TSTP Solution File: GRP026-2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP026-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n004.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 : Unknown 135.99s 136.19s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP026-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 05:11:06 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.79/2.00 ----- Otter 3.3f, August 2004 -----
% 1.79/2.00 The process was started by sandbox on n004.cluster.edu,
% 1.79/2.00 Wed Jul 27 05:11:06 2022
% 1.79/2.00 The command was "./otter". The process ID is 26905.
% 1.79/2.00
% 1.79/2.00 set(prolog_style_variables).
% 1.79/2.00 set(auto).
% 1.79/2.00 dependent: set(auto1).
% 1.79/2.00 dependent: set(process_input).
% 1.79/2.00 dependent: clear(print_kept).
% 1.79/2.00 dependent: clear(print_new_demod).
% 1.79/2.00 dependent: clear(print_back_demod).
% 1.79/2.00 dependent: clear(print_back_sub).
% 1.79/2.00 dependent: set(control_memory).
% 1.79/2.00 dependent: assign(max_mem, 12000).
% 1.79/2.00 dependent: assign(pick_given_ratio, 4).
% 1.79/2.00 dependent: assign(stats_level, 1).
% 1.79/2.00 dependent: assign(max_seconds, 10800).
% 1.79/2.00 clear(print_given).
% 1.79/2.00
% 1.79/2.00 list(usable).
% 1.79/2.00 0 [] A=A.
% 1.79/2.00 0 [] group_member(identity_for(Xg),Xg).
% 1.79/2.00 0 [] product(Xg,identity_for(Xg),X,X).
% 1.79/2.00 0 [] product(Xg,X,identity_for(Xg),X).
% 1.79/2.00 0 [] -group_member(X,Xg)|group_member(inverse(Xg,X),Xg).
% 1.79/2.00 0 [] product(Xg,inverse(Xg,X),X,identity_for(Xg)).
% 1.79/2.00 0 [] product(Xg,X,inverse(Xg,X),identity_for(Xg)).
% 1.79/2.00 0 [] -group_member(X,Xg)| -group_member(Y,Xg)|product(Xg,X,Y,multiply(Xg,X,Y)).
% 1.79/2.00 0 [] -group_member(X,Xg)| -group_member(Y,Xg)|group_member(multiply(Xg,X,Y),Xg).
% 1.79/2.00 0 [] -product(Xg,X,Y,Z)| -product(Xg,X,Y,W)|W=Z.
% 1.79/2.00 0 [] -product(Xg,X,Y,Xy)| -product(Xg,Y,Z,Yz)| -product(Xg,Xy,Z,Xyz)|product(Xg,X,Yz,Xyz).
% 1.79/2.00 0 [] -product(Xg,X,Y,Xy)| -product(Xg,Y,Z,Yz)| -product(Xg,X,Yz,Xyz)|product(Xg,Xy,Z,Xyz).
% 1.79/2.00 0 [] g1!=g2.
% 1.79/2.00 0 [] group_member(a,g1).
% 1.79/2.00 0 [] group_member(b,g1).
% 1.79/2.00 0 [] group_member(c,g1).
% 1.79/2.00 0 [] a!=b.
% 1.79/2.00 0 [] c!=a.
% 1.79/2.00 0 [] b!=c.
% 1.79/2.00 0 [] group_member(f,g2).
% 1.79/2.00 0 [] group_member(g,g2).
% 1.79/2.00 0 [] group_member(h,g2).
% 1.79/2.00 0 [] f!=g.
% 1.79/2.00 0 [] h!=f.
% 1.79/2.00 0 [] g!=h.
% 1.79/2.00 0 [] -group_member(X,g1)|X=a|X=b|X=c.
% 1.79/2.00 0 [] -group_member(X,g2)|X=f|X=g|X=h.
% 1.79/2.00 0 [] identity_for(g1)=a.
% 1.79/2.00 0 [] identity_for(g2)=f.
% 1.79/2.00 0 [] product(g1,a,X,X).
