TSTP Solution File: SEU332+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU332+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n025.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 : 300s
% DateTime : Thu Aug 31 16:24:31 EDT 2023
% Result : Theorem 3.58s 3.69s
% Output : CNFRefutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 44
% Syntax : Number of formulae : 173 ( 8 unt; 42 typ; 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 types : 2 ( 0 usr)
% Number of type conns : 68 ( 38 >; 30 *; 0 +; 0 <<)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 4 con; 0-6 aty)
% Number of variables : 381 ( 8 sgn; 35 !; 14 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
one_sorted_str: $i > $o ).
tff(decl_23,type,
the_carrier: $i > $i ).
tff(decl_24,type,
powerset: $i > $i ).
tff(decl_25,type,
element: ( $i * $i ) > $o ).
tff(decl_26,type,
in: ( $i * $i ) > $o ).
tff(decl_27,type,
cartesian_product2: ( $i * $i ) > $i ).
tff(decl_28,type,
ordered_pair: ( $i * $i ) > $i ).
tff(decl_29,type,
subset_complement: ( $i * $i ) > $i ).
tff(decl_30,type,
v5_membered: $i > $o ).
tff(decl_31,type,
v4_membered: $i > $o ).
tff(decl_32,type,
v3_membered: $i > $o ).
tff(decl_33,type,
v2_membered: $i > $o ).
tff(decl_34,type,
v1_membered: $i > $o ).
tff(decl_35,type,
empty: $i > $o ).
tff(decl_36,type,
v1_xcmplx_0: $i > $o ).
tff(decl_37,type,
v1_xreal_0: $i > $o ).
tff(decl_38,type,
v1_rat_1: $i > $o ).
tff(decl_39,type,
v1_int_1: $i > $o ).
tff(decl_40,type,
natural: $i > $o ).
tff(decl_41,type,
relation: $i > $o ).
tff(decl_42,type,
esk1_0: $i ).
tff(decl_43,type,
esk2_0: $i ).
tff(decl_44,type,
esk3_0: $i ).
tff(decl_45,type,
esk4_1: $i > $i ).
tff(decl_46,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_47,type,
esk6_1: $i > $i ).
tff(decl_48,type,
esk7_1: $i > $i ).
tff(decl_49,type,
esk8_0: $i ).
tff(decl_50,type,
esk9_1: $i > $i ).
tff(decl_51,type,
esk10_1: $i > $i ).
tff(decl_52,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_53,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_54,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_55,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_56,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_57,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_58,type,
esk17_2: ( $i * $i ) > $i ).
tff(decl_59,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_60,type,
esk19_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_61,type,
esk20_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_62,type,
esk21_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_63,type,
esk22_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
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/benchmark/theBenchmark.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/benchmark/theBenchmark.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,
! [X69,X70,X76,X79,X80,X82,X86,X87,X88,X89,X90] :
( ( in(esk19_4(X69,X70,X80,X82),cartesian_product2(X70,X80))
| ~ in(X82,esk18_3(X69,X70,X80))
| esk11_2(X69,X70) = esk12_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( esk19_4(X69,X70,X80,X82) = X82
| ~ in(X82,esk18_3(X69,X70,X80))
| esk11_2(X69,X70) = esk12_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( ordered_pair(esk20_4(X69,X70,X80,X82),esk21_4(X69,X70,X80,X82)) = X82
| ~ in(X82,esk18_3(X69,X70,X80))
| esk11_2(X69,X70) = esk12_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( in(esk20_4(X69,X70,X80,X82),X70)
| ~ in(X82,esk18_3(X69,X70,X80))
| esk11_2(X69,X70) = esk12_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( ~ element(X86,powerset(the_carrier(X69)))
| X86 != esk20_4(X69,X70,X80,X82)
| esk21_4(X69,X70,X80,X82) = subset_complement(the_carrier(X69),X86)
| ~ in(X82,esk18_3(X69,X70,X80))
