%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SEU386+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n029.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 10:27:56 EDT 2022
% Result : Theorem 7.43s 7.63s
% Output : CNFRefutation 7.43s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(t6_boole,axiom,
! [A] :
( empty(A)
=> A = empty_set ),
input ).
fof(t6_boole_0,plain,
! [A] :
( ~ empty(A)
| A = empty_set ),
inference(orientation,[status(thm)],[t6_boole]) ).
fof(t4_subset,axiom,
! [A,B,C] :
( ( in(A,B)
& element(B,powerset(C)) )
=> element(A,C) ),
input ).
fof(t4_subset_0,plain,
! [A,B,C] :
( element(A,C)
| ~ ( in(A,B)
& element(B,powerset(C)) ) ),
inference(orientation,[status(thm)],[t4_subset]) ).
fof(t3_subset,axiom,
! [A,B] :
( element(A,powerset(B))
<=> subset(A,B) ),
input ).
fof(t3_subset_0,plain,
! [A,B] :
( element(A,powerset(B))
| ~ subset(A,B) ),
inference(orientation,[status(thm)],[t3_subset]) ).
fof(t3_subset_1,plain,
! [A,B] :
( ~ element(A,powerset(B))
| subset(A,B) ),
inference(orientation,[status(thm)],[t3_subset]) ).
fof(t2_subset,axiom,
! [A,B] :
( element(A,B)
=> ( empty(B)
| in(A,B) ) ),
input ).
fof(t2_subset_0,plain,
! [A,B] :
( ~ element(A,B)
| empty(B)
| in(A,B) ),
inference(orientation,[status(thm)],[t2_subset]) ).
fof(t1_subset,axiom,
! [A,B] :
( in(A,B)
=> element(A,B) ),
input ).
fof(t1_subset_0,plain,
! [A,B] :
( ~ in(A,B)
| element(A,B) ),
inference(orientation,[status(thm)],[t1_subset]) ).
fof(reflexivity_r1_tarski,axiom,
! [A,B] : subset(A,A),
input ).
fof(reflexivity_r1_tarski_0,plain,
! [A] :
( subset(A,A)
| $false ),
inference(orientation,[status(thm)],[reflexivity_r1_tarski]) ).
fof(rc4_finset_1,axiom,
! [A] :
( ~ empty(A)
=> ? [B] :
( element(B,powerset(A))
& ~ empty(B)
& finite(B) ) ),
input ).
fof(rc4_finset_1_0,plain,
! [A] :
( empty(A)
| ? [B] :
( element(B,powerset(A))
& ~ empty(B)
& finite(B) ) ),
inference(orientation,[status(thm)],[rc4_finset_1]) ).
fof(rc3_finset_1,axiom,
! [A] :
( ~ empty(A)
=> ? [B] :
( element(B,powerset(A))
& ~ empty(B)
& finite(B) ) ),
input ).
fof(rc3_finset_1_0,plain,
! [A] :
( empty(A)
| ? [B] :
( element(B,powerset(A))
& ~ empty(B)
& finite(B) ) ),
inference(orientation,[status(thm)],[rc3_finset_1]) ).
fof(fc1_xboole_0,axiom,
empty(empty_set),
input ).
fof(fc1_xboole_0_0,plain,
( empty(empty_set)
| $false ),
inference(orientation,[status(thm)],[fc1_xboole_0]) ).
fof(fc1_struct_0,axiom,
! [A] :
( ( ~ empty_carrier(A)
& one_sorted_str(A) )
=> ~ empty(the_carrier(A)) ),
input ).
fof(fc1_struct_0_0,plain,
! [A] :
( ~ empty(the_carrier(A))
| ~ ( ~ empty_carrier(A)
& one_sorted_str(A) ) ),
inference(orientation,[status(thm)],[fc1_struct_0]) ).
fof(fc1_finsub_1,axiom,
! [A] :
( ~ empty(powerset(A))
& cup_closed(powerset(A))
& diff_closed(powerset(A))
& preboolean(powerset(A)) ),
input ).
fof(fc1_finsub_1_0,plain,
! [A] :
( ~ empty(powerset(A))
| $false ),
inference(orientation,[status(thm)],[fc1_finsub_1]) ).
fof(fc1_finsub_1_1,plain,
! [A] :
( cup_closed(powerset(A))
| $false ),
inference(orientation,[status(thm)],[fc1_finsub_1]) ).
fof(fc1_finsub_1_2,plain,
! [A] :
( diff_closed(powerset(A))
| $false ),
inference(orientation,[status(thm)],[fc1_finsub_1]) ).
fof(fc1_finsub_1_3,plain,
! [A] :
( preboolean(powerset(A))
| $false ),
inference(orientation,[status(thm)],[fc1_finsub_1]) ).
fof(existence_l1_waybel_0,axiom,
! [A] :
( one_sorted_str(A)
=> ? [B] : net_str(B,A) ),
input ).
fof(existence_l1_waybel_0_0,plain,
! [A] :
( ~ one_sorted_str(A)
| ? [B] : net_str(B,A) ),
inference(orientation,[status(thm)],[existence_l1_waybel_0]) ).
fof(dt_u1_struct_0,axiom,
$true,
input ).
fof(dt_u1_struct_0_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_u1_struct_0]) ).
fof(dt_m1_subset_1,axiom,
$true,
input ).
fof(dt_m1_subset_1_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_m1_subset_1]) ).
fof(dt_l1_waybel_0,axiom,
! [A] :
( one_sorted_str(A)
=> ! [B] :
( net_str(B,A)
=> rel_str(B) ) ),
input ).
fof(dt_l1_waybel_0_0,plain,
! [A] :
( ~ one_sorted_str(A)
| ! [B] :
( net_str(B,A)
=> rel_str(B) ) ),
inference(orientation,[status(thm)],[dt_l1_waybel_0]) ).
fof(dt_l1_struct_0,axiom,
$true,
input ).
fof(dt_l1_struct_0_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_l1_struct_0]) ).
fof(dt_l1_pre_topc,axiom,
! [A] :
( top_str(A)
=> one_sorted_str(A) ),
input ).
fof(dt_l1_pre_topc_0,plain,
! [A] :
( ~ top_str(A)
| one_sorted_str(A) ),
inference(orientation,[status(thm)],[dt_l1_pre_topc]) ).
fof(dt_l1_orders_2,axiom,
! [A] :
( rel_str(A)
=> one_sorted_str(A) ),
input ).
fof(dt_l1_orders_2_0,plain,
! [A] :
( ~ rel_str(A)
| one_sorted_str(A) ),
inference(orientation,[status(thm)],[dt_l1_orders_2]) ).
fof(dt_k1_zfmisc_1,axiom,
$true,
input ).
fof(dt_k1_zfmisc_1_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_k1_zfmisc_1]) ).
fof(dt_k1_xboole_0,axiom,
$true,
input ).
fof(dt_k1_xboole_0_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_k1_xboole_0]) ).
fof(dt_k11_yellow_6,axiom,
! [A,B] :
( ( ~ empty_carrier(A)
& topological_space(A)
& top_str(A)
& ~ empty_carrier(B)
& transitive_relstr(B)
& directed_relstr(B)
& net_str(B,A) )
=> element(lim_points_of_net(A,B),powerset(the_carrier(A))) ),
input ).
fof(dt_k11_yellow_6_0,plain,
! [A,B] :
( element(lim_points_of_net(A,B),powerset(the_carrier(A)))
| ~ ( ~ empty_carrier(A)
& topological_space(A)
& top_str(A)
& ~ empty_carrier(B)
& transitive_relstr(B)
& directed_relstr(B)
& net_str(B,A) ) ),
inference(orientation,[status(thm)],[dt_k11_yellow_6]) ).
fof(cc2_finsub_1,axiom,
! [A] :
( ( cup_closed(A)
& diff_closed(A) )
=> preboolean(A) ),
input ).
fof(cc2_finsub_1_0,plain,
! [A] :
( preboolean(A)
| ~ ( cup_closed(A)
& diff_closed(A) ) ),
inference(orientation,[status(thm)],[cc2_finsub_1]) ).
fof(cc2_finset_1,axiom,
! [A] :
( finite(A)
=> ! [B] :
( element(B,powerset(A))
=> finite(B) ) ),
input ).
fof(cc2_finset_1_0,plain,
! [A] :
( ~ finite(A)
| ! [B] :
( element(B,powerset(A))
=> finite(B) ) ),
inference(orientation,[status(thm)],[cc2_finset_1]) ).
fof(cc1_funct_1,axiom,
! [A] :
( empty(A)
=> function(A) ),
input ).
fof(cc1_funct_1_0,plain,
! [A] :
( ~ empty(A)
| function(A) ),
inference(orientation,[status(thm)],[cc1_funct_1]) ).
fof(cc1_finsub_1,axiom,
! [A] :
( preboolean(A)
=> ( cup_closed(A)
& diff_closed(A) ) ),
input ).
fof(cc1_finsub_1_0,plain,
! [A] :
( ~ preboolean(A)
| ( cup_closed(A)
& diff_closed(A) ) ),
inference(orientation,[status(thm)],[cc1_finsub_1]) ).
fof(cc1_finset_1,axiom,
! [A] :
( empty(A)
=> finite(A) ),
input ).
fof(cc1_finset_1_0,plain,
! [A] :
( ~ empty(A)
| finite(A) ),
inference(orientation,[status(thm)],[cc1_finset_1]) ).
fof(antisymmetry_r2_hidden,axiom,
! [A,B] :
( in(A,B)
=> ~ in(B,A) ),
input ).
fof(antisymmetry_r2_hidden_0,plain,
! [A,B] :
( ~ in(A,B)
| ~ in(B,A) ),
inference(orientation,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(def_lhs_atom1,axiom,
! [B,A] :
( lhs_atom1(B,A)
<=> ~ in(A,B) ),
inference(definition,[],[]) ).
fof(to_be_clausified_0,plain,
! [A,B] :
( lhs_atom1(B,A)
| ~ in(B,A) ),
inference(fold_definition,[status(thm)],[antisymmetry_r2_hidden_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [A] :
( lhs_atom2(A)
<=> ~ empty(A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_1,plain,
! [A] :
( lhs_atom2(A)
| finite(A) ),
inference(fold_definition,[status(thm)],[cc1_finset_1_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
! [A] :
( lhs_atom3(A)
<=> ~ preboolean(A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_2,plain,
! [A] :
( lhs_atom3(A)
| ( cup_closed(A)
& diff_closed(A) ) ),
inference(fold_definition,[status(thm)],[cc1_finsub_1_0,def_lhs_atom3]) ).
fof(to_be_clausified_3,plain,
! [A] :
( lhs_atom2(A)
| function(A) ),
inference(fold_definition,[status(thm)],[cc1_funct_1_0,def_lhs_atom2]) ).
fof(def_lhs_atom4,axiom,
! [A] :
( lhs_atom4(A)
<=> ~ finite(A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_4,plain,
! [A] :
( lhs_atom4(A)
| ! [B] :
( element(B,powerset(A))
=> finite(B) ) ),
inference(fold_definition,[status(thm)],[cc2_finset_1_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [A] :
( lhs_atom5(A)
<=> preboolean(A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_5,plain,
! [A] :
( lhs_atom5(A)
| ~ ( cup_closed(A)
& diff_closed(A) ) ),
inference(fold_definition,[status(thm)],[cc2_finsub_1_0,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
! [B,A] :
( lhs_atom6(B,A)
<=> element(lim_points_of_net(A,B),powerset(the_carrier(A))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_6,plain,
! [A,B] :
( lhs_atom6(B,A)
| ~ ( ~ empty_carrier(A)
& topological_space(A)
& top_str(A)
& ~ empty_carrier(B)
& transitive_relstr(B)
& directed_relstr(B)
& net_str(B,A) ) ),
inference(fold_definition,[status(thm)],[dt_k11_yellow_6_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
( lhs_atom7
<=> $true ),
inference(definition,[],[]) ).
fof(to_be_clausified_7,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_xboole_0_0,def_lhs_atom7]) ).
fof(to_be_clausified_8,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_zfmisc_1_0,def_lhs_atom7]) ).
fof(def_lhs_atom8,axiom,
! [A] :
( lhs_atom8(A)
<=> ~ rel_str(A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_9,plain,
! [A] :
( lhs_atom8(A)
| one_sorted_str(A) ),
inference(fold_definition,[status(thm)],[dt_l1_orders_2_0,def_lhs_atom8]) ).
fof(def_lhs_atom9,axiom,
! [A] :
( lhs_atom9(A)
<=> ~ top_str(A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_10,plain,
! [A] :
( lhs_atom9(A)
| one_sorted_str(A) ),
inference(fold_definition,[status(thm)],[dt_l1_pre_topc_0,def_lhs_atom9]) ).
fof(to_be_clausified_11,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[dt_l1_struct_0_0,def_lhs_atom7]) ).
fof(def_lhs_atom10,axiom,
! [A] :
( lhs_atom10(A)
<=> ~ one_sorted_str(A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_12,plain,
! [A] :
( lhs_atom10(A)
| ! [B] :
( net_str(B,A)
=> rel_str(B) ) ),
inference(fold_definition,[status(thm)],[dt_l1_waybel_0_0,def_lhs_atom10]) ).
fof(to_be_clausified_13,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[dt_m1_subset_1_0,def_lhs_atom7]) ).
fof(to_be_clausified_14,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[dt_u1_struct_0_0,def_lhs_atom7]) ).
fof(to_be_clausified_15,plain,
! [A] :
( lhs_atom10(A)
| ? [B] : net_str(B,A) ),
inference(fold_definition,[status(thm)],[existence_l1_waybel_0_0,def_lhs_atom10]) ).
fof(def_lhs_atom11,axiom,
! [A] :
( lhs_atom11(A)
<=> preboolean(powerset(A)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_16,plain,
! [A] :
( lhs_atom11(A)
| $false ),
inference(fold_definition,[status(thm)],[fc1_finsub_1_3,def_lhs_atom11]) ).
fof(def_lhs_atom12,axiom,
! [A] :
( lhs_atom12(A)
<=> diff_closed(powerset(A)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_17,plain,
! [A] :
( lhs_atom12(A)
| $false ),
inference(fold_definition,[status(thm)],[fc1_finsub_1_2,def_lhs_atom12]) ).
fof(def_lhs_atom13,axiom,
! [A] :
( lhs_atom13(A)
<=> cup_closed(powerset(A)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_18,plain,
! [A] :
( lhs_atom13(A)
| $false ),
inference(fold_definition,[status(thm)],[fc1_finsub_1_1,def_lhs_atom13]) ).
fof(def_lhs_atom14,axiom,
! [A] :
( lhs_atom14(A)
<=> ~ empty(powerset(A)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_19,plain,
! [A] :
( lhs_atom14(A)
| $false ),
inference(fold_definition,[status(thm)],[fc1_finsub_1_0,def_lhs_atom14]) ).
fof(def_lhs_atom15,axiom,
! [A] :
( lhs_atom15(A)
<=> ~ empty(the_carrier(A)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_20,plain,
! [A] :
( lhs_atom15(A)
| ~ ( ~ empty_carrier(A)
& one_sorted_str(A) ) ),
inference(fold_definition,[status(thm)],[fc1_struct_0_0,def_lhs_atom15]) ).
fof(def_lhs_atom16,axiom,
( lhs_atom16
<=> empty(empty_set) ),
inference(definition,[],[]) ).
fof(to_be_clausified_21,plain,
( lhs_atom16
| $false ),
inference(fold_definition,[status(thm)],[fc1_xboole_0_0,def_lhs_atom16]) ).
fof(def_lhs_atom17,axiom,
! [A] :
( lhs_atom17(A)
<=> empty(A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_22,plain,
! [A] :
( lhs_atom17(A)
| ? [B] :
( element(B,powerset(A))
& ~ empty(B)
& finite(B) ) ),
inference(fold_definition,[status(thm)],[rc3_finset_1_0,def_lhs_atom17]) ).
fof(to_be_clausified_23,plain,
! [A] :
( lhs_atom17(A)
| ? [B] :
( element(B,powerset(A))
& ~ empty(B)
& finite(B) ) ),
inference(fold_definition,[status(thm)],[rc4_finset_1_0,def_lhs_atom17]) ).