% 1.79/2.00 0 [] product(g1,X,a,X).
% 1.79/2.00 0 [] product(g2,f,X,X).
% 1.79/2.00 0 [] product(g2,X,f,X).
% 1.79/2.00 0 [] isomorphism1(a)=f.
% 1.79/2.00 0 [] isomorphism1(b)=g.
% 1.79/2.00 0 [] isomorphism1(c)=h.
% 1.79/2.00 0 [] isomorphism2(a)=f.
% 1.79/2.00 0 [] isomorphism2(b)=h.
% 1.79/2.00 0 [] isomorphism2(c)=g.
% 1.79/2.00 0 [] isomorphism3(a)=g.
% 1.79/2.00 0 [] isomorphism3(b)=f.
% 1.79/2.00 0 [] isomorphism3(c)=h.
% 1.79/2.00 0 [] isomorphism4(a)=g.
% 1.79/2.00 0 [] isomorphism4(b)=h.
% 1.79/2.00 0 [] isomorphism4(c)=f.
% 1.79/2.00 0 [] isomorphism5(a)=h.
% 1.79/2.00 0 [] isomorphism5(b)=g.
% 1.79/2.00 0 [] isomorphism5(c)=f.
% 1.79/2.00 0 [] isomorphism6(a)=h.
% 1.79/2.00 0 [] isomorphism6(b)=f.
% 1.79/2.00 0 [] isomorphism6(c)=g.
% 1.79/2.00 0 [] group_member(d1,g1).
% 1.79/2.00 0 [] group_member(d2,g1).
% 1.79/2.00 0 [] group_member(d3,g1).
% 1.79/2.00 0 [] product(g1,d1,d2,d3).
% 1.79/2.00 0 [] -product(g2,isomorphism1(d1),isomorphism1(d2),isomorphism1(d3))| -product(g2,isomorphism2(d1),isomorphism2(d2),isomorphism2(d3))| -product(g2,isomorphism3(d1),isomorphism3(d2),isomorphism3(d3))| -product(g2,isomorphism4(d1),isomorphism4(d2),isomorphism4(d3))| -product(g2,isomorphism5(d1),isomorphism5(d2),isomorphism5(d3))| -product(g2,isomorphism6(d1),isomorphism6(d2),isomorphism6(d3)).
% 1.79/2.00 end_of_list.
% 1.79/2.00
% 1.79/2.00 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 1.79/2.00
% 1.79/2.00 This ia a non-Horn set with equality. The strategy will be
% 1.79/2.00 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.79/2.00 deletion, with positive clauses in sos and nonpositive
% 1.79/2.00 clauses in usable.
% 1.79/2.00
% 1.79/2.00 dependent: set(knuth_bendix).
% 1.79/2.00 dependent: set(anl_eq).
% 1.79/2.00 dependent: set(para_from).
% 1.79/2.00 dependent: set(para_into).
% 1.79/2.00 dependent: clear(para_from_right).
% 1.79/2.00 dependent: clear(para_into_right).
% 1.79/2.00 dependent: set(para_from_vars).
% 1.79/2.00 dependent: set(eq_units_both_ways).
% 1.79/2.00 dependent: set(dynamic_demod_all).
% 1.79/2.00 dependent: set(dynamic_demod).
% 1.79/2.00 dependent: set(order_eq).
% 1.79/2.00 dependent: set(back_demod).
% 1.79/2.00 dependent: set(lrpo).
% 1.79/2.00 dependent: set(hyper_res).
% 1.79/2.00 dependent: set(unit_deletion).
% 1.79/2.00 dependent: set(factor).
% 1.79/2.00
% 1.79/2.00 ------------> process usable:
% 1.79/2.00 ** KEPT (pick-wt=8): 1 [] -group_member(A,B)|group_member(inverse(B,A),B).
% 1.79/2.00 ** KEPT (pick-wt=14): 2 [] -group_member(A,B)| -group_member(C,B)|product(B,A,C,multiply(B,A,C)).
