TSTP Solution File: SET995+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SET995+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n015.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 13:14:39 EDT 2022
% Result : Unknown 195.74s 195.90s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET995+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 10:36:27 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.16/2.35 ----- Otter 3.3f, August 2004 -----
% 2.16/2.35 The process was started by sandbox2 on n015.cluster.edu,
% 2.16/2.35 Wed Jul 27 10:36:27 2022
% 2.16/2.35 The command was "./otter". The process ID is 23023.
% 2.16/2.35
% 2.16/2.35 set(prolog_style_variables).
% 2.16/2.35 set(auto).
% 2.16/2.35 dependent: set(auto1).
% 2.16/2.35 dependent: set(process_input).
% 2.16/2.35 dependent: clear(print_kept).
% 2.16/2.35 dependent: clear(print_new_demod).
% 2.16/2.35 dependent: clear(print_back_demod).
% 2.16/2.35 dependent: clear(print_back_sub).
% 2.16/2.35 dependent: set(control_memory).
% 2.16/2.35 dependent: assign(max_mem, 12000).
% 2.16/2.35 dependent: assign(pick_given_ratio, 4).
% 2.16/2.35 dependent: assign(stats_level, 1).
% 2.16/2.35 dependent: assign(max_seconds, 10800).
% 2.16/2.35 clear(print_given).
% 2.16/2.35
% 2.16/2.35 formula_list(usable).
% 2.16/2.35 all A (A=A).
% 2.16/2.35 all A B (in(A,B)-> -in(B,A)).
% 2.16/2.35 all A (empty(A)->function(A)).
% 2.16/2.35 all A (empty(A)->relation(A)).
% 2.16/2.35 all A B (B=singleton(A)<-> (all C (in(C,B)<->C=A))).
% 2.16/2.35 all A (relation(A)&function(A)-> (all B (B=relation_rng(A)<-> (all C (in(C,B)<-> (exists D (in(D,relation_dom(A))&C=apply(A,D)))))))).
% 2.16/2.35 all A exists B element(B,A).
% 2.16/2.35 empty(empty_set).
% 2.16/2.35 relation(empty_set).
% 2.16/2.35 relation_empty_yielding(empty_set).
% 2.16/2.35 all A (-empty(powerset(A))).
% 2.16/2.35 empty(empty_set).
% 2.16/2.35 all A (-empty(singleton(A))).
% 2.16/2.35 empty(empty_set).
% 2.16/2.35 relation(empty_set).
% 2.16/2.35 all A (-empty(A)&relation(A)-> -empty(relation_dom(A))).
% 2.16/2.35 all A (-empty(A)&relation(A)-> -empty(relation_rng(A))).
% 2.16/2.35 all A (empty(A)->empty(relation_dom(A))&relation(relation_dom(A))).
% 2.16/2.35 all A (empty(A)->empty(relation_rng(A))&relation(relation_rng(A))).
% 2.16/2.35 exists A (relation(A)&function(A)).
% 2.16/2.35 exists A (empty(A)&relation(A)).
% 2.16/2.35 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 2.16/2.35 exists A empty(A).
% 2.16/2.35 exists A (-empty(A)&relation(A)).
% 2.16/2.35 all A exists B (element(B,powerset(A))&empty(B)).
% 2.16/2.35 exists A (-empty(A)).
% 2.16/2.35 exists A (relation(A)&relation_empty_yielding(A)).
% 2.16/2.35 all A B subset(A,A).
% 2.16/2.35 -(all A B (relation(B)&function(B)-> (all C (relation(C)&function(C)-> (relation_dom(B)=relation_dom(C)&relation_rng(B)=singleton(A)&relation_rng(C)=singleton(A)->B=C))))).
% 2.16/2.35 all A B (in(A,B)->element(A,B)).
% 2.16/2.35 all A B (element(A,B)->empty(B)|in(A,B)).
% 2.16/2.35 all A B (element(A,powerset(B))<->subset(A,B)).
% 2.16/2.35 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 2.16/2.35 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 2.16/2.35 all A (empty(A)->A=empty_set).
% 2.16/2.35 all A B (-(in(A,B)&empty(B))).
