TSTP Solution File: GRP026-3 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP026-3 : TPTP v8.1.0. Bugfixed v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n011.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 37.04s 37.20s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP026-3 : TPTP v8.1.0. Bugfixed v2.0.0.
% 0.00/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n011.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 05:16:25 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.95/2.15 ----- Otter 3.3f, August 2004 -----
% 1.95/2.15 The process was started by sandbox on n011.cluster.edu,
% 1.95/2.15 Wed Jul 27 05:16:25 2022
% 1.95/2.15 The command was "./otter". The process ID is 14571.
% 1.95/2.15
% 1.95/2.15 set(prolog_style_variables).
% 1.95/2.15 set(auto).
% 1.95/2.15 dependent: set(auto1).
% 1.95/2.15 dependent: set(process_input).
% 1.95/2.15 dependent: clear(print_kept).
% 1.95/2.15 dependent: clear(print_new_demod).
% 1.95/2.15 dependent: clear(print_back_demod).
% 1.95/2.15 dependent: clear(print_back_sub).
% 1.95/2.15 dependent: set(control_memory).
% 1.95/2.15 dependent: assign(max_mem, 12000).
% 1.95/2.15 dependent: assign(pick_given_ratio, 4).
% 1.95/2.15 dependent: assign(stats_level, 1).
% 1.95/2.15 dependent: assign(max_seconds, 10800).
% 1.95/2.15 clear(print_given).
% 1.95/2.15
% 1.95/2.15 list(usable).
% 1.95/2.15 0 [] e_qualish(X,X).
% 1.95/2.15 0 [] -e_qualish(X,Y)|e_qualish(Y,X).
% 1.95/2.15 0 [] -e_qualish(X,Y)| -e_qualish(Y,Z)|e_qualish(X,Z).
% 1.95/2.15 0 [] -e_qualish(Xg,Yg)| -product(Xg,X,Y,Z)|product(Yg,X,Y,Z).
% 1.95/2.15 0 [] -e_qualish(X,Y)| -product(Xg,X,Z,W)|product(Xg,Y,Z,W).
% 1.95/2.15 0 [] -e_qualish(X,Y)| -product(Xg,W,X,Z)|product(Xg,W,Y,Z).
% 1.95/2.15 0 [] -e_qualish(X,Y)| -product(Xg,W,Z,X)|product(Xg,W,Z,Y).
% 1.95/2.15 0 [] -e_qualish(Xg,Yg)|e_qualish(multiply(Xg,X,Y),multiply(Yg,X,Y)).
% 1.95/2.15 0 [] -e_qualish(X,Y)|e_qualish(multiply(Xg,X,Z),multiply(Xg,Y,Z)).
% 1.95/2.15 0 [] -e_qualish(X,Y)|e_qualish(multiply(Xg,Z,X),multiply(Xg,Z,Y)).
% 1.95/2.15 0 [] -e_qualish(Xg,Yg)|e_qualish(inverse(Xg,X),inverse(Yg,X)).
% 1.95/2.15 0 [] -e_qualish(X,Y)|e_qualish(inverse(Xg,X),inverse(Xg,Y)).
% 1.95/2.15 0 [] -e_qualish(Xg,Yg)| -group_member(X,Xg)|group_member(X,Yg).
% 1.95/2.15 0 [] -e_qualish(X,Y)| -group_member(X,Xg)|group_member(Y,Xg).
% 1.95/2.15 0 [] -e_qualish(Xg,Yg)|e_qualish(identity_for(Xg),identity_for(Yg)).
% 1.95/2.15 0 [] group_member(identity_for(Xg),Xg).
% 1.95/2.15 0 [] product(Xg,identity_for(Xg),X,X).
% 1.95/2.15 0 [] product(Xg,X,identity_for(Xg),X).
% 1.95/2.15 0 [] -group_member(X,Xg)|group_member(inverse(Xg,X),Xg).
% 1.95/2.15 0 [] product(Xg,inverse(Xg,X),X,identity_for(Xg)).
% 1.95/2.15 0 [] product(Xg,X,inverse(Xg,X),identity_for(Xg)).
% 1.95/2.15 0 [] -group_member(X,Xg)| -group_member(Y,Xg)|product(Xg,X,Y,multiply(Xg,X,Y)).
% 1.95/2.15 0 [] -group_member(X,Xg)| -group_member(Y,Xg)|group_member(multiply(Xg,X,Y),Xg).
