TSTP Solution File: SEU323-10 by Metis---2.4

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SEU323-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n009.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 12:40:19 EDT 2022

% Result   : Unsatisfiable 67.84s 68.02s
% Output   : CNFRefutation 67.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   67
% Syntax   : Number of clauses     :  215 ( 106 unt;   0 nHn; 205 RR)
%            Number of literals    :  379 ( 378 equ; 165 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   3 con; 0-4 aty)
%            Number of variables   :   31 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
    ifeq2(A,A,B,C) = B ).

cnf(ifeq_axiom_001,axiom,
    ifeq(A,A,B,C) = B ).

cnf(fc3_tops_1,axiom,
    ifeq(element(B,powerset(the_carrier(A))),true,ifeq(closed_subset(B,A),true,ifeq(topological_space(A),true,ifeq(top_str(A),true,open_subset(subset_complement(the_carrier(A),B),A),true),true),true),true) = true ).

cnf(involutiveness_k3_subset_1,axiom,
    ifeq2(element(B,powerset(A)),true,subset_complement(A,subset_complement(A,B)),B) = B ).

cnf(dt_k3_subset_1,axiom,
    ifeq(element(B,powerset(A)),true,element(subset_complement(A,B),powerset(A)),true) = true ).

cnf(dt_k6_pre_topc,axiom,
    ifeq(element(B,powerset(the_carrier(A))),true,ifeq(top_str(A),true,element(topstr_closure(A,B),powerset(the_carrier(A))),true),true) = true ).

cnf(fc2_tops_1,axiom,
    ifeq(element(B,powerset(the_carrier(A))),true,ifeq(topological_space(A),true,ifeq(top_str(A),true,closed_subset(topstr_closure(A,B),A),true),true),true) = true ).

cnf(dt_k1_tops_1,axiom,
    ifeq(element(B,powerset(the_carrier(A))),true,ifeq(top_str(A),true,element(interior(A,B),powerset(the_carrier(A))),true),true) = true ).

cnf(d1_tops_1,axiom,
    ifeq2(element(B,powerset(the_carrier(A))),true,ifeq2(top_str(A),true,subset_complement(the_carrier(A),topstr_closure(A,subset_complement(the_carrier(A),B))),interior(A,B)),interior(A,B)) = interior(A,B) ).

cnf(t51_tops_1,negated_conjecture,
    top_str(sK2_t51_tops_1_A) = true ).

cnf(t51_tops_1_1,negated_conjecture,
    topological_space(sK2_t51_tops_1_A) = true ).

cnf(t51_tops_1_2,negated_conjecture,
    element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))) = true ).

cnf(t51_tops_1_3,negated_conjecture,
    open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A) != true ).

cnf(refute_0_0,plain,
    ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))),sK2_t51_tops_1_A),true),true),true),true) = true,
    inference(subst,[],[fc3_tops_1:[bind(A,$fot(sK2_t51_tops_1_A)),bind(B,$fot(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))))]]) ).

cnf(refute_0_1,plain,
    ifeq2(element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true,subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) = interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),
    inference(subst,[],[involutiveness_k3_subset_1:[bind(A,$fot(the_carrier(sK2_t51_tops_1_A))),bind(B,$fot(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)))]]) ).

cnf(refute_0_2,plain,
    ifeq(element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) = true,
    inference(subst,[],[dt_k1_tops_1:[bind(A,$fot(sK2_t51_tops_1_A)),bind(B,$fot(sK1_t51_tops_1_B))]]) ).

cnf(refute_0_3,plain,
    ( element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))) != true
    | ifeq(element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) != true
    | ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_4,plain,
    ( ifeq(element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) != true
    | ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) = true ),
    inference(resolve,[$cnf( $equal(element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))),true) )],[t51_tops_1_2,refute_0_3]) ).

cnf(refute_0_5,plain,
    ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),true),true) )],[refute_0_2,refute_0_4]) ).

cnf(refute_0_6,plain,
    ifeq(true,true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) = element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),
    inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))))),bind(C,$fot(true))]]) ).

cnf(refute_0_7,plain,
    ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) = ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),
    introduced(tautology,[refl,[$fot(ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true))]]) ).

cnf(refute_0_8,plain,
    ( ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) != ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true)
    | top_str(sK2_t51_tops_1_A) != true
    | ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) = ifeq(true,true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true)) ),[1,0],$fot(true)]]) ).

cnf(refute_0_9,plain,
    ( top_str(sK2_t51_tops_1_A) != true
    | ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) = ifeq(true,true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) ),
    inference(resolve,[$cnf( $equal(ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true)) )],[refute_0_7,refute_0_8]) ).

cnf(refute_0_10,plain,
    ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) = ifeq(true,true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),
    inference(resolve,[$cnf( $equal(top_str(sK2_t51_tops_1_A),true) )],[t51_tops_1,refute_0_9]) ).

cnf(refute_0_11,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_0_12,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_0_13,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_0_11,refute_0_12]) ).

