TSTP Solution File: SEU215+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU215+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n015.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 13:15:11 EDT 2022
% Result : Timeout 299.85s 300.05s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU215+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 08:10:26 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.98/2.21 ----- Otter 3.3f, August 2004 -----
% 1.98/2.21 The process was started by sandbox on n015.cluster.edu,
% 1.98/2.21 Wed Jul 27 08:10:27 2022
% 1.98/2.21 The command was "./otter". The process ID is 19379.
% 1.98/2.21
% 1.98/2.21 set(prolog_style_variables).
% 1.98/2.21 set(auto).
% 1.98/2.21 dependent: set(auto1).
% 1.98/2.21 dependent: set(process_input).
% 1.98/2.21 dependent: clear(print_kept).
% 1.98/2.21 dependent: clear(print_new_demod).
% 1.98/2.21 dependent: clear(print_back_demod).
% 1.98/2.21 dependent: clear(print_back_sub).
% 1.98/2.21 dependent: set(control_memory).
% 1.98/2.21 dependent: assign(max_mem, 12000).
% 1.98/2.21 dependent: assign(pick_given_ratio, 4).
% 1.98/2.21 dependent: assign(stats_level, 1).
% 1.98/2.21 dependent: assign(max_seconds, 10800).
% 1.98/2.21 clear(print_given).
% 1.98/2.21
% 1.98/2.21 formula_list(usable).
% 1.98/2.21 all A (A=A).
% 1.98/2.21 all A B (in(A,B)-> -in(B,A)).
% 1.98/2.21 all A (empty(A)->function(A)).
% 1.98/2.21 all A (empty(A)->relation(A)).
% 1.98/2.21 all A B (unordered_pair(A,B)=unordered_pair(B,A)).
% 1.98/2.21 all A (relation(A)&function(A)-> (all B C ((in(B,relation_dom(A))-> (C=apply(A,B)<->in(ordered_pair(B,C),A)))& (-in(B,relation_dom(A))-> (C=apply(A,B)<->C=empty_set))))).
% 1.98/2.21 all A B (ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A))).
% 1.98/2.21 $T.
% 1.98/2.21 $T.
% 1.98/2.21 $T.
% 1.98/2.21 $T.
% 1.98/2.21 $T.
% 1.98/2.21 $T.
% 1.98/2.21 all A B (relation(A)&relation(B)->relation(relation_composition(A,B))).
% 1.98/2.21 $T.
% 1.98/2.21 all A exists B element(B,A).
% 1.98/2.21 all A B (empty(A)&relation(B)->empty(relation_composition(B,A))&relation(relation_composition(B,A))).
% 1.98/2.21 empty(empty_set).
% 1.98/2.21 relation(empty_set).
% 1.98/2.21 relation_empty_yielding(empty_set).
% 1.98/2.21 all A B (relation(A)&function(A)&relation(B)&function(B)->relation(relation_composition(A,B))&function(relation_composition(A,B))).
% 1.98/2.21 empty(empty_set).
% 1.98/2.21 all A B (-empty(ordered_pair(A,B))).
% 1.98/2.21 all A (-empty(singleton(A))).
% 1.98/2.21 all A B (-empty(unordered_pair(A,B))).
% 1.98/2.21 empty(empty_set).
% 1.98/2.21 relation(empty_set).
% 1.98/2.21 all A (-empty(A)&relation(A)-> -empty(relation_dom(A))).
% 1.98/2.21 all A (empty(A)->empty(relation_dom(A))&relation(relation_dom(A))).
% 1.98/2.21 all A B (empty(A)&relation(B)->empty(relation_composition(A,B))&relation(relation_composition(A,B))).
% 1.98/2.21 exists A (relation(A)&function(A)).
% 1.98/2.21 exists A (empty(A)&relation(A)).
% 1.98/2.21 exists A empty(A).
% 1.98/2.21 exists A (-empty(A)&relation(A)).
% 1.98/2.21 exists A (-empty(A)).
% 1.98/2.21 exists A (relation(A)&relation_empty_yielding(A)).
% 1.98/2.21 all A B (in(A,B)->element(A,B)).