% 2.16/2.35 all A B (-(empty(A)&A!=B&empty(B))).
% 2.16/2.35 all A (relation(A)&function(A)-> (all B (relation(B)&function(B)-> (relation_dom(A)=relation_dom(B)& (all C (in(C,relation_dom(A))->apply(A,C)=apply(B,C)))->A=B)))).
% 2.16/2.35 end_of_list.
% 2.16/2.35
% 2.16/2.35 -------> usable clausifies to:
% 2.16/2.35
% 2.16/2.35 list(usable).
% 2.16/2.35 0 [] A=A.
% 2.16/2.35 0 [] -in(A,B)| -in(B,A).
% 2.16/2.35 0 [] -empty(A)|function(A).
% 2.16/2.35 0 [] -empty(A)|relation(A).
% 2.16/2.35 0 [] B!=singleton(A)| -in(C,B)|C=A.
% 2.16/2.35 0 [] B!=singleton(A)|in(C,B)|C!=A.
% 2.16/2.35 0 [] B=singleton(A)|in($f1(A,B),B)|$f1(A,B)=A.
% 2.16/2.35 0 [] B=singleton(A)| -in($f1(A,B),B)|$f1(A,B)!=A.
% 2.16/2.35 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f2(A,B,C),relation_dom(A)).
% 2.16/2.35 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|C=apply(A,$f2(A,B,C)).
% 2.16/2.35 0 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 2.16/2.35 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f4(A,B),B)|in($f3(A,B),relation_dom(A)).
% 2.16/2.35 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f4(A,B),B)|$f4(A,B)=apply(A,$f3(A,B)).
% 2.16/2.35 0 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f4(A,B),B)| -in(X1,relation_dom(A))|$f4(A,B)!=apply(A,X1).
% 2.16/2.35 0 [] element($f5(A),A).
% 2.16/2.35 0 [] empty(empty_set).
% 2.16/2.35 0 [] relation(empty_set).
% 2.16/2.35 0 [] relation_empty_yielding(empty_set).
% 2.16/2.35 0 [] -empty(powerset(A)).
% 2.16/2.35 0 [] empty(empty_set).
% 2.16/2.35 0 [] -empty(singleton(A)).
% 2.16/2.35 0 [] empty(empty_set).
% 2.16/2.35 0 [] relation(empty_set).
% 2.16/2.35 0 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 2.16/2.35 0 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 2.16/2.35 0 [] -empty(A)|empty(relation_dom(A)).
% 2.16/2.35 0 [] -empty(A)|relation(relation_dom(A)).
% 2.16/2.35 0 [] -empty(A)|empty(relation_rng(A)).
% 2.16/2.35 0 [] -empty(A)|relation(relation_rng(A)).
% 2.16/2.35 0 [] relation($c1).
% 2.16/2.35 0 [] function($c1).
% 2.16/2.35 0 [] empty($c2).
% 2.16/2.35 0 [] relation($c2).
% 2.16/2.35 0 [] empty(A)|element($f6(A),powerset(A)).
% 2.16/2.35 0 [] empty(A)| -empty($f6(A)).
% 2.16/2.35 0 [] empty($c3).
% 2.16/2.35 0 [] -empty($c4).
% 2.16/2.35 0 [] relation($c4).
% 2.16/2.35 0 [] element($f7(A),powerset(A)).
% 2.16/2.35 0 [] empty($f7(A)).
% 2.16/2.35 0 [] -empty($c5).
% 2.16/2.35 0 [] relation($c6).
% 2.16/2.35 0 [] relation_empty_yielding($c6).
% 2.16/2.35 0 [] subset(A,A).
% 2.16/2.35 0 [] relation($c8).
% 2.16/2.35 0 [] function($c8).
% 2.16/2.35 0 [] relation($c7).
% 2.16/2.35 0 [] function($c7).
% 2.16/2.35 0 [] relation_dom($c8)=relation_dom($c7).
% 2.16/2.35 0 [] relation_rng($c8)=singleton($c9).
% 2.16/2.35 0 [] relation_rng($c7)=singleton($c9).
% 2.16/2.35 0 [] $c8!=$c7.