cnf(refute_0_14,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_0_15,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_13,refute_0_14]) ).

cnf(refute_0_16,plain,
    ( ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) != ifeq(true,true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true)
    | ifeq(true,true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) != element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A)))
    | ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) = element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true))),bind(Y,$fot(ifeq(true,true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true))),bind(Z,$fot(element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A)))))]]) ).

cnf(refute_0_17,plain,
    ( ifeq(true,true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) != element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A)))
    | ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) = element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))) ),
    inference(resolve,[$cnf( $equal(ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),ifeq(true,true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true)) )],[refute_0_10,refute_0_16]) ).

cnf(refute_0_18,plain,
    ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) = element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),
    inference(resolve,[$cnf( $equal(ifeq(true,true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A)))) )],[refute_0_6,refute_0_17]) ).

cnf(refute_0_19,plain,
    ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) = ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),
    inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true))),bind(C,$fot(true))]]) ).

cnf(refute_0_20,plain,
    ( ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) != element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A)))
    | ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) != ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true)
    | ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) = element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),true))),bind(Y,$fot(ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true))),bind(Z,$fot(element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A)))))]]) ).

cnf(refute_0_21,plain,
    ( ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) != element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A)))
    | ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) = element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))) ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),true),ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true)) )],[refute_0_19,refute_0_20]) ).

cnf(refute_0_22,plain,
    ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) = element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),
    inference(resolve,[$cnf( $equal(ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A)))) )],[refute_0_18,refute_0_21]) ).

cnf(refute_0_23,plain,
    ( ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) != element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A)))
    | ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) != true
    | element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),true),true) ),[0],$fot(element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))))]]) ).

cnf(refute_0_24,plain,
    ( ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) != true
    | element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),true),element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A)))) )],[refute_0_22,refute_0_23]) ).

cnf(refute_0_25,plain,
    element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),true),true) )],[refute_0_5,refute_0_24]) ).

cnf(refute_0_26,plain,
    ( element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))) != true
    | ifeq2(element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true,subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) != interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)
    | ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) = interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq2(element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true,subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) ),[0,0],$fot(true)]]) ).

cnf(refute_0_27,plain,
    ( ifeq2(element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true,subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) != interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)
    | ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) = interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B) ),
    inference(resolve,[$cnf( $equal(element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) )],[refute_0_25,refute_0_26]) ).

cnf(refute_0_28,plain,
    ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) = interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),
    inference(resolve,[$cnf( $equal(ifeq2(element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true,subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) )],[refute_0_1,refute_0_27]) ).

cnf(refute_0_29,plain,
    ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) = subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))))),bind(C,$fot(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)))]]) ).

cnf(refute_0_30,plain,
    ( ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) != interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)
    | ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) != subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)))
    | subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))) = interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) ),[0],$fot(subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))))]]) ).

cnf(refute_0_31,plain,
    ( ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) != interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)
    | subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))) = interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B) ),
    inference(resolve,[$cnf( $equal(ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)))) )],[refute_0_29,refute_0_30]) ).

cnf(refute_0_32,plain,
    subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))) = interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),
    inference(resolve,[$cnf( $equal(ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) )],[refute_0_28,refute_0_31]) ).

cnf(refute_0_33,plain,
    ( ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))),sK2_t51_tops_1_A),true),true),true),true) != true
    | subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))) != interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)
    | ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))),sK2_t51_tops_1_A),true),true),true),true),true) ),[0,2,2,2,2,0],$fot(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))]]) ).

cnf(refute_0_34,plain,
    ( ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))),sK2_t51_tops_1_A),true),true),true),true) != true
    | ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true) = true ),
    inference(resolve,[$cnf( $equal(subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) )],[refute_0_32,refute_0_33]) ).

cnf(refute_0_35,plain,
    ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))),sK2_t51_tops_1_A),true),true),true),true),true) )],[refute_0_0,refute_0_34]) ).

cnf(refute_0_36,plain,
    ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) = ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),
    inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true))),bind(C,$fot(true))]]) ).

cnf(refute_0_37,plain,
    ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) = open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),
    inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A))),bind(C,$fot(true))]]) ).

cnf(refute_0_38,plain,
    ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) = ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),
    introduced(tautology,[refl,[$fot(ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true))]]) ).

cnf(refute_0_39,plain,
    ( ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) != ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true)
    | top_str(sK2_t51_tops_1_A) != true
    | ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) = ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true)) ),[1,0],$fot(true)]]) ).

cnf(refute_0_40,plain,
    ( top_str(sK2_t51_tops_1_A) != true
    | ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) = ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) ),
    inference(resolve,[$cnf( $equal(ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true)) )],[refute_0_38,refute_0_39]) ).

cnf(refute_0_41,plain,
    ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) = ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),
    inference(resolve,[$cnf( $equal(top_str(sK2_t51_tops_1_A),true) )],[t51_tops_1,refute_0_40]) ).

cnf(refute_0_42,plain,
    ( ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) != ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true)
    | ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) != open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A)
    | ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) = open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true))),bind(Y,$fot(ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true))),bind(Z,$fot(open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A)))]]) ).

