TSTP Solution File: SEU185+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU185+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n022.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 13:15:05 EDT 2022
% Result : Unknown 54.93s 55.12s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU185+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n022.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 07:42:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.83/2.02 ----- Otter 3.3f, August 2004 -----
% 1.83/2.02 The process was started by sandbox2 on n022.cluster.edu,
% 1.83/2.02 Wed Jul 27 07:42:20 2022
% 1.83/2.02 The command was "./otter". The process ID is 26078.
% 1.83/2.02
% 1.83/2.02 set(prolog_style_variables).
% 1.83/2.02 set(auto).
% 1.83/2.02 dependent: set(auto1).
% 1.83/2.02 dependent: set(process_input).
% 1.83/2.02 dependent: clear(print_kept).
% 1.83/2.02 dependent: clear(print_new_demod).
% 1.83/2.02 dependent: clear(print_back_demod).
% 1.83/2.02 dependent: clear(print_back_sub).
% 1.83/2.02 dependent: set(control_memory).
% 1.83/2.02 dependent: assign(max_mem, 12000).
% 1.83/2.02 dependent: assign(pick_given_ratio, 4).
% 1.83/2.02 dependent: assign(stats_level, 1).
% 1.83/2.02 dependent: assign(max_seconds, 10800).
% 1.83/2.02 clear(print_given).
% 1.83/2.02
% 1.83/2.02 formula_list(usable).
% 1.83/2.02 all A (A=A).
% 1.83/2.02 all A B (in(A,B)-> -in(B,A)).
% 1.83/2.02 all A B (unordered_pair(A,B)=unordered_pair(B,A)).
% 1.83/2.02 all A B (A=B<->subset(A,B)&subset(B,A)).
% 1.83/2.02 all A B (subset(A,B)<-> (all C (in(C,A)->in(C,B)))).
% 1.83/2.02 all A (relation(A)-> (all B (B=relation_dom(A)<-> (all C (in(C,B)<-> (exists D in(ordered_pair(C,D),A))))))).
% 1.83/2.02 all A (relation(A)-> (all B (B=relation_rng(A)<-> (all C (in(C,B)<-> (exists D in(ordered_pair(D,C),A))))))).
% 1.83/2.02 all A B (ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A))).
% 1.83/2.02 all A (relation(A)-> (all B (relation(B)-> (all C (relation(C)-> (C=relation_composition(A,B)<-> (all D E (in(ordered_pair(D,E),C)<-> (exists F (in(ordered_pair(D,F),A)&in(ordered_pair(F,E),B))))))))))).
% 1.83/2.02 $T.
% 1.83/2.02 $T.
% 1.83/2.02 $T.
% 1.83/2.02 $T.
% 1.83/2.02 $T.
% 1.83/2.02 $T.
% 1.83/2.02 $T.
% 1.83/2.02 all A B (relation(A)&relation(B)->relation(relation_composition(A,B))).
% 1.83/2.02 $T.
% 1.83/2.02 all A exists B element(B,A).
% 1.83/2.02 all A (-empty(powerset(A))).
% 1.83/2.02 empty(empty_set).
% 1.83/2.02 all A B (-empty(ordered_pair(A,B))).
% 1.83/2.02 all A (-empty(singleton(A))).
% 1.83/2.02 all A B (-empty(unordered_pair(A,B))).
% 1.83/2.02 exists A (empty(A)&relation(A)).
% 1.83/2.02 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 1.83/2.02 exists A empty(A).
% 1.83/2.02 all A exists B (element(B,powerset(A))&empty(B)).
% 1.83/2.02 exists A (-empty(A)).
% 1.83/2.02 all A B subset(A,A).
% 1.83/2.02 all A B (in(A,B)->element(A,B)).
% 1.83/2.02 all A B (element(A,B)->empty(B)|in(A,B)).
% 1.83/2.02 all A B (element(A,powerset(B))<->subset(A,B)).
% 1.83/2.02 all A (relation(A)-> (all B (relation(B)->subset(relation_rng(relation_composition(A,B)),relation_rng(B))))).
