TSTP Solution File: SYN623-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYN623-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n004.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 11:21:29 EDT 2022

% Result   : Unsatisfiable 0.42s 0.99s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SYN623-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n004.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 15:16:37 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.42/0.99  ============================== Prover9 ===============================
% 0.42/0.99  Prover9 (32) version 2009-11A, November 2009.
% 0.42/0.99  Process 27476 was started by sandbox on n004.cluster.edu,
% 0.42/0.99  Mon Jul 11 15:16:38 2022
% 0.42/0.99  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_27323_n004.cluster.edu".
% 0.42/0.99  ============================== end of head ===========================
% 0.42/0.99  
% 0.42/0.99  ============================== INPUT =================================
% 0.42/0.99  
% 0.42/0.99  % Reading from file /tmp/Prover9_27323_n004.cluster.edu
% 0.42/0.99  
% 0.42/0.99  set(prolog_style_variables).
% 0.42/0.99  set(auto2).
% 0.42/0.99      % set(auto2) -> set(auto).
% 0.42/0.99      % set(auto) -> set(auto_inference).
% 0.42/0.99      % set(auto) -> set(auto_setup).
% 0.42/0.99      % set(auto_setup) -> set(predicate_elim).
% 0.42/0.99      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.42/0.99      % set(auto) -> set(auto_limits).
% 0.42/0.99      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.42/0.99      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.42/0.99      % set(auto) -> set(auto_denials).
% 0.42/0.99      % set(auto) -> set(auto_process).
% 0.42/0.99      % set(auto2) -> assign(new_constants, 1).
% 0.42/0.99      % set(auto2) -> assign(fold_denial_max, 3).
% 0.42/0.99      % set(auto2) -> assign(max_weight, "200.000").
% 0.42/0.99      % set(auto2) -> assign(max_hours, 1).
% 0.42/0.99      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.42/0.99      % set(auto2) -> assign(max_seconds, 0).
% 0.42/0.99      % set(auto2) -> assign(max_minutes, 5).
% 0.42/0.99      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.42/0.99      % set(auto2) -> set(sort_initial_sos).
% 0.42/0.99      % set(auto2) -> assign(sos_limit, -1).
% 0.42/0.99      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.42/0.99      % set(auto2) -> assign(max_megs, 400).
% 0.42/0.99      % set(auto2) -> assign(stats, some).
% 0.42/0.99      % set(auto2) -> clear(echo_input).
% 0.42/0.99      % set(auto2) -> set(quiet).
% 0.42/0.99      % set(auto2) -> clear(print_initial_clauses).
% 0.42/0.99      % set(auto2) -> clear(print_given).
% 0.42/0.99  assign(lrs_ticks,-1).
% 0.42/0.99  assign(sos_limit,10000).
% 0.42/0.99  assign(order,kbo).
% 0.42/0.99  set(lex_order_vars).
% 0.42/0.99  clear(print_given).
% 0.42/0.99  
% 0.42/0.99  % formulas(sos).  % not echoed (35 formulas)
% 0.42/0.99  
% 0.42/0.99  ============================== end of input ==========================
% 0.42/0.99  
% 0.42/0.99  % From the command line: assign(max_seconds, 300).
% 0.42/0.99  
% 0.42/0.99  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.42/0.99  
% 0.42/0.99  % Formulas that are not ordinary clauses:
% 0.42/0.99  
% 0.42/0.99  ============================== end of process non-clausal formulas ===
% 0.42/0.99  
% 0.42/0.99  ============================== PROCESS INITIAL CLAUSES ===============
% 0.42/0.99  
% 0.42/0.99  ============================== PREDICATE ELIMINATION =================
% 0.42/0.99  
% 0.42/0.99  ============================== end predicate elimination =============
% 0.42/0.99  
% 0.42/0.99  Auto_denials:  (non-Horn, no changes).
% 0.42/0.99  
% 0.42/0.99  Term ordering decisions:
% 0.42/0.99  Function symbol KB weights:  c25=1. c19=1. c26=1. c20=1. c23=1. c24=1. c27=1. c28=1. c29=1. c21=1. c22=1. f4=1. f11=1. f13=1. f15=1. f6=1. f9=1.
% 0.42/0.99  
% 0.42/0.99  ============================== end of process initial clauses ========
% 0.42/0.99  
% 0.42/0.99  ============================== CLAUSES FOR SEARCH ====================
% 0.42/0.99  
% 0.42/0.99  ============================== end of clauses for search =============
% 0.42/0.99  
% 0.42/0.99  ============================== SEARCH ================================
% 0.42/0.99  
% 0.42/0.99  % Starting search at 0.01 seconds.
