TSTP Solution File: SEU372+1 by iProverMo---2.5-0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SEU372+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n025.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 10:27:48 EDT 2022
% Result : Theorem 28.18s 28.36s
% Output : CNFRefutation 28.18s
% 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(t63_xboole_1,axiom,
! [A,B,C] :
( ( subset(A,B)
& disjoint(B,C) )
=> disjoint(A,C) ),
input ).
fof(t63_xboole_1_0,plain,
! [A,B,C] :
( disjoint(A,C)
| ~ ( subset(A,B)
& disjoint(B,C) ) ),
inference(orientation,[status(thm)],[t63_xboole_1]) ).
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(t44_tops_1,axiom,
! [A] :
( top_str(A)
=> ! [B] :
( element(B,powerset(the_carrier(A)))
=> subset(interior(A,B),B) ) ),
input ).
fof(t44_tops_1_0,plain,
! [A] :
( ~ top_str(A)
| ! [B] :
( element(B,powerset(the_carrier(A)))
=> subset(interior(A,B),B) ) ),
inference(orientation,[status(thm)],[t44_tops_1]) ).
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(symmetry_r1_xboole_0,axiom,
! [A,B] :
( disjoint(A,B)
=> disjoint(B,A) ),
input ).
fof(symmetry_r1_xboole_0_0,plain,
! [A,B] :
( ~ disjoint(A,B)
| disjoint(B,A) ),
inference(orientation,[status(thm)],[symmetry_r1_xboole_0]) ).
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(rc1_subset_1,axiom,
! [A] :
( ~ empty(A)
=> ? [B] :
( element(B,powerset(A))
& ~ empty(B) ) ),
input ).
fof(rc1_subset_1_0,plain,
! [A] :
( empty(A)
| ? [B] :
( element(B,powerset(A))
& ~ empty(B) ) ),
inference(orientation,[status(thm)],[rc1_subset_1]) ).
fof(fc4_relat_1,axiom,
( empty(empty_set)
& relation(empty_set) ),
input ).
fof(fc4_relat_1_0,plain,
( empty(empty_set)
| $false ),
inference(orientation,[status(thm)],[fc4_relat_1]) ).
fof(fc4_relat_1_1,plain,
( relation(empty_set)
| $false ),
inference(orientation,[status(thm)],[fc4_relat_1]) ).
fof(fc1_subset_1,axiom,
! [A] : ~ empty(powerset(A)),
input ).
fof(fc1_subset_1_0,plain,
! [A] :
( ~ empty(powerset(A))
| $false ),
inference(orientation,[status(thm)],[fc1_subset_1]) ).
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(fc12_relat_1,axiom,
( empty(empty_set)
& relation(empty_set)
& relation_empty_yielding(empty_set) ),
input ).
fof(fc12_relat_1_0,plain,
( empty(empty_set)
| $false ),
inference(orientation,[status(thm)],[fc12_relat_1]) ).
fof(fc12_relat_1_1,plain,
( relation(empty_set)
| $false ),
inference(orientation,[status(thm)],[fc12_relat_1]) ).
fof(fc12_relat_1_2,plain,
( relation_empty_yielding(empty_set)
| $false ),
inference(orientation,[status(thm)],[fc12_relat_1]) ).
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_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_k6_pre_topc,axiom,
! [A,B] :
( ( top_str(A)
& element(B,powerset(the_carrier(A))) )
=> element(topstr_closure(A,B),powerset(the_carrier(A))) ),
input ).
fof(dt_k6_pre_topc_0,plain,
! [A,B] :
( element(topstr_closure(A,B),powerset(the_carrier(A)))
| ~ ( top_str(A)
& element(B,powerset(the_carrier(A))) ) ),
inference(orientation,[status(thm)],[dt_k6_pre_topc]) ).
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_k1_tops_1,axiom,
! [A,B] :
( ( top_str(A)
& element(B,powerset(the_carrier(A))) )
=> element(interior(A,B),powerset(the_carrier(A))) ),
input ).
fof(dt_k1_tops_1_0,plain,
! [A,B] :
( element(interior(A,B),powerset(the_carrier(A)))
| ~ ( top_str(A)
& element(B,powerset(the_carrier(A))) ) ),
inference(orientation,[status(thm)],[dt_k1_tops_1]) ).
fof(d13_pre_topc,axiom,
! [A] :
( top_str(A)
=> ! [B] :
( element(B,powerset(the_carrier(A)))
=> ! [C] :
( element(C,powerset(the_carrier(A)))
=> ( C = topstr_closure(A,B)
<=> ! [D] :
( in(D,the_carrier(A))
=> ( in(D,C)
<=> ! [E] :
( element(E,powerset(the_carrier(A)))
=> ~ ( open_subset(E,A)
& in(D,E)
& disjoint(B,E) ) ) ) ) ) ) ) ),
input ).
fof(d13_pre_topc_0,plain,
! [A] :
( ~ top_str(A)
| ! [B] :
( element(B,powerset(the_carrier(A)))
=> ! [C] :
( element(C,powerset(the_carrier(A)))
=> ( C = topstr_closure(A,B)
<=> ! [D] :
( in(D,the_carrier(A))
=> ( in(D,C)
<=> ! [E] :
( element(E,powerset(the_carrier(A)))
=> ~ ( open_subset(E,A)
& in(D,E)
& disjoint(B,E) ) ) ) ) ) ) ) ),
inference(orientation,[status(thm)],[d13_pre_topc]) ).
fof(cc1_relat_1,axiom,
! [A] :
( empty(A)
=> relation(A) ),
input ).
fof(cc1_relat_1_0,plain,
! [A] :
( ~ empty(A)
| relation(A) ),
inference(orientation,[status(thm)],[cc1_relat_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(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)
| function(A) ),
inference(fold_definition,[status(thm)],[cc1_funct_1_0,def_lhs_atom2]) ).
fof(to_be_clausified_2,plain,
! [A] :
( lhs_atom2(A)
| relation(A) ),
inference(fold_definition,[status(thm)],[cc1_relat_1_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
! [A] :
( lhs_atom3(A)
<=> ~ top_str(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_3,plain,
! [A] :
( lhs_atom3(A)
| ! [B] :
( element(B,powerset(the_carrier(A)))
=> ! [C] :
( element(C,powerset(the_carrier(A)))
=> ( C = topstr_closure(A,B)
<=> ! [D] :
( in(D,the_carrier(A))
=> ( in(D,C)
<=> ! [E] :
( element(E,powerset(the_carrier(A)))
=> ~ ( open_subset(E,A)
& in(D,E)
& disjoint(B,E) ) ) ) ) ) ) ) ),
inference(fold_definition,[status(thm)],[d13_pre_topc_0,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
! [B,A] :
( lhs_atom4(B,A)
<=> element(interior(A,B),powerset(the_carrier(A))) ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
! [A,B] :
( lhs_atom4(B,A)
| ~ ( top_str(A)
& element(B,powerset(the_carrier(A))) ) ),
inference(fold_definition,[status(thm)],[dt_k1_tops_1_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
( lhs_atom5
<=> $true ),
inference(definition,[],]) ).
fof(to_be_clausified_5,plain,
( lhs_atom5
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_xboole_0_0,def_lhs_atom5]) ).
fof(to_be_clausified_6,plain,
( lhs_atom5
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_zfmisc_1_0,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
! [B,A] :
( lhs_atom6(B,A)
<=> element(topstr_closure(A,B),powerset(the_carrier(A))) ),
inference(definition,[],]) ).
fof(to_be_clausified_7,plain,
! [A,B] :
( lhs_atom6(B,A)
| ~ ( top_str(A)
& element(B,powerset(the_carrier(A))) ) ),
inference(fold_definition,[status(thm)],[dt_k6_pre_topc_0,def_lhs_atom6]) ).
fof(to_be_clausified_8,plain,
! [A] :
( lhs_atom3(A)
| one_sorted_str(A) ),
inference(fold_definition,[status(thm)],[dt_l1_pre_topc_0,def_lhs_atom3]) ).
fof(to_be_clausified_9,plain,
( lhs_atom5
| $false ),
inference(fold_definition,[status(thm)],[dt_l1_struct_0_0,def_lhs_atom5]) ).
fof(to_be_clausified_10,plain,
( lhs_atom5
| $false ),
inference(fold_definition,[status(thm)],[dt_m1_subset_1_0,def_lhs_atom5]) ).
fof(to_be_clausified_11,plain,
( lhs_atom5
| $false ),
inference(fold_definition,[status(thm)],[dt_u1_struct_0_0,def_lhs_atom5]) ).
fof(def_lhs_atom7,axiom,
( lhs_atom7
<=> relation_empty_yielding(empty_set) ),
inference(definition,[],]) ).
fof(to_be_clausified_12,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[fc12_relat_1_2,def_lhs_atom7]) ).
fof(def_lhs_atom8,axiom,
( lhs_atom8
<=> relation(empty_set) ),
inference(definition,[],]) ).
fof(to_be_clausified_13,plain,
( lhs_atom8
| $false ),
inference(fold_definition,[status(thm)],[fc12_relat_1_1,def_lhs_atom8]) ).
fof(def_lhs_atom9,axiom,
( lhs_atom9
<=> empty(empty_set) ),
inference(definition,[],]) ).
fof(to_be_clausified_14,plain,
( lhs_atom9
| $false ),
inference(fold_definition,[status(thm)],[fc12_relat_1_0,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
! [A] :
( lhs_atom10(A)
<=> ~ empty(the_carrier(A)) ),
inference(definition,[],]) ).
fof(to_be_clausified_15,plain,
! [A] :
( lhs_atom10(A)
| ~ ( ~ empty_carrier(A)
& one_sorted_str(A) ) ),
inference(fold_definition,[status(thm)],[fc1_struct_0_0,def_lhs_atom10]) ).
fof(def_lhs_atom11,axiom,
! [A] :
( lhs_atom11(A)
<=> ~ empty(powerset(A)) ),
inference(definition,[],]) ).
fof(to_be_clausified_16,plain,
! [A] :
( lhs_atom11(A)
| $false ),
inference(fold_definition,[status(thm)],[fc1_subset_1_0,def_lhs_atom11]) ).
fof(to_be_clausified_17,plain,
( lhs_atom8
| $false ),
inference(fold_definition,[status(thm)],[fc4_relat_1_1,def_lhs_atom8]) ).
fof(to_be_clausified_18,plain,
( lhs_atom9
| $false ),
inference(fold_definition,[status(thm)],[fc4_relat_1_0,def_lhs_atom9]) ).
fof(def_lhs_atom12,axiom,
! [A] :
( lhs_atom12(A)
<=> empty(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_19,plain,
! [A] :
( lhs_atom12(A)
| ? [B] :
( element(B,powerset(A))
& ~ empty(B) ) ),
inference(fold_definition,[status(thm)],[rc1_subset_1_0,def_lhs_atom12]) ).
fof(def_lhs_atom13,axiom,
! [A] :
( lhs_atom13(A)
<=> subset(A,A) ),
inference(definition,[],]) ).
fof(to_be_clausified_20,plain,
! [A] :
( lhs_atom13(A)
| $false ),
inference(fold_definition,[status(thm)],[reflexivity_r1_tarski_0,def_lhs_atom13]) ).
fof(def_lhs_atom14,axiom,
! [B,A] :
( lhs_atom14(B,A)
<=> ~ disjoint(A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_21,plain,
! [A,B] :
( lhs_atom14(B,A)
| disjoint(B,A) ),
inference(fold_definition,[status(thm)],[symmetry_r1_xboole_0_0,def_lhs_atom14]) ).
fof(to_be_clausified_22,plain,
! [A,B] :
( lhs_atom1(B,A)
| element(A,B) ),
inference(fold_definition,[status(thm)],[t1_subset_0,def_lhs_atom1]) ).
fof(def_lhs_atom15,axiom,
! [B,A] :
( lhs_atom15(B,A)
<=> ~ element(A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_23,plain,
! [A,B] :
( lhs_atom15(B,A)
| empty(B)
| in(A,B) ),
inference(fold_definition,[status(thm)],[t2_subset_0,def_lhs_atom15]) ).
fof(def_lhs_atom16,axiom,
! [B,A] :
( lhs_atom16(B,A)
<=> ~ element(A,powerset(B)) ),
inference(definition,[],]) ).
fof(to_be_clausified_24,plain,
! [A,B] :
( lhs_atom16(B,A)
| subset(A,B) ),
inference(fold_definition,[status(thm)],[t3_subset_1,def_lhs_atom16]) ).
fof(def_lhs_atom17,axiom,
! [B,A] :
( lhs_atom17(B,A)
<=> element(A,powerset(B)) ),
inference(definition,[],]) ).
fof(to_be_clausified_25,plain,
! [A,B] :
( lhs_atom17(B,A)
| ~ subset(A,B) ),
inference(fold_definition,[status(thm)],[t3_subset_0,def_lhs_atom17]) ).
fof(to_be_clausified_26,plain,
! [A] :
( lhs_atom3(A)
| ! [B] :
( element(B,powerset(the_carrier(A)))
=> subset(interior(A,B),B) ) ),
inference(fold_definition,[status(thm)],[t44_tops_1_0,def_lhs_atom3]) ).
fof(def_lhs_atom18,axiom,
! [C,A] :
( lhs_atom18(C,A)
<=> element(A,C) ),
inference(definition,[],]) ).
fof(to_be_clausified_27,plain,
! [A,B,C] :
( lhs_atom18(C,A)
| ~ ( in(A,B)
& element(B,powerset(C)) ) ),
inference(fold_definition,[status(thm)],[t4_subset_0,def_lhs_atom18]) ).
fof(def_lhs_atom19,axiom,
! [C,A] :
( lhs_atom19(C,A)
<=> disjoint(A,C) ),
inference(definition,[],]) ).
fof(to_be_clausified_28,plain,
! [A,B,C] :
( lhs_atom19(C,A)
| ~ ( subset(A,B)
& disjoint(B,C) ) ),
inference(fold_definition,[status(thm)],[t63_xboole_1_0,def_lhs_atom19]) ).
fof(to_be_clausified_29,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,
! [X2] :
( lhs_atom3(X2)
| ! [X1] :
( element(X1,powerset(the_carrier(X2)))
=> ! [X3] :
( element(X3,powerset(the_carrier(X2)))
=> ( X3 = topstr_closure(X2,X1)
<=> ! [X4] :
( in(X4,the_carrier(X2))
=> ( in(X4,X3)
<=> ! [X5] :
( element(X5,powerset(the_carrier(X2)))
=> ~ ( open_subset(X5,X2)
& in(X4,X5)
& disjoint(X1,X5) ) ) ) ) ) ) ) ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_1,axiom,
! [X2] :
( lhs_atom3(X2)
| ! [X1] :
( element(X1,powerset(the_carrier(X2)))
=> subset(interior(X2,X1),X1) ) ),
file('<stdin>',to_be_clausified_26) ).
fof(c_0_2,axiom,
! [X1,X2] :
( lhs_atom6(X1,X2)
| ~ ( top_str(X2)
& element(X1,powerset(the_carrier(X2))) ) ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_3,axiom,
! [X1,X2] :
( lhs_atom4(X1,X2)
| ~ ( top_str(X2)
& element(X1,powerset(the_carrier(X2))) ) ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_4,axiom,
! [X3,X1,X2] :
( lhs_atom18(X3,X2)
| ~ ( in(X2,X1)
& element(X1,powerset(X3)) ) ),
file('<stdin>',to_be_clausified_27) ).
fof(c_0_5,axiom,
! [X3,X1,X2] :
( lhs_atom19(X3,X2)
| ~ ( subset(X2,X1)
& disjoint(X1,X3) ) ),
file('<stdin>',to_be_clausified_28) ).
fof(c_0_6,axiom,
! [X1,X2] :
( lhs_atom17(X1,X2)
| ~ subset(X2,X1) ),
file('<stdin>',to_be_clausified_25) ).
fof(c_0_7,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ~ in(X1,X2) ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_8,axiom,
! [X1,X2] :
( lhs_atom15(X1,X2)
| empty(X1)
| in(X2,X1) ),
file('<stdin>',to_be_clausified_23) ).
fof(c_0_9,axiom,
! [X2] :
( lhs_atom12(X2)
| ? [X1] :
( element(X1,powerset(X2))
& ~ empty(X1) ) ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_10,axiom,
! [X1,X2] :
( lhs_atom16(X1,X2)
| subset(X2,X1) ),
file('<stdin>',to_be_clausified_24) ).
fof(c_0_11,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| element(X2,X1) ),
file('<stdin>',to_be_clausified_22) ).
fof(c_0_12,axiom,
! [X1,X2] :
( lhs_atom14(X1,X2)
| disjoint(X1,X2) ),
file('<stdin>',to_be_clausified_21) ).
