TSTP Solution File: SYN691-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYN691-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n003.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 11:21:54 EDT 2022

% Result   : Unsatisfiable 0.69s 0.99s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN691-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n003.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 13:22:30 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.69/0.99  ============================== Prover9 ===============================
% 0.69/0.99  Prover9 (32) version 2009-11A, November 2009.
% 0.69/0.99  Process 13483 was started by sandbox on n003.cluster.edu,
% 0.69/0.99  Mon Jul 11 13:22:30 2022
% 0.69/0.99  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_13330_n003.cluster.edu".
% 0.69/0.99  ============================== end of head ===========================
% 0.69/0.99  
% 0.69/0.99  ============================== INPUT =================================
% 0.69/0.99  
% 0.69/0.99  % Reading from file /tmp/Prover9_13330_n003.cluster.edu
% 0.69/0.99  
% 0.69/0.99  set(prolog_style_variables).
% 0.69/0.99  set(auto2).
% 0.69/0.99      % set(auto2) -> set(auto).
% 0.69/0.99      % set(auto) -> set(auto_inference).
% 0.69/0.99      % set(auto) -> set(auto_setup).
% 0.69/0.99      % set(auto_setup) -> set(predicate_elim).
% 0.69/0.99      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.69/0.99      % set(auto) -> set(auto_limits).
% 0.69/0.99      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.69/0.99      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.69/0.99      % set(auto) -> set(auto_denials).
% 0.69/0.99      % set(auto) -> set(auto_process).
% 0.69/0.99      % set(auto2) -> assign(new_constants, 1).
% 0.69/0.99      % set(auto2) -> assign(fold_denial_max, 3).
% 0.69/0.99      % set(auto2) -> assign(max_weight, "200.000").
% 0.69/0.99      % set(auto2) -> assign(max_hours, 1).
% 0.69/0.99      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.69/0.99      % set(auto2) -> assign(max_seconds, 0).
% 0.69/0.99      % set(auto2) -> assign(max_minutes, 5).
% 0.69/0.99      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.69/0.99      % set(auto2) -> set(sort_initial_sos).
% 0.69/0.99      % set(auto2) -> assign(sos_limit, -1).
% 0.69/0.99      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.69/0.99      % set(auto2) -> assign(max_megs, 400).
% 0.69/0.99      % set(auto2) -> assign(stats, some).
% 0.69/0.99      % set(auto2) -> clear(echo_input).
% 0.69/0.99      % set(auto2) -> set(quiet).
% 0.69/0.99      % set(auto2) -> clear(print_initial_clauses).
% 0.69/0.99      % set(auto2) -> clear(print_given).
% 0.69/0.99  assign(lrs_ticks,-1).
% 0.69/0.99  assign(sos_limit,10000).
% 0.69/0.99  assign(order,kbo).
% 0.69/0.99  set(lex_order_vars).
% 0.69/0.99  clear(print_given).
% 0.69/0.99  
% 0.69/0.99  % formulas(sos).  % not echoed (67 formulas)
% 0.69/0.99  
% 0.69/0.99  ============================== end of input ==========================
% 0.69/0.99  
% 0.69/0.99  % From the command line: assign(max_seconds, 300).
% 0.69/0.99  
% 0.69/0.99  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.69/0.99  
% 0.69/0.99  % Formulas that are not ordinary clauses:
% 0.69/0.99  
% 0.69/0.99  ============================== end of process non-clausal formulas ===
% 0.69/0.99  
% 0.69/0.99  ============================== PROCESS INITIAL CLAUSES ===============
% 0.69/0.99  
% 0.69/0.99  ============================== PREDICATE ELIMINATION =================
% 0.69/0.99  
% 0.69/0.99  ============================== end predicate elimination =============
% 0.69/0.99  
% 0.69/0.99  Auto_denials:
% 0.69/0.99    % copying label not_p39_43 to answer in negative clause
% 0.69/0.99  
% 0.69/0.99  Term ordering decisions:
% 0.69/0.99  Function symbol KB weights:  c42=1. c47=1. c40=1. c41=1. c48=1. c49=1. c43=1. c44=1. c45=1. c46=1. f10=1. f13=1. f15=1. f17=1. f19=1. f21=1. f5=1. f24=1. f26=1. f28=1. f30=1. f32=1. f34=1. f36=1. f38=1. f7=1.
% 0.69/0.99  
% 0.69/0.99  ============================== end of process initial clauses ========
% 0.69/0.99  
% 0.69/0.99  ============================== CLAUSES FOR SEARCH ====================
% 0.69/0.99  
% 0.69/0.99  ============================== end of clauses for search =============
% 0.69/0.99  
% 0.69/0.99  ============================== SEARCH ================================
% 0.69/0.99  
% 0.69/0.99  % Starting search at 0.02 seconds.
