%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU329+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 09:19:02 EDT 2022
% Result : Theorem 0.34s 24.51s
% Output : CNFRefutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 2
% Syntax : Number of formulae : 126 ( 7 unt; 0 def)
% Number of atoms : 1181 ( 448 equ)
% Maximal formula atoms : 518 ( 9 avg)
% Number of connectives : 1795 ( 740 ~; 938 |; 99 &)
% ( 3 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 92 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 3 con; 0-6 aty)
% Number of variables : 410 ( 13 sgn 35 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s1_tarski__e4_7_1__tops_2__2,axiom,
! [X1,X2] :
( ( one_sorted_str(X1)
& element(X2,powerset(powerset(the_carrier(X1)))) )
=> ! [X3] :
( ! [X4,X5,X6] :
( ( X4 = X5
& ? [X7,X8] :
( ordered_pair(X7,X8) = X5
& in(X7,complements_of_subsets(the_carrier(X1),X2))
& ! [X9] :
( element(X9,powerset(the_carrier(X1)))
=> ( X9 = X7
=> X8 = subset_complement(the_carrier(X1),X9) ) ) )
& X4 = X6
& ? [X10,X11] :
( ordered_pair(X10,X11) = X6
& in(X10,complements_of_subsets(the_carrier(X1),X2))
& ! [X12] :
( element(X12,powerset(the_carrier(X1)))
=> ( X12 = X10
=> X11 = subset_complement(the_carrier(X1),X12) ) ) ) )
=> X5 = X6 )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ? [X6] :
( in(X6,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))
& X6 = X5
& ? [X13,X14] :
( ordered_pair(X13,X14) = X5
& in(X13,complements_of_subsets(the_carrier(X1),X2))
& ! [X15] :
( element(X15,powerset(the_carrier(X1)))
=> ( X15 = X13
=> X14 = subset_complement(the_carrier(X1),X15) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',s1_tarski__e4_7_1__tops_2__2) ).
fof(s1_xboole_0__e4_7_1__tops_2__1,conjecture,
! [X1,X2] :
( ( one_sorted_str(X1)
& element(X2,powerset(powerset(the_carrier(X1)))) )
=> ! [X3] :
? [X4] :
! [X5] :
( in(X5,X4)
<=> ( in(X5,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))
& ? [X6,X7] :
( ordered_pair(X6,X7) = X5
& in(X6,complements_of_subsets(the_carrier(X1),X2))
& ! [X8] :
( element(X8,powerset(the_carrier(X1)))
=> ( X8 = X6
=> X7 = subset_complement(the_carrier(X1),X8) ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',s1_xboole_0__e4_7_1__tops_2__1) ).
fof(c_0_2,plain,
! [X16,X17,X24,X27,X18,X29,X33,X29,X34,X35,X36] :
( ( in(esk19_4(X16,X17,X18,X29),cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| ~ in(X29,esk18_3(X16,X17,X18))
| esk11_2(X16,X17) = esk12_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk19_4(X16,X17,X18,X29) = X29
| ~ in(X29,esk18_3(X16,X17,X18))
| esk11_2(X16,X17) = esk12_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ordered_pair(esk20_4(X16,X17,X18,X29),esk21_4(X16,X17,X18,X29)) = X29
| ~ in(X29,esk18_3(X16,X17,X18))
| esk11_2(X16,X17) = esk12_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk20_4(X16,X17,X18,X29),complements_of_subsets(the_carrier(X16),X17))
| ~ in(X29,esk18_3(X16,X17,X18))
| esk11_2(X16,X17) = esk12_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ~ element(X33,powerset(the_carrier(X16)))
| X33 != esk20_4(X16,X17,X18,X29)
| esk21_4(X16,X17,X18,X29) = subset_complement(the_carrier(X16),X33)
| ~ in(X29,esk18_3(X16,X17,X18))
| esk11_2(X16,X17) = esk12_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( element(esk22_6(X16,X17,X18,X29,X35,X36),powerset(the_carrier(X16)))
| ordered_pair(X35,X36) != X29
| ~ in(X35,complements_of_subsets(the_carrier(X16),X17))
| ~ in(X34,cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| X34 != X29
| in(X29,esk18_3(X16,X17,X18))
| esk11_2(X16,X17) = esk12_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk22_6(X16,X17,X18,X29,X35,X36) = X35
| ordered_pair(X35,X36) != X29
| ~ in(X35,complements_of_subsets(the_carrier(X16),X17))
| ~ in(X34,cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| X34 != X29
| in(X29,esk18_3(X16,X17,X18))
| esk11_2(X16,X17) = esk12_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( X36 != subset_complement(the_carrier(X16),esk22_6(X16,X17,X18,X29,X35,X36))
| ordered_pair(X35,X36) != X29
| ~ in(X35,complements_of_subsets(the_carrier(X16),X17))
| ~ in(X34,cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| X34 != X29
| in(X29,esk18_3(X16,X17,X18))
| esk11_2(X16,X17) = esk12_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk19_4(X16,X17,X18,X29),cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| ~ in(X29,esk18_3(X16,X17,X18))
| ordered_pair(esk14_2(X16,X17),esk15_2(X16,X17)) = esk12_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk19_4(X16,X17,X18,X29) = X29
| ~ in(X29,esk18_3(X16,X17,X18))
| ordered_pair(esk14_2(X16,X17),esk15_2(X16,X17)) = esk12_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ordered_pair(esk20_4(X16,X17,X18,X29),esk21_4(X16,X17,X18,X29)) = X29
| ~ in(X29,esk18_3(X16,X17,X18))
| ordered_pair(esk14_2(X16,X17),esk15_2(X16,X17)) = esk12_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk20_4(X16,X17,X18,X29),complements_of_subsets(the_carrier(X16),X17))
| ~ in(X29,esk18_3(X16,X17,X18))
| ordered_pair(esk14_2(X16,X17),esk15_2(X16,X17)) = esk12_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ~ element(X33,powerset(the_carrier(X16)))
| X33 != esk20_4(X16,X17,X18,X29)
| esk21_4(X16,X17,X18,X29) = subset_complement(the_carrier(X16),X33)
| ~ in(X29,esk18_3(X16,X17,X18))
| ordered_pair(esk14_2(X16,X17),esk15_2(X16,X17)) = esk12_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( element(esk22_6(X16,X17,X18,X29,X35,X36),powerset(the_carrier(X16)))
| ordered_pair(X35,X36) != X29
| ~ in(X35,complements_of_subsets(the_carrier(X16),X17))
| ~ in(X34,cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| X34 != X29
| in(X29,esk18_3(X16,X17,X18))
| ordered_pair(esk14_2(X16,X17),esk15_2(X16,X17)) = esk12_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk22_6(X16,X17,X18,X29,X35,X36) = X35
| ordered_pair(X35,X36) != X29
| ~ in(X35,complements_of_subsets(the_carrier(X16),X17))
| ~ in(X34,cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| X34 != X29
| in(X29,esk18_3(X16,X17,X18))
| ordered_pair(esk14_2(X16,X17),esk15_2(X16,X17)) = esk12_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( X36 != subset_complement(the_carrier(X16),esk22_6(X16,X17,X18,X29,X35,X36))
| ordered_pair(X35,X36) != X29
| ~ in(X35,complements_of_subsets(the_carrier(X16),X17))
| ~ in(X34,cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| X34 != X29
| in(X29,esk18_3(X16,X17,X18))
| ordered_pair(esk14_2(X16,X17),esk15_2(X16,X17)) = esk12_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk19_4(X16,X17,X18,X29),cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| ~ in(X29,esk18_3(X16,X17,X18))
| in(esk14_2(X16,X17),complements_of_subsets(the_carrier(X16),X17))
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk19_4(X16,X17,X18,X29) = X29
| ~ in(X29,esk18_3(X16,X17,X18))
| in(esk14_2(X16,X17),complements_of_subsets(the_carrier(X16),X17))
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ordered_pair(esk20_4(X16,X17,X18,X29),esk21_4(X16,X17,X18,X29)) = X29
| ~ in(X29,esk18_3(X16,X17,X18))
| in(esk14_2(X16,X17),complements_of_subsets(the_carrier(X16),X17))
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk20_4(X16,X17,X18,X29),complements_of_subsets(the_carrier(X16),X17))
| ~ in(X29,esk18_3(X16,X17,X18))
| in(esk14_2(X16,X17),complements_of_subsets(the_carrier(X16),X17))
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ~ element(X33,powerset(the_carrier(X16)))
| X33 != esk20_4(X16,X17,X18,X29)
| esk21_4(X16,X17,X18,X29) = subset_complement(the_carrier(X16),X33)
| ~ in(X29,esk18_3(X16,X17,X18))
| in(esk14_2(X16,X17),complements_of_subsets(the_carrier(X16),X17))
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( element(esk22_6(X16,X17,X18,X29,X35,X36),powerset(the_carrier(X16)))
| ordered_pair(X35,X36) != X29
| ~ in(X35,complements_of_subsets(the_carrier(X16),X17))
