TSTP Solution File: SEU314+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU314+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 08:40:43 EDT 2022

% Result   : Theorem 9.41s 3.07s
% Output   : CNFRefutation 9.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   30
% Syntax   : Number of clauses     :  115 (  14 unt;  73 nHn; 101 RR)
%            Number of literals    :  533 ( 122 equ; 341 neg)
%            Maximal clause size   :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   2 con; 0-3 aty)
%            Number of variables   :  209 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1083,plain,
    ( esk188_2(X1,X2) = esk186_2(X1,X2)
    | in(X3,esk191_2(X1,X2))
    | X3 != X4
    | X5 != X3
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ subset(X2,X3)
    | ~ closed_subset(X4,X1)
    | ~ in(X5,powerset(the_carrier(X1)))
    | ~ element(X2,powerset(the_carrier(X1)))
    | ~ element(X4,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qz2qtmxj/lgb.p',i_0_1083) ).

cnf(i_0_1410,negated_conjecture,
    ( in(esk268_1(X1),X1)
    | subset(esk267_0,esk268_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qz2qtmxj/lgb.p',i_0_1410) ).

cnf(i_0_1411,negated_conjecture,
    ( in(esk268_1(X1),X1)
    | closed_subset(esk269_1(X1),esk266_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qz2qtmxj/lgb.p',i_0_1411) ).

cnf(i_0_1412,negated_conjecture,
    ( esk268_1(X1) = esk269_1(X1)
    | in(esk268_1(X1),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qz2qtmxj/lgb.p',i_0_1412) ).

cnf(i_0_1413,negated_conjecture,
    ( in(esk268_1(X1),X1)
    | element(esk269_1(X1),powerset(the_carrier(esk266_0))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qz2qtmxj/lgb.p',i_0_1413) ).

cnf(i_0_1418,negated_conjecture,
    topological_space(esk266_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qz2qtmxj/lgb.p',i_0_1418) ).

cnf(i_0_1417,negated_conjecture,
    top_str(esk266_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qz2qtmxj/lgb.p',i_0_1417) ).

cnf(i_0_1416,negated_conjecture,
    element(esk267_0,powerset(the_carrier(esk266_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qz2qtmxj/lgb.p',i_0_1416) ).

cnf(i_0_1414,negated_conjecture,
    ( in(esk268_1(X1),X1)
    | in(esk268_1(X1),powerset(the_carrier(esk266_0))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qz2qtmxj/lgb.p',i_0_1414) ).

cnf(i_0_1086,plain,
    ( esk193_3(X1,X2,X3) = X3
    | esk188_2(X1,X2) = esk186_2(X1,X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qz2qtmxj/lgb.p',i_0_1086) ).

cnf(i_0_1089,plain,
    ( esk188_2(X1,X2) = esk186_2(X1,X2)
    | in(esk192_3(X1,X2,X3),powerset(the_carrier(X1)))
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qz2qtmxj/lgb.p',i_0_1089) ).

cnf(i_0_1088,plain,
    ( esk192_3(X1,X2,X3) = X3
    | esk188_2(X1,X2) = esk186_2(X1,X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qz2qtmxj/lgb.p',i_0_1088) ).

cnf(i_0_1084,plain,
    ( esk188_2(X1,X2) = esk186_2(X1,X2)
    | subset(X2,X3)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qz2qtmxj/lgb.p',i_0_1084) ).

cnf(i_0_1415,negated_conjecture,
    ( X1 != esk268_1(X2)
    | ~ closed_subset(X1,esk266_0)
    | ~ in(esk268_1(X2),X2)
    | ~ subset(esk267_0,esk268_1(X2))
    | ~ element(X1,powerset(the_carrier(esk266_0)))
    | ~ in(esk268_1(X2),powerset(the_carrier(esk266_0))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qz2qtmxj/lgb.p',i_0_1415) ).

cnf(i_0_1085,plain,
    ( esk188_2(X1,X2) = esk186_2(X1,X2)
    | closed_subset(esk193_3(X1,X2,X3),X1)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qz2qtmxj/lgb.p',i_0_1085) ).

cnf(i_0_1087,plain,
    ( esk188_2(X1,X2) = esk186_2(X1,X2)
    | element(esk193_3(X1,X2,X3),powerset(the_carrier(X1)))
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qz2qtmxj/lgb.p',i_0_1087) ).

cnf(i_0_1050,plain,
    ( closed_subset(esk193_3(X1,X2,X3),X1)
    | esk188_2(X1,X2) != esk187_2(X1,X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qz2qtmxj/lgb.p',i_0_1050) ).

cnf(i_0_1051,plain,
    ( esk193_3(X1,X2,X3) = X3
    | esk188_2(X1,X2) != esk187_2(X1,X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qz2qtmxj/lgb.p',i_0_1051) ).