fof(def_lhs_atom18,axiom,
! [A] :
( lhs_atom18(A)
<=> subset(A,A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_24,plain,
! [A] :
( lhs_atom18(A)
| $false ),
inference(fold_definition,[status(thm)],[reflexivity_r1_tarski_0,def_lhs_atom18]) ).
fof(to_be_clausified_25,plain,
! [A,B] :
( lhs_atom1(B,A)
| element(A,B) ),
inference(fold_definition,[status(thm)],[t1_subset_0,def_lhs_atom1]) ).
fof(def_lhs_atom19,axiom,
! [B,A] :
( lhs_atom19(B,A)
<=> ~ element(A,B) ),
inference(definition,[],[]) ).
fof(to_be_clausified_26,plain,
! [A,B] :
( lhs_atom19(B,A)
| empty(B)
| in(A,B) ),
inference(fold_definition,[status(thm)],[t2_subset_0,def_lhs_atom19]) ).
fof(def_lhs_atom20,axiom,
! [B,A] :
( lhs_atom20(B,A)
<=> ~ element(A,powerset(B)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_27,plain,
! [A,B] :
( lhs_atom20(B,A)
| subset(A,B) ),
inference(fold_definition,[status(thm)],[t3_subset_1,def_lhs_atom20]) ).
fof(def_lhs_atom21,axiom,
! [B,A] :
( lhs_atom21(B,A)
<=> element(A,powerset(B)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_28,plain,
! [A,B] :
( lhs_atom21(B,A)
| ~ subset(A,B) ),
inference(fold_definition,[status(thm)],[t3_subset_0,def_lhs_atom21]) ).
fof(def_lhs_atom22,axiom,
! [C,A] :
( lhs_atom22(C,A)
<=> element(A,C) ),
inference(definition,[],[]) ).
fof(to_be_clausified_29,plain,
! [A,B,C] :
( lhs_atom22(C,A)
| ~ ( in(A,B)
& element(B,powerset(C)) ) ),
inference(fold_definition,[status(thm)],[t4_subset_0,def_lhs_atom22]) ).
fof(to_be_clausified_30,plain,
! [A] :
( lhs_atom2(A)
| A = empty_set ),
inference(fold_definition,[status(thm)],[t6_boole_0,def_lhs_atom2]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X1,X2] :
( lhs_atom6(X1,X2)
| ~ ( ~ empty_carrier(X2)
& topological_space(X2)
& top_str(X2)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X2) ) ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_1,axiom,
! [X3,X1,X2] :
( lhs_atom22(X3,X2)
| ~ ( in(X2,X1)
& element(X1,powerset(X3)) ) ),
file('<stdin>',to_be_clausified_29) ).
fof(c_0_2,axiom,
! [X2] :
( lhs_atom4(X2)
| ! [X1] :
( element(X1,powerset(X2))
=> finite(X1) ) ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_3,axiom,
! [X1,X2] :
( lhs_atom21(X1,X2)
| ~ subset(X2,X1) ),
file('<stdin>',to_be_clausified_28) ).
fof(c_0_4,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ~ in(X1,X2) ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_5,axiom,
! [X1,X2] :
( lhs_atom19(X1,X2)
| empty(X1)
| in(X2,X1) ),
file('<stdin>',to_be_clausified_26) ).
fof(c_0_6,axiom,
! [X2] :
( lhs_atom10(X2)
| ! [X1] :
( net_str(X1,X2)
=> rel_str(X1) ) ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_7,axiom,
! [X2] :
( lhs_atom17(X2)
| ? [X1] :
( element(X1,powerset(X2))
& ~ empty(X1)
& finite(X1) ) ),
file('<stdin>',to_be_clausified_23) ).
fof(c_0_8,axiom,
! [X2] :
( lhs_atom17(X2)
| ? [X1] :
( element(X1,powerset(X2))
& ~ empty(X1)
& finite(X1) ) ),
file('<stdin>',to_be_clausified_22) ).
fof(c_0_9,axiom,
! [X1,X2] :
( lhs_atom20(X1,X2)
| subset(X2,X1) ),
file('<stdin>',to_be_clausified_27) ).
fof(c_0_10,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| element(X2,X1) ),
file('<stdin>',to_be_clausified_25) ).
fof(c_0_11,axiom,
! [X2] :
( lhs_atom10(X2)
| ? [X1] : net_str(X1,X2) ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_12,axiom,
! [X2] :
( lhs_atom5(X2)
| ~ ( cup_closed(X2)
& diff_closed(X2) ) ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_13,axiom,
! [X2] :
( lhs_atom15(X2)
| ~ ( ~ empty_carrier(X2)
& one_sorted_str(X2) ) ),
file('<stdin>',to_be_clausified_20) ).
fof(c_0_14,axiom,
! [X2] :
( lhs_atom9(X2)
| one_sorted_str(X2) ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_15,axiom,
! [X2] :
( lhs_atom8(X2)
| one_sorted_str(X2) ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_16,axiom,
! [X2] :
( lhs_atom2(X2)
| function(X2) ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_17,axiom,
! [X2] :
( lhs_atom3(X2)
| ( cup_closed(X2)
& diff_closed(X2) ) ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_18,axiom,
! [X2] :
( lhs_atom2(X2)
| finite(X2) ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_19,axiom,
! [X2] :
( lhs_atom2(X2)
| X2 = empty_set ),
file('<stdin>',to_be_clausified_30) ).
fof(c_0_20,axiom,
! [X2] :
( lhs_atom18(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_24) ).
fof(c_0_21,axiom,
! [X2] :
( lhs_atom14(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_22,axiom,
! [X2] :
( lhs_atom13(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_23,axiom,
! [X2] :
( lhs_atom12(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_24,axiom,
! [X2] :
( lhs_atom11(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_25,axiom,
( lhs_atom16
| ~ $true ),
file('<stdin>',to_be_clausified_21) ).
fof(c_0_26,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_27,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_28,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_29,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_30,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_31,plain,
! [X1,X2] :
( lhs_atom6(X1,X2)
| ~ ( ~ empty_carrier(X2)
& topological_space(X2)
& top_str(X2)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_32,axiom,
! [X3,X1,X2] :
( lhs_atom22(X3,X2)
| ~ ( in(X2,X1)
& element(X1,powerset(X3)) ) ),
c_0_1 ).
fof(c_0_33,axiom,
! [X2] :
( lhs_atom4(X2)
| ! [X1] :
( element(X1,powerset(X2))
=> finite(X1) ) ),
c_0_2 ).
fof(c_0_34,plain,
! [X1,X2] :
( lhs_atom21(X1,X2)
| ~ subset(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_35,plain,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ~ in(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_36,axiom,
! [X1,X2] :
( lhs_atom19(X1,X2)
| empty(X1)
| in(X2,X1) ),
c_0_5 ).
fof(c_0_37,axiom,
! [X2] :
( lhs_atom10(X2)
| ! [X1] :
( net_str(X1,X2)
=> rel_str(X1) ) ),
c_0_6 ).
fof(c_0_38,plain,
! [X2] :
( lhs_atom17(X2)
| ? [X1] :
( element(X1,powerset(X2))
& ~ empty(X1)
& finite(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_39,plain,
! [X2] :
( lhs_atom17(X2)
| ? [X1] :
( element(X1,powerset(X2))
& ~ empty(X1)
& finite(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_40,axiom,
! [X1,X2] :
( lhs_atom20(X1,X2)
| subset(X2,X1) ),
c_0_9 ).
fof(c_0_41,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| element(X2,X1) ),
c_0_10 ).
fof(c_0_42,axiom,
! [X2] :
( lhs_atom10(X2)
| ? [X1] : net_str(X1,X2) ),
c_0_11 ).
fof(c_0_43,axiom,
! [X2] :
( lhs_atom5(X2)
| ~ ( cup_closed(X2)
& diff_closed(X2) ) ),
c_0_12 ).
fof(c_0_44,plain,
! [X2] :
( lhs_atom15(X2)
| ~ ( ~ empty_carrier(X2)
& one_sorted_str(X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_45,axiom,
! [X2] :
( lhs_atom9(X2)
| one_sorted_str(X2) ),
c_0_14 ).
fof(c_0_46,axiom,
! [X2] :
( lhs_atom8(X2)
| one_sorted_str(X2) ),
c_0_15 ).
fof(c_0_47,axiom,
! [X2] :
( lhs_atom2(X2)
| function(X2) ),
c_0_16 ).
fof(c_0_48,axiom,
! [X2] :
( lhs_atom3(X2)
| ( cup_closed(X2)
& diff_closed(X2) ) ),
c_0_17 ).
fof(c_0_49,axiom,
! [X2] :
( lhs_atom2(X2)
| finite(X2) ),
c_0_18 ).
fof(c_0_50,axiom,
! [X2] :
( lhs_atom2(X2)
| X2 = empty_set ),
c_0_19 ).
fof(c_0_51,plain,
! [X2] : lhs_atom18(X2),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_52,plain,
! [X2] : lhs_atom14(X2),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_53,plain,
! [X2] : lhs_atom13(X2),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_54,plain,
! [X2] : lhs_atom12(X2),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_55,plain,
! [X2] : lhs_atom11(X2),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_56,plain,
lhs_atom16,
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_57,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_58,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_59,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_60,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_61,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_62,plain,
! [X3,X4] :
( lhs_atom6(X3,X4)
| empty_carrier(X4)
| ~ topological_space(X4)
| ~ top_str(X4)
| empty_carrier(X3)
| ~ transitive_relstr(X3)
| ~ directed_relstr(X3)
| ~ net_str(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])]) ).
fof(c_0_63,plain,
! [X4,X5,X6] :
( lhs_atom22(X4,X6)
| ~ in(X6,X5)
| ~ element(X5,powerset(X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])]) ).
fof(c_0_64,plain,
! [X3,X4] :
( lhs_atom4(X3)
| ~ element(X4,powerset(X3))
| finite(X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
fof(c_0_65,plain,
! [X3,X4] :
( lhs_atom21(X3,X4)
| ~ subset(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_34]) ).
fof(c_0_66,plain,
! [X3,X4] :
( lhs_atom1(X3,X4)
| ~ in(X3,X4) ),
inference(variable_rename,[status(thm)],[c_0_35]) ).
fof(c_0_67,plain,
! [X3,X4] :
( lhs_atom19(X3,X4)
| empty(X3)
| in(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_36]) ).
fof(c_0_68,plain,
! [X3,X4] :
( lhs_atom10(X3)
| ~ net_str(X4,X3)
| rel_str(X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])]) ).
fof(c_0_69,plain,
! [X3] :
( ( element(esk3_1(X3),powerset(X3))
| lhs_atom17(X3) )
& ( ~ empty(esk3_1(X3))
| lhs_atom17(X3) )
& ( finite(esk3_1(X3))
| lhs_atom17(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_38])])]) ).
fof(c_0_70,plain,
! [X3] :
( ( element(esk2_1(X3),powerset(X3))
| lhs_atom17(X3) )
& ( ~ empty(esk2_1(X3))
| lhs_atom17(X3) )
& ( finite(esk2_1(X3))
| lhs_atom17(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_39])])]) ).
fof(c_0_71,plain,
! [X3,X4] :
( lhs_atom20(X3,X4)
| subset(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_40]) ).
fof(c_0_72,plain,
! [X3,X4] :
( lhs_atom1(X3,X4)
| element(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_41]) ).
fof(c_0_73,plain,
! [X3] :
( lhs_atom10(X3)
| net_str(esk1_1(X3),X3) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_42])]) ).
fof(c_0_74,plain,
! [X3] :
( lhs_atom5(X3)
| ~ cup_closed(X3)
| ~ diff_closed(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])]) ).
fof(c_0_75,plain,
! [X3] :
( lhs_atom15(X3)
| empty_carrier(X3)
| ~ one_sorted_str(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])]) ).
fof(c_0_76,plain,
! [X3] :
( lhs_atom9(X3)
| one_sorted_str(X3) ),
inference(variable_rename,[status(thm)],[c_0_45]) ).
fof(c_0_77,plain,
! [X3] :
( lhs_atom8(X3)
| one_sorted_str(X3) ),
inference(variable_rename,[status(thm)],[c_0_46]) ).
fof(c_0_78,plain,
! [X3] :
( lhs_atom2(X3)
| function(X3) ),
inference(variable_rename,[status(thm)],[c_0_47]) ).
fof(c_0_79,plain,
! [X3] :
( ( cup_closed(X3)
| lhs_atom3(X3) )
& ( diff_closed(X3)
| lhs_atom3(X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_48])]) ).
fof(c_0_80,plain,
! [X3] :
( lhs_atom2(X3)
| finite(X3) ),
inference(variable_rename,[status(thm)],[c_0_49]) ).
fof(c_0_81,plain,
! [X3] :
( lhs_atom2(X3)
| X3 = empty_set ),
inference(variable_rename,[status(thm)],[c_0_50]) ).
fof(c_0_82,plain,
! [X3] : lhs_atom18(X3),
inference(variable_rename,[status(thm)],[c_0_51]) ).
fof(c_0_83,plain,
! [X3] : lhs_atom14(X3),
inference(variable_rename,[status(thm)],[c_0_52]) ).
fof(c_0_84,plain,
! [X3] : lhs_atom13(X3),
inference(variable_rename,[status(thm)],[c_0_53]) ).
fof(c_0_85,plain,
! [X3] : lhs_atom12(X3),
inference(variable_rename,[status(thm)],[c_0_54]) ).
fof(c_0_86,plain,
! [X3] : lhs_atom11(X3),
inference(variable_rename,[status(thm)],[c_0_55]) ).
fof(c_0_87,plain,
lhs_atom16,
c_0_56 ).
fof(c_0_88,plain,
lhs_atom7,
c_0_57 ).
fof(c_0_89,plain,
lhs_atom7,
c_0_58 ).
fof(c_0_90,plain,
lhs_atom7,
c_0_59 ).
fof(c_0_91,plain,
lhs_atom7,
c_0_60 ).
fof(c_0_92,plain,
lhs_atom7,
c_0_61 ).
cnf(c_0_93,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| lhs_atom6(X1,X2)
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_94,plain,
( lhs_atom22(X2,X3)
| ~ element(X1,powerset(X2))
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_95,plain,
( finite(X1)
| lhs_atom4(X2)
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_96,plain,
( lhs_atom21(X2,X1)
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_97,plain,
( lhs_atom1(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_98,plain,
( in(X1,X2)
| empty(X2)
| lhs_atom19(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_99,plain,
( rel_str(X1)
| lhs_atom10(X2)
| ~ net_str(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_100,plain,
( lhs_atom17(X1)
| element(esk3_1(X1),powerset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_101,plain,
( lhs_atom17(X1)
| element(esk2_1(X1),powerset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_102,plain,
( subset(X1,X2)
| lhs_atom20(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_103,plain,
( element(X1,X2)
| lhs_atom1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_104,plain,
( net_str(esk1_1(X1),X1)
| lhs_atom10(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_105,plain,
( lhs_atom17(X1)
| ~ empty(esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_106,plain,
( lhs_atom17(X1)
| ~ empty(esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_107,plain,
( lhs_atom5(X1)
| ~ diff_closed(X1)
| ~ cup_closed(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_108,plain,
( empty_carrier(X1)
| lhs_atom15(X1)
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_109,plain,
( lhs_atom17(X1)
| finite(esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_110,plain,
( lhs_atom17(X1)
| finite(esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_111,plain,
( one_sorted_str(X1)
| lhs_atom9(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_112,plain,
( one_sorted_str(X1)
| lhs_atom8(X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_113,plain,
( function(X1)
| lhs_atom2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_114,plain,
( lhs_atom3(X1)
| cup_closed(X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_115,plain,
( lhs_atom3(X1)
| diff_closed(X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_116,plain,
( finite(X1)
| lhs_atom2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_117,plain,
( X1 = empty_set
| lhs_atom2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_118,plain,
lhs_atom18(X1),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_119,plain,
lhs_atom14(X1),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_120,plain,
lhs_atom13(X1),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_121,plain,
lhs_atom12(X1),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_122,plain,
lhs_atom11(X1),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_123,plain,
lhs_atom16,
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_124,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_125,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_126,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_127,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_128,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_129,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| lhs_atom6(X1,X2)
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2) ),
c_0_93,
[final] ).
