TSTP Solution File: SEU332+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU332+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n029.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 09:19:04 EDT 2022
% Result : Theorem 0.35s 28.54s
% Output : CNFRefutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 2
% Syntax : Number of formulae : 138 ( 8 unt; 0 def)
% Number of atoms : 1290 ( 454 equ)
% Maximal formula atoms : 518 ( 9 avg)
% Number of connectives : 1956 ( 804 ~;1035 |; 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 : 24 ( 24 usr; 3 con; 0-6 aty)
% Number of variables : 455 ( 13 sgn 35 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s1_tarski__e4_7_2__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,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,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(X2,X3))
& X6 = X5
& ? [X13,X14] :
( ordered_pair(X13,X14) = X5
& in(X13,X2)
& ! [X15] :
( element(X15,powerset(the_carrier(X1)))
=> ( X15 = X13
=> X14 = subset_complement(the_carrier(X1),X15) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',s1_tarski__e4_7_2__tops_2__2) ).
fof(s1_xboole_0__e4_7_2__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(X2,X3))
& ? [X6,X7] :
( ordered_pair(X6,X7) = X5
& in(X6,X2)
& ! [X8] :
( element(X8,powerset(the_carrier(X1)))
=> ( X8 = X6
=> X7 = subset_complement(the_carrier(X1),X8) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',s1_xboole_0__e4_7_2__tops_2__1) ).
fof(c_0_2,plain,
! [X16,X17,X24,X27,X18,X29,X33,X29,X34,X35,X36] :
( ( in(esk16_4(X16,X17,X18,X29),cartesian_product2(X17,X18))
| ~ in(X29,esk15_3(X16,X17,X18))
| esk8_2(X16,X17) = esk9_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk16_4(X16,X17,X18,X29) = X29
| ~ in(X29,esk15_3(X16,X17,X18))
| esk8_2(X16,X17) = esk9_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ordered_pair(esk17_4(X16,X17,X18,X29),esk18_4(X16,X17,X18,X29)) = X29
| ~ in(X29,esk15_3(X16,X17,X18))
| esk8_2(X16,X17) = esk9_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk17_4(X16,X17,X18,X29),X17)
| ~ in(X29,esk15_3(X16,X17,X18))
| esk8_2(X16,X17) = esk9_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ~ element(X33,powerset(the_carrier(X16)))
| X33 != esk17_4(X16,X17,X18,X29)
| esk18_4(X16,X17,X18,X29) = subset_complement(the_carrier(X16),X33)
| ~ in(X29,esk15_3(X16,X17,X18))
| esk8_2(X16,X17) = esk9_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( element(esk19_6(X16,X17,X18,X29,X35,X36),powerset(the_carrier(X16)))
| ordered_pair(X35,X36) != X29
| ~ in(X35,X17)
| ~ in(X34,cartesian_product2(X17,X18))
| X34 != X29
| in(X29,esk15_3(X16,X17,X18))
| esk8_2(X16,X17) = esk9_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk19_6(X16,X17,X18,X29,X35,X36) = X35
| ordered_pair(X35,X36) != X29
| ~ in(X35,X17)
| ~ in(X34,cartesian_product2(X17,X18))
| X34 != X29
| in(X29,esk15_3(X16,X17,X18))
| esk8_2(X16,X17) = esk9_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( X36 != subset_complement(the_carrier(X16),esk19_6(X16,X17,X18,X29,X35,X36))
| ordered_pair(X35,X36) != X29
| ~ in(X35,X17)
| ~ in(X34,cartesian_product2(X17,X18))
| X34 != X29
| in(X29,esk15_3(X16,X17,X18))
| esk8_2(X16,X17) = esk9_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk16_4(X16,X17,X18,X29),cartesian_product2(X17,X18))
| ~ in(X29,esk15_3(X16,X17,X18))
| ordered_pair(esk11_2(X16,X17),esk12_2(X16,X17)) = esk9_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk16_4(X16,X17,X18,X29) = X29
| ~ in(X29,esk15_3(X16,X17,X18))
| ordered_pair(esk11_2(X16,X17),esk12_2(X16,X17)) = esk9_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ordered_pair(esk17_4(X16,X17,X18,X29),esk18_4(X16,X17,X18,X29)) = X29
| ~ in(X29,esk15_3(X16,X17,X18))
| ordered_pair(esk11_2(X16,X17),esk12_2(X16,X17)) = esk9_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk17_4(X16,X17,X18,X29),X17)
| ~ in(X29,esk15_3(X16,X17,X18))
| ordered_pair(esk11_2(X16,X17),esk12_2(X16,X17)) = esk9_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ~ element(X33,powerset(the_carrier(X16)))
| X33 != esk17_4(X16,X17,X18,X29)
| esk18_4(X16,X17,X18,X29) = subset_complement(the_carrier(X16),X33)
| ~ in(X29,esk15_3(X16,X17,X18))
| ordered_pair(esk11_2(X16,X17),esk12_2(X16,X17)) = esk9_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( element(esk19_6(X16,X17,X18,X29,X35,X36),powerset(the_carrier(X16)))
| ordered_pair(X35,X36) != X29
| ~ in(X35,X17)
| ~ in(X34,cartesian_product2(X17,X18))
| X34 != X29
| in(X29,esk15_3(X16,X17,X18))
| ordered_pair(esk11_2(X16,X17),esk12_2(X16,X17)) = esk9_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk19_6(X16,X17,X18,X29,X35,X36) = X35
| ordered_pair(X35,X36) != X29
| ~ in(X35,X17)
| ~ in(X34,cartesian_product2(X17,X18))
| X34 != X29
| in(X29,esk15_3(X16,X17,X18))
| ordered_pair(esk11_2(X16,X17),esk12_2(X16,X17)) = esk9_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( X36 != subset_complement(the_carrier(X16),esk19_6(X16,X17,X18,X29,X35,X36))
| ordered_pair(X35,X36) != X29
| ~ in(X35,X17)
| ~ in(X34,cartesian_product2(X17,X18))
| X34 != X29
| in(X29,esk15_3(X16,X17,X18))
| ordered_pair(esk11_2(X16,X17),esk12_2(X16,X17)) = esk9_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk16_4(X16,X17,X18,X29),cartesian_product2(X17,X18))
| ~ in(X29,esk15_3(X16,X17,X18))
| in(esk11_2(X16,X17),X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk16_4(X16,X17,X18,X29) = X29
| ~ in(X29,esk15_3(X16,X17,X18))
| in(esk11_2(X16,X17),X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ordered_pair(esk17_4(X16,X17,X18,X29),esk18_4(X16,X17,X18,X29)) = X29
| ~ in(X29,esk15_3(X16,X17,X18))
| in(esk11_2(X16,X17),X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk17_4(X16,X17,X18,X29),X17)
| ~ in(X29,esk15_3(X16,X17,X18))
| in(esk11_2(X16,X17),X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ~ element(X33,powerset(the_carrier(X16)))
| X33 != esk17_4(X16,X17,X18,X29)
| esk18_4(X16,X17,X18,X29) = subset_complement(the_carrier(X16),X33)
| ~ in(X29,esk15_3(X16,X17,X18))
| in(esk11_2(X16,X17),X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( element(esk19_6(X16,X17,X18,X29,X35,X36),powerset(the_carrier(X16)))
| ordered_pair(X35,X36) != X29
| ~ in(X35,X17)
| ~ in(X34,cartesian_product2(X17,X18))
| X34 != X29
| in(X29,esk15_3(X16,X17,X18))
| in(esk11_2(X16,X17),X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk19_6(X16,X17,X18,X29,X35,X36) = X35
| ordered_pair(X35,X36) != X29
| ~ in(X35,X17)
| ~ in(X34,cartesian_product2(X17,X18))
| X34 != X29
| in(X29,esk15_3(X16,X17,X18))
