TSTP Solution File: SEU385+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SEU385+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n017.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 : 600s
% DateTime : Tue Jul 19 13:31:27 EDT 2022
% Result : Timeout 300.06s 300.40s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU385+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n017.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 : 600
% 0.12/0.33 % DateTime : Sun Jun 19 15:23:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.42/1.05 ============================== Prover9 ===============================
% 0.42/1.05 Prover9 (32) version 2009-11A, November 2009.
% 0.42/1.05 Process 6829 was started by sandbox on n017.cluster.edu,
% 0.42/1.05 Sun Jun 19 15:23:29 2022
% 0.42/1.05 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_6660_n017.cluster.edu".
% 0.42/1.05 ============================== end of head ===========================
% 0.42/1.05
% 0.42/1.05 ============================== INPUT =================================
% 0.42/1.05
% 0.42/1.05 % Reading from file /tmp/Prover9_6660_n017.cluster.edu
% 0.42/1.05
% 0.42/1.05 set(prolog_style_variables).
% 0.42/1.05 set(auto2).
% 0.42/1.05 % set(auto2) -> set(auto).
% 0.42/1.05 % set(auto) -> set(auto_inference).
% 0.42/1.05 % set(auto) -> set(auto_setup).
% 0.42/1.05 % set(auto_setup) -> set(predicate_elim).
% 0.42/1.05 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.42/1.05 % set(auto) -> set(auto_limits).
% 0.42/1.05 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.42/1.05 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.42/1.05 % set(auto) -> set(auto_denials).
% 0.42/1.05 % set(auto) -> set(auto_process).
% 0.42/1.05 % set(auto2) -> assign(new_constants, 1).
% 0.42/1.05 % set(auto2) -> assign(fold_denial_max, 3).
% 0.42/1.05 % set(auto2) -> assign(max_weight, "200.000").
% 0.42/1.05 % set(auto2) -> assign(max_hours, 1).
% 0.42/1.05 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.42/1.05 % set(auto2) -> assign(max_seconds, 0).
% 0.42/1.05 % set(auto2) -> assign(max_minutes, 5).
% 0.42/1.05 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.42/1.05 % set(auto2) -> set(sort_initial_sos).
% 0.42/1.05 % set(auto2) -> assign(sos_limit, -1).
% 0.42/1.05 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.42/1.05 % set(auto2) -> assign(max_megs, 400).
% 0.42/1.05 % set(auto2) -> assign(stats, some).
% 0.42/1.05 % set(auto2) -> clear(echo_input).
% 0.42/1.05 % set(auto2) -> set(quiet).
% 0.42/1.05 % set(auto2) -> clear(print_initial_clauses).
% 0.42/1.05 % set(auto2) -> clear(print_given).
% 0.42/1.05 assign(lrs_ticks,-1).
% 0.42/1.05 assign(sos_limit,10000).
% 0.42/1.05 assign(order,kbo).
% 0.42/1.05 set(lex_order_vars).
% 0.42/1.05 clear(print_given).
% 0.42/1.05
% 0.42/1.05 % formulas(sos). % not echoed (79 formulas)
% 0.42/1.05
% 0.42/1.05 ============================== end of input ==========================
% 0.42/1.05
% 0.42/1.05 % From the command line: assign(max_seconds, 300).
% 0.42/1.05
% 0.42/1.05 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.42/1.05
% 0.42/1.05 % Formulas that are not ordinary clauses:
% 0.42/1.05 1 (all A all 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))))) # label(abstractness_v6_waybel_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 2 (all A all B (in(A,B) -> -in(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 3 (all A (empty(A) -> finite(A))) # label(cc1_finset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 4 (all A (preboolean(A) -> cup_closed(A) & diff_closed(A))) # label(cc1_finsub_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 5 (all A (empty(A) -> function(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 6 (all A all B all C (relation_of2(C,A,B) -> (function(C) & v1_partfun1(C,A,B) -> function(C) & quasi_total(C,A,B)))) # label(cc1_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 7 (all A all B all C (element(C,powerset(cartesian_product2(A,B))) -> relation(C))) # label(cc1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 8 (all A (finite(A) -> (all B (element(B,powerset(A)) -> finite(B))))) # label(cc2_finset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 9 (all A (cup_closed(A) & diff_closed(A) -> preboolean(A))) # label(cc2_finsub_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 10 (all A (relation(A) & empty(A) & function(A) -> relation(A) & function(A) & one_to_one(A))) # label(cc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 11 (all A all 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)))))) # label(cc5_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 12 (all A all 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)))))) # label(cc6_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 13 (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))))))))))) # label(d7_waybel_9) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 14 (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))))))) # label(d8_waybel_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 15 (all A all B all C all 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))) # label(dt_g1_waybel_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 16 $T # label(dt_k1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 17 (all A all B (relation(A) -> relation_of2_as_subset(relation_restriction_as_relation_of(A,B),B,B))) # label(dt_k1_toler_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 18 (all A all B all C all 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)))) # label(dt_k1_waybel_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 19 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 20 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 21 (all A all B all C all 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))) # label(dt_k2_partfun1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 22 (all A all B (relation(A) -> relation(relation_restriction(A,B)))) # label(dt_k2_wellord1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 23 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 24 (all A all B all 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)))) # label(dt_k3_waybel_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 25 (all A all B all 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))) # label(dt_k5_waybel_9) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 26 (all A all B (relation(A) -> relation(relation_dom_restriction(A,B)))) # label(dt_k7_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 27 (all A all B all C all 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)))) # label(dt_k7_yellow_2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 28 (all A (rel_str(A) -> one_sorted_str(A))) # label(dt_l1_orders_2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 29 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 30 (all A (one_sorted_str(A) -> (all B (net_str(B,A) -> rel_str(B))))) # label(dt_l1_waybel_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 31 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 32 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 33 (all A all B all C (relation_of2_as_subset(C,A,B) -> element(C,powerset(cartesian_product2(A,B))))) # label(dt_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 34 (all A (rel_str(A) -> relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)))) # label(dt_u1_orders_2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 35 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 36 (all A all 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)))) # label(dt_u1_waybel_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 37 (exists A rel_str(A)) # label(existence_l1_orders_2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 38 (exists A one_sorted_str(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 39 (all A (one_sorted_str(A) -> (exists B net_str(B,A)))) # label(existence_l1_waybel_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 40 (all A all B exists C relation_of2(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 41 (all A exists B element(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 42 (all A all B exists C relation_of2_as_subset(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 43 (all A all B (finite(A) & finite(B) -> finite(cartesian_product2(A,B)))) # label(fc14_finset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 44 (all A all 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)))) # label(fc15_yellow_6) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 45 (all A (-empty(powerset(A)) & cup_closed(powerset(A)) & diff_closed(powerset(A)) & preboolean(powerset(A)))) # label(fc1_finsub_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 46 (all A (-empty_carrier(A) & one_sorted_str(A) -> -empty(the_carrier(A)))) # label(fc1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 47 (all A all B all 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))) # label(fc22_waybel_9) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 48 (all A all B (relation(A) & function(A) -> relation(relation_dom_restriction(A,B)) & function(relation_dom_restriction(A,B)))) # label(fc4_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 49 (all A all B all C all 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))) # label(fc6_waybel_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 50 (all A all B all C all 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 all F all G all H (net_str_of(A,B,C,D) = net_str_of(E,F,G,H) -> A = E & B = F & C = G & D = H)))) # label(free_g1_waybel_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 51 (exists A (-empty(A) & finite(A))) # label(rc1_finset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 52 (exists A (relation(A) & function(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 53 (all A all B exists C (relation_of2(C,A,B) & relation(C) & function(C) & quasi_total(C,A,B))) # label(rc1_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 54 (exists A empty(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 55 (exists A (relation(A) & empty(A) & function(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 56 (exists A -empty(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 57 (all A (-empty(A) -> (exists B (element(B,powerset(A)) & -empty(B) & finite(B))))) # label(rc3_finset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 58 (exists A (relation(A) & function(A) & one_to_one(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 59 (exists A (one_sorted_str(A) & -empty_carrier(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 60 (all A (-empty(A) -> (exists B (element(B,powerset(A)) & -empty(B) & finite(B))))) # label(rc4_finset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 61 (all A (one_sorted_str(A) -> (exists B (net_str(B,A) & strict_net_str(B,A))))) # label(rc4_waybel_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 62 (all A (-empty_carrier(A) & one_sorted_str(A) -> (exists B (element(B,powerset(the_carrier(A))) & -empty(B))))) # label(rc5_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 63 (all A all B (relation(A) -> relation_restriction_as_relation_of(A,B) = relation_restriction(A,B))) # label(redefinition_k1_toler_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 64 (all A all B all C all 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))) # label(redefinition_k1_waybel_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 65 (all A all B all C all D (function(C) & relation_of2(C,A,B) -> partfun_dom_restriction(A,B,C,D) = relation_dom_restriction(C,D))) # label(redefinition_k2_partfun1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 66 (all A all B all C all 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))) # label(redefinition_k7_yellow_2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 67 (all A all B all C (relation_of2_as_subset(C,A,B) <-> relation_of2(C,A,B))) # label(redefinition_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 68 (all A all B subset(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 69 (all A all B (in(A,B) -> element(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 70 (all A all B (element(A,B) -> empty(B) | in(A,B))) # label(t2_subset) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 71 (all A all B (element(A,powerset(B)) <-> subset(A,B))) # label(t3_subset) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 72 (all A all B all C (in(A,B) & element(B,powerset(C)) -> element(A,C))) # label(t4_subset) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 73 (all A all B all C -(in(A,B) & element(B,powerset(C)) & empty(C))) # label(t5_subset) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 74 (all A (empty(A) -> A = empty_set)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 75 (all A all B all C (relation(C) & function(C) -> (in(B,A) -> apply(relation_dom_restriction(C,A),B) = apply(C,B)))) # label(t72_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 76 (all A all B -(in(A,B) & empty(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 77 (all A all B -(empty(A) & A != B & empty(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 78 -(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)))))))))))) # label(t16_waybel_9) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.42/1.06
% 0.42/1.06 ============================== end of process non-clausal formulas ===
% 0.42/1.06
% 0.42/1.06 ============================== PROCESS INITIAL CLAUSES ===============
% 0.42/1.06
% 0.42/1.06 ============================== PREDICATE ELIMINATION =================
% 0.42/1.06 79 -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) # label(dt_g1_waybel_0) # label(axiom). [clausify(15)].
% 0.42/1.06 80 -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 # label(abstractness_v6_waybel_0) # label(axiom). [clausify(1)].
% 0.42/1.06 81 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) | netstr_restr_to_element(A,B,C) != D | -in(E,the_carrier(D)) | element(f1(A,B,C,D,E),the_carrier(B)) # label(d7_waybel_9) # label(axiom). [clausify(13)].
% 0.42/1.06 82 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) | netstr_restr_to_element(A,B,C) != D | -in(E,the_carrier(D)) | f1(A,B,C,D,E) = E # label(d7_waybel_9) # label(axiom). [clausify(13)].
% 0.42/1.06 83 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) | netstr_restr_to_element(A,B,C) != D | -in(E,the_carrier(D)) | related(B,C,f1(A,B,C,D,E)) # label(d7_waybel_9) # label(axiom). [clausify(13)].
% 0.42/1.06 84 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) | netstr_restr_to_element(A,B,C) != D | in(E,the_carrier(D)) | -element(F,the_carrier(B)) | F != E | -related(B,C,F) # label(d7_waybel_9) # label(axiom). [clausify(13)].
