TSTP Solution File: SEU332+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU332+1 : 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 08:40:53 EDT 2022
% Result : Theorem 7.93s 2.36s
% Output : CNFRefutation 7.93s
% 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 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 3 con; 0-6 aty)
% Number of variables : 458 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_137,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,X2)
| ~ in(X7,cartesian_product2(X2,X4))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-29m4wzs5/lgb.p',i_0_137) ).
cnf(i_0_136,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,X2)
| ~ in(X7,cartesian_product2(X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-29m4wzs5/lgb.p',i_0_136) ).
cnf(i_0_105,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,X2)
| ~ in(X7,cartesian_product2(X2,X4))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-29m4wzs5/lgb.p',i_0_105) ).
cnf(i_0_104,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,X2)
| ~ in(X7,cartesian_product2(X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-29m4wzs5/lgb.p',i_0_104) ).
cnf(i_0_8,negated_conjecture,
element(esk2_0,powerset(powerset(the_carrier(esk1_0)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-29m4wzs5/lgb.p',i_0_8) ).
cnf(i_0_9,negated_conjecture,
one_sorted_str(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-29m4wzs5/lgb.p',i_0_9) ).
cnf(i_0_2,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk6_1(X1),esk2_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-29m4wzs5/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-29m4wzs5/lgb.p',i_0_3) ).
cnf(i_0_135,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,X2)
| ~ in(X5,cartesian_product2(X2,X4))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-29m4wzs5/lgb.p',i_0_135) ).
cnf(i_0_103,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,X2)
| ~ in(X5,cartesian_product2(X2,X4))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-29m4wzs5/lgb.p',i_0_103) ).
cnf(i_0_4,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk4_1(X1),cartesian_product2(esk2_0,esk3_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-29m4wzs5/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-29m4wzs5/lgb.p',i_0_1) ).
cnf(i_0_142,plain,
( esk11_2(X1,X2) = esk12_2(X1,X2)
| in(esk19_4(X1,X2,X3,X4),cartesian_product2(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-29m4wzs5/lgb.p',i_0_142) ).
cnf(i_0_141,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-29m4wzs5/lgb.p',i_0_141) ).
cnf(i_0_110,plain,
( esk13_2(X1,X2) = esk11_2(X1,X2)
| in(esk19_4(X1,X2,X3,X4),cartesian_product2(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-29m4wzs5/lgb.p',i_0_110) ).
cnf(i_0_109,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-29m4wzs5/lgb.p',i_0_109) ).
cnf(i_0_140,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-29m4wzs5/lgb.p',i_0_140) ).
cnf(i_0_139,plain,
( esk11_2(X1,X2) = esk12_2(X1,X2)
| in(esk20_4(X1,X2,X3,X4),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-29m4wzs5/lgb.p',i_0_139) ).
cnf(i_0_108,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-29m4wzs5/lgb.p',i_0_108) ).
cnf(i_0_107,plain,
( esk13_2(X1,X2) = esk11_2(X1,X2)
| in(esk20_4(X1,X2,X3,X4),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-29m4wzs5/lgb.p',i_0_107) ).
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(X2,esk2_0)
| ~ in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),cartesian_product2(esk2_0,esk3_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-29m4wzs5/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(X2,esk2_0)
| ~ in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),cartesian_product2(esk2_0,esk3_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-29m4wzs5/lgb.p',i_0_6) ).
cnf(i_0_138,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-29m4wzs5/lgb.p',i_0_138) ).
cnf(i_0_106,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-29m4wzs5/lgb.p',i_0_106) ).
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(X1,esk2_0)
| ~ in(esk4_1(X3),X3)
| ~ in(esk4_1(X3),cartesian_product2(esk2_0,esk3_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-29m4wzs5/lgb.p',i_0_5) ).
cnf(i_0_73,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,X3)
| ~ in(X7,cartesian_product2(X3,X4))
| ~ element(X3,powerset(powerset(the_carrier(X2)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-29m4wzs5/lgb.p',i_0_73) ).
cnf(i_0_72,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,X2)
| ~ in(X7,cartesian_product2(X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-29m4wzs5/lgb.p',i_0_72) ).
cnf(i_0_71,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,X3)
| ~ in(X5,cartesian_product2(X3,X4))
| ~ element(X3,powerset(powerset(the_carrier(X2)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-29m4wzs5/lgb.p',i_0_71) ).
