TSTP Solution File: KLE157+2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : KLE157+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n016.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 13:00:53 EDT 2022
% Result : Timeout 299.84s 300.01s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KLE157+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n016.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 06:54:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.69/1.91 ----- Otter 3.3f, August 2004 -----
% 1.69/1.91 The process was started by sandbox on n016.cluster.edu,
% 1.69/1.91 Wed Jul 27 06:54:52 2022
% 1.69/1.91 The command was "./otter". The process ID is 17137.
% 1.69/1.91
% 1.69/1.91 set(prolog_style_variables).
% 1.69/1.91 set(auto).
% 1.69/1.91 dependent: set(auto1).
% 1.69/1.91 dependent: set(process_input).
% 1.69/1.91 dependent: clear(print_kept).
% 1.69/1.91 dependent: clear(print_new_demod).
% 1.69/1.91 dependent: clear(print_back_demod).
% 1.69/1.91 dependent: clear(print_back_sub).
% 1.69/1.91 dependent: set(control_memory).
% 1.69/1.91 dependent: assign(max_mem, 12000).
% 1.69/1.91 dependent: assign(pick_given_ratio, 4).
% 1.69/1.91 dependent: assign(stats_level, 1).
% 1.69/1.91 dependent: assign(max_seconds, 10800).
% 1.69/1.91 clear(print_given).
% 1.69/1.91
% 1.69/1.91 formula_list(usable).
% 1.69/1.91 all A (A=A).
% 1.69/1.91 all A B (addition(A,B)=addition(B,A)).
% 1.69/1.91 all C B A (addition(A,addition(B,C))=addition(addition(A,B),C)).
% 1.69/1.91 all A (addition(A,zero)=A).
% 1.69/1.91 all A (addition(A,A)=A).
% 1.69/1.91 all A B C (multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C)).
% 1.69/1.91 all A (multiplication(A,one)=A).
% 1.69/1.91 all A (multiplication(one,A)=A).
% 1.69/1.91 all A B C (multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C))).
% 1.69/1.91 all A B C (multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C))).
% 1.69/1.91 all A (multiplication(zero,A)=zero).
% 1.69/1.91 all A (addition(one,multiplication(A,star(A)))=star(A)).
% 1.69/1.91 all A (addition(one,multiplication(star(A),A))=star(A)).
% 1.69/1.91 all A B C (le_q(addition(multiplication(A,C),B),C)->le_q(multiplication(star(A),B),C)).
% 1.69/1.91 all A B C (le_q(addition(multiplication(C,A),B),C)->le_q(multiplication(B,star(A)),C)).
% 1.69/1.91 all A (strong_iteration(A)=addition(multiplication(A,strong_iteration(A)),one)).
% 1.69/1.91 all A B C (le_q(C,addition(multiplication(A,C),B))->le_q(C,multiplication(strong_iteration(A),B))).
% 1.69/1.91 all A (strong_iteration(A)=addition(star(A),multiplication(strong_iteration(A),zero))).
% 1.69/1.91 all A B (le_q(A,B)<->addition(A,B)=B).
% 1.69/1.91 -(all X0 X1 ((le_q(multiplication(X0,X1),multiplication(X1,X0))->le_q(strong_iteration(addition(X1,X0)),multiplication(strong_iteration(X1),strong_iteration(X0))))&le_q(multiplication(strong_iteration(X1),strong_iteration(X0)),strong_iteration(addition(X1,X0))))).
% 1.69/1.91 end_of_list.
% 1.69/1.91
% 1.69/1.91 -------> usable clausifies to:
% 1.69/1.91
% 1.69/1.91 list(usable).
% 1.69/1.91 0 [] A=A.
% 1.69/1.91 0 [] addition(A,B)=addition(B,A).
% 1.69/1.91 0 [] addition(A,addition(B,C))=addition(addition(A,B),C).
% 1.69/1.91 0 [] addition(A,zero)=A.
% 1.69/1.91 0 [] addition(A,A)=A.
% 1.69/1.91 0 [] multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C).
% 1.69/1.91 0 [] multiplication(A,one)=A.
% 1.69/1.91 0 [] multiplication(one,A)=A.
% 1.69/1.91 0 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.69/1.91 0 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.69/1.91 0 [] multiplication(zero,A)=zero.
