TSTP Solution File: SEU385+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU385+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n011.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 7.89s 8.05s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.11 % Problem : SEU385+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n011.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 07:43:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.38/2.51 ----- Otter 3.3f, August 2004 -----
% 2.38/2.51 The process was started by sandbox on n011.cluster.edu,
% 2.38/2.51 Wed Jul 27 07:43:25 2022
% 2.38/2.51 The command was "./otter". The process ID is 18481.
% 2.38/2.51
% 2.38/2.51 set(prolog_style_variables).
% 2.38/2.51 set(auto).
% 2.38/2.51 dependent: set(auto1).
% 2.38/2.51 dependent: set(process_input).
% 2.38/2.51 dependent: clear(print_kept).
% 2.38/2.51 dependent: clear(print_new_demod).
% 2.38/2.51 dependent: clear(print_back_demod).
% 2.38/2.51 dependent: clear(print_back_sub).
% 2.38/2.51 dependent: set(control_memory).
% 2.38/2.51 dependent: assign(max_mem, 12000).
% 2.38/2.51 dependent: assign(pick_given_ratio, 4).
% 2.38/2.51 dependent: assign(stats_level, 1).
% 2.38/2.51 dependent: assign(max_seconds, 10800).
% 2.38/2.51 clear(print_given).
% 2.38/2.51
% 2.38/2.51 formula_list(usable).
% 2.38/2.51 all A (A=A).
% 2.38/2.51 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)))).
% 2.38/2.51 all A B (in(A,B)-> -in(B,A)).
% 2.38/2.51 all A (empty(A)->finite(A)).
% 2.38/2.51 all A (preboolean(A)->cup_closed(A)&diff_closed(A)).
% 2.38/2.51 all A (empty(A)->function(A)).
% 2.38/2.51 all A B C (relation_of2(C,A,B)-> (function(C)&v1_partfun1(C,A,B)->function(C)&quasi_total(C,A,B))).
% 2.38/2.51 all A B C (element(C,powerset(cartesian_product2(A,B)))->relation(C)).
% 2.38/2.51 all A (finite(A)-> (all B (element(B,powerset(A))->finite(B)))).
% 2.38/2.51 all A (cup_closed(A)&diff_closed(A)->preboolean(A)).
% 2.38/2.51 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 2.38/2.51 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))))).
% 2.38/2.51 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))))).
% 2.38/2.51 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)))))))))).
% 2.38/2.51 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))->apply_netmap(A,B,C)=apply_on_structs(B,A,the_mapping(A,B),C)))))).
% 2.38/2.51 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)).
% 2.38/2.51 $T.
% 2.38/2.51 all A B (relation(A)->relation_of2_as_subset(relation_restriction_as_relation_of(A,B),B,B)).
% 2.38/2.51 all A B C D (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&one_sorted_str(B)&function(C)&quasi_total(C,the_carrier(A),the_carrier(B))&relation_of2(C,the_carrier(A),the_carrier(B))&element(D,the_carrier(A))->element(apply_on_structs(A,B,C,D),the_carrier(B))).
% 2.38/2.51 $T.
% 2.38/2.51 $T.
% 2.38/2.51 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)).
% 2.38/2.51 all A B (relation(A)->relation(relation_restriction(A,B))).
% 2.38/2.51 $T.
% 2.38/2.51 all A B C (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&net_str(B,A)&element(C,the_carrier(B))->element(apply_netmap(A,B,C),the_carrier(A))).
% 2.38/2.51 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)).
% 2.38/2.51 all A B (relation(A)->relation(relation_dom_restriction(A,B))).
% 2.38/2.51 all A B C D (-empty(A)& -empty_carrier(B)&one_sorted_str(B)&function(C)&quasi_total(C,A,the_carrier(B))&relation_of2(C,A,the_carrier(B))&element(D,A)->element(apply_on_set_and_struct2(A,B,C,D),the_carrier(B))).
% 2.38/2.51 all A (rel_str(A)->one_sorted_str(A)).
% 2.38/2.51 $T.
% 2.38/2.51 all A (one_sorted_str(A)-> (all B (net_str(B,A)->rel_str(B)))).
% 2.38/2.51 $T.
% 2.38/2.51 $T.
% 2.38/2.51 all A B C (relation_of2_as_subset(C,A,B)->element(C,powerset(cartesian_product2(A,B)))).
% 2.38/2.51 all A (rel_str(A)->relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A))).
% 2.38/2.51 $T.
% 2.38/2.51 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))).
% 2.38/2.51 exists A rel_str(A).
% 2.38/2.51 exists A one_sorted_str(A).
% 2.38/2.51 all A (one_sorted_str(A)-> (exists B net_str(B,A))).
% 2.38/2.51 all A B exists C relation_of2(C,A,B).
% 2.38/2.51 all A exists B element(B,A).
% 2.38/2.51 all A B exists C relation_of2_as_subset(C,A,B).
% 2.38/2.51 all A B (finite(A)&finite(B)->finite(cartesian_product2(A,B))).
% 2.38/2.51 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))).
% 2.38/2.51 all A (-empty(powerset(A))&cup_closed(powerset(A))&diff_closed(powerset(A))&preboolean(powerset(A))).
