TSTP Solution File: LCL186-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : LCL186-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n008.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 : Sun Jul 17 13:44:41 EDT 2022

% Result   : Unsatisfiable 0.68s 0.99s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL186-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jul  3 13:56:53 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.68/0.98  ============================== Prover9 ===============================
% 0.68/0.98  Prover9 (32) version 2009-11A, November 2009.
% 0.68/0.98  Process 9167 was started by sandbox on n008.cluster.edu,
% 0.68/0.98  Sun Jul  3 13:56:53 2022
% 0.68/0.98  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_9013_n008.cluster.edu".
% 0.68/0.98  ============================== end of head ===========================
% 0.68/0.98  
% 0.68/0.98  ============================== INPUT =================================
% 0.68/0.98  
% 0.68/0.98  % Reading from file /tmp/Prover9_9013_n008.cluster.edu
% 0.68/0.98  
% 0.68/0.98  set(prolog_style_variables).
% 0.68/0.98  set(auto2).
% 0.68/0.98      % set(auto2) -> set(auto).
% 0.68/0.98      % set(auto) -> set(auto_inference).
% 0.68/0.98      % set(auto) -> set(auto_setup).
% 0.68/0.98      % set(auto_setup) -> set(predicate_elim).
% 0.68/0.98      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.68/0.98      % set(auto) -> set(auto_limits).
% 0.68/0.98      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.68/0.98      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.68/0.98      % set(auto) -> set(auto_denials).
% 0.68/0.98      % set(auto) -> set(auto_process).
% 0.68/0.98      % set(auto2) -> assign(new_constants, 1).
% 0.68/0.98      % set(auto2) -> assign(fold_denial_max, 3).
% 0.68/0.98      % set(auto2) -> assign(max_weight, "200.000").
% 0.68/0.98      % set(auto2) -> assign(max_hours, 1).
% 0.68/0.98      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.68/0.98      % set(auto2) -> assign(max_seconds, 0).
% 0.68/0.98      % set(auto2) -> assign(max_minutes, 5).
% 0.68/0.98      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.68/0.98      % set(auto2) -> set(sort_initial_sos).
% 0.68/0.98      % set(auto2) -> assign(sos_limit, -1).
% 0.68/0.98      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.68/0.98      % set(auto2) -> assign(max_megs, 400).
% 0.68/0.98      % set(auto2) -> assign(stats, some).
% 0.68/0.98      % set(auto2) -> clear(echo_input).
% 0.68/0.98      % set(auto2) -> set(quiet).
% 0.68/0.98      % set(auto2) -> clear(print_initial_clauses).
% 0.68/0.98      % set(auto2) -> clear(print_given).
% 0.68/0.98  assign(lrs_ticks,-1).
% 0.68/0.98  assign(sos_limit,10000).
% 0.68/0.98  assign(order,kbo).
% 0.68/0.98  set(lex_order_vars).
% 0.68/0.98  clear(print_given).
% 0.68/0.98  
% 0.68/0.98  % formulas(sos).  % not echoed (9 formulas)
% 0.68/0.98  
% 0.68/0.98  ============================== end of input ==========================
% 0.68/0.98  
% 0.68/0.98  % From the command line: assign(max_seconds, 300).
% 0.68/0.98  
% 0.68/0.98  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.68/0.98  
% 0.68/0.98  % Formulas that are not ordinary clauses:
% 0.68/0.98  
% 0.68/0.98  ============================== end of process non-clausal formulas ===
% 0.68/0.98  
% 0.68/0.98  ============================== PROCESS INITIAL CLAUSES ===============
% 0.68/0.98  
% 0.68/0.98  ============================== PREDICATE ELIMINATION =================
% 0.68/0.98  1 theorem(A) | -axiom(A) # label(rule_1) # label(axiom).  [assumption].
% 0.68/0.98  2 axiom(or(not(or(A,A)),A)) # label(axiom_1_2) # label(axiom).  [assumption].
% 0.68/0.98  3 axiom(or(not(A),or(B,A))) # label(axiom_1_3) # label(axiom).  [assumption].
% 0.68/0.98  4 axiom(or(not(or(A,B)),or(B,A))) # label(axiom_1_4) # label(axiom).  [assumption].
% 0.68/0.98  5 axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) # label(axiom_1_5) # label(axiom).  [assumption].
% 0.68/0.98  6 axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) # label(axiom_1_6) # label(axiom).  [assumption].
% 0.68/0.98  Derived: theorem(or(not(or(A,A)),A)).  [resolve(1,b,2,a)].
% 0.68/0.98  Derived: theorem(or(not(A),or(B,A))).  [resolve(1,b,3,a)].
% 0.68/0.98  Derived: theorem(or(not(or(A,B)),or(B,A))).  [resolve(1,b,4,a)].
% 0.68/0.98  Derived: theorem(or(not(or(A,or(B,C))),or(B,or(A,C)))).  [resolve(1,b,5,a)].
% 0.68/0.98  Derived: theorem(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))).  [resolve(1,b,6,a)].
% 0.68/0.98  7 theorem(A) | -axiom(or(not(B),A)) | -theorem(B) # label(rule_2) # label(axiom).  [assumption].
% 0.68/0.98  Derived: theorem(A) | -theorem(or(A,A)).  [resolve(7,b,2,a)].
% 0.68/0.98  Derived: theorem(or(A,B)) | -theorem(B).  [resolve(7,b,3,a)].
