TSTP Solution File: SEU203+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU203+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n013.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 13:15:09 EDT 2022
% Result : Unknown 18.48s 18.68s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU203+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n013.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 07:26:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.02/2.22 ----- Otter 3.3f, August 2004 -----
% 2.02/2.22 The process was started by sandbox2 on n013.cluster.edu,
% 2.02/2.22 Wed Jul 27 07:26:30 2022
% 2.02/2.22 The command was "./otter". The process ID is 8473.
% 2.02/2.22
% 2.02/2.22 set(prolog_style_variables).
% 2.02/2.22 set(auto).
% 2.02/2.22 dependent: set(auto1).
% 2.02/2.22 dependent: set(process_input).
% 2.02/2.22 dependent: clear(print_kept).
% 2.02/2.22 dependent: clear(print_new_demod).
% 2.02/2.22 dependent: clear(print_back_demod).
% 2.02/2.22 dependent: clear(print_back_sub).
% 2.02/2.22 dependent: set(control_memory).
% 2.02/2.22 dependent: assign(max_mem, 12000).
% 2.02/2.22 dependent: assign(pick_given_ratio, 4).
% 2.02/2.22 dependent: assign(stats_level, 1).
% 2.02/2.22 dependent: assign(max_seconds, 10800).
% 2.02/2.22 clear(print_given).
% 2.02/2.22
% 2.02/2.22 formula_list(usable).
% 2.02/2.22 all A (A=A).
% 2.02/2.22 all A B (in(A,B)-> -in(B,A)).
% 2.02/2.22 all A (empty(A)->relation(A)).
% 2.02/2.22 all A B (unordered_pair(A,B)=unordered_pair(B,A)).
% 2.02/2.22 all A (relation(A)-> (all B C (C=relation_image(A,B)<-> (all D (in(D,C)<-> (exists E (in(ordered_pair(E,D),A)&in(E,B)))))))).
% 2.02/2.22 all A (relation(A)-> (all B (B=relation_dom(A)<-> (all C (in(C,B)<-> (exists D in(ordered_pair(C,D),A))))))).
% 2.02/2.22 all A B (ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A))).
% 2.02/2.22 $T.
% 2.02/2.22 $T.
% 2.02/2.22 $T.
% 2.02/2.22 $T.
% 2.02/2.22 $T.
% 2.02/2.22 $T.
% 2.02/2.22 $T.
% 2.02/2.22 all A exists B element(B,A).
% 2.02/2.22 empty(empty_set).
% 2.02/2.22 all A B (-empty(ordered_pair(A,B))).
% 2.02/2.22 all A (-empty(singleton(A))).
% 2.02/2.22 all A B (-empty(unordered_pair(A,B))).
% 2.02/2.22 empty(empty_set).
% 2.02/2.22 relation(empty_set).
% 2.02/2.22 all A (-empty(A)&relation(A)-> -empty(relation_dom(A))).
% 2.02/2.22 all A (empty(A)->empty(relation_dom(A))&relation(relation_dom(A))).
% 2.02/2.22 exists A (empty(A)&relation(A)).
% 2.02/2.22 exists A empty(A).
% 2.02/2.22 exists A (-empty(A)&relation(A)).
% 2.02/2.22 exists A (-empty(A)).
% 2.02/2.22 -(all A B C (relation(C)-> (in(A,relation_image(C,B))<-> (exists D (in(D,relation_dom(C))&in(ordered_pair(D,A),C)&in(D,B)))))).
% 2.02/2.22 all A B (in(A,B)->element(A,B)).
% 2.02/2.22 all A B (element(A,B)->empty(B)|in(A,B)).
% 2.02/2.22 all A (empty(A)->A=empty_set).
% 2.02/2.22 all A B (-(in(A,B)&empty(B))).
% 2.02/2.22 all A B (-(empty(A)&A!=B&empty(B))).
% 2.02/2.22 end_of_list.
% 2.02/2.22
% 2.02/2.22 -------> usable clausifies to:
% 2.02/2.22
% 2.02/2.22 list(usable).
% 2.02/2.22 0 [] A=A.
% 2.02/2.22 0 [] -in(A,B)| -in(B,A).
% 2.02/2.22 0 [] -empty(A)|relation(A).
