TSTP Solution File: LCL215-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : LCL215-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n020.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 13:45:02 EDT 2022

% Result   : Unsatisfiable 0.80s 1.14s
% Output   : Refutation 0.80s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : LCL215-1 : TPTP v8.1.0. Released v1.1.0.
% 0.04/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % 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 : Mon Jul  4 18:47:29 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.74/1.03  ============================== Prover9 ===============================
% 0.74/1.03  Prover9 (32) version 2009-11A, November 2009.
% 0.74/1.03  Process 1669 was started by sandbox on n020.cluster.edu,
% 0.74/1.03  Mon Jul  4 18:47:30 2022
% 0.74/1.03  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_1513_n020.cluster.edu".
% 0.74/1.03  ============================== end of head ===========================
% 0.74/1.03  
% 0.74/1.03  ============================== INPUT =================================
% 0.74/1.03  
% 0.74/1.03  % Reading from file /tmp/Prover9_1513_n020.cluster.edu
% 0.74/1.03  
% 0.74/1.03  set(prolog_style_variables).
% 0.74/1.03  set(auto2).
% 0.74/1.03      % set(auto2) -> set(auto).
% 0.74/1.03      % set(auto) -> set(auto_inference).
% 0.74/1.03      % set(auto) -> set(auto_setup).
% 0.74/1.03      % set(auto_setup) -> set(predicate_elim).
% 0.74/1.03      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.74/1.03      % set(auto) -> set(auto_limits).
% 0.74/1.03      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.74/1.03      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.74/1.03      % set(auto) -> set(auto_denials).
% 0.74/1.03      % set(auto) -> set(auto_process).
% 0.74/1.03      % set(auto2) -> assign(new_constants, 1).
% 0.74/1.03      % set(auto2) -> assign(fold_denial_max, 3).
% 0.74/1.03      % set(auto2) -> assign(max_weight, "200.000").
% 0.74/1.03      % set(auto2) -> assign(max_hours, 1).
% 0.74/1.03      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.74/1.03      % set(auto2) -> assign(max_seconds, 0).
% 0.74/1.03      % set(auto2) -> assign(max_minutes, 5).
% 0.74/1.03      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.74/1.03      % set(auto2) -> set(sort_initial_sos).
% 0.74/1.03      % set(auto2) -> assign(sos_limit, -1).
% 0.74/1.03      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.74/1.03      % set(auto2) -> assign(max_megs, 400).
% 0.74/1.03      % set(auto2) -> assign(stats, some).
% 0.74/1.03      % set(auto2) -> clear(echo_input).
% 0.74/1.03      % set(auto2) -> set(quiet).
% 0.74/1.03      % set(auto2) -> clear(print_initial_clauses).
% 0.74/1.03      % set(auto2) -> clear(print_given).
% 0.74/1.03  assign(lrs_ticks,-1).
% 0.74/1.03  assign(sos_limit,10000).
% 0.74/1.03  assign(order,kbo).
% 0.74/1.03  set(lex_order_vars).
% 0.74/1.03  clear(print_given).
% 0.74/1.03  
% 0.74/1.03  % formulas(sos).  % not echoed (9 formulas)
% 0.74/1.03  
% 0.74/1.03  ============================== end of input ==========================
% 0.74/1.03  
% 0.74/1.03  % From the command line: assign(max_seconds, 300).
% 0.74/1.03  
% 0.74/1.03  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.74/1.03  
% 0.74/1.03  % Formulas that are not ordinary clauses:
% 0.74/1.03  
% 0.74/1.03  ============================== end of process non-clausal formulas ===
% 0.74/1.03  
% 0.74/1.03  ============================== PROCESS INITIAL CLAUSES ===============
% 0.74/1.03  
% 0.74/1.03  ============================== PREDICATE ELIMINATION =================
% 0.74/1.03  1 theorem(A) | -axiom(A) # label(rule_1) # label(axiom).  [assumption].
% 0.74/1.03  2 axiom(or(not(or(A,A)),A)) # label(axiom_1_2) # label(axiom).  [assumption].
% 0.74/1.03  3 axiom(or(not(A),or(B,A))) # label(axiom_1_3) # label(axiom).  [assumption].