fof(c_0_13,axiom,
! [X2] :
( lhs_atom10(X2)
| ~ ( ~ empty_carrier(X2)
& one_sorted_str(X2) ) ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_14,axiom,
! [X2] :
( lhs_atom3(X2)
| one_sorted_str(X2) ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_15,axiom,
! [X2] :
( lhs_atom2(X2)
| relation(X2) ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_16,axiom,
! [X2] :
( lhs_atom2(X2)
| function(X2) ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_17,axiom,
! [X2] :
( lhs_atom2(X2)
| X2 = empty_set ),
file('<stdin>',to_be_clausified_29) ).
fof(c_0_18,axiom,
! [X2] :
( lhs_atom13(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_20) ).
fof(c_0_19,axiom,
! [X2] :
( lhs_atom11(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_20,axiom,
( lhs_atom9
| ~ $true ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_21,axiom,
( lhs_atom8
| ~ $true ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_22,axiom,
( lhs_atom9
| ~ $true ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_23,axiom,
( lhs_atom8
| ~ $true ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_24,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_25,axiom,
( lhs_atom5
| ~ $true ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_26,axiom,
( lhs_atom5
| ~ $true ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_27,axiom,
( lhs_atom5
| ~ $true ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_28,axiom,
( lhs_atom5
| ~ $true ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_29,axiom,
( lhs_atom5
| ~ $true ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_30,axiom,
! [X2] :
( lhs_atom3(X2)
| ! [X1] :
( element(X1,powerset(the_carrier(X2)))
=> ! [X3] :
( element(X3,powerset(the_carrier(X2)))
=> ( X3 = topstr_closure(X2,X1)
<=> ! [X4] :
( in(X4,the_carrier(X2))
=> ( in(X4,X3)
<=> ! [X5] :
( element(X5,powerset(the_carrier(X2)))
=> ~ ( open_subset(X5,X2)
& in(X4,X5)
& disjoint(X1,X5) ) ) ) ) ) ) ) ),
c_0_0 ).
fof(c_0_31,axiom,
! [X2] :
( lhs_atom3(X2)
| ! [X1] :
( element(X1,powerset(the_carrier(X2)))
=> subset(interior(X2,X1),X1) ) ),
c_0_1 ).
fof(c_0_32,axiom,
! [X1,X2] :
( lhs_atom6(X1,X2)
| ~ ( top_str(X2)
& element(X1,powerset(the_carrier(X2))) ) ),
c_0_2 ).
fof(c_0_33,axiom,
! [X1,X2] :
( lhs_atom4(X1,X2)
| ~ ( top_str(X2)
& element(X1,powerset(the_carrier(X2))) ) ),
c_0_3 ).
fof(c_0_34,axiom,
! [X3,X1,X2] :
( lhs_atom18(X3,X2)
| ~ ( in(X2,X1)
& element(X1,powerset(X3)) ) ),
c_0_4 ).
fof(c_0_35,axiom,
! [X3,X1,X2] :
( lhs_atom19(X3,X2)
| ~ ( subset(X2,X1)
& disjoint(X1,X3) ) ),
c_0_5 ).
fof(c_0_36,plain,
! [X1,X2] :
( lhs_atom17(X1,X2)
| ~ subset(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_37,plain,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ~ in(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_38,axiom,
! [X1,X2] :
( lhs_atom15(X1,X2)
| empty(X1)
| in(X2,X1) ),
c_0_8 ).
fof(c_0_39,plain,
! [X2] :
( lhs_atom12(X2)
| ? [X1] :
( element(X1,powerset(X2))
& ~ empty(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_40,axiom,
! [X1,X2] :
( lhs_atom16(X1,X2)
| subset(X2,X1) ),
c_0_10 ).
fof(c_0_41,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| element(X2,X1) ),
c_0_11 ).
fof(c_0_42,axiom,
! [X1,X2] :
( lhs_atom14(X1,X2)
| disjoint(X1,X2) ),
c_0_12 ).
fof(c_0_43,plain,
! [X2] :
( lhs_atom10(X2)
| ~ ( ~ empty_carrier(X2)
& one_sorted_str(X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_44,axiom,
! [X2] :
( lhs_atom3(X2)
| one_sorted_str(X2) ),
c_0_14 ).
fof(c_0_45,axiom,
! [X2] :
( lhs_atom2(X2)
| relation(X2) ),
c_0_15 ).
fof(c_0_46,axiom,
! [X2] :
( lhs_atom2(X2)
| function(X2) ),
c_0_16 ).
fof(c_0_47,axiom,
! [X2] :
( lhs_atom2(X2)
| X2 = empty_set ),
c_0_17 ).
fof(c_0_48,plain,
! [X2] : lhs_atom13(X2),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_49,plain,
! [X2] : lhs_atom11(X2),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_50,plain,
lhs_atom9,
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_51,plain,
lhs_atom8,
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_52,plain,
lhs_atom9,
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_53,plain,
lhs_atom8,
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_54,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_55,plain,
lhs_atom5,
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_56,plain,
lhs_atom5,
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_57,plain,
lhs_atom5,
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_58,plain,
lhs_atom5,
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_59,plain,
lhs_atom5,
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_60,plain,
! [X6,X7,X8,X9,X10,X14] :
( ( ~ in(X9,X8)
| ~ element(X10,powerset(the_carrier(X6)))
| ~ open_subset(X10,X6)
| ~ in(X9,X10)
| ~ disjoint(X7,X10)
| ~ in(X9,the_carrier(X6))
| X8 != topstr_closure(X6,X7)
| ~ element(X8,powerset(the_carrier(X6)))
| ~ element(X7,powerset(the_carrier(X6)))
| lhs_atom3(X6) )
& ( element(esk1_4(X6,X7,X8,X9),powerset(the_carrier(X6)))
| in(X9,X8)
| ~ in(X9,the_carrier(X6))
| X8 != topstr_closure(X6,X7)
| ~ element(X8,powerset(the_carrier(X6)))
| ~ element(X7,powerset(the_carrier(X6)))
| lhs_atom3(X6) )
& ( open_subset(esk1_4(X6,X7,X8,X9),X6)
| in(X9,X8)
| ~ in(X9,the_carrier(X6))
| X8 != topstr_closure(X6,X7)
| ~ element(X8,powerset(the_carrier(X6)))
| ~ element(X7,powerset(the_carrier(X6)))
| lhs_atom3(X6) )
& ( in(X9,esk1_4(X6,X7,X8,X9))
| in(X9,X8)
| ~ in(X9,the_carrier(X6))
| X8 != topstr_closure(X6,X7)
| ~ element(X8,powerset(the_carrier(X6)))
| ~ element(X7,powerset(the_carrier(X6)))
| lhs_atom3(X6) )
& ( disjoint(X7,esk1_4(X6,X7,X8,X9))
| in(X9,X8)
| ~ in(X9,the_carrier(X6))
| X8 != topstr_closure(X6,X7)
| ~ element(X8,powerset(the_carrier(X6)))
| ~ element(X7,powerset(the_carrier(X6)))
| lhs_atom3(X6) )
& ( in(esk2_3(X6,X7,X8),the_carrier(X6))
| X8 = topstr_closure(X6,X7)
| ~ element(X8,powerset(the_carrier(X6)))
| ~ element(X7,powerset(the_carrier(X6)))
| lhs_atom3(X6) )
& ( element(esk3_3(X6,X7,X8),powerset(the_carrier(X6)))
| ~ in(esk2_3(X6,X7,X8),X8)
| X8 = topstr_closure(X6,X7)
| ~ element(X8,powerset(the_carrier(X6)))
| ~ element(X7,powerset(the_carrier(X6)))
| lhs_atom3(X6) )
& ( open_subset(esk3_3(X6,X7,X8),X6)
| ~ in(esk2_3(X6,X7,X8),X8)
| X8 = topstr_closure(X6,X7)
| ~ element(X8,powerset(the_carrier(X6)))
| ~ element(X7,powerset(the_carrier(X6)))
| lhs_atom3(X6) )
& ( in(esk2_3(X6,X7,X8),esk3_3(X6,X7,X8))
| ~ in(esk2_3(X6,X7,X8),X8)
| X8 = topstr_closure(X6,X7)
| ~ element(X8,powerset(the_carrier(X6)))
| ~ element(X7,powerset(the_carrier(X6)))
| lhs_atom3(X6) )
& ( disjoint(X7,esk3_3(X6,X7,X8))
| ~ in(esk2_3(X6,X7,X8),X8)
| X8 = topstr_closure(X6,X7)
| ~ element(X8,powerset(the_carrier(X6)))
| ~ element(X7,powerset(the_carrier(X6)))
| lhs_atom3(X6) )
& ( in(esk2_3(X6,X7,X8),X8)
| ~ element(X14,powerset(the_carrier(X6)))
| ~ open_subset(X14,X6)
| ~ in(esk2_3(X6,X7,X8),X14)
| ~ disjoint(X7,X14)
| X8 = topstr_closure(X6,X7)
| ~ element(X8,powerset(the_carrier(X6)))
| ~ element(X7,powerset(the_carrier(X6)))
| lhs_atom3(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_30])])])])]) ).
fof(c_0_61,plain,
! [X3,X4] :
( lhs_atom3(X3)
| ~ element(X4,powerset(the_carrier(X3)))
| subset(interior(X3,X4),X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])]) ).
fof(c_0_62,plain,
! [X3,X4] :
( lhs_atom6(X3,X4)
| ~ top_str(X4)
| ~ element(X3,powerset(the_carrier(X4))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])]) ).
fof(c_0_63,plain,
! [X3,X4] :
( lhs_atom4(X3,X4)
| ~ top_str(X4)
| ~ element(X3,powerset(the_carrier(X4))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])]) ).
fof(c_0_64,plain,
! [X4,X5,X6] :
( lhs_atom18(X4,X6)
| ~ in(X6,X5)
| ~ element(X5,powerset(X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])]) ).
fof(c_0_65,plain,
! [X4,X5,X6] :
( lhs_atom19(X4,X6)
| ~ subset(X6,X5)
| ~ disjoint(X5,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])]) ).
fof(c_0_66,plain,
! [X3,X4] :
( lhs_atom17(X3,X4)
| ~ subset(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_36]) ).
fof(c_0_67,plain,
! [X3,X4] :
( lhs_atom1(X3,X4)
| ~ in(X3,X4) ),
inference(variable_rename,[status(thm)],[c_0_37]) ).
fof(c_0_68,plain,
! [X3,X4] :
( lhs_atom15(X3,X4)
| empty(X3)
| in(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_38]) ).
fof(c_0_69,plain,
! [X3] :
( ( element(esk4_1(X3),powerset(X3))
| lhs_atom12(X3) )
& ( ~ empty(esk4_1(X3))
| lhs_atom12(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_39])])]) ).
fof(c_0_70,plain,
! [X3,X4] :
( lhs_atom16(X3,X4)
| subset(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_40]) ).
fof(c_0_71,plain,
! [X3,X4] :
( lhs_atom1(X3,X4)
| element(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_41]) ).
fof(c_0_72,plain,
! [X3,X4] :
( lhs_atom14(X3,X4)
| disjoint(X3,X4) ),
inference(variable_rename,[status(thm)],[c_0_42]) ).
fof(c_0_73,plain,
! [X3] :
( lhs_atom10(X3)
| empty_carrier(X3)
| ~ one_sorted_str(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])]) ).
fof(c_0_74,plain,
! [X3] :
( lhs_atom3(X3)
| one_sorted_str(X3) ),
inference(variable_rename,[status(thm)],[c_0_44]) ).
fof(c_0_75,plain,
! [X3] :
( lhs_atom2(X3)
| relation(X3) ),
inference(variable_rename,[status(thm)],[c_0_45]) ).
fof(c_0_76,plain,
! [X3] :
( lhs_atom2(X3)
| function(X3) ),
inference(variable_rename,[status(thm)],[c_0_46]) ).
fof(c_0_77,plain,
! [X3] :
( lhs_atom2(X3)
| X3 = empty_set ),
inference(variable_rename,[status(thm)],[c_0_47]) ).
fof(c_0_78,plain,
! [X3] : lhs_atom13(X3),
inference(variable_rename,[status(thm)],[c_0_48]) ).
fof(c_0_79,plain,
! [X3] : lhs_atom11(X3),
inference(variable_rename,[status(thm)],[c_0_49]) ).
fof(c_0_80,plain,
lhs_atom9,
c_0_50 ).
fof(c_0_81,plain,
lhs_atom8,
c_0_51 ).
fof(c_0_82,plain,
lhs_atom9,
c_0_52 ).
fof(c_0_83,plain,
lhs_atom8,
c_0_53 ).
fof(c_0_84,plain,
lhs_atom7,
c_0_54 ).
fof(c_0_85,plain,
lhs_atom5,
c_0_55 ).
fof(c_0_86,plain,
lhs_atom5,
c_0_56 ).
fof(c_0_87,plain,
lhs_atom5,
c_0_57 ).
fof(c_0_88,plain,
lhs_atom5,
c_0_58 ).
fof(c_0_89,plain,
lhs_atom5,
c_0_59 ).
cnf(c_0_90,plain,
( lhs_atom3(X1)
| in(X4,X3)
| element(esk1_4(X1,X2,X3,X4),powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != topstr_closure(X1,X2)
| ~ in(X4,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_91,plain,
( lhs_atom3(X1)
| in(X4,X3)
| open_subset(esk1_4(X1,X2,X3,X4),X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != topstr_closure(X1,X2)
| ~ in(X4,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_92,plain,
( lhs_atom3(X1)
| in(X4,X3)
| in(X4,esk1_4(X1,X2,X3,X4))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != topstr_closure(X1,X2)
| ~ in(X4,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_93,plain,
( lhs_atom3(X1)
| in(X4,X3)
| disjoint(X2,esk1_4(X1,X2,X3,X4))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != topstr_closure(X1,X2)
| ~ in(X4,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_94,plain,
( lhs_atom3(X1)
| X3 = topstr_closure(X1,X2)
| in(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(esk2_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_95,plain,
( lhs_atom3(X1)
| X3 = topstr_closure(X1,X2)
| in(esk2_3(X1,X2,X3),X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ disjoint(X2,X4)
| ~ in(esk2_3(X1,X2,X3),X4)
| ~ open_subset(X4,X1)
| ~ element(X4,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_96,plain,
( lhs_atom3(X1)
| X3 = topstr_closure(X1,X2)
| element(esk3_3(X1,X2,X3),powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(esk2_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_97,plain,
( lhs_atom3(X1)
| X3 = topstr_closure(X1,X2)
| open_subset(esk3_3(X1,X2,X3),X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(esk2_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_98,plain,
( lhs_atom3(X1)
| X3 = topstr_closure(X1,X2)
| disjoint(X2,esk3_3(X1,X2,X3))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(esk2_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_99,plain,
( lhs_atom3(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != topstr_closure(X1,X2)
| ~ in(X4,the_carrier(X1))
| ~ disjoint(X2,X5)
| ~ in(X4,X5)
| ~ open_subset(X5,X1)
| ~ element(X5,powerset(the_carrier(X1)))
| ~ in(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_100,plain,
( lhs_atom3(X1)
| X3 = topstr_closure(X1,X2)
| in(esk2_3(X1,X2,X3),the_carrier(X1))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_101,plain,
( subset(interior(X1,X2),X2)
| lhs_atom3(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_102,plain,
( lhs_atom6(X1,X2)
| ~ element(X1,powerset(the_carrier(X2)))
| ~ top_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_103,plain,
( lhs_atom4(X1,X2)
| ~ element(X1,powerset(the_carrier(X2)))
| ~ top_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_104,plain,
( lhs_atom18(X2,X3)
| ~ element(X1,powerset(X2))
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_105,plain,
( lhs_atom19(X2,X3)
| ~ disjoint(X1,X2)
| ~ subset(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_106,plain,
( lhs_atom17(X2,X1)
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_107,plain,
( lhs_atom1(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_108,plain,
( in(X1,X2)
| empty(X2)
| lhs_atom15(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_109,plain,
( lhs_atom12(X1)
| element(esk4_1(X1),powerset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_110,plain,
( subset(X1,X2)
| lhs_atom16(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_111,plain,
( element(X1,X2)
| lhs_atom1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_112,plain,
( disjoint(X1,X2)
| lhs_atom14(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_113,plain,
( lhs_atom12(X1)
| ~ empty(esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_114,plain,
( empty_carrier(X1)
| lhs_atom10(X1)
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_115,plain,
( one_sorted_str(X1)
| lhs_atom3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_116,plain,
( relation(X1)
| lhs_atom2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_117,plain,
( function(X1)
| lhs_atom2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_118,plain,
( X1 = empty_set
| lhs_atom2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_119,plain,
lhs_atom13(X1),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_120,plain,
lhs_atom11(X1),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_121,plain,
lhs_atom9,
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_122,plain,
lhs_atom8,
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_123,plain,
lhs_atom9,
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_124,plain,
lhs_atom8,
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_125,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_126,plain,
lhs_atom5,
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_127,plain,
lhs_atom5,
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_128,plain,
lhs_atom5,
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_129,plain,
lhs_atom5,
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_130,plain,
lhs_atom5,
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_131,plain,
( lhs_atom3(X1)
| in(X4,X3)
| element(esk1_4(X1,X2,X3,X4),powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != topstr_closure(X1,X2)
| ~ in(X4,the_carrier(X1)) ),
c_0_90,
[final] ).