| ~ in(X34,cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| X34 != X29
| in(X29,esk18_3(X16,X17,X18))
| in(esk14_2(X16,X17),complements_of_subsets(the_carrier(X16),X17))
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk22_6(X16,X17,X18,X29,X35,X36) = X35
| ordered_pair(X35,X36) != X29
| ~ in(X35,complements_of_subsets(the_carrier(X16),X17))
| ~ in(X34,cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| X34 != X29
| in(X29,esk18_3(X16,X17,X18))
| in(esk14_2(X16,X17),complements_of_subsets(the_carrier(X16),X17))
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( X36 != subset_complement(the_carrier(X16),esk22_6(X16,X17,X18,X29,X35,X36))
| ordered_pair(X35,X36) != X29
| ~ in(X35,complements_of_subsets(the_carrier(X16),X17))
| ~ in(X34,cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| X34 != X29
| in(X29,esk18_3(X16,X17,X18))
| in(esk14_2(X16,X17),complements_of_subsets(the_carrier(X16),X17))
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk19_4(X16,X17,X18,X29),cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| ~ in(X29,esk18_3(X16,X17,X18))
| ~ element(X24,powerset(the_carrier(X16)))
| X24 != esk14_2(X16,X17)
| esk15_2(X16,X17) = subset_complement(the_carrier(X16),X24)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk19_4(X16,X17,X18,X29) = X29
| ~ in(X29,esk18_3(X16,X17,X18))
| ~ element(X24,powerset(the_carrier(X16)))
| X24 != esk14_2(X16,X17)
| esk15_2(X16,X17) = subset_complement(the_carrier(X16),X24)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ordered_pair(esk20_4(X16,X17,X18,X29),esk21_4(X16,X17,X18,X29)) = X29
| ~ in(X29,esk18_3(X16,X17,X18))
| ~ element(X24,powerset(the_carrier(X16)))
| X24 != esk14_2(X16,X17)
| esk15_2(X16,X17) = subset_complement(the_carrier(X16),X24)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk20_4(X16,X17,X18,X29),complements_of_subsets(the_carrier(X16),X17))
| ~ in(X29,esk18_3(X16,X17,X18))
| ~ element(X24,powerset(the_carrier(X16)))
| X24 != esk14_2(X16,X17)
| esk15_2(X16,X17) = subset_complement(the_carrier(X16),X24)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ~ element(X33,powerset(the_carrier(X16)))
| X33 != esk20_4(X16,X17,X18,X29)
| esk21_4(X16,X17,X18,X29) = subset_complement(the_carrier(X16),X33)
| ~ in(X29,esk18_3(X16,X17,X18))
| ~ element(X24,powerset(the_carrier(X16)))
| X24 != esk14_2(X16,X17)
| esk15_2(X16,X17) = subset_complement(the_carrier(X16),X24)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( element(esk22_6(X16,X17,X18,X29,X35,X36),powerset(the_carrier(X16)))
| ordered_pair(X35,X36) != X29
| ~ in(X35,complements_of_subsets(the_carrier(X16),X17))
| ~ in(X34,cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| X34 != X29
| in(X29,esk18_3(X16,X17,X18))
| ~ element(X24,powerset(the_carrier(X16)))
| X24 != esk14_2(X16,X17)
| esk15_2(X16,X17) = subset_complement(the_carrier(X16),X24)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk22_6(X16,X17,X18,X29,X35,X36) = X35
| ordered_pair(X35,X36) != X29
| ~ in(X35,complements_of_subsets(the_carrier(X16),X17))
| ~ in(X34,cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| X34 != X29
| in(X29,esk18_3(X16,X17,X18))
| ~ element(X24,powerset(the_carrier(X16)))
| X24 != esk14_2(X16,X17)
| esk15_2(X16,X17) = subset_complement(the_carrier(X16),X24)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( X36 != subset_complement(the_carrier(X16),esk22_6(X16,X17,X18,X29,X35,X36))
| ordered_pair(X35,X36) != X29
| ~ in(X35,complements_of_subsets(the_carrier(X16),X17))
| ~ in(X34,cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| X34 != X29
| in(X29,esk18_3(X16,X17,X18))
| ~ element(X24,powerset(the_carrier(X16)))
| X24 != esk14_2(X16,X17)
| esk15_2(X16,X17) = subset_complement(the_carrier(X16),X24)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk19_4(X16,X17,X18,X29),cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| ~ in(X29,esk18_3(X16,X17,X18))
| esk11_2(X16,X17) = esk13_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk19_4(X16,X17,X18,X29) = X29
| ~ in(X29,esk18_3(X16,X17,X18))
| esk11_2(X16,X17) = esk13_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ordered_pair(esk20_4(X16,X17,X18,X29),esk21_4(X16,X17,X18,X29)) = X29
| ~ in(X29,esk18_3(X16,X17,X18))
| esk11_2(X16,X17) = esk13_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk20_4(X16,X17,X18,X29),complements_of_subsets(the_carrier(X16),X17))
| ~ in(X29,esk18_3(X16,X17,X18))
| esk11_2(X16,X17) = esk13_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ~ element(X33,powerset(the_carrier(X16)))
| X33 != esk20_4(X16,X17,X18,X29)
| esk21_4(X16,X17,X18,X29) = subset_complement(the_carrier(X16),X33)
| ~ in(X29,esk18_3(X16,X17,X18))
| esk11_2(X16,X17) = esk13_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( element(esk22_6(X16,X17,X18,X29,X35,X36),powerset(the_carrier(X16)))
| ordered_pair(X35,X36) != X29
| ~ in(X35,complements_of_subsets(the_carrier(X16),X17))
| ~ in(X34,cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| X34 != X29
| in(X29,esk18_3(X16,X17,X18))
| esk11_2(X16,X17) = esk13_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk22_6(X16,X17,X18,X29,X35,X36) = X35
| ordered_pair(X35,X36) != X29
| ~ in(X35,complements_of_subsets(the_carrier(X16),X17))
| ~ in(X34,cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| X34 != X29
| in(X29,esk18_3(X16,X17,X18))
| esk11_2(X16,X17) = esk13_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( X36 != subset_complement(the_carrier(X16),esk22_6(X16,X17,X18,X29,X35,X36))
| ordered_pair(X35,X36) != X29
| ~ in(X35,complements_of_subsets(the_carrier(X16),X17))
| ~ in(X34,cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| X34 != X29
| in(X29,esk18_3(X16,X17,X18))
| esk11_2(X16,X17) = esk13_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk19_4(X16,X17,X18,X29),cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| ~ in(X29,esk18_3(X16,X17,X18))
| ordered_pair(esk16_2(X16,X17),esk17_2(X16,X17)) = esk13_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk19_4(X16,X17,X18,X29) = X29
| ~ in(X29,esk18_3(X16,X17,X18))
| ordered_pair(esk16_2(X16,X17),esk17_2(X16,X17)) = esk13_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ordered_pair(esk20_4(X16,X17,X18,X29),esk21_4(X16,X17,X18,X29)) = X29
| ~ in(X29,esk18_3(X16,X17,X18))
| ordered_pair(esk16_2(X16,X17),esk17_2(X16,X17)) = esk13_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk20_4(X16,X17,X18,X29),complements_of_subsets(the_carrier(X16),X17))
| ~ in(X29,esk18_3(X16,X17,X18))
| ordered_pair(esk16_2(X16,X17),esk17_2(X16,X17)) = esk13_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ~ element(X33,powerset(the_carrier(X16)))
| X33 != esk20_4(X16,X17,X18,X29)
| esk21_4(X16,X17,X18,X29) = subset_complement(the_carrier(X16),X33)
| ~ in(X29,esk18_3(X16,X17,X18))
| ordered_pair(esk16_2(X16,X17),esk17_2(X16,X17)) = esk13_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( element(esk22_6(X16,X17,X18,X29,X35,X36),powerset(the_carrier(X16)))
| ordered_pair(X35,X36) != X29
| ~ in(X35,complements_of_subsets(the_carrier(X16),X17))
| ~ in(X34,cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| X34 != X29
| in(X29,esk18_3(X16,X17,X18))
| ordered_pair(esk16_2(X16,X17),esk17_2(X16,X17)) = esk13_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk22_6(X16,X17,X18,X29,X35,X36) = X35
| ordered_pair(X35,X36) != X29
| ~ in(X35,complements_of_subsets(the_carrier(X16),X17))
| ~ in(X34,cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| X34 != X29
| in(X29,esk18_3(X16,X17,X18))
| ordered_pair(esk16_2(X16,X17),esk17_2(X16,X17)) = esk13_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( X36 != subset_complement(the_carrier(X16),esk22_6(X16,X17,X18,X29,X35,X36))
| ordered_pair(X35,X36) != X29
| ~ in(X35,complements_of_subsets(the_carrier(X16),X17))
| ~ in(X34,cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| X34 != X29