cnf(i_0_1121,plain,
    ( esk193_3(X1,X2,X3) = X3
    | esk186_2(X1,X2) = esk187_2(X1,X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qz2qtmxj/lgb.p',i_0_1121) ).

cnf(i_0_1052,plain,
    ( element(esk193_3(X1,X2,X3),powerset(the_carrier(X1)))
    | esk188_2(X1,X2) != esk187_2(X1,X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qz2qtmxj/lgb.p',i_0_1052) ).

cnf(i_0_1124,plain,
    ( esk186_2(X1,X2) = esk187_2(X1,X2)
    | in(esk192_3(X1,X2,X3),powerset(the_carrier(X1)))
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qz2qtmxj/lgb.p',i_0_1124) ).

cnf(i_0_1123,plain,
    ( esk192_3(X1,X2,X3) = X3
    | esk186_2(X1,X2) = esk187_2(X1,X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qz2qtmxj/lgb.p',i_0_1123) ).

cnf(i_0_1054,plain,
    ( in(esk192_3(X1,X2,X3),powerset(the_carrier(X1)))
    | esk188_2(X1,X2) != esk187_2(X1,X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qz2qtmxj/lgb.p',i_0_1054) ).

cnf(i_0_1053,plain,
    ( esk192_3(X1,X2,X3) = X3
    | esk188_2(X1,X2) != esk187_2(X1,X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qz2qtmxj/lgb.p',i_0_1053) ).

cnf(i_0_1049,plain,
    ( subset(X1,X2)
    | esk188_2(X3,X1) != esk187_2(X3,X1)
    | ~ top_str(X3)
    | ~ topological_space(X3)
    | ~ in(X2,esk191_2(X3,X1))
    | ~ element(X1,powerset(the_carrier(X3))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qz2qtmxj/lgb.p',i_0_1049) ).

cnf(i_0_1119,plain,
    ( esk186_2(X1,X2) = esk187_2(X1,X2)
    | subset(X2,X3)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qz2qtmxj/lgb.p',i_0_1119) ).

cnf(i_0_1122,plain,
    ( esk186_2(X1,X2) = esk187_2(X1,X2)
    | element(esk193_3(X1,X2,X3),powerset(the_carrier(X1)))
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qz2qtmxj/lgb.p',i_0_1122) ).

cnf(i_0_1118,plain,
    ( esk186_2(X1,X2) = esk187_2(X1,X2)
    | in(X3,esk191_2(X1,X2))
    | X3 != X4
    | X5 != X3
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ subset(X2,X3)
    | ~ closed_subset(X4,X1)
    | ~ in(X5,powerset(the_carrier(X1)))
    | ~ element(X2,powerset(the_carrier(X1)))
    | ~ element(X4,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qz2qtmxj/lgb.p',i_0_1118) ).

cnf(i_0_1120,plain,
    ( esk186_2(X1,X2) = esk187_2(X1,X2)
    | closed_subset(esk193_3(X1,X2,X3),X1)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qz2qtmxj/lgb.p',i_0_1120) ).

cnf(i_0_1048,plain,
    ( in(X1,esk191_2(X2,X3))
    | X1 != X4
    | X5 != X1
    | esk188_2(X2,X3) != esk187_2(X2,X3)
    | ~ top_str(X2)
    | ~ topological_space(X2)
    | ~ subset(X3,X1)
    | ~ closed_subset(X4,X2)
    | ~ in(X5,powerset(the_carrier(X2)))
    | ~ element(X3,powerset(the_carrier(X2)))
    | ~ element(X4,powerset(the_carrier(X2))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qz2qtmxj/lgb.p',i_0_1048) ).

cnf(c_0_1449,plain,
    ( esk188_2(X1,X2) = esk186_2(X1,X2)
    | in(X3,esk191_2(X1,X2))
    | X3 != X4
    | X5 != X3
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ subset(X2,X3)
    | ~ closed_subset(X4,X1)
    | ~ in(X5,powerset(the_carrier(X1)))
    | ~ element(X2,powerset(the_carrier(X1)))
    | ~ element(X4,powerset(the_carrier(X1))) ),
    i_0_1083 ).

cnf(c_0_1450,plain,
    ( esk186_2(X1,X2) = esk188_2(X1,X2)
    | in(X3,esk191_2(X1,X2))
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ element(X3,powerset(the_carrier(X1)))
    | ~ element(X2,powerset(the_carrier(X1)))
    | ~ subset(X2,X3)
    | ~ in(X3,powerset(the_carrier(X1)))
    | ~ closed_subset(X3,X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_1449])]) ).

cnf(c_0_1451,negated_conjecture,
    ( in(esk268_1(X1),X1)
    | subset(esk267_0,esk268_1(X1)) ),
    i_0_1410 ).