% 2.38/2.51 all A (-empty_carrier(A)&one_sorted_str(A)-> -empty(the_carrier(A))).
% 2.38/2.51 empty(empty_set).
% 2.38/2.51 all A B C (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&directed_relstr(B)&net_str(B,A)&element(C,the_carrier(B))-> -empty_carrier(netstr_restr_to_element(A,B,C))&strict_net_str(netstr_restr_to_element(A,B,C),A)).
% 2.38/2.51 all A B (relation(A)&function(A)->relation(relation_dom_restriction(A,B))&function(relation_dom_restriction(A,B))).
% 2.38/2.51 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)).
% 2.38/2.51 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))).
% 2.38/2.51 exists A (-empty(A)&finite(A)).
% 2.38/2.51 exists A (relation(A)&function(A)).
% 2.38/2.51 all A B exists C (relation_of2(C,A,B)&relation(C)&function(C)&quasi_total(C,A,B)).
% 2.38/2.51 exists A empty(A).
% 2.38/2.51 exists A (relation(A)&empty(A)&function(A)).
% 2.38/2.51 exists A (-empty(A)).
% 2.38/2.51 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 2.38/2.51 exists A (relation(A)&function(A)&one_to_one(A)).
% 2.38/2.51 exists A (one_sorted_str(A)& -empty_carrier(A)).
% 2.38/2.51 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 2.38/2.51 all A (one_sorted_str(A)-> (exists B (net_str(B,A)&strict_net_str(B,A)))).
% 2.38/2.51 all A (-empty_carrier(A)&one_sorted_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)))).
% 2.38/2.51 all A B (relation(A)->relation_restriction_as_relation_of(A,B)=relation_restriction(A,B)).
% 2.38/2.51 all A B C D (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&one_sorted_str(B)&function(C)&quasi_total(C,the_carrier(A),the_carrier(B))&relation_of2(C,the_carrier(A),the_carrier(B))&element(D,the_carrier(A))->apply_on_structs(A,B,C,D)=apply(C,D)).
% 2.38/2.51 all A B C D (function(C)&relation_of2(C,A,B)->partfun_dom_restriction(A,B,C,D)=relation_dom_restriction(C,D)).
% 2.38/2.51 all A B C D (-empty(A)& -empty_carrier(B)&one_sorted_str(B)&function(C)&quasi_total(C,A,the_carrier(B))&relation_of2(C,A,the_carrier(B))&element(D,A)->apply_on_set_and_struct2(A,B,C,D)=apply(C,D)).
% 2.38/2.51 all A B C (relation_of2_as_subset(C,A,B)<->relation_of2(C,A,B)).
% 2.38/2.51 all A B subset(A,A).
% 2.38/2.51 -(all A (-empty_carrier(A)&one_sorted_str(A)-> (all B (-empty_carrier(B)&directed_relstr(B)&net_str(B,A)-> (all C (element(C,the_carrier(B))-> (all D (element(D,the_carrier(B))-> (all E (element(E,the_carrier(netstr_restr_to_element(A,B,C)))-> (D=E->apply_netmap(A,B,D)=apply_netmap(A,netstr_restr_to_element(A,B,C),E)))))))))))).
% 2.38/2.51 all A B (in(A,B)->element(A,B)).
% 2.38/2.51 all A B (element(A,B)->empty(B)|in(A,B)).
% 2.38/2.51 all A B (element(A,powerset(B))<->subset(A,B)).
% 2.38/2.51 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 2.38/2.51 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 2.38/2.51 all A (empty(A)->A=empty_set).
% 2.38/2.51 all A B C (relation(C)&function(C)-> (in(B,A)->apply(relation_dom_restriction(C,A),B)=apply(C,B))).
% 2.38/2.51 all A B (-(in(A,B)&empty(B))).
% 2.38/2.51 all A B (-(empty(A)&A!=B&empty(B))).
% 2.38/2.51 end_of_list.
% 2.38/2.51
% 2.38/2.51 -------> usable clausifies to:
% 2.38/2.51
% 2.38/2.51 list(usable).
% 2.38/2.51 0 [] A=A.
% 2.38/2.51 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)).
% 2.38/2.51 0 [] -in(A,B)| -in(B,A).
% 2.38/2.51 0 [] -empty(A)|finite(A).
% 2.38/2.51 0 [] -preboolean(A)|cup_closed(A).
% 2.38/2.51 0 [] -preboolean(A)|diff_closed(A).
% 2.38/2.51 0 [] -empty(A)|function(A).
% 2.38/2.51 0 [] -relation_of2(C,A,B)| -function(C)| -v1_partfun1(C,A,B)|quasi_total(C,A,B).
% 2.38/2.51 0 [] -element(C,powerset(cartesian_product2(A,B)))|relation(C).
% 2.38/2.51 0 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 2.38/2.51 0 [] -cup_closed(A)| -diff_closed(A)|preboolean(A).
% 2.38/2.51 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 2.38/2.51 0 [] empty(B)| -relation_of2(C,A,B)| -function(C)| -quasi_total(C,A,B)|v1_partfun1(C,A,B).
% 2.38/2.51 0 [] empty(A)|empty(B)| -relation_of2(C,A,B)| -function(C)| -quasi_total(C,A,B)| -empty(C).
