TSTP Solution File: SEU012+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU012+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n020.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 13:14:40 EDT 2022
% Result : Timeout 299.89s 300.03s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU012+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n020.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 07:51:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.13/2.31 ----- Otter 3.3f, August 2004 -----
% 2.13/2.31 The process was started by sandbox on n020.cluster.edu,
% 2.13/2.31 Wed Jul 27 07:51:08 2022
% 2.13/2.31 The command was "./otter". The process ID is 13194.
% 2.13/2.31
% 2.13/2.31 set(prolog_style_variables).
% 2.13/2.31 set(auto).
% 2.13/2.31 dependent: set(auto1).
% 2.13/2.31 dependent: set(process_input).
% 2.13/2.31 dependent: clear(print_kept).
% 2.13/2.31 dependent: clear(print_new_demod).
% 2.13/2.31 dependent: clear(print_back_demod).
% 2.13/2.31 dependent: clear(print_back_sub).
% 2.13/2.31 dependent: set(control_memory).
% 2.13/2.31 dependent: assign(max_mem, 12000).
% 2.13/2.31 dependent: assign(pick_given_ratio, 4).
% 2.13/2.31 dependent: assign(stats_level, 1).
% 2.13/2.31 dependent: assign(max_seconds, 10800).
% 2.13/2.31 clear(print_given).
% 2.13/2.31
% 2.13/2.31 formula_list(usable).
% 2.13/2.31 all A (A=A).
% 2.13/2.31 all A B (in(A,B)-> -in(B,A)).
% 2.13/2.31 all A (empty(A)->function(A)).
% 2.13/2.31 all A (empty(A)->relation(A)).
% 2.13/2.31 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)))))))).
% 2.13/2.31 all A B (relation(A)&relation(B)->relation(relation_composition(A,B))).
% 2.13/2.31 all A relation(identity_relation(A)).
% 2.13/2.31 all A exists B element(B,A).
% 2.13/2.31 all A B (empty(A)&relation(B)->empty(relation_composition(B,A))&relation(relation_composition(B,A))).
% 2.13/2.31 empty(empty_set).
% 2.13/2.31 relation(empty_set).
% 2.13/2.31 relation_empty_yielding(empty_set).
% 2.13/2.31 all A B (relation(A)&function(A)&relation(B)&function(B)->relation(relation_composition(A,B))&function(relation_composition(A,B))).
% 2.13/2.31 all A (-empty(powerset(A))).
% 2.13/2.31 empty(empty_set).
% 2.13/2.31 all A (relation(identity_relation(A))&function(identity_relation(A))).
% 2.13/2.31 empty(empty_set).
% 2.13/2.31 relation(empty_set).
% 2.13/2.31 all A (-empty(A)&relation(A)-> -empty(relation_dom(A))).
% 2.13/2.31 all A (-empty(A)&relation(A)-> -empty(relation_rng(A))).
% 2.13/2.31 all A (empty(A)->empty(relation_dom(A))&relation(relation_dom(A))).
% 2.13/2.31 all A (empty(A)->empty(relation_rng(A))&relation(relation_rng(A))).
% 2.13/2.31 all A B (empty(A)&relation(B)->empty(relation_composition(A,B))&relation(relation_composition(A,B))).
% 2.13/2.31 exists A (relation(A)&function(A)).
% 2.13/2.31 exists A (empty(A)&relation(A)).
% 2.13/2.31 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 2.13/2.31 exists A empty(A).
% 2.13/2.31 exists A (-empty(A)&relation(A)).
% 2.13/2.31 all A exists B (element(B,powerset(A))&empty(B)).
% 2.13/2.31 exists A (-empty(A)).
% 2.13/2.31 exists A (relation(A)&relation_empty_yielding(A)).
% 2.13/2.31 all A B subset(A,A).
% 2.13/2.31 all A B (in(A,B)->element(A,B)).
