TSTP Solution File: SEU332+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SEU332+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n022.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:26:02 EDT 2023
% Result : Theorem 41.17s 5.72s
% Output : CNFRefutation 41.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 2
% Syntax : Number of formulae : 131 ( 8 unt; 0 def)
% Number of atoms : 1147 ( 393 equ)
% Maximal formula atoms : 518 ( 8 avg)
% Number of connectives : 1706 ( 690 ~; 899 |; 99 &)
% ( 3 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 92 ( 6 avg)
% Maximal term depth : 6 ( 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 : 381 ( 8 sgn; 35 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/tmp/tmp.iVGclX9wcY/E---3.1_17600.p',s1_xboole_0__e4_7_2__tops_2__1) ).
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/sandbox2/tmp/tmp.iVGclX9wcY/E---3.1_17600.p',s1_tarski__e4_7_2__tops_2__2) ).
fof(c_0_2,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]) ).
fof(c_0_3,negated_conjecture,
! [X19,X21,X22,X26] :
( one_sorted_str(esk1_0)
& element(esk2_0,powerset(powerset(the_carrier(esk1_0))))
& ( element(esk5_3(X19,X21,X22),powerset(the_carrier(esk1_0)))
| ordered_pair(X21,X22) != esk4_1(X19)
| ~ in(X21,esk2_0)
| ~ in(esk4_1(X19),cartesian_product2(esk2_0,esk3_0))
| ~ in(esk4_1(X19),X19) )
& ( esk5_3(X19,X21,X22) = X21
| ordered_pair(X21,X22) != esk4_1(X19)
| ~ in(X21,esk2_0)
| ~ in(esk4_1(X19),cartesian_product2(esk2_0,esk3_0))
| ~ in(esk4_1(X19),X19) )
& ( X22 != subset_complement(the_carrier(esk1_0),esk5_3(X19,X21,X22))
| ordered_pair(X21,X22) != esk4_1(X19)
| ~ in(X21,esk2_0)
| ~ in(esk4_1(X19),cartesian_product2(esk2_0,esk3_0))
| ~ in(esk4_1(X19),X19) )
& ( in(esk4_1(X19),cartesian_product2(esk2_0,esk3_0))
| in(esk4_1(X19),X19) )
& ( ordered_pair(esk6_1(X19),esk7_1(X19)) = esk4_1(X19)
| in(esk4_1(X19),X19) )
& ( in(esk6_1(X19),esk2_0)
| in(esk4_1(X19),X19) )
& ( ~ element(X26,powerset(the_carrier(esk1_0)))
| X26 != esk6_1(X19)
| esk7_1(X19) = subset_complement(the_carrier(esk1_0),X26)
| in(esk4_1(X19),X19) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).
fof(c_0_4,plain,
! [X31,X32,X38,X41,X42,X44,X48,X49,X50,X51,X52] :
( ( in(esk16_4(X31,X32,X42,X44),cartesian_product2(X32,X42))
| ~ in(X44,esk15_3(X31,X32,X42))
| esk8_2(X31,X32) = esk9_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( esk16_4(X31,X32,X42,X44) = X44
| ~ in(X44,esk15_3(X31,X32,X42))
| esk8_2(X31,X32) = esk9_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( ordered_pair(esk17_4(X31,X32,X42,X44),esk18_4(X31,X32,X42,X44)) = X44
| ~ in(X44,esk15_3(X31,X32,X42))
| esk8_2(X31,X32) = esk9_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( in(esk17_4(X31,X32,X42,X44),X32)
| ~ in(X44,esk15_3(X31,X32,X42))
| esk8_2(X31,X32) = esk9_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( ~ element(X48,powerset(the_carrier(X31)))
| X48 != esk17_4(X31,X32,X42,X44)
| esk18_4(X31,X32,X42,X44) = subset_complement(the_carrier(X31),X48)
| ~ in(X44,esk15_3(X31,X32,X42))
| esk8_2(X31,X32) = esk9_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( element(esk19_6(X31,X32,X42,X49,X51,X52),powerset(the_carrier(X31)))
| ordered_pair(X51,X52) != X49
| ~ in(X51,X32)
| ~ in(X50,cartesian_product2(X32,X42))
| X50 != X49
| in(X49,esk15_3(X31,X32,X42))
| esk8_2(X31,X32) = esk9_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( esk19_6(X31,X32,X42,X49,X51,X52) = X51
| ordered_pair(X51,X52) != X49
| ~ in(X51,X32)
| ~ in(X50,cartesian_product2(X32,X42))
| X50 != X49
| in(X49,esk15_3(X31,X32,X42))
| esk8_2(X31,X32) = esk9_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( X52 != subset_complement(the_carrier(X31),esk19_6(X31,X32,X42,X49,X51,X52))
| ordered_pair(X51,X52) != X49
| ~ in(X51,X32)
| ~ in(X50,cartesian_product2(X32,X42))
| X50 != X49
| in(X49,esk15_3(X31,X32,X42))
| esk8_2(X31,X32) = esk9_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( in(esk16_4(X31,X32,X42,X44),cartesian_product2(X32,X42))
| ~ in(X44,esk15_3(X31,X32,X42))
| ordered_pair(esk11_2(X31,X32),esk12_2(X31,X32)) = esk9_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( esk16_4(X31,X32,X42,X44) = X44
| ~ in(X44,esk15_3(X31,X32,X42))
| ordered_pair(esk11_2(X31,X32),esk12_2(X31,X32)) = esk9_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( ordered_pair(esk17_4(X31,X32,X42,X44),esk18_4(X31,X32,X42,X44)) = X44
| ~ in(X44,esk15_3(X31,X32,X42))
| ordered_pair(esk11_2(X31,X32),esk12_2(X31,X32)) = esk9_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( in(esk17_4(X31,X32,X42,X44),X32)
| ~ in(X44,esk15_3(X31,X32,X42))
| ordered_pair(esk11_2(X31,X32),esk12_2(X31,X32)) = esk9_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( ~ element(X48,powerset(the_carrier(X31)))
| X48 != esk17_4(X31,X32,X42,X44)
| esk18_4(X31,X32,X42,X44) = subset_complement(the_carrier(X31),X48)
| ~ in(X44,esk15_3(X31,X32,X42))
| ordered_pair(esk11_2(X31,X32),esk12_2(X31,X32)) = esk9_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( element(esk19_6(X31,X32,X42,X49,X51,X52),powerset(the_carrier(X31)))
| ordered_pair(X51,X52) != X49
| ~ in(X51,X32)
| ~ in(X50,cartesian_product2(X32,X42))
| X50 != X49
| in(X49,esk15_3(X31,X32,X42))
| ordered_pair(esk11_2(X31,X32),esk12_2(X31,X32)) = esk9_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( esk19_6(X31,X32,X42,X49,X51,X52) = X51
| ordered_pair(X51,X52) != X49
| ~ in(X51,X32)
| ~ in(X50,cartesian_product2(X32,X42))
| X50 != X49
| in(X49,esk15_3(X31,X32,X42))
| ordered_pair(esk11_2(X31,X32),esk12_2(X31,X32)) = esk9_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( X52 != subset_complement(the_carrier(X31),esk19_6(X31,X32,X42,X49,X51,X52))
| ordered_pair(X51,X52) != X49
| ~ in(X51,X32)
| ~ in(X50,cartesian_product2(X32,X42))
| X50 != X49
| in(X49,esk15_3(X31,X32,X42))
| ordered_pair(esk11_2(X31,X32),esk12_2(X31,X32)) = esk9_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( in(esk16_4(X31,X32,X42,X44),cartesian_product2(X32,X42))
| ~ in(X44,esk15_3(X31,X32,X42))
| in(esk11_2(X31,X32),X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( esk16_4(X31,X32,X42,X44) = X44
| ~ in(X44,esk15_3(X31,X32,X42))
| in(esk11_2(X31,X32),X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( ordered_pair(esk17_4(X31,X32,X42,X44),esk18_4(X31,X32,X42,X44)) = X44
| ~ in(X44,esk15_3(X31,X32,X42))
| in(esk11_2(X31,X32),X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( in(esk17_4(X31,X32,X42,X44),X32)
| ~ in(X44,esk15_3(X31,X32,X42))
| in(esk11_2(X31,X32),X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( ~ element(X48,powerset(the_carrier(X31)))
| X48 != esk17_4(X31,X32,X42,X44)
| esk18_4(X31,X32,X42,X44) = subset_complement(the_carrier(X31),X48)
