TSTP Solution File: KLE023+1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : KLE023+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n014.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 02:21:48 EDT 2022

% Result   : Timeout 300.03s 300.41s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KLE023+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun 16 10:39:35 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.43/0.99  ============================== Prover9 ===============================
% 0.43/0.99  Prover9 (32) version 2009-11A, November 2009.
% 0.43/0.99  Process 17696 was started by sandbox2 on n014.cluster.edu,
% 0.43/0.99  Thu Jun 16 10:39:36 2022
% 0.43/0.99  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_17525_n014.cluster.edu".
% 0.43/0.99  ============================== end of head ===========================
% 0.43/0.99  
% 0.43/0.99  ============================== INPUT =================================
% 0.43/0.99  
% 0.43/0.99  % Reading from file /tmp/Prover9_17525_n014.cluster.edu
% 0.43/0.99  
% 0.43/0.99  set(prolog_style_variables).
% 0.43/0.99  set(auto2).
% 0.43/0.99      % set(auto2) -> set(auto).
% 0.43/0.99      % set(auto) -> set(auto_inference).
% 0.43/0.99      % set(auto) -> set(auto_setup).
% 0.43/0.99      % set(auto_setup) -> set(predicate_elim).
% 0.43/0.99      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.43/0.99      % set(auto) -> set(auto_limits).
% 0.43/0.99      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.43/0.99      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.43/0.99      % set(auto) -> set(auto_denials).
% 0.43/0.99      % set(auto) -> set(auto_process).
% 0.43/0.99      % set(auto2) -> assign(new_constants, 1).
% 0.43/0.99      % set(auto2) -> assign(fold_denial_max, 3).
% 0.43/0.99      % set(auto2) -> assign(max_weight, "200.000").
% 0.43/0.99      % set(auto2) -> assign(max_hours, 1).
% 0.43/0.99      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.43/0.99      % set(auto2) -> assign(max_seconds, 0).
% 0.43/0.99      % set(auto2) -> assign(max_minutes, 5).
% 0.43/0.99      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.43/0.99      % set(auto2) -> set(sort_initial_sos).
% 0.43/0.99      % set(auto2) -> assign(sos_limit, -1).
% 0.43/0.99      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.43/0.99      % set(auto2) -> assign(max_megs, 400).
% 0.43/0.99      % set(auto2) -> assign(stats, some).
% 0.43/0.99      % set(auto2) -> clear(echo_input).
% 0.43/0.99      % set(auto2) -> set(quiet).
% 0.43/0.99      % set(auto2) -> clear(print_initial_clauses).
% 0.43/0.99      % set(auto2) -> clear(print_given).
% 0.43/0.99  assign(lrs_ticks,-1).
% 0.43/0.99  assign(sos_limit,10000).
% 0.43/0.99  assign(order,kbo).
% 0.43/0.99  set(lex_order_vars).
% 0.43/0.99  clear(print_given).
% 0.43/0.99  
% 0.43/0.99  % formulas(sos).  % not echoed (17 formulas)
% 0.43/0.99  
% 0.43/0.99  ============================== end of input ==========================
% 0.43/0.99  
% 0.43/0.99  % From the command line: assign(max_seconds, 300).
% 0.43/0.99  
% 0.43/0.99  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.43/0.99  
% 0.43/0.99  % Formulas that are not ordinary clauses:
% 0.43/0.99  1 (all A all B addition(A,B) = addition(B,A)) # label(additive_commutativity) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  2 (all C all B all A addition(A,addition(B,C)) = addition(addition(A,B),C)) # label(additive_associativity) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  3 (all A addition(A,zero) = A) # label(additive_identity) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  4 (all A addition(A,A) = A) # label(additive_idempotence) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  5 (all A all B all C multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C)) # label(multiplicative_associativity) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  6 (all A multiplication(A,one) = A) # label(multiplicative_right_identity) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  7 (all A multiplication(one,A) = A) # label(multiplicative_left_identity) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  8 (all A all B all C multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C))) # label(right_distributivity) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  9 (all A all B all C multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C))) # label(left_distributivity) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  10 (all A multiplication(A,zero) = zero) # label(right_annihilation) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  11 (all A multiplication(zero,A) = zero) # label(left_annihilation) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  12 (all A all B (leq(A,B) <-> addition(A,B) = B)) # label(order) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  13 (all X0 (test(X0) <-> (exists X1 complement(X1,X0)))) # label(test_1) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  14 (all X0 all X1 (complement(X1,X0) <-> multiplication(X0,X1) = zero & multiplication(X1,X0) = zero & addition(X0,X1) = one)) # label(test_2) # label(axiom) # label(non_clause).  [assumption].
