TSTP Solution File: GRP026-4 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP026-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n028.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 217.90s 218.13s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP026-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n028.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 05:06:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.74/1.97 ----- Otter 3.3f, August 2004 -----
% 1.74/1.97 The process was started by sandbox2 on n028.cluster.edu,
% 1.74/1.97 Wed Jul 27 05:06:18 2022
% 1.74/1.97 The command was "./otter". The process ID is 2459.
% 1.74/1.97
% 1.74/1.97 set(prolog_style_variables).
% 1.74/1.97 set(auto).
% 1.74/1.97 dependent: set(auto1).
% 1.74/1.97 dependent: set(process_input).
% 1.74/1.97 dependent: clear(print_kept).
% 1.74/1.97 dependent: clear(print_new_demod).
% 1.74/1.97 dependent: clear(print_back_demod).
% 1.74/1.97 dependent: clear(print_back_sub).
% 1.74/1.97 dependent: set(control_memory).
% 1.74/1.97 dependent: assign(max_mem, 12000).
% 1.74/1.97 dependent: assign(pick_given_ratio, 4).
% 1.74/1.97 dependent: assign(stats_level, 1).
% 1.74/1.97 dependent: assign(max_seconds, 10800).
% 1.74/1.97 clear(print_given).
% 1.74/1.97
% 1.74/1.97 list(usable).
% 1.74/1.97 0 [] A=A.
% 1.74/1.97 0 [] group_member(identity_for(Xg),Xg).
% 1.74/1.97 0 [] product(Xg,identity_for(Xg),X,X).
% 1.74/1.97 0 [] product(Xg,X,identity_for(Xg),X).
% 1.74/1.97 0 [] -group_member(X,Xg)|group_member(inverse(Xg,X),Xg).
% 1.74/1.97 0 [] product(Xg,inverse(Xg,X),X,identity_for(Xg)).
% 1.74/1.97 0 [] product(Xg,X,inverse(Xg,X),identity_for(Xg)).
% 1.74/1.97 0 [] -group_member(X,Xg)| -group_member(Y,Xg)|product(Xg,X,Y,multiply(Xg,X,Y)).
% 1.74/1.97 0 [] -group_member(X,Xg)| -group_member(Y,Xg)|group_member(multiply(Xg,X,Y),Xg).
% 1.74/1.97 0 [] -product(Xg,X,Y,Z)| -product(Xg,X,Y,W)|W=Z.
% 1.74/1.97 0 [] -product(Xg,X,Y,Xy)| -product(Xg,Y,Z,Yz)| -product(Xg,Xy,Z,Xyz)|product(Xg,X,Yz,Xyz).
% 1.74/1.97 0 [] -product(Xg,X,Y,Xy)| -product(Xg,Y,Z,Yz)| -product(Xg,X,Yz,Xyz)|product(Xg,Xy,Z,Xyz).
% 1.74/1.97 0 [] -product(Xg,X,Z,Y)| -product(Xg,X,W,Y)|W=Z.
% 1.74/1.97 0 [] -product(Xg,Z,Y,X)| -product(Xg,W,Y,X)|W=Z.
% 1.74/1.97 0 [] g1!=g2.
% 1.74/1.97 0 [] group_member(a,g1).
% 1.74/1.97 0 [] group_member(b,g1).
% 1.74/1.97 0 [] group_member(c,g1).
% 1.74/1.97 0 [] a!=b.
% 1.74/1.97 0 [] c!=a.
% 1.74/1.97 0 [] b!=c.
% 1.74/1.97 0 [] group_member(f,g2).
% 1.74/1.97 0 [] group_member(g,g2).
% 1.74/1.97 0 [] group_member(h,g2).
% 1.74/1.97 0 [] f!=g.
% 1.74/1.97 0 [] h!=f.
% 1.74/1.97 0 [] g!=h.
% 1.74/1.97 0 [] -group_member(X,g1)|X=a|X=b|X=c.
% 1.74/1.97 0 [] -group_member(X,g2)|X=f|X=g|X=h.
% 1.74/1.97 0 [] identity_for(g1)=a.
% 1.74/1.97 0 [] identity_for(g2)=f.
% 1.74/1.97 0 [] product(g1,a,X,X).
% 1.74/1.97 0 [] product(g1,X,a,X).
% 1.74/1.97 0 [] product(g2,f,X,X).
% 1.74/1.97 0 [] product(g2,X,f,X).
% 1.74/1.97 0 [] isomorphism1(a)=f.
% 1.74/1.97 0 [] isomorphism1(b)=g.
% 1.74/1.97 0 [] isomorphism1(c)=h.
% 1.74/1.97 0 [] isomorphism2(a)=f.
% 1.74/1.97 0 [] isomorphism2(b)=h.
% 1.74/1.97 0 [] isomorphism2(c)=g.
