TSTP Solution File: SEU190+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU190+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n018.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 13:15:06 EDT 2022
% Result : Unknown 16.80s 16.96s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU190+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Jul 27 08:01:16 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.77/1.95 ----- Otter 3.3f, August 2004 -----
% 1.77/1.95 The process was started by sandbox on n018.cluster.edu,
% 1.77/1.95 Wed Jul 27 08:01:16 2022
% 1.77/1.95 The command was "./otter". The process ID is 7271.
% 1.77/1.95
% 1.77/1.95 set(prolog_style_variables).
% 1.77/1.95 set(auto).
% 1.77/1.95 dependent: set(auto1).
% 1.77/1.95 dependent: set(process_input).
% 1.77/1.95 dependent: clear(print_kept).
% 1.77/1.95 dependent: clear(print_new_demod).
% 1.77/1.95 dependent: clear(print_back_demod).
% 1.77/1.95 dependent: clear(print_back_sub).
% 1.77/1.95 dependent: set(control_memory).
% 1.77/1.95 dependent: assign(max_mem, 12000).
% 1.77/1.95 dependent: assign(pick_given_ratio, 4).
% 1.77/1.95 dependent: assign(stats_level, 1).
% 1.77/1.95 dependent: assign(max_seconds, 10800).
% 1.77/1.95 clear(print_given).
% 1.77/1.95
% 1.77/1.95 formula_list(usable).
% 1.77/1.95 all A (A=A).
% 1.77/1.95 all A B (in(A,B)-> -in(B,A)).
% 1.77/1.95 all A (empty(A)->relation(A)).
% 1.77/1.95 all A B (unordered_pair(A,B)=unordered_pair(B,A)).
% 1.77/1.95 all A B (relation(B)-> (B=identity_relation(A)<-> (all C D (in(ordered_pair(C,D),B)<->in(C,A)&C=D)))).
% 1.77/1.95 all A (relation(A)-> (all B (B=relation_dom(A)<-> (all C (in(C,B)<-> (exists D in(ordered_pair(C,D),A))))))).
% 1.77/1.95 all A (relation(A)-> (all B (B=relation_rng(A)<-> (all C (in(C,B)<-> (exists D in(ordered_pair(D,C),A))))))).
% 1.77/1.95 all A B (ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A))).
% 1.77/1.95 $T.
% 1.77/1.95 $T.
% 1.77/1.95 $T.
% 1.77/1.95 $T.
% 1.77/1.95 $T.
% 1.77/1.95 $T.
% 1.77/1.95 all A relation(identity_relation(A)).
% 1.77/1.95 $T.
% 1.77/1.95 all A exists B element(B,A).
% 1.77/1.95 empty(empty_set).
% 1.77/1.95 all A B (-empty(ordered_pair(A,B))).
% 1.77/1.95 all A (-empty(singleton(A))).
% 1.77/1.95 all A B (-empty(unordered_pair(A,B))).
% 1.77/1.95 empty(empty_set).
% 1.77/1.95 relation(empty_set).
% 1.77/1.95 all A (-empty(A)&relation(A)-> -empty(relation_dom(A))).
% 1.77/1.95 all A (-empty(A)&relation(A)-> -empty(relation_rng(A))).
% 1.77/1.95 all A (empty(A)->empty(relation_dom(A))&relation(relation_dom(A))).
% 1.77/1.95 all A (empty(A)->empty(relation_rng(A))&relation(relation_rng(A))).
% 1.77/1.95 exists A (empty(A)&relation(A)).
% 1.77/1.95 exists A empty(A).
% 1.77/1.95 exists A (-empty(A)&relation(A)).
% 1.77/1.95 exists A (-empty(A)).
% 1.77/1.95 all A B (in(A,B)->element(A,B)).
% 1.77/1.95 all A B (element(A,B)->empty(B)|in(A,B)).
% 1.77/1.95 all A B ((all C (in(C,A)<->in(C,B)))->A=B).
% 1.77/1.95 all A (empty(A)->A=empty_set).
% 1.77/1.95 -(all A (relation_dom(identity_relation(A))=A&relation_rng(identity_relation(A))=A)).
% 1.77/1.95 all A B (-(in(A,B)&empty(B))).
% 1.77/1.95 all A B (-(empty(A)&A!=B&empty(B))).
% 1.77/1.95 end_of_list.
% 1.77/1.95
% 1.77/1.95 -------> usable clausifies to:
% 1.77/1.95
% 1.77/1.95 list(usable).
% 1.77/1.95 0 [] A=A.
% 1.77/1.95 0 [] -in(A,B)| -in(B,A).
% 1.77/1.95 0 [] -empty(A)|relation(A).
% 1.77/1.95 0 [] unordered_pair(A,B)=unordered_pair(B,A).
