TSTP Solution File: GRP167-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP167-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n021.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 12:56:36 EDT 2022
% Result : Unknown 3.42s 3.62s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP167-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n021.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Jul 27 04:53:23 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.77/1.96 ----- Otter 3.3f, August 2004 -----
% 1.77/1.96 The process was started by sandbox on n021.cluster.edu,
% 1.77/1.96 Wed Jul 27 04:53:23 2022
% 1.77/1.96 The command was "./otter". The process ID is 18245.
% 1.77/1.96
% 1.77/1.96 set(prolog_style_variables).
% 1.77/1.96 set(auto).
% 1.77/1.96 dependent: set(auto1).
% 1.77/1.96 dependent: set(process_input).
% 1.77/1.96 dependent: clear(print_kept).
% 1.77/1.96 dependent: clear(print_new_demod).
% 1.77/1.96 dependent: clear(print_back_demod).
% 1.77/1.96 dependent: clear(print_back_sub).
% 1.77/1.96 dependent: set(control_memory).
% 1.77/1.96 dependent: assign(max_mem, 12000).
% 1.77/1.96 dependent: assign(pick_given_ratio, 4).
% 1.77/1.96 dependent: assign(stats_level, 1).
% 1.77/1.96 dependent: assign(max_seconds, 10800).
% 1.77/1.96 clear(print_given).
% 1.77/1.96
% 1.77/1.96 list(usable).
% 1.77/1.96 0 [] A=A.
% 1.77/1.96 0 [] multiply(identity,X)=X.
% 1.77/1.96 0 [] multiply(inverse(X),X)=identity.
% 1.77/1.96 0 [] multiply(multiply(X,Y),Z)=multiply(X,multiply(Y,Z)).
% 1.77/1.96 0 [] greatest_lower_bound(X,Y)=greatest_lower_bound(Y,X).
% 1.77/1.96 0 [] least_upper_bound(X,Y)=least_upper_bound(Y,X).
% 1.77/1.96 0 [] greatest_lower_bound(X,greatest_lower_bound(Y,Z))=greatest_lower_bound(greatest_lower_bound(X,Y),Z).
% 1.77/1.96 0 [] least_upper_bound(X,least_upper_bound(Y,Z))=least_upper_bound(least_upper_bound(X,Y),Z).
% 1.77/1.96 0 [] least_upper_bound(X,X)=X.
% 1.77/1.96 0 [] greatest_lower_bound(X,X)=X.
% 1.77/1.96 0 [] least_upper_bound(X,greatest_lower_bound(X,Y))=X.
% 1.77/1.96 0 [] greatest_lower_bound(X,least_upper_bound(X,Y))=X.
% 1.77/1.96 0 [] multiply(X,least_upper_bound(Y,Z))=least_upper_bound(multiply(X,Y),multiply(X,Z)).
% 1.77/1.96 0 [] multiply(X,greatest_lower_bound(Y,Z))=greatest_lower_bound(multiply(X,Y),multiply(X,Z)).
% 1.77/1.96 0 [] multiply(least_upper_bound(Y,Z),X)=least_upper_bound(multiply(Y,X),multiply(Z,X)).
% 1.77/1.96 0 [] multiply(greatest_lower_bound(Y,Z),X)=greatest_lower_bound(multiply(Y,X),multiply(Z,X)).
% 1.77/1.96 0 [] inverse(identity)=identity.
% 1.77/1.96 0 [] inverse(inverse(X))=X.
% 1.77/1.96 0 [] inverse(multiply(X,Y))=multiply(inverse(Y),inverse(X)).
% 1.77/1.96 0 [] positive_part(X)=least_upper_bound(X,identity).
% 1.77/1.96 0 [] negative_part(X)=greatest_lower_bound(X,identity).
% 1.77/1.96 0 [] least_upper_bound(X,greatest_lower_bound(Y,Z))=greatest_lower_bound(least_upper_bound(X,Y),least_upper_bound(X,Z)).
% 1.77/1.96 0 [] greatest_lower_bound(X,least_upper_bound(Y,Z))=least_upper_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X,Z)).
