TSTP Solution File: GRP027-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP027-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 12:55:54 EDT 2022
% Result : Timeout 299.84s 300.02s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GRP027-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.09/0.12 % 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 05:39:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.72/1.93 ----- Otter 3.3f, August 2004 -----
% 1.72/1.93 The process was started by sandbox2 on n016.cluster.edu,
% 1.72/1.93 Wed Jul 27 05:39:37 2022
% 1.72/1.93 The command was "./otter". The process ID is 32417.
% 1.72/1.93
% 1.72/1.93 set(prolog_style_variables).
% 1.72/1.93 set(auto).
% 1.72/1.93 dependent: set(auto1).
% 1.72/1.93 dependent: set(process_input).
% 1.72/1.93 dependent: clear(print_kept).
% 1.72/1.93 dependent: clear(print_new_demod).
% 1.72/1.93 dependent: clear(print_back_demod).
% 1.72/1.93 dependent: clear(print_back_sub).
% 1.72/1.93 dependent: set(control_memory).
% 1.72/1.93 dependent: assign(max_mem, 12000).
% 1.72/1.93 dependent: assign(pick_given_ratio, 4).
% 1.72/1.93 dependent: assign(stats_level, 1).
% 1.72/1.93 dependent: assign(max_seconds, 10800).
% 1.72/1.93 clear(print_given).
% 1.72/1.93
% 1.72/1.93 list(usable).
% 1.72/1.93 0 [] A=A.
% 1.72/1.93 0 [] group_member(identity_for(Xg),Xg).
% 1.72/1.93 0 [] product(Xg,identity_for(Xg),X,X).
% 1.72/1.93 0 [] product(Xg,X,identity_for(Xg),X).
% 1.72/1.93 0 [] -group_member(X,Xg)|group_member(inverse(Xg,X),Xg).
% 1.72/1.93 0 [] product(Xg,inverse(Xg,X),X,identity_for(Xg)).
% 1.72/1.93 0 [] product(Xg,X,inverse(Xg,X),identity_for(Xg)).
% 1.72/1.93 0 [] -group_member(X,Xg)| -group_member(Y,Xg)|product(Xg,X,Y,multiply(Xg,X,Y)).
% 1.72/1.93 0 [] -group_member(X,Xg)| -group_member(Y,Xg)|group_member(multiply(Xg,X,Y),Xg).
% 1.72/1.93 0 [] -product(Xg,X,Y,Z)| -product(Xg,X,Y,W)|W=Z.
% 1.72/1.93 0 [] -product(Xg,X,Y,Xy)| -product(Xg,Y,Z,Yz)| -product(Xg,Xy,Z,Xyz)|product(Xg,X,Yz,Xyz).
% 1.72/1.93 0 [] -product(Xg,X,Y,Xy)| -product(Xg,Y,Z,Yz)| -product(Xg,X,Yz,Xyz)|product(Xg,Xy,Z,Xyz).
% 1.72/1.93 0 [] group_member(a,g).
% 1.72/1.93 0 [] group_member(b,g).
% 1.72/1.93 0 [] group_member(c,g).
% 1.72/1.93 0 [] group_member(d,g).
% 1.72/1.93 0 [] group_member(i,g).
% 1.72/1.93 0 [] identity_for(g)=i.
% 1.72/1.93 0 [] -group_member(X,g)|X=a|X=b|X=c|X=d|X=i.
% 1.72/1.93 0 [] multiply(g,X,multiply(g,X,multiply(g,X,multiply(g,X,X))))=i.
% 1.72/1.93 0 [] not_power_of(g,X)!=X.
% 1.72/1.93 0 [] -product(g,X,X,not_power_of(g,X)).
% 1.72/1.93 0 [] -product(g,X,multiply(g,X,X),not_power_of(g,X)).
% 1.72/1.93 0 [] -product(g,X,multiply(g,X,multiply(g,X,X)),not_power_of(g,X)).
% 1.72/1.93 0 [] -product(g,X,multiply(g,X,multiply(g,X,multiply(g,X,X))),not_power_of(g,X)).
% 1.72/1.93 end_of_list.
