%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU329+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n032.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 08:40:52 EDT 2022
% Result : Theorem 8.78s 2.57s
% Output : CNFRefutation 8.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 33
% Syntax : Number of clauses : 172 ( 15 unt; 128 nHn; 145 RR)
% Number of literals : 760 ( 269 equ; 400 neg)
% Maximal clause size : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 3 con; 0-6 aty)
% Number of variables : 458 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_139,plain,
( esk11_2(X1,X2) = esk12_2(X1,X2)
| in(X3,esk18_3(X1,X2,X4))
| element(esk22_6(X1,X2,X4,X3,X5,X6),powerset(the_carrier(X1)))
| X3 != X7
| ordered_pair(X5,X6) != X3
| ~ one_sorted_str(X1)
| ~ in(X5,complements_of_subsets(the_carrier(X1),X2))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X4)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_139) ).
cnf(i_0_138,plain,
( esk11_2(X1,X2) = esk12_2(X1,X2)
| esk22_6(X1,X2,X3,X4,X5,X6) = X5
| in(X4,esk18_3(X1,X2,X3))
| X4 != X7
| ordered_pair(X5,X6) != X4
| ~ one_sorted_str(X1)
| ~ in(X5,complements_of_subsets(the_carrier(X1),X2))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_138) ).
cnf(i_0_107,plain,
( esk13_2(X1,X2) = esk11_2(X1,X2)
| in(X3,esk18_3(X1,X2,X4))
| element(esk22_6(X1,X2,X4,X3,X5,X6),powerset(the_carrier(X1)))
| X3 != X7
| ordered_pair(X5,X6) != X3
| ~ one_sorted_str(X1)
| ~ in(X5,complements_of_subsets(the_carrier(X1),X2))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X4)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_107) ).
cnf(i_0_106,plain,
( esk13_2(X1,X2) = esk11_2(X1,X2)
| esk22_6(X1,X2,X3,X4,X5,X6) = X5
| in(X4,esk18_3(X1,X2,X3))
| X4 != X7
| ordered_pair(X5,X6) != X4
| ~ one_sorted_str(X1)
| ~ in(X5,complements_of_subsets(the_carrier(X1),X2))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_106) ).
cnf(i_0_8,negated_conjecture,
element(esk2_0,powerset(powerset(the_carrier(esk1_0)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_8) ).
cnf(i_0_9,negated_conjecture,
one_sorted_str(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_9) ).
cnf(i_0_2,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk6_1(X1),complements_of_subsets(the_carrier(esk1_0),esk2_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_2) ).
cnf(i_0_3,negated_conjecture,
( ordered_pair(esk6_1(X1),esk7_1(X1)) = esk4_1(X1)
| in(esk4_1(X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_3) ).
cnf(i_0_137,plain,
( esk11_2(X1,X2) = esk12_2(X1,X2)
| in(X3,esk18_3(X1,X2,X4))
| X3 != X5
| ordered_pair(X6,X7) != X3
| subset_complement(the_carrier(X1),esk22_6(X1,X2,X4,X3,X6,X7)) != X7
| ~ one_sorted_str(X1)
| ~ in(X6,complements_of_subsets(the_carrier(X1),X2))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X4)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_137) ).
cnf(i_0_105,plain,
( esk13_2(X1,X2) = esk11_2(X1,X2)
| in(X3,esk18_3(X1,X2,X4))
| X3 != X5
| ordered_pair(X6,X7) != X3
| subset_complement(the_carrier(X1),esk22_6(X1,X2,X4,X3,X6,X7)) != X7
| ~ one_sorted_str(X1)
| ~ in(X6,complements_of_subsets(the_carrier(X1),X2))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X4)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_105) ).
cnf(i_0_4,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk4_1(X1),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_4) ).
cnf(i_0_1,negated_conjecture,
( esk7_1(X1) = subset_complement(the_carrier(esk1_0),X2)
| in(esk4_1(X1),X1)
| X2 != esk6_1(X1)
| ~ element(X2,powerset(the_carrier(esk1_0))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_1) ).
cnf(i_0_144,plain,
( esk11_2(X1,X2) = esk12_2(X1,X2)
| in(esk19_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))
| ~ one_sorted_str(X1)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_144) ).
cnf(i_0_143,plain,
( esk19_4(X1,X2,X3,X4) = X4
| esk11_2(X1,X2) = esk12_2(X1,X2)
| ~ one_sorted_str(X1)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_143) ).
cnf(i_0_112,plain,
( esk13_2(X1,X2) = esk11_2(X1,X2)
| in(esk19_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))
| ~ one_sorted_str(X1)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_112) ).
cnf(i_0_111,plain,
( esk19_4(X1,X2,X3,X4) = X4
| esk13_2(X1,X2) = esk11_2(X1,X2)
| ~ one_sorted_str(X1)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_111) ).
cnf(i_0_142,plain,
( esk11_2(X1,X2) = esk12_2(X1,X2)
| ordered_pair(esk20_4(X1,X2,X3,X4),esk21_4(X1,X2,X3,X4)) = X4
| ~ one_sorted_str(X1)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_142) ).
cnf(i_0_141,plain,
( esk11_2(X1,X2) = esk12_2(X1,X2)
| in(esk20_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))
| ~ one_sorted_str(X1)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_141) ).
cnf(i_0_110,plain,
( esk13_2(X1,X2) = esk11_2(X1,X2)
| ordered_pair(esk20_4(X1,X2,X3,X4),esk21_4(X1,X2,X3,X4)) = X4
| ~ one_sorted_str(X1)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_110) ).
cnf(i_0_109,plain,
( esk13_2(X1,X2) = esk11_2(X1,X2)
| in(esk20_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))
| ~ one_sorted_str(X1)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_109) ).
cnf(i_0_7,negated_conjecture,
( element(esk5_3(X1,X2,X3),powerset(the_carrier(esk1_0)))
| ordered_pair(X2,X3) != esk4_1(X1)
| ~ in(esk4_1(X1),X1)
| ~ in(X2,complements_of_subsets(the_carrier(esk1_0),esk2_0))
| ~ in(esk4_1(X1),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_7) ).
cnf(i_0_6,negated_conjecture,
( esk5_3(X1,X2,X3) = X2
| ordered_pair(X2,X3) != esk4_1(X1)
| ~ in(esk4_1(X1),X1)
| ~ in(X2,complements_of_subsets(the_carrier(esk1_0),esk2_0))
| ~ in(esk4_1(X1),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_6) ).
cnf(i_0_140,plain,
( esk11_2(X1,X2) = esk12_2(X1,X2)
| esk21_4(X1,X2,X3,X4) = subset_complement(the_carrier(X1),X5)
| X5 != esk20_4(X1,X2,X3,X4)
| ~ one_sorted_str(X1)
| ~ element(X5,powerset(the_carrier(X1)))
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_140) ).