| in(X29,esk18_3(X16,X17,X18))
| ordered_pair(esk16_2(X16,X17),esk17_2(X16,X17)) = esk13_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk19_4(X16,X17,X18,X29),cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| ~ in(X29,esk18_3(X16,X17,X18))
| in(esk16_2(X16,X17),complements_of_subsets(the_carrier(X16),X17))
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk19_4(X16,X17,X18,X29) = X29
| ~ in(X29,esk18_3(X16,X17,X18))
| in(esk16_2(X16,X17),complements_of_subsets(the_carrier(X16),X17))
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ordered_pair(esk20_4(X16,X17,X18,X29),esk21_4(X16,X17,X18,X29)) = X29
| ~ in(X29,esk18_3(X16,X17,X18))
| in(esk16_2(X16,X17),complements_of_subsets(the_carrier(X16),X17))
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk20_4(X16,X17,X18,X29),complements_of_subsets(the_carrier(X16),X17))
| ~ in(X29,esk18_3(X16,X17,X18))
| in(esk16_2(X16,X17),complements_of_subsets(the_carrier(X16),X17))
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ~ element(X33,powerset(the_carrier(X16)))
| X33 != esk20_4(X16,X17,X18,X29)
| esk21_4(X16,X17,X18,X29) = subset_complement(the_carrier(X16),X33)
| ~ in(X29,esk18_3(X16,X17,X18))
| in(esk16_2(X16,X17),complements_of_subsets(the_carrier(X16),X17))
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( element(esk22_6(X16,X17,X18,X29,X35,X36),powerset(the_carrier(X16)))
| ordered_pair(X35,X36) != X29
| ~ in(X35,complements_of_subsets(the_carrier(X16),X17))
| ~ in(X34,cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| X34 != X29
| in(X29,esk18_3(X16,X17,X18))
| in(esk16_2(X16,X17),complements_of_subsets(the_carrier(X16),X17))
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk22_6(X16,X17,X18,X29,X35,X36) = X35
| ordered_pair(X35,X36) != X29
| ~ in(X35,complements_of_subsets(the_carrier(X16),X17))
| ~ in(X34,cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| X34 != X29
| in(X29,esk18_3(X16,X17,X18))
| in(esk16_2(X16,X17),complements_of_subsets(the_carrier(X16),X17))
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( X36 != subset_complement(the_carrier(X16),esk22_6(X16,X17,X18,X29,X35,X36))
| ordered_pair(X35,X36) != X29
| ~ in(X35,complements_of_subsets(the_carrier(X16),X17))
| ~ in(X34,cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| X34 != X29
| in(X29,esk18_3(X16,X17,X18))
| in(esk16_2(X16,X17),complements_of_subsets(the_carrier(X16),X17))
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk19_4(X16,X17,X18,X29),cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| ~ in(X29,esk18_3(X16,X17,X18))
| ~ element(X27,powerset(the_carrier(X16)))
| X27 != esk16_2(X16,X17)
| esk17_2(X16,X17) = subset_complement(the_carrier(X16),X27)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk19_4(X16,X17,X18,X29) = X29
| ~ in(X29,esk18_3(X16,X17,X18))
| ~ element(X27,powerset(the_carrier(X16)))
| X27 != esk16_2(X16,X17)
| esk17_2(X16,X17) = subset_complement(the_carrier(X16),X27)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ordered_pair(esk20_4(X16,X17,X18,X29),esk21_4(X16,X17,X18,X29)) = X29
| ~ in(X29,esk18_3(X16,X17,X18))
| ~ element(X27,powerset(the_carrier(X16)))
| X27 != esk16_2(X16,X17)
| esk17_2(X16,X17) = subset_complement(the_carrier(X16),X27)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk20_4(X16,X17,X18,X29),complements_of_subsets(the_carrier(X16),X17))
| ~ in(X29,esk18_3(X16,X17,X18))
| ~ element(X27,powerset(the_carrier(X16)))
| X27 != esk16_2(X16,X17)
| esk17_2(X16,X17) = subset_complement(the_carrier(X16),X27)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ~ element(X33,powerset(the_carrier(X16)))
| X33 != esk20_4(X16,X17,X18,X29)
| esk21_4(X16,X17,X18,X29) = subset_complement(the_carrier(X16),X33)
| ~ in(X29,esk18_3(X16,X17,X18))
| ~ element(X27,powerset(the_carrier(X16)))
| X27 != esk16_2(X16,X17)
| esk17_2(X16,X17) = subset_complement(the_carrier(X16),X27)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( element(esk22_6(X16,X17,X18,X29,X35,X36),powerset(the_carrier(X16)))
| ordered_pair(X35,X36) != X29
| ~ in(X35,complements_of_subsets(the_carrier(X16),X17))
| ~ in(X34,cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| X34 != X29
| in(X29,esk18_3(X16,X17,X18))
| ~ element(X27,powerset(the_carrier(X16)))
| X27 != esk16_2(X16,X17)
| esk17_2(X16,X17) = subset_complement(the_carrier(X16),X27)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk22_6(X16,X17,X18,X29,X35,X36) = X35
| ordered_pair(X35,X36) != X29
| ~ in(X35,complements_of_subsets(the_carrier(X16),X17))
| ~ in(X34,cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| X34 != X29
| in(X29,esk18_3(X16,X17,X18))
| ~ element(X27,powerset(the_carrier(X16)))
| X27 != esk16_2(X16,X17)
| esk17_2(X16,X17) = subset_complement(the_carrier(X16),X27)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( X36 != subset_complement(the_carrier(X16),esk22_6(X16,X17,X18,X29,X35,X36))
| ordered_pair(X35,X36) != X29
| ~ in(X35,complements_of_subsets(the_carrier(X16),X17))
| ~ in(X34,cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| X34 != X29
| in(X29,esk18_3(X16,X17,X18))
| ~ element(X27,powerset(the_carrier(X16)))
| X27 != esk16_2(X16,X17)
| esk17_2(X16,X17) = subset_complement(the_carrier(X16),X27)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk19_4(X16,X17,X18,X29),cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| ~ in(X29,esk18_3(X16,X17,X18))
| esk12_2(X16,X17) != esk13_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk19_4(X16,X17,X18,X29) = X29
| ~ in(X29,esk18_3(X16,X17,X18))
| esk12_2(X16,X17) != esk13_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ordered_pair(esk20_4(X16,X17,X18,X29),esk21_4(X16,X17,X18,X29)) = X29
| ~ in(X29,esk18_3(X16,X17,X18))
| esk12_2(X16,X17) != esk13_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk20_4(X16,X17,X18,X29),complements_of_subsets(the_carrier(X16),X17))
| ~ in(X29,esk18_3(X16,X17,X18))
| esk12_2(X16,X17) != esk13_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ~ element(X33,powerset(the_carrier(X16)))
| X33 != esk20_4(X16,X17,X18,X29)
| esk21_4(X16,X17,X18,X29) = subset_complement(the_carrier(X16),X33)
| ~ in(X29,esk18_3(X16,X17,X18))
| esk12_2(X16,X17) != esk13_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( element(esk22_6(X16,X17,X18,X29,X35,X36),powerset(the_carrier(X16)))
| ordered_pair(X35,X36) != X29
| ~ in(X35,complements_of_subsets(the_carrier(X16),X17))
| ~ in(X34,cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| X34 != X29
| in(X29,esk18_3(X16,X17,X18))
| esk12_2(X16,X17) != esk13_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk22_6(X16,X17,X18,X29,X35,X36) = X35
| ordered_pair(X35,X36) != X29
| ~ in(X35,complements_of_subsets(the_carrier(X16),X17))
| ~ in(X34,cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| X34 != X29
| in(X29,esk18_3(X16,X17,X18))
| esk12_2(X16,X17) != esk13_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( X36 != subset_complement(the_carrier(X16),esk22_6(X16,X17,X18,X29,X35,X36))
| ordered_pair(X35,X36) != X29
| ~ in(X35,complements_of_subsets(the_carrier(X16),X17))
| ~ in(X34,cartesian_product2(complements_of_subsets(the_carrier(X16),X17),X18))
| X34 != X29
| in(X29,esk18_3(X16,X17,X18))
| esk12_2(X16,X17) != esk13_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[s1_tarski__e4_7_1__tops_2__2])])])])])])]) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2] :
( ( one_sorted_str(X1)
& element(X2,powerset(powerset(the_carrier(X1)))) )
=> ! [X3] :
? [X4] :
! [X5] :
( in(X5,X4)
<=> ( in(X5,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))
& ? [X6,X7] :
( ordered_pair(X6,X7) = X5
& in(X6,complements_of_subsets(the_carrier(X1),X2))
& ! [X8] :
( element(X8,powerset(the_carrier(X1)))
=> ( X8 = X6
=> X7 = subset_complement(the_carrier(X1),X8) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[s1_xboole_0__e4_7_1__tops_2__1]) ).
