TSTP Solution File: SEU384+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SEU384+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 13:16:00 EDT 2022

% Result   : Unknown 8.56s 8.72s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU384+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n015.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 07:46:41 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 2.23/2.44  ----- Otter 3.3f, August 2004 -----
% 2.23/2.44  The process was started by sandbox2 on n015.cluster.edu,
% 2.23/2.44  Wed Jul 27 07:46:42 2022
% 2.23/2.44  The command was "./otter".  The process ID is 14151.
% 2.23/2.44  
% 2.23/2.44  set(prolog_style_variables).
% 2.23/2.44  set(auto).
% 2.23/2.44     dependent: set(auto1).
% 2.23/2.44     dependent: set(process_input).
% 2.23/2.44     dependent: clear(print_kept).
% 2.23/2.44     dependent: clear(print_new_demod).
% 2.23/2.44     dependent: clear(print_back_demod).
% 2.23/2.44     dependent: clear(print_back_sub).
% 2.23/2.44     dependent: set(control_memory).
% 2.23/2.44     dependent: assign(max_mem, 12000).
% 2.23/2.44     dependent: assign(pick_given_ratio, 4).
% 2.23/2.44     dependent: assign(stats_level, 1).
% 2.23/2.44     dependent: assign(max_seconds, 10800).
% 2.23/2.44  clear(print_given).
% 2.23/2.44  
% 2.23/2.44  formula_list(usable).
% 2.23/2.44  all A (A=A).
% 2.23/2.44  all A B (one_sorted_str(A)&net_str(B,A)-> (strict_net_str(B,A)->B=net_str_of(A,the_carrier(B),the_InternalRel(B),the_mapping(A,B)))).
% 2.23/2.44  all A B (in(A,B)-> -in(B,A)).
% 2.23/2.44  all A (empty(A)->finite(A)).
% 2.23/2.44  all A (preboolean(A)->cup_closed(A)&diff_closed(A)).
% 2.23/2.44  all A (empty(A)->function(A)).
% 2.23/2.44  all A B C (relation_of2(C,A,B)-> (function(C)&v1_partfun1(C,A,B)->function(C)&quasi_total(C,A,B))).
% 2.23/2.44  all A B C (element(C,powerset(cartesian_product2(A,B)))->relation(C)).
% 2.23/2.44  all A (finite(A)-> (all B (element(B,powerset(A))->finite(B)))).
% 2.23/2.44  all A (cup_closed(A)&diff_closed(A)->preboolean(A)).
% 2.23/2.44  all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 2.23/2.44  all A B (-empty(B)-> (all C (relation_of2(C,A,B)-> (function(C)&quasi_total(C,A,B)->function(C)&v1_partfun1(C,A,B)&quasi_total(C,A,B))))).
% 2.23/2.44  all A B (-empty(A)& -empty(B)-> (all C (relation_of2(C,A,B)-> (function(C)&quasi_total(C,A,B)->function(C)& -empty(C)&v1_partfun1(C,A,B)&quasi_total(C,A,B))))).
% 2.23/2.44  all A B (A=B<->subset(A,B)&subset(B,A)).
% 2.23/2.44  all A B (subset(A,B)<-> (all C (in(C,A)->in(C,B)))).
% 2.23/2.44  all A (-empty_carrier(A)&one_sorted_str(A)-> (all B (-empty_carrier(B)&net_str(B,A)-> (all C (element(C,the_carrier(B))-> (all D (strict_net_str(D,A)&net_str(D,A)-> (D=netstr_restr_to_element(A,B,C)<-> (all E (in(E,the_carrier(D))<-> (exists F (element(F,the_carrier(B))&F=E&related(B,C,F)))))&the_InternalRel(D)=relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(D))&the_mapping(A,D)=partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(D)))))))))).
% 2.23/2.44  all A B C D (one_sorted_str(A)&relation_of2(C,B,B)&function(D)&quasi_total(D,B,the_carrier(A))&relation_of2(D,B,the_carrier(A))->strict_net_str(net_str_of(A,B,C,D),A)&net_str(net_str_of(A,B,C,D),A)).
% 2.23/2.44  all A B (relation(A)->relation_of2_as_subset(relation_restriction_as_relation_of(A,B),B,B)).
% 2.23/2.44  $T.
% 2.23/2.44  $T.
% 2.23/2.44  all A B C D (function(C)&relation_of2(C,A,B)->function(partfun_dom_restriction(A,B,C,D))&relation_of2_as_subset(partfun_dom_restriction(A,B,C,D),A,B)).
% 2.23/2.44  all A B (relation(A)->relation(relation_restriction(A,B))).
% 2.23/2.44  $T.
% 2.23/2.44  all A B C (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&net_str(B,A)&element(C,the_carrier(B))->strict_net_str(netstr_restr_to_element(A,B,C),A)&net_str(netstr_restr_to_element(A,B,C),A)).
% 2.23/2.44  all A B (relation(A)->relation(relation_dom_restriction(A,B))).
% 2.23/2.44  all A (rel_str(A)->one_sorted_str(A)).
% 2.23/2.44  $T.
% 2.23/2.44  all A (one_sorted_str(A)-> (all B (net_str(B,A)->rel_str(B)))).
% 2.23/2.44  $T.
% 2.23/2.44  $T.
% 2.23/2.44  all A B C (relation_of2_as_subset(C,A,B)->element(C,powerset(cartesian_product2(A,B)))).
% 2.23/2.44  all A (rel_str(A)->relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A))).
% 2.23/2.44  $T.
% 2.23/2.44  all A B (one_sorted_str(A)&net_str(B,A)->function(the_mapping(A,B))&quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A))&relation_of2_as_subset(the_mapping(A,B),the_carrier(B),the_carrier(A))).
% 2.23/2.44  exists A rel_str(A).
