TSTP Solution File: LCL194-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : LCL194-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n007.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 13:44:47 EDT 2022

% Result   : Unsatisfiable 0.44s 1.05s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : LCL194-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.34  % Computer : n007.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
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul  4 00:49:41 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.44/1.03  ============================== Prover9 ===============================
% 0.44/1.03  Prover9 (32) version 2009-11A, November 2009.
% 0.44/1.03  Process 31258 was started by sandbox on n007.cluster.edu,
% 0.44/1.03  Mon Jul  4 00:49:42 2022
% 0.44/1.03  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_30807_n007.cluster.edu".
% 0.44/1.03  ============================== end of head ===========================
% 0.44/1.03  
% 0.44/1.03  ============================== INPUT =================================
% 0.44/1.03  
% 0.44/1.03  % Reading from file /tmp/Prover9_30807_n007.cluster.edu
% 0.44/1.03  
% 0.44/1.03  set(prolog_style_variables).
% 0.44/1.03  set(auto2).
% 0.44/1.03      % set(auto2) -> set(auto).
% 0.44/1.03      % set(auto) -> set(auto_inference).
% 0.44/1.03      % set(auto) -> set(auto_setup).
% 0.44/1.03      % set(auto_setup) -> set(predicate_elim).
% 0.44/1.03      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.44/1.03      % set(auto) -> set(auto_limits).
% 0.44/1.03      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.44/1.03      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.44/1.03      % set(auto) -> set(auto_denials).
% 0.44/1.03      % set(auto) -> set(auto_process).
% 0.44/1.03      % set(auto2) -> assign(new_constants, 1).
% 0.44/1.03      % set(auto2) -> assign(fold_denial_max, 3).
% 0.44/1.03      % set(auto2) -> assign(max_weight, "200.000").
% 0.44/1.03      % set(auto2) -> assign(max_hours, 1).
% 0.44/1.03      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.44/1.03      % set(auto2) -> assign(max_seconds, 0).
% 0.44/1.03      % set(auto2) -> assign(max_minutes, 5).
% 0.44/1.03      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.44/1.03      % set(auto2) -> set(sort_initial_sos).
% 0.44/1.03      % set(auto2) -> assign(sos_limit, -1).
% 0.44/1.03      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.44/1.03      % set(auto2) -> assign(max_megs, 400).
% 0.44/1.03      % set(auto2) -> assign(stats, some).
% 0.44/1.03      % set(auto2) -> clear(echo_input).
% 0.44/1.03      % set(auto2) -> set(quiet).
% 0.44/1.03      % set(auto2) -> clear(print_initial_clauses).
% 0.44/1.03      % set(auto2) -> clear(print_given).
% 0.44/1.03  assign(lrs_ticks,-1).
% 0.44/1.03  assign(sos_limit,10000).
% 0.44/1.03  assign(order,kbo).
% 0.44/1.03  set(lex_order_vars).
% 0.44/1.03  clear(print_given).
% 0.44/1.03  
% 0.44/1.03  % formulas(sos).  % not echoed (9 formulas)
% 0.44/1.03  
% 0.44/1.03  ============================== end of input ==========================
% 0.44/1.03  
% 0.44/1.03  % From the command line: assign(max_seconds, 300).
% 0.44/1.03  
% 0.44/1.03  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.44/1.03  
% 0.44/1.03  % Formulas that are not ordinary clauses:
% 0.44/1.03  
% 0.44/1.03  ============================== end of process non-clausal formulas ===
% 0.44/1.03  
% 0.44/1.03  ============================== PROCESS INITIAL CLAUSES ===============
% 0.44/1.03  
% 0.44/1.03  ============================== PREDICATE ELIMINATION =================
% 0.44/1.03  1 theorem(A) | -axiom(A) # label(rule_1) # label(axiom).  [assumption].
% 0.44/1.03  2 axiom(or(not(or(A,A)),A)) # label(axiom_1_2) # label(axiom).  [assumption].