| ~ in(X44,esk15_3(X31,X32,X42))
| in(esk11_2(X31,X32),X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( element(esk19_6(X31,X32,X42,X49,X51,X52),powerset(the_carrier(X31)))
| ordered_pair(X51,X52) != X49
| ~ in(X51,X32)
| ~ in(X50,cartesian_product2(X32,X42))
| X50 != X49
| in(X49,esk15_3(X31,X32,X42))
| in(esk11_2(X31,X32),X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( esk19_6(X31,X32,X42,X49,X51,X52) = X51
| ordered_pair(X51,X52) != X49
| ~ in(X51,X32)
| ~ in(X50,cartesian_product2(X32,X42))
| X50 != X49
| in(X49,esk15_3(X31,X32,X42))
| in(esk11_2(X31,X32),X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( X52 != subset_complement(the_carrier(X31),esk19_6(X31,X32,X42,X49,X51,X52))
| ordered_pair(X51,X52) != X49
| ~ in(X51,X32)
| ~ in(X50,cartesian_product2(X32,X42))
| X50 != X49
| in(X49,esk15_3(X31,X32,X42))
| in(esk11_2(X31,X32),X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( in(esk16_4(X31,X32,X42,X44),cartesian_product2(X32,X42))
| ~ in(X44,esk15_3(X31,X32,X42))
| ~ element(X38,powerset(the_carrier(X31)))
| X38 != esk11_2(X31,X32)
| esk12_2(X31,X32) = subset_complement(the_carrier(X31),X38)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( esk16_4(X31,X32,X42,X44) = X44
| ~ in(X44,esk15_3(X31,X32,X42))
| ~ element(X38,powerset(the_carrier(X31)))
| X38 != esk11_2(X31,X32)
| esk12_2(X31,X32) = subset_complement(the_carrier(X31),X38)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( ordered_pair(esk17_4(X31,X32,X42,X44),esk18_4(X31,X32,X42,X44)) = X44
| ~ in(X44,esk15_3(X31,X32,X42))
| ~ element(X38,powerset(the_carrier(X31)))
| X38 != esk11_2(X31,X32)
| esk12_2(X31,X32) = subset_complement(the_carrier(X31),X38)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( in(esk17_4(X31,X32,X42,X44),X32)
| ~ in(X44,esk15_3(X31,X32,X42))
| ~ element(X38,powerset(the_carrier(X31)))
| X38 != esk11_2(X31,X32)
| esk12_2(X31,X32) = subset_complement(the_carrier(X31),X38)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( ~ element(X48,powerset(the_carrier(X31)))
| X48 != esk17_4(X31,X32,X42,X44)
| esk18_4(X31,X32,X42,X44) = subset_complement(the_carrier(X31),X48)
| ~ in(X44,esk15_3(X31,X32,X42))
| ~ element(X38,powerset(the_carrier(X31)))
| X38 != esk11_2(X31,X32)
| esk12_2(X31,X32) = subset_complement(the_carrier(X31),X38)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( element(esk19_6(X31,X32,X42,X49,X51,X52),powerset(the_carrier(X31)))
| ordered_pair(X51,X52) != X49
| ~ in(X51,X32)
| ~ in(X50,cartesian_product2(X32,X42))
| X50 != X49
| in(X49,esk15_3(X31,X32,X42))
| ~ element(X38,powerset(the_carrier(X31)))
| X38 != esk11_2(X31,X32)
| esk12_2(X31,X32) = subset_complement(the_carrier(X31),X38)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( esk19_6(X31,X32,X42,X49,X51,X52) = X51
| ordered_pair(X51,X52) != X49
| ~ in(X51,X32)
| ~ in(X50,cartesian_product2(X32,X42))
| X50 != X49
| in(X49,esk15_3(X31,X32,X42))
| ~ element(X38,powerset(the_carrier(X31)))
| X38 != esk11_2(X31,X32)
| esk12_2(X31,X32) = subset_complement(the_carrier(X31),X38)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( X52 != subset_complement(the_carrier(X31),esk19_6(X31,X32,X42,X49,X51,X52))
| ordered_pair(X51,X52) != X49
| ~ in(X51,X32)
| ~ in(X50,cartesian_product2(X32,X42))
| X50 != X49
| in(X49,esk15_3(X31,X32,X42))
| ~ element(X38,powerset(the_carrier(X31)))
| X38 != esk11_2(X31,X32)
| esk12_2(X31,X32) = subset_complement(the_carrier(X31),X38)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( in(esk16_4(X31,X32,X42,X44),cartesian_product2(X32,X42))
| ~ in(X44,esk15_3(X31,X32,X42))
| esk8_2(X31,X32) = esk10_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( esk16_4(X31,X32,X42,X44) = X44
| ~ in(X44,esk15_3(X31,X32,X42))
| esk8_2(X31,X32) = esk10_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( ordered_pair(esk17_4(X31,X32,X42,X44),esk18_4(X31,X32,X42,X44)) = X44
| ~ in(X44,esk15_3(X31,X32,X42))
| esk8_2(X31,X32) = esk10_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( in(esk17_4(X31,X32,X42,X44),X32)
| ~ in(X44,esk15_3(X31,X32,X42))
| esk8_2(X31,X32) = esk10_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( ~ element(X48,powerset(the_carrier(X31)))
| X48 != esk17_4(X31,X32,X42,X44)
| esk18_4(X31,X32,X42,X44) = subset_complement(the_carrier(X31),X48)
| ~ in(X44,esk15_3(X31,X32,X42))
| esk8_2(X31,X32) = esk10_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( element(esk19_6(X31,X32,X42,X49,X51,X52),powerset(the_carrier(X31)))
| ordered_pair(X51,X52) != X49
| ~ in(X51,X32)
| ~ in(X50,cartesian_product2(X32,X42))
| X50 != X49
| in(X49,esk15_3(X31,X32,X42))
| esk8_2(X31,X32) = esk10_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( esk19_6(X31,X32,X42,X49,X51,X52) = X51
| ordered_pair(X51,X52) != X49
| ~ in(X51,X32)
| ~ in(X50,cartesian_product2(X32,X42))
| X50 != X49
| in(X49,esk15_3(X31,X32,X42))
| esk8_2(X31,X32) = esk10_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( X52 != subset_complement(the_carrier(X31),esk19_6(X31,X32,X42,X49,X51,X52))
| ordered_pair(X51,X52) != X49
| ~ in(X51,X32)
| ~ in(X50,cartesian_product2(X32,X42))
| X50 != X49
| in(X49,esk15_3(X31,X32,X42))
| esk8_2(X31,X32) = esk10_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( in(esk16_4(X31,X32,X42,X44),cartesian_product2(X32,X42))
| ~ in(X44,esk15_3(X31,X32,X42))
| ordered_pair(esk13_2(X31,X32),esk14_2(X31,X32)) = esk10_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( esk16_4(X31,X32,X42,X44) = X44
| ~ in(X44,esk15_3(X31,X32,X42))
| ordered_pair(esk13_2(X31,X32),esk14_2(X31,X32)) = esk10_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( ordered_pair(esk17_4(X31,X32,X42,X44),esk18_4(X31,X32,X42,X44)) = X44
| ~ in(X44,esk15_3(X31,X32,X42))
| ordered_pair(esk13_2(X31,X32),esk14_2(X31,X32)) = esk10_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( in(esk17_4(X31,X32,X42,X44),X32)
| ~ in(X44,esk15_3(X31,X32,X42))
| ordered_pair(esk13_2(X31,X32),esk14_2(X31,X32)) = esk10_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( ~ element(X48,powerset(the_carrier(X31)))
| X48 != esk17_4(X31,X32,X42,X44)
| esk18_4(X31,X32,X42,X44) = subset_complement(the_carrier(X31),X48)
| ~ in(X44,esk15_3(X31,X32,X42))
| ordered_pair(esk13_2(X31,X32),esk14_2(X31,X32)) = esk10_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( element(esk19_6(X31,X32,X42,X49,X51,X52),powerset(the_carrier(X31)))
| ordered_pair(X51,X52) != X49
| ~ in(X51,X32)
| ~ in(X50,cartesian_product2(X32,X42))
| X50 != X49
| in(X49,esk15_3(X31,X32,X42))
| ordered_pair(esk13_2(X31,X32),esk14_2(X31,X32)) = esk10_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( esk19_6(X31,X32,X42,X49,X51,X52) = X51
| ordered_pair(X51,X52) != X49