% 1.83/2.02 -(all A (relation(A)-> (all B (relation(B)-> (subset(relation_dom(A),relation_rng(B))->relation_rng(relation_composition(B,A))=relation_rng(A)))))).
% 1.83/2.02 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 1.83/2.02 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 1.83/2.02 all A (empty(A)->A=empty_set).
% 1.83/2.02 all A B (-(in(A,B)&empty(B))).
% 1.83/2.02 all A B (-(empty(A)&A!=B&empty(B))).
% 1.83/2.02 end_of_list.
% 1.83/2.02
% 1.83/2.02 -------> usable clausifies to:
% 1.83/2.02
% 1.83/2.02 list(usable).
% 1.83/2.02 0 [] A=A.
% 1.83/2.02 0 [] -in(A,B)| -in(B,A).
% 1.83/2.02 0 [] unordered_pair(A,B)=unordered_pair(B,A).
% 1.83/2.02 0 [] A!=B|subset(A,B).
% 1.83/2.02 0 [] A!=B|subset(B,A).
% 1.83/2.02 0 [] A=B| -subset(A,B)| -subset(B,A).
% 1.83/2.02 0 [] -subset(A,B)| -in(C,A)|in(C,B).
% 1.83/2.02 0 [] subset(A,B)|in($f1(A,B),A).
% 1.83/2.02 0 [] subset(A,B)| -in($f1(A,B),B).
% 1.83/2.02 0 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f2(A,B,C)),A).
% 1.83/2.02 0 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 1.83/2.02 0 [] -relation(A)|B=relation_dom(A)|in($f4(A,B),B)|in(ordered_pair($f4(A,B),$f3(A,B)),A).
% 1.83/2.02 0 [] -relation(A)|B=relation_dom(A)| -in($f4(A,B),B)| -in(ordered_pair($f4(A,B),X1),A).
% 1.83/2.02 0 [] -relation(A)|B!=relation_rng(A)| -in(C,B)|in(ordered_pair($f5(A,B,C),C),A).
% 1.83/2.02 0 [] -relation(A)|B!=relation_rng(A)|in(C,B)| -in(ordered_pair(D,C),A).
% 1.83/2.02 0 [] -relation(A)|B=relation_rng(A)|in($f7(A,B),B)|in(ordered_pair($f6(A,B),$f7(A,B)),A).
% 1.83/2.02 0 [] -relation(A)|B=relation_rng(A)| -in($f7(A,B),B)| -in(ordered_pair(X2,$f7(A,B)),A).
% 1.83/2.02 0 [] ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A)).
% 1.83/2.02 0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,$f8(A,B,C,D,E)),A).
% 1.83/2.02 0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair($f8(A,B,C,D,E),E),B).
% 1.83/2.02 0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)|in(ordered_pair(D,E),C)| -in(ordered_pair(D,F),A)| -in(ordered_pair(F,E),B).
% 1.83/2.02 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f11(A,B,C),$f10(A,B,C)),C)|in(ordered_pair($f11(A,B,C),$f9(A,B,C)),A).
% 1.83/2.02 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f11(A,B,C),$f10(A,B,C)),C)|in(ordered_pair($f9(A,B,C),$f10(A,B,C)),B).
% 1.83/2.02 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)| -in(ordered_pair($f11(A,B,C),$f10(A,B,C)),C)| -in(ordered_pair($f11(A,B,C),X3),A)| -in(ordered_pair(X3,$f10(A,B,C)),B).
% 1.83/2.02 0 [] $T.
% 1.83/2.02 0 [] $T.
% 1.83/2.02 0 [] $T.
% 1.83/2.02 0 [] $T.
% 1.83/2.02 0 [] $T.
% 1.83/2.02 0 [] $T.
% 1.83/2.02 0 [] $T.
% 1.83/2.02 0 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 1.83/2.02 0 [] $T.
% 1.83/2.02 0 [] element($f12(A),A).
% 1.83/2.02 0 [] -empty(powerset(A)).
% 1.83/2.02 0 [] empty(empty_set).
% 1.83/2.02 0 [] -empty(ordered_pair(A,B)).
% 1.83/2.02 0 [] -empty(singleton(A)).
