TSTP Solution File: KLE172+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : KLE172+1 : TPTP v8.1.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n027.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 13:00:55 EDT 2022
% Result : Timeout 299.87s 300.05s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KLE172+1 : TPTP v8.1.0. Released v5.5.0.
% 0.00/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n027.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 : 300
% 0.12/0.33 % DateTime : Wed Jul 27 06:42:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.71/1.92 ----- Otter 3.3f, August 2004 -----
% 1.71/1.92 The process was started by sandbox on n027.cluster.edu,
% 1.71/1.92 Wed Jul 27 06:42:06 2022
% 1.71/1.92 The command was "./otter". The process ID is 1491.
% 1.71/1.92
% 1.71/1.92 set(prolog_style_variables).
% 1.71/1.92 set(auto).
% 1.71/1.92 dependent: set(auto1).
% 1.71/1.92 dependent: set(process_input).
% 1.71/1.92 dependent: clear(print_kept).
% 1.71/1.92 dependent: clear(print_new_demod).
% 1.71/1.92 dependent: clear(print_back_demod).
% 1.71/1.92 dependent: clear(print_back_sub).
% 1.71/1.92 dependent: set(control_memory).
% 1.71/1.92 dependent: assign(max_mem, 12000).
% 1.71/1.92 dependent: assign(pick_given_ratio, 4).
% 1.71/1.92 dependent: assign(stats_level, 1).
% 1.71/1.92 dependent: assign(max_seconds, 10800).
% 1.71/1.92 clear(print_given).
% 1.71/1.92
% 1.71/1.92 formula_list(usable).
% 1.71/1.92 all A (A=A).
% 1.71/1.92 all A B (addition(A,B)=addition(B,A)).
% 1.71/1.92 all C B A (addition(A,addition(B,C))=addition(addition(A,B),C)).
% 1.71/1.92 all A (addition(A,zero)=A).
% 1.71/1.92 all A (addition(A,A)=A).
% 1.71/1.92 all A B C (multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C)).
% 1.71/1.92 all A (multiplication(A,one)=A).
% 1.71/1.92 all A (multiplication(one,A)=A).
% 1.71/1.92 all A B C (multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C))).
% 1.71/1.92 all A B C (multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C))).
% 1.71/1.92 all A (multiplication(A,zero)=zero).
% 1.71/1.92 all A (multiplication(zero,A)=zero).
% 1.71/1.92 all A B (le_q(A,B)<->addition(A,B)=B).
% 1.71/1.92 all A le_q(addition(one,multiplication(A,star(A))),star(A)).
% 1.71/1.92 all A le_q(addition(one,multiplication(star(A),A)),star(A)).
% 1.71/1.92 all A B C (le_q(addition(multiplication(A,B),C),B)->le_q(multiplication(star(A),C),B)).
% 1.71/1.92 all A B C (le_q(addition(multiplication(A,B),C),A)->le_q(multiplication(C,star(B)),A)).
% 1.71/1.92 sigma=addition(a,b).
% 1.71/1.92 -le_q(multiplication(a,multiplication(b,multiplication(b,multiplication(a,b)))),multiplication(star(sigma),multiplication(a,multiplication(sigma,a)))).
% 1.71/1.92 end_of_list.
% 1.71/1.92
% 1.71/1.92 -------> usable clausifies to:
% 1.71/1.92
% 1.71/1.92 list(usable).
% 1.71/1.92 0 [] A=A.
% 1.71/1.92 0 [] addition(A,B)=addition(B,A).
% 1.71/1.92 0 [] addition(A,addition(B,C))=addition(addition(A,B),C).
% 1.71/1.92 0 [] addition(A,zero)=A.
% 1.71/1.92 0 [] addition(A,A)=A.
% 1.71/1.92 0 [] multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C).
% 1.71/1.92 0 [] multiplication(A,one)=A.
% 1.71/1.92 0 [] multiplication(one,A)=A.
% 1.71/1.92 0 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.71/1.92 0 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.71/1.92 0 [] multiplication(A,zero)=zero.
% 1.71/1.92 0 [] multiplication(zero,A)=zero.
% 1.71/1.92 0 [] -le_q(A,B)|addition(A,B)=B.
% 1.71/1.92 0 [] le_q(A,B)|addition(A,B)!=B.
% 1.71/1.92 0 [] le_q(addition(one,multiplication(A,star(A))),star(A)).
% 1.71/1.92 0 [] le_q(addition(one,multiplication(star(A),A)),star(A)).
% 1.71/1.92 0 [] -le_q(addition(multiplication(A,B),C),B)|le_q(multiplication(star(A),C),B).
% 1.71/1.92 0 [] -le_q(addition(multiplication(A,B),C),A)|le_q(multiplication(C,star(B)),A).
% 1.71/1.92 0 [] sigma=addition(a,b).
% 1.71/1.92 0 [] -le_q(multiplication(a,multiplication(b,multiplication(b,multiplication(a,b)))),multiplication(star(sigma),multiplication(a,multiplication(sigma,a)))).
% 1.71/1.92 end_of_list.
% 1.71/1.92
% 1.71/1.92 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=2.
% 1.71/1.92
% 1.71/1.92 This is a Horn set with equality. The strategy will be
% 1.71/1.92 Knuth-Bendix and hyper_res, with positive clauses in
% 1.71/1.92 sos and nonpositive clauses in usable.
% 1.71/1.92
% 1.71/1.92 dependent: set(knuth_bendix).
% 1.71/1.92 dependent: set(anl_eq).
% 1.71/1.92 dependent: set(para_from).
% 1.71/1.92 dependent: set(para_into).
% 1.71/1.92 dependent: clear(para_from_right).
% 1.71/1.92 dependent: clear(para_into_right).
% 1.71/1.92 dependent: set(para_from_vars).
% 1.71/1.92 dependent: set(eq_units_both_ways).
% 1.71/1.92 dependent: set(dynamic_demod_all).
% 1.71/1.92 dependent: set(dynamic_demod).
% 1.71/1.92 dependent: set(order_eq).
% 1.71/1.92 dependent: set(back_demod).
% 1.71/1.92 dependent: set(lrpo).
% 1.71/1.92 dependent: set(hyper_res).
% 1.71/1.92 dependent: clear(order_hyper).
% 1.71/1.92
% 1.71/1.92 ------------> process usable:
% 1.71/1.92 ** KEPT (pick-wt=8): 1 [] -le_q(A,B)|addition(A,B)=B.
% 1.71/1.92 ** KEPT (pick-wt=8): 2 [] le_q(A,B)|addition(A,B)!=B.
% 1.71/1.92 ** KEPT (pick-wt=13): 3 [] -le_q(addition(multiplication(A,B),C),B)|le_q(multiplication(star(A),C),B).
% 1.71/1.92 ** KEPT (pick-wt=13): 4 [] -le_q(addition(multiplication(A,B),C),A)|le_q(multiplication(C,star(B)),A).
% 1.71/1.92 ** KEPT (pick-wt=18): 5 [] -le_q(multiplication(a,multiplication(b,multiplication(b,multiplication(a,b)))),multiplication(star(sigma),multiplication(a,Alarm clock
% 299.87/300.05 Otter interrupted
% 299.87/300.05 PROOF NOT FOUND
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