% 2.16/2.35 0 [] -in(A,B)|element(A,B).
% 2.16/2.35 0 [] -element(A,B)|empty(B)|in(A,B).
% 2.16/2.35 0 [] -element(A,powerset(B))|subset(A,B).
% 2.16/2.35 0 [] element(A,powerset(B))| -subset(A,B).
% 2.16/2.35 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.16/2.35 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.16/2.35 0 [] -empty(A)|A=empty_set.
% 2.16/2.35 0 [] -in(A,B)| -empty(B).
% 2.16/2.35 0 [] -empty(A)|A=B| -empty(B).
% 2.16/2.35 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation_dom(A)!=relation_dom(B)|in($f8(A,B),relation_dom(A))|A=B.
% 2.16/2.35 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation_dom(A)!=relation_dom(B)|apply(A,$f8(A,B))!=apply(B,$f8(A,B))|A=B.
% 2.16/2.35 end_of_list.
% 2.16/2.35
% 2.16/2.35 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 2.16/2.35
% 2.16/2.35 This ia a non-Horn set with equality. The strategy will be
% 2.16/2.35 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.16/2.35 deletion, with positive clauses in sos and nonpositive
% 2.16/2.35 clauses in usable.
% 2.16/2.35
% 2.16/2.35 dependent: set(knuth_bendix).
% 2.16/2.35 dependent: set(anl_eq).
% 2.16/2.35 dependent: set(para_from).
% 2.16/2.35 dependent: set(para_into).
% 2.16/2.35 dependent: clear(para_from_right).
% 2.16/2.35 dependent: clear(para_into_right).
% 2.16/2.35 dependent: set(para_from_vars).
% 2.16/2.35 dependent: set(eq_units_both_ways).
% 2.16/2.35 dependent: set(dynamic_demod_all).
% 2.16/2.35 dependent: set(dynamic_demod).
% 2.16/2.35 dependent: set(order_eq).
% 2.16/2.35 dependent: set(back_demod).
% 2.16/2.35 dependent: set(lrpo).
% 2.16/2.35 dependent: set(hyper_res).
% 2.16/2.35 dependent: set(unit_deletion).
% 2.16/2.35 dependent: set(factor).
% 2.16/2.35
% 2.16/2.35 ------------> process usable:
% 2.16/2.35 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 2.16/2.35 ** KEPT (pick-wt=4): 2 [] -empty(A)|function(A).
% 2.16/2.35 ** KEPT (pick-wt=4): 3 [] -empty(A)|relation(A).
% 2.16/2.35 ** KEPT (pick-wt=10): 4 [] A!=singleton(B)| -in(C,A)|C=B.
% 2.16/2.35 ** KEPT (pick-wt=10): 5 [] A!=singleton(B)|in(C,A)|C!=B.
% 2.16/2.35 ** KEPT (pick-wt=14): 6 [] A=singleton(B)| -in($f1(B,A),A)|$f1(B,A)!=B.
% 2.16/2.35 ** KEPT (pick-wt=18): 7 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f2(A,B,C),relation_dom(A)).
% 2.16/2.35 ** KEPT (pick-wt=19): 9 [copy,8,flip.5] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|apply(A,$f2(A,B,C))=C.
% 2.16/2.35 ** KEPT (pick-wt=20): 10 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 2.16/2.35 ** KEPT (pick-wt=19): 11 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f4(A,B),B)|in($f3(A,B),relation_dom(A)).
% 2.16/2.35 ** KEPT (pick-wt=22): 13 [copy,12,flip.5] -relation(A)| -function(A)|B=relation_rng(A)|in($f4(A,B),B)|apply(A,$f3(A,B))=$f4(A,B).
% 2.16/2.35 ** KEPT (pick-wt=24): 14 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f4(A,B),B)| -in(C,relation_dom(A))|$f4(A,B)!=apply(A,C).
% 2.16/2.35 ** KEPT (pick-wt=3): 15 [] -empty(powerset(A)).
% 2.16/2.35 ** KEPT (pick-wt=3): 16 [] -empty(singleton(A)).