| ~ in(X51,X32)
| ~ in(X50,cartesian_product2(X32,X42))
| X50 != X49
| in(X49,esk15_3(X31,X32,X42))
| ordered_pair(esk13_2(X31,X32),esk14_2(X31,X32)) = esk10_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( X52 != subset_complement(the_carrier(X31),esk19_6(X31,X32,X42,X49,X51,X52))
| ordered_pair(X51,X52) != X49
| ~ in(X51,X32)
| ~ in(X50,cartesian_product2(X32,X42))
| X50 != X49
| in(X49,esk15_3(X31,X32,X42))
| ordered_pair(esk13_2(X31,X32),esk14_2(X31,X32)) = esk10_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( in(esk16_4(X31,X32,X42,X44),cartesian_product2(X32,X42))
| ~ in(X44,esk15_3(X31,X32,X42))
| in(esk13_2(X31,X32),X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( esk16_4(X31,X32,X42,X44) = X44
| ~ in(X44,esk15_3(X31,X32,X42))
| in(esk13_2(X31,X32),X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( ordered_pair(esk17_4(X31,X32,X42,X44),esk18_4(X31,X32,X42,X44)) = X44
| ~ in(X44,esk15_3(X31,X32,X42))
| in(esk13_2(X31,X32),X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( in(esk17_4(X31,X32,X42,X44),X32)
| ~ in(X44,esk15_3(X31,X32,X42))
| in(esk13_2(X31,X32),X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( ~ element(X48,powerset(the_carrier(X31)))
| X48 != esk17_4(X31,X32,X42,X44)
| esk18_4(X31,X32,X42,X44) = subset_complement(the_carrier(X31),X48)
| ~ in(X44,esk15_3(X31,X32,X42))
| in(esk13_2(X31,X32),X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( element(esk19_6(X31,X32,X42,X49,X51,X52),powerset(the_carrier(X31)))
| ordered_pair(X51,X52) != X49
| ~ in(X51,X32)
| ~ in(X50,cartesian_product2(X32,X42))
| X50 != X49
| in(X49,esk15_3(X31,X32,X42))
| in(esk13_2(X31,X32),X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( esk19_6(X31,X32,X42,X49,X51,X52) = X51
| ordered_pair(X51,X52) != X49
| ~ in(X51,X32)
| ~ in(X50,cartesian_product2(X32,X42))
| X50 != X49
| in(X49,esk15_3(X31,X32,X42))
| in(esk13_2(X31,X32),X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( X52 != subset_complement(the_carrier(X31),esk19_6(X31,X32,X42,X49,X51,X52))
| ordered_pair(X51,X52) != X49
| ~ in(X51,X32)
| ~ in(X50,cartesian_product2(X32,X42))
| X50 != X49
| in(X49,esk15_3(X31,X32,X42))
| in(esk13_2(X31,X32),X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( in(esk16_4(X31,X32,X42,X44),cartesian_product2(X32,X42))
| ~ in(X44,esk15_3(X31,X32,X42))
| ~ element(X41,powerset(the_carrier(X31)))
| X41 != esk13_2(X31,X32)
| esk14_2(X31,X32) = subset_complement(the_carrier(X31),X41)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( esk16_4(X31,X32,X42,X44) = X44
| ~ in(X44,esk15_3(X31,X32,X42))
| ~ element(X41,powerset(the_carrier(X31)))
| X41 != esk13_2(X31,X32)
| esk14_2(X31,X32) = subset_complement(the_carrier(X31),X41)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( ordered_pair(esk17_4(X31,X32,X42,X44),esk18_4(X31,X32,X42,X44)) = X44
| ~ in(X44,esk15_3(X31,X32,X42))
| ~ element(X41,powerset(the_carrier(X31)))
| X41 != esk13_2(X31,X32)
| esk14_2(X31,X32) = subset_complement(the_carrier(X31),X41)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( in(esk17_4(X31,X32,X42,X44),X32)
| ~ in(X44,esk15_3(X31,X32,X42))
| ~ element(X41,powerset(the_carrier(X31)))
| X41 != esk13_2(X31,X32)
| esk14_2(X31,X32) = subset_complement(the_carrier(X31),X41)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( ~ element(X48,powerset(the_carrier(X31)))
| X48 != esk17_4(X31,X32,X42,X44)
| esk18_4(X31,X32,X42,X44) = subset_complement(the_carrier(X31),X48)
| ~ in(X44,esk15_3(X31,X32,X42))
| ~ element(X41,powerset(the_carrier(X31)))
| X41 != esk13_2(X31,X32)
| esk14_2(X31,X32) = subset_complement(the_carrier(X31),X41)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( element(esk19_6(X31,X32,X42,X49,X51,X52),powerset(the_carrier(X31)))
| ordered_pair(X51,X52) != X49
| ~ in(X51,X32)
| ~ in(X50,cartesian_product2(X32,X42))
| X50 != X49
| in(X49,esk15_3(X31,X32,X42))
| ~ element(X41,powerset(the_carrier(X31)))
| X41 != esk13_2(X31,X32)
| esk14_2(X31,X32) = subset_complement(the_carrier(X31),X41)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( esk19_6(X31,X32,X42,X49,X51,X52) = X51
| ordered_pair(X51,X52) != X49
| ~ in(X51,X32)
| ~ in(X50,cartesian_product2(X32,X42))
| X50 != X49
| in(X49,esk15_3(X31,X32,X42))
| ~ element(X41,powerset(the_carrier(X31)))
| X41 != esk13_2(X31,X32)
| esk14_2(X31,X32) = subset_complement(the_carrier(X31),X41)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( X52 != subset_complement(the_carrier(X31),esk19_6(X31,X32,X42,X49,X51,X52))
| ordered_pair(X51,X52) != X49
| ~ in(X51,X32)
| ~ in(X50,cartesian_product2(X32,X42))
| X50 != X49
| in(X49,esk15_3(X31,X32,X42))
| ~ element(X41,powerset(the_carrier(X31)))
| X41 != esk13_2(X31,X32)
| esk14_2(X31,X32) = subset_complement(the_carrier(X31),X41)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( in(esk16_4(X31,X32,X42,X44),cartesian_product2(X32,X42))
| ~ in(X44,esk15_3(X31,X32,X42))
| esk9_2(X31,X32) != esk10_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( esk16_4(X31,X32,X42,X44) = X44
| ~ in(X44,esk15_3(X31,X32,X42))
| esk9_2(X31,X32) != esk10_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( ordered_pair(esk17_4(X31,X32,X42,X44),esk18_4(X31,X32,X42,X44)) = X44
| ~ in(X44,esk15_3(X31,X32,X42))
| esk9_2(X31,X32) != esk10_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( in(esk17_4(X31,X32,X42,X44),X32)
| ~ in(X44,esk15_3(X31,X32,X42))
| esk9_2(X31,X32) != esk10_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( ~ element(X48,powerset(the_carrier(X31)))
| X48 != esk17_4(X31,X32,X42,X44)
| esk18_4(X31,X32,X42,X44) = subset_complement(the_carrier(X31),X48)
| ~ in(X44,esk15_3(X31,X32,X42))
| esk9_2(X31,X32) != esk10_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( element(esk19_6(X31,X32,X42,X49,X51,X52),powerset(the_carrier(X31)))
| ordered_pair(X51,X52) != X49
| ~ in(X51,X32)
| ~ in(X50,cartesian_product2(X32,X42))
| X50 != X49
| in(X49,esk15_3(X31,X32,X42))
| esk9_2(X31,X32) != esk10_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( esk19_6(X31,X32,X42,X49,X51,X52) = X51
| ordered_pair(X51,X52) != X49
| ~ in(X51,X32)
| ~ in(X50,cartesian_product2(X32,X42))
| X50 != X49
| in(X49,esk15_3(X31,X32,X42))
| esk9_2(X31,X32) != esk10_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) )
& ( X52 != subset_complement(the_carrier(X31),esk19_6(X31,X32,X42,X49,X51,X52))
| ordered_pair(X51,X52) != X49
| ~ in(X51,X32)
| ~ in(X50,cartesian_product2(X32,X42))
| X50 != X49
| in(X49,esk15_3(X31,X32,X42))
| esk9_2(X31,X32) != esk10_2(X31,X32)
| ~ one_sorted_str(X31)
| ~ element(X32,powerset(powerset(the_carrier(X31)))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[s1_tarski__e4_7_2__tops_2__2])])])])])]) ).
