TSTP Solution File: SEU011+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU011+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n024.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 299.87s 300.08s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU011+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n024.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 07:55:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.90/2.12 ----- Otter 3.3f, August 2004 -----
% 1.90/2.12 The process was started by sandbox2 on n024.cluster.edu,
% 1.90/2.12 Wed Jul 27 07:55:10 2022
% 1.90/2.12 The command was "./otter". The process ID is 21975.
% 1.90/2.12
% 1.90/2.12 set(prolog_style_variables).
% 1.90/2.12 set(auto).
% 1.90/2.12 dependent: set(auto1).
% 1.90/2.12 dependent: set(process_input).
% 1.90/2.12 dependent: clear(print_kept).
% 1.90/2.12 dependent: clear(print_new_demod).
% 1.90/2.12 dependent: clear(print_back_demod).
% 1.90/2.12 dependent: clear(print_back_sub).
% 1.90/2.12 dependent: set(control_memory).
% 1.90/2.12 dependent: assign(max_mem, 12000).
% 1.90/2.12 dependent: assign(pick_given_ratio, 4).
% 1.90/2.12 dependent: assign(stats_level, 1).
% 1.90/2.12 dependent: assign(max_seconds, 10800).
% 1.90/2.12 clear(print_given).
% 1.90/2.12
% 1.90/2.12 formula_list(usable).
% 1.90/2.12 all A (A=A).
% 1.90/2.12 all A B (in(A,B)-> -in(B,A)).
% 1.90/2.12 all A (empty(A)->function(A)).
% 1.90/2.12 all A (empty(A)->relation(A)).
% 1.90/2.12 all A B (set_intersection2(A,B)=set_intersection2(B,A)).
% 1.90/2.12 all A B C (C=set_intersection2(A,B)<-> (all D (in(D,C)<->in(D,A)&in(D,B)))).
% 1.90/2.12 all A B (relation(A)&relation(B)->relation(relation_composition(A,B))).
% 1.90/2.12 all A relation(identity_relation(A)).
% 1.90/2.12 all A exists B element(B,A).
% 1.90/2.12 all A B (empty(A)&relation(B)->empty(relation_composition(B,A))&relation(relation_composition(B,A))).
% 1.90/2.12 empty(empty_set).
% 1.90/2.12 relation(empty_set).
% 1.90/2.12 relation_empty_yielding(empty_set).
% 1.90/2.12 all A B (relation(A)&function(A)&relation(B)&function(B)->relation(relation_composition(A,B))&function(relation_composition(A,B))).
% 1.90/2.12 all A B (relation(A)&relation(B)->relation(set_intersection2(A,B))).
% 1.90/2.12 all A (-empty(powerset(A))).
% 1.90/2.12 empty(empty_set).
% 1.90/2.12 all A (relation(identity_relation(A))&function(identity_relation(A))).
% 1.90/2.12 empty(empty_set).
% 1.90/2.12 relation(empty_set).
% 1.90/2.12 all A (-empty(A)&relation(A)-> -empty(relation_dom(A))).
% 1.90/2.12 all A (empty(A)->empty(relation_dom(A))&relation(relation_dom(A))).
% 1.90/2.12 all A B (empty(A)&relation(B)->empty(relation_composition(A,B))&relation(relation_composition(A,B))).
% 1.90/2.12 all A B (set_intersection2(A,A)=A).
% 1.90/2.12 exists A (relation(A)&function(A)).
% 1.90/2.12 exists A (empty(A)&relation(A)).
% 1.90/2.12 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 1.90/2.12 exists A empty(A).
% 1.90/2.12 exists A (-empty(A)&relation(A)).
% 1.90/2.12 all A exists B (element(B,powerset(A))&empty(B)).
% 1.90/2.12 exists A (-empty(A)).
% 1.90/2.12 exists A (relation(A)&relation_empty_yielding(A)).
% 1.90/2.12 all A B subset(A,A).
% 1.90/2.12 all A B (in(A,B)->element(A,B)).