cnf(refute_0_43,plain,
    ( ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) != open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A)
    | ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) = open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A) ),
    inference(resolve,[$cnf( $equal(ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true)) )],[refute_0_41,refute_0_42]) ).

cnf(refute_0_44,plain,
    ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) = open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),
    inference(resolve,[$cnf( $equal(ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A)) )],[refute_0_37,refute_0_43]) ).

cnf(refute_0_45,plain,
    ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) = ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),
    introduced(tautology,[refl,[$fot(ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true))]]) ).

cnf(refute_0_46,plain,
    ( ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) != open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A)
    | ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) != ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true)
    | ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) = ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true)) ),[1,2],$fot(open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A))]]) ).

cnf(refute_0_47,plain,
    ( ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) != open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A)
    | ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) = ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true)) )],[refute_0_45,refute_0_46]) ).

cnf(refute_0_48,plain,
    ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) = ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),
    inference(resolve,[$cnf( $equal(ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A)) )],[refute_0_44,refute_0_47]) ).

cnf(refute_0_49,plain,
    ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) = ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),
    introduced(tautology,[refl,[$fot(ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true))]]) ).

cnf(refute_0_50,plain,
    ( ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) != ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true)
    | topological_space(sK2_t51_tops_1_A) != true
    | ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) = ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true)) ),[1,0],$fot(true)]]) ).

cnf(refute_0_51,plain,
    ( topological_space(sK2_t51_tops_1_A) != true
    | ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) = ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) ),
    inference(resolve,[$cnf( $equal(ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true)) )],[refute_0_49,refute_0_50]) ).

cnf(refute_0_52,plain,
    ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) = ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),
    inference(resolve,[$cnf( $equal(topological_space(sK2_t51_tops_1_A),true) )],[t51_tops_1_1,refute_0_51]) ).

cnf(refute_0_53,plain,
    ( ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) != ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true)
    | ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) != ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true)
    | ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) = ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true))),bind(Y,$fot(ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true))),bind(Z,$fot(ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true)))]]) ).

cnf(refute_0_54,plain,
    ( ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) != ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true)
    | ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) = ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) ),
    inference(resolve,[$cnf( $equal(ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true)) )],[refute_0_52,refute_0_53]) ).

cnf(refute_0_55,plain,
    ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) = ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true)) )],[refute_0_48,refute_0_54]) ).

cnf(refute_0_56,plain,
    ( ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) != ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true)
    | ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) != open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A)
    | ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) = open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true))),bind(Y,$fot(ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true))),bind(Z,$fot(open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A)))]]) ).

cnf(refute_0_57,plain,
    ( ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) != open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A)
    | ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) = open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A) ),
    inference(resolve,[$cnf( $equal(ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true)) )],[refute_0_55,refute_0_56]) ).

cnf(refute_0_58,plain,
    ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) = open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),
    inference(resolve,[$cnf( $equal(ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A)) )],[refute_0_37,refute_0_57]) ).

cnf(refute_0_59,plain,
    ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true) = ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),
    introduced(tautology,[refl,[$fot(ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true))]]) ).

cnf(refute_0_60,plain,
    ( ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true) != ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true)
    | ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) != open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A)
    | ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true) = ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true)) ),[1,2],$fot(open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A))]]) ).

cnf(refute_0_61,plain,
    ( ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) != open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A)
    | ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true) = ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) ),
    inference(resolve,[$cnf( $equal(ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true)) )],[refute_0_59,refute_0_60]) ).

cnf(refute_0_62,plain,
    ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true) = ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),
    inference(resolve,[$cnf( $equal(ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A)) )],[refute_0_58,refute_0_61]) ).

cnf(refute_0_63,plain,
    ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true) = ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true),
    introduced(tautology,[refl,[$fot(ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true))]]) ).

cnf(refute_0_64,plain,
    ( ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true) != ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true)
    | ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true) != ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true)
    | ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true) = ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true),ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true)) ),[1,2],$fot(ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true))]]) ).

cnf(refute_0_65,plain,
    ( ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true) != ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true)
    | ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true) = ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true),ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true)) )],[refute_0_63,refute_0_64]) ).

cnf(refute_0_66,plain,
    ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true) = ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),
    inference(resolve,[$cnf( $equal(ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true)) )],[refute_0_62,refute_0_65]) ).

cnf(refute_0_67,plain,
    ifeq(element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true) = true,
    inference(subst,[],[dt_k3_subset_1:[bind(A,$fot(the_carrier(sK2_t51_tops_1_A))),bind(B,$fot(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)))]]) ).

cnf(refute_0_68,plain,
    ( element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))) != true
    | ifeq(element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true) != true
    | ifeq(true,true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_69,plain,
    ( ifeq(element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true) != true
    | ifeq(true,true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true) = true ),
    inference(resolve,[$cnf( $equal(element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) )],[refute_0_25,refute_0_68]) ).

cnf(refute_0_70,plain,
    ifeq(true,true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) )],[refute_0_67,refute_0_69]) ).

