TSTP Solution File: SEU183+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU183+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n021.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 : Timeout 299.86s 300.02s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU183+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 07:56:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.85/2.04 ----- Otter 3.3f, August 2004 -----
% 1.85/2.04 The process was started by sandbox2 on n021.cluster.edu,
% 1.85/2.04 Wed Jul 27 07:56:53 2022
% 1.85/2.04 The command was "./otter". The process ID is 31748.
% 1.85/2.04
% 1.85/2.04 set(prolog_style_variables).
% 1.85/2.04 set(auto).
% 1.85/2.04 dependent: set(auto1).
% 1.85/2.04 dependent: set(process_input).
% 1.85/2.04 dependent: clear(print_kept).
% 1.85/2.04 dependent: clear(print_new_demod).
% 1.85/2.04 dependent: clear(print_back_demod).
% 1.85/2.04 dependent: clear(print_back_sub).
% 1.85/2.04 dependent: set(control_memory).
% 1.85/2.04 dependent: assign(max_mem, 12000).
% 1.85/2.04 dependent: assign(pick_given_ratio, 4).
% 1.85/2.04 dependent: assign(stats_level, 1).
% 1.85/2.04 dependent: assign(max_seconds, 10800).
% 1.85/2.04 clear(print_given).
% 1.85/2.04
% 1.85/2.04 formula_list(usable).
% 1.85/2.04 all A (A=A).
% 1.85/2.04 all A B (in(A,B)-> -in(B,A)).
% 1.85/2.04 all A B (unordered_pair(A,B)=unordered_pair(B,A)).
% 1.85/2.04 all A B (subset(A,B)<-> (all C (in(C,A)->in(C,B)))).
% 1.85/2.04 all A (relation(A)-> (all B (B=relation_rng(A)<-> (all C (in(C,B)<-> (exists D in(ordered_pair(D,C),A))))))).
% 1.85/2.04 all A B (ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A))).
% 1.85/2.04 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))))))))))).
% 1.85/2.04 $T.
% 1.85/2.04 $T.
% 1.85/2.04 $T.
% 1.85/2.04 $T.
% 1.85/2.04 $T.
% 1.85/2.04 $T.
% 1.85/2.04 all A B (relation(A)&relation(B)->relation(relation_composition(A,B))).
% 1.85/2.04 $T.
% 1.85/2.04 all A exists B element(B,A).
% 1.85/2.04 all A (-empty(powerset(A))).
% 1.85/2.04 empty(empty_set).
% 1.85/2.04 all A B (-empty(ordered_pair(A,B))).
% 1.85/2.04 all A (-empty(singleton(A))).
% 1.85/2.04 all A B (-empty(unordered_pair(A,B))).
% 1.85/2.04 exists A (empty(A)&relation(A)).
% 1.85/2.04 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 1.85/2.04 exists A empty(A).
% 1.85/2.04 all A exists B (element(B,powerset(A))&empty(B)).
% 1.85/2.04 exists A (-empty(A)).
% 1.85/2.04 all A B subset(A,A).
% 1.85/2.04 all A B (in(A,B)->element(A,B)).
% 1.85/2.04 all A B (element(A,B)->empty(B)|in(A,B)).
% 1.85/2.04 all A B (element(A,powerset(B))<->subset(A,B)).
% 1.85/2.04 -(all A (relation(A)-> (all B (relation(B)->subset(relation_rng(relation_composition(A,B)),relation_rng(B)))))).
% 1.85/2.04 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 1.85/2.04 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 1.85/2.04 all A (empty(A)->A=empty_set).
% 1.85/2.04 all A B (-(in(A,B)&empty(B))).
% 1.85/2.04 all A B (-(empty(A)&A!=B&empty(B))).
% 1.85/2.04 end_of_list.
% 1.85/2.04
% 1.85/2.04 -------> usable clausifies to:
% 1.85/2.04
% 1.85/2.04 list(usable).
% 1.85/2.04 0 [] A=A.
% 1.85/2.04 0 [] -in(A,B)| -in(B,A).
% 1.85/2.04 0 [] unordered_pair(A,B)=unordered_pair(B,A).
% 1.85/2.04 0 [] -subset(A,B)| -in(C,A)|in(C,B).
% 1.85/2.04 0 [] subset(A,B)|in($f1(A,B),A).
% 1.85/2.04 0 [] subset(A,B)| -in($f1(A,B),B).
% 1.85/2.04 0 [] -relation(A)|B!=relation_rng(A)| -in(C,B)|in(ordered_pair($f2(A,B,C),C),A).