% 0.68/0.98  Derived: theorem(or(A,B)) | -theorem(or(B,A)).  [resolve(7,b,4,a)].
% 0.68/0.98  Derived: theorem(or(A,or(B,C))) | -theorem(or(B,or(A,C))).  [resolve(7,b,5,a)].
% 0.68/0.98  Derived: theorem(or(not(or(A,B)),or(A,C))) | -theorem(or(not(B),C)).  [resolve(7,b,6,a)].
% 0.68/0.98  8 theorem(or(not(A),B)) | -axiom(or(not(A),C)) | -theorem(or(not(C),B)) # label(rule_3) # label(axiom).  [assumption].
% 0.68/0.98  Derived: theorem(or(not(or(A,A)),B)) | -theorem(or(not(A),B)).  [resolve(8,b,2,a)].
% 0.68/0.98  Derived: theorem(or(not(A),B)) | -theorem(or(not(or(C,A)),B)).  [resolve(8,b,3,a)].
% 0.68/0.98  Derived: theorem(or(not(or(A,B)),C)) | -theorem(or(not(or(B,A)),C)).  [resolve(8,b,4,a)].
% 0.68/0.98  Derived: theorem(or(not(or(A,or(B,C))),D)) | -theorem(or(not(or(B,or(A,C))),D)).  [resolve(8,b,5,a)].
% 0.68/0.99  Derived: theorem(or(not(or(not(A),B)),C)) | -theorem(or(not(or(not(or(D,A)),or(D,B))),C)).  [resolve(8,b,6,a)].
% 0.68/0.99  
% 0.68/0.99  ============================== end predicate elimination =============
% 0.68/0.99  
% 0.68/0.99  Auto_denials:
% 0.68/0.99    % copying label prove_this to answer in negative clause
% 0.68/0.99  
% 0.68/0.99  Term ordering decisions:
% 0.68/0.99  
% 0.68/0.99  % Assigning unary symbol not kb_weight 0 and highest precedence (5).
% 0.68/0.99  Function symbol KB weights:  p=1. q=1. or=1. not=0.
% 0.68/0.99  
% 0.68/0.99  ============================== end of process initial clauses ========
% 0.68/0.99  
% 0.68/0.99  ============================== CLAUSES FOR SEARCH ====================
% 0.68/0.99  
% 0.68/0.99  ============================== end of clauses for search =============
% 0.68/0.99  
% 0.68/0.99  ============================== SEARCH ================================
% 0.68/0.99  
% 0.68/0.99  % Starting search at 0.01 seconds.
% 0.68/0.99  
% 0.68/0.99  ============================== PROOF =================================
% 0.68/0.99  % SZS status Unsatisfiable
% 0.68/0.99  % SZS output start Refutation
% 0.68/0.99  
% 0.68/0.99  % Proof 1 at 0.01 (+ 0.00) seconds: prove_this.
% 0.68/0.99  % Length of proof is 9.
% 0.68/0.99  % Level of proof is 3.
% 0.68/0.99  % Maximum clause weight is 12.000.
% 0.68/0.99  % Given clauses 13.
% 0.68/0.99  
% 0.68/0.99  1 theorem(A) | -axiom(A) # label(rule_1) # label(axiom).  [assumption].
% 0.68/0.99  3 axiom(or(not(A),or(B,A))) # label(axiom_1_3) # label(axiom).  [assumption].
% 0.68/0.99  4 axiom(or(not(or(A,B)),or(B,A))) # label(axiom_1_4) # label(axiom).  [assumption].
% 0.68/0.99  8 theorem(or(not(A),B)) | -axiom(or(not(A),C)) | -theorem(or(not(C),B)) # label(rule_3) # label(axiom).  [assumption].
% 0.68/0.99  9 -theorem(or(not(not(p)),or(not(p),q))) # label(prove_this) # label(negated_conjecture) # answer(prove_this).  [assumption].
% 0.68/0.99  12 theorem(or(not(or(A,B)),or(B,A))).  [resolve(1,b,4,a)].
% 0.68/0.99  21 theorem(or(not(A),B)) | -theorem(or(not(or(C,A)),B)).  [resolve(8,b,3,a)].
% 0.68/0.99  54 -theorem(or(not(or(A,not(p))),or(not(p),q))) # answer(prove_this).  [resolve(21,a,9,a)].
% 0.68/0.99  55 $F # answer(prove_this).  [resolve(54,a,12,a)].
% 0.68/0.99  
% 0.68/0.99  % SZS output end Refutation
% 0.68/0.99  ============================== end of proof ==========================
% 0.68/0.99  
% 0.68/0.99  ============================== STATISTICS ============================
% 0.68/0.99  
% 0.68/0.99  Given=13. Generated=50. Kept=46. proofs=1.
% 0.68/0.99  Usable=13. Sos=32. Demods=0. Limbo=0, Disabled=24. Hints=0.
% 0.68/0.99  Megabytes=0.07.
% 0.68/0.99  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.68/0.99  
% 0.68/0.99  ============================== end of statistics =====================
% 0.68/0.99  
% 0.68/0.99  ============================== end of search =========================
% 0.68/0.99  
% 0.68/0.99  THEOREM PROVED
% 0.68/0.99  % SZS status Unsatisfiable
% 0.68/0.99  
% 0.68/0.99  Exiting with 1 proof.
% 0.68/0.99  
% 0.68/0.99  Process 9167 exit (max_proofs) Sun Jul  3 13:56:53 2022
% 0.68/0.99  Prover9 interrupted
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