| in(esk11_2(X16,X17),X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( X36 != subset_complement(the_carrier(X16),esk19_6(X16,X17,X18,X29,X35,X36))
| ordered_pair(X35,X36) != X29
| ~ in(X35,X17)
| ~ in(X34,cartesian_product2(X17,X18))
| X34 != X29
| in(X29,esk15_3(X16,X17,X18))
| in(esk11_2(X16,X17),X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk16_4(X16,X17,X18,X29),cartesian_product2(X17,X18))
| ~ in(X29,esk15_3(X16,X17,X18))
| ~ element(X24,powerset(the_carrier(X16)))
| X24 != esk11_2(X16,X17)
| esk12_2(X16,X17) = subset_complement(the_carrier(X16),X24)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk16_4(X16,X17,X18,X29) = X29
| ~ in(X29,esk15_3(X16,X17,X18))
| ~ element(X24,powerset(the_carrier(X16)))
| X24 != esk11_2(X16,X17)
| esk12_2(X16,X17) = subset_complement(the_carrier(X16),X24)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ordered_pair(esk17_4(X16,X17,X18,X29),esk18_4(X16,X17,X18,X29)) = X29
| ~ in(X29,esk15_3(X16,X17,X18))
| ~ element(X24,powerset(the_carrier(X16)))
| X24 != esk11_2(X16,X17)
| esk12_2(X16,X17) = subset_complement(the_carrier(X16),X24)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk17_4(X16,X17,X18,X29),X17)
| ~ in(X29,esk15_3(X16,X17,X18))
| ~ element(X24,powerset(the_carrier(X16)))
| X24 != esk11_2(X16,X17)
| esk12_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 != esk17_4(X16,X17,X18,X29)
| esk18_4(X16,X17,X18,X29) = subset_complement(the_carrier(X16),X33)
| ~ in(X29,esk15_3(X16,X17,X18))
| ~ element(X24,powerset(the_carrier(X16)))
| X24 != esk11_2(X16,X17)
| esk12_2(X16,X17) = subset_complement(the_carrier(X16),X24)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( element(esk19_6(X16,X17,X18,X29,X35,X36),powerset(the_carrier(X16)))
| ordered_pair(X35,X36) != X29
| ~ in(X35,X17)
| ~ in(X34,cartesian_product2(X17,X18))
| X34 != X29
| in(X29,esk15_3(X16,X17,X18))
| ~ element(X24,powerset(the_carrier(X16)))
| X24 != esk11_2(X16,X17)
| esk12_2(X16,X17) = subset_complement(the_carrier(X16),X24)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk19_6(X16,X17,X18,X29,X35,X36) = X35
| ordered_pair(X35,X36) != X29
| ~ in(X35,X17)
| ~ in(X34,cartesian_product2(X17,X18))
| X34 != X29
| in(X29,esk15_3(X16,X17,X18))
| ~ element(X24,powerset(the_carrier(X16)))
| X24 != esk11_2(X16,X17)
| esk12_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),esk19_6(X16,X17,X18,X29,X35,X36))
| ordered_pair(X35,X36) != X29
| ~ in(X35,X17)
| ~ in(X34,cartesian_product2(X17,X18))
| X34 != X29
| in(X29,esk15_3(X16,X17,X18))
| ~ element(X24,powerset(the_carrier(X16)))
| X24 != esk11_2(X16,X17)
| esk12_2(X16,X17) = subset_complement(the_carrier(X16),X24)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk16_4(X16,X17,X18,X29),cartesian_product2(X17,X18))
| ~ in(X29,esk15_3(X16,X17,X18))
| esk8_2(X16,X17) = esk10_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk16_4(X16,X17,X18,X29) = X29
| ~ in(X29,esk15_3(X16,X17,X18))
| esk8_2(X16,X17) = esk10_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ordered_pair(esk17_4(X16,X17,X18,X29),esk18_4(X16,X17,X18,X29)) = X29
| ~ in(X29,esk15_3(X16,X17,X18))
| esk8_2(X16,X17) = esk10_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk17_4(X16,X17,X18,X29),X17)
| ~ in(X29,esk15_3(X16,X17,X18))
| esk8_2(X16,X17) = esk10_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ~ element(X33,powerset(the_carrier(X16)))
| X33 != esk17_4(X16,X17,X18,X29)
| esk18_4(X16,X17,X18,X29) = subset_complement(the_carrier(X16),X33)
| ~ in(X29,esk15_3(X16,X17,X18))
| esk8_2(X16,X17) = esk10_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( element(esk19_6(X16,X17,X18,X29,X35,X36),powerset(the_carrier(X16)))
| ordered_pair(X35,X36) != X29
| ~ in(X35,X17)
| ~ in(X34,cartesian_product2(X17,X18))
| X34 != X29
| in(X29,esk15_3(X16,X17,X18))
| esk8_2(X16,X17) = esk10_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk19_6(X16,X17,X18,X29,X35,X36) = X35
| ordered_pair(X35,X36) != X29
| ~ in(X35,X17)
| ~ in(X34,cartesian_product2(X17,X18))
| X34 != X29
| in(X29,esk15_3(X16,X17,X18))
| esk8_2(X16,X17) = esk10_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( X36 != subset_complement(the_carrier(X16),esk19_6(X16,X17,X18,X29,X35,X36))
| ordered_pair(X35,X36) != X29
| ~ in(X35,X17)
| ~ in(X34,cartesian_product2(X17,X18))
| X34 != X29
| in(X29,esk15_3(X16,X17,X18))
| esk8_2(X16,X17) = esk10_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk16_4(X16,X17,X18,X29),cartesian_product2(X17,X18))
| ~ in(X29,esk15_3(X16,X17,X18))
| ordered_pair(esk13_2(X16,X17),esk14_2(X16,X17)) = esk10_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk16_4(X16,X17,X18,X29) = X29
| ~ in(X29,esk15_3(X16,X17,X18))
| ordered_pair(esk13_2(X16,X17),esk14_2(X16,X17)) = esk10_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ordered_pair(esk17_4(X16,X17,X18,X29),esk18_4(X16,X17,X18,X29)) = X29
| ~ in(X29,esk15_3(X16,X17,X18))
| ordered_pair(esk13_2(X16,X17),esk14_2(X16,X17)) = esk10_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk17_4(X16,X17,X18,X29),X17)
| ~ in(X29,esk15_3(X16,X17,X18))
| ordered_pair(esk13_2(X16,X17),esk14_2(X16,X17)) = esk10_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ~ element(X33,powerset(the_carrier(X16)))
| X33 != esk17_4(X16,X17,X18,X29)
| esk18_4(X16,X17,X18,X29) = subset_complement(the_carrier(X16),X33)
| ~ in(X29,esk15_3(X16,X17,X18))
| ordered_pair(esk13_2(X16,X17),esk14_2(X16,X17)) = esk10_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( element(esk19_6(X16,X17,X18,X29,X35,X36),powerset(the_carrier(X16)))
| ordered_pair(X35,X36) != X29
| ~ in(X35,X17)
| ~ in(X34,cartesian_product2(X17,X18))
| X34 != X29
| in(X29,esk15_3(X16,X17,X18))
| ordered_pair(esk13_2(X16,X17),esk14_2(X16,X17)) = esk10_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk19_6(X16,X17,X18,X29,X35,X36) = X35
| ordered_pair(X35,X36) != X29
| ~ in(X35,X17)
| ~ in(X34,cartesian_product2(X17,X18))
| X34 != X29
| in(X29,esk15_3(X16,X17,X18))
| ordered_pair(esk13_2(X16,X17),esk14_2(X16,X17)) = esk10_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( X36 != subset_complement(the_carrier(X16),esk19_6(X16,X17,X18,X29,X35,X36))
| ordered_pair(X35,X36) != X29
| ~ in(X35,X17)
| ~ in(X34,cartesian_product2(X17,X18))
| X34 != X29
| in(X29,esk15_3(X16,X17,X18))
| ordered_pair(esk13_2(X16,X17),esk14_2(X16,X17)) = esk10_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk16_4(X16,X17,X18,X29),cartesian_product2(X17,X18))
| ~ in(X29,esk15_3(X16,X17,X18))
| in(esk13_2(X16,X17),X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk16_4(X16,X17,X18,X29) = X29
| ~ in(X29,esk15_3(X16,X17,X18))