% 2.16/2.35 ** KEPT (pick-wt=7): 17 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 2.16/2.35 ** KEPT (pick-wt=7): 18 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 2.16/2.35 ** KEPT (pick-wt=5): 19 [] -empty(A)|empty(relation_dom(A)).
% 2.16/2.35 ** KEPT (pick-wt=5): 20 [] -empty(A)|relation(relation_dom(A)).
% 2.16/2.35 ** KEPT (pick-wt=5): 21 [] -empty(A)|empty(relation_rng(A)).
% 2.16/2.35 ** KEPT (pick-wt=5): 22 [] -empty(A)|relation(relation_rng(A)).
% 2.16/2.35 ** KEPT (pick-wt=5): 23 [] empty(A)| -empty($f6(A)).
% 2.16/2.35 ** KEPT (pick-wt=2): 24 [] -empty($c4).
% 2.16/2.35 ** KEPT (pick-wt=2): 25 [] -empty($c5).
% 2.16/2.35 ** KEPT (pick-wt=3): 26 [] $c8!=$c7.
% 2.16/2.35 ** KEPT (pick-wt=6): 27 [] -in(A,B)|element(A,B).
% 2.16/2.35 ** KEPT (pick-wt=8): 28 [] -element(A,B)|empty(B)|in(A,B).
% 2.16/2.35 ** KEPT (pick-wt=7): 29 [] -element(A,powerset(B))|subset(A,B).
% 2.16/2.35 ** KEPT (pick-wt=7): 30 [] element(A,powerset(B))| -subset(A,B).
% 2.16/2.35 ** KEPT (pick-wt=10): 31 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.16/2.35 ** KEPT (pick-wt=9): 32 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.16/2.35 ** KEPT (pick-wt=5): 33 [] -empty(A)|A=empty_set.
% 2.16/2.35 ** KEPT (pick-wt=5): 34 [] -in(A,B)| -empty(B).
% 2.16/2.35 ** KEPT (pick-wt=7): 35 [] -empty(A)|A=B| -empty(B).
% 2.16/2.35 ** KEPT (pick-wt=22): 36 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation_dom(A)!=relation_dom(B)|in($f8(A,B),relation_dom(A))|A=B.
% 195.74/195.90 ** KEPT (pick-wt=27): 37 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation_dom(A)!=relation_dom(B)|apply(A,$f8(A,B))!=apply(B,$f8(A,B))|A=B.
% 195.74/195.90
% 195.74/195.90 ------------> process sos:
% 195.74/195.90 ** KEPT (pick-wt=3): 43 [] A=A.
% 195.74/195.90 ** KEPT (pick-wt=14): 44 [] A=singleton(B)|in($f1(B,A),A)|$f1(B,A)=B.
% 195.74/195.90 ** KEPT (pick-wt=4): 45 [] element($f5(A),A).
% 195.74/195.90 ** KEPT (pick-wt=2): 46 [] empty(empty_set).
% 195.74/195.90 ** KEPT (pick-wt=2): 47 [] relation(empty_set).
% 195.74/195.90 ** KEPT (pick-wt=2): 48 [] relation_empty_yielding(empty_set).
% 195.74/195.90 Following clause subsumed by 46 during input processing: 0 [] empty(empty_set).
% 195.74/195.90 Following clause subsumed by 46 during input processing: 0 [] empty(empty_set).
% 195.74/195.90 Following clause subsumed by 47 during input processing: 0 [] relation(empty_set).
% 195.74/195.90 ** KEPT (pick-wt=2): 49 [] relation($c1).
% 195.74/195.90 ** KEPT (pick-wt=2): 50 [] function($c1).
% 195.74/195.90 ** KEPT (pick-wt=2): 51 [] empty($c2).
% 195.74/195.90 ** KEPT (pick-wt=2): 52 [] relation($c2).
% 195.74/195.90 ** KEPT (pick-wt=7): 53 [] empty(A)|element($f6(A),powerset(A)).
% 195.74/195.90 ** KEPT (pick-wt=2): 54 [] empty($c3).
% 195.74/195.90 ** KEPT (pick-wt=2): 55 [] relation($c4).
% 195.74/195.90 ** KEPT (pick-wt=5): 56 [] element($f7(A),powerset(A)).