cnf(c_0_130,plain,
( lhs_atom22(X2,X3)
| ~ element(X1,powerset(X2))
| ~ in(X3,X1) ),
c_0_94,
[final] ).
cnf(c_0_131,plain,
( finite(X1)
| lhs_atom4(X2)
| ~ element(X1,powerset(X2)) ),
c_0_95,
[final] ).
cnf(c_0_132,plain,
( lhs_atom21(X2,X1)
| ~ subset(X1,X2) ),
c_0_96,
[final] ).
cnf(c_0_133,plain,
( lhs_atom1(X1,X2)
| ~ in(X1,X2) ),
c_0_97,
[final] ).
cnf(c_0_134,plain,
( in(X1,X2)
| empty(X2)
| lhs_atom19(X2,X1) ),
c_0_98,
[final] ).
cnf(c_0_135,plain,
( rel_str(X1)
| lhs_atom10(X2)
| ~ net_str(X1,X2) ),
c_0_99,
[final] ).
cnf(c_0_136,plain,
( lhs_atom17(X1)
| element(esk3_1(X1),powerset(X1)) ),
c_0_100,
[final] ).
cnf(c_0_137,plain,
( lhs_atom17(X1)
| element(esk2_1(X1),powerset(X1)) ),
c_0_101,
[final] ).
cnf(c_0_138,plain,
( subset(X1,X2)
| lhs_atom20(X2,X1) ),
c_0_102,
[final] ).
cnf(c_0_139,plain,
( element(X1,X2)
| lhs_atom1(X2,X1) ),
c_0_103,
[final] ).
cnf(c_0_140,plain,
( net_str(esk1_1(X1),X1)
| lhs_atom10(X1) ),
c_0_104,
[final] ).
cnf(c_0_141,plain,
( lhs_atom17(X1)
| ~ empty(esk3_1(X1)) ),
c_0_105,
[final] ).
cnf(c_0_142,plain,
( lhs_atom17(X1)
| ~ empty(esk2_1(X1)) ),
c_0_106,
[final] ).
cnf(c_0_143,plain,
( lhs_atom5(X1)
| ~ diff_closed(X1)
| ~ cup_closed(X1) ),
c_0_107,
[final] ).
cnf(c_0_144,plain,
( empty_carrier(X1)
| lhs_atom15(X1)
| ~ one_sorted_str(X1) ),
c_0_108,
[final] ).
cnf(c_0_145,plain,
( lhs_atom17(X1)
| finite(esk3_1(X1)) ),
c_0_109,
[final] ).
cnf(c_0_146,plain,
( lhs_atom17(X1)
| finite(esk2_1(X1)) ),
c_0_110,
[final] ).
cnf(c_0_147,plain,
( one_sorted_str(X1)
| lhs_atom9(X1) ),
c_0_111,
[final] ).
cnf(c_0_148,plain,
( one_sorted_str(X1)
| lhs_atom8(X1) ),
c_0_112,
[final] ).
cnf(c_0_149,plain,
( function(X1)
| lhs_atom2(X1) ),
c_0_113,
[final] ).
cnf(c_0_150,plain,
( lhs_atom3(X1)
| cup_closed(X1) ),
c_0_114,
[final] ).
cnf(c_0_151,plain,
( lhs_atom3(X1)
| diff_closed(X1) ),
c_0_115,
[final] ).
cnf(c_0_152,plain,
( finite(X1)
| lhs_atom2(X1) ),
c_0_116,
[final] ).
cnf(c_0_153,plain,
( X1 = empty_set
| lhs_atom2(X1) ),
c_0_117,
[final] ).
cnf(c_0_154,plain,
lhs_atom18(X1),
c_0_118,
[final] ).
cnf(c_0_155,plain,
lhs_atom14(X1),
c_0_119,
[final] ).
cnf(c_0_156,plain,
lhs_atom13(X1),
c_0_120,
[final] ).
cnf(c_0_157,plain,
lhs_atom12(X1),
c_0_121,
[final] ).
cnf(c_0_158,plain,
lhs_atom11(X1),
c_0_122,
[final] ).
cnf(c_0_159,plain,
lhs_atom16,
c_0_123,
[final] ).
cnf(c_0_160,plain,
lhs_atom7,
c_0_124,
[final] ).
cnf(c_0_161,plain,
lhs_atom7,
c_0_125,
[final] ).
cnf(c_0_162,plain,
lhs_atom7,
c_0_126,
[final] ).
cnf(c_0_163,plain,
lhs_atom7,
c_0_127,
[final] ).
cnf(c_0_164,plain,
lhs_atom7,
c_0_128,
[final] ).
% End CNF derivation
cnf(c_0_129_0,axiom,
( element(lim_points_of_net(X2,X1),powerset(the_carrier(X2)))
| empty_carrier(X1)
| empty_carrier(X2)
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2) ),
inference(unfold_definition,[status(thm)],[c_0_129,def_lhs_atom6]) ).
cnf(c_0_130_0,axiom,
( element(X3,X2)
| ~ element(X1,powerset(X2))
| ~ in(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_130,def_lhs_atom22]) ).
cnf(c_0_131_0,axiom,
( ~ finite(X2)
| finite(X1)
| ~ element(X1,powerset(X2)) ),
inference(unfold_definition,[status(thm)],[c_0_131,def_lhs_atom4]) ).
cnf(c_0_132_0,axiom,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_132,def_lhs_atom21]) ).
cnf(c_0_133_0,axiom,
( ~ in(X2,X1)
| ~ in(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_133,def_lhs_atom1]) ).
cnf(c_0_134_0,axiom,
( ~ element(X1,X2)
| in(X1,X2)
| empty(X2) ),
inference(unfold_definition,[status(thm)],[c_0_134,def_lhs_atom19]) ).
cnf(c_0_135_0,axiom,
( ~ one_sorted_str(X2)
| rel_str(X1)
| ~ net_str(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_135,def_lhs_atom10]) ).
cnf(c_0_136_0,axiom,
( empty(X1)
| element(sk1_esk3_1(X1),powerset(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_136,def_lhs_atom17]) ).
cnf(c_0_137_0,axiom,
( empty(X1)
| element(sk1_esk2_1(X1),powerset(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_137,def_lhs_atom17]) ).
cnf(c_0_138_0,axiom,
( ~ element(X1,powerset(X2))
| subset(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_138,def_lhs_atom20]) ).
cnf(c_0_139_0,axiom,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_139,def_lhs_atom1]) ).
cnf(c_0_140_0,axiom,
( ~ one_sorted_str(X1)
| net_str(sk1_esk1_1(X1),X1) ),
inference(unfold_definition,[status(thm)],[c_0_140,def_lhs_atom10]) ).
cnf(c_0_141_0,axiom,
( empty(X1)
| ~ empty(sk1_esk3_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_141,def_lhs_atom17]) ).
cnf(c_0_142_0,axiom,
( empty(X1)
| ~ empty(sk1_esk2_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_142,def_lhs_atom17]) ).
cnf(c_0_143_0,axiom,
( preboolean(X1)
| ~ diff_closed(X1)
| ~ cup_closed(X1) ),
inference(unfold_definition,[status(thm)],[c_0_143,def_lhs_atom5]) ).
cnf(c_0_144_0,axiom,
( ~ empty(the_carrier(X1))
| empty_carrier(X1)
| ~ one_sorted_str(X1) ),
inference(unfold_definition,[status(thm)],[c_0_144,def_lhs_atom15]) ).
cnf(c_0_145_0,axiom,
( empty(X1)
| finite(sk1_esk3_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_145,def_lhs_atom17]) ).
cnf(c_0_146_0,axiom,
( empty(X1)
| finite(sk1_esk2_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_146,def_lhs_atom17]) ).
cnf(c_0_147_0,axiom,
( ~ top_str(X1)
| one_sorted_str(X1) ),
inference(unfold_definition,[status(thm)],[c_0_147,def_lhs_atom9]) ).
cnf(c_0_148_0,axiom,
( ~ rel_str(X1)
| one_sorted_str(X1) ),
inference(unfold_definition,[status(thm)],[c_0_148,def_lhs_atom8]) ).
cnf(c_0_149_0,axiom,
( ~ empty(X1)
| function(X1) ),
inference(unfold_definition,[status(thm)],[c_0_149,def_lhs_atom2]) ).
cnf(c_0_150_0,axiom,
( ~ preboolean(X1)
| cup_closed(X1) ),
inference(unfold_definition,[status(thm)],[c_0_150,def_lhs_atom3]) ).
cnf(c_0_151_0,axiom,
( ~ preboolean(X1)
| diff_closed(X1) ),
inference(unfold_definition,[status(thm)],[c_0_151,def_lhs_atom3]) ).
cnf(c_0_152_0,axiom,
( ~ empty(X1)
| finite(X1) ),
inference(unfold_definition,[status(thm)],[c_0_152,def_lhs_atom2]) ).
cnf(c_0_153_0,axiom,
( ~ empty(X1)
| X1 = empty_set ),
inference(unfold_definition,[status(thm)],[c_0_153,def_lhs_atom2]) ).
cnf(c_0_154_0,axiom,
subset(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_154,def_lhs_atom18]) ).
cnf(c_0_155_0,axiom,
~ empty(powerset(X1)),
inference(unfold_definition,[status(thm)],[c_0_155,def_lhs_atom14]) ).
cnf(c_0_156_0,axiom,
cup_closed(powerset(X1)),
inference(unfold_definition,[status(thm)],[c_0_156,def_lhs_atom13]) ).
cnf(c_0_157_0,axiom,
diff_closed(powerset(X1)),
inference(unfold_definition,[status(thm)],[c_0_157,def_lhs_atom12]) ).
cnf(c_0_158_0,axiom,
preboolean(powerset(X1)),
inference(unfold_definition,[status(thm)],[c_0_158,def_lhs_atom11]) ).
cnf(c_0_159_0,axiom,
empty(empty_set),
inference(unfold_definition,[status(thm)],[c_0_159,def_lhs_atom16]) ).
cnf(c_0_160_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_160,def_lhs_atom7]) ).
cnf(c_0_161_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_161,def_lhs_atom7]) ).
cnf(c_0_162_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_162,def_lhs_atom7]) ).
cnf(c_0_163_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_163,def_lhs_atom7]) ).
cnf(c_0_164_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_164,def_lhs_atom7]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& transitive_relstr(X2)
& directed_relstr(X2)
& net_str(X2,X1) )
=> ! [X3] :
( element(X3,powerset(the_carrier(X1)))
=> ( X3 = lim_points_of_net(X1,X2)
<=> ! [X4] :
( element(X4,the_carrier(X1))
=> ( in(X4,X3)
<=> ! [X5] :
( point_neighbourhood(X5,X1,X4)
=> is_eventually_in(X1,X2,X5) ) ) ) ) ) ) ),
file('<stdin>',d18_yellow_6) ).
fof(c_0_1_002,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& net_str(X2,X1) )
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( is_a_cluster_point_of_netstr(X1,X2,X3)
<=> ! [X4] :
( point_neighbourhood(X4,X1,X3)
=> is_often_in(X1,X2,X4) ) ) ) ) ),
file('<stdin>',d9_waybel_9) ).
fof(c_0_2_003,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& transitive_relstr(X2)
& directed_relstr(X2)
& net_str(X2,X1) )
=> ! [X3] :
( is_eventually_in(X1,X2,X3)
=> is_often_in(X1,X2,X3) ) ) ),
file('<stdin>',t28_yellow_6) ).
fof(c_0_3_004,axiom,
! [X1,X2] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1)
& element(X2,the_carrier(X1)) )
=> ! [X3] :
( point_neighbourhood(X3,X1,X2)
=> element(X3,powerset(the_carrier(X1))) ) ),
file('<stdin>',dt_m1_connsp_2) ).
fof(c_0_4_005,axiom,
! [X1,X2] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1)
& element(X2,the_carrier(X1)) )
=> ? [X3] : point_neighbourhood(X3,X1,X2) ),
file('<stdin>',existence_m1_connsp_2) ).
fof(c_0_5_006,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
file('<stdin>',t5_subset) ).
fof(c_0_6_007,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ? [X2] :
( element(X2,powerset(the_carrier(X1)))
& ~ empty(X2) ) ),
file('<stdin>',rc5_struct_0) ).
fof(c_0_7_008,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('<stdin>',t7_boole) ).
fof(c_0_8_009,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('<stdin>',existence_m1_subset_1) ).
fof(c_0_9_010,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('<stdin>',t8_boole) ).
fof(c_0_10_011,axiom,
? [X1] :
( ~ empty(X1)
& finite(X1) ),
file('<stdin>',rc1_finset_1) ).
fof(c_0_11_012,axiom,
? [X1] : ~ empty(X1),
file('<stdin>',rc2_xboole_0) ).
fof(c_0_12_013,axiom,
? [X1] :
( one_sorted_str(X1)
& ~ empty_carrier(X1) ),
file('<stdin>',rc3_struct_0) ).
fof(c_0_13_014,axiom,
? [X1] : rel_str(X1),
file('<stdin>',existence_l1_orders_2) ).
fof(c_0_14_015,axiom,
? [X1] : top_str(X1),
file('<stdin>',existence_l1_pre_topc) ).
fof(c_0_15_016,axiom,
? [X1] : one_sorted_str(X1),
file('<stdin>',existence_l1_struct_0) ).
fof(c_0_16_017,axiom,
? [X1] : empty(X1),
file('<stdin>',rc1_xboole_0) ).
fof(c_0_17_018,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& transitive_relstr(X2)
& directed_relstr(X2)
& net_str(X2,X1) )
=> ! [X3] :
( element(X3,powerset(the_carrier(X1)))
=> ( X3 = lim_points_of_net(X1,X2)
<=> ! [X4] :
( element(X4,the_carrier(X1))
=> ( in(X4,X3)
<=> ! [X5] :
( point_neighbourhood(X5,X1,X4)
=> is_eventually_in(X1,X2,X5) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_18_019,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& net_str(X2,X1) )
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( is_a_cluster_point_of_netstr(X1,X2,X3)
<=> ! [X4] :
( point_neighbourhood(X4,X1,X3)
=> is_often_in(X1,X2,X4) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_19_020,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& transitive_relstr(X2)
& directed_relstr(X2)
& net_str(X2,X1) )
=> ! [X3] :
( is_eventually_in(X1,X2,X3)
=> is_often_in(X1,X2,X3) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_20_021,plain,
! [X1,X2] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1)
& element(X2,the_carrier(X1)) )
=> ! [X3] :
( point_neighbourhood(X3,X1,X2)
=> element(X3,powerset(the_carrier(X1))) ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_21_022,plain,
! [X1,X2] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1)
& element(X2,the_carrier(X1)) )
=> ? [X3] : point_neighbourhood(X3,X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_22_023,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
c_0_5 ).
fof(c_0_23_024,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ? [X2] :
( element(X2,powerset(the_carrier(X1)))
& ~ empty(X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_24_025,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
c_0_7 ).
fof(c_0_25_026,axiom,
! [X1] :
? [X2] : element(X2,X1),
c_0_8 ).
fof(c_0_26_027,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
c_0_9 ).
fof(c_0_27_028,plain,
? [X1] :
( ~ empty(X1)
& finite(X1) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_28_029,plain,
? [X1] : ~ empty(X1),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_29_030,plain,
? [X1] :
( one_sorted_str(X1)
& ~ empty_carrier(X1) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_30_031,axiom,
? [X1] : rel_str(X1),
c_0_13 ).
fof(c_0_31_032,axiom,
? [X1] : top_str(X1),
c_0_14 ).
fof(c_0_32_033,axiom,
? [X1] : one_sorted_str(X1),
c_0_15 ).
fof(c_0_33_034,axiom,
? [X1] : empty(X1),
c_0_16 ).
