TSTP Solution File: SWV245-2 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWV245-2 : TPTP v8.1.0. Released v3.2.0.
% 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 : Wed Jul 20 21:11:03 EDT 2022

% Result   : Unsatisfiable 0.45s 1.02s
% Output   : Refutation 0.45s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV245-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Thu Jun 16 00:02:59 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.45/1.02  ============================== Prover9 ===============================
% 0.45/1.02  Prover9 (32) version 2009-11A, November 2009.
% 0.45/1.02  Process 24247 was started by sandbox on n021.cluster.edu,
% 0.45/1.02  Thu Jun 16 00:03:00 2022
% 0.45/1.02  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_23928_n021.cluster.edu".
% 0.45/1.02  ============================== end of head ===========================
% 0.45/1.02  
% 0.45/1.02  ============================== INPUT =================================
% 0.45/1.02  
% 0.45/1.02  % Reading from file /tmp/Prover9_23928_n021.cluster.edu
% 0.45/1.02  
% 0.45/1.02  set(prolog_style_variables).
% 0.45/1.02  set(auto2).
% 0.45/1.02      % set(auto2) -> set(auto).
% 0.45/1.02      % set(auto) -> set(auto_inference).
% 0.45/1.02      % set(auto) -> set(auto_setup).
% 0.45/1.02      % set(auto_setup) -> set(predicate_elim).
% 0.45/1.02      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.45/1.02      % set(auto) -> set(auto_limits).
% 0.45/1.02      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.45/1.02      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.45/1.02      % set(auto) -> set(auto_denials).
% 0.45/1.02      % set(auto) -> set(auto_process).
% 0.45/1.02      % set(auto2) -> assign(new_constants, 1).
% 0.45/1.02      % set(auto2) -> assign(fold_denial_max, 3).
% 0.45/1.02      % set(auto2) -> assign(max_weight, "200.000").
% 0.45/1.02      % set(auto2) -> assign(max_hours, 1).
% 0.45/1.02      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.45/1.02      % set(auto2) -> assign(max_seconds, 0).
% 0.45/1.02      % set(auto2) -> assign(max_minutes, 5).
% 0.45/1.02      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.45/1.02      % set(auto2) -> set(sort_initial_sos).
% 0.45/1.02      % set(auto2) -> assign(sos_limit, -1).
% 0.45/1.02      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.45/1.02      % set(auto2) -> assign(max_megs, 400).
% 0.45/1.02      % set(auto2) -> assign(stats, some).
% 0.45/1.02      % set(auto2) -> clear(echo_input).
% 0.45/1.02      % set(auto2) -> set(quiet).
% 0.45/1.02      % set(auto2) -> clear(print_initial_clauses).
% 0.45/1.02      % set(auto2) -> clear(print_given).
% 0.45/1.02  assign(lrs_ticks,-1).
% 0.45/1.02  assign(sos_limit,10000).
% 0.45/1.02  assign(order,kbo).
% 0.45/1.02  set(lex_order_vars).
% 0.45/1.02  clear(print_given).
% 0.45/1.02  
% 0.45/1.02  % formulas(sos).  % not echoed (8 formulas)
% 0.45/1.02  
% 0.45/1.02  ============================== end of input ==========================
% 0.45/1.02  
% 0.45/1.02  % From the command line: assign(max_seconds, 300).
% 0.45/1.02  
% 0.45/1.02  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.45/1.02  
% 0.45/1.02  % Formulas that are not ordinary clauses:
% 0.45/1.02  
% 0.45/1.02  ============================== end of process non-clausal formulas ===
% 0.45/1.02  
% 0.45/1.02  ============================== PROCESS INITIAL CLAUSES ===============
% 0.45/1.02  
% 0.45/1.02  ============================== PREDICATE ELIMINATION =================
% 0.45/1.02  
% 0.45/1.02  ============================== end predicate elimination =============
% 0.45/1.02  
% 0.45/1.02  Auto_denials:  (non-Horn, no changes).
% 0.45/1.02  
% 0.45/1.02  Term ordering decisions:
% 0.45/1.02  Function symbol KB weights:  tc_Message_Omsg=1. v_G=1. v_H=1. v_X=1. v_Y=1. c_Message_Omsg_OMPair=1. c_Message_Oanalz=1. c_Message_Osynth=1. c_union=1.