cnf(refute_0_71,plain,
    ifeq(true,true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true) = element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),
    inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))))),bind(C,$fot(true))]]) ).

cnf(refute_0_72,plain,
    ( ifeq(true,true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true) != element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A)))
    | ifeq(true,true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true) != true
    | element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) ),[0],$fot(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))))]]) ).

cnf(refute_0_73,plain,
    ( ifeq(true,true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true) != true
    | element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A)))) )],[refute_0_71,refute_0_72]) ).

cnf(refute_0_74,plain,
    element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) )],[refute_0_70,refute_0_73]) ).

cnf(refute_0_75,plain,
    ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true) = ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true),
    introduced(tautology,[refl,[$fot(ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true))]]) ).

cnf(refute_0_76,plain,
    ( element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))) != true
    | ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true) != ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true)
    | ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true) = ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true),ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true)) ),[1,0],$fot(true)]]) ).

cnf(refute_0_77,plain,
    ( element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))) != true
    | ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true) = ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true) ),
    inference(resolve,[$cnf( $equal(ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true),ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true)) )],[refute_0_75,refute_0_76]) ).

cnf(refute_0_78,plain,
    ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true) = ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true),
    inference(resolve,[$cnf( $equal(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true) )],[refute_0_74,refute_0_77]) ).

cnf(refute_0_79,plain,
    ( ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true) != ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true)
    | ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true) != ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true)
    | ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true) = ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true))),bind(Y,$fot(ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true))),bind(Z,$fot(ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true)))]]) ).

cnf(refute_0_80,plain,
    ( ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true) != ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true)
    | ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true) = ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) ),
    inference(resolve,[$cnf( $equal(ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true),ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true)) )],[refute_0_78,refute_0_79]) ).

cnf(refute_0_81,plain,
    ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true) = ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true),ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true)) )],[refute_0_66,refute_0_80]) ).

cnf(refute_0_82,plain,
    ( ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true) != ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true)
    | ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) != ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true)
    | ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true) = ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true))),bind(Y,$fot(ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true))),bind(Z,$fot(ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true)))]]) ).

cnf(refute_0_83,plain,
    ( ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) != ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true)
    | ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true) = ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) ),
    inference(resolve,[$cnf( $equal(ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true),ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true)) )],[refute_0_81,refute_0_82]) ).

cnf(refute_0_84,plain,
    ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true) = ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true)) )],[refute_0_36,refute_0_83]) ).

cnf(refute_0_85,plain,
    ( ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true) != ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true)
    | ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true) != true
    | ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true),true) ),[0],$fot(ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true))]]) ).

cnf(refute_0_86,plain,
    ( ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true) != true
    | ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) = true ),
    inference(resolve,[$cnf( $equal(ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true),ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true)) )],[refute_0_84,refute_0_85]) ).

cnf(refute_0_87,plain,
    ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true),true),true),true) )],[refute_0_35,refute_0_86]) ).

cnf(refute_0_88,plain,
    ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),true) = true,
    inference(subst,[],[fc2_tops_1:[bind(A,$fot(sK2_t51_tops_1_A)),bind(B,$fot(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))]]) ).

cnf(refute_0_89,plain,
    ifeq(element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))),true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) = true,
    inference(subst,[],[dt_k3_subset_1:[bind(A,$fot(the_carrier(sK2_t51_tops_1_A))),bind(B,$fot(sK1_t51_tops_1_B))]]) ).

cnf(refute_0_90,plain,
    ( element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))) != true
    | ifeq(element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))),true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) != true
    | ifeq(true,true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))),true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_91,plain,
    ( ifeq(element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))),true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) != true
    | ifeq(true,true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) = true ),
    inference(resolve,[$cnf( $equal(element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))),true) )],[t51_tops_1_2,refute_0_90]) ).

cnf(refute_0_92,plain,
    ifeq(true,true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))),true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) )],[refute_0_89,refute_0_91]) ).

cnf(refute_0_93,plain,
    ifeq(true,true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) = element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),
    inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))))),bind(C,$fot(true))]]) ).

cnf(refute_0_94,plain,
    ( ifeq(true,true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) != element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A)))
    | ifeq(true,true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) != true
    | element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) ),[0],$fot(element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))))]]) ).

cnf(refute_0_95,plain,
    ( ifeq(true,true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) != true
    | element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A)))) )],[refute_0_93,refute_0_94]) ).

cnf(refute_0_96,plain,
    element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) )],[refute_0_92,refute_0_95]) ).

cnf(refute_0_97,plain,
    ( element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))) != true
    | ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),true) != true
    | ifeq(true,true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_98,plain,
    ( ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),true) != true
    | ifeq(true,true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),true) = true ),
    inference(resolve,[$cnf( $equal(element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) )],[refute_0_96,refute_0_97]) ).

cnf(refute_0_99,plain,
    ifeq(true,true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),true),true) )],[refute_0_88,refute_0_98]) ).

cnf(refute_0_100,plain,
    ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true) = closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),
    inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A))),bind(C,$fot(true))]]) ).