cnf(c_0_4,plain,
( esk11_2(X2,X1) = esk12_2(X2,X1)
| in(X3,esk18_3(X2,X1,X4))
| esk22_6(X2,X1,X4,X3,X6,X7) = X6
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| X5 != X3
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X4))
| ~ in(X6,complements_of_subsets(the_carrier(X2),X1))
| ordered_pair(X6,X7) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_5,negated_conjecture,
! [X12,X14,X15,X19] :
( one_sorted_str(esk1_0)
& element(esk2_0,powerset(powerset(the_carrier(esk1_0))))
& ( element(esk5_3(X12,X14,X15),powerset(the_carrier(esk1_0)))
| ordered_pair(X14,X15) != esk4_1(X12)
| ~ in(X14,complements_of_subsets(the_carrier(esk1_0),esk2_0))
| ~ in(esk4_1(X12),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0))
| ~ in(esk4_1(X12),X12) )
& ( esk5_3(X12,X14,X15) = X14
| ordered_pair(X14,X15) != esk4_1(X12)
| ~ in(X14,complements_of_subsets(the_carrier(esk1_0),esk2_0))
| ~ in(esk4_1(X12),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0))
| ~ in(esk4_1(X12),X12) )
& ( X15 != subset_complement(the_carrier(esk1_0),esk5_3(X12,X14,X15))
| ordered_pair(X14,X15) != esk4_1(X12)
| ~ in(X14,complements_of_subsets(the_carrier(esk1_0),esk2_0))
| ~ in(esk4_1(X12),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0))
| ~ in(esk4_1(X12),X12) )
& ( in(esk4_1(X12),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0))
| in(esk4_1(X12),X12) )
& ( ordered_pair(esk6_1(X12),esk7_1(X12)) = esk4_1(X12)
| in(esk4_1(X12),X12) )
& ( in(esk6_1(X12),complements_of_subsets(the_carrier(esk1_0),esk2_0))
| in(esk4_1(X12),X12) )
& ( ~ element(X19,powerset(the_carrier(esk1_0)))
| X19 != esk6_1(X12)
| esk7_1(X12) = subset_complement(the_carrier(esk1_0),X19)
| in(esk4_1(X12),X12) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])])]) ).
cnf(c_0_6,plain,
( esk22_6(X1,X2,X3,X4,X5,X6) = X5
| esk11_2(X1,X2) = esk12_2(X1,X2)
| in(X4,esk18_3(X1,X2,X3))
| ordered_pair(X5,X6) != X4
| ~ in(X4,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))
| ~ in(X5,complements_of_subsets(the_carrier(X1),X2))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk4_1(X1),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
element(esk2_0,powerset(powerset(the_carrier(esk1_0)))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
one_sorted_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
( esk22_6(esk1_0,esk2_0,esk3_0,esk4_1(X1),X2,X3) = X2
| esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| ordered_pair(X2,X3) != esk4_1(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(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),c_0_9])]) ).
cnf(c_0_11,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk6_1(X1),complements_of_subsets(the_carrier(esk1_0),esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
( esk22_6(esk1_0,esk2_0,esk3_0,esk4_1(X1),esk6_1(X2),X3) = esk6_1(X2)
| esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X2),X2)
| in(esk4_1(X1),X1)
| ordered_pair(esk6_1(X2),X3) != esk4_1(X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,negated_conjecture,
( in(esk4_1(X1),X1)
| ordered_pair(esk6_1(X1),esk7_1(X1)) = esk4_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,plain,
( esk11_2(X2,X1) = esk12_2(X2,X1)
| in(X3,esk18_3(X2,X1,X4))
| element(esk22_6(X2,X1,X4,X3,X6,X7),powerset(the_carrier(X2)))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| X5 != X3
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X4))
| ~ in(X6,complements_of_subsets(the_carrier(X2),X1))
| ordered_pair(X6,X7) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_15,negated_conjecture,
( esk22_6(esk1_0,esk2_0,esk3_0,esk4_1(X1),esk6_1(X2),esk7_1(X2)) = esk6_1(X2)
| esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| in(esk4_1(X2),X2)
| esk4_1(X2) != esk4_1(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
( esk11_2(X2,X1) = esk12_2(X2,X1)
| in(X3,esk18_3(X2,X1,X4))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| X5 != X3
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X4))
| ~ in(X6,complements_of_subsets(the_carrier(X2),X1))
| ordered_pair(X6,X7) != X3
| X7 != subset_complement(the_carrier(X2),esk22_6(X2,X1,X4,X3,X6,X7)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_17,negated_conjecture,
( in(esk4_1(X1),X1)
| esk7_1(X1) = subset_complement(the_carrier(esk1_0),X2)
| X2 != esk6_1(X1)
| ~ element(X2,powerset(the_carrier(esk1_0))) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,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)))
| ordered_pair(X5,X6) != X3
| ~ in(X3,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X4))
| ~ in(X5,complements_of_subsets(the_carrier(X1),X2))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[c_0_14]) ).
cnf(c_0_19,negated_conjecture,
( esk22_6(esk1_0,esk2_0,esk3_0,esk4_1(X1),esk6_1(X1),esk7_1(X1)) = esk6_1(X1)
| esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(er,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( esk11_2(X1,X2) = esk12_2(X1,X2)
| in(X3,esk18_3(X1,X2,X4))
| subset_complement(the_carrier(X1),esk22_6(X1,X2,X4,X3,X5,X6)) != X6
| ordered_pair(X5,X6) != X3
| ~ in(X3,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X4))
| ~ in(X5,complements_of_subsets(the_carrier(X1),X2))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
( esk11_2(X2,X1) = esk12_2(X2,X1)
| in(esk19_4(X2,X1,X4,X3),cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X4))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| ~ in(X3,esk18_3(X2,X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_22,plain,
( esk11_2(X2,X1) = esk12_2(X2,X1)
| esk19_4(X2,X1,X4,X3) = X3
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| ~ in(X3,esk18_3(X2,X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_23,negated_conjecture,
( subset_complement(the_carrier(esk1_0),esk6_1(X1)) = esk7_1(X1)
| in(esk4_1(X1),X1)
| ~ element(esk6_1(X1),powerset(the_carrier(esk1_0))) ),
inference(er,[status(thm)],[c_0_17]) ).
cnf(c_0_24,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| element(esk6_1(X1),powerset(the_carrier(esk1_0))) ),
inference(csr,[status(thm)],[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_18,c_0_19]),c_0_8]),c_0_9])]),c_0_11]),c_0_7]),c_0_13]) ).
cnf(c_0_25,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| subset_complement(the_carrier(esk1_0),esk6_1(X1)) != esk7_1(X1) ),
inference(csr,[status(thm)],[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_20,c_0_19]),c_0_8]),c_0_9])]),c_0_11]),c_0_7]),c_0_13]) ).
cnf(c_0_26,plain,
( esk11_2(X2,X1) = esk13_2(X2,X1)
| in(X3,esk18_3(X2,X1,X4))
| esk22_6(X2,X1,X4,X3,X6,X7) = X6
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| X5 != X3
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X4))
| ~ in(X6,complements_of_subsets(the_carrier(X2),X1))
| ordered_pair(X6,X7) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_27,negated_conjecture,
( esk5_3(X1,X2,X3) = X2
| ~ in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0))
| ~ in(X2,complements_of_subsets(the_carrier(esk1_0),esk2_0))
| ordered_pair(X2,X3) != esk4_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_28,plain,
( esk11_2(X1,X2) = esk12_2(X1,X2)
| in(X3,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X4))
| ~ in(X3,esk18_3(X1,X2,X4))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk12_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_23,c_0_24]),c_0_25]) ).