| in(esk13_2(X16,X17),X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ordered_pair(esk17_4(X16,X17,X18,X29),esk18_4(X16,X17,X18,X29)) = X29
| ~ in(X29,esk15_3(X16,X17,X18))
| in(esk13_2(X16,X17),X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk17_4(X16,X17,X18,X29),X17)
| ~ in(X29,esk15_3(X16,X17,X18))
| in(esk13_2(X16,X17),X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ~ element(X33,powerset(the_carrier(X16)))
| X33 != esk17_4(X16,X17,X18,X29)
| esk18_4(X16,X17,X18,X29) = subset_complement(the_carrier(X16),X33)
| ~ in(X29,esk15_3(X16,X17,X18))
| in(esk13_2(X16,X17),X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( element(esk19_6(X16,X17,X18,X29,X35,X36),powerset(the_carrier(X16)))
| ordered_pair(X35,X36) != X29
| ~ in(X35,X17)
| ~ in(X34,cartesian_product2(X17,X18))
| X34 != X29
| in(X29,esk15_3(X16,X17,X18))
| in(esk13_2(X16,X17),X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk19_6(X16,X17,X18,X29,X35,X36) = X35
| ordered_pair(X35,X36) != X29
| ~ in(X35,X17)
| ~ in(X34,cartesian_product2(X17,X18))
| X34 != X29
| in(X29,esk15_3(X16,X17,X18))
| in(esk13_2(X16,X17),X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( X36 != subset_complement(the_carrier(X16),esk19_6(X16,X17,X18,X29,X35,X36))
| ordered_pair(X35,X36) != X29
| ~ in(X35,X17)
| ~ in(X34,cartesian_product2(X17,X18))
| X34 != X29
| in(X29,esk15_3(X16,X17,X18))
| in(esk13_2(X16,X17),X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk16_4(X16,X17,X18,X29),cartesian_product2(X17,X18))
| ~ in(X29,esk15_3(X16,X17,X18))
| ~ element(X27,powerset(the_carrier(X16)))
| X27 != esk13_2(X16,X17)
| esk14_2(X16,X17) = subset_complement(the_carrier(X16),X27)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk16_4(X16,X17,X18,X29) = X29
| ~ in(X29,esk15_3(X16,X17,X18))
| ~ element(X27,powerset(the_carrier(X16)))
| X27 != esk13_2(X16,X17)
| esk14_2(X16,X17) = subset_complement(the_carrier(X16),X27)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ordered_pair(esk17_4(X16,X17,X18,X29),esk18_4(X16,X17,X18,X29)) = X29
| ~ in(X29,esk15_3(X16,X17,X18))
| ~ element(X27,powerset(the_carrier(X16)))
| X27 != esk13_2(X16,X17)
| esk14_2(X16,X17) = subset_complement(the_carrier(X16),X27)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk17_4(X16,X17,X18,X29),X17)
| ~ in(X29,esk15_3(X16,X17,X18))
| ~ element(X27,powerset(the_carrier(X16)))
| X27 != esk13_2(X16,X17)
| esk14_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 != esk17_4(X16,X17,X18,X29)
| esk18_4(X16,X17,X18,X29) = subset_complement(the_carrier(X16),X33)
| ~ in(X29,esk15_3(X16,X17,X18))
| ~ element(X27,powerset(the_carrier(X16)))
| X27 != esk13_2(X16,X17)
| esk14_2(X16,X17) = subset_complement(the_carrier(X16),X27)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( element(esk19_6(X16,X17,X18,X29,X35,X36),powerset(the_carrier(X16)))
| ordered_pair(X35,X36) != X29
| ~ in(X35,X17)
| ~ in(X34,cartesian_product2(X17,X18))
| X34 != X29
| in(X29,esk15_3(X16,X17,X18))
| ~ element(X27,powerset(the_carrier(X16)))
| X27 != esk13_2(X16,X17)
| esk14_2(X16,X17) = subset_complement(the_carrier(X16),X27)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk19_6(X16,X17,X18,X29,X35,X36) = X35
| ordered_pair(X35,X36) != X29
| ~ in(X35,X17)
| ~ in(X34,cartesian_product2(X17,X18))
| X34 != X29
| in(X29,esk15_3(X16,X17,X18))
| ~ element(X27,powerset(the_carrier(X16)))
| X27 != esk13_2(X16,X17)
| esk14_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),esk19_6(X16,X17,X18,X29,X35,X36))
| ordered_pair(X35,X36) != X29
| ~ in(X35,X17)
| ~ in(X34,cartesian_product2(X17,X18))
| X34 != X29
| in(X29,esk15_3(X16,X17,X18))
| ~ element(X27,powerset(the_carrier(X16)))
| X27 != esk13_2(X16,X17)
| esk14_2(X16,X17) = subset_complement(the_carrier(X16),X27)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk16_4(X16,X17,X18,X29),cartesian_product2(X17,X18))
| ~ in(X29,esk15_3(X16,X17,X18))
| esk9_2(X16,X17) != esk10_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk16_4(X16,X17,X18,X29) = X29
| ~ in(X29,esk15_3(X16,X17,X18))
| esk9_2(X16,X17) != esk10_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ordered_pair(esk17_4(X16,X17,X18,X29),esk18_4(X16,X17,X18,X29)) = X29
| ~ in(X29,esk15_3(X16,X17,X18))
| esk9_2(X16,X17) != esk10_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( in(esk17_4(X16,X17,X18,X29),X17)
| ~ in(X29,esk15_3(X16,X17,X18))
| esk9_2(X16,X17) != esk10_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( ~ element(X33,powerset(the_carrier(X16)))
| X33 != esk17_4(X16,X17,X18,X29)
| esk18_4(X16,X17,X18,X29) = subset_complement(the_carrier(X16),X33)
| ~ in(X29,esk15_3(X16,X17,X18))
| esk9_2(X16,X17) != esk10_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( element(esk19_6(X16,X17,X18,X29,X35,X36),powerset(the_carrier(X16)))
| ordered_pair(X35,X36) != X29
| ~ in(X35,X17)
| ~ in(X34,cartesian_product2(X17,X18))
| X34 != X29
| in(X29,esk15_3(X16,X17,X18))
| esk9_2(X16,X17) != esk10_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( esk19_6(X16,X17,X18,X29,X35,X36) = X35
| ordered_pair(X35,X36) != X29
| ~ in(X35,X17)
| ~ in(X34,cartesian_product2(X17,X18))
| X34 != X29
| in(X29,esk15_3(X16,X17,X18))
| esk9_2(X16,X17) != esk10_2(X16,X17)
| ~ one_sorted_str(X16)
| ~ element(X17,powerset(powerset(the_carrier(X16)))) )
& ( X36 != subset_complement(the_carrier(X16),esk19_6(X16,X17,X18,X29,X35,X36))
| ordered_pair(X35,X36) != X29
| ~ in(X35,X17)
| ~ in(X34,cartesian_product2(X17,X18))
| X34 != X29
| in(X29,esk15_3(X16,X17,X18))
| esk9_2(X16,X17) != esk10_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_2__tops_2__2])])])])])])]) ).
cnf(c_0_3,plain,
( esk8_2(X2,X1) = esk9_2(X2,X1)
| in(X3,esk15_3(X2,X1,X4))
| element(esk19_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(X1,X4))
| ~ in(X6,X1)
| ordered_pair(X6,X7) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,plain,
( esk8_2(X2,X1) = esk9_2(X2,X1)
| in(X3,esk15_3(X2,X1,X4))
| esk19_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(X1,X4))
| ~ in(X6,X1)
| ordered_pair(X6,X7) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_5,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(X2,X3))
& ? [X6,X7] :
( ordered_pair(X6,X7) = X5
& in(X6,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_2__tops_2__1]) ).
cnf(c_0_6,plain,
( esk8_2(X1,X2) = esk9_2(X1,X2)
| in(X3,esk15_3(X1,X2,X4))
| element(esk19_6(X1,X2,X4,X3,X5,X6),powerset(the_carrier(X1)))
| ordered_pair(X5,X6) != X3
| ~ in(X3,cartesian_product2(X2,X4))
| ~ in(X5,X2)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[c_0_3]) ).
