TSTP Solution File: SEU310+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU310+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n004.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 08:40:40 EDT 2022

% Result   : Theorem 7.07s 2.33s
% Output   : CNFRefutation 7.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   64 (  11 unt;  37 nHn;  56 RR)
%            Number of literals    :  255 (  65 equ; 156 neg)
%            Maximal clause size   :    8 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   2 con; 0-3 aty)
%            Number of variables   :  105 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_99,plain,
    ( esk8_2(X1,X2) = esk9_2(X1,X2)
    | in(X3,esk11_2(X1,X2))
    | X4 != X3
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ in(X4,powerset(the_carrier(X1)))
    | ~ in(set_difference(cast_as_carrier_subset(X1),X3),X2)
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4w0swy63/input.p',i_0_99) ).

cnf(i_0_1,negated_conjecture,
    ( in(esk3_1(X1),X1)
    | in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X1)),esk2_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4w0swy63/input.p',i_0_1) ).

cnf(i_0_4,negated_conjecture,
    element(esk2_0,powerset(powerset(the_carrier(esk1_0)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4w0swy63/input.p',i_0_4) ).

cnf(i_0_5,negated_conjecture,
    top_str(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4w0swy63/input.p',i_0_5) ).

cnf(i_0_6,negated_conjecture,
    topological_space(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4w0swy63/input.p',i_0_6) ).

cnf(i_0_2,negated_conjecture,
    ( in(esk3_1(X1),X1)
    | in(esk3_1(X1),powerset(the_carrier(esk1_0))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4w0swy63/input.p',i_0_2) ).

cnf(i_0_100,plain,
    ( esk8_2(X1,X2) = esk9_2(X1,X2)
    | in(set_difference(cast_as_carrier_subset(X1),X3),X2)
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ in(X3,esk11_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4w0swy63/input.p',i_0_100) ).

cnf(i_0_91,plain,
    ( esk10_2(X1,X2) = esk8_2(X1,X2)
    | in(X3,esk11_2(X1,X2))
    | X4 != X3
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ in(X4,powerset(the_carrier(X1)))
    | ~ in(set_difference(cast_as_carrier_subset(X1),X3),X2)
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4w0swy63/input.p',i_0_91) ).

cnf(i_0_101,plain,
    ( esk12_3(X1,X2,X3) = X3
    | esk8_2(X1,X2) = esk9_2(X1,X2)
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ in(X3,esk11_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4w0swy63/input.p',i_0_101) ).

cnf(i_0_3,negated_conjecture,
    ( ~ in(esk3_1(X1),X1)
    | ~ in(esk3_1(X1),powerset(the_carrier(esk1_0)))
    | ~ in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X1)),esk2_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4w0swy63/input.p',i_0_3) ).

cnf(i_0_83,plain,
    ( in(X1,esk11_2(X2,X3))
    | X4 != X1
    | esk10_2(X2,X3) != esk9_2(X2,X3)
    | ~ topological_space(X2)
    | ~ top_str(X2)
    | ~ in(X4,powerset(the_carrier(X2)))
    | ~ in(set_difference(cast_as_carrier_subset(X2),X1),X3)
    | ~ element(X3,powerset(powerset(the_carrier(X2)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4w0swy63/input.p',i_0_83) ).

cnf(i_0_92,plain,
    ( esk10_2(X1,X2) = esk8_2(X1,X2)
    | in(set_difference(cast_as_carrier_subset(X1),X3),X2)
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ in(X3,esk11_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4w0swy63/input.p',i_0_92) ).

cnf(i_0_102,plain,
    ( esk8_2(X1,X2) = esk9_2(X1,X2)
    | in(esk12_3(X1,X2,X3),powerset(the_carrier(X1)))
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ in(X3,esk11_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4w0swy63/input.p',i_0_102) ).

cnf(i_0_93,plain,
    ( esk12_3(X1,X2,X3) = X3
    | esk10_2(X1,X2) = esk8_2(X1,X2)
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ in(X3,esk11_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4w0swy63/input.p',i_0_93) ).

cnf(i_0_84,plain,
    ( in(set_difference(cast_as_carrier_subset(X1),X2),X3)
    | esk10_2(X1,X3) != esk9_2(X1,X3)
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ in(X2,esk11_2(X1,X3))
    | ~ element(X3,powerset(powerset(the_carrier(X1)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4w0swy63/input.p',i_0_84) ).

cnf(i_0_86,plain,
    ( in(esk12_3(X1,X2,X3),powerset(the_carrier(X1)))
    | esk10_2(X1,X2) != esk9_2(X1,X2)
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ in(X3,esk11_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4w0swy63/input.p',i_0_86) ).