% 1.98/2.21 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)))))).
% 1.98/2.21 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)))))).
% 1.98/2.21 -(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))))))).
% 1.98/2.21 all A B (element(A,B)->empty(B)|in(A,B)).
% 1.98/2.21 all A (empty(A)->A=empty_set).
% 1.98/2.21 all A B (-(in(A,B)&empty(B))).
% 1.98/2.21 all A B (-(empty(A)&A!=B&empty(B))).
% 1.98/2.21 end_of_list.
% 1.98/2.21
% 1.98/2.21 -------> usable clausifies to:
% 1.98/2.21
% 1.98/2.21 list(usable).
% 1.98/2.21 0 [] A=A.
% 1.98/2.21 0 [] -in(A,B)| -in(B,A).
% 1.98/2.21 0 [] -empty(A)|function(A).
% 1.98/2.21 0 [] -empty(A)|relation(A).
% 1.98/2.21 0 [] unordered_pair(A,B)=unordered_pair(B,A).
% 1.98/2.21 0 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C!=apply(A,B)|in(ordered_pair(B,C),A).
% 1.98/2.21 0 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C=apply(A,B)| -in(ordered_pair(B,C),A).
% 1.98/2.21 0 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C!=apply(A,B)|C=empty_set.
% 1.98/2.21 0 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C=apply(A,B)|C!=empty_set.
% 1.98/2.21 0 [] ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A)).
% 1.98/2.21 0 [] $T.
% 1.98/2.21 0 [] $T.
% 1.98/2.21 0 [] $T.
% 1.98/2.21 0 [] $T.
% 1.98/2.21 0 [] $T.
% 1.98/2.21 0 [] $T.
% 1.98/2.21 0 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 1.98/2.21 0 [] $T.
% 1.98/2.21 0 [] element($f1(A),A).
% 1.98/2.21 0 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 1.98/2.21 0 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 1.98/2.21 0 [] empty(empty_set).
% 1.98/2.21 0 [] relation(empty_set).
% 1.98/2.21 0 [] relation_empty_yielding(empty_set).
% 1.98/2.21 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 1.98/2.21 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 1.98/2.21 0 [] empty(empty_set).
% 1.98/2.21 0 [] -empty(ordered_pair(A,B)).
% 1.98/2.21 0 [] -empty(singleton(A)).
% 1.98/2.21 0 [] -empty(unordered_pair(A,B)).
% 1.98/2.21 0 [] empty(empty_set).
% 1.98/2.21 0 [] relation(empty_set).
% 1.98/2.21 0 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 1.98/2.21 0 [] -empty(A)|empty(relation_dom(A)).
% 1.98/2.21 0 [] -empty(A)|relation(relation_dom(A)).
% 1.98/2.21 0 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 1.98/2.21 0 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 1.98/2.21 0 [] relation($c1).
% 1.98/2.21 0 [] function($c1).
% 1.98/2.21 0 [] empty($c2).
% 1.98/2.21 0 [] relation($c2).
% 1.98/2.21 0 [] empty($c3).
% 1.98/2.21 0 [] -empty($c4).
% 1.98/2.21 0 [] relation($c4).
% 1.98/2.21 0 [] -empty($c5).
% 1.98/2.21 0 [] relation($c6).
% 1.98/2.21 0 [] relation_empty_yielding($c6).
% 1.98/2.21 0 [] -in(A,B)|element(A,B).
% 1.98/2.21 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(relation_composition(C,B)))|in(A,relation_dom(C)).
% 1.98/2.21 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(relation_composition(C,B)))|in(apply(C,A),relation_dom(B)).
% 1.98/2.21 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)).
% 1.98/2.21 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)).
% 1.98/2.21 0 [] relation($c8).
% 1.98/2.21 0 [] function($c8).
% 1.98/2.21 0 [] relation($c7).
% 1.98/2.21 0 [] function($c7).
% 1.98/2.21 0 [] in($c9,relation_dom($c8)).
% 1.98/2.21 0 [] apply(relation_composition($c8,$c7),$c9)!=apply($c7,apply($c8,$c9)).
% 1.98/2.21 0 [] -element(A,B)|empty(B)|in(A,B).