cnf(refute_0_101,plain,
    ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true) = ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),
    introduced(tautology,[refl,[$fot(ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true))]]) ).

cnf(refute_0_102,plain,
    ( ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true) != ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true)
    | top_str(sK2_t51_tops_1_A) != true
    | ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true) = ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true)) ),[1,0],$fot(true)]]) ).

cnf(refute_0_103,plain,
    ( top_str(sK2_t51_tops_1_A) != true
    | ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true) = ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true) ),
    inference(resolve,[$cnf( $equal(ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true)) )],[refute_0_101,refute_0_102]) ).

cnf(refute_0_104,plain,
    ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true) = ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),
    inference(resolve,[$cnf( $equal(top_str(sK2_t51_tops_1_A),true) )],[t51_tops_1,refute_0_103]) ).

cnf(refute_0_105,plain,
    ( ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true) != ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true)
    | ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true) != closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A)
    | ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true) = closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true))),bind(Y,$fot(ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true))),bind(Z,$fot(closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A)))]]) ).

cnf(refute_0_106,plain,
    ( ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true) != closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A)
    | ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true) = closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A) ),
    inference(resolve,[$cnf( $equal(ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true)) )],[refute_0_104,refute_0_105]) ).

cnf(refute_0_107,plain,
    ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true) = closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),
    inference(resolve,[$cnf( $equal(ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A)) )],[refute_0_100,refute_0_106]) ).

cnf(refute_0_108,plain,
    ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true) = ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),
    introduced(tautology,[refl,[$fot(ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true))]]) ).

cnf(refute_0_109,plain,
    ( ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true) != closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A)
    | ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true) != ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true)
    | ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true) = ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true)) ),[1,2],$fot(closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A))]]) ).

cnf(refute_0_110,plain,
    ( ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true) != closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A)
    | ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true) = ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true) ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true)) )],[refute_0_108,refute_0_109]) ).

cnf(refute_0_111,plain,
    ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true) = ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),
    inference(resolve,[$cnf( $equal(ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A)) )],[refute_0_107,refute_0_110]) ).

cnf(refute_0_112,plain,
    ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true) = ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),
    introduced(tautology,[refl,[$fot(ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true))]]) ).

cnf(refute_0_113,plain,
    ( ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true) != ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true)
    | topological_space(sK2_t51_tops_1_A) != true
    | ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true) = ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true)) ),[1,0],$fot(true)]]) ).

cnf(refute_0_114,plain,
    ( topological_space(sK2_t51_tops_1_A) != true
    | ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true) = ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true) ),
    inference(resolve,[$cnf( $equal(ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true)) )],[refute_0_112,refute_0_113]) ).

cnf(refute_0_115,plain,
    ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true) = ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),
    inference(resolve,[$cnf( $equal(topological_space(sK2_t51_tops_1_A),true) )],[t51_tops_1_1,refute_0_114]) ).

cnf(refute_0_116,plain,
    ( ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true) != ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true)
    | ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true) != ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true)
    | ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true) = ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true))),bind(Y,$fot(ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true))),bind(Z,$fot(ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true)))]]) ).

cnf(refute_0_117,plain,
    ( ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true) != ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true)
    | ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true) = ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true) ),
    inference(resolve,[$cnf( $equal(ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true)) )],[refute_0_115,refute_0_116]) ).

cnf(refute_0_118,plain,
    ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true) = ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true)) )],[refute_0_111,refute_0_117]) ).

cnf(refute_0_119,plain,
    ( ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true) != ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true)
    | ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true) != closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A)
    | ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true) = closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true))),bind(Y,$fot(ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true))),bind(Z,$fot(closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A)))]]) ).

cnf(refute_0_120,plain,
    ( ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true) != closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A)
    | ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true) = closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A) ),
    inference(resolve,[$cnf( $equal(ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true)) )],[refute_0_118,refute_0_119]) ).

cnf(refute_0_121,plain,
    ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true) = closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),
    inference(resolve,[$cnf( $equal(ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A)) )],[refute_0_100,refute_0_120]) ).

cnf(refute_0_122,plain,
    ifeq(true,true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),true) = ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),
    inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true))),bind(C,$fot(true))]]) ).

cnf(refute_0_123,plain,
    ( ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true) != closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A)
    | ifeq(true,true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),true) != ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true)
    | ifeq(true,true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),true) = closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(ifeq(true,true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),true))),bind(Y,$fot(ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true))),bind(Z,$fot(closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A)))]]) ).

cnf(refute_0_124,plain,
    ( ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true) != closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A)
    | ifeq(true,true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),true) = closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A) ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),true),ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true)) )],[refute_0_122,refute_0_123]) ).

cnf(refute_0_125,plain,
    ifeq(true,true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),true) = closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),
    inference(resolve,[$cnf( $equal(ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A)) )],[refute_0_121,refute_0_124]) ).

cnf(refute_0_126,plain,
    ( ifeq(true,true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),true) != closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A)
    | ifeq(true,true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),true) != true
    | closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),true),true) ),[0],$fot(closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A))]]) ).

