TSTP Solution File: SYN651-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYN651-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n019.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 11:21:39 EDT 2022

% Result   : Unsatisfiable 0.71s 0.98s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN651-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n019.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 : Tue Jul 12 01:01:23 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.71/0.98  ============================== Prover9 ===============================
% 0.71/0.98  Prover9 (32) version 2009-11A, November 2009.
% 0.71/0.98  Process 10979 was started by sandbox on n019.cluster.edu,
% 0.71/0.98  Tue Jul 12 01:01:23 2022
% 0.71/0.98  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_10824_n019.cluster.edu".
% 0.71/0.98  ============================== end of head ===========================
% 0.71/0.98  
% 0.71/0.98  ============================== INPUT =================================
% 0.71/0.98  
% 0.71/0.98  % Reading from file /tmp/Prover9_10824_n019.cluster.edu
% 0.71/0.98  
% 0.71/0.98  set(prolog_style_variables).
% 0.71/0.98  set(auto2).
% 0.71/0.98      % set(auto2) -> set(auto).
% 0.71/0.98      % set(auto) -> set(auto_inference).
% 0.71/0.98      % set(auto) -> set(auto_setup).
% 0.71/0.98      % set(auto_setup) -> set(predicate_elim).
% 0.71/0.98      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.71/0.98      % set(auto) -> set(auto_limits).
% 0.71/0.98      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.71/0.98      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.71/0.98      % set(auto) -> set(auto_denials).
% 0.71/0.98      % set(auto) -> set(auto_process).
% 0.71/0.98      % set(auto2) -> assign(new_constants, 1).
% 0.71/0.98      % set(auto2) -> assign(fold_denial_max, 3).
% 0.71/0.98      % set(auto2) -> assign(max_weight, "200.000").
% 0.71/0.98      % set(auto2) -> assign(max_hours, 1).
% 0.71/0.98      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.71/0.98      % set(auto2) -> assign(max_seconds, 0).
% 0.71/0.98      % set(auto2) -> assign(max_minutes, 5).
% 0.71/0.98      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.71/0.98      % set(auto2) -> set(sort_initial_sos).
% 0.71/0.98      % set(auto2) -> assign(sos_limit, -1).
% 0.71/0.98      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.71/0.98      % set(auto2) -> assign(max_megs, 400).
% 0.71/0.98      % set(auto2) -> assign(stats, some).
% 0.71/0.98      % set(auto2) -> clear(echo_input).
% 0.71/0.98      % set(auto2) -> set(quiet).
% 0.71/0.98      % set(auto2) -> clear(print_initial_clauses).
% 0.71/0.98      % set(auto2) -> clear(print_given).
% 0.71/0.98  assign(lrs_ticks,-1).
% 0.71/0.98  assign(sos_limit,10000).
% 0.71/0.98  assign(order,kbo).
% 0.71/0.98  set(lex_order_vars).
% 0.71/0.98  clear(print_given).
% 0.71/0.98  
% 0.71/0.98  % formulas(sos).  % not echoed (45 formulas)
% 0.71/0.98  
% 0.71/0.98  ============================== end of input ==========================
% 0.71/0.98  
% 0.71/0.98  % From the command line: assign(max_seconds, 300).
% 0.71/0.98  
% 0.71/0.98  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.71/0.98  
% 0.71/0.98  % Formulas that are not ordinary clauses:
% 0.71/0.98  
% 0.71/0.98  ============================== end of process non-clausal formulas ===
% 0.71/0.98  
% 0.71/0.98  ============================== PROCESS INITIAL CLAUSES ===============
% 0.71/0.98  
% 0.71/0.98  ============================== PREDICATE ELIMINATION =================
% 0.71/0.98  
% 0.71/0.98  ============================== end predicate elimination =============
% 0.71/0.98  
% 0.71/0.98  Auto_denials:
% 0.71/0.98    % copying label not_p23_28 to answer in negative clause
% 0.71/0.98  
% 0.71/0.98  Term ordering decisions:
% 0.71/0.98  Function symbol KB weights:  c24=1. c27=1. c25=1. c26=1. c30=1. c31=1. c32=1. c33=1. c34=1. c28=1. c29=1. f5=1. f10=1. f7=1. f12=1. f14=1. f16=1. f18=1. f20=1. f22=1.
% 0.71/0.98  
% 0.71/0.98  ============================== end of process initial clauses ========
% 0.71/0.98  
% 0.71/0.98  ============================== CLAUSES FOR SEARCH ====================
% 0.71/0.98  
% 0.71/0.98  ============================== end of clauses for search =============
% 0.71/0.98  
% 0.71/0.98  ============================== SEARCH ================================
% 0.71/0.98  
% 0.71/0.98  % Starting search at 0.01 seconds.