% 1.74/1.97 0 [] isomorphism3(a)=g.
% 1.74/1.97 0 [] isomorphism3(b)=f.
% 1.74/1.97 0 [] isomorphism3(c)=h.
% 1.74/1.97 0 [] isomorphism4(a)=g.
% 1.74/1.97 0 [] isomorphism4(b)=h.
% 1.74/1.97 0 [] isomorphism4(c)=f.
% 1.74/1.97 0 [] isomorphism5(a)=h.
% 1.74/1.97 0 [] isomorphism5(b)=g.
% 1.74/1.97 0 [] isomorphism5(c)=f.
% 1.74/1.97 0 [] isomorphism6(a)=h.
% 1.74/1.97 0 [] isomorphism6(b)=f.
% 1.74/1.97 0 [] isomorphism6(c)=g.
% 1.74/1.97 0 [] group_member(d1,g1).
% 1.74/1.97 0 [] group_member(d2,g1).
% 1.74/1.97 0 [] group_member(d3,g1).
% 1.74/1.97 0 [] product(g1,d1,d2,d3).
% 1.74/1.97 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)).
% 1.74/1.97 end_of_list.
% 1.74/1.97
% 1.74/1.97 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 1.74/1.97
% 1.74/1.97 This ia a non-Horn set with equality. The strategy will be
% 1.74/1.97 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.74/1.97 deletion, with positive clauses in sos and nonpositive
% 1.74/1.97 clauses in usable.
% 1.74/1.97
% 1.74/1.97 dependent: set(knuth_bendix).
% 1.74/1.97 dependent: set(anl_eq).
% 1.74/1.97 dependent: set(para_from).
% 1.74/1.97 dependent: set(para_into).
% 1.74/1.97 dependent: clear(para_from_right).
% 1.74/1.97 dependent: clear(para_into_right).
% 1.74/1.97 dependent: set(para_from_vars).
% 1.74/1.97 dependent: set(eq_units_both_ways).
% 1.74/1.97 dependent: set(dynamic_demod_all).
% 1.74/1.97 dependent: set(dynamic_demod).
% 1.74/1.97 dependent: set(order_eq).
% 1.74/1.97 dependent: set(back_demod).
% 1.74/1.97 dependent: set(lrpo).
% 1.74/1.97 dependent: set(hyper_res).
% 1.74/1.97 dependent: set(unit_deletion).
% 1.74/1.97 dependent: set(factor).
% 1.74/1.97
% 1.74/1.97 ------------> process usable:
% 1.74/1.97 ** KEPT (pick-wt=8): 1 [] -group_member(A,B)|group_member(inverse(B,A),B).
% 1.74/1.97 ** KEPT (pick-wt=14): 2 [] -group_member(A,B)| -group_member(C,B)|product(B,A,C,multiply(B,A,C)).
% 1.74/1.97 ** KEPT (pick-wt=12): 3 [] -group_member(A,B)| -group_member(C,B)|group_member(multiply(B,A,C),B).
% 1.74/1.97 ** KEPT (pick-wt=13): 4 [] -product(A,B,C,D)| -product(A,B,C,E)|E=D.
% 1.74/1.97 ** 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).
% 1.74/1.97 ** 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).
% 1.74/1.97 ** KEPT (pick-wt=13): 7 [] -product(A,B,C,D)| -product(A,B,E,D)|E=C.
% 1.74/1.97 ** KEPT (pick-wt=13): 8 [] -product(A,B,C,D)| -product(A,E,C,D)|E=B.
% 1.74/1.97 ** KEPT (pick-wt=3): 10 [copy,9,flip.1] g2!=g1.
% 1.74/1.97 ** KEPT (pick-wt=3): 12 [copy,11,flip.1] b!=a.
% 1.74/1.97 ** KEPT (pick-wt=3): 13 [] c!=a.
% 1.74/1.97 ** KEPT (pick-wt=3): 15 [copy,14,flip.1] c!=b.
% 1.74/1.97 ** KEPT (pick-wt=3): 17 [copy,16,flip.1] g!=f.
% 1.74/1.97 ** KEPT (pick-wt=3): 18 [] h!=f.
% 1.74/1.97 ** KEPT (pick-wt=3): 20 [copy,19,flip.1] h!=g.
% 1.74/1.97 ** KEPT (pick-wt=12): 21 [] -group_member(A,g1)|A=a|A=b|A=c.
% 1.74/1.97 ** KEPT (pick-wt=12): 22 [] -group_member(A,g2)|A=f|A=g|A=h.
% 1.74/1.97 ** KEPT (pick-wt=48): 23 [] -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)).
% 1.74/1.97
% 1.74/1.97 ------------> process sos:
% 1.74/1.97 ** KEPT (pick-wt=3): 35 [] A=A.