fof(c_0_34_035,plain,
! [X6,X7,X8,X9,X10,X14] :
( ( ~ in(X9,X8)
| ~ point_neighbourhood(X10,X6,X9)
| is_eventually_in(X6,X7,X10)
| ~ element(X9,the_carrier(X6))
| X8 != lim_points_of_net(X6,X7)
| ~ element(X8,powerset(the_carrier(X6)))
| empty_carrier(X7)
| ~ transitive_relstr(X7)
| ~ directed_relstr(X7)
| ~ net_str(X7,X6)
| empty_carrier(X6)
| ~ topological_space(X6)
| ~ top_str(X6) )
& ( point_neighbourhood(esk12_4(X6,X7,X8,X9),X6,X9)
| in(X9,X8)
| ~ element(X9,the_carrier(X6))
| X8 != lim_points_of_net(X6,X7)
| ~ element(X8,powerset(the_carrier(X6)))
| empty_carrier(X7)
| ~ transitive_relstr(X7)
| ~ directed_relstr(X7)
| ~ net_str(X7,X6)
| empty_carrier(X6)
| ~ topological_space(X6)
| ~ top_str(X6) )
& ( ~ is_eventually_in(X6,X7,esk12_4(X6,X7,X8,X9))
| in(X9,X8)
| ~ element(X9,the_carrier(X6))
| X8 != lim_points_of_net(X6,X7)
| ~ element(X8,powerset(the_carrier(X6)))
| empty_carrier(X7)
| ~ transitive_relstr(X7)
| ~ directed_relstr(X7)
| ~ net_str(X7,X6)
| empty_carrier(X6)
| ~ topological_space(X6)
| ~ top_str(X6) )
& ( element(esk13_3(X6,X7,X8),the_carrier(X6))
| X8 = lim_points_of_net(X6,X7)
| ~ element(X8,powerset(the_carrier(X6)))
| empty_carrier(X7)
| ~ transitive_relstr(X7)
| ~ directed_relstr(X7)
| ~ net_str(X7,X6)
| empty_carrier(X6)
| ~ topological_space(X6)
| ~ top_str(X6) )
& ( point_neighbourhood(esk14_3(X6,X7,X8),X6,esk13_3(X6,X7,X8))
| ~ in(esk13_3(X6,X7,X8),X8)
| X8 = lim_points_of_net(X6,X7)
| ~ element(X8,powerset(the_carrier(X6)))
| empty_carrier(X7)
| ~ transitive_relstr(X7)
| ~ directed_relstr(X7)
| ~ net_str(X7,X6)
| empty_carrier(X6)
| ~ topological_space(X6)
| ~ top_str(X6) )
& ( ~ is_eventually_in(X6,X7,esk14_3(X6,X7,X8))
| ~ in(esk13_3(X6,X7,X8),X8)
| X8 = lim_points_of_net(X6,X7)
| ~ element(X8,powerset(the_carrier(X6)))
| empty_carrier(X7)
| ~ transitive_relstr(X7)
| ~ directed_relstr(X7)
| ~ net_str(X7,X6)
| empty_carrier(X6)
| ~ topological_space(X6)
| ~ top_str(X6) )
& ( in(esk13_3(X6,X7,X8),X8)
| ~ point_neighbourhood(X14,X6,esk13_3(X6,X7,X8))
| is_eventually_in(X6,X7,X14)
| X8 = lim_points_of_net(X6,X7)
| ~ element(X8,powerset(the_carrier(X6)))
| empty_carrier(X7)
| ~ transitive_relstr(X7)
| ~ directed_relstr(X7)
| ~ net_str(X7,X6)
| empty_carrier(X6)
| ~ topological_space(X6)
| ~ top_str(X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])]) ).
fof(c_0_35_036,plain,
! [X5,X6,X7,X8] :
( ( ~ is_a_cluster_point_of_netstr(X5,X6,X7)
| ~ point_neighbourhood(X8,X5,X7)
| is_often_in(X5,X6,X8)
| ~ element(X7,the_carrier(X5))
| empty_carrier(X6)
| ~ net_str(X6,X5)
| empty_carrier(X5)
| ~ topological_space(X5)
| ~ top_str(X5) )
& ( point_neighbourhood(esk11_3(X5,X6,X7),X5,X7)
| is_a_cluster_point_of_netstr(X5,X6,X7)
| ~ element(X7,the_carrier(X5))
| empty_carrier(X6)
| ~ net_str(X6,X5)
| empty_carrier(X5)
| ~ topological_space(X5)
| ~ top_str(X5) )
& ( ~ is_often_in(X5,X6,esk11_3(X5,X6,X7))
| is_a_cluster_point_of_netstr(X5,X6,X7)
| ~ element(X7,the_carrier(X5))
| empty_carrier(X6)
| ~ net_str(X6,X5)
| empty_carrier(X5)
| ~ topological_space(X5)
| ~ top_str(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])]) ).
fof(c_0_36_037,plain,
! [X4,X5,X6] :
( empty_carrier(X4)
| ~ one_sorted_str(X4)
| empty_carrier(X5)
| ~ transitive_relstr(X5)
| ~ directed_relstr(X5)
| ~ net_str(X5,X4)
| ~ is_eventually_in(X4,X5,X6)
| is_often_in(X4,X5,X6) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
fof(c_0_37_038,plain,
! [X4,X5,X6] :
( empty_carrier(X4)
| ~ topological_space(X4)
| ~ top_str(X4)
| ~ element(X5,the_carrier(X4))
| ~ point_neighbourhood(X6,X4,X5)
| element(X6,powerset(the_carrier(X4))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
fof(c_0_38_039,plain,
! [X4,X5] :
( empty_carrier(X4)
| ~ topological_space(X4)
| ~ top_str(X4)
| ~ element(X5,the_carrier(X4))
| point_neighbourhood(esk7_2(X4,X5),X4,X5) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
fof(c_0_39_040,plain,
! [X4,X5,X6] :
( ~ in(X4,X5)
| ~ element(X5,powerset(X6))
| ~ empty(X6) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])]) ).
fof(c_0_40_041,plain,
! [X3] :
( ( element(esk1_1(X3),powerset(the_carrier(X3)))
| empty_carrier(X3)
| ~ one_sorted_str(X3) )
& ( ~ empty(esk1_1(X3))
| empty_carrier(X3)
| ~ one_sorted_str(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).
fof(c_0_41_042,plain,
! [X3,X4] :
( ~ in(X3,X4)
| ~ empty(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])]) ).
fof(c_0_42_043,plain,
! [X3] : element(esk6_1(X3),X3),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_25])]) ).
fof(c_0_43_044,plain,
! [X3,X4] :
( ~ empty(X3)
| X3 = X4
| ~ empty(X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])]) ).
fof(c_0_44_045,plain,
( ~ empty(esk5_0)
& finite(esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_27])]) ).
fof(c_0_45_046,plain,
~ empty(esk3_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_28])]) ).
fof(c_0_46_047,plain,
( one_sorted_str(esk2_0)
& ~ empty_carrier(esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_29])]) ).
fof(c_0_47_048,plain,
rel_str(esk10_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_30])]) ).
fof(c_0_48_049,plain,
top_str(esk9_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_31])]) ).
fof(c_0_49_050,plain,
one_sorted_str(esk8_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_32])]) ).
fof(c_0_50_051,plain,
empty(esk4_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_33])]) ).
cnf(c_0_51_052,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| in(X4,X3)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1))
| ~ is_eventually_in(X1,X2,esk12_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_52_053,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| in(X4,X3)
| point_neighbourhood(esk12_4(X1,X2,X3,X4),X1,X4)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_53_054,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| X3 = lim_points_of_net(X1,X2)
| point_neighbourhood(esk14_3(X1,X2,X3),X1,esk13_3(X1,X2,X3))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(esk13_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_54_055,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| X3 = lim_points_of_net(X1,X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(esk13_3(X1,X2,X3),X3)
| ~ is_eventually_in(X1,X2,esk14_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_55_056,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| X3 = lim_points_of_net(X1,X2)
| is_eventually_in(X1,X2,X4)
| in(esk13_3(X1,X2,X3),X3)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ point_neighbourhood(X4,X1,esk13_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_56_057,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_a_cluster_point_of_netstr(X1,X2,X3)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X1))
| ~ is_often_in(X1,X2,esk11_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_57_058,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_eventually_in(X1,X2,X5)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1))
| ~ point_neighbourhood(X5,X1,X4)
| ~ in(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_58_059,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_often_in(X1,X2,X4)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X1))
| ~ point_neighbourhood(X4,X1,X3)
| ~ is_a_cluster_point_of_netstr(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_59_060,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_a_cluster_point_of_netstr(X1,X2,X3)
| point_neighbourhood(esk11_3(X1,X2,X3),X1,X3)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_60_061,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| X3 = lim_points_of_net(X1,X2)
| element(esk13_3(X1,X2,X3),the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_61_062,plain,
( is_often_in(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ is_eventually_in(X1,X2,X3)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_62_063,plain,
( element(X1,powerset(the_carrier(X2)))
| empty_carrier(X2)
| ~ point_neighbourhood(X1,X2,X3)
| ~ element(X3,the_carrier(X2))
| ~ top_str(X2)
| ~ topological_space(X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_63_064,plain,
( point_neighbourhood(esk7_2(X1,X2),X1,X2)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_64_065,plain,
( ~ empty(X1)
| ~ element(X2,powerset(X1))
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_65_066,plain,
( empty_carrier(X1)
| element(esk1_1(X1),powerset(the_carrier(X1)))
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_66_067,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_67_068,plain,
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_68_069,plain,
element(esk6_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_69_070,plain,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_70_071,plain,
~ empty(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_71_072,plain,
~ empty(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_72_073,plain,
~ empty_carrier(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_73_074,plain,
rel_str(esk10_0),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_74_075,plain,
top_str(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_75_076,plain,
one_sorted_str(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_76_077,plain,
finite(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_77_078,plain,
empty(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_78_079,plain,
one_sorted_str(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_79_080,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| in(X4,X3)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1))
| ~ is_eventually_in(X1,X2,esk12_4(X1,X2,X3,X4)) ),
c_0_51,
[final] ).
cnf(c_0_80_081,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| in(X4,X3)
| point_neighbourhood(esk12_4(X1,X2,X3,X4),X1,X4)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1)) ),
c_0_52,
[final] ).
cnf(c_0_81_082,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| X3 = lim_points_of_net(X1,X2)
| point_neighbourhood(esk14_3(X1,X2,X3),X1,esk13_3(X1,X2,X3))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(esk13_3(X1,X2,X3),X3) ),
c_0_53,
[final] ).
cnf(c_0_82_083,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| X3 = lim_points_of_net(X1,X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(esk13_3(X1,X2,X3),X3)
| ~ is_eventually_in(X1,X2,esk14_3(X1,X2,X3)) ),
c_0_54,
[final] ).
cnf(c_0_83_084,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| X3 = lim_points_of_net(X1,X2)
| is_eventually_in(X1,X2,X4)
| in(esk13_3(X1,X2,X3),X3)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ point_neighbourhood(X4,X1,esk13_3(X1,X2,X3)) ),
c_0_55,
[final] ).
cnf(c_0_84_085,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_a_cluster_point_of_netstr(X1,X2,X3)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X1))
| ~ is_often_in(X1,X2,esk11_3(X1,X2,X3)) ),
c_0_56,
[final] ).
cnf(c_0_85_086,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_eventually_in(X1,X2,X5)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1))
| ~ point_neighbourhood(X5,X1,X4)
| ~ in(X4,X3) ),
c_0_57,
[final] ).
cnf(c_0_86_087,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_often_in(X1,X2,X4)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X1))
| ~ point_neighbourhood(X4,X1,X3)
| ~ is_a_cluster_point_of_netstr(X1,X2,X3) ),
c_0_58,
[final] ).
cnf(c_0_87_088,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_a_cluster_point_of_netstr(X1,X2,X3)
| point_neighbourhood(esk11_3(X1,X2,X3),X1,X3)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X1)) ),
c_0_59,
[final] ).
cnf(c_0_88_089,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| X3 = lim_points_of_net(X1,X2)
| element(esk13_3(X1,X2,X3),the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1))) ),
c_0_60,
[final] ).
cnf(c_0_89_090,plain,
( is_often_in(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ is_eventually_in(X1,X2,X3)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ one_sorted_str(X1) ),
c_0_61,
[final] ).
cnf(c_0_90_091,plain,
( element(X1,powerset(the_carrier(X2)))
| empty_carrier(X2)
| ~ point_neighbourhood(X1,X2,X3)
| ~ element(X3,the_carrier(X2))
| ~ top_str(X2)
| ~ topological_space(X2) ),
c_0_62,
[final] ).
cnf(c_0_91_092,plain,
( point_neighbourhood(esk7_2(X1,X2),X1,X2)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1) ),
c_0_63,
[final] ).
cnf(c_0_92_093,plain,
( ~ empty(X1)
| ~ element(X2,powerset(X1))
| ~ in(X3,X2) ),
c_0_64,
[final] ).
cnf(c_0_93_094,plain,
( empty_carrier(X1)
| element(esk1_1(X1),powerset(the_carrier(X1)))
| ~ one_sorted_str(X1) ),
c_0_65,
[final] ).
cnf(c_0_94_095,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
c_0_66,
[final] ).
cnf(c_0_95_096,plain,
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(esk1_1(X1)) ),
c_0_67,
[final] ).
cnf(c_0_96_097,plain,
element(esk6_1(X1),X1),
c_0_68,
[final] ).
cnf(c_0_97_098,plain,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
c_0_69,
[final] ).
cnf(c_0_98_099,plain,
~ empty(esk5_0),
c_0_70,
[final] ).
cnf(c_0_99_100,plain,
~ empty(esk3_0),
c_0_71,
[final] ).
cnf(c_0_100_101,plain,
~ empty_carrier(esk2_0),
c_0_72,
[final] ).
cnf(c_0_101_102,plain,
rel_str(esk10_0),
c_0_73,
[final] ).
cnf(c_0_102_103,plain,
top_str(esk9_0),
c_0_74,
[final] ).
cnf(c_0_103_104,plain,
one_sorted_str(esk8_0),
c_0_75,
[final] ).
cnf(c_0_104_105,plain,
finite(esk5_0),
c_0_76,
[final] ).
cnf(c_0_105_106,plain,
empty(esk4_0),
c_0_77,
[final] ).