% 195.74/195.90 ** KEPT (pick-wt=3): 57 [] empty($f7(A)).
% 195.74/195.90 ** KEPT (pick-wt=2): 58 [] relation($c6).
% 195.74/195.90 ** KEPT (pick-wt=2): 59 [] relation_empty_yielding($c6).
% 195.74/195.90 ** KEPT (pick-wt=3): 60 [] subset(A,A).
% 195.74/195.90 ** KEPT (pick-wt=2): 61 [] relation($c8).
% 195.74/195.90 ** KEPT (pick-wt=2): 62 [] function($c8).
% 195.74/195.90 ** KEPT (pick-wt=2): 63 [] relation($c7).
% 195.74/195.90 ** KEPT (pick-wt=2): 64 [] function($c7).
% 195.74/195.90 ** KEPT (pick-wt=5): 65 [] relation_dom($c8)=relation_dom($c7).
% 195.74/195.90 ---> New Demodulator: 66 [new_demod,65] relation_dom($c8)=relation_dom($c7).
% 195.74/195.90 ** KEPT (pick-wt=5): 68 [copy,67,flip.1] singleton($c9)=relation_rng($c8).
% 195.74/195.90 ---> New Demodulator: 69 [new_demod,68] singleton($c9)=relation_rng($c8).
% 195.74/195.90 ** KEPT (pick-wt=5): 71 [copy,70,demod,69,flip.1] relation_rng($c8)=relation_rng($c7).
% 195.74/195.90 ---> New Demodulator: 72 [new_demod,71] relation_rng($c8)=relation_rng($c7).
% 195.74/195.90 Following clause subsumed by 43 during input processing: 0 [copy,43,flip.1] A=A.
% 195.74/195.90 43 back subsumes 42.
% 195.74/195.90 43 back subsumes 41.
% 195.74/195.90 43 back subsumes 40.
% 195.74/195.90 >>>> Starting back demodulation with 66.
% 195.74/195.90 >>>> Starting back demodulation with 69.
% 195.74/195.90 >>>> Starting back demodulation with 72.
% 195.74/195.90 >> back demodulating 68 with 72.
% 195.74/195.90 >>>> Starting back demodulation with 74.
% 195.74/195.90
% 195.74/195.90 ======= end of input processing =======
% 195.74/195.90
% 195.74/195.90 =========== start of search ===========
% 195.74/195.90
% 195.74/195.90
% 195.74/195.90 Resetting weight limit to 8.
% 195.74/195.90
% 195.74/195.90
% 195.74/195.90 Resetting weight limit to 8.
% 195.74/195.90
% 195.74/195.90 sos_size=560
% 195.74/195.90
% 195.74/195.90
% 195.74/195.90 Resetting weight limit to 7.
% 195.74/195.90
% 195.74/195.90
% 195.74/195.90 Resetting weight limit to 7.
% 195.74/195.90
% 195.74/195.90 sos_size=574
% 195.74/195.90
% 195.74/195.90 Search stopped because sos empty.
% 195.74/195.90
% 195.74/195.90
% 195.74/195.90 Search stopped because sos empty.
% 195.74/195.90
% 195.74/195.90 ============ end of search ============
% 195.74/195.90
% 195.74/195.90 -------------- statistics -------------
% 195.74/195.90 clauses given 809
% 195.74/195.90 clauses generated 2836322
% 195.74/195.90 clauses kept 983
% 195.74/195.90 clauses forward subsumed 4734
% 195.74/195.90 clauses back subsumed 63
% 195.74/195.90 Kbytes malloced 7812
% 195.74/195.90
% 195.74/195.90 ----------- times (seconds) -----------
% 195.74/195.90 user CPU time 193.54 (0 hr, 3 min, 13 sec)
% 195.74/195.90 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 195.74/195.90 wall-clock time 195 (0 hr, 3 min, 15 sec)
% 195.74/195.90
% 195.74/195.90 Process 23023 finished Wed Jul 27 10:39:42 2022
% 195.74/195.90 Otter interrupted
% 195.74/195.90 PROOF NOT FOUND
%------------------------------------------------------------------------------