% 1.85/2.04 0 [] -relation(A)|B!=relation_rng(A)|in(C,B)| -in(ordered_pair(D,C),A).
% 1.85/2.04 0 [] -relation(A)|B=relation_rng(A)|in($f4(A,B),B)|in(ordered_pair($f3(A,B),$f4(A,B)),A).
% 1.85/2.04 0 [] -relation(A)|B=relation_rng(A)| -in($f4(A,B),B)| -in(ordered_pair(X1,$f4(A,B)),A).
% 1.85/2.04 0 [] ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A)).
% 1.85/2.04 0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,$f5(A,B,C,D,E)),A).
% 1.85/2.04 0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair($f5(A,B,C,D,E),E),B).
% 1.85/2.04 0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)|in(ordered_pair(D,E),C)| -in(ordered_pair(D,F),A)| -in(ordered_pair(F,E),B).
% 1.85/2.04 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f8(A,B,C),$f7(A,B,C)),C)|in(ordered_pair($f8(A,B,C),$f6(A,B,C)),A).
% 1.85/2.04 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f8(A,B,C),$f7(A,B,C)),C)|in(ordered_pair($f6(A,B,C),$f7(A,B,C)),B).
% 1.85/2.04 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)| -in(ordered_pair($f8(A,B,C),$f7(A,B,C)),C)| -in(ordered_pair($f8(A,B,C),X2),A)| -in(ordered_pair(X2,$f7(A,B,C)),B).
% 1.85/2.04 0 [] $T.
% 1.85/2.04 0 [] $T.
% 1.85/2.04 0 [] $T.
% 1.85/2.04 0 [] $T.
% 1.85/2.04 0 [] $T.
% 1.85/2.04 0 [] $T.
% 1.85/2.04 0 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 1.85/2.04 0 [] $T.
% 1.85/2.04 0 [] element($f9(A),A).
% 1.85/2.04 0 [] -empty(powerset(A)).
% 1.85/2.04 0 [] empty(empty_set).
% 1.85/2.04 0 [] -empty(ordered_pair(A,B)).
% 1.85/2.04 0 [] -empty(singleton(A)).
% 1.85/2.04 0 [] -empty(unordered_pair(A,B)).
% 1.85/2.04 0 [] empty($c1).
% 1.85/2.04 0 [] relation($c1).
% 1.85/2.04 0 [] empty(A)|element($f10(A),powerset(A)).
% 1.85/2.04 0 [] empty(A)| -empty($f10(A)).
% 1.85/2.04 0 [] empty($c2).
% 1.85/2.04 0 [] element($f11(A),powerset(A)).
% 1.85/2.04 0 [] empty($f11(A)).
% 1.85/2.04 0 [] -empty($c3).
% 1.85/2.04 0 [] subset(A,A).
% 1.85/2.04 0 [] -in(A,B)|element(A,B).
% 1.85/2.04 0 [] -element(A,B)|empty(B)|in(A,B).
% 1.85/2.04 0 [] -element(A,powerset(B))|subset(A,B).
% 1.85/2.04 0 [] element(A,powerset(B))| -subset(A,B).
% 1.85/2.04 0 [] relation($c5).
% 1.85/2.04 0 [] relation($c4).
% 1.85/2.04 0 [] -subset(relation_rng(relation_composition($c5,$c4)),relation_rng($c4)).
% 1.85/2.04 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 1.85/2.04 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 1.85/2.04 0 [] -empty(A)|A=empty_set.
% 1.85/2.04 0 [] -in(A,B)| -empty(B).
% 1.85/2.04 0 [] -empty(A)|A=B| -empty(B).
% 1.85/2.04 end_of_list.
% 1.85/2.04
% 1.85/2.04 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 1.85/2.04
% 1.85/2.04 This ia a non-Horn set with equality. The strategy will be
% 1.85/2.04 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.85/2.04 deletion, with positive clauses in sos and nonpositive
% 1.85/2.04 clauses in usable.
% 1.85/2.04
% 1.85/2.04 dependent: set(knuth_bendix).
% 1.85/2.04 dependent: set(anl_eq).
% 1.85/2.04 dependent: set(para_from).
% 1.85/2.04 dependent: set(para_into).
% 1.85/2.04 dependent: clear(para_from_right).
% 1.85/2.04 dependent: clear(para_into_right).
% 1.85/2.04 dependent: set(para_from_vars).
% 1.85/2.04 dependent: set(eq_units_both_ways).
% 1.85/2.04 dependent: set(dynamic_demod_all).
% 1.85/2.04 dependent: set(dynamic_demod).