cnf(c_0_106_107,plain,
one_sorted_str(esk2_0),
c_0_78,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_79_0,axiom,
( empty_carrier(X1)
| empty_carrier(X2)
| in(X4,X3)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1))
| ~ is_eventually_in(X1,X2,sk2_esk12_4(X1,X2,X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_79_1,axiom,
( empty_carrier(X2)
| empty_carrier(X1)
| in(X4,X3)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1))
| ~ is_eventually_in(X1,X2,sk2_esk12_4(X1,X2,X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_79_2,axiom,
( in(X4,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1))
| ~ is_eventually_in(X1,X2,sk2_esk12_4(X1,X2,X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_79_3,axiom,
( ~ top_str(X1)
| in(X4,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1))
| ~ is_eventually_in(X1,X2,sk2_esk12_4(X1,X2,X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_79_4,axiom,
( ~ topological_space(X1)
| ~ top_str(X1)
| in(X4,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1))
| ~ is_eventually_in(X1,X2,sk2_esk12_4(X1,X2,X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_79_5,axiom,
( ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| in(X4,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1))
| ~ is_eventually_in(X1,X2,sk2_esk12_4(X1,X2,X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_79_6,axiom,
( ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| in(X4,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1))
| ~ is_eventually_in(X1,X2,sk2_esk12_4(X1,X2,X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_79_7,axiom,
( ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| in(X4,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1))
| ~ is_eventually_in(X1,X2,sk2_esk12_4(X1,X2,X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_79_8,axiom,
( ~ element(X3,powerset(the_carrier(X1)))
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| in(X4,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1))
| ~ is_eventually_in(X1,X2,sk2_esk12_4(X1,X2,X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_79_9,axiom,
( X3 != lim_points_of_net(X1,X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| in(X4,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ element(X4,the_carrier(X1))
| ~ is_eventually_in(X1,X2,sk2_esk12_4(X1,X2,X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_79_10,axiom,
( ~ element(X4,the_carrier(X1))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| in(X4,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ is_eventually_in(X1,X2,sk2_esk12_4(X1,X2,X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_79_11,axiom,
( ~ is_eventually_in(X1,X2,sk2_esk12_4(X1,X2,X3,X4))
| ~ element(X4,the_carrier(X1))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| in(X4,X3)
| empty_carrier(X2)
| empty_carrier(X1) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_80_0,axiom,
( empty_carrier(X1)
| empty_carrier(X2)
| in(X4,X3)
| point_neighbourhood(sk2_esk12_4(X1,X2,X3,X4),X1,X4)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_1,axiom,
( empty_carrier(X2)
| empty_carrier(X1)
| in(X4,X3)
| point_neighbourhood(sk2_esk12_4(X1,X2,X3,X4),X1,X4)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_2,axiom,
( in(X4,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| point_neighbourhood(sk2_esk12_4(X1,X2,X3,X4),X1,X4)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_3,axiom,
( point_neighbourhood(sk2_esk12_4(X1,X2,X3,X4),X1,X4)
| in(X4,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_4,axiom,
( ~ top_str(X1)
| point_neighbourhood(sk2_esk12_4(X1,X2,X3,X4),X1,X4)
| in(X4,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_5,axiom,
( ~ topological_space(X1)
| ~ top_str(X1)
| point_neighbourhood(sk2_esk12_4(X1,X2,X3,X4),X1,X4)
| in(X4,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_6,axiom,
( ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| point_neighbourhood(sk2_esk12_4(X1,X2,X3,X4),X1,X4)
| in(X4,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_7,axiom,
( ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| point_neighbourhood(sk2_esk12_4(X1,X2,X3,X4),X1,X4)
| in(X4,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_8,axiom,
( ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| point_neighbourhood(sk2_esk12_4(X1,X2,X3,X4),X1,X4)
| in(X4,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_9,axiom,
( ~ element(X3,powerset(the_carrier(X1)))
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| point_neighbourhood(sk2_esk12_4(X1,X2,X3,X4),X1,X4)
| in(X4,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_10,axiom,
( X3 != lim_points_of_net(X1,X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| point_neighbourhood(sk2_esk12_4(X1,X2,X3,X4),X1,X4)
| in(X4,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ element(X4,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_11,axiom,
( ~ element(X4,the_carrier(X1))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| point_neighbourhood(sk2_esk12_4(X1,X2,X3,X4),X1,X4)
| in(X4,X3)
| empty_carrier(X2)
| empty_carrier(X1) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_81_0,axiom,
( empty_carrier(X1)
| empty_carrier(X2)
| X3 = lim_points_of_net(X1,X2)
| point_neighbourhood(sk2_esk14_3(X1,X2,X3),X1,sk2_esk13_3(X1,X2,X3))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(sk2_esk13_3(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_1,axiom,
( empty_carrier(X2)
| empty_carrier(X1)
| X3 = lim_points_of_net(X1,X2)
| point_neighbourhood(sk2_esk14_3(X1,X2,X3),X1,sk2_esk13_3(X1,X2,X3))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(sk2_esk13_3(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_2,axiom,
( X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| point_neighbourhood(sk2_esk14_3(X1,X2,X3),X1,sk2_esk13_3(X1,X2,X3))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(sk2_esk13_3(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_3,axiom,
( point_neighbourhood(sk2_esk14_3(X1,X2,X3),X1,sk2_esk13_3(X1,X2,X3))
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(sk2_esk13_3(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_4,axiom,
( ~ top_str(X1)
| point_neighbourhood(sk2_esk14_3(X1,X2,X3),X1,sk2_esk13_3(X1,X2,X3))
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(sk2_esk13_3(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_5,axiom,
( ~ topological_space(X1)
| ~ top_str(X1)
| point_neighbourhood(sk2_esk14_3(X1,X2,X3),X1,sk2_esk13_3(X1,X2,X3))
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(sk2_esk13_3(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_6,axiom,
( ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| point_neighbourhood(sk2_esk14_3(X1,X2,X3),X1,sk2_esk13_3(X1,X2,X3))
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(sk2_esk13_3(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_7,axiom,
( ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| point_neighbourhood(sk2_esk14_3(X1,X2,X3),X1,sk2_esk13_3(X1,X2,X3))
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(sk2_esk13_3(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_8,axiom,
( ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| point_neighbourhood(sk2_esk14_3(X1,X2,X3),X1,sk2_esk13_3(X1,X2,X3))
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(sk2_esk13_3(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_9,axiom,
( ~ element(X3,powerset(the_carrier(X1)))
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| point_neighbourhood(sk2_esk14_3(X1,X2,X3),X1,sk2_esk13_3(X1,X2,X3))
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ in(sk2_esk13_3(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_10,axiom,
( ~ in(sk2_esk13_3(X1,X2,X3),X3)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| point_neighbourhood(sk2_esk14_3(X1,X2,X3),X1,sk2_esk13_3(X1,X2,X3))
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_82_0,axiom,
( empty_carrier(X1)
| empty_carrier(X2)
| X3 = lim_points_of_net(X1,X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(sk2_esk13_3(X1,X2,X3),X3)
| ~ is_eventually_in(X1,X2,sk2_esk14_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_82_1,axiom,
( empty_carrier(X2)
| empty_carrier(X1)
| X3 = lim_points_of_net(X1,X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(sk2_esk13_3(X1,X2,X3),X3)
| ~ is_eventually_in(X1,X2,sk2_esk14_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_82_2,axiom,
( X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(sk2_esk13_3(X1,X2,X3),X3)
| ~ is_eventually_in(X1,X2,sk2_esk14_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_82_3,axiom,
( ~ top_str(X1)
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(sk2_esk13_3(X1,X2,X3),X3)
| ~ is_eventually_in(X1,X2,sk2_esk14_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_82_4,axiom,
( ~ topological_space(X1)
| ~ top_str(X1)
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(sk2_esk13_3(X1,X2,X3),X3)
| ~ is_eventually_in(X1,X2,sk2_esk14_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_82_5,axiom,
( ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(sk2_esk13_3(X1,X2,X3),X3)
| ~ is_eventually_in(X1,X2,sk2_esk14_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_82_6,axiom,
( ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(sk2_esk13_3(X1,X2,X3),X3)
| ~ is_eventually_in(X1,X2,sk2_esk14_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_82_7,axiom,
( ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(sk2_esk13_3(X1,X2,X3),X3)
| ~ is_eventually_in(X1,X2,sk2_esk14_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_82_8,axiom,
( ~ element(X3,powerset(the_carrier(X1)))
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ in(sk2_esk13_3(X1,X2,X3),X3)
| ~ is_eventually_in(X1,X2,sk2_esk14_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_82_9,axiom,
( ~ in(sk2_esk13_3(X1,X2,X3),X3)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ is_eventually_in(X1,X2,sk2_esk14_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_82_10,axiom,
( ~ is_eventually_in(X1,X2,sk2_esk14_3(X1,X2,X3))
| ~ in(sk2_esk13_3(X1,X2,X3),X3)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_83_0,axiom,
( empty_carrier(X1)
| empty_carrier(X2)
| X3 = lim_points_of_net(X1,X2)
| is_eventually_in(X1,X2,X4)
| in(sk2_esk13_3(X1,X2,X3),X3)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ point_neighbourhood(X4,X1,sk2_esk13_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_83_1,axiom,
( empty_carrier(X2)
| empty_carrier(X1)
| X3 = lim_points_of_net(X1,X2)
| is_eventually_in(X1,X2,X4)
| in(sk2_esk13_3(X1,X2,X3),X3)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ point_neighbourhood(X4,X1,sk2_esk13_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_83_2,axiom,
( X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| is_eventually_in(X1,X2,X4)
| in(sk2_esk13_3(X1,X2,X3),X3)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ point_neighbourhood(X4,X1,sk2_esk13_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_83_3,axiom,
( is_eventually_in(X1,X2,X4)
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| in(sk2_esk13_3(X1,X2,X3),X3)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ point_neighbourhood(X4,X1,sk2_esk13_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_83_4,axiom,
( in(sk2_esk13_3(X1,X2,X3),X3)
| is_eventually_in(X1,X2,X4)
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ point_neighbourhood(X4,X1,sk2_esk13_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_83_5,axiom,
( ~ top_str(X1)
| in(sk2_esk13_3(X1,X2,X3),X3)
| is_eventually_in(X1,X2,X4)
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ point_neighbourhood(X4,X1,sk2_esk13_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_83_6,axiom,
( ~ topological_space(X1)
| ~ top_str(X1)
| in(sk2_esk13_3(X1,X2,X3),X3)
| is_eventually_in(X1,X2,X4)
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ point_neighbourhood(X4,X1,sk2_esk13_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_83_7,axiom,
( ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| in(sk2_esk13_3(X1,X2,X3),X3)
| is_eventually_in(X1,X2,X4)
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ point_neighbourhood(X4,X1,sk2_esk13_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_83_8,axiom,
( ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| in(sk2_esk13_3(X1,X2,X3),X3)
| is_eventually_in(X1,X2,X4)
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ point_neighbourhood(X4,X1,sk2_esk13_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_83_9,axiom,
( ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| in(sk2_esk13_3(X1,X2,X3),X3)
| is_eventually_in(X1,X2,X4)
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ point_neighbourhood(X4,X1,sk2_esk13_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_83_10,axiom,
( ~ element(X3,powerset(the_carrier(X1)))
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| in(sk2_esk13_3(X1,X2,X3),X3)
| is_eventually_in(X1,X2,X4)
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ point_neighbourhood(X4,X1,sk2_esk13_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_83_11,axiom,
( ~ point_neighbourhood(X4,X1,sk2_esk13_3(X1,X2,X3))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| in(sk2_esk13_3(X1,X2,X3),X3)
| is_eventually_in(X1,X2,X4)
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_84_0,axiom,
( empty_carrier(X1)
| empty_carrier(X2)
| is_a_cluster_point_of_netstr(X1,X2,X3)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X1))
| ~ is_often_in(X1,X2,sk2_esk11_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_84_1,axiom,
( empty_carrier(X2)
| empty_carrier(X1)
| is_a_cluster_point_of_netstr(X1,X2,X3)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X1))
| ~ is_often_in(X1,X2,sk2_esk11_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_84_2,axiom,
( is_a_cluster_point_of_netstr(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X1))
| ~ is_often_in(X1,X2,sk2_esk11_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_84_3,axiom,
( ~ top_str(X1)
| is_a_cluster_point_of_netstr(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X1))
| ~ is_often_in(X1,X2,sk2_esk11_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_84_4,axiom,
( ~ topological_space(X1)
| ~ top_str(X1)
| is_a_cluster_point_of_netstr(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X1))
| ~ is_often_in(X1,X2,sk2_esk11_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_84_5,axiom,
( ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| is_a_cluster_point_of_netstr(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ element(X3,the_carrier(X1))
| ~ is_often_in(X1,X2,sk2_esk11_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_84_6,axiom,
( ~ element(X3,the_carrier(X1))
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| is_a_cluster_point_of_netstr(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ is_often_in(X1,X2,sk2_esk11_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_84_7,axiom,
( ~ is_often_in(X1,X2,sk2_esk11_3(X1,X2,X3))
| ~ element(X3,the_carrier(X1))
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| is_a_cluster_point_of_netstr(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1) ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_85_0,axiom,
( empty_carrier(X1)
| empty_carrier(X2)
| is_eventually_in(X1,X2,X5)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1))
| ~ point_neighbourhood(X5,X1,X4)
| ~ in(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_1,axiom,
( empty_carrier(X2)
| empty_carrier(X1)
| is_eventually_in(X1,X2,X5)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1))
| ~ point_neighbourhood(X5,X1,X4)
| ~ in(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_2,axiom,
( is_eventually_in(X1,X2,X5)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1))
| ~ point_neighbourhood(X5,X1,X4)
| ~ in(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_3,axiom,
( ~ top_str(X1)
| is_eventually_in(X1,X2,X5)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1))
| ~ point_neighbourhood(X5,X1,X4)
| ~ in(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_4,axiom,
( ~ topological_space(X1)
| ~ top_str(X1)
| is_eventually_in(X1,X2,X5)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1))
| ~ point_neighbourhood(X5,X1,X4)
| ~ in(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_5,axiom,
( ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| is_eventually_in(X1,X2,X5)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1))
| ~ point_neighbourhood(X5,X1,X4)
| ~ in(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_6,axiom,
( ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| is_eventually_in(X1,X2,X5)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1))
| ~ point_neighbourhood(X5,X1,X4)
| ~ in(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_7,axiom,
( ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| is_eventually_in(X1,X2,X5)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1))
| ~ point_neighbourhood(X5,X1,X4)
| ~ in(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_8,axiom,
( ~ element(X3,powerset(the_carrier(X1)))
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| is_eventually_in(X1,X2,X5)
| empty_carrier(X2)
| empty_carrier(X1)
| X3 != lim_points_of_net(X1,X2)
| ~ element(X4,the_carrier(X1))
| ~ point_neighbourhood(X5,X1,X4)
| ~ in(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_9,axiom,
( X3 != lim_points_of_net(X1,X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| is_eventually_in(X1,X2,X5)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ element(X4,the_carrier(X1))
| ~ point_neighbourhood(X5,X1,X4)
| ~ in(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_10,axiom,
( ~ element(X4,the_carrier(X1))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| is_eventually_in(X1,X2,X5)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ point_neighbourhood(X5,X1,X4)
| ~ in(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_11,axiom,
( ~ point_neighbourhood(X5,X1,X4)
| ~ element(X4,the_carrier(X1))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| is_eventually_in(X1,X2,X5)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ in(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_12,axiom,
( ~ in(X4,X3)
| ~ point_neighbourhood(X5,X1,X4)
| ~ element(X4,the_carrier(X1))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| is_eventually_in(X1,X2,X5)
| empty_carrier(X2)
| empty_carrier(X1) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_86_0,axiom,
( empty_carrier(X1)
| empty_carrier(X2)
| is_often_in(X1,X2,X4)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X1))
| ~ point_neighbourhood(X4,X1,X3)
| ~ is_a_cluster_point_of_netstr(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_1,axiom,
( empty_carrier(X2)
| empty_carrier(X1)