% 1.74/1.97 ** KEPT (pick-wt=4): 36 [] group_member(identity_for(A),A).
% 1.74/1.97 ** KEPT (pick-wt=6): 37 [] product(A,identity_for(A),B,B).
% 1.74/1.97 ** KEPT (pick-wt=6): 38 [] product(A,B,identity_for(A),B).
% 1.74/1.97 ** KEPT (pick-wt=8): 39 [] product(A,inverse(A,B),B,identity_for(A)).
% 1.74/1.97 ** KEPT (pick-wt=8): 40 [] product(A,B,inverse(A,B),identity_for(A)).
% 1.74/1.97 ** KEPT (pick-wt=3): 41 [] group_member(a,g1).
% 1.74/1.97 ** KEPT (pick-wt=3): 42 [] group_member(b,g1).
% 1.74/1.97 ** KEPT (pick-wt=3): 43 [] group_member(c,g1).
% 1.74/1.97 ** KEPT (pick-wt=3): 44 [] group_member(f,g2).
% 1.74/1.97 ** KEPT (pick-wt=3): 45 [] group_member(g,g2).
% 1.74/1.97 ** KEPT (pick-wt=3): 46 [] group_member(h,g2).
% 1.74/1.97 ** KEPT (pick-wt=4): 47 [] identity_for(g1)=a.
% 1.74/1.97 ---> New Demodulator: 48 [new_demod,47] identity_for(g1)=a.
% 1.74/1.97 ** KEPT (pick-wt=4): 49 [] identity_for(g2)=f.
% 1.74/1.97 ---> New Demodulator: 50 [new_demod,49] identity_for(g2)=f.
% 1.74/1.97 ** KEPT (pick-wt=5): 51 [] product(g1,a,A,A).
% 1.74/1.97 ** KEPT (pick-wt=5): 52 [] product(g1,A,a,A).
% 1.74/1.97 ** KEPT (pick-wt=5): 53 [] product(g2,f,A,A).
% 1.74/1.97 ** KEPT (pick-wt=5): 54 [] product(g2,A,f,A).
% 1.74/1.97 ** KEPT (pick-wt=4): 55 [] isomorphism1(a)=f.
% 1.74/1.97 ---> New Demodulator: 56 [new_demod,55] isomorphism1(a)=f.
% 1.74/1.97 ** KEPT (pick-wt=4): 57 [] isomorphism1(b)=g.
% 1.74/1.97 ---> New Demodulator: 58 [new_demod,57] isomorphism1(b)=g.
% 1.74/1.97 ** KEPT (pick-wt=4): 59 [] isomorphism1(c)=h.
% 1.74/1.97 ---> New Demodulator: 60 [new_demod,59] isomorphism1(c)=h.
% 1.74/1.97 ** KEPT (pick-wt=4): 61 [] isomorphism2(a)=f.
% 1.74/1.97 ---> New Demodulator: 62 [new_demod,61] isomorphism2(a)=f.
% 1.74/1.97 ** KEPT (pick-wt=4): 63 [] isomorphism2(b)=h.
% 1.74/1.97 ---> New Demodulator: 64 [new_demod,63] isomorphism2(b)=h.
% 1.74/1.97 ** KEPT (pick-wt=4): 65 [] isomorphism2(c)=g.
% 1.74/1.97 ---> New Demodulator: 66 [new_demod,65] isomorphism2(c)=g.
% 1.74/1.97 ** KEPT (pick-wt=4): 67 [] isomorphism3(a)=g.
% 1.74/1.97 ---> New Demodulator: 68 [new_demod,67] isomorphism3(a)=g.
% 1.74/1.97 ** KEPT (pick-wt=4): 69 [] isomorphism3(b)=f.
% 1.74/1.97 ---> New Demodulator: 70 [new_demod,69] isomorphism3(b)=f.
% 1.74/1.97 ** KEPT (pick-wt=4): 71 [] isomorphism3(c)=h.
% 1.74/1.97 ---> New Demodulator: 72 [new_demod,71] isomorphism3(c)=h.
% 1.74/1.97 ** KEPT (pick-wt=4): 73 [] isomorphism4(a)=g.
% 1.74/1.97 ---> New Demodulator: 74 [new_demod,73] isomorphism4(a)=g.
% 1.74/1.97 ** KEPT (pick-wt=4): 75 [] isomorphism4(b)=h.
% 1.74/1.97 ---> New Demodulator: 76 [new_demod,75] isomorphism4(b)=h.
% 1.74/1.97 ** KEPT (pick-wt=4): 77 [] isomorphism4(c)=f.
% 1.74/1.97 ---> New Demodulator: 78 [new_demod,77] isomorphism4(c)=f.
% 1.74/1.97 ** KEPT (pick-wt=4): 79 [] isomorphism5(a)=h.
% 1.74/1.97 ---> New Demodulator: 80 [new_demod,79] isomorphism5(a)=h.