cnf(c_0_5,negated_conjecture,
( esk7_1(X2) = subset_complement(the_carrier(esk1_0),X1)
| in(esk4_1(X2),X2)
| ~ element(X1,powerset(the_carrier(esk1_0)))
| X1 != esk6_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( esk19_6(X1,X2,X3,X4,X5,X6) = X5
| in(X4,esk15_3(X1,X2,X3))
| esk8_2(X1,X2) = esk9_2(X1,X2)
| ordered_pair(X5,X6) != X4
| ~ in(X5,X2)
| ~ in(X7,cartesian_product2(X2,X3))
| X7 != X4
| ~ one_sorted_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( in(esk16_4(X1,X2,X3,X4),cartesian_product2(X2,X3))
| esk8_2(X1,X2) = esk9_2(X1,X2)
| ~ in(X4,esk15_3(X1,X2,X3))
| ~ one_sorted_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
element(esk2_0,powerset(powerset(the_carrier(esk1_0)))),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,negated_conjecture,
one_sorted_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_10,plain,
( esk16_4(X1,X2,X3,X4) = X4
| esk8_2(X1,X2) = esk9_2(X1,X2)
| ~ in(X4,esk15_3(X1,X2,X3))
| ~ one_sorted_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,plain,
( element(esk19_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))
| in(X4,esk15_3(X1,X2,X3))
| esk8_2(X1,X2) = esk9_2(X1,X2)
| ordered_pair(X5,X6) != X4
| ~ in(X5,X2)
| ~ in(X7,cartesian_product2(X2,X3))
| X7 != X4
| ~ one_sorted_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,plain,
( in(X5,esk15_3(X2,X3,X4))
| esk8_2(X2,X3) = esk9_2(X2,X3)
| X1 != subset_complement(the_carrier(X2),esk19_6(X2,X3,X4,X5,X6,X1))
| ordered_pair(X6,X1) != X5
| ~ in(X6,X3)
| ~ in(X7,cartesian_product2(X3,X4))
| X7 != X5
| ~ one_sorted_str(X2)
| ~ element(X3,powerset(powerset(the_carrier(X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,negated_conjecture,
( ordered_pair(esk6_1(X1),esk7_1(X1)) = esk4_1(X1)
| in(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_14,negated_conjecture,
( esk7_1(X1) = subset_complement(the_carrier(esk1_0),esk6_1(X1))
| in(esk4_1(X1),X1)
| ~ element(esk6_1(X1),powerset(the_carrier(esk1_0))) ),
inference(er,[status(thm)],[c_0_5]) ).
cnf(c_0_15,plain,
( esk19_6(X1,X2,X3,ordered_pair(X4,X5),X4,X5) = X4
| esk8_2(X1,X2) = esk9_2(X1,X2)
| in(ordered_pair(X4,X5),esk15_3(X1,X2,X3))
| ~ in(ordered_pair(X4,X5),cartesian_product2(X2,X3))
| ~ in(X4,X2)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_6])]) ).
cnf(c_0_16,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk16_4(esk1_0,esk2_0,X1,X2),cartesian_product2(esk2_0,X1))
| ~ in(X2,esk15_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).
cnf(c_0_17,negated_conjecture,
( in(esk4_1(X1),cartesian_product2(esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_18,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| esk16_4(esk1_0,esk2_0,X1,X2) = X2
| ~ in(X2,esk15_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_8]),c_0_9])]) ).
cnf(c_0_19,plain,
( esk8_2(X1,X2) = esk9_2(X1,X2)
| in(ordered_pair(X3,X4),esk15_3(X1,X2,X5))
| element(esk19_6(X1,X2,X5,ordered_pair(X3,X4),X3,X4),powerset(the_carrier(X1)))
| ~ in(ordered_pair(X3,X4),cartesian_product2(X2,X5))
| ~ in(X3,X2)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_11])]) ).
cnf(c_0_20,plain,
( esk8_2(X1,X2) = esk9_2(X1,X2)
| in(ordered_pair(X3,X4),esk15_3(X1,X2,X5))
| subset_complement(the_carrier(X1),esk19_6(X1,X2,X5,ordered_pair(X3,X4),X3,X4)) != X4
| ~ in(ordered_pair(X3,X4),cartesian_product2(X2,X5))
| ~ in(X3,X2)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_12])]) ).
cnf(c_0_21,negated_conjecture,
( ordered_pair(esk6_1(X1),subset_complement(the_carrier(esk1_0),esk6_1(X1))) = esk4_1(X1)
| in(esk4_1(X1),X1)
| ~ element(esk6_1(X1),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_22,negated_conjecture,
( esk19_6(esk1_0,esk2_0,X1,ordered_pair(X2,X3),X2,X3) = X2
| esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(ordered_pair(X2,X3),esk15_3(esk1_0,esk2_0,X1))
| ~ in(ordered_pair(X2,X3),cartesian_product2(esk2_0,X1))
| ~ in(X2,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_8]),c_0_9])]) ).
cnf(c_0_23,negated_conjecture,
( in(esk6_1(X1),esk2_0)
| in(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_24,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk16_4(esk1_0,esk2_0,X1,esk4_1(esk15_3(esk1_0,esk2_0,X1))),cartesian_product2(esk2_0,X1))
| in(esk4_1(esk15_3(esk1_0,esk2_0,X1)),cartesian_product2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_25,negated_conjecture,
( esk16_4(esk1_0,esk2_0,X1,esk4_1(esk15_3(esk1_0,esk2_0,X1))) = esk4_1(esk15_3(esk1_0,esk2_0,X1))
| 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)) ),
inference(spm,[status(thm)],[c_0_18,c_0_17]) ).
cnf(c_0_26,negated_conjecture,
( esk8_2(X1,X2) = esk9_2(X1,X2)
| in(esk4_1(X3),esk15_3(X1,X2,X4))
| in(esk4_1(X3),X3)
| element(esk19_6(X1,X2,X4,esk4_1(X3),esk6_1(X3),esk7_1(X3)),powerset(the_carrier(X1)))
| ~ in(esk4_1(X3),cartesian_product2(X2,X4))
| ~ in(esk6_1(X3),X2)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_13]) ).
cnf(c_0_27,negated_conjecture,
( esk8_2(X1,X2) = esk9_2(X1,X2)
| in(esk4_1(X3),esk15_3(X1,X2,X4))
| in(esk4_1(X3),X3)
| subset_complement(the_carrier(X1),esk19_6(X1,X2,X4,esk4_1(X3),esk6_1(X3),subset_complement(the_carrier(esk1_0),esk6_1(X3)))) != subset_complement(the_carrier(esk1_0),esk6_1(X3))
| ~ in(esk4_1(X3),cartesian_product2(X2,X4))
| ~ in(esk6_1(X3),X2)
| ~ element(esk6_1(X3),powerset(the_carrier(esk1_0)))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,negated_conjecture,
( esk19_6(esk1_0,esk2_0,X1,esk4_1(X2),esk6_1(X2),subset_complement(the_carrier(esk1_0),esk6_1(X2))) = esk6_1(X2)
| esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk4_1(X2),esk15_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| ~ in(esk4_1(X2),cartesian_product2(esk2_0,X1))
| ~ element(esk6_1(X2),powerset(the_carrier(esk1_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_21]),c_0_23]) ).