% 1.77/1.95 0 [] -relation(B)|B!=identity_relation(A)| -in(ordered_pair(C,D),B)|in(C,A).
% 1.77/1.95 0 [] -relation(B)|B!=identity_relation(A)| -in(ordered_pair(C,D),B)|C=D.
% 1.77/1.95 0 [] -relation(B)|B!=identity_relation(A)|in(ordered_pair(C,D),B)| -in(C,A)|C!=D.
% 1.77/1.95 0 [] -relation(B)|B=identity_relation(A)|in(ordered_pair($f2(A,B),$f1(A,B)),B)|in($f2(A,B),A).
% 1.77/1.95 0 [] -relation(B)|B=identity_relation(A)|in(ordered_pair($f2(A,B),$f1(A,B)),B)|$f2(A,B)=$f1(A,B).
% 1.77/1.95 0 [] -relation(B)|B=identity_relation(A)| -in(ordered_pair($f2(A,B),$f1(A,B)),B)| -in($f2(A,B),A)|$f2(A,B)!=$f1(A,B).
% 1.77/1.95 0 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f3(A,B,C)),A).
% 1.77/1.95 0 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 1.77/1.95 0 [] -relation(A)|B=relation_dom(A)|in($f5(A,B),B)|in(ordered_pair($f5(A,B),$f4(A,B)),A).
% 1.77/1.95 0 [] -relation(A)|B=relation_dom(A)| -in($f5(A,B),B)| -in(ordered_pair($f5(A,B),X1),A).
% 1.77/1.95 0 [] -relation(A)|B!=relation_rng(A)| -in(C,B)|in(ordered_pair($f6(A,B,C),C),A).
% 1.77/1.95 0 [] -relation(A)|B!=relation_rng(A)|in(C,B)| -in(ordered_pair(D,C),A).
% 1.77/1.95 0 [] -relation(A)|B=relation_rng(A)|in($f8(A,B),B)|in(ordered_pair($f7(A,B),$f8(A,B)),A).
% 1.77/1.95 0 [] -relation(A)|B=relation_rng(A)| -in($f8(A,B),B)| -in(ordered_pair(X2,$f8(A,B)),A).
% 1.77/1.95 0 [] ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A)).
% 1.77/1.95 0 [] $T.
% 1.77/1.95 0 [] $T.
% 1.77/1.95 0 [] $T.
% 1.77/1.95 0 [] $T.
% 1.77/1.95 0 [] $T.
% 1.77/1.95 0 [] $T.
% 1.77/1.95 0 [] relation(identity_relation(A)).
% 1.77/1.95 0 [] $T.
% 1.77/1.95 0 [] element($f9(A),A).
% 1.77/1.95 0 [] empty(empty_set).
% 1.77/1.95 0 [] -empty(ordered_pair(A,B)).
% 1.77/1.95 0 [] -empty(singleton(A)).
% 1.77/1.95 0 [] -empty(unordered_pair(A,B)).
% 1.77/1.95 0 [] empty(empty_set).
% 1.77/1.95 0 [] relation(empty_set).
% 1.77/1.95 0 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 1.77/1.95 0 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 1.77/1.95 0 [] -empty(A)|empty(relation_dom(A)).
% 1.77/1.95 0 [] -empty(A)|relation(relation_dom(A)).
% 1.77/1.95 0 [] -empty(A)|empty(relation_rng(A)).
% 1.77/1.95 0 [] -empty(A)|relation(relation_rng(A)).
% 1.77/1.95 0 [] empty($c1).
% 1.77/1.95 0 [] relation($c1).
% 1.77/1.95 0 [] empty($c2).
% 1.77/1.95 0 [] -empty($c3).
% 1.77/1.95 0 [] relation($c3).
% 1.77/1.95 0 [] -empty($c4).
% 1.77/1.95 0 [] -in(A,B)|element(A,B).
% 1.77/1.95 0 [] -element(A,B)|empty(B)|in(A,B).
% 1.77/1.95 0 [] in($f10(A,B),A)|in($f10(A,B),B)|A=B.
% 1.77/1.95 0 [] -in($f10(A,B),A)| -in($f10(A,B),B)|A=B.
% 1.77/1.95 0 [] -empty(A)|A=empty_set.
% 1.77/1.95 0 [] relation_dom(identity_relation($c5))!=$c5|relation_rng(identity_relation($c5))!=$c5.
% 1.77/1.95 0 [] -in(A,B)| -empty(B).
% 1.77/1.95 0 [] -empty(A)|A=B| -empty(B).
% 1.77/1.95 end_of_list.
% 1.77/1.95
% 1.77/1.95 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 1.77/1.95
% 1.77/1.95 This ia a non-Horn set with equality. The strategy will be
% 1.77/1.95 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.77/1.95 deletion, with positive clauses in sos and nonpositive
% 1.77/1.95 clauses in usable.
