TSTP Solution File: LCL066-1 by Prover9---1109a

View Problem - Process Solution

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% File     : Prover9---1109a
% Problem  : LCL066-1 : TPTP v8.1.0. Released v1.0.0.
% 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 13:43:45 EDT 2022

% Result   : Unsatisfiable 0.50s 0.83s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem  : LCL066-1 : TPTP v8.1.0. Released v1.0.0.
% 0.05/0.11  % Command  : tptp2X_and_run_prover9 %d %s
% 0.09/0.31  % Computer : n008.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit : 300
% 0.09/0.31  % WCLimit  : 600
% 0.09/0.31  % DateTime : Sat Jul  2 13:54:08 EDT 2022
% 0.09/0.31  % CPUTime  : 
% 0.50/0.83  ============================== Prover9 ===============================
% 0.50/0.83  Prover9 (32) version 2009-11A, November 2009.
% 0.50/0.83  Process 7840 was started by sandbox2 on n008.cluster.edu,
% 0.50/0.83  Sat Jul  2 13:54:08 2022
% 0.50/0.83  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_7686_n008.cluster.edu".
% 0.50/0.83  ============================== end of head ===========================
% 0.50/0.83  
% 0.50/0.83  ============================== INPUT =================================
% 0.50/0.83  
% 0.50/0.83  % Reading from file /tmp/Prover9_7686_n008.cluster.edu
% 0.50/0.83  
% 0.50/0.83  set(prolog_style_variables).
% 0.50/0.83  set(auto2).
% 0.50/0.83      % set(auto2) -> set(auto).
% 0.50/0.83      % set(auto) -> set(auto_inference).
% 0.50/0.83      % set(auto) -> set(auto_setup).
% 0.50/0.83      % set(auto_setup) -> set(predicate_elim).
% 0.50/0.83      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.50/0.83      % set(auto) -> set(auto_limits).
% 0.50/0.83      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.50/0.83      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.50/0.83      % set(auto) -> set(auto_denials).
% 0.50/0.83      % set(auto) -> set(auto_process).
% 0.50/0.83      % set(auto2) -> assign(new_constants, 1).
% 0.50/0.83      % set(auto2) -> assign(fold_denial_max, 3).
% 0.50/0.83      % set(auto2) -> assign(max_weight, "200.000").
% 0.50/0.83      % set(auto2) -> assign(max_hours, 1).
% 0.50/0.83      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.50/0.83      % set(auto2) -> assign(max_seconds, 0).
% 0.50/0.83      % set(auto2) -> assign(max_minutes, 5).
% 0.50/0.83      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.50/0.83      % set(auto2) -> set(sort_initial_sos).
% 0.50/0.83      % set(auto2) -> assign(sos_limit, -1).
% 0.50/0.83      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.50/0.83      % set(auto2) -> assign(max_megs, 400).
% 0.50/0.83      % set(auto2) -> assign(stats, some).
% 0.50/0.83      % set(auto2) -> clear(echo_input).
% 0.50/0.83      % set(auto2) -> set(quiet).
% 0.50/0.83      % set(auto2) -> clear(print_initial_clauses).
% 0.50/0.83      % set(auto2) -> clear(print_given).
% 0.50/0.83  assign(lrs_ticks,-1).
% 0.50/0.83  assign(sos_limit,10000).
% 0.50/0.83  assign(order,kbo).
% 0.50/0.83  set(lex_order_vars).
% 0.50/0.83  clear(print_given).
% 0.50/0.83  
% 0.50/0.83  % formulas(sos).  % not echoed (5 formulas)
% 0.50/0.83  
% 0.50/0.83  ============================== end of input ==========================
% 0.50/0.83  
% 0.50/0.83  % From the command line: assign(max_seconds, 300).
% 0.50/0.83  
% 0.50/0.83  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.50/0.83  
% 0.50/0.83  % Formulas that are not ordinary clauses:
% 0.50/0.83  
% 0.50/0.83  ============================== end of process non-clausal formulas ===
% 0.50/0.83  
% 0.50/0.83  ============================== PROCESS INITIAL CLAUSES ===============
% 0.50/0.83  
% 0.50/0.83  ============================== PREDICATE ELIMINATION =================