% 0.42/1.06 85 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) | netstr_restr_to_element(A,B,C) != D | relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(D)) = the_InternalRel(D) # label(d7_waybel_9) # label(axiom). [clausify(13)].
% 0.42/1.06 86 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) | netstr_restr_to_element(A,B,C) != D | partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(D)) = the_mapping(A,D) # label(d7_waybel_9) # label(axiom). [clausify(13)].
% 0.42/1.06 87 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) | netstr_restr_to_element(A,B,C) = D | in(f2(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) | partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(D)) != the_mapping(A,D) # label(d7_waybel_9) # label(axiom). [clausify(13)].
% 0.42/1.06 88 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) | netstr_restr_to_element(A,B,C) = D | in(f2(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) | partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(D)) != the_mapping(A,D) # label(d7_waybel_9) # label(axiom). [clausify(13)].
% 0.42/1.06 89 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) | netstr_restr_to_element(A,B,C) = D | in(f2(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) | partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(D)) != the_mapping(A,D) # label(d7_waybel_9) # label(axiom). [clausify(13)].
% 0.42/1.06 90 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) | netstr_restr_to_element(A,B,C) = D | -in(f2(A,B,C,D),the_carrier(D)) | -element(E,the_carrier(B)) | E != f2(A,B,C,D) | -related(B,C,E) | relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(D)) != the_InternalRel(D) | partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(D)) != the_mapping(A,D) # label(d7_waybel_9) # label(axiom). [clausify(13)].
% 0.42/1.06 Derived: -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)) | -one_sorted_str(A) | -net_str(net_str_of(A,C,B,D),A) | net_str_of(A,the_carrier(net_str_of(A,C,B,D)),the_InternalRel(net_str_of(A,C,B,D)),the_mapping(A,net_str_of(A,C,B,D))) = net_str_of(A,C,B,D). [resolve(79,f,80,c)].
% 0.42/1.06 Derived: -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)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(E) | -net_str(E,A) | -element(F,the_carrier(E)) | -net_str(net_str_of(A,C,B,D),A) | netstr_restr_to_element(A,E,F) != net_str_of(A,C,B,D) | -in(V6,the_carrier(net_str_of(A,C,B,D))) | element(f1(A,E,F,net_str_of(A,C,B,D),V6),the_carrier(E)). [resolve(79,f,81,f)].
% 0.42/1.06 Derived: -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)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(E) | -net_str(E,A) | -element(F,the_carrier(E)) | -net_str(net_str_of(A,C,B,D),A) | netstr_restr_to_element(A,E,F) != net_str_of(A,C,B,D) | -in(V6,the_carrier(net_str_of(A,C,B,D))) | f1(A,E,F,net_str_of(A,C,B,D),V6) = V6. [resolve(79,f,82,f)].
% 0.42/1.06 Derived: -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)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(E) | -net_str(E,A) | -element(F,the_carrier(E)) | -net_str(net_str_of(A,C,B,D),A) | netstr_restr_to_element(A,E,F) != net_str_of(A,C,B,D) | -in(V6,the_carrier(net_str_of(A,C,B,D))) | related(E,F,f1(A,E,F,net_str_of(A,C,B,D),V6)). [resolve(79,f,83,f)].
% 0.42/1.06 Derived: -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)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(E) | -net_str(E,A) | -element(F,the_carrier(E)) | -net_str(net_str_of(A,C,B,D),A) | netstr_restr_to_element(A,E,F) != net_str_of(A,C,B,D) | in(V6,the_carrier(net_str_of(A,C,B,D))) | -element(V7,the_carrier(E)) | V7 != V6 | -related(E,F,V7). [resolve(79,f,84,f)].
% 0.42/1.06 Derived: -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)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(E) | -net_str(E,A) | -element(F,the_carrier(E)) | -net_str(net_str_of(A,C,B,D),A) | netstr_restr_to_element(A,E,F) != net_str_of(A,C,B,D) | relation_restriction_as_relation_of(the_InternalRel(E),the_carrier(net_str_of(A,C,B,D))) = the_InternalRel(net_str_of(A,C,B,D)). [resolve(79,f,85,f)].
% 0.42/1.06 Derived: -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)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(E) | -net_str(E,A) | -element(F,the_carrier(E)) | -net_str(net_str_of(A,C,B,D),A) | netstr_restr_to_element(A,E,F) != net_str_of(A,C,B,D) | partfun_dom_restriction(the_carrier(E),the_carrier(A),the_mapping(A,E),the_carrier(net_str_of(A,C,B,D))) = the_mapping(A,net_str_of(A,C,B,D)). [resolve(79,f,86,f)].
% 0.42/1.06 Derived: -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)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(E) | -net_str(E,A) | -element(F,the_carrier(E)) | -net_str(net_str_of(A,C,B,D),A) | netstr_restr_to_element(A,E,F) = net_str_of(A,C,B,D) | in(f2(A,E,F,net_str_of(A,C,B,D)),the_carrier(net_str_of(A,C,B,D))) | element(f3(A,E,F,net_str_of(A,C,B,D)),the_carrier(E)) | relation_restriction_as_relation_of(the_InternalRel(E),the_carrier(net_str_of(A,C,B,D))) != the_InternalRel(net_str_of(A,C,B,D)) | partfun_dom_restriction(the_carrier(E),the_carrier(A),the_mapping(A,E),the_carrier(net_str_of(A,C,B,D))) != the_mapping(A,net_str_of(A,C,B,D)). [resolve(79,f,87,f)].
% 0.42/1.06 Derived: -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)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(E) | -net_str(E,A) | -element(F,the_carrier(E)) | -net_str(net_str_of(A,C,B,D),A) | netstr_restr_to_element(A,E,F) = net_str_of(A,C,B,D) | in(f2(A,E,F,net_str_of(A,C,B,D)),the_carrier(net_str_of(A,C,B,D))) | f3(A,E,F,net_str_of(A,C,B,D)) = f2(A,E,F,net_str_of(A,C,B,D)) | relation_restriction_as_relation_of(the_InternalRel(E),the_carrier(net_str_of(A,C,B,D))) != the_InternalRel(net_str_of(A,C,B,D)) | partfun_dom_restriction(the_carrier(E),the_carrier(A),the_mapping(A,E),the_carrier(net_str_of(A,C,B,D))) != the_mapping(A,net_str_of(A,C,B,D)). [resolve(79,f,88,f)].
% 0.42/1.06 Derived: -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)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(E) | -net_str(E,A) | -element(F,the_carrier(E)) | -net_str(net_str_of(A,C,B,D),A) | netstr_restr_to_element(A,E,F) = net_str_of(A,C,B,D) | in(f2(A,E,F,net_str_of(A,C,B,D)),the_carrier(net_str_of(A,C,B,D))) | related(E,F,f3(A,E,F,net_str_of(A,C,B,D))) | relation_restriction_as_relation_of(the_InternalRel(E),the_carrier(net_str_of(A,C,B,D))) != the_InternalRel(net_str_of(A,C,B,D)) | partfun_dom_restriction(the_carrier(E),the_carrier(A),the_mapping(A,E),the_carrier(net_str_of(A,C,B,D))) != the_mapping(A,net_str_of(A,C,B,D)). [resolve(79,f,89,f)].
% 0.42/1.06 Derived: -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)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(E) | -net_str(E,A) | -element(F,the_carrier(E)) | -net_str(net_str_of(A,C,B,D),A) | netstr_restr_to_element(A,E,F) = net_str_of(A,C,B,D) | -in(f2(A,E,F,net_str_of(A,C,B,D)),the_carrier(net_str_of(A,C,B,D))) | -element(V6,the_carrier(E)) | V6 != f2(A,E,F,net_str_of(A,C,B,D)) | -related(E,F,V6) | relation_restriction_as_relation_of(the_InternalRel(E),the_carrier(net_str_of(A,C,B,D))) != the_InternalRel(net_str_of(A,C,B,D)) | partfun_dom_restriction(the_carrier(E),the_carrier(A),the_mapping(A,E),the_carrier(net_str_of(A,C,B,D))) != the_mapping(A,net_str_of(A,C,B,D)). [resolve(79,f,90,f)].
% 0.42/1.06 91 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) # label(dt_k5_waybel_9) # label(axiom). [clausify(25)].
% 0.42/1.06 Derived: empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -one_sorted_str(A) | -net_str(netstr_restr_to_element(A,B,C),A) | net_str_of(A,the_carrier(netstr_restr_to_element(A,B,C)),the_InternalRel(netstr_restr_to_element(A,B,C)),the_mapping(A,netstr_restr_to_element(A,B,C))) = netstr_restr_to_element(A,B,C). [resolve(91,f,80,c)].
% 0.42/1.06 Derived: empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(D) | -net_str(D,A) | -element(E,the_carrier(D)) | -net_str(netstr_restr_to_element(A,B,C),A) | netstr_restr_to_element(A,D,E) != netstr_restr_to_element(A,B,C) | -in(F,the_carrier(netstr_restr_to_element(A,B,C))) | element(f1(A,D,E,netstr_restr_to_element(A,B,C),F),the_carrier(D)). [resolve(91,f,81,f)].
% 0.42/1.06 Derived: empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(D) | -net_str(D,A) | -element(E,the_carrier(D)) | -net_str(netstr_restr_to_element(A,B,C),A) | netstr_restr_to_element(A,D,E) != netstr_restr_to_element(A,B,C) | -in(F,the_carrier(netstr_restr_to_element(A,B,C))) | f1(A,D,E,netstr_restr_to_element(A,B,C),F) = F. [resolve(91,f,82,f)].
% 0.42/1.06 Derived: empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(D) | -net_str(D,A) | -element(E,the_carrier(D)) | -net_str(netstr_restr_to_element(A,B,C),A) | netstr_restr_to_element(A,D,E) != netstr_restr_to_element(A,B,C) | -in(F,the_carrier(netstr_restr_to_element(A,B,C))) | related(D,E,f1(A,D,E,netstr_restr_to_element(A,B,C),F)). [resolve(91,f,83,f)].
% 0.42/1.06 Derived: empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(D) | -net_str(D,A) | -element(E,the_carrier(D)) | -net_str(netstr_restr_to_element(A,B,C),A) | netstr_restr_to_element(A,D,E) != netstr_restr_to_element(A,B,C) | in(F,the_carrier(netstr_restr_to_element(A,B,C))) | -element(V6,the_carrier(D)) | V6 != F | -related(D,E,V6). [resolve(91,f,84,f)].
% 0.42/1.06 Derived: empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(D) | -net_str(D,A) | -element(E,the_carrier(D)) | -net_str(netstr_restr_to_element(A,B,C),A) | netstr_restr_to_element(A,D,E) != netstr_restr_to_element(A,B,C) | relation_restriction_as_relation_of(the_InternalRel(D),the_carrier(netstr_restr_to_element(A,B,C))) = the_InternalRel(netstr_restr_to_element(A,B,C)). [resolve(91,f,85,f)].
% 0.42/1.06 Derived: empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(D) | -net_str(D,A) | -element(E,the_carrier(D)) | -net_str(netstr_restr_to_element(A,B,C),A) | netstr_restr_to_element(A,D,E) != netstr_restr_to_element(A,B,C) | partfun_dom_restriction(the_carrier(D),the_carrier(A),the_mapping(A,D),the_carrier(netstr_restr_to_element(A,B,C))) = the_mapping(A,netstr_restr_to_element(A,B,C)). [resolve(91,f,86,f)].