% 2.23/2.44  exists A one_sorted_str(A).
% 2.23/2.44  all A (one_sorted_str(A)-> (exists B net_str(B,A))).
% 2.23/2.44  all A B exists C relation_of2(C,A,B).
% 2.23/2.44  all A exists B element(B,A).
% 2.23/2.44  all A B exists C relation_of2_as_subset(C,A,B).
% 2.23/2.44  all A B (finite(A)&finite(B)->finite(cartesian_product2(A,B))).
% 2.23/2.44  all A B (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&net_str(B,A)-> -empty(the_mapping(A,B))&relation(the_mapping(A,B))&function(the_mapping(A,B))&quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A))).
% 2.23/2.44  all A (-empty(powerset(A))&cup_closed(powerset(A))&diff_closed(powerset(A))&preboolean(powerset(A))).
% 2.23/2.44  all A (-empty_carrier(A)&one_sorted_str(A)-> -empty(the_carrier(A))).
% 2.23/2.45  empty(empty_set).
% 2.23/2.45  all A B (relation(A)&function(A)->relation(relation_dom_restriction(A,B))&function(relation_dom_restriction(A,B))).
% 2.23/2.45  all A B C D (one_sorted_str(A)& -empty(B)&relation_of2(C,B,B)&function(D)&quasi_total(D,B,the_carrier(A))&relation_of2(D,B,the_carrier(A))-> -empty_carrier(net_str_of(A,B,C,D))&strict_net_str(net_str_of(A,B,C,D),A)).
% 2.23/2.45  all A B C D (-empty_carrier(B)&one_sorted_str(B)& -empty_carrier(C)&net_str(C,B)&element(D,the_carrier(C))-> (in(A,a_3_0_waybel_9(B,C,D))<-> (exists E (element(E,the_carrier(C))&A=E&related(C,D,E))))).
% 2.23/2.45  all A B C D (one_sorted_str(A)&relation_of2(C,B,B)&function(D)&quasi_total(D,B,the_carrier(A))&relation_of2(D,B,the_carrier(A))-> (all E F G H (net_str_of(A,B,C,D)=net_str_of(E,F,G,H)->A=E&B=F&C=G&D=H))).
% 2.23/2.45  exists A (-empty(A)&finite(A)).
% 2.23/2.45  exists A (relation(A)&function(A)).
% 2.23/2.45  all A B exists C (relation_of2(C,A,B)&relation(C)&function(C)&quasi_total(C,A,B)).
% 2.23/2.45  exists A empty(A).
% 2.23/2.45  exists A (relation(A)&empty(A)&function(A)).
% 2.23/2.45  exists A (-empty(A)).
% 2.23/2.45  all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 2.23/2.45  exists A (relation(A)&function(A)&one_to_one(A)).
% 2.23/2.45  exists A (one_sorted_str(A)& -empty_carrier(A)).
% 2.23/2.45  all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 2.23/2.45  all A (one_sorted_str(A)-> (exists B (net_str(B,A)&strict_net_str(B,A)))).
% 2.23/2.45  all A (-empty_carrier(A)&one_sorted_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)))).
% 2.23/2.45  all A B (relation(A)->relation_restriction_as_relation_of(A,B)=relation_restriction(A,B)).
% 2.23/2.45  all A B C D (function(C)&relation_of2(C,A,B)->partfun_dom_restriction(A,B,C,D)=relation_dom_restriction(C,D)).
% 2.23/2.45  all A B C (relation_of2_as_subset(C,A,B)<->relation_of2(C,A,B)).
% 2.23/2.45  all A B subset(A,A).
% 2.23/2.45  -(all A (-empty_carrier(A)&one_sorted_str(A)-> (all B (-empty_carrier(B)&net_str(B,A)-> (all C (element(C,the_carrier(B))->the_carrier(netstr_restr_to_element(A,B,C))=a_3_0_waybel_9(A,B,C))))))).
% 2.23/2.45  all A B (in(A,B)->element(A,B)).
% 2.23/2.45  all A B (element(A,B)->empty(B)|in(A,B)).
% 2.23/2.45  all A B ((all C (in(C,A)<->in(C,B)))->A=B).
% 2.23/2.45  all A B (element(A,powerset(B))<->subset(A,B)).
% 2.23/2.45  all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 2.23/2.45  all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 2.23/2.45  all A (empty(A)->A=empty_set).
% 2.23/2.45  all A B (-(in(A,B)&empty(B))).
% 2.23/2.45  all A B (-(empty(A)&A!=B&empty(B))).
% 2.23/2.45  end_of_list.
% 2.23/2.45  
% 2.23/2.45  -------> usable clausifies to:
% 2.23/2.45  
% 2.23/2.45  list(usable).
% 2.23/2.45  0 [] A=A.
% 2.23/2.45  0 [] -one_sorted_str(A)| -net_str(B,A)| -strict_net_str(B,A)|B=net_str_of(A,the_carrier(B),the_InternalRel(B),the_mapping(A,B)).
% 2.23/2.45  0 [] -in(A,B)| -in(B,A).
% 2.23/2.45  0 [] -empty(A)|finite(A).
% 2.23/2.45  0 [] -preboolean(A)|cup_closed(A).
% 2.23/2.45  0 [] -preboolean(A)|diff_closed(A).
% 2.23/2.45  0 [] -empty(A)|function(A).
% 2.23/2.45  0 [] -relation_of2(C,A,B)| -function(C)| -v1_partfun1(C,A,B)|quasi_total(C,A,B).
% 2.23/2.45  0 [] -element(C,powerset(cartesian_product2(A,B)))|relation(C).
% 2.23/2.45  0 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 2.23/2.45  0 [] -cup_closed(A)| -diff_closed(A)|preboolean(A).