% 0.74/1.03  4 axiom(or(not(or(A,B)),or(B,A))) # label(axiom_1_4) # label(axiom).  [assumption].
% 0.74/1.03  5 axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) # label(axiom_1_5) # label(axiom).  [assumption].
% 0.74/1.03  6 axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) # label(axiom_1_6) # label(axiom).  [assumption].
% 0.74/1.03  Derived: theorem(or(not(or(A,A)),A)).  [resolve(1,b,2,a)].
% 0.74/1.03  Derived: theorem(or(not(A),or(B,A))).  [resolve(1,b,3,a)].
% 0.74/1.03  Derived: theorem(or(not(or(A,B)),or(B,A))).  [resolve(1,b,4,a)].
% 0.74/1.03  Derived: theorem(or(not(or(A,or(B,C))),or(B,or(A,C)))).  [resolve(1,b,5,a)].
% 0.74/1.03  Derived: theorem(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))).  [resolve(1,b,6,a)].
% 0.74/1.03  7 theorem(A) | -axiom(or(not(B),A)) | -theorem(B) # label(rule_2) # label(axiom).  [assumption].
% 0.74/1.03  Derived: theorem(A) | -theorem(or(A,A)).  [resolve(7,b,2,a)].
% 0.74/1.03  Derived: theorem(or(A,B)) | -theorem(B).  [resolve(7,b,3,a)].
% 0.74/1.03  Derived: theorem(or(A,B)) | -theorem(or(B,A)).  [resolve(7,b,4,a)].
% 0.74/1.03  Derived: theorem(or(A,or(B,C))) | -theorem(or(B,or(A,C))).  [resolve(7,b,5,a)].
% 0.74/1.03  Derived: theorem(or(not(or(A,B)),or(A,C))) | -theorem(or(not(B),C)).  [resolve(7,b,6,a)].
% 0.74/1.03  8 theorem(or(not(A),B)) | -axiom(or(not(A),C)) | -theorem(or(not(C),B)) # label(rule_3) # label(axiom).  [assumption].
% 0.74/1.03  Derived: theorem(or(not(or(A,A)),B)) | -theorem(or(not(A),B)).  [resolve(8,b,2,a)].
% 0.74/1.03  Derived: theorem(or(not(A),B)) | -theorem(or(not(or(C,A)),B)).  [resolve(8,b,3,a)].
% 0.74/1.03  Derived: theorem(or(not(or(A,B)),C)) | -theorem(or(not(or(B,A)),C)).  [resolve(8,b,4,a)].
% 0.74/1.03  Derived: theorem(or(not(or(A,or(B,C))),D)) | -theorem(or(not(or(B,or(A,C))),D)).  [resolve(8,b,5,a)].
% 0.80/1.14  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)].
% 0.80/1.14  
% 0.80/1.14  ============================== end predicate elimination =============
% 0.80/1.14  
% 0.80/1.14  Auto_denials:
% 0.80/1.14    % copying label prove_this to answer in negative clause
% 0.80/1.14  
% 0.80/1.14  Term ordering decisions:
% 0.80/1.14  
% 0.80/1.14  % Assigning unary symbol not kb_weight 0 and highest precedence (5).
% 0.80/1.14  Function symbol KB weights:  p=1. q=1. or=1. not=0.
% 0.80/1.14  
% 0.80/1.14  ============================== end of process initial clauses ========
% 0.80/1.14  
% 0.80/1.14  ============================== CLAUSES FOR SEARCH ====================
% 0.80/1.14  
% 0.80/1.14  ============================== end of clauses for search =============
% 0.80/1.14  
% 0.80/1.14  ============================== SEARCH ================================
% 0.80/1.14  
% 0.80/1.14  % Starting search at 0.01 seconds.
% 0.80/1.14  
% 0.80/1.14  ============================== PROOF =================================
% 0.80/1.14  % SZS status Unsatisfiable
% 0.80/1.14  % SZS output start Refutation
% 0.80/1.14  
% 0.80/1.14  % Proof 1 at 0.11 (+ 0.01) seconds: prove_this.
% 0.80/1.14  % Length of proof is 19.