cnf(c_0_30,plain,
( esk22_6(X1,X2,X3,X4,X5,X6) = X5
| esk11_2(X1,X2) = esk13_2(X1,X2)
| in(X4,esk18_3(X1,X2,X3))
| ordered_pair(X5,X6) != X4
| ~ in(X4,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))
| ~ in(X5,complements_of_subsets(the_carrier(X1),X2))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[c_0_26]) ).
cnf(c_0_31,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| esk5_3(X1,X2,X3) = X2
| ordered_pair(X2,X3) != esk4_1(X1)
| ~ in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(X2,complements_of_subsets(the_carrier(esk1_0),esk2_0))
| ~ in(esk4_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_8]),c_0_9])]) ).
cnf(c_0_32,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk12_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_29]) ).
cnf(c_0_33,negated_conjecture,
( esk22_6(esk1_0,esk2_0,esk3_0,esk4_1(X1),X2,X3) = X2
| esk11_2(esk1_0,esk2_0) = esk13_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| ordered_pair(X2,X3) != esk4_1(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(spm,[status(thm)],[c_0_30,c_0_7]),c_0_8]),c_0_9])]) ).
cnf(c_0_34,negated_conjecture,
( ~ in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0))
| ~ in(X2,complements_of_subsets(the_carrier(esk1_0),esk2_0))
| ordered_pair(X2,X3) != esk4_1(X1)
| X3 != subset_complement(the_carrier(esk1_0),esk5_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_35,negated_conjecture,
( esk5_3(esk18_3(esk1_0,esk2_0,esk3_0),X1,X2) = X1
| esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| ordered_pair(X1,X2) != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,complements_of_subsets(the_carrier(esk1_0),esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_32]) ).
cnf(c_0_36,negated_conjecture,
( esk22_6(esk1_0,esk2_0,esk3_0,esk4_1(X1),esk6_1(X2),X3) = esk6_1(X2)
| esk11_2(esk1_0,esk2_0) = esk13_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X2),X2)
| in(esk4_1(X1),X1)
| ordered_pair(esk6_1(X2),X3) != esk4_1(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_11]) ).
cnf(c_0_37,negated_conjecture,
( element(esk5_3(X1,X2,X3),powerset(the_carrier(esk1_0)))
| ~ in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0))
| ~ in(X2,complements_of_subsets(the_carrier(esk1_0),esk2_0))
| ordered_pair(X2,X3) != esk4_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_38,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| ordered_pair(X1,X2) != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| subset_complement(the_carrier(esk1_0),X1) != X2
| ~ in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0))
| ~ in(X1,complements_of_subsets(the_carrier(esk1_0),esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_32]) ).
cnf(c_0_39,plain,
( esk11_2(X2,X1) = esk13_2(X2,X1)
| in(X3,esk18_3(X2,X1,X4))
| element(esk22_6(X2,X1,X4,X3,X6,X7),powerset(the_carrier(X2)))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| X5 != X3
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X4))
| ~ in(X6,complements_of_subsets(the_carrier(X2),X1))
| ordered_pair(X6,X7) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_40,negated_conjecture,
( esk22_6(esk1_0,esk2_0,esk3_0,esk4_1(X1),esk6_1(X2),esk7_1(X2)) = esk6_1(X2)
| esk11_2(esk1_0,esk2_0) = esk13_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| in(esk4_1(X2),X2)
| esk4_1(X2) != esk4_1(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_13]) ).
cnf(c_0_41,plain,
( esk11_2(X2,X1) = esk13_2(X2,X1)
| in(X3,esk18_3(X2,X1,X4))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| X5 != X3
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X4))
| ~ in(X6,complements_of_subsets(the_carrier(X2),X1))
| ordered_pair(X6,X7) != X3
| X7 != subset_complement(the_carrier(X2),esk22_6(X2,X1,X4,X3,X6,X7)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_42,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| element(esk5_3(X1,X2,X3),powerset(the_carrier(esk1_0)))
| ordered_pair(X2,X3) != esk4_1(X1)
| ~ in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(X2,complements_of_subsets(the_carrier(esk1_0),esk2_0))
| ~ in(esk4_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_28]),c_0_8]),c_0_9])]) ).
cnf(c_0_43,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| ordered_pair(X1,X2) != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| subset_complement(the_carrier(esk1_0),X1) != X2
| ~ in(X1,complements_of_subsets(the_carrier(esk1_0),esk2_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_28]),c_0_8]),c_0_9])]),c_0_32]) ).
cnf(c_0_44,plain,
( esk11_2(X2,X1) = esk12_2(X2,X1)
| ordered_pair(esk20_4(X2,X1,X4,X3),esk21_4(X2,X1,X4,X3)) = X3
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| ~ in(X3,esk18_3(X2,X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_45,plain,
( esk11_2(X2,X1) = esk12_2(X2,X1)
| esk21_4(X2,X1,X4,X3) = subset_complement(the_carrier(X2),X5)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| ~ in(X3,esk18_3(X2,X1,X4))
| X5 != esk20_4(X2,X1,X4,X3)
| ~ element(X5,powerset(the_carrier(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_46,plain,
( esk11_2(X1,X2) = esk13_2(X1,X2)
| in(X3,esk18_3(X1,X2,X4))
| element(esk22_6(X1,X2,X4,X3,X5,X6),powerset(the_carrier(X1)))
| ordered_pair(X5,X6) != X3
| ~ in(X3,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X4))
| ~ in(X5,complements_of_subsets(the_carrier(X1),X2))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[c_0_39]) ).
cnf(c_0_47,negated_conjecture,
( esk22_6(esk1_0,esk2_0,esk3_0,esk4_1(X1),esk6_1(X1),esk7_1(X1)) = esk6_1(X1)
| esk11_2(esk1_0,esk2_0) = esk13_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(er,[status(thm)],[c_0_40]) ).
cnf(c_0_48,plain,
( esk11_2(X1,X2) = esk13_2(X1,X2)
| in(X3,esk18_3(X1,X2,X4))
| subset_complement(the_carrier(X1),esk22_6(X1,X2,X4,X3,X5,X6)) != X6
| ordered_pair(X5,X6) != X3
| ~ in(X3,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X4))
| ~ in(X5,complements_of_subsets(the_carrier(X1),X2))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[c_0_41]) ).
cnf(c_0_49,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| element(esk5_3(esk18_3(esk1_0,esk2_0,esk3_0),X1,X2),powerset(the_carrier(esk1_0)))
| ordered_pair(X1,X2) != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,complements_of_subsets(the_carrier(esk1_0),esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_32]),c_0_32]) ).
cnf(c_0_50,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| esk11_2(X1,X2) = esk12_2(X1,X2)
| subset_complement(the_carrier(esk1_0),esk20_4(X1,X2,X3,X4)) != esk21_4(X1,X2,X3,X4)
| X4 != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk20_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(esk1_0),esk2_0))
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_51,plain,
( subset_complement(the_carrier(X1),esk20_4(X1,X2,X3,X4)) = esk21_4(X1,X2,X3,X4)
| esk11_2(X1,X2) = esk12_2(X1,X2)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(esk20_4(X1,X2,X3,X4),powerset(the_carrier(X1)))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[c_0_45]) ).
cnf(c_0_52,plain,
( esk11_2(X2,X1) = esk13_2(X2,X1)
| in(esk19_4(X2,X1,X4,X3),cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X4))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| ~ in(X3,esk18_3(X2,X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_53,plain,
( esk11_2(X2,X1) = esk13_2(X2,X1)
| esk19_4(X2,X1,X4,X3) = X3
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| ~ in(X3,esk18_3(X2,X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_54,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk13_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| element(esk6_1(X1),powerset(the_carrier(esk1_0))) ),
inference(csr,[status(thm)],[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_46,c_0_47]),c_0_8]),c_0_9])]),c_0_11]),c_0_7]),c_0_13]) ).
cnf(c_0_55,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk13_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| subset_complement(the_carrier(esk1_0),esk6_1(X1)) != esk7_1(X1) ),
inference(csr,[status(thm)],[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_48,c_0_47]),c_0_8]),c_0_9])]),c_0_11]),c_0_7]),c_0_13]) ).