cnf(i_0_78,plain,
( in(esk19_4(X1,X2,X3,X4),cartesian_product2(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-29m4wzs5/lgb.p',i_0_78) ).
cnf(i_0_77,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-29m4wzs5/lgb.p',i_0_77) ).
cnf(i_0_76,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-29m4wzs5/lgb.p',i_0_76) ).
cnf(i_0_75,plain,
( in(esk20_4(X1,X2,X3,X4),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-29m4wzs5/lgb.p',i_0_75) ).
cnf(i_0_74,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-29m4wzs5/lgb.p',i_0_74) ).
cnf(c_0_176,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,X2)
| ~ in(X7,cartesian_product2(X2,X4))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
i_0_137 ).
cnf(c_0_177,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,X2)
| ~ in(X7,cartesian_product2(X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
i_0_136 ).
cnf(c_0_178,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,X2)
| ~ in(X7,cartesian_product2(X2,X4))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
i_0_105 ).
cnf(c_0_179,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,X2)
| ~ in(X7,cartesian_product2(X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
i_0_104 ).
cnf(c_0_180,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(X2,X3))
| ~ in(X4,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_176])]) ).
cnf(c_0_181,negated_conjecture,
element(esk2_0,powerset(powerset(the_carrier(esk1_0)))),
i_0_8 ).
cnf(c_0_182,negated_conjecture,
one_sorted_str(esk1_0),
i_0_9 ).
cnf(c_0_183,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(X2,X3))
| ~ in(X4,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_177])]) ).
cnf(c_0_184,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(X2,X3))
| ~ in(X4,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_178])]) ).
cnf(c_0_185,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(X2,X3))
| ~ in(X4,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_179])]) ).
cnf(c_0_186,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(esk2_0,X1))
| ~ in(X2,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_182])]) ).
cnf(c_0_187,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk6_1(X1),esk2_0) ),
i_0_2 ).
cnf(c_0_188,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(esk2_0,X1))
| ~ in(X2,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_181]),c_0_182])]) ).
cnf(c_0_189,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(esk2_0,X1))
| ~ in(X2,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_181]),c_0_182])]) ).
cnf(c_0_190,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(esk2_0,X1))
| ~ in(X2,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_181]),c_0_182])]) ).
cnf(c_0_191,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(esk2_0,X1)) ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_192,negated_conjecture,
( ordered_pair(esk6_1(X1),esk7_1(X1)) = esk4_1(X1)
| in(esk4_1(X1),X1) ),
i_0_3 ).
cnf(c_0_193,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(esk2_0,X1)) ),
inference(spm,[status(thm)],[c_0_188,c_0_187]) ).
cnf(c_0_194,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,X2)
| ~ in(X5,cartesian_product2(X2,X4))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
i_0_135 ).
cnf(c_0_195,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(esk2_0,X1)) ),
inference(spm,[status(thm)],[c_0_189,c_0_187]) ).
cnf(c_0_196,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(esk2_0,X1)) ),
inference(spm,[status(thm)],[c_0_190,c_0_187]) ).
cnf(c_0_197,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,X2)
| ~ in(X5,cartesian_product2(X2,X4))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
i_0_103 ).
cnf(c_0_198,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(esk2_0,X1)) ),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_199,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk4_1(X1),cartesian_product2(esk2_0,esk3_0)) ),
i_0_4 ).
cnf(c_0_200,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(esk2_0,X1)) ),
inference(spm,[status(thm)],[c_0_193,c_0_192]) ).
cnf(c_0_201,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(X2,X5))
| ~ in(X3,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_194])]) ).
cnf(c_0_202,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(esk2_0,X1)) ),
inference(spm,[status(thm)],[c_0_195,c_0_192]) ).
cnf(c_0_203,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(esk2_0,X1)) ),
inference(spm,[status(thm)],[c_0_196,c_0_192]) ).
cnf(c_0_204,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(X2,X5))
| ~ in(X3,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_197])]) ).
cnf(c_0_205,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_206,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_198,c_0_199]) ).
cnf(c_0_207,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_200,c_0_199]) ).
cnf(c_0_208,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(X2,X4))
| ~ in(esk6_1(X3),X2) ),
inference(spm,[status(thm)],[c_0_201,c_0_192]) ).
cnf(c_0_209,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_202,c_0_199]) ).
cnf(c_0_210,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_203,c_0_199]) ).
cnf(c_0_211,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(X2,X4))
| ~ in(esk6_1(X3),X2) ),
inference(spm,[status(thm)],[c_0_204,c_0_192]) ).