% 0.44/1.03  3 axiom(or(not(A),or(B,A))) # label(axiom_1_3) # label(axiom).  [assumption].
% 0.44/1.03  4 axiom(or(not(or(A,B)),or(B,A))) # label(axiom_1_4) # label(axiom).  [assumption].
% 0.44/1.03  5 axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) # label(axiom_1_5) # label(axiom).  [assumption].
% 0.44/1.03  6 axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) # label(axiom_1_6) # label(axiom).  [assumption].
% 0.44/1.03  Derived: theorem(or(not(or(A,A)),A)).  [resolve(1,b,2,a)].
% 0.44/1.03  Derived: theorem(or(not(A),or(B,A))).  [resolve(1,b,3,a)].
% 0.44/1.03  Derived: theorem(or(not(or(A,B)),or(B,A))).  [resolve(1,b,4,a)].
% 0.44/1.03  Derived: theorem(or(not(or(A,or(B,C))),or(B,or(A,C)))).  [resolve(1,b,5,a)].
% 0.44/1.03  Derived: theorem(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))).  [resolve(1,b,6,a)].
% 0.44/1.03  7 theorem(A) | -axiom(or(not(B),A)) | -theorem(B) # label(rule_2) # label(axiom).  [assumption].
% 0.44/1.03  Derived: theorem(A) | -theorem(or(A,A)).  [resolve(7,b,2,a)].
% 0.44/1.03  Derived: theorem(or(A,B)) | -theorem(B).  [resolve(7,b,3,a)].
% 0.44/1.03  Derived: theorem(or(A,B)) | -theorem(or(B,A)).  [resolve(7,b,4,a)].
% 0.44/1.03  Derived: theorem(or(A,or(B,C))) | -theorem(or(B,or(A,C))).  [resolve(7,b,5,a)].
% 0.44/1.03  Derived: theorem(or(not(or(A,B)),or(A,C))) | -theorem(or(not(B),C)).  [resolve(7,b,6,a)].
% 0.44/1.03  8 theorem(or(not(A),B)) | -axiom(or(not(A),C)) | -theorem(or(not(C),B)) # label(rule_3) # label(axiom).  [assumption].
% 0.44/1.03  Derived: theorem(or(not(or(A,A)),B)) | -theorem(or(not(A),B)).  [resolve(8,b,2,a)].
% 0.44/1.03  Derived: theorem(or(not(A),B)) | -theorem(or(not(or(C,A)),B)).  [resolve(8,b,3,a)].
% 0.44/1.03  Derived: theorem(or(not(or(A,B)),C)) | -theorem(or(not(or(B,A)),C)).  [resolve(8,b,4,a)].
% 0.44/1.03  Derived: theorem(or(not(or(A,or(B,C))),D)) | -theorem(or(not(or(B,or(A,C))),D)).  [resolve(8,b,5,a)].
% 0.44/1.05  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)].
% 0.44/1.05  
% 0.44/1.05  ============================== end predicate elimination =============
% 0.44/1.05  
% 0.44/1.05  Auto_denials:
% 0.44/1.05    % copying label prove_this to answer in negative clause
% 0.44/1.05  
% 0.44/1.05  Term ordering decisions:
% 0.44/1.05  
% 0.44/1.05  % Assigning unary symbol not kb_weight 0 and highest precedence (6).
% 0.44/1.05  Function symbol KB weights:  p=1. q=1. r=1. or=1. not=0.
% 0.44/1.05  
% 0.44/1.05  ============================== end of process initial clauses ========
% 0.44/1.05  
% 0.44/1.05  ============================== CLAUSES FOR SEARCH ====================
% 0.44/1.05  
% 0.44/1.05  ============================== end of clauses for search =============
% 0.44/1.05  
% 0.44/1.05  ============================== SEARCH ================================
% 0.44/1.05  
% 0.44/1.05  % Starting search at 0.01 seconds.
