TSTP Solution File: LCL075-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : LCL075-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n017.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 13:43:48 EDT 2022

% Result   : Unsatisfiable 0.89s 1.16s
% Output   : Refutation 0.89s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : LCL075-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.33  % Computer : n017.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jul  3 15:26:56 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.89/1.16  ============================== Prover9 ===============================
% 0.89/1.16  Prover9 (32) version 2009-11A, November 2009.
% 0.89/1.16  Process 5295 was started by sandbox on n017.cluster.edu,
% 0.89/1.16  Sun Jul  3 15:26:57 2022
% 0.89/1.16  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_5142_n017.cluster.edu".
% 0.89/1.16  ============================== end of head ===========================
% 0.89/1.16  
% 0.89/1.16  ============================== INPUT =================================
% 0.89/1.16  
% 0.89/1.16  % Reading from file /tmp/Prover9_5142_n017.cluster.edu
% 0.89/1.16  
% 0.89/1.16  set(prolog_style_variables).
% 0.89/1.16  set(auto2).
% 0.89/1.16      % set(auto2) -> set(auto).
% 0.89/1.16      % set(auto) -> set(auto_inference).
% 0.89/1.16      % set(auto) -> set(auto_setup).
% 0.89/1.16      % set(auto_setup) -> set(predicate_elim).
% 0.89/1.16      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.89/1.16      % set(auto) -> set(auto_limits).
% 0.89/1.16      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.89/1.16      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.89/1.16      % set(auto) -> set(auto_denials).
% 0.89/1.16      % set(auto) -> set(auto_process).
% 0.89/1.16      % set(auto2) -> assign(new_constants, 1).
% 0.89/1.16      % set(auto2) -> assign(fold_denial_max, 3).
% 0.89/1.16      % set(auto2) -> assign(max_weight, "200.000").
% 0.89/1.16      % set(auto2) -> assign(max_hours, 1).
% 0.89/1.16      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.89/1.16      % set(auto2) -> assign(max_seconds, 0).
% 0.89/1.16      % set(auto2) -> assign(max_minutes, 5).
% 0.89/1.16      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.89/1.16      % set(auto2) -> set(sort_initial_sos).
% 0.89/1.16      % set(auto2) -> assign(sos_limit, -1).
% 0.89/1.16      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.89/1.16      % set(auto2) -> assign(max_megs, 400).
% 0.89/1.16      % set(auto2) -> assign(stats, some).
% 0.89/1.16      % set(auto2) -> clear(echo_input).
% 0.89/1.16      % set(auto2) -> set(quiet).
% 0.89/1.16      % set(auto2) -> clear(print_initial_clauses).
% 0.89/1.16      % set(auto2) -> clear(print_given).
% 0.89/1.16  assign(lrs_ticks,-1).
% 0.89/1.16  assign(sos_limit,10000).
% 0.89/1.16  assign(order,kbo).
% 0.89/1.16  set(lex_order_vars).
% 0.89/1.16  clear(print_given).
% 0.89/1.16  
% 0.89/1.16  % formulas(sos).  % not echoed (3 formulas)
% 0.89/1.16  
% 0.89/1.16  ============================== end of input ==========================
% 0.89/1.16  
% 0.89/1.16  % From the command line: assign(max_seconds, 300).
% 0.89/1.16  
% 0.89/1.16  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.89/1.16  
% 0.89/1.16  % Formulas that are not ordinary clauses:
% 0.89/1.16  
% 0.89/1.16  ============================== end of process non-clausal formulas ===
% 0.89/1.16  
% 0.89/1.16  ============================== PROCESS INITIAL CLAUSES ===============
% 0.89/1.16  
% 0.89/1.16  ============================== PREDICATE ELIMINATION =================
% 0.89/1.16  
% 0.89/1.16  ============================== end predicate elimination =============
% 0.89/1.16  
% 0.89/1.16  Auto_denials:
% 0.89/1.16    % copying label prove_cn_3 to answer in negative clause
% 0.89/1.16  
% 0.89/1.16  Term ordering decisions:
% 0.89/1.16  
% 0.89/1.16  % Assigning unary symbol not kb_weight 0 and highest precedence (5).
% 0.89/1.16  Function symbol KB weights:  a=1. b=1. implies=1. not=0.