% 2.38/2.51 0 [] empty(A)|empty(B)| -relation_of2(C,A,B)| -function(C)| -quasi_total(C,A,B)|v1_partfun1(C,A,B).
% 2.38/2.51 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($f1(A,B,C,D,E),the_carrier(B)).
% 2.38/2.51 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))|$f1(A,B,C,D,E)=E.
% 2.38/2.51 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D!=netstr_restr_to_element(A,B,C)| -in(E,the_carrier(D))|related(B,C,$f1(A,B,C,D,E)).
% 2.38/2.51 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).
% 2.38/2.51 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)).
% 2.38/2.51 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)).
% 2.38/2.51 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($f3(A,B,C,D),the_carrier(D))|element($f2(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)).
% 2.38/2.51 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($f3(A,B,C,D),the_carrier(D))|$f2(A,B,C,D)=$f3(A,B,C,D)|the_InternalRel(D)!=relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(D))|the_mapping(A,D)!=partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(D)).
% 2.38/2.51 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D=netstr_restr_to_element(A,B,C)|in($f3(A,B,C,D),the_carrier(D))|related(B,C,$f2(A,B,C,D))|the_InternalRel(D)!=relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(D))|the_mapping(A,D)!=partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(D)).
% 2.38/2.51 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D=netstr_restr_to_element(A,B,C)| -in($f3(A,B,C,D),the_carrier(D))| -element(X1,the_carrier(B))|X1!=$f3(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)).
% 2.38/2.51 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))|apply_netmap(A,B,C)=apply_on_structs(B,A,the_mapping(A,B),C).
% 2.38/2.51 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).
% 2.38/2.51 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).
% 2.38/2.51 0 [] $T.
% 2.38/2.51 0 [] -relation(A)|relation_of2_as_subset(relation_restriction_as_relation_of(A,B),B,B).
% 2.38/2.51 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -one_sorted_str(B)| -function(C)| -quasi_total(C,the_carrier(A),the_carrier(B))| -relation_of2(C,the_carrier(A),the_carrier(B))| -element(D,the_carrier(A))|element(apply_on_structs(A,B,C,D),the_carrier(B)).
% 2.38/2.51 0 [] $T.
% 2.38/2.51 0 [] $T.
% 2.38/2.51 0 [] -function(C)| -relation_of2(C,A,B)|function(partfun_dom_restriction(A,B,C,D)).
% 2.38/2.51 0 [] -function(C)| -relation_of2(C,A,B)|relation_of2_as_subset(partfun_dom_restriction(A,B,C,D),A,B).
% 2.38/2.51 0 [] -relation(A)|relation(relation_restriction(A,B)).
% 2.38/2.51 0 [] $T.
% 2.38/2.51 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))|element(apply_netmap(A,B,C),the_carrier(A)).
% 2.38/2.51 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).
% 2.38/2.51 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).
% 2.38/2.51 0 [] -relation(A)|relation(relation_dom_restriction(A,B)).
% 2.38/2.51 0 [] empty(A)|empty_carrier(B)| -one_sorted_str(B)| -function(C)| -quasi_total(C,A,the_carrier(B))| -relation_of2(C,A,the_carrier(B))| -element(D,A)|element(apply_on_set_and_struct2(A,B,C,D),the_carrier(B)).
% 2.38/2.51 0 [] -rel_str(A)|one_sorted_str(A).
% 2.38/2.51 0 [] $T.
% 2.38/2.51 0 [] -one_sorted_str(A)| -net_str(B,A)|rel_str(B).
% 2.38/2.51 0 [] $T.
% 2.38/2.51 0 [] $T.
% 2.38/2.51 0 [] -relation_of2_as_subset(C,A,B)|element(C,powerset(cartesian_product2(A,B))).
% 2.38/2.51 0 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 2.38/2.51 0 [] $T.
% 2.38/2.51 0 [] -one_sorted_str(A)| -net_str(B,A)|function(the_mapping(A,B)).
% 2.38/2.51 0 [] -one_sorted_str(A)| -net_str(B,A)|quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 2.38/2.51 0 [] -one_sorted_str(A)| -net_str(B,A)|relation_of2_as_subset(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 2.38/2.51 0 [] rel_str($c1).
% 2.38/2.51 0 [] one_sorted_str($c2).
% 2.38/2.51 0 [] -one_sorted_str(A)|net_str($f4(A),A).
% 2.38/2.51 0 [] relation_of2($f5(A,B),A,B).
% 2.38/2.51 0 [] element($f6(A),A).
% 2.38/2.51 0 [] relation_of2_as_subset($f7(A,B),A,B).
% 2.38/2.51 0 [] -finite(A)| -finite(B)|finite(cartesian_product2(A,B)).
% 2.38/2.51 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -empty(the_mapping(A,B)).
% 2.38/2.51 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|relation(the_mapping(A,B)).
% 2.38/2.51 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|function(the_mapping(A,B)).
% 2.38/2.51 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)).
% 2.38/2.51 0 [] -empty(powerset(A)).
% 2.38/2.51 0 [] cup_closed(powerset(A)).
% 2.38/2.51 0 [] diff_closed(powerset(A)).