cnf(c_0_29,negated_conjecture,
( element(esk5_3(X1,X2,X3),powerset(the_carrier(esk1_0)))
| ordered_pair(X2,X3) != esk4_1(X1)
| ~ in(X2,esk2_0)
| ~ in(esk4_1(X1),cartesian_product2(esk2_0,esk3_0))
| ~ in(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_30,negated_conjecture,
( esk5_3(X1,X2,X3) = X2
| ordered_pair(X2,X3) != esk4_1(X1)
| ~ in(X2,esk2_0)
| ~ in(esk4_1(X1),cartesian_product2(esk2_0,esk3_0))
| ~ in(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_31,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(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_32,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk15_3(esk1_0,esk2_0,X2))
| in(esk4_1(X1),X1)
| element(esk19_6(esk1_0,esk2_0,X2,esk4_1(X1),esk6_1(X1),esk7_1(X1)),powerset(the_carrier(esk1_0)))
| ~ in(esk4_1(X1),cartesian_product2(esk2_0,X2)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_8]),c_0_9])]),c_0_23]) ).
cnf(c_0_33,negated_conjecture,
( esk19_6(esk1_0,esk2_0,X1,esk4_1(X2),esk6_1(X2),esk7_1(X2)) = esk6_1(X2)
| esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk4_1(X2),esk15_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| ~ in(esk4_1(X2),cartesian_product2(esk2_0,X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_13]),c_0_23]) ).
cnf(c_0_34,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk15_3(esk1_0,esk2_0,X2))
| in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),cartesian_product2(esk2_0,X2))
| ~ element(esk6_1(X1),powerset(the_carrier(esk1_0))) ),
inference(csr,[status(thm)],[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])]),c_0_23]) ).
cnf(c_0_35,negated_conjecture,
( element(X1,powerset(the_carrier(esk1_0)))
| ordered_pair(X1,X2) != esk4_1(X3)
| ~ in(esk4_1(X3),cartesian_product2(esk2_0,esk3_0))
| ~ in(esk4_1(X3),X3)
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
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,esk3_0)),cartesian_product2(esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_31]) ).
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,X2))
| in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),cartesian_product2(esk2_0,X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_38,plain,
( ordered_pair(esk17_4(X1,X2,X3,X4),esk18_4(X1,X2,X3,X4)) = X4
| esk8_2(X1,X2) = esk9_2(X1,X2)
| ~ in(X4,esk15_3(X1,X2,X3))
| ~ one_sorted_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_39,plain,
( in(esk17_4(X1,X2,X3,X4),X2)
| esk8_2(X1,X2) = esk9_2(X1,X2)
| ~ in(X4,esk15_3(X1,X2,X3))
| ~ one_sorted_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_40,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(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_35,c_0_36]) ).
cnf(c_0_41,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(spm,[status(thm)],[c_0_37,c_0_36]) ).
cnf(c_0_42,negated_conjecture,
( ordered_pair(esk17_4(esk1_0,esk2_0,X1,X2),esk18_4(esk1_0,esk2_0,X1,X2)) = X2
| esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| ~ in(X2,esk15_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_8]),c_0_9])]) ).
cnf(c_0_43,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk17_4(esk1_0,esk2_0,X1,X2),esk2_0)
| ~ in(X2,esk15_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_8]),c_0_9])]) ).
cnf(c_0_44,negated_conjecture,
( X1 != subset_complement(the_carrier(esk1_0),esk5_3(X2,X3,X1))
| ordered_pair(X3,X1) != esk4_1(X2)
| ~ in(X3,esk2_0)
| ~ in(esk4_1(X2),cartesian_product2(esk2_0,esk3_0))
| ~ in(esk4_1(X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_45,plain,
( esk18_4(X2,X3,X4,X5) = subset_complement(the_carrier(X2),X1)
| esk8_2(X2,X3) = esk9_2(X2,X3)
| ~ element(X1,powerset(the_carrier(X2)))
| X1 != esk17_4(X2,X3,X4,X5)
| ~ in(X5,esk15_3(X2,X3,X4))
| ~ one_sorted_str(X2)
| ~ element(X3,powerset(powerset(the_carrier(X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_46,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_40,c_0_41]) ).
cnf(c_0_47,negated_conjecture,
( ordered_pair(esk17_4(esk1_0,esk2_0,esk3_0,esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))),esk18_4(esk1_0,esk2_0,esk3_0,esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)))) = esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_41]) ).
cnf(c_0_48,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk17_4(esk1_0,esk2_0,esk3_0,esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))),esk2_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_41]) ).
cnf(c_0_49,plain,
( esk19_6(X1,X2,X3,X4,X5,X6) = X5
| in(X4,esk15_3(X1,X2,X3))
| esk8_2(X1,X2) = esk10_2(X1,X2)
| ordered_pair(X5,X6) != X4
| ~ in(X5,X2)
| ~ in(X7,cartesian_product2(X2,X3))
| X7 != X4
| ~ one_sorted_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_50,plain,
( in(esk16_4(X1,X2,X3,X4),cartesian_product2(X2,X3))
| esk8_2(X1,X2) = esk10_2(X1,X2)
| ~ in(X4,esk15_3(X1,X2,X3))
| ~ one_sorted_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_51,plain,
( esk16_4(X1,X2,X3,X4) = X4
| esk8_2(X1,X2) = esk10_2(X1,X2)
| ~ in(X4,esk15_3(X1,X2,X3))
| ~ one_sorted_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_52,negated_conjecture,
( ordered_pair(X1,subset_complement(the_carrier(esk1_0),X1)) != esk4_1(X2)
| ~ in(esk4_1(X2),cartesian_product2(esk2_0,esk3_0))
| ~ in(esk4_1(X2),X2)
| ~ in(X1,esk2_0) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_30])]) ).
cnf(c_0_53,plain,
( esk18_4(X1,X2,X3,X4) = subset_complement(the_carrier(X1),esk17_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_45]) ).
cnf(c_0_54,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| element(esk17_4(esk1_0,esk2_0,esk3_0,esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))),powerset(the_carrier(esk1_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
cnf(c_0_55,plain,
( in(esk16_4(X1,X2,X3,X4),cartesian_product2(X2,X3))
| ~ in(X4,esk15_3(X1,X2,X3))
| esk9_2(X1,X2) != esk10_2(X1,X2)
| ~ one_sorted_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_56,plain,
( esk16_4(X1,X2,X3,X4) = X4
| ~ in(X4,esk15_3(X1,X2,X3))
| esk9_2(X1,X2) != esk10_2(X1,X2)
| ~ one_sorted_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_57,plain,
( in(X5,esk15_3(X2,X3,X4))
| esk8_2(X2,X3) = esk10_2(X2,X3)
| X1 != subset_complement(the_carrier(X2),esk19_6(X2,X3,X4,X5,X6,X1))
| ordered_pair(X6,X1) != X5
| ~ in(X6,X3)
| ~ in(X7,cartesian_product2(X3,X4))
| X7 != X5
| ~ one_sorted_str(X2)
| ~ element(X3,powerset(powerset(the_carrier(X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_58,plain,
( esk19_6(X1,X2,X3,ordered_pair(X4,X5),X4,X5) = X4
| esk8_2(X1,X2) = esk10_2(X1,X2)
| in(ordered_pair(X4,X5),esk15_3(X1,X2,X3))
| ~ in(ordered_pair(X4,X5),cartesian_product2(X2,X3))
| ~ in(X4,X2)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_49])]) ).
cnf(c_0_59,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk16_4(esk1_0,esk2_0,X1,X2),cartesian_product2(esk2_0,X1))
| ~ in(X2,esk15_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_8]),c_0_9])]) ).
cnf(c_0_60,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| esk16_4(esk1_0,esk2_0,X1,X2) = X2
| ~ in(X2,esk15_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_8]),c_0_9])]) ).
cnf(c_0_61,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| ordered_pair(X1,subset_complement(the_carrier(esk1_0),X1)) != 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_52,c_0_36]) ).
cnf(c_0_62,negated_conjecture,
( esk18_4(esk1_0,esk2_0,esk3_0,esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))) = subset_complement(the_carrier(esk1_0),esk17_4(esk1_0,esk2_0,esk3_0,esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))))
| esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_8]),c_0_9])]),c_0_41]) ).
cnf(c_0_63,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_55,c_0_56]) ).