cnf(i_0_108,plain,
( esk13_2(X1,X2) = esk11_2(X1,X2)
| esk21_4(X1,X2,X3,X4) = subset_complement(the_carrier(X1),X5)
| X5 != esk20_4(X1,X2,X3,X4)
| ~ one_sorted_str(X1)
| ~ element(X5,powerset(the_carrier(X1)))
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_108) ).
cnf(i_0_5,negated_conjecture,
( ordered_pair(X1,X2) != esk4_1(X3)
| subset_complement(the_carrier(esk1_0),esk5_3(X3,X1,X2)) != X2
| ~ in(esk4_1(X3),X3)
| ~ in(X1,complements_of_subsets(the_carrier(esk1_0),esk2_0))
| ~ in(esk4_1(X3),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_5) ).
cnf(i_0_75,plain,
( in(X1,esk18_3(X2,X3,X4))
| element(esk22_6(X2,X3,X4,X1,X5,X6),powerset(the_carrier(X2)))
| X1 != X7
| ordered_pair(X5,X6) != X1
| esk13_2(X2,X3) != esk12_2(X2,X3)
| ~ one_sorted_str(X2)
| ~ in(X5,complements_of_subsets(the_carrier(X2),X3))
| ~ element(X3,powerset(powerset(the_carrier(X2))))
| ~ in(X7,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_75) ).
cnf(i_0_74,plain,
( esk22_6(X1,X2,X3,X4,X5,X6) = X5
| in(X4,esk18_3(X1,X2,X3))
| X4 != X7
| ordered_pair(X5,X6) != X4
| esk13_2(X1,X2) != esk12_2(X1,X2)
| ~ one_sorted_str(X1)
| ~ in(X5,complements_of_subsets(the_carrier(X1),X2))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_74) ).
cnf(i_0_73,plain,
( in(X1,esk18_3(X2,X3,X4))
| X1 != X5
| ordered_pair(X6,X7) != X1
| esk13_2(X2,X3) != esk12_2(X2,X3)
| subset_complement(the_carrier(X2),esk22_6(X2,X3,X4,X1,X6,X7)) != X7
| ~ one_sorted_str(X2)
| ~ in(X6,complements_of_subsets(the_carrier(X2),X3))
| ~ element(X3,powerset(powerset(the_carrier(X2))))
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_73) ).
cnf(i_0_80,plain,
( in(esk19_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))
| esk13_2(X1,X2) != esk12_2(X1,X2)
| ~ one_sorted_str(X1)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_80) ).
cnf(i_0_79,plain,
( esk19_4(X1,X2,X3,X4) = X4
| esk13_2(X1,X2) != esk12_2(X1,X2)
| ~ one_sorted_str(X1)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_79) ).
cnf(i_0_78,plain,
( ordered_pair(esk20_4(X1,X2,X3,X4),esk21_4(X1,X2,X3,X4)) = X4
| esk13_2(X1,X2) != esk12_2(X1,X2)
| ~ one_sorted_str(X1)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_78) ).
cnf(i_0_77,plain,
( in(esk20_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))
| esk13_2(X1,X2) != esk12_2(X1,X2)
| ~ one_sorted_str(X1)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_77) ).
cnf(i_0_76,plain,
( esk21_4(X1,X2,X3,X4) = subset_complement(the_carrier(X1),X5)
| X5 != esk20_4(X1,X2,X3,X4)
| esk13_2(X1,X2) != esk12_2(X1,X2)
| ~ one_sorted_str(X1)
| ~ element(X5,powerset(the_carrier(X1)))
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if86kjzt/lgb.p',i_0_76) ).
cnf(c_0_178,plain,
( esk11_2(X1,X2) = esk12_2(X1,X2)
| in(X3,esk18_3(X1,X2,X4))
| element(esk22_6(X1,X2,X4,X3,X5,X6),powerset(the_carrier(X1)))
| X3 != X7
| ordered_pair(X5,X6) != X3
| ~ one_sorted_str(X1)
| ~ in(X5,complements_of_subsets(the_carrier(X1),X2))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X4)) ),
i_0_139 ).
cnf(c_0_179,plain,
( esk11_2(X1,X2) = esk12_2(X1,X2)
| esk22_6(X1,X2,X3,X4,X5,X6) = X5
| in(X4,esk18_3(X1,X2,X3))
| X4 != X7
| ordered_pair(X5,X6) != X4
| ~ one_sorted_str(X1)
| ~ in(X5,complements_of_subsets(the_carrier(X1),X2))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)) ),
i_0_138 ).
cnf(c_0_180,plain,
( esk13_2(X1,X2) = esk11_2(X1,X2)
| in(X3,esk18_3(X1,X2,X4))
| element(esk22_6(X1,X2,X4,X3,X5,X6),powerset(the_carrier(X1)))
| X3 != X7
| ordered_pair(X5,X6) != X3
| ~ one_sorted_str(X1)
| ~ in(X5,complements_of_subsets(the_carrier(X1),X2))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X4)) ),
i_0_107 ).
cnf(c_0_181,plain,
( esk13_2(X1,X2) = esk11_2(X1,X2)
| esk22_6(X1,X2,X3,X4,X5,X6) = X5
| in(X4,esk18_3(X1,X2,X3))
| X4 != X7
| ordered_pair(X5,X6) != X4
| ~ one_sorted_str(X1)
| ~ in(X5,complements_of_subsets(the_carrier(X1),X2))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)) ),
i_0_106 ).
cnf(c_0_182,plain,
( esk12_2(X1,X2) = esk11_2(X1,X2)
| element(esk22_6(X1,X2,X3,ordered_pair(X4,X5),X4,X5),powerset(the_carrier(X1)))
| in(ordered_pair(X4,X5),esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1)
| ~ in(ordered_pair(X4,X5),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))
| ~ in(X4,complements_of_subsets(the_carrier(X1),X2)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_178])]) ).
cnf(c_0_183,negated_conjecture,
element(esk2_0,powerset(powerset(the_carrier(esk1_0)))),
i_0_8 ).
cnf(c_0_184,negated_conjecture,
one_sorted_str(esk1_0),
i_0_9 ).
cnf(c_0_185,plain,
( esk22_6(X1,X2,X3,ordered_pair(X4,X5),X4,X5) = X4
| esk12_2(X1,X2) = esk11_2(X1,X2)
| in(ordered_pair(X4,X5),esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1)
| ~ in(ordered_pair(X4,X5),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))
| ~ in(X4,complements_of_subsets(the_carrier(X1),X2)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_179])]) ).
