TSTP Solution File: KLE163+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : KLE163+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n003.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 2.23s 2.38s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE163+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n003.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 06:30:41 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.69/1.86 ----- Otter 3.3f, August 2004 -----
% 1.69/1.86 The process was started by sandbox2 on n003.cluster.edu,
% 1.69/1.86 Wed Jul 27 06:30:41 2022
% 1.69/1.86 The command was "./otter". The process ID is 13696.
% 1.69/1.86
% 1.69/1.86 set(prolog_style_variables).
% 1.69/1.86 set(auto).
% 1.69/1.86 dependent: set(auto1).
% 1.69/1.86 dependent: set(process_input).
% 1.69/1.86 dependent: clear(print_kept).
% 1.69/1.86 dependent: clear(print_new_demod).
% 1.69/1.86 dependent: clear(print_back_demod).
% 1.69/1.86 dependent: clear(print_back_sub).
% 1.69/1.86 dependent: set(control_memory).
% 1.69/1.86 dependent: assign(max_mem, 12000).
% 1.69/1.86 dependent: assign(pick_given_ratio, 4).
% 1.69/1.86 dependent: assign(stats_level, 1).
% 1.69/1.86 dependent: assign(max_seconds, 10800).
% 1.69/1.86 clear(print_given).
% 1.69/1.86
% 1.69/1.86 formula_list(usable).
% 1.69/1.86 all A (A=A).
% 1.69/1.86 all A B (addition(A,B)=addition(B,A)).
% 1.69/1.86 all C B A (addition(A,addition(B,C))=addition(addition(A,B),C)).
% 1.69/1.86 all A (addition(A,zero)=A).
% 1.69/1.86 all A (addition(A,A)=A).
% 1.69/1.86 all A B C (multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C)).
% 1.69/1.86 all A (multiplication(A,one)=A).
% 1.69/1.86 all A (multiplication(one,A)=A).
% 1.69/1.86 all A B C (multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C))).
% 1.69/1.86 all A B C (multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C))).
% 1.69/1.86 all A (multiplication(zero,A)=zero).
% 1.69/1.86 all A (addition(one,multiplication(A,star(A)))=star(A)).
% 1.69/1.86 all A (addition(one,multiplication(star(A),A))=star(A)).
% 1.69/1.86 all A B C (le_q(addition(multiplication(A,C),B),C)->le_q(multiplication(star(A),B),C)).
% 1.69/1.86 all A B C (le_q(addition(multiplication(C,A),B),C)->le_q(multiplication(B,star(A)),C)).
% 1.69/1.86 all A (strong_iteration(A)=addition(multiplication(A,strong_iteration(A)),one)).
% 1.69/1.86 all A B C (le_q(C,addition(multiplication(A,C),B))->le_q(C,multiplication(strong_iteration(A),B))).
% 1.69/1.86 all A (strong_iteration(A)=addition(star(A),multiplication(strong_iteration(A),zero))).
% 1.69/1.86 all A B (le_q(A,B)<->addition(A,B)=B).
% 1.69/1.86 -(all X0 X1 X2 X3 X4 X5 (le_q(X0,multiplication(X3,X0))&le_q(multiplication(X4,X1),multiplication(X1,X4))&le_q(multiplication(addition(X0,addition(X4,X1)),X2),multiplication(X2,addition(X0,addition(X4,X1))))&le_q(multiplication(X4,X3),multiplication(X3,X4))&star(X4)=strong_iteration(X4)&le_q(multiplication(X3,X2),multiplication(X2,X3))&multiplication(X3,X1)=zero&le_q(X5,multiplication(X5,X3))&le_q(X3,one)->le_q(multiplication(multiplication(X5,multiplication(strong_iteration(X2),X3)),multiplication(multiplication(strong_iteration(X4),X3),strong_iteration(multiplication(multiplication(X0,strong_iteration(X1)),multiplication(X3,strong_iteration(X4)))))),multiplication(X5,strong_iteration(addition(addition(multiplication(multiplication(X0,strong_iteration(X1)),X3),X4),X2)))))).
% 1.69/1.86 end_of_list.
% 1.69/1.86
% 1.69/1.86 -------> usable clausifies to:
% 1.69/1.86
% 1.69/1.86 list(usable).
% 1.69/1.86 0 [] A=A.
% 1.69/1.86 0 [] addition(A,B)=addition(B,A).
% 1.69/1.86 0 [] addition(A,addition(B,C))=addition(addition(A,B),C).
% 1.69/1.86 0 [] addition(A,zero)=A.
