TSTP Solution File: SYN575-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYN575-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n013.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 11:21:11 EDT 2022

% Result   : Unsatisfiable 0.44s 1.00s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SYN575-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.34  % Computer : n013.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 : Mon Jul 11 23:10:44 EDT 2022
% 0.12/0.35  % CPUTime  : 
% 0.44/1.00  ============================== Prover9 ===============================
% 0.44/1.00  Prover9 (32) version 2009-11A, November 2009.
% 0.44/1.00  Process 12919 was started by sandbox2 on n013.cluster.edu,
% 0.44/1.00  Mon Jul 11 23:10:45 2022
% 0.44/1.00  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_12766_n013.cluster.edu".
% 0.44/1.00  ============================== end of head ===========================
% 0.44/1.00  
% 0.44/1.00  ============================== INPUT =================================
% 0.44/1.00  
% 0.44/1.00  % Reading from file /tmp/Prover9_12766_n013.cluster.edu
% 0.44/1.00  
% 0.44/1.00  set(prolog_style_variables).
% 0.44/1.00  set(auto2).
% 0.44/1.00      % set(auto2) -> set(auto).
% 0.44/1.00      % set(auto) -> set(auto_inference).
% 0.44/1.00      % set(auto) -> set(auto_setup).
% 0.44/1.00      % set(auto_setup) -> set(predicate_elim).
% 0.44/1.00      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.44/1.00      % set(auto) -> set(auto_limits).
% 0.44/1.00      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.44/1.00      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.44/1.00      % set(auto) -> set(auto_denials).
% 0.44/1.00      % set(auto) -> set(auto_process).
% 0.44/1.00      % set(auto2) -> assign(new_constants, 1).
% 0.44/1.00      % set(auto2) -> assign(fold_denial_max, 3).
% 0.44/1.00      % set(auto2) -> assign(max_weight, "200.000").
% 0.44/1.00      % set(auto2) -> assign(max_hours, 1).
% 0.44/1.00      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.44/1.00      % set(auto2) -> assign(max_seconds, 0).
% 0.44/1.00      % set(auto2) -> assign(max_minutes, 5).
% 0.44/1.00      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.44/1.00      % set(auto2) -> set(sort_initial_sos).
% 0.44/1.00      % set(auto2) -> assign(sos_limit, -1).
% 0.44/1.00      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.44/1.00      % set(auto2) -> assign(max_megs, 400).
% 0.44/1.00      % set(auto2) -> assign(stats, some).
% 0.44/1.00      % set(auto2) -> clear(echo_input).
% 0.44/1.00      % set(auto2) -> set(quiet).
% 0.44/1.00      % set(auto2) -> clear(print_initial_clauses).
% 0.44/1.00      % set(auto2) -> clear(print_given).
% 0.44/1.00  assign(lrs_ticks,-1).
% 0.44/1.00  assign(sos_limit,10000).
% 0.44/1.00  assign(order,kbo).
% 0.44/1.00  set(lex_order_vars).
% 0.44/1.00  clear(print_given).
% 0.44/1.00  
% 0.44/1.00  % formulas(sos).  % not echoed (22 formulas)
% 0.44/1.00  
% 0.44/1.00  ============================== end of input ==========================
% 0.44/1.00  
% 0.44/1.00  % From the command line: assign(max_seconds, 300).
% 0.44/1.00  
% 0.44/1.00  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.44/1.00  
% 0.44/1.00  % Formulas that are not ordinary clauses:
% 0.44/1.00  
% 0.44/1.00  ============================== end of process non-clausal formulas ===
% 0.44/1.00  
% 0.44/1.00  ============================== PROCESS INITIAL CLAUSES ===============
% 0.44/1.00  
% 0.44/1.00  ============================== PREDICATE ELIMINATION =================
% 0.44/1.00  
% 0.44/1.00  ============================== end predicate elimination =============
% 0.44/1.00  
% 0.44/1.00  Auto_denials:  (non-Horn, no changes).
% 0.44/1.00  
% 0.44/1.00  Term ordering decisions:
% 0.44/1.00  Function symbol KB weights:  c13=1. c14=1. c12=1. c15=1. f8=1. f6=1. f5=1. f4=1.
% 0.44/1.00  
% 0.44/1.00  ============================== end of process initial clauses ========
% 0.44/1.00  
% 0.44/1.00  ============================== CLAUSES FOR SEARCH ====================
% 0.44/1.00  
% 0.44/1.00  ============================== end of clauses for search =============
% 0.44/1.00  
% 0.44/1.00  ============================== SEARCH ================================
% 0.44/1.00  
% 0.44/1.00  % Starting search at 0.01 seconds.