% 2.02/2.22 0 [] unordered_pair(A,B)=unordered_pair(B,A).
% 2.02/2.22 0 [] -relation(A)|C!=relation_image(A,B)| -in(D,C)|in(ordered_pair($f1(A,B,C,D),D),A).
% 2.02/2.22 0 [] -relation(A)|C!=relation_image(A,B)| -in(D,C)|in($f1(A,B,C,D),B).
% 2.02/2.22 0 [] -relation(A)|C!=relation_image(A,B)|in(D,C)| -in(ordered_pair(E,D),A)| -in(E,B).
% 2.02/2.22 0 [] -relation(A)|C=relation_image(A,B)|in($f3(A,B,C),C)|in(ordered_pair($f2(A,B,C),$f3(A,B,C)),A).
% 2.02/2.22 0 [] -relation(A)|C=relation_image(A,B)|in($f3(A,B,C),C)|in($f2(A,B,C),B).
% 2.02/2.22 0 [] -relation(A)|C=relation_image(A,B)| -in($f3(A,B,C),C)| -in(ordered_pair(X1,$f3(A,B,C)),A)| -in(X1,B).
% 2.02/2.22 0 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f4(A,B,C)),A).
% 2.02/2.22 0 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 2.02/2.22 0 [] -relation(A)|B=relation_dom(A)|in($f6(A,B),B)|in(ordered_pair($f6(A,B),$f5(A,B)),A).
% 2.02/2.22 0 [] -relation(A)|B=relation_dom(A)| -in($f6(A,B),B)| -in(ordered_pair($f6(A,B),X2),A).
% 2.02/2.22 0 [] ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A)).
% 2.02/2.22 0 [] $T.
% 2.02/2.22 0 [] $T.
% 2.02/2.22 0 [] $T.
% 2.02/2.22 0 [] $T.
% 2.02/2.22 0 [] $T.
% 2.02/2.22 0 [] $T.
% 2.02/2.22 0 [] $T.
% 2.02/2.22 0 [] element($f7(A),A).
% 2.02/2.22 0 [] empty(empty_set).
% 2.02/2.22 0 [] -empty(ordered_pair(A,B)).
% 2.02/2.22 0 [] -empty(singleton(A)).
% 2.02/2.22 0 [] -empty(unordered_pair(A,B)).
% 2.02/2.22 0 [] empty(empty_set).
% 2.02/2.22 0 [] relation(empty_set).
% 2.02/2.22 0 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 2.02/2.22 0 [] -empty(A)|empty(relation_dom(A)).
% 2.02/2.22 0 [] -empty(A)|relation(relation_dom(A)).
% 2.02/2.22 0 [] empty($c1).
% 2.02/2.22 0 [] relation($c1).
% 2.02/2.22 0 [] empty($c2).
% 2.02/2.22 0 [] -empty($c3).
% 2.02/2.22 0 [] relation($c3).
% 2.02/2.22 0 [] -empty($c4).
% 2.02/2.22 0 [] relation($c6).
% 2.02/2.22 0 [] in($c8,relation_image($c6,$c7))|in($c5,relation_dom($c6)).
% 2.02/2.22 0 [] in($c8,relation_image($c6,$c7))|in(ordered_pair($c5,$c8),$c6).
% 2.02/2.22 0 [] in($c8,relation_image($c6,$c7))|in($c5,$c7).
% 2.02/2.22 0 [] -in($c8,relation_image($c6,$c7))| -in(D,relation_dom($c6))| -in(ordered_pair(D,$c8),$c6)| -in(D,$c7).
% 2.02/2.22 0 [] -in(A,B)|element(A,B).
% 2.02/2.22 0 [] -element(A,B)|empty(B)|in(A,B).
% 2.02/2.22 0 [] -empty(A)|A=empty_set.
% 2.02/2.22 0 [] -in(A,B)| -empty(B).
% 2.02/2.22 0 [] -empty(A)|A=B| -empty(B).
% 2.02/2.22 end_of_list.
% 2.02/2.22
% 2.02/2.22 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 2.02/2.22
% 2.02/2.22 This ia a non-Horn set with equality. The strategy will be
% 2.02/2.22 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 18.48/18.68 deletion, with positive clauses in sos and nonpositive
% 18.48/18.68 clauses in usable.