% 2.23/2.45  0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 2.23/2.45  0 [] empty(B)| -relation_of2(C,A,B)| -function(C)| -quasi_total(C,A,B)|v1_partfun1(C,A,B).
% 2.23/2.45  0 [] empty(A)|empty(B)| -relation_of2(C,A,B)| -function(C)| -quasi_total(C,A,B)| -empty(C).
% 2.23/2.45  0 [] empty(A)|empty(B)| -relation_of2(C,A,B)| -function(C)| -quasi_total(C,A,B)|v1_partfun1(C,A,B).
% 2.23/2.45  0 [] A!=B|subset(A,B).
% 2.23/2.45  0 [] A!=B|subset(B,A).
% 2.23/2.45  0 [] A=B| -subset(A,B)| -subset(B,A).
% 2.23/2.45  0 [] -subset(A,B)| -in(C,A)|in(C,B).
% 2.23/2.45  0 [] subset(A,B)|in($f1(A,B),A).
% 2.23/2.45  0 [] subset(A,B)| -in($f1(A,B),B).
% 2.23/2.45  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D!=netstr_restr_to_element(A,B,C)| -in(E,the_carrier(D))|element($f2(A,B,C,D,E),the_carrier(B)).
% 2.23/2.45  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D!=netstr_restr_to_element(A,B,C)| -in(E,the_carrier(D))|$f2(A,B,C,D,E)=E.
% 2.23/2.45  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D!=netstr_restr_to_element(A,B,C)| -in(E,the_carrier(D))|related(B,C,$f2(A,B,C,D,E)).
% 2.23/2.45  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D!=netstr_restr_to_element(A,B,C)|in(E,the_carrier(D))| -element(F,the_carrier(B))|F!=E| -related(B,C,F).
% 2.23/2.45  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D!=netstr_restr_to_element(A,B,C)|the_InternalRel(D)=relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(D)).
% 2.23/2.45  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D!=netstr_restr_to_element(A,B,C)|the_mapping(A,D)=partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(D)).
% 2.23/2.45  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D=netstr_restr_to_element(A,B,C)|in($f4(A,B,C,D),the_carrier(D))|element($f3(A,B,C,D),the_carrier(B))|the_InternalRel(D)!=relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(D))|the_mapping(A,D)!=partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(D)).
% 2.23/2.45  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D=netstr_restr_to_element(A,B,C)|in($f4(A,B,C,D),the_carrier(D))|$f3(A,B,C,D)=$f4(A,B,C,D)|the_InternalRel(D)!=relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(D))|the_mapping(A,D)!=partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(D)).
% 2.23/2.45  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D=netstr_restr_to_element(A,B,C)|in($f4(A,B,C,D),the_carrier(D))|related(B,C,$f3(A,B,C,D))|the_InternalRel(D)!=relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(D))|the_mapping(A,D)!=partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(D)).
% 2.23/2.45  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D=netstr_restr_to_element(A,B,C)| -in($f4(A,B,C,D),the_carrier(D))| -element(X1,the_carrier(B))|X1!=$f4(A,B,C,D)| -related(B,C,X1)|the_InternalRel(D)!=relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(D))|the_mapping(A,D)!=partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(D)).
% 2.23/2.45  0 [] -one_sorted_str(A)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|strict_net_str(net_str_of(A,B,C,D),A).
% 2.23/2.45  0 [] -one_sorted_str(A)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|net_str(net_str_of(A,B,C,D),A).
% 2.23/2.45  0 [] -relation(A)|relation_of2_as_subset(relation_restriction_as_relation_of(A,B),B,B).
% 2.23/2.45  0 [] $T.
% 2.23/2.45  0 [] $T.
% 2.23/2.45  0 [] -function(C)| -relation_of2(C,A,B)|function(partfun_dom_restriction(A,B,C,D)).
% 2.23/2.45  0 [] -function(C)| -relation_of2(C,A,B)|relation_of2_as_subset(partfun_dom_restriction(A,B,C,D),A,B).
% 2.23/2.45  0 [] -relation(A)|relation(relation_restriction(A,B)).
% 2.23/2.45  0 [] $T.
% 2.23/2.45  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))|strict_net_str(netstr_restr_to_element(A,B,C),A).
% 2.23/2.45  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))|net_str(netstr_restr_to_element(A,B,C),A).
% 2.23/2.45  0 [] -relation(A)|relation(relation_dom_restriction(A,B)).
% 2.23/2.45  0 [] -rel_str(A)|one_sorted_str(A).
% 2.23/2.45  0 [] $T.
% 2.23/2.45  0 [] -one_sorted_str(A)| -net_str(B,A)|rel_str(B).
% 2.23/2.45  0 [] $T.
% 2.23/2.45  0 [] $T.
% 2.23/2.45  0 [] -relation_of2_as_subset(C,A,B)|element(C,powerset(cartesian_product2(A,B))).
% 2.23/2.45  0 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 2.23/2.45  0 [] $T.
% 2.23/2.45  0 [] -one_sorted_str(A)| -net_str(B,A)|function(the_mapping(A,B)).
% 2.23/2.45  0 [] -one_sorted_str(A)| -net_str(B,A)|quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 2.23/2.45  0 [] -one_sorted_str(A)| -net_str(B,A)|relation_of2_as_subset(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 2.23/2.45  0 [] rel_str($c1).
% 2.23/2.45  0 [] one_sorted_str($c2).
% 2.23/2.45  0 [] -one_sorted_str(A)|net_str($f5(A),A).
% 2.23/2.45  0 [] relation_of2($f6(A,B),A,B).
% 2.23/2.45  0 [] element($f7(A),A).
% 2.23/2.45  0 [] relation_of2_as_subset($f8(A,B),A,B).
% 2.23/2.45  0 [] -finite(A)| -finite(B)|finite(cartesian_product2(A,B)).
% 2.23/2.45  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -empty(the_mapping(A,B)).