cnf(c_0_186,plain,
( esk13_2(X1,X2) = esk11_2(X1,X2)
| element(esk22_6(X1,X2,X3,ordered_pair(X4,X5),X4,X5),powerset(the_carrier(X1)))
| in(ordered_pair(X4,X5),esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1)
| ~ in(ordered_pair(X4,X5),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))
| ~ in(X4,complements_of_subsets(the_carrier(X1),X2)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_180])]) ).
cnf(c_0_187,plain,
( esk22_6(X1,X2,X3,ordered_pair(X4,X5),X4,X5) = X4
| esk13_2(X1,X2) = esk11_2(X1,X2)
| in(ordered_pair(X4,X5),esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1)
| ~ in(ordered_pair(X4,X5),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))
| ~ in(X4,complements_of_subsets(the_carrier(X1),X2)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_181])]) ).
cnf(c_0_188,negated_conjecture,
( esk12_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| element(esk22_6(esk1_0,esk2_0,X1,ordered_pair(X2,X3),X2,X3),powerset(the_carrier(esk1_0)))
| in(ordered_pair(X2,X3),esk18_3(esk1_0,esk2_0,X1))
| ~ in(ordered_pair(X2,X3),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),X1))
| ~ in(X2,complements_of_subsets(the_carrier(esk1_0),esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_184])]) ).
cnf(c_0_189,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk6_1(X1),complements_of_subsets(the_carrier(esk1_0),esk2_0)) ),
i_0_2 ).
cnf(c_0_190,negated_conjecture,
( esk22_6(esk1_0,esk2_0,X1,ordered_pair(X2,X3),X2,X3) = X2
| esk12_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(ordered_pair(X2,X3),esk18_3(esk1_0,esk2_0,X1))
| ~ in(ordered_pair(X2,X3),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),X1))
| ~ in(X2,complements_of_subsets(the_carrier(esk1_0),esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_183]),c_0_184])]) ).
cnf(c_0_191,negated_conjecture,
( esk13_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| element(esk22_6(esk1_0,esk2_0,X1,ordered_pair(X2,X3),X2,X3),powerset(the_carrier(esk1_0)))
| in(ordered_pair(X2,X3),esk18_3(esk1_0,esk2_0,X1))
| ~ in(ordered_pair(X2,X3),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),X1))
| ~ in(X2,complements_of_subsets(the_carrier(esk1_0),esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_183]),c_0_184])]) ).
cnf(c_0_192,negated_conjecture,
( esk22_6(esk1_0,esk2_0,X1,ordered_pair(X2,X3),X2,X3) = X2
| esk13_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(ordered_pair(X2,X3),esk18_3(esk1_0,esk2_0,X1))
| ~ in(ordered_pair(X2,X3),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),X1))
| ~ in(X2,complements_of_subsets(the_carrier(esk1_0),esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_183]),c_0_184])]) ).
cnf(c_0_193,negated_conjecture,
( esk12_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| element(esk22_6(esk1_0,esk2_0,X1,ordered_pair(esk6_1(X2),X3),esk6_1(X2),X3),powerset(the_carrier(esk1_0)))
| in(ordered_pair(esk6_1(X2),X3),esk18_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| ~ in(ordered_pair(esk6_1(X2),X3),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),X1)) ),
inference(spm,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_194,negated_conjecture,
( ordered_pair(esk6_1(X1),esk7_1(X1)) = esk4_1(X1)
| in(esk4_1(X1),X1) ),
i_0_3 ).
cnf(c_0_195,negated_conjecture,
( esk22_6(esk1_0,esk2_0,X1,ordered_pair(esk6_1(X2),X3),esk6_1(X2),X3) = esk6_1(X2)
| esk12_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(ordered_pair(esk6_1(X2),X3),esk18_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| ~ in(ordered_pair(esk6_1(X2),X3),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),X1)) ),
inference(spm,[status(thm)],[c_0_190,c_0_189]) ).
cnf(c_0_196,plain,
( esk11_2(X1,X2) = esk12_2(X1,X2)
| in(X3,esk18_3(X1,X2,X4))
| X3 != X5
| ordered_pair(X6,X7) != X3
| subset_complement(the_carrier(X1),esk22_6(X1,X2,X4,X3,X6,X7)) != X7
| ~ one_sorted_str(X1)
| ~ in(X6,complements_of_subsets(the_carrier(X1),X2))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X4)) ),
i_0_137 ).
cnf(c_0_197,negated_conjecture,
( esk13_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| element(esk22_6(esk1_0,esk2_0,X1,ordered_pair(esk6_1(X2),X3),esk6_1(X2),X3),powerset(the_carrier(esk1_0)))
| in(ordered_pair(esk6_1(X2),X3),esk18_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| ~ in(ordered_pair(esk6_1(X2),X3),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),X1)) ),
inference(spm,[status(thm)],[c_0_191,c_0_189]) ).
cnf(c_0_198,negated_conjecture,
( esk22_6(esk1_0,esk2_0,X1,ordered_pair(esk6_1(X2),X3),esk6_1(X2),X3) = esk6_1(X2)
| esk13_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(ordered_pair(esk6_1(X2),X3),esk18_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| ~ in(ordered_pair(esk6_1(X2),X3),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),X1)) ),
inference(spm,[status(thm)],[c_0_192,c_0_189]) ).
cnf(c_0_199,plain,
( esk13_2(X1,X2) = esk11_2(X1,X2)
| in(X3,esk18_3(X1,X2,X4))
| X3 != X5
| ordered_pair(X6,X7) != X3
| subset_complement(the_carrier(X1),esk22_6(X1,X2,X4,X3,X6,X7)) != X7
| ~ one_sorted_str(X1)
| ~ in(X6,complements_of_subsets(the_carrier(X1),X2))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X4)) ),
i_0_105 ).
cnf(c_0_200,negated_conjecture,
( esk12_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| element(esk22_6(esk1_0,esk2_0,X1,esk4_1(X2),esk6_1(X2),esk7_1(X2)),powerset(the_carrier(esk1_0)))
| in(esk4_1(X2),esk18_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| ~ in(esk4_1(X2),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),X1)) ),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_201,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk4_1(X1),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0)) ),
i_0_4 ).
cnf(c_0_202,negated_conjecture,
( esk22_6(esk1_0,esk2_0,X1,esk4_1(X2),esk6_1(X2),esk7_1(X2)) = esk6_1(X2)
| esk12_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk4_1(X2),esk18_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| ~ in(esk4_1(X2),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),X1)) ),
inference(spm,[status(thm)],[c_0_195,c_0_194]) ).
cnf(c_0_203,plain,
( esk12_2(X1,X2) = esk11_2(X1,X2)
| in(ordered_pair(X3,X4),esk18_3(X1,X2,X5))
| subset_complement(the_carrier(X1),esk22_6(X1,X2,X5,ordered_pair(X3,X4),X3,X4)) != X4
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1)
| ~ in(ordered_pair(X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5))
| ~ in(X3,complements_of_subsets(the_carrier(X1),X2)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_196])]) ).