% 1.79/2.00 ** KEPT (pick-wt=12): 3 [] -group_member(A,B)| -group_member(C,B)|group_member(multiply(B,A,C),B).
% 1.79/2.00 ** KEPT (pick-wt=13): 4 [] -product(A,B,C,D)| -product(A,B,C,E)|E=D.
% 1.79/2.00 ** 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).
% 1.79/2.00 ** 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).
% 1.79/2.00 ** KEPT (pick-wt=3): 8 [copy,7,flip.1] g2!=g1.
% 1.79/2.00 ** KEPT (pick-wt=3): 10 [copy,9,flip.1] b!=a.
% 1.79/2.00 ** KEPT (pick-wt=3): 11 [] c!=a.
% 1.79/2.00 ** KEPT (pick-wt=3): 13 [copy,12,flip.1] c!=b.
% 1.79/2.00 ** KEPT (pick-wt=3): 15 [copy,14,flip.1] g!=f.
% 1.79/2.00 ** KEPT (pick-wt=3): 16 [] h!=f.
% 1.79/2.00 ** KEPT (pick-wt=3): 18 [copy,17,flip.1] h!=g.
% 1.79/2.00 ** KEPT (pick-wt=12): 19 [] -group_member(A,g1)|A=a|A=b|A=c.
% 1.79/2.00 ** KEPT (pick-wt=12): 20 [] -group_member(A,g2)|A=f|A=g|A=h.
% 1.79/2.00 ** KEPT (pick-wt=48): 21 [] -product(g2,isomorphism1(d1),isomorphism1(d2),isomorphism1(d3))| -product(g2,isomorphism2(d1),isomorphism2(d2),isomorphism2(d3))| -product(g2,isomorphism3(d1),isomorphism3(d2),isomorphism3(d3))| -product(g2,isomorphism4(d1),isomorphism4(d2),isomorphism4(d3))| -product(g2,isomorphism5(d1),isomorphism5(d2),isomorphism5(d3))| -product(g2,isomorphism6(d1),isomorphism6(d2),isomorphism6(d3)).
% 1.79/2.00
% 1.79/2.00 ------------> process sos:
% 1.79/2.00 ** KEPT (pick-wt=3): 31 [] A=A.
% 1.79/2.00 ** KEPT (pick-wt=4): 32 [] group_member(identity_for(A),A).
% 1.79/2.00 ** KEPT (pick-wt=6): 33 [] product(A,identity_for(A),B,B).
% 1.79/2.00 ** KEPT (pick-wt=6): 34 [] product(A,B,identity_for(A),B).
% 1.79/2.00 ** KEPT (pick-wt=8): 35 [] product(A,inverse(A,B),B,identity_for(A)).
% 1.79/2.00 ** KEPT (pick-wt=8): 36 [] product(A,B,inverse(A,B),identity_for(A)).
% 1.79/2.00 ** KEPT (pick-wt=3): 37 [] group_member(a,g1).
% 1.79/2.00 ** KEPT (pick-wt=3): 38 [] group_member(b,g1).
% 1.79/2.00 ** KEPT (pick-wt=3): 39 [] group_member(c,g1).
% 1.79/2.00 ** KEPT (pick-wt=3): 40 [] group_member(f,g2).
% 1.79/2.00 ** KEPT (pick-wt=3): 41 [] group_member(g,g2).
% 1.79/2.00 ** KEPT (pick-wt=3): 42 [] group_member(h,g2).
% 1.79/2.00 ** KEPT (pick-wt=4): 43 [] identity_for(g1)=a.
% 1.79/2.00 ---> New Demodulator: 44 [new_demod,43] identity_for(g1)=a.
% 1.79/2.00 ** KEPT (pick-wt=4): 45 [] identity_for(g2)=f.
% 1.79/2.00 ---> New Demodulator: 46 [new_demod,45] identity_for(g2)=f.
% 1.79/2.00 ** KEPT (pick-wt=5): 47 [] product(g1,a,A,A).