cnf(c_0_132,plain,
( lhs_atom3(X1)
| in(X4,X3)
| open_subset(esk1_4(X1,X2,X3,X4),X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != topstr_closure(X1,X2)
| ~ in(X4,the_carrier(X1)) ),
c_0_91,
[final] ).
cnf(c_0_133,plain,
( lhs_atom3(X1)
| in(X4,X3)
| in(X4,esk1_4(X1,X2,X3,X4))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != topstr_closure(X1,X2)
| ~ in(X4,the_carrier(X1)) ),
c_0_92,
[final] ).
cnf(c_0_134,plain,
( lhs_atom3(X1)
| in(X4,X3)
| disjoint(X2,esk1_4(X1,X2,X3,X4))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != topstr_closure(X1,X2)
| ~ in(X4,the_carrier(X1)) ),
c_0_93,
[final] ).
cnf(c_0_135,plain,
( lhs_atom3(X1)
| X3 = topstr_closure(X1,X2)
| in(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(esk2_3(X1,X2,X3),X3) ),
c_0_94,
[final] ).
cnf(c_0_136,plain,
( lhs_atom3(X1)
| X3 = topstr_closure(X1,X2)
| in(esk2_3(X1,X2,X3),X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ disjoint(X2,X4)
| ~ in(esk2_3(X1,X2,X3),X4)
| ~ open_subset(X4,X1)
| ~ element(X4,powerset(the_carrier(X1))) ),
c_0_95,
[final] ).
cnf(c_0_137,plain,
( lhs_atom3(X1)
| X3 = topstr_closure(X1,X2)
| element(esk3_3(X1,X2,X3),powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(esk2_3(X1,X2,X3),X3) ),
c_0_96,
[final] ).
cnf(c_0_138,plain,
( lhs_atom3(X1)
| X3 = topstr_closure(X1,X2)
| open_subset(esk3_3(X1,X2,X3),X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(esk2_3(X1,X2,X3),X3) ),
c_0_97,
[final] ).
cnf(c_0_139,plain,
( lhs_atom3(X1)
| X3 = topstr_closure(X1,X2)
| disjoint(X2,esk3_3(X1,X2,X3))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(esk2_3(X1,X2,X3),X3) ),
c_0_98,
[final] ).
cnf(c_0_140,plain,
( lhs_atom3(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != topstr_closure(X1,X2)
| ~ in(X4,the_carrier(X1))
| ~ disjoint(X2,X5)
| ~ in(X4,X5)
| ~ open_subset(X5,X1)
| ~ element(X5,powerset(the_carrier(X1)))
| ~ in(X4,X3) ),
c_0_99,
[final] ).
cnf(c_0_141,plain,
( lhs_atom3(X1)
| X3 = topstr_closure(X1,X2)
| in(esk2_3(X1,X2,X3),the_carrier(X1))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1))) ),
c_0_100,
[final] ).
cnf(c_0_142,plain,
( subset(interior(X1,X2),X2)
| lhs_atom3(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
c_0_101,
[final] ).
cnf(c_0_143,plain,
( lhs_atom6(X1,X2)
| ~ element(X1,powerset(the_carrier(X2)))
| ~ top_str(X2) ),
c_0_102,
[final] ).
cnf(c_0_144,plain,
( lhs_atom4(X1,X2)
| ~ element(X1,powerset(the_carrier(X2)))
| ~ top_str(X2) ),
c_0_103,
[final] ).
cnf(c_0_145,plain,
( lhs_atom18(X2,X3)
| ~ element(X1,powerset(X2))
| ~ in(X3,X1) ),
c_0_104,
[final] ).
cnf(c_0_146,plain,
( lhs_atom19(X2,X3)
| ~ disjoint(X1,X2)
| ~ subset(X3,X1) ),
c_0_105,
[final] ).
cnf(c_0_147,plain,
( lhs_atom17(X2,X1)
| ~ subset(X1,X2) ),
c_0_106,
[final] ).
cnf(c_0_148,plain,
( lhs_atom1(X1,X2)
| ~ in(X1,X2) ),
c_0_107,
[final] ).
cnf(c_0_149,plain,
( in(X1,X2)
| empty(X2)
| lhs_atom15(X2,X1) ),
c_0_108,
[final] ).
cnf(c_0_150,plain,
( lhs_atom12(X1)
| element(esk4_1(X1),powerset(X1)) ),
c_0_109,
[final] ).
cnf(c_0_151,plain,
( subset(X1,X2)
| lhs_atom16(X2,X1) ),
c_0_110,
[final] ).
cnf(c_0_152,plain,
( element(X1,X2)
| lhs_atom1(X2,X1) ),
c_0_111,
[final] ).
cnf(c_0_153,plain,
( disjoint(X1,X2)
| lhs_atom14(X1,X2) ),
c_0_112,
[final] ).
cnf(c_0_154,plain,
( lhs_atom12(X1)
| ~ empty(esk4_1(X1)) ),
c_0_113,
[final] ).
cnf(c_0_155,plain,
( empty_carrier(X1)
| lhs_atom10(X1)
| ~ one_sorted_str(X1) ),
c_0_114,
[final] ).
cnf(c_0_156,plain,
( one_sorted_str(X1)
| lhs_atom3(X1) ),
c_0_115,
[final] ).
cnf(c_0_157,plain,
( relation(X1)
| lhs_atom2(X1) ),
c_0_116,
[final] ).
cnf(c_0_158,plain,
( function(X1)
| lhs_atom2(X1) ),
c_0_117,
[final] ).
cnf(c_0_159,plain,
( X1 = empty_set
| lhs_atom2(X1) ),
c_0_118,
[final] ).
cnf(c_0_160,plain,
lhs_atom13(X1),
c_0_119,
[final] ).
cnf(c_0_161,plain,
lhs_atom11(X1),
c_0_120,
[final] ).
cnf(c_0_162,plain,
lhs_atom9,
c_0_121,
[final] ).
cnf(c_0_163,plain,
lhs_atom8,
c_0_122,
[final] ).
cnf(c_0_164,plain,
lhs_atom9,
c_0_123,
[final] ).
cnf(c_0_165,plain,
lhs_atom8,
c_0_124,
[final] ).
cnf(c_0_166,plain,
lhs_atom7,
c_0_125,
[final] ).
cnf(c_0_167,plain,
lhs_atom5,
c_0_126,
[final] ).
cnf(c_0_168,plain,
lhs_atom5,
c_0_127,
[final] ).
cnf(c_0_169,plain,
lhs_atom5,
c_0_128,
[final] ).
cnf(c_0_170,plain,
lhs_atom5,
c_0_129,
[final] ).
cnf(c_0_171,plain,
lhs_atom5,
c_0_130,
[final] ).
% End CNF derivation
cnf(c_0_131_0,axiom,
( ~ top_str(X1)
| in(X4,X3)
| element(sk1_esk1_4(X1,X2,X3,X4),powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != topstr_closure(X1,X2)
| ~ in(X4,the_carrier(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_131,def_lhs_atom3]) ).
cnf(c_0_132_0,axiom,
( ~ top_str(X1)
| in(X4,X3)
| open_subset(sk1_esk1_4(X1,X2,X3,X4),X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != topstr_closure(X1,X2)
| ~ in(X4,the_carrier(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_132,def_lhs_atom3]) ).
cnf(c_0_133_0,axiom,
( ~ top_str(X1)
| in(X4,X3)
| in(X4,sk1_esk1_4(X1,X2,X3,X4))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != topstr_closure(X1,X2)
| ~ in(X4,the_carrier(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_133,def_lhs_atom3]) ).
cnf(c_0_134_0,axiom,
( ~ top_str(X1)
| in(X4,X3)
| disjoint(X2,sk1_esk1_4(X1,X2,X3,X4))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != topstr_closure(X1,X2)
| ~ in(X4,the_carrier(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_134,def_lhs_atom3]) ).
cnf(c_0_135_0,axiom,
( ~ top_str(X1)
| X3 = topstr_closure(X1,X2)
| in(sk1_esk2_3(X1,X2,X3),sk1_esk3_3(X1,X2,X3))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(sk1_esk2_3(X1,X2,X3),X3) ),
inference(unfold_definition,[status(thm)],[c_0_135,def_lhs_atom3]) ).
cnf(c_0_136_0,axiom,
( ~ top_str(X1)
| X3 = topstr_closure(X1,X2)
| in(sk1_esk2_3(X1,X2,X3),X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ disjoint(X2,X4)
| ~ in(sk1_esk2_3(X1,X2,X3),X4)
| ~ open_subset(X4,X1)
| ~ element(X4,powerset(the_carrier(X1))) ),
inference(unfold_definition,[status(thm)],[c_0_136,def_lhs_atom3]) ).
cnf(c_0_137_0,axiom,
( ~ top_str(X1)
| X3 = topstr_closure(X1,X2)
| element(sk1_esk3_3(X1,X2,X3),powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(sk1_esk2_3(X1,X2,X3),X3) ),
inference(unfold_definition,[status(thm)],[c_0_137,def_lhs_atom3]) ).
cnf(c_0_138_0,axiom,
( ~ top_str(X1)
| X3 = topstr_closure(X1,X2)
| open_subset(sk1_esk3_3(X1,X2,X3),X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(sk1_esk2_3(X1,X2,X3),X3) ),
inference(unfold_definition,[status(thm)],[c_0_138,def_lhs_atom3]) ).
cnf(c_0_139_0,axiom,
( ~ top_str(X1)
| X3 = topstr_closure(X1,X2)
| disjoint(X2,sk1_esk3_3(X1,X2,X3))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(sk1_esk2_3(X1,X2,X3),X3) ),
inference(unfold_definition,[status(thm)],[c_0_139,def_lhs_atom3]) ).
cnf(c_0_140_0,axiom,
( ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != topstr_closure(X1,X2)
| ~ in(X4,the_carrier(X1))
| ~ disjoint(X2,X5)
| ~ in(X4,X5)
| ~ open_subset(X5,X1)
| ~ element(X5,powerset(the_carrier(X1)))
| ~ in(X4,X3) ),
inference(unfold_definition,[status(thm)],[c_0_140,def_lhs_atom3]) ).
cnf(c_0_141_0,axiom,
( ~ top_str(X1)
| X3 = topstr_closure(X1,X2)
| in(sk1_esk2_3(X1,X2,X3),the_carrier(X1))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1))) ),
inference(unfold_definition,[status(thm)],[c_0_141,def_lhs_atom3]) ).
cnf(c_0_142_0,axiom,
( ~ top_str(X1)
| subset(interior(X1,X2),X2)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(unfold_definition,[status(thm)],[c_0_142,def_lhs_atom3]) ).
cnf(c_0_143_0,axiom,
( element(topstr_closure(X2,X1),powerset(the_carrier(X2)))
| ~ element(X1,powerset(the_carrier(X2)))
| ~ top_str(X2) ),
inference(unfold_definition,[status(thm)],[c_0_143,def_lhs_atom6]) ).
cnf(c_0_144_0,axiom,
( element(interior(X2,X1),powerset(the_carrier(X2)))
| ~ element(X1,powerset(the_carrier(X2)))
| ~ top_str(X2) ),
inference(unfold_definition,[status(thm)],[c_0_144,def_lhs_atom4]) ).
cnf(c_0_145_0,axiom,
( element(X3,X2)
| ~ element(X1,powerset(X2))
| ~ in(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_145,def_lhs_atom18]) ).
cnf(c_0_146_0,axiom,
( disjoint(X3,X2)
| ~ disjoint(X1,X2)
| ~ subset(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_146,def_lhs_atom19]) ).
cnf(c_0_147_0,axiom,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_147,def_lhs_atom17]) ).
cnf(c_0_148_0,axiom,
( ~ in(X2,X1)
| ~ in(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_148,def_lhs_atom1]) ).
cnf(c_0_149_0,axiom,
( ~ element(X1,X2)
| in(X1,X2)
| empty(X2) ),
inference(unfold_definition,[status(thm)],[c_0_149,def_lhs_atom15]) ).
cnf(c_0_150_0,axiom,
( empty(X1)
| element(sk1_esk4_1(X1),powerset(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_150,def_lhs_atom12]) ).
cnf(c_0_151_0,axiom,
( ~ element(X1,powerset(X2))
| subset(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_151,def_lhs_atom16]) ).
cnf(c_0_152_0,axiom,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_152,def_lhs_atom1]) ).
cnf(c_0_153_0,axiom,
( ~ disjoint(X2,X1)
| disjoint(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_153,def_lhs_atom14]) ).
cnf(c_0_154_0,axiom,
( empty(X1)
| ~ empty(sk1_esk4_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_154,def_lhs_atom12]) ).
cnf(c_0_155_0,axiom,
( ~ empty(the_carrier(X1))
| empty_carrier(X1)
| ~ one_sorted_str(X1) ),
inference(unfold_definition,[status(thm)],[c_0_155,def_lhs_atom10]) ).
cnf(c_0_156_0,axiom,
( ~ top_str(X1)
| one_sorted_str(X1) ),
inference(unfold_definition,[status(thm)],[c_0_156,def_lhs_atom3]) ).
cnf(c_0_157_0,axiom,
( ~ empty(X1)
| relation(X1) ),
inference(unfold_definition,[status(thm)],[c_0_157,def_lhs_atom2]) ).
cnf(c_0_158_0,axiom,
( ~ empty(X1)
| function(X1) ),
inference(unfold_definition,[status(thm)],[c_0_158,def_lhs_atom2]) ).
cnf(c_0_159_0,axiom,
( ~ empty(X1)
| X1 = empty_set ),
inference(unfold_definition,[status(thm)],[c_0_159,def_lhs_atom2]) ).
cnf(c_0_160_0,axiom,
subset(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_160,def_lhs_atom13]) ).
cnf(c_0_161_0,axiom,
~ empty(powerset(X1)),
inference(unfold_definition,[status(thm)],[c_0_161,def_lhs_atom11]) ).
cnf(c_0_162_0,axiom,
empty(empty_set),
inference(unfold_definition,[status(thm)],[c_0_162,def_lhs_atom9]) ).
cnf(c_0_163_0,axiom,
relation(empty_set),
inference(unfold_definition,[status(thm)],[c_0_163,def_lhs_atom8]) ).
cnf(c_0_164_0,axiom,
empty(empty_set),
inference(unfold_definition,[status(thm)],[c_0_164,def_lhs_atom9]) ).
cnf(c_0_165_0,axiom,
relation(empty_set),
inference(unfold_definition,[status(thm)],[c_0_165,def_lhs_atom8]) ).
cnf(c_0_166_0,axiom,
relation_empty_yielding(empty_set),
inference(unfold_definition,[status(thm)],[c_0_166,def_lhs_atom7]) ).
cnf(c_0_167_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_167,def_lhs_atom5]) ).
cnf(c_0_168_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_168,def_lhs_atom5]) ).
cnf(c_0_169_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_169,def_lhs_atom5]) ).
cnf(c_0_170_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_170,def_lhs_atom5]) ).
cnf(c_0_171_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_171,def_lhs_atom5]) ).
% 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] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,powerset(the_carrier(X1)))
=> ( point_neighbourhood(X3,X1,X2)
<=> in(X2,interior(X1,X3)) ) ) ) ),
file('<stdin>',d1_connsp_2) ).
fof(c_0_1_002,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( ( open_subset(X2,X1)
& in(X3,X2) )
=> point_neighbourhood(X2,X1,X3) ) ) ) ),
file('<stdin>',t5_connsp_2) ).
fof(c_0_2_003,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_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) ),
file('<stdin>',existence_m1_connsp_2) ).
fof(c_0_4_005,axiom,
! [X1] :
( ( topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> open_subset(interior(X1,X2),X1) ) ),
file('<stdin>',t51_tops_1) ).