% 2.23/2.45  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|relation(the_mapping(A,B)).
% 2.23/2.45  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|function(the_mapping(A,B)).
% 2.23/2.45  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 2.23/2.45  0 [] -empty(powerset(A)).
% 2.23/2.45  0 [] cup_closed(powerset(A)).
% 2.23/2.45  0 [] diff_closed(powerset(A)).
% 2.23/2.45  0 [] preboolean(powerset(A)).
% 2.23/2.45  0 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 2.23/2.45  0 [] empty(empty_set).
% 2.23/2.45  0 [] -relation(A)| -function(A)|relation(relation_dom_restriction(A,B)).
% 2.23/2.45  0 [] -relation(A)| -function(A)|function(relation_dom_restriction(A,B)).
% 2.23/2.45  0 [] -one_sorted_str(A)|empty(B)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))| -empty_carrier(net_str_of(A,B,C,D)).
% 2.23/2.45  0 [] -one_sorted_str(A)|empty(B)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|strict_net_str(net_str_of(A,B,C,D),A).
% 2.23/2.45  0 [] empty_carrier(B)| -one_sorted_str(B)|empty_carrier(C)| -net_str(C,B)| -element(D,the_carrier(C))| -in(A,a_3_0_waybel_9(B,C,D))|element($f9(A,B,C,D),the_carrier(C)).
% 2.23/2.45  0 [] empty_carrier(B)| -one_sorted_str(B)|empty_carrier(C)| -net_str(C,B)| -element(D,the_carrier(C))| -in(A,a_3_0_waybel_9(B,C,D))|A=$f9(A,B,C,D).
% 2.23/2.45  0 [] empty_carrier(B)| -one_sorted_str(B)|empty_carrier(C)| -net_str(C,B)| -element(D,the_carrier(C))| -in(A,a_3_0_waybel_9(B,C,D))|related(C,D,$f9(A,B,C,D)).
% 2.23/2.45  0 [] empty_carrier(B)| -one_sorted_str(B)|empty_carrier(C)| -net_str(C,B)| -element(D,the_carrier(C))|in(A,a_3_0_waybel_9(B,C,D))| -element(E,the_carrier(C))|A!=E| -related(C,D,E).
% 2.23/2.45  0 [] -one_sorted_str(A)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|net_str_of(A,B,C,D)!=net_str_of(E,F,G,H)|A=E.
% 2.23/2.45  0 [] -one_sorted_str(A)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|net_str_of(A,B,C,D)!=net_str_of(E,F,G,H)|B=F.
% 2.23/2.45  0 [] -one_sorted_str(A)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|net_str_of(A,B,C,D)!=net_str_of(E,F,G,H)|C=G.
% 2.23/2.45  0 [] -one_sorted_str(A)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|net_str_of(A,B,C,D)!=net_str_of(E,F,G,H)|D=H.
% 2.23/2.45  0 [] -empty($c3).
% 2.23/2.45  0 [] finite($c3).
% 2.23/2.45  0 [] relation($c4).
% 2.23/2.45  0 [] function($c4).
% 2.23/2.45  0 [] relation_of2($f10(A,B),A,B).
% 2.23/2.45  0 [] relation($f10(A,B)).
% 2.23/2.45  0 [] function($f10(A,B)).
% 2.23/2.45  0 [] quasi_total($f10(A,B),A,B).
% 2.23/2.45  0 [] empty($c5).
% 2.23/2.45  0 [] relation($c6).
% 2.23/2.45  0 [] empty($c6).
% 2.23/2.45  0 [] function($c6).
% 2.23/2.45  0 [] -empty($c7).
% 2.23/2.45  0 [] empty(A)|element($f11(A),powerset(A)).
% 2.23/2.45  0 [] empty(A)| -empty($f11(A)).
% 2.23/2.45  0 [] empty(A)|finite($f11(A)).
% 2.23/2.45  0 [] relation($c8).
% 2.23/2.45  0 [] function($c8).
% 2.23/2.45  0 [] one_to_one($c8).
% 2.23/2.45  0 [] one_sorted_str($c9).
% 2.23/2.45  0 [] -empty_carrier($c9).
% 2.23/2.45  0 [] empty(A)|element($f12(A),powerset(A)).
% 2.23/2.45  0 [] empty(A)| -empty($f12(A)).
% 2.23/2.45  0 [] empty(A)|finite($f12(A)).
% 2.23/2.45  0 [] -one_sorted_str(A)|net_str($f13(A),A).
% 2.23/2.45  0 [] -one_sorted_str(A)|strict_net_str($f13(A),A).
% 2.23/2.45  0 [] empty_carrier(A)| -one_sorted_str(A)|element($f14(A),powerset(the_carrier(A))).
% 2.23/2.45  0 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f14(A)).
% 2.23/2.45  0 [] -relation(A)|relation_restriction_as_relation_of(A,B)=relation_restriction(A,B).
% 2.23/2.45  0 [] -function(C)| -relation_of2(C,A,B)|partfun_dom_restriction(A,B,C,D)=relation_dom_restriction(C,D).
% 2.23/2.45  0 [] -relation_of2_as_subset(C,A,B)|relation_of2(C,A,B).
% 2.23/2.45  0 [] relation_of2_as_subset(C,A,B)| -relation_of2(C,A,B).
% 2.23/2.45  0 [] subset(A,A).
% 2.23/2.45  0 [] -empty_carrier($c12).
% 2.23/2.45  0 [] one_sorted_str($c12).
% 2.23/2.45  0 [] -empty_carrier($c11).
% 2.23/2.45  0 [] net_str($c11,$c12).
% 2.23/2.45  0 [] element($c10,the_carrier($c11)).
% 2.23/2.45  0 [] the_carrier(netstr_restr_to_element($c12,$c11,$c10))!=a_3_0_waybel_9($c12,$c11,$c10).