% 1.74/1.97 ** KEPT (pick-wt=4): 81 [] isomorphism5(b)=g.
% 1.74/1.97 ---> New Demodulator: 82 [new_demod,81] isomorphism5(b)=g.
% 1.74/1.97 ** KEPT (pick-wt=4): 83 [] isomorphism5(c)=f.
% 1.74/1.97 ---> New Demodulator: 84 [new_demod,83] isomorphism5(c)=f.
% 1.74/1.97 ** KEPT (pick-wt=4): 85 [] isomorphism6(a)=h.
% 1.74/1.97 ---> New Demodulator: 86 [new_demod,85] isomorphism6(a)=h.
% 1.74/1.97 ** KEPT (pick-wt=4): 87 [] isomorphism6(b)=f.
% 1.74/1.97 ---> New Demodulator: 88 [new_demod,87] isomorphism6(b)=f.
% 1.74/1.97 ** KEPT (pick-wt=4): 89 [] isomorphism6(c)=g.
% 1.74/1.97 ---> New Demodulator: 90 [new_demod,89] isomorphism6(c)=g.
% 1.74/1.97 ** KEPT (pick-wt=3): 91 [] group_member(d1,g1).
% 1.74/1.97 ** KEPT (pick-wt=3): 92 [] group_member(d2,g1).
% 217.90/218.13 ** KEPT (pick-wt=3): 93 [] group_member(d3,g1).
% 217.90/218.13 ** KEPT (pick-wt=5): 94 [] product(g1,d1,d2,d3).
% 217.90/218.13 Following clause subsumed by 35 during input processing: 0 [copy,35,flip.1] A=A.
% 217.90/218.13 35 back subsumes 34.
% 217.90/218.13 35 back subsumes 33.
% 217.90/218.13 35 back subsumes 26.
% 217.90/218.13 >>>> Starting back demodulation with 48.
% 217.90/218.13 >>>> Starting back demodulation with 50.
% 217.90/218.13 >>>> Starting back demodulation with 56.
% 217.90/218.13 >>>> Starting back demodulation with 58.
% 217.90/218.13 >>>> Starting back demodulation with 60.
% 217.90/218.13 >>>> Starting back demodulation with 62.
% 217.90/218.13 >>>> Starting back demodulation with 64.
% 217.90/218.13 >>>> Starting back demodulation with 66.
% 217.90/218.13 >>>> Starting back demodulation with 68.
% 217.90/218.13 >>>> Starting back demodulation with 70.
% 217.90/218.13 >>>> Starting back demodulation with 72.
% 217.90/218.13 >>>> Starting back demodulation with 74.
% 217.90/218.13 >>>> Starting back demodulation with 76.
% 217.90/218.13 >>>> Starting back demodulation with 78.
% 217.90/218.13 >>>> Starting back demodulation with 80.
% 217.90/218.13 >>>> Starting back demodulation with 82.
% 217.90/218.13 >>>> Starting back demodulation with 84.
% 217.90/218.13 >>>> Starting back demodulation with 86.
% 217.90/218.13 >>>> Starting back demodulation with 88.
% 217.90/218.13 >>>> Starting back demodulation with 90.
% 217.90/218.13
% 217.90/218.13 ======= end of input processing =======
% 217.90/218.13
% 217.90/218.13 =========== start of search ===========
% 217.90/218.13
% 217.90/218.13
% 217.90/218.13 Resetting weight limit to 9.
% 217.90/218.13
% 217.90/218.13
% 217.90/218.13 Resetting weight limit to 9.
% 217.90/218.13
% 217.90/218.13 sos_size=3725
% 217.90/218.13
% 217.90/218.13 Search stopped because sos empty.
% 217.90/218.13
% 217.90/218.13
% 217.90/218.13 Search stopped because sos empty.
% 217.90/218.13
% 217.90/218.13 ============ end of search ============
% 217.90/218.13
% 217.90/218.13 -------------- statistics -------------
% 217.90/218.13 clauses given 3060
% 217.90/218.13 clauses generated 8584251
% 217.90/218.13 clauses kept 4209
% 217.90/218.13 clauses forward subsumed 30281
% 217.90/218.13 clauses back subsumed 7
% 217.90/218.13 Kbytes malloced 5859
% 217.90/218.13
% 217.90/218.13 ----------- times (seconds) -----------
% 217.90/218.13 user CPU time 216.17 (0 hr, 3 min, 36 sec)
% 217.90/218.13 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 217.90/218.13 wall-clock time 218 (0 hr, 3 min, 38 sec)
% 217.90/218.13
% 217.90/218.13 Process 2459 finished Wed Jul 27 05:09:56 2022
% 217.90/218.13 Otter interrupted
% 217.90/218.13 PROOF NOT FOUND
%------------------------------------------------------------------------------