% 2.13/2.31 all A B (relation(B)&function(B)-> (all C (relation(C)&function(C)-> (in(A,relation_dom(B))->apply(relation_composition(B,C),A)=apply(C,apply(B,A)))))).
% 2.13/2.31 all A B (element(A,B)->empty(B)|in(A,B)).
% 2.13/2.31 all A B (relation(B)&function(B)-> (B=identity_relation(A)<->relation_dom(B)=A& (all C (in(C,A)->apply(B,C)=C)))).
% 2.13/2.31 all A B (element(A,powerset(B))<->subset(A,B)).
% 2.13/2.31 -(all A (relation(A)&function(A)-> (all B (relation(B)&function(B)-> (relation_rng(A)=relation_dom(B)&relation_composition(A,B)=A->B=identity_relation(relation_dom(B))))))).
% 2.13/2.31 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 2.13/2.31 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 2.13/2.31 all A (empty(A)->A=empty_set).
% 2.13/2.31 all A B (-(in(A,B)&empty(B))).
% 2.13/2.31 all A B (-(empty(A)&A!=B&empty(B))).
% 2.13/2.31 end_of_list.
% 2.13/2.31
% 2.13/2.31 -------> usable clausifies to:
% 2.13/2.31
% 2.13/2.31 list(usable).
% 2.13/2.31 0 [] A=A.
% 2.13/2.31 0 [] -in(A,B)| -in(B,A).
% 2.13/2.31 0 [] -empty(A)|function(A).
% 2.13/2.31 0 [] -empty(A)|relation(A).
% 2.13/2.31 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f1(A,B,C),relation_dom(A)).
% 2.13/2.31 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|C=apply(A,$f1(A,B,C)).
% 2.13/2.31 0 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 2.13/2.31 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f3(A,B),B)|in($f2(A,B),relation_dom(A)).
% 2.13/2.31 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f3(A,B),B)|$f3(A,B)=apply(A,$f2(A,B)).
% 2.13/2.31 0 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f3(A,B),B)| -in(X1,relation_dom(A))|$f3(A,B)!=apply(A,X1).
% 2.13/2.31 0 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 2.13/2.31 0 [] relation(identity_relation(A)).
% 2.13/2.31 0 [] element($f4(A),A).
% 2.13/2.31 0 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 2.13/2.31 0 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 2.13/2.31 0 [] empty(empty_set).
% 2.13/2.31 0 [] relation(empty_set).
% 2.13/2.31 0 [] relation_empty_yielding(empty_set).
% 2.13/2.31 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 2.13/2.31 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 2.13/2.31 0 [] -empty(powerset(A)).
% 2.13/2.31 0 [] empty(empty_set).
% 2.13/2.31 0 [] relation(identity_relation(A)).
% 2.13/2.31 0 [] function(identity_relation(A)).
% 2.13/2.31 0 [] empty(empty_set).
% 2.13/2.31 0 [] relation(empty_set).
% 2.13/2.31 0 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 2.13/2.31 0 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 2.13/2.31 0 [] -empty(A)|empty(relation_dom(A)).
% 2.13/2.31 0 [] -empty(A)|relation(relation_dom(A)).
% 2.13/2.31 0 [] -empty(A)|empty(relation_rng(A)).
% 2.13/2.31 0 [] -empty(A)|relation(relation_rng(A)).
% 2.13/2.31 0 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 2.13/2.31 0 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 2.13/2.31 0 [] relation($c1).
% 2.13/2.31 0 [] function($c1).
% 2.13/2.31 0 [] empty($c2).
% 2.13/2.31 0 [] relation($c2).
% 2.13/2.31 0 [] empty(A)|element($f5(A),powerset(A)).
% 2.13/2.31 0 [] empty(A)| -empty($f5(A)).
% 2.13/2.31 0 [] empty($c3).
% 2.13/2.31 0 [] -empty($c4).
% 2.13/2.31 0 [] relation($c4).
% 2.13/2.31 0 [] element($f6(A),powerset(A)).
% 2.13/2.31 0 [] empty($f6(A)).