% 2.23/2.45  0 [] -in(A,B)|element(A,B).
% 2.23/2.45  0 [] -element(A,B)|empty(B)|in(A,B).
% 2.23/2.45  0 [] in($f15(A,B),A)|in($f15(A,B),B)|A=B.
% 2.23/2.45  0 [] -in($f15(A,B),A)| -in($f15(A,B),B)|A=B.
% 2.23/2.45  0 [] -element(A,powerset(B))|subset(A,B).
% 2.23/2.45  0 [] element(A,powerset(B))| -subset(A,B).
% 2.23/2.45  0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.23/2.45  0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.23/2.45  0 [] -empty(A)|A=empty_set.
% 2.23/2.45  0 [] -in(A,B)| -empty(B).
% 2.23/2.45  0 [] -empty(A)|A=B| -empty(B).
% 2.23/2.45  end_of_list.
% 2.23/2.45  
% 2.23/2.45  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=14.
% 2.23/2.45  
% 2.23/2.45  This ia a non-Horn set with equality.  The strategy will be
% 2.23/2.45  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.23/2.45  deletion, with positive clauses in sos and nonpositive
% 2.23/2.45  clauses in usable.
% 2.23/2.45  
% 2.23/2.45     dependent: set(knuth_bendix).
% 2.23/2.45     dependent: set(anl_eq).
% 2.23/2.45     dependent: set(para_from).
% 2.23/2.45     dependent: set(para_into).
% 2.23/2.45     dependent: clear(para_from_right).
% 2.23/2.45     dependent: clear(para_into_right).
% 2.23/2.45     dependent: set(para_from_vars).
% 2.23/2.45     dependent: set(eq_units_both_ways).
% 2.23/2.45     dependent: set(dynamic_demod_all).
% 2.23/2.45     dependent: set(dynamic_demod).
% 2.23/2.45     dependent: set(order_eq).
% 2.23/2.45     dependent: set(back_demod).
% 2.23/2.45     dependent: set(lrpo).
% 2.23/2.45     dependent: set(hyper_res).
% 2.23/2.45     dependent: set(unit_deletion).
% 2.23/2.45     dependent: set(factor).
% 2.23/2.45  
% 2.23/2.45  ------------> process usable:
% 2.23/2.45  ** KEPT (pick-wt=19): 2 [copy,1,flip.4] -one_sorted_str(A)| -net_str(B,A)| -strict_net_str(B,A)|net_str_of(A,the_carrier(B),the_InternalRel(B),the_mapping(A,B))=B.
% 2.23/2.45  ** KEPT (pick-wt=6): 3 [] -in(A,B)| -in(B,A).
% 2.23/2.45  ** KEPT (pick-wt=4): 4 [] -empty(A)|finite(A).
% 2.23/2.45  ** KEPT (pick-wt=4): 5 [] -preboolean(A)|cup_closed(A).
% 2.23/2.45  ** KEPT (pick-wt=4): 6 [] -preboolean(A)|diff_closed(A).
% 2.23/2.45  ** KEPT (pick-wt=4): 7 [] -empty(A)|function(A).
% 2.23/2.45  ** KEPT (pick-wt=14): 8 [] -relation_of2(A,B,C)| -function(A)| -v1_partfun1(A,B,C)|quasi_total(A,B,C).
% 2.23/2.45  ** KEPT (pick-wt=8): 9 [] -element(A,powerset(cartesian_product2(B,C)))|relation(A).
% 2.23/2.45  ** KEPT (pick-wt=8): 10 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 2.23/2.45  ** KEPT (pick-wt=6): 11 [] -cup_closed(A)| -diff_closed(A)|preboolean(A).
% 2.23/2.45  ** KEPT (pick-wt=8): 12 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 2.23/2.45  ** KEPT (pick-wt=16): 13 [] empty(A)| -relation_of2(B,C,A)| -function(B)| -quasi_total(B,C,A)|v1_partfun1(B,C,A).
% 2.23/2.45  ** KEPT (pick-wt=16): 14 [] empty(A)|empty(B)| -relation_of2(C,A,B)| -function(C)| -quasi_total(C,A,B)| -empty(C).
% 2.23/2.45    Following clause subsumed by 13 during input processing: 0 [] empty(A)|empty(B)| -relation_of2(C,A,B)| -function(C)| -quasi_total(C,A,B)|v1_partfun1(C,A,B).
% 2.23/2.45  ** KEPT (pick-wt=6): 15 [] A!=B|subset(A,B).
% 2.23/2.45  ** KEPT (pick-wt=6): 16 [] A!=B|subset(B,A).
% 2.23/2.45  ** KEPT (pick-wt=9): 17 [] A=B| -subset(A,B)| -subset(B,A).
% 2.23/2.45  ** KEPT (pick-wt=9): 18 [] -subset(A,B)| -in(C,A)|in(C,B).
% 2.23/2.45  ** KEPT (pick-wt=8): 19 [] subset(A,B)| -in($f1(A,B),B).
% 2.23/2.45  ** KEPT (pick-wt=38): 20 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D!=netstr_restr_to_element(A,B,C)| -in(E,the_carrier(D))|element($f2(A,B,C,D,E),the_carrier(B)).
% 2.23/2.45  ** KEPT (pick-wt=37): 21 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D!=netstr_restr_to_element(A,B,C)| -in(E,the_carrier(D))|$f2(A,B,C,D,E)=E.
% 2.23/2.45  ** KEPT (pick-wt=38): 22 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D!=netstr_restr_to_element(A,B,C)| -in(E,the_carrier(D))|related(B,C,$f2(A,B,C,D,E)).
% 2.23/2.45  ** KEPT (pick-wt=40): 23 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D!=netstr_restr_to_element(A,B,C)|in(E,the_carrier(D))| -element(F,the_carrier(B))|F!=E| -related(B,C,F).