cnf(c_0_1452,negated_conjecture,
    ( in(esk268_1(X1),X1)
    | closed_subset(esk269_1(X1),esk266_0) ),
    i_0_1411 ).

cnf(c_0_1453,negated_conjecture,
    ( esk268_1(X1) = esk269_1(X1)
    | in(esk268_1(X1),X1) ),
    i_0_1412 ).

cnf(c_0_1454,negated_conjecture,
    ( in(esk268_1(X1),X1)
    | element(esk269_1(X1),powerset(the_carrier(esk266_0))) ),
    i_0_1413 ).

cnf(c_0_1455,negated_conjecture,
    ( esk186_2(X1,esk267_0) = esk188_2(X1,esk267_0)
    | in(esk268_1(X2),esk191_2(X1,esk267_0))
    | in(esk268_1(X2),X2)
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ element(esk268_1(X2),powerset(the_carrier(X1)))
    | ~ element(esk267_0,powerset(the_carrier(X1)))
    | ~ in(esk268_1(X2),powerset(the_carrier(X1)))
    | ~ closed_subset(esk268_1(X2),X1) ),
    inference(spm,[status(thm)],[c_0_1450,c_0_1451]) ).

cnf(c_0_1456,negated_conjecture,
    ( in(esk268_1(X1),X1)
    | closed_subset(esk268_1(X1),esk266_0) ),
    inference(spm,[status(thm)],[c_0_1452,c_0_1453]) ).

cnf(c_0_1457,negated_conjecture,
    topological_space(esk266_0),
    i_0_1418 ).

cnf(c_0_1458,negated_conjecture,
    top_str(esk266_0),
    i_0_1417 ).

cnf(c_0_1459,negated_conjecture,
    element(esk267_0,powerset(the_carrier(esk266_0))),
    i_0_1416 ).

cnf(c_0_1460,negated_conjecture,
    ( in(esk268_1(X1),X1)
    | in(esk268_1(X1),powerset(the_carrier(esk266_0))) ),
    i_0_1414 ).

cnf(c_0_1461,negated_conjecture,
    ( element(esk268_1(X1),powerset(the_carrier(esk266_0)))
    | in(esk268_1(X1),X1) ),
    inference(spm,[status(thm)],[c_0_1454,c_0_1453]) ).

cnf(c_0_1462,plain,
    ( esk193_3(X1,X2,X3) = X3
    | esk188_2(X1,X2) = esk186_2(X1,X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    i_0_1086 ).

cnf(c_0_1463,negated_conjecture,
    ( esk186_2(esk266_0,esk267_0) = esk188_2(esk266_0,esk267_0)
    | in(esk268_1(X1),esk191_2(esk266_0,esk267_0))
    | in(esk268_1(X1),X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1455,c_0_1456]),c_0_1457]),c_0_1458]),c_0_1459])]),c_0_1460]),c_0_1461]) ).

cnf(c_0_1464,plain,
    ( esk188_2(X1,X2) = esk186_2(X1,X2)
    | in(esk192_3(X1,X2,X3),powerset(the_carrier(X1)))
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    i_0_1089 ).

cnf(c_0_1465,plain,
    ( esk192_3(X1,X2,X3) = X3
    | esk188_2(X1,X2) = esk186_2(X1,X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    i_0_1088 ).

cnf(c_0_1466,negated_conjecture,
    ( esk186_2(esk266_0,esk267_0) = esk188_2(esk266_0,esk267_0)
    | esk193_3(esk266_0,esk267_0,X1) = X1
    | ~ in(X1,esk191_2(esk266_0,esk267_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1462,c_0_1459]),c_0_1457]),c_0_1458])]) ).

cnf(c_0_1467,negated_conjecture,
    ( esk186_2(esk266_0,esk267_0) = esk188_2(esk266_0,esk267_0)
    | in(esk268_1(esk191_2(esk266_0,esk267_0)),esk191_2(esk266_0,esk267_0)) ),
    inference(ef,[status(thm)],[c_0_1463]) ).

cnf(c_0_1468,plain,
    ( esk186_2(X1,X2) = esk188_2(X1,X2)
    | in(X3,powerset(the_carrier(X1)))
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ element(X2,powerset(the_carrier(X1)))
    | ~ in(X3,esk191_2(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_1464,c_0_1465]) ).

cnf(c_0_1469,plain,
    ( esk188_2(X1,X2) = esk186_2(X1,X2)
    | subset(X2,X3)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    i_0_1084 ).