cnf(c_0_204,negated_conjecture,
( esk13_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| element(esk22_6(esk1_0,esk2_0,X1,esk4_1(X2),esk6_1(X2),esk7_1(X2)),powerset(the_carrier(esk1_0)))
| in(esk4_1(X2),esk18_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| ~ in(esk4_1(X2),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),X1)) ),
inference(spm,[status(thm)],[c_0_197,c_0_194]) ).
cnf(c_0_205,negated_conjecture,
( esk22_6(esk1_0,esk2_0,X1,esk4_1(X2),esk6_1(X2),esk7_1(X2)) = esk6_1(X2)
| esk13_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk4_1(X2),esk18_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| ~ in(esk4_1(X2),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),X1)) ),
inference(spm,[status(thm)],[c_0_198,c_0_194]) ).
cnf(c_0_206,plain,
( esk13_2(X1,X2) = esk11_2(X1,X2)
| in(ordered_pair(X3,X4),esk18_3(X1,X2,X5))
| subset_complement(the_carrier(X1),esk22_6(X1,X2,X5,ordered_pair(X3,X4),X3,X4)) != X4
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1)
| ~ in(ordered_pair(X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5))
| ~ in(X3,complements_of_subsets(the_carrier(X1),X2)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_199])]) ).
cnf(c_0_207,negated_conjecture,
( esk7_1(X1) = subset_complement(the_carrier(esk1_0),X2)
| in(esk4_1(X1),X1)
| X2 != esk6_1(X1)
| ~ element(X2,powerset(the_carrier(esk1_0))) ),
i_0_1 ).
cnf(c_0_208,negated_conjecture,
( esk12_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| element(esk22_6(esk1_0,esk2_0,esk3_0,esk4_1(X1),esk6_1(X1),esk7_1(X1)),powerset(the_carrier(esk1_0)))
| in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_200,c_0_201]) ).
cnf(c_0_209,negated_conjecture,
( esk22_6(esk1_0,esk2_0,esk3_0,esk4_1(X1),esk6_1(X1),esk7_1(X1)) = esk6_1(X1)
| esk12_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_202,c_0_201]) ).
cnf(c_0_210,negated_conjecture,
( esk12_2(X1,X2) = esk11_2(X1,X2)
| in(esk4_1(X3),esk18_3(X1,X2,X4))
| in(esk4_1(X3),X3)
| subset_complement(the_carrier(X1),esk22_6(X1,X2,X4,esk4_1(X3),esk6_1(X3),esk7_1(X3))) != esk7_1(X3)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1)
| ~ in(esk4_1(X3),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X4))
| ~ in(esk6_1(X3),complements_of_subsets(the_carrier(X1),X2)) ),
inference(spm,[status(thm)],[c_0_203,c_0_194]) ).
cnf(c_0_211,negated_conjecture,
( esk13_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| element(esk22_6(esk1_0,esk2_0,esk3_0,esk4_1(X1),esk6_1(X1),esk7_1(X1)),powerset(the_carrier(esk1_0)))
| in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_204,c_0_201]) ).
cnf(c_0_212,negated_conjecture,
( esk22_6(esk1_0,esk2_0,esk3_0,esk4_1(X1),esk6_1(X1),esk7_1(X1)) = esk6_1(X1)
| esk13_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_205,c_0_201]) ).
cnf(c_0_213,negated_conjecture,
( esk13_2(X1,X2) = esk11_2(X1,X2)
| in(esk4_1(X3),esk18_3(X1,X2,X4))
| in(esk4_1(X3),X3)
| subset_complement(the_carrier(X1),esk22_6(X1,X2,X4,esk4_1(X3),esk6_1(X3),esk7_1(X3))) != esk7_1(X3)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1)
| ~ in(esk4_1(X3),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X4))
| ~ in(esk6_1(X3),complements_of_subsets(the_carrier(X1),X2)) ),
inference(spm,[status(thm)],[c_0_206,c_0_194]) ).
cnf(c_0_214,negated_conjecture,
( esk7_1(X1) = subset_complement(the_carrier(esk1_0),esk6_1(X1))
| in(esk4_1(X1),X1)
| ~ element(esk6_1(X1),powerset(the_carrier(esk1_0))) ),
inference(er,[status(thm)],[c_0_207]) ).
cnf(c_0_215,negated_conjecture,
( esk12_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| element(esk6_1(X1),powerset(the_carrier(esk1_0)))
| in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_216,negated_conjecture,
( esk12_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| esk7_1(X1) != subset_complement(the_carrier(esk1_0),esk6_1(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_209]),c_0_183]),c_0_184])]),c_0_189]),c_0_201]) ).
cnf(c_0_217,plain,
( esk11_2(X1,X2) = esk12_2(X1,X2)
| in(esk19_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))
| ~ one_sorted_str(X1)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
i_0_144 ).
cnf(c_0_218,plain,
( esk19_4(X1,X2,X3,X4) = X4
| esk11_2(X1,X2) = esk12_2(X1,X2)
| ~ one_sorted_str(X1)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
i_0_143 ).
cnf(c_0_219,negated_conjecture,
( esk13_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| element(esk6_1(X1),powerset(the_carrier(esk1_0)))
| in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_220,negated_conjecture,
( esk13_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| esk7_1(X1) != subset_complement(the_carrier(esk1_0),esk6_1(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_212]),c_0_183]),c_0_184])]),c_0_189]),c_0_201]) ).
cnf(c_0_221,plain,
( esk13_2(X1,X2) = esk11_2(X1,X2)
| in(esk19_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))
| ~ one_sorted_str(X1)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
i_0_112 ).
cnf(c_0_222,plain,
( esk19_4(X1,X2,X3,X4) = X4
| esk13_2(X1,X2) = esk11_2(X1,X2)
| ~ one_sorted_str(X1)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
i_0_111 ).
cnf(c_0_223,plain,
( esk11_2(X1,X2) = esk12_2(X1,X2)
| ordered_pair(esk20_4(X1,X2,X3,X4),esk21_4(X1,X2,X3,X4)) = X4
| ~ one_sorted_str(X1)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
i_0_142 ).
cnf(c_0_224,negated_conjecture,
( esk12_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_216]) ).
cnf(c_0_225,plain,
( esk11_2(X1,X2) = esk12_2(X1,X2)
| in(esk20_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))
| ~ one_sorted_str(X1)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
i_0_141 ).
cnf(c_0_226,negated_conjecture,
( esk12_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk19_4(esk1_0,esk2_0,X1,X2),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),X1))
| ~ in(X2,esk18_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_183]),c_0_184])]) ).