% 2.23/2.45  ** KEPT (pick-wt=33): 25 [copy,24,flip.9] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D!=netstr_restr_to_element(A,B,C)|relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(D))=the_InternalRel(D).
% 2.23/2.45  ** KEPT (pick-wt=39): 26 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D!=netstr_restr_to_element(A,B,C)|the_mapping(A,D)=partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(D)).
% 2.23/2.45  ** KEPT (pick-wt=63): 28 [copy,27,flip.11] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D=netstr_restr_to_element(A,B,C)|in($f4(A,B,C,D),the_carrier(D))|element($f3(A,B,C,D),the_carrier(B))|relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(D))!=the_InternalRel(D)|the_mapping(A,D)!=partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(D)).
% 2.23/2.45  ** KEPT (pick-wt=66): 30 [copy,29,flip.10,flip.11] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D=netstr_restr_to_element(A,B,C)|in($f4(A,B,C,D),the_carrier(D))|$f4(A,B,C,D)=$f3(A,B,C,D)|relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(D))!=the_InternalRel(D)|the_mapping(A,D)!=partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(D)).
% 2.23/2.45  ** KEPT (pick-wt=63): 32 [copy,31,flip.11] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D=netstr_restr_to_element(A,B,C)|in($f4(A,B,C,D),the_carrier(D))|related(B,C,$f3(A,B,C,D))|relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(D))!=the_InternalRel(D)|the_mapping(A,D)!=partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(D)).
% 2.23/2.45  ** KEPT (pick-wt=70): 34 [copy,33,flip.13] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D=netstr_restr_to_element(A,B,C)| -in($f4(A,B,C,D),the_carrier(D))| -element(E,the_carrier(B))|E!=$f4(A,B,C,D)| -related(B,C,E)|relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(D))!=the_InternalRel(D)|the_mapping(A,D)!=partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(D)).
% 2.23/2.45  ** KEPT (pick-wt=25): 35 [] -one_sorted_str(A)| -relation_of2(B,C,C)| -function(D)| -quasi_total(D,C,the_carrier(A))| -relation_of2(D,C,the_carrier(A))|strict_net_str(net_str_of(A,C,B,D),A).
% 2.23/2.45  ** KEPT (pick-wt=25): 36 [] -one_sorted_str(A)| -relation_of2(B,C,C)| -function(D)| -quasi_total(D,C,the_carrier(A))| -relation_of2(D,C,the_carrier(A))|net_str(net_str_of(A,C,B,D),A).
% 2.23/2.45  ** KEPT (pick-wt=8): 37 [] -relation(A)|relation_of2_as_subset(relation_restriction_as_relation_of(A,B),B,B).
% 2.23/2.45  ** KEPT (pick-wt=12): 38 [] -function(A)| -relation_of2(A,B,C)|function(partfun_dom_restriction(B,C,A,D)).
% 2.23/2.45  ** KEPT (pick-wt=14): 39 [] -function(A)| -relation_of2(A,B,C)|relation_of2_as_subset(partfun_dom_restriction(B,C,A,D),B,C).
% 2.23/2.45  ** KEPT (pick-wt=6): 40 [] -relation(A)|relation(relation_restriction(A,B)).
% 2.23/2.45  ** KEPT (pick-wt=19): 41 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))|strict_net_str(netstr_restr_to_element(A,B,C),A).
% 2.23/2.45  ** KEPT (pick-wt=19): 42 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))|net_str(netstr_restr_to_element(A,B,C),A).
% 2.23/2.45  ** KEPT (pick-wt=6): 43 [] -relation(A)|relation(relation_dom_restriction(A,B)).
% 2.23/2.45  ** KEPT (pick-wt=4): 44 [] -rel_str(A)|one_sorted_str(A).
% 2.23/2.45  ** KEPT (pick-wt=7): 45 [] -one_sorted_str(A)| -net_str(B,A)|rel_str(B).
% 2.23/2.45  ** KEPT (pick-wt=10): 46 [] -relation_of2_as_subset(A,B,C)|element(A,powerset(cartesian_product2(B,C))).
% 2.23/2.45  ** KEPT (pick-wt=9): 47 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 2.23/2.45  ** KEPT (pick-wt=9): 48 [] -one_sorted_str(A)| -net_str(B,A)|function(the_mapping(A,B)).
% 2.23/2.45  ** KEPT (pick-wt=13): 49 [] -one_sorted_str(A)| -net_str(B,A)|quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 2.23/2.47  ** KEPT (pick-wt=13): 50 [] -one_sorted_str(A)| -net_str(B,A)|relation_of2_as_subset(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 2.23/2.47  ** KEPT (pick-wt=6): 51 [] -one_sorted_str(A)|net_str($f5(A),A).
% 2.23/2.47  ** KEPT (pick-wt=8): 52 [] -finite(A)| -finite(B)|finite(cartesian_product2(A,B)).
% 2.23/2.47  ** KEPT (pick-wt=13): 53 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -empty(the_mapping(A,B)).
% 2.23/2.47  ** KEPT (pick-wt=13): 54 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|relation(the_mapping(A,B)).
% 2.23/2.47    Following clause subsumed by 48 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|function(the_mapping(A,B)).
% 2.23/2.47    Following clause subsumed by 49 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 2.23/2.47  ** KEPT (pick-wt=3): 55 [] -empty(powerset(A)).
% 2.23/2.47  ** KEPT (pick-wt=7): 56 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 2.23/2.47    Following clause subsumed by 43 during input processing: 0 [] -relation(A)| -function(A)|relation(relation_dom_restriction(A,B)).
% 2.23/2.47  ** KEPT (pick-wt=8): 57 [] -relation(A)| -function(A)|function(relation_dom_restriction(A,B)).