% 2.38/2.51 0 [] preboolean(powerset(A)).
% 2.38/2.51 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 2.38/2.51 0 [] empty(empty_set).
% 2.38/2.51 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))| -empty_carrier(netstr_restr_to_element(A,B,C)).
% 2.38/2.51 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|strict_net_str(netstr_restr_to_element(A,B,C),A).
% 2.38/2.51 0 [] -relation(A)| -function(A)|relation(relation_dom_restriction(A,B)).
% 2.38/2.51 0 [] -relation(A)| -function(A)|function(relation_dom_restriction(A,B)).
% 2.38/2.51 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)).
% 2.38/2.51 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).
% 2.38/2.51 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.
% 2.38/2.51 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.
% 2.38/2.51 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.
% 2.38/2.51 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.
% 2.38/2.51 0 [] -empty($c3).
% 2.38/2.51 0 [] finite($c3).
% 2.38/2.51 0 [] relation($c4).
% 2.38/2.51 0 [] function($c4).
% 2.38/2.51 0 [] relation_of2($f8(A,B),A,B).
% 2.38/2.51 0 [] relation($f8(A,B)).
% 2.38/2.51 0 [] function($f8(A,B)).
% 2.38/2.51 0 [] quasi_total($f8(A,B),A,B).
% 2.38/2.51 0 [] empty($c5).
% 2.38/2.51 0 [] relation($c6).
% 2.38/2.51 0 [] empty($c6).
% 2.38/2.51 0 [] function($c6).
% 2.38/2.51 0 [] -empty($c7).
% 2.38/2.51 0 [] empty(A)|element($f9(A),powerset(A)).
% 2.38/2.51 0 [] empty(A)| -empty($f9(A)).
% 2.38/2.51 0 [] empty(A)|finite($f9(A)).
% 2.38/2.51 0 [] relation($c8).
% 2.38/2.51 0 [] function($c8).
% 2.38/2.51 0 [] one_to_one($c8).
% 2.38/2.51 0 [] one_sorted_str($c9).
% 2.38/2.51 0 [] -empty_carrier($c9).
% 2.38/2.51 0 [] empty(A)|element($f10(A),powerset(A)).
% 2.38/2.51 0 [] empty(A)| -empty($f10(A)).
% 2.38/2.51 0 [] empty(A)|finite($f10(A)).
% 2.38/2.51 0 [] -one_sorted_str(A)|net_str($f11(A),A).
% 2.38/2.51 0 [] -one_sorted_str(A)|strict_net_str($f11(A),A).
% 2.38/2.51 0 [] empty_carrier(A)| -one_sorted_str(A)|element($f12(A),powerset(the_carrier(A))).
% 2.38/2.51 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f12(A)).
% 2.38/2.51 0 [] -relation(A)|relation_restriction_as_relation_of(A,B)=relation_restriction(A,B).
% 2.38/2.51 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -one_sorted_str(B)| -function(C)| -quasi_total(C,the_carrier(A),the_carrier(B))| -relation_of2(C,the_carrier(A),the_carrier(B))| -element(D,the_carrier(A))|apply_on_structs(A,B,C,D)=apply(C,D).
% 2.38/2.51 0 [] -function(C)| -relation_of2(C,A,B)|partfun_dom_restriction(A,B,C,D)=relation_dom_restriction(C,D).
% 2.38/2.51 0 [] empty(A)|empty_carrier(B)| -one_sorted_str(B)| -function(C)| -quasi_total(C,A,the_carrier(B))| -relation_of2(C,A,the_carrier(B))| -element(D,A)|apply_on_set_and_struct2(A,B,C,D)=apply(C,D).
% 2.38/2.51 0 [] -relation_of2_as_subset(C,A,B)|relation_of2(C,A,B).
% 2.38/2.51 0 [] relation_of2_as_subset(C,A,B)| -relation_of2(C,A,B).
% 2.38/2.51 0 [] subset(A,A).
% 2.38/2.51 0 [] -empty_carrier($c14).
% 2.38/2.51 0 [] one_sorted_str($c14).
% 2.38/2.51 0 [] -empty_carrier($c13).
% 2.38/2.51 0 [] directed_relstr($c13).
% 2.38/2.51 0 [] net_str($c13,$c14).
% 2.38/2.51 0 [] element($c12,the_carrier($c13)).
% 2.38/2.51 0 [] element($c11,the_carrier($c13)).
% 2.38/2.51 0 [] element($c10,the_carrier(netstr_restr_to_element($c14,$c13,$c12))).
% 2.38/2.51 0 [] $c11=$c10.
% 2.38/2.51 0 [] apply_netmap($c14,$c13,$c11)!=apply_netmap($c14,netstr_restr_to_element($c14,$c13,$c12),$c10).
% 2.38/2.51 0 [] -in(A,B)|element(A,B).
% 2.38/2.51 0 [] -element(A,B)|empty(B)|in(A,B).
% 2.38/2.51 0 [] -element(A,powerset(B))|subset(A,B).
% 2.38/2.51 0 [] element(A,powerset(B))| -subset(A,B).
% 2.38/2.51 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.38/2.51 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.38/2.51 0 [] -empty(A)|A=empty_set.
