TSTP Solution File: LCL909+1 by Prover9---1109a

View Problem - Process Solution

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% File     : Prover9---1109a
% Problem  : LCL909+1 : TPTP v8.1.0. Released v6.4.0.
% 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 13:51:06 EDT 2022

% Result   : Timeout 300.01s 300.33s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL909+1 : TPTP v8.1.0. Released v6.4.0.
% 0.11/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.34  % Computer : n017.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 22:40:57 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.75/1.01  ============================== Prover9 ===============================
% 0.75/1.01  Prover9 (32) version 2009-11A, November 2009.
% 0.75/1.01  Process 28985 was started by sandbox on n017.cluster.edu,
% 0.75/1.01  Mon Jul  4 22:40:58 2022
% 0.75/1.01  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_28832_n017.cluster.edu".
% 0.75/1.01  ============================== end of head ===========================
% 0.75/1.01  
% 0.75/1.01  ============================== INPUT =================================
% 0.75/1.01  
% 0.75/1.01  % Reading from file /tmp/Prover9_28832_n017.cluster.edu
% 0.75/1.01  
% 0.75/1.01  set(prolog_style_variables).
% 0.75/1.01  set(auto2).
% 0.75/1.01      % set(auto2) -> set(auto).
% 0.75/1.01      % set(auto) -> set(auto_inference).
% 0.75/1.01      % set(auto) -> set(auto_setup).
% 0.75/1.01      % set(auto_setup) -> set(predicate_elim).
% 0.75/1.01      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.75/1.01      % set(auto) -> set(auto_limits).
% 0.75/1.01      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.75/1.01      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.75/1.01      % set(auto) -> set(auto_denials).
% 0.75/1.01      % set(auto) -> set(auto_process).
% 0.75/1.01      % set(auto2) -> assign(new_constants, 1).
% 0.75/1.01      % set(auto2) -> assign(fold_denial_max, 3).
% 0.75/1.01      % set(auto2) -> assign(max_weight, "200.000").
% 0.75/1.01      % set(auto2) -> assign(max_hours, 1).
% 0.75/1.01      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.75/1.01      % set(auto2) -> assign(max_seconds, 0).
% 0.75/1.01      % set(auto2) -> assign(max_minutes, 5).
% 0.75/1.01      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.75/1.01      % set(auto2) -> set(sort_initial_sos).
% 0.75/1.01      % set(auto2) -> assign(sos_limit, -1).
% 0.75/1.01      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.75/1.01      % set(auto2) -> assign(max_megs, 400).
% 0.75/1.01      % set(auto2) -> assign(stats, some).
% 0.75/1.01      % set(auto2) -> clear(echo_input).
% 0.75/1.01      % set(auto2) -> set(quiet).
% 0.75/1.01      % set(auto2) -> clear(print_initial_clauses).
% 0.75/1.01      % set(auto2) -> clear(print_given).
% 0.75/1.01  assign(lrs_ticks,-1).
% 0.75/1.01  assign(sos_limit,10000).
% 0.75/1.01  assign(order,kbo).
% 0.75/1.01  set(lex_order_vars).
% 0.75/1.01  clear(print_given).
% 0.75/1.01  
% 0.75/1.01  % formulas(sos).  % not echoed (41 formulas)
% 0.75/1.01  
% 0.75/1.01  ============================== end of input ==========================
% 0.75/1.01  
% 0.75/1.01  % From the command line: assign(max_seconds, 300).
