TSTP Solution File: SYN619-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYN619-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n021.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 11:21:27 EDT 2022

% Result   : Unsatisfiable 0.67s 0.99s
% Output   : Refutation 0.67s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN619-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.33  % Computer : n021.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jul 12 06:33:54 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.67/0.98  ============================== Prover9 ===============================
% 0.67/0.98  Prover9 (32) version 2009-11A, November 2009.
% 0.67/0.98  Process 27986 was started by sandbox2 on n021.cluster.edu,
% 0.67/0.98  Tue Jul 12 06:33:54 2022
% 0.67/0.98  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_27833_n021.cluster.edu".
% 0.67/0.98  ============================== end of head ===========================
% 0.67/0.98  
% 0.67/0.98  ============================== INPUT =================================
% 0.67/0.98  
% 0.67/0.98  % Reading from file /tmp/Prover9_27833_n021.cluster.edu
% 0.67/0.98  
% 0.67/0.98  set(prolog_style_variables).
% 0.67/0.98  set(auto2).
% 0.67/0.98      % set(auto2) -> set(auto).
% 0.67/0.98      % set(auto) -> set(auto_inference).
% 0.67/0.98      % set(auto) -> set(auto_setup).
% 0.67/0.98      % set(auto_setup) -> set(predicate_elim).
% 0.67/0.98      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.67/0.98      % set(auto) -> set(auto_limits).
% 0.67/0.98      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.67/0.98      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.67/0.98      % set(auto) -> set(auto_denials).
% 0.67/0.98      % set(auto) -> set(auto_process).
% 0.67/0.98      % set(auto2) -> assign(new_constants, 1).
% 0.67/0.99      % set(auto2) -> assign(fold_denial_max, 3).
% 0.67/0.99      % set(auto2) -> assign(max_weight, "200.000").
% 0.67/0.99      % set(auto2) -> assign(max_hours, 1).
% 0.67/0.99      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.67/0.99      % set(auto2) -> assign(max_seconds, 0).
% 0.67/0.99      % set(auto2) -> assign(max_minutes, 5).
% 0.67/0.99      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.67/0.99      % set(auto2) -> set(sort_initial_sos).
% 0.67/0.99      % set(auto2) -> assign(sos_limit, -1).
% 0.67/0.99      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.67/0.99      % set(auto2) -> assign(max_megs, 400).
% 0.67/0.99      % set(auto2) -> assign(stats, some).
% 0.67/0.99      % set(auto2) -> clear(echo_input).
% 0.67/0.99      % set(auto2) -> set(quiet).
% 0.67/0.99      % set(auto2) -> clear(print_initial_clauses).
% 0.67/0.99      % set(auto2) -> clear(print_given).
% 0.67/0.99  assign(lrs_ticks,-1).
% 0.67/0.99  assign(sos_limit,10000).
% 0.67/0.99  assign(order,kbo).
% 0.67/0.99  set(lex_order_vars).
% 0.67/0.99  clear(print_given).
% 0.67/0.99  
% 0.67/0.99  % formulas(sos).  % not echoed (34 formulas)
% 0.67/0.99  
% 0.67/0.99  ============================== end of input ==========================
% 0.67/0.99  
% 0.67/0.99  % From the command line: assign(max_seconds, 300).
% 0.67/0.99  
% 0.67/0.99  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.67/0.99  
% 0.67/0.99  % Formulas that are not ordinary clauses:
% 0.67/0.99  
% 0.67/0.99  ============================== end of process non-clausal formulas ===
% 0.67/0.99  
% 0.67/0.99  ============================== PROCESS INITIAL CLAUSES ===============
% 0.67/0.99  
% 0.67/0.99  ============================== PREDICATE ELIMINATION =================
% 0.67/0.99  
% 0.67/0.99  ============================== end predicate elimination =============
% 0.67/0.99  
% 0.67/0.99  Auto_denials:  (non-Horn, no changes).
% 0.67/0.99  
% 0.67/0.99  Term ordering decisions:
% 0.67/0.99  Function symbol KB weights:  c19=1. c25=1. c20=1. c21=1. c22=1. c23=1. c24=1. f13=1. f7=1. f9=1. f6=1. f14=1. f15=1. f3=1. f11=1. f12=1. f16=1.
% 0.67/0.99  
% 0.67/0.99  ============================== end of process initial clauses ========
% 0.67/0.99  
% 0.67/0.99  ============================== CLAUSES FOR SEARCH ====================
% 0.67/0.99  
% 0.67/0.99  ============================== end of clauses for search =============
% 0.67/0.99  
% 0.67/0.99  ============================== SEARCH ================================
% 0.67/0.99  
% 0.67/0.99  % Starting search at 0.01 seconds.