% 2.38/2.51 0 [] -relation(C)| -function(C)| -in(B,A)|apply(relation_dom_restriction(C,A),B)=apply(C,B).
% 2.38/2.51 0 [] -in(A,B)| -empty(B).
% 2.38/2.51 0 [] -empty(A)|A=B| -empty(B).
% 2.38/2.51 end_of_list.
% 2.38/2.51
% 2.38/2.51 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=14.
% 2.38/2.51
% 2.38/2.51 This ia a non-Horn set with equality. The strategy will be
% 2.38/2.51 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.38/2.51 deletion, with positive clauses in sos and nonpositive
% 2.38/2.51 clauses in usable.
% 2.38/2.51
% 2.38/2.51 dependent: set(knuth_bendix).
% 2.38/2.51 dependent: set(anl_eq).
% 2.38/2.51 dependent: set(para_from).
% 2.38/2.51 dependent: set(para_into).
% 2.38/2.51 dependent: clear(para_from_right).
% 2.38/2.51 dependent: clear(para_into_right).
% 2.38/2.51 dependent: set(para_from_vars).
% 2.38/2.51 dependent: set(eq_units_both_ways).
% 2.38/2.51 dependent: set(dynamic_demod_all).
% 2.38/2.51 dependent: set(dynamic_demod).
% 2.38/2.51 dependent: set(order_eq).
% 2.38/2.51 dependent: set(back_demod).
% 2.38/2.51 dependent: set(lrpo).
% 2.38/2.51 dependent: set(hyper_res).
% 2.38/2.51 dependent: set(unit_deletion).
% 2.38/2.51 dependent: set(factor).
% 2.38/2.51
% 2.38/2.51 ------------> process usable:
% 2.38/2.51 ** 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.
% 2.38/2.51 ** KEPT (pick-wt=6): 3 [] -in(A,B)| -in(B,A).
% 2.38/2.51 ** KEPT (pick-wt=4): 4 [] -empty(A)|finite(A).
% 2.38/2.51 ** KEPT (pick-wt=4): 5 [] -preboolean(A)|cup_closed(A).
% 2.38/2.51 ** KEPT (pick-wt=4): 6 [] -preboolean(A)|diff_closed(A).
% 2.38/2.51 ** KEPT (pick-wt=4): 7 [] -empty(A)|function(A).
% 2.38/2.51 ** KEPT (pick-wt=14): 8 [] -relation_of2(A,B,C)| -function(A)| -v1_partfun1(A,B,C)|quasi_total(A,B,C).
% 2.38/2.51 ** KEPT (pick-wt=8): 9 [] -element(A,powerset(cartesian_product2(B,C)))|relation(A).
% 2.38/2.51 ** KEPT (pick-wt=8): 10 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 2.38/2.51 ** KEPT (pick-wt=6): 11 [] -cup_closed(A)| -diff_closed(A)|preboolean(A).
% 2.38/2.51 ** KEPT (pick-wt=8): 12 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 2.38/2.51 ** KEPT (pick-wt=16): 13 [] empty(A)| -relation_of2(B,C,A)| -function(B)| -quasi_total(B,C,A)|v1_partfun1(B,C,A).
% 2.38/2.51 ** KEPT (pick-wt=16): 14 [] empty(A)|empty(B)| -relation_of2(C,A,B)| -function(C)| -quasi_total(C,A,B)| -empty(C).
% 2.38/2.51 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).
% 2.38/2.51 ** KEPT (pick-wt=38): 15 [] 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($f1(A,B,C,D,E),the_carrier(B)).
% 2.38/2.51 ** KEPT (pick-wt=37): 16 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D!=netstr_restr_to_element(A,B,C)| -in(E,the_carrier(D))|$f1(A,B,C,D,E)=E.
% 2.38/2.51 ** KEPT (pick-wt=38): 17 [] 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,$f1(A,B,C,D,E)).
% 2.38/2.51 ** KEPT (pick-wt=40): 18 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D!=netstr_restr_to_element(A,B,C)|in(E,the_carrier(D))| -element(F,the_carrier(B))|F!=E| -related(B,C,F).
% 2.38/2.51 ** KEPT (pick-wt=33): 20 [copy,19,flip.9] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D!=netstr_restr_to_element(A,B,C)|relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(D))=the_InternalRel(D).
% 2.38/2.51 ** KEPT (pick-wt=39): 21 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D!=netstr_restr_to_element(A,B,C)|the_mapping(A,D)=partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(D)).
% 2.38/2.51 ** KEPT (pick-wt=63): 23 [copy,22,flip.11] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D=netstr_restr_to_element(A,B,C)|in($f3(A,B,C,D),the_carrier(D))|element($f2(A,B,C,D),the_carrier(B))|relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(D))!=the_InternalRel(D)|the_mapping(A,D)!=partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(D)).
% 2.38/2.51 ** KEPT (pick-wt=66): 25 [copy,24,flip.10,flip.11] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D=netstr_restr_to_element(A,B,C)|in($f3(A,B,C,D),the_carrier(D))|$f3(A,B,C,D)=$f2(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)).