cnf(refute_0_127,plain,
    ( ifeq(true,true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),true) != true
    | closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),true),closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A)) )],[refute_0_125,refute_0_126]) ).

cnf(refute_0_128,plain,
    closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),true),true) )],[refute_0_99,refute_0_127]) ).

cnf(refute_0_129,plain,
    ifeq2(element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))) = topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),
    inference(subst,[],[involutiveness_k3_subset_1:[bind(A,$fot(the_carrier(sK2_t51_tops_1_A))),bind(B,$fot(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))))]]) ).

cnf(refute_0_130,plain,
    ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) = true,
    inference(subst,[],[dt_k6_pre_topc:[bind(A,$fot(sK2_t51_tops_1_A)),bind(B,$fot(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))]]) ).

cnf(refute_0_131,plain,
    ( element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))) != true
    | ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) != true
    | ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_132,plain,
    ( ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) != true
    | ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) = true ),
    inference(resolve,[$cnf( $equal(element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) )],[refute_0_96,refute_0_131]) ).

cnf(refute_0_133,plain,
    ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),true),true) )],[refute_0_130,refute_0_132]) ).

cnf(refute_0_134,plain,
    ifeq(true,true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true) = element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),
    inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))))),bind(C,$fot(true))]]) ).

cnf(refute_0_135,plain,
    ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true) = ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),
    introduced(tautology,[refl,[$fot(ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true))]]) ).

cnf(refute_0_136,plain,
    ( ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true) != ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true)
    | top_str(sK2_t51_tops_1_A) != true
    | ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true) = ifeq(true,true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true)) ),[1,0],$fot(true)]]) ).

cnf(refute_0_137,plain,
    ( top_str(sK2_t51_tops_1_A) != true
    | ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true) = ifeq(true,true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true) ),
    inference(resolve,[$cnf( $equal(ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true)) )],[refute_0_135,refute_0_136]) ).

cnf(refute_0_138,plain,
    ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true) = ifeq(true,true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),
    inference(resolve,[$cnf( $equal(top_str(sK2_t51_tops_1_A),true) )],[t51_tops_1,refute_0_137]) ).

cnf(refute_0_139,plain,
    ( ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true) != ifeq(true,true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true)
    | ifeq(true,true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true) != element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A)))
    | ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true) = element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true))),bind(Y,$fot(ifeq(true,true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true))),bind(Z,$fot(element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A)))))]]) ).

cnf(refute_0_140,plain,
    ( ifeq(true,true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true) != element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A)))
    | ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true) = element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))) ),
    inference(resolve,[$cnf( $equal(ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),ifeq(true,true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true)) )],[refute_0_138,refute_0_139]) ).

cnf(refute_0_141,plain,
    ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true) = element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),
    inference(resolve,[$cnf( $equal(ifeq(true,true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A)))) )],[refute_0_134,refute_0_140]) ).

cnf(refute_0_142,plain,
    ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) = ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),
    inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true))),bind(C,$fot(true))]]) ).

cnf(refute_0_143,plain,
    ( ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true) != element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A)))
    | ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) != ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true)
    | ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) = element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),true))),bind(Y,$fot(ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true))),bind(Z,$fot(element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A)))))]]) ).

cnf(refute_0_144,plain,
    ( ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true) != element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A)))
    | ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) = element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))) ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),true),ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true)) )],[refute_0_142,refute_0_143]) ).

cnf(refute_0_145,plain,
    ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) = element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),
    inference(resolve,[$cnf( $equal(ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A)))) )],[refute_0_141,refute_0_144]) ).

cnf(refute_0_146,plain,
    ( ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) != element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A)))
    | ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) != true
    | element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),true),true) ),[0],$fot(element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))))]]) ).

cnf(refute_0_147,plain,
    ( ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) != true
    | element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),true),element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A)))) )],[refute_0_145,refute_0_146]) ).

cnf(refute_0_148,plain,
    element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),true),true) )],[refute_0_133,refute_0_147]) ).

cnf(refute_0_149,plain,
    ( element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))) != true
    | ifeq2(element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))) != topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))
    | ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))) = topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq2(element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))) ),[0,0],$fot(true)]]) ).

cnf(refute_0_150,plain,
    ( ifeq2(element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))) != topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))
    | ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))) = topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)) ),
    inference(resolve,[$cnf( $equal(element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true) )],[refute_0_148,refute_0_149]) ).

cnf(refute_0_151,plain,
    ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))) = topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),
    inference(resolve,[$cnf( $equal(ifeq2(element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))) )],[refute_0_129,refute_0_150]) ).

cnf(refute_0_152,plain,
    ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))) = subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))))),bind(C,$fot(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))))]]) ).

cnf(refute_0_153,plain,
    ( ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))) != subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))))
    | ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))) != topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))
    | subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))) = topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))) ),[0],$fot(subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))))]]) ).