cnf(c_0_7,plain,
( esk19_6(X1,X2,X3,X4,X5,X6) = X5
| esk8_2(X1,X2) = esk9_2(X1,X2)
| in(X4,esk15_3(X1,X2,X3))
| ordered_pair(X5,X6) != X4
| ~ in(X4,cartesian_product2(X2,X3))
| ~ in(X5,X2)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[c_0_4]) ).
fof(c_0_8,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,esk2_0)
| ~ in(esk4_1(X12),cartesian_product2(esk2_0,esk3_0))
| ~ in(esk4_1(X12),X12) )
& ( esk5_3(X12,X14,X15) = X14
| ordered_pair(X14,X15) != esk4_1(X12)
| ~ in(X14,esk2_0)
| ~ in(esk4_1(X12),cartesian_product2(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,esk2_0)
| ~ in(esk4_1(X12),cartesian_product2(esk2_0,esk3_0))
| ~ in(esk4_1(X12),X12) )
& ( in(esk4_1(X12),cartesian_product2(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),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_5])])])])])])]) ).
cnf(c_0_9,plain,
( esk8_2(X1,X2) = esk9_2(X1,X2)
| in(X3,esk15_3(X1,X2,X4))
| element(X5,powerset(the_carrier(X1)))
| ordered_pair(X5,X6) != X3
| ~ in(X3,cartesian_product2(X2,X4))
| ~ in(X5,X2)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk4_1(X1),cartesian_product2(esk2_0,esk3_0)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
( esk8_2(X2,X1) = esk9_2(X2,X1)
| in(X3,esk15_3(X2,X1,X4))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| X5 != X3
| ~ in(X5,cartesian_product2(X1,X4))
| ~ in(X6,X1)
| ordered_pair(X6,X7) != X3
| X7 != subset_complement(the_carrier(X2),esk19_6(X2,X1,X4,X3,X6,X7)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_12,negated_conjecture,
( esk8_2(X1,esk2_0) = esk9_2(X1,esk2_0)
| in(esk4_1(X2),esk15_3(X1,esk2_0,esk3_0))
| in(esk4_1(X2),X2)
| element(X3,powerset(the_carrier(X1)))
| ordered_pair(X3,X4) != esk4_1(X2)
| ~ in(X3,esk2_0)
| ~ element(esk2_0,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
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_8]) ).
cnf(c_0_14,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk6_1(X1),esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
( esk8_2(X1,X2) = esk9_2(X1,X2)
| in(X3,esk15_3(X1,X2,X4))
| subset_complement(the_carrier(X1),esk19_6(X1,X2,X4,X3,X5,X6)) != X6
| ordered_pair(X5,X6) != X3
| ~ in(X3,cartesian_product2(X2,X4))
| ~ in(X5,X2)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
( esk8_2(X1,esk2_0) = esk9_2(X1,esk2_0)
| in(esk4_1(X2),esk15_3(X1,esk2_0,esk3_0))
| in(esk4_1(X3),X3)
| in(esk4_1(X2),X2)
| element(esk6_1(X3),powerset(the_carrier(X1)))
| esk4_1(X3) != esk4_1(X2)
| ~ element(esk2_0,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_17,plain,
( esk8_2(X1,X2) = esk9_2(X1,X2)
| in(X3,esk15_3(X1,X2,X4))
| subset_complement(the_carrier(X1),X5) != X6
| ordered_pair(X5,X6) != X3
| ~ in(X3,cartesian_product2(X2,X4))
| ~ in(X5,X2)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_7]) ).
cnf(c_0_18,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_8]) ).
cnf(c_0_19,negated_conjecture,
( esk8_2(X1,esk2_0) = esk9_2(X1,esk2_0)
| in(esk4_1(X2),esk15_3(X1,esk2_0,esk3_0))
| in(esk4_1(X2),X2)
| element(esk6_1(X2),powerset(the_carrier(X1)))
| ~ element(esk2_0,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[c_0_16]) ).
cnf(c_0_20,negated_conjecture,
element(esk2_0,powerset(powerset(the_carrier(esk1_0)))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_21,negated_conjecture,
one_sorted_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_22,plain,
( esk8_2(X2,X1) = esk9_2(X2,X1)
| in(esk16_4(X2,X1,X4,X3),cartesian_product2(X1,X4))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| ~ in(X3,esk15_3(X2,X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_23,plain,
( esk8_2(X2,X1) = esk9_2(X2,X1)
| esk16_4(X2,X1,X4,X3) = X3
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| ~ in(X3,esk15_3(X2,X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_24,negated_conjecture,
( esk8_2(X1,esk2_0) = esk9_2(X1,esk2_0)
| in(esk4_1(X2),esk15_3(X1,esk2_0,esk3_0))
| in(esk4_1(X2),X2)
| subset_complement(the_carrier(X1),X3) != X4
| ordered_pair(X3,X4) != esk4_1(X2)
| ~ in(X3,esk2_0)
| ~ element(esk2_0,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_10]) ).
cnf(c_0_25,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_18]) ).
cnf(c_0_26,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk15_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| element(esk6_1(X1),powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_27,plain,
( esk8_2(X1,X2) = esk9_2(X1,X2)
| in(X3,cartesian_product2(X2,X4))
| ~ in(X3,esk15_3(X1,X2,X4))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
( esk8_2(X1,esk2_0) = esk9_2(X1,esk2_0)
| in(esk4_1(X2),esk15_3(X1,esk2_0,esk3_0))
| in(esk4_1(X2),X2)
| ordered_pair(X3,subset_complement(the_carrier(X1),X3)) != esk4_1(X2)
| ~ in(X3,esk2_0)
| ~ element(esk2_0,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[c_0_24]) ).
cnf(c_0_29,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| subset_complement(the_carrier(esk1_0),esk6_1(X1)) = esk7_1(X1)
| in(esk4_1(X1),esk15_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,plain,
( esk8_2(X2,X1) = esk10_2(X2,X1)
| in(X3,esk15_3(X2,X1,X4))
| element(esk19_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(X1,X4))
| ~ in(X6,X1)
| ordered_pair(X6,X7) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_31,plain,
( esk8_2(X2,X1) = esk10_2(X2,X1)
| in(X3,esk15_3(X2,X1,X4))
| esk19_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(X1,X4))
| ~ in(X6,X1)
| ordered_pair(X6,X7) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_32,negated_conjecture,
( esk8_2(X1,X2) = esk9_2(X1,X2)
| in(esk4_1(esk15_3(X1,X2,X3)),cartesian_product2(esk2_0,esk3_0))
| in(esk4_1(esk15_3(X1,X2,X3)),cartesian_product2(X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_10]) ).
cnf(c_0_33,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk15_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X2),esk15_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| in(esk4_1(X2),X2)
| ordered_pair(esk6_1(X1),esk7_1(X1)) != esk4_1(X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_20]),c_0_21])]),c_0_14]) ).
cnf(c_0_34,plain,
( esk8_2(X1,X2) = esk10_2(X1,X2)
| in(X3,esk15_3(X1,X2,X4))
| element(esk19_6(X1,X2,X4,X3,X5,X6),powerset(the_carrier(X1)))
| ordered_pair(X5,X6) != X3
| ~ in(X3,cartesian_product2(X2,X4))
| ~ in(X5,X2)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[c_0_30]) ).
cnf(c_0_35,plain,
( esk19_6(X1,X2,X3,X4,X5,X6) = X5
| esk8_2(X1,X2) = esk10_2(X1,X2)
| in(X4,esk15_3(X1,X2,X3))
| ordered_pair(X5,X6) != X4
| ~ in(X4,cartesian_product2(X2,X3))
| ~ in(X5,X2)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[c_0_31]) ).
cnf(c_0_36,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk4_1(esk15_3(esk1_0,esk2_0,X1)),cartesian_product2(esk2_0,esk3_0))
| in(esk4_1(esk15_3(esk1_0,esk2_0,X1)),cartesian_product2(esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_20]),c_0_21])]) ).