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,powerset(X1))
& empty(X2) ),
file('<stdin>',rc2_subset_1) ).
fof(c_0_9_010,axiom,
! [X1] :
( ( relation(X1)
& empty(X1)
& function(X1) )
=> ( relation(X1)
& function(X1)
& one_to_one(X1) ) ),
file('<stdin>',cc2_funct_1) ).
fof(c_0_10_011,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('<stdin>',existence_m1_subset_1) ).
fof(c_0_11_012,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('<stdin>',t8_boole) ).
fof(c_0_12_013,axiom,
? [X1] :
( ~ empty(X1)
& relation(X1) ),
file('<stdin>',rc2_relat_1) ).
fof(c_0_13_014,axiom,
? [X1] :
( one_sorted_str(X1)
& ~ empty_carrier(X1) ),
file('<stdin>',rc3_struct_0) ).
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] :
( relation(X1)
& function(X1) ),
file('<stdin>',rc1_funct_1) ).
fof(c_0_17_018,axiom,
? [X1] :
( relation(X1)
& relation_empty_yielding(X1)
& function(X1) ),
file('<stdin>',rc1_pboole) ).
fof(c_0_18_019,axiom,
? [X1] :
( empty(X1)
& relation(X1) ),
file('<stdin>',rc1_relat_1) ).
fof(c_0_19_020,axiom,
? [X1] :
( relation(X1)
& empty(X1)
& function(X1) ),
file('<stdin>',rc2_funct_1) ).
fof(c_0_20_021,axiom,
? [X1] :
( relation(X1)
& function(X1)
& one_to_one(X1) ),
file('<stdin>',rc3_funct_1) ).
fof(c_0_21_022,axiom,
? [X1] :
( relation(X1)
& relation_empty_yielding(X1) ),
file('<stdin>',rc3_relat_1) ).
fof(c_0_22_023,axiom,
? [X1] :
( relation(X1)
& relation_empty_yielding(X1)
& function(X1) ),
file('<stdin>',rc4_funct_1) ).
fof(c_0_23_024,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,powerset(the_carrier(X1)))
=> ( point_neighbourhood(X3,X1,X2)
<=> in(X2,interior(X1,X3)) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_24_025,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( ( open_subset(X2,X1)
& in(X3,X2) )
=> point_neighbourhood(X2,X1,X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_25_026,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_2]) ).
fof(c_0_26_027,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_3]) ).
fof(c_0_27_028,axiom,
! [X1] :
( ( topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> open_subset(interior(X1,X2),X1) ) ),
c_0_4 ).
fof(c_0_28_029,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
c_0_5 ).
fof(c_0_29_030,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_30_031,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
c_0_7 ).
fof(c_0_31_032,axiom,
! [X1] :
? [X2] :
( element(X2,powerset(X1))
& empty(X2) ),
c_0_8 ).
fof(c_0_32_033,axiom,
! [X1] :
( ( relation(X1)
& empty(X1)
& function(X1) )
=> ( relation(X1)
& function(X1)
& one_to_one(X1) ) ),
c_0_9 ).
fof(c_0_33_034,axiom,
! [X1] :
? [X2] : element(X2,X1),
c_0_10 ).
fof(c_0_34_035,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
c_0_11 ).
fof(c_0_35_036,plain,
? [X1] :
( ~ empty(X1)
& relation(X1) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_36_037,plain,
? [X1] :
( one_sorted_str(X1)
& ~ empty_carrier(X1) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_37_038,axiom,
? [X1] : top_str(X1),
c_0_14 ).
fof(c_0_38_039,axiom,
? [X1] : one_sorted_str(X1),
c_0_15 ).
fof(c_0_39_040,axiom,
? [X1] :
( relation(X1)
& function(X1) ),
c_0_16 ).
fof(c_0_40_041,axiom,
? [X1] :
( relation(X1)
& relation_empty_yielding(X1)
& function(X1) ),
c_0_17 ).
fof(c_0_41_042,axiom,
? [X1] :
( empty(X1)
& relation(X1) ),
c_0_18 ).
fof(c_0_42_043,axiom,
? [X1] :
( relation(X1)
& empty(X1)
& function(X1) ),
c_0_19 ).
fof(c_0_43_044,axiom,
? [X1] :
( relation(X1)
& function(X1)
& one_to_one(X1) ),
c_0_20 ).
fof(c_0_44_045,axiom,
? [X1] :
( relation(X1)
& relation_empty_yielding(X1) ),
c_0_21 ).
fof(c_0_45_046,axiom,
? [X1] :
( relation(X1)
& relation_empty_yielding(X1)
& function(X1) ),
c_0_22 ).
fof(c_0_46_047,plain,
! [X4,X5,X6] :
( ( ~ point_neighbourhood(X6,X4,X5)
| in(X5,interior(X4,X6))
| ~ element(X6,powerset(the_carrier(X4)))
| ~ element(X5,the_carrier(X4))
| empty_carrier(X4)
| ~ topological_space(X4)
| ~ top_str(X4) )
& ( ~ in(X5,interior(X4,X6))
| point_neighbourhood(X6,X4,X5)
| ~ element(X6,powerset(the_carrier(X4)))
| ~ element(X5,the_carrier(X4))
| empty_carrier(X4)
| ~ topological_space(X4)
| ~ top_str(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).
fof(c_0_47_048,plain,
! [X4,X5,X6] :
( empty_carrier(X4)
| ~ topological_space(X4)
| ~ top_str(X4)
| ~ element(X5,powerset(the_carrier(X4)))
| ~ element(X6,the_carrier(X4))
| ~ open_subset(X5,X4)
| ~ in(X6,X5)
| point_neighbourhood(X5,X4,X6) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
fof(c_0_48_049,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_25])])]) ).
fof(c_0_49_050,plain,
! [X4,X5] :
( empty_carrier(X4)
| ~ topological_space(X4)
| ~ top_str(X4)
| ~ element(X5,the_carrier(X4))
| point_neighbourhood(esk13_2(X4,X5),X4,X5) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
fof(c_0_50_051,plain,
! [X3,X4] :
( ~ topological_space(X3)
| ~ top_str(X3)
| ~ element(X4,powerset(the_carrier(X3)))
| open_subset(interior(X3,X4),X3) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
fof(c_0_51_052,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_28])])])]) ).
fof(c_0_52_053,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_29])])])]) ).
fof(c_0_53_054,plain,
! [X3,X4] :
( ~ in(X3,X4)
| ~ empty(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])]) ).
fof(c_0_54_055,plain,
! [X3] :
( element(esk6_1(X3),powerset(X3))
& empty(esk6_1(X3)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_31])]) ).
fof(c_0_55_056,plain,
! [X2] :
( ( relation(X2)
| ~ relation(X2)
| ~ empty(X2)
| ~ function(X2) )
& ( function(X2)
| ~ relation(X2)
| ~ empty(X2)
| ~ function(X2) )
& ( one_to_one(X2)
| ~ relation(X2)
| ~ empty(X2)
| ~ function(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
fof(c_0_56_057,plain,
! [X3] : element(esk12_1(X3),X3),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_33])]) ).
fof(c_0_57_058,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_34])])])]) ).
fof(c_0_58_059,plain,
( ~ empty(esk7_0)
& relation(esk7_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_35])]) ).
fof(c_0_59_060,plain,
( one_sorted_str(esk3_0)
& ~ empty_carrier(esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_36])]) ).
fof(c_0_60_061,plain,
top_str(esk15_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_37])]) ).
fof(c_0_61_062,plain,
one_sorted_str(esk14_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_38])]) ).
fof(c_0_62_063,plain,
( relation(esk11_0)
& function(esk11_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_39])]) ).
fof(c_0_63_064,plain,
( relation(esk10_0)
& relation_empty_yielding(esk10_0)
& function(esk10_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_40])]) ).
fof(c_0_64_065,plain,
( empty(esk9_0)
& relation(esk9_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_41])]) ).
fof(c_0_65_066,plain,
( relation(esk8_0)
& empty(esk8_0)
& function(esk8_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_42])]) ).
fof(c_0_66_067,plain,
( relation(esk5_0)
& function(esk5_0)
& one_to_one(esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_43])]) ).
fof(c_0_67_068,plain,
( relation(esk4_0)
& relation_empty_yielding(esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_44])]) ).
fof(c_0_68_069,plain,
( relation(esk2_0)
& relation_empty_yielding(esk2_0)
& function(esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_45])]) ).
cnf(c_0_69_070,plain,
( empty_carrier(X1)
| in(X2,interior(X1,X3))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ point_neighbourhood(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_70_071,plain,
( empty_carrier(X1)
| point_neighbourhood(X3,X1,X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(X2,interior(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_71_072,plain,
( point_neighbourhood(X1,X2,X3)
| empty_carrier(X2)
| ~ in(X3,X1)
| ~ open_subset(X1,X2)
| ~ element(X3,the_carrier(X2))
| ~ element(X1,powerset(the_carrier(X2)))
| ~ top_str(X2)
| ~ topological_space(X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_72_073,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_48]) ).
cnf(c_0_73_074,plain,
( point_neighbourhood(esk13_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_49]) ).
cnf(c_0_74_075,plain,
( open_subset(interior(X1,X2),X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_75_076,plain,
( ~ empty(X1)
| ~ element(X2,powerset(X1))
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_76_077,plain,
( empty_carrier(X1)
| element(esk1_1(X1),powerset(the_carrier(X1)))
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_77_078,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_78_079,plain,
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_79_080,plain,
element(esk6_1(X1),powerset(X1)),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_80_081,plain,
( relation(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_81_082,plain,
( function(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_82_083,plain,
( one_to_one(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_83_084,plain,
element(esk12_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_84_085,plain,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_85_086,plain,
empty(esk6_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_86_087,plain,
~ empty(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_87_088,plain,
~ empty_carrier(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_88_089,plain,
top_str(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_89_090,plain,
one_sorted_str(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_90_091,plain,
relation(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_91_092,plain,
function(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_92_093,plain,
relation(esk10_0),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_93_094,plain,
relation_empty_yielding(esk10_0),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_94_095,plain,
function(esk10_0),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_95_096,plain,
empty(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_96_097,plain,
relation(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_97_098,plain,
relation(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_98_099,plain,
empty(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_99_100,plain,
function(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_100_101,plain,
relation(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_101_102,plain,
relation(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_102_103,plain,
function(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_103_104,plain,
one_to_one(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_104_105,plain,
relation(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_105_106,plain,
relation_empty_yielding(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_106_107,plain,
one_sorted_str(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_107_108,plain,
relation(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_108_109,plain,
relation_empty_yielding(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_109_110,plain,
function(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_110_111,plain,
( empty_carrier(X1)
| in(X2,interior(X1,X3))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ point_neighbourhood(X3,X1,X2) ),
c_0_69,
[final] ).
cnf(c_0_111_112,plain,
( empty_carrier(X1)
| point_neighbourhood(X3,X1,X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(X2,interior(X1,X3)) ),
c_0_70,
[final] ).
cnf(c_0_112_113,plain,
( point_neighbourhood(X1,X2,X3)
| empty_carrier(X2)
| ~ in(X3,X1)
| ~ open_subset(X1,X2)
| ~ element(X3,the_carrier(X2))
| ~ element(X1,powerset(the_carrier(X2)))
| ~ top_str(X2)
| ~ topological_space(X2) ),
c_0_71,
[final] ).
cnf(c_0_113_114,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_72,
[final] ).
cnf(c_0_114_115,plain,
( point_neighbourhood(esk13_2(X1,X2),X1,X2)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1) ),
c_0_73,
[final] ).
cnf(c_0_115_116,plain,
( open_subset(interior(X1,X2),X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
c_0_74,
[final] ).
cnf(c_0_116_117,plain,
( ~ empty(X1)
| ~ element(X2,powerset(X1))
| ~ in(X3,X2) ),
c_0_75,
[final] ).
cnf(c_0_117_118,plain,
( empty_carrier(X1)
| element(esk1_1(X1),powerset(the_carrier(X1)))
| ~ one_sorted_str(X1) ),
c_0_76,
[final] ).
cnf(c_0_118_119,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
c_0_77,
[final] ).
cnf(c_0_119_120,plain,
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(esk1_1(X1)) ),
c_0_78,
[final] ).
cnf(c_0_120_121,plain,
element(esk6_1(X1),powerset(X1)),
c_0_79,
[final] ).
cnf(c_0_121_122,plain,
( relation(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
c_0_80,
[final] ).
cnf(c_0_122_123,plain,
( function(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
c_0_81,
[final] ).
cnf(c_0_123_124,plain,
( one_to_one(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
c_0_82,
[final] ).
cnf(c_0_124_125,plain,
element(esk12_1(X1),X1),
c_0_83,
[final] ).
cnf(c_0_125_126,plain,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
c_0_84,
[final] ).
cnf(c_0_126_127,plain,
empty(esk6_1(X1)),
c_0_85,
[final] ).
cnf(c_0_127_128,plain,
~ empty(esk7_0),
c_0_86,
[final] ).
cnf(c_0_128_129,plain,
~ empty_carrier(esk3_0),
c_0_87,
[final] ).
cnf(c_0_129_130,plain,
top_str(esk15_0),
c_0_88,
[final] ).
cnf(c_0_130_131,plain,
one_sorted_str(esk14_0),
c_0_89,
[final] ).
cnf(c_0_131_132,plain,
relation(esk11_0),
c_0_90,
[final] ).
cnf(c_0_132_133,plain,
function(esk11_0),
c_0_91,
[final] ).
cnf(c_0_133_134,plain,
relation(esk10_0),
c_0_92,
[final] ).
cnf(c_0_134_135,plain,
relation_empty_yielding(esk10_0),
c_0_93,
[final] ).
cnf(c_0_135_136,plain,
function(esk10_0),
c_0_94,
[final] ).
cnf(c_0_136_137,plain,
empty(esk9_0),
c_0_95,
[final] ).
cnf(c_0_137_138,plain,
relation(esk9_0),
c_0_96,
[final] ).
cnf(c_0_138_139,plain,
relation(esk8_0),
c_0_97,
[final] ).
cnf(c_0_139_140,plain,
empty(esk8_0),
c_0_98,
[final] ).
cnf(c_0_140_141,plain,
function(esk8_0),
c_0_99,
[final] ).
cnf(c_0_141_142,plain,
relation(esk7_0),
c_0_100,
[final] ).
cnf(c_0_142_143,plain,
relation(esk5_0),
c_0_101,
[final] ).
cnf(c_0_143_144,plain,
function(esk5_0),
c_0_102,
[final] ).
cnf(c_0_144_145,plain,
one_to_one(esk5_0),
c_0_103,
[final] ).
cnf(c_0_145_146,plain,
relation(esk4_0),
c_0_104,
[final] ).
cnf(c_0_146_147,plain,
relation_empty_yielding(esk4_0),
c_0_105,
[final] ).
cnf(c_0_147_148,plain,
one_sorted_str(esk3_0),
c_0_106,
[final] ).
cnf(c_0_148_149,plain,
relation(esk2_0),
c_0_107,
[final] ).
cnf(c_0_149_150,plain,
relation_empty_yielding(esk2_0),
c_0_108,
[final] ).