% 0.45/1.02  
% 0.45/1.02  ============================== end of process initial clauses ========
% 0.45/1.02  
% 0.45/1.02  ============================== CLAUSES FOR SEARCH ====================
% 0.45/1.02  
% 0.45/1.02  ============================== end of clauses for search =============
% 0.45/1.02  
% 0.45/1.02  ============================== SEARCH ================================
% 0.45/1.02  
% 0.45/1.02  % Starting search at 0.01 seconds.
% 0.45/1.02  
% 0.45/1.02  ============================== PROOF =================================
% 0.45/1.02  % SZS status Unsatisfiable
% 0.45/1.02  % SZS output start Refutation
% 0.45/1.02  
% 0.45/1.02  % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.45/1.02  % Length of proof is 17.
% 0.45/1.02  % Level of proof is 6.
% 0.45/1.02  % Maximum clause weight is 18.000.
% 0.45/1.02  % Given clauses 39.
% 0.45/1.02  
% 0.45/1.02  1 c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg) # label(cls_conjecture_1) # label(negated_conjecture).  [assumption].
% 0.45/1.02  2 -c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg) # label(cls_conjecture_2) # label(negated_conjecture).  [assumption].
% 0.45/1.02  3 -c_in(A,B,tc_Message_Omsg) | c_in(A,c_Message_Oanalz(B),tc_Message_Omsg) # label(cls_Message_Oanalz_OInj_0) # label(axiom).  [assumption].
% 0.45/1.02  4 -c_in(A,B,C) | c_in(A,c_union(D,B,C),C) # label(cls_Set_OUnCI_0) # label(axiom).  [assumption].
% 0.45/1.02  5 -c_in(A,B,C) | c_in(A,c_union(B,D,C),C) # label(cls_Set_OUnCI_1) # label(axiom).  [assumption].
% 0.45/1.02  6 -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oanalz(C),tc_Message_Omsg) | c_in(A,c_Message_Oanalz(C),tc_Message_Omsg) # label(cls_Message_OMPair__analz_1) # label(axiom).  [assumption].
% 0.45/1.02  7 -c_in(A,c_union(B,C,D),D) | c_in(A,C,D) | c_in(A,B,D) # label(cls_Set_OUnE_0) # label(axiom).  [assumption].
% 0.45/1.02  8 -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Osynth(C),tc_Message_Omsg) | c_in(A,c_Message_Osynth(C),tc_Message_Omsg) | c_in(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg) # label(cls_Message_OMPair__synth_1) # label(axiom).  [assumption].
% 0.45/1.02  12 -c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg).  [ur(4,b,2,a)].
% 0.45/1.02  14 -c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg).  [ur(5,b,2,a)].
% 0.45/1.02  15 c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg) | c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg).  [resolve(7,a,1,a)].
% 0.45/1.02  28 -c_in(c_Message_Omsg_OMPair(v_X,A),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg).  [ur(6,b,14,a)].
% 0.45/1.02  30 c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg).  [back_unit_del(15),unit_del(b,28)].
% 0.45/1.02  49 c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg).  [resolve(30,a,8,a),unit_del(a,12)].
% 0.45/1.02  53 c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(v_G,A,tc_Message_Omsg),tc_Message_Omsg).  [resolve(49,a,5,a)].
% 0.45/1.02  295 -c_in(c_Message_Omsg_OMPair(v_X,A),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg).  [ur(3,b,28,a)].
% 0.45/1.02  296 $F.  [resolve(295,a,53,a)].
% 0.45/1.02  
% 0.45/1.02  % SZS output end Refutation
% 0.45/1.02  ============================== end of proof ==========================
% 0.45/1.02  
% 0.45/1.02  ============================== STATISTICS ============================
% 0.45/1.02  
% 0.45/1.02  Given=39. Generated=355. Kept=295. proofs=1.
% 0.45/1.02  Usable=38. Sos=252. Demods=0. Limbo=2, Disabled=10. Hints=0.
% 0.45/1.02  Megabytes=0.30.
% 0.45/1.02  User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.45/1.02  
% 0.45/1.02  ============================== end of statistics =====================
% 0.45/1.02  
% 0.45/1.02  ============================== end of search =========================
% 0.45/1.02  
% 0.45/1.02  THEOREM PROVED
% 0.45/1.02  % SZS status Unsatisfiable
% 0.45/1.02  
% 0.45/1.02  Exiting with 1 proof.
% 0.45/1.02  
% 0.45/1.02  Process 24247 exit (max_proofs) Thu Jun 16 00:03:00 2022
% 0.45/1.02  Prover9 interrupted
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