(A)),0).  [resolve(1,b,4,a)].
% 0.70/1.00  16 -LE(f(A),s(0)) | E(0,f(g(A))).  [copy(15),unit_del(c,7)].
% 0.70/1.00  17 E(0,f(A)) | E(s(0),f(A)).  [resolve(14,a,6,b)].
% 0.70/1.00  18 E(0,f(g(A))) | E(s(0),f(A)).  [resolve(16,a,6,b)].
% 0.70/1.00  19 E(0,f(g(A))) | -E(s(0),f(A)).  [resolve(17,b,12,b)].
% 0.70/1.00  21 E(0,f(g(A))).  [resolve(19,b,18,b),merge(b)].
% 0.70/1.00  22 -E(0,f(A)).  [back_unit_del(10),unit_del(b,21)].
% 0.70/1.00  23 $F.  [resolve(22,a,21,a)].
% 0.70/1.00  
% 0.70/1.00  % SZS output end Refutation
% 0.70/1.00  ============================== end of proof ==========================
% 0.70/1.00  
% 0.70/1.00  ============================== STATISTICS ============================
% 0.70/1.00  
% 0.70/1.00  Given=10. Generated=16. Kept=13. proofs=1.
% 0.70/1.00  Usable=6. Sos=0. Demods=0. Limbo=1, Disabled=19. Hints=0.
% 0.70/1.00  Megabytes=0.03.
% 0.70/1.00  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.70/1.00  
% 0.70/1.00  ============================== end of statistics =====================
% 0.70/1.00  
% 0.70/1.00  ============================== end of search =========================
% 0.70/1.00  
% 0.70/1.00  THEOREM PROVED
% 0.70/1.00  % SZS status Unsatisfiable
% 0.70/1.00  
% 0.70/1.00  Exiting with 1 proof.
% 0.70/1.00  
% 0.70/1.00  Process 17683 exit (max_proofs) Sat Jul  9 08:08:41 2022
% 0.70/1.00  Prover9 interrupted
%------------------------------------------------------------------------------