cnf(c_0_212,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_205]) ).
cnf(c_0_213,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_206,c_0_207]) ).
cnf(c_0_214,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_208,c_0_207]),c_0_181]),c_0_182])]),c_0_187]),c_0_199]) ).
cnf(c_0_215,plain,
( esk11_2(X1,X2) = esk12_2(X1,X2)
| in(esk19_4(X1,X2,X3,X4),cartesian_product2(X2,X3))
| ~ one_sorted_str(X1)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
i_0_142 ).
cnf(c_0_216,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_141 ).
cnf(c_0_217,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_209,c_0_210]) ).
cnf(c_0_218,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_211,c_0_210]),c_0_181]),c_0_182])]),c_0_187]),c_0_199]) ).
cnf(c_0_219,plain,
( esk13_2(X1,X2) = esk11_2(X1,X2)
| in(esk19_4(X1,X2,X3,X4),cartesian_product2(X2,X3))
| ~ one_sorted_str(X1)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
i_0_110 ).
cnf(c_0_220,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_109 ).
cnf(c_0_221,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_140 ).
cnf(c_0_222,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_212,c_0_213]),c_0_214]) ).
cnf(c_0_223,plain,
( esk11_2(X1,X2) = esk12_2(X1,X2)
| in(esk20_4(X1,X2,X3,X4),X2)
| ~ one_sorted_str(X1)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
i_0_139 ).
cnf(c_0_224,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(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_215,c_0_181]),c_0_182])]) ).
cnf(c_0_225,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_216,c_0_181]),c_0_182])]) ).
cnf(c_0_226,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_108 ).
cnf(c_0_227,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_212,c_0_217]),c_0_218]) ).
cnf(c_0_228,plain,
( esk13_2(X1,X2) = esk11_2(X1,X2)
| in(esk20_4(X1,X2,X3,X4),X2)
| ~ one_sorted_str(X1)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
i_0_107 ).
cnf(c_0_229,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(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_219,c_0_181]),c_0_182])]) ).
cnf(c_0_230,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_220,c_0_181]),c_0_182])]) ).
cnf(c_0_231,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_221,c_0_181]),c_0_182])]) ).
cnf(c_0_232,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_222]) ).
cnf(c_0_233,negated_conjecture,
( esk12_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk20_4(esk1_0,esk2_0,X1,X2),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_181]),c_0_182])]) ).
cnf(c_0_234,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(esk2_0,X1))
| in(esk4_1(esk18_3(esk1_0,esk2_0,X1)),cartesian_product2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_224,c_0_199]) ).
cnf(c_0_235,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(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_225,c_0_199]) ).
cnf(c_0_236,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_226,c_0_181]),c_0_182])]) ).
cnf(c_0_237,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_227]) ).
cnf(c_0_238,negated_conjecture,
( esk13_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk20_4(esk1_0,esk2_0,X1,X2),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_181]),c_0_182])]) ).
cnf(c_0_239,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(esk2_0,X1))
| in(esk4_1(esk18_3(esk1_0,esk2_0,X1)),cartesian_product2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_229,c_0_199]) ).
cnf(c_0_240,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(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_230,c_0_199]) ).
cnf(c_0_241,negated_conjecture,
( element(esk5_3(X1,X2,X3),powerset(the_carrier(esk1_0)))
| ordered_pair(X2,X3) != esk4_1(X1)
| ~ in(X2,esk2_0)
| ~ in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),cartesian_product2(esk2_0,esk3_0)) ),
i_0_7 ).
cnf(c_0_242,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_231,c_0_232]) ).
cnf(c_0_243,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))),esk2_0) ),
inference(spm,[status(thm)],[c_0_233,c_0_232]) ).
cnf(c_0_244,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(esk2_0,esk3_0))
| in(esk4_1(esk18_3(esk1_0,esk2_0,X1)),cartesian_product2(esk2_0,X1)) ),
inference(spm,[status(thm)],[c_0_234,c_0_235]) ).
cnf(c_0_245,negated_conjecture,
( esk5_3(X1,X2,X3) = X2
| ordered_pair(X2,X3) != esk4_1(X1)
| ~ in(X2,esk2_0)
| ~ in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),cartesian_product2(esk2_0,esk3_0)) ),
i_0_6 ).
cnf(c_0_246,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_236,c_0_237]) ).
cnf(c_0_247,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))),esk2_0) ),
inference(spm,[status(thm)],[c_0_238,c_0_237]) ).