% 0.42/1.06 Derived: empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(D) | -net_str(D,A) | -element(E,the_carrier(D)) | -net_str(netstr_restr_to_element(A,B,C),A) | netstr_restr_to_element(A,D,E) = netstr_restr_to_element(A,B,C) | in(f2(A,D,E,netstr_restr_to_element(A,B,C)),the_carrier(netstr_restr_to_element(A,B,C))) | element(f3(A,D,E,netstr_restr_to_element(A,B,C)),the_carrier(D)) | relation_restriction_as_relation_of(the_InternalRel(D),the_carrier(netstr_restr_to_element(A,B,C))) != the_InternalRel(netstr_restr_to_element(A,B,C)) | partfun_dom_restriction(the_carrier(D),the_carrier(A),the_mapping(A,D),the_carrier(netstr_restr_to_element(A,B,C))) != the_mapping(A,netstr_restr_to_element(A,B,C)). [resolve(91,f,87,f)].
% 0.42/1.06 Derived: empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(D) | -net_str(D,A) | -element(E,the_carrier(D)) | -net_str(netstr_restr_to_element(A,B,C),A) | netstr_restr_to_element(A,D,E) = netstr_restr_to_element(A,B,C) | in(f2(A,D,E,netstr_restr_to_element(A,B,C)),the_carrier(netstr_restr_to_element(A,B,C))) | f3(A,D,E,netstr_restr_to_element(A,B,C)) = f2(A,D,E,netstr_restr_to_element(A,B,C)) | relation_restriction_as_relation_of(the_InternalRel(D),the_carrier(netstr_restr_to_element(A,B,C))) != the_InternalRel(netstr_restr_to_element(A,B,C)) | partfun_dom_restriction(the_carrier(D),the_carrier(A),the_mapping(A,D),the_carrier(netstr_restr_to_element(A,B,C))) != the_mapping(A,netstr_restr_to_element(A,B,C)). [resolve(91,f,88,f)].
% 0.42/1.06 Derived: empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(D) | -net_str(D,A) | -element(E,the_carrier(D)) | -net_str(netstr_restr_to_element(A,B,C),A) | netstr_restr_to_element(A,D,E) = netstr_restr_to_element(A,B,C) | in(f2(A,D,E,netstr_restr_to_element(A,B,C)),the_carrier(netstr_restr_to_element(A,B,C))) | related(D,E,f3(A,D,E,netstr_restr_to_element(A,B,C))) | relation_restriction_as_relation_of(the_InternalRel(D),the_carrier(netstr_restr_to_element(A,B,C))) != the_InternalRel(netstr_restr_to_element(A,B,C)) | partfun_dom_restriction(the_carrier(D),the_carrier(A),the_mapping(A,D),the_carrier(netstr_restr_to_element(A,B,C))) != the_mapping(A,netstr_restr_to_element(A,B,C)). [resolve(91,f,89,f)].
% 0.42/1.08 Derived: empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(D) | -net_str(D,A) | -element(E,the_carrier(D)) | -net_str(netstr_restr_to_element(A,B,C),A) | netstr_restr_to_element(A,D,E) = netstr_restr_to_element(A,B,C) | -in(f2(A,D,E,netstr_restr_to_element(A,B,C)),the_carrier(netstr_restr_to_element(A,B,C))) | -element(F,the_carrier(D)) | F != f2(A,D,E,netstr_restr_to_element(A,B,C)) | -related(D,E,F) | relation_restriction_as_relation_of(the_InternalRel(D),the_carrier(netstr_restr_to_element(A,B,C))) != the_InternalRel(netstr_restr_to_element(A,B,C)) | partfun_dom_restriction(the_carrier(D),the_carrier(A),the_mapping(A,D),the_carrier(netstr_restr_to_element(A,B,C))) != the_mapping(A,netstr_restr_to_element(A,B,C)). [resolve(91,f,90,f)].
% 0.42/1.08 92 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) # label(fc22_waybel_9) # label(axiom). [clausify(47)].
% 0.42/1.08 93 -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) # label(fc6_waybel_0) # label(axiom). [clausify(49)].
% 0.42/1.08 94 -one_sorted_str(A) | strict_net_str(f11(A),A) # label(rc4_waybel_0) # label(axiom). [clausify(61)].
% 0.42/1.08 Derived: -one_sorted_str(A) | -one_sorted_str(A) | -net_str(f11(A),A) | net_str_of(A,the_carrier(f11(A)),the_InternalRel(f11(A)),the_mapping(A,f11(A))) = f11(A). [resolve(94,b,80,c)].
% 0.42/1.08 Derived: -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) != f11(A) | -in(D,the_carrier(f11(A))) | element(f1(A,B,C,f11(A),D),the_carrier(B)). [resolve(94,b,81,f)].
% 0.42/1.08 Derived: -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) != f11(A) | -in(D,the_carrier(f11(A))) | f1(A,B,C,f11(A),D) = D. [resolve(94,b,82,f)].
% 0.42/1.08 Derived: -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) != f11(A) | -in(D,the_carrier(f11(A))) | related(B,C,f1(A,B,C,f11(A),D)). [resolve(94,b,83,f)].
% 0.42/1.08 Derived: -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) != f11(A) | in(D,the_carrier(f11(A))) | -element(E,the_carrier(B)) | E != D | -related(B,C,E). [resolve(94,b,84,f)].
% 0.42/1.08 Derived: -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) != f11(A) | relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(f11(A))) = the_InternalRel(f11(A)). [resolve(94,b,85,f)].
% 0.42/1.08 Derived: -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) != f11(A) | partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(f11(A))) = the_mapping(A,f11(A)). [resolve(94,b,86,f)].
% 0.42/1.08 Derived: -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) = f11(A) | in(f2(A,B,C,f11(A)),the_carrier(f11(A))) | element(f3(A,B,C,f11(A)),the_carrier(B)) | relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(f11(A))) != the_InternalRel(f11(A)) | partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(f11(A))) != the_mapping(A,f11(A)). [resolve(94,b,87,f)].
% 0.42/1.08 Derived: -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) = f11(A) | in(f2(A,B,C,f11(A)),the_carrier(f11(A))) | f3(A,B,C,f11(A)) = f2(A,B,C,f11(A)) | relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(f11(A))) != the_InternalRel(f11(A)) | partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(f11(A))) != the_mapping(A,f11(A)). [resolve(94,b,88,f)].
% 0.42/1.09 Derived: -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) = f11(A) | in(f2(A,B,C,f11(A)),the_carrier(f11(A))) | related(B,C,f3(A,B,C,f11(A))) | relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(f11(A))) != the_InternalRel(f11(A)) | partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(f11(A))) != the_mapping(A,f11(A)). [resolve(94,b,89,f)].
% 0.42/1.09 Derived: -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) = f11(A) | -in(f2(A,B,C,f11(A)),the_carrier(f11(A))) | -element(D,the_carrier(B)) | D != f2(A,B,C,f11(A)) | -related(B,C,D) | relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(f11(A))) != the_InternalRel(f11(A)) | partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(f11(A))) != the_mapping(A,f11(A)). [resolve(94,b,90,f)].
% 0.42/1.09 95 -cup_closed(A) | -diff_closed(A) | preboolean(A) # label(cc2_finsub_1) # label(axiom). [clausify(9)].
% 0.42/1.09 96 -preboolean(A) | cup_closed(A) # label(cc1_finsub_1) # label(axiom). [clausify(4)].
% 0.42/1.09 97 -preboolean(A) | diff_closed(A) # label(cc1_finsub_1) # label(axiom). [clausify(4)].
% 0.42/1.09 98 preboolean(powerset(A)) # label(fc1_finsub_1) # label(axiom). [clausify(45)].
% 0.42/1.09 Derived: cup_closed(powerset(A)). [resolve(98,a,96,a)].
% 0.42/1.09 Derived: diff_closed(powerset(A)). [resolve(98,a,97,a)].
% 0.42/1.09 99 empty(A) | -relation_of2(B,C,A) | -function(B) | -quasi_total(B,C,A) | v1_partfun1(B,C,A) # label(cc5_funct_2) # label(axiom). [clausify(11)].
% 0.42/1.09 100 -relation_of2(A,B,C) | -function(A) | -v1_partfun1(A,B,C) | quasi_total(A,B,C) # label(cc1_funct_2) # label(axiom). [clausify(6)].
% 0.42/1.09 101 empty(A) | empty(B) | -relation_of2(C,A,B) | -function(C) | -quasi_total(C,A,B) | v1_partfun1(C,A,B) # label(cc6_funct_2) # label(axiom). [clausify(12)].
% 0.42/1.09 102 -relation_of2_as_subset(A,B,C) | element(A,powerset(cartesian_product2(B,C))) # label(dt_m2_relset_1) # label(axiom). [clausify(33)].
% 0.42/1.09 103 -relation(A) | relation_of2_as_subset(relation_restriction_as_relation_of(A,B),B,B) # label(dt_k1_toler_1) # label(axiom). [clausify(17)].
% 0.42/1.09 104 -function(A) | -relation_of2(A,B,C) | relation_of2_as_subset(partfun_dom_restriction(B,C,A,D),B,C) # label(dt_k2_partfun1) # label(axiom). [clausify(21)].
% 0.42/1.09 Derived: element(relation_restriction_as_relation_of(A,B),powerset(cartesian_product2(B,B))) | -relation(A). [resolve(102,a,103,b)].
% 0.42/1.09 Derived: element(partfun_dom_restriction(A,B,C,D),powerset(cartesian_product2(A,B))) | -function(C) | -relation_of2(C,A,B). [resolve(102,a,104,c)].
% 0.42/1.09 105 -rel_str(A) | relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)) # label(dt_u1_orders_2) # label(axiom). [clausify(34)].
% 0.42/1.09 Derived: -rel_str(A) | element(the_InternalRel(A),powerset(cartesian_product2(the_carrier(A),the_carrier(A)))). [resolve(105,b,102,a)].
% 0.42/1.09 106 -one_sorted_str(A) | -net_str(B,A) | relation_of2_as_subset(the_mapping(A,B),the_carrier(B),the_carrier(A)) # label(dt_u1_waybel_0) # label(axiom). [clausify(36)].
% 0.42/1.09 Derived: -one_sorted_str(A) | -net_str(B,A) | element(the_mapping(A,B),powerset(cartesian_product2(the_carrier(B),the_carrier(A)))). [resolve(106,c,102,a)].
% 0.42/1.09 107 relation_of2_as_subset(f7(A,B),A,B) # label(existence_m2_relset_1) # label(axiom). [clausify(42)].
% 0.42/1.09 Derived: element(f7(A,B),powerset(cartesian_product2(A,B))). [resolve(107,a,102,a)].
% 0.42/1.09 108 -relation_of2_as_subset(A,B,C) | relation_of2(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(67)].
% 0.78/1.12 Derived: relation_of2(relation_restriction_as_relation_of(A,B),B,B) | -relation(A). [resolve(108,a,103,b)].
% 0.78/1.12 Derived: relation_of2(partfun_dom_restriction(A,B,C,D),A,B) | -function(C) | -relation_of2(C,A,B). [resolve(108,a,104,c)].
% 0.78/1.12 Derived: relation_of2(the_InternalRel(A),the_carrier(A),the_carrier(A)) | -rel_str(A). [resolve(108,a,105,b)].