% 1.83/2.02 0 [] -empty(unordered_pair(A,B)).
% 1.83/2.02 0 [] empty($c1).
% 1.83/2.02 0 [] relation($c1).
% 1.83/2.02 0 [] empty(A)|element($f13(A),powerset(A)).
% 1.83/2.02 0 [] empty(A)| -empty($f13(A)).
% 1.83/2.02 0 [] empty($c2).
% 1.83/2.02 0 [] element($f14(A),powerset(A)).
% 1.83/2.02 0 [] empty($f14(A)).
% 1.83/2.02 0 [] -empty($c3).
% 1.83/2.02 0 [] subset(A,A).
% 1.83/2.02 0 [] -in(A,B)|element(A,B).
% 1.83/2.02 0 [] -element(A,B)|empty(B)|in(A,B).
% 1.83/2.02 0 [] -element(A,powerset(B))|subset(A,B).
% 1.83/2.02 0 [] element(A,powerset(B))| -subset(A,B).
% 1.83/2.02 0 [] -relation(A)| -relation(B)|subset(relation_rng(relation_composition(A,B)),relation_rng(B)).
% 1.83/2.02 0 [] relation($c5).
% 1.83/2.02 0 [] relation($c4).
% 1.83/2.02 0 [] subset(relation_dom($c5),relation_rng($c4)).
% 1.83/2.02 0 [] relation_rng(relation_composition($c4,$c5))!=relation_rng($c5).
% 1.83/2.02 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 1.83/2.02 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 1.83/2.02 0 [] -empty(A)|A=empty_set.
% 1.83/2.02 0 [] -in(A,B)| -empty(B).
% 1.83/2.02 0 [] -empty(A)|A=B| -empty(B).
% 1.83/2.02 end_of_list.
% 1.83/2.02
% 1.83/2.02 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 1.83/2.02
% 1.83/2.02 This ia a non-Horn set with equality. The strategy will be
% 1.83/2.02 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.83/2.02 deletion, with positive clauses in sos and nonpositive
% 1.83/2.02 clauses in usable.
% 1.83/2.02
% 1.83/2.02 dependent: set(knuth_bendix).
% 1.83/2.02 dependent: set(anl_eq).
% 1.83/2.02 dependent: set(para_from).
% 1.83/2.02 dependent: set(para_into).
% 1.83/2.02 dependent: clear(para_from_right).
% 1.83/2.02 dependent: clear(para_into_right).
% 1.83/2.02 dependent: set(para_from_vars).
% 1.83/2.02 dependent: set(eq_units_both_ways).
% 1.83/2.02 dependent: set(dynamic_demod_all).
% 1.83/2.02 dependent: set(dynamic_demod).
% 1.83/2.02 dependent: set(order_eq).
% 1.83/2.02 dependent: set(back_demod).
% 1.83/2.02 dependent: set(lrpo).
% 1.83/2.02 dependent: set(hyper_res).
% 1.83/2.02 dependent: set(unit_deletion).
% 1.83/2.02 dependent: set(factor).
% 1.83/2.02
% 1.83/2.02 ------------> process usable:
% 1.83/2.02 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 1.83/2.02 ** KEPT (pick-wt=6): 2 [] A!=B|subset(A,B).
% 1.83/2.02 ** KEPT (pick-wt=6): 3 [] A!=B|subset(B,A).
% 1.83/2.02 ** KEPT (pick-wt=9): 4 [] A=B| -subset(A,B)| -subset(B,A).
% 1.83/2.02 ** KEPT (pick-wt=9): 5 [] -subset(A,B)| -in(C,A)|in(C,B).
% 1.83/2.02 ** KEPT (pick-wt=8): 6 [] subset(A,B)| -in($f1(A,B),B).
% 1.83/2.02 ** KEPT (pick-wt=17): 7 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f2(A,B,C)),A).
% 1.83/2.02 ** KEPT (pick-wt=14): 8 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 1.83/2.02 ** KEPT (pick-wt=20): 9 [] -relation(A)|B=relation_dom(A)|in($f4(A,B),B)|in(ordered_pair($f4(A,B),$f3(A,B)),A).