% 1.95/2.15 0 [] -product(Xg,X,Y,Z)| -product(Xg,X,Y,W)|e_qualish(W,Z).
% 1.95/2.15 0 [] -product(Xg,X,Y,Xy)| -product(Xg,Y,Z,Yz)| -product(Xg,Xy,Z,Xyz)|product(Xg,X,Yz,Xyz).
% 1.95/2.15 0 [] -product(Xg,X,Y,Xy)| -product(Xg,Y,Z,Yz)| -product(Xg,X,Yz,Xyz)|product(Xg,Xy,Z,Xyz).
% 1.95/2.15 0 [] group_member(a,g1).
% 1.95/2.15 0 [] group_member(b,g1).
% 1.95/2.15 0 [] group_member(c,g1).
% 1.95/2.15 0 [] group_member(f,g2).
% 1.95/2.15 0 [] group_member(g,g2).
% 1.95/2.15 0 [] group_member(h,g2).
% 1.95/2.15 0 [] -group_member(X,g1)|e_qualish(X,a)|e_qualish(X,b)|e_qualish(X,c).
% 1.95/2.15 0 [] -group_member(X,g2)|e_qualish(X,f)|e_qualish(X,g)|e_qualish(X,h).
% 1.95/2.15 0 [] product(g1,a,a,a).
% 1.95/2.15 0 [] product(g1,a,b,b).
% 1.95/2.15 0 [] product(g1,b,a,b).
% 1.95/2.15 0 [] product(g1,a,c,c).
% 1.95/2.15 0 [] product(g1,c,a,c).
% 1.95/2.15 0 [] product(g1,b,b,c).
% 1.95/2.15 0 [] product(g1,b,c,a).
% 1.95/2.15 0 [] product(g1,c,b,a).
% 1.95/2.15 0 [] product(g1,c,c,b).
% 1.95/2.15 0 [] product(g2,f,f,f).
% 1.95/2.15 0 [] product(g2,f,g,g).
% 1.95/2.15 0 [] product(g2,g,f,g).
% 1.95/2.15 0 [] product(g2,f,h,h).
% 1.95/2.15 0 [] product(g2,h,f,h).
% 1.95/2.15 0 [] product(g2,g,g,h).
% 1.95/2.15 0 [] product(g2,g,h,f).
% 1.95/2.15 0 [] product(g2,h,g,f).
% 1.95/2.15 0 [] product(g2,h,h,g).
% 1.95/2.15 0 [] e_qualish(an_isomorphism(a),f).
% 1.95/2.15 0 [] e_qualish(an_isomorphism(b),g).
% 1.95/2.15 0 [] e_qualish(an_isomorphism(c),h).
% 1.95/2.15 0 [] group_member(d1,g1).
% 1.95/2.15 0 [] group_member(d2,g1).
% 1.95/2.15 0 [] group_member(d3,g1).
% 1.95/2.15 0 [] product(g1,d1,d2,d3).
% 1.95/2.15 0 [] -product(g2,an_isomorphism(d1),an_isomorphism(d2),an_isomorphism(d3)).
% 1.95/2.15 end_of_list.
% 1.95/2.15
% 1.95/2.15 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=4.
% 1.95/2.15
% 1.95/2.15 This is a non-Horn set without equality. The strategy will
% 1.95/2.15 be ordered hyper_res, unit deletion, and factoring, with
% 1.95/2.15 satellites in sos and with nuclei in usable.
% 1.95/2.15
% 1.95/2.15 dependent: set(hyper_res).
% 1.95/2.15 dependent: set(factor).
% 1.95/2.15 dependent: set(unit_deletion).
% 1.95/2.15
% 1.95/2.15 ------------> process usable:
% 1.95/2.15 ** KEPT (pick-wt=6): 1 [] -e_qualish(A,B)|e_qualish(B,A).
% 1.95/2.15 ** KEPT (pick-wt=9): 2 [] -e_qualish(A,B)| -e_qualish(B,C)|e_qualish(A,C).
% 1.95/2.15 ** KEPT (pick-wt=13): 3 [] -e_qualish(A,B)| -product(A,C,D,E)|product(B,C,D,E).
% 1.95/2.15 ** KEPT (pick-wt=13): 4 [] -e_qualish(A,B)| -product(C,A,D,E)|product(C,B,D,E).
% 1.95/2.15 ** KEPT (pick-wt=13): 5 [] -e_qualish(A,B)| -product(C,D,A,E)|product(C,D,B,E).