% 0.78/1.12 Derived: relation_of2(the_mapping(A,B),the_carrier(B),the_carrier(A)) | -one_sorted_str(A) | -net_str(B,A). [resolve(108,a,106,c)].
% 0.78/1.12 Derived: relation_of2(f7(A,B),A,B). [resolve(108,a,107,a)].
% 0.78/1.12 109 relation_of2_as_subset(A,B,C) | -relation_of2(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(67)].
% 0.78/1.12 Derived: -relation_of2(A,B,C) | element(A,powerset(cartesian_product2(B,C))). [resolve(109,a,102,a)].
% 0.78/1.12 110 -one_sorted_str(A) | -net_str(B,A) | rel_str(B) # label(dt_l1_waybel_0) # label(axiom). [clausify(30)].
% 0.78/1.12 111 -rel_str(A) | one_sorted_str(A) # label(dt_l1_orders_2) # label(axiom). [clausify(28)].
% 0.78/1.12 Derived: -one_sorted_str(A) | -net_str(B,A) | one_sorted_str(B). [resolve(110,c,111,a)].
% 0.78/1.12 112 rel_str(c1) # label(existence_l1_orders_2) # label(axiom). [clausify(37)].
% 0.78/1.12 Derived: one_sorted_str(c1). [resolve(112,a,111,a)].
% 0.78/1.12 113 -rel_str(A) | element(the_InternalRel(A),powerset(cartesian_product2(the_carrier(A),the_carrier(A)))). [resolve(105,b,102,a)].
% 0.78/1.12 Derived: element(the_InternalRel(A),powerset(cartesian_product2(the_carrier(A),the_carrier(A)))) | -one_sorted_str(B) | -net_str(A,B). [resolve(113,a,110,c)].
% 0.78/1.12 Derived: element(the_InternalRel(c1),powerset(cartesian_product2(the_carrier(c1),the_carrier(c1)))). [resolve(113,a,112,a)].
% 0.78/1.12 114 relation_of2(the_InternalRel(A),the_carrier(A),the_carrier(A)) | -rel_str(A). [resolve(108,a,105,b)].
% 0.78/1.12 Derived: relation_of2(the_InternalRel(A),the_carrier(A),the_carrier(A)) | -one_sorted_str(B) | -net_str(A,B). [resolve(114,b,110,c)].
% 0.78/1.12 Derived: relation_of2(the_InternalRel(c1),the_carrier(c1),the_carrier(c1)). [resolve(114,b,112,a)].
% 0.78/1.12 115 directed_relstr(c11) # label(t16_waybel_9) # label(negated_conjecture). [clausify(78)].
% 0.78/1.12 116 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)) # label(fc22_waybel_9) # label(axiom). [clausify(47)].
% 0.78/1.12 Derived: empty_carrier(A) | -one_sorted_str(A) | empty_carrier(c11) | -net_str(c11,A) | -element(B,the_carrier(c11)) | -empty_carrier(netstr_restr_to_element(A,c11,B)). [resolve(115,a,116,d)].
% 0.78/1.12 117 element(A,powerset(B)) | -subset(A,B) # label(t3_subset) # label(axiom). [clausify(71)].
% 0.78/1.12 118 subset(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(68)].
% 0.78/1.12 119 -element(A,powerset(B)) | subset(A,B) # label(t3_subset) # label(axiom). [clausify(71)].
% 0.78/1.12 Derived: element(A,powerset(A)). [resolve(117,b,118,a)].
% 0.78/1.12 120 -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)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(E) | -net_str(E,A) | -element(F,the_carrier(E)) | -net_str(net_str_of(A,C,B,D),A) | netstr_restr_to_element(A,E,F) != net_str_of(A,C,B,D) | in(V6,the_carrier(net_str_of(A,C,B,D))) | -element(V7,the_carrier(E)) | V7 != V6 | -related(E,F,V7). [resolve(79,f,84,f)].
% 0.78/1.12 121 -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)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(E) | -net_str(E,A) | -element(F,the_carrier(E)) | -net_str(net_str_of(A,C,B,D),A) | netstr_restr_to_element(A,E,F) != net_str_of(A,C,B,D) | -in(V6,the_carrier(net_str_of(A,C,B,D))) | related(E,F,f1(A,E,F,net_str_of(A,C,B,D),V6)). [resolve(79,f,83,f)].
% 0.78/1.12 Derived: -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)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(E) | -net_str(E,A) | -element(F,the_carrier(E)) | -net_str(net_str_of(A,C,B,D),A) | netstr_restr_to_element(A,E,F) != net_str_of(A,C,B,D) | in(V6,the_carrier(net_str_of(A,C,B,D))) | -element(f1(V7,E,F,net_str_of(V7,V8,V9,V10),V11),the_carrier(E)) | f1(V7,E,F,net_str_of(V7,V8,V9,V10),V11) != V6 | -one_sorted_str(V7) | -relation_of2(V9,V8,V8) | -function(V10) | -quasi_total(V10,V8,the_carrier(V7)) | -relation_of2(V10,V8,the_carrier(V7)) | empty_carrier(V7) | -one_sorted_str(V7) | empty_carrier(E) | -net_str(E,V7) | -element(F,the_carrier(E)) | -net_str(net_str_of(V7,V8,V9,V10),V7) | netstr_restr_to_element(V7,E,F) != net_str_of(V7,V8,V9,V10) | -in(V11,the_carrier(net_str_of(V7,V8,V9,V10))). [resolve(120,p,121,n)].
% 0.78/1.13 122 -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)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(E) | -net_str(E,A) | -element(F,the_carrier(E)) | -net_str(net_str_of(A,C,B,D),A) | netstr_restr_to_element(A,E,F) = net_str_of(A,C,B,D) | in(f2(A,E,F,net_str_of(A,C,B,D)),the_carrier(net_str_of(A,C,B,D))) | related(E,F,f3(A,E,F,net_str_of(A,C,B,D))) | relation_restriction_as_relation_of(the_InternalRel(E),the_carrier(net_str_of(A,C,B,D))) != the_InternalRel(net_str_of(A,C,B,D)) | partfun_dom_restriction(the_carrier(E),the_carrier(A),the_mapping(A,E),the_carrier(net_str_of(A,C,B,D))) != the_mapping(A,net_str_of(A,C,B,D)). [resolve(79,f,89,f)].
% 0.78/1.13 Derived: -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)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(E) | -net_str(E,A) | -element(F,the_carrier(E)) | -net_str(net_str_of(A,C,B,D),A) | netstr_restr_to_element(A,E,F) = net_str_of(A,C,B,D) | in(f2(A,E,F,net_str_of(A,C,B,D)),the_carrier(net_str_of(A,C,B,D))) | relation_restriction_as_relation_of(the_InternalRel(E),the_carrier(net_str_of(A,C,B,D))) != the_InternalRel(net_str_of(A,C,B,D)) | partfun_dom_restriction(the_carrier(E),the_carrier(A),the_mapping(A,E),the_carrier(net_str_of(A,C,B,D))) != the_mapping(A,net_str_of(A,C,B,D)) | -one_sorted_str(V6) | -relation_of2(V7,V8,V8) | -function(V9) | -quasi_total(V9,V8,the_carrier(V6)) | -relation_of2(V9,V8,the_carrier(V6)) | empty_carrier(V6) | -one_sorted_str(V6) | empty_carrier(E) | -net_str(E,V6) | -element(F,the_carrier(E)) | -net_str(net_str_of(V6,V8,V7,V9),V6) | netstr_restr_to_element(V6,E,F) != net_str_of(V6,V8,V7,V9) | in(V10,the_carrier(net_str_of(V6,V8,V7,V9))) | -element(f3(A,E,F,net_str_of(A,C,B,D)),the_carrier(E)) | f3(A,E,F,net_str_of(A,C,B,D)) != V10. [resolve(122,n,120,p)].
% 0.78/1.13 123 -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)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(E) | -net_str(E,A) | -element(F,the_carrier(E)) | -net_str(net_str_of(A,C,B,D),A) | netstr_restr_to_element(A,E,F) = net_str_of(A,C,B,D) | -in(f2(A,E,F,net_str_of(A,C,B,D)),the_carrier(net_str_of(A,C,B,D))) | -element(V6,the_carrier(E)) | V6 != f2(A,E,F,net_str_of(A,C,B,D)) | -related(E,F,V6) | relation_restriction_as_relation_of(the_InternalRel(E),the_carrier(net_str_of(A,C,B,D))) != the_InternalRel(net_str_of(A,C,B,D)) | partfun_dom_restriction(the_carrier(E),the_carrier(A),the_mapping(A,E),the_carrier(net_str_of(A,C,B,D))) != the_mapping(A,net_str_of(A,C,B,D)). [resolve(79,f,90,f)].
% 0.78/1.13 Derived: -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)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(E) | -net_str(E,A) | -element(F,the_carrier(E)) | -net_str(net_str_of(A,C,B,D),A) | netstr_restr_to_element(A,E,F) = net_str_of(A,C,B,D) | -in(f2(A,E,F,net_str_of(A,C,B,D)),the_carrier(net_str_of(A,C,B,D))) | -element(f1(V6,E,F,net_str_of(V6,V7,V8,V9),V10),the_carrier(E)) | f1(V6,E,F,net_str_of(V6,V7,V8,V9),V10) != f2(A,E,F,net_str_of(A,C,B,D)) | relation_restriction_as_relation_of(the_InternalRel(E),the_carrier(net_str_of(A,C,B,D))) != the_InternalRel(net_str_of(A,C,B,D)) | partfun_dom_restriction(the_carrier(E),the_carrier(A),the_mapping(A,E),the_carrier(net_str_of(A,C,B,D))) != the_mapping(A,net_str_of(A,C,B,D)) | -one_sorted_str(V6) | -relation_of2(V8,V7,V7) | -function(V9) | -quasi_total(V9,V7,the_carrier(V6)) | -relation_of2(V9,V7,the_carrier(V6)) | empty_carrier(V6) | -one_sorted_str(V6) | empty_carrier(E) | -net_str(E,V6) | -element(F,the_carrier(E)) | -net_str(net_str_of(V6,V7,V8,V9),V6) | netstr_restr_to_element(V6,E,F) != net_str_of(V6,V7,V8,V9) | -in(V10,the_carrier(net_str_of(V6,V7,V8,V9))). [resolve(123,p,121,n)].
% 0.78/1.16 Derived: -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)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(E) | -net_str(E,A) | -element(F,the_carrier(E)) | -net_str(net_str_of(A,C,B,D),A) | netstr_restr_to_element(A,E,F) = net_str_of(A,C,B,D) | -in(f2(A,E,F,net_str_of(A,C,B,D)),the_carrier(net_str_of(A,C,B,D))) | -element(f3(V6,E,F,net_str_of(V6,V7,V8,V9)),the_carrier(E)) | f3(V6,E,F,net_str_of(V6,V7,V8,V9)) != f2(A,E,F,net_str_of(A,C,B,D)) | relation_restriction_as_relation_of(the_InternalRel(E),the_carrier(net_str_of(A,C,B,D))) != the_InternalRel(net_str_of(A,C,B,D)) | partfun_dom_restriction(the_carrier(E),the_carrier(A),the_mapping(A,E),the_carrier(net_str_of(A,C,B,D))) != the_mapping(A,net_str_of(A,C,B,D)) | -one_sorted_str(V6) | -relation_of2(V8,V7,V7) | -function(V9) | -quasi_total(V9,V7,the_carrier(V6)) | -relation_of2(V9,V7,the_carrier(V6)) | empty_carrier(V6) | -one_sorted_str(V6) | empty_carrier(E) | -net_str(E,V6) | -element(F,the_carrier(E)) | -net_str(net_str_of(V6,V7,V8,V9),V6) | netstr_restr_to_element(V6,E,F) = net_str_of(V6,V7,V8,V9) | in(f2(V6,E,F,net_str_of(V6,V7,V8,V9)),the_carrier(net_str_of(V6,V7,V8,V9))) | relation_restriction_as_relation_of(the_InternalRel(E),the_carrier(net_str_of(V6,V7,V8,V9))) != the_InternalRel(net_str_of(V6,V7,V8,V9)) | partfun_dom_restriction(the_carrier(E),the_carrier(V6),the_mapping(V6,E),the_carrier(net_str_of(V6,V7,V8,V9))) != the_mapping(V6,net_str_of(V6,V7,V8,V9)). [resolve(123,p,122,n)].