% 2.38/2.51 ** KEPT (pick-wt=63): 27 [copy,26,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($f3(A,B,C,D),the_carrier(D))|related(B,C,$f2(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)).
% 2.38/2.51 ** KEPT (pick-wt=70): 29 [copy,28,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($f3(A,B,C,D),the_carrier(D))| -element(E,the_carrier(B))|E!=$f3(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)).
% 2.38/2.51 ** KEPT (pick-wt=25): 30 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))|apply_netmap(A,B,C)=apply_on_structs(B,A,the_mapping(A,B),C).
% 2.38/2.51 ** KEPT (pick-wt=25): 31 [] -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).
% 2.38/2.51 ** KEPT (pick-wt=25): 32 [] -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).
% 2.38/2.51 ** KEPT (pick-wt=8): 33 [] -relation(A)|relation_of2_as_subset(relation_restriction_as_relation_of(A,B),B,B).
% 2.38/2.51 ** KEPT (pick-wt=34): 34 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -one_sorted_str(B)| -function(C)| -quasi_total(C,the_carrier(A),the_carrier(B))| -relation_of2(C,the_carrier(A),the_carrier(B))| -element(D,the_carrier(A))|element(apply_on_structs(A,B,C,D),the_carrier(B)).
% 2.38/2.51 ** KEPT (pick-wt=12): 35 [] -function(A)| -relation_of2(A,B,C)|function(partfun_dom_restriction(B,C,A,D)).
% 2.38/2.51 ** KEPT (pick-wt=14): 36 [] -function(A)| -relation_of2(A,B,C)|relation_of2_as_subset(partfun_dom_restriction(B,C,A,D),B,C).
% 2.38/2.51 ** KEPT (pick-wt=6): 37 [] -relation(A)|relation(relation_restriction(A,B)).
% 2.38/2.51 ** KEPT (pick-wt=20): 38 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))|element(apply_netmap(A,B,C),the_carrier(A)).
% 2.38/2.51 ** KEPT (pick-wt=19): 39 [] 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).
% 2.38/2.51 ** KEPT (pick-wt=19): 40 [] 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).
% 2.38/2.51 ** KEPT (pick-wt=6): 41 [] -relation(A)|relation(relation_dom_restriction(A,B)).
% 2.38/2.51 ** KEPT (pick-wt=29): 42 [] empty(A)|empty_carrier(B)| -one_sorted_str(B)| -function(C)| -quasi_total(C,A,the_carrier(B))| -relation_of2(C,A,the_carrier(B))| -element(D,A)|element(apply_on_set_and_struct2(A,B,C,D),the_carrier(B)).
% 2.38/2.51 ** KEPT (pick-wt=4): 43 [] -rel_str(A)|one_sorted_str(A).
% 2.38/2.51 ** KEPT (pick-wt=7): 44 [] -one_sorted_str(A)| -net_str(B,A)|rel_str(B).
% 2.38/2.51 ** KEPT (pick-wt=10): 45 [] -relation_of2_as_subset(A,B,C)|element(A,powerset(cartesian_product2(B,C))).
% 2.38/2.51 ** KEPT (pick-wt=9): 46 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 2.38/2.51 ** KEPT (pick-wt=9): 47 [] -one_sorted_str(A)| -net_str(B,A)|function(the_mapping(A,B)).
% 2.38/2.51 ** KEPT (pick-wt=13): 48 [] -one_sorted_str(A)| -net_str(B,A)|quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 2.38/2.51 ** KEPT (pick-wt=13): 49 [] -one_sorted_str(A)| -net_str(B,A)|relation_of2_as_subset(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 2.38/2.51 ** KEPT (pick-wt=6): 50 [] -one_sorted_str(A)|net_str($f4(A),A).
% 2.38/2.51 ** KEPT (pick-wt=8): 51 [] -finite(A)| -finite(B)|finite(cartesian_product2(A,B)).
% 2.38/2.51 ** KEPT (pick-wt=13): 52 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -empty(the_mapping(A,B)).
% 2.38/2.51 ** KEPT (pick-wt=13): 53 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|relation(the_mapping(A,B)).
% 2.38/2.51 Following clause subsumed by 47 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|function(the_mapping(A,B)).
% 2.38/2.51 Following clause subsumed by 48 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)).
% 2.38/2.51 ** KEPT (pick-wt=3): 54 [] -empty(powerset(A)).
% 2.38/2.51 ** KEPT (pick-wt=7): 55 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 2.38/2.51 ** KEPT (pick-wt=20): 56 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))| -empty_carrier(netstr_restr_to_element(A,B,C)).
% 2.38/2.53 Following clause subsumed by 39 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|strict_net_str(netstr_restr_to_element(A,B,C),A).
% 2.38/2.53 Following clause subsumed by 41 during input processing: 0 [] -relation(A)| -function(A)|relation(relation_dom_restriction(A,B)).
% 2.38/2.53 ** KEPT (pick-wt=8): 57 [] -relation(A)| -function(A)|function(relation_dom_restriction(A,B)).
% 2.38/2.53 ** 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)).
% 2.38/2.53 Following clause subsumed by 31 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).
% 2.38/2.53 ** KEPT (pick-wt=32): 59 [] -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.
% 2.38/2.53 ** KEPT (pick-wt=32): 60 [] -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.