% 1.77/1.95
% 1.77/1.95 dependent: set(knuth_bendix).
% 1.77/1.95 dependent: set(anl_eq).
% 1.77/1.95 dependent: set(para_from).
% 1.77/1.95 dependent: set(para_into).
% 1.77/1.95 dependent: clear(para_from_right).
% 1.77/1.95 dependent: clear(para_into_right).
% 1.77/1.95 dependent: set(para_from_vars).
% 1.77/1.95 dependent: set(eq_units_both_ways).
% 1.77/1.95 dependent: set(dynamic_demod_all).
% 1.77/1.95 dependent: set(dynamic_demod).
% 1.77/1.95 dependent: set(order_eq).
% 1.77/1.95 dependent: set(back_demod).
% 1.77/1.95 dependent: set(lrpo).
% 1.77/1.95 dependent: set(hyper_res).
% 1.77/1.95 dependent: set(unit_deletion).
% 1.77/1.95 dependent: set(factor).
% 1.77/1.95
% 1.77/1.95 ------------> process usable:
% 1.77/1.95 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 1.77/1.95 ** KEPT (pick-wt=4): 2 [] -empty(A)|relation(A).
% 1.77/1.95 ** KEPT (pick-wt=14): 3 [] -relation(A)|A!=identity_relation(B)| -in(ordered_pair(C,D),A)|in(C,B).
% 1.77/1.95 ** KEPT (pick-wt=14): 4 [] -relation(A)|A!=identity_relation(B)| -in(ordered_pair(C,D),A)|C=D.
% 1.77/1.95 ** KEPT (pick-wt=17): 5 [] -relation(A)|A!=identity_relation(B)|in(ordered_pair(C,D),A)| -in(C,B)|C!=D.
% 1.77/1.95 ** KEPT (pick-wt=20): 6 [] -relation(A)|A=identity_relation(B)|in(ordered_pair($f2(B,A),$f1(B,A)),A)|in($f2(B,A),B).
% 1.77/1.95 ** KEPT (pick-wt=22): 7 [] -relation(A)|A=identity_relation(B)|in(ordered_pair($f2(B,A),$f1(B,A)),A)|$f2(B,A)=$f1(B,A).
% 1.77/1.95 ** KEPT (pick-wt=27): 8 [] -relation(A)|A=identity_relation(B)| -in(ordered_pair($f2(B,A),$f1(B,A)),A)| -in($f2(B,A),B)|$f2(B,A)!=$f1(B,A).
% 1.77/1.95 ** KEPT (pick-wt=17): 9 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f3(A,B,C)),A).
% 1.77/1.95 ** KEPT (pick-wt=14): 10 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 1.77/1.95 ** KEPT (pick-wt=20): 11 [] -relation(A)|B=relation_dom(A)|in($f5(A,B),B)|in(ordered_pair($f5(A,B),$f4(A,B)),A).
% 1.77/1.95 ** KEPT (pick-wt=18): 12 [] -relation(A)|B=relation_dom(A)| -in($f5(A,B),B)| -in(ordered_pair($f5(A,B),C),A).
% 1.77/1.95 ** KEPT (pick-wt=17): 13 [] -relation(A)|B!=relation_rng(A)| -in(C,B)|in(ordered_pair($f6(A,B,C),C),A).
% 1.77/1.95 ** KEPT (pick-wt=14): 14 [] -relation(A)|B!=relation_rng(A)|in(C,B)| -in(ordered_pair(D,C),A).
% 1.77/1.95 ** KEPT (pick-wt=20): 15 [] -relation(A)|B=relation_rng(A)|in($f8(A,B),B)|in(ordered_pair($f7(A,B),$f8(A,B)),A).
% 1.77/1.95 ** KEPT (pick-wt=18): 16 [] -relation(A)|B=relation_rng(A)| -in($f8(A,B),B)| -in(ordered_pair(C,$f8(A,B)),A).
% 1.77/1.95 ** KEPT (pick-wt=4): 17 [] -empty(ordered_pair(A,B)).
% 1.77/1.95 ** KEPT (pick-wt=3): 18 [] -empty(singleton(A)).
% 1.77/1.95 ** KEPT (pick-wt=4): 19 [] -empty(unordered_pair(A,B)).
% 1.77/1.95 ** KEPT (pick-wt=7): 20 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 1.77/1.95 ** KEPT (pick-wt=7): 21 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 1.77/1.95 ** KEPT (pick-wt=5): 22 [] -empty(A)|empty(relation_dom(A)).
% 1.77/1.95 ** KEPT (pick-wt=5): 23 [] -empty(A)|relation(relation_dom(A)).
% 1.77/1.95 ** KEPT (pick-wt=5): 24 [] -empty(A)|empty(relation_rng(A)).