% 1.69/1.91 0 [] addition(one,multiplication(A,star(A)))=star(A).
% 1.69/1.91 0 [] addition(one,multiplication(star(A),A))=star(A).
% 1.69/1.91 0 [] -le_q(addition(multiplication(A,C),B),C)|le_q(multiplication(star(A),B),C).
% 1.69/1.91 0 [] -le_q(addition(multiplication(C,A),B),C)|le_q(multiplication(B,star(A)),C).
% 1.69/1.91 0 [] strong_iteration(A)=addition(multiplication(A,strong_iteration(A)),one).
% 1.69/1.91 0 [] -le_q(C,addition(multiplication(A,C),B))|le_q(C,multiplication(strong_iteration(A),B)).
% 1.69/1.91 0 [] strong_iteration(A)=addition(star(A),multiplication(strong_iteration(A),zero)).
% 1.69/1.91 0 [] -le_q(A,B)|addition(A,B)=B.
% 1.69/1.91 0 [] le_q(A,B)|addition(A,B)!=B.
% 1.69/1.91 0 [] le_q(multiplication($c2,$c1),multiplication($c1,$c2))| -le_q(multiplication(strong_iteration($c1),strong_iteration($c2)),strong_iteration(addition($c1,$c2))).
% 1.69/1.91 0 [] -le_q(strong_iteration(addition($c1,$c2)),multiplication(strong_iteration($c1),strong_iteration($c2)))| -le_q(multiplication(strong_iteration($c1),strong_iteration($c2)),strong_iteration(addition($c1,$c2))).
% 1.69/1.91 end_of_list.
% 1.69/1.91
% 1.69/1.91 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=2.
% 1.69/1.91
% 1.69/1.91 This is a Horn set with equality. The strategy will be
% 1.69/1.91 Knuth-Bendix and hyper_res, with positive clauses in
% 1.69/1.91 sos and nonpositive clauses in usable.
% 1.69/1.91
% 1.69/1.91 dependent: set(knuth_bendix).
% 1.69/1.91 dependent: set(anl_eq).
% 1.69/1.91 dependent: set(para_from).
% 1.69/1.91 dependent: set(para_into).
% 1.69/1.91 dependent: clear(para_from_right).
% 1.69/1.91 dependent: clear(para_into_right).
% 1.69/1.91 dependent: set(para_from_vars).
% 1.69/1.91 dependent: set(eq_units_both_ways).
% 1.69/1.91 dependent: set(dynamic_demod_all).
% 1.69/1.91 dependent: set(dynamic_demod).
% 1.69/1.91 dependent: set(order_eq).
% 1.69/1.91 dependent: set(back_demod).
% 1.69/1.91 dependent: set(lrpo).
% 1.69/1.91 dependent: set(hyper_res).
% 1.69/1.91 dependent: clear(order_hyper).
% 1.69/1.91
% 1.69/1.91 ------------> process usable:
% 1.69/1.91 ** KEPT (pick-wt=13): 1 [] -le_q(addition(multiplication(A,B),C),B)|le_q(multiplication(star(A),C),B).
% 1.69/1.91 ** KEPT (pick-wt=13): 2 [] -le_q(addition(multiplication(A,B),C),A)|le_q(multiplication(C,star(B)),A).
% 1.69/1.91 ** KEPT (pick-wt=13): 3 [] -le_q(A,addition(multiplication(B,A),C))|le_q(A,multiplication(strong_iteration(B),C)).
% 1.69/1.91 ** KEPT (pick-wt=8): 4 [] -le_q(A,B)|addition(A,B)=B.
% 1.69/1.91 ** KEPT (pick-wt=8): 5 [] le_q(A,B)|addition(A,B)!=B.
% 1.69/1.91 ** KEPT (pick-wt=17): 6 [] le_q(multiplication($c2,$c1),multiplication($c1,$c2))| -le_q(multiplication(strong_iteration($c1),strong_iteration($c2)),strong_iteration(addition($c1,$c2))).
% 1.69/1.91 ** KEPT (pick-wt=20): 7 [] -le_q(strong_iteration(addition($c1,$c2)),multiplication(strong_iteration($c1),strong_iteration($c2)))| -le_q(multiplication(strong_iteration($c1),strong_iteration($c2)),strong_iteration(addition($c1,$c2))).