| is_often_in(X1,X2,X4)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X1))
| ~ point_neighbourhood(X4,X1,X3)
| ~ is_a_cluster_point_of_netstr(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_2,axiom,
( is_often_in(X1,X2,X4)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X1))
| ~ point_neighbourhood(X4,X1,X3)
| ~ is_a_cluster_point_of_netstr(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_3,axiom,
( ~ top_str(X1)
| is_often_in(X1,X2,X4)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X1))
| ~ point_neighbourhood(X4,X1,X3)
| ~ is_a_cluster_point_of_netstr(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_4,axiom,
( ~ topological_space(X1)
| ~ top_str(X1)
| is_often_in(X1,X2,X4)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X1))
| ~ point_neighbourhood(X4,X1,X3)
| ~ is_a_cluster_point_of_netstr(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_5,axiom,
( ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| is_often_in(X1,X2,X4)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ element(X3,the_carrier(X1))
| ~ point_neighbourhood(X4,X1,X3)
| ~ is_a_cluster_point_of_netstr(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_6,axiom,
( ~ element(X3,the_carrier(X1))
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| is_often_in(X1,X2,X4)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ point_neighbourhood(X4,X1,X3)
| ~ is_a_cluster_point_of_netstr(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_7,axiom,
( ~ point_neighbourhood(X4,X1,X3)
| ~ element(X3,the_carrier(X1))
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| is_often_in(X1,X2,X4)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ is_a_cluster_point_of_netstr(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_8,axiom,
( ~ is_a_cluster_point_of_netstr(X1,X2,X3)
| ~ point_neighbourhood(X4,X1,X3)
| ~ element(X3,the_carrier(X1))
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| is_often_in(X1,X2,X4)
| empty_carrier(X2)
| empty_carrier(X1) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_87_0,axiom,
( empty_carrier(X1)
| empty_carrier(X2)
| is_a_cluster_point_of_netstr(X1,X2,X3)
| point_neighbourhood(sk2_esk11_3(X1,X2,X3),X1,X3)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_87_1,axiom,
( empty_carrier(X2)
| empty_carrier(X1)
| is_a_cluster_point_of_netstr(X1,X2,X3)
| point_neighbourhood(sk2_esk11_3(X1,X2,X3),X1,X3)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_87_2,axiom,
( is_a_cluster_point_of_netstr(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| point_neighbourhood(sk2_esk11_3(X1,X2,X3),X1,X3)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_87_3,axiom,
( point_neighbourhood(sk2_esk11_3(X1,X2,X3),X1,X3)
| is_a_cluster_point_of_netstr(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_87_4,axiom,
( ~ top_str(X1)
| point_neighbourhood(sk2_esk11_3(X1,X2,X3),X1,X3)
| is_a_cluster_point_of_netstr(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_87_5,axiom,
( ~ topological_space(X1)
| ~ top_str(X1)
| point_neighbourhood(sk2_esk11_3(X1,X2,X3),X1,X3)
| is_a_cluster_point_of_netstr(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_87_6,axiom,
( ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| point_neighbourhood(sk2_esk11_3(X1,X2,X3),X1,X3)
| is_a_cluster_point_of_netstr(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ element(X3,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_87_7,axiom,
( ~ element(X3,the_carrier(X1))
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| point_neighbourhood(sk2_esk11_3(X1,X2,X3),X1,X3)
| is_a_cluster_point_of_netstr(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_88_0,axiom,
( empty_carrier(X1)
| empty_carrier(X2)
| X3 = lim_points_of_net(X1,X2)
| element(sk2_esk13_3(X1,X2,X3),the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_1,axiom,
( empty_carrier(X2)
| empty_carrier(X1)
| X3 = lim_points_of_net(X1,X2)
| element(sk2_esk13_3(X1,X2,X3),the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_2,axiom,
( X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| element(sk2_esk13_3(X1,X2,X3),the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_3,axiom,
( element(sk2_esk13_3(X1,X2,X3),the_carrier(X1))
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_4,axiom,
( ~ top_str(X1)
| element(sk2_esk13_3(X1,X2,X3),the_carrier(X1))
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_5,axiom,
( ~ topological_space(X1)
| ~ top_str(X1)
| element(sk2_esk13_3(X1,X2,X3),the_carrier(X1))
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_6,axiom,
( ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| element(sk2_esk13_3(X1,X2,X3),the_carrier(X1))
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_7,axiom,
( ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| element(sk2_esk13_3(X1,X2,X3),the_carrier(X1))
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ transitive_relstr(X2)
| ~ element(X3,powerset(the_carrier(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_8,axiom,
( ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| element(sk2_esk13_3(X1,X2,X3),the_carrier(X1))
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ element(X3,powerset(the_carrier(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_9,axiom,
( ~ element(X3,powerset(the_carrier(X1)))
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| element(sk2_esk13_3(X1,X2,X3),the_carrier(X1))
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_89_0,axiom,
( is_often_in(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ is_eventually_in(X1,X2,X3)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ one_sorted_str(X1) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_1,axiom,
( empty_carrier(X2)
| is_often_in(X1,X2,X3)
| empty_carrier(X1)
| ~ is_eventually_in(X1,X2,X3)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ one_sorted_str(X1) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_2,axiom,
( empty_carrier(X1)
| empty_carrier(X2)
| is_often_in(X1,X2,X3)
| ~ is_eventually_in(X1,X2,X3)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ one_sorted_str(X1) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_3,axiom,
( ~ is_eventually_in(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| is_often_in(X1,X2,X3)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ one_sorted_str(X1) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_4,axiom,
( ~ net_str(X2,X1)
| ~ is_eventually_in(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| is_often_in(X1,X2,X3)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ one_sorted_str(X1) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_5,axiom,
( ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ is_eventually_in(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| is_often_in(X1,X2,X3)
| ~ transitive_relstr(X2)
| ~ one_sorted_str(X1) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_6,axiom,
( ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ is_eventually_in(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| is_often_in(X1,X2,X3)
| ~ one_sorted_str(X1) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_7,axiom,
( ~ one_sorted_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ is_eventually_in(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| is_often_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_90_0,axiom,
( element(X1,powerset(the_carrier(X2)))
| empty_carrier(X2)
| ~ point_neighbourhood(X1,X2,X3)
| ~ element(X3,the_carrier(X2))
| ~ top_str(X2)
| ~ topological_space(X2) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_90_1,axiom,
( empty_carrier(X2)
| element(X1,powerset(the_carrier(X2)))
| ~ point_neighbourhood(X1,X2,X3)
| ~ element(X3,the_carrier(X2))
| ~ top_str(X2)
| ~ topological_space(X2) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_90_2,axiom,
( ~ point_neighbourhood(X1,X2,X3)
| empty_carrier(X2)
| element(X1,powerset(the_carrier(X2)))
| ~ element(X3,the_carrier(X2))
| ~ top_str(X2)
| ~ topological_space(X2) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_90_3,axiom,
( ~ element(X3,the_carrier(X2))
| ~ point_neighbourhood(X1,X2,X3)
| empty_carrier(X2)
| element(X1,powerset(the_carrier(X2)))
| ~ top_str(X2)
| ~ topological_space(X2) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_90_4,axiom,
( ~ top_str(X2)
| ~ element(X3,the_carrier(X2))
| ~ point_neighbourhood(X1,X2,X3)
| empty_carrier(X2)
| element(X1,powerset(the_carrier(X2)))
| ~ topological_space(X2) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_90_5,axiom,
( ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X3,the_carrier(X2))
| ~ point_neighbourhood(X1,X2,X3)
| empty_carrier(X2)
| element(X1,powerset(the_carrier(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_91_0,axiom,
( point_neighbourhood(sk2_esk7_2(X1,X2),X1,X2)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_1,axiom,
( empty_carrier(X1)
| point_neighbourhood(sk2_esk7_2(X1,X2),X1,X2)
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_2,axiom,
( ~ element(X2,the_carrier(X1))
| empty_carrier(X1)
| point_neighbourhood(sk2_esk7_2(X1,X2),X1,X2)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_3,axiom,
( ~ top_str(X1)
| ~ element(X2,the_carrier(X1))
| empty_carrier(X1)
| point_neighbourhood(sk2_esk7_2(X1,X2),X1,X2)
| ~ topological_space(X1) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_4,axiom,
( ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,the_carrier(X1))
| empty_carrier(X1)
| point_neighbourhood(sk2_esk7_2(X1,X2),X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_92_0,axiom,
( ~ empty(X1)
| ~ element(X2,powerset(X1))
| ~ in(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_1,axiom,
( ~ element(X2,powerset(X1))
| ~ empty(X1)
| ~ in(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_2,axiom,
( ~ in(X3,X2)
| ~ element(X2,powerset(X1))
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_93_0,axiom,
( empty_carrier(X1)
| element(sk2_esk1_1(X1),powerset(the_carrier(X1)))
| ~ one_sorted_str(X1) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_1,axiom,
( element(sk2_esk1_1(X1),powerset(the_carrier(X1)))
| empty_carrier(X1)
| ~ one_sorted_str(X1) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_2,axiom,
( ~ one_sorted_str(X1)
| element(sk2_esk1_1(X1),powerset(the_carrier(X1)))
| empty_carrier(X1) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_94_0,axiom,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_1,axiom,
( ~ in(X2,X1)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_95_0,axiom,
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(sk2_esk1_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_1,axiom,
( ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ empty(sk2_esk1_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_2,axiom,
( ~ empty(sk2_esk1_1(X1))
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_97_0,axiom,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_1,axiom,
( ~ empty(X1)
| X2 = X1
| ~ empty(X2) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_2,axiom,
( ~ empty(X2)
| ~ empty(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_98_0,axiom,
~ empty(sk2_esk5_0),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_99_0,axiom,
~ empty(sk2_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_100_0,axiom,
~ empty_carrier(sk2_esk2_0),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_96_0,axiom,
element(sk2_esk6_1(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_101_0,axiom,
rel_str(sk2_esk10_0),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_102_0,axiom,
top_str(sk2_esk9_0),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_103_0,axiom,
one_sorted_str(sk2_esk8_0),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_104_0,axiom,
finite(sk2_esk5_0),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_105_0,axiom,
empty(sk2_esk4_0),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_106_0,axiom,
one_sorted_str(sk2_esk2_0),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_108,conjecture,
! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& transitive_relstr(X2)
& directed_relstr(X2)
& net_str(X2,X1) )
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( in(X3,lim_points_of_net(X1,X2))
=> is_a_cluster_point_of_netstr(X1,X2,X3) ) ) ) ),
file('<stdin>',t29_waybel_9) ).
fof(c_0_1_109,negated_conjecture,
~ ! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& transitive_relstr(X2)
& directed_relstr(X2)
& net_str(X2,X1) )
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( in(X3,lim_points_of_net(X1,X2))
=> is_a_cluster_point_of_netstr(X1,X2,X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).
fof(c_0_2_110,negated_conjecture,
( ~ empty_carrier(esk1_0)
& topological_space(esk1_0)
& top_str(esk1_0)
& ~ empty_carrier(esk2_0)
& transitive_relstr(esk2_0)
& directed_relstr(esk2_0)
& net_str(esk2_0,esk1_0)
& element(esk3_0,the_carrier(esk1_0))
& in(esk3_0,lim_points_of_net(esk1_0,esk2_0))
& ~ is_a_cluster_point_of_netstr(esk1_0,esk2_0,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
cnf(c_0_3_111,negated_conjecture,
~ is_a_cluster_point_of_netstr(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_112,negated_conjecture,
in(esk3_0,lim_points_of_net(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_113,negated_conjecture,
element(esk3_0,the_carrier(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_114,negated_conjecture,
net_str(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7_115,negated_conjecture,
~ empty_carrier(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8_116,negated_conjecture,
~ empty_carrier(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9_117,negated_conjecture,
topological_space(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_10_118,negated_conjecture,
top_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_11_119,negated_conjecture,
transitive_relstr(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_12_120,negated_conjecture,
directed_relstr(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_13_121,negated_conjecture,
~ is_a_cluster_point_of_netstr(esk1_0,esk2_0,esk3_0),
c_0_3,
[final] ).
cnf(c_0_14_122,negated_conjecture,
in(esk3_0,lim_points_of_net(esk1_0,esk2_0)),
c_0_4,
[final] ).
cnf(c_0_15_123,negated_conjecture,
element(esk3_0,the_carrier(esk1_0)),
c_0_5,
[final] ).
cnf(c_0_16_124,negated_conjecture,
net_str(esk2_0,esk1_0),
c_0_6,
[final] ).
cnf(c_0_17_125,negated_conjecture,
~ empty_carrier(esk1_0),
c_0_7,
[final] ).
cnf(c_0_18_126,negated_conjecture,
~ empty_carrier(esk2_0),
c_0_8,
[final] ).
cnf(c_0_19_127,negated_conjecture,
topological_space(esk1_0),
c_0_9,
[final] ).
cnf(c_0_20_128,negated_conjecture,
top_str(esk1_0),
c_0_10,
[final] ).
cnf(c_0_21_129,negated_conjecture,
transitive_relstr(esk2_0),
c_0_11,
[final] ).
cnf(c_0_22_130,negated_conjecture,
directed_relstr(esk2_0),
c_0_12,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_106,plain,
( ~ one_sorted_str(X0)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| ~ is_eventually_in(X0,X1,X2)
| empty_carrier(X0)
| empty_carrier(X1)
| is_often_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_a7e09c.p',c_0_89_0) ).
cnf(c_415,plain,
( ~ one_sorted_str(X0)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| ~ is_eventually_in(X0,X1,X2)
| empty_carrier(X0)
| empty_carrier(X1)
| is_often_in(X0,X1,X2) ),
inference(copy,[status(esa)],[c_106]) ).
cnf(c_27406,plain,
( empty_carrier(sk3_esk2_0)
| empty_carrier(X0)
| ~ net_str(sk3_esk2_0,X0)
| ~ directed_relstr(sk3_esk2_0)
| ~ transitive_relstr(sk3_esk2_0)
| ~ is_eventually_in(X0,sk3_esk2_0,X1)
| is_often_in(X0,sk3_esk2_0,X1)
| ~ one_sorted_str(X0) ),
inference(instantiation,[status(thm)],[c_415]) ).
cnf(c_99847,plain,
( empty_carrier(sk3_esk1_0)
| empty_carrier(sk3_esk2_0)
| ~ net_str(sk3_esk2_0,sk3_esk1_0)
| ~ directed_relstr(sk3_esk2_0)
| ~ transitive_relstr(sk3_esk2_0)
| ~ is_eventually_in(sk3_esk1_0,sk3_esk2_0,sk2_esk11_3(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0))
| is_often_in(sk3_esk1_0,sk3_esk2_0,sk2_esk11_3(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0))
| ~ one_sorted_str(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_27406]) ).
cnf(c_66,plain,
( ~ in(X0,X1)
| ~ point_neighbourhood(X2,X3,X0)
| ~ element(X0,the_carrier(X3))
| X1 != lim_points_of_net(X3,X4)
| ~ element(X1,powerset(the_carrier(X3)))
| ~ transitive_relstr(X4)
| ~ directed_relstr(X4)
| ~ net_str(X4,X3)
| ~ topological_space(X3)
| ~ top_str(X3)
| is_eventually_in(X3,X4,X2)
| empty_carrier(X4)
| empty_carrier(X3) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_a7e09c.p',c_0_85_0) ).
cnf(c_375,plain,
( ~ in(X0,X1)
| ~ point_neighbourhood(X2,X3,X0)
| ~ element(X0,the_carrier(X3))
| X1 != lim_points_of_net(X3,X4)
| ~ element(X1,powerset(the_carrier(X3)))
| ~ transitive_relstr(X4)
| ~ directed_relstr(X4)
| ~ net_str(X4,X3)
| ~ topological_space(X3)
| ~ top_str(X3)
| is_eventually_in(X3,X4,X2)
| empty_carrier(X4)
| empty_carrier(X3) ),
inference(copy,[status(esa)],[c_66]) ).
cnf(c_27534,plain,
( empty_carrier(sk3_esk2_0)
| empty_carrier(X0)
| ~ in(X1,X2)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ net_str(sk3_esk2_0,X0)
| ~ directed_relstr(sk3_esk2_0)
| ~ transitive_relstr(sk3_esk2_0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,powerset(the_carrier(X0)))
| is_eventually_in(X0,sk3_esk2_0,X3)
| ~ point_neighbourhood(X3,X0,X1)
| X2 != lim_points_of_net(X0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_375]) ).
cnf(c_27659,plain,
( empty_carrier(sk3_esk2_0)
| empty_carrier(X0)
| ~ in(sk3_esk3_0,lim_points_of_net(sk3_esk1_0,sk3_esk2_0))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ net_str(sk3_esk2_0,X0)
| ~ directed_relstr(sk3_esk2_0)
| ~ transitive_relstr(sk3_esk2_0)
| ~ element(lim_points_of_net(sk3_esk1_0,sk3_esk2_0),powerset(the_carrier(X0)))
| ~ element(sk3_esk3_0,the_carrier(X0))
| is_eventually_in(X0,sk3_esk2_0,X1)
| ~ point_neighbourhood(X1,X0,sk3_esk3_0)
| lim_points_of_net(sk3_esk1_0,sk3_esk2_0) != lim_points_of_net(X0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_27534]) ).
cnf(c_63633,plain,
( empty_carrier(sk3_esk1_0)
| empty_carrier(sk3_esk2_0)
| ~ in(sk3_esk3_0,lim_points_of_net(sk3_esk1_0,sk3_esk2_0))
| ~ top_str(sk3_esk1_0)
| ~ topological_space(sk3_esk1_0)
| ~ net_str(sk3_esk2_0,sk3_esk1_0)
| ~ directed_relstr(sk3_esk2_0)
| ~ transitive_relstr(sk3_esk2_0)
| ~ element(lim_points_of_net(sk3_esk1_0,sk3_esk2_0),powerset(the_carrier(sk3_esk1_0)))
| ~ element(sk3_esk3_0,the_carrier(sk3_esk1_0))
| is_eventually_in(sk3_esk1_0,sk3_esk2_0,sk2_esk11_3(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0))
| ~ point_neighbourhood(sk2_esk11_3(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0),sk3_esk1_0,sk3_esk3_0)
| lim_points_of_net(sk3_esk1_0,sk3_esk2_0) != lim_points_of_net(sk3_esk1_0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_27659]) ).