| esk11_2(X69,X70) = esk12_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( element(esk22_6(X69,X70,X80,X87,X89,X90),powerset(the_carrier(X69)))
| ordered_pair(X89,X90) != X87
| ~ in(X89,X70)
| ~ in(X88,cartesian_product2(X70,X80))
| X88 != X87
| in(X87,esk18_3(X69,X70,X80))
| esk11_2(X69,X70) = esk12_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( esk22_6(X69,X70,X80,X87,X89,X90) = X89
| ordered_pair(X89,X90) != X87
| ~ in(X89,X70)
| ~ in(X88,cartesian_product2(X70,X80))
| X88 != X87
| in(X87,esk18_3(X69,X70,X80))
| esk11_2(X69,X70) = esk12_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( X90 != subset_complement(the_carrier(X69),esk22_6(X69,X70,X80,X87,X89,X90))
| ordered_pair(X89,X90) != X87
| ~ in(X89,X70)
| ~ in(X88,cartesian_product2(X70,X80))
| X88 != X87
| in(X87,esk18_3(X69,X70,X80))
| esk11_2(X69,X70) = esk12_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( in(esk19_4(X69,X70,X80,X82),cartesian_product2(X70,X80))
| ~ in(X82,esk18_3(X69,X70,X80))
| ordered_pair(esk14_2(X69,X70),esk15_2(X69,X70)) = esk12_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( esk19_4(X69,X70,X80,X82) = X82
| ~ in(X82,esk18_3(X69,X70,X80))
| ordered_pair(esk14_2(X69,X70),esk15_2(X69,X70)) = esk12_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( ordered_pair(esk20_4(X69,X70,X80,X82),esk21_4(X69,X70,X80,X82)) = X82
| ~ in(X82,esk18_3(X69,X70,X80))
| ordered_pair(esk14_2(X69,X70),esk15_2(X69,X70)) = esk12_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( in(esk20_4(X69,X70,X80,X82),X70)
| ~ in(X82,esk18_3(X69,X70,X80))
| ordered_pair(esk14_2(X69,X70),esk15_2(X69,X70)) = esk12_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( ~ element(X86,powerset(the_carrier(X69)))
| X86 != esk20_4(X69,X70,X80,X82)
| esk21_4(X69,X70,X80,X82) = subset_complement(the_carrier(X69),X86)
| ~ in(X82,esk18_3(X69,X70,X80))
| ordered_pair(esk14_2(X69,X70),esk15_2(X69,X70)) = esk12_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( element(esk22_6(X69,X70,X80,X87,X89,X90),powerset(the_carrier(X69)))
| ordered_pair(X89,X90) != X87
| ~ in(X89,X70)
| ~ in(X88,cartesian_product2(X70,X80))
| X88 != X87
| in(X87,esk18_3(X69,X70,X80))
| ordered_pair(esk14_2(X69,X70),esk15_2(X69,X70)) = esk12_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( esk22_6(X69,X70,X80,X87,X89,X90) = X89
| ordered_pair(X89,X90) != X87
| ~ in(X89,X70)
| ~ in(X88,cartesian_product2(X70,X80))
| X88 != X87
| in(X87,esk18_3(X69,X70,X80))
| ordered_pair(esk14_2(X69,X70),esk15_2(X69,X70)) = esk12_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( X90 != subset_complement(the_carrier(X69),esk22_6(X69,X70,X80,X87,X89,X90))
| ordered_pair(X89,X90) != X87
| ~ in(X89,X70)
| ~ in(X88,cartesian_product2(X70,X80))
| X88 != X87
| in(X87,esk18_3(X69,X70,X80))
| ordered_pair(esk14_2(X69,X70),esk15_2(X69,X70)) = esk12_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( in(esk19_4(X69,X70,X80,X82),cartesian_product2(X70,X80))
| ~ in(X82,esk18_3(X69,X70,X80))
| in(esk14_2(X69,X70),X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( esk19_4(X69,X70,X80,X82) = X82
| ~ in(X82,esk18_3(X69,X70,X80))
| in(esk14_2(X69,X70),X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( ordered_pair(esk20_4(X69,X70,X80,X82),esk21_4(X69,X70,X80,X82)) = X82
| ~ in(X82,esk18_3(X69,X70,X80))
| in(esk14_2(X69,X70),X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( in(esk20_4(X69,X70,X80,X82),X70)
| ~ in(X82,esk18_3(X69,X70,X80))
| in(esk14_2(X69,X70),X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( ~ element(X86,powerset(the_carrier(X69)))
| X86 != esk20_4(X69,X70,X80,X82)
| esk21_4(X69,X70,X80,X82) = subset_complement(the_carrier(X69),X86)
| ~ in(X82,esk18_3(X69,X70,X80))
| in(esk14_2(X69,X70),X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( element(esk22_6(X69,X70,X80,X87,X89,X90),powerset(the_carrier(X69)))
| ordered_pair(X89,X90) != X87