% 0.80/1.14  % Level of proof is 5.
% 0.80/1.14  % Maximum clause weight is 20.000.
% 0.80/1.14  % Given clauses 373.
% 0.80/1.14  
% 0.80/1.14  1 theorem(A) | -axiom(A) # label(rule_1) # label(axiom).  [assumption].
% 0.80/1.14  2 axiom(or(not(or(A,A)),A)) # label(axiom_1_2) # label(axiom).  [assumption].
% 0.80/1.14  4 axiom(or(not(or(A,B)),or(B,A))) # label(axiom_1_4) # label(axiom).  [assumption].
% 0.80/1.14  5 axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) # label(axiom_1_5) # label(axiom).  [assumption].
% 0.80/1.14  6 axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) # label(axiom_1_6) # label(axiom).  [assumption].
% 0.80/1.14  7 theorem(A) | -axiom(or(not(B),A)) | -theorem(B) # label(rule_2) # label(axiom).  [assumption].
% 0.80/1.14  8 theorem(or(not(A),B)) | -axiom(or(not(A),C)) | -theorem(or(not(C),B)) # label(rule_3) # label(axiom).  [assumption].
% 0.80/1.14  9 -theorem(or(not(or(not(p),q)),or(not(or(p,q)),q))) # label(prove_this) # label(negated_conjecture) # answer(prove_this).  [assumption].
% 0.80/1.14  10 theorem(or(not(or(A,A)),A)).  [resolve(1,b,2,a)].
% 0.80/1.14  18 theorem(or(A,or(B,C))) | -theorem(or(B,or(A,C))).  [resolve(7,b,5,a)].
% 0.80/1.14  19 theorem(or(not(or(A,B)),or(A,C))) | -theorem(or(not(B),C)).  [resolve(7,b,6,a)].
% 0.80/1.14  22 theorem(or(not(or(A,B)),C)) | -theorem(or(not(or(B,A)),C)).  [resolve(8,b,4,a)].
% 0.80/1.14  24 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)].
% 0.80/1.14  48 theorem(or(not(or(A,or(B,B))),or(A,B))).  [ur(19,b,10,a)].
% 0.80/1.14  67 -theorem(or(not(or(not(or(A,p)),or(A,q))),or(not(or(p,q)),q))) # answer(prove_this).  [resolve(24,a,9,a)].
% 0.80/1.14  517 theorem(or(A,or(not(or(A,or(B,B))),B))).  [ur(18,b,48,a)].
% 0.80/1.14  951 -theorem(or(not(or(p,q)),or(not(or(not(or(A,p)),or(A,q))),q))) # answer(prove_this).  [resolve(67,a,18,a)].
% 0.80/1.14  1334 theorem(or(not(or(A,B)),or(not(or(not(or(B,A)),or(C,C))),C))).  [ur(22,b,517,a)].
% 0.80/1.14  1335 $F # answer(prove_this).  [resolve(1334,a,951,a)].
% 0.80/1.14  
% 0.80/1.14  % SZS output end Refutation
% 0.80/1.14  ============================== end of proof ==========================
% 0.80/1.14  
% 0.80/1.14  ============================== STATISTICS ============================
% 0.80/1.14  
% 0.80/1.14  Given=373. Generated=2881. Kept=1326. proofs=1.
% 0.80/1.14  Usable=373. Sos=858. Demods=0. Limbo=2, Disabled=116. Hints=0.
% 0.80/1.14  Megabytes=1.10.
% 0.80/1.14  User_CPU=0.11, System_CPU=0.01, Wall_clock=0.
% 0.80/1.14  
% 0.80/1.14  ============================== end of statistics =====================
% 0.80/1.14  
% 0.80/1.14  ============================== end of search =========================
% 0.80/1.14  
% 0.80/1.14  THEOREM PROVED
% 0.80/1.14  % SZS status Unsatisfiable
% 0.80/1.14  
% 0.80/1.14  Exiting with 1 proof.
% 0.80/1.14  
% 0.80/1.14  Process 1669 exit (max_proofs) Mon Jul  4 18:47:30 2022
% 0.80/1.14  Prover9 interrupted
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