cnf(c_0_1470,negated_conjecture,
    ( X1 != esk268_1(X2)
    | ~ closed_subset(X1,esk266_0)
    | ~ in(esk268_1(X2),X2)
    | ~ subset(esk267_0,esk268_1(X2))
    | ~ element(X1,powerset(the_carrier(esk266_0)))
    | ~ in(esk268_1(X2),powerset(the_carrier(esk266_0))) ),
    i_0_1415 ).

cnf(c_0_1471,plain,
    ( esk188_2(X1,X2) = esk186_2(X1,X2)
    | closed_subset(esk193_3(X1,X2,X3),X1)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    i_0_1085 ).

cnf(c_0_1472,negated_conjecture,
    ( esk193_3(esk266_0,esk267_0,esk268_1(esk191_2(esk266_0,esk267_0))) = esk268_1(esk191_2(esk266_0,esk267_0))
    | esk186_2(esk266_0,esk267_0) = esk188_2(esk266_0,esk267_0) ),
    inference(spm,[status(thm)],[c_0_1466,c_0_1467]) ).

cnf(c_0_1473,negated_conjecture,
    ( esk186_2(X1,X2) = esk188_2(X1,X2)
    | in(esk268_1(esk191_2(X1,X2)),powerset(the_carrier(esk266_0)))
    | in(esk268_1(esk191_2(X1,X2)),powerset(the_carrier(X1)))
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ element(X2,powerset(the_carrier(X1))) ),
    inference(spm,[status(thm)],[c_0_1468,c_0_1460]) ).

cnf(c_0_1474,negated_conjecture,
    ( esk186_2(X1,X2) = esk188_2(X1,X2)
    | subset(esk267_0,esk268_1(esk191_2(X1,X2)))
    | subset(X2,esk268_1(esk191_2(X1,X2)))
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ element(X2,powerset(the_carrier(X1))) ),
    inference(spm,[status(thm)],[c_0_1469,c_0_1451]) ).

cnf(c_0_1475,plain,
    ( esk188_2(X1,X2) = esk186_2(X1,X2)
    | element(esk193_3(X1,X2,X3),powerset(the_carrier(X1)))
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    i_0_1087 ).

cnf(c_0_1476,negated_conjecture,
    ( esk193_3(esk266_0,esk267_0,esk268_1(esk191_2(esk266_0,esk267_0))) = esk268_1(esk191_2(esk266_0,esk267_0))
    | esk186_2(esk266_0,esk267_0) = esk188_2(esk266_0,esk267_0)
    | element(esk268_1(esk191_2(esk266_0,esk267_0)),powerset(the_carrier(esk266_0))) ),
    inference(spm,[status(thm)],[c_0_1466,c_0_1461]) ).

cnf(c_0_1477,plain,
    ( closed_subset(esk193_3(X1,X2,X3),X1)
    | esk188_2(X1,X2) != esk187_2(X1,X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    i_0_1050 ).

cnf(c_0_1478,plain,
    ( esk193_3(X1,X2,X3) = X3
    | esk188_2(X1,X2) != esk187_2(X1,X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    i_0_1051 ).

cnf(c_0_1479,plain,
    ( esk193_3(X1,X2,X3) = X3
    | esk186_2(X1,X2) = esk187_2(X1,X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    i_0_1121 ).

cnf(c_0_1480,plain,
    ( element(esk193_3(X1,X2,X3),powerset(the_carrier(X1)))
    | esk188_2(X1,X2) != esk187_2(X1,X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    i_0_1052 ).

cnf(c_0_1481,plain,
    ( esk186_2(X1,X2) = esk187_2(X1,X2)
    | in(esk192_3(X1,X2,X3),powerset(the_carrier(X1)))
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    i_0_1124 ).

cnf(c_0_1482,plain,
    ( esk192_3(X1,X2,X3) = X3
    | esk186_2(X1,X2) = esk187_2(X1,X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    i_0_1123 ).

cnf(c_0_1483,plain,
    ( in(esk192_3(X1,X2,X3),powerset(the_carrier(X1)))
    | esk188_2(X1,X2) != esk187_2(X1,X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    i_0_1054 ).

cnf(c_0_1484,plain,
    ( esk192_3(X1,X2,X3) = X3
    | esk188_2(X1,X2) != esk187_2(X1,X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    i_0_1053 ).

cnf(c_0_1485,negated_conjecture,
    ( ~ element(esk268_1(X1),powerset(the_carrier(esk266_0)))
    | ~ subset(esk267_0,esk268_1(X1))
    | ~ in(esk268_1(X1),powerset(the_carrier(esk266_0)))
    | ~ in(esk268_1(X1),X1)
    | ~ closed_subset(esk268_1(X1),esk266_0) ),
    inference(er,[status(thm)],[c_0_1470]) ).

