TSTP Solution File: SEU242+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SEU242+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n014.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 13:15:19 EDT 2022

% Result   : Timeout 299.86s 300.03s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU242+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n014.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 07:52:24 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.79/1.98  ----- Otter 3.3f, August 2004 -----
% 1.79/1.98  The process was started by sandbox on n014.cluster.edu,
% 1.79/1.98  Wed Jul 27 07:52:24 2022
% 1.79/1.98  The command was "./otter".  The process ID is 23702.
% 1.79/1.98  
% 1.79/1.98  set(prolog_style_variables).
% 1.79/1.98  set(auto).
% 1.79/1.98     dependent: set(auto1).
% 1.79/1.98     dependent: set(process_input).
% 1.79/1.98     dependent: clear(print_kept).
% 1.79/1.98     dependent: clear(print_new_demod).
% 1.79/1.98     dependent: clear(print_back_demod).
% 1.79/1.98     dependent: clear(print_back_sub).
% 1.79/1.98     dependent: set(control_memory).
% 1.79/1.98     dependent: assign(max_mem, 12000).
% 1.79/1.98     dependent: assign(pick_given_ratio, 4).
% 1.79/1.98     dependent: assign(stats_level, 1).
% 1.79/1.98     dependent: assign(max_seconds, 10800).
% 1.79/1.98  clear(print_given).
% 1.79/1.98  
% 1.79/1.98  formula_list(usable).
% 1.79/1.98  all A (A=A).
% 1.79/1.98  all A B (in(A,B)-> -in(B,A)).
% 1.79/1.98  all A (empty(A)->function(A)).
% 1.79/1.98  all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 1.79/1.98  all A B (unordered_pair(A,B)=unordered_pair(B,A)).
% 1.79/1.98  all A B (set_union2(A,B)=set_union2(B,A)).
% 1.79/1.98  all A (relation(A)-> (connected(A)<->is_connected_in(A,relation_field(A)))).
% 1.79/1.98  all A B (ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A))).
% 1.79/1.98  all A (relation(A)->relation_field(A)=set_union2(relation_dom(A),relation_rng(A))).
% 1.79/1.98  all A (relation(A)-> (all B (is_connected_in(A,B)<-> (all C D (-(in(C,B)&in(D,B)&C!=D& -in(ordered_pair(C,D),A)& -in(ordered_pair(D,C),A))))))).
% 1.79/1.98  $T.
% 1.79/1.98  $T.
% 1.79/1.98  $T.
% 1.79/1.98  $T.
% 1.79/1.98  $T.
% 1.79/1.98  $T.
% 1.79/1.98  $T.
% 1.79/1.98  $T.
% 1.79/1.98  $T.
% 1.79/1.98  all A exists B element(B,A).
% 1.79/1.98  empty(empty_set).
% 1.79/1.98  all A B (-empty(ordered_pair(A,B))).
% 1.79/1.98  all A B (-empty(A)-> -empty(set_union2(A,B))).
% 1.79/1.98  all A B (-empty(A)-> -empty(set_union2(B,A))).
% 1.79/1.98  all A B (set_union2(A,A)=A).
% 1.79/1.98  -(all A (relation(A)-> (connected(A)<-> (all B C (-(in(B,relation_field(A))&in(C,relation_field(A))&B!=C& -in(ordered_pair(B,C),A)& -in(ordered_pair(C,B),A))))))).
% 1.79/1.98  exists A (relation(A)&function(A)).
% 1.79/1.98  exists A empty(A).
% 1.79/1.98  exists A (relation(A)&empty(A)&function(A)).
% 1.79/1.98  exists A (-empty(A)).
% 1.79/1.98  exists A (relation(A)&function(A)&one_to_one(A)).
% 1.79/1.98  all A (set_union2(A,empty_set)=A).
% 1.79/1.98  all A B (in(A,B)->element(A,B)).
% 1.79/1.98  all A B (element(A,B)->empty(B)|in(A,B)).
% 1.79/1.98  all A (empty(A)->A=empty_set).
% 1.79/1.98  all A B (-(in(A,B)&empty(B))).