% 0.75/1.01  
% 0.75/1.01  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.75/1.01  
% 0.75/1.01  % Formulas that are not ordinary clauses:
% 0.75/1.01  1 modus_ponens <-> (all X all Y (is_a_theorem(X) & is_a_theorem(implies(X,Y)) -> is_a_theorem(Y))) # label(modus_ponens) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  2 substitution_of_equivalents <-> (all X all Y (is_a_theorem(equiv(X,Y)) -> X = Y)) # label(substitution_of_equivalents) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  3 modus_tollens <-> (all X all Y is_a_theorem(implies(implies(not(Y),not(X)),implies(X,Y)))) # label(modus_tollens) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  4 implies_1 <-> (all X all Y is_a_theorem(implies(X,implies(Y,X)))) # label(implies_1) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  5 implies_2 <-> (all X all Y is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y)))) # label(implies_2) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  6 implies_3 <-> (all X all Y all Z is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))) # label(implies_3) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  7 and_1 <-> (all X all Y is_a_theorem(implies(and(X,Y),X))) # label(and_1) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  8 and_2 <-> (all X all Y is_a_theorem(implies(and(X,Y),Y))) # label(and_2) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  9 and_3 <-> (all X all Y is_a_theorem(implies(X,implies(Y,and(X,Y))))) # label(and_3) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  10 or_1 <-> (all X all Y is_a_theorem(implies(X,or(X,Y)))) # label(or_1) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  11 or_2 <-> (all X all Y is_a_theorem(implies(Y,or(X,Y)))) # label(or_2) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  12 or_3 <-> (all X all Y all Z is_a_theorem(implies(implies(X,Z),implies(implies(Y,Z),implies(or(X,Y),Z))))) # label(or_3) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  13 equivalence_1 <-> (all X all Y is_a_theorem(implies(equiv(X,Y),implies(X,Y)))) # label(equivalence_1) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  14 equivalence_2 <-> (all X all Y is_a_theorem(implies(equiv(X,Y),implies(Y,X)))) # label(equivalence_2) # label(axiom) # label(non_clause).  [assumption].
% 1.45/1.74  15 equivalence_3 <-> (all X all Y is_a_theorem(implies(implies(X,Y),implies(implies(Y,X),equiv(X,Y))))) # label(equivalence_3) # label(axiom) # label(non_clause).  [assumption].
% 1.45/1.74  16 kn1 <-> (all P is_a_theorem(implies(P,and(P,P)))) # label(kn1) # label(axiom) # label(non_clause).  [assumption].
% 1.45/1.74  17 kn2 <-> (all P all Q is_a_theorem(implies(and(P,Q),P))) # label(kn2) # label(axiom) # label(non_clause).  [assumption].
% 1.45/1.74  18 kn3 <-> (all P all Q all R is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P)))))) # label(kn3) # label(axiom) # label(non_clause).  [assumption].
% 1.45/1.74  19 cn1 <-> (all P all Q all R is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R))))) # label(cn1) # label(axiom) # label(non_clause).  [assumption].
% 1.45/1.74  20 cn2 <-> (all P all Q is_a_theorem(implies(P,implies(not(P),Q)))) # label(cn2) # label(axiom) # label(non_clause).  [assumption].
% 1.45/1.74  21 cn3 <-> (all P is_a_theorem(implies(implies(not(P),P),P))) # label(cn3) # label(axiom) # label(non_clause).  [assumption].
% 1.45/1.74  22 r1 <-> (all P is_a_theorem(implies(or(P,P),P))) # label(r1) # label(axiom) # label(non_clause).  [assumption].
% 1.45/1.74  23 r2 <-> (all P all Q is_a_theorem(implies(Q,or(P,Q)))) # label(r2) # label(axiom) # label(non_clause).  [assumption].
% 1.45/1.74  24 r3 <-> (all P all Q is_a_theorem(implies(or(P,Q),or(Q,P)))) # label(r3) # label(axiom) # label(non_clause).  [assumption].
% 1.45/1.74  25 r4 <-> (all P all Q all R is_a_theorem(implies(or(P,or(Q,R)),or(Q,or(P,R))))) # label(r4) # label(axiom) # label(non_clause).  [assumption].
% 1.45/1.74  26 r5 <-> (all P all Q all R is_a_theorem(implies(implies(Q,R),implies(or(P,Q),or(P,R))))) # label(r5) # label(axiom) # label(non_clause).  [assumption].