% 1.77/1.95 ** KEPT (pick-wt=5): 25 [] -empty(A)|relation(relation_rng(A)).
% 1.77/1.95 ** KEPT (pick-wt=2): 26 [] -empty($c3).
% 1.77/1.95 ** KEPT (pick-wt=2): 27 [] -empty($c4).
% 1.77/1.95 ** KEPT (pick-wt=6): 28 [] -in(A,B)|element(A,B).
% 1.77/1.95 ** KEPT (pick-wt=8): 29 [] -element(A,B)|empty(B)|in(A,B).
% 1.77/1.95 ** KEPT (pick-wt=13): 30 [] -in($f10(A,B),A)| -in($f10(A,B),B)|A=B.
% 1.77/1.95 ** KEPT (pick-wt=5): 31 [] -empty(A)|A=empty_set.
% 1.77/1.95 ** KEPT (pick-wt=10): 32 [] relation_dom(identity_relation($c5))!=$c5|relation_rng(identity_relation($c5))!=$c5.
% 1.77/1.95 ** KEPT (pick-wt=5): 33 [] -in(A,B)| -empty(B).
% 1.77/1.95 ** KEPT (pick-wt=7): 34 [] -empty(A)|A=B| -empty(B).
% 1.77/1.95
% 1.77/1.95 ------------> process sos:
% 1.77/1.95 ** KEPT (pick-wt=3): 39 [] A=A.
% 1.77/1.95 ** KEPT (pick-wt=7): 40 [] unordered_pair(A,B)=unordered_pair(B,A).
% 1.77/1.95 ** KEPT (pick-wt=10): 42 [copy,41,flip.1] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 16.80/16.96 ---> New Demodulator: 43 [new_demod,42] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 16.80/16.96 ** KEPT (pick-wt=3): 44 [] relation(identity_relation(A)).
% 16.80/16.96 ** KEPT (pick-wt=4): 45 [] element($f9(A),A).
% 16.80/16.96 ** KEPT (pick-wt=2): 46 [] empty(empty_set).
% 16.80/16.96 Following clause subsumed by 46 during input processing: 0 [] empty(empty_set).
% 16.80/16.96 ** KEPT (pick-wt=2): 47 [] relation(empty_set).
% 16.80/16.96 ** KEPT (pick-wt=2): 48 [] empty($c1).
% 16.80/16.96 ** KEPT (pick-wt=2): 49 [] relation($c1).
% 16.80/16.96 ** KEPT (pick-wt=2): 50 [] empty($c2).
% 16.80/16.96 ** KEPT (pick-wt=2): 51 [] relation($c3).
% 16.80/16.96 ** KEPT (pick-wt=13): 52 [] in($f10(A,B),A)|in($f10(A,B),B)|A=B.
% 16.80/16.96 Following clause subsumed by 39 during input processing: 0 [copy,39,flip.1] A=A.
% 16.80/16.96 39 back subsumes 38.
% 16.80/16.96 39 back subsumes 37.
% 16.80/16.96 Following clause subsumed by 40 during input processing: 0 [copy,40,flip.1] unordered_pair(A,B)=unordered_pair(B,A).
% 16.80/16.96 >>>> Starting back demodulation with 43.
% 16.80/16.96
% 16.80/16.96 ======= end of input processing =======
% 16.80/16.96
% 16.80/16.96 =========== start of search ===========
% 16.80/16.96
% 16.80/16.96
% 16.80/16.96 Resetting weight limit to 8.
% 16.80/16.96
% 16.80/16.96
% 16.80/16.96 Resetting weight limit to 8.
% 16.80/16.96
% 16.80/16.96 sos_size=380
% 16.80/16.96
% 16.80/16.96 Search stopped because sos empty.
% 16.80/16.96
% 16.80/16.96
% 16.80/16.96 Search stopped because sos empty.
% 16.80/16.96
% 16.80/16.96 ============ end of search ============
% 16.80/16.96
% 16.80/16.96 -------------- statistics -------------
% 16.80/16.96 clauses given 599
% 16.80/16.96 clauses generated 629962
% 16.80/16.96 clauses kept 694
% 16.80/16.96 clauses forward subsumed 2176
% 16.80/16.96 clauses back subsumed 17
% 16.80/16.96 Kbytes malloced 7812
% 16.80/16.96
% 16.80/16.96 ----------- times (seconds) -----------
% 16.80/16.96 user CPU time 15.01 (0 hr, 0 min, 15 sec)
% 16.80/16.96 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 16.80/16.96 wall-clock time 17 (0 hr, 0 min, 17 sec)
% 16.80/16.96
% 16.80/16.96 Process 7271 finished Wed Jul 27 08:01:33 2022
% 16.80/16.96 Otter interrupted
% 16.80/16.96 PROOF NOT FOUND
%------------------------------------------------------------------------------