TSTP Solution File: KLE126+1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : KLE126+1 : TPTP v8.1.0. Released v4.0.0.
% 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 02:22:21 EDT 2022

% Result   : Timeout 300.01s 300.36s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : KLE126+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.33  % Computer : n007.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 : Thu Jun 16 14:13:41 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.68/0.98  ============================== Prover9 ===============================
% 0.68/0.98  Prover9 (32) version 2009-11A, November 2009.
% 0.68/0.98  Process 9888 was started by sandbox on n007.cluster.edu,
% 0.68/0.98  Thu Jun 16 14:13:42 2022
% 0.68/0.98  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_9735_n007.cluster.edu".
% 0.68/0.98  ============================== end of head ===========================
% 0.68/0.98  
% 0.68/0.98  ============================== INPUT =================================
% 0.68/0.98  
% 0.68/0.98  % Reading from file /tmp/Prover9_9735_n007.cluster.edu
% 0.68/0.98  
% 0.68/0.98  set(prolog_style_variables).
% 0.68/0.98  set(auto2).
% 0.68/0.98      % set(auto2) -> set(auto).
% 0.68/0.98      % set(auto) -> set(auto_inference).
% 0.68/0.98      % set(auto) -> set(auto_setup).
% 0.68/0.98      % set(auto_setup) -> set(predicate_elim).
% 0.68/0.98      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.68/0.98      % set(auto) -> set(auto_limits).
% 0.68/0.98      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.68/0.98      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.68/0.98      % set(auto) -> set(auto_denials).
% 0.68/0.98      % set(auto) -> set(auto_process).
% 0.68/0.98      % set(auto2) -> assign(new_constants, 1).
% 0.68/0.98      % set(auto2) -> assign(fold_denial_max, 3).
% 0.68/0.98      % set(auto2) -> assign(max_weight, "200.000").
% 0.68/0.98      % set(auto2) -> assign(max_hours, 1).
% 0.68/0.98      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.68/0.98      % set(auto2) -> assign(max_seconds, 0).
% 0.68/0.98      % set(auto2) -> assign(max_minutes, 5).
% 0.68/0.98      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.68/0.98      % set(auto2) -> set(sort_initial_sos).
% 0.68/0.98      % set(auto2) -> assign(sos_limit, -1).
% 0.68/0.98      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.68/0.98      % set(auto2) -> assign(max_megs, 400).
% 0.68/0.98      % set(auto2) -> assign(stats, some).
% 0.68/0.98      % set(auto2) -> clear(echo_input).
% 0.68/0.98      % set(auto2) -> set(quiet).
% 0.68/0.98      % set(auto2) -> clear(print_initial_clauses).
% 0.68/0.98      % set(auto2) -> clear(print_given).
% 0.68/0.98  assign(lrs_ticks,-1).
% 0.68/0.98  assign(sos_limit,10000).
% 0.68/0.98  assign(order,kbo).
% 0.68/0.98  set(lex_order_vars).
% 0.68/0.98  clear(print_given).
% 0.68/0.98  
% 0.68/0.98  % formulas(sos).  % not echoed (29 formulas)
% 0.68/0.98  
% 0.68/0.98  ============================== end of input ==========================
% 0.68/0.98  
% 0.68/0.98  % From the command line: assign(max_seconds, 300).
% 0.68/0.98  
% 0.68/0.98  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.68/0.98  
% 0.68/0.98  % Formulas that are not ordinary clauses:
% 0.68/0.98  1 (all A all B addition(A,B) = addition(B,A)) # label(additive_commutativity) # label(axiom) # label(non_clause).  [assumption].
% 0.68/0.98  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].
% 0.68/0.98  3 (all A addition(A,zero) = A) # label(additive_identity) # label(axiom) # label(non_clause).  [assumption].
% 0.68/0.98  4 (all A addition(A,A) = A) # label(additive_idempotence) # label(axiom) # label(non_clause).  [assumption].
% 0.68/0.98  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].
% 0.68/0.98  6 (all A multiplication(A,one) = A) # label(multiplicative_right_identity) # label(axiom) # label(non_clause).  [assumption].
% 0.68/0.98  7 (all A multiplication(one,A) = A) # label(multiplicative_left_identity) # label(axiom) # label(non_clause).  [assumption].
% 0.68/0.98  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].
% 0.68/0.98  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].
% 0.68/0.98  10 (all A multiplication(A,zero) = zero) # label(right_annihilation) # label(axiom) # label(non_clause).  [assumption].
% 0.68/0.98  11 (all A multiplication(zero,A) = zero) # label(left_annihilation) # label(axiom) # label(non_clause).  [assumption].
% 0.68/0.98  12 (all A all B (leq(A,B) <-> addition(A,B) = B)) # label(order) # label(axiom) # label(non_clause).  [assumption].
% 0.68/0.98  13 (all X0 multiplication(antidomain(X0),X0) = zero) # label(domain1) # label(axiom) # label(non_clause).  [assumption].
% 0.68/0.98  14 (all X0 all X1 addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1))))) # label(domain2) # label(axiom) # label(non_clause).  [assumption].
% 1.95/2.29  15 (all X0 addition(antidomain(antidomain(X0)),antidomain(X0)) = one) # label(domain3) # label(axiom) # label(non_clause).  [assumption].