cnf(c_0_37,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk15_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X2),esk15_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_33,c_0_13]) ).
cnf(c_0_38,plain,
( esk8_2(X1,X2) = esk10_2(X1,X2)
| in(X3,esk15_3(X1,X2,X4))
| element(X5,powerset(the_carrier(X1)))
| ordered_pair(X5,X6) != X3
| ~ in(X3,cartesian_product2(X2,X4))
| ~ in(X5,X2)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,negated_conjecture,
( esk5_3(X1,X2,X3) = X2
| ~ in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),cartesian_product2(esk2_0,esk3_0))
| ~ in(X2,esk2_0)
| ordered_pair(X2,X3) != esk4_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_40,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_36]) ).
cnf(c_0_41,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk15_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(er,[status(thm)],[c_0_37]) ).
cnf(c_0_42,plain,
( esk8_2(X2,X1) = esk10_2(X2,X1)
| in(X3,esk15_3(X2,X1,X4))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| X5 != X3
| ~ in(X5,cartesian_product2(X1,X4))
| ~ in(X6,X1)
| ordered_pair(X6,X7) != X3
| X7 != subset_complement(the_carrier(X2),esk19_6(X2,X1,X4,X3,X6,X7)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_43,negated_conjecture,
( esk8_2(X1,esk2_0) = esk10_2(X1,esk2_0)
| in(esk4_1(X2),esk15_3(X1,esk2_0,esk3_0))
| in(esk4_1(X2),X2)
| element(X3,powerset(the_carrier(X1)))
| ordered_pair(X3,X4) != esk4_1(X2)
| ~ in(X3,esk2_0)
| ~ element(esk2_0,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_10]) ).
cnf(c_0_44,negated_conjecture,
( esk5_3(esk15_3(esk1_0,esk2_0,esk3_0),X1,X2) = X1
| esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| ordered_pair(X1,X2) != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)),esk15_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)),esk15_3(esk1_0,esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_41]) ).
cnf(c_0_46,negated_conjecture,
( element(esk5_3(X1,X2,X3),powerset(the_carrier(esk1_0)))
| ~ in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),cartesian_product2(esk2_0,esk3_0))
| ~ in(X2,esk2_0)
| ordered_pair(X2,X3) != esk4_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_47,plain,
( esk8_2(X1,X2) = esk10_2(X1,X2)
| in(X3,esk15_3(X1,X2,X4))
| subset_complement(the_carrier(X1),esk19_6(X1,X2,X4,X3,X5,X6)) != X6
| ordered_pair(X5,X6) != X3
| ~ in(X3,cartesian_product2(X2,X4))
| ~ in(X5,X2)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[c_0_42]) ).
cnf(c_0_48,negated_conjecture,
( esk8_2(X1,esk2_0) = esk10_2(X1,esk2_0)
| in(esk4_1(X2),esk15_3(X1,esk2_0,esk3_0))
| in(esk4_1(X3),X3)
| in(esk4_1(X2),X2)
| element(esk6_1(X3),powerset(the_carrier(X1)))
| esk4_1(X3) != esk4_1(X2)
| ~ element(esk2_0,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_13]),c_0_14]) ).
cnf(c_0_49,negated_conjecture,
( ~ in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),cartesian_product2(esk2_0,esk3_0))
| ~ in(X2,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_8]) ).
cnf(c_0_50,negated_conjecture,
( esk5_3(esk15_3(esk1_0,esk2_0,esk3_0),X1,X2) = X1
| esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| ordered_pair(X1,X2) != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_51,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| element(esk5_3(esk15_3(esk1_0,esk2_0,esk3_0),X1,X2),powerset(the_carrier(esk1_0)))
| ordered_pair(X1,X2) != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_45]),c_0_40]) ).
cnf(c_0_52,plain,
( esk8_2(X1,X2) = esk10_2(X1,X2)
| in(X3,esk15_3(X1,X2,X4))
| subset_complement(the_carrier(X1),X5) != X6
| ordered_pair(X5,X6) != X3
| ~ in(X3,cartesian_product2(X2,X4))
| ~ in(X5,X2)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_35]) ).
cnf(c_0_53,negated_conjecture,
( esk8_2(X1,esk2_0) = esk10_2(X1,esk2_0)
| in(esk4_1(X2),esk15_3(X1,esk2_0,esk3_0))
| in(esk4_1(X2),X2)
| element(esk6_1(X2),powerset(the_carrier(X1)))
| ~ element(esk2_0,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[c_0_48]) ).
cnf(c_0_54,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| ordered_pair(X1,X2) != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| subset_complement(the_carrier(esk1_0),X1) != X2
| ~ in(X1,esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_45]),c_0_40]) ).
cnf(c_0_55,plain,
( esk8_2(X2,X1) = esk9_2(X2,X1)
| ordered_pair(esk17_4(X2,X1,X4,X3),esk18_4(X2,X1,X4,X3)) = X3
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| ~ in(X3,esk15_3(X2,X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_56,plain,
( esk8_2(X2,X1) = esk9_2(X2,X1)
| esk18_4(X2,X1,X4,X3) = subset_complement(the_carrier(X2),X5)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| ~ in(X3,esk15_3(X2,X1,X4))
| X5 != esk17_4(X2,X1,X4,X3)
| ~ element(X5,powerset(the_carrier(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_57,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| element(X1,powerset(the_carrier(esk1_0)))
| ordered_pair(X1,X2) != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_51,c_0_50]) ).
cnf(c_0_58,negated_conjecture,
( esk8_2(X1,esk2_0) = esk10_2(X1,esk2_0)
| in(esk4_1(X2),esk15_3(X1,esk2_0,esk3_0))
| in(esk4_1(X2),X2)
| subset_complement(the_carrier(X1),X3) != X4
| ordered_pair(X3,X4) != esk4_1(X2)
| ~ in(X3,esk2_0)
| ~ element(esk2_0,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_10]) ).
cnf(c_0_59,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk15_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| element(esk6_1(X1),powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_20]),c_0_21])]) ).
cnf(c_0_60,plain,
( esk8_2(X2,X1) = esk10_2(X2,X1)
| in(esk16_4(X2,X1,X4,X3),cartesian_product2(X1,X4))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| ~ in(X3,esk15_3(X2,X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_61,plain,
( esk8_2(X2,X1) = esk10_2(X2,X1)
| esk16_4(X2,X1,X4,X3) = X3
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| ~ in(X3,esk15_3(X2,X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_62,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| esk8_2(X1,X2) = esk9_2(X1,X2)
| subset_complement(the_carrier(esk1_0),esk17_4(X1,X2,X3,X4)) != esk18_4(X1,X2,X3,X4)
| X4 != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk17_4(X1,X2,X3,X4),esk2_0)
| ~ in(X4,esk15_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_63,plain,
( subset_complement(the_carrier(X1),esk17_4(X1,X2,X3,X4)) = esk18_4(X1,X2,X3,X4)
| esk8_2(X1,X2) = esk9_2(X1,X2)
| ~ in(X4,esk15_3(X1,X2,X3))
| ~ element(esk17_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_56]) ).
cnf(c_0_64,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| esk8_2(X1,X2) = esk9_2(X1,X2)
| element(esk17_4(X1,X2,X3,X4),powerset(the_carrier(esk1_0)))
| X4 != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk17_4(X1,X2,X3,X4),esk2_0)
| ~ in(X4,esk15_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_55]) ).
cnf(c_0_65,negated_conjecture,
( esk8_2(X1,esk2_0) = esk10_2(X1,esk2_0)
| in(esk4_1(X2),esk15_3(X1,esk2_0,esk3_0))
| in(esk4_1(X2),X2)
| ordered_pair(X3,subset_complement(the_carrier(X1),X3)) != esk4_1(X2)
| ~ in(X3,esk2_0)
| ~ element(esk2_0,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[c_0_58]) ).