% 1.79/1.98  all A B (-(empty(A)&A!=B&empty(B))).
% 1.79/1.98  end_of_list.
% 1.79/1.98  
% 1.79/1.98  -------> usable clausifies to:
% 1.79/1.98  
% 1.79/1.98  list(usable).
% 1.79/1.98  0 [] A=A.
% 1.79/1.98  0 [] -in(A,B)| -in(B,A).
% 1.79/1.98  0 [] -empty(A)|function(A).
% 1.79/1.98  0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 1.79/1.98  0 [] unordered_pair(A,B)=unordered_pair(B,A).
% 1.79/1.98  0 [] set_union2(A,B)=set_union2(B,A).
% 1.79/1.98  0 [] -relation(A)| -connected(A)|is_connected_in(A,relation_field(A)).
% 1.79/1.98  0 [] -relation(A)|connected(A)| -is_connected_in(A,relation_field(A)).
% 1.79/1.98  0 [] ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A)).
% 1.79/1.98  0 [] -relation(A)|relation_field(A)=set_union2(relation_dom(A),relation_rng(A)).
% 1.79/1.98  0 [] -relation(A)| -is_connected_in(A,B)| -in(C,B)| -in(D,B)|C=D|in(ordered_pair(C,D),A)|in(ordered_pair(D,C),A).
% 1.79/1.98  0 [] -relation(A)|is_connected_in(A,B)|in($f2(A,B),B).
% 1.79/1.98  0 [] -relation(A)|is_connected_in(A,B)|in($f1(A,B),B).
% 1.79/1.98  0 [] -relation(A)|is_connected_in(A,B)|$f2(A,B)!=$f1(A,B).
% 1.79/1.98  0 [] -relation(A)|is_connected_in(A,B)| -in(ordered_pair($f2(A,B),$f1(A,B)),A).
% 1.79/1.98  0 [] -relation(A)|is_connected_in(A,B)| -in(ordered_pair($f1(A,B),$f2(A,B)),A).
% 1.79/1.98  0 [] $T.
% 1.79/1.98  0 [] $T.
% 1.79/1.98  0 [] $T.
% 1.79/1.98  0 [] $T.
% 1.79/1.98  0 [] $T.
% 1.79/1.98  0 [] $T.
% 1.79/1.98  0 [] $T.
% 1.79/1.98  0 [] $T.
% 1.79/1.98  0 [] $T.
% 1.79/1.98  0 [] element($f3(A),A).
% 1.79/1.98  0 [] empty(empty_set).
% 1.79/1.98  0 [] -empty(ordered_pair(A,B)).
% 1.79/1.98  0 [] empty(A)| -empty(set_union2(A,B)).
% 1.79/1.98  0 [] empty(A)| -empty(set_union2(B,A)).
% 1.79/1.98  0 [] set_union2(A,A)=A.
% 1.79/1.98  0 [] relation($c3).
% 1.79/1.98  0 [] connected($c3)| -in(B,relation_field($c3))| -in(C,relation_field($c3))|B=C|in(ordered_pair(B,C),$c3)|in(ordered_pair(C,B),$c3).
% 1.79/1.98  0 [] -connected($c3)|in($c2,relation_field($c3)).
% 1.79/1.98  0 [] -connected($c3)|in($c1,relation_field($c3)).
% 1.79/1.98  0 [] -connected($c3)|$c2!=$c1.
% 1.79/1.98  0 [] -connected($c3)| -in(ordered_pair($c2,$c1),$c3).
% 1.79/1.98  0 [] -connected($c3)| -in(ordered_pair($c1,$c2),$c3).
% 1.79/1.98  0 [] relation($c4).
% 1.79/1.98  0 [] function($c4).
% 1.79/1.98  0 [] empty($c5).
% 1.79/1.98  0 [] relation($c6).
% 1.79/1.98  0 [] empty($c6).
% 1.79/1.98  0 [] function($c6).
% 1.79/1.98  0 [] -empty($c7).
% 1.79/1.98  0 [] relation($c8).
% 1.79/1.98  0 [] function($c8).
% 1.79/1.98  0 [] one_to_one($c8).