cnf(c_0_227,negated_conjecture,
( esk12_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| esk19_4(esk1_0,esk2_0,X1,X2) = X2
| ~ in(X2,esk18_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_183]),c_0_184])]) ).
cnf(c_0_228,plain,
( esk13_2(X1,X2) = esk11_2(X1,X2)
| ordered_pair(esk20_4(X1,X2,X3,X4),esk21_4(X1,X2,X3,X4)) = X4
| ~ one_sorted_str(X1)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
i_0_110 ).
cnf(c_0_229,negated_conjecture,
( esk13_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_219]),c_0_220]) ).
cnf(c_0_230,plain,
( esk13_2(X1,X2) = esk11_2(X1,X2)
| in(esk20_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))
| ~ one_sorted_str(X1)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
i_0_109 ).
cnf(c_0_231,negated_conjecture,
( esk13_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk19_4(esk1_0,esk2_0,X1,X2),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),X1))
| ~ in(X2,esk18_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_183]),c_0_184])]) ).
cnf(c_0_232,negated_conjecture,
( esk13_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| esk19_4(esk1_0,esk2_0,X1,X2) = X2
| ~ in(X2,esk18_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_183]),c_0_184])]) ).
cnf(c_0_233,negated_conjecture,
( ordered_pair(esk20_4(esk1_0,esk2_0,X1,X2),esk21_4(esk1_0,esk2_0,X1,X2)) = X2
| esk12_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| ~ in(X2,esk18_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_183]),c_0_184])]) ).
cnf(c_0_234,negated_conjecture,
( esk12_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),esk18_3(esk1_0,esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_224]) ).
cnf(c_0_235,negated_conjecture,
( esk12_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk20_4(esk1_0,esk2_0,X1,X2),complements_of_subsets(the_carrier(esk1_0),esk2_0))
| ~ in(X2,esk18_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_183]),c_0_184])]) ).
cnf(c_0_236,negated_conjecture,
( esk12_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk19_4(esk1_0,esk2_0,X1,esk4_1(esk18_3(esk1_0,esk2_0,X1))),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),X1))
| in(esk4_1(esk18_3(esk1_0,esk2_0,X1)),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0)) ),
inference(spm,[status(thm)],[c_0_226,c_0_201]) ).
cnf(c_0_237,negated_conjecture,
( esk19_4(esk1_0,esk2_0,X1,esk4_1(esk18_3(esk1_0,esk2_0,X1))) = esk4_1(esk18_3(esk1_0,esk2_0,X1))
| esk12_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk4_1(esk18_3(esk1_0,esk2_0,X1)),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0)) ),
inference(spm,[status(thm)],[c_0_227,c_0_201]) ).
cnf(c_0_238,negated_conjecture,
( ordered_pair(esk20_4(esk1_0,esk2_0,X1,X2),esk21_4(esk1_0,esk2_0,X1,X2)) = X2
| esk13_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| ~ in(X2,esk18_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_183]),c_0_184])]) ).
cnf(c_0_239,negated_conjecture,
( esk13_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),esk18_3(esk1_0,esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_229]) ).
cnf(c_0_240,negated_conjecture,
( esk13_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk20_4(esk1_0,esk2_0,X1,X2),complements_of_subsets(the_carrier(esk1_0),esk2_0))
| ~ in(X2,esk18_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_183]),c_0_184])]) ).
cnf(c_0_241,negated_conjecture,
( esk13_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk19_4(esk1_0,esk2_0,X1,esk4_1(esk18_3(esk1_0,esk2_0,X1))),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),X1))
| in(esk4_1(esk18_3(esk1_0,esk2_0,X1)),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0)) ),
inference(spm,[status(thm)],[c_0_231,c_0_201]) ).
cnf(c_0_242,negated_conjecture,
( esk19_4(esk1_0,esk2_0,X1,esk4_1(esk18_3(esk1_0,esk2_0,X1))) = esk4_1(esk18_3(esk1_0,esk2_0,X1))
| esk13_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk4_1(esk18_3(esk1_0,esk2_0,X1)),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0)) ),
inference(spm,[status(thm)],[c_0_232,c_0_201]) ).
cnf(c_0_243,negated_conjecture,
( element(esk5_3(X1,X2,X3),powerset(the_carrier(esk1_0)))
| ordered_pair(X2,X3) != esk4_1(X1)
| ~ in(esk4_1(X1),X1)
| ~ in(X2,complements_of_subsets(the_carrier(esk1_0),esk2_0))
| ~ in(esk4_1(X1),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0)) ),
i_0_7 ).
cnf(c_0_244,negated_conjecture,
( ordered_pair(esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))) = esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| esk12_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_245,negated_conjecture,
( esk12_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),complements_of_subsets(the_carrier(esk1_0),esk2_0)) ),
inference(spm,[status(thm)],[c_0_235,c_0_234]) ).
cnf(c_0_246,negated_conjecture,
( esk12_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk4_1(esk18_3(esk1_0,esk2_0,X1)),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0))
| in(esk4_1(esk18_3(esk1_0,esk2_0,X1)),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),X1)) ),
inference(spm,[status(thm)],[c_0_236,c_0_237]) ).
cnf(c_0_247,negated_conjecture,
( esk5_3(X1,X2,X3) = X2
| ordered_pair(X2,X3) != esk4_1(X1)
| ~ in(esk4_1(X1),X1)
| ~ in(X2,complements_of_subsets(the_carrier(esk1_0),esk2_0))
| ~ in(esk4_1(X1),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0)) ),
i_0_6 ).
cnf(c_0_248,negated_conjecture,
( ordered_pair(esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))) = esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| esk13_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_238,c_0_239]) ).
cnf(c_0_249,negated_conjecture,
( esk13_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),complements_of_subsets(the_carrier(esk1_0),esk2_0)) ),
inference(spm,[status(thm)],[c_0_240,c_0_239]) ).
cnf(c_0_250,negated_conjecture,
( esk13_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk4_1(esk18_3(esk1_0,esk2_0,X1)),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0))
| in(esk4_1(esk18_3(esk1_0,esk2_0,X1)),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),X1)) ),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_251,plain,
( esk11_2(X1,X2) = esk12_2(X1,X2)
| esk21_4(X1,X2,X3,X4) = subset_complement(the_carrier(X1),X5)
| X5 != esk20_4(X1,X2,X3,X4)
| ~ one_sorted_str(X1)
| ~ element(X5,powerset(the_carrier(X1)))
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
i_0_140 ).
cnf(c_0_252,negated_conjecture,
( esk12_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| element(esk5_3(X1,esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))),powerset(the_carrier(esk1_0)))
| esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)) != esk4_1(X1)
| ~ in(esk4_1(X1),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0))
| ~ in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_245]) ).
cnf(c_0_253,negated_conjecture,
( esk12_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0)) ),
inference(ef,[status(thm)],[c_0_246]) ).