cnf(c_0_66,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| subset_complement(the_carrier(esk1_0),esk6_1(X1)) = esk7_1(X1)
| in(esk4_1(X1),esk15_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_59]) ).
cnf(c_0_67,plain,
( esk8_2(X1,X2) = esk10_2(X1,X2)
| in(X3,cartesian_product2(X2,X4))
| ~ in(X3,esk15_3(X1,X2,X4))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_68,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| esk8_2(esk1_0,X1) = esk9_2(esk1_0,X1)
| X2 != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk17_4(esk1_0,X1,X3,X2),esk2_0)
| ~ in(X2,esk15_3(esk1_0,X1,X3))
| ~ element(esk17_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_62,c_0_63]),c_0_21])]) ).
cnf(c_0_69,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| esk8_2(X1,X2) = esk9_2(X1,X2)
| element(esk17_4(X1,X2,X3,esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))),powerset(the_carrier(esk1_0)))
| ~ in(esk17_4(X1,X2,X3,esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))),esk2_0)
| ~ in(esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)),esk15_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[c_0_64]) ).
cnf(c_0_70,plain,
( in(esk16_4(X2,X1,X4,X3),cartesian_product2(X1,X4))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| esk9_2(X2,X1) != esk10_2(X2,X1)
| ~ in(X3,esk15_3(X2,X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_71,plain,
( esk16_4(X2,X1,X4,X3) = X3
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| esk9_2(X2,X1) != esk10_2(X2,X1)
| ~ in(X3,esk15_3(X2,X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_72,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk15_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X2),esk15_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| in(esk4_1(X2),X2)
| ordered_pair(esk6_1(X1),esk7_1(X1)) != esk4_1(X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_20]),c_0_21])]),c_0_14]) ).
cnf(c_0_73,negated_conjecture,
( esk8_2(X1,X2) = esk10_2(X1,X2)
| in(esk4_1(esk15_3(X1,X2,X3)),cartesian_product2(esk2_0,esk3_0))
| in(esk4_1(esk15_3(X1,X2,X3)),cartesian_product2(X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_10]) ).
cnf(c_0_74,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| esk8_2(esk1_0,X1) = esk9_2(esk1_0,X1)
| ~ in(esk17_4(esk1_0,X1,X2,esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))),esk2_0)
| ~ in(esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)),esk15_3(esk1_0,X1,X2))
| ~ element(X1,powerset(powerset(the_carrier(esk1_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_21])]) ).
cnf(c_0_75,plain,
( esk8_2(X2,X1) = esk9_2(X2,X1)
| in(esk17_4(X2,X1,X4,X3),X1)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| ~ in(X3,esk15_3(X2,X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_76,plain,
( in(X1,cartesian_product2(X2,X3))
| esk10_2(X4,X2) != esk9_2(X4,X2)
| ~ in(X1,esk15_3(X4,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X4))))
| ~ one_sorted_str(X4) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_77,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk15_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X2),esk15_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_72,c_0_13]) ).
cnf(c_0_78,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk4_1(esk15_3(esk1_0,esk2_0,X1)),cartesian_product2(esk2_0,esk3_0))
| in(esk4_1(esk15_3(esk1_0,esk2_0,X1)),cartesian_product2(esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_20]),c_0_21])]) ).
cnf(c_0_79,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| ~ in(esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)),esk15_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_20]),c_0_21])]) ).
cnf(c_0_80,negated_conjecture,
( in(esk4_1(esk15_3(X1,X2,X3)),cartesian_product2(esk2_0,esk3_0))
| in(esk4_1(esk15_3(X1,X2,X3)),cartesian_product2(X2,X3))
| esk10_2(X1,X2) != esk9_2(X1,X2)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_10]) ).
cnf(c_0_81,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk15_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(er,[status(thm)],[c_0_77]) ).
cnf(c_0_82,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_78]) ).
cnf(c_0_83,plain,
( in(X3,esk15_3(X2,X1,X4))
| element(esk19_6(X2,X1,X4,X3,X6,X7),powerset(the_carrier(X2)))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| esk9_2(X2,X1) != esk10_2(X2,X1)
| X5 != X3
| ~ in(X5,cartesian_product2(X1,X4))
| ~ in(X6,X1)
| ordered_pair(X6,X7) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_84,plain,
( in(X3,esk15_3(X2,X1,X4))
| esk19_6(X2,X1,X4,X3,X6,X7) = X6
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| esk9_2(X2,X1) != esk10_2(X2,X1)
| X5 != X3
| ~ in(X5,cartesian_product2(X1,X4))
| ~ in(X6,X1)
| ordered_pair(X6,X7) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_85,negated_conjecture,
esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_79,c_0_45]) ).
cnf(c_0_86,negated_conjecture,
( in(esk4_1(esk15_3(esk1_0,esk2_0,X1)),cartesian_product2(esk2_0,esk3_0))
| in(esk4_1(esk15_3(esk1_0,esk2_0,X1)),cartesian_product2(esk2_0,X1))
| esk10_2(esk1_0,esk2_0) != esk9_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_20]),c_0_21])]) ).
cnf(c_0_87,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)),esk15_3(esk1_0,esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_81]) ).
cnf(c_0_88,negated_conjecture,
( esk5_3(esk15_3(esk1_0,esk2_0,esk3_0),X1,X2) = X1
| esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| ordered_pair(X1,X2) != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)),esk15_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_82]) ).
cnf(c_0_89,plain,
( in(X1,esk15_3(X2,X3,X4))
| element(esk19_6(X2,X3,X4,X1,X5,X6),powerset(the_carrier(X2)))
| esk10_2(X2,X3) != esk9_2(X2,X3)
| ordered_pair(X5,X6) != X1
| ~ in(X1,cartesian_product2(X3,X4))
| ~ in(X5,X3)
| ~ element(X3,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2) ),
inference(er,[status(thm)],[c_0_83]) ).
cnf(c_0_90,plain,
( esk19_6(X1,X2,X3,X4,X5,X6) = X5
| in(X4,esk15_3(X1,X2,X3))
| esk10_2(X1,X2) != esk9_2(X1,X2)
| ordered_pair(X5,X6) != X4
| ~ in(X4,cartesian_product2(X2,X3))
| ~ in(X5,X2)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[c_0_84]) ).
cnf(c_0_91,negated_conjecture,
( in(esk4_1(esk15_3(esk1_0,esk2_0,X1)),cartesian_product2(esk2_0,esk3_0))
| in(esk4_1(esk15_3(esk1_0,esk2_0,X1)),cartesian_product2(esk2_0,X1)) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_85]),c_0_86]) ).
cnf(c_0_92,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| element(esk5_3(esk15_3(esk1_0,esk2_0,esk3_0),X1,X2),powerset(the_carrier(esk1_0)))
| ordered_pair(X1,X2) != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_87]),c_0_82]) ).
cnf(c_0_93,negated_conjecture,
( esk5_3(esk15_3(esk1_0,esk2_0,esk3_0),X1,X2) = X1
| esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| ordered_pair(X1,X2) != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_88,c_0_87]) ).
cnf(c_0_94,plain,
( in(X1,esk15_3(X2,X3,X4))
| element(X5,powerset(the_carrier(X2)))
| esk10_2(X2,X3) != esk9_2(X2,X3)
| ordered_pair(X5,X6) != X1
| ~ in(X1,cartesian_product2(X3,X4))
| ~ in(X5,X3)
| ~ element(X3,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_95,negated_conjecture,
in(esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(esk2_0,esk3_0)),
inference(ef,[status(thm)],[c_0_91]) ).
cnf(c_0_96,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| element(X1,powerset(the_carrier(esk1_0)))
| ordered_pair(X1,X2) != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_97,plain,
( in(X3,esk15_3(X2,X1,X4))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| esk9_2(X2,X1) != esk10_2(X2,X1)
| X5 != X3
| ~ in(X5,cartesian_product2(X1,X4))
| ~ in(X6,X1)
| ordered_pair(X6,X7) != X3
| X7 != subset_complement(the_carrier(X2),esk19_6(X2,X1,X4,X3,X6,X7)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_98,negated_conjecture,
( in(esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)),esk15_3(X1,esk2_0,esk3_0))
| element(X2,powerset(the_carrier(X1)))
| ordered_pair(X2,X3) != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| esk10_2(X1,esk2_0) != esk9_2(X1,esk2_0)
| ~ in(X2,esk2_0)
| ~ element(esk2_0,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_99,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk4_1(X1),X1)
| element(esk6_1(X1),powerset(the_carrier(esk1_0)))
| esk4_1(X1) != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_13]),c_0_14]) ).