% 0.67/0.99  
% 0.67/0.99  ============================== PROOF =================================
% 0.67/0.99  % SZS status Unsatisfiable
% 0.67/0.99  % SZS output start Refutation
% 0.67/0.99  
% 0.67/0.99  % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.67/0.99  % Length of proof is 21.
% 0.67/0.99  % Level of proof is 6.
% 0.67/0.99  % Maximum clause weight is 21.000.
% 0.67/0.99  % Given clauses 44.
% 0.67/0.99  
% 0.67/0.99  5 p2(A,A) # label(p2_5) # label(negated_conjecture).  [assumption].
% 0.67/0.99  6 p17(A,A) # label(p17_6) # label(negated_conjecture).  [assumption].
% 0.67/0.99  7 p18(c24,f6(c25)) # label(p18_7) # label(negated_conjecture).  [assumption].
% 0.67/0.99  8 -p18(c24,f6(f7(c22,c23))) # label(not_p18_8) # label(negated_conjecture).  [assumption].
% 0.67/0.99  9 -p2(A,c20) | -p17(c21,B) | -p8(c24,f9(f13(A,B),C)) # label(not_p2_32) # label(negated_conjecture).  [assumption].
% 0.67/0.99  10 p17(A,B) | -p17(f3(A),B) # label(p17_9) # label(negated_conjecture).  [assumption].
% 0.67/0.99  25 p18(A,f6(c19)) | p2(f14(A),c20) | -p18(A,f6(c25)) # label(p18_24) # label(negated_conjecture).  [assumption].
% 0.67/0.99  28 p18(A,f6(c19)) | p17(f3(c21),f15(A)) | -p18(A,f6(c25)) # label(p18_27) # label(negated_conjecture).  [assumption].
% 0.67/0.99  32 p18(A,f6(c19)) | p8(A,f9(f13(f14(A),f15(A)),f16(A))) | -p18(A,f6(c25)) # label(p18_33) # label(negated_conjecture).  [assumption].
% 0.67/0.99  33 p18(A,f6(f7(c22,c23))) | p8(A,f9(f13(c20,c21),f11(f12(f7(c22,c23))))) | -p18(A,f6(c19)) # label(p18_34) # label(negated_conjecture).  [assumption].
% 0.67/0.99  37 -p8(c24,f9(f13(c20,c21),A)).  [ur(9,a,5,a,b,6,a)].
% 0.67/0.99  44 p18(c24,f6(c19)) | p2(f14(c24),c20).  [resolve(25,c,7,a)].
% 0.67/0.99  48 p18(c24,f6(c19)) | p17(f3(c21),f15(c24)).  [resolve(28,c,7,a)].
% 0.67/0.99  54 p18(c24,f6(c19)) | p8(c24,f9(f13(f14(c24),f15(c24)),f16(c24))).  [resolve(32,c,7,a)].
% 0.67/0.99  55 -p18(c24,f6(c19)).  [ur(33,a,8,a,b,37,a)].
% 0.67/0.99  57 p8(c24,f9(f13(f14(c24),f15(c24)),f16(c24))).  [back_unit_del(54),unit_del(a,55)].
% 0.67/0.99  58 p17(f3(c21),f15(c24)).  [back_unit_del(48),unit_del(a,55)].
% 0.67/0.99  59 p2(f14(c24),c20).  [back_unit_del(44),unit_del(a,55)].
% 0.67/0.99  80 p17(c21,f15(c24)).  [resolve(58,a,10,b)].
% 0.67/0.99  83 -p8(c24,f9(f13(f14(c24),f15(c24)),A)).  [ur(9,a,59,a,b,80,a)].
% 0.67/0.99  84 $F.  [resolve(83,a,57,a)].
% 0.67/0.99  
% 0.67/0.99  % SZS output end Refutation
% 0.67/0.99  ============================== end of proof ==========================
% 0.67/0.99  
% 0.67/0.99  ============================== STATISTICS ============================
% 0.67/0.99  
% 0.67/0.99  Given=44. Generated=114. Kept=83. proofs=1.
% 0.67/0.99  Usable=44. Sos=33. Demods=0. Limbo=2, Disabled=37. Hints=0.
% 0.67/0.99  Megabytes=0.13.
% 0.67/0.99  User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.67/0.99  
% 0.67/0.99  ============================== end of statistics =====================
% 0.67/0.99  
% 0.67/0.99  ============================== end of search =========================
% 0.67/0.99  
% 0.67/0.99  THEOREM PROVED
% 0.67/0.99  % SZS status Unsatisfiable
% 0.67/0.99  
% 0.67/0.99  Exiting with 1 proof.
% 0.67/0.99  
% 0.67/0.99  Process 27986 exit (max_proofs) Tue Jul 12 06:33:54 2022
% 0.67/0.99  Prover9 interrupted
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