cnf(i_0_85,plain,
    ( esk12_3(X1,X2,X3) = X3
    | esk10_2(X1,X2) != esk9_2(X1,X2)
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ in(X3,esk11_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4w0swy63/input.p',i_0_85) ).

cnf(i_0_94,plain,
    ( esk10_2(X1,X2) = esk8_2(X1,X2)
    | in(esk12_3(X1,X2,X3),powerset(the_carrier(X1)))
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ in(X3,esk11_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4w0swy63/input.p',i_0_94) ).

cnf(c_0_121,plain,
    ( esk8_2(X1,X2) = esk9_2(X1,X2)
    | in(X3,esk11_2(X1,X2))
    | X4 != X3
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ in(X4,powerset(the_carrier(X1)))
    | ~ in(set_difference(cast_as_carrier_subset(X1),X3),X2)
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    i_0_99 ).

cnf(c_0_122,plain,
    ( esk8_2(X1,X2) = esk9_2(X1,X2)
    | in(X3,esk11_2(X1,X2))
    | ~ in(set_difference(cast_as_carrier_subset(X1),X3),X2)
    | ~ in(X3,powerset(the_carrier(X1)))
    | ~ element(X2,powerset(powerset(the_carrier(X1))))
    | ~ top_str(X1)
    | ~ topological_space(X1) ),
    inference(er,[status(thm)],[c_0_121]) ).

cnf(c_0_123,negated_conjecture,
    ( in(esk3_1(X1),X1)
    | in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X1)),esk2_0) ),
    i_0_1 ).

cnf(c_0_124,negated_conjecture,
    element(esk2_0,powerset(powerset(the_carrier(esk1_0)))),
    i_0_4 ).

cnf(c_0_125,negated_conjecture,
    top_str(esk1_0),
    i_0_5 ).

cnf(c_0_126,negated_conjecture,
    topological_space(esk1_0),
    i_0_6 ).

cnf(c_0_127,negated_conjecture,
    ( in(esk3_1(X1),X1)
    | in(esk3_1(X1),powerset(the_carrier(esk1_0))) ),
    i_0_2 ).

cnf(c_0_128,plain,
    ( esk8_2(X1,X2) = esk9_2(X1,X2)
    | in(set_difference(cast_as_carrier_subset(X1),X3),X2)
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ in(X3,esk11_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    i_0_100 ).

cnf(c_0_129,negated_conjecture,
    ( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
    | in(esk3_1(X1),esk11_2(esk1_0,esk2_0))
    | in(esk3_1(X1),X1) ),
    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_122,c_0_123]),c_0_124]),c_0_125]),c_0_126])]),c_0_127]) ).

cnf(c_0_130,plain,
    ( esk10_2(X1,X2) = esk8_2(X1,X2)
    | in(X3,esk11_2(X1,X2))
    | X4 != X3
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ in(X4,powerset(the_carrier(X1)))
    | ~ in(set_difference(cast_as_carrier_subset(X1),X3),X2)
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    i_0_91 ).

cnf(c_0_131,plain,
    ( esk12_3(X1,X2,X3) = X3
    | esk8_2(X1,X2) = esk9_2(X1,X2)
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ in(X3,esk11_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    i_0_101 ).

cnf(c_0_132,negated_conjecture,
    ( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
    | in(set_difference(cast_as_carrier_subset(esk1_0),X1),esk2_0)
    | ~ in(X1,esk11_2(esk1_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_124]),c_0_125]),c_0_126])]) ).

cnf(c_0_133,negated_conjecture,
    ( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
    | in(esk3_1(esk11_2(esk1_0,esk2_0)),esk11_2(esk1_0,esk2_0)) ),
    inference(ef,[status(thm)],[c_0_129]) ).

cnf(c_0_134,plain,
    ( esk8_2(X1,X2) = esk10_2(X1,X2)
    | in(X3,esk11_2(X1,X2))
    | ~ in(set_difference(cast_as_carrier_subset(X1),X3),X2)
    | ~ in(X3,powerset(the_carrier(X1)))
    | ~ element(X2,powerset(powerset(the_carrier(X1))))
    | ~ top_str(X1)
    | ~ topological_space(X1) ),
    inference(er,[status(thm)],[c_0_130]) ).

cnf(c_0_135,negated_conjecture,
    ( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
    | esk12_3(esk1_0,esk2_0,X1) = X1
    | ~ in(X1,esk11_2(esk1_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_124]),c_0_125]),c_0_126])]) ).

cnf(c_0_136,negated_conjecture,
    ( ~ in(esk3_1(X1),X1)
    | ~ in(esk3_1(X1),powerset(the_carrier(esk1_0)))
    | ~ in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X1)),esk2_0) ),
    i_0_3 ).