% 1.79/2.00 ** KEPT (pick-wt=5): 48 [] product(g1,A,a,A).
% 1.79/2.00 ** KEPT (pick-wt=5): 49 [] product(g2,f,A,A).
% 1.79/2.00 ** KEPT (pick-wt=5): 50 [] product(g2,A,f,A).
% 1.79/2.00 ** KEPT (pick-wt=4): 51 [] isomorphism1(a)=f.
% 1.79/2.00 ---> New Demodulator: 52 [new_demod,51] isomorphism1(a)=f.
% 1.79/2.00 ** KEPT (pick-wt=4): 53 [] isomorphism1(b)=g.
% 1.79/2.00 ---> New Demodulator: 54 [new_demod,53] isomorphism1(b)=g.
% 1.79/2.00 ** KEPT (pick-wt=4): 55 [] isomorphism1(c)=h.
% 1.79/2.00 ---> New Demodulator: 56 [new_demod,55] isomorphism1(c)=h.
% 1.79/2.00 ** KEPT (pick-wt=4): 57 [] isomorphism2(a)=f.
% 1.79/2.00 ---> New Demodulator: 58 [new_demod,57] isomorphism2(a)=f.
% 1.79/2.00 ** KEPT (pick-wt=4): 59 [] isomorphism2(b)=h.
% 1.79/2.00 ---> New Demodulator: 60 [new_demod,59] isomorphism2(b)=h.
% 1.79/2.00 ** KEPT (pick-wt=4): 61 [] isomorphism2(c)=g.
% 1.79/2.00 ---> New Demodulator: 62 [new_demod,61] isomorphism2(c)=g.
% 1.79/2.00 ** KEPT (pick-wt=4): 63 [] isomorphism3(a)=g.
% 1.79/2.00 ---> New Demodulator: 64 [new_demod,63] isomorphism3(a)=g.
% 1.79/2.00 ** KEPT (pick-wt=4): 65 [] isomorphism3(b)=f.
% 1.79/2.00 ---> New Demodulator: 66 [new_demod,65] isomorphism3(b)=f.
% 1.79/2.00 ** KEPT (pick-wt=4): 67 [] isomorphism3(c)=h.
% 1.79/2.00 ---> New Demodulator: 68 [new_demod,67] isomorphism3(c)=h.
% 1.79/2.00 ** KEPT (pick-wt=4): 69 [] isomorphism4(a)=g.
% 1.79/2.00 ---> New Demodulator: 70 [new_demod,69] isomorphism4(a)=g.
% 1.79/2.00 ** KEPT (pick-wt=4): 71 [] isomorphism4(b)=h.
% 1.79/2.00 ---> New Demodulator: 72 [new_demod,71] isomorphism4(b)=h.
% 1.79/2.00 ** KEPT (pick-wt=4): 73 [] isomorphism4(c)=f.
% 1.79/2.00 ---> New Demodulator: 74 [new_demod,73] isomorphism4(c)=f.
% 1.79/2.00 ** KEPT (pick-wt=4): 75 [] isomorphism5(a)=h.
% 1.79/2.00 ---> New Demodulator: 76 [new_demod,75] isomorphism5(a)=h.
% 1.79/2.00 ** KEPT (pick-wt=4): 77 [] isomorphism5(b)=g.
% 1.79/2.00 ---> New Demodulator: 78 [new_demod,77] isomorphism5(b)=g.
% 1.79/2.00 ** KEPT (pick-wt=4): 79 [] isomorphism5(c)=f.
% 1.79/2.00 ---> New Demodulator: 80 [new_demod,79] isomorphism5(c)=f.
% 1.79/2.00 ** KEPT (pick-wt=4): 81 [] isomorphism6(a)=h.
% 1.79/2.00 ---> New Demodulator: 82 [new_demod,81] isomorphism6(a)=h.
% 1.79/2.00 ** KEPT (pick-wt=4): 83 [] isomorphism6(b)=f.