% 2.38/2.53 ** KEPT (pick-wt=32): 61 [] -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.
% 2.38/2.53 ** KEPT (pick-wt=32): 62 [] -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.
% 2.38/2.53 ** KEPT (pick-wt=2): 63 [] -empty($c3).
% 2.38/2.53 ** KEPT (pick-wt=2): 64 [] -empty($c7).
% 2.38/2.53 ** KEPT (pick-wt=5): 65 [] empty(A)| -empty($f9(A)).
% 2.38/2.53 ** KEPT (pick-wt=2): 66 [] -empty_carrier($c9).
% 2.38/2.53 ** KEPT (pick-wt=5): 67 [] empty(A)| -empty($f10(A)).
% 2.38/2.53 ** KEPT (pick-wt=6): 68 [] -one_sorted_str(A)|net_str($f11(A),A).
% 2.38/2.53 ** KEPT (pick-wt=6): 69 [] -one_sorted_str(A)|strict_net_str($f11(A),A).
% 2.38/2.53 ** KEPT (pick-wt=10): 70 [] empty_carrier(A)| -one_sorted_str(A)|element($f12(A),powerset(the_carrier(A))).
% 2.38/2.53 ** KEPT (pick-wt=7): 71 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f12(A)).
% 2.38/2.53 ** KEPT (pick-wt=9): 72 [] -relation(A)|relation_restriction_as_relation_of(A,B)=relation_restriction(A,B).
% 2.38/2.53 ** KEPT (pick-wt=35): 73 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -one_sorted_str(B)| -function(C)| -quasi_total(C,the_carrier(A),the_carrier(B))| -relation_of2(C,the_carrier(A),the_carrier(B))| -element(D,the_carrier(A))|apply_on_structs(A,B,C,D)=apply(C,D).
% 2.38/2.53 ** KEPT (pick-wt=15): 74 [] -function(A)| -relation_of2(A,B,C)|partfun_dom_restriction(B,C,A,D)=relation_dom_restriction(A,D).
% 2.38/2.53 ** KEPT (pick-wt=30): 75 [] empty(A)|empty_carrier(B)| -one_sorted_str(B)| -function(C)| -quasi_total(C,A,the_carrier(B))| -relation_of2(C,A,the_carrier(B))| -element(D,A)|apply_on_set_and_struct2(A,B,C,D)=apply(C,D).
% 2.38/2.53 ** KEPT (pick-wt=8): 76 [] -relation_of2_as_subset(A,B,C)|relation_of2(A,B,C).
% 2.38/2.53 ** KEPT (pick-wt=8): 77 [] relation_of2_as_subset(A,B,C)| -relation_of2(A,B,C).
% 2.38/2.53 ** KEPT (pick-wt=2): 78 [] -empty_carrier($c14).
% 2.38/2.53 ** KEPT (pick-wt=2): 79 [] -empty_carrier($c13).
% 2.38/2.53 ** KEPT (pick-wt=12): 81 [copy,80,flip.1] apply_netmap($c14,netstr_restr_to_element($c14,$c13,$c12),$c10)!=apply_netmap($c14,$c13,$c11).
% 2.38/2.53 ** KEPT (pick-wt=6): 82 [] -in(A,B)|element(A,B).
% 2.38/2.53 ** KEPT (pick-wt=8): 83 [] -element(A,B)|empty(B)|in(A,B).
% 2.38/2.53 ** KEPT (pick-wt=7): 84 [] -element(A,powerset(B))|subset(A,B).
% 2.38/2.53 ** KEPT (pick-wt=7): 85 [] element(A,powerset(B))| -subset(A,B).
% 2.38/2.53 ** KEPT (pick-wt=10): 86 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.38/2.53 ** KEPT (pick-wt=9): 87 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.38/2.53 ** KEPT (pick-wt=5): 88 [] -empty(A)|A=empty_set.
% 2.38/2.53 ** KEPT (pick-wt=16): 89 [] -relation(A)| -function(A)| -in(B,C)|apply(relation_dom_restriction(A,C),B)=apply(A,B).
% 2.38/2.53 ** KEPT (pick-wt=5): 90 [] -in(A,B)| -empty(B).
% 2.38/2.53 ** KEPT (pick-wt=7): 91 [] -empty(A)|A=B| -empty(B).
% 7.89/8.05
% 7.89/8.05 ------------> process sos:
% 7.89/8.05 ** KEPT (pick-wt=3): 160 [] A=A.
% 7.89/8.05 ** KEPT (pick-wt=2): 161 [] rel_str($c1).
% 7.89/8.05 ** KEPT (pick-wt=2): 162 [] one_sorted_str($c2).
% 7.89/8.05 ** KEPT (pick-wt=6): 163 [] relation_of2($f5(A,B),A,B).
% 7.89/8.05 ** KEPT (pick-wt=4): 164 [] element($f6(A),A).
% 7.89/8.05 ** KEPT (pick-wt=6): 165 [] relation_of2_as_subset($f7(A,B),A,B).
% 7.89/8.05 ** KEPT (pick-wt=3): 166 [] cup_closed(powerset(A)).
% 7.89/8.05 ** KEPT (pick-wt=3): 167 [] diff_closed(powerset(A)).