cnf(c_0_56,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| element(X1,powerset(the_carrier(esk1_0)))
| ordered_pair(X1,X2) != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,complements_of_subsets(the_carrier(esk1_0),esk2_0)) ),
inference(spm,[status(thm)],[c_0_49,c_0_35]) ).
cnf(c_0_57,plain,
( esk11_2(X2,X1) = esk12_2(X2,X1)
| in(esk20_4(X2,X1,X4,X3),complements_of_subsets(the_carrier(X2),X1))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| ~ in(X3,esk18_3(X2,X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_58,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| esk11_2(esk1_0,X1) = esk12_2(esk1_0,X1)
| X2 != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk20_4(esk1_0,X1,X3,X2),complements_of_subsets(the_carrier(esk1_0),esk2_0))
| ~ in(X2,esk18_3(esk1_0,X1,X3))
| ~ element(esk20_4(esk1_0,X1,X3,X2),powerset(the_carrier(esk1_0)))
| ~ element(X1,powerset(powerset(the_carrier(esk1_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_9])]) ).
cnf(c_0_59,plain,
( esk11_2(X1,X2) = esk13_2(X1,X2)
| in(X3,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X4))
| ~ in(X3,esk18_3(X1,X2,X4))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_60,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk13_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_23,c_0_54]),c_0_55]) ).
cnf(c_0_61,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| element(esk20_4(esk1_0,esk2_0,X1,X2),powerset(the_carrier(esk1_0)))
| ordered_pair(esk20_4(esk1_0,esk2_0,X1,X2),X3) != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(X2,esk18_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_8]),c_0_9])]) ).
cnf(c_0_62,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| X1 != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,esk18_3(esk1_0,esk2_0,X2))
| ~ element(esk20_4(esk1_0,esk2_0,X2,X1),powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_57]),c_0_8]),c_0_9])]) ).
cnf(c_0_63,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk13_2(esk1_0,esk2_0)
| esk5_3(X1,X2,X3) = X2
| ordered_pair(X2,X3) != esk4_1(X1)
| ~ in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(X2,complements_of_subsets(the_carrier(esk1_0),esk2_0))
| ~ in(esk4_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_59]),c_0_8]),c_0_9])]) ).
cnf(c_0_64,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk13_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_60]) ).
cnf(c_0_65,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| X1 != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,esk18_3(esk1_0,esk2_0,X2)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_44]),c_0_8]),c_0_9])]),c_0_62]) ).
cnf(c_0_66,plain,
( in(esk19_4(X2,X1,X4,X3),cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X4))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| esk12_2(X2,X1) != esk13_2(X2,X1)
| ~ in(X3,esk18_3(X2,X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_67,plain,
( esk19_4(X2,X1,X4,X3) = X3
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| esk12_2(X2,X1) != esk13_2(X2,X1)
| ~ in(X3,esk18_3(X2,X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_68,negated_conjecture,
( esk5_3(esk18_3(esk1_0,esk2_0,esk3_0),X1,X2) = X1
| esk11_2(esk1_0,esk2_0) = esk13_2(esk1_0,esk2_0)
| ordered_pair(X1,X2) != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,complements_of_subsets(the_carrier(esk1_0),esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_64]) ).
cnf(c_0_69,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| ~ in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),esk18_3(esk1_0,esk2_0,X1)) ),
inference(er,[status(thm)],[c_0_65]) ).
cnf(c_0_70,plain,
( in(X1,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4))
| esk13_2(X2,X3) != esk12_2(X2,X3)
| ~ in(X1,esk18_3(X2,X3,X4))
| ~ element(X3,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_71,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk13_2(esk1_0,esk2_0)
| ordered_pair(X1,X2) != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| subset_complement(the_carrier(esk1_0),X1) != X2
| ~ in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0))
| ~ in(X1,complements_of_subsets(the_carrier(esk1_0),esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_68]),c_0_64]) ).
cnf(c_0_72,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk13_2(esk1_0,esk2_0)
| element(esk5_3(X1,X2,X3),powerset(the_carrier(esk1_0)))
| ordered_pair(X2,X3) != esk4_1(X1)
| ~ in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(X2,complements_of_subsets(the_carrier(esk1_0),esk2_0))
| ~ in(esk4_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_59]),c_0_8]),c_0_9])]) ).
cnf(c_0_73,negated_conjecture,
esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_69,c_0_32]) ).
cnf(c_0_74,negated_conjecture,
( element(esk5_3(X1,X2,X3),powerset(the_carrier(esk1_0)))
| esk13_2(esk1_0,esk2_0) != esk12_2(esk1_0,esk2_0)
| ordered_pair(X2,X3) != esk4_1(X1)
| ~ in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(X2,complements_of_subsets(the_carrier(esk1_0),esk2_0))
| ~ in(esk4_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_70]),c_0_8]),c_0_9])]) ).
cnf(c_0_75,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk13_2(esk1_0,esk2_0)
| ordered_pair(X1,X2) != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| subset_complement(the_carrier(esk1_0),X1) != X2
| ~ in(X1,complements_of_subsets(the_carrier(esk1_0),esk2_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_59]),c_0_8]),c_0_9])]),c_0_64]) ).
cnf(c_0_76,plain,
( esk11_2(X2,X1) = esk13_2(X2,X1)
| ordered_pair(esk20_4(X2,X1,X4,X3),esk21_4(X2,X1,X4,X3)) = X3
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| ~ in(X3,esk18_3(X2,X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_77,plain,
( esk11_2(X2,X1) = esk13_2(X2,X1)
| esk21_4(X2,X1,X4,X3) = subset_complement(the_carrier(X2),X5)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| ~ in(X3,esk18_3(X2,X1,X4))
| X5 != esk20_4(X2,X1,X4,X3)
| ~ element(X5,powerset(the_carrier(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_78,negated_conjecture,
( element(esk5_3(X1,X2,X3),powerset(the_carrier(esk1_0)))
| ordered_pair(X2,X3) != esk4_1(X1)
| ~ in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(X2,complements_of_subsets(the_carrier(esk1_0),esk2_0))
| ~ in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_73]),c_0_74]) ).
cnf(c_0_79,negated_conjecture,
( esk13_2(esk1_0,esk2_0) = esk12_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(rw,[status(thm)],[c_0_64,c_0_73]) ).
cnf(c_0_80,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk13_2(esk1_0,esk2_0)
| esk11_2(X1,X2) = esk13_2(X1,X2)
| subset_complement(the_carrier(esk1_0),esk20_4(X1,X2,X3,X4)) != esk21_4(X1,X2,X3,X4)
| X4 != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk20_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(esk1_0),esk2_0))
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_81,plain,
( subset_complement(the_carrier(X1),esk20_4(X1,X2,X3,X4)) = esk21_4(X1,X2,X3,X4)
| esk11_2(X1,X2) = esk13_2(X1,X2)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(esk20_4(X1,X2,X3,X4),powerset(the_carrier(X1)))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[c_0_77]) ).
cnf(c_0_82,negated_conjecture,
( esk13_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| element(esk5_3(esk18_3(esk1_0,esk2_0,esk3_0),X1,X2),powerset(the_carrier(esk1_0)))
| ordered_pair(X1,X2) != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,complements_of_subsets(the_carrier(esk1_0),esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_79]) ).
cnf(c_0_83,negated_conjecture,
( esk5_3(esk18_3(esk1_0,esk2_0,esk3_0),X1,X2) = X1
| esk13_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| ordered_pair(X1,X2) != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,complements_of_subsets(the_carrier(esk1_0),esk2_0)) ),
inference(rw,[status(thm)],[c_0_68,c_0_73]) ).
cnf(c_0_84,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk13_2(esk1_0,esk2_0)
| esk11_2(esk1_0,X1) = esk13_2(esk1_0,X1)
| X2 != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk20_4(esk1_0,X1,X3,X2),complements_of_subsets(the_carrier(esk1_0),esk2_0))
| ~ in(X2,esk18_3(esk1_0,X1,X3))
| ~ element(esk20_4(esk1_0,X1,X3,X2),powerset(the_carrier(esk1_0)))
| ~ element(X1,powerset(powerset(the_carrier(esk1_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_9])]) ).