% 1.79/2.00 ---> New Demodulator: 84 [new_demod,83] isomorphism6(b)=f.
% 1.79/2.00 ** KEPT (pick-wt=4): 85 [] isomorphism6(c)=g.
% 1.79/2.00 ---> New Demodulator: 86 [new_demod,85] isomorphism6(c)=g.
% 1.79/2.00 ** KEPT (pick-wt=3): 87 [] group_member(d1,g1).
% 1.79/2.00 ** KEPT (pick-wt=3): 88 [] group_member(d2,g1).
% 1.79/2.00 ** KEPT (pick-wt=3): 89 [] group_member(d3,g1).
% 1.79/2.00 ** KEPT (pick-wt=5): 90 [] product(g1,d1,d2,d3).
% 1.79/2.00 Following clause subsumed by 31 during input processing: 0 [copy,31,flip.1] A=A.
% 1.79/2.00 31 back subsumes 24.
% 1.79/2.00 >>>> Starting back demodulation with 44.
% 135.99/136.19 >>>> Starting back demodulation with 46.
% 135.99/136.19 >>>> Starting back demodulation with 52.
% 135.99/136.19 >>>> Starting back demodulation with 54.
% 135.99/136.19 >>>> Starting back demodulation with 56.
% 135.99/136.19 >>>> Starting back demodulation with 58.
% 135.99/136.19 >>>> Starting back demodulation with 60.
% 135.99/136.19 >>>> Starting back demodulation with 62.
% 135.99/136.19 >>>> Starting back demodulation with 64.
% 135.99/136.19 >>>> Starting back demodulation with 66.
% 135.99/136.19 >>>> Starting back demodulation with 68.
% 135.99/136.19 >>>> Starting back demodulation with 70.
% 135.99/136.19 >>>> Starting back demodulation with 72.
% 135.99/136.19 >>>> Starting back demodulation with 74.
% 135.99/136.19 >>>> Starting back demodulation with 76.
% 135.99/136.19 >>>> Starting back demodulation with 78.
% 135.99/136.19 >>>> Starting back demodulation with 80.
% 135.99/136.19 >>>> Starting back demodulation with 82.
% 135.99/136.19 >>>> Starting back demodulation with 84.
% 135.99/136.19 >>>> Starting back demodulation with 86.
% 135.99/136.19
% 135.99/136.19 ======= end of input processing =======
% 135.99/136.19
% 135.99/136.19 =========== start of search ===========
% 135.99/136.19
% 135.99/136.19
% 135.99/136.19 Resetting weight limit to 9.
% 135.99/136.19
% 135.99/136.19
% 135.99/136.19 Resetting weight limit to 9.
% 135.99/136.19
% 135.99/136.19 sos_size=3946
% 135.99/136.19
% 135.99/136.19 Search stopped because sos empty.
% 135.99/136.19
% 135.99/136.19
% 135.99/136.19 Search stopped because sos empty.
% 135.99/136.19
% 135.99/136.19 ============ end of search ============
% 135.99/136.19
% 135.99/136.19 -------------- statistics -------------
% 135.99/136.19 clauses given 3102
% 135.99/136.19 clauses generated 13025544
% 135.99/136.19 clauses kept 4546
% 135.99/136.19 clauses forward subsumed 10388
% 135.99/136.19 clauses back subsumed 8
% 135.99/136.19 Kbytes malloced 5859
% 135.99/136.19
% 135.99/136.19 ----------- times (seconds) -----------
% 135.99/136.19 user CPU time 134.19 (0 hr, 2 min, 14 sec)
% 135.99/136.19 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 135.99/136.19 wall-clock time 136 (0 hr, 2 min, 16 sec)
% 135.99/136.19
% 135.99/136.19 Process 26905 finished Wed Jul 27 05:13:22 2022
% 135.99/136.19 Otter interrupted
% 135.99/136.19 PROOF NOT FOUND
%------------------------------------------------------------------------------