cnf(c_0_150_151,plain,
function(esk2_0),
c_0_109,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_110_0,axiom,
( empty_carrier(X1)
| in(X2,interior(X1,X3))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ point_neighbourhood(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_1,axiom,
( in(X2,interior(X1,X3))
| empty_carrier(X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ point_neighbourhood(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_2,axiom,
( ~ top_str(X1)
| in(X2,interior(X1,X3))
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ point_neighbourhood(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_3,axiom,
( ~ topological_space(X1)
| ~ top_str(X1)
| in(X2,interior(X1,X3))
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ point_neighbourhood(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_4,axiom,
( ~ element(X2,the_carrier(X1))
| ~ topological_space(X1)
| ~ top_str(X1)
| in(X2,interior(X1,X3))
| empty_carrier(X1)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ point_neighbourhood(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_5,axiom,
( ~ element(X3,powerset(the_carrier(X1)))
| ~ element(X2,the_carrier(X1))
| ~ topological_space(X1)
| ~ top_str(X1)
| in(X2,interior(X1,X3))
| empty_carrier(X1)
| ~ point_neighbourhood(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_6,axiom,
( ~ point_neighbourhood(X3,X1,X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ element(X2,the_carrier(X1))
| ~ topological_space(X1)
| ~ top_str(X1)
| in(X2,interior(X1,X3))
| empty_carrier(X1) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_111_0,axiom,
( empty_carrier(X1)
| point_neighbourhood(X3,X1,X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(X2,interior(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_1,axiom,
( point_neighbourhood(X3,X1,X2)
| empty_carrier(X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(X2,interior(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_2,axiom,
( ~ top_str(X1)
| point_neighbourhood(X3,X1,X2)
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(X2,interior(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_3,axiom,
( ~ topological_space(X1)
| ~ top_str(X1)
| point_neighbourhood(X3,X1,X2)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(X2,interior(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_4,axiom,
( ~ element(X2,the_carrier(X1))
| ~ topological_space(X1)
| ~ top_str(X1)
| point_neighbourhood(X3,X1,X2)
| empty_carrier(X1)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(X2,interior(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_5,axiom,
( ~ element(X3,powerset(the_carrier(X1)))
| ~ element(X2,the_carrier(X1))
| ~ topological_space(X1)
| ~ top_str(X1)
| point_neighbourhood(X3,X1,X2)
| empty_carrier(X1)
| ~ in(X2,interior(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_6,axiom,
( ~ in(X2,interior(X1,X3))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ element(X2,the_carrier(X1))
| ~ topological_space(X1)
| ~ top_str(X1)
| point_neighbourhood(X3,X1,X2)
| empty_carrier(X1) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_112_0,axiom,
( point_neighbourhood(X1,X2,X3)
| empty_carrier(X2)
| ~ in(X3,X1)
| ~ open_subset(X1,X2)
| ~ element(X3,the_carrier(X2))
| ~ element(X1,powerset(the_carrier(X2)))
| ~ top_str(X2)
| ~ topological_space(X2) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_1,axiom,
( empty_carrier(X2)
| point_neighbourhood(X1,X2,X3)
| ~ in(X3,X1)
| ~ open_subset(X1,X2)
| ~ element(X3,the_carrier(X2))
| ~ element(X1,powerset(the_carrier(X2)))
| ~ top_str(X2)
| ~ topological_space(X2) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_2,axiom,
( ~ in(X3,X1)
| empty_carrier(X2)
| point_neighbourhood(X1,X2,X3)
| ~ open_subset(X1,X2)
| ~ element(X3,the_carrier(X2))
| ~ element(X1,powerset(the_carrier(X2)))
| ~ top_str(X2)
| ~ topological_space(X2) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_3,axiom,
( ~ open_subset(X1,X2)
| ~ in(X3,X1)
| empty_carrier(X2)
| point_neighbourhood(X1,X2,X3)
| ~ element(X3,the_carrier(X2))
| ~ element(X1,powerset(the_carrier(X2)))
| ~ top_str(X2)
| ~ topological_space(X2) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_4,axiom,
( ~ element(X3,the_carrier(X2))
| ~ open_subset(X1,X2)
| ~ in(X3,X1)
| empty_carrier(X2)
| point_neighbourhood(X1,X2,X3)
| ~ element(X1,powerset(the_carrier(X2)))
| ~ top_str(X2)
| ~ topological_space(X2) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_5,axiom,
( ~ element(X1,powerset(the_carrier(X2)))
| ~ element(X3,the_carrier(X2))
| ~ open_subset(X1,X2)
| ~ in(X3,X1)
| empty_carrier(X2)
| point_neighbourhood(X1,X2,X3)
| ~ top_str(X2)
| ~ topological_space(X2) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_6,axiom,
( ~ top_str(X2)
| ~ element(X1,powerset(the_carrier(X2)))
| ~ element(X3,the_carrier(X2))
| ~ open_subset(X1,X2)
| ~ in(X3,X1)
| empty_carrier(X2)
| point_neighbourhood(X1,X2,X3)
| ~ topological_space(X2) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_7,axiom,
( ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X1,powerset(the_carrier(X2)))
| ~ element(X3,the_carrier(X2))
| ~ open_subset(X1,X2)
| ~ in(X3,X1)
| empty_carrier(X2)
| point_neighbourhood(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_113_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_113]) ).
cnf(c_0_113_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_113]) ).
cnf(c_0_113_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_113]) ).
cnf(c_0_113_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_113]) ).
cnf(c_0_113_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_113]) ).
cnf(c_0_113_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_113]) ).
cnf(c_0_114_0,axiom,
( point_neighbourhood(sk2_esk13_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_114]) ).
cnf(c_0_114_1,axiom,
( empty_carrier(X1)
| point_neighbourhood(sk2_esk13_2(X1,X2),X1,X2)
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_2,axiom,
( ~ element(X2,the_carrier(X1))
| empty_carrier(X1)
| point_neighbourhood(sk2_esk13_2(X1,X2),X1,X2)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_3,axiom,
( ~ top_str(X1)
| ~ element(X2,the_carrier(X1))
| empty_carrier(X1)
| point_neighbourhood(sk2_esk13_2(X1,X2),X1,X2)
| ~ topological_space(X1) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_4,axiom,
( ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,the_carrier(X1))
| empty_carrier(X1)
| point_neighbourhood(sk2_esk13_2(X1,X2),X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_115_0,axiom,
( open_subset(interior(X1,X2),X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_1,axiom,
( ~ element(X2,powerset(the_carrier(X1)))
| open_subset(interior(X1,X2),X1)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_2,axiom,
( ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| open_subset(interior(X1,X2),X1)
| ~ topological_space(X1) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_3,axiom,
( ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| open_subset(interior(X1,X2),X1) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_116_0,axiom,
( ~ empty(X1)
| ~ element(X2,powerset(X1))
| ~ in(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_116_1,axiom,
( ~ element(X2,powerset(X1))
| ~ empty(X1)
| ~ in(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_116_2,axiom,
( ~ in(X3,X2)
| ~ element(X2,powerset(X1))
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_117_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_117]) ).
cnf(c_0_117_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_117]) ).
cnf(c_0_117_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_117]) ).
cnf(c_0_118_0,axiom,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_118_1,axiom,
( ~ in(X2,X1)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_119_0,axiom,
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(sk2_esk1_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_119_1,axiom,
( ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ empty(sk2_esk1_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_119_2,axiom,
( ~ empty(sk2_esk1_1(X1))
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_121_0,axiom,
( relation(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_121_1,axiom,
( ~ function(X1)
| relation(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_121_2,axiom,
( ~ empty(X1)
| ~ function(X1)
| relation(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_121_3,axiom,
( ~ relation(X1)
| ~ empty(X1)
| ~ function(X1)
| relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_122_0,axiom,
( function(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_1,axiom,
( ~ function(X1)
| function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_2,axiom,
( ~ empty(X1)
| ~ function(X1)
| function(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_3,axiom,
( ~ relation(X1)
| ~ empty(X1)
| ~ function(X1)
| function(X1) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_123_0,axiom,
( one_to_one(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_1,axiom,
( ~ function(X1)
| one_to_one(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_2,axiom,
( ~ empty(X1)
| ~ function(X1)
| one_to_one(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_3,axiom,
( ~ relation(X1)
| ~ empty(X1)
| ~ function(X1)
| one_to_one(X1) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_125_0,axiom,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_1,axiom,
( ~ empty(X1)
| X2 = X1
| ~ empty(X2) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_2,axiom,
( ~ empty(X2)
| ~ empty(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_127_0,axiom,
~ empty(sk2_esk7_0),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_128_0,axiom,
~ empty_carrier(sk2_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_120_0,axiom,
element(sk2_esk6_1(X1),powerset(X1)),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_124_0,axiom,
element(sk2_esk12_1(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_126_0,axiom,
empty(sk2_esk6_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_129_0,axiom,
top_str(sk2_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_130_0,axiom,
one_sorted_str(sk2_esk14_0),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_131_1,axiom,
relation(sk2_esk11_0),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_132_1,axiom,
function(sk2_esk11_0),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_133_1,axiom,
relation(sk2_esk10_0),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_134_1,axiom,
relation_empty_yielding(sk2_esk10_0),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_135_1,axiom,
function(sk2_esk10_0),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_136_1,axiom,
empty(sk2_esk9_0),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_137_1,axiom,
relation(sk2_esk9_0),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_138_1,axiom,
relation(sk2_esk8_0),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_139_1,axiom,
empty(sk2_esk8_0),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_140_1,axiom,
function(sk2_esk8_0),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_141_1,axiom,
relation(sk2_esk7_0),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_142_1,axiom,
relation(sk2_esk5_0),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_143_1,axiom,
function(sk2_esk5_0),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_144_1,axiom,
one_to_one(sk2_esk5_0),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_145_1,axiom,
relation(sk2_esk4_0),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_146_1,axiom,
relation_empty_yielding(sk2_esk4_0),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_147_1,axiom,
one_sorted_str(sk2_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_148_1,axiom,
relation(sk2_esk2_0),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_149_1,axiom,
relation_empty_yielding(sk2_esk2_0),
inference(literals_permutation,[status(thm)],[c_0_149]) ).
cnf(c_0_150_1,axiom,
function(sk2_esk2_0),
inference(literals_permutation,[status(thm)],[c_0_150]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_152,conjecture,
! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( in(X3,topstr_closure(X1,X2))
<=> ! [X4] :
( point_neighbourhood(X4,X1,X3)
=> ~ disjoint(X4,X2) ) ) ) ) ),
file('<stdin>',t6_yellow_6) ).
fof(c_0_1_153,negated_conjecture,
~ ! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( in(X3,topstr_closure(X1,X2))
<=> ! [X4] :
( point_neighbourhood(X4,X1,X3)
=> ~ disjoint(X4,X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).
fof(c_0_2_154,negated_conjecture,
! [X9] :
( ~ empty_carrier(esk1_0)
& topological_space(esk1_0)
& top_str(esk1_0)
& element(esk2_0,powerset(the_carrier(esk1_0)))
& element(esk3_0,the_carrier(esk1_0))
& ( point_neighbourhood(esk4_0,esk1_0,esk3_0)
| ~ in(esk3_0,topstr_closure(esk1_0,esk2_0)) )
& ( disjoint(esk4_0,esk2_0)
| ~ in(esk3_0,topstr_closure(esk1_0,esk2_0)) )
& ( in(esk3_0,topstr_closure(esk1_0,esk2_0))
| ~ point_neighbourhood(X9,esk1_0,esk3_0)
| ~ disjoint(X9,esk2_0) ) ),
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_1])])])])]) ).
cnf(c_0_3_155,negated_conjecture,
( in(esk3_0,topstr_closure(esk1_0,esk2_0))
| ~ disjoint(X1,esk2_0)
| ~ point_neighbourhood(X1,esk1_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_156,negated_conjecture,
( point_neighbourhood(esk4_0,esk1_0,esk3_0)
| ~ in(esk3_0,topstr_closure(esk1_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_157,negated_conjecture,
( disjoint(esk4_0,esk2_0)
| ~ in(esk3_0,topstr_closure(esk1_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_158,negated_conjecture,
element(esk2_0,powerset(the_carrier(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7_159,negated_conjecture,
element(esk3_0,the_carrier(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8_160,negated_conjecture,
~ empty_carrier(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9_161,negated_conjecture,
topological_space(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_10_162,negated_conjecture,
top_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_11_163,negated_conjecture,
( in(esk3_0,topstr_closure(esk1_0,esk2_0))
| ~ disjoint(X1,esk2_0)
| ~ point_neighbourhood(X1,esk1_0,esk3_0) ),
c_0_3,
[final] ).
cnf(c_0_12_164,negated_conjecture,
( point_neighbourhood(esk4_0,esk1_0,esk3_0)
| ~ in(esk3_0,topstr_closure(esk1_0,esk2_0)) ),
c_0_4,
[final] ).
cnf(c_0_13_165,negated_conjecture,
( disjoint(esk4_0,esk2_0)
| ~ in(esk3_0,topstr_closure(esk1_0,esk2_0)) ),
c_0_5,
[final] ).
cnf(c_0_14_166,negated_conjecture,
element(esk2_0,powerset(the_carrier(esk1_0))),
c_0_6,
[final] ).
cnf(c_0_15_167,negated_conjecture,
element(esk3_0,the_carrier(esk1_0)),
c_0_7,
[final] ).
cnf(c_0_16_168,negated_conjecture,
~ empty_carrier(esk1_0),
c_0_8,
[final] ).
cnf(c_0_17_169,negated_conjecture,
topological_space(esk1_0),
c_0_9,
[final] ).
cnf(c_0_18_170,negated_conjecture,
top_str(esk1_0),
c_0_10,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_131,negated_conjecture,
( in(sk3_esk3_0,topstr_closure(sk3_esk1_0,sk3_esk2_0))
| ~ point_neighbourhood(X0,sk3_esk1_0,sk3_esk3_0)
| ~ disjoint(X0,sk3_esk2_0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_00bf70.p',c_0_11) ).
cnf(c_179,negated_conjecture,
( in(sk3_esk3_0,topstr_closure(sk3_esk1_0,sk3_esk2_0))
| ~ point_neighbourhood(X0,sk3_esk1_0,sk3_esk3_0)
| ~ disjoint(X0,sk3_esk2_0) ),
inference(copy,[status(esa)],[c_131]) ).
cnf(c_211,negated_conjecture,
( in(sk3_esk3_0,topstr_closure(sk3_esk1_0,sk3_esk2_0))
| ~ point_neighbourhood(X0,sk3_esk1_0,sk3_esk3_0)
| ~ disjoint(X0,sk3_esk2_0) ),
inference(copy,[status(esa)],[c_179]) ).
cnf(c_226,negated_conjecture,
( in(sk3_esk3_0,topstr_closure(sk3_esk1_0,sk3_esk2_0))
| ~ point_neighbourhood(X0,sk3_esk1_0,sk3_esk3_0)
| ~ disjoint(X0,sk3_esk2_0) ),
inference(copy,[status(esa)],[c_211]) ).
cnf(c_232,negated_conjecture,
( in(sk3_esk3_0,topstr_closure(sk3_esk1_0,sk3_esk2_0))
| ~ point_neighbourhood(X0,sk3_esk1_0,sk3_esk3_0)
| ~ disjoint(X0,sk3_esk2_0) ),
inference(copy,[status(esa)],[c_226]) ).
cnf(c_289252,negated_conjecture,
( in(sk3_esk3_0,topstr_closure(sk3_esk1_0,sk3_esk2_0))
| ~ point_neighbourhood(X0,sk3_esk1_0,sk3_esk3_0)
| ~ disjoint(X0,sk3_esk2_0) ),
inference(copy,[status(esa)],[c_232]) ).
cnf(c_373449,plain,
( in(sk3_esk3_0,topstr_closure(sk3_esk1_0,sk3_esk2_0))
| ~ point_neighbourhood(sk1_esk1_4(sk3_esk1_0,sk3_esk2_0,topstr_closure(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0),sk3_esk1_0,sk3_esk3_0)
| ~ disjoint(sk1_esk1_4(sk3_esk1_0,sk3_esk2_0,topstr_closure(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0),sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_289252]) ).
cnf(c_121,plain,
( ~ in(X0,X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ open_subset(X2,X3)
| ~ in(X0,X2)
| ~ disjoint(X4,X2)
| ~ in(X0,the_carrier(X3))
| X1 != topstr_closure(X3,X4)
| ~ element(X1,powerset(the_carrier(X3)))
| ~ element(X4,powerset(the_carrier(X3)))
| ~ top_str(X3) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_00bf70.p',c_0_140_0) ).
cnf(c_289237,plain,
( ~ in(X0,X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ open_subset(X2,X3)
| ~ in(X0,X2)
| ~ disjoint(X4,X2)
| ~ in(X0,the_carrier(X3))
| X1 != topstr_closure(X3,X4)
| ~ element(X1,powerset(the_carrier(X3)))
| ~ element(X4,powerset(the_carrier(X3)))
| ~ top_str(X3) ),
inference(copy,[status(esa)],[c_121]) ).
cnf(c_289341,plain,
( ~ in(sk3_esk3_0,the_carrier(X0))
| ~ in(sk3_esk3_0,topstr_closure(sk3_esk1_0,sk3_esk2_0))
| ~ in(sk3_esk3_0,X1)
| ~ top_str(X0)
| ~ element(topstr_closure(sk3_esk1_0,sk3_esk2_0),powerset(the_carrier(X0)))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ element(X2,powerset(the_carrier(X0)))
| ~ open_subset(X1,X0)
| ~ disjoint(X2,X1)
| topstr_closure(sk3_esk1_0,sk3_esk2_0) != topstr_closure(X0,X2) ),
inference(instantiation,[status(thm)],[c_289237]) ).
cnf(c_289411,plain,
( ~ in(sk3_esk3_0,interior(X0,X1))
| ~ in(sk3_esk3_0,the_carrier(X0))
| ~ in(sk3_esk3_0,topstr_closure(sk3_esk1_0,sk3_esk2_0))
| ~ top_str(X0)
| ~ element(interior(X0,X1),powerset(the_carrier(X0)))
| ~ element(topstr_closure(sk3_esk1_0,sk3_esk2_0),powerset(the_carrier(X0)))
| ~ element(X2,powerset(the_carrier(X0)))
| ~ open_subset(interior(X0,X1),X0)
| ~ disjoint(X2,interior(X0,X1))
| topstr_closure(sk3_esk1_0,sk3_esk2_0) != topstr_closure(X0,X2) ),
inference(instantiation,[status(thm)],[c_289341]) ).