cnf(c_0_85,plain,
( esk11_2(X2,X1) = esk13_2(X2,X1)
| in(esk20_4(X2,X1,X4,X3),complements_of_subsets(the_carrier(X2),X1))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| ~ in(X3,esk18_3(X2,X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_86,negated_conjecture,
( esk13_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| element(X1,powerset(the_carrier(esk1_0)))
| ordered_pair(X1,X2) != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,complements_of_subsets(the_carrier(esk1_0),esk2_0)) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_87,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk13_2(esk1_0,esk2_0)
| X1 != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,esk18_3(esk1_0,esk2_0,X2))
| ~ element(esk20_4(esk1_0,esk2_0,X2,X1),powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_8]),c_0_9])]) ).
cnf(c_0_88,negated_conjecture,
( esk13_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| element(esk20_4(esk1_0,esk2_0,X1,X2),powerset(the_carrier(esk1_0)))
| ordered_pair(esk20_4(esk1_0,esk2_0,X1,X2),X3) != esk4_1(esk18_3(esk1_0,esk2_0,esk3_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_86,c_0_85]),c_0_73]),c_0_8]),c_0_9])]) ).
cnf(c_0_89,negated_conjecture,
( esk13_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| X1 != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,esk18_3(esk1_0,esk2_0,X2))
| ~ element(esk20_4(esk1_0,esk2_0,X2,X1),powerset(the_carrier(esk1_0))) ),
inference(rw,[status(thm)],[c_0_87,c_0_73]) ).
cnf(c_0_90,plain,
( in(X3,esk18_3(X2,X1,X4))
| esk22_6(X2,X1,X4,X3,X6,X7) = X6
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| esk12_2(X2,X1) != esk13_2(X2,X1)
| X5 != X3
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X4))
| ~ in(X6,complements_of_subsets(the_carrier(X2),X1))
| ordered_pair(X6,X7) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_91,negated_conjecture,
( esk13_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| X1 != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,esk18_3(esk1_0,esk2_0,X2)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_76]),c_0_73]),c_0_8]),c_0_9])]),c_0_89]) ).
cnf(c_0_92,plain,
( esk22_6(X1,X2,X3,X4,X5,X6) = X5
| in(X4,esk18_3(X1,X2,X3))
| esk13_2(X1,X2) != esk12_2(X1,X2)
| ordered_pair(X5,X6) != X4
| ~ in(X4,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))
| ~ in(X5,complements_of_subsets(the_carrier(X1),X2))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[c_0_90]) ).
cnf(c_0_93,negated_conjecture,
( esk13_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| ~ in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),esk18_3(esk1_0,esk2_0,X1)) ),
inference(er,[status(thm)],[c_0_91]) ).
cnf(c_0_94,negated_conjecture,
( esk22_6(esk1_0,esk2_0,esk3_0,esk4_1(X1),X2,X3) = X2
| in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| esk13_2(esk1_0,esk2_0) != esk12_2(esk1_0,esk2_0)
| ordered_pair(X2,X3) != esk4_1(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(spm,[status(thm)],[c_0_92,c_0_7]),c_0_8]),c_0_9])]) ).
cnf(c_0_95,negated_conjecture,
esk13_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_93,c_0_79]) ).
cnf(c_0_96,negated_conjecture,
( esk22_6(esk1_0,esk2_0,esk3_0,esk4_1(X1),X2,X3) = X2
| in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| ordered_pair(X2,X3) != esk4_1(X1)
| ~ in(X2,complements_of_subsets(the_carrier(esk1_0),esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_95])]) ).
cnf(c_0_97,negated_conjecture,
( esk22_6(esk1_0,esk2_0,esk3_0,esk4_1(X1),esk6_1(X2),X3) = esk6_1(X2)
| in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X2),X2)
| in(esk4_1(X1),X1)
| ordered_pair(esk6_1(X2),X3) != esk4_1(X1) ),
inference(spm,[status(thm)],[c_0_96,c_0_11]) ).
cnf(c_0_98,plain,
( in(X3,esk18_3(X2,X1,X4))
| element(esk22_6(X2,X1,X4,X3,X6,X7),powerset(the_carrier(X2)))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| esk12_2(X2,X1) != esk13_2(X2,X1)
| X5 != X3
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X4))
| ~ in(X6,complements_of_subsets(the_carrier(X2),X1))
| ordered_pair(X6,X7) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_99,negated_conjecture,
( esk22_6(esk1_0,esk2_0,esk3_0,esk4_1(X1),esk6_1(X2),esk7_1(X2)) = esk6_1(X2)
| in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| in(esk4_1(X2),X2)
| esk4_1(X2) != esk4_1(X1) ),
inference(spm,[status(thm)],[c_0_97,c_0_13]) ).
cnf(c_0_100,plain,
( in(X3,esk18_3(X2,X1,X4))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| esk12_2(X2,X1) != esk13_2(X2,X1)
| X5 != X3
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X2),X1),X4))
| ~ in(X6,complements_of_subsets(the_carrier(X2),X1))
| ordered_pair(X6,X7) != X3
| X7 != subset_complement(the_carrier(X2),esk22_6(X2,X1,X4,X3,X6,X7)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_101,plain,
( in(X1,esk18_3(X2,X3,X4))
| element(esk22_6(X2,X3,X4,X1,X5,X6),powerset(the_carrier(X2)))
| esk13_2(X2,X3) != esk12_2(X2,X3)
| ordered_pair(X5,X6) != X1
| ~ in(X1,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4))
| ~ in(X5,complements_of_subsets(the_carrier(X2),X3))
| ~ element(X3,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2) ),
inference(er,[status(thm)],[c_0_98]) ).
cnf(c_0_102,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(er,[status(thm)],[c_0_99]) ).
cnf(c_0_103,plain,
( in(X1,esk18_3(X2,X3,X4))
| subset_complement(the_carrier(X2),esk22_6(X2,X3,X4,X1,X5,X6)) != X6
| esk13_2(X2,X3) != esk12_2(X2,X3)
| ordered_pair(X5,X6) != X1
| ~ in(X1,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4))
| ~ in(X5,complements_of_subsets(the_carrier(X2),X3))
| ~ element(X3,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2) ),
inference(er,[status(thm)],[c_0_100]) ).
cnf(c_0_104,negated_conjecture,
( in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| element(esk6_1(X1),powerset(the_carrier(esk1_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_95]),c_0_8]),c_0_9])]),c_0_11]),c_0_7]),c_0_13]) ).
cnf(c_0_105,negated_conjecture,
( in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| subset_complement(the_carrier(esk1_0),esk6_1(X1)) != esk7_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_102]),c_0_95]),c_0_8]),c_0_9])]),c_0_11]),c_0_7]),c_0_13]) ).
cnf(c_0_106,negated_conjecture,
( esk5_3(X1,X2,X3) = X2
| esk13_2(esk1_0,esk2_0) != esk12_2(esk1_0,esk2_0)
| ordered_pair(X2,X3) != esk4_1(X1)
| ~ in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(X2,complements_of_subsets(the_carrier(esk1_0),esk2_0))
| ~ in(esk4_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_70]),c_0_8]),c_0_9])]) ).
cnf(c_0_107,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_23,c_0_104]),c_0_105]) ).
cnf(c_0_108,negated_conjecture,
( esk5_3(X1,X2,X3) = X2
| ordered_pair(X2,X3) != esk4_1(X1)
| ~ in(esk4_1(X1),esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(X2,complements_of_subsets(the_carrier(esk1_0),esk2_0))
| ~ in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_73]),c_0_106]) ).
cnf(c_0_109,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_107]) ).
cnf(c_0_110,negated_conjecture,
( esk5_3(esk18_3(esk1_0,esk2_0,esk3_0),X1,X2) = X1
| ordered_pair(X1,X2) != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,complements_of_subsets(the_carrier(esk1_0),esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_109])]) ).
cnf(c_0_111,negated_conjecture,
( ordered_pair(X1,X2) != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| subset_complement(the_carrier(esk1_0),X1) != X2
| ~ in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(complements_of_subsets(the_carrier(esk1_0),esk2_0),esk3_0))
| ~ in(X1,complements_of_subsets(the_carrier(esk1_0),esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_110]),c_0_109])]) ).
cnf(c_0_112,negated_conjecture,
( element(esk5_3(esk18_3(esk1_0,esk2_0,esk3_0),X1,X2),powerset(the_carrier(esk1_0)))
| ordered_pair(X1,X2) != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,complements_of_subsets(the_carrier(esk1_0),esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_109]),c_0_109])]) ).
cnf(c_0_113,negated_conjecture,
( ordered_pair(X1,X2) != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| subset_complement(the_carrier(esk1_0),X1) != X2
| ~ in(X1,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_70]),c_0_95]),c_0_109]),c_0_8]),c_0_9])]) ).