% 1.90/2.12 all A B (relation(B)&function(B)-> (all C (relation(C)&function(C)-> (in(A,relation_dom(relation_composition(C,B)))->apply(relation_composition(C,B),A)=apply(B,apply(C,A)))))).
% 1.90/2.12 all A (set_intersection2(A,empty_set)=empty_set).
% 1.90/2.12 all A B (element(A,B)->empty(B)|in(A,B)).
% 1.90/2.12 all A B (relation(B)&function(B)-> (B=identity_relation(A)<->relation_dom(B)=A& (all C (in(C,A)->apply(B,C)=C)))).
% 1.90/2.12 all A B (relation(B)&function(B)->relation_dom(relation_composition(identity_relation(A),B))=set_intersection2(relation_dom(B),A)).
% 1.90/2.12 all A B (element(A,powerset(B))<->subset(A,B)).
% 1.90/2.12 -(all A B (relation_composition(identity_relation(B),identity_relation(A))=identity_relation(set_intersection2(A,B)))).
% 1.90/2.12 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 1.90/2.12 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 1.90/2.12 all A (empty(A)->A=empty_set).
% 1.90/2.12 all A B (-(in(A,B)&empty(B))).
% 1.90/2.12 all A B (-(empty(A)&A!=B&empty(B))).
% 1.90/2.12 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)))).
% 1.90/2.12 end_of_list.
% 1.90/2.12
% 1.90/2.12 -------> usable clausifies to:
% 1.90/2.12
% 1.90/2.12 list(usable).
% 1.90/2.12 0 [] A=A.
% 1.90/2.12 0 [] -in(A,B)| -in(B,A).
% 1.90/2.12 0 [] -empty(A)|function(A).
% 1.90/2.12 0 [] -empty(A)|relation(A).
% 1.90/2.12 0 [] set_intersection2(A,B)=set_intersection2(B,A).
% 1.90/2.12 0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,A).
% 1.90/2.12 0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,B).
% 1.90/2.12 0 [] C!=set_intersection2(A,B)|in(D,C)| -in(D,A)| -in(D,B).
% 1.90/2.12 0 [] C=set_intersection2(A,B)|in($f1(A,B,C),C)|in($f1(A,B,C),A).
% 1.90/2.12 0 [] C=set_intersection2(A,B)|in($f1(A,B,C),C)|in($f1(A,B,C),B).
% 1.90/2.12 0 [] C=set_intersection2(A,B)| -in($f1(A,B,C),C)| -in($f1(A,B,C),A)| -in($f1(A,B,C),B).
% 1.90/2.12 0 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 1.90/2.12 0 [] relation(identity_relation(A)).
% 1.90/2.12 0 [] element($f2(A),A).
% 1.90/2.12 0 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 1.90/2.12 0 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 1.90/2.13 0 [] empty(empty_set).
% 1.90/2.13 0 [] relation(empty_set).
% 1.90/2.13 0 [] relation_empty_yielding(empty_set).
% 1.90/2.13 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 1.90/2.13 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 1.90/2.13 0 [] -relation(A)| -relation(B)|relation(set_intersection2(A,B)).
% 1.90/2.13 0 [] -empty(powerset(A)).
% 1.90/2.13 0 [] empty(empty_set).
% 1.90/2.13 0 [] relation(identity_relation(A)).
% 1.90/2.13 0 [] function(identity_relation(A)).
% 1.90/2.13 0 [] empty(empty_set).
% 1.90/2.13 0 [] relation(empty_set).
% 1.90/2.13 0 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 1.90/2.13 0 [] -empty(A)|empty(relation_dom(A)).
% 1.90/2.13 0 [] -empty(A)|relation(relation_dom(A)).
% 1.90/2.13 0 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 1.90/2.13 0 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 1.90/2.13 0 [] set_intersection2(A,A)=A.
% 1.90/2.13 0 [] relation($c1).
% 1.90/2.13 0 [] function($c1).