% 2.13/2.31 0 [] -empty($c5).
% 2.13/2.31 0 [] relation($c6).
% 2.13/2.31 0 [] relation_empty_yielding($c6).
% 2.13/2.31 0 [] subset(A,A).
% 2.13/2.31 0 [] -in(A,B)|element(A,B).
% 2.13/2.31 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(B))|apply(relation_composition(B,C),A)=apply(C,apply(B,A)).
% 2.13/2.31 0 [] -element(A,B)|empty(B)|in(A,B).
% 2.13/2.31 0 [] -relation(B)| -function(B)|B!=identity_relation(A)|relation_dom(B)=A.
% 2.13/2.31 0 [] -relation(B)| -function(B)|B!=identity_relation(A)| -in(C,A)|apply(B,C)=C.
% 2.13/2.31 0 [] -relation(B)| -function(B)|B=identity_relation(A)|relation_dom(B)!=A|in($f7(A,B),A).
% 2.13/2.31 0 [] -relation(B)| -function(B)|B=identity_relation(A)|relation_dom(B)!=A|apply(B,$f7(A,B))!=$f7(A,B).
% 2.13/2.31 0 [] -element(A,powerset(B))|subset(A,B).
% 2.13/2.31 0 [] element(A,powerset(B))| -subset(A,B).
% 2.13/2.31 0 [] relation($c8).
% 2.13/2.31 0 [] function($c8).
% 2.13/2.31 0 [] relation($c7).
% 2.13/2.31 0 [] function($c7).
% 2.13/2.31 0 [] relation_rng($c8)=relation_dom($c7).
% 2.13/2.31 0 [] relation_composition($c8,$c7)=$c8.
% 2.13/2.31 0 [] $c7!=identity_relation(relation_dom($c7)).
% 2.13/2.31 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.13/2.31 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.13/2.31 0 [] -empty(A)|A=empty_set.
% 2.13/2.31 0 [] -in(A,B)| -empty(B).
% 2.13/2.31 0 [] -empty(A)|A=B| -empty(B).
% 2.13/2.31 end_of_list.
% 2.13/2.31
% 2.13/2.31 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 2.13/2.31
% 2.13/2.31 This ia a non-Horn set with equality. The strategy will be
% 2.13/2.31 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.13/2.31 deletion, with positive clauses in sos and nonpositive
% 2.13/2.31 clauses in usable.
% 2.13/2.31
% 2.13/2.31 dependent: set(knuth_bendix).
% 2.13/2.31 dependent: set(anl_eq).
% 2.13/2.31 dependent: set(para_from).
% 2.13/2.31 dependent: set(para_into).
% 2.13/2.31 dependent: clear(para_from_right).
% 2.13/2.31 dependent: clear(para_into_right).
% 2.13/2.31 dependent: set(para_from_vars).
% 2.13/2.31 dependent: set(eq_units_both_ways).
% 2.13/2.31 dependent: set(dynamic_demod_all).
% 2.13/2.31 dependent: set(dynamic_demod).
% 2.13/2.31 dependent: set(order_eq).
% 2.13/2.31 dependent: set(back_demod).
% 2.13/2.31 dependent: set(lrpo).
% 2.13/2.31 dependent: set(hyper_res).
% 2.13/2.31 dependent: set(unit_deletion).
% 2.13/2.31 dependent: set(factor).
% 2.13/2.31
% 2.13/2.31 ------------> process usable:
% 2.13/2.31 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 2.13/2.31 ** KEPT (pick-wt=4): 2 [] -empty(A)|function(A).
% 2.13/2.31 ** KEPT (pick-wt=4): 3 [] -empty(A)|relation(A).
% 2.13/2.31 ** KEPT (pick-wt=18): 4 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f1(A,B,C),relation_dom(A)).
% 2.13/2.31 ** KEPT (pick-wt=19): 6 [copy,5,flip.5] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|apply(A,$f1(A,B,C))=C.
