TSTP Solution File: KLE182+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : KLE182+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %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  : 300s
% DateTime : Wed Jul 27 13:00:56 EDT 2022

% Result   : Timeout 299.88s 300.05s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : KLE182+1 : TPTP v8.1.0. Released v6.4.0.
% 0.03/0.12  % Command  : otter-tptp-script %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  : 300
% 0.13/0.33  % DateTime : Wed Jul 27 05:53:33 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 1.71/1.90  ----- Otter 3.3f, August 2004 -----
% 1.71/1.90  The process was started by sandbox2 on n017.cluster.edu,
% 1.71/1.90  Wed Jul 27 05:53:33 2022
% 1.71/1.90  The command was "./otter".  The process ID is 5339.
% 1.71/1.90  
% 1.71/1.90  set(prolog_style_variables).
% 1.71/1.90  set(auto).
% 1.71/1.90     dependent: set(auto1).
% 1.71/1.90     dependent: set(process_input).
% 1.71/1.90     dependent: clear(print_kept).
% 1.71/1.90     dependent: clear(print_new_demod).
% 1.71/1.90     dependent: clear(print_back_demod).
% 1.71/1.90     dependent: clear(print_back_sub).
% 1.71/1.90     dependent: set(control_memory).
% 1.71/1.90     dependent: assign(max_mem, 12000).
% 1.71/1.90     dependent: assign(pick_given_ratio, 4).
% 1.71/1.90     dependent: assign(stats_level, 1).
% 1.71/1.90     dependent: assign(max_seconds, 10800).
% 1.71/1.90  clear(print_given).
% 1.71/1.90  
% 1.71/1.90  formula_list(usable).
% 1.71/1.90  all A (A=A).
% 1.71/1.90  all A B (addition(A,B)=addition(B,A)).
% 1.71/1.90  all C B A (addition(A,addition(B,C))=addition(addition(A,B),C)).
% 1.71/1.90  all A (addition(A,zero)=A).
% 1.71/1.90  all A (addition(A,A)=A).
% 1.71/1.90  all A B C (multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C)).
% 1.71/1.90  all A (multiplication(A,one)=A).
% 1.71/1.90  all A (multiplication(one,A)=A).
% 1.71/1.90  all A B C (multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C))).
% 1.71/1.90  all A B C (multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C))).
% 1.71/1.90  all A (multiplication(zero,A)=zero).
% 1.71/1.90  all A (addition(one,multiplication(A,star(A)))=star(A)).
% 1.71/1.90  all A (addition(one,multiplication(star(A),A))=star(A)).
% 1.71/1.90  all A B C (le_q(addition(multiplication(A,C),B),C)->le_q(multiplication(star(A),B),C)).
% 1.71/1.90  all A B C (le_q(addition(multiplication(C,A),B),C)->le_q(multiplication(B,star(A)),C)).
% 1.71/1.90  all A (strong_iteration(A)=addition(multiplication(A,strong_iteration(A)),one)).
% 1.71/1.90  all A B C (le_q(C,addition(multiplication(A,C),B))->le_q(C,multiplication(strong_iteration(A),B))).
% 1.71/1.90  all A (strong_iteration(A)=addition(star(A),multiplication(strong_iteration(A),zero))).
% 1.71/1.90  all A B (le_q(A,B)<->addition(A,B)=B).
% 1.71/1.90  end_of_list.
% 1.71/1.90  
% 1.71/1.90  -------> usable clausifies to:
% 1.71/1.90  
% 1.71/1.90  list(usable).
% 1.71/1.90  0 [] A=A.
% 1.71/1.90  0 [] addition(A,B)=addition(B,A).
% 1.71/1.90  0 [] addition(A,addition(B,C))=addition(addition(A,B),C).
% 1.71/1.90  0 [] addition(A,zero)=A.
% 1.71/1.90  0 [] addition(A,A)=A.
% 1.71/1.90  0 [] multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C).
% 1.71/1.90  0 [] multiplication(A,one)=A.
% 1.71/1.90  0 [] multiplication(one,A)=A.
% 1.71/1.90  0 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.71/1.90  0 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.71/1.90  0 [] multiplication(zero,A)=zero.
% 1.71/1.90  0 [] addition(one,multiplication(A,star(A)))=star(A).
% 1.71/1.90  0 [] addition(one,multiplication(star(A),A))=star(A).
% 1.71/1.90  0 [] -le_q(addition(multiplication(A,C),B),C)|le_q(multiplication(star(A),B),C).
% 1.71/1.90  0 [] -le_q(addition(multiplication(C,A),B),C)|le_q(multiplication(B,star(A)),C).
% 1.71/1.90  0 [] strong_iteration(A)=addition(multiplication(A,strong_iteration(A)),one).
% 1.71/1.90  0 [] -le_q(C,addition(multiplication(A,C),B))|le_q(C,multiplication(strong_iteration(A),B)).
% 1.71/1.90  0 [] strong_iteration(A)=addition(star(A),multiplication(strong_iteration(A),zero)).
% 1.71/1.90  0 [] -le_q(A,B)|addition(A,B)=B.
% 1.71/1.90  0 [] le_q(A,B)|addition(A,B)!=B.
% 1.71/1.90  end_of_list.
% 1.71/1.90  
% 1.71/1.90  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=2.
% 1.71/1.90  
% 1.71/1.90  This is a Horn set with equality.  The strategy will be
% 1.71/1.90  Knuth-Bendix and hyper_res, with positive clauses in
% 1.71/1.90  sos and nonpositive clauses in usable.
% 1.71/1.90  
% 1.71/1.90     dependent: set(knuth_bendix).
% 1.71/1.90     dependent: set(anl_eq).
% 1.71/1.90     dependent: set(para_from).
% 1.71/1.90     dependent: set(para_into).
% 1.71/1.90     dependent: clear(para_from_right).
% 1.71/1.90     dependent: clear(para_into_right).
% 1.71/1.90     dependent: set(para_from_vars).
% 1.71/1.90     dependent: set(eq_units_both_ways).
% 1.71/1.90     dependent: set(dynamic_demod_all).
% 1.71/1.90     dependent: set(dynamic_demod).
% 1.71/1.90     dependent: set(order_eq).
% 1.71/1.90     dependent: set(back_demod).
% 1.71/1.90     dependent: set(lrpo).
% 1.71/1.90     dependent: set(hyper_res).
% 1.71/1.90     dependent: clear(order_hyper).
% 1.71/1.90  
% 1.71/1.90  ------------> process usable:
% 1.71/1.90  ** KEPT (pick-wt=13): 1 [] -le_q(addition(multiplication(A,B),C),B)|le_q(multiplication(star(A),C),B).
% 1.71/1.90  ** KEPT (pick-wt=13): 2 [] -le_q(addition(multiplication(A,B),C),A)|le_q(multiplication(C,star(B)),A).
% 1.71/1.90  ** KEPT (pick-wt=13): 3 [] -le_q(A,addition(multiplication(B,A),C))|le_q(A,multiplication(strong_iteration(B),C)).
% 1.71/1.90  ** KEPT (pick-wt=8): 4 [] -le_q(A,B)|addition(A,B)=B.
% 1.71/1.90  ** KEPT (piAlarm clock 
% 299.88/300.05  Otter interrupted
% 299.88/300.05  PROOF NOT FOUND
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