cnf(c_0_137,negated_conjecture,
    ( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
    | in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(esk11_2(esk1_0,esk2_0))),esk2_0) ),
    inference(spm,[status(thm)],[c_0_132,c_0_133]) ).

cnf(c_0_138,plain,
    ( in(X1,esk11_2(X2,X3))
    | X4 != X1
    | esk10_2(X2,X3) != esk9_2(X2,X3)
    | ~ topological_space(X2)
    | ~ top_str(X2)
    | ~ in(X4,powerset(the_carrier(X2)))
    | ~ in(set_difference(cast_as_carrier_subset(X2),X1),X3)
    | ~ element(X3,powerset(powerset(the_carrier(X2)))) ),
    i_0_83 ).

cnf(c_0_139,plain,
    ( esk10_2(X1,X2) = esk8_2(X1,X2)
    | in(set_difference(cast_as_carrier_subset(X1),X3),X2)
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ in(X3,esk11_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    i_0_92 ).

cnf(c_0_140,negated_conjecture,
    ( esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
    | in(esk3_1(X1),esk11_2(esk1_0,esk2_0))
    | in(esk3_1(X1),X1) ),
    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_134,c_0_123]),c_0_124]),c_0_125]),c_0_126])]),c_0_127]) ).

cnf(c_0_141,plain,
    ( esk8_2(X1,X2) = esk9_2(X1,X2)
    | in(esk12_3(X1,X2,X3),powerset(the_carrier(X1)))
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ in(X3,esk11_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    i_0_102 ).

cnf(c_0_142,negated_conjecture,
    ( esk12_3(esk1_0,esk2_0,esk3_1(esk11_2(esk1_0,esk2_0))) = esk3_1(esk11_2(esk1_0,esk2_0))
    | esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_135,c_0_133]) ).

cnf(c_0_143,negated_conjecture,
    ( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
    | ~ in(esk3_1(esk11_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_133]) ).

cnf(c_0_144,plain,
    ( in(X1,esk11_2(X2,X3))
    | esk10_2(X2,X3) != esk9_2(X2,X3)
    | ~ in(set_difference(cast_as_carrier_subset(X2),X1),X3)
    | ~ in(X1,powerset(the_carrier(X2)))
    | ~ element(X3,powerset(powerset(the_carrier(X2))))
    | ~ top_str(X2)
    | ~ topological_space(X2) ),
    inference(er,[status(thm)],[c_0_138]) ).

cnf(c_0_145,negated_conjecture,
    ( esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
    | in(set_difference(cast_as_carrier_subset(esk1_0),X1),esk2_0)
    | ~ in(X1,esk11_2(esk1_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_124]),c_0_125]),c_0_126])]) ).

cnf(c_0_146,negated_conjecture,
    ( esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
    | in(esk3_1(esk11_2(esk1_0,esk2_0)),esk11_2(esk1_0,esk2_0)) ),
    inference(ef,[status(thm)],[c_0_140]) ).

cnf(c_0_147,plain,
    ( esk12_3(X1,X2,X3) = X3
    | esk10_2(X1,X2) = esk8_2(X1,X2)
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ in(X3,esk11_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    i_0_93 ).

cnf(c_0_148,negated_conjecture,
    esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0),
    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_141,c_0_142]),c_0_124]),c_0_125]),c_0_126])]),c_0_133]),c_0_143]) ).

cnf(c_0_149,negated_conjecture,
    ( in(esk3_1(X1),esk11_2(esk1_0,esk2_0))
    | in(esk3_1(X1),X1)
    | esk10_2(esk1_0,esk2_0) != esk9_2(esk1_0,esk2_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_144,c_0_123]),c_0_124]),c_0_125]),c_0_126])]),c_0_127]) ).

cnf(c_0_150,negated_conjecture,
    ( esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
    | in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(esk11_2(esk1_0,esk2_0))),esk2_0) ),
    inference(spm,[status(thm)],[c_0_145,c_0_146]) ).

cnf(c_0_151,negated_conjecture,
    ( esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
    | esk12_3(esk1_0,esk2_0,X1) = X1
    | ~ in(X1,esk11_2(esk1_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_124]),c_0_125]),c_0_126])]) ).

cnf(c_0_152,plain,
    ( in(set_difference(cast_as_carrier_subset(X1),X2),X3)
    | esk10_2(X1,X3) != esk9_2(X1,X3)
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ in(X2,esk11_2(X1,X3))
    | ~ element(X3,powerset(powerset(the_carrier(X1)))) ),
    i_0_84 ).