% 1.69/1.86 0 [] addition(A,A)=A.
% 1.69/1.86 0 [] multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C).
% 1.69/1.86 0 [] multiplication(A,one)=A.
% 1.69/1.86 0 [] multiplication(one,A)=A.
% 1.69/1.86 0 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.69/1.86 0 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.69/1.86 0 [] multiplication(zero,A)=zero.
% 1.69/1.86 0 [] addition(one,multiplication(A,star(A)))=star(A).
% 1.69/1.86 0 [] addition(one,multiplication(star(A),A))=star(A).
% 1.69/1.86 0 [] -le_q(addition(multiplication(A,C),B),C)|le_q(multiplication(star(A),B),C).
% 1.69/1.86 0 [] -le_q(addition(multiplication(C,A),B),C)|le_q(multiplication(B,star(A)),C).
% 1.69/1.86 0 [] strong_iteration(A)=addition(multiplication(A,strong_iteration(A)),one).
% 1.69/1.86 0 [] -le_q(C,addition(multiplication(A,C),B))|le_q(C,multiplication(strong_iteration(A),B)).
% 1.69/1.86 0 [] strong_iteration(A)=addition(star(A),multiplication(strong_iteration(A),zero)).
% 1.69/1.86 0 [] -le_q(A,B)|addition(A,B)=B.
% 1.69/1.86 0 [] le_q(A,B)|addition(A,B)!=B.
% 1.69/1.86 0 [] le_q($c6,multiplication($c3,$c6)).
% 1.69/1.86 0 [] le_q(multiplication($c2,$c5),multiplication($c5,$c2)).
% 1.69/1.86 0 [] le_q(multiplication(addition($c6,addition($c2,$c5)),$c4),multiplication($c4,addition($c6,addition($c2,$c5)))).
% 1.69/1.86 0 [] le_q(multiplication($c2,$c3),multiplication($c3,$c2)).
% 1.69/1.86 0 [] star($c2)=strong_iteration($c2).
% 1.69/1.86 0 [] le_q(multiplication($c3,$c4),multiplication($c4,$c3)).
% 1.69/1.86 0 [] multiplication($c3,$c5)=zero.
% 1.69/1.86 0 [] le_q($c1,multiplication($c1,$c3)).
% 1.69/1.86 0 [] le_q($c3,one).
% 1.69/1.86 0 [] -le_q(multiplication(multiplication($c1,multiplication(strong_iteration($c4),$c3)),multiplication(multiplication(strong_iteration($c2),$c3),strong_iteration(multiplication(multiplication($c6,strong_iteration($c5)),multiplication($c3,strong_iteration($c2)))))),multiplication($c1,strong_iteration(addition(addition(multiplication(multiplication($c6,strong_iteration($c5)),$c3),$c2),$c4)))).
% 1.69/1.86 end_of_list.
% 1.69/1.86
% 1.69/1.86 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=2.
% 1.69/1.86
% 1.69/1.86 This is a Horn set with equality. The strategy will be
% 1.69/1.86 Knuth-Bendix and hyper_res, with positive clauses in
% 1.69/1.86 sos and nonpositive clauses in usable.
% 1.69/1.86
% 1.69/1.86 dependent: set(knuth_bendix).
% 1.69/1.86 dependent: set(anl_eq).
% 1.69/1.86 dependent: set(para_from).
% 1.69/1.86 dependent: set(para_into).
% 1.69/1.86 dependent: clear(para_from_right).
% 1.69/1.86 dependent: clear(para_into_right).
% 1.69/1.86 dependent: set(para_from_vars).
% 1.69/1.86 dependent: set(eq_units_both_ways).
% 1.69/1.86 dependent: set(dynamic_demod_all).
% 1.69/1.86 dependent: set(dynamic_demod).
% 1.69/1.86 dependent: set(order_eq).
% 1.69/1.86 dependent: set(back_demod).
% 1.69/1.86 dependent: set(lrpo).
% 1.69/1.86 dependent: set(hyper_res).
% 1.69/1.86 dependent: clear(order_hyper).
% 1.69/1.86
% 1.69/1.86 ------------> process usable:
% 1.69/1.86 ** KEPT (pick-wt=13): 1 [] -le_q(addition(multiplication(A,B),C),B)|le_q(multiplication(star(A),C),B).
% 1.69/1.86 ** KEPT (pick-wt=13): 2 [] -le_q(addition(multiplication(A,B),C),A)|le_q(multiplication(C,star(B)),A).