% 2.13/2.31 ** KEPT (pick-wt=20): 7 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 2.13/2.31 ** KEPT (pick-wt=19): 8 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f3(A,B),B)|in($f2(A,B),relation_dom(A)).
% 2.13/2.31 ** KEPT (pick-wt=22): 10 [copy,9,flip.5] -relation(A)| -function(A)|B=relation_rng(A)|in($f3(A,B),B)|apply(A,$f2(A,B))=$f3(A,B).
% 2.13/2.31 ** KEPT (pick-wt=24): 11 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f3(A,B),B)| -in(C,relation_dom(A))|$f3(A,B)!=apply(A,C).
% 2.13/2.31 ** KEPT (pick-wt=8): 12 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 2.13/2.31 ** KEPT (pick-wt=8): 13 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 2.13/2.31 ** KEPT (pick-wt=8): 14 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 2.13/2.31 Following clause subsumed by 12 during input processing: 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 2.13/2.31 ** KEPT (pick-wt=12): 15 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 2.13/2.31 ** KEPT (pick-wt=3): 16 [] -empty(powerset(A)).
% 2.13/2.31 ** KEPT (pick-wt=7): 17 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 2.13/2.31 ** KEPT (pick-wt=7): 18 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 2.13/2.31 ** KEPT (pick-wt=5): 19 [] -empty(A)|empty(relation_dom(A)).
% 2.13/2.31 ** KEPT (pick-wt=5): 20 [] -empty(A)|relation(relation_dom(A)).
% 2.13/2.31 ** KEPT (pick-wt=5): 21 [] -empty(A)|empty(relation_rng(A)).
% 2.13/2.31 ** KEPT (pick-wt=5): 22 [] -empty(A)|relation(relation_rng(A)).
% 2.13/2.31 ** KEPT (pick-wt=8): 23 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 2.13/2.31 ** KEPT (pick-wt=8): 24 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 2.13/2.31 ** KEPT (pick-wt=5): 25 [] empty(A)| -empty($f5(A)).
% 2.13/2.31 ** KEPT (pick-wt=2): 26 [] -empty($c4).
% 2.13/2.31 ** KEPT (pick-wt=2): 27 [] -empty($c5).
% 2.13/2.31 ** KEPT (pick-wt=6): 28 [] -in(A,B)|element(A,B).
% 2.13/2.31 ** KEPT (pick-wt=23): 29 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(A))|apply(relation_composition(A,B),C)=apply(B,apply(A,C)).
% 2.13/2.31 ** KEPT (pick-wt=8): 30 [] -element(A,B)|empty(B)|in(A,B).
% 2.13/2.31 ** KEPT (pick-wt=12): 31 [] -relation(A)| -function(A)|A!=identity_relation(B)|relation_dom(A)=B.
% 2.13/2.31 ** KEPT (pick-wt=16): 32 [] -relation(A)| -function(A)|A!=identity_relation(B)| -in(C,B)|apply(A,C)=C.
% 2.13/2.31 ** KEPT (pick-wt=17): 33 [] -relation(A)| -function(A)|A=identity_relation(B)|relation_dom(A)!=B|in($f7(B,A),B).
% 2.13/2.31 ** KEPT (pick-wt=21): 34 [] -relation(A)| -function(A)|A=identity_relation(B)|relation_dom(A)!=B|apply(A,$f7(B,A))!=$f7(B,A).
% 2.13/2.31 ** KEPT (pick-wt=7): 35 [] -element(A,powerset(B))|subset(A,B).
% 2.13/2.31 ** KEPT (pick-wt=7): 36 [] element(A,powerset(B))| -subset(A,B).
% 2.13/2.31 ** KEPT (pick-wt=5): 38 [copy,37,flip.1] identity_relation(relation_dom($c7))!=$c7.
% 2.13/2.31 ** KEPT (pick-wt=10): 39 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.13/2.31 ** KEPT (pick-wt=9): 40 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.13/2.31 ** KEPT (pick-wt=5): 41 [] -empty(A)|A=empty_set.