% 0.78/1.16 124 empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(D) | -net_str(D,A) | -element(E,the_carrier(D)) | -net_str(netstr_restr_to_element(A,B,C),A) | netstr_restr_to_element(A,D,E) != netstr_restr_to_element(A,B,C) | -in(F,the_carrier(netstr_restr_to_element(A,B,C))) | related(D,E,f1(A,D,E,netstr_restr_to_element(A,B,C),F)). [resolve(91,f,83,f)].
% 0.78/1.16 Derived: empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(D) | -net_str(D,A) | -element(E,the_carrier(D)) | -net_str(netstr_restr_to_element(A,B,C),A) | netstr_restr_to_element(A,D,E) != netstr_restr_to_element(A,B,C) | -in(F,the_carrier(netstr_restr_to_element(A,B,C))) | -one_sorted_str(V6) | -relation_of2(V7,V8,V8) | -function(V9) | -quasi_total(V9,V8,the_carrier(V6)) | -relation_of2(V9,V8,the_carrier(V6)) | empty_carrier(V6) | -one_sorted_str(V6) | empty_carrier(D) | -net_str(D,V6) | -element(E,the_carrier(D)) | -net_str(net_str_of(V6,V8,V7,V9),V6) | netstr_restr_to_element(V6,D,E) != net_str_of(V6,V8,V7,V9) | in(V10,the_carrier(net_str_of(V6,V8,V7,V9))) | -element(f1(A,D,E,netstr_restr_to_element(A,B,C),F),the_carrier(D)) | f1(A,D,E,netstr_restr_to_element(A,B,C),F) != V10. [resolve(124,n,120,p)].
% 0.78/1.16 Derived: empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(D) | -net_str(D,A) | -element(E,the_carrier(D)) | -net_str(netstr_restr_to_element(A,B,C),A) | netstr_restr_to_element(A,D,E) != netstr_restr_to_element(A,B,C) | -in(F,the_carrier(netstr_restr_to_element(A,B,C))) | -one_sorted_str(V6) | -relation_of2(V7,V8,V8) | -function(V9) | -quasi_total(V9,V8,the_carrier(V6)) | -relation_of2(V9,V8,the_carrier(V6)) | empty_carrier(V6) | -one_sorted_str(V6) | empty_carrier(D) | -net_str(D,V6) | -element(E,the_carrier(D)) | -net_str(net_str_of(V6,V8,V7,V9),V6) | netstr_restr_to_element(V6,D,E) = net_str_of(V6,V8,V7,V9) | -in(f2(V6,D,E,net_str_of(V6,V8,V7,V9)),the_carrier(net_str_of(V6,V8,V7,V9))) | -element(f1(A,D,E,netstr_restr_to_element(A,B,C),F),the_carrier(D)) | f1(A,D,E,netstr_restr_to_element(A,B,C),F) != f2(V6,D,E,net_str_of(V6,V8,V7,V9)) | relation_restriction_as_relation_of(the_InternalRel(D),the_carrier(net_str_of(V6,V8,V7,V9))) != the_InternalRel(net_str_of(V6,V8,V7,V9)) | partfun_dom_restriction(the_carrier(D),the_carrier(V6),the_mapping(V6,D),the_carrier(net_str_of(V6,V8,V7,V9))) != the_mapping(V6,net_str_of(V6,V8,V7,V9)). [resolve(124,n,123,p)].
% 0.92/1.19 125 empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(D) | -net_str(D,A) | -element(E,the_carrier(D)) | -net_str(netstr_restr_to_element(A,B,C),A) | netstr_restr_to_element(A,D,E) != netstr_restr_to_element(A,B,C) | in(F,the_carrier(netstr_restr_to_element(A,B,C))) | -element(V6,the_carrier(D)) | V6 != F | -related(D,E,V6). [resolve(91,f,84,f)].
% 0.92/1.19 Derived: empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(D) | -net_str(D,A) | -element(E,the_carrier(D)) | -net_str(netstr_restr_to_element(A,B,C),A) | netstr_restr_to_element(A,D,E) != netstr_restr_to_element(A,B,C) | in(F,the_carrier(netstr_restr_to_element(A,B,C))) | -element(f1(V6,D,E,net_str_of(V6,V7,V8,V9),V10),the_carrier(D)) | f1(V6,D,E,net_str_of(V6,V7,V8,V9),V10) != F | -one_sorted_str(V6) | -relation_of2(V8,V7,V7) | -function(V9) | -quasi_total(V9,V7,the_carrier(V6)) | -relation_of2(V9,V7,the_carrier(V6)) | empty_carrier(V6) | -one_sorted_str(V6) | empty_carrier(D) | -net_str(D,V6) | -element(E,the_carrier(D)) | -net_str(net_str_of(V6,V7,V8,V9),V6) | netstr_restr_to_element(V6,D,E) != net_str_of(V6,V7,V8,V9) | -in(V10,the_carrier(net_str_of(V6,V7,V8,V9))). [resolve(125,p,121,n)].
% 0.92/1.19 Derived: empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(D) | -net_str(D,A) | -element(E,the_carrier(D)) | -net_str(netstr_restr_to_element(A,B,C),A) | netstr_restr_to_element(A,D,E) != netstr_restr_to_element(A,B,C) | in(F,the_carrier(netstr_restr_to_element(A,B,C))) | -element(f3(V6,D,E,net_str_of(V6,V7,V8,V9)),the_carrier(D)) | f3(V6,D,E,net_str_of(V6,V7,V8,V9)) != F | -one_sorted_str(V6) | -relation_of2(V8,V7,V7) | -function(V9) | -quasi_total(V9,V7,the_carrier(V6)) | -relation_of2(V9,V7,the_carrier(V6)) | empty_carrier(V6) | -one_sorted_str(V6) | empty_carrier(D) | -net_str(D,V6) | -element(E,the_carrier(D)) | -net_str(net_str_of(V6,V7,V8,V9),V6) | netstr_restr_to_element(V6,D,E) = net_str_of(V6,V7,V8,V9) | in(f2(V6,D,E,net_str_of(V6,V7,V8,V9)),the_carrier(net_str_of(V6,V7,V8,V9))) | relation_restriction_as_relation_of(the_InternalRel(D),the_carrier(net_str_of(V6,V7,V8,V9))) != the_InternalRel(net_str_of(V6,V7,V8,V9)) | partfun_dom_restriction(the_carrier(D),the_carrier(V6),the_mapping(V6,D),the_carrier(net_str_of(V6,V7,V8,V9))) != the_mapping(V6,net_str_of(V6,V7,V8,V9)). [resolve(125,p,122,n)].
% 0.92/1.19 Derived: empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(D) | -net_str(D,A) | -element(E,the_carrier(D)) | -net_str(netstr_restr_to_element(A,B,C),A) | netstr_restr_to_element(A,D,E) != netstr_restr_to_element(A,B,C) | in(F,the_carrier(netstr_restr_to_element(A,B,C))) | -element(f1(V6,D,E,netstr_restr_to_element(V6,V7,V8),V9),the_carrier(D)) | f1(V6,D,E,netstr_restr_to_element(V6,V7,V8),V9) != F | empty_carrier(V6) | -one_sorted_str(V6) | empty_carrier(V7) | -net_str(V7,V6) | -element(V8,the_carrier(V7)) | empty_carrier(V6) | -one_sorted_str(V6) | empty_carrier(D) | -net_str(D,V6) | -element(E,the_carrier(D)) | -net_str(netstr_restr_to_element(V6,V7,V8),V6) | netstr_restr_to_element(V6,D,E) != netstr_restr_to_element(V6,V7,V8) | -in(V9,the_carrier(netstr_restr_to_element(V6,V7,V8))). [resolve(125,p,124,n)].
% 0.92/1.19 126 empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(D) | -net_str(D,A) | -element(E,the_carrier(D)) | -net_str(netstr_restr_to_element(A,B,C),A) | netstr_restr_to_element(A,D,E) = netstr_restr_to_element(A,B,C) | in(f2(A,D,E,netstr_restr_to_element(A,B,C)),the_carrier(netstr_restr_to_element(A,B,C))) | related(D,E,f3(A,D,E,netstr_restr_to_element(A,B,C))) | relation_restriction_as_relation_of(the_InternalRel(D),the_carrier(netstr_restr_to_element(A,B,C))) != the_InternalRel(netstr_restr_to_element(A,B,C)) | partfun_dom_restriction(the_carrier(D),the_carrier(A),the_mapping(A,D),the_carrier(netstr_restr_to_element(A,B,C))) != the_mapping(A,netstr_restr_to_element(A,B,C)). [resolve(91,f,89,f)].
% 0.95/1.22 Derived: empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(D) | -net_str(D,A) | -element(E,the_carrier(D)) | -net_str(netstr_restr_to_element(A,B,C),A) | netstr_restr_to_element(A,D,E) = netstr_restr_to_element(A,B,C) | in(f2(A,D,E,netstr_restr_to_element(A,B,C)),the_carrier(netstr_restr_to_element(A,B,C))) | relation_restriction_as_relation_of(the_InternalRel(D),the_carrier(netstr_restr_to_element(A,B,C))) != the_InternalRel(netstr_restr_to_element(A,B,C)) | partfun_dom_restriction(the_carrier(D),the_carrier(A),the_mapping(A,D),the_carrier(netstr_restr_to_element(A,B,C))) != the_mapping(A,netstr_restr_to_element(A,B,C)) | -one_sorted_str(F) | -relation_of2(V6,V7,V7) | -function(V8) | -quasi_total(V8,V7,the_carrier(F)) | -relation_of2(V8,V7,the_carrier(F)) | empty_carrier(F) | -one_sorted_str(F) | empty_carrier(D) | -net_str(D,F) | -element(E,the_carrier(D)) | -net_str(net_str_of(F,V7,V6,V8),F) | netstr_restr_to_element(F,D,E) != net_str_of(F,V7,V6,V8) | in(V9,the_carrier(net_str_of(F,V7,V6,V8))) | -element(f3(A,D,E,netstr_restr_to_element(A,B,C)),the_carrier(D)) | f3(A,D,E,netstr_restr_to_element(A,B,C)) != V9. [resolve(126,n,120,p)].