% 2.23/2.47  ** KEPT (pick-wt=26): 58 [] -one_sorted_str(A)|empty(B)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))| -empty_carrier(net_str_of(A,B,C,D)).
% 2.23/2.47    Following clause subsumed by 35 during input processing: 0 [] -one_sorted_str(A)|empty(B)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|strict_net_str(net_str_of(A,B,C,D),A).
% 2.23/2.47  ** KEPT (pick-wt=27): 59 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -in(D,a_3_0_waybel_9(A,B,C))|element($f9(D,A,B,C),the_carrier(B)).
% 2.23/2.47  ** KEPT (pick-wt=26): 61 [copy,60,flip.7] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -in(D,a_3_0_waybel_9(A,B,C))|$f9(D,A,B,C)=D.
% 2.23/2.47  ** KEPT (pick-wt=27): 62 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -in(D,a_3_0_waybel_9(A,B,C))|related(B,C,$f9(D,A,B,C)).
% 2.23/2.47  ** KEPT (pick-wt=30): 63 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))|in(D,a_3_0_waybel_9(A,B,C))| -element(E,the_carrier(B))|D!=E| -related(B,C,E).
% 2.23/2.47  ** KEPT (pick-wt=32): 64 [] -one_sorted_str(A)| -relation_of2(B,C,C)| -function(D)| -quasi_total(D,C,the_carrier(A))| -relation_of2(D,C,the_carrier(A))|net_str_of(A,C,B,D)!=net_str_of(E,F,G,H)|A=E.
% 2.23/2.47  ** KEPT (pick-wt=32): 65 [] -one_sorted_str(A)| -relation_of2(B,C,C)| -function(D)| -quasi_total(D,C,the_carrier(A))| -relation_of2(D,C,the_carrier(A))|net_str_of(A,C,B,D)!=net_str_of(E,F,G,H)|C=F.
% 2.23/2.47  ** KEPT (pick-wt=32): 66 [] -one_sorted_str(A)| -relation_of2(B,C,C)| -function(D)| -quasi_total(D,C,the_carrier(A))| -relation_of2(D,C,the_carrier(A))|net_str_of(A,C,B,D)!=net_str_of(E,F,G,H)|B=G.
% 2.23/2.47  ** KEPT (pick-wt=32): 67 [] -one_sorted_str(A)| -relation_of2(B,C,C)| -function(D)| -quasi_total(D,C,the_carrier(A))| -relation_of2(D,C,the_carrier(A))|net_str_of(A,C,B,D)!=net_str_of(E,F,G,H)|D=H.
% 2.23/2.47  ** KEPT (pick-wt=2): 68 [] -empty($c3).
% 2.23/2.47  ** KEPT (pick-wt=2): 69 [] -empty($c7).
% 2.23/2.47  ** KEPT (pick-wt=5): 70 [] empty(A)| -empty($f11(A)).
% 2.23/2.47  ** KEPT (pick-wt=2): 71 [] -empty_carrier($c9).
% 2.23/2.47  ** KEPT (pick-wt=5): 72 [] empty(A)| -empty($f12(A)).
% 2.23/2.47  ** KEPT (pick-wt=6): 73 [] -one_sorted_str(A)|net_str($f13(A),A).
% 2.23/2.47  ** KEPT (pick-wt=6): 74 [] -one_sorted_str(A)|strict_net_str($f13(A),A).
% 2.23/2.47  ** KEPT (pick-wt=10): 75 [] empty_carrier(A)| -one_sorted_str(A)|element($f14(A),powerset(the_carrier(A))).
% 2.23/2.47  ** KEPT (pick-wt=7): 76 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f14(A)).
% 2.23/2.47  ** KEPT (pick-wt=9): 77 [] -relation(A)|relation_restriction_as_relation_of(A,B)=relation_restriction(A,B).
% 2.23/2.47  ** KEPT (pick-wt=15): 78 [] -function(A)| -relation_of2(A,B,C)|partfun_dom_restriction(B,C,A,D)=relation_dom_restriction(A,D).
% 8.47/8.72  ** KEPT (pick-wt=8): 79 [] -relation_of2_as_subset(A,B,C)|relation_of2(A,B,C).
% 8.47/8.72  ** KEPT (pick-wt=8): 80 [] relation_of2_as_subset(A,B,C)| -relation_of2(A,B,C).
% 8.47/8.72  ** KEPT (pick-wt=2): 81 [] -empty_carrier($c12).
% 8.47/8.72  ** KEPT (pick-wt=2): 82 [] -empty_carrier($c11).
% 8.47/8.72  ** KEPT (pick-wt=10): 83 [] the_carrier(netstr_restr_to_element($c12,$c11,$c10))!=a_3_0_waybel_9($c12,$c11,$c10).
% 8.47/8.72  ** KEPT (pick-wt=6): 84 [] -in(A,B)|element(A,B).
% 8.47/8.72  ** KEPT (pick-wt=8): 85 [] -element(A,B)|empty(B)|in(A,B).
% 8.47/8.72  ** KEPT (pick-wt=13): 86 [] -in($f15(A,B),A)| -in($f15(A,B),B)|A=B.
% 8.47/8.72  ** KEPT (pick-wt=7): 87 [] -element(A,powerset(B))|subset(A,B).
% 8.47/8.72  ** KEPT (pick-wt=7): 88 [] element(A,powerset(B))| -subset(A,B).
% 8.47/8.72  ** KEPT (pick-wt=10): 89 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 8.47/8.72  ** KEPT (pick-wt=9): 90 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 8.47/8.72  ** KEPT (pick-wt=5): 91 [] -empty(A)|A=empty_set.
% 8.47/8.72  ** KEPT (pick-wt=5): 92 [] -in(A,B)| -empty(B).