cnf(c_0_64,plain,
( element(esk19_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))
| in(X4,esk15_3(X1,X2,X3))
| esk8_2(X1,X2) = esk10_2(X1,X2)
| ordered_pair(X5,X6) != X4
| ~ in(X5,X2)
| ~ in(X7,cartesian_product2(X2,X3))
| X7 != X4
| ~ one_sorted_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_65,plain,
( esk8_2(X1,X2) = esk10_2(X1,X2)
| in(ordered_pair(X3,X4),esk15_3(X1,X2,X5))
| subset_complement(the_carrier(X1),esk19_6(X1,X2,X5,ordered_pair(X3,X4),X3,X4)) != X4
| ~ in(ordered_pair(X3,X4),cartesian_product2(X2,X5))
| ~ in(X3,X2)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_57])]) ).
cnf(c_0_66,negated_conjecture,
( esk19_6(esk1_0,esk2_0,X1,ordered_pair(X2,X3),X2,X3) = X2
| esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(ordered_pair(X2,X3),esk15_3(esk1_0,esk2_0,X1))
| ~ in(ordered_pair(X2,X3),cartesian_product2(esk2_0,X1))
| ~ in(X2,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_8]),c_0_9])]) ).
cnf(c_0_67,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk16_4(esk1_0,esk2_0,X1,esk4_1(esk15_3(esk1_0,esk2_0,X1))),cartesian_product2(esk2_0,X1))
| in(esk4_1(esk15_3(esk1_0,esk2_0,X1)),cartesian_product2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_59,c_0_17]) ).
cnf(c_0_68,negated_conjecture,
( esk16_4(esk1_0,esk2_0,X1,esk4_1(esk15_3(esk1_0,esk2_0,X1))) = esk4_1(esk15_3(esk1_0,esk2_0,X1))
| 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)) ),
inference(spm,[status(thm)],[c_0_60,c_0_17]) ).
cnf(c_0_69,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| ordered_pair(X1,subset_complement(the_carrier(esk1_0),X1)) != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_61,c_0_41]) ).
cnf(c_0_70,negated_conjecture,
( ordered_pair(esk17_4(esk1_0,esk2_0,esk3_0,esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))),subset_complement(the_carrier(esk1_0),esk17_4(esk1_0,esk2_0,esk3_0,esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))))) = esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_62]) ).
cnf(c_0_71,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_63,c_0_17]) ).
cnf(c_0_72,plain,
( esk8_2(X1,X2) = esk10_2(X1,X2)
| in(ordered_pair(X3,X4),esk15_3(X1,X2,X5))
| element(esk19_6(X1,X2,X5,ordered_pair(X3,X4),X3,X4),powerset(the_carrier(X1)))
| ~ in(ordered_pair(X3,X4),cartesian_product2(X2,X5))
| ~ in(X3,X2)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_64])]) ).
cnf(c_0_73,negated_conjecture,
( esk8_2(X1,X2) = esk10_2(X1,X2)
| in(esk4_1(X3),esk15_3(X1,X2,X4))
| in(esk4_1(X3),X3)
| subset_complement(the_carrier(X1),esk19_6(X1,X2,X4,esk4_1(X3),esk6_1(X3),subset_complement(the_carrier(esk1_0),esk6_1(X3)))) != subset_complement(the_carrier(esk1_0),esk6_1(X3))
| ~ in(esk4_1(X3),cartesian_product2(X2,X4))
| ~ in(esk6_1(X3),X2)
| ~ element(esk6_1(X3),powerset(the_carrier(esk1_0)))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_21]) ).
cnf(c_0_74,negated_conjecture,
( esk19_6(esk1_0,esk2_0,X1,esk4_1(X2),esk6_1(X2),subset_complement(the_carrier(esk1_0),esk6_1(X2))) = esk6_1(X2)
| esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk4_1(X2),esk15_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| ~ in(esk4_1(X2),cartesian_product2(esk2_0,X1))
| ~ element(esk6_1(X2),powerset(the_carrier(esk1_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_21]),c_0_23]) ).
cnf(c_0_75,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(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_76,negated_conjecture,
esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_48]) ).
cnf(c_0_77,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_71,c_0_8]),c_0_9])]) ).
cnf(c_0_78,negated_conjecture,
( esk8_2(X1,X2) = esk10_2(X1,X2)
| in(esk4_1(X3),esk15_3(X1,X2,X4))
| in(esk4_1(X3),X3)
| element(esk19_6(X1,X2,X4,esk4_1(X3),esk6_1(X3),esk7_1(X3)),powerset(the_carrier(X1)))
| ~ in(esk4_1(X3),cartesian_product2(X2,X4))
| ~ in(esk6_1(X3),X2)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_13]) ).
cnf(c_0_79,negated_conjecture,
( esk19_6(esk1_0,esk2_0,X1,esk4_1(X2),esk6_1(X2),esk7_1(X2)) = esk6_1(X2)
| esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk4_1(X2),esk15_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| ~ in(esk4_1(X2),cartesian_product2(esk2_0,X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_13]),c_0_23]) ).
cnf(c_0_80,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk15_3(esk1_0,esk2_0,X2))
| in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),cartesian_product2(esk2_0,X2))
| ~ element(esk6_1(X1),powerset(the_carrier(esk1_0))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_8]),c_0_9])]),c_0_23]) ).
cnf(c_0_81,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_75,c_0_76]),c_0_77]) ).
cnf(c_0_82,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk15_3(esk1_0,esk2_0,X2))
| in(esk4_1(X1),X1)
| element(esk19_6(esk1_0,esk2_0,X2,esk4_1(X1),esk6_1(X1),esk7_1(X1)),powerset(the_carrier(esk1_0)))
| ~ in(esk4_1(X1),cartesian_product2(esk2_0,X2)) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_8]),c_0_9])]),c_0_76]),c_0_23]) ).
cnf(c_0_83,negated_conjecture,
( esk19_6(esk1_0,esk2_0,X1,esk4_1(X2),esk6_1(X2),esk7_1(X2)) = esk6_1(X2)
| esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk4_1(X2),esk15_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| ~ in(esk4_1(X2),cartesian_product2(esk2_0,X1)) ),
inference(rw,[status(thm)],[c_0_79,c_0_76]) ).
cnf(c_0_84,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk15_3(esk1_0,esk2_0,X2))
| in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),cartesian_product2(esk2_0,X2))
| ~ element(esk6_1(X1),powerset(the_carrier(esk1_0))) ),
inference(rw,[status(thm)],[c_0_80,c_0_76]) ).
cnf(c_0_85,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_81]) ).
cnf(c_0_86,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk15_3(esk1_0,esk2_0,X2))
| in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),cartesian_product2(esk2_0,X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]) ).
cnf(c_0_87,plain,
( ordered_pair(esk17_4(X1,X2,X3,X4),esk18_4(X1,X2,X3,X4)) = X4
| esk8_2(X1,X2) = esk10_2(X1,X2)
| ~ in(X4,esk15_3(X1,X2,X3))
| ~ one_sorted_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_88,plain,
( in(esk17_4(X1,X2,X3,X4),X2)
| esk8_2(X1,X2) = esk10_2(X1,X2)
| ~ in(X4,esk15_3(X1,X2,X3))
| ~ one_sorted_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_89,negated_conjecture,
( element(X1,powerset(the_carrier(esk1_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_35,c_0_85]) ).
cnf(c_0_90,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(spm,[status(thm)],[c_0_86,c_0_85]) ).
cnf(c_0_91,negated_conjecture,
( ordered_pair(esk17_4(esk1_0,esk2_0,X1,X2),esk18_4(esk1_0,esk2_0,X1,X2)) = X2
| esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| ~ in(X2,esk15_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_8]),c_0_9])]) ).
cnf(c_0_92,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk17_4(esk1_0,esk2_0,X1,X2),esk2_0)
| ~ in(X2,esk15_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_8]),c_0_9])]) ).
cnf(c_0_93,plain,
( esk18_4(X2,X3,X4,X5) = subset_complement(the_carrier(X2),X1)
| esk8_2(X2,X3) = esk10_2(X2,X3)
| ~ element(X1,powerset(the_carrier(X2)))
| X1 != esk17_4(X2,X3,X4,X5)
| ~ in(X5,esk15_3(X2,X3,X4))
| ~ one_sorted_str(X2)
| ~ element(X3,powerset(powerset(the_carrier(X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_94,negated_conjecture,
( esk10_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_89,c_0_90]) ).