cnf(c_0_1486,plain,
    ( esk186_2(esk266_0,esk267_0) = esk188_2(esk266_0,esk267_0)
    | closed_subset(esk268_1(esk191_2(esk266_0,esk267_0)),esk266_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1471,c_0_1472]),c_0_1457]),c_0_1458]),c_0_1459])]),c_0_1456]) ).

cnf(c_0_1487,negated_conjecture,
    ( esk186_2(esk266_0,esk267_0) = esk188_2(esk266_0,esk267_0)
    | in(esk268_1(esk191_2(esk266_0,esk267_0)),powerset(the_carrier(esk266_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1473,c_0_1459]),c_0_1457]),c_0_1458])]) ).

cnf(c_0_1488,negated_conjecture,
    ( esk186_2(esk266_0,esk267_0) = esk188_2(esk266_0,esk267_0)
    | subset(esk267_0,esk268_1(esk191_2(esk266_0,esk267_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1474,c_0_1459]),c_0_1457]),c_0_1458])]) ).

cnf(c_0_1489,negated_conjecture,
    ( esk186_2(esk266_0,esk267_0) = esk188_2(esk266_0,esk267_0)
    | element(esk268_1(esk191_2(esk266_0,esk267_0)),powerset(the_carrier(esk266_0))) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1475,c_0_1476]),c_0_1457]),c_0_1458]),c_0_1459])]),c_0_1461]) ).

cnf(c_0_1490,plain,
    ( closed_subset(X1,X2)
    | esk187_2(X2,X3) != esk188_2(X2,X3)
    | ~ topological_space(X2)
    | ~ top_str(X2)
    | ~ element(X3,powerset(the_carrier(X2)))
    | ~ in(X1,esk191_2(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_1477,c_0_1478]) ).

cnf(c_0_1491,plain,
    ( subset(X1,X2)
    | esk188_2(X3,X1) != esk187_2(X3,X1)
    | ~ top_str(X3)
    | ~ topological_space(X3)
    | ~ in(X2,esk191_2(X3,X1))
    | ~ element(X1,powerset(the_carrier(X3))) ),
    i_0_1049 ).

cnf(c_0_1492,negated_conjecture,
    ( esk186_2(esk266_0,esk267_0) = esk187_2(esk266_0,esk267_0)
    | esk193_3(esk266_0,esk267_0,X1) = X1
    | ~ in(X1,esk191_2(esk266_0,esk267_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1479,c_0_1459]),c_0_1457]),c_0_1458])]) ).

cnf(c_0_1493,plain,
    ( element(X1,powerset(the_carrier(X2)))
    | esk187_2(X2,X3) != esk188_2(X2,X3)
    | ~ topological_space(X2)
    | ~ top_str(X2)
    | ~ element(X3,powerset(the_carrier(X2)))
    | ~ in(X1,esk191_2(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_1480,c_0_1478]) ).

cnf(c_0_1494,plain,
    ( esk186_2(X1,X2) = esk187_2(X1,X2)
    | in(X3,powerset(the_carrier(X1)))
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ element(X2,powerset(the_carrier(X1)))
    | ~ in(X3,esk191_2(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_1481,c_0_1482]) ).

cnf(c_0_1495,plain,
    ( in(X1,powerset(the_carrier(X2)))
    | esk187_2(X2,X3) != esk188_2(X2,X3)
    | ~ topological_space(X2)
    | ~ top_str(X2)
    | ~ element(X3,powerset(the_carrier(X2)))
    | ~ in(X1,esk191_2(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_1483,c_0_1484]) ).

cnf(c_0_1496,negated_conjecture,
    esk186_2(esk266_0,esk267_0) = esk188_2(esk266_0,esk267_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1485,c_0_1486]),c_0_1467]),c_0_1487]),c_0_1488]),c_0_1489]) ).

cnf(c_0_1497,plain,
    ( esk186_2(X1,X2) = esk187_2(X1,X2)
    | subset(X2,X3)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    i_0_1119 ).

cnf(c_0_1498,negated_conjecture,
    ( closed_subset(esk268_1(esk191_2(X1,X2)),esk266_0)
    | closed_subset(esk268_1(esk191_2(X1,X2)),X1)
    | esk187_2(X1,X2) != esk188_2(X1,X2)
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ element(X2,powerset(the_carrier(X1))) ),
    inference(spm,[status(thm)],[c_0_1490,c_0_1456]) ).

cnf(c_0_1499,negated_conjecture,
    ( subset(esk267_0,esk268_1(esk191_2(X1,X2)))
    | subset(X2,esk268_1(esk191_2(X1,X2)))
    | esk187_2(X1,X2) != esk188_2(X1,X2)
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ element(X2,powerset(the_carrier(X1))) ),
    inference(spm,[status(thm)],[c_0_1491,c_0_1451]) ).