% 1.79/1.98  0 [] set_union2(A,empty_set)=A.
% 1.79/1.98  0 [] -in(A,B)|element(A,B).
% 1.79/1.98  0 [] -element(A,B)|empty(B)|in(A,B).
% 1.79/1.98  0 [] -empty(A)|A=empty_set.
% 1.79/1.98  0 [] -in(A,B)| -empty(B).
% 1.79/1.98  0 [] -empty(A)|A=B| -empty(B).
% 1.79/1.98  end_of_list.
% 1.79/1.98  
% 1.79/1.98  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 1.79/1.98  
% 1.79/1.98  This ia a non-Horn set with equality.  The strategy will be
% 1.79/1.98  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.79/1.98  deletion, with positive clauses in sos and nonpositive
% 1.79/1.98  clauses in usable.
% 1.79/1.98  
% 1.79/1.98     dependent: set(knuth_bendix).
% 1.79/1.98     dependent: set(anl_eq).
% 1.79/1.98     dependent: set(para_from).
% 1.79/1.98     dependent: set(para_into).
% 1.79/1.98     dependent: clear(para_from_right).
% 1.79/1.98     dependent: clear(para_into_right).
% 1.79/1.98     dependent: set(para_from_vars).
% 1.79/1.98     dependent: set(eq_units_both_ways).
% 1.79/1.98     dependent: set(dynamic_demod_all).
% 1.79/1.98     dependent: set(dynamic_demod).
% 1.79/1.98     dependent: set(order_eq).
% 1.79/1.98     dependent: set(back_demod).
% 1.79/1.98     dependent: set(lrpo).
% 1.79/1.98     dependent: set(hyper_res).
% 1.79/1.98     dependent: set(unit_deletion).
% 1.79/1.98     dependent: set(factor).
% 1.79/1.98  
% 1.79/1.98  ------------> process usable:
% 1.79/1.98  ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 1.79/1.98  ** KEPT (pick-wt=4): 2 [] -empty(A)|function(A).
% 1.79/1.98  ** KEPT (pick-wt=8): 3 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 1.79/1.98  ** KEPT (pick-wt=8): 4 [] -relation(A)| -connected(A)|is_connected_in(A,relation_field(A)).
% 1.79/1.98  ** KEPT (pick-wt=8): 5 [] -relation(A)|connected(A)| -is_connected_in(A,relation_field(A)).
% 1.79/1.98  ** KEPT (pick-wt=10): 7 [copy,6,flip.2] -relation(A)|set_union2(relation_dom(A),relation_rng(A))=relation_field(A).
% 1.79/1.98  ** KEPT (pick-wt=24): 8 [] -relation(A)| -is_connected_in(A,B)| -in(C,B)| -in(D,B)|C=D|in(ordered_pair(C,D),A)|in(ordered_pair(D,C),A).
% 1.79/1.98  ** KEPT (pick-wt=10): 9 [] -relation(A)|is_connected_in(A,B)|in($f2(A,B),B).
% 1.79/1.98  ** KEPT (pick-wt=10): 10 [] -relation(A)|is_connected_in(A,B)|in($f1(A,B),B).
% 1.79/1.98  ** KEPT (pick-wt=12): 11 [] -relation(A)|is_connected_in(A,B)|$f2(A,B)!=$f1(A,B).
% 1.79/1.98  ** KEPT (pick-wt=14): 12 [] -relation(A)|is_connected_in(A,B)| -in(ordered_pair($f2(A,B),$f1(A,B)),A).
% 1.79/1.98  ** KEPT (pick-wt=14): 13 [] -relation(A)|is_connected_in(A,B)| -in(ordered_pair($f1(A,B),$f2(A,B)),A).
% 1.79/1.98  ** KEPT (pick-wt=4): 14 [] -empty(ordered_pair(A,B)).
% 1.79/1.98  ** KEPT (pick-wt=6): 15 [] empty(A)| -empty(set_union2(A,B)).
% 1.79/1.98  ** KEPT (pick-wt=6): 16 [] empty(A)| -empty(set_union2(B,A)).
