TSTP Solution File: KLE161+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : KLE161+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n020.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 : Unknown 7.73s 7.89s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE161+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 06:35:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.64/2.23 ----- Otter 3.3f, August 2004 -----
% 1.64/2.23 The process was started by sandbox on n020.cluster.edu,
% 1.64/2.23 Wed Jul 27 06:35:23 2022
% 1.64/2.23 The command was "./otter". The process ID is 29691.
% 1.64/2.23
% 1.64/2.23 set(prolog_style_variables).
% 1.64/2.23 set(auto).
% 1.64/2.23 dependent: set(auto1).
% 1.64/2.23 dependent: set(process_input).
% 1.64/2.23 dependent: clear(print_kept).
% 1.64/2.23 dependent: clear(print_new_demod).
% 1.64/2.23 dependent: clear(print_back_demod).
% 1.64/2.23 dependent: clear(print_back_sub).
% 1.64/2.23 dependent: set(control_memory).
% 1.64/2.23 dependent: assign(max_mem, 12000).
% 1.64/2.23 dependent: assign(pick_given_ratio, 4).
% 1.64/2.23 dependent: assign(stats_level, 1).
% 1.64/2.23 dependent: assign(max_seconds, 10800).
% 1.64/2.23 clear(print_given).
% 1.64/2.23
% 1.64/2.23 formula_list(usable).
% 1.64/2.23 all A (A=A).
% 1.64/2.23 all A B (addition(A,B)=addition(B,A)).
% 1.64/2.23 all C B A (addition(A,addition(B,C))=addition(addition(A,B),C)).
% 1.64/2.23 all A (addition(A,zero)=A).
% 1.64/2.23 all A (addition(A,A)=A).
% 1.64/2.23 all A B C (multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C)).
% 1.64/2.23 all A (multiplication(A,one)=A).
% 1.64/2.23 all A (multiplication(one,A)=A).
% 1.64/2.23 all A B C (multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C))).
% 1.64/2.23 all A B C (multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C))).
% 1.64/2.23 all A (multiplication(zero,A)=zero).
% 1.64/2.23 all A (addition(one,multiplication(A,star(A)))=star(A)).
% 1.64/2.23 all A (addition(one,multiplication(star(A),A))=star(A)).
% 1.64/2.23 all A B C (le_q(addition(multiplication(A,C),B),C)->le_q(multiplication(star(A),B),C)).
% 1.64/2.23 all A B C (le_q(addition(multiplication(C,A),B),C)->le_q(multiplication(B,star(A)),C)).
% 1.64/2.23 all A (strong_iteration(A)=addition(multiplication(A,strong_iteration(A)),one)).
% 1.64/2.23 all A B C (le_q(C,addition(multiplication(A,C),B))->le_q(C,multiplication(strong_iteration(A),B))).
% 1.64/2.23 all A (strong_iteration(A)=addition(star(A),multiplication(strong_iteration(A),zero))).
% 1.64/2.23 all A B (le_q(A,B)<->addition(A,B)=B).
% 1.64/2.23 -(all X0 X1 X2 X3 X4 X5 X6 X7 (strong_iteration(X7)=star(X7)&le_q(multiplication(X0,X6),multiplication(X5,X0))&le_q(multiplication(X0,X7),X0)&le_q(X2,multiplication(X1,X0))&le_q(multiplication(X0,X4),X3)->le_q(multiplication(X2,multiplication(strong_iteration(addition(X6,X7)),X4)),multiplication(X1,multiplication(strong_iteration(X5),X3))))).
% 1.64/2.23 end_of_list.
% 1.64/2.23
% 1.64/2.23 -------> usable clausifies to:
% 1.64/2.23
% 1.64/2.23 list(usable).
% 1.64/2.23 0 [] A=A.
% 1.64/2.23 0 [] addition(A,B)=addition(B,A).
% 1.64/2.23 0 [] addition(A,addition(B,C))=addition(addition(A,B),C).