cnf(c_0_95,negated_conjecture,
( ordered_pair(esk17_4(esk1_0,esk2_0,X1,X2),esk18_4(esk1_0,esk2_0,X1,X2)) = X2
| esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| ~ in(X2,esk15_3(esk1_0,esk2_0,X1)) ),
inference(rw,[status(thm)],[c_0_91,c_0_76]) ).
cnf(c_0_96,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk17_4(esk1_0,esk2_0,X1,X2),esk2_0)
| ~ in(X2,esk15_3(esk1_0,esk2_0,X1)) ),
inference(rw,[status(thm)],[c_0_92,c_0_76]) ).
cnf(c_0_97,plain,
( esk18_4(X1,X2,X3,X4) = subset_complement(the_carrier(X1),esk17_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_93]) ).
cnf(c_0_98,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| element(esk17_4(esk1_0,esk2_0,X1,esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))),powerset(the_carrier(esk1_0)))
| ~ in(esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)),esk15_3(esk1_0,esk2_0,X1)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95])]),c_0_96]) ).
cnf(c_0_99,negated_conjecture,
( ordered_pair(X1,subset_complement(the_carrier(esk1_0),X1)) != 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_52,c_0_85]) ).
cnf(c_0_100,negated_conjecture,
( esk18_4(esk1_0,esk2_0,X1,esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))) = subset_complement(the_carrier(esk1_0),esk17_4(esk1_0,esk2_0,X1,esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))))
| 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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_76]),c_0_8]),c_0_9])]) ).
cnf(c_0_101,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| ordered_pair(X1,subset_complement(the_carrier(esk1_0),X1)) != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_99,c_0_90]) ).
cnf(c_0_102,negated_conjecture,
( ordered_pair(esk17_4(esk1_0,esk2_0,X1,esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))),subset_complement(the_carrier(esk1_0),esk17_4(esk1_0,esk2_0,X1,esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))))) = esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| 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(spm,[status(thm)],[c_0_95,c_0_100]) ).
cnf(c_0_103,plain,
( esk19_6(X1,X2,X3,X4,X5,X6) = X5
| in(X4,esk15_3(X1,X2,X3))
| ordered_pair(X5,X6) != X4
| ~ in(X5,X2)
| ~ in(X7,cartesian_product2(X2,X3))
| X7 != X4
| esk9_2(X1,X2) != esk10_2(X1,X2)
| ~ one_sorted_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_104,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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_96]) ).
cnf(c_0_105,plain,
( element(esk19_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))
| in(X4,esk15_3(X1,X2,X3))
| ordered_pair(X5,X6) != X4
| ~ in(X5,X2)
| ~ in(X7,cartesian_product2(X2,X3))
| X7 != X4
| esk9_2(X1,X2) != esk10_2(X1,X2)
| ~ one_sorted_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_106,plain,
( in(X5,esk15_3(X2,X3,X4))
| X1 != subset_complement(the_carrier(X2),esk19_6(X2,X3,X4,X5,X6,X1))
| ordered_pair(X6,X1) != X5
| ~ in(X6,X3)
| ~ in(X7,cartesian_product2(X3,X4))
| X7 != X5
| esk9_2(X2,X3) != esk10_2(X2,X3)
| ~ one_sorted_str(X2)
| ~ element(X3,powerset(powerset(the_carrier(X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_107,plain,
( esk19_6(X1,X2,X3,ordered_pair(X4,X5),X4,X5) = X4
| in(ordered_pair(X4,X5),esk15_3(X1,X2,X3))
| esk10_2(X1,X2) != esk9_2(X1,X2)
| ~ in(ordered_pair(X4,X5),cartesian_product2(X2,X3))
| ~ in(X4,X2)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_103])]) ).
cnf(c_0_108,negated_conjecture,
esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_104,c_0_90]) ).
cnf(c_0_109,plain,
( in(ordered_pair(X1,X2),esk15_3(X3,X4,X5))
| element(esk19_6(X3,X4,X5,ordered_pair(X1,X2),X1,X2),powerset(the_carrier(X3)))
| esk10_2(X3,X4) != esk9_2(X3,X4)
| ~ in(ordered_pair(X1,X2),cartesian_product2(X4,X5))
| ~ in(X1,X4)
| ~ element(X4,powerset(powerset(the_carrier(X3))))
| ~ one_sorted_str(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_105])]) ).
cnf(c_0_110,plain,
( in(ordered_pair(X1,X2),esk15_3(X3,X4,X5))
| subset_complement(the_carrier(X3),esk19_6(X3,X4,X5,ordered_pair(X1,X2),X1,X2)) != X2
| esk10_2(X3,X4) != esk9_2(X3,X4)
| ~ in(ordered_pair(X1,X2),cartesian_product2(X4,X5))
| ~ in(X1,X4)
| ~ element(X4,powerset(powerset(the_carrier(X3))))
| ~ one_sorted_str(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_106])]) ).
cnf(c_0_111,negated_conjecture,
( esk19_6(esk1_0,esk2_0,X1,ordered_pair(X2,X3),X2,X3) = X2
| in(ordered_pair(X2,X3),esk15_3(esk1_0,esk2_0,X1))
| ~ in(ordered_pair(X2,X3),cartesian_product2(esk2_0,X1))
| ~ in(X2,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_8]),c_0_9])]) ).
cnf(c_0_112,negated_conjecture,
( in(ordered_pair(X1,X2),esk15_3(esk1_0,esk2_0,X3))
| element(esk19_6(esk1_0,esk2_0,X3,ordered_pair(X1,X2),X1,X2),powerset(the_carrier(esk1_0)))
| ~ in(ordered_pair(X1,X2),cartesian_product2(esk2_0,X3))
| ~ in(X1,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_108]),c_0_8]),c_0_9])]) ).
cnf(c_0_113,negated_conjecture,
( in(ordered_pair(X1,subset_complement(the_carrier(esk1_0),X1)),esk15_3(esk1_0,esk2_0,X2))
| ~ in(ordered_pair(X1,subset_complement(the_carrier(esk1_0),X1)),cartesian_product2(esk2_0,X2))
| ~ in(X1,esk2_0) ),
inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_108]),c_0_8]),c_0_9])])]) ).
cnf(c_0_114,negated_conjecture,
( in(ordered_pair(X1,X2),esk15_3(esk1_0,esk2_0,X3))
| element(X1,powerset(the_carrier(esk1_0)))
| ~ in(ordered_pair(X1,X2),cartesian_product2(esk2_0,X3))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_111]) ).
cnf(c_0_115,negated_conjecture,
( in(esk4_1(X1),esk15_3(esk1_0,esk2_0,X2))
| in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),cartesian_product2(esk2_0,X2))
| ~ element(esk6_1(X1),powerset(the_carrier(esk1_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_21]),c_0_23]) ).
cnf(c_0_116,plain,
( esk18_4(X2,X3,X4,X5) = subset_complement(the_carrier(X2),X1)
| ~ element(X1,powerset(the_carrier(X2)))
| X1 != esk17_4(X2,X3,X4,X5)
| ~ in(X5,esk15_3(X2,X3,X4))
| esk9_2(X2,X3) != esk10_2(X2,X3)
| ~ one_sorted_str(X2)
| ~ element(X3,powerset(powerset(the_carrier(X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_117,negated_conjecture,
( in(esk4_1(X1),esk15_3(esk1_0,esk2_0,X2))
| in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),cartesian_product2(esk2_0,X2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_13]),c_0_23]),c_0_115]) ).
cnf(c_0_118,plain,
( ordered_pair(esk17_4(X1,X2,X3,X4),esk18_4(X1,X2,X3,X4)) = X4
| ~ in(X4,esk15_3(X1,X2,X3))
| esk9_2(X1,X2) != esk10_2(X1,X2)
| ~ one_sorted_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_119,plain,
( esk18_4(X1,X2,X3,X4) = subset_complement(the_carrier(X1),esk17_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,
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_117,c_0_85]) ).
cnf(c_0_121,plain,
( ordered_pair(esk17_4(X1,X2,X3,X4),subset_complement(the_carrier(X1),esk17_4(X1,X2,X3,X4))) = 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(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_122,plain,
( in(esk17_4(X1,X2,X3,X4),X2)
| ~ in(X4,esk15_3(X1,X2,X3))
| esk9_2(X1,X2) != esk10_2(X1,X2)
| ~ one_sorted_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_123,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(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_120])]) ).