cnf(c_0_248,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(esk2_0,esk3_0))
| in(esk4_1(esk18_3(esk1_0,esk2_0,X1)),cartesian_product2(esk2_0,X1)) ),
inference(spm,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_249,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_138 ).
cnf(c_0_250,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(esk2_0,esk3_0))
| ~ in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_243]) ).
cnf(c_0_251,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(esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_244]) ).
cnf(c_0_252,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(esk2_0,esk3_0))
| ~ in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_242]),c_0_243]) ).
cnf(c_0_253,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_106 ).
cnf(c_0_254,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(esk2_0,esk3_0))
| ~ in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_246]),c_0_247]) ).
cnf(c_0_255,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(esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_248]) ).
cnf(c_0_256,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(esk2_0,esk3_0))
| ~ in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_247]) ).
cnf(c_0_257,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_249]) ).
cnf(c_0_258,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_250]),c_0_251]),c_0_232]) ).
cnf(c_0_259,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_252]),c_0_251]),c_0_232]) ).
cnf(c_0_260,negated_conjecture,
( ordered_pair(X1,X2) != esk4_1(X3)
| subset_complement(the_carrier(esk1_0),esk5_3(X3,X1,X2)) != X2
| ~ in(X1,esk2_0)
| ~ in(esk4_1(X3),X3)
| ~ in(esk4_1(X3),cartesian_product2(esk2_0,esk3_0)) ),
i_0_5 ).
cnf(c_0_261,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_253]) ).
cnf(c_0_262,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_254]),c_0_255]),c_0_237]) ).
cnf(c_0_263,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_256]),c_0_255]),c_0_237]) ).
cnf(c_0_264,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,X3)
| ~ in(X7,cartesian_product2(X3,X4))
| ~ element(X3,powerset(powerset(the_carrier(X2)))) ),
i_0_73 ).
cnf(c_0_265,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_257,c_0_181]),c_0_182])]) ).
cnf(c_0_266,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_258,c_0_259]) ).
cnf(c_0_267,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_260,c_0_259]),c_0_251]),c_0_232]),c_0_243]),c_0_242]) ).
cnf(c_0_268,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_261,c_0_181]),c_0_182])]) ).
cnf(c_0_269,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_262,c_0_263]) ).
cnf(c_0_270,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_260,c_0_263]),c_0_255]),c_0_237]),c_0_247]),c_0_246]) ).
cnf(c_0_271,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,X2)
| ~ in(X7,cartesian_product2(X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
i_0_72 ).
cnf(c_0_272,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(X2,X3))
| ~ in(X4,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_264])]) ).
cnf(c_0_273,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_265,c_0_266]),c_0_232]),c_0_267]) ).
cnf(c_0_274,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_268,c_0_269]),c_0_237]),c_0_270]) ).
cnf(c_0_275,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(X2,X3))
| ~ in(X4,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_271])]) ).
cnf(c_0_276,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(esk2_0,X1))
| ~ in(X2,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_274]),c_0_181]),c_0_182])]) ).
cnf(c_0_277,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(esk2_0,X1))
| ~ in(X2,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_273]),c_0_274]),c_0_181]),c_0_182])]) ).
cnf(c_0_278,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(esk2_0,X1)) ),
inference(spm,[status(thm)],[c_0_276,c_0_187]) ).
cnf(c_0_279,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(esk2_0,X1)) ),
inference(spm,[status(thm)],[c_0_277,c_0_187]) ).
cnf(c_0_280,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,X3)
| ~ in(X5,cartesian_product2(X3,X4))
| ~ element(X3,powerset(powerset(the_carrier(X2)))) ),
i_0_71 ).
cnf(c_0_281,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(esk2_0,X1)) ),
inference(spm,[status(thm)],[c_0_278,c_0_192]) ).
cnf(c_0_282,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(esk2_0,X1)) ),
inference(spm,[status(thm)],[c_0_279,c_0_192]) ).
cnf(c_0_283,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(X4,X5))
| ~ in(X1,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_280])]) ).
cnf(c_0_284,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_281,c_0_199]) ).
cnf(c_0_285,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_282,c_0_199]) ).
cnf(c_0_286,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(X3,X4))
| ~ in(esk6_1(X1),X3) ),
inference(spm,[status(thm)],[c_0_283,c_0_192]) ).
cnf(c_0_287,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_284,c_0_285]) ).