% 0.89/1.16  
% 0.89/1.16  ============================== end of process initial clauses ========
% 0.89/1.16  
% 0.89/1.16  ============================== CLAUSES FOR SEARCH ====================
% 0.89/1.16  
% 0.89/1.16  ============================== end of clauses for search =============
% 0.89/1.16  
% 0.89/1.16  ============================== SEARCH ================================
% 0.89/1.16  
% 0.89/1.16  % Starting search at 0.01 seconds.
% 0.89/1.16  
% 0.89/1.16  ============================== PROOF =================================
% 0.89/1.16  % SZS status Unsatisfiable
% 0.89/1.16  % SZS output start Refutation
% 0.89/1.16  
% 0.89/1.16  % Proof 1 at 0.17 (+ 0.02) seconds: prove_cn_3.
% 0.89/1.16  % Length of proof is 12.
% 0.89/1.16  % Level of proof is 9.
% 0.89/1.16  % Maximum clause weight is 22.000.
% 0.89/1.16  % Given clauses 138.
% 0.89/1.16  
% 0.89/1.16  1 is_a_theorem(implies(implies(implies(implies(implies(A,B),implies(not(C),not(D))),C),E),implies(implies(E,A),implies(D,A)))) # label(cn_CAMerideth) # label(axiom).  [assumption].
% 0.89/1.16  2 -is_a_theorem(implies(a,implies(not(a),b))) # label(prove_cn_3) # label(negated_conjecture) # answer(prove_cn_3).  [assumption].
% 0.89/1.16  3 -is_a_theorem(implies(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom).  [assumption].
% 0.89/1.16  4 is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),implies(B,D)),implies(E,implies(B,D)))).  [hyper(3,a,1,a,b,1,a)].
% 0.89/1.16  6 is_a_theorem(implies(implies(implies(A,implies(not(B),C)),D),implies(B,D))).  [hyper(3,a,1,a,b,4,a)].
% 0.89/1.16  15 is_a_theorem(implies(implies(implies(A,A),B),implies(C,B))).  [hyper(3,a,1,a,b,6,a)].
% 0.89/1.16  35 is_a_theorem(implies(A,implies(B,implies(C,C)))).  [hyper(3,a,15,a,b,15,a)].
% 0.89/1.16  47 is_a_theorem(implies(implies(implies(A,implies(B,B)),C),implies(D,C))).  [hyper(3,a,1,a,b,35,a)].
% 0.89/1.16  181 is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).  [hyper(3,a,1,a,b,47,a)].
% 0.89/1.16  189 is_a_theorem(implies(implies(implies(implies(not(A),not(B)),A),C),implies(B,C))).  [hyper(3,a,1,a,b,181,a)].
% 0.89/1.16  1950 is_a_theorem(implies(A,implies(not(A),B))).  [hyper(3,a,189,a,b,181,a)].
% 0.89/1.16  1951 $F # answer(prove_cn_3).  [resolve(1950,a,2,a)].
% 0.89/1.16  
% 0.89/1.16  % SZS output end Refutation
% 0.89/1.16  ============================== end of proof ==========================
% 0.89/1.16  
% 0.89/1.16  ============================== STATISTICS ============================
% 0.89/1.16  
% 0.89/1.16  Given=138. Generated=13142. Kept=1950. proofs=1.
% 0.89/1.16  Usable=134. Sos=1755. Demods=0. Limbo=32, Disabled=31. Hints=0.
% 0.89/1.16  Megabytes=2.51.
% 0.89/1.16  User_CPU=0.17, System_CPU=0.02, Wall_clock=0.
% 0.89/1.16  
% 0.89/1.16  ============================== end of statistics =====================
% 0.89/1.16  
% 0.89/1.16  ============================== end of search =========================
% 0.89/1.16  
% 0.89/1.16  THEOREM PROVED
% 0.89/1.16  % SZS status Unsatisfiable
% 0.89/1.16  
% 0.89/1.16  Exiting with 1 proof.
% 0.89/1.16  
% 0.89/1.16  Process 5295 exit (max_proofs) Sun Jul  3 15:26:57 2022
% 0.89/1.16  Prover9 interrupted
%------------------------------------------------------------------------------