% 0.44/1.00  
% 0.44/1.00  ============================== PROOF =================================
% 0.44/1.00  % SZS status Unsatisfiable
% 0.44/1.00  % SZS output start Refutation
% 0.44/1.00  
% 0.44/1.00  % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.44/1.00  % Length of proof is 22.
% 0.44/1.00  % Level of proof is 5.
% 0.44/1.00  % Maximum clause weight is 21.000.
% 0.44/1.00  % Given clauses 57.
% 0.44/1.00  
% 0.44/1.00  2 p7(A,A) # label(p7_2) # label(negated_conjecture).  [assumption].
% 0.44/1.00  3 p3(A,A) # label(p3_3) # label(negated_conjecture).  [assumption].
% 0.44/1.00  4 p2(A,A) # label(p2_4) # label(negated_conjecture).  [assumption].
% 0.44/1.00  5 p9(c12,c13) # label(p9_5) # label(negated_conjecture).  [assumption].
% 0.44/1.00  6 p11(c14,c15) # label(p11_6) # label(negated_conjecture).  [assumption].
% 0.44/1.00  8 p3(f6(f5(A)),f6(A)) # label(p3_8) # label(negated_conjecture).  [assumption].
% 0.44/1.00  9 -p11(A,c15) | -p9(c12,B) | -p2(C,f5(A)) | -p9(f8(B,C),B) | -p9(f8(B,C),f6(C)) # label(not_p11_22) # label(negated_conjecture).  [assumption].
% 0.44/1.00  11 p9(A,f6(c14)) | -p9(A,c13) # label(p9_10) # label(negated_conjecture).  [assumption].
% 0.44/1.00  17 p3(A,B) | -p3(C,A) | -p3(C,B) # label(p3_16) # label(negated_conjecture).  [assumption].
% 0.44/1.00  20 p9(A,B) | -p7(C,A) | -p9(C,D) | -p3(D,B) # label(p9_19) # label(negated_conjecture).  [assumption].
% 0.44/1.00  22 p9(f8(A,B),A) | p9(f8(A,B),f6(B)) | -p11(C,c15) | -p9(c12,A) | -p2(B,f5(C)) # label(p9_21) # label(negated_conjecture).  [assumption].
% 0.44/1.00  24 p9(f8(f6(A),A),f6(A)) | -p11(B,c15) | -p9(c12,f6(A)) | -p2(A,f5(B)).  [factor(22,a,b)].
% 0.44/1.00  25 -p9(c12,A) | -p2(B,f5(c14)) | -p9(f8(A,B),A) | -p9(f8(A,B),f6(B)).  [resolve(9,a,6,a)].
% 0.44/1.00  26 -p9(c12,f6(A)) | -p2(A,f5(c14)) | -p9(f8(f6(A),A),f6(A)).  [factor(25,c,d)].
% 0.44/1.00  27 p9(c12,f6(c14)).  [resolve(11,b,5,a)].
% 0.44/1.00  34 p3(A,B) | -p3(B,A).  [resolve(17,c,3,a)].
% 0.44/1.00  37 p9(A,B) | -p9(A,C) | -p3(C,B).  [resolve(20,b,2,a)].
% 0.44/1.00  43 p3(f6(A),f6(f5(A))).  [resolve(34,b,8,a)].
% 0.44/1.00  88 p9(c12,A) | -p3(f6(c14),A).  [resolve(37,b,27,a)].
% 0.44/1.00  92 p9(c12,f6(f5(c14))).  [resolve(88,b,43,a)].
% 0.44/1.00  95 -p9(f8(f6(f5(c14)),f5(c14)),f6(f5(c14))).  [ur(26,a,92,a,b,4,a)].
% 0.44/1.00  104 $F.  [ur(24,a,95,a,c,92,a,d,4,a),unit_del(a,6)].
% 0.44/1.00  
% 0.44/1.00  % SZS output end Refutation
% 0.44/1.00  ============================== end of proof ==========================
% 0.44/1.00  
% 0.44/1.00  ============================== STATISTICS ============================
% 0.44/1.00  
% 0.44/1.00  Given=57. Generated=157. Kept=103. proofs=1.
% 0.44/1.00  Usable=57. Sos=42. Demods=0. Limbo=4, Disabled=22. Hints=0.
% 0.44/1.00  Megabytes=0.11.
% 0.44/1.00  User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.44/1.00  
% 0.44/1.00  ============================== end of statistics =====================
% 0.44/1.00  
% 0.44/1.00  ============================== end of search =========================
% 0.44/1.00  
% 0.44/1.00  THEOREM PROVED
% 0.44/1.00  % SZS status Unsatisfiable
% 0.44/1.00  
% 0.44/1.00  Exiting with 1 proof.
% 0.44/1.00  
% 0.44/1.00  Process 12919 exit (max_proofs) Mon Jul 11 23:10:45 2022
% 0.44/1.00  Prover9 interrupted
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