TSTP Solution File: SEU013+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU013+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n016.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 300.06s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU013+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n016.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 07:54:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.98/2.18 ----- Otter 3.3f, August 2004 -----
% 1.98/2.18 The process was started by sandbox on n016.cluster.edu,
% 1.98/2.18 Wed Jul 27 07:54:37 2022
% 1.98/2.18 The command was "./otter". The process ID is 23958.
% 1.98/2.18
% 1.98/2.18 set(prolog_style_variables).
% 1.98/2.18 set(auto).
% 1.98/2.18 dependent: set(auto1).
% 1.98/2.18 dependent: set(process_input).
% 1.98/2.18 dependent: clear(print_kept).
% 1.98/2.18 dependent: clear(print_new_demod).
% 1.98/2.18 dependent: clear(print_back_demod).
% 1.98/2.18 dependent: clear(print_back_sub).
% 1.98/2.18 dependent: set(control_memory).
% 1.98/2.18 dependent: assign(max_mem, 12000).
% 1.98/2.18 dependent: assign(pick_given_ratio, 4).
% 1.98/2.18 dependent: assign(stats_level, 1).
% 1.98/2.18 dependent: assign(max_seconds, 10800).
% 1.98/2.18 clear(print_given).
% 1.98/2.18
% 1.98/2.18 formula_list(usable).
% 1.98/2.18 all A (A=A).
% 1.98/2.18 all A B (in(A,B)-> -in(B,A)).
% 1.98/2.18 all A (empty(A)->function(A)).
% 1.98/2.18 all A (empty(A)->relation(A)).
% 1.98/2.18 all A (relation(A)&function(A)-> (one_to_one(A)<-> (all B C (in(B,relation_dom(A))&in(C,relation_dom(A))&apply(A,B)=apply(A,C)->B=C)))).
% 1.98/2.18 all A B (relation(A)&relation(B)->relation(relation_composition(A,B))).
% 1.98/2.18 all A exists B element(B,A).
% 1.98/2.18 all A B (empty(A)&relation(B)->empty(relation_composition(B,A))&relation(relation_composition(B,A))).
% 1.98/2.18 empty(empty_set).
% 1.98/2.18 relation(empty_set).
% 1.98/2.18 relation_empty_yielding(empty_set).
% 1.98/2.18 all A B (relation(A)&function(A)&relation(B)&function(B)->relation(relation_composition(A,B))&function(relation_composition(A,B))).
% 1.98/2.18 all A (-empty(powerset(A))).
% 1.98/2.18 empty(empty_set).
% 1.98/2.18 empty(empty_set).
% 1.98/2.18 relation(empty_set).
% 1.98/2.18 all A (-empty(A)&relation(A)-> -empty(relation_dom(A))).
% 1.98/2.18 all A (empty(A)->empty(relation_dom(A))&relation(relation_dom(A))).
% 1.98/2.18 all A B (empty(A)&relation(B)->empty(relation_composition(A,B))&relation(relation_composition(A,B))).
% 1.98/2.18 exists A (relation(A)&function(A)).
% 1.98/2.18 exists A (empty(A)&relation(A)).
% 1.98/2.18 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 1.98/2.18 exists A empty(A).
% 1.98/2.18 exists A (-empty(A)&relation(A)).
% 1.98/2.18 all A exists B (element(B,powerset(A))&empty(B)).
% 1.98/2.18 exists A (-empty(A)).
% 1.98/2.18 exists A (relation(A)&relation_empty_yielding(A)).
% 1.98/2.18 all A B subset(A,A).
% 1.98/2.18 all A B (in(A,B)->element(A,B)).
% 1.98/2.18 all A B (relation(B)&function(B)-> (all C (relation(C)&function(C)-> (in(A,relation_dom(relation_composition(C,B)))<->in(A,relation_dom(C))&in(apply(C,A),relation_dom(B)))))).
% 1.98/2.18 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)))))).
% 1.98/2.18 all A B (element(A,B)->empty(B)|in(A,B)).
% 1.98/2.18 all A B (element(A,powerset(B))<->subset(A,B)).
% 1.98/2.18 -(all A (relation(A)&function(A)-> (all B (relation(B)&function(B)-> (one_to_one(A)&one_to_one(B)->one_to_one(relation_composition(A,B))))))).