cnf(refute_0_154,plain,
    ( ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))) != topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))
    | subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))) = topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)) ),
    inference(resolve,[$cnf( $equal(ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))))) )],[refute_0_152,refute_0_153]) ).

cnf(refute_0_155,plain,
    subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))) = topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),
    inference(resolve,[$cnf( $equal(ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))) )],[refute_0_151,refute_0_154]) ).

cnf(refute_0_156,plain,
    ifeq2(element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) = interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),
    inference(subst,[],[d1_tops_1:[bind(A,$fot(sK2_t51_tops_1_A)),bind(B,$fot(sK1_t51_tops_1_B))]]) ).

cnf(refute_0_157,plain,
    ( element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))) != true
    | ifeq2(element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) != interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)
    | ifeq2(true,true,ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) = interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq2(element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) ),[0,0],$fot(true)]]) ).

cnf(refute_0_158,plain,
    ( ifeq2(element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) != interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)
    | ifeq2(true,true,ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) = interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B) ),
    inference(resolve,[$cnf( $equal(element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))),true) )],[t51_tops_1_2,refute_0_157]) ).

cnf(refute_0_159,plain,
    ifeq2(true,true,ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) = interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),
    inference(resolve,[$cnf( $equal(ifeq2(element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) )],[refute_0_156,refute_0_158]) ).

cnf(refute_0_160,plain,
    ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) = subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))))),bind(C,$fot(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)))]]) ).

cnf(refute_0_161,plain,
    ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) = ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),
    introduced(tautology,[refl,[$fot(ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)))]]) ).

cnf(refute_0_162,plain,
    ( ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) != ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))
    | top_str(sK2_t51_tops_1_A) != true
    | ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) = ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))) ),[1,0],$fot(true)]]) ).

cnf(refute_0_163,plain,
    ( top_str(sK2_t51_tops_1_A) != true
    | ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) = ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) ),
    inference(resolve,[$cnf( $equal(ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))) )],[refute_0_161,refute_0_162]) ).

cnf(refute_0_164,plain,
    ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) = ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),
    inference(resolve,[$cnf( $equal(top_str(sK2_t51_tops_1_A),true) )],[t51_tops_1,refute_0_163]) ).

cnf(refute_0_165,plain,
    ( ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) != ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))
    | ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) != subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))
    | ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) = subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)))),bind(Y,$fot(ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)))),bind(Z,$fot(subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))))]]) ).

cnf(refute_0_166,plain,
    ( ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) != subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))
    | ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) = subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))) ),
    inference(resolve,[$cnf( $equal(ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))) )],[refute_0_164,refute_0_165]) ).

cnf(refute_0_167,plain,
    ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) = subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),
    inference(resolve,[$cnf( $equal(ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))) )],[refute_0_160,refute_0_166]) ).

cnf(refute_0_168,plain,
    ifeq2(true,true,ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) = ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)))),bind(C,$fot(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)))]]) ).

cnf(refute_0_169,plain,
    ( ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) != subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))
    | ifeq2(true,true,ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) != ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))
    | ifeq2(true,true,ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) = subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(ifeq2(true,true,ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)))),bind(Y,$fot(ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)))),bind(Z,$fot(subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))))]]) ).

cnf(refute_0_170,plain,
    ( ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) != subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))
    | ifeq2(true,true,ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) = subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))) ),
    inference(resolve,[$cnf( $equal(ifeq2(true,true,ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))) )],[refute_0_168,refute_0_169]) ).

cnf(refute_0_171,plain,
    ifeq2(true,true,ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) = subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),
    inference(resolve,[$cnf( $equal(ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))) )],[refute_0_167,refute_0_170]) ).

cnf(refute_0_172,plain,
    ( ifeq2(true,true,ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) != interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)
    | ifeq2(true,true,ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) != subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))
    | subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))) = interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq2(true,true,ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) ),[0],$fot(subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))))]]) ).

cnf(refute_0_173,plain,
    ( ifeq2(true,true,ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) != interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)
    | subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))) = interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B) ),
    inference(resolve,[$cnf( $equal(ifeq2(true,true,ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))) )],[refute_0_171,refute_0_172]) ).

cnf(refute_0_174,plain,
    subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))) = interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),
    inference(resolve,[$cnf( $equal(ifeq2(true,true,ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) )],[refute_0_159,refute_0_173]) ).

cnf(refute_0_175,plain,
    subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))) = subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))),
    introduced(tautology,[refl,[$fot(subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))))]]) ).

cnf(refute_0_176,plain,
    ( subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))) != subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))))
    | subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))) != interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)
    | subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))) = subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) ),
    introduced(tautology,[equality,[$cnf( $equal(subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))),subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))))) ),[1,1],$fot(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))]]) ).

cnf(refute_0_177,plain,
    ( subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))) != interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)
    | subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))) = subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) ),
    inference(resolve,[$cnf( $equal(subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))),subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))))) )],[refute_0_175,refute_0_176]) ).