% 1.79/1.98  ** KEPT (pick-wt=23): 17 [] connected($c3)| -in(A,relation_field($c3))| -in(B,relation_field($c3))|A=B|in(ordered_pair(A,B),$c3)|in(ordered_pair(B,A),$c3).
% 1.79/1.98  ** KEPT (pick-wt=6): 18 [] -connected($c3)|in($c2,relation_field($c3)).
% 1.79/1.98  ** KEPT (pick-wt=6): 19 [] -connected($c3)|in($c1,relation_field($c3)).
% 1.79/1.98  ** KEPT (pick-wt=5): 20 [] -connected($c3)|$c2!=$c1.
% 1.79/1.98  ** KEPT (pick-wt=7): 21 [] -connected($c3)| -in(ordered_pair($c2,$c1),$c3).
% 1.79/1.98  ** KEPT (pick-wt=7): 22 [] -connected($c3)| -in(ordered_pair($c1,$c2),$c3).
% 1.79/1.98  ** KEPT (pick-wt=2): 23 [] -empty($c7).
% 1.79/1.98  ** KEPT (pick-wt=6): 24 [] -in(A,B)|element(A,B).
% 1.79/1.98  ** KEPT (pick-wt=8): 25 [] -element(A,B)|empty(B)|in(A,B).
% 1.79/1.98  ** KEPT (pick-wt=5): 26 [] -empty(A)|A=empty_set.
% 1.79/1.98  ** KEPT (pick-wt=5): 27 [] -in(A,B)| -empty(B).
% 1.79/1.98  ** KEPT (pick-wt=7): 28 [] -empty(A)|A=B| -empty(B).
% 1.79/1.98  
% 1.79/1.98  ------------> process sos:
% 1.79/1.98  ** KEPT (pick-wt=3): 33 [] A=A.
% 1.79/1.98  ** KEPT (pick-wt=7): 34 [] unordered_pair(A,B)=unordered_pair(B,A).
% 1.79/1.98  ** KEPT (pick-wt=7): 35 [] set_union2(A,B)=set_union2(B,A).
% 1.79/1.98  ** KEPT (pick-wt=10): 37 [copy,36,flip.1] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 1.79/1.98  ---> New Demodulator: 38 [new_demod,37] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 1.79/1.98  ** KEPT (pick-wt=4): 39 [] element($f3(A),A).
% 1.79/1.98  ** KEPT (pick-wt=2): 40 [] empty(empty_set).
% 1.79/1.98  ** KEPT (pick-wt=5): 41 [] set_union2(A,A)=A.
% 1.79/1.98  ---> New Demodulator: 42 [new_demod,41] set_union2(A,A)=A.
% 1.79/1.98  ** KEPT (pick-wt=2): 43 [] relation($c3).
% 1.79/1.98  ** KEPT (pick-wt=2): 44 [] relation($c4).
% 1.79/1.98  ** KEPT (pick-wt=2): 45 [] function($c4).
% 1.79/1.98  ** KEPT (pick-wt=2): 46 [] empty($c5).
% 1.79/1.98  ** KEPT (pick-wt=2): 47 [] relation($c6).
% 1.79/1.98  ** KEPT (pick-wt=2): 48 [] empty($c6).
% 1.79/1.98  ** KEPT (pick-wt=2): 49 [] function($c6).
% 1.79/1.98  ** KEPT (pick-wt=2): 50 [] relation($c8).
% 1.79/1.98  ** KEPT (pick-wt=2): 51 [] function($c8).
% 1.79/1.98  ** KEPT (pick-wt=2): 52 [] one_to_one($c8).
% 1.79/1.98  ** KEPT (pick-wt=5): 53 [] set_union2(A,empty_set)=A.
% 1.79/1.98  ---> New Demodulator: 54 [new_demod,53] set_union2(A,empty_set)=A.
% 1.79/1.98    Following clause subsumed by 33 during input processing: 0 [copy,33,flip.1] A=A.
% 1.79/1.98  33 bAlarm clock 
% 299.86/300.03  Otter interrupted
% 299.86/300.03  PROOF NOT FOUND
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