% 1.64/2.23 0 [] addition(A,zero)=A.
% 1.64/2.23 0 [] addition(A,A)=A.
% 1.64/2.23 0 [] multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C).
% 1.64/2.23 0 [] multiplication(A,one)=A.
% 1.64/2.23 0 [] multiplication(one,A)=A.
% 1.64/2.23 0 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.64/2.23 0 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.64/2.23 0 [] multiplication(zero,A)=zero.
% 1.64/2.23 0 [] addition(one,multiplication(A,star(A)))=star(A).
% 1.64/2.23 0 [] addition(one,multiplication(star(A),A))=star(A).
% 1.64/2.23 0 [] -le_q(addition(multiplication(A,C),B),C)|le_q(multiplication(star(A),B),C).
% 1.64/2.23 0 [] -le_q(addition(multiplication(C,A),B),C)|le_q(multiplication(B,star(A)),C).
% 1.64/2.23 0 [] strong_iteration(A)=addition(multiplication(A,strong_iteration(A)),one).
% 1.64/2.23 0 [] -le_q(C,addition(multiplication(A,C),B))|le_q(C,multiplication(strong_iteration(A),B)).
% 1.64/2.23 0 [] strong_iteration(A)=addition(star(A),multiplication(strong_iteration(A),zero)).
% 1.64/2.23 0 [] -le_q(A,B)|addition(A,B)=B.
% 1.64/2.23 0 [] le_q(A,B)|addition(A,B)!=B.
% 1.64/2.23 0 [] strong_iteration($c1)=star($c1).
% 1.64/2.23 0 [] le_q(multiplication($c8,$c2),multiplication($c3,$c8)).
% 1.64/2.23 0 [] le_q(multiplication($c8,$c1),$c8).
% 1.64/2.23 0 [] le_q($c6,multiplication($c7,$c8)).
% 1.64/2.23 0 [] le_q(multiplication($c8,$c4),$c5).
% 1.64/2.23 0 [] -le_q(multiplication($c6,multiplication(strong_iteration(addition($c2,$c1)),$c4)),multiplication($c7,multiplication(strong_iteration($c3),$c5))).
% 1.64/2.23 end_of_list.
% 1.64/2.23
% 1.64/2.23 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=2.
% 1.64/2.23
% 1.64/2.23 This is a Horn set with equality. The strategy will be
% 1.64/2.23 Knuth-Bendix and hyper_res, with positive clauses in
% 1.64/2.23 sos and nonpositive clauses in usable.
% 1.64/2.23
% 1.64/2.23 dependent: set(knuth_bendix).
% 1.64/2.23 dependent: set(anl_eq).
% 1.64/2.23 dependent: set(para_from).
% 1.64/2.23 dependent: set(para_into).
% 1.64/2.23 dependent: clear(para_from_right).
% 1.64/2.23 dependent: clear(para_into_right).
% 1.64/2.23 dependent: set(para_from_vars).
% 1.64/2.23 dependent: set(eq_units_both_ways).
% 1.64/2.23 dependent: set(dynamic_demod_all).
% 1.64/2.23 dependent: set(dynamic_demod).
% 1.64/2.23 dependent: set(order_eq).
% 1.64/2.23 dependent: set(back_demod).
% 1.64/2.23 dependent: set(lrpo).
% 1.64/2.23 dependent: set(hyper_res).
% 1.64/2.23 dependent: clear(order_hyper).
% 1.64/2.23
% 1.64/2.23 ------------> process usable:
% 1.64/2.23 ** KEPT (pick-wt=13): 1 [] -le_q(addition(multiplication(A,B),C),B)|le_q(multiplication(star(A),C),B).
% 1.64/2.23 ** KEPT (pick-wt=13): 2 [] -le_q(addition(multiplication(A,B),C),A)|le_q(multiplication(C,star(B)),A).
