TSTP Solution File: SEU245+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SEU245+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n028.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 300.05s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SEU245+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n028.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 08:11:04 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.73/1.94  ----- Otter 3.3f, August 2004 -----
% 1.73/1.94  The process was started by sandbox2 on n028.cluster.edu,
% 1.73/1.94  Wed Jul 27 08:11:04 2022
% 1.73/1.94  The command was "./otter".  The process ID is 15330.
% 1.73/1.94  
% 1.73/1.94  set(prolog_style_variables).
% 1.73/1.94  set(auto).
% 1.73/1.94     dependent: set(auto1).
% 1.73/1.94     dependent: set(process_input).
% 1.73/1.94     dependent: clear(print_kept).
% 1.73/1.94     dependent: clear(print_new_demod).
% 1.73/1.94     dependent: clear(print_back_demod).
% 1.73/1.94     dependent: clear(print_back_sub).
% 1.73/1.94     dependent: set(control_memory).
% 1.73/1.94     dependent: assign(max_mem, 12000).
% 1.73/1.94     dependent: assign(pick_given_ratio, 4).
% 1.73/1.94     dependent: assign(stats_level, 1).
% 1.73/1.94     dependent: assign(max_seconds, 10800).
% 1.73/1.94  clear(print_given).
% 1.73/1.94  
% 1.73/1.94  formula_list(usable).
% 1.73/1.94  all A (A=A).
% 1.73/1.94  exists A (relation(A)&function(A)&one_to_one(A)).
% 1.73/1.94  $T.
% 1.73/1.94  exists A (relation(A)&function(A)).
% 1.73/1.94  exists A (relation(A)&empty(A)&function(A)).
% 1.73/1.94  all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 1.73/1.94  empty(empty_set).
% 1.73/1.94  all A (set_intersection2(A,empty_set)=empty_set).
% 1.73/1.94  all A exists B element(B,A).
% 1.73/1.94  $T.
% 1.73/1.94  all A (empty(A)->function(A)).
% 1.73/1.94  exists A empty(A).
% 1.73/1.94  exists A (-empty(A)).
% 1.73/1.94  all A B (element(A,B)->empty(B)|in(A,B)).
% 1.73/1.94  all A (empty(A)->A=empty_set).
% 1.73/1.94  all A B (-(empty(A)&A!=B&empty(B))).
% 1.73/1.94  all A B (set_intersection2(A,B)=set_intersection2(B,A)).
% 1.73/1.94  all A B (set_intersection2(A,A)=A).
% 1.73/1.94  all A B (in(A,B)-> -in(B,A)).
% 1.73/1.94  all A B (relation(A)->relation(relation_restriction(A,B))).
% 1.73/1.94  $T.
% 1.73/1.94  $T.
% 1.73/1.94  all A B (in(A,B)->element(A,B)).
% 1.73/1.94  all A B (-(in(A,B)&empty(B))).
% 1.73/1.94  all A (relation(A)-> (all B (relation_restriction(A,B)=set_intersection2(A,cartesian_product2(B,B))))).
% 1.73/1.94  -(all A B C (relation(C)-> (in(A,relation_restriction(C,B))<->in(A,C)&in(A,cartesian_product2(B,B))))).
% 1.73/1.94  all A B C (C=set_intersection2(A,B)<-> (all D (in(D,C)<->in(D,A)&in(D,B)))).
% 1.73/1.94  end_of_list.
% 1.73/1.94  
% 1.73/1.94  -------> usable clausifies to:
% 1.73/1.94  
% 1.73/1.94  list(usable).
% 1.73/1.94  0 [] A=A.
% 1.73/1.94  0 [] relation($c1).
% 1.73/1.94  0 [] function($c1).
% 1.73/1.94  0 [] one_to_one($c1).
% 1.73/1.94  0 [] $T.
% 1.73/1.94  0 [] relation($c2).
% 1.73/1.94  0 [] function($c2).
% 1.73/1.94  0 [] relation($c3).
% 1.73/1.94  0 [] empty($c3).
% 1.73/1.94  0 [] function($c3).
% 1.73/1.94  0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 1.73/1.94  0 [] empty(empty_set).