% 1.98/2.18 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 1.98/2.18 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 1.98/2.18 all A (empty(A)->A=empty_set).
% 1.98/2.18 all A B (-(in(A,B)&empty(B))).
% 1.98/2.18 all A B (-(empty(A)&A!=B&empty(B))).
% 1.98/2.18 end_of_list.
% 1.98/2.18
% 1.98/2.18 -------> usable clausifies to:
% 1.98/2.18
% 1.98/2.18 list(usable).
% 1.98/2.18 0 [] A=A.
% 1.98/2.18 0 [] -in(A,B)| -in(B,A).
% 1.98/2.18 0 [] -empty(A)|function(A).
% 1.98/2.18 0 [] -empty(A)|relation(A).
% 1.98/2.18 0 [] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_dom(A))| -in(C,relation_dom(A))|apply(A,B)!=apply(A,C)|B=C.
% 1.98/2.18 0 [] -relation(A)| -function(A)|one_to_one(A)|in($f2(A),relation_dom(A)).
% 1.98/2.18 0 [] -relation(A)| -function(A)|one_to_one(A)|in($f1(A),relation_dom(A)).
% 1.98/2.18 0 [] -relation(A)| -function(A)|one_to_one(A)|apply(A,$f2(A))=apply(A,$f1(A)).
% 1.98/2.18 0 [] -relation(A)| -function(A)|one_to_one(A)|$f2(A)!=$f1(A).
% 1.98/2.18 0 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 1.98/2.18 0 [] element($f3(A),A).
% 1.98/2.18 0 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 1.98/2.18 0 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 1.98/2.18 0 [] empty(empty_set).
% 1.98/2.18 0 [] relation(empty_set).
% 1.98/2.18 0 [] relation_empty_yielding(empty_set).
% 1.98/2.18 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 1.98/2.18 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 1.98/2.18 0 [] -empty(powerset(A)).
% 1.98/2.18 0 [] empty(empty_set).
% 1.98/2.18 0 [] empty(empty_set).
% 1.98/2.18 0 [] relation(empty_set).
% 1.98/2.18 0 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 1.98/2.18 0 [] -empty(A)|empty(relation_dom(A)).
% 1.98/2.18 0 [] -empty(A)|relation(relation_dom(A)).
% 1.98/2.18 0 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 1.98/2.18 0 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 1.98/2.18 0 [] relation($c1).
% 1.98/2.18 0 [] function($c1).
% 1.98/2.18 0 [] empty($c2).
% 1.98/2.18 0 [] relation($c2).
% 1.98/2.18 0 [] empty(A)|element($f4(A),powerset(A)).
% 1.98/2.18 0 [] empty(A)| -empty($f4(A)).
% 1.98/2.18 0 [] empty($c3).
% 1.98/2.18 0 [] -empty($c4).
% 1.98/2.18 0 [] relation($c4).
% 1.98/2.18 0 [] element($f5(A),powerset(A)).
% 1.98/2.18 0 [] empty($f5(A)).
% 1.98/2.18 0 [] -empty($c5).
% 1.98/2.18 0 [] relation($c6).
% 1.98/2.18 0 [] relation_empty_yielding($c6).
% 1.98/2.18 0 [] subset(A,A).
% 1.98/2.18 0 [] -in(A,B)|element(A,B).
% 1.98/2.18 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(relation_composition(C,B)))|in(A,relation_dom(C)).
% 1.98/2.18 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(relation_composition(C,B)))|in(apply(C,A),relation_dom(B)).
% 1.98/2.18 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|in(A,relation_dom(relation_composition(C,B)))| -in(A,relation_dom(C))| -in(apply(C,A),relation_dom(B)).
% 1.98/2.18 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(relation_composition(C,B)))|apply(relation_composition(C,B),A)=apply(B,apply(C,A)).
% 1.98/2.18 0 [] -element(A,B)|empty(B)|in(A,B).
% 1.98/2.18 0 [] -element(A,powerset(B))|subset(A,B).
% 1.98/2.18 0 [] element(A,powerset(B))| -subset(A,B).
% 1.98/2.18 0 [] relation($c8).
% 1.98/2.18 0 [] function($c8).
% 1.98/2.18 0 [] relation($c7).