% 0.71/0.98  
% 0.71/0.98  ============================== PROOF =================================
% 0.71/0.98  % SZS status Unsatisfiable
% 0.71/0.98  % SZS output start Refutation
% 0.71/0.98  
% 0.71/0.98  % Proof 1 at 0.02 (+ 0.00) seconds: not_p23_28.
% 0.71/0.98  % Length of proof is 13.
% 0.71/0.98  % Level of proof is 3.
% 0.71/0.98  % Maximum clause weight is 28.000.
% 0.71/0.98  % Given clauses 62.
% 0.71/0.98  
% 0.71/0.98  13 p23(f5(c27,c28),c30) # label(p23_13) # label(negated_conjecture).  [assumption].
% 0.71/0.98  14 p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29) # label(p23_26) # label(negated_conjecture).  [assumption].
% 0.71/0.98  15 -p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29) # label(not_p23_28) # label(negated_conjecture) # answer(not_p23_28).  [assumption].
% 0.71/0.98  41 p23(f5(A,f14(f16(f18(f20(c31,B),C),A),D)),D) | -p23(f5(f7(f10(c24,f12(c25,B)),A),C),D) # label(p23_41) # label(negated_conjecture).  [assumption].
% 0.71/0.98  43 p23(f5(f7(f10(c24,f12(c25,A)),B),C),D) | -p23(f5(B,E),D) | -p23(f5(f7(f10(c24,A),B),C),E) # label(p23_43) # label(negated_conjecture).  [assumption].
% 0.71/0.98  44 p23(f5(f7(f10(c24,f12(c25,c26)),c27),A),B) | -p23(f5(c27,A),C) | -p23(f5(f7(f10(c24,c26),c27),C),B) # label(p23_44) # label(negated_conjecture).  [assumption].
% 0.71/0.98  45 p23(f5(f7(f10(c24,A),B),C),f14(f16(f18(f20(c31,A),C),B),D)) | -p23(f5(f7(f10(c24,f12(c25,A)),B),C),D) # label(p23_45) # label(negated_conjecture).  [assumption].
% 0.71/0.98  50 p23(f5(c27,f14(f16(f18(f20(c31,c26),c30),c27),c29)),c29).  [ur(41,b,14,a)].
% 0.71/0.98  52 -p23(f5(c27,A),c29) | -p23(f5(f7(f10(c24,f12(c25,c26)),c27),c28),A) # answer(not_p23_28).  [resolve(43,a,15,a)].
% 0.71/0.98  53 p23(f5(f7(f10(c24,c26),c27),c30),f14(f16(f18(f20(c31,c26),c30),c27),c29)).  [ur(45,b,14,a)].
% 0.71/0.98  99 -p23(f5(f7(f10(c24,f12(c25,c26)),c27),c28),f14(f16(f18(f20(c31,c26),c30),c27),c29)) # answer(not_p23_28).  [resolve(50,a,52,a)].
% 0.71/0.98  132 p23(f5(f7(f10(c24,f12(c25,c26)),c27),c28),f14(f16(f18(f20(c31,c26),c30),c27),c29)).  [ur(44,b,13,a,c,53,a)].
% 0.71/0.98  133 $F # answer(not_p23_28).  [resolve(132,a,99,a)].
% 0.71/0.98  
% 0.71/0.98  % SZS output end Refutation
% 0.71/0.98  ============================== end of proof ==========================
% 0.71/0.98  
% 0.71/0.98  ============================== STATISTICS ============================
% 0.71/0.98  
% 0.71/0.98  Given=62. Generated=191. Kept=132. proofs=1.
% 0.71/0.98  Usable=61. Sos=62. Demods=0. Limbo=2, Disabled=51. Hints=0.
% 0.71/0.98  Megabytes=0.30.
% 0.71/0.98  User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.71/0.98  
% 0.71/0.98  ============================== end of statistics =====================
% 0.71/0.98  
% 0.71/0.98  ============================== end of search =========================
% 0.71/0.98  
% 0.71/0.98  THEOREM PROVED
% 0.71/0.98  % SZS status Unsatisfiable
% 0.71/0.98  
% 0.71/0.98  Exiting with 1 proof.
% 0.71/0.98  
% 0.71/0.98  Process 10979 exit (max_proofs) Tue Jul 12 01:01:23 2022
% 0.71/0.98  Prover9 interrupted
%------------------------------------------------------------------------------