cnf(c_0_124,negated_conjecture,
( ordered_pair(X1,subset_complement(the_carrier(esk1_0),X1)) != esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_120])]) ).
cnf(c_0_125,negated_conjecture,
( ordered_pair(esk17_4(esk1_0,esk2_0,X1,X2),subset_complement(the_carrier(esk1_0),esk17_4(esk1_0,esk2_0,X1,X2))) = X2
| ~ in(X2,esk15_3(esk1_0,esk2_0,X1))
| ~ element(esk17_4(esk1_0,esk2_0,X1,X2),powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_108]),c_0_8]),c_0_9])]) ).
cnf(c_0_126,negated_conjecture,
( in(esk17_4(esk1_0,esk2_0,X1,X2),esk2_0)
| ~ in(X2,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_122,c_0_108]),c_0_8]),c_0_9])]) ).
cnf(c_0_127,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)],[inference(spm,[status(thm)],[c_0_123,c_0_118])]) ).
cnf(c_0_128,negated_conjecture,
( ~ in(esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)),esk15_3(esk1_0,esk2_0,X1))
| ~ element(esk17_4(esk1_0,esk2_0,X1,esk4_1(esk15_3(esk1_0,esk2_0,esk3_0))),powerset(the_carrier(esk1_0))) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125])]),c_0_126]) ).
cnf(c_0_129,negated_conjecture,
~ in(esk4_1(esk15_3(esk1_0,esk2_0,esk3_0)),esk15_3(esk1_0,esk2_0,X1)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_108]),c_0_8]),c_0_9])]),c_0_126]),c_0_128]) ).
cnf(c_0_130,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_120,c_0_129]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU332+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.15 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n022.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 2400
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Oct 2 08:19:40 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.53 Running first-order theorem proving
% 0.21/0.53 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.iVGclX9wcY/E---3.1_17600.p
% 41.17/5.72 # Version: 3.1pre001
% 41.17/5.72 # Preprocessing class: FSMSSMSSSSSNFFN.
% 41.17/5.72 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 41.17/5.72 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 41.17/5.72 # Starting new_bool_3 with 300s (1) cores
% 41.17/5.72 # Starting new_bool_1 with 300s (1) cores
% 41.17/5.72 # Starting sh5l with 300s (1) cores
% 41.17/5.72 # sh5l with pid 17718 completed with status 0
% 41.17/5.72 # Result found by sh5l
% 41.17/5.72 # Preprocessing class: FSMSSMSSSSSNFFN.
% 41.17/5.72 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 41.17/5.72 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 41.17/5.72 # Starting new_bool_3 with 300s (1) cores
% 41.17/5.72 # Starting new_bool_1 with 300s (1) cores
% 41.17/5.72 # Starting sh5l with 300s (1) cores
% 41.17/5.72 # SinE strategy is gf500_gu_R04_F100_L20000
% 41.17/5.72 # Search class: FGHSS-FSLM32-MFFFFFNN
% 41.17/5.72 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 41.17/5.72 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 181s (1) cores
% 41.17/5.72 # G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with pid 17721 completed with status 0
% 41.17/5.72 # Result found by G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y
% 41.17/5.72 # Preprocessing class: FSMSSMSSSSSNFFN.
% 41.17/5.72 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 41.17/5.72 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 41.17/5.72 # Starting new_bool_3 with 300s (1) cores
% 41.17/5.72 # Starting new_bool_1 with 300s (1) cores
% 41.17/5.72 # Starting sh5l with 300s (1) cores
% 41.17/5.72 # SinE strategy is gf500_gu_R04_F100_L20000
% 41.17/5.72 # Search class: FGHSS-FSLM32-MFFFFFNN
% 41.17/5.72 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 41.17/5.72 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 181s (1) cores
% 41.17/5.72 # Preprocessing time : 0.004 s
% 41.17/5.72 # Presaturation interreduction done
% 41.17/5.72
% 41.17/5.72 # Proof found!
% 41.17/5.72 # SZS status Theorem
% 41.17/5.72 # SZS output start CNFRefutation
% See solution above
% 41.17/5.72 # Parsed axioms : 32
% 41.17/5.72 # Removed by relevancy pruning/SinE : 6
% 41.17/5.72 # Initial clauses : 136
% 41.17/5.72 # Removed in clause preprocessing : 0
% 41.17/5.72 # Initial clauses in saturation : 136
% 41.17/5.72 # Processed clauses : 18646
% 41.17/5.72 # ...of these trivial : 5
% 41.17/5.72 # ...subsumed : 12758
% 41.17/5.72 # ...remaining for further processing : 5883
% 41.17/5.72 # Other redundant clauses eliminated : 1941
% 41.17/5.72 # Clauses deleted for lack of memory : 0
% 41.17/5.72 # Backward-subsumed : 2129
% 41.17/5.72 # Backward-rewritten : 1282
% 41.17/5.72 # Generated clauses : 54196
% 41.17/5.72 # ...of the previous two non-redundant : 51158
% 41.17/5.72 # ...aggressively subsumed : 0
% 41.17/5.72 # Contextual simplify-reflections : 991
% 41.17/5.72 # Paramodulations : 52176
% 41.17/5.72 # Factorizations : 32
% 41.17/5.72 # NegExts : 0
% 41.17/5.72 # Equation resolutions : 2022
% 41.17/5.72 # Total rewrite steps : 15831
% 41.17/5.72 # Propositional unsat checks : 1
% 41.17/5.72 # Propositional check models : 1
% 41.17/5.72 # Propositional check unsatisfiable : 0
% 41.17/5.72 # Propositional clauses : 0
% 41.17/5.72 # Propositional clauses after purity: 0
% 41.17/5.72 # Propositional unsat core size : 0
% 41.17/5.72 # Propositional preprocessing time : 0.000
% 41.17/5.72 # Propositional encoding time : 0.089
% 41.17/5.72 # Propositional solver time : 0.002
% 41.17/5.72 # Success case prop preproc time : 0.000
% 41.17/5.72 # Success case prop encoding time : 0.000
% 41.17/5.72 # Success case prop solver time : 0.000
% 41.17/5.72 # Current number of processed clauses : 2290
% 41.17/5.72 # Positive orientable unit clauses : 18
% 41.17/5.72 # Positive unorientable unit clauses: 0
% 41.17/5.72 # Negative unit clauses : 7
% 41.17/5.72 # Non-unit-clauses : 2265
% 41.17/5.72 # Current number of unprocessed clauses: 27062
% 41.17/5.72 # ...number of literals in the above : 240878
% 41.17/5.72 # Current number of archived formulas : 0
% 41.17/5.72 # Current number of archived clauses : 3548
% 41.17/5.72 # Clause-clause subsumption calls (NU) : 6401262
% 41.17/5.72 # Rec. Clause-clause subsumption calls : 220965
% 41.17/5.72 # Non-unit clause-clause subsumptions : 14963
% 41.17/5.72 # Unit Clause-clause subsumption calls : 5529
% 41.17/5.72 # Rewrite failures with RHS unbound : 0
% 41.17/5.72 # BW rewrite match attempts : 29
% 41.17/5.72 # BW rewrite match successes : 6
% 41.17/5.72 # Condensation attempts : 0
% 41.17/5.72 # Condensation successes : 0
% 41.17/5.72 # Termbank termtop insertions : 3856692
% 41.17/5.72
% 41.17/5.72 # -------------------------------------------------
% 41.17/5.72 # User time : 5.108 s
% 41.17/5.72 # System time : 0.041 s
% 41.17/5.72 # Total time : 5.150 s
% 41.17/5.72 # Maximum resident set size: 2216 pages
% 41.17/5.72
% 41.17/5.72 # -------------------------------------------------
% 41.17/5.72 # User time : 5.110 s
% 41.17/5.72 # System time : 0.044 s
% 41.17/5.72 # Total time : 5.154 s
% 41.17/5.72 # Maximum resident set size: 1732 pages
% 41.17/5.72 % E---3.1 exiting
% 41.17/5.72 % E---3.1 exiting
%------------------------------------------------------------------------------