% 1.83/2.02 ** KEPT (pick-wt=18): 10 [] -relation(A)|B=relation_dom(A)| -in($f4(A,B),B)| -in(ordered_pair($f4(A,B),C),A).
% 1.83/2.02 ** KEPT (pick-wt=17): 11 [] -relation(A)|B!=relation_rng(A)| -in(C,B)|in(ordered_pair($f5(A,B,C),C),A).
% 1.83/2.02 ** KEPT (pick-wt=14): 12 [] -relation(A)|B!=relation_rng(A)|in(C,B)| -in(ordered_pair(D,C),A).
% 1.83/2.02 ** KEPT (pick-wt=20): 13 [] -relation(A)|B=relation_rng(A)|in($f7(A,B),B)|in(ordered_pair($f6(A,B),$f7(A,B)),A).
% 1.83/2.02 ** KEPT (pick-wt=18): 14 [] -relation(A)|B=relation_rng(A)| -in($f7(A,B),B)| -in(ordered_pair(C,$f7(A,B)),A).
% 1.83/2.02 ** KEPT (pick-wt=26): 15 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,$f8(A,B,C,D,E)),A).
% 1.83/2.02 ** KEPT (pick-wt=26): 16 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair($f8(A,B,C,D,E),E),B).
% 1.83/2.02 ** KEPT (pick-wt=26): 17 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)|in(ordered_pair(D,E),C)| -in(ordered_pair(D,F),A)| -in(ordered_pair(F,E),B).
% 1.83/2.02 ** KEPT (pick-wt=33): 18 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f11(A,B,C),$f10(A,B,C)),C)|in(ordered_pair($f11(A,B,C),$f9(A,B,C)),A).
% 54.93/55.12 ** KEPT (pick-wt=33): 19 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f11(A,B,C),$f10(A,B,C)),C)|in(ordered_pair($f9(A,B,C),$f10(A,B,C)),B).
% 54.93/55.12 ** KEPT (pick-wt=38): 20 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)| -in(ordered_pair($f11(A,B,C),$f10(A,B,C)),C)| -in(ordered_pair($f11(A,B,C),D),A)| -in(ordered_pair(D,$f10(A,B,C)),B).
% 54.93/55.12 ** KEPT (pick-wt=8): 21 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 54.93/55.12 ** KEPT (pick-wt=3): 22 [] -empty(powerset(A)).
% 54.93/55.12 ** KEPT (pick-wt=4): 23 [] -empty(ordered_pair(A,B)).
% 54.93/55.12 ** KEPT (pick-wt=3): 24 [] -empty(singleton(A)).
% 54.93/55.12 ** KEPT (pick-wt=4): 25 [] -empty(unordered_pair(A,B)).
% 54.93/55.12 ** KEPT (pick-wt=5): 26 [] empty(A)| -empty($f13(A)).
% 54.93/55.12 ** KEPT (pick-wt=2): 27 [] -empty($c3).
% 54.93/55.12 ** KEPT (pick-wt=6): 28 [] -in(A,B)|element(A,B).
% 54.93/55.12 ** KEPT (pick-wt=8): 29 [] -element(A,B)|empty(B)|in(A,B).
% 54.93/55.12 ** KEPT (pick-wt=7): 30 [] -element(A,powerset(B))|subset(A,B).
% 54.93/55.12 ** KEPT (pick-wt=7): 31 [] element(A,powerset(B))| -subset(A,B).
% 54.93/55.12 ** KEPT (pick-wt=11): 32 [] -relation(A)| -relation(B)|subset(relation_rng(relation_composition(A,B)),relation_rng(B)).
% 54.93/55.12 ** KEPT (pick-wt=7): 33 [] relation_rng(relation_composition($c4,$c5))!=relation_rng($c5).
% 54.93/55.12 ** KEPT (pick-wt=10): 34 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 54.93/55.12 ** KEPT (pick-wt=9): 35 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 54.93/55.12 ** KEPT (pick-wt=5): 36 [] -empty(A)|A=empty_set.