cnf(c_0_254,negated_conjecture,
( esk5_3(X1,esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))) = esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))
| esk12_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)) != esk4_1(X1)
| ~ in(esk4_1(X1),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0))
| ~ in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_244]),c_0_245]) ).
cnf(c_0_255,plain,
( esk13_2(X1,X2) = esk11_2(X1,X2)
| esk21_4(X1,X2,X3,X4) = subset_complement(the_carrier(X1),X5)
| X5 != esk20_4(X1,X2,X3,X4)
| ~ one_sorted_str(X1)
| ~ element(X5,powerset(the_carrier(X1)))
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
i_0_108 ).
cnf(c_0_256,negated_conjecture,
( esk13_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| element(esk5_3(X1,esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))),powerset(the_carrier(esk1_0)))
| esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)) != esk4_1(X1)
| ~ in(esk4_1(X1),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0))
| ~ in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_248]),c_0_249]) ).
cnf(c_0_257,negated_conjecture,
( esk13_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0)) ),
inference(ef,[status(thm)],[c_0_250]) ).
cnf(c_0_258,negated_conjecture,
( esk5_3(X1,esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))) = esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))
| esk13_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)) != esk4_1(X1)
| ~ in(esk4_1(X1),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0))
| ~ in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_249]) ).
cnf(c_0_259,plain,
( esk21_4(X1,X2,X3,X4) = subset_complement(the_carrier(X1),esk20_4(X1,X2,X3,X4))
| esk12_2(X1,X2) = esk11_2(X1,X2)
| ~ element(esk20_4(X1,X2,X3,X4),powerset(the_carrier(X1)))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1)
| ~ in(X4,esk18_3(X1,X2,X3)) ),
inference(er,[status(thm)],[c_0_251]) ).
cnf(c_0_260,negated_conjecture,
( esk12_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| element(esk5_3(esk18_3(esk1_0,esk2_0,esk3_0),esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))),powerset(the_carrier(esk1_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_252]),c_0_234]),c_0_253]) ).
cnf(c_0_261,negated_conjecture,
( esk5_3(esk18_3(esk1_0,esk2_0,esk3_0),esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))) = esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))
| esk12_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_254]),c_0_234]),c_0_253]) ).
cnf(c_0_262,negated_conjecture,
( ordered_pair(X1,X2) != esk4_1(X3)
| subset_complement(the_carrier(esk1_0),esk5_3(X3,X1,X2)) != X2
| ~ in(esk4_1(X3),X3)
| ~ in(X1,complements_of_subsets(the_carrier(esk1_0),esk2_0))
| ~ in(esk4_1(X3),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0)) ),
i_0_5 ).
cnf(c_0_263,plain,
( esk21_4(X1,X2,X3,X4) = subset_complement(the_carrier(X1),esk20_4(X1,X2,X3,X4))
| esk13_2(X1,X2) = esk11_2(X1,X2)
| ~ element(esk20_4(X1,X2,X3,X4),powerset(the_carrier(X1)))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1)
| ~ in(X4,esk18_3(X1,X2,X3)) ),
inference(er,[status(thm)],[c_0_255]) ).
cnf(c_0_264,negated_conjecture,
( esk13_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| element(esk5_3(esk18_3(esk1_0,esk2_0,esk3_0),esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))),powerset(the_carrier(esk1_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_256]),c_0_239]),c_0_257]) ).
cnf(c_0_265,negated_conjecture,
( esk5_3(esk18_3(esk1_0,esk2_0,esk3_0),esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))) = esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))
| esk13_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_258]),c_0_239]),c_0_257]) ).
cnf(c_0_266,plain,
( in(X1,esk18_3(X2,X3,X4))
| element(esk22_6(X2,X3,X4,X1,X5,X6),powerset(the_carrier(X2)))
| X1 != X7
| ordered_pair(X5,X6) != X1
| esk13_2(X2,X3) != esk12_2(X2,X3)
| ~ one_sorted_str(X2)
| ~ in(X5,complements_of_subsets(the_carrier(X2),X3))
| ~ element(X3,powerset(powerset(the_carrier(X2))))
| ~ in(X7,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4)) ),
i_0_75 ).
cnf(c_0_267,negated_conjecture,
( esk21_4(esk1_0,esk2_0,X1,X2) = subset_complement(the_carrier(esk1_0),esk20_4(esk1_0,esk2_0,X1,X2))
| esk12_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| ~ element(esk20_4(esk1_0,esk2_0,X1,X2),powerset(the_carrier(esk1_0)))
| ~ in(X2,esk18_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_183]),c_0_184])]) ).
cnf(c_0_268,negated_conjecture,
( esk12_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| element(esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_260,c_0_261]) ).
cnf(c_0_269,negated_conjecture,
( esk12_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))) != subset_complement(the_carrier(esk1_0),esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_261]),c_0_234]),c_0_253]),c_0_245]),c_0_244]) ).
cnf(c_0_270,negated_conjecture,
( esk21_4(esk1_0,esk2_0,X1,X2) = subset_complement(the_carrier(esk1_0),esk20_4(esk1_0,esk2_0,X1,X2))
| esk13_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| ~ element(esk20_4(esk1_0,esk2_0,X1,X2),powerset(the_carrier(esk1_0)))
| ~ in(X2,esk18_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_183]),c_0_184])]) ).
cnf(c_0_271,negated_conjecture,
( esk13_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| element(esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_264,c_0_265]) ).
cnf(c_0_272,negated_conjecture,
( esk13_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))) != subset_complement(the_carrier(esk1_0),esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_265]),c_0_239]),c_0_257]),c_0_249]),c_0_248]) ).
cnf(c_0_273,plain,
( esk22_6(X1,X2,X3,X4,X5,X6) = X5
| in(X4,esk18_3(X1,X2,X3))
| X4 != X7
| ordered_pair(X5,X6) != X4
| esk13_2(X1,X2) != esk12_2(X1,X2)
| ~ one_sorted_str(X1)
| ~ in(X5,complements_of_subsets(the_carrier(X1),X2))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)) ),
i_0_74 ).
cnf(c_0_274,plain,
( element(esk22_6(X1,X2,X3,ordered_pair(X4,X5),X4,X5),powerset(the_carrier(X1)))
| in(ordered_pair(X4,X5),esk18_3(X1,X2,X3))
| esk12_2(X1,X2) != esk13_2(X1,X2)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1)
| ~ in(ordered_pair(X4,X5),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))
| ~ in(X4,complements_of_subsets(the_carrier(X1),X2)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_266])]) ).
cnf(c_0_275,negated_conjecture,
esk12_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_234]),c_0_269]) ).
cnf(c_0_276,negated_conjecture,
esk13_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_239]),c_0_272]) ).