% 1.77/1.96 0 [] a!=multiply(positive_part(a),negative_part(a)).
% 1.77/1.96 end_of_list.
% 1.77/1.96
% 1.77/1.96 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.77/1.96
% 1.77/1.96 All clauses are units, and equality is present; the
% 1.77/1.96 strategy will be Knuth-Bendix with positive clauses in sos.
% 1.77/1.96
% 1.77/1.96 dependent: set(knuth_bendix).
% 1.77/1.96 dependent: set(anl_eq).
% 1.77/1.96 dependent: set(para_from).
% 1.77/1.96 dependent: set(para_into).
% 1.77/1.96 dependent: clear(para_from_right).
% 1.77/1.96 dependent: clear(para_into_right).
% 1.77/1.96 dependent: set(para_from_vars).
% 1.77/1.96 dependent: set(eq_units_both_ways).
% 1.77/1.96 dependent: set(dynamic_demod_all).
% 1.77/1.96 dependent: set(dynamic_demod).
% 1.77/1.96 dependent: set(order_eq).
% 1.77/1.96 dependent: set(back_demod).
% 1.77/1.96 dependent: set(lrpo).
% 1.77/1.96
% 1.77/1.96 ------------> process usable:
% 1.77/1.96 ** KEPT (pick-wt=7): 2 [copy,1,flip.1] multiply(positive_part(a),negative_part(a))!=a.
% 1.77/1.96
% 1.77/1.96 ------------> process sos:
% 1.77/1.96 ** KEPT (pick-wt=3): 3 [] A=A.
% 1.77/1.96 ** KEPT (pick-wt=5): 4 [] multiply(identity,A)=A.
% 1.77/1.96 ---> New Demodulator: 5 [new_demod,4] multiply(identity,A)=A.
% 1.77/1.96 ** KEPT (pick-wt=6): 6 [] multiply(inverse(A),A)=identity.
% 1.77/1.96 ---> New Demodulator: 7 [new_demod,6] multiply(inverse(A),A)=identity.
% 1.77/1.96 ** KEPT (pick-wt=11): 8 [] multiply(multiply(A,B),C)=multiply(A,multiply(B,C)).
% 1.77/1.96 ---> New Demodulator: 9 [new_demod,8] multiply(multiply(A,B),C)=multiply(A,multiply(B,C)).
% 1.77/1.96 ** KEPT (pick-wt=7): 10 [] greatest_lower_bound(A,B)=greatest_lower_bound(B,A).
% 1.77/1.96 ** KEPT (pick-wt=7): 11 [] least_upper_bound(A,B)=least_upper_bound(B,A).
% 1.77/1.96 ** KEPT (pick-wt=11): 13 [copy,12,flip.1] greatest_lower_bound(greatest_lower_bound(A,B),C)=greatest_lower_bound(A,greatest_lower_bound(B,C)).
% 1.77/1.96 ---> New Demodulator: 14 [new_demod,13] greatest_lower_bound(greatest_lower_bound(A,B),C)=greatest_lower_bound(A,greatest_lower_bound(B,C)).
% 1.77/1.96 ** KEPT (pick-wt=11): 16 [copy,15,flip.1] least_upper_bound(least_upper_bound(A,B),C)=least_upper_bound(A,least_upper_bound(B,C)).
% 1.77/1.96 ---> New Demodulator: 17 [new_demod,16] least_upper_bound(least_upper_bound(A,B),C)=least_upper_bound(A,least_upper_bound(B,C)).
% 1.77/1.96 ** KEPT (pick-wt=5): 18 [] least_upper_bound(A,A)=A.
% 1.77/1.96 ---> New Demodulator: 19 [new_demod,18] least_upper_bound(A,A)=A.
% 1.77/1.96 ** KEPT (pick-wt=5): 20 [] greatest_lower_bound(A,A)=A.
% 1.77/1.96 ---> New Demodulator: 21 [new_demod,20] greatest_lower_bound(A,A)=A.
% 1.77/1.96 ** KEPT (pick-wt=7): 22 [] least_upper_bound(A,greatest_lower_bound(A,B))=A.