% 18.48/18.68
% 18.48/18.68 dependent: set(knuth_bendix).
% 18.48/18.68 dependent: set(anl_eq).
% 18.48/18.68 dependent: set(para_from).
% 18.48/18.68 dependent: set(para_into).
% 18.48/18.68 dependent: clear(para_from_right).
% 18.48/18.68 dependent: clear(para_into_right).
% 18.48/18.68 dependent: set(para_from_vars).
% 18.48/18.68 dependent: set(eq_units_both_ways).
% 18.48/18.68 dependent: set(dynamic_demod_all).
% 18.48/18.68 dependent: set(dynamic_demod).
% 18.48/18.68 dependent: set(order_eq).
% 18.48/18.68 dependent: set(back_demod).
% 18.48/18.68 dependent: set(lrpo).
% 18.48/18.68 dependent: set(hyper_res).
% 18.48/18.68 dependent: set(unit_deletion).
% 18.48/18.68 dependent: set(factor).
% 18.48/18.68
% 18.48/18.68 ------------> process usable:
% 18.48/18.68 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 18.48/18.68 ** KEPT (pick-wt=4): 2 [] -empty(A)|relation(A).
% 18.48/18.68 ** KEPT (pick-wt=19): 3 [] -relation(A)|B!=relation_image(A,C)| -in(D,B)|in(ordered_pair($f1(A,C,B,D),D),A).
% 18.48/18.68 ** KEPT (pick-wt=17): 4 [] -relation(A)|B!=relation_image(A,C)| -in(D,B)|in($f1(A,C,B,D),C).
% 18.48/18.68 ** KEPT (pick-wt=18): 5 [] -relation(A)|B!=relation_image(A,C)|in(D,B)| -in(ordered_pair(E,D),A)| -in(E,C).
% 18.48/18.68 ** KEPT (pick-wt=24): 6 [] -relation(A)|B=relation_image(A,C)|in($f3(A,C,B),B)|in(ordered_pair($f2(A,C,B),$f3(A,C,B)),A).
% 18.48/18.68 ** KEPT (pick-wt=19): 7 [] -relation(A)|B=relation_image(A,C)|in($f3(A,C,B),B)|in($f2(A,C,B),C).
% 18.48/18.68 ** KEPT (pick-wt=24): 8 [] -relation(A)|B=relation_image(A,C)| -in($f3(A,C,B),B)| -in(ordered_pair(D,$f3(A,C,B)),A)| -in(D,C).
% 18.48/18.68 ** KEPT (pick-wt=17): 9 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f4(A,B,C)),A).
% 18.48/18.68 ** KEPT (pick-wt=14): 10 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 18.48/18.68 ** KEPT (pick-wt=20): 11 [] -relation(A)|B=relation_dom(A)|in($f6(A,B),B)|in(ordered_pair($f6(A,B),$f5(A,B)),A).
% 18.48/18.68 ** KEPT (pick-wt=18): 12 [] -relation(A)|B=relation_dom(A)| -in($f6(A,B),B)| -in(ordered_pair($f6(A,B),C),A).
% 18.48/18.68 ** KEPT (pick-wt=4): 13 [] -empty(ordered_pair(A,B)).
% 18.48/18.68 ** KEPT (pick-wt=3): 14 [] -empty(singleton(A)).
% 18.48/18.68 ** KEPT (pick-wt=4): 15 [] -empty(unordered_pair(A,B)).
% 18.48/18.68 ** KEPT (pick-wt=7): 16 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 18.48/18.68 ** KEPT (pick-wt=5): 17 [] -empty(A)|empty(relation_dom(A)).
% 18.48/18.68 ** KEPT (pick-wt=5): 18 [] -empty(A)|relation(relation_dom(A)).
% 18.48/18.68 ** KEPT (pick-wt=2): 19 [] -empty($c3).
% 18.48/18.68 ** KEPT (pick-wt=2): 20 [] -empty($c4).
% 18.48/18.68 ** KEPT (pick-wt=17): 21 [] -in($c8,relation_image($c6,$c7))| -in(A,relation_dom($c6))| -in(ordered_pair(A,$c8),$c6)| -in(A,$c7).
% 18.48/18.68 ** KEPT (pick-wt=6): 22 [] -in(A,B)|element(A,B).