cnf(c_0_277,plain,
( esk22_6(X1,X2,X3,ordered_pair(X4,X5),X4,X5) = X4
| in(ordered_pair(X4,X5),esk18_3(X1,X2,X3))
| esk12_2(X1,X2) != esk13_2(X1,X2)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1)
| ~ in(ordered_pair(X4,X5),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))
| ~ in(X4,complements_of_subsets(the_carrier(X1),X2)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_273])]) ).
cnf(c_0_278,plain,
( element(esk22_6(esk1_0,esk2_0,X1,ordered_pair(X2,X3),X2,X3),powerset(the_carrier(esk1_0)))
| in(ordered_pair(X2,X3),esk18_3(esk1_0,esk2_0,X1))
| ~ in(ordered_pair(X2,X3),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),X1))
| ~ in(X2,complements_of_subsets(the_carrier(esk1_0),esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_275]),c_0_276]),c_0_183]),c_0_184])]) ).
cnf(c_0_279,plain,
( esk22_6(esk1_0,esk2_0,X1,ordered_pair(X2,X3),X2,X3) = X2
| in(ordered_pair(X2,X3),esk18_3(esk1_0,esk2_0,X1))
| ~ in(ordered_pair(X2,X3),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),X1))
| ~ in(X2,complements_of_subsets(the_carrier(esk1_0),esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_275]),c_0_276]),c_0_183]),c_0_184])]) ).
cnf(c_0_280,negated_conjecture,
( element(esk22_6(esk1_0,esk2_0,X1,ordered_pair(esk6_1(X2),X3),esk6_1(X2),X3),powerset(the_carrier(esk1_0)))
| in(ordered_pair(esk6_1(X2),X3),esk18_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| ~ in(ordered_pair(esk6_1(X2),X3),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),X1)) ),
inference(spm,[status(thm)],[c_0_278,c_0_189]) ).
cnf(c_0_281,negated_conjecture,
( esk22_6(esk1_0,esk2_0,X1,ordered_pair(esk6_1(X2),X3),esk6_1(X2),X3) = esk6_1(X2)
| in(ordered_pair(esk6_1(X2),X3),esk18_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| ~ in(ordered_pair(esk6_1(X2),X3),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),X1)) ),
inference(spm,[status(thm)],[c_0_279,c_0_189]) ).
cnf(c_0_282,plain,
( in(X1,esk18_3(X2,X3,X4))
| X1 != X5
| ordered_pair(X6,X7) != X1
| esk13_2(X2,X3) != esk12_2(X2,X3)
| subset_complement(the_carrier(X2),esk22_6(X2,X3,X4,X1,X6,X7)) != X7
| ~ one_sorted_str(X2)
| ~ in(X6,complements_of_subsets(the_carrier(X2),X3))
| ~ element(X3,powerset(powerset(the_carrier(X2))))
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4)) ),
i_0_73 ).
cnf(c_0_283,negated_conjecture,
( element(esk22_6(esk1_0,esk2_0,X1,esk4_1(X2),esk6_1(X2),esk7_1(X2)),powerset(the_carrier(esk1_0)))
| in(esk4_1(X2),esk18_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| ~ in(esk4_1(X2),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),X1)) ),
inference(spm,[status(thm)],[c_0_280,c_0_194]) ).
cnf(c_0_284,negated_conjecture,
( esk22_6(esk1_0,esk2_0,X1,esk4_1(X2),esk6_1(X2),esk7_1(X2)) = esk6_1(X2)
| in(esk4_1(X2),esk18_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| ~ in(esk4_1(X2),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),X1)) ),
inference(spm,[status(thm)],[c_0_281,c_0_194]) ).
cnf(c_0_285,plain,
( in(ordered_pair(X1,X2),esk18_3(X3,X4,X5))
| subset_complement(the_carrier(X3),esk22_6(X3,X4,X5,ordered_pair(X1,X2),X1,X2)) != X2
| esk12_2(X3,X4) != esk13_2(X3,X4)
| ~ element(X4,powerset(powerset(the_carrier(X3))))
| ~ one_sorted_str(X3)
| ~ in(ordered_pair(X1,X2),cartesian_product2(complements_of_subsets(the_carrier(X3),X4),X5))
| ~ in(X1,complements_of_subsets(the_carrier(X3),X4)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_282])]) ).
cnf(c_0_286,negated_conjecture,
( element(esk22_6(esk1_0,esk2_0,esk3_0,esk4_1(X1),esk6_1(X1),esk7_1(X1)),powerset(the_carrier(esk1_0)))
| in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_283,c_0_201]) ).
cnf(c_0_287,negated_conjecture,
( esk22_6(esk1_0,esk2_0,esk3_0,esk4_1(X1),esk6_1(X1),esk7_1(X1)) = esk6_1(X1)
| in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_284,c_0_201]) ).
cnf(c_0_288,negated_conjecture,
( in(esk4_1(X1),esk18_3(X2,X3,X4))
| in(esk4_1(X1),X1)
| subset_complement(the_carrier(X2),esk22_6(X2,X3,X4,esk4_1(X1),esk6_1(X1),esk7_1(X1))) != esk7_1(X1)
| esk12_2(X2,X3) != esk13_2(X2,X3)
| ~ element(X3,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| ~ in(esk4_1(X1),cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4))
| ~ in(esk6_1(X1),complements_of_subsets(the_carrier(X2),X3)) ),
inference(spm,[status(thm)],[c_0_285,c_0_194]) ).
cnf(c_0_289,negated_conjecture,
( element(esk6_1(X1),powerset(the_carrier(esk1_0)))
| in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_286,c_0_287]) ).
cnf(c_0_290,negated_conjecture,
( in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| esk7_1(X1) != subset_complement(the_carrier(esk1_0),esk6_1(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_288,c_0_287]),c_0_275]),c_0_276]),c_0_183]),c_0_184])]),c_0_189]),c_0_201]) ).
cnf(c_0_291,plain,
( in(esk19_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))
| esk13_2(X1,X2) != esk12_2(X1,X2)
| ~ one_sorted_str(X1)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
i_0_80 ).
cnf(c_0_292,plain,
( esk19_4(X1,X2,X3,X4) = X4
| esk13_2(X1,X2) != esk12_2(X1,X2)
| ~ one_sorted_str(X1)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
i_0_79 ).
cnf(c_0_293,plain,
( ordered_pair(esk20_4(X1,X2,X3,X4),esk21_4(X1,X2,X3,X4)) = X4
| esk13_2(X1,X2) != esk12_2(X1,X2)
| ~ one_sorted_str(X1)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
i_0_78 ).
cnf(c_0_294,negated_conjecture,
( in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_289]),c_0_290]) ).