cnf(c_289784,plain,
( ~ in(sk3_esk3_0,interior(sk3_esk1_0,sk3_esk4_0))
| ~ in(sk3_esk3_0,the_carrier(sk3_esk1_0))
| ~ in(sk3_esk3_0,topstr_closure(sk3_esk1_0,sk3_esk2_0))
| ~ top_str(sk3_esk1_0)
| ~ element(interior(sk3_esk1_0,sk3_esk4_0),powerset(the_carrier(sk3_esk1_0)))
| ~ element(topstr_closure(sk3_esk1_0,sk3_esk2_0),powerset(the_carrier(sk3_esk1_0)))
| ~ element(X0,powerset(the_carrier(sk3_esk1_0)))
| ~ open_subset(interior(sk3_esk1_0,sk3_esk4_0),sk3_esk1_0)
| ~ disjoint(X0,interior(sk3_esk1_0,sk3_esk4_0))
| topstr_closure(sk3_esk1_0,sk3_esk2_0) != topstr_closure(sk3_esk1_0,X0) ),
inference(instantiation,[status(thm)],[c_289411]) ).
cnf(c_290028,plain,
( ~ in(sk3_esk3_0,interior(sk3_esk1_0,sk3_esk4_0))
| ~ in(sk3_esk3_0,the_carrier(sk3_esk1_0))
| ~ in(sk3_esk3_0,topstr_closure(sk3_esk1_0,sk3_esk2_0))
| ~ top_str(sk3_esk1_0)
| ~ element(interior(sk3_esk1_0,sk3_esk4_0),powerset(the_carrier(sk3_esk1_0)))
| ~ element(topstr_closure(sk3_esk1_0,sk3_esk2_0),powerset(the_carrier(sk3_esk1_0)))
| ~ element(sk3_esk2_0,powerset(the_carrier(sk3_esk1_0)))
| ~ open_subset(interior(sk3_esk1_0,sk3_esk4_0),sk3_esk1_0)
| ~ disjoint(sk3_esk2_0,interior(sk3_esk1_0,sk3_esk4_0))
| topstr_closure(sk3_esk1_0,sk3_esk2_0) != topstr_closure(sk3_esk1_0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_289784]) ).
cnf(c_290289,plain,
( ~ in(sk3_esk3_0,interior(sk3_esk1_0,sk3_esk4_0))
| ~ in(sk3_esk3_0,the_carrier(sk3_esk1_0))
| ~ in(sk3_esk3_0,topstr_closure(sk3_esk1_0,sk3_esk2_0))
| ~ top_str(sk3_esk1_0)
| ~ element(interior(sk3_esk1_0,sk3_esk4_0),powerset(the_carrier(sk3_esk1_0)))
| ~ element(topstr_closure(sk3_esk1_0,sk3_esk2_0),powerset(the_carrier(sk3_esk1_0)))
| ~ element(sk3_esk2_0,powerset(the_carrier(sk3_esk1_0)))
| ~ open_subset(interior(sk3_esk1_0,sk3_esk4_0),sk3_esk1_0)
| ~ disjoint(sk3_esk2_0,interior(sk3_esk1_0,sk3_esk4_0)) ),
inference(equality_resolution_simp,[status(esa)],[c_290028]) ).
cnf(c_117,plain,
( ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| element(interior(X0,X1),powerset(the_carrier(X0))) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_00bf70.p',c_0_144_0) ).
cnf(c_352,plain,
( ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| element(interior(X0,X1),powerset(the_carrier(X0))) ),
inference(copy,[status(esa)],[c_117]) ).
cnf(c_181399,plain,
( ~ top_str(sk3_esk1_0)
| element(interior(sk3_esk1_0,X0),powerset(the_carrier(sk3_esk1_0)))
| ~ element(X0,powerset(the_carrier(sk3_esk1_0))) ),
inference(instantiation,[status(thm)],[c_352]) ).
cnf(c_244100,plain,
( ~ top_str(sk3_esk1_0)
| element(interior(sk3_esk1_0,sk3_esk4_0),powerset(the_carrier(sk3_esk1_0)))
| ~ element(sk3_esk4_0,powerset(the_carrier(sk3_esk1_0))) ),
inference(instantiation,[status(thm)],[c_181399]) ).
cnf(c_108,plain,
( disjoint(X0,X1)
| ~ disjoint(X1,X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_00bf70.p',c_0_153_0) ).
cnf(c_343,plain,
( disjoint(X0,X1)
| ~ disjoint(X1,X0) ),
inference(copy,[status(esa)],[c_108]) ).
cnf(c_243946,plain,
( ~ disjoint(interior(X0,sk3_esk4_0),sk3_esk2_0)
| disjoint(sk3_esk2_0,interior(X0,sk3_esk4_0)) ),
inference(instantiation,[status(thm)],[c_343]) ).
cnf(c_243947,plain,
( ~ disjoint(interior(sk3_esk1_0,sk3_esk4_0),sk3_esk2_0)
| disjoint(sk3_esk2_0,interior(sk3_esk1_0,sk3_esk4_0)) ),
inference(instantiation,[status(thm)],[c_243946]) ).
cnf(c_36,plain,
( open_subset(interior(X0,X1),X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_00bf70.p',c_0_115_3) ).
cnf(c_271,plain,
( open_subset(interior(X0,X1),X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(copy,[status(esa)],[c_36]) ).
cnf(c_226424,plain,
( ~ top_str(sk3_esk1_0)
| ~ topological_space(sk3_esk1_0)
| ~ element(sk3_esk4_0,powerset(the_carrier(sk3_esk1_0)))
| open_subset(interior(sk3_esk1_0,sk3_esk4_0),sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_271]) ).
cnf(c_16,plain,
( ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ element(X2,the_carrier(X0))
| ~ open_subset(X1,X0)
| point_neighbourhood(X1,X0,X2)
| empty_carrier(X0)
| ~ in(X2,X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_00bf70.p',c_0_112_2) ).
cnf(c_251,plain,
( ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ element(X2,the_carrier(X0))
| ~ open_subset(X1,X0)
| point_neighbourhood(X1,X0,X2)
| empty_carrier(X0)
| ~ in(X2,X1) ),
inference(copy,[status(esa)],[c_16]) ).
cnf(c_50484,plain,
( empty_carrier(sk3_esk1_0)
| ~ in(X0,sk1_esk1_4(sk3_esk1_0,sk3_esk2_0,topstr_closure(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))
| ~ top_str(sk3_esk1_0)
| ~ topological_space(sk3_esk1_0)
| ~ element(sk1_esk1_4(sk3_esk1_0,sk3_esk2_0,topstr_closure(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0),powerset(the_carrier(sk3_esk1_0)))
| ~ element(X0,the_carrier(sk3_esk1_0))
| point_neighbourhood(sk1_esk1_4(sk3_esk1_0,sk3_esk2_0,topstr_closure(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0),sk3_esk1_0,X0)
| ~ open_subset(sk1_esk1_4(sk3_esk1_0,sk3_esk2_0,topstr_closure(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0),sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_251]) ).
cnf(c_222794,plain,
( empty_carrier(sk3_esk1_0)
| ~ in(sk3_esk3_0,sk1_esk1_4(sk3_esk1_0,sk3_esk2_0,topstr_closure(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))
| ~ top_str(sk3_esk1_0)
| ~ topological_space(sk3_esk1_0)
| ~ element(sk1_esk1_4(sk3_esk1_0,sk3_esk2_0,topstr_closure(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0),powerset(the_carrier(sk3_esk1_0)))
| ~ element(sk3_esk3_0,the_carrier(sk3_esk1_0))
| point_neighbourhood(sk1_esk1_4(sk3_esk1_0,sk3_esk2_0,topstr_closure(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0),sk3_esk1_0,sk3_esk3_0)
| ~ open_subset(sk1_esk1_4(sk3_esk1_0,sk3_esk2_0,topstr_closure(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0),sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_50484]) ).
cnf(c_181773,plain,
( disjoint(sk1_esk1_4(sk3_esk1_0,sk3_esk2_0,topstr_closure(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0),sk3_esk2_0)
| ~ disjoint(sk3_esk2_0,sk1_esk1_4(sk3_esk1_0,sk3_esk2_0,topstr_closure(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0)) ),
inference(instantiation,[status(thm)],[c_343]) ).
cnf(c_127,plain,
( ~ in(X0,the_carrier(X1))
| X2 != topstr_closure(X1,X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| disjoint(X3,sk1_esk1_4(X1,X3,X2,X0))
| in(X0,X2)
| ~ top_str(X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_00bf70.p',c_0_134_0) ).
cnf(c_362,plain,
( ~ in(X0,the_carrier(X1))
| X2 != topstr_closure(X1,X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| disjoint(X3,sk1_esk1_4(X1,X3,X2,X0))
| in(X0,X2)
| ~ top_str(X1) ),
inference(copy,[status(esa)],[c_127]) ).
cnf(c_21013,plain,
( ~ in(sk3_esk3_0,the_carrier(sk3_esk1_0))
| in(sk3_esk3_0,X0)
| ~ top_str(sk3_esk1_0)
| ~ element(X0,powerset(the_carrier(sk3_esk1_0)))
| ~ element(X1,powerset(the_carrier(sk3_esk1_0)))
| disjoint(X1,sk1_esk1_4(sk3_esk1_0,X1,X0,sk3_esk3_0))
| X0 != topstr_closure(sk3_esk1_0,X1) ),
inference(instantiation,[status(thm)],[c_362]) ).
cnf(c_48813,plain,
( ~ in(sk3_esk3_0,the_carrier(sk3_esk1_0))
| in(sk3_esk3_0,topstr_closure(sk3_esk1_0,sk3_esk2_0))
| ~ top_str(sk3_esk1_0)
| ~ element(topstr_closure(sk3_esk1_0,sk3_esk2_0),powerset(the_carrier(sk3_esk1_0)))
| ~ element(X0,powerset(the_carrier(sk3_esk1_0)))
| disjoint(X0,sk1_esk1_4(sk3_esk1_0,X0,topstr_closure(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))
| topstr_closure(sk3_esk1_0,sk3_esk2_0) != topstr_closure(sk3_esk1_0,X0) ),
inference(instantiation,[status(thm)],[c_21013]) ).
cnf(c_74159,plain,
( ~ in(sk3_esk3_0,the_carrier(sk3_esk1_0))
| in(sk3_esk3_0,topstr_closure(sk3_esk1_0,sk3_esk2_0))
| ~ top_str(sk3_esk1_0)
| ~ element(topstr_closure(sk3_esk1_0,sk3_esk2_0),powerset(the_carrier(sk3_esk1_0)))
| ~ element(sk3_esk2_0,powerset(the_carrier(sk3_esk1_0)))
| disjoint(sk3_esk2_0,sk1_esk1_4(sk3_esk1_0,sk3_esk2_0,topstr_closure(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))
| topstr_closure(sk3_esk1_0,sk3_esk2_0) != topstr_closure(sk3_esk1_0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_48813]) ).
cnf(c_119520,plain,
( ~ in(sk3_esk3_0,the_carrier(sk3_esk1_0))
| in(sk3_esk3_0,topstr_closure(sk3_esk1_0,sk3_esk2_0))
| ~ top_str(sk3_esk1_0)
| ~ element(topstr_closure(sk3_esk1_0,sk3_esk2_0),powerset(the_carrier(sk3_esk1_0)))
| ~ element(sk3_esk2_0,powerset(the_carrier(sk3_esk1_0)))
| disjoint(sk3_esk2_0,sk1_esk1_4(sk3_esk1_0,sk3_esk2_0,topstr_closure(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0)) ),
inference(equality_resolution_simp,[status(esa)],[c_74159]) ).
cnf(c_128,plain,
( ~ in(X0,the_carrier(X1))
| X2 != topstr_closure(X1,X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| in(X0,sk1_esk1_4(X1,X3,X2,X0))
| in(X0,X2)
| ~ top_str(X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_00bf70.p',c_0_133_0) ).
cnf(c_363,plain,
( ~ in(X0,the_carrier(X1))
| X2 != topstr_closure(X1,X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| in(X0,sk1_esk1_4(X1,X3,X2,X0))
| in(X0,X2)
| ~ top_str(X1) ),
inference(copy,[status(esa)],[c_128]) ).
cnf(c_21012,plain,
( ~ in(sk3_esk3_0,the_carrier(sk3_esk1_0))
| in(sk3_esk3_0,sk1_esk1_4(sk3_esk1_0,X0,X1,sk3_esk3_0))
| in(sk3_esk3_0,X1)
| ~ top_str(sk3_esk1_0)
| ~ element(X1,powerset(the_carrier(sk3_esk1_0)))
| ~ element(X0,powerset(the_carrier(sk3_esk1_0)))
| X1 != topstr_closure(sk3_esk1_0,X0) ),
inference(instantiation,[status(thm)],[c_363]) ).
cnf(c_22108,plain,
( ~ in(sk3_esk3_0,the_carrier(sk3_esk1_0))
| in(sk3_esk3_0,topstr_closure(sk3_esk1_0,sk3_esk2_0))
| in(sk3_esk3_0,sk1_esk1_4(sk3_esk1_0,X0,topstr_closure(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))
| ~ top_str(sk3_esk1_0)
| ~ element(topstr_closure(sk3_esk1_0,sk3_esk2_0),powerset(the_carrier(sk3_esk1_0)))
| ~ element(X0,powerset(the_carrier(sk3_esk1_0)))
| topstr_closure(sk3_esk1_0,sk3_esk2_0) != topstr_closure(sk3_esk1_0,X0) ),
inference(instantiation,[status(thm)],[c_21012]) ).
cnf(c_74095,plain,
( ~ in(sk3_esk3_0,the_carrier(sk3_esk1_0))
| in(sk3_esk3_0,topstr_closure(sk3_esk1_0,sk3_esk2_0))
| in(sk3_esk3_0,sk1_esk1_4(sk3_esk1_0,sk3_esk2_0,topstr_closure(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))
| ~ top_str(sk3_esk1_0)
| ~ element(topstr_closure(sk3_esk1_0,sk3_esk2_0),powerset(the_carrier(sk3_esk1_0)))
| ~ element(sk3_esk2_0,powerset(the_carrier(sk3_esk1_0)))
| topstr_closure(sk3_esk1_0,sk3_esk2_0) != topstr_closure(sk3_esk1_0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_22108]) ).
cnf(c_119519,plain,
( ~ in(sk3_esk3_0,the_carrier(sk3_esk1_0))
| in(sk3_esk3_0,topstr_closure(sk3_esk1_0,sk3_esk2_0))
| in(sk3_esk3_0,sk1_esk1_4(sk3_esk1_0,sk3_esk2_0,topstr_closure(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))
| ~ top_str(sk3_esk1_0)
| ~ element(topstr_closure(sk3_esk1_0,sk3_esk2_0),powerset(the_carrier(sk3_esk1_0)))
| ~ element(sk3_esk2_0,powerset(the_carrier(sk3_esk1_0))) ),
inference(equality_resolution_simp,[status(esa)],[c_74095]) ).
cnf(c_119,plain,
( ~ element(X0,powerset(the_carrier(X1)))
| subset(interior(X1,X0),X0)
| ~ top_str(X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_00bf70.p',c_0_142_0) ).
cnf(c_354,plain,
( ~ element(X0,powerset(the_carrier(X1)))
| subset(interior(X1,X0),X0)
| ~ top_str(X1) ),
inference(copy,[status(esa)],[c_119]) ).
cnf(c_118877,plain,
( ~ top_str(X0)
| ~ element(sk3_esk4_0,powerset(the_carrier(X0)))
| subset(interior(X0,sk3_esk4_0),sk3_esk4_0) ),
inference(instantiation,[status(thm)],[c_354]) ).
cnf(c_118879,plain,
( ~ top_str(sk3_esk1_0)
| ~ element(sk3_esk4_0,powerset(the_carrier(sk3_esk1_0)))
| subset(interior(sk3_esk1_0,sk3_esk4_0),sk3_esk4_0) ),
inference(instantiation,[status(thm)],[c_118877]) ).
cnf(c_115,plain,
( ~ subset(X0,X1)
| ~ disjoint(X1,X2)
| disjoint(X0,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_00bf70.p',c_0_146_0) ).
cnf(c_350,plain,
( ~ subset(X0,X1)
| ~ disjoint(X1,X2)
| disjoint(X0,X2) ),
inference(copy,[status(esa)],[c_115]) ).
cnf(c_49336,plain,
( ~ subset(X0,sk3_esk4_0)
| ~ disjoint(sk3_esk4_0,sk3_esk2_0)
| disjoint(X0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_350]) ).