% 1.85/2.04 dependent: set(order_eq).
% 1.85/2.04 dependent: set(back_demod).
% 1.85/2.04 dependent: set(lrpo).
% 1.85/2.04 dependent: set(hyper_res).
% 1.85/2.04 dependent: set(unit_deletion).
% 1.85/2.04 dependent: set(factor).
% 1.85/2.04
% 1.85/2.04 ------------> process usable:
% 1.85/2.04 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 1.85/2.04 ** KEPT (pick-wt=9): 2 [] -subset(A,B)| -in(C,A)|in(C,B).
% 1.85/2.04 ** KEPT (pick-wt=8): 3 [] subset(A,B)| -in($f1(A,B),B).
% 1.85/2.04 ** KEPT (pick-wt=17): 4 [] -relation(A)|B!=relation_rng(A)| -in(C,B)|in(ordered_pair($f2(A,B,C),C),A).
% 1.85/2.04 ** KEPT (pick-wt=14): 5 [] -relation(A)|B!=relation_rng(A)|in(C,B)| -in(ordered_pair(D,C),A).
% 1.85/2.04 ** KEPT (pick-wt=20): 6 [] -relation(A)|B=relation_rng(A)|in($f4(A,B),B)|in(ordered_pair($f3(A,B),$f4(A,B)),A).
% 1.85/2.04 ** KEPT (pick-wt=18): 7 [] -relation(A)|B=relation_rng(A)| -in($f4(A,B),B)| -in(ordered_pair(C,$f4(A,B)),A).
% 1.85/2.04 ** KEPT (pick-wt=26): 8 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,$f5(A,B,C,D,E)),A).
% 1.85/2.04 ** KEPT (pick-wt=26): 9 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair($f5(A,B,C,D,E),E),B).
% 1.85/2.04 ** KEPT (pick-wt=26): 10 [] -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).
% 1.85/2.04 ** KEPT (pick-wt=33): 11 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f8(A,B,C),$f7(A,B,C)),C)|in(ordered_pair($f8(A,B,C),$f6(A,B,C)),A).
% 1.85/2.04 ** KEPT (pick-wt=33): 12 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f8(A,B,C),$f7(A,B,C)),C)|in(ordered_pair($f6(A,B,C),$f7(A,B,C)),B).
% 1.85/2.04 ** KEPT (pick-wt=38): 13 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)| -in(ordered_pair($f8(A,B,C),$f7(A,B,C)),C)| -in(ordered_pair($f8(A,B,C),D),A)| -in(ordered_pair(D,$f7(A,B,C)),B).
% 1.85/2.04 ** KEPT (pick-wt=8): 14 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 1.85/2.04 ** KEPT (pick-wt=3): 15 [] -empty(powerset(A)).
% 1.85/2.04 ** KEPT (pick-wt=4): 16 [] -empty(ordered_pair(A,B)).
% 1.85/2.04 ** KEPT (pick-wt=3): 17 [] -empty(singleton(A)).
% 1.85/2.04 ** KEPT (pick-wt=4): 18 [] -empty(unordered_pair(A,B)).
% 1.85/2.04 ** KEPT (pick-wt=5): 19 [] empty(A)| -empty($f10(A)).
% 1.85/2.04 ** KEPT (pick-wt=2): 20 [] -empty($c3).
% 1.85/2.04 ** KEPT (pick-wt=6): 21 [] -in(A,B)|element(A,B).
% 1.85/2.04 ** KEPT (pick-wt=8): 22 [] -element(A,B)|empty(B)|in(A,B).
% 1.85/2.04 ** KEPT (pick-wt=7): 23 [] -element(A,powerset(B))|subset(A,B).
% 1.85/2.04 ** KEPT (pick-wt=7): 24 [] element(A,powerset(B))| -subset(A,B).
% 1.85/2.04 ** KEPT (pick-wt=7): 25 [] -subset(relation_rng(relation_composition($c5,$c4)),relation_rng($c4)).
% 1.85/2.04 ** KEPT (pick-wt=10): 26 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 1.85/2.04 ** KEPT (pick-wt=9): 27 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 1.85/2.04 ** KEPT (pick-wt=5): 28 [] -empty(A)|A=empty_set.
% 1.85/2.04 ** KEPT (pick-wt=5): 29 [] -in(A,B)| -empty(B).
% 1.85/2.04 ** KEPT (pick-wt=7): 30 [] -empty(A)|A=B| -Alarm clock
% 299.86/300.02 Otter interrupted
% 299.86/300.02 PROOF NOT FOUND
%------------------------------------------------------------------------------