cnf(refute_0_178,plain,
    subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))) = subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),
    inference(resolve,[$cnf( $equal(subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) )],[refute_0_174,refute_0_177]) ).

cnf(refute_0_179,plain,
    ( subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))) != subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))
    | subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))) != topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))
    | subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) = topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)) ),
    introduced(tautology,[equality,[$cnf( $equal(subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))) ),[0],$fot(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)))]]) ).

cnf(refute_0_180,plain,
    ( subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))) != topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))
    | subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) = topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)) ),
    inference(resolve,[$cnf( $equal(subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))) )],[refute_0_178,refute_0_179]) ).

cnf(refute_0_181,plain,
    subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) = topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),
    inference(resolve,[$cnf( $equal(subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))) )],[refute_0_155,refute_0_180]) ).

cnf(refute_0_182,plain,
    ( subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) != topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))
    | topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)) = subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) ),
    inference(subst,[],[refute_0_13:[bind(X,$fot(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)))),bind(Y,$fot(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))))]]) ).

cnf(refute_0_183,plain,
    topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)) = subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),
    inference(resolve,[$cnf( $equal(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))) )],[refute_0_181,refute_0_182]) ).

cnf(refute_0_184,plain,
    closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A) = closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),
    introduced(tautology,[refl,[$fot(closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A))]]) ).

cnf(refute_0_185,plain,
    ( closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A) != closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A)
    | topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)) != subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))
    | closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A) = closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A) ),
    introduced(tautology,[equality,[$cnf( $equal(closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A)) ),[1,0],$fot(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)))]]) ).

cnf(refute_0_186,plain,
    ( topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)) != subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))
    | closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A) = closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A) ),
    inference(resolve,[$cnf( $equal(closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A)) )],[refute_0_184,refute_0_185]) ).

cnf(refute_0_187,plain,
    closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A) = closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),
    inference(resolve,[$cnf( $equal(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))) )],[refute_0_183,refute_0_186]) ).

cnf(refute_0_188,plain,
    ( closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A) != closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A)
    | closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A) != true
    | closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A) = true ),
    introduced(tautology,[equality,[$cnf( $equal(closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true) ),[0],$fot(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A))]]) ).

cnf(refute_0_189,plain,
    ( closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A) != true
    | closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A) = true ),
    inference(resolve,[$cnf( $equal(closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A)) )],[refute_0_187,refute_0_188]) ).

cnf(refute_0_190,plain,
    closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A) = true,
    inference(resolve,[$cnf( $equal(closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true) )],[refute_0_128,refute_0_189]) ).

cnf(refute_0_191,plain,
    ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) = ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),
    introduced(tautology,[refl,[$fot(ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true))]]) ).

cnf(refute_0_192,plain,
    ( closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A) != true
    | ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) != ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true)
    | ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) = ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true)) ),[1,0],$fot(true)]]) ).

cnf(refute_0_193,plain,
    ( closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A) != true
    | ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) = ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) ),
    inference(resolve,[$cnf( $equal(ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true)) )],[refute_0_191,refute_0_192]) ).

cnf(refute_0_194,plain,
    ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) = ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),
    inference(resolve,[$cnf( $equal(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true) )],[refute_0_190,refute_0_193]) ).

cnf(refute_0_195,plain,
    ( ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) != ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true)
    | ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) != open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A)
    | ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) = open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A) ),
    inference(subst,[],[refute_0_15:[bind(X,$fot(ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true))),bind(Y,$fot(ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true))),bind(Z,$fot(open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A)))]]) ).

cnf(refute_0_196,plain,
    ( ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) != open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A)
    | ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) = open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A) ),
    inference(resolve,[$cnf( $equal(ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true)) )],[refute_0_194,refute_0_195]) ).

cnf(refute_0_197,plain,
    ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) = open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),
    inference(resolve,[$cnf( $equal(ifeq(true,true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A)) )],[refute_0_37,refute_0_196]) ).

cnf(refute_0_198,plain,
    ( ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) != open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A)
    | ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) != true
    | open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) ),[0],$fot(open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A))]]) ).

cnf(refute_0_199,plain,
    ( ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) != true
    | open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A) = true ),
    inference(resolve,[$cnf( $equal(ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A)) )],[refute_0_197,refute_0_198]) ).

cnf(refute_0_200,plain,
    open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A) = true,
    inference(resolve,[$cnf( $equal(ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),true) )],[refute_0_87,refute_0_199]) ).

cnf(refute_0_201,plain,
    $false,
    inference(resolve,[$cnf( $equal(open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true) )],[refute_0_200,t51_tops_1_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SEU323-10 : TPTP v8.1.0. Released v7.3.0.
% 0.08/0.15  % Command  : metis --show proof --show saturation %s
% 0.15/0.36  % Computer : n009.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Sun Jun 19 18:47:07 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 67.84/68.02  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 67.84/68.02  
% 67.84/68.02  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 67.84/68.07  
%------------------------------------------------------------------------------