% 0.69/0.99  
% 0.69/0.99  ============================== PROOF =================================
% 0.69/0.99  % SZS status Unsatisfiable
% 0.69/0.99  % SZS output start Refutation
% 0.69/0.99  
% 0.69/0.99  % Proof 1 at 0.02 (+ 0.00) seconds: not_p39_43.
% 0.69/0.99  % Length of proof is 16.
% 0.69/0.99  % Level of proof is 4.
% 0.69/0.99  % Maximum clause weight is 39.000.
% 0.69/0.99  % Given clauses 78.
% 0.69/0.99  
% 0.69/0.99  15 p22(A,A) # label(p22_15) # label(negated_conjecture).  [assumption].
% 0.69/0.99  17 p2(A,A) # label(p2_17) # label(negated_conjecture).  [assumption].
% 0.69/0.99  22 p39(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),c46) # label(p39_46) # label(negated_conjecture).  [assumption].
% 0.69/0.99  23 p3(f7(c41,f10(f13(f15(c42,A),B),C)),f10(f13(f15(c42,f17(f19(f21(c47,A),B),C)),f26(f28(f30(c48,A),B),C)),f34(f36(f38(c49,A),B),C))) # label(p3_67) # label(negated_conjecture).  [assumption].
% 0.69/0.99  24 -p39(f5(c40,f10(f13(f15(c42,c43),c44),c45)),c46) # label(not_p39_43) # label(negated_conjecture) # answer(not_p39_43).  [assumption].
% 0.69/0.99  46 p39(A,B) | -p39(f17(f19(f21(c47,A),C),D),B) # label(p39_44) # label(negated_conjecture).  [assumption].
% 0.69/0.99  47 p39(A,B) | -p39(C,D) | -p4(C,A) | -p22(D,B) # label(p39_45) # label(negated_conjecture).  [assumption].
% 0.69/0.99  51 p4(f5(A,B),f5(C,D)) | -p2(A,C) | -p3(B,D) # label(p4_50) # label(negated_conjecture).  [assumption].
% 0.69/0.99  64 p39(A,B) | -p39(f5(c40,f10(f13(f15(c42,A),C),D)),B) # label(p39_63) # label(negated_conjecture).  [assumption].
% 0.69/0.99  65 p39(f5(c40,f10(f13(f15(c42,A),B),C)),D) | -p39(A,D) # label(p39_64) # label(negated_conjecture).  [assumption].
% 0.69/0.99  72 p4(f5(A,f7(c41,f10(f13(f15(c42,B),C),D))),f5(A,f10(f13(f15(c42,f17(f19(f21(c47,B),C),D)),f26(f28(f30(c48,B),C),D)),f34(f36(f38(c49,B),C),D)))).  [ur(51,b,17,a,c,23,a)].
% 0.69/0.99  75 -p39(c43,c46) # answer(not_p39_43).  [resolve(65,a,24,a)].
% 0.69/0.99  81 -p39(f17(f19(f21(c47,c43),A),B),c46) # answer(not_p39_43).  [resolve(75,a,46,a)].
% 0.69/0.99  110 p39(f5(c40,f10(f13(f15(c42,f17(f19(f21(c47,c43),c44),c45)),f26(f28(f30(c48,c43),c44),c45)),f34(f36(f38(c49,c43),c44),c45))),c46).  [ur(47,b,22,a,c,72,a,d,15,a)].
% 0.69/0.99  118 -p39(f5(c40,f10(f13(f15(c42,f17(f19(f21(c47,c43),A),B)),C),D)),c46) # answer(not_p39_43).  [resolve(81,a,64,a)].
% 0.69/0.99  119 $F # answer(not_p39_43).  [resolve(118,a,110,a)].
% 0.69/0.99  
% 0.69/0.99  % SZS output end Refutation
% 0.69/0.99  ============================== end of proof ==========================
% 0.69/0.99  
% 0.69/0.99  ============================== STATISTICS ============================
% 0.69/0.99  
% 0.69/0.99  Given=78. Generated=203. Kept=118. proofs=1.
% 0.69/0.99  Usable=77. Sos=39. Demods=0. Limbo=0, Disabled=68. Hints=0.
% 0.69/0.99  Megabytes=0.35.
% 0.69/0.99  User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.69/0.99  
% 0.69/0.99  ============================== end of statistics =====================
% 0.69/0.99  
% 0.69/0.99  ============================== end of search =========================
% 0.69/0.99  
% 0.69/0.99  THEOREM PROVED
% 0.69/0.99  % SZS status Unsatisfiable
% 0.69/0.99  
% 0.69/0.99  Exiting with 1 proof.
% 0.69/0.99  
% 0.69/0.99  Process 13483 exit (max_proofs) Mon Jul 11 13:22:30 2022
% 0.69/0.99  Prover9 interrupted
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