% 7.89/8.05 ** KEPT (pick-wt=3): 168 [] preboolean(powerset(A)).
% 7.89/8.05 ** KEPT (pick-wt=2): 169 [] empty(empty_set).
% 7.89/8.05 ** KEPT (pick-wt=2): 170 [] finite($c3).
% 7.89/8.05 ** KEPT (pick-wt=2): 171 [] relation($c4).
% 7.89/8.05 ** KEPT (pick-wt=2): 172 [] function($c4).
% 7.89/8.05 ** KEPT (pick-wt=6): 173 [] relation_of2($f8(A,B),A,B).
% 7.89/8.05 ** KEPT (pick-wt=4): 174 [] relation($f8(A,B)).
% 7.89/8.05 ** KEPT (pick-wt=4): 175 [] function($f8(A,B)).
% 7.89/8.05 ** KEPT (pick-wt=6): 176 [] quasi_total($f8(A,B),A,B).
% 7.89/8.05 ** KEPT (pick-wt=2): 177 [] empty($c5).
% 7.89/8.05 ** KEPT (pick-wt=2): 178 [] relation($c6).
% 7.89/8.05 ** KEPT (pick-wt=2): 179 [] empty($c6).
% 7.89/8.05 ** KEPT (pick-wt=2): 180 [] function($c6).
% 7.89/8.05 ** KEPT (pick-wt=7): 181 [] empty(A)|element($f9(A),powerset(A)).
% 7.89/8.05 ** KEPT (pick-wt=5): 182 [] empty(A)|finite($f9(A)).
% 7.89/8.05 ** KEPT (pick-wt=2): 183 [] relation($c8).
% 7.89/8.05 ** KEPT (pick-wt=2): 184 [] function($c8).
% 7.89/8.05 ** KEPT (pick-wt=2): 185 [] one_to_one($c8).
% 7.89/8.05 ** KEPT (pick-wt=2): 186 [] one_sorted_str($c9).
% 7.89/8.05 ** KEPT (pick-wt=7): 187 [] empty(A)|element($f10(A),powerset(A)).
% 7.89/8.05 ** KEPT (pick-wt=5): 188 [] empty(A)|finite($f10(A)).
% 7.89/8.05 ** KEPT (pick-wt=3): 189 [] subset(A,A).
% 7.89/8.05 ** KEPT (pick-wt=2): 190 [] one_sorted_str($c14).
% 7.89/8.05 ** KEPT (pick-wt=2): 191 [] directed_relstr($c13).
% 7.89/8.05 ** KEPT (pick-wt=3): 192 [] net_str($c13,$c14).
% 7.89/8.05 ** KEPT (pick-wt=4): 193 [] element($c12,the_carrier($c13)).
% 7.89/8.05 ** KEPT (pick-wt=4): 194 [] element($c11,the_carrier($c13)).
% 7.89/8.05 ** KEPT (pick-wt=7): 195 [] element($c10,the_carrier(netstr_restr_to_element($c14,$c13,$c12))).
% 7.89/8.05 ** KEPT (pick-wt=3): 196 [] $c11=$c10.
% 7.89/8.05 ---> New Demodulator: 197 [new_demod,196] $c11=$c10.
% 7.89/8.05 Following clause subsumed by 160 during input processing: 0 [copy,160,flip.1] A=A.
% 7.89/8.05 160 back subsumes 134.
% 7.89/8.05 >>>> Starting back demodulation with 197.
% 7.89/8.05 >> back demodulating 194 with 197.
% 7.89/8.05 >> back demodulating 81 with 197.
% 7.89/8.05
% 7.89/8.05 ======= end of input processing =======
% 7.89/8.05
% 7.89/8.05 =========== start of search ===========
% 7.89/8.05
% 7.89/8.05
% 7.89/8.05 Resetting weight limit to 2.
% 7.89/8.05
% 7.89/8.05
% 7.89/8.05 Resetting weight limit to 2.
% 7.89/8.05
% 7.89/8.05 sos_size=214
% 7.89/8.05
% 7.89/8.05 Search stopped because sos empty.
% 7.89/8.05
% 7.89/8.05
% 7.89/8.05 Search stopped because sos empty.
% 7.89/8.05
% 7.89/8.05 ============ end of search ============
% 7.89/8.05
% 7.89/8.05 -------------- statistics -------------
% 7.89/8.05 clauses given 229
% 7.89/8.05 clauses generated 74277
% 7.89/8.05 clauses kept 383
% 7.89/8.05 clauses forward subsumed 218
% 7.89/8.05 clauses back subsumed 2
% 7.89/8.05 Kbytes malloced 5859
% 7.89/8.05
% 7.89/8.05 ----------- times (seconds) -----------
% 7.89/8.05 user CPU time 5.55 (0 hr, 0 min, 5 sec)
% 7.89/8.05 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 7.89/8.05 wall-clock time 8 (0 hr, 0 min, 8 sec)
% 7.89/8.05
% 7.89/8.05 Process 18481 finished Wed Jul 27 07:43:33 2022
% 7.89/8.05 Otter interrupted
% 7.89/8.05 PROOF NOT FOUND
%------------------------------------------------------------------------------