% 0.50/0.83  
% 0.50/0.83  ============================== end predicate elimination =============
% 0.50/0.83  
% 0.50/0.83  Auto_denials:
% 0.50/0.83    % copying label prove_cn_3 to answer in negative clause
% 0.50/0.83  
% 0.50/0.83  Term ordering decisions:
% 0.50/0.83  
% 0.50/0.83  % Assigning unary symbol not kb_weight 0 and highest precedence (5).
% 0.50/0.83  Function symbol KB weights:  a=1. b=1. implies=1. not=0.
% 0.50/0.83  
% 0.50/0.83  ============================== end of process initial clauses ========
% 0.50/0.83  
% 0.50/0.83  ============================== CLAUSES FOR SEARCH ====================
% 0.50/0.83  
% 0.50/0.83  ============================== end of clauses for search =============
% 0.50/0.83  
% 0.50/0.83  ============================== SEARCH ================================
% 0.50/0.83  
% 0.50/0.83  % Starting search at 0.01 seconds.
% 0.50/0.83  
% 0.50/0.83  ============================== PROOF =================================
% 0.50/0.83  % SZS status Unsatisfiable
% 0.50/0.83  % SZS output start Refutation
% 0.50/0.83  
% 0.50/0.83  % Proof 1 at 0.05 (+ 0.01) seconds: prove_cn_3.
% 0.50/0.83  % Length of proof is 14.
% 0.50/0.83  % Level of proof is 7.
% 0.50/0.83  % Maximum clause weight is 20.000.
% 0.50/0.83  % Given clauses 98.
% 0.50/0.83  
% 0.50/0.83  1 is_a_theorem(implies(A,implies(B,A))) # label(cn_18) # label(axiom).  [assumption].
% 0.50/0.83  2 is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))) # label(cn_49) # label(axiom).  [assumption].
% 0.50/0.83  3 is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))) # label(cn_35) # label(axiom).  [assumption].
% 0.50/0.83  4 -is_a_theorem(implies(a,implies(not(a),b))) # label(prove_cn_3) # label(negated_conjecture) # answer(prove_cn_3).  [assumption].
% 0.50/0.83  5 -is_a_theorem(implies(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom).  [assumption].
% 0.50/0.83  6 is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(A,B)),implies(implies(A,implies(B,C)),implies(A,C)))).  [hyper(5,a,3,a,b,3,a)].
% 0.50/0.83  10 is_a_theorem(implies(A,implies(implies(not(B),not(C)),implies(C,B)))).  [hyper(5,a,1,a,b,2,a)].
% 0.50/0.83  11 is_a_theorem(implies(A,implies(B,implies(C,B)))).  [hyper(5,a,1,a,b,1,a)].
% 0.50/0.83  21 is_a_theorem(implies(implies(A,implies(implies(B,A),C)),implies(A,C))).  [hyper(5,a,6,a,b,11,a)].
% 0.50/0.83  141 is_a_theorem(implies(not(A),implies(A,B))).  [hyper(5,a,21,a,b,10,a)].
% 0.50/0.83  153 is_a_theorem(implies(implies(not(A),A),implies(not(A),B))).  [hyper(5,a,3,a,b,141,a)].
% 0.50/0.83  170 is_a_theorem(implies(A,implies(implies(not(B),B),implies(not(B),C)))).  [hyper(5,a,1,a,b,153,a)].
% 0.50/0.83  959 is_a_theorem(implies(A,implies(not(A),B))).  [hyper(5,a,21,a,b,170,a)].
% 0.50/0.83  960 $F # answer(prove_cn_3).  [resolve(959,a,4,a)].
% 0.50/0.83  
% 0.50/0.83  % SZS output end Refutation
% 0.50/0.83  ============================== end of proof ==========================
% 0.50/0.83  
% 0.50/0.83  ============================== STATISTICS ============================
% 0.50/0.83  
% 0.50/0.83  Given=98. Generated=5796. Kept=959. proofs=1.
% 0.50/0.83  Usable=97. Sos=837. Demods=0. Limbo=10, Disabled=19. Hints=0.
% 0.50/0.83  Megabytes=0.92.
% 0.50/0.83  User_CPU=0.05, System_CPU=0.01, Wall_clock=0.
% 0.50/0.83  
% 0.50/0.83  ============================== end of statistics =====================
% 0.50/0.83  
% 0.50/0.83  ============================== end of search =========================
% 0.50/0.83  
% 0.50/0.83  THEOREM PROVED
% 0.50/0.83  % SZS status Unsatisfiable
% 0.50/0.83  
% 0.50/0.83  Exiting with 1 proof.
% 0.50/0.83  
% 0.50/0.83  Process 7840 exit (max_proofs) Sat Jul  2 13:54:08 2022
% 0.50/0.83  Prover9 interrupted
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