TSTP Solution File: SYN565-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYN565-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n029.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 11:21:07 EDT 2022

% Result   : Unsatisfiable 0.70s 1.02s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN565-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n029.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 19:50:17 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.70/1.02  ============================== Prover9 ===============================
% 0.70/1.02  Prover9 (32) version 2009-11A, November 2009.
% 0.70/1.02  Process 18686 was started by sandbox on n029.cluster.edu,
% 0.70/1.02  Mon Jul 11 19:50:18 2022
% 0.70/1.02  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_18323_n029.cluster.edu".
% 0.70/1.02  ============================== end of head ===========================
% 0.70/1.02  
% 0.70/1.02  ============================== INPUT =================================
% 0.70/1.02  
% 0.70/1.02  % Reading from file /tmp/Prover9_18323_n029.cluster.edu
% 0.70/1.02  
% 0.70/1.02  set(prolog_style_variables).
% 0.70/1.02  set(auto2).
% 0.70/1.02      % set(auto2) -> set(auto).
% 0.70/1.02      % set(auto) -> set(auto_inference).
% 0.70/1.02      % set(auto) -> set(auto_setup).
% 0.70/1.02      % set(auto_setup) -> set(predicate_elim).
% 0.70/1.02      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.70/1.02      % set(auto) -> set(auto_limits).
% 0.70/1.02      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.70/1.02      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.70/1.02      % set(auto) -> set(auto_denials).
% 0.70/1.02      % set(auto) -> set(auto_process).
% 0.70/1.02      % set(auto2) -> assign(new_constants, 1).
% 0.70/1.02      % set(auto2) -> assign(fold_denial_max, 3).
% 0.70/1.02      % set(auto2) -> assign(max_weight, "200.000").
% 0.70/1.02      % set(auto2) -> assign(max_hours, 1).
% 0.70/1.02      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.70/1.02      % set(auto2) -> assign(max_seconds, 0).
% 0.70/1.02      % set(auto2) -> assign(max_minutes, 5).
% 0.70/1.02      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.70/1.02      % set(auto2) -> set(sort_initial_sos).
% 0.70/1.02      % set(auto2) -> assign(sos_limit, -1).
% 0.70/1.02      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.70/1.02      % set(auto2) -> assign(max_megs, 400).
% 0.70/1.02      % set(auto2) -> assign(stats, some).
% 0.70/1.02      % set(auto2) -> clear(echo_input).
% 0.70/1.02      % set(auto2) -> set(quiet).
% 0.70/1.02      % set(auto2) -> clear(print_initial_clauses).
% 0.70/1.02      % set(auto2) -> clear(print_given).
% 0.70/1.02  assign(lrs_ticks,-1).
% 0.70/1.02  assign(sos_limit,10000).
% 0.70/1.02  assign(order,kbo).
% 0.70/1.02  set(lex_order_vars).
% 0.70/1.02  clear(print_given).
% 0.70/1.02  
% 0.70/1.02  % formulas(sos).  % not echoed (18 formulas)
% 0.70/1.02  
% 0.70/1.02  ============================== end of input ==========================
% 0.70/1.02  
% 0.70/1.02  % From the command line: assign(max_seconds, 300).
% 0.70/1.02  
% 0.70/1.02  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.70/1.02  
% 0.70/1.02  % Formulas that are not ordinary clauses:
% 0.70/1.02  
% 0.70/1.02  ============================== end of process non-clausal formulas ===
% 0.70/1.02  
% 0.70/1.02  ============================== PROCESS INITIAL CLAUSES ===============
% 0.70/1.02  
% 0.70/1.02  ============================== PREDICATE ELIMINATION =================
% 0.70/1.02  
% 0.70/1.02  ============================== end predicate elimination =============
% 0.70/1.02  
% 0.70/1.02  Auto_denials:
% 0.70/1.02    % copying label not_p10_11 to answer in negative clause
% 0.70/1.02  
% 0.70/1.02  Term ordering decisions:
% 0.70/1.02  Function symbol KB weights:  c11=1. c12=1. f3=1. f8=1. f6=1. f9=1. f5=1. f7=1.
% 0.70/1.02  
% 0.70/1.02  ============================== end of process initial clauses ========
% 0.70/1.02  
% 0.70/1.02  ============================== CLAUSES FOR SEARCH ====================
% 0.70/1.02  
% 0.70/1.02  ============================== end of clauses for search =============
% 0.70/1.02  
% 0.70/1.02  ============================== SEARCH ================================
% 0.70/1.02  
% 0.70/1.02  % Starting search at 0.01 seconds.
% 0.70/1.02  
% 0.70/1.02  ============================== PROOF =================================
% 0.70/1.02  % SZS status Unsatisfiable
% 0.70/1.02  % SZS output start Refutation
% 0.70/1.02  
% 0.70/1.02  % Proof 1 at 0.06 (+ 0.01) seconds: not_p10_11.