% 1.77/1.96 ---> New Demodulator: 23 [new_demod,22] least_upper_bound(A,greatest_lower_bound(A,B))=A.
% 1.77/1.96 ** KEPT (pick-wt=7): 24 [] greatest_lower_bound(A,least_upper_bound(A,B))=A.
% 1.77/1.96 ---> New Demodulator: 25 [new_demod,24] greatest_lower_bound(A,least_upper_bound(A,B))=A.
% 1.77/1.96 ** KEPT (pick-wt=13): 26 [] multiply(A,least_upper_bound(B,C))=least_upper_bound(multiply(A,B),multiply(A,C)).
% 1.77/1.96 ---> New Demodulator: 27 [new_demod,26] multiply(A,least_upper_bound(B,C))=least_upper_bound(multiply(A,B),multiply(A,C)).
% 1.77/1.96 ** KEPT (pick-wt=13): 28 [] multiply(A,greatest_lower_bound(B,C))=greatest_lower_bound(multiply(A,B),multiply(A,C)).
% 1.77/1.96 ---> New Demodulator: 29 [new_demod,28] multiply(A,greatest_lower_bound(B,C))=greatest_lower_bound(multiply(A,B),multiply(A,C)).
% 1.77/1.96 ** KEPT (pick-wt=13): 30 [] multiply(least_upper_bound(A,B),C)=least_upper_bound(multiply(A,C),multiply(B,C)).
% 1.77/1.96 ---> New Demodulator: 31 [new_demod,30] multiply(least_upper_bound(A,B),C)=least_upper_bound(multiply(A,C),multiply(B,C)).
% 1.77/1.96 ** KEPT (pick-wt=13): 32 [] multiply(greatest_lower_bound(A,B),C)=greatest_lower_bound(multiply(A,C),multiply(B,C)).
% 1.77/1.96 ---> New Demodulator: 33 [new_demod,32] multiply(greatest_lower_bound(A,B),C)=greatest_lower_bound(multiply(A,C),multiply(B,C)).
% 1.77/1.96 ** KEPT (pick-wt=4): 34 [] inverse(identity)=identity.
% 1.77/1.96 ---> New Demodulator: 35 [new_demod,34] inverse(identity)=identity.
% 1.77/1.96 ** KEPT (pick-wt=5): 36 [] inverse(inverse(A))=A.
% 1.77/1.96 ---> New Demodulator: 37 [new_demod,36] inverse(inverse(A))=A.
% 1.77/1.96 ** KEPT (pick-wt=10): 38 [] inverse(multiply(A,B))=multiply(inverse(B),inverse(A)).
% 1.77/1.96 ---> New Demodulator: 39 [new_demod,38] inverse(multiply(A,B))=multiply(inverse(B),inverse(A)).
% 1.77/1.96 ** KEPT (pick-wt=6): 40 [] positive_part(A)=least_upper_bound(A,identity).
% 1.77/1.96 ---> New Demodulator: 41 [new_demod,40] positive_part(A)=least_upper_bound(A,identity).
% 1.77/1.96 ** KEPT (pick-wt=6): 42 [] negative_part(A)=greatest_lower_bound(A,identity).
% 1.77/1.96 ---> New Demodulator: 43 [new_demod,42] negative_part(A)=greatest_lower_bound(A,identity).
% 1.77/1.96 ** KEPT (pick-wt=13): 44 [] least_upper_bound(A,greatest_lower_bound(B,C))=greatest_lower_bound(least_upper_bound(A,B),least_upper_bound(A,C)).
% 1.77/1.96 ---> New Demodulator: 45 [new_demod,44] least_upper_bound(A,greatest_lower_bound(B,C))=greatest_lower_bound(least_upper_bound(A,B),least_upper_bound(A,C)).
% 1.77/1.96 ** KEPT (pick-wt=17): 47 [copy,46,demod,45,flip.1] greatest_lower_bound(least_upper_bound(greatest_lower_bound(A,B),A),least_upper_bound(greatest_lower_bound(A,B),C))=greatest_lower_bound(A,least_upper_bound(B,C)).