cnf(c_0_1500,plain,
    ( esk186_2(X1,X2) = esk187_2(X1,X2)
    | element(esk193_3(X1,X2,X3),powerset(the_carrier(X1)))
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    i_0_1122 ).

cnf(c_0_1501,negated_conjecture,
    ( esk193_3(esk266_0,esk267_0,esk268_1(esk191_2(esk266_0,esk267_0))) = esk268_1(esk191_2(esk266_0,esk267_0))
    | esk186_2(esk266_0,esk267_0) = esk187_2(esk266_0,esk267_0)
    | element(esk268_1(esk191_2(esk266_0,esk267_0)),powerset(the_carrier(esk266_0))) ),
    inference(spm,[status(thm)],[c_0_1492,c_0_1461]) ).

cnf(c_0_1502,negated_conjecture,
    ( element(esk268_1(esk191_2(X1,X2)),powerset(the_carrier(esk266_0)))
    | element(esk268_1(esk191_2(X1,X2)),powerset(the_carrier(X1)))
    | esk187_2(X1,X2) != esk188_2(X1,X2)
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ element(X2,powerset(the_carrier(X1))) ),
    inference(spm,[status(thm)],[c_0_1493,c_0_1461]) ).

cnf(c_0_1503,negated_conjecture,
    ( esk186_2(X1,X2) = esk187_2(X1,X2)
    | in(esk268_1(esk191_2(X1,X2)),powerset(the_carrier(esk266_0)))
    | in(esk268_1(esk191_2(X1,X2)),powerset(the_carrier(X1)))
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ element(X2,powerset(the_carrier(X1))) ),
    inference(spm,[status(thm)],[c_0_1494,c_0_1460]) ).

cnf(c_0_1504,negated_conjecture,
    ( in(esk268_1(esk191_2(X1,X2)),powerset(the_carrier(esk266_0)))
    | in(esk268_1(esk191_2(X1,X2)),powerset(the_carrier(X1)))
    | esk187_2(X1,X2) != esk188_2(X1,X2)
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ element(X2,powerset(the_carrier(X1))) ),
    inference(spm,[status(thm)],[c_0_1495,c_0_1460]) ).

cnf(c_0_1505,plain,
    ( esk186_2(X1,X2) = esk187_2(X1,X2)
    | in(X3,esk191_2(X1,X2))
    | X3 != X4
    | X5 != X3
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ subset(X2,X3)
    | ~ closed_subset(X4,X1)
    | ~ in(X5,powerset(the_carrier(X1)))
    | ~ element(X2,powerset(the_carrier(X1)))
    | ~ element(X4,powerset(the_carrier(X1))) ),
    i_0_1118 ).

cnf(c_0_1506,plain,
    ( esk186_2(X1,X2) = esk187_2(X1,X2)
    | closed_subset(esk193_3(X1,X2,X3),X1)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk191_2(X1,X2))
    | ~ element(X2,powerset(the_carrier(X1))) ),
    i_0_1120 ).

cnf(c_0_1507,negated_conjecture,
    ( esk187_2(esk266_0,esk267_0) = esk188_2(esk266_0,esk267_0)
    | esk193_3(esk266_0,esk267_0,X1) = X1
    | ~ in(X1,esk191_2(esk266_0,esk267_0)) ),
    inference(rw,[status(thm)],[c_0_1492,c_0_1496]) ).

cnf(c_0_1508,negated_conjecture,
    ( esk186_2(X1,X2) = esk187_2(X1,X2)
    | subset(esk267_0,esk268_1(esk191_2(X1,X2)))
    | subset(X2,esk268_1(esk191_2(X1,X2)))
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ element(X2,powerset(the_carrier(X1))) ),
    inference(spm,[status(thm)],[c_0_1497,c_0_1451]) ).

cnf(c_0_1509,negated_conjecture,
    ( closed_subset(esk268_1(esk191_2(esk266_0,esk267_0)),esk266_0)
    | esk187_2(esk266_0,esk267_0) != esk188_2(esk266_0,esk267_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1498,c_0_1459]),c_0_1457]),c_0_1458])]) ).

cnf(c_0_1510,negated_conjecture,
    ( subset(esk267_0,esk268_1(esk191_2(esk266_0,esk267_0)))
    | esk187_2(esk266_0,esk267_0) != esk188_2(esk266_0,esk267_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1499,c_0_1459]),c_0_1457]),c_0_1458])]) ).

cnf(c_0_1511,negated_conjecture,
    ( esk186_2(esk266_0,esk267_0) = esk187_2(esk266_0,esk267_0)
    | element(esk268_1(esk191_2(esk266_0,esk267_0)),powerset(the_carrier(esk266_0))) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1500,c_0_1501]),c_0_1457]),c_0_1458]),c_0_1459])]),c_0_1461]) ).