% 1.95/2.29  16 (all X0 domain(X0) = antidomain(antidomain(X0))) # label(domain4) # label(axiom) # label(non_clause).  [assumption].
% 1.95/2.29  17 (all X0 multiplication(X0,coantidomain(X0)) = zero) # label(codomain1) # label(axiom) # label(non_clause).  [assumption].
% 1.95/2.29  18 (all X0 all X1 addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) # label(codomain2) # label(axiom) # label(non_clause).  [assumption].
% 1.95/2.29  19 (all X0 addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one) # label(codomain3) # label(axiom) # label(non_clause).  [assumption].
% 1.95/2.29  20 (all X0 codomain(X0) = coantidomain(coantidomain(X0))) # label(codomain4) # label(axiom) # label(non_clause).  [assumption].
% 1.95/2.29  21 (all X0 c(X0) = antidomain(domain(X0))) # label(complement) # label(axiom) # label(non_clause).  [assumption].
% 1.95/2.29  22 (all X0 all X1 domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1))) # label(domain_difference) # label(axiom) # label(non_clause).  [assumption].
% 1.95/2.29  23 (all X0 all X1 forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1)))) # label(forward_diamond) # label(axiom) # label(non_clause).  [assumption].
% 1.95/2.29  24 (all X0 all X1 backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0))) # label(backward_diamond) # label(axiom) # label(non_clause).  [assumption].
% 1.95/2.29  25 (all X0 all X1 forward_box(X0,X1) = c(forward_diamond(X0,c(X1)))) # label(forward_box) # label(axiom) # label(non_clause).  [assumption].
% 1.95/2.29  26 (all X0 all X1 backward_box(X0,X1) = c(backward_diamond(X0,c(X1)))) # label(backward_box) # label(axiom) # label(non_clause).  [assumption].
% 1.95/2.29  27 (all X0 forward_diamond(X0,divergence(X0)) = divergence(X0)) # label(divergence1) # label(axiom) # label(non_clause).  [assumption].
% 1.95/2.29  28 (all X0 all X1 all X2 (addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2))) = addition(forward_diamond(X1,domain(X0)),domain(X2)) -> addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2)))) = addition(divergence(X1),forward_diamond(star(X1),domain(X2))))) # label(divergence2) # label(axiom) # label(non_clause).  [assumption].
% 1.95/2.29  29 -(all X0 all X1 (addition(multiplication(X0,X1),multiplication(X1,star(addition(X1,X0)))) = addition(multiplication(X1,star(addition(X1,X0))),X0) -> (divergence(addition(X1,X0)) = zero <-> addition(divergence(X1),divergence(X0)) = zero))) # label(goals) # label(negated_conjecture) # label(non_clause).  [assumption].
% 1.95/2.29  
% 1.95/2.29  ============================== end of process non-clausal formulas ===
% 1.95/2.29  
% 1.95/2.29  ============================== PROCESS INITIAL CLAUSES ===============
% 1.95/2.29  
% 1.95/2.29  ============================== PREDICATE ELIMINATION =================
% 1.95/2.29  30 leq(A,B) | addition(A,B) != B # label(order) # label(axiom).  [clausify(12)].
% 1.95/2.29  31 -leq(A,B) | addition(A,B) = B # label(order) # label(axiom).  [clausify(12)].
% 1.95/2.29  
% 1.95/2.29  ============================== end predicate elimination =============
% 1.95/2.29  
% 1.95/2.29  Auto_denials:  (non-Horn, no changes).
% 1.95/2.29  
% 1.95/2.29  Term ordering decisions:
% 1.95/2.29  Function symbol KB weights:  zero=1. one=1. c1=1. c2=1. addition=1. multiplication=1. forward_diamond=1. backward_diamond=1. backward_box=1. domain_difference=1. forward_box=1. antidomain=1. coantidomain=1. domain=1. divergence=1. c=1. star=1. codomain=1.
% 1.95/2.29  
% 1.95/2.29  ============================== end of process initial clauses ========
% 1.95/2.29  
% 1.95/2.29  ============================== CLAUSES FOR SEARCH ====================
% 1.95/2.29  
% 1.95/2.29  ============================== end of clauses for search =============
% 1.95/2.29  
% 1.95/2.29  ============================== SEARCH ================================
% 1.95/2.29  
% 1.95/2.29  % Starting search at 0.02 seconds.
% 1.95/2.29  
% 1.95/2.29  Low Water (keep): wt=40.000, iters=3355
% 1.95/2.29  
% 1.95/2.29  Low Water (keep): wt=38.000, iters=3345
% 1.95/2.29  
% 1.95/2.29  Low Water (keep): wt=34.000, iters=3349
% 1.95/2.29  
% 1.95/2.29  Low Water (keep): wt=32.000, iters=3341
% 1.95/2.29  
% 1.95/2.29  Low Water (keep): wt=31.000, iters=3353
% 1.95/2.29  
% 1.95/2.29  Low Water (keep): wt=30.000, iters=3345
% 1.95/2.29  
% 1.95/2.29  Low Water (keep): wt=28.000, itCputime limit exceeded (core dumped)
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