cnf(c_0_100,plain,
( in(X1,esk15_3(X2,X3,X4))
| subset_complement(the_carrier(X2),esk19_6(X2,X3,X4,X1,X5,X6)) != X6
| esk10_2(X2,X3) != esk9_2(X2,X3)
| ordered_pair(X5,X6) != X1
| ~ in(X1,cartesian_product2(X3,X4))
| ~ in(X5,X3)
| ~ element(X3,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2) ),
inference(er,[status(thm)],[c_0_97]) ).
cnf(c_0_101,negated_conjecture,
( in(esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)),esk15_3(X1,esk2_0,esk3_0))
| in(esk4_1(X2),X2)
| element(esk6_1(X2),powerset(the_carrier(X1)))
| esk4_1(X2) != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| esk10_2(X1,esk2_0) != esk9_2(X1,esk2_0)
| ~ element(esk2_0,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_13]),c_0_14]) ).
cnf(c_0_102,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk4_1(X1),X1)
| element(esk6_1(X1),powerset(the_carrier(esk1_0)))
| esk4_1(X1) != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)) ),
inference(rw,[status(thm)],[c_0_99,c_0_85]) ).
cnf(c_0_103,plain,
( in(X1,esk15_3(X2,X3,X4))
| esk10_2(X2,X3) != esk9_2(X2,X3)
| subset_complement(the_carrier(X2),X5) != X6
| ordered_pair(X5,X6) != X1
| ~ in(X1,cartesian_product2(X3,X4))
| ~ in(X5,X3)
| ~ element(X3,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2) ),
inference(spm,[status(thm)],[c_0_100,c_0_90]) ).
cnf(c_0_104,negated_conjecture,
( in(esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)),esk15_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| element(esk6_1(X1),powerset(the_carrier(esk1_0)))
| esk4_1(X1) != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_20]),c_0_21])]),c_0_102]) ).
cnf(c_0_105,negated_conjecture,
( in(esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)),esk15_3(X1,esk2_0,esk3_0))
| ordered_pair(X2,X3) != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| esk10_2(X1,esk2_0) != esk9_2(X1,esk2_0)
| subset_complement(the_carrier(X1),X2) != X3
| ~ in(X2,esk2_0)
| ~ element(esk2_0,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_103,c_0_95]) ).
cnf(c_0_106,negated_conjecture,
( in(esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)),esk15_3(esk1_0,esk2_0,esk3_0))
| element(esk6_1(esk15_3(esk1_0,esk2_0,esk3_0)),powerset(the_carrier(esk1_0))) ),
inference(er,[status(thm)],[c_0_104]) ).
cnf(c_0_107,negated_conjecture,
( in(esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)),esk15_3(X1,esk2_0,esk3_0))
| in(esk4_1(X2),X2)
| esk4_1(X2) != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| subset_complement(the_carrier(X1),esk6_1(X2)) != esk7_1(X2)
| esk10_2(X1,esk2_0) != esk9_2(X1,esk2_0)
| ~ element(esk2_0,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_13]),c_0_14]) ).
cnf(c_0_108,negated_conjecture,
( subset_complement(the_carrier(esk1_0),esk6_1(esk15_3(esk1_0,esk2_0,esk3_0))) = esk7_1(esk15_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)),esk15_3(esk1_0,esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_25,c_0_106]) ).
cnf(c_0_109,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)),esk15_3(esk1_0,esk2_0,esk3_0)) ),
inference(rw,[status(thm)],[c_0_87,c_0_85]) ).
cnf(c_0_110,negated_conjecture,
( esk5_3(esk15_3(esk1_0,esk2_0,esk3_0),X1,X2) = X1
| ordered_pair(X1,X2) != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)),esk15_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_95]) ).
cnf(c_0_111,negated_conjecture,
in(esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)),esk15_3(esk1_0,esk2_0,esk3_0)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_20]),c_0_21])]),c_0_109]) ).
cnf(c_0_112,negated_conjecture,
( esk5_3(esk15_3(esk1_0,esk2_0,esk3_0),X1,X2) = X1
| ordered_pair(X1,X2) != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_111])]) ).
cnf(c_0_113,negated_conjecture,
( element(esk5_3(esk15_3(esk1_0,esk2_0,esk3_0),X1,X2),powerset(the_carrier(esk1_0)))
| ordered_pair(X1,X2) != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_111]),c_0_95])]) ).
cnf(c_0_114,negated_conjecture,
( ordered_pair(X1,X2) != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| subset_complement(the_carrier(esk1_0),X1) != X2
| ~ in(X1,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_112]),c_0_95]),c_0_111])]) ).
cnf(c_0_115,plain,
( ordered_pair(esk17_4(X2,X1,X4,X3),esk18_4(X2,X1,X4,X3)) = X3
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| esk9_2(X2,X1) != esk10_2(X2,X1)
| ~ in(X3,esk15_3(X2,X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_116,plain,
( esk18_4(X2,X1,X4,X3) = subset_complement(the_carrier(X2),X5)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| esk9_2(X2,X1) != esk10_2(X2,X1)
| ~ in(X3,esk15_3(X2,X1,X4))
| X5 != esk17_4(X2,X1,X4,X3)
| ~ element(X5,powerset(the_carrier(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_117,negated_conjecture,
( element(X1,powerset(the_carrier(esk1_0)))
| ordered_pair(X1,X2) != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_113,c_0_112]) ).
cnf(c_0_118,negated_conjecture,
( subset_complement(the_carrier(esk1_0),esk17_4(X1,X2,X3,X4)) != esk18_4(X1,X2,X3,X4)
| X4 != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| esk10_2(X1,X2) != esk9_2(X1,X2)
| ~ in(esk17_4(X1,X2,X3,X4),esk2_0)
| ~ in(X4,esk15_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_119,plain,
( subset_complement(the_carrier(X1),esk17_4(X1,X2,X3,X4)) = esk18_4(X1,X2,X3,X4)
| esk10_2(X1,X2) != esk9_2(X1,X2)
| ~ in(X4,esk15_3(X1,X2,X3))
| ~ element(esk17_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_116]) ).
cnf(c_0_120,negated_conjecture,
( element(esk17_4(X1,X2,X3,X4),powerset(the_carrier(esk1_0)))
| X4 != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| esk10_2(X1,X2) != esk9_2(X1,X2)
| ~ in(esk17_4(X1,X2,X3,X4),esk2_0)
| ~ in(X4,esk15_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_117,c_0_115]) ).
cnf(c_0_121,plain,
( esk8_2(X2,X1) = esk10_2(X2,X1)
| ordered_pair(esk17_4(X2,X1,X4,X3),esk18_4(X2,X1,X4,X3)) = X3
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| ~ in(X3,esk15_3(X2,X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_122,plain,
( esk8_2(X2,X1) = esk10_2(X2,X1)
| esk18_4(X2,X1,X4,X3) = subset_complement(the_carrier(X2),X5)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| ~ in(X3,esk15_3(X2,X1,X4))
| X5 != esk17_4(X2,X1,X4,X3)
| ~ element(X5,powerset(the_carrier(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_123,negated_conjecture,
( X1 != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| esk10_2(esk1_0,X2) != esk9_2(esk1_0,X2)
| ~ in(esk17_4(esk1_0,X2,X3,X1),esk2_0)
| ~ in(X1,esk15_3(esk1_0,X2,X3))
| ~ element(esk17_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_21])]) ).