% 54.93/55.12 ** KEPT (pick-wt=5): 37 [] -in(A,B)| -empty(B).
% 54.93/55.12 ** KEPT (pick-wt=7): 38 [] -empty(A)|A=B| -empty(B).
% 54.93/55.12
% 54.93/55.12 ------------> process sos:
% 54.93/55.12 ** KEPT (pick-wt=3): 73 [] A=A.
% 54.93/55.12 ** KEPT (pick-wt=7): 74 [] unordered_pair(A,B)=unordered_pair(B,A).
% 54.93/55.12 ** KEPT (pick-wt=8): 75 [] subset(A,B)|in($f1(A,B),A).
% 54.93/55.12 ** KEPT (pick-wt=10): 77 [copy,76,flip.1] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 54.93/55.12 ---> New Demodulator: 78 [new_demod,77] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 54.93/55.12 ** KEPT (pick-wt=4): 79 [] element($f12(A),A).
% 54.93/55.12 ** KEPT (pick-wt=2): 80 [] empty(empty_set).
% 54.93/55.12 ** KEPT (pick-wt=2): 81 [] empty($c1).
% 54.93/55.12 ** KEPT (pick-wt=2): 82 [] relation($c1).
% 54.93/55.12 ** KEPT (pick-wt=7): 83 [] empty(A)|element($f13(A),powerset(A)).
% 54.93/55.12 ** KEPT (pick-wt=2): 84 [] empty($c2).
% 54.93/55.12 ** KEPT (pick-wt=5): 85 [] element($f14(A),powerset(A)).
% 54.93/55.12 ** KEPT (pick-wt=3): 86 [] empty($f14(A)).
% 54.93/55.12 ** KEPT (pick-wt=3): 87 [] subset(A,A).
% 54.93/55.12 ** KEPT (pick-wt=2): 88 [] relation($c5).
% 54.93/55.12 ** KEPT (pick-wt=2): 89 [] relation($c4).
% 54.93/55.12 ** KEPT (pick-wt=5): 90 [] subset(relation_dom($c5),relation_rng($c4)).
% 54.93/55.12 Following clause subsumed by 73 during input processing: 0 [copy,73,flip.1] A=A.
% 54.93/55.12 73 back subsumes 64.
% 54.93/55.12 73 back subsumes 40.
% 54.93/55.12 Following clause subsumed by 74 during input processing: 0 [copy,74,flip.1] unordered_pair(A,B)=unordered_pair(B,A).
% 54.93/55.12 >>>> Starting back demodulation with 78.
% 54.93/55.12
% 54.93/55.12 ======= end of input processing =======
% 54.93/55.12
% 54.93/55.12 =========== start of search ===========
% 54.93/55.12
% 54.93/55.12
% 54.93/55.12 Resetting weight limit to 6.
% 54.93/55.12
% 54.93/55.12
% 54.93/55.12 Resetting weight limit to 6.
% 54.93/55.12
% 54.93/55.12 sos_size=397
% 54.93/55.12
% 54.93/55.12 Search stopped because sos empty.
% 54.93/55.12
% 54.93/55.12
% 54.93/55.12 Search stopped because sos empty.
% 54.93/55.12
% 54.93/55.12 ============ end of search ============
% 54.93/55.12
% 54.93/55.12 -------------- statistics -------------
% 54.93/55.12 clauses given 500
% 54.93/55.12 clauses generated 1052872
% 54.93/55.12 clauses kept 599
% 54.93/55.12 clauses forward subsumed 879
% 54.93/55.12 clauses back subsumed 5
% 54.93/55.12 Kbytes malloced 7812
% 54.93/55.12
% 54.93/55.12 ----------- times (seconds) -----------
% 54.93/55.12 user CPU time 53.09 (0 hr, 0 min, 53 sec)
% 54.93/55.12 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 54.93/55.12 wall-clock time 55 (0 hr, 0 min, 55 sec)
% 54.93/55.12
% 54.93/55.12 Process 26078 finished Wed Jul 27 07:43:15 2022
% 54.93/55.12 Otter interrupted
% 54.93/55.12 PROOF NOT FOUND
%------------------------------------------------------------------------------