% 0.95/1.22 Derived: empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(D) | -net_str(D,A) | -element(E,the_carrier(D)) | -net_str(netstr_restr_to_element(A,B,C),A) | netstr_restr_to_element(A,D,E) = netstr_restr_to_element(A,B,C) | in(f2(A,D,E,netstr_restr_to_element(A,B,C)),the_carrier(netstr_restr_to_element(A,B,C))) | relation_restriction_as_relation_of(the_InternalRel(D),the_carrier(netstr_restr_to_element(A,B,C))) != the_InternalRel(netstr_restr_to_element(A,B,C)) | partfun_dom_restriction(the_carrier(D),the_carrier(A),the_mapping(A,D),the_carrier(netstr_restr_to_element(A,B,C))) != the_mapping(A,netstr_restr_to_element(A,B,C)) | -one_sorted_str(F) | -relation_of2(V6,V7,V7) | -function(V8) | -quasi_total(V8,V7,the_carrier(F)) | -relation_of2(V8,V7,the_carrier(F)) | empty_carrier(F) | -one_sorted_str(F) | empty_carrier(D) | -net_str(D,F) | -element(E,the_carrier(D)) | -net_str(net_str_of(F,V7,V6,V8),F) | netstr_restr_to_element(F,D,E) = net_str_of(F,V7,V6,V8) | -in(f2(F,D,E,net_str_of(F,V7,V6,V8)),the_carrier(net_str_of(F,V7,V6,V8))) | -element(f3(A,D,E,netstr_restr_to_element(A,B,C)),the_carrier(D)) | f3(A,D,E,netstr_restr_to_element(A,B,C)) != f2(F,D,E,net_str_of(F,V7,V6,V8)) | relation_restriction_as_relation_of(the_InternalRel(D),the_carrier(net_str_of(F,V7,V6,V8))) != the_InternalRel(net_str_of(F,V7,V6,V8)) | partfun_dom_restriction(the_carrier(D),the_carrier(F),the_mapping(F,D),the_carrier(net_str_of(F,V7,V6,V8))) != the_mapping(F,net_str_of(F,V7,V6,V8)). [resolve(126,n,123,p)].
% 0.95/1.22 Derived: empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(D) | -net_str(D,A) | -element(E,the_carrier(D)) | -net_str(netstr_restr_to_element(A,B,C),A) | netstr_restr_to_element(A,D,E) = netstr_restr_to_element(A,B,C) | in(f2(A,D,E,netstr_restr_to_element(A,B,C)),the_carrier(netstr_restr_to_element(A,B,C))) | relation_restriction_as_relation_of(the_InternalRel(D),the_carrier(netstr_restr_to_element(A,B,C))) != the_InternalRel(netstr_restr_to_element(A,B,C)) | partfun_dom_restriction(the_carrier(D),the_carrier(A),the_mapping(A,D),the_carrier(netstr_restr_to_element(A,B,C))) != the_mapping(A,netstr_restr_to_element(A,B,C)) | empty_carrier(F) | -one_sorted_str(F) | empty_carrier(V6) | -net_str(V6,F) | -element(V7,the_carrier(V6)) | empty_carrier(F) | -one_sorted_str(F) | empty_carrier(D) | -net_str(D,F) | -element(E,the_carrier(D)) | -net_str(netstr_restr_to_element(F,V6,V7),F) | netstr_restr_to_element(F,D,E) != netstr_restr_to_element(F,V6,V7) | in(V8,the_carrier(netstr_restr_to_element(F,V6,V7))) | -element(f3(A,D,E,netstr_restr_to_element(A,B,C)),the_carrier(D)) | f3(A,D,E,netstr_restr_to_element(A,B,C)) != V8. [resolve(126,n,125,p)].
% 0.96/1.23 127 empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(D) | -net_str(D,A) | -element(E,the_carrier(D)) | -net_str(netstr_restr_to_element(A,B,C),A) | netstr_restr_to_element(A,D,E) = netstr_restr_to_element(A,B,C) | -in(f2(A,D,E,netstr_restr_to_element(A,B,C)),the_carrier(netstr_restr_to_element(A,B,C))) | -element(F,the_carrier(D)) | F != f2(A,D,E,netstr_restr_to_element(A,B,C)) | -related(D,E,F) | relation_restriction_as_relation_of(the_InternalRel(D),the_carrier(netstr_restr_to_element(A,B,C))) != the_InternalRel(netstr_restr_to_element(A,B,C)) | partfun_dom_restriction(the_carrier(D),the_carrier(A),the_mapping(A,D),the_carrier(netstr_restr_to_element(A,B,C))) != the_mapping(A,netstr_restr_to_element(A,B,C)). [resolve(91,f,90,f)].
% 0.96/1.23 Derived: empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(D) | -net_str(D,A) | -element(E,the_carrier(D)) | -net_str(netstr_restr_to_element(A,B,C),A) | netstr_restr_to_element(A,D,E) = netstr_restr_to_element(A,B,C) | -in(f2(A,D,E,netstr_restr_to_element(A,B,C)),the_carrier(netstr_restr_to_element(A,B,C))) | -element(f1(F,D,E,net_str_of(F,V6,V7,V8),V9),the_carrier(D)) | f1(F,D,E,net_str_of(F,V6,V7,V8),V9) != f2(A,D,E,netstr_restr_to_element(A,B,C)) | relation_restriction_as_relation_of(the_InternalRel(D),the_carrier(netstr_restr_to_element(A,B,C))) != the_InternalRel(netstr_restr_to_element(A,B,C)) | partfun_dom_restriction(the_carrier(D),the_carrier(A),the_mapping(A,D),the_carrier(netstr_restr_to_element(A,B,C))) != the_mapping(A,netstr_restr_to_element(A,B,C)) | -one_sorted_str(F) | -relation_of2(V7,V6,V6) | -function(V8) | -quasi_total(V8,V6,the_carrier(F)) | -relation_of2(V8,V6,the_carrier(F)) | empty_carrier(F) | -one_sorted_str(F) | empty_carrier(D) | -net_str(D,F) | -element(E,the_carrier(D)) | -net_str(net_str_of(F,V6,V7,V8),F) | netstr_restr_to_element(F,D,E) != net_str_of(F,V6,V7,V8) | -in(V9,the_carrier(net_str_of(F,V6,V7,V8))). [resolve(127,p,121,n)].
% 0.96/1.23 Derived: empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(D) | -net_str(D,A) | -element(E,the_carrier(D)) | -net_str(netstr_restr_to_element(A,B,C),A) | netstr_restr_to_element(A,D,E) = netstr_restr_to_element(A,B,C) | -in(f2(A,D,E,netstr_restr_to_element(A,B,C)),the_carrier(netstr_restr_to_element(A,B,C))) | -element(f3(F,D,E,net_str_of(F,V6,V7,V8)),the_carrier(D)) | f3(F,D,E,net_str_of(F,V6,V7,V8)) != f2(A,D,E,netstr_restr_to_element(A,B,C)) | relation_restriction_as_relation_of(the_InternalRel(D),the_carrier(netstr_restr_to_element(A,B,C))) != the_InternalRel(netstr_restr_to_element(A,B,C)) | partfun_dom_restriction(the_carrier(D),the_carrier(A),the_mapping(A,D),the_carrier(netstr_restr_to_element(A,B,C))) != the_mapping(A,netstr_restr_to_element(A,B,C)) | -one_sorted_str(F) | -relation_of2(V7,V6,V6) | -function(V8) | -quasi_total(V8,V6,the_carrier(F)) | -relation_of2(V8,V6,the_carrier(F)) | empty_carrier(F) | -one_sorted_str(F) | empty_carrier(D) | -net_str(D,F) | -element(E,the_carrier(D)) | -net_str(net_str_of(F,V6,V7,V8),F) | netstr_restr_to_element(F,D,E) = net_str_of(F,V6,V7,V8) | in(f2(F,D,E,net_str_of(F,V6,V7,V8)),the_carrier(net_str_of(F,V6,V7,V8))) | relation_restriction_as_relation_of(the_InternalRel(D),the_carrier(net_str_of(F,V6,V7,V8))) != the_InternalRel(net_str_of(F,V6,V7,V8)) | partfun_dom_restriction(the_carrier(D),the_carrier(F),the_mapping(F,D),the_carrier(net_str_of(F,V6,V7,V8))) != the_mapping(F,net_str_of(F,V6,V7,V8)). [resolve(127,p,122,n)].
% 0.96/1.31 Derived: empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(D) | -net_str(D,A) | -element(E,the_carrier(D)) | -net_str(netstr_restr_to_element(A,B,C),A) | netstr_restr_to_element(A,D,E) = netstr_restr_to_element(A,B,C) | -in(f2(A,D,E,netstr_restr_to_element(A,B,C)),the_carrier(netstr_restr_to_element(A,B,C))) | -element(f1(F,D,E,netstr_restr_to_element(F,V6,V7),V8),the_carrier(D)) | f1(F,D,E,netstr_restr_to_element(F,V6,V7),V8) != f2(A,D,E,netstr_restr_to_element(A,B,C)) | relation_restriction_as_relation_of(the_InternalRel(D),the_carrier(netstr_restr_to_element(A,B,C))) != the_InternalRel(netstr_restr_to_element(A,B,C)) | partfun_dom_restriction(the_carrier(D),the_carrier(A),the_mapping(A,D),the_carrier(netstr_restr_to_element(A,B,C))) != the_mapping(A,netstr_restr_to_element(A,B,C)) | empty_carrier(F) | -one_sorted_str(F) | empty_carrier(V6) | -net_str(V6,F) | -element(V7,the_carrier(V6)) | empty_carrier(F) | -one_sorted_str(F) | empty_carrier(D) | -net_str(D,F) | -element(E,the_carrier(D)) | -net_str(netstr_restr_to_element(F,V6,V7),F) | netstr_restr_to_element(F,D,E) != netstr_restr_to_element(F,V6,V7) | -in(V8,the_carrier(netstr_restr_to_element(F,V6,V7))). [resolve(127,p,124,n)].
% 0.96/1.31 Derived: empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(D) | -net_str(D,A) | -element(E,the_carrier(D)) | -net_str(netstr_restr_to_element(A,B,C),A) | netstr_restr_to_element(A,D,E) = netstr_restr_to_element(A,B,C) | -in(f2(A,D,E,netstr_restr_to_element(A,B,C)),the_carrier(netstr_restr_to_element(A,B,C))) | -element(f3(F,D,E,netstr_restr_to_element(F,V6,V7)),the_carrier(D)) | f3(F,D,E,netstr_restr_to_element(F,V6,V7)) != f2(A,D,E,netstr_restr_to_element(A,B,C)) | relation_restriction_as_relation_of(the_InternalRel(D),the_carrier(netstr_restr_to_element(A,B,C))) != the_InternalRel(netstr_restr_to_element(A,B,C)) | partfun_dom_restriction(the_carrier(D),the_carrier(A),the_mapping(A,D),the_carrier(netstr_restr_to_element(A,B,C))) != the_mapping(A,netstr_restr_to_element(A,B,C)) | empty_carrier(F) | -one_sorted_str(F) | empty_carrier(V6) | -net_str(V6,F) | -element(V7,the_carrier(V6)) | empty_carrier(F) | -one_sorted_str(F) | empty_carrier(D) | -net_str(D,F) | -element(E,the_carrier(D)) | -net_str(netstr_restr_to_element(F,V6,V7),F) | netstr_restr_to_element(F,D,E) = netstr_restr_to_element(F,V6,V7) | in(f2(F,D,E,netstr_restr_to_element(F,V6,V7)),the_carrier(netstr_restr_to_element(F,V6,V7))) | relation_restriction_as_relation_of(the_InternalRel(D),the_carrier(netstr_restr_to_element(F,V6,V7))) != the_InternalRel(netstr_restr_to_element(F,V6,V7)) | partfun_dom_restriction(the_carrier(D),the_carrier(F),the_mapping(F,D),the_carrier(netstr_restr_to_element(F,V6,V7))) != the_mapping(F,netstr_restr_to_element(F,V6,V7)). [resolve(127,p,126,n)].