cnf(c_99846,plain,
( empty_carrier(sk3_esk1_0)
| empty_carrier(sk3_esk2_0)
| ~ in(sk3_esk3_0,lim_points_of_net(sk3_esk1_0,sk3_esk2_0))
| ~ top_str(sk3_esk1_0)
| ~ topological_space(sk3_esk1_0)
| ~ net_str(sk3_esk2_0,sk3_esk1_0)
| ~ directed_relstr(sk3_esk2_0)
| ~ transitive_relstr(sk3_esk2_0)
| ~ element(lim_points_of_net(sk3_esk1_0,sk3_esk2_0),powerset(the_carrier(sk3_esk1_0)))
| ~ element(sk3_esk3_0,the_carrier(sk3_esk1_0))
| is_eventually_in(sk3_esk1_0,sk3_esk2_0,sk2_esk11_3(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0))
| ~ point_neighbourhood(sk2_esk11_3(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0),sk3_esk1_0,sk3_esk3_0) ),
inference(equality_resolution_simp,[status(esa)],[c_63633]) ).
cnf(c_88,plain,
( ~ element(X0,the_carrier(X1))
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| point_neighbourhood(sk2_esk11_3(X1,X2,X0),X1,X0)
| is_a_cluster_point_of_netstr(X1,X2,X0)
| empty_carrier(X2)
| empty_carrier(X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_a7e09c.p',c_0_87_0) ).
cnf(c_397,plain,
( ~ element(X0,the_carrier(X1))
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| point_neighbourhood(sk2_esk11_3(X1,X2,X0),X1,X0)
| is_a_cluster_point_of_netstr(X1,X2,X0)
| empty_carrier(X2)
| empty_carrier(X1) ),
inference(copy,[status(esa)],[c_88]) ).
cnf(c_27437,plain,
( empty_carrier(sk3_esk1_0)
| empty_carrier(sk3_esk2_0)
| ~ top_str(sk3_esk1_0)
| ~ topological_space(sk3_esk1_0)
| ~ net_str(sk3_esk2_0,sk3_esk1_0)
| ~ element(X0,the_carrier(sk3_esk1_0))
| point_neighbourhood(sk2_esk11_3(sk3_esk1_0,sk3_esk2_0,X0),sk3_esk1_0,X0)
| is_a_cluster_point_of_netstr(sk3_esk1_0,sk3_esk2_0,X0) ),
inference(instantiation,[status(thm)],[c_397]) ).
cnf(c_27606,plain,
( empty_carrier(sk3_esk1_0)
| empty_carrier(sk3_esk2_0)
| ~ top_str(sk3_esk1_0)
| ~ topological_space(sk3_esk1_0)
| ~ net_str(sk3_esk2_0,sk3_esk1_0)
| ~ element(sk3_esk3_0,the_carrier(sk3_esk1_0))
| point_neighbourhood(sk2_esk11_3(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0),sk3_esk1_0,sk3_esk3_0)
| is_a_cluster_point_of_netstr(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0) ),
inference(instantiation,[status(thm)],[c_27437]) ).
cnf(c_58,plain,
( ~ is_often_in(X0,X1,sk2_esk11_3(X0,X1,X2))
| ~ element(X2,the_carrier(X0))
| ~ net_str(X1,X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| is_a_cluster_point_of_netstr(X0,X1,X2)
| empty_carrier(X1)
| empty_carrier(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_a7e09c.p',c_0_84_0) ).
cnf(c_367,plain,
( ~ is_often_in(X0,X1,sk2_esk11_3(X0,X1,X2))
| ~ element(X2,the_carrier(X0))
| ~ net_str(X1,X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| is_a_cluster_point_of_netstr(X0,X1,X2)
| empty_carrier(X1)
| empty_carrier(X0) ),
inference(copy,[status(esa)],[c_58]) ).
cnf(c_27419,plain,
( empty_carrier(sk3_esk1_0)
| empty_carrier(sk3_esk2_0)
| ~ top_str(sk3_esk1_0)
| ~ topological_space(sk3_esk1_0)
| ~ net_str(sk3_esk2_0,sk3_esk1_0)
| ~ element(X0,the_carrier(sk3_esk1_0))
| is_a_cluster_point_of_netstr(sk3_esk1_0,sk3_esk2_0,X0)
| ~ is_often_in(sk3_esk1_0,sk3_esk2_0,sk2_esk11_3(sk3_esk1_0,sk3_esk2_0,X0)) ),
inference(instantiation,[status(thm)],[c_367]) ).
cnf(c_27604,plain,
( empty_carrier(sk3_esk1_0)
| empty_carrier(sk3_esk2_0)
| ~ top_str(sk3_esk1_0)
| ~ topological_space(sk3_esk1_0)
| ~ net_str(sk3_esk2_0,sk3_esk1_0)
| ~ element(sk3_esk3_0,the_carrier(sk3_esk1_0))
| is_a_cluster_point_of_netstr(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)
| ~ is_often_in(sk3_esk1_0,sk3_esk2_0,sk2_esk11_3(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)) ),
inference(instantiation,[status(thm)],[c_27419]) ).
cnf(c_184,plain,
( ~ topological_space(X0)
| ~ top_str(X0)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| empty_carrier(X1)
| element(lim_points_of_net(X0,X1),powerset(the_carrier(X0))) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_a7e09c.p',c_0_129_0) ).
cnf(c_493,plain,
( ~ topological_space(X0)
| ~ top_str(X0)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| empty_carrier(X1)
| element(lim_points_of_net(X0,X1),powerset(the_carrier(X0))) ),
inference(copy,[status(esa)],[c_184]) ).
cnf(c_27404,plain,
( empty_carrier(sk3_esk2_0)
| empty_carrier(X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ net_str(sk3_esk2_0,X0)
| ~ directed_relstr(sk3_esk2_0)
| ~ transitive_relstr(sk3_esk2_0)
| element(lim_points_of_net(X0,sk3_esk2_0),powerset(the_carrier(X0))) ),
inference(instantiation,[status(thm)],[c_493]) ).
cnf(c_27405,plain,
( empty_carrier(sk3_esk1_0)
| empty_carrier(sk3_esk2_0)
| ~ top_str(sk3_esk1_0)
| ~ topological_space(sk3_esk1_0)
| ~ net_str(sk3_esk2_0,sk3_esk1_0)
| ~ directed_relstr(sk3_esk2_0)
| ~ transitive_relstr(sk3_esk2_0)
| element(lim_points_of_net(sk3_esk1_0,sk3_esk2_0),powerset(the_carrier(sk3_esk1_0))) ),
inference(instantiation,[status(thm)],[c_27404]) ).
cnf(c_166,plain,
( one_sorted_str(X0)
| ~ top_str(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_a7e09c.p',c_0_147_0) ).
cnf(c_211,plain,
( ~ top_str(sk3_esk1_0)
| one_sorted_str(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_166]) ).
cnf(c_185,negated_conjecture,
~ is_a_cluster_point_of_netstr(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_a7e09c.p',c_0_13) ).
cnf(c_186,negated_conjecture,
~ empty_carrier(sk3_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_a7e09c.p',c_0_17) ).
cnf(c_187,negated_conjecture,
~ empty_carrier(sk3_esk2_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_a7e09c.p',c_0_18) ).
cnf(c_188,negated_conjecture,
in(sk3_esk3_0,lim_points_of_net(sk3_esk1_0,sk3_esk2_0)),
file('/export/starexec/sandbox2/tmp/iprover_modulo_a7e09c.p',c_0_14) ).
cnf(c_189,negated_conjecture,
element(sk3_esk3_0,the_carrier(sk3_esk1_0)),
file('/export/starexec/sandbox2/tmp/iprover_modulo_a7e09c.p',c_0_15) ).
cnf(c_190,negated_conjecture,
net_str(sk3_esk2_0,sk3_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_a7e09c.p',c_0_16) ).
cnf(c_191,negated_conjecture,
topological_space(sk3_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_a7e09c.p',c_0_19) ).
cnf(c_192,negated_conjecture,
top_str(sk3_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_a7e09c.p',c_0_20) ).
cnf(c_193,negated_conjecture,
transitive_relstr(sk3_esk2_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_a7e09c.p',c_0_21) ).
cnf(c_194,negated_conjecture,
directed_relstr(sk3_esk2_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_a7e09c.p',c_0_22) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_99847,c_99846,c_27606,c_27604,c_27405,c_211,c_185,c_186,c_187,c_188,c_189,c_190,c_191,c_192,c_193,c_194]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU386+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 08:58:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running in mono-core mode
% 0.19/0.41 % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.41 % FOF problem with conjecture
% 0.19/0.41 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_c2e655.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_a7e09c.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_c3517b | grep -v "SZS"
% 0.19/0.43
% 0.19/0.43 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.43
% 0.19/0.43 %
% 0.19/0.43 % ------ iProver source info
% 0.19/0.43
% 0.19/0.43 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.43 % git: non_committed_changes: true
% 0.19/0.43 % git: last_make_outside_of_git: true
% 0.19/0.43
% 0.19/0.43 %
% 0.19/0.43 % ------ Input Options
% 0.19/0.43
% 0.19/0.43 % --out_options all
% 0.19/0.43 % --tptp_safe_out true
% 0.19/0.43 % --problem_path ""
% 0.19/0.43 % --include_path ""
% 0.19/0.43 % --clausifier .//eprover
% 0.19/0.43 % --clausifier_options --tstp-format
% 0.19/0.43 % --stdin false
% 0.19/0.43 % --dbg_backtrace false
% 0.19/0.43 % --dbg_dump_prop_clauses false
% 0.19/0.43 % --dbg_dump_prop_clauses_file -
% 0.19/0.43 % --dbg_out_stat false
% 0.19/0.43
% 0.19/0.43 % ------ General Options
% 0.19/0.43
% 0.19/0.43 % --fof false
% 0.19/0.43 % --time_out_real 150.
% 0.19/0.43 % --time_out_prep_mult 0.2
% 0.19/0.43 % --time_out_virtual -1.
% 0.19/0.43 % --schedule none
% 0.19/0.43 % --ground_splitting input
% 0.19/0.44 % --splitting_nvd 16
% 0.19/0.44 % --non_eq_to_eq false
% 0.19/0.44 % --prep_gs_sim true
% 0.19/0.44 % --prep_unflatten false
% 0.19/0.44 % --prep_res_sim true
% 0.19/0.44 % --prep_upred true
% 0.19/0.44 % --res_sim_input true
% 0.19/0.44 % --clause_weak_htbl true
% 0.19/0.44 % --gc_record_bc_elim false
% 0.19/0.44 % --symbol_type_check false
% 0.19/0.44 % --clausify_out false
% 0.19/0.44 % --large_theory_mode false
% 0.19/0.44 % --prep_sem_filter none
% 0.19/0.44 % --prep_sem_filter_out false
% 0.19/0.44 % --preprocessed_out false
% 0.19/0.44 % --sub_typing false
% 0.19/0.44 % --brand_transform false
% 0.19/0.44 % --pure_diseq_elim true
% 0.19/0.44 % --min_unsat_core false
% 0.19/0.44 % --pred_elim true
% 0.19/0.44 % --add_important_lit false
% 0.19/0.44 % --soft_assumptions false
% 0.19/0.44 % --reset_solvers false
% 0.19/0.44 % --bc_imp_inh []
% 0.19/0.44 % --conj_cone_tolerance 1.5
% 0.19/0.44 % --prolific_symb_bound 500
% 0.19/0.44 % --lt_threshold 2000
% 0.19/0.44
% 0.19/0.44 % ------ SAT Options
% 0.19/0.44
% 0.19/0.44 % --sat_mode false
% 0.19/0.44 % --sat_fm_restart_options ""
% 0.19/0.44 % --sat_gr_def false
% 0.19/0.44 % --sat_epr_types true
% 0.19/0.44 % --sat_non_cyclic_types false
% 0.19/0.44 % --sat_finite_models false
% 0.19/0.44 % --sat_fm_lemmas false
% 0.19/0.44 % --sat_fm_prep false
% 0.19/0.44 % --sat_fm_uc_incr true
% 0.19/0.44 % --sat_out_model small
% 0.19/0.44 % --sat_out_clauses false
% 0.19/0.44
% 0.19/0.44 % ------ QBF Options
% 0.19/0.44
% 0.19/0.44 % --qbf_mode false
% 0.19/0.44 % --qbf_elim_univ true
% 0.19/0.44 % --qbf_sk_in true
% 0.19/0.44 % --qbf_pred_elim true
% 0.19/0.44 % --qbf_split 32
% 0.19/0.44
% 0.19/0.44 % ------ BMC1 Options
% 0.19/0.44
% 0.19/0.44 % --bmc1_incremental false
% 0.19/0.44 % --bmc1_axioms reachable_all
% 0.19/0.44 % --bmc1_min_bound 0
% 0.19/0.44 % --bmc1_max_bound -1
% 0.19/0.44 % --bmc1_max_bound_default -1
% 0.19/0.44 % --bmc1_symbol_reachability true
% 0.19/0.44 % --bmc1_property_lemmas false
% 0.19/0.44 % --bmc1_k_induction false
% 0.19/0.44 % --bmc1_non_equiv_states false
% 0.19/0.44 % --bmc1_deadlock false
% 0.19/0.44 % --bmc1_ucm false
% 0.19/0.44 % --bmc1_add_unsat_core none
% 0.19/0.44 % --bmc1_unsat_core_children false
% 0.19/0.44 % --bmc1_unsat_core_extrapolate_axioms false
% 0.19/0.44 % --bmc1_out_stat full
% 0.19/0.44 % --bmc1_ground_init false
% 0.19/0.44 % --bmc1_pre_inst_next_state false
% 0.19/0.44 % --bmc1_pre_inst_state false
% 0.19/0.44 % --bmc1_pre_inst_reach_state false
% 0.19/0.44 % --bmc1_out_unsat_core false
% 0.19/0.44 % --bmc1_aig_witness_out false
% 0.19/0.44 % --bmc1_verbose false
% 0.19/0.44 % --bmc1_dump_clauses_tptp false
% 0.19/0.47 % --bmc1_dump_unsat_core_tptp false
% 0.19/0.47 % --bmc1_dump_file -
% 0.19/0.47 % --bmc1_ucm_expand_uc_limit 128
% 0.19/0.47 % --bmc1_ucm_n_expand_iterations 6
% 0.19/0.47 % --bmc1_ucm_extend_mode 1
% 0.19/0.47 % --bmc1_ucm_init_mode 2
% 0.19/0.47 % --bmc1_ucm_cone_mode none
% 0.19/0.47 % --bmc1_ucm_reduced_relation_type 0
% 0.19/0.47 % --bmc1_ucm_relax_model 4
% 0.19/0.47 % --bmc1_ucm_full_tr_after_sat true
% 0.19/0.47 % --bmc1_ucm_expand_neg_assumptions false
% 0.19/0.47 % --bmc1_ucm_layered_model none
% 0.19/0.47 % --bmc1_ucm_max_lemma_size 10
% 0.19/0.47
% 0.19/0.47 % ------ AIG Options
% 0.19/0.47
% 0.19/0.47 % --aig_mode false
% 0.19/0.47
% 0.19/0.47 % ------ Instantiation Options
% 0.19/0.47
% 0.19/0.47 % --instantiation_flag true
% 0.19/0.47 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.47 % --inst_solver_per_active 750
% 0.19/0.47 % --inst_solver_calls_frac 0.5
% 0.19/0.47 % --inst_passive_queue_type priority_queues
% 0.19/0.47 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.47 % --inst_passive_queues_freq [25;2]
% 0.19/0.47 % --inst_dismatching true
% 0.19/0.47 % --inst_eager_unprocessed_to_passive true
% 0.19/0.47 % --inst_prop_sim_given true
% 0.19/0.47 % --inst_prop_sim_new false
% 0.19/0.47 % --inst_orphan_elimination true
% 0.19/0.47 % --inst_learning_loop_flag true
% 0.19/0.47 % --inst_learning_start 3000
% 0.19/0.47 % --inst_learning_factor 2
% 0.19/0.47 % --inst_start_prop_sim_after_learn 3
% 0.19/0.47 % --inst_sel_renew solver
% 0.19/0.47 % --inst_lit_activity_flag true
% 0.19/0.47 % --inst_out_proof true
% 0.19/0.47
% 0.19/0.47 % ------ Resolution Options
% 0.19/0.47
% 0.19/0.47 % --resolution_flag true
% 0.19/0.47 % --res_lit_sel kbo_max
% 0.19/0.47 % --res_to_prop_solver none
% 0.19/0.47 % --res_prop_simpl_new false
% 0.19/0.47 % --res_prop_simpl_given false
% 0.19/0.47 % --res_passive_queue_type priority_queues
% 0.19/0.47 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.19/0.47 % --res_passive_queues_freq [15;5]
% 0.19/0.47 % --res_forward_subs full
% 0.19/0.47 % --res_backward_subs full
% 0.19/0.47 % --res_forward_subs_resolution true
% 0.19/0.47 % --res_backward_subs_resolution true
% 0.19/0.47 % --res_orphan_elimination false
% 0.19/0.47 % --res_time_limit 1000.