% 1.45/1.74  27 op_or -> (all X all Y or(X,Y) = not(and(not(X),not(Y)))) # label(op_or) # label(axiom) # label(non_clause).  [assumption].
% 1.45/1.74  28 op_and -> (all X all Y and(X,Y) = not(or(not(X),not(Y)))) # label(op_and) # label(axiom) # label(non_clause).  [assumption].
% 1.45/1.74  29 op_implies_and -> (all X all Y implies(X,Y) = not(and(X,not(Y)))) # label(op_implies_and) # label(axiom) # label(non_clause).  [assumption].
% 1.45/1.74  30 op_implies_or -> (all X all Y implies(X,Y) = or(not(X),Y)) # label(op_implies_or) # label(axiom) # label(non_clause).  [assumption].
% 1.45/1.74  31 op_equiv -> (all X all Y equiv(X,Y) = and(implies(X,Y),implies(Y,X))) # label(op_equiv) # label(axiom) # label(non_clause).  [assumption].
% 1.45/1.74  
% 1.45/1.74  ============================== end of process non-clausal formulas ===
% 1.45/1.74  
% 1.45/1.74  ============================== PROCESS INITIAL CLAUSES ===============
% 1.45/1.74  
% 1.45/1.74  ============================== PREDICATE ELIMINATION =================
% 1.45/1.74  
% 1.45/1.74  ============================== end predicate elimination =============
% 1.45/1.74  
% 1.45/1.74  Auto_denials:  (non-Horn, no changes).
% 1.45/1.74  
% 1.45/1.74  Term ordering decisions:
% 1.45/1.74  
% 1.45/1.74  % Assigning unary symbol not kb_weight 0 and highest precedence (93).
% 1.45/1.74  Function symbol KB weights:  c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. c10=1. c11=1. c12=1. c13=1. c14=1. c15=1. c16=1. c17=1. c18=1. c19=1. c20=1. c21=1. c22=1. c23=1. c24=1. c25=1. c26=1. c27=1. c28=1. c29=1. c30=1. c31=1. c32=1. c33=1. c34=1. c35=1. c36=1. c37=1. c38=1. c39=1. c40=1. c41=1. c42=1. c43=1. c44=1. c45=1. c46=1. c47=1. c48=1. c49=1. c50=1. c51=1. c52=1. c53=1. c54=1. c55=1. implies=1. or=1. and=1. equiv=1. not=0.
% 1.45/1.74  
% 1.45/1.74  ============================== end of process initial clauses ========
% 1.45/1.74  
% 1.45/1.74  ============================== CLAUSES FOR SEARCH ====================
% 1.45/1.74  
% 1.45/1.74  ============================== end of clauses for search =============
% 1.45/1.74  
% 1.45/1.74  ============================== SEARCH ================================
% 1.45/1.74  
% 1.45/1.74  % Starting search at 0.02 seconds.
% 1.45/1.74  
% 1.45/1.74  Low Water (keep): wt=28.000, iters=3579
% 1.45/1.74  
% 1.45/1.74  Low Water (keep): wt=24.000, iters=3525
% 1.45/1.74  
% 1.45/1.74  Low Water (keep): wt=22.000, iters=3505
% 1.45/1.74  
% 1.45/1.74  Low Water (keep): wt=20.000, iters=3556
% 1.45/1.74  
% 1.45/1.74  Low Water (keep): wt=19.000, iters=3343
% 1.45/1.74  
% 1.45/1.74  Low Water (keep): wt=18.000, iters=3336
% 1.45/1.74  
% 1.45/1.74  Low Water (keep): wt=17.000, iters=3369
% 1.45/1.74  
% 1.45/1.74  Low Water (keep): wt=15.000, iters=3333
% 1.45/1.74  
% 1.45/1.74  Low Water (keep): wt=14.000, iters=3406
% 1.45/1.74  
% 1.45/1.74  Low Water (keep): wt=13.000, iters=3333
% 1.45/1.74  
% 300.01/300.33  Cputime limit exceeded (core dumped)
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