% 1.95/2.15 ** KEPT (pick-wt=13): 6 [] -e_qualish(A,B)| -product(C,D,E,A)|product(C,D,E,B).
% 1.95/2.15 ** KEPT (pick-wt=12): 7 [] -e_qualish(A,B)|e_qualish(multiply(A,C,D),multiply(B,C,D)).
% 37.04/37.20 ** KEPT (pick-wt=12): 8 [] -e_qualish(A,B)|e_qualish(multiply(C,A,D),multiply(C,B,D)).
% 37.04/37.20 ** KEPT (pick-wt=12): 9 [] -e_qualish(A,B)|e_qualish(multiply(C,D,A),multiply(C,D,B)).
% 37.04/37.20 ** KEPT (pick-wt=10): 10 [] -e_qualish(A,B)|e_qualish(inverse(A,C),inverse(B,C)).
% 37.04/37.20 ** KEPT (pick-wt=10): 11 [] -e_qualish(A,B)|e_qualish(inverse(C,A),inverse(C,B)).
% 37.04/37.20 ** KEPT (pick-wt=9): 12 [] -e_qualish(A,B)| -group_member(C,A)|group_member(C,B).
% 37.04/37.20 ** KEPT (pick-wt=9): 13 [] -e_qualish(A,B)| -group_member(A,C)|group_member(B,C).
% 37.04/37.20 ** KEPT (pick-wt=8): 14 [] -e_qualish(A,B)|e_qualish(identity_for(A),identity_for(B)).
% 37.04/37.20 ** KEPT (pick-wt=8): 15 [] -group_member(A,B)|group_member(inverse(B,A),B).
% 37.04/37.20 ** KEPT (pick-wt=14): 16 [] -group_member(A,B)| -group_member(C,B)|product(B,A,C,multiply(B,A,C)).
% 37.04/37.20 ** KEPT (pick-wt=12): 17 [] -group_member(A,B)| -group_member(C,B)|group_member(multiply(B,A,C),B).
% 37.04/37.20 ** KEPT (pick-wt=13): 18 [] -product(A,B,C,D)| -product(A,B,C,E)|e_qualish(E,D).
% 37.04/37.20 ** KEPT (pick-wt=20): 19 [] -product(A,B,C,D)| -product(A,C,E,F)| -product(A,D,E,G)|product(A,B,F,G).
% 37.04/37.20 ** KEPT (pick-wt=20): 20 [] -product(A,B,C,D)| -product(A,C,E,F)| -product(A,B,F,G)|product(A,D,E,G).
% 37.04/37.20 ** KEPT (pick-wt=12): 21 [] -group_member(A,g1)|e_qualish(A,a)|e_qualish(A,b)|e_qualish(A,c).
% 37.04/37.20 ** KEPT (pick-wt=12): 22 [] -group_member(A,g2)|e_qualish(A,f)|e_qualish(A,g)|e_qualish(A,h).
% 37.04/37.20 ** KEPT (pick-wt=8): 23 [] -product(g2,an_isomorphism(d1),an_isomorphism(d2),an_isomorphism(d3)).
% 37.04/37.20
% 37.04/37.20 ------------> process sos:
% 37.04/37.20 ** KEPT (pick-wt=3): 33 [] e_qualish(A,A).
% 37.04/37.20 ** KEPT (pick-wt=4): 34 [] group_member(identity_for(A),A).
% 37.04/37.20 ** KEPT (pick-wt=6): 35 [] product(A,identity_for(A),B,B).
% 37.04/37.20 ** KEPT (pick-wt=6): 36 [] product(A,B,identity_for(A),B).
% 37.04/37.20 ** KEPT (pick-wt=8): 37 [] product(A,inverse(A,B),B,identity_for(A)).
% 37.04/37.20 ** KEPT (pick-wt=8): 38 [] product(A,B,inverse(A,B),identity_for(A)).
% 37.04/37.20 ** KEPT (pick-wt=3): 39 [] group_member(a,g1).
% 37.04/37.20 ** KEPT (pick-wt=3): 40 [] group_member(b,g1).
% 37.04/37.20 ** KEPT (pick-wt=3): 41 [] group_member(c,g1).
% 37.04/37.20 ** KEPT (pick-wt=3): 42 [] group_member(f,g2).
% 37.04/37.20 ** KEPT (pick-wt=3): 43 [] group_member(g,g2).
% 37.04/37.20 ** KEPT (pick-wt=3): 44 [] group_member(h,g2).