% 1.90/2.13 0 [] empty($c2).
% 1.90/2.13 0 [] relation($c2).
% 1.90/2.13 0 [] empty(A)|element($f3(A),powerset(A)).
% 1.90/2.13 0 [] empty(A)| -empty($f3(A)).
% 1.90/2.13 0 [] empty($c3).
% 1.90/2.13 0 [] -empty($c4).
% 1.90/2.13 0 [] relation($c4).
% 1.90/2.13 0 [] element($f4(A),powerset(A)).
% 1.90/2.13 0 [] empty($f4(A)).
% 1.90/2.13 0 [] -empty($c5).
% 1.90/2.13 0 [] relation($c6).
% 1.90/2.13 0 [] relation_empty_yielding($c6).
% 1.90/2.13 0 [] subset(A,A).
% 1.90/2.13 0 [] -in(A,B)|element(A,B).
% 1.90/2.13 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(relation_composition(C,B)))|apply(relation_composition(C,B),A)=apply(B,apply(C,A)).
% 1.90/2.13 0 [] set_intersection2(A,empty_set)=empty_set.
% 1.90/2.13 0 [] -element(A,B)|empty(B)|in(A,B).
% 1.90/2.13 0 [] -relation(B)| -function(B)|B!=identity_relation(A)|relation_dom(B)=A.
% 1.90/2.13 0 [] -relation(B)| -function(B)|B!=identity_relation(A)| -in(C,A)|apply(B,C)=C.
% 1.90/2.13 0 [] -relation(B)| -function(B)|B=identity_relation(A)|relation_dom(B)!=A|in($f5(A,B),A).
% 1.90/2.13 0 [] -relation(B)| -function(B)|B=identity_relation(A)|relation_dom(B)!=A|apply(B,$f5(A,B))!=$f5(A,B).
% 1.90/2.13 0 [] -relation(B)| -function(B)|relation_dom(relation_composition(identity_relation(A),B))=set_intersection2(relation_dom(B),A).
% 1.90/2.13 0 [] -element(A,powerset(B))|subset(A,B).
% 1.90/2.13 0 [] element(A,powerset(B))| -subset(A,B).
% 1.90/2.13 0 [] relation_composition(identity_relation($c7),identity_relation($c8))!=identity_relation(set_intersection2($c8,$c7)).
% 1.90/2.13 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 1.90/2.13 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 1.90/2.13 0 [] -empty(A)|A=empty_set.
% 1.90/2.13 0 [] -in(A,B)| -empty(B).
% 1.90/2.13 0 [] -empty(A)|A=B| -empty(B).
% 1.90/2.13 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation_dom(A)!=relation_dom(B)|in($f6(A,B),relation_dom(A))|A=B.
% 1.90/2.13 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation_dom(A)!=relation_dom(B)|apply(A,$f6(A,B))!=apply(B,$f6(A,B))|A=B.
% 1.90/2.13 end_of_list.
% 1.90/2.13
% 1.90/2.13 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 1.90/2.13
% 1.90/2.13 This ia a non-Horn set with equality. The strategy will be
% 1.90/2.13 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.90/2.13 deletion, with positive clauses in sos and nonpositive
% 1.90/2.13 clauses in usable.
% 1.90/2.13
% 1.90/2.13 dependent: set(knuth_bendix).
% 1.90/2.13 dependent: set(anl_eq).
% 1.90/2.13 dependent: set(para_from).
% 1.90/2.13 dependent: set(para_into).
% 1.90/2.13 dependent: clear(para_from_right).
% 1.90/2.13 dependent: clear(para_into_right).
% 1.90/2.13 dependent: set(para_from_vars).
% 1.90/2.13 dependent: set(eq_units_both_ways).
% 1.90/2.13 dependent: set(dynamic_demod_all).
% 1.90/2.13 dependent: set(dynamic_demod).
% 1.90/2.13 dependent: set(order_eq).
% 1.90/2.13 dependent: set(back_demod).