cnf(c_0_1512,negated_conjecture,
    ( element(esk268_1(esk191_2(esk266_0,esk267_0)),powerset(the_carrier(esk266_0)))
    | esk187_2(esk266_0,esk267_0) != esk188_2(esk266_0,esk267_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1502,c_0_1459]),c_0_1457]),c_0_1458])]) ).

cnf(c_0_1513,negated_conjecture,
    ( esk186_2(esk266_0,esk267_0) = esk187_2(esk266_0,esk267_0)
    | in(esk268_1(esk191_2(esk266_0,esk267_0)),powerset(the_carrier(esk266_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1503,c_0_1459]),c_0_1457]),c_0_1458])]) ).

cnf(c_0_1514,negated_conjecture,
    ( in(esk268_1(esk191_2(esk266_0,esk267_0)),powerset(the_carrier(esk266_0)))
    | esk187_2(esk266_0,esk267_0) != esk188_2(esk266_0,esk267_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1504,c_0_1459]),c_0_1457]),c_0_1458])]) ).

cnf(c_0_1515,plain,
    ( esk186_2(X1,X2) = esk187_2(X1,X2)
    | in(X3,esk191_2(X1,X2))
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ element(X3,powerset(the_carrier(X1)))
    | ~ element(X2,powerset(the_carrier(X1)))
    | ~ subset(X2,X3)
    | ~ in(X3,powerset(the_carrier(X1)))
    | ~ closed_subset(X3,X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_1505])]) ).

cnf(c_0_1516,plain,
    ( esk187_2(esk266_0,esk267_0) = esk188_2(esk266_0,esk267_0)
    | closed_subset(X1,esk266_0)
    | ~ in(X1,esk191_2(esk266_0,esk267_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1506,c_0_1507]),c_0_1496]),c_0_1457]),c_0_1458]),c_0_1459])]) ).

cnf(c_0_1517,plain,
    ( esk187_2(esk266_0,esk267_0) = esk188_2(esk266_0,esk267_0)
    | element(X1,powerset(the_carrier(esk266_0)))
    | ~ in(X1,esk191_2(esk266_0,esk267_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1500,c_0_1507]),c_0_1496]),c_0_1457]),c_0_1458]),c_0_1459])]) ).

cnf(c_0_1518,negated_conjecture,
    ( esk186_2(esk266_0,esk267_0) = esk187_2(esk266_0,esk267_0)
    | subset(esk267_0,esk268_1(esk191_2(esk266_0,esk267_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1508,c_0_1459]),c_0_1457]),c_0_1458])]) ).

cnf(c_0_1519,negated_conjecture,
    ( esk187_2(esk266_0,esk267_0) != esk188_2(esk266_0,esk267_0)
    | ~ element(esk268_1(esk191_2(esk266_0,esk267_0)),powerset(the_carrier(esk266_0)))
    | ~ in(esk268_1(esk191_2(esk266_0,esk267_0)),powerset(the_carrier(esk266_0)))
    | ~ in(esk268_1(esk191_2(esk266_0,esk267_0)),esk191_2(esk266_0,esk267_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1485,c_0_1509]),c_0_1510]) ).

cnf(c_0_1520,negated_conjecture,
    element(esk268_1(esk191_2(esk266_0,esk267_0)),powerset(the_carrier(esk266_0))),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_1511,c_0_1496]),c_0_1512]) ).

cnf(c_0_1521,negated_conjecture,
    in(esk268_1(esk191_2(esk266_0,esk267_0)),powerset(the_carrier(esk266_0))),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_1513,c_0_1496]),c_0_1514]) ).

cnf(c_0_1522,negated_conjecture,
    ( esk186_2(X1,esk267_0) = esk187_2(X1,esk267_0)
    | in(esk268_1(X2),esk191_2(X1,esk267_0))
    | in(esk268_1(X2),X2)
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ element(esk268_1(X2),powerset(the_carrier(X1)))
    | ~ element(esk267_0,powerset(the_carrier(X1)))
    | ~ in(esk268_1(X2),powerset(the_carrier(X1)))
    | ~ closed_subset(esk268_1(X2),X1) ),
    inference(spm,[status(thm)],[c_0_1515,c_0_1451]) ).

cnf(c_0_1523,negated_conjecture,
    ( esk187_2(esk266_0,esk267_0) = esk188_2(esk266_0,esk267_0)
    | ~ subset(esk267_0,esk268_1(X1))
    | ~ in(esk268_1(X1),powerset(the_carrier(esk266_0)))
    | ~ in(esk268_1(X1),esk191_2(esk266_0,esk267_0))
    | ~ in(esk268_1(X1),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1485,c_0_1516]),c_0_1517]) ).