% 0.19/0.47 % --res_out_proof true
% 0.19/0.47 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_c2e655.s
% 0.19/0.47 % --modulo true
% 0.19/0.47
% 0.19/0.47 % ------ Combination Options
% 0.19/0.47
% 0.19/0.47 % --comb_res_mult 1000
% 0.19/0.47 % --comb_inst_mult 300
% 0.19/0.47 % ------
% 0.19/0.47
% 0.19/0.47 % ------ Parsing...% successful
% 0.19/0.47
% 0.19/0.47 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.19/0.47
% 0.19/0.47 % ------ Proving...
% 0.19/0.47 % ------ Problem Properties
% 0.19/0.47
% 0.19/0.47 %
% 0.19/0.47 % EPR false
% 0.19/0.47 % Horn false
% 0.19/0.47 % Has equality true
% 0.19/0.47
% 0.19/0.47 % % ------ Input Options Time Limit: Unbounded
% 0.19/0.47
% 0.19/0.47
% 0.19/0.47 % % ------ Current options:
% 0.19/0.47
% 0.19/0.47 % ------ Input Options
% 0.19/0.47
% 0.19/0.47 % --out_options all
% 0.19/0.47 % --tptp_safe_out true
% 0.19/0.47 % --problem_path ""
% 0.19/0.47 % --include_path ""
% 0.19/0.47 % --clausifier .//eprover
% 0.19/0.47 % --clausifier_options --tstp-format
% 0.19/0.47 % --stdin false
% 0.19/0.47 % --dbg_backtrace false
% 0.19/0.47 % --dbg_dump_prop_clauses false
% 0.19/0.47 % --dbg_dump_prop_clauses_file -
% 0.19/0.47 % --dbg_out_stat false
% 0.19/0.47
% 0.19/0.47 % ------ General Options
% 0.19/0.47
% 0.19/0.47 % --fof false
% 0.19/0.47 % --time_out_real 150.
% 0.19/0.47 % --time_out_prep_mult 0.2
% 0.19/0.47 % --time_out_virtual -1.
% 0.19/0.47 % --schedule none
% 0.19/0.47 % --ground_splitting input
% 0.19/0.47 % --splitting_nvd 16
% 0.19/0.47 % --non_eq_to_eq false
% 0.19/0.47 % --prep_gs_sim true
% 0.19/0.47 % --prep_unflatten false
% 0.19/0.47 % --prep_res_sim true
% 0.19/0.47 % --prep_upred true
% 0.19/0.47 % --res_sim_input true
% 0.19/0.47 % --clause_weak_htbl true
% 0.19/0.47 % --gc_record_bc_elim false
% 0.19/0.47 % --symbol_type_check false
% 0.19/0.47 % --clausify_out false
% 0.19/0.47 % --large_theory_mode false
% 0.19/0.47 % --prep_sem_filter none
% 0.19/0.47 % --prep_sem_filter_out false
% 0.19/0.47 % --preprocessed_out false
% 0.19/0.47 % --sub_typing false
% 0.19/0.47 % --brand_transform false
% 0.19/0.47 % --pure_diseq_elim true
% 0.19/0.47 % --min_unsat_core false
% 0.19/0.47 % --pred_elim true
% 0.19/0.47 % --add_important_lit false
% 0.19/0.47 % --soft_assumptions false
% 0.19/0.47 % --reset_solvers false
% 0.19/0.47 % --bc_imp_inh []
% 0.19/0.47 % --conj_cone_tolerance 1.5
% 0.19/0.47 % --prolific_symb_bound 500
% 0.19/0.47 % --lt_threshold 2000
% 0.19/0.47
% 0.19/0.47 % ------ SAT Options
% 0.19/0.47
% 0.19/0.47 % --sat_mode false
% 0.19/0.47 % --sat_fm_restart_options ""
% 0.19/0.47 % --sat_gr_def false
% 0.19/0.47 % --sat_epr_types true
% 0.19/0.47 % --sat_non_cyclic_types false
% 0.19/0.47 % --sat_finite_models false
% 0.19/0.47 % --sat_fm_lemmas false
% 0.19/0.47 % --sat_fm_prep false
% 0.19/0.47 % --sat_fm_uc_incr true
% 0.19/0.47 % --sat_out_model small
% 0.19/0.47 % --sat_out_clauses false
% 0.19/0.47
% 0.19/0.47 % ------ QBF Options
% 0.19/0.47
% 0.19/0.47 % --qbf_mode false
% 0.19/0.47 % --qbf_elim_univ true
% 0.19/0.47 % --qbf_sk_in true
% 0.19/0.47 % --qbf_pred_elim true
% 0.19/0.47 % --qbf_split 32
% 0.19/0.47
% 0.19/0.47 % ------ BMC1 Options
% 0.19/0.47
% 0.19/0.47 % --bmc1_incremental false
% 0.19/0.47 % --bmc1_axioms reachable_all
% 0.19/0.47 % --bmc1_min_bound 0
% 0.19/0.47 % --bmc1_max_bound -1
% 0.19/0.47 % --bmc1_max_bound_default -1
% 0.19/0.47 % --bmc1_symbol_reachability true
% 0.19/0.47 % --bmc1_property_lemmas false
% 0.19/0.47 % --bmc1_k_induction false
% 0.19/0.47 % --bmc1_non_equiv_states false
% 0.19/0.47 % --bmc1_deadlock false
% 0.19/0.47 % --bmc1_ucm false
% 0.19/0.47 % --bmc1_add_unsat_core none
% 0.19/0.47 % --bmc1_unsat_core_children false
% 0.19/0.47 % --bmc1_unsat_core_extrapolate_axioms false
% 0.19/0.47 % --bmc1_out_stat full
% 0.19/0.47 % --bmc1_ground_init false
% 0.19/0.47 % --bmc1_pre_inst_next_state false
% 0.19/0.47 % --bmc1_pre_inst_state false
% 0.19/0.47 % --bmc1_pre_inst_reach_state false
% 0.19/0.47 % --bmc1_out_unsat_core false
% 0.19/0.47 % --bmc1_aig_witness_out false
% 0.19/0.47 % --bmc1_verbose false
% 0.19/0.47 % --bmc1_dump_clauses_tptp false
% 0.19/0.47 % --bmc1_dump_unsat_core_tptp false
% 0.19/0.47 % --bmc1_dump_file -
% 0.19/0.47 % --bmc1_ucm_expand_uc_limit 128
% 0.19/0.47 % --bmc1_ucm_n_expand_iterations 6
% 0.19/0.47 % --bmc1_ucm_extend_mode 1
% 0.19/0.47 % --bmc1_ucm_init_mode 2
% 0.19/0.47 % --bmc1_ucm_cone_mode none
% 0.19/0.47 % --bmc1_ucm_reduced_relation_type 0
% 0.19/0.47 % --bmc1_ucm_relax_model 4
% 0.19/0.47 % --bmc1_ucm_full_tr_after_sat true
% 0.19/0.47 % --bmc1_ucm_expand_neg_assumptions false
% 0.19/0.47 % --bmc1_ucm_layered_model none
% 0.19/0.47 % --bmc1_ucm_max_lemma_size 10
% 0.19/0.47
% 0.19/0.47 % ------ AIG Options
% 0.19/0.47
% 0.19/0.47 % --aig_mode false
% 0.19/0.47
% 0.19/0.47 % ------ Instantiation Options
% 0.19/0.47
% 0.19/0.47 % --instantiation_flag true
% 0.19/0.47 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.47 % --inst_solver_per_active 750
% 0.19/0.47 % --inst_solver_calls_frac 0.5
% 0.19/0.47 % --inst_passive_queue_type priority_queues
% 0.19/0.47 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.47 % --inst_passive_queues_freq [25;2]
% 0.19/0.47 % --inst_dismatching true
% 0.19/0.47 % --inst_eager_unprocessed_to_passive true
% 0.19/0.47 % --inst_prop_sim_given true
% 7.43/7.63 % --inst_prop_sim_new false
% 7.43/7.63 % --inst_orphan_elimination true
% 7.43/7.63 % --inst_learning_loop_flag true
% 7.43/7.63 % --inst_learning_start 3000
% 7.43/7.63 % --inst_learning_factor 2
% 7.43/7.63 % --inst_start_prop_sim_after_learn 3
% 7.43/7.63 % --inst_sel_renew solver
% 7.43/7.63 % --inst_lit_activity_flag true
% 7.43/7.63 % --inst_out_proof true
% 7.43/7.63
% 7.43/7.63 % ------ Resolution Options
% 7.43/7.63
% 7.43/7.63 % --resolution_flag true
% 7.43/7.63 % --res_lit_sel kbo_max
% 7.43/7.63 % --res_to_prop_solver none
% 7.43/7.63 % --res_prop_simpl_new false
% 7.43/7.63 % --res_prop_simpl_given false
% 7.43/7.63 % --res_passive_queue_type priority_queues
% 7.43/7.63 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 7.43/7.63 % --res_passive_queues_freq [15;5]
% 7.43/7.63 % --res_forward_subs full
% 7.43/7.63 % --res_backward_subs full
% 7.43/7.63 % --res_forward_subs_resolution true
% 7.43/7.63 % --res_backward_subs_resolution true
% 7.43/7.63 % --res_orphan_elimination false
% 7.43/7.63 % --res_time_limit 1000.
% 7.43/7.63 % --res_out_proof true
% 7.43/7.63 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_c2e655.s
% 7.43/7.63 % --modulo true
% 7.43/7.63
% 7.43/7.63 % ------ Combination Options
% 7.43/7.63
% 7.43/7.63 % --comb_res_mult 1000
% 7.43/7.63 % --comb_inst_mult 300
% 7.43/7.63 % ------
% 7.43/7.63
% 7.43/7.63
% 7.43/7.63
% 7.43/7.63 % ------ Proving...
% 7.43/7.63 %
% 7.43/7.63
% 7.43/7.63
% 7.43/7.63 % ------ Statistics
% 7.43/7.63
% 7.43/7.63 % ------ General
% 7.43/7.63
% 7.43/7.63 % num_of_input_clauses: 195
% 7.43/7.63 % num_of_input_neg_conjectures: 10
% 7.43/7.63 % num_of_splits: 0
% 7.43/7.63 % num_of_split_atoms: 0
% 7.43/7.63 % num_of_sem_filtered_clauses: 0
% 7.43/7.63 % num_of_subtypes: 0
% 7.43/7.63 % monotx_restored_types: 0
% 7.43/7.63 % sat_num_of_epr_types: 0
% 7.43/7.63 % sat_num_of_non_cyclic_types: 0
% 7.43/7.63 % sat_guarded_non_collapsed_types: 0
% 7.43/7.63 % is_epr: 0
% 7.43/7.63 % is_horn: 0
% 7.43/7.63 % has_eq: 1
% 7.43/7.63 % num_pure_diseq_elim: 0
% 7.43/7.63 % simp_replaced_by: 0
% 7.43/7.63 % res_preprocessed: 20
% 7.43/7.63 % prep_upred: 0
% 7.43/7.63 % prep_unflattend: 0
% 7.43/7.63 % pred_elim_cands: 0
% 7.43/7.63 % pred_elim: 0
% 7.43/7.63 % pred_elim_cl: 0
% 7.43/7.63 % pred_elim_cycles: 0
% 7.43/7.63 % forced_gc_time: 0
% 7.43/7.63 % gc_basic_clause_elim: 0
% 7.43/7.63 % parsing_time: 0.015
% 7.43/7.63 % sem_filter_time: 0.
% 7.43/7.63 % pred_elim_time: 0.
% 7.43/7.63 % out_proof_time: 0.001
% 7.43/7.63 % monotx_time: 0.
% 7.43/7.63 % subtype_inf_time: 0.
% 7.43/7.63 % unif_index_cands_time: 0.006
% 7.43/7.63 % unif_index_add_time: 0.008
% 7.43/7.63 % total_time: 7.213
% 7.43/7.63 % num_of_symbols: 70
% 7.43/7.63 % num_of_terms: 26632
% 7.43/7.63
% 7.43/7.63 % ------ Propositional Solver
% 7.43/7.63
% 7.43/7.63 % prop_solver_calls: 10
% 7.43/7.63 % prop_fast_solver_calls: 30
% 7.43/7.63 % prop_num_of_clauses: 1289
% 7.43/7.63 % prop_preprocess_simplified: 2391
% 7.43/7.63 % prop_fo_subsumed: 0
% 7.43/7.63 % prop_solver_time: 0.
% 7.43/7.63 % prop_fast_solver_time: 0.
% 7.43/7.63 % prop_unsat_core_time: 0.
% 7.43/7.63
% 7.43/7.63 % ------ QBF
% 7.43/7.63
% 7.43/7.63 % qbf_q_res: 0
% 7.43/7.63 % qbf_num_tautologies: 0
% 7.43/7.63 % qbf_prep_cycles: 0
% 7.43/7.63
% 7.43/7.63 % ------ BMC1
% 7.43/7.63
% 7.43/7.63 % bmc1_current_bound: -1
% 7.43/7.63 % bmc1_last_solved_bound: -1
% 7.43/7.63 % bmc1_unsat_core_size: -1
% 7.43/7.63 % bmc1_unsat_core_parents_size: -1
% 7.43/7.63 % bmc1_merge_next_fun: 0
% 7.43/7.63 % bmc1_unsat_core_clauses_time: 0.
% 7.43/7.63
% 7.43/7.63 % ------ Instantiation
% 7.43/7.63
% 7.43/7.63 % inst_num_of_clauses: 967
% 7.43/7.63 % inst_num_in_passive: 270
% 7.43/7.63 % inst_num_in_active: 662
% 7.43/7.63 % inst_num_in_unprocessed: 16
% 7.43/7.63 % inst_num_of_loops: 744
% 7.43/7.63 % inst_num_of_learning_restarts: 0
% 7.43/7.63 % inst_num_moves_active_passive: 77
% 7.43/7.63 % inst_lit_activity: 102
% 7.43/7.63 % inst_lit_activity_moves: 0
% 7.43/7.63 % inst_num_tautologies: 1
% 7.43/7.63 % inst_num_prop_implied: 0
% 7.43/7.63 % inst_num_existing_simplified: 0
% 7.43/7.63 % inst_num_eq_res_simplified: 16
% 7.43/7.63 % inst_num_child_elim: 0
% 7.43/7.63 % inst_num_of_dismatching_blockings: 316
% 7.43/7.63 % inst_num_of_non_proper_insts: 880
% 7.43/7.63 % inst_num_of_duplicates: 492
% 7.43/7.63 % inst_inst_num_from_inst_to_res: 0
% 7.43/7.63 % inst_dismatching_checking_time: 0.
% 7.43/7.63
% 7.43/7.63 % ------ Resolution
% 7.43/7.63
% 7.43/7.63 % res_num_of_clauses: 8635
% 7.43/7.63 % res_num_in_passive: 6612
% 7.43/7.63 % res_num_in_active: 1873
% 7.43/7.63 % res_num_of_loops: 3000
% 7.43/7.63 % res_forward_subset_subsumed: 2376
% 7.43/7.63 % res_backward_subset_subsumed: 2
% 7.43/7.63 % res_forward_subsumed: 563
% 7.43/7.63 % res_backward_subsumed: 541
% 7.43/7.63 % res_forward_subsumption_resolution: 1685
% 7.43/7.63 % res_backward_subsumption_resolution: 26
% 7.43/7.63 % res_clause_to_clause_subsumption: 153776
% 7.43/7.63 % res_orphan_elimination: 0
% 7.43/7.63 % res_tautology_del: 678
% 7.43/7.63 % res_num_eq_res_simplified: 0
% 7.43/7.63 % res_num_sel_changes: 0
% 7.43/7.63 % res_moves_from_active_to_pass: 0
% 7.43/7.63
% 7.43/7.63 % Status Unsatisfiable
% 7.43/7.63 % SZS status Theorem
% 7.43/7.63 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------