% 0.96/1.31 128 -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) != f11(A) | -in(D,the_carrier(f11(A))) | related(B,C,f1(A,B,C,f11(A),D)). [resolve(94,b,83,f)].
% 0.96/1.31 Derived: -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) != f11(A) | -in(D,the_carrier(f11(A))) | -one_sorted_str(E) | -relation_of2(F,V6,V6) | -function(V7) | -quasi_total(V7,V6,the_carrier(E)) | -relation_of2(V7,V6,the_carrier(E)) | empty_carrier(E) | -one_sorted_str(E) | empty_carrier(B) | -net_str(B,E) | -element(C,the_carrier(B)) | -net_str(net_str_of(E,V6,F,V7),E) | netstr_restr_to_element(E,B,C) != net_str_of(E,V6,F,V7) | in(V8,the_carrier(net_str_of(E,V6,F,V7))) | -element(f1(A,B,C,f11(A),D),the_carrier(B)) | f1(A,B,C,f11(A),D) != V8. [resolve(128,j,120,p)].
% 1.05/1.34 Derived: -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) != f11(A) | -in(D,the_carrier(f11(A))) | -one_sorted_str(E) | -relation_of2(F,V6,V6) | -function(V7) | -quasi_total(V7,V6,the_carrier(E)) | -relation_of2(V7,V6,the_carrier(E)) | empty_carrier(E) | -one_sorted_str(E) | empty_carrier(B) | -net_str(B,E) | -element(C,the_carrier(B)) | -net_str(net_str_of(E,V6,F,V7),E) | netstr_restr_to_element(E,B,C) = net_str_of(E,V6,F,V7) | -in(f2(E,B,C,net_str_of(E,V6,F,V7)),the_carrier(net_str_of(E,V6,F,V7))) | -element(f1(A,B,C,f11(A),D),the_carrier(B)) | f1(A,B,C,f11(A),D) != f2(E,B,C,net_str_of(E,V6,F,V7)) | relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(net_str_of(E,V6,F,V7))) != the_InternalRel(net_str_of(E,V6,F,V7)) | partfun_dom_restriction(the_carrier(B),the_carrier(E),the_mapping(E,B),the_carrier(net_str_of(E,V6,F,V7))) != the_mapping(E,net_str_of(E,V6,F,V7)). [resolve(128,j,123,p)].
% 1.05/1.34 Derived: -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) != f11(A) | -in(D,the_carrier(f11(A))) | empty_carrier(E) | -one_sorted_str(E) | empty_carrier(F) | -net_str(F,E) | -element(V6,the_carrier(F)) | empty_carrier(E) | -one_sorted_str(E) | empty_carrier(B) | -net_str(B,E) | -element(C,the_carrier(B)) | -net_str(netstr_restr_to_element(E,F,V6),E) | netstr_restr_to_element(E,B,C) != netstr_restr_to_element(E,F,V6) | in(V7,the_carrier(netstr_restr_to_element(E,F,V6))) | -element(f1(A,B,C,f11(A),D),the_carrier(B)) | f1(A,B,C,f11(A),D) != V7. [resolve(128,j,125,p)].
% 1.05/1.34 Derived: -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) != f11(A) | -in(D,the_carrier(f11(A))) | empty_carrier(E) | -one_sorted_str(E) | empty_carrier(F) | -net_str(F,E) | -element(V6,the_carrier(F)) | empty_carrier(E) | -one_sorted_str(E) | empty_carrier(B) | -net_str(B,E) | -element(C,the_carrier(B)) | -net_str(netstr_restr_to_element(E,F,V6),E) | netstr_restr_to_element(E,B,C) = netstr_restr_to_element(E,F,V6) | -in(f2(E,B,C,netstr_restr_to_element(E,F,V6)),the_carrier(netstr_restr_to_element(E,F,V6))) | -element(f1(A,B,C,f11(A),D),the_carrier(B)) | f1(A,B,C,f11(A),D) != f2(E,B,C,netstr_restr_to_element(E,F,V6)) | relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(netstr_restr_to_element(E,F,V6))) != the_InternalRel(netstr_restr_to_element(E,F,V6)) | partfun_dom_restriction(the_carrier(B),the_carrier(E),the_mapping(E,B),the_carrier(netstr_restr_to_element(E,F,V6))) != the_mapping(E,netstr_restr_to_element(E,F,V6)). [resolve(128,j,127,p)].
% 1.05/1.34 129 -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) != f11(A) | in(D,the_carrier(f11(A))) | -element(E,the_carrier(B)) | E != D | -related(B,C,E). [resolve(94,b,84,f)].
% 1.05/1.34 Derived: -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) != f11(A) | in(D,the_carrier(f11(A))) | -element(f1(E,B,C,net_str_of(E,F,V6,V7),V8),the_carrier(B)) | f1(E,B,C,net_str_of(E,F,V6,V7),V8) != D | -one_sorted_str(E) | -relation_of2(V6,F,F) | -function(V7) | -quasi_total(V7,F,the_carrier(E)) | -relation_of2(V7,F,the_carrier(E)) | empty_carrier(E) | -one_sorted_str(E) | empty_carrier(B) | -net_str(B,E) | -element(C,the_carrier(B)) | -net_str(net_str_of(E,F,V6,V7),E) | netstr_restr_to_element(E,B,C) != net_str_of(E,F,V6,V7) | -in(V8,the_carrier(net_str_of(E,F,V6,V7))). [resolve(129,l,121,n)].
% 1.12/1.39 Derived: -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) != f11(A) | in(D,the_carrier(f11(A))) | -element(f3(E,B,C,net_str_of(E,F,V6,V7)),the_carrier(B)) | f3(E,B,C,net_str_of(E,F,V6,V7)) != D | -one_sorted_str(E) | -relation_of2(V6,F,F) | -function(V7) | -quasi_total(V7,F,the_carrier(E)) | -relation_of2(V7,F,the_carrier(E)) | empty_carrier(E) | -one_sorted_str(E) | empty_carrier(B) | -net_str(B,E) | -element(C,the_carrier(B)) | -net_str(net_str_of(E,F,V6,V7),E) | netstr_restr_to_element(E,B,C) = net_str_of(E,F,V6,V7) | in(f2(E,B,C,net_str_of(E,F,V6,V7)),the_carrier(net_str_of(E,F,V6,V7))) | relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(net_str_of(E,F,V6,V7))) != the_InternalRel(net_str_of(E,F,V6,V7)) | partfun_dom_restriction(the_carrier(B),the_carrier(E),the_mapping(E,B),the_carrier(net_str_of(E,F,V6,V7))) != the_mapping(E,net_str_of(E,F,V6,V7)). [resolve(129,l,122,n)].
% 1.12/1.39 Derived: -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) != f11(A) | in(D,the_carrier(f11(A))) | -element(f1(E,B,C,netstr_restr_to_element(E,F,V6),V7),the_carrier(B)) | f1(E,B,C,netstr_restr_to_element(E,F,V6),V7) != D | empty_carrier(E) | -one_sorted_str(E) | empty_carrier(F) | -net_str(F,E) | -element(V6,the_carrier(F)) | empty_carrier(E) | -one_sorted_str(E) | empty_carrier(B) | -net_str(B,E) | -element(C,the_carrier(B)) | -net_str(netstr_restr_to_element(E,F,V6),E) | netstr_restr_to_element(E,B,C) != netstr_restr_to_element(E,F,V6) | -in(V7,the_carrier(netstr_restr_to_element(E,F,V6))). [resolve(129,l,124,n)].
% 1.12/1.39 Derived: -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) != f11(A) | in(D,the_carrier(f11(A))) | -element(f3(E,B,C,netstr_restr_to_element(E,F,V6)),the_carrier(B)) | f3(E,B,C,netstr_restr_to_element(E,F,V6)) != D | empty_carrier(E) | -one_sorted_str(E) | empty_carrier(F) | -net_str(F,E) | -element(V6,the_carrier(F)) | empty_carrier(E) | -one_sorted_str(E) | empty_carrier(B) | -net_str(B,E) | -element(C,the_carrier(B)) | -net_str(netstr_restr_to_element(E,F,V6),E) | netstr_restr_to_element(E,B,C) = netstr_restr_to_element(E,F,V6) | in(f2(E,B,C,netstr_restr_to_element(E,F,V6)),the_carrier(netstr_restr_to_element(E,F,V6))) | relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(netstr_restr_to_element(E,F,V6))) != the_InternalRel(netstr_restr_to_element(E,F,V6)) | partfun_dom_restriction(the_carrier(B),the_carrier(E),the_mapping(E,B),the_carrier(netstr_restr_to_element(E,F,V6))) != the_mapping(E,netstr_restr_to_element(E,F,V6)). [resolve(129,l,126,n)].
% 1.12/1.39 Derived: -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) != f11(A) | in(D,the_carrier(f11(A))) | -element(f1(E,B,C,f11(E),F),the_carrier(B)) | f1(E,B,C,f11(E),F) != D | -one_sorted_str(E) | empty_carrier(E) | -one_sorted_str(E) | empty_carrier(B) | -net_str(B,E) | -element(C,the_carrier(B)) | -net_str(f11(E),E) | netstr_restr_to_element(E,B,C) != f11(E) | -in(F,the_carrier(f11(E))). [resolve(129,l,128,j)].
% 1.12/1.39 130 -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) = f11(A) | in(f2(A,B,C,f11(A)),the_carrier(f11(A))) | related(B,C,f3(A,B,C,f11(A))) | relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(f11(A))) != the_InternalRel(f11(A)) | partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(f11(A))) != the_mapping(A,f11(A)). [resolve(94,b,89,f)].
% 1.12/1.39 Derived: -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) = f11(A) | in(f2(A,B,C,f11(A)),the_carrier(f11(A))) | relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(f11(A))) != the_InternalRel(f11(A)) | partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(f11(A))) != the_mapping(A,f11(A)) | -one_sorted_str(D) | -relation_of2(E,F,F) | -function(V6) | -quasi_total(V6,F,the_carrier(D)) | -relation_of2(V6,F,the_carrier(D)) | empty_carrier(D) | -one_sorted_str(D) | empty_carrier(B) | -net_str(B,D) | -element(C,the_carrier(B)) | -net_str(net_str_of(D,F,E,V6),D) | netstr_restr_to_element(D,B,C) != net_str_of(D,F,E,V6) | in(V7,the_carrier(net_str_of(D,F,E,V6))) | -element(f3(A,B,C,f11(A)),the_carrier(B)) | f3(A,B,C,f11(A)) != V7. [resolve(130,j,120,p)].