% 1.90/2.13 dependent: set(lrpo).
% 1.90/2.13 dependent: set(hyper_res).
% 1.90/2.13 dependent: set(unit_deletion).
% 1.90/2.13 dependent: set(factor).
% 1.90/2.13
% 1.90/2.13 ------------> process usable:
% 1.90/2.13 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 1.90/2.13 ** KEPT (pick-wt=4): 2 [] -empty(A)|function(A).
% 1.90/2.13 ** KEPT (pick-wt=4): 3 [] -empty(A)|relation(A).
% 1.90/2.13 ** KEPT (pick-wt=11): 4 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,B).
% 1.90/2.13 ** KEPT (pick-wt=11): 5 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,C).
% 1.90/2.13 ** KEPT (pick-wt=14): 6 [] A!=set_intersection2(B,C)|in(D,A)| -in(D,B)| -in(D,C).
% 1.90/2.13 ** KEPT (pick-wt=23): 7 [] A=set_intersection2(B,C)| -in($f1(B,C,A),A)| -in($f1(B,C,A),B)| -in($f1(B,C,A),C).
% 1.90/2.13 ** KEPT (pick-wt=8): 8 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 1.90/2.13 ** KEPT (pick-wt=8): 9 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 1.90/2.13 ** KEPT (pick-wt=8): 10 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 1.90/2.13 Following clause subsumed by 8 during input processing: 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 1.90/2.13 ** KEPT (pick-wt=12): 11 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 1.90/2.13 ** KEPT (pick-wt=8): 12 [] -relation(A)| -relation(B)|relation(set_intersection2(A,B)).
% 1.90/2.13 ** KEPT (pick-wt=3): 13 [] -empty(powerset(A)).
% 1.90/2.13 ** KEPT (pick-wt=7): 14 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 1.90/2.13 ** KEPT (pick-wt=5): 15 [] -empty(A)|empty(relation_dom(A)).
% 1.90/2.13 ** KEPT (pick-wt=5): 16 [] -empty(A)|relation(relation_dom(A)).
% 1.90/2.13 ** KEPT (pick-wt=8): 17 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 1.90/2.13 ** KEPT (pick-wt=8): 18 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 1.90/2.13 ** KEPT (pick-wt=5): 19 [] empty(A)| -empty($f3(A)).
% 1.90/2.13 ** KEPT (pick-wt=2): 20 [] -empty($c4).
% 1.90/2.13 ** KEPT (pick-wt=2): 21 [] -empty($c5).
% 1.90/2.13 ** KEPT (pick-wt=6): 22 [] -in(A,B)|element(A,B).
% 1.90/2.13 ** KEPT (pick-wt=25): 23 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(relation_composition(B,A)))|apply(relation_composition(B,A),C)=apply(A,apply(B,C)).
% 1.90/2.13 ** KEPT (pick-wt=8): 24 [] -element(A,B)|empty(B)|in(A,B).
% 1.90/2.13 ** KEPT (pick-wt=12): 25 [] -relation(A)| -function(A)|A!=identity_relation(B)|relation_dom(A)=B.
% 1.90/2.13 ** KEPT (pick-wt=16): 26 [] -relation(A)| -function(A)|A!=identity_relation(B)| -in(C,B)|apply(A,C)=C.
% 1.90/2.13 ** KEPT (pick-wt=17): 27 [] -relation(A)| -function(A)|A=identity_relation(B)|relation_dom(A)!=B|in($f5(B,A),B).
% 1.90/2.13 ** KEPT (pick-wt=21): 28 [] -relation(A)| -function(A)|A=identity_relation(B)|relation_dom(A)!=B|apply(A,$f5(B,A))!=$f5(B,A).
% 1.90/2.13 ** KEPT (pick-wt=14): 29 [] -relation(A)| -function(A)|relation_dom(relation_composition(identity_relation(B),A))=set_intersection2(relation_dom(A),B).