cnf(c_0_114,plain,
( ordered_pair(esk20_4(X2,X1,X4,X3),esk21_4(X2,X1,X4,X3)) = X3
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| esk12_2(X2,X1) != esk13_2(X2,X1)
| ~ in(X3,esk18_3(X2,X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_115,plain,
( esk21_4(X2,X1,X4,X3) = subset_complement(the_carrier(X2),X5)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| esk12_2(X2,X1) != esk13_2(X2,X1)
| ~ in(X3,esk18_3(X2,X1,X4))
| X5 != esk20_4(X2,X1,X4,X3)
| ~ element(X5,powerset(the_carrier(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_116,negated_conjecture,
( element(X1,powerset(the_carrier(esk1_0)))
| ordered_pair(X1,X2) != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,complements_of_subsets(the_carrier(esk1_0),esk2_0)) ),
inference(spm,[status(thm)],[c_0_112,c_0_110]) ).
cnf(c_0_117,plain,
( in(esk20_4(X2,X1,X4,X3),complements_of_subsets(the_carrier(X2),X1))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| esk12_2(X2,X1) != esk13_2(X2,X1)
| ~ in(X3,esk18_3(X2,X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_118,negated_conjecture,
( subset_complement(the_carrier(esk1_0),esk20_4(X1,X2,X3,X4)) != esk21_4(X1,X2,X3,X4)
| X4 != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| esk13_2(X1,X2) != esk12_2(X1,X2)
| ~ in(esk20_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(esk1_0),esk2_0))
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_119,plain,
( subset_complement(the_carrier(X1),esk20_4(X1,X2,X3,X4)) = esk21_4(X1,X2,X3,X4)
| esk13_2(X1,X2) != esk12_2(X1,X2)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(esk20_4(X1,X2,X3,X4),powerset(the_carrier(X1)))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[c_0_115]) ).
cnf(c_0_120,negated_conjecture,
( element(esk20_4(esk1_0,esk2_0,X1,X2),powerset(the_carrier(esk1_0)))
| ordered_pair(esk20_4(esk1_0,esk2_0,X1,X2),X3) != esk4_1(esk18_3(esk1_0,esk2_0,esk3_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_116,c_0_117]),c_0_95]),c_0_8]),c_0_9])]) ).
cnf(c_0_121,negated_conjecture,
( X1 != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| esk13_2(esk1_0,X2) != esk12_2(esk1_0,X2)
| ~ in(esk20_4(esk1_0,X2,X3,X1),complements_of_subsets(the_carrier(esk1_0),esk2_0))
| ~ in(X1,esk18_3(esk1_0,X2,X3))
| ~ element(esk20_4(esk1_0,X2,X3,X1),powerset(the_carrier(esk1_0)))
| ~ element(X2,powerset(powerset(the_carrier(esk1_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_9])]) ).
cnf(c_0_122,negated_conjecture,
( element(esk20_4(esk1_0,esk2_0,X1,X2),powerset(the_carrier(esk1_0)))
| X2 != esk4_1(esk18_3(esk1_0,esk2_0,esk3_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_120,c_0_114]),c_0_95]),c_0_8]),c_0_9])]) ).
cnf(c_0_123,negated_conjecture,
( X1 != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,esk18_3(esk1_0,esk2_0,X2)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_117]),c_0_95]),c_0_8]),c_0_9])]),c_0_122]) ).
cnf(c_0_124,negated_conjecture,
~ in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),esk18_3(esk1_0,esk2_0,X1)),
inference(er,[status(thm)],[c_0_123]) ).
cnf(c_0_125,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_109,c_0_124]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU329+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 20 08:45:08 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.34/23.39 eprover: CPU time limit exceeded, terminating
% 0.34/23.40 eprover: CPU time limit exceeded, terminating
% 0.34/23.40 eprover: CPU time limit exceeded, terminating
% 0.34/23.41 eprover: CPU time limit exceeded, terminating
% 0.34/24.51 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.34/24.51
% 0.34/24.51 # Failure: Resource limit exceeded (time)
% 0.34/24.51 # OLD status Res
% 0.34/24.51 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.34/24.51 # Preprocessing time : 0.027 s
% 0.34/24.51 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.34/24.51 # Preprocessing time : 0.012 s
% 0.34/24.51
% 0.34/24.51 # Proof found!
% 0.34/24.51 # SZS status Theorem
% 0.34/24.51 # SZS output start CNFRefutation
% See solution above
% 0.34/24.51 # Proof object total steps : 126
% 0.34/24.51 # Proof object clause steps : 121
% 0.34/24.51 # Proof object formula steps : 5
% 0.34/24.51 # Proof object conjectures : 85
% 0.34/24.51 # Proof object clause conjectures : 82
% 0.34/24.51 # Proof object formula conjectures : 3
% 0.34/24.51 # Proof object initial clauses used : 33
% 0.34/24.51 # Proof object initial formulas used : 2
% 0.34/24.51 # Proof object generating inferences : 72
% 0.34/24.51 # Proof object simplifying inferences : 153
% 0.34/24.51 # Training examples: 0 positive, 0 negative
% 0.34/24.51 # Parsed axioms : 34
% 0.34/24.51 # Removed by relevancy pruning/SinE : 0
% 0.34/24.51 # Initial clauses : 144
% 0.34/24.51 # Removed in clause preprocessing : 6
% 0.34/24.51 # Initial clauses in saturation : 138
% 0.34/24.51 # Processed clauses : 5792
% 0.34/24.51 # ...of these trivial : 40
% 0.34/24.51 # ...subsumed : 2534
% 0.34/24.51 # ...remaining for further processing : 3218
% 0.34/24.51 # Other redundant clauses eliminated : 369
% 0.34/24.51 # Clauses deleted for lack of memory : 0
% 0.34/24.51 # Backward-subsumed : 408
% 0.34/24.51 # Backward-rewritten : 1303
% 0.34/24.51 # Generated clauses : 17362
% 0.34/24.51 # ...of the previous two non-trivial : 15360
% 0.34/24.51 # Contextual simplify-reflections : 5136
% 0.34/24.51 # Paramodulations : 16805
% 0.34/24.51 # Factorizations : 12
% 0.34/24.51 # Equation resolutions : 544
% 0.34/24.51 # Current number of processed clauses : 1479
% 0.34/24.51 # Positive orientable unit clauses : 19
% 0.34/24.51 # Positive unorientable unit clauses: 0
% 0.34/24.51 # Negative unit clauses : 9
% 0.34/24.51 # Non-unit-clauses : 1451
% 0.34/24.51 # Current number of unprocessed clauses: 3431
% 0.34/24.51 # ...number of literals in the above : 33166
% 0.34/24.51 # Current number of archived formulas : 0
% 0.34/24.51 # Current number of archived clauses : 1712
% 0.34/24.51 # Clause-clause subsumption calls (NU) : 2746124
% 0.34/24.51 # Rec. Clause-clause subsumption calls : 342244
% 0.34/24.51 # Non-unit clause-clause subsumptions : 7982
% 0.34/24.51 # Unit Clause-clause subsumption calls : 3789
% 0.34/24.51 # Rewrite failures with RHS unbound : 0
% 0.34/24.51 # BW rewrite match attempts : 6
% 0.34/24.51 # BW rewrite match successes : 6
% 0.34/24.51 # Condensation attempts : 0
% 0.34/24.51 # Condensation successes : 0
% 0.34/24.51 # Termbank termtop insertions : 898802
% 0.34/24.51
% 0.34/24.51 # -------------------------------------------------
% 0.34/24.51 # User time : 0.829 s
% 0.34/24.51 # System time : 0.008 s
% 0.34/24.51 # Total time : 0.837 s
% 0.34/24.51 # Maximum resident set size: 11384 pages
% 0.34/46.44 eprover: CPU time limit exceeded, terminating
% 0.34/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/46.45 eprover: No such file or directory
% 0.34/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/46.46 eprover: No such file or directory
% 0.34/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/46.46 eprover: No such file or directory
% 0.34/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/46.47 eprover: No such file or directory
% 0.34/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/46.47 eprover: No such file or directory
% 0.34/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/46.48 eprover: No such file or directory
% 0.34/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/46.48 eprover: No such file or directory
% 0.34/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/46.49 eprover: No such file or directory
% 0.34/46.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/46.50 eprover: No such file or directory
% 0.34/46.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/46.50 eprover: No such file or directory
%------------------------------------------------------------------------------