% 18.48/18.68 ** KEPT (pick-wt=8): 23 [] -element(A,B)|empty(B)|in(A,B).
% 18.48/18.68 ** KEPT (pick-wt=5): 24 [] -empty(A)|A=empty_set.
% 18.48/18.68 ** KEPT (pick-wt=5): 25 [] -in(A,B)| -empty(B).
% 18.48/18.68 ** KEPT (pick-wt=7): 26 [] -empty(A)|A=B| -empty(B).
% 18.48/18.68
% 18.48/18.68 ------------> process sos:
% 18.48/18.68 ** KEPT (pick-wt=3): 30 [] A=A.
% 18.48/18.68 ** KEPT (pick-wt=7): 31 [] unordered_pair(A,B)=unordered_pair(B,A).
% 18.48/18.68 ** KEPT (pick-wt=10): 33 [copy,32,flip.1] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 18.48/18.68 ---> New Demodulator: 34 [new_demod,33] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 18.48/18.68 ** KEPT (pick-wt=4): 35 [] element($f7(A),A).
% 18.48/18.68 ** KEPT (pick-wt=2): 36 [] empty(empty_set).
% 18.48/18.68 Following clause subsumed by 36 during input processing: 0 [] empty(empty_set).
% 18.48/18.68 ** KEPT (pick-wt=2): 37 [] relation(empty_set).
% 18.48/18.68 ** KEPT (pick-wt=2): 38 [] empty($c1).
% 18.48/18.68 ** KEPT (pick-wt=2): 39 [] relation($c1).
% 18.48/18.68 ** KEPT (pick-wt=2): 40 [] empty($c2).
% 18.48/18.68 ** KEPT (pick-wt=2): 41 [] relation($c3).
% 18.48/18.68 ** KEPT (pick-wt=2): 42 [] relation($c6).
% 18.48/18.68 ** KEPT (pick-wt=9): 43 [] in($c8,relation_image($c6,$c7))|in($c5,relation_dom($c6)).
% 18.48/18.68 ** KEPT (pick-wt=10): 44 [] in($c8,relation_image($c6,$c7))|in(ordered_pair($c5,$c8),$c6).
% 18.48/18.68 ** KEPT (pick-wt=8): 45 [] in($c8,relation_image($c6,$c7))|in($c5,$c7).
% 18.48/18.68 Following clause subsumed by 30 during input processing: 0 [copy,30,flip.1] A=A.
% 18.48/18.68 30 back subsumes 29.
% 18.48/18.68 Following clause subsumed by 31 during input processing: 0 [copy,31,flip.1] unordered_pair(A,B)=unordered_pair(B,A).
% 18.48/18.68 >>>> Starting back demodulation with 34.
% 18.48/18.68
% 18.48/18.68 ======= end of input processing =======
% 18.48/18.68
% 18.48/18.68 =========== start of search ===========
% 18.48/18.68
% 18.48/18.68
% 18.48/18.68 Resetting weight limit to 8.
% 18.48/18.68
% 18.48/18.68
% 18.48/18.68 Resetting weight limit to 8.
% 18.48/18.68
% 18.48/18.68 sos_size=527
% 18.48/18.68
% 18.48/18.68 Search stopped because sos empty.
% 18.48/18.68
% 18.48/18.68
% 18.48/18.68 Search stopped because sos empty.
% 18.48/18.68
% 18.48/18.68 ============ end of search ============
% 18.48/18.68
% 18.48/18.68 -------------- statistics -------------
% 18.48/18.68 clauses given 641
% 18.48/18.68 clauses generated 319841
% 18.48/18.68 clauses kept 842
% 18.48/18.68 clauses forward subsumed 1022
% 18.48/18.68 clauses back subsumed 151
% 18.48/18.68 Kbytes malloced 7812
% 18.48/18.68
% 18.48/18.68 ----------- times (seconds) -----------
% 18.48/18.68 user CPU time 16.45 (0 hr, 0 min, 16 sec)
% 18.48/18.68 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 18.48/18.68 wall-clock time 18 (0 hr, 0 min, 18 sec)
% 18.48/18.68
% 18.48/18.68 Process 8473 finished Wed Jul 27 07:26:48 2022
% 18.48/18.68 Otter interrupted
% 18.48/18.68 PROOF NOT FOUND
%------------------------------------------------------------------------------