% 8.47/8.72  ** KEPT (pick-wt=7): 93 [] -empty(A)|A=B| -empty(B).
% 8.47/8.72  
% 8.47/8.72  ------------> process sos:
% 8.47/8.72  ** KEPT (pick-wt=3): 165 [] A=A.
% 8.47/8.72  ** KEPT (pick-wt=8): 166 [] subset(A,B)|in($f1(A,B),A).
% 8.47/8.72  ** KEPT (pick-wt=2): 167 [] rel_str($c1).
% 8.47/8.72  ** KEPT (pick-wt=2): 168 [] one_sorted_str($c2).
% 8.47/8.72  ** KEPT (pick-wt=6): 169 [] relation_of2($f6(A,B),A,B).
% 8.47/8.72  ** KEPT (pick-wt=4): 170 [] element($f7(A),A).
% 8.47/8.72  ** KEPT (pick-wt=6): 171 [] relation_of2_as_subset($f8(A,B),A,B).
% 8.47/8.72  ** KEPT (pick-wt=3): 172 [] cup_closed(powerset(A)).
% 8.47/8.72  ** KEPT (pick-wt=3): 173 [] diff_closed(powerset(A)).
% 8.47/8.72  ** KEPT (pick-wt=3): 174 [] preboolean(powerset(A)).
% 8.47/8.72  ** KEPT (pick-wt=2): 175 [] empty(empty_set).
% 8.47/8.72  ** KEPT (pick-wt=2): 176 [] finite($c3).
% 8.47/8.72  ** KEPT (pick-wt=2): 177 [] relation($c4).
% 8.47/8.72  ** KEPT (pick-wt=2): 178 [] function($c4).
% 8.47/8.72  ** KEPT (pick-wt=6): 179 [] relation_of2($f10(A,B),A,B).
% 8.47/8.72  ** KEPT (pick-wt=4): 180 [] relation($f10(A,B)).
% 8.47/8.72  ** KEPT (pick-wt=4): 181 [] function($f10(A,B)).
% 8.47/8.72  ** KEPT (pick-wt=6): 182 [] quasi_total($f10(A,B),A,B).
% 8.47/8.72  ** KEPT (pick-wt=2): 183 [] empty($c5).
% 8.47/8.72  ** KEPT (pick-wt=2): 184 [] relation($c6).
% 8.47/8.72  ** KEPT (pick-wt=2): 185 [] empty($c6).
% 8.47/8.72  ** KEPT (pick-wt=2): 186 [] function($c6).
% 8.56/8.72  ** KEPT (pick-wt=7): 187 [] empty(A)|element($f11(A),powerset(A)).
% 8.56/8.72  ** KEPT (pick-wt=5): 188 [] empty(A)|finite($f11(A)).
% 8.56/8.72  ** KEPT (pick-wt=2): 189 [] relation($c8).
% 8.56/8.72  ** KEPT (pick-wt=2): 190 [] function($c8).
% 8.56/8.72  ** KEPT (pick-wt=2): 191 [] one_to_one($c8).
% 8.56/8.72  ** KEPT (pick-wt=2): 192 [] one_sorted_str($c9).
% 8.56/8.72  ** KEPT (pick-wt=7): 193 [] empty(A)|element($f12(A),powerset(A)).
% 8.56/8.72  ** KEPT (pick-wt=5): 194 [] empty(A)|finite($f12(A)).
% 8.56/8.72  ** KEPT (pick-wt=3): 195 [] subset(A,A).
% 8.56/8.72  ** KEPT (pick-wt=2): 196 [] one_sorted_str($c12).
% 8.56/8.72  ** KEPT (pick-wt=3): 197 [] net_str($c11,$c12).
% 8.56/8.72  ** KEPT (pick-wt=4): 198 [] element($c10,the_carrier($c11)).
% 8.56/8.72  ** KEPT (pick-wt=13): 199 [] in($f15(A,B),A)|in($f15(A,B),B)|A=B.
% 8.56/8.72    Following clause subsumed by 165 during input processing: 0 [copy,165,flip.1] A=A.
% 8.56/8.72  165 back subsumes 138.
% 8.56/8.72  165 back subsumes 137.
% 8.56/8.72  165 back subsumes 96.
% 8.56/8.72  
% 8.56/8.72  ======= end of input processing =======
% 8.56/8.72  
% 8.56/8.72  =========== start of search ===========
% 8.56/8.72  
% 8.56/8.72  
% 8.56/8.72  Resetting weight limit to 2.
% 8.56/8.72  
% 8.56/8.72  
% 8.56/8.72  Resetting weight limit to 2.
% 8.56/8.72  
% 8.56/8.72  sos_size=224
% 8.56/8.72  
% 8.56/8.72  Search stopped because sos empty.
% 8.56/8.72  
% 8.56/8.72  
% 8.56/8.72  Search stopped because sos empty.
% 8.56/8.72  
% 8.56/8.72  ============ end of search ============
% 8.56/8.72  
% 8.56/8.72  -------------- statistics -------------
% 8.56/8.72  clauses given                239
% 8.56/8.72  clauses generated          90416
% 8.56/8.72  clauses kept                 397
% 8.56/8.72  clauses forward subsumed     238
% 8.56/8.72  clauses back subsumed          4
% 8.56/8.72  Kbytes malloced             5859
% 8.56/8.72  
% 8.56/8.72  ----------- times (seconds) -----------
% 8.56/8.72  user CPU time          6.28          (0 hr, 0 min, 6 sec)
% 8.56/8.72  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 8.56/8.72  wall-clock time        8             (0 hr, 0 min, 8 sec)
% 8.56/8.72  
% 8.56/8.72  Process 14151 finished Wed Jul 27 07:46:50 2022
% 8.56/8.72  Otter interrupted
% 8.56/8.72  PROOF NOT FOUND
%------------------------------------------------------------------------------