% 1.98/2.21 0 [] -empty(A)|A=empty_set.
% 1.98/2.21 0 [] -in(A,B)| -empty(B).
% 1.98/2.21 0 [] -empty(A)|A=B| -empty(B).
% 1.98/2.21 end_of_list.
% 1.98/2.21
% 1.98/2.21 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 1.98/2.21
% 1.98/2.21 This ia a non-Horn set with equality. The strategy will be
% 1.98/2.21 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.98/2.21 deletion, with positive clauses in sos and nonpositive
% 1.98/2.21 clauses in usable.
% 1.98/2.21
% 1.98/2.21 dependent: set(knuth_bendix).
% 1.98/2.21 dependent: set(anl_eq).
% 1.98/2.21 dependent: set(para_from).
% 1.98/2.21 dependent: set(para_into).
% 1.98/2.21 dependent: clear(para_from_right).
% 1.98/2.21 dependent: clear(para_into_right).
% 1.98/2.21 dependent: set(para_from_vars).
% 1.98/2.21 dependent: set(eq_units_both_ways).
% 1.98/2.21 dependent: set(dynamic_demod_all).
% 1.98/2.21 dependent: set(dynamic_demod).
% 1.98/2.21 dependent: set(order_eq).
% 1.98/2.21 dependent: set(back_demod).
% 1.98/2.21 dependent: set(lrpo).
% 1.98/2.21 dependent: set(hyper_res).
% 1.98/2.21 dependent: set(unit_deletion).
% 1.98/2.21 dependent: set(factor).
% 1.98/2.21
% 1.98/2.21 ------------> process usable:
% 1.98/2.21 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 1.98/2.21 ** KEPT (pick-wt=4): 2 [] -empty(A)|function(A).
% 1.98/2.21 ** KEPT (pick-wt=4): 3 [] -empty(A)|relation(A).
% 1.98/2.21 ** KEPT (pick-wt=18): 4 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C!=apply(A,B)|in(ordered_pair(B,C),A).
% 1.98/2.21 ** KEPT (pick-wt=18): 5 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C=apply(A,B)| -in(ordered_pair(B,C),A).
% 1.98/2.21 ** KEPT (pick-wt=16): 6 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C!=apply(A,B)|C=empty_set.
% 1.98/2.21 ** KEPT (pick-wt=16): 7 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C=apply(A,B)|C!=empty_set.
% 1.98/2.21 ** KEPT (pick-wt=8): 8 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 1.98/2.21 ** KEPT (pick-wt=8): 9 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 1.98/2.21 ** KEPT (pick-wt=8): 10 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 1.98/2.21 Following clause subsumed by 8 during input processing: 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 1.98/2.21 ** KEPT (pick-wt=12): 11 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 1.98/2.21 ** KEPT (pick-wt=4): 12 [] -empty(ordered_pair(A,B)).
% 1.98/2.21 ** KEPT (pick-wt=3): 13 [] -empty(singleton(A)).
% 1.98/2.21 ** KEPT (pick-wt=4): 14 [] -empty(unordered_pair(A,B)).
% 1.98/2.21 ** KEPT (pick-wt=7): 15 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 1.98/2.21 ** KEPT (pick-wt=5): 16 [] -empty(A)|empty(relation_dom(A)).
% 1.98/2.21 ** KEPT (pick-wt=5): 17 [] -empty(A)|relation(relation_dom(A)).
% 1.98/2.21 ** KEPT (pick-wt=8): 18 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 1.98/2.21 ** KEPT (pick-wt=8): 19 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 1.98/2.21 ** KEPT (pick-wt=2): 20 [] -empty($c4).
% 1.98/2.21 ** KEPT (pick-wt=2): 21 [] -empty($c5).
% 1.98/2.21 ** KEPT (pick-wt=6): 22 [] -in(A,B)|element(A,B).
% 1.98/2.21 ** KEPT (pick-wt=18): 23 [] -relation(A)| -function(A)| -relatAlarm clock
% 299.85/300.05 Otter interrupted
% 299.85/300.05 PROOF NOT FOUND
%------------------------------------------------------------------------------