% 1.98/2.18 0 [] function($c7).
% 1.98/2.18 0 [] one_to_one($c8).
% 1.98/2.18 0 [] one_to_one($c7).
% 1.98/2.18 0 [] -one_to_one(relation_composition($c8,$c7)).
% 1.98/2.18 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 1.98/2.18 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 1.98/2.18 0 [] -empty(A)|A=empty_set.
% 1.98/2.18 0 [] -in(A,B)| -empty(B).
% 1.98/2.18 0 [] -empty(A)|A=B| -empty(B).
% 1.98/2.18 end_of_list.
% 1.98/2.18
% 1.98/2.18 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 1.98/2.18
% 1.98/2.18 This ia a non-Horn set with equality. The strategy will be
% 1.98/2.18 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.98/2.18 deletion, with positive clauses in sos and nonpositive
% 1.98/2.18 clauses in usable.
% 1.98/2.18
% 1.98/2.18 dependent: set(knuth_bendix).
% 1.98/2.18 dependent: set(anl_eq).
% 1.98/2.18 dependent: set(para_from).
% 1.98/2.18 dependent: set(para_into).
% 1.98/2.18 dependent: clear(para_from_right).
% 1.98/2.18 dependent: clear(para_into_right).
% 1.98/2.18 dependent: set(para_from_vars).
% 1.98/2.18 dependent: set(eq_units_both_ways).
% 1.98/2.18 dependent: set(dynamic_demod_all).
% 1.98/2.18 dependent: set(dynamic_demod).
% 1.98/2.18 dependent: set(order_eq).
% 1.98/2.18 dependent: set(back_demod).
% 1.98/2.18 dependent: set(lrpo).
% 1.98/2.18 dependent: set(hyper_res).
% 1.98/2.18 dependent: set(unit_deletion).
% 1.98/2.18 dependent: set(factor).
% 1.98/2.18
% 1.98/2.18 ------------> process usable:
% 1.98/2.18 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 1.98/2.18 ** KEPT (pick-wt=4): 2 [] -empty(A)|function(A).
% 1.98/2.18 ** KEPT (pick-wt=4): 3 [] -empty(A)|relation(A).
% 1.98/2.18 ** KEPT (pick-wt=24): 4 [] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_dom(A))| -in(C,relation_dom(A))|apply(A,B)!=apply(A,C)|B=C.
% 1.98/2.18 ** KEPT (pick-wt=11): 5 [] -relation(A)| -function(A)|one_to_one(A)|in($f2(A),relation_dom(A)).
% 1.98/2.18 ** KEPT (pick-wt=11): 6 [] -relation(A)| -function(A)|one_to_one(A)|in($f1(A),relation_dom(A)).
% 1.98/2.18 ** KEPT (pick-wt=15): 7 [] -relation(A)| -function(A)|one_to_one(A)|apply(A,$f2(A))=apply(A,$f1(A)).
% 1.98/2.18 ** KEPT (pick-wt=11): 8 [] -relation(A)| -function(A)|one_to_one(A)|$f2(A)!=$f1(A).
% 1.98/2.18 ** KEPT (pick-wt=8): 9 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 1.98/2.18 ** KEPT (pick-wt=8): 10 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 1.98/2.18 ** KEPT (pick-wt=8): 11 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 1.98/2.18 Following clause subsumed by 9 during input processing: 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 1.98/2.18 ** KEPT (pick-wt=12): 12 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 1.98/2.18 ** KEPT (pick-wt=3): 13 [] -empty(powerset(A)).
% 1.98/2.18 ** KEPT (pick-wt=7): 14 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 1.98/2.18 ** KEPT (pick-wt=5): 15 [] -empty(A)|empty(relation_dom(A)).
% 1.98/2.18 ** KEPT (pick-wt=5): 16 [] -empty(A)|relation(relation_dom(A)).
% 1.98/2.18 ** KEPT (pick-wt=8): 17 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 1.98/2.18 ** KEPT (pick-wt=8): 18 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 1.98/2.18 ** KEPT (pick-wt=5): 19 [] empty(A)| -empty($f4(A)).
% 1.98/2.18 ** KEPT (pick-Alarm clock
% 299.89/300.06 Otter interrupted
% 299.89/300.06 PROOF NOT FOUND
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