% 2.13/2.31 ** KEPT (pick-wt=5): 42 [] -in(A,B)| -empty(B).
% 2.13/2.31 ** KEPT (pick-wt=7): 43 [] -empty(A)|A=B| -empty(B).
% 2.13/2.31
% 2.13/2.31 ------------> process sos:
% 2.13/2.31 ** KEPT (pick-wt=3): 50 [] A=A.
% 2.13/2.31 ** KEPT (pick-wt=3): 51 [] relation(identity_relation(A)).
% 2.13/2.31 ** KEPT (pick-wt=4): 52 [] element($f4(A),A).
% 2.13/2.31 ** KEPT (pick-wt=2): 53 [] empty(empty_set).
% 2.13/2.31 ** KEPT (pick-wt=2): 54 [] relation(empty_set).
% 2.13/2.31 ** KEPT (pick-wt=2): 55 [] relation_empty_yielding(empty_set).
% 2.13/2.31 Following clause subsumed by 53 during input processing: 0 [] empty(empty_set).
% 2.13/2.31 Following clause subsumed by 51 during input processing: 0 [] relation(identity_relation(A)).
% 2.13/2.31 ** KEPT (pick-wt=3): 56 [] function(identity_relation(A)).
% 2.13/2.31 Following clause subsumed by 53 during input processing: 0 [] empty(empty_set).
% 2.13/2.31 Following clause subsumed by 54 during input processing: 0 [] relation(empty_set).
% 2.13/2.31 ** KEPT (pick-wt=2): 57 [] relation($c1).
% 2.13/2.31 ** KEPT (pick-wt=2): 58 [] function($c1).
% 2.13/2.31 ** KEPT (pick-wt=2): 59 [] empty($c2).
% 2.13/2.31 ** KEPT (pick-wt=2): 60 [] relation($c2).
% 2.13/2.31 ** KEPT (pick-wt=7): 61 [] empty(A)|element($f5(A),powerset(A)).
% 2.13/2.31 ** KEPT (pick-wt=2): 62 [] empty($c3).
% 2.13/2.31 ** KEPT (pick-wt=2): 63 [] relation($c4).
% 2.13/2.31 ** KEPT (pick-wt=5): 64 [] element($f6(A),powerset(A)).
% 2.13/2.31 ** KEPT (pick-wt=3): 65 [] empty($f6(A)).
% 2.13/2.31 ** KEPT (pick-wt=2): 66 [] relation($c6).
% 2.13/2.31 ** KEPT (pick-wt=2): 67 [] relation_empty_yielding($c6).
% 2.13/2.31 ** KEPT (pick-wt=3): 68 [] subset(A,A).
% 2.13/2.31 ** KEPT (pick-wt=2): 69 [] relation($c8).
% 2.13/2.31 ** KEPT (pick-wt=2): 70 [] function($c8).
% 2.13/2.31 ** KEPT (pick-wt=2): 71 [] relation($c7).
% 2.13/2.31 ** KEPT (pick-wt=2): 72 [] function($c7).
% 2.13/2.31 ** KEPT (pick-wt=5): 73 [] relation_rng($c8)=relation_dom($c7).
% 2.13/2.31 ---> New Demodulator: 74 [new_demod,73] relation_rng($c8)=relation_dom($c7).
% 2.13/2.31 ** KEPT (pick-wt=5): 75 [] relation_composition($c8,$c7)=$c8.
% 2.13/2.31 ---> New Demodulator: 76 [new_demod,75] relation_composition($c8,$c7)=$c8.
% 2.13/2.31 Following clause subsumed by 50 during input processing: 0 [copy,50,flip.1] A=A.
% 2.13/2.31 50 back subsumes 49.
% 2.13/2.31 >>>> Starting back demodulation with 74.
% 2.13/2.31 >>>> StartAlarm clock
% 299.89/300.03 Otter interrupted
% 299.89/300.03 PROOF NOT FOUND
%------------------------------------------------------------------------------