cnf(c_0_295,plain,
( in(esk20_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))
| esk13_2(X1,X2) != esk12_2(X1,X2)
| ~ one_sorted_str(X1)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
i_0_77 ).
cnf(c_0_296,plain,
( in(esk19_4(esk1_0,esk2_0,X1,X2),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),X1))
| ~ in(X2,esk18_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_275]),c_0_276]),c_0_183]),c_0_184])]) ).
cnf(c_0_297,plain,
( esk19_4(esk1_0,esk2_0,X1,X2) = X2
| ~ in(X2,esk18_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_275]),c_0_276]),c_0_183]),c_0_184])]) ).
cnf(c_0_298,plain,
( ordered_pair(esk20_4(esk1_0,esk2_0,X1,X2),esk21_4(esk1_0,esk2_0,X1,X2)) = X2
| ~ in(X2,esk18_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_275]),c_0_276]),c_0_183]),c_0_184])]) ).
cnf(c_0_299,negated_conjecture,
in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),esk18_3(esk1_0,esk2_0,esk3_0)),
inference(ef,[status(thm)],[c_0_294]) ).
cnf(c_0_300,plain,
( in(esk20_4(esk1_0,esk2_0,X1,X2),complements_of_subsets(the_carrier(esk1_0),esk2_0))
| ~ in(X2,esk18_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_275]),c_0_276]),c_0_183]),c_0_184])]) ).
cnf(c_0_301,negated_conjecture,
( in(esk19_4(esk1_0,esk2_0,X1,esk4_1(esk18_3(esk1_0,esk2_0,X1))),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),X1))
| in(esk4_1(esk18_3(esk1_0,esk2_0,X1)),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0)) ),
inference(spm,[status(thm)],[c_0_296,c_0_201]) ).
cnf(c_0_302,negated_conjecture,
( esk19_4(esk1_0,esk2_0,X1,esk4_1(esk18_3(esk1_0,esk2_0,X1))) = esk4_1(esk18_3(esk1_0,esk2_0,X1))
| in(esk4_1(esk18_3(esk1_0,esk2_0,X1)),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0)) ),
inference(spm,[status(thm)],[c_0_297,c_0_201]) ).
cnf(c_0_303,plain,
ordered_pair(esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))) = esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_298,c_0_299]) ).
cnf(c_0_304,plain,
in(esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),complements_of_subsets(the_carrier(esk1_0),esk2_0)),
inference(spm,[status(thm)],[c_0_300,c_0_299]) ).
cnf(c_0_305,negated_conjecture,
( in(esk4_1(esk18_3(esk1_0,esk2_0,X1)),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0))
| in(esk4_1(esk18_3(esk1_0,esk2_0,X1)),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),X1)) ),
inference(spm,[status(thm)],[c_0_301,c_0_302]) ).
cnf(c_0_306,plain,
( esk21_4(X1,X2,X3,X4) = subset_complement(the_carrier(X1),X5)
| X5 != esk20_4(X1,X2,X3,X4)
| esk13_2(X1,X2) != esk12_2(X1,X2)
| ~ one_sorted_str(X1)
| ~ element(X5,powerset(the_carrier(X1)))
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
i_0_76 ).
cnf(c_0_307,negated_conjecture,
( element(esk5_3(X1,esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))),powerset(the_carrier(esk1_0)))
| esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)) != esk4_1(X1)
| ~ in(esk4_1(X1),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0))
| ~ in(esk4_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_303]),c_0_304])]) ).
cnf(c_0_308,negated_conjecture,
in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0)),
inference(ef,[status(thm)],[c_0_305]) ).
cnf(c_0_309,negated_conjecture,
( esk5_3(X1,esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))) = esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))
| esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)) != esk4_1(X1)
| ~ in(esk4_1(X1),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0))
| ~ in(esk4_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_303]),c_0_304])]) ).
cnf(c_0_310,plain,
( esk21_4(X1,X2,X3,X4) = subset_complement(the_carrier(X1),esk20_4(X1,X2,X3,X4))
| esk12_2(X1,X2) != esk13_2(X1,X2)
| ~ element(esk20_4(X1,X2,X3,X4),powerset(the_carrier(X1)))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1)
| ~ in(X4,esk18_3(X1,X2,X3)) ),
inference(er,[status(thm)],[c_0_306]) ).
cnf(c_0_311,negated_conjecture,
element(esk5_3(esk18_3(esk1_0,esk2_0,esk3_0),esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))),powerset(the_carrier(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_307]),c_0_308]),c_0_299])]) ).
cnf(c_0_312,negated_conjecture,
esk5_3(esk18_3(esk1_0,esk2_0,esk3_0),esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))) = esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_309]),c_0_308]),c_0_299])]) ).
cnf(c_0_313,plain,
( esk21_4(esk1_0,esk2_0,X1,X2) = subset_complement(the_carrier(esk1_0),esk20_4(esk1_0,esk2_0,X1,X2))
| ~ element(esk20_4(esk1_0,esk2_0,X1,X2),powerset(the_carrier(esk1_0)))
| ~ in(X2,esk18_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_275]),c_0_276]),c_0_183]),c_0_184])]) ).
cnf(c_0_314,negated_conjecture,
element(esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),powerset(the_carrier(esk1_0))),
inference(rw,[status(thm)],[c_0_311,c_0_312]) ).
cnf(c_0_315,negated_conjecture,
esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))) != subset_complement(the_carrier(esk1_0),esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_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_262,c_0_312]),c_0_303]),c_0_308]),c_0_304]),c_0_299])]) ).
cnf(c_0_316,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_314]),c_0_299])]),c_0_315]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : SEU329+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.11 % Command : enigmatic-eprover.py %s %d 1
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Mon Jun 20 08:47:05 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.15/0.36 # ENIGMATIC: Selected complete mode:
% 8.78/2.57 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.78/2.57 # No SInE strategy applied
% 8.78/2.57 # Trying AutoSched0 for 150 seconds
% 8.78/2.57 # AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S4d
% 8.78/2.57 # and selection function SelectCQIPrecWNTNp.
% 8.78/2.57 #
% 8.78/2.57 # Preprocessing time : 0.020 s
% 8.78/2.57 # Presaturation interreduction done
% 8.78/2.57
% 8.78/2.57 # Proof found!
% 8.78/2.57 # SZS status Theorem
% 8.78/2.57 # SZS output start CNFRefutation
% See solution above
% 8.78/2.57 # Training examples: 0 positive, 0 negative
% 8.78/2.57
% 8.78/2.57 # -------------------------------------------------
% 8.78/2.57 # User time : 0.190 s
% 8.78/2.57 # System time : 0.010 s
% 8.78/2.57 # Total time : 0.201 s
% 8.78/2.57 # Maximum resident set size: 7128 pages
% 8.78/2.57
%------------------------------------------------------------------------------