% 2.74/3.06  15 (all X0 all X1 (test(X0) -> (c(X0) = X1 <-> complement(X0,X1)))) # label(test_3) # label(axiom) # label(non_clause).  [assumption].
% 2.74/3.06  16 (all X0 (-test(X0) -> c(X0) = zero)) # label(test_4) # label(axiom) # label(non_clause).  [assumption].
% 2.74/3.06  17 -(all X0 all X1 all X2 (test(X1) & test(X2) -> (addition(multiplication(X1,X0),multiplication(X0,X2)) = multiplication(X0,X2) -> addition(multiplication(X0,c(X2)),multiplication(c(X1),X0)) = multiplication(c(X1),X0)))) # label(goals) # label(negated_conjecture) # label(non_clause).  [assumption].
% 2.74/3.06  
% 2.74/3.06  ============================== end of process non-clausal formulas ===
% 2.74/3.06  
% 2.74/3.06  ============================== PROCESS INITIAL CLAUSES ===============
% 2.74/3.06  
% 2.74/3.06  ============================== PREDICATE ELIMINATION =================
% 2.74/3.06  18 -test(A) | complement(f1(A),A) # label(test_1) # label(axiom).  [clausify(13)].
% 2.74/3.06  19 test(c2) # label(goals) # label(negated_conjecture).  [clausify(17)].
% 2.74/3.06  20 test(c3) # label(goals) # label(negated_conjecture).  [clausify(17)].
% 2.74/3.06  21 test(A) | c(A) = zero # label(test_4) # label(axiom).  [clausify(16)].
% 2.74/3.06  22 test(A) | -complement(B,A) # label(test_1) # label(axiom).  [clausify(13)].
% 2.74/3.06  Derived: complement(f1(c2),c2).  [resolve(18,a,19,a)].
% 2.74/3.06  Derived: complement(f1(c3),c3).  [resolve(18,a,20,a)].
% 2.74/3.06  Derived: complement(f1(A),A) | c(A) = zero.  [resolve(18,a,21,a)].
% 2.74/3.06  Derived: complement(f1(A),A) | -complement(B,A).  [resolve(18,a,22,a)].
% 2.74/3.06  23 -test(A) | c(A) != B | complement(A,B) # label(test_3) # label(axiom).  [clausify(15)].
% 2.74/3.06  Derived: c(c2) != A | complement(c2,A).  [resolve(23,a,19,a)].
% 2.74/3.06  Derived: c(c3) != A | complement(c3,A).  [resolve(23,a,20,a)].
% 2.74/3.06  Derived: c(A) != B | complement(A,B) | c(A) = zero.  [resolve(23,a,21,a)].
% 2.74/3.06  Derived: c(A) != B | complement(A,B) | -complement(C,A).  [resolve(23,a,22,a)].
% 2.74/3.06  24 -test(A) | c(A) = B | -complement(A,B) # label(test_3) # label(axiom).  [clausify(15)].
% 2.74/3.06  Derived: c(c2) = A | -complement(c2,A).  [resolve(24,a,19,a)].
% 2.74/3.06  Derived: c(c3) = A | -complement(c3,A).  [resolve(24,a,20,a)].
% 2.74/3.06  Derived: c(A) = B | -complement(A,B) | c(A) = zero.  [resolve(24,a,21,a)].
% 2.74/3.06  Derived: c(A) = B | -complement(A,B) | -complement(C,A).  [resolve(24,a,22,a)].
% 2.74/3.06  25 leq(A,B) | addition(A,B) != B # label(order) # label(axiom).  [clausify(12)].