% 1.72/1.93
% 1.72/1.93 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 1.72/1.93
% 1.72/1.93 This ia a non-Horn set with equality. The strategy will be
% 1.72/1.93 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.72/1.93 deletion, with positive clauses in sos and nonpositive
% 1.72/1.93 clauses in usable.
% 1.72/1.93
% 1.72/1.93 dependent: set(knuth_bendix).
% 1.72/1.93 dependent: set(anl_eq).
% 1.72/1.93 dependent: set(para_from).
% 1.72/1.93 dependent: set(para_into).
% 1.72/1.93 dependent: clear(para_from_right).
% 1.72/1.93 dependent: clear(para_into_right).
% 1.72/1.93 dependent: set(para_from_vars).
% 1.72/1.93 dependent: set(eq_units_both_ways).
% 1.72/1.93 dependent: set(dynamic_demod_all).
% 1.72/1.93 dependent: set(dynamic_demod).
% 1.72/1.93 dependent: set(order_eq).
% 1.72/1.93 dependent: set(back_demod).
% 1.72/1.93 dependent: set(lrpo).
% 1.72/1.93 dependent: set(hyper_res).
% 1.72/1.93 dependent: set(unit_deletion).
% 1.72/1.93 dependent: set(factor).
% 1.72/1.93
% 1.72/1.93 ------------> process usable:
% 1.72/1.93 ** KEPT (pick-wt=8): 1 [] -group_member(A,B)|group_member(inverse(B,A),B).
% 1.72/1.93 ** KEPT (pick-wt=14): 2 [] -group_member(A,B)| -group_member(C,B)|product(B,A,C,multiply(B,A,C)).
% 1.72/1.93 ** KEPT (pick-wt=12): 3 [] -group_member(A,B)| -group_member(C,B)|group_member(multiply(B,A,C),B).
% 1.72/1.93 ** KEPT (pick-wt=13): 4 [] -product(A,B,C,D)| -product(A,B,C,E)|E=D.
% 1.72/1.93 ** KEPT (pick-wt=20): 5 [] -product(A,B,C,D)| -product(A,C,E,F)| -product(A,D,E,G)|product(A,B,F,G).
% 1.72/1.93 ** KEPT (pick-wt=20): 6 [] -product(A,B,C,D)| -product(A,C,E,F)| -product(A,B,F,G)|product(A,D,E,G).
% 1.72/1.93 ** KEPT (pick-wt=18): 7 [] -group_member(A,g)|A=a|A=b|A=c|A=d|A=i.
% 1.72/1.93 ** KEPT (pick-wt=5): 8 [] not_power_of(g,A)!=A.
% 1.72/1.93 ** KEPT (pick-wt=7): 9 [] -product(g,A,A,not_power_of(g,A)).
% 1.72/1.93 ** KEPT (pick-wt=10): 10 [] -product(g,A,multiply(g,A,A),not_power_of(g,A)).
% 1.72/1.93 ** KEPT (pick-wt=13): 11 [] -product(g,A,multiply(g,A,multiply(g,A,A)),not_power_of(g,A)).
% 1.72/1.93 ** KEPT (pick-wt=16): 12 [] -product(g,A,multiply(g,A,multiply(g,A,multiply(g,A,A))),not_power_of(g,A)).
% 1.72/1.93
% 1.72/1.93 ------------> process sos:
% 1.72/1.93 ** KEPT (pick-wt=3): 22 [] A=A.
% 1.72/1.93 ** KEPT (pick-wt=4): 23 [] group_member(identity_for(A),A).
% 1.72/1.93 ** KEPT (pick-wt=6): 24 [] product(A,identity_for(A),B,B).
% 1.72/1.93 ** KEPT (pick-wt=6): 25 [] product(A,B,identity_for(A),B).
% 1.72/1.93 ** KEPT (pick-wt=8): 26 [] product(A,inverse(A,B),B,identity_for(A)).
% 1.72/1.93 ** KEPT (pick-wt=8): 27 [] product(A,B,inverse(A,B),identity_for(A)).
% 1.72/1.93 ** KEPT (pick-wt=3): 28 [] group_member(a,g).
% 1.72/1.93 ** KEPT (Alarm clock
% 299.84/300.02 Otter interrupted
% 299.84/300.02 PROOF NOT FOUND
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