% 1.69/1.86 ** KEPT (pick-wt=13): 3 [] -le_q(A,addition(multiplication(B,A),C))|le_q(A,multiplication(strong_iteration(B),C)).
% 1.69/1.86 ** KEPT (pick-wt=8): 4 [] -le_q(A,B)|addition(A,B)=B.
% 1.69/1.86 ** KEPT (pick-wt=8): 5 [] le_q(A,B)|addition(A,B)!=B.
% 1.69/1.86 ** KEPT (pick-wt=36): 6 [] -le_q(multiplication(multiplication($c1,multiplication(strong_iteration($c4),$c3)),multiplication(multiplication(strong_iteration($c2),$c3),strong_iteration(multiplication(multiplication($c6,strong_iteration($c5)),multiplication($c3,strong_iteration($c2)))))),multiplication($c1,strong_iteration(addition(addition(multiplication(multiplication($c6,strong_iteration($c5)),$c3),$c2),$c4)))).
% 1.69/1.86
% 1.69/1.86 ------------> process sos:
% 1.69/1.86 ** KEPT (pick-wt=3): 7 [] A=A.
% 1.69/1.86 ** KEPT (pick-wt=7): 8 [] addition(A,B)=addition(B,A).
% 1.69/1.86 ** KEPT (pick-wt=11): 10 [copy,9,flip.1] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 1.69/1.86 ---> New Demodulator: 11 [new_demod,10] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 1.69/1.86 ** KEPT (pick-wt=5): 12 [] addition(A,zero)=A.
% 1.69/1.86 ---> New Demodulator: 13 [new_demod,12] addition(A,zero)=A.
% 1.69/1.86 ** KEPT (pick-wt=5): 14 [] addition(A,A)=A.
% 1.69/1.86 ---> New Demodulator: 15 [new_demod,14] addition(A,A)=A.
% 1.69/1.86 ** KEPT (pick-wt=11): 17 [copy,16,flip.1] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 1.69/1.86 ---> New Demodulator: 18 [new_demod,17] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 1.69/1.86 ** KEPT (pick-wt=5): 19 [] multiplication(A,one)=A.
% 1.69/1.86 ---> New Demodulator: 20 [new_demod,19] multiplication(A,one)=A.
% 1.69/1.86 ** KEPT (pick-wt=5): 21 [] multiplication(one,A)=A.
% 1.69/1.86 ---> New Demodulator: 22 [new_demod,21] multiplication(one,A)=A.
% 1.69/1.86 ** KEPT (pick-wt=13): 23 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.69/1.86 ---> New Demodulator: 24 [new_demod,23] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.69/1.86 ** KEPT (pick-wt=13): 25 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.69/1.86 ---> New Demodulator: 26 [new_demod,25] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.69/1.86 ** KEPT (pick-wt=5): 27 [] multiplication(zero,A)=zero.
% 1.69/1.86 ---> New Demodulator: 28 [new_demod,27] multiplication(zero,A)=zero.
% 1.69/1.86 ** KEPT (pick-wt=9): 29 [] addition(one,multiplication(A,star(A)))=star(A).
% 1.69/1.86 ---> New Demodulator: 30 [new_demod,29] addition(one,multiplication(A,star(A)))=star(A).
% 1.69/1.86 ** KEPT (pick-wt=9): 31 [] addition(one,multiplication(star(A),A))=star(A).
% 1.69/1.86 ---> New Demodulator: 32 [new_demod,31] addition(one,multiplication(star(A),A))=star(A).
% 1.69/1.86 ** KEPT (pick-wt=9): 34 [copy,33,flip.1] addition(multiplication(A,strong_iteration(A)),one)=strong_iteration(A).
% 2.23/2.37 ---> New Demodulator: 35 [new_demod,34] addition(multiplication(A,strong_iteration(A)),one)=strong_iteration(A).
% 2.23/2.37 ** KEPT (pick-wt=10): 37 [copy,36,flip.1] addition(star(A),multiplication(strong_iteration(A),zero))=strong_iteration(A).
% 2.23/2.37 ---> New Demodulator: 38 [new_demod,37] addition(star(A),multiplication(strong_iteration(A),zero))=strong_iteration(A).
% 2.23/2.37 ** KEPT (pick-wt=5): 39 [] le_q($c6,multiplication($c3,$c6)).
% 2.23/2.37 ** KEPT (pick-wt=7): 40 [] le_q(multiplication($c2,$c5),multiplication($c5,$c2)).