% 1.64/2.23 ** KEPT (pick-wt=13): 3 [] -le_q(A,addition(multiplication(B,A),C))|le_q(A,multiplication(strong_iteration(B),C)).
% 1.64/2.23 ** KEPT (pick-wt=8): 4 [] -le_q(A,B)|addition(A,B)=B.
% 1.64/2.23 ** KEPT (pick-wt=8): 5 [] le_q(A,B)|addition(A,B)!=B.
% 1.64/2.23 ** KEPT (pick-wt=15): 6 [] -le_q(multiplication($c6,multiplication(strong_iteration(addition($c2,$c1)),$c4)),multiplication($c7,multiplication(strong_iteration($c3),$c5))).
% 1.64/2.23
% 1.64/2.23 ------------> process sos:
% 1.64/2.23 ** KEPT (pick-wt=3): 7 [] A=A.
% 1.64/2.23 ** KEPT (pick-wt=7): 8 [] addition(A,B)=addition(B,A).
% 1.64/2.23 ** KEPT (pick-wt=11): 10 [copy,9,flip.1] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 1.64/2.23 ---> New Demodulator: 11 [new_demod,10] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 1.64/2.23 ** KEPT (pick-wt=5): 12 [] addition(A,zero)=A.
% 1.64/2.23 ---> New Demodulator: 13 [new_demod,12] addition(A,zero)=A.
% 1.64/2.23 ** KEPT (pick-wt=5): 14 [] addition(A,A)=A.
% 1.64/2.23 ---> New Demodulator: 15 [new_demod,14] addition(A,A)=A.
% 1.64/2.23 ** KEPT (pick-wt=11): 17 [copy,16,flip.1] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 1.64/2.23 ---> New Demodulator: 18 [new_demod,17] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 1.64/2.23 ** KEPT (pick-wt=5): 19 [] multiplication(A,one)=A.
% 1.64/2.23 ---> New Demodulator: 20 [new_demod,19] multiplication(A,one)=A.
% 1.64/2.23 ** KEPT (pick-wt=5): 21 [] multiplication(one,A)=A.
% 1.64/2.23 ---> New Demodulator: 22 [new_demod,21] multiplication(one,A)=A.
% 1.64/2.23 ** KEPT (pick-wt=13): 23 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.64/2.23 ---> New Demodulator: 24 [new_demod,23] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.64/2.23 ** KEPT (pick-wt=13): 25 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.64/2.23 ---> New Demodulator: 26 [new_demod,25] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.64/2.23 ** KEPT (pick-wt=5): 27 [] multiplication(zero,A)=zero.
% 1.64/2.23 ---> New Demodulator: 28 [new_demod,27] multiplication(zero,A)=zero.
% 1.64/2.23 ** KEPT (pick-wt=9): 29 [] addition(one,multiplication(A,star(A)))=star(A).
% 1.64/2.23 ---> New Demodulator: 30 [new_demod,29] addition(one,multiplication(A,star(A)))=star(A).
% 1.64/2.23 ** KEPT (pick-wt=9): 31 [] addition(one,multiplication(star(A),A))=star(A).
% 1.64/2.23 ---> New Demodulator: 32 [new_demod,31] addition(one,multiplication(star(A),A))=star(A).
% 1.64/2.23 ** KEPT (pick-wt=9): 34 [copy,33,flip.1] addition(multiplication(A,strong_iteration(A)),one)=strong_iteration(A).
% 1.64/2.23 ---> New Demodulator: 35 [new_demod,34] addition(multiplication(A,strong_iteration(A)),one)=strong_iteration(A).
% 1.64/2.23 ** KEPT (pick-wt=10): 37 [copy,36,flip.1] addition(star(A),multiplication(strong_iteration(A),zero))=strong_iteration(A).
% 1.64/2.23 ---> New Demodulator: 38 [new_demod,37] addition(star(A),multiplication(strong_iteration(A),zero))=strong_iteration(A).