% 1.90/2.13 ** KEPT (pick-wt=7): 30 [] -element(A,powerset(B))|subset(A,B).
% 1.90/2.13 ** KEPT (pick-wt=7): 31 [] element(A,powerset(B))| -subset(A,B).
% 1.90/2.13 ** KEPT (pick-wt=10): 33 [copy,32,flip.1] identity_relation(set_intersection2($c8,$c7))!=relation_composition(identity_relation($c7),identity_relation($c8)).
% 1.90/2.13 ** KEPT (pick-wt=10): 34 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 1.90/2.13 ** KEPT (pick-wt=9): 35 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 1.90/2.13 ** KEPT (pick-wt=5): 36 [] -empty(A)|A=empty_set.
% 1.90/2.13 ** KEPT (pick-wt=5): 37 [] -in(A,B)| -empty(B).
% 1.90/2.13 ** KEPT (pick-wt=7): 38 [] -empty(A)|A=B| -empty(B).
% 1.90/2.13 ** KEPT (pick-wt=22): 39 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation_dom(A)!=relation_dom(B)|in($f6(A,B),relation_dom(A))|A=B.
% 1.90/2.13 ** KEPT (pick-wt=27): 40 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation_dom(A)!=relation_dom(B)|apply(A,$f6(A,B))!=apply(B,$f6(A,B))|A=B.
% 1.90/2.13
% 1.90/2.13 ------------> process sos:
% 1.90/2.13 ** KEPT (pick-wt=3): 54 [] A=A.
% 1.90/2.13 ** KEPT (pick-wt=7): 55 [] set_intersection2(A,B)=set_intersection2(B,A).
% 1.90/2.13 ** KEPT (pick-wt=17): 56 [] A=set_intersection2(B,C)|in($f1(B,C,A),A)|in($f1(B,C,A),B).
% 1.90/2.13 ** KEPT (pick-wt=17): 57 [] A=set_intersection2(B,C)|in($f1(B,C,A),A)|in($f1(B,C,A),C).
% 1.90/2.13 ** KEPT (pick-wt=3): 58 [] relation(identity_relation(A)).
% 1.90/2.13 ** KEPT (pick-wt=4): 59 [] element($f2(A),A).
% 1.90/2.13 ** KEPT (pick-wt=2): 60 [] empty(empty_set).
% 1.90/2.13 ** KEPT (pick-wt=2): 61 [] relation(empty_set).
% 1.90/2.13 ** KEPT (pick-wt=2): 62 [] relation_empty_yielding(empty_set).
% 1.90/2.13 Following clause subsumed by 60 during input processing: 0 [] empty(empty_set).
% 1.90/2.13 Following clause subsumed by 58 during input processing: 0 [] relation(identity_relation(A)).
% 1.90/2.13 ** KEPT (pick-wt=3): 63 [] function(identity_relation(A)).
% 1.90/2.13 Following clause subsumed by 60 during input processing: 0 [] empty(empty_set).
% 1.90/2.13 Following clause subsumed by 61 during input processing: 0 [] relation(empty_set).
% 1.90/2.13 ** KEPT (pick-wt=5): 64 [] set_intersection2(A,A)=A.
% 1.90/2.13 ---> New Demodulator: 65 [new_demod,64] set_intersection2(A,A)=A.
% 1.90/2.13 ** KEPT (pick-wt=2): 66 [] relation($c1).
% 1.90/2.13 ** KEPT (pick-wt=2): 67 [] function($c1).
% 1.90/2.13 ** KEPT (pick-wt=2): 68 [] empty($c2).
% 1.90/2.13 ** KEPT (pick-wt=2): 69 [] relation($c2).
% 1.90/2.13 ** KEPT (pick-wt=7): 70 [] empty(A)|element($f3(A),powerset(A)).
% 1.90/2.13 ** KEPT (pick-wt=2): 71Alarm clock
% 299.87/300.08 Otter interrupted
% 299.87/300.08 PROOF NOT FOUND
%------------------------------------------------------------------------------