% 0.44/1.05  
% 0.44/1.05  ============================== PROOF =================================
% 0.44/1.05  % SZS status Unsatisfiable
% 0.44/1.05  % SZS output start Refutation
% 0.44/1.05  
% 0.44/1.05  % Proof 1 at 0.03 (+ 0.00) seconds: prove_this.
% 0.44/1.05  % Length of proof is 14.
% 0.44/1.05  % Level of proof is 4.
% 0.44/1.05  % Maximum clause weight is 15.000.
% 0.44/1.05  % Given clauses 80.
% 0.44/1.05  
% 0.44/1.05  1 theorem(A) | -axiom(A) # label(rule_1) # label(axiom).  [assumption].
% 0.44/1.05  4 axiom(or(not(or(A,B)),or(B,A))) # label(axiom_1_4) # label(axiom).  [assumption].
% 0.44/1.05  5 axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) # label(axiom_1_5) # label(axiom).  [assumption].
% 0.44/1.05  6 axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) # label(axiom_1_6) # label(axiom).  [assumption].
% 0.44/1.05  7 theorem(A) | -axiom(or(not(B),A)) | -theorem(B) # label(rule_2) # label(axiom).  [assumption].
% 0.44/1.05  8 theorem(or(not(A),B)) | -axiom(or(not(A),C)) | -theorem(or(not(C),B)) # label(rule_3) # label(axiom).  [assumption].
% 0.44/1.05  9 -theorem(or(not(or(not(q),r)),or(not(or(q,p)),or(p,r)))) # label(prove_this) # label(negated_conjecture) # answer(prove_this).  [assumption].
% 0.44/1.05  14 theorem(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))).  [resolve(1,b,6,a)].
% 0.44/1.05  18 theorem(or(A,or(B,C))) | -theorem(or(B,or(A,C))).  [resolve(7,b,5,a)].
% 0.44/1.05  22 theorem(or(not(or(A,B)),C)) | -theorem(or(not(or(B,A)),C)).  [resolve(8,b,4,a)].
% 0.44/1.05  38 -theorem(or(not(or(q,p)),or(not(or(not(q),r)),or(p,r)))) # answer(prove_this).  [resolve(18,a,9,a)].
% 0.44/1.05  39 theorem(or(not(or(A,B)),or(not(or(not(B),C)),or(A,C)))).  [ur(18,b,14,a)].
% 0.44/1.05  274 -theorem(or(not(or(p,q)),or(not(or(not(q),r)),or(p,r)))) # answer(prove_this).  [resolve(38,a,22,a)].
% 0.44/1.05  275 $F # answer(prove_this).  [resolve(274,a,39,a)].
% 0.44/1.05  
% 0.44/1.05  % SZS output end Refutation
% 0.44/1.05  ============================== end of proof ==========================
% 0.44/1.05  
% 0.44/1.05  ============================== STATISTICS ============================
% 0.44/1.05  
% 0.44/1.05  Given=80. Generated=522. Kept=266. proofs=1.
% 0.44/1.05  Usable=80. Sos=174. Demods=0. Limbo=0, Disabled=35. Hints=0.
% 0.44/1.05  Megabytes=0.25.
% 0.44/1.05  User_CPU=0.03, System_CPU=0.00, Wall_clock=0.
% 0.44/1.05  
% 0.44/1.05  ============================== end of statistics =====================
% 0.44/1.05  
% 0.44/1.05  ============================== end of search =========================
% 0.44/1.05  
% 0.44/1.05  THEOREM PROVED
% 0.44/1.05  % SZS status Unsatisfiable
% 0.44/1.05  
% 0.44/1.05  Exiting with 1 proof.
% 0.44/1.05  
% 0.44/1.05  Process 31258 exit (max_proofs) Mon Jul  4 00:49:42 2022
% 0.44/1.05  Prover9 interrupted
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