% 1.64/2.23 ** KEPT (pick-wt=5): 39 [] strong_iteration($c1)=star($c1).
% 1.64/2.23 ---> New Demodulator: 40 [new_demod,39] strong_iteration($c1)=star($c1).
% 1.64/2.23 ** KEPT (pick-wt=7): 41 [] le_q(multiplication($c8,$c2),multiplication($c3,$c8)).
% 1.64/2.23 ** KEPT (pick-wt=5): 42 [] le_q(multiplication($c8,$c1),$c8).
% 1.64/2.23 ** KEPT (pick-wt=5): 43 [] le_q($c6,multiplication($c7,$c8)).
% 1.64/2.23 ** KEPT (pick-wt=5): 44 [] le_q(multiplication($c8,$c4),$c5).
% 1.64/2.23 Following clause subsumed by 7 during input processing: 0 [copy,7,flip.1] A=A.
% 1.64/2.23 Following clause subsumed by 8 during input processing: 0 [copy,8,flip.1] addition(A,B)=addition(B,A).
% 1.64/2.23 >>>> Starting back demodulation with 11.
% 1.64/2.23 >>>> Starting back demodulation with 13.
% 1.64/2.23 >>>> Starting back demodulation with 15.
% 1.64/2.23 >>>> Starting back demodulation with 18.
% 1.64/2.23 >>>> Starting back demodulation with 20.
% 1.64/2.23 >>>> Starting back demodulation with 22.
% 7.73/7.89 >>>> Starting back demodulation with 24.
% 7.73/7.89 >>>> Starting back demodulation with 26.
% 7.73/7.89 >>>> Starting back demodulation with 28.
% 7.73/7.89 >>>> Starting back demodulation with 30.
% 7.73/7.89 >>>> Starting back demodulation with 32.
% 7.73/7.89 >>>> Starting back demodulation with 35.
% 7.73/7.89 >>>> Starting back demodulation with 38.
% 7.73/7.89 >>>> Starting back demodulation with 40.
% 7.73/7.89
% 7.73/7.89 ======= end of input processing =======
% 7.73/7.89
% 7.73/7.89 =========== start of search ===========
% 7.73/7.89
% 7.73/7.89
% 7.73/7.89 Resetting weight limit to 9.
% 7.73/7.89
% 7.73/7.89
% 7.73/7.89 Resetting weight limit to 9.
% 7.73/7.89
% 7.73/7.89 sos_size=919
% 7.73/7.89
% 7.73/7.89
% 7.73/7.89 Resetting weight limit to 8.
% 7.73/7.89
% 7.73/7.89
% 7.73/7.89 Resetting weight limit to 8.
% 7.73/7.89
% 7.73/7.89 sos_size=837
% 7.73/7.89
% 7.73/7.89 Search stopped because sos empty.
% 7.73/7.89
% 7.73/7.89
% 7.73/7.89 Search stopped because sos empty.
% 7.73/7.89
% 7.73/7.89 ============ end of search ============
% 7.73/7.89
% 7.73/7.89 -------------- statistics -------------
% 7.73/7.89 clauses given 1765
% 7.73/7.89 clauses generated 1227045
% 7.73/7.89 clauses kept 2567
% 7.73/7.89 clauses forward subsumed 181200
% 7.73/7.89 clauses back subsumed 779
% 7.73/7.89 Kbytes malloced 8789
% 7.73/7.89
% 7.73/7.89 ----------- times (seconds) -----------
% 7.73/7.89 user CPU time 5.66 (0 hr, 0 min, 5 sec)
% 7.73/7.89 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 7.73/7.89 wall-clock time 8 (0 hr, 0 min, 8 sec)
% 7.73/7.89
% 7.73/7.89 Process 29691 finished Wed Jul 27 06:35:31 2022
% 7.73/7.89 Otter interrupted
% 7.73/7.89 PROOF NOT FOUND
%------------------------------------------------------------------------------