cnf(c_0_124,negated_conjecture,
( element(esk17_4(X1,X2,X3,esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))),powerset(the_carrier(esk1_0)))
| esk10_2(X1,X2) != esk9_2(X1,X2)
| ~ in(esk17_4(X1,X2,X3,esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))),esk2_0)
| ~ in(esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)),esk15_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[c_0_120]) ).
cnf(c_0_125,negated_conjecture,
( esk8_2(X1,X2) = esk10_2(X1,X2)
| subset_complement(the_carrier(esk1_0),esk17_4(X1,X2,X3,X4)) != esk18_4(X1,X2,X3,X4)
| X4 != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk17_4(X1,X2,X3,X4),esk2_0)
| ~ in(X4,esk15_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_114,c_0_121]) ).
cnf(c_0_126,plain,
( subset_complement(the_carrier(X1),esk17_4(X1,X2,X3,X4)) = esk18_4(X1,X2,X3,X4)
| esk8_2(X1,X2) = esk10_2(X1,X2)
| ~ in(X4,esk15_3(X1,X2,X3))
| ~ element(esk17_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_122]) ).
cnf(c_0_127,negated_conjecture,
( esk8_2(X1,X2) = esk10_2(X1,X2)
| element(esk17_4(X1,X2,X3,X4),powerset(the_carrier(esk1_0)))
| X4 != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk17_4(X1,X2,X3,X4),esk2_0)
| ~ in(X4,esk15_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_117,c_0_121]) ).
cnf(c_0_128,negated_conjecture,
( esk10_2(esk1_0,X1) != esk9_2(esk1_0,X1)
| ~ in(esk17_4(esk1_0,X1,X2,esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))),esk2_0)
| ~ in(esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)),esk15_3(esk1_0,X1,X2))
| ~ element(X1,powerset(powerset(the_carrier(esk1_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_21])]) ).
cnf(c_0_129,plain,
( in(esk17_4(X2,X1,X4,X3),X1)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| esk9_2(X2,X1) != esk10_2(X2,X1)
| ~ in(X3,esk15_3(X2,X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_130,negated_conjecture,
( esk8_2(esk1_0,X1) = esk10_2(esk1_0,X1)
| X2 != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk17_4(esk1_0,X1,X3,X2),esk2_0)
| ~ in(X2,esk15_3(esk1_0,X1,X3))
| ~ element(esk17_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_125,c_0_126]),c_0_21])]) ).
cnf(c_0_131,negated_conjecture,
( esk8_2(X1,X2) = esk10_2(X1,X2)
| element(esk17_4(X1,X2,X3,esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))),powerset(the_carrier(esk1_0)))
| ~ in(esk17_4(X1,X2,X3,esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))),esk2_0)
| ~ in(esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)),esk15_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[c_0_127]) ).
cnf(c_0_132,negated_conjecture,
( esk10_2(esk1_0,esk2_0) != esk9_2(esk1_0,esk2_0)
| ~ in(esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)),esk15_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_20]),c_0_21])]) ).
cnf(c_0_133,negated_conjecture,
( esk8_2(esk1_0,X1) = esk10_2(esk1_0,X1)
| ~ in(esk17_4(esk1_0,X1,X2,esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))),esk2_0)
| ~ in(esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)),esk15_3(esk1_0,X1,X2))
| ~ element(X1,powerset(powerset(the_carrier(esk1_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_21])]) ).
cnf(c_0_134,plain,
( esk8_2(X2,X1) = esk10_2(X2,X1)
| in(esk17_4(X2,X1,X4,X3),X1)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| ~ in(X3,esk15_3(X2,X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_135,negated_conjecture,
esk10_2(esk1_0,esk2_0) != esk9_2(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_132,c_0_111]) ).
cnf(c_0_136,negated_conjecture,
~ in(esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)),esk15_3(esk1_0,esk2_0,X1)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_85]),c_0_20]),c_0_21])]),c_0_135]) ).
cnf(c_0_137,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_111,c_0_136]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU332+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 19 04:09:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.33/23.40 eprover: CPU time limit exceeded, terminating
% 0.33/23.41 eprover: CPU time limit exceeded, terminating
% 0.33/23.41 eprover: CPU time limit exceeded, terminating
% 0.33/23.41 eprover: CPU time limit exceeded, terminating
% 0.35/28.54 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.35/28.54
% 0.35/28.54 # Failure: Resource limit exceeded (time)
% 0.35/28.54 # OLD status Res
% 0.35/28.54 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.35/28.54 # Preprocessing time : 0.019 s
% 0.35/28.54 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.35/28.54 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.35/28.54 # Preprocessing time : 0.019 s
% 0.35/28.54
% 0.35/28.54 # Proof found!
% 0.35/28.54 # SZS status Theorem
% 0.35/28.54 # SZS output start CNFRefutation
% See solution above
% 0.35/28.54 # Proof object total steps : 138
% 0.35/28.54 # Proof object clause steps : 133
% 0.35/28.54 # Proof object formula steps : 5
% 0.35/28.54 # Proof object conjectures : 91
% 0.35/28.54 # Proof object clause conjectures : 88
% 0.35/28.54 # Proof object formula conjectures : 3
% 0.35/28.54 # Proof object initial clauses used : 33
% 0.35/28.54 # Proof object initial formulas used : 2
% 0.35/28.54 # Proof object generating inferences : 86
% 0.35/28.54 # Proof object simplifying inferences : 78
% 0.35/28.54 # Training examples: 0 positive, 0 negative
% 0.35/28.54 # Parsed axioms : 32
% 0.35/28.54 # Removed by relevancy pruning/SinE : 26
% 0.35/28.54 # Initial clauses : 85
% 0.35/28.54 # Removed in clause preprocessing : 0
% 0.35/28.54 # Initial clauses in saturation : 85
% 0.35/28.54 # Processed clauses : 12127
% 0.35/28.54 # ...of these trivial : 43
% 0.35/28.54 # ...subsumed : 8552
% 0.35/28.54 # ...remaining for further processing : 3532
% 0.35/28.54 # Other redundant clauses eliminated : 139
% 0.35/28.54 # Clauses deleted for lack of memory : 0
% 0.35/28.54 # Backward-subsumed : 658
% 0.35/28.54 # Backward-rewritten : 1353
% 0.35/28.54 # Generated clauses : 74950
% 0.35/28.54 # ...of the previous two non-trivial : 66349
% 0.35/28.54 # Contextual simplify-reflections : 22381
% 0.35/28.54 # Paramodulations : 74320
% 0.35/28.54 # Factorizations : 96
% 0.35/28.54 # Equation resolutions : 508
% 0.35/28.54 # Current number of processed clauses : 1468
% 0.35/28.54 # Positive orientable unit clauses : 7
% 0.35/28.54 # Positive unorientable unit clauses: 0
% 0.35/28.54 # Negative unit clauses : 9
% 0.35/28.54 # Non-unit-clauses : 1452
% 0.35/28.54 # Current number of unprocessed clauses: 13947
% 0.35/28.54 # ...number of literals in the above : 158732
% 0.35/28.54 # Current number of archived formulas : 0
% 0.35/28.54 # Current number of archived clauses : 2037
% 0.35/28.54 # Clause-clause subsumption calls (NU) : 2288676
% 0.35/28.54 # Rec. Clause-clause subsumption calls : 225998
% 0.35/28.54 # Non-unit clause-clause subsumptions : 31407
% 0.35/28.54 # Unit Clause-clause subsumption calls : 7006
% 0.35/28.54 # Rewrite failures with RHS unbound : 0
% 0.35/28.54 # BW rewrite match attempts : 13
% 0.35/28.54 # BW rewrite match successes : 5
% 0.35/28.54 # Condensation attempts : 0
% 0.35/28.54 # Condensation successes : 0
% 0.35/28.54 # Termbank termtop insertions : 4417875
% 0.35/28.54
% 0.35/28.54 # -------------------------------------------------
% 0.35/28.54 # User time : 4.071 s
% 0.35/28.54 # System time : 0.038 s
% 0.35/28.54 # Total time : 4.109 s
% 0.35/28.54 # Maximum resident set size: 49184 pages
%------------------------------------------------------------------------------