cnf(c_0_1524,negated_conjecture,
    subset(esk267_0,esk268_1(esk191_2(esk266_0,esk267_0))),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_1518,c_0_1496]),c_0_1510]) ).

cnf(c_0_1525,negated_conjecture,
    ( esk187_2(esk266_0,esk267_0) != esk188_2(esk266_0,esk267_0)
    | ~ in(esk268_1(esk191_2(esk266_0,esk267_0)),esk191_2(esk266_0,esk267_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1519,c_0_1520])]),c_0_1521])]) ).

cnf(c_0_1526,plain,
    ( in(X1,esk191_2(X2,X3))
    | X1 != X4
    | X5 != X1
    | esk188_2(X2,X3) != esk187_2(X2,X3)
    | ~ top_str(X2)
    | ~ topological_space(X2)
    | ~ subset(X3,X1)
    | ~ closed_subset(X4,X2)
    | ~ in(X5,powerset(the_carrier(X2)))
    | ~ element(X3,powerset(the_carrier(X2)))
    | ~ element(X4,powerset(the_carrier(X2))) ),
    i_0_1048 ).

cnf(c_0_1527,negated_conjecture,
    ( esk187_2(esk266_0,esk267_0) = esk188_2(esk266_0,esk267_0)
    | in(esk268_1(X1),esk191_2(esk266_0,esk267_0))
    | in(esk268_1(X1),X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1522,c_0_1456]),c_0_1496]),c_0_1457]),c_0_1458]),c_0_1459])]),c_0_1460]),c_0_1461]) ).

cnf(c_0_1528,negated_conjecture,
    ~ in(esk268_1(esk191_2(esk266_0,esk267_0)),esk191_2(esk266_0,esk267_0)),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1523,c_0_1524]),c_0_1521])]),c_0_1525]) ).

cnf(c_0_1529,plain,
    ( in(X1,esk191_2(X2,X3))
    | esk187_2(X2,X3) != esk188_2(X2,X3)
    | ~ topological_space(X2)
    | ~ top_str(X2)
    | ~ element(X1,powerset(the_carrier(X2)))
    | ~ element(X3,powerset(the_carrier(X2)))
    | ~ subset(X3,X1)
    | ~ in(X1,powerset(the_carrier(X2)))
    | ~ closed_subset(X1,X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_1526])]) ).

cnf(c_0_1530,negated_conjecture,
    esk187_2(esk266_0,esk267_0) = esk188_2(esk266_0,esk267_0),
    inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_1527]),c_0_1528]) ).

cnf(c_0_1531,negated_conjecture,
    ( in(esk268_1(X1),esk191_2(X2,esk267_0))
    | in(esk268_1(X1),X1)
    | esk187_2(X2,esk267_0) != esk188_2(X2,esk267_0)
    | ~ topological_space(X2)
    | ~ top_str(X2)
    | ~ element(esk268_1(X1),powerset(the_carrier(X2)))
    | ~ element(esk267_0,powerset(the_carrier(X2)))
    | ~ in(esk268_1(X1),powerset(the_carrier(X2)))
    | ~ closed_subset(esk268_1(X1),X2) ),
    inference(spm,[status(thm)],[c_0_1529,c_0_1451]) ).

cnf(c_0_1532,negated_conjecture,
    closed_subset(esk268_1(esk191_2(esk266_0,esk267_0)),esk266_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1509,c_0_1530])]) ).

cnf(c_0_1533,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1531,c_0_1532]),c_0_1530]),c_0_1457]),c_0_1458]),c_0_1520]),c_0_1459]),c_0_1521])]),c_0_1528]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEU314+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jun 19 12:40:15 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected SinE mode:
% 0.18/0.48  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.48  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.48  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.41/3.07  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.41/3.07  # No SInE strategy applied
% 9.41/3.07  # Trying AutoSched0 for 150 seconds
% 9.41/3.07  # AutoSched0-Mode selected heuristic G_____0021_C18_F1_SE_CS_SP_S0Y
% 9.41/3.07  # and selection function SelectMaxLComplexAvoidPosPred.
% 9.41/3.07  #
% 9.41/3.07  # Preprocessing time       : 0.025 s
% 9.41/3.07  
% 9.41/3.07  # Proof found!
% 9.41/3.07  # SZS status Theorem
% 9.41/3.07  # SZS output start CNFRefutation
% See solution above
% 9.41/3.07  # Training examples: 0 positive, 0 negative
% 9.41/3.07  
% 9.41/3.07  # -------------------------------------------------
% 9.41/3.07  # User time                : 0.148 s
% 9.41/3.07  # System time              : 0.007 s
% 9.41/3.07  # Total time               : 0.155 s
% 9.41/3.07  # Maximum resident set size: 7128 pages
% 9.41/3.07  
%------------------------------------------------------------------------------