% 1.12/1.41 Derived: -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) = f11(A) | in(f2(A,B,C,f11(A)),the_carrier(f11(A))) | relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(f11(A))) != the_InternalRel(f11(A)) | partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(f11(A))) != the_mapping(A,f11(A)) | -one_sorted_str(D) | -relation_of2(E,F,F) | -function(V6) | -quasi_total(V6,F,the_carrier(D)) | -relation_of2(V6,F,the_carrier(D)) | empty_carrier(D) | -one_sorted_str(D) | empty_carrier(B) | -net_str(B,D) | -element(C,the_carrier(B)) | -net_str(net_str_of(D,F,E,V6),D) | netstr_restr_to_element(D,B,C) = net_str_of(D,F,E,V6) | -in(f2(D,B,C,net_str_of(D,F,E,V6)),the_carrier(net_str_of(D,F,E,V6))) | -element(f3(A,B,C,f11(A)),the_carrier(B)) | f3(A,B,C,f11(A)) != f2(D,B,C,net_str_of(D,F,E,V6)) | relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(net_str_of(D,F,E,V6))) != the_InternalRel(net_str_of(D,F,E,V6)) | partfun_dom_restriction(the_carrier(B),the_carrier(D),the_mapping(D,B),the_carrier(net_str_of(D,F,E,V6))) != the_mapping(D,net_str_of(D,F,E,V6)). [resolve(130,j,123,p)].
% 1.12/1.41 Derived: -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) = f11(A) | in(f2(A,B,C,f11(A)),the_carrier(f11(A))) | relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(f11(A))) != the_InternalRel(f11(A)) | partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(f11(A))) != the_mapping(A,f11(A)) | empty_carrier(D) | -one_sorted_str(D) | empty_carrier(E) | -net_str(E,D) | -element(F,the_carrier(E)) | empty_carrier(D) | -one_sorted_str(D) | empty_carrier(B) | -net_str(B,D) | -element(C,the_carrier(B)) | -net_str(netstr_restr_to_element(D,E,F),D) | netstr_restr_to_element(D,B,C) != netstr_restr_to_element(D,E,F) | in(V6,the_carrier(netstr_restr_to_element(D,E,F))) | -element(f3(A,B,C,f11(A)),the_carrier(B)) | f3(A,B,C,f11(A)) != V6. [resolve(130,j,125,p)].
% 1.12/1.41 Derived: -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) = f11(A) | in(f2(A,B,C,f11(A)),the_carrier(f11(A))) | relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(f11(A))) != the_InternalRel(f11(A)) | partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(f11(A))) != the_mapping(A,f11(A)) | empty_carrier(D) | -one_sorted_str(D) | empty_carrier(E) | -net_str(E,D) | -element(F,the_carrier(E)) | empty_carrier(D) | -one_sorted_str(D) | empty_carrier(B) | -net_str(B,D) | -element(C,the_carrier(B)) | -net_str(netstr_restr_to_element(D,E,F),D) | netstr_restr_to_element(D,B,C) = netstr_restr_to_element(D,E,F) | -in(f2(D,B,C,netstr_restr_to_element(D,E,F)),the_carrier(netstr_restr_to_element(D,E,F))) | -element(f3(A,B,C,f11(A)),the_carrier(B)) | f3(A,B,C,f11(A)) != f2(D,B,C,netstr_restr_to_element(D,E,F)) | relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(netstr_restr_to_element(D,E,F))) != the_InternalRel(netstr_restr_to_element(D,E,F)) | partfun_dom_restriction(the_carrier(B),the_carrier(D),the_mapping(D,B),the_carrier(netstr_restr_to_element(D,E,F))) != the_mapping(D,netstr_restr_to_element(D,E,F)). [resolve(130,j,127,p)].
% 1.12/1.43 Derived: -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) = f11(A) | in(f2(A,B,C,f11(A)),the_carrier(f11(A))) | relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(f11(A))) != the_InternalRel(f11(A)) | partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(f11(A))) != the_mapping(A,f11(A)) | -one_sorted_str(D) | empty_carrier(D) | -one_sorted_str(D) | empty_carrier(B) | -net_str(B,D) | -element(C,the_carrier(B)) | -net_str(f11(D),D) | netstr_restr_to_element(D,B,C) != f11(D) | in(E,the_carrier(f11(D))) | -element(f3(A,B,C,f11(A)),the_carrier(B)) | f3(A,B,C,f11(A)) != E. [resolve(130,j,129,l)].
% 1.12/1.43 131 -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) = f11(A) | -in(f2(A,B,C,f11(A)),the_carrier(f11(A))) | -element(D,the_carrier(B)) | D != f2(A,B,C,f11(A)) | -related(B,C,D) | relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(f11(A))) != the_InternalRel(f11(A)) | partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(f11(A))) != the_mapping(A,f11(A)). [resolve(94,b,90,f)].
% 1.12/1.43 Derived: -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) = f11(A) | -in(f2(A,B,C,f11(A)),the_carrier(f11(A))) | -element(f1(D,B,C,net_str_of(D,E,F,V6),V7),the_carrier(B)) | f1(D,B,C,net_str_of(D,E,F,V6),V7) != f2(A,B,C,f11(A)) | relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(f11(A))) != the_InternalRel(f11(A)) | partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(f11(A))) != the_mapping(A,f11(A)) | -one_sorted_str(D) | -relation_of2(F,E,E) | -function(V6) | -quasi_total(V6,E,the_carrier(D)) | -relation_of2(V6,E,the_carrier(D)) | empty_carrier(D) | -one_sorted_str(D) | empty_carrier(B) | -net_str(B,D) | -element(C,the_carrier(B)) | -net_str(net_str_of(D,E,F,V6),D) | netstr_restr_to_element(D,B,C) != net_str_of(D,E,F,V6) | -in(V7,the_carrier(net_str_of(D,E,F,V6))). [resolve(131,l,121,n)].
% 1.12/1.43 Derived: -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) = f11(A) | -in(f2(A,B,C,f11(A)),the_carrier(f11(A))) | -element(f3(D,B,C,net_str_of(D,E,F,V6)),the_carrier(B)) | f3(D,B,C,net_str_of(D,E,F,V6)) != f2(A,B,C,f11(A)) | relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(f11(A))) != the_InternalRel(f11(A)) | partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(f11(A))) != the_mapping(A,f11(A)) | -one_sorted_str(D) | -relation_of2(F,E,E) | -function(V6) | -quasi_total(V6,E,the_carrier(D)) | -relation_of2(V6,E,the_carrier(D)) | empty_carrier(D) | -one_sorted_str(D) | empty_carrier(B) | -net_str(B,D) | -element(C,the_carrier(B)) | -net_str(net_str_of(D,E,F,V6),D) | netstr_restr_to_element(D,B,C) = net_str_of(D,E,F,V6) | in(f2(D,B,C,net_str_of(D,E,F,V6)),the_carrier(net_str_of(D,E,F,V6))) | relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(net_str_of(D,E,F,V6))) != the_InternalRel(net_str_of(D,E,F,V6)) | partfun_dom_restriction(the_carrier(B),the_carrier(D),the_mapping(D,B),the_carrier(net_str_of(D,E,F,V6))) != the_mapping(D,net_str_of(D,E,F,V6)). [resolve(131,l,122,n)].
% 1.12/1.43 Derived: -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) = f11(A) | -in(f2(A,B,C,f11(A)),the_carrier(f11(A))) | -element(f1(D,B,C,netstr_restr_to_element(D,E,F),V6),the_carrier(B)) | f1(D,B,C,netstr_restr_to_element(D,E,F),V6) != f2(A,B,C,f11(A)) | relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(f11(A))) != the_InternalRel(f11(A)) | partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(f11(A))) != the_mapping(A,f11(A)) | empty_carrier(D) | -one_sorted_str(D) | empty_carrier(E) | -net_str(E,D) | -element(F,the_carrier(E)) | empty_carrier(D) | -one_sorted_str(D) | empty_carrier(B) | -net_str(B,D) | -element(C,the_carrier(B)) | -net_str(netstr_restr_to_element(D,E,F),D) | netstr_restr_to_element(D,B,C) != netstr_restr_to_element(D,E,F) | -in(V6,the_carrier(netstr_restr_to_element(D,E,F))). [resolve(131,l,124,n)].
% 4.23/4.52 Derived: -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) = f11(A) | -in(f2(A,B,C,f11(A)),the_carrier(f11(A))) | -element(f3(D,B,C,netstr_restr_to_element(D,E,F)),the_carrier(B)) | f3(D,B,C,netstr_restr_to_element(D,E,F)) != f2(A,B,C,f11(A)) | relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(f11(A))) != the_InternalRel(f11(A)) | partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(f11(A))) != the_mapping(A,f11(A)) | empty_carrier(D) | -one_sorted_str(D) | empty_carrier(E) | -net_str(E,D) | -element(F,the_carrier(E)) | empty_carrier(D) | -one_sorted_str(D) | empty_carrier(B) | -net_str(B,D) | -element(C,the_carrier(B)) | -net_str(netstr_restr_to_element(D,E,F),D) | netstr_restr_to_element(D,B,C) = netstr_restr_to_element(D,E,F) | in(f2(D,B,C,netstr_restr_to_element(D,E,F)),the_carrier(netstr_restr_to_element(D,E,F))) | relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(netstr_restr_to_element(D,E,F))) != the_InternalRel(netstr_restr_to_element(D,E,F)) | partfun_dom_restriction(the_carrier(B),the_carrier(D),the_mapping(D,B),the_carrier(netstr_restr_to_element(D,E,F))) != the_mapping(D,netstr_restr_to_element(D,E,F)). [resolve(131,l,126,n)].
% 4.23/4.52 Derived: -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) = f11(A) | -in(f2(A,B,C,f11(A)),the_carrier(f11(A))) | -element(f1(D,B,C,f11(D),E),the_carrier(B)) | f1(D,B,C,f11(D),E) != f2(A,B,C,f11(A)) | relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(f11(A))) != the_InternalRel(f11(A)) | partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(f11(A))) != the_mapping(A,f11(A)) | -one_sorted_str(D) | empty_carrier(D) | -one_sorted_str(D) | empty_carrier(B) | -net_str(B,D) | -element(C,the_carrier(B)) | -net_str(f11(D),D) | netstr_restr_to_element(D,B,C) != f11(D) | -in(E,the_carrier(f11(D))). [resolve(131,l,128,j)].
% 4.23/4.52 Derived: -one_sorted_str(A) | empty_carrier(A) | -one_sorted_str(A) | empty_carrier(B) | -net_str(B,A) | -element(C,the_carrier(B)) | -net_str(f11(A),A) | netstr_restr_to_element(A,B,C) = f11(A) | -in(f2(A,B,C,f11(A)),the_carrier(f11(A))) | -element(f3(D,B,C,f11(D)),the_carrier(B)) | f3(D,B,C,f11(D)) != f2(A,B,C,f11(A)) | relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(f11(A))) != the_InternalRel(f11(A)) | partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(f11(A))) != the_mapping(A,f11(A)) | -one_sorted_str(D) | empty_carrier(D) | -one_sorted_str(D) | empty_carrier(B) | -net_str(B,D) | -element(C,the_carrier(B)) | -net_str(f11(D),D) | netstr_restr_to_element(D,B,C) = f11(D) | in(f2(D,B,C,f11(D)),the_carrier(f11(D))) | relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(f11(D))) != the_InternalRel(f11(D)) | partfun_dom_restriction(the_carrier(B),the_carrier(D),the_mapping(D,B),the_carrier(f11(D))) != the_mapping(D,f11(D)). [resolve(131,l,130,j)].
% 4.23/4.52
% 4.23/4.52 ============================== end predicate elimination =============
% 4.23/4.52
% 4.23/4.52 Auto_denials: (non-Horn, no changes).
% 4.23/4.52
% 4.23/4.52 Term ordering decisions:
% 4.23/4.52 Function symbol Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------