% 2.23/2.37 ** KEPT (pick-wt=23): 42 [copy,41,demod,26,26,24,24] le_q(addition(multiplication($c6,$c4),addition(multiplication($c2,$c4),multiplication($c5,$c4))),addition(multiplication($c4,$c6),addition(multiplication($c4,$c2),multiplication($c4,$c5)))).
% 2.23/2.37 ** KEPT (pick-wt=7): 43 [] le_q(multiplication($c2,$c3),multiplication($c3,$c2)).
% 2.23/2.37 ** KEPT (pick-wt=5): 45 [copy,44,flip.1] strong_iteration($c2)=star($c2).
% 2.23/2.37 ---> New Demodulator: 46 [new_demod,45] strong_iteration($c2)=star($c2).
% 2.23/2.37 ** KEPT (pick-wt=7): 47 [] le_q(multiplication($c3,$c4),multiplication($c4,$c3)).
% 2.23/2.37 ** KEPT (pick-wt=5): 48 [] multiplication($c3,$c5)=zero.
% 2.23/2.37 ---> New Demodulator: 49 [new_demod,48] multiplication($c3,$c5)=zero.
% 2.23/2.37 ** KEPT (pick-wt=5): 50 [] le_q($c1,multiplication($c1,$c3)).
% 2.23/2.37 ** KEPT (pick-wt=3): 51 [] le_q($c3,one).
% 2.23/2.37 Following clause subsumed by 7 during input processing: 0 [copy,7,flip.1] A=A.
% 2.23/2.37 Following clause subsumed by 8 during input processing: 0 [copy,8,flip.1] addition(A,B)=addition(B,A).
% 2.23/2.37 >>>> Starting back demodulation with 11.
% 2.23/2.37 >> back demodulating 6 with 11.
% 2.23/2.37 >>>> Starting back demodulation with 13.
% 2.23/2.37 >>>> Starting back demodulation with 15.
% 2.23/2.37 >>>> Starting back demodulation with 18.
% 2.23/2.37 >>>> Starting back demodulation with 20.
% 2.23/2.37 >>>> Starting back demodulation with 22.
% 2.23/2.37 >>>> Starting back demodulation with 24.
% 2.23/2.37 >>>> Starting back demodulation with 26.
% 2.23/2.37 >>>> Starting back demodulation with 28.
% 2.23/2.37 >>>> Starting back demodulation with 30.
% 2.23/2.37 >>>> Starting back demodulation with 32.
% 2.23/2.37 >>>> Starting back demodulation with 35.
% 2.23/2.37 >>>> Starting back demodulation with 38.
% 2.23/2.37 >>>> Starting back demodulation with 46.
% 2.23/2.37 >>>> Starting back demodulation with 49.
% 2.23/2.37
% 2.23/2.37 ======= end of input processing =======
% 2.23/2.37
% 2.23/2.37 =========== start of search ===========
% 2.23/2.37
% 2.23/2.37
% 2.23/2.37 Resetting weight limit to 8.
% 2.23/2.37
% 2.23/2.37
% 2.23/2.37 Resetting weight limit to 8.
% 2.23/2.37
% 2.23/2.37 sos_size=409
% 2.23/2.37
% 2.23/2.37
% 2.23/2.37 Resetting weight limit to 7.
% 2.23/2.37
% 2.23/2.37
% 2.23/2.37 Resetting weight limit to 7.
% 2.23/2.37
% 2.23/2.37 sos_size=392
% 2.23/2.37
% 2.23/2.37 Search stopped because sos empty.
% 2.23/2.37
% 2.23/2.37
% 2.23/2.37 Search stopped because sos empty.
% 2.23/2.37
% 2.23/2.37 ============ end of search ============
% 2.23/2.37
% 2.23/2.37 -------------- statistics -------------
% 2.23/2.37 clauses given 667
% 2.23/2.37 clauses generated 98713
% 2.23/2.37 clauses kept 870
% 2.23/2.37 clauses forward subsumed 9115
% 2.23/2.37 clauses back subsumed 187
% 2.23/2.37 Kbytes malloced 6835
% 2.23/2.37
% 2.23/2.37 ----------- times (seconds) -----------
% 2.23/2.37 user CPU time 0.52 (0 hr, 0 min, 0 sec)
% 2.23/2.37 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.23/2.37 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.23/2.37
% 2.23/2.37 Process 13696 finished Wed Jul 27 06:30:43 2022
% 2.23/2.37 Otter interrupted
% 2.23/2.37 PROOF NOT FOUND
%------------------------------------------------------------------------------