% 1.77/1.96 ---> New Demodulator: 48 [new_demod,47] greatest_lower_bound(least_upper_bound(greatest_lower_bound(A,B),A),least_upper_bound(greatest_lower_bound(A,B),C))=greatest_lower_bound(A,least_upper_bound(B,C)).
% 1.77/1.96 Following clause subsumed by 3 during input processing: 0 [copy,3,flip.1] A=A.
% 1.77/1.96 >>>> Starting back demodulation with 5.
% 1.77/1.96 >>>> Starting back demodulation with 7.
% 1.77/1.96 >>>> Starting back demodulation with 9.
% 1.77/1.96 Following clause subsumed by 10 during input processing: 0 [copy,10,flip.1] greatest_lower_bound(A,B)=greatest_lower_bound(B,A).
% 1.77/1.96 Following clause subsumed by 11 during input processing: 0 [copy,11,flip.1] least_upper_bound(A,B)=least_upper_bound(B,A).
% 1.77/1.96 >>>> Starting back demodulation with 14.
% 1.77/1.96 >>>> Starting back demodulation with 17.
% 1.77/1.96 >>>> Starting back demodulation with 19.
% 1.77/1.96 >>>> Starting back demodulation with 21.
% 1.77/1.96 >>>> Starting back demodulation with 23.
% 1.77/1.96 >>>> Starting back demodulation with 25.
% 1.77/1.96 >>>> Starting back demodulation with 27.
% 1.77/1.96 >>>> Starting back demodulation with 29.
% 1.77/1.96 >>>> Starting back demodulation with 31.
% 1.77/1.96 >>>> Starting back demodulation with 33.
% 1.77/1.96 >>>> Starting back demodulation with 35.
% 1.77/1.96 >>>> Starting back demodulation with 37.
% 1.77/1.96 >>>> Starting back demodulation with 39.
% 1.77/1.96 >>>> Starting back demodulation with 41.
% 1.77/1.96 >> back demodulating 2 with 41.
% 1.77/1.96 >>>> Starting back demodulation with 43.
% 1.77/1.96 >>>> Starting back demodulation with 45.
% 3.42/3.62 >> back demodulating 22 with 45.
% 3.42/3.62 >>>> Starting back demodulation with 48.
% 3.42/3.62
% 3.42/3.62 ======= end of input processing =======
% 3.42/3.62
% 3.42/3.62 =========== start of search ===========
% 3.42/3.62
% 3.42/3.62
% 3.42/3.62 Resetting weight limit to 11.
% 3.42/3.62
% 3.42/3.62
% 3.42/3.62 Resetting weight limit to 11.
% 3.42/3.62
% 3.42/3.62 sos_size=423
% 3.42/3.62
% 3.42/3.62
% 3.42/3.62 Resetting weight limit to 10.
% 3.42/3.62
% 3.42/3.62
% 3.42/3.62 Resetting weight limit to 10.
% 3.42/3.62
% 3.42/3.62 sos_size=38
% 3.42/3.62
% 3.42/3.62 Search stopped because sos empty.
% 3.42/3.62
% 3.42/3.62
% 3.42/3.62 Search stopped because sos empty.
% 3.42/3.62
% 3.42/3.62 ============ end of search ============
% 3.42/3.62
% 3.42/3.62 -------------- statistics -------------
% 3.42/3.62 clauses given 600
% 3.42/3.62 clauses generated 281841
% 3.42/3.62 clauses kept 667
% 3.42/3.62 clauses forward subsumed 109091
% 3.42/3.62 clauses back subsumed 4
% 3.42/3.62 Kbytes malloced 8789
% 3.42/3.62
% 3.42/3.62 ----------- times (seconds) -----------
% 3.42/3.62 user CPU time 1.65 (0 hr, 0 min, 1 sec)
% 3.42/3.62 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 3.42/3.62 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 3.42/3.62
% 3.42/3.62 Process 18245 finished Wed Jul 27 04:53:26 2022
% 3.42/3.62 Otter interrupted
% 3.42/3.62 PROOF NOT FOUND
%------------------------------------------------------------------------------