cnf(c_118876,plain,
( ~ subset(interior(X0,sk3_esk4_0),sk3_esk4_0)
| disjoint(interior(X0,sk3_esk4_0),sk3_esk2_0)
| ~ disjoint(sk3_esk4_0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_49336]) ).
cnf(c_118878,plain,
( ~ subset(interior(sk3_esk1_0,sk3_esk4_0),sk3_esk4_0)
| disjoint(interior(sk3_esk1_0,sk3_esk4_0),sk3_esk2_0)
| ~ disjoint(sk3_esk4_0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_118876]) ).
cnf(c_129,plain,
( ~ in(X0,the_carrier(X1))
| X2 != topstr_closure(X1,X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| open_subset(sk1_esk1_4(X1,X3,X2,X0),X1)
| in(X0,X2)
| ~ top_str(X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_00bf70.p',c_0_132_0) ).
cnf(c_364,plain,
( ~ in(X0,the_carrier(X1))
| X2 != topstr_closure(X1,X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| open_subset(sk1_esk1_4(X1,X3,X2,X0),X1)
| in(X0,X2)
| ~ top_str(X1) ),
inference(copy,[status(esa)],[c_129]) ).
cnf(c_21011,plain,
( ~ in(sk3_esk3_0,the_carrier(sk3_esk1_0))
| in(sk3_esk3_0,X0)
| ~ top_str(sk3_esk1_0)
| ~ element(X0,powerset(the_carrier(sk3_esk1_0)))
| ~ element(X1,powerset(the_carrier(sk3_esk1_0)))
| open_subset(sk1_esk1_4(sk3_esk1_0,X1,X0,sk3_esk3_0),sk3_esk1_0)
| X0 != topstr_closure(sk3_esk1_0,X1) ),
inference(instantiation,[status(thm)],[c_364]) ).
cnf(c_22067,plain,
( ~ in(sk3_esk3_0,the_carrier(sk3_esk1_0))
| in(sk3_esk3_0,topstr_closure(sk3_esk1_0,sk3_esk2_0))
| ~ top_str(sk3_esk1_0)
| ~ element(topstr_closure(sk3_esk1_0,sk3_esk2_0),powerset(the_carrier(sk3_esk1_0)))
| ~ element(X0,powerset(the_carrier(sk3_esk1_0)))
| open_subset(sk1_esk1_4(sk3_esk1_0,X0,topstr_closure(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0),sk3_esk1_0)
| topstr_closure(sk3_esk1_0,sk3_esk2_0) != topstr_closure(sk3_esk1_0,X0) ),
inference(instantiation,[status(thm)],[c_21011]) ).
cnf(c_48779,plain,
( ~ in(sk3_esk3_0,the_carrier(sk3_esk1_0))
| in(sk3_esk3_0,topstr_closure(sk3_esk1_0,sk3_esk2_0))
| ~ top_str(sk3_esk1_0)
| ~ element(topstr_closure(sk3_esk1_0,sk3_esk2_0),powerset(the_carrier(sk3_esk1_0)))
| ~ element(sk3_esk2_0,powerset(the_carrier(sk3_esk1_0)))
| open_subset(sk1_esk1_4(sk3_esk1_0,sk3_esk2_0,topstr_closure(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0),sk3_esk1_0)
| topstr_closure(sk3_esk1_0,sk3_esk2_0) != topstr_closure(sk3_esk1_0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_22067]) ).
cnf(c_49339,plain,
( ~ in(sk3_esk3_0,the_carrier(sk3_esk1_0))
| in(sk3_esk3_0,topstr_closure(sk3_esk1_0,sk3_esk2_0))
| ~ top_str(sk3_esk1_0)
| ~ element(topstr_closure(sk3_esk1_0,sk3_esk2_0),powerset(the_carrier(sk3_esk1_0)))
| ~ element(sk3_esk2_0,powerset(the_carrier(sk3_esk1_0)))
| open_subset(sk1_esk1_4(sk3_esk1_0,sk3_esk2_0,topstr_closure(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0),sk3_esk1_0) ),
inference(equality_resolution_simp,[status(esa)],[c_48779]) ).
cnf(c_0,plain,
( ~ point_neighbourhood(X0,X1,X2)
| ~ element(X0,powerset(the_carrier(X1)))
| ~ element(X2,the_carrier(X1))
| ~ topological_space(X1)
| ~ top_str(X1)
| in(X2,interior(X1,X0))
| empty_carrier(X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_00bf70.p',c_0_110_0) ).
cnf(c_235,plain,
( ~ point_neighbourhood(X0,X1,X2)
| ~ element(X0,powerset(the_carrier(X1)))
| ~ element(X2,the_carrier(X1))
| ~ topological_space(X1)
| ~ top_str(X1)
| in(X2,interior(X1,X0))
| empty_carrier(X1) ),
inference(copy,[status(esa)],[c_0]) ).
cnf(c_20897,plain,
( empty_carrier(sk3_esk1_0)
| in(sk3_esk3_0,interior(sk3_esk1_0,X0))
| ~ top_str(sk3_esk1_0)
| ~ topological_space(sk3_esk1_0)
| ~ element(sk3_esk3_0,the_carrier(sk3_esk1_0))
| ~ element(X0,powerset(the_carrier(sk3_esk1_0)))
| ~ point_neighbourhood(X0,sk3_esk1_0,sk3_esk3_0) ),
inference(instantiation,[status(thm)],[c_235]) ).
cnf(c_49333,plain,
( empty_carrier(sk3_esk1_0)
| in(sk3_esk3_0,interior(sk3_esk1_0,sk3_esk4_0))
| ~ top_str(sk3_esk1_0)
| ~ topological_space(sk3_esk1_0)
| ~ element(sk3_esk3_0,the_carrier(sk3_esk1_0))
| ~ element(sk3_esk4_0,powerset(the_carrier(sk3_esk1_0)))
| ~ point_neighbourhood(sk3_esk4_0,sk3_esk1_0,sk3_esk3_0) ),
inference(instantiation,[status(thm)],[c_20897]) ).
cnf(c_22,plain,
( ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ point_neighbourhood(X2,X0,X1)
| empty_carrier(X0)
| element(X2,powerset(the_carrier(X0))) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_00bf70.p',c_0_113_0) ).
cnf(c_257,plain,
( ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ point_neighbourhood(X2,X0,X1)
| empty_carrier(X0)
| element(X2,powerset(the_carrier(X0))) ),
inference(copy,[status(esa)],[c_22]) ).
cnf(c_20873,plain,
( empty_carrier(sk3_esk1_0)
| ~ top_str(sk3_esk1_0)
| ~ topological_space(sk3_esk1_0)
| ~ element(sk3_esk3_0,the_carrier(sk3_esk1_0))
| element(X0,powerset(the_carrier(sk3_esk1_0)))
| ~ point_neighbourhood(X0,sk3_esk1_0,sk3_esk3_0) ),
inference(instantiation,[status(thm)],[c_257]) ).
cnf(c_49334,plain,
( empty_carrier(sk3_esk1_0)
| ~ top_str(sk3_esk1_0)
| ~ topological_space(sk3_esk1_0)
| ~ element(sk3_esk3_0,the_carrier(sk3_esk1_0))
| element(sk3_esk4_0,powerset(the_carrier(sk3_esk1_0)))
| ~ point_neighbourhood(sk3_esk4_0,sk3_esk1_0,sk3_esk3_0) ),
inference(instantiation,[status(thm)],[c_20873]) ).
cnf(c_130,plain,
( ~ in(X0,the_carrier(X1))
| X2 != topstr_closure(X1,X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| element(sk1_esk1_4(X1,X3,X2,X0),powerset(the_carrier(X1)))
| in(X0,X2)
| ~ top_str(X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_00bf70.p',c_0_131_0) ).
cnf(c_365,plain,
( ~ in(X0,the_carrier(X1))
| X2 != topstr_closure(X1,X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| element(sk1_esk1_4(X1,X3,X2,X0),powerset(the_carrier(X1)))
| in(X0,X2)
| ~ top_str(X1) ),
inference(copy,[status(esa)],[c_130]) ).
cnf(c_21010,plain,
( ~ in(sk3_esk3_0,the_carrier(sk3_esk1_0))
| in(sk3_esk3_0,X0)
| ~ top_str(sk3_esk1_0)
| element(sk1_esk1_4(sk3_esk1_0,X1,X0,sk3_esk3_0),powerset(the_carrier(sk3_esk1_0)))
| ~ element(X0,powerset(the_carrier(sk3_esk1_0)))
| ~ element(X1,powerset(the_carrier(sk3_esk1_0)))
| X0 != topstr_closure(sk3_esk1_0,X1) ),
inference(instantiation,[status(thm)],[c_365]) ).
cnf(c_22036,plain,
( ~ in(sk3_esk3_0,the_carrier(sk3_esk1_0))
| in(sk3_esk3_0,topstr_closure(sk3_esk1_0,sk3_esk2_0))
| ~ top_str(sk3_esk1_0)
| ~ element(topstr_closure(sk3_esk1_0,sk3_esk2_0),powerset(the_carrier(sk3_esk1_0)))
| element(sk1_esk1_4(sk3_esk1_0,X0,topstr_closure(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0),powerset(the_carrier(sk3_esk1_0)))
| ~ element(X0,powerset(the_carrier(sk3_esk1_0)))
| topstr_closure(sk3_esk1_0,sk3_esk2_0) != topstr_closure(sk3_esk1_0,X0) ),
inference(instantiation,[status(thm)],[c_21010]) ).
cnf(c_48741,plain,
( ~ in(sk3_esk3_0,the_carrier(sk3_esk1_0))
| in(sk3_esk3_0,topstr_closure(sk3_esk1_0,sk3_esk2_0))
| ~ top_str(sk3_esk1_0)
| ~ element(topstr_closure(sk3_esk1_0,sk3_esk2_0),powerset(the_carrier(sk3_esk1_0)))
| element(sk1_esk1_4(sk3_esk1_0,sk3_esk2_0,topstr_closure(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0),powerset(the_carrier(sk3_esk1_0)))
| ~ element(sk3_esk2_0,powerset(the_carrier(sk3_esk1_0)))
| topstr_closure(sk3_esk1_0,sk3_esk2_0) != topstr_closure(sk3_esk1_0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_22036]) ).
cnf(c_49314,plain,
( ~ in(sk3_esk3_0,the_carrier(sk3_esk1_0))
| in(sk3_esk3_0,topstr_closure(sk3_esk1_0,sk3_esk2_0))
| ~ top_str(sk3_esk1_0)
| ~ element(topstr_closure(sk3_esk1_0,sk3_esk2_0),powerset(the_carrier(sk3_esk1_0)))
| element(sk1_esk1_4(sk3_esk1_0,sk3_esk2_0,topstr_closure(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0),powerset(the_carrier(sk3_esk1_0)))
| ~ element(sk3_esk2_0,powerset(the_carrier(sk3_esk1_0))) ),
inference(equality_resolution_simp,[status(esa)],[c_48741]) ).
cnf(c_118,plain,
( ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| element(topstr_closure(X0,X1),powerset(the_carrier(X0))) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_00bf70.p',c_0_143_0) ).
cnf(c_353,plain,
( ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| element(topstr_closure(X0,X1),powerset(the_carrier(X0))) ),
inference(copy,[status(esa)],[c_118]) ).
cnf(c_20823,plain,
( ~ top_str(sk3_esk1_0)
| element(topstr_closure(sk3_esk1_0,sk3_esk2_0),powerset(the_carrier(sk3_esk1_0)))
| ~ element(sk3_esk2_0,powerset(the_carrier(sk3_esk1_0))) ),
inference(instantiation,[status(thm)],[c_353]) ).
cnf(c_112,plain,
( empty(X0)
| in(X1,X0)
| ~ element(X1,X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_00bf70.p',c_0_149_0) ).
cnf(c_347,plain,
( empty(X0)
| in(X1,X0)
| ~ element(X1,X0) ),
inference(copy,[status(esa)],[c_112]) ).
cnf(c_20797,plain,
( in(sk3_esk3_0,the_carrier(sk3_esk1_0))
| ~ element(sk3_esk3_0,the_carrier(sk3_esk1_0))
| empty(the_carrier(sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_347]) ).
cnf(c_105,plain,
( one_sorted_str(X0)
| ~ top_str(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_00bf70.p',c_0_156_0) ).
cnf(c_161,plain,
( ~ top_str(sk3_esk1_0)
| one_sorted_str(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_106,plain,
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_00bf70.p',c_0_155_0) ).
cnf(c_160,plain,
( empty_carrier(sk3_esk1_0)
| ~ empty(the_carrier(sk3_esk1_0))
| ~ one_sorted_str(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_106]) ).
cnf(c_132,negated_conjecture,
( ~ in(sk3_esk3_0,topstr_closure(sk3_esk1_0,sk3_esk2_0))
| point_neighbourhood(sk3_esk4_0,sk3_esk1_0,sk3_esk3_0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_00bf70.p',c_0_12) ).
cnf(c_133,negated_conjecture,
( ~ in(sk3_esk3_0,topstr_closure(sk3_esk1_0,sk3_esk2_0))
| disjoint(sk3_esk4_0,sk3_esk2_0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_00bf70.p',c_0_13) ).
cnf(c_134,negated_conjecture,
~ empty_carrier(sk3_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_00bf70.p',c_0_16) ).
cnf(c_135,negated_conjecture,
element(sk3_esk2_0,powerset(the_carrier(sk3_esk1_0))),
file('/export/starexec/sandbox2/tmp/iprover_modulo_00bf70.p',c_0_14) ).
cnf(c_136,negated_conjecture,
element(sk3_esk3_0,the_carrier(sk3_esk1_0)),
file('/export/starexec/sandbox2/tmp/iprover_modulo_00bf70.p',c_0_15) ).
cnf(c_137,negated_conjecture,
topological_space(sk3_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_00bf70.p',c_0_17) ).