% 0.70/1.02  % Length of proof is 20.
% 0.70/1.02  % Level of proof is 4.
% 0.70/1.02  % Maximum clause weight is 16.000.
% 0.70/1.02  % Given clauses 62.
% 0.70/1.02  
% 0.70/1.02  1 p2(A,A) # label(p2_1) # label(negated_conjecture).  [assumption].
% 0.70/1.02  3 p2(f5(f7(A)),f5(A)) # label(p2_3) # label(negated_conjecture).  [assumption].
% 0.70/1.02  4 p4(f8(A,B),f6(A,f7(B))) # label(p4_4) # label(negated_conjecture).  [assumption].
% 0.70/1.02  5 p4(f7(f8(A,B)),f8(B,A)) # label(p4_5) # label(negated_conjecture).  [assumption].
% 0.70/1.02  6 p10(f5(A),f3(f5(f6(A,B)),f5(B))) # label(p10_10) # label(negated_conjecture).  [assumption].
% 0.70/1.02  7 -p10(f9(f5(c11),f5(c12)),f5(f8(c12,c11))) # label(not_p10_11) # label(negated_conjecture) # answer(not_p10_11).  [assumption].
% 0.70/1.02  8 p2(f5(A),f5(B)) | -p4(A,B) # label(p2_6) # label(negated_conjecture).  [assumption].
% 0.70/1.02  10 p2(A,B) | -p2(C,A) | -p2(C,B) # label(p2_8) # label(negated_conjecture).  [assumption].
% 0.70/1.02  13 p10(f9(A,B),C) | -p10(A,f3(C,B)) # label(p10_13) # label(negated_conjecture).  [assumption].
% 0.70/1.02  14 p10(A,B) | -p2(C,A) | -p2(D,B) | -p10(C,D) # label(p10_14) # label(negated_conjecture).  [assumption].
% 0.70/1.02  17 p2(f9(A,B),f9(C,D)) | -p2(A,C) | -p2(B,D) # label(p2_17) # label(negated_conjecture).  [assumption].
% 0.70/1.02  19 p2(f5(f7(f8(A,B))),f5(f8(B,A))).  [ur(8,b,5,a)].
% 0.70/1.02  20 p2(f5(f8(A,B)),f5(f6(A,f7(B)))).  [ur(8,b,4,a)].
% 0.70/1.02  27 p10(f9(f5(A),f5(B)),f5(f6(A,B))).  [ur(13,b,6,a)].
% 0.70/1.02  28 -p2(A,f9(f5(c11),f5(c12))) | -p2(B,f5(f8(c12,c11))) | -p10(A,B) # answer(not_p10_11).  [resolve(14,a,7,a)].
% 0.70/1.02  44 p2(f9(A,f5(f7(B))),f9(A,f5(B))).  [ur(17,b,1,a,c,3,a)].
% 0.70/1.02  64 p2(f5(f8(A,B)),f5(f8(B,A))).  [ur(10,b,3,a,c,19,a)].
% 0.70/1.02  364 p2(f5(f6(A,f7(B))),f5(f8(B,A))).  [ur(10,b,20,a,c,64,a)].
% 0.70/1.02  1067 -p2(f5(f6(c11,f7(c12))),f5(f8(c12,c11))) # answer(not_p10_11).  [ur(28,a,44,a,c,27,a)].
% 0.70/1.02  1068 $F # answer(not_p10_11).  [resolve(1067,a,364,a)].
% 0.70/1.02  
% 0.70/1.02  % SZS output end Refutation
% 0.70/1.02  ============================== end of proof ==========================
% 0.70/1.02  
% 0.70/1.02  ============================== STATISTICS ============================
% 0.70/1.02  
% 0.70/1.02  Given=62. Generated=1533. Kept=1067. proofs=1.
% 0.70/1.02  Usable=62. Sos=935. Demods=0. Limbo=68, Disabled=19. Hints=0.
% 0.70/1.02  Megabytes=0.88.
% 0.70/1.02  User_CPU=0.06, System_CPU=0.01, Wall_clock=0.
% 0.70/1.02  
% 0.70/1.02  ============================== end of statistics =====================
% 0.70/1.02  
% 0.70/1.02  ============================== end of search =========================
% 0.70/1.02  
% 0.70/1.02  THEOREM PROVED
% 0.70/1.02  % SZS status Unsatisfiable
% 0.70/1.02  
% 0.70/1.02  Exiting with 1 proof.
% 0.70/1.02  
% 0.70/1.02  Process 18686 exit (max_proofs) Mon Jul 11 19:50:18 2022
% 0.70/1.02  Prover9 interrupted
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