cnf(c_0_288,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_286,c_0_285]),c_0_273]),c_0_274]),c_0_181]),c_0_182])]),c_0_187]),c_0_199]) ).
cnf(c_0_289,plain,
( in(esk19_4(X1,X2,X3,X4),cartesian_product2(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_78 ).
cnf(c_0_290,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_77 ).
cnf(c_0_291,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_76 ).
cnf(c_0_292,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_212,c_0_287]),c_0_288]) ).
cnf(c_0_293,plain,
( in(esk20_4(X1,X2,X3,X4),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_75 ).
cnf(c_0_294,plain,
( in(esk19_4(esk1_0,esk2_0,X1,X2),cartesian_product2(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_289,c_0_273]),c_0_274]),c_0_181]),c_0_182])]) ).
cnf(c_0_295,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_290,c_0_273]),c_0_274]),c_0_181]),c_0_182])]) ).
cnf(c_0_296,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_291,c_0_273]),c_0_274]),c_0_181]),c_0_182])]) ).
cnf(c_0_297,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_292]) ).
cnf(c_0_298,plain,
( in(esk20_4(esk1_0,esk2_0,X1,X2),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_293,c_0_273]),c_0_274]),c_0_181]),c_0_182])]) ).
cnf(c_0_299,negated_conjecture,
( in(esk19_4(esk1_0,esk2_0,X1,esk4_1(esk18_3(esk1_0,esk2_0,X1))),cartesian_product2(esk2_0,X1))
| in(esk4_1(esk18_3(esk1_0,esk2_0,X1)),cartesian_product2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_294,c_0_199]) ).
cnf(c_0_300,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(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_295,c_0_199]) ).
cnf(c_0_301,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_296,c_0_297]) ).
cnf(c_0_302,plain,
in(esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),esk2_0),
inference(spm,[status(thm)],[c_0_298,c_0_297]) ).
cnf(c_0_303,negated_conjecture,
( in(esk4_1(esk18_3(esk1_0,esk2_0,X1)),cartesian_product2(esk2_0,esk3_0))
| in(esk4_1(esk18_3(esk1_0,esk2_0,X1)),cartesian_product2(esk2_0,X1)) ),
inference(spm,[status(thm)],[c_0_299,c_0_300]) ).
cnf(c_0_304,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_74 ).
cnf(c_0_305,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(esk2_0,esk3_0))
| ~ in(esk4_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_301]),c_0_302])]) ).
cnf(c_0_306,negated_conjecture,
in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(esk2_0,esk3_0)),
inference(ef,[status(thm)],[c_0_303]) ).
cnf(c_0_307,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(esk2_0,esk3_0))
| ~ in(esk4_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_301]),c_0_302])]) ).
cnf(c_0_308,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_304]) ).
cnf(c_0_309,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_305]),c_0_306]),c_0_297])]) ).
cnf(c_0_310,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_307]),c_0_306]),c_0_297])]) ).
cnf(c_0_311,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_308,c_0_273]),c_0_274]),c_0_181]),c_0_182])]) ).
cnf(c_0_312,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_309,c_0_310]) ).
cnf(c_0_313,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_260,c_0_310]),c_0_301]),c_0_306]),c_0_297]),c_0_302])]) ).
cnf(c_0_314,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_312]),c_0_297])]),c_0_313]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU332+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.11 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.32 % Computer : n017.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sun Jun 19 03:23:45 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.17/0.44 # ENIGMATIC: Selected complete mode:
% 7.93/2.36 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.93/2.36 # No SInE strategy applied
% 7.93/2.36 # Trying AutoSched0 for 150 seconds
% 7.93/2.36 # AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S4d
% 7.93/2.36 # and selection function SelectCQIPrecWNTNp.
% 7.93/2.36 #
% 7.93/2.36 # Preprocessing time : 0.024 s
% 7.93/2.36 # Presaturation interreduction done
% 7.93/2.36
% 7.93/2.36 # Proof found!
% 7.93/2.36 # SZS status Theorem
% 7.93/2.36 # SZS output start CNFRefutation
% See solution above
% 7.93/2.36 # Training examples: 0 positive, 0 negative
% 7.93/2.36
% 7.93/2.36 # -------------------------------------------------
% 7.93/2.36 # User time : 0.075 s
% 7.93/2.36 # System time : 0.008 s
% 7.93/2.36 # Total time : 0.083 s
% 7.93/2.36 # Maximum resident set size: 7124 pages
% 7.93/2.36
%------------------------------------------------------------------------------