% 2.74/3.06  26 -leq(A,B) | addition(A,B) = B # label(order) # label(axiom).  [clausify(12)].
% 2.74/3.06  
% 2.74/3.06  ============================== end predicate elimination =============
% 2.74/3.06  
% 2.74/3.06  Auto_denials:  (non-Horn, no changes).
% 2.74/3.06  
% 2.74/3.06  Term ordering decisions:
% 2.74/3.06  Function symbol KB weights:  zero=1. one=1. c1=1. c2=1. c3=1. multiplication=1. addition=1. c=1. f1=1.
% 2.74/3.06  
% 2.74/3.06  ============================== end of process initial clauses ========
% 2.74/3.06  
% 2.74/3.06  ============================== CLAUSES FOR SEARCH ====================
% 2.74/3.06  
% 2.74/3.06  ============================== end of clauses for search =============
% 2.74/3.06  
% 2.74/3.06  ============================== SEARCH ================================
% 2.74/3.06  
% 2.74/3.06  % Starting search at 0.02 seconds.
% 2.74/3.06  
% 2.74/3.06  Low Water (keep): wt=74.000, iters=3346
% 2.74/3.06  
% 2.74/3.06  Low Water (keep): wt=68.000, iters=3456
% 2.74/3.06  
% 2.74/3.06  Low Water (keep): wt=67.000, iters=3401
% 2.74/3.06  
% 2.74/3.06  Low Water (keep): wt=64.000, iters=3381
% 2.74/3.06  
% 2.74/3.06  Low Water (keep): wt=58.000, iters=3418
% 2.74/3.06  
% 2.74/3.06  Low Water (keep): wt=55.000, iters=3351
% 2.74/3.06  
% 2.74/3.06  Low Water (keep): wt=54.000, iters=3415
% 2.74/3.06  
% 2.74/3.06  Low Water (keep): wt=52.000, iters=3360
% 2.74/3.06  
% 2.74/3.06  Low Water (keep): wt=48.000, iters=3389
% 2.74/3.06  
% 2.74/3.06  Low Water (keep): wt=46.000, iters=3353
% 2.74/3.06  
% 2.74/3.06  Low Water (keep): wt=44.000, iters=3336
% 2.74/3.06  
% 2.74/3.06  Low Water (keep): wt=43.000, iters=3392
% 2.74/3.06  
% 2.74/3.06  Low Water (keep): wt=42.000, iters=3346
% 2.74/3.06  
% 2.74/3.06  Low Water (keep): wt=40.000, iters=3345
% 2.74/3.06  
% 2.74/3.06  Low Water (keep): wt=38.000, iters=3335
% 2.74/3.06  
% 2.74/3.06  Low Water (keep): wt=37.000, iters=3345
% 2.74/3.06  
% 2.74/3.06  Low Water (keep): wt=36.000, iters=3408
% 2.74/3.06  
% 2.74/3.06  Low Water (keep): wt=35.000, iters=3368
% 2.74/3.06  
% 2.74/3.06  Low Water (keep): wt=33.000, iters=3360
% 2.74/3.06  
% 2.74/3.06  Low Water (keep): wt=32.000, iters=3356
% 2.74/3.06  
% 2.74/3.06  Low Water (keep): wt=31.000, iters=3356
% 2.74/3.06  
% 2.74/3.06  Low Water (keep): wt=30.000, iters=3352
% 2.74/3.06  
% 2.74/3.06  NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 93 (0.00 of 1.65 sec).
% 2.74/3.06  
% 2.74/3.06  Low Water (keep): wt=29.000, iters=3392
% 2.74/3.06  
% 2.74/3.06  Low Water (keep): wt=28.000, iters=3346
% 2.74/3.06  
% 2.74/3.06  Low Water (keep): wt=27.000, iters=3356
% 2.74/3.06  
% 2.74/3.06  Low Water (keep): wt=26.000, iters=3448
% 2.74/3.06  
% 2.74/3.06  Low Water (keep): wt=25.000, iters=3336
% 2.74/3.06  
% 2.74/3.06  Low Cputime limit exceeded (core dumped)
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