% 37.04/37.20 ** KEPT (pick-wt=5): 45 [] product(g1,a,a,a).
% 37.04/37.20 ** KEPT (pick-wt=5): 46 [] product(g1,a,b,b).
% 37.04/37.20 ** KEPT (pick-wt=5): 47 [] product(g1,b,a,b).
% 37.04/37.20 ** KEPT (pick-wt=5): 48 [] product(g1,a,c,c).
% 37.04/37.20 ** KEPT (pick-wt=5): 49 [] product(g1,c,a,c).
% 37.04/37.20 ** KEPT (pick-wt=5): 50 [] product(g1,b,b,c).
% 37.04/37.20 ** KEPT (pick-wt=5): 51 [] product(g1,b,c,a).
% 37.04/37.20 ** KEPT (pick-wt=5): 52 [] product(g1,c,b,a).
% 37.04/37.20 ** KEPT (pick-wt=5): 53 [] product(g1,c,c,b).
% 37.04/37.20 ** KEPT (pick-wt=5): 54 [] product(g2,f,f,f).
% 37.04/37.20 ** KEPT (pick-wt=5): 55 [] product(g2,f,g,g).
% 37.04/37.20 ** KEPT (pick-wt=5): 56 [] product(g2,g,f,g).
% 37.04/37.20 ** KEPT (pick-wt=5): 57 [] product(g2,f,h,h).
% 37.04/37.20 ** KEPT (pick-wt=5): 58 [] product(g2,h,f,h).
% 37.04/37.20 ** KEPT (pick-wt=5): 59 [] product(g2,g,g,h).
% 37.04/37.20 ** KEPT (pick-wt=5): 60 [] product(g2,g,h,f).
% 37.04/37.20 ** KEPT (pick-wt=5): 61 [] product(g2,h,g,f).
% 37.04/37.20 ** KEPT (pick-wt=5): 62 [] product(g2,h,h,g).
% 37.04/37.20 ** KEPT (pick-wt=4): 63 [] e_qualish(an_isomorphism(a),f).
% 37.04/37.20 ** KEPT (pick-wt=4): 64 [] e_qualish(an_isomorphism(b),g).
% 37.04/37.20 ** KEPT (pick-wt=4): 65 [] e_qualish(an_isomorphism(c),h).
% 37.04/37.20 ** KEPT (pick-wt=3): 66 [] group_member(d1,g1).
% 37.04/37.20 ** KEPT (pick-wt=3): 67 [] group_member(d2,g1).
% 37.04/37.20 ** KEPT (pick-wt=3): 68 [] group_member(d3,g1).
% 37.04/37.20 ** KEPT (pick-wt=5): 69 [] product(g1,d1,d2,d3).
% 37.04/37.20 33 back subsumes 26.
% 37.04/37.20
% 37.04/37.20 ======= end of input processing =======
% 37.04/37.20
% 37.04/37.20 =========== start of search ===========
% 37.04/37.20
% 37.04/37.20
% 37.04/37.20 Resetting weight limit to 8.
% 37.04/37.20
% 37.04/37.20
% 37.04/37.20 Resetting weight limit to 8.
% 37.04/37.20
% 37.04/37.20 sos_size=5448
% 37.04/37.20
% 37.04/37.20 Search stopped because sos empty.
% 37.04/37.20
% 37.04/37.20
% 37.04/37.20 Search stopped because sos empty.
% 37.04/37.20
% 37.04/37.20 ============ end of search ============
% 37.04/37.20
% 37.04/37.20 -------------- statistics -------------
% 37.04/37.20 clauses given 7367
% 37.04/37.20 clauses generated 11438334
% 37.04/37.20 clauses kept 7579
% 37.04/37.20 clauses forward subsumed 170430
% 37.04/37.20 clauses back subsumed 210
% 37.04/37.20 Kbytes malloced 8789
% 37.04/37.20
% 37.04/37.20 ----------- times (seconds) -----------
% 37.04/37.20 user CPU time 35.04 (0 hr, 0 min, 35 sec)
% 37.04/37.20 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 37.04/37.20 wall-clock time 37 (0 hr, 0 min, 37 sec)
% 37.04/37.20
% 37.04/37.20 Process 14571 finished Wed Jul 27 05:17:02 2022
% 37.04/37.20 Otter interrupted
% 37.04/37.20 PROOF NOT FOUND
%------------------------------------------------------------------------------