cnf(c_138,negated_conjecture,
top_str(sk3_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_00bf70.p',c_0_18) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_373449,c_290289,c_244100,c_243947,c_226424,c_222794,c_181773,c_119520,c_119519,c_118879,c_118878,c_49339,c_49333,c_49334,c_49314,c_20823,c_20797,c_161,c_160,c_132,c_133,c_134,c_135,c_136,c_137,c_138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU372+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : iprover_modulo %s %d
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 19 06:40:58 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % Running in mono-core mode
% 0.19/0.40 % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.40 % FOF problem with conjecture
% 0.19/0.40 % 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_dcafb1.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_00bf70.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_e2f7c5 | 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
% 0.19/0.43 % --splitting_nvd 16
% 0.19/0.43 % --non_eq_to_eq false
% 0.19/0.43 % --prep_gs_sim true
% 0.19/0.43 % --prep_unflatten false
% 0.19/0.43 % --prep_res_sim true
% 0.19/0.43 % --prep_upred true
% 0.19/0.43 % --res_sim_input true
% 0.19/0.43 % --clause_weak_htbl true
% 0.19/0.43 % --gc_record_bc_elim false
% 0.19/0.43 % --symbol_type_check false
% 0.19/0.43 % --clausify_out false
% 0.19/0.43 % --large_theory_mode false
% 0.19/0.43 % --prep_sem_filter none
% 0.19/0.43 % --prep_sem_filter_out false
% 0.19/0.43 % --preprocessed_out false
% 0.19/0.43 % --sub_typing false
% 0.19/0.43 % --brand_transform false
% 0.19/0.43 % --pure_diseq_elim true
% 0.19/0.43 % --min_unsat_core false
% 0.19/0.43 % --pred_elim true
% 0.19/0.43 % --add_important_lit false
% 0.19/0.43 % --soft_assumptions false
% 0.19/0.43 % --reset_solvers false
% 0.19/0.43 % --bc_imp_inh []
% 0.19/0.43 % --conj_cone_tolerance 1.5
% 0.19/0.43 % --prolific_symb_bound 500
% 0.19/0.43 % --lt_threshold 2000
% 0.19/0.43
% 0.19/0.43 % ------ SAT Options
% 0.19/0.43
% 0.19/0.43 % --sat_mode false
% 0.19/0.43 % --sat_fm_restart_options ""
% 0.19/0.43 % --sat_gr_def false
% 0.19/0.43 % --sat_epr_types true
% 0.19/0.43 % --sat_non_cyclic_types false
% 0.19/0.43 % --sat_finite_models false
% 0.19/0.43 % --sat_fm_lemmas false
% 0.19/0.43 % --sat_fm_prep false
% 0.19/0.43 % --sat_fm_uc_incr true
% 0.19/0.43 % --sat_out_model small
% 0.19/0.43 % --sat_out_clauses false
% 0.19/0.43
% 0.19/0.43 % ------ QBF Options
% 0.19/0.43
% 0.19/0.43 % --qbf_mode false
% 0.19/0.43 % --qbf_elim_univ true
% 0.19/0.43 % --qbf_sk_in true
% 0.19/0.43 % --qbf_pred_elim true
% 0.19/0.43 % --qbf_split 32
% 0.19/0.43
% 0.19/0.43 % ------ BMC1 Options
% 0.19/0.43
% 0.19/0.43 % --bmc1_incremental false
% 0.19/0.43 % --bmc1_axioms reachable_all
% 0.19/0.43 % --bmc1_min_bound 0
% 0.19/0.43 % --bmc1_max_bound -1
% 0.19/0.43 % --bmc1_max_bound_default -1
% 0.19/0.43 % --bmc1_symbol_reachability true
% 0.19/0.43 % --bmc1_property_lemmas false
% 0.19/0.43 % --bmc1_k_induction false
% 0.19/0.43 % --bmc1_non_equiv_states false
% 0.19/0.43 % --bmc1_deadlock false
% 0.19/0.43 % --bmc1_ucm false
% 0.19/0.43 % --bmc1_add_unsat_core none
% 0.19/0.43 % --bmc1_unsat_core_children false
% 0.19/0.43 % --bmc1_unsat_core_extrapolate_axioms false
% 0.19/0.43 % --bmc1_out_stat full
% 0.19/0.43 % --bmc1_ground_init false
% 0.19/0.43 % --bmc1_pre_inst_next_state false
% 0.19/0.43 % --bmc1_pre_inst_state false
% 0.19/0.43 % --bmc1_pre_inst_reach_state false
% 0.19/0.43 % --bmc1_out_unsat_core false
% 0.19/0.43 % --bmc1_aig_witness_out false
% 0.19/0.43 % --bmc1_verbose false
% 0.19/0.43 % --bmc1_dump_clauses_tptp false
% 0.19/0.44 % --bmc1_dump_unsat_core_tptp false
% 0.19/0.44 % --bmc1_dump_file -
% 0.19/0.44 % --bmc1_ucm_expand_uc_limit 128
% 0.19/0.44 % --bmc1_ucm_n_expand_iterations 6
% 0.19/0.44 % --bmc1_ucm_extend_mode 1
% 0.19/0.44 % --bmc1_ucm_init_mode 2
% 0.19/0.44 % --bmc1_ucm_cone_mode none
% 0.19/0.44 % --bmc1_ucm_reduced_relation_type 0
% 0.19/0.44 % --bmc1_ucm_relax_model 4
% 0.19/0.44 % --bmc1_ucm_full_tr_after_sat true
% 0.19/0.44 % --bmc1_ucm_expand_neg_assumptions false
% 0.19/0.44 % --bmc1_ucm_layered_model none
% 0.19/0.44 % --bmc1_ucm_max_lemma_size 10
% 0.19/0.44
% 0.19/0.44 % ------ AIG Options
% 0.19/0.44
% 0.19/0.44 % --aig_mode false
% 0.19/0.44
% 0.19/0.44 % ------ Instantiation Options
% 0.19/0.44
% 0.19/0.44 % --instantiation_flag true
% 0.19/0.44 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.44 % --inst_solver_per_active 750
% 0.19/0.44 % --inst_solver_calls_frac 0.5
% 0.19/0.44 % --inst_passive_queue_type priority_queues
% 0.19/0.44 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.44 % --inst_passive_queues_freq [25;2]
% 0.19/0.44 % --inst_dismatching true
% 0.19/0.44 % --inst_eager_unprocessed_to_passive true
% 0.19/0.44 % --inst_prop_sim_given true
% 0.19/0.44 % --inst_prop_sim_new false
% 0.19/0.44 % --inst_orphan_elimination true
% 0.19/0.44 % --inst_learning_loop_flag true
% 0.19/0.44 % --inst_learning_start 3000
% 0.19/0.44 % --inst_learning_factor 2
% 0.19/0.44 % --inst_start_prop_sim_after_learn 3
% 0.19/0.44 % --inst_sel_renew solver
% 0.19/0.44 % --inst_lit_activity_flag true
% 0.19/0.44 % --inst_out_proof true
% 0.19/0.44
% 0.19/0.44 % ------ Resolution Options
% 0.19/0.44
% 0.19/0.44 % --resolution_flag true
% 0.19/0.44 % --res_lit_sel kbo_max
% 0.19/0.44 % --res_to_prop_solver none
% 0.19/0.44 % --res_prop_simpl_new false
% 0.19/0.44 % --res_prop_simpl_given false
% 0.19/0.44 % --res_passive_queue_type priority_queues
% 0.19/0.44 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.19/0.44 % --res_passive_queues_freq [15;5]
% 0.19/0.44 % --res_forward_subs full
% 0.19/0.44 % --res_backward_subs full
% 0.19/0.44 % --res_forward_subs_resolution true
% 0.19/0.44 % --res_backward_subs_resolution true
% 0.19/0.44 % --res_orphan_elimination false
% 0.19/0.44 % --res_time_limit 1000.
% 0.19/0.44 % --res_out_proof true
% 0.19/0.44 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_dcafb1.s
% 0.19/0.44 % --modulo true
% 0.19/0.44
% 0.19/0.44 % ------ Combination Options
% 0.19/0.44
% 0.19/0.44 % --comb_res_mult 1000
% 0.19/0.44 % --comb_inst_mult 300
% 0.19/0.44 % ------
% 0.19/0.44
% 0.19/0.44 % ------ Parsing...% successful
% 0.19/0.44
% 0.19/0.44 % ------ 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 %
% 0.19/0.44
% 0.19/0.44 % ------ Proving...
% 0.19/0.44 % ------ Problem Properties
% 0.19/0.44
% 0.19/0.44 %
% 0.19/0.44 % EPR false
% 0.19/0.44 % Horn false
% 0.19/0.44 % Has equality true
% 0.19/0.44
% 0.19/0.44 % % ------ Input Options Time Limit: Unbounded
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 % % ------ Current options:
% 0.19/0.44
% 0.19/0.44 % ------ Input Options
% 0.19/0.44
% 0.19/0.44 % --out_options all
% 0.19/0.44 % --tptp_safe_out true
% 0.19/0.44 % --problem_path ""
% 0.19/0.44 % --include_path ""
% 0.19/0.44 % --clausifier .//eprover
% 0.19/0.44 % --clausifier_options --tstp-format
% 0.19/0.44 % --stdin false
% 0.19/0.44 % --dbg_backtrace false
% 0.19/0.44 % --dbg_dump_prop_clauses false
% 0.19/0.44 % --dbg_dump_prop_clauses_file -
% 0.19/0.44 % --dbg_out_stat false
% 0.19/0.44
% 0.19/0.44 % ------ General Options
% 0.19/0.44
% 0.19/0.44 % --fof false
% 0.19/0.44 % --time_out_real 150.
% 0.19/0.44 % --time_out_prep_mult 0.2
% 0.19/0.44 % --time_out_virtual -1.
% 0.19/0.44 % --schedule none
% 0.19/0.44 % --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
% 0.19/0.44 % --bmc1_dump_unsat_core_tptp false
% 0.19/0.44 % --bmc1_dump_file -
% 0.19/0.44 % --bmc1_ucm_expand_uc_limit 128
% 0.19/0.44 % --bmc1_ucm_n_expand_iterations 6
% 0.19/0.44 % --bmc1_ucm_extend_mode 1
% 0.19/0.44 % --bmc1_ucm_init_mode 2
% 0.19/0.44 % --bmc1_ucm_cone_mode none
% 0.19/0.44 % --bmc1_ucm_reduced_relation_type 0
% 0.19/0.44 % --bmc1_ucm_relax_model 4
% 0.19/0.44 % --bmc1_ucm_full_tr_after_sat true
% 0.19/0.44 % --bmc1_ucm_expand_neg_assumptions false
% 0.19/0.44 % --bmc1_ucm_layered_model none
% 0.19/0.44 % --bmc1_ucm_max_lemma_size 10
% 0.19/0.44
% 0.19/0.44 % ------ AIG Options
% 0.19/0.44
% 0.19/0.44 % --aig_mode false
% 0.19/0.44
% 0.19/0.44 % ------ Instantiation Options
% 0.19/0.44
% 0.19/0.44 % --instantiation_flag true
% 0.19/0.44 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.44 % --inst_solver_per_active 750
% 0.19/0.44 % --inst_solver_calls_frac 0.5
% 0.19/0.44 % --inst_passive_queue_type priority_queues
% 0.19/0.44 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.44 % --inst_passive_queues_freq [25;2]
% 0.19/0.44 % --inst_dismatching true
% 0.19/0.44 % --inst_eager_unprocessed_to_passive true
% 0.19/0.44 % --inst_prop_sim_given true
% 28.08/28.36 % --inst_prop_sim_new false
% 28.08/28.36 % --inst_orphan_elimination true
% 28.08/28.36 % --inst_learning_loop_flag true
% 28.08/28.36 % --inst_learning_start 3000
% 28.08/28.36 % --inst_learning_factor 2
% 28.08/28.36 % --inst_start_prop_sim_after_learn 3
% 28.08/28.36 % --inst_sel_renew solver
% 28.08/28.36 % --inst_lit_activity_flag true
% 28.08/28.36 % --inst_out_proof true
% 28.08/28.36
% 28.08/28.36 % ------ Resolution Options
% 28.08/28.36
% 28.08/28.36 % --resolution_flag true
% 28.08/28.36 % --res_lit_sel kbo_max
% 28.08/28.36 % --res_to_prop_solver none
% 28.08/28.36 % --res_prop_simpl_new false
% 28.08/28.36 % --res_prop_simpl_given false
% 28.08/28.36 % --res_passive_queue_type priority_queues
% 28.08/28.36 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 28.08/28.36 % --res_passive_queues_freq [15;5]
% 28.08/28.36 % --res_forward_subs full
% 28.08/28.36 % --res_backward_subs full
% 28.08/28.36 % --res_forward_subs_resolution true
% 28.08/28.36 % --res_backward_subs_resolution true
% 28.08/28.36 % --res_orphan_elimination false
% 28.08/28.36 % --res_time_limit 1000.
% 28.08/28.36 % --res_out_proof true
% 28.08/28.36 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_dcafb1.s
% 28.08/28.36 % --modulo true
% 28.08/28.36
% 28.08/28.36 % ------ Combination Options
% 28.08/28.36
% 28.08/28.36 % --comb_res_mult 1000
% 28.08/28.36 % --comb_inst_mult 300
% 28.08/28.36 % ------
% 28.08/28.36
% 28.08/28.36
% 28.08/28.36
% 28.08/28.36 % ------ Proving...
% 28.08/28.36 %
% 28.08/28.36
% 28.08/28.36
% 28.08/28.36 % ------ Statistics
% 28.08/28.36
% 28.08/28.36 % ------ General
% 28.08/28.36
% 28.08/28.36 % num_of_input_clauses: 139
% 28.08/28.36 % num_of_input_neg_conjectures: 8
% 28.08/28.36 % num_of_splits: 0
% 28.08/28.36 % num_of_split_atoms: 0
% 28.08/28.36 % num_of_sem_filtered_clauses: 0
% 28.08/28.36 % num_of_subtypes: 0
% 28.08/28.36 % monotx_restored_types: 0
% 28.08/28.36 % sat_num_of_epr_types: 0
% 28.08/28.36 % sat_num_of_non_cyclic_types: 0
% 28.08/28.36 % sat_guarded_non_collapsed_types: 0
% 28.08/28.36 % is_epr: 0
% 28.08/28.36 % is_horn: 0
% 28.08/28.36 % has_eq: 1
% 28.08/28.36 % num_pure_diseq_elim: 0
% 28.08/28.36 % simp_replaced_by: 0
% 28.08/28.36 % res_preprocessed: 16
% 28.08/28.36 % prep_upred: 0
% 28.08/28.36 % prep_unflattend: 0
% 28.08/28.36 % pred_elim_cands: 0
% 28.08/28.36 % pred_elim: 0
% 28.08/28.36 % pred_elim_cl: 0
% 28.08/28.36 % pred_elim_cycles: 0
% 28.08/28.36 % forced_gc_time: 0
% 28.08/28.36 % gc_basic_clause_elim: 0
% 28.08/28.36 % parsing_time: 0.006
% 28.08/28.36 % sem_filter_time: 0.
% 28.08/28.36 % pred_elim_time: 0.
% 28.08/28.36 % out_proof_time: 0.005
% 28.08/28.36 % monotx_time: 0.
% 28.08/28.36 % subtype_inf_time: 0.
% 28.08/28.36 % unif_index_cands_time: 0.034
% 28.08/28.36 % unif_index_add_time: 0.022
% 28.08/28.36 % total_time: 27.948
% 28.08/28.36 % num_of_symbols: 68
% 28.08/28.36 % num_of_terms: 30852
% 28.08/28.36
% 28.08/28.36 % ------ Propositional Solver
% 28.08/28.36
% 28.08/28.36 % prop_solver_calls: 24
% 28.08/28.36 % prop_fast_solver_calls: 36
% 28.08/28.36 % prop_num_of_clauses: 11412
% 28.08/28.36 % prop_preprocess_simplified: 13574
% 28.08/28.36 % prop_fo_subsumed: 0
% 28.08/28.36 % prop_solver_time: 0.011
% 28.08/28.36 % prop_fast_solver_time: 0.
% 28.08/28.36 % prop_unsat_core_time: 0.001
% 28.08/28.36
% 28.08/28.36 % ------ QBF
% 28.08/28.36
% 28.08/28.36 % qbf_q_res: 0
% 28.08/28.36 % qbf_num_tautologies: 0
% 28.08/28.36 % qbf_prep_cycles: 0
% 28.08/28.36
% 28.08/28.36 % ------ BMC1
% 28.08/28.36
% 28.08/28.36 % bmc1_current_bound: -1
% 28.08/28.36 % bmc1_last_solved_bound: -1
% 28.08/28.36 % bmc1_unsat_core_size: -1
% 28.08/28.36 % bmc1_unsat_core_parents_size: -1
% 28.08/28.36 % bmc1_merge_next_fun: 0
% 28.08/28.36 % bmc1_unsat_core_clauses_time: 0.
% 28.08/28.36
% 28.08/28.36 % ------ Instantiation
% 28.08/28.36
% 28.08/28.36 % inst_num_of_clauses: 2562
% 28.08/28.36 % inst_num_in_passive: 1435
% 28.08/28.36 % inst_num_in_active: 1003
% 28.08/28.36 % inst_num_in_unprocessed: 107
% 28.08/28.36 % inst_num_of_loops: 1087
% 28.18/28.36 % inst_num_of_learning_restarts: 1
% 28.18/28.36 % inst_num_moves_active_passive: 71
% 28.18/28.36 % inst_lit_activity: 480
% 28.18/28.36 % inst_lit_activity_moves: 0
% 28.18/28.36 % inst_num_tautologies: 10
% 28.18/28.36 % inst_num_prop_implied: 0
% 28.18/28.36 % inst_num_existing_simplified: 0
% 28.18/28.36 % inst_num_eq_res_simplified: 5
% 28.18/28.36 % inst_num_child_elim: 0
% 28.18/28.36 % inst_num_of_dismatching_blockings: 528
% 28.18/28.36 % inst_num_of_non_proper_insts: 5596
% 28.18/28.36 % inst_num_of_duplicates: 774
% 28.18/28.36 % inst_inst_num_from_inst_to_res: 0
% 28.18/28.36 % inst_dismatching_checking_time: 0.034
% 28.18/28.36
% 28.18/28.36 % ------ Resolution
% 28.18/28.36
% 28.18/28.36 % res_num_of_clauses: 76697
% 28.18/28.36 % res_num_in_passive: 73670
% 28.18/28.36 % res_num_in_active: 2905
% 28.18/28.36 % res_num_of_loops: 14000
% 28.18/28.36 % res_forward_subset_subsumed: 13872
% 28.18/28.36 % res_backward_subset_subsumed: 78
% 28.18/28.36 % res_forward_subsumed: 10578
% 28.18/28.36 % res_backward_subsumed: 2
% 28.18/28.36 % res_forward_subsumption_resolution: 1431
% 28.18/28.36 % res_backward_subsumption_resolution: 0
% 28.18/28.36 % res_clause_to_clause_subsumption: 572065
% 28.18/28.36 % res_orphan_elimination: 0
% 28.18/28.36 % res_tautology_del: 7091
% 28.18/28.36 % res_num_eq_res_simplified: 0
% 28.18/28.36 % res_num_sel_changes: 0
% 28.18/28.36 % res_moves_from_active_to_pass: 0
% 28.18/28.36
% 28.18/28.36 % Status Unsatisfiable
% 28.18/28.36 % SZS status Theorem
% 28.18/28.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------