% 0.42/0.99  
% 0.42/0.99  ============================== PROOF =================================
% 0.42/0.99  % SZS status Unsatisfiable
% 0.42/0.99  % SZS output start Refutation
% 0.42/0.99  
% 0.42/0.99  % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.42/0.99  % Length of proof is 21.
% 0.42/0.99  % Level of proof is 7.
% 0.42/0.99  % Maximum clause weight is 31.000.
% 0.42/0.99  % Given clauses 72.
% 0.42/0.99  
% 0.42/0.99  2 p8(A,A) # label(p8_2) # label(negated_conjecture).  [assumption].
% 0.42/0.99  5 p3(A,A) # label(p3_5) # label(negated_conjecture).  [assumption].
% 0.42/0.99  10 p18(c26,c25) # label(p18_10) # label(negated_conjecture).  [assumption].
% 0.42/0.99  11 p3(c22,c23) # label(p3_11) # label(negated_conjecture).  [assumption].
% 0.42/0.99  12 p2(c24,c25) # label(p2_12) # label(negated_conjecture).  [assumption].
% 0.42/0.99  13 p3(c23,f4(c24,c20)) # label(p3_14) # label(negated_conjecture).  [assumption].
% 0.42/0.99  14 p16(f4(c19,c20),c21) # label(p16_15) # label(negated_conjecture).  [assumption].
% 0.42/0.99  15 -p16(c22,c21) # label(not_p16_13) # label(negated_conjecture).  [assumption].
% 0.42/0.99  20 p3(A,B) | -p3(C,A) | -p3(C,B) # label(p3_20) # label(negated_conjecture).  [assumption].
% 0.42/0.99  25 p16(f4(c25,A),B) | -p16(f4(f6(c27,c25),A),B) # label(p16_25) # label(negated_conjecture).  [assumption].
% 0.42/0.99  26 p16(A,B) | -p3(C,A) | -p8(D,B) | -p16(C,D) # label(p16_26) # label(negated_conjecture).  [assumption].
% 0.42/0.99  34 p16(f4(A,B),C) | -p2(A,D) | -p18(c26,D) | -p16(f4(c19,B),C) | -p16(f4(D,f13(f15(c28,A),D)),f9(f11(c29,A),D)) # label(p16_34) # label(negated_conjecture).  [assumption].
% 0.42/0.99  35 p16(f4(A,B),C) | p16(f4(f6(c27,D),f13(f15(c28,A),D)),f9(f11(c29,A),D)) | -p2(A,D) | -p18(c26,D) | -p16(f4(c19,B),C) # label(p16_35) # label(negated_conjecture).  [assumption].
% 0.42/0.99  42 p3(f4(c24,c20),A) | -p3(c23,A).  [resolve(20,b,13,a)].
% 0.42/0.99  43 p3(c23,A) | -p3(c22,A).  [resolve(20,b,11,a)].
% 0.42/0.99  68 p3(c23,c22).  [resolve(43,b,5,a)].
% 0.42/0.99  70 p3(f4(c24,c20),c22).  [resolve(68,a,42,b)].
% 0.42/0.99  82 -p16(f4(c24,c20),c21).  [ur(26,a,15,a,b,70,a,c,2,a)].
% 0.42/0.99  86 -p16(f4(c25,f13(f15(c28,c24),c25)),f9(f11(c29,c24),c25)).  [ur(34,a,82,a,b,12,a,c,10,a,d,14,a)].
% 0.42/0.99  104 -p16(f4(f6(c27,c25),f13(f15(c28,c24),c25)),f9(f11(c29,c24),c25)).  [ur(25,a,86,a)].
% 0.42/0.99  105 $F.  [ur(35,a,82,a,b,104,a,d,10,a,e,14,a),unit_del(a,12)].
% 0.42/0.99  
% 0.42/0.99  % SZS output end Refutation
% 0.42/0.99  ============================== end of proof ==========================
% 0.42/0.99  
% 0.42/0.99  ============================== STATISTICS ============================
% 0.42/0.99  
% 0.42/0.99  Given=72. Generated=222. Kept=104. proofs=1.
% 0.42/0.99  Usable=72. Sos=32. Demods=0. Limbo=0, Disabled=35. Hints=0.
% 0.42/0.99  Megabytes=0.17.
% 0.42/0.99  User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.42/0.99  
% 0.42/0.99  ============================== end of statistics =====================
% 0.42/0.99  
% 0.42/0.99  ============================== end of search =========================
% 0.42/0.99  
% 0.42/0.99  THEOREM PROVED
% 0.42/0.99  % SZS status Unsatisfiable
% 0.42/0.99  
% 0.42/0.99  Exiting with 1 proof.
% 0.42/0.99  
% 0.42/0.99  Process 27476 exit (max_proofs) Mon Jul 11 15:16:38 2022
% 0.42/0.99  Prover9 interrupted
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