% 1.73/1.94  0 [] set_intersection2(A,empty_set)=empty_set.
% 1.73/1.94  0 [] element($f1(A),A).
% 1.73/1.94  0 [] $T.
% 1.73/1.94  0 [] -empty(A)|function(A).
% 1.73/1.94  0 [] empty($c4).
% 1.73/1.94  0 [] -empty($c5).
% 1.73/1.94  0 [] -element(A,B)|empty(B)|in(A,B).
% 1.73/1.94  0 [] -empty(A)|A=empty_set.
% 1.73/1.94  0 [] -empty(A)|A=B| -empty(B).
% 1.73/1.94  0 [] set_intersection2(A,B)=set_intersection2(B,A).
% 1.73/1.94  0 [] set_intersection2(A,A)=A.
% 1.73/1.94  0 [] -in(A,B)| -in(B,A).
% 1.73/1.94  0 [] -relation(A)|relation(relation_restriction(A,B)).
% 1.73/1.94  0 [] $T.
% 1.73/1.94  0 [] $T.
% 1.73/1.94  0 [] -in(A,B)|element(A,B).
% 1.73/1.94  0 [] -in(A,B)| -empty(B).
% 1.73/1.94  0 [] -relation(A)|relation_restriction(A,B)=set_intersection2(A,cartesian_product2(B,B)).
% 1.73/1.94  0 [] relation($c6).
% 1.73/1.94  0 [] in($c8,relation_restriction($c6,$c7))|in($c8,$c6).
% 1.73/1.94  0 [] in($c8,relation_restriction($c6,$c7))|in($c8,cartesian_product2($c7,$c7)).
% 1.73/1.94  0 [] -in($c8,relation_restriction($c6,$c7))| -in($c8,$c6)| -in($c8,cartesian_product2($c7,$c7)).
% 1.73/1.94  0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,A).
% 1.73/1.94  0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,B).
% 1.73/1.94  0 [] C!=set_intersection2(A,B)|in(D,C)| -in(D,A)| -in(D,B).
% 1.73/1.94  0 [] C=set_intersection2(A,B)|in($f2(A,B,C),C)|in($f2(A,B,C),A).
% 1.73/1.94  0 [] C=set_intersection2(A,B)|in($f2(A,B,C),C)|in($f2(A,B,C),B).
% 1.73/1.94  0 [] C=set_intersection2(A,B)| -in($f2(A,B,C),C)| -in($f2(A,B,C),A)| -in($f2(A,B,C),B).
% 1.73/1.94  end_of_list.
% 1.73/1.94  
% 1.73/1.94  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 1.73/1.94  
% 1.73/1.94  This ia a non-Horn set with equality.  The strategy will be
% 1.73/1.94  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.73/1.94  deletion, with positive clauses in sos and nonpositive
% 1.73/1.94  clauses in usable.
% 1.73/1.94  
% 1.73/1.94     dependent: set(knuth_bendix).
% 1.73/1.94     dependent: set(anl_eq).
% 1.73/1.94     dependent: set(para_from).
% 1.73/1.94     dependent: set(para_into).
% 1.73/1.94     dependent: clear(para_from_right).
% 1.73/1.94     dependent: clear(para_into_right).
% 1.73/1.94     dependent: set(para_from_vars).
% 1.73/1.94     dependent: set(eq_units_both_ways).
% 1.73/1.94     dependent: set(dynamic_demod_all).
% 1.73/1.94     dependent: set(dynamic_demod).
% 1.73/1.94     dependent: set(order_eq).
% 1.73/1.94     dependent: set(back_demod).
% 1.73/1.94     dependent: set(lrpo).
% 1.73/1.94     dependent: set(hyper_res).
% 1.73/1.94     dependent: set(unit_deletion).
% 1.73/1.94     dependent: set(factor).
% 1.73/1.94  
% 1.73/1.94  ------------> process usable:
% 1.73/1.94  ** KEPT (pick-wt=8): 1 [] -relation(A)| -empty(A)| -funcAlarm clock 
% 299.86/300.05  Otter interrupted
% 299.86/300.05  PROOF NOT FOUND
%------------------------------------------------------------------------------