% 1.69/1.91
% 1.69/1.91 ------------> process sos:
% 1.69/1.91 ** KEPT (pick-wt=3): 8 [] A=A.
% 1.69/1.91 ** KEPT (pick-wt=7): 9 [] addition(A,B)=addition(B,A).
% 1.69/1.91 ** KEPT (pick-wt=11): 11 [copy,10,flip.1] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 1.69/1.91 ---> New Demodulator: 12 [new_demod,11] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 1.69/1.91 ** KEPT (pick-wt=5): 13 [] addition(A,zero)=A.
% 1.69/1.91 ---> New Demodulator: 14 [new_demod,13] addition(A,zero)=A.
% 1.69/1.91 ** KEPT (pick-wt=5): 15 [] addition(A,A)=A.
% 1.69/1.91 ---> New Demodulator: 16 [new_demod,15] addition(A,A)=A.
% 1.69/1.91 ** KEPT (pick-wt=11): 18 [copy,17,flip.1] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 1.69/1.91 ---> New Demodulator: 19 [new_demod,18] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 1.69/1.91 ** KEPT (pick-wt=5): 20 [] multiplication(A,one)=A.
% 1.69/1.91 ---> New Demodulator: 21 [new_demod,20] multiplication(A,one)=A.
% 1.69/1.91 ** KEPT (pick-wt=5): 22 [] multiplication(one,A)=A.
% 1.69/1.91 ---> New Demodulator: 23 [new_demod,22] multiplication(one,A)=A.
% 1.69/1.91 ** KEPT (pick-wt=13): 24 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.69/1.91 ---> New Demodulator: 25 [new_demod,24] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.69/1.91 ** KEPT (pick-wt=13): 26 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.69/1.91 ---> New Demodulator: 27 [new_demod,26] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.69/1.91 ** KEPT (pick-wt=5): 28 [] multiplication(zero,A)=zero.
% 1.69/1.91 ---> New Demodulator: 29 [new_demod,28] multiplication(zero,A)=zero.
% 1.69/1.91 ** KEPT (pick-wt=9): 30 [] addition(one,multiplication(A,star(A)))=star(A).
% 1.69/1.91 ---> New Demodulator: 31 [new_demod,30] addition(one,multiplication(A,star(A)))=star(A).
% 1.69/1.91 ** KEPT (pick-wt=9): 32 [] addition(one,multiplication(star(A),A))=star(A).
% 1.69/1.91 ---> New Demodulator: 33 [new_demod,32] addition(one,multiplication(star(A),A))=star(A).
% 1.69/1.91 ** KEPT (pick-wt=9): 35 [copy,34,flip.1] addition(multiplication(A,strong_iteration(A)),one)=strong_iteration(A).
% 1.69/1.91 ---> New Demodulator: 36 [new_demod,35] addition(multiplication(A,strong_iteration(A)),one)=strong_iteration(A).
% 1.69/1.91 ** KEPT (pick-wt=10): 38 [copy,37,flip.1] addition(star(A),multiplication(strong_iteration(A),zero))=strong_iteration(A).
% 1.69/1.91 ---> New Demodulator: 39 [new_demod,38] addition(star(A),multiplication(strong_iteration(A),zero))=strong_iteration(A).
% 1.69/1.91 Following clause subsumed by 8 during input processing: 0 [copy,8,flip.1] A=A.
% 1.69/1.91 Following clause subsumed by 9 during input processing: 0 [copy,9,flip.1] addition(A,B)=addition(B,A).
% 1.69/1.91 >>>> Starting back demodulation with 12.
% 1.69/1.91 >>>> Starting back demodulation with 14.
% 1.69/1.91 >>>> Starting back demodulation with 16.
% 1.69/1.91 >>>> Starting back demodulation with 19.
% 1.69/1.91 >>>> Starting back demodulation with 21.
% 1.69/1.91 >>>> Starting back demodulation with 23.
% 1.69/1.91 >>>> Starting back demodulation with 25.
% 1.69/1.91 >>>> Starting back demodulation with 27.
% 1.69/1.91 >>>> Starting back demodulation with 29.
% 1.69/1.91 >>>> Starting back demodulation with 31.
% 1.69/1.91 >>>> Starting back demAlarm clock
% 299.84/300.01 Otter interrupted
% 299.84/300.01 PROOF NOT FOUND
%------------------------------------------------------------------------------