cnf(c_0_153,negated_conjecture,
    ( in(esk3_1(X1),esk11_2(esk1_0,esk2_0))
    | in(esk3_1(X1),X1) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_148]),c_0_149]) ).

cnf(c_0_154,negated_conjecture,
    ( esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
    | ~ in(esk3_1(esk11_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_150]),c_0_146]) ).

cnf(c_0_155,negated_conjecture,
    ( esk12_3(esk1_0,esk2_0,esk3_1(esk11_2(esk1_0,esk2_0))) = esk3_1(esk11_2(esk1_0,esk2_0))
    | esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_151,c_0_146]) ).

cnf(c_0_156,negated_conjecture,
    ( esk10_2(esk1_0,esk2_0) != esk9_2(esk1_0,esk2_0)
    | ~ in(esk3_1(X1),powerset(the_carrier(esk1_0)))
    | ~ in(esk3_1(X1),esk11_2(esk1_0,esk2_0))
    | ~ in(esk3_1(X1),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_152]),c_0_124]),c_0_125]),c_0_126])]) ).

cnf(c_0_157,negated_conjecture,
    in(esk3_1(esk11_2(esk1_0,esk2_0)),esk11_2(esk1_0,esk2_0)),
    inference(ef,[status(thm)],[c_0_153]) ).

cnf(c_0_158,negated_conjecture,
    ( esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
    | ~ in(esk3_1(esk11_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
    inference(rw,[status(thm)],[c_0_154,c_0_148]) ).

cnf(c_0_159,plain,
    ( in(esk12_3(X1,X2,X3),powerset(the_carrier(X1)))
    | esk10_2(X1,X2) != esk9_2(X1,X2)
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ in(X3,esk11_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    i_0_86 ).

cnf(c_0_160,plain,
    ( esk12_3(X1,X2,X3) = X3
    | esk10_2(X1,X2) != esk9_2(X1,X2)
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ in(X3,esk11_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    i_0_85 ).

cnf(c_0_161,plain,
    ( esk10_2(X1,X2) = esk8_2(X1,X2)
    | in(esk12_3(X1,X2,X3),powerset(the_carrier(X1)))
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ in(X3,esk11_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    i_0_94 ).

cnf(c_0_162,negated_conjecture,
    ( esk12_3(esk1_0,esk2_0,esk3_1(esk11_2(esk1_0,esk2_0))) = esk3_1(esk11_2(esk1_0,esk2_0))
    | esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0) ),
    inference(rw,[status(thm)],[c_0_155,c_0_148]) ).

cnf(c_0_163,negated_conjecture,
    ~ in(esk3_1(esk11_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_157])]),c_0_158]) ).

cnf(c_0_164,plain,
    ( in(X1,powerset(the_carrier(X2)))
    | esk10_2(X2,X3) != esk9_2(X2,X3)
    | ~ in(X1,esk11_2(X2,X3))
    | ~ element(X3,powerset(powerset(the_carrier(X2))))
    | ~ top_str(X2)
    | ~ topological_space(X2) ),
    inference(spm,[status(thm)],[c_0_159,c_0_160]) ).

cnf(c_0_165,negated_conjecture,
    esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0),
    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(spm,[status(thm)],[c_0_161,c_0_162]),c_0_148]),c_0_157]),c_0_124]),c_0_125]),c_0_126])]),c_0_163]) ).

cnf(c_0_166,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(spm,[status(thm)],[c_0_164,c_0_157]),c_0_165]),c_0_124]),c_0_125]),c_0_126])]),c_0_163]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU310+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n004.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 : Sat Jun 18 22:41:40 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 7.07/2.33  # ENIGMATIC: Solved by autoschedule:
% 7.07/2.33  # No SInE strategy applied
% 7.07/2.33  # Trying AutoSched0 for 150 seconds
% 7.07/2.33  # AutoSched0-Mode selected heuristic G_____0021_C18_F1_SE_CS_SP_S0Y
% 7.07/2.33  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.07/2.33  #
% 7.07/2.33  # Preprocessing time       : 0.013 s
% 7.07/2.33  
% 7.07/2.33  # Proof found!
% 7.07/2.33  # SZS status Theorem
% 7.07/2.33  # SZS output start CNFRefutation
% See solution above
% 7.07/2.33  # Training examples: 0 positive, 0 negative
% 7.07/2.33  
% 7.07/2.33  # -------------------------------------------------
% 7.07/2.33  # User time                : 0.029 s
% 7.07/2.33  # System time              : 0.005 s
% 7.07/2.33  # Total time               : 0.034 s
% 7.07/2.33  # Maximum resident set size: 7120 pages
% 7.07/2.33  
%------------------------------------------------------------------------------