| ~ in(X89,X70)
| ~ in(X88,cartesian_product2(X70,X80))
| X88 != X87
| in(X87,esk18_3(X69,X70,X80))
| in(esk14_2(X69,X70),X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( esk22_6(X69,X70,X80,X87,X89,X90) = X89
| ordered_pair(X89,X90) != X87
| ~ in(X89,X70)
| ~ in(X88,cartesian_product2(X70,X80))
| X88 != X87
| in(X87,esk18_3(X69,X70,X80))
| in(esk14_2(X69,X70),X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( X90 != subset_complement(the_carrier(X69),esk22_6(X69,X70,X80,X87,X89,X90))
| ordered_pair(X89,X90) != X87
| ~ in(X89,X70)
| ~ in(X88,cartesian_product2(X70,X80))
| X88 != X87
| in(X87,esk18_3(X69,X70,X80))
| in(esk14_2(X69,X70),X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( in(esk19_4(X69,X70,X80,X82),cartesian_product2(X70,X80))
| ~ in(X82,esk18_3(X69,X70,X80))
| ~ element(X76,powerset(the_carrier(X69)))
| X76 != esk14_2(X69,X70)
| esk15_2(X69,X70) = subset_complement(the_carrier(X69),X76)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( esk19_4(X69,X70,X80,X82) = X82
| ~ in(X82,esk18_3(X69,X70,X80))
| ~ element(X76,powerset(the_carrier(X69)))
| X76 != esk14_2(X69,X70)
| esk15_2(X69,X70) = subset_complement(the_carrier(X69),X76)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( ordered_pair(esk20_4(X69,X70,X80,X82),esk21_4(X69,X70,X80,X82)) = X82
| ~ in(X82,esk18_3(X69,X70,X80))
| ~ element(X76,powerset(the_carrier(X69)))
| X76 != esk14_2(X69,X70)
| esk15_2(X69,X70) = subset_complement(the_carrier(X69),X76)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( in(esk20_4(X69,X70,X80,X82),X70)
| ~ in(X82,esk18_3(X69,X70,X80))
| ~ element(X76,powerset(the_carrier(X69)))
| X76 != esk14_2(X69,X70)
| esk15_2(X69,X70) = subset_complement(the_carrier(X69),X76)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( ~ element(X86,powerset(the_carrier(X69)))
| X86 != esk20_4(X69,X70,X80,X82)
| esk21_4(X69,X70,X80,X82) = subset_complement(the_carrier(X69),X86)
| ~ in(X82,esk18_3(X69,X70,X80))
| ~ element(X76,powerset(the_carrier(X69)))
| X76 != esk14_2(X69,X70)
| esk15_2(X69,X70) = subset_complement(the_carrier(X69),X76)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( element(esk22_6(X69,X70,X80,X87,X89,X90),powerset(the_carrier(X69)))
| ordered_pair(X89,X90) != X87
| ~ in(X89,X70)
| ~ in(X88,cartesian_product2(X70,X80))
| X88 != X87
| in(X87,esk18_3(X69,X70,X80))
| ~ element(X76,powerset(the_carrier(X69)))
| X76 != esk14_2(X69,X70)
| esk15_2(X69,X70) = subset_complement(the_carrier(X69),X76)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( esk22_6(X69,X70,X80,X87,X89,X90) = X89
| ordered_pair(X89,X90) != X87
| ~ in(X89,X70)
| ~ in(X88,cartesian_product2(X70,X80))
| X88 != X87
| in(X87,esk18_3(X69,X70,X80))
| ~ element(X76,powerset(the_carrier(X69)))
| X76 != esk14_2(X69,X70)
| esk15_2(X69,X70) = subset_complement(the_carrier(X69),X76)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( X90 != subset_complement(the_carrier(X69),esk22_6(X69,X70,X80,X87,X89,X90))
| ordered_pair(X89,X90) != X87
| ~ in(X89,X70)
| ~ in(X88,cartesian_product2(X70,X80))
| X88 != X87
| in(X87,esk18_3(X69,X70,X80))
| ~ element(X76,powerset(the_carrier(X69)))
| X76 != esk14_2(X69,X70)
| esk15_2(X69,X70) = subset_complement(the_carrier(X69),X76)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( in(esk19_4(X69,X70,X80,X82),cartesian_product2(X70,X80))
| ~ in(X82,esk18_3(X69,X70,X80))
| esk11_2(X69,X70) = esk13_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( esk19_4(X69,X70,X80,X82) = X82
| ~ in(X82,esk18_3(X69,X70,X80))
| esk11_2(X69,X70) = esk13_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( ordered_pair(esk20_4(X69,X70,X80,X82),esk21_4(X69,X70,X80,X82)) = X82
| ~ in(X82,esk18_3(X69,X70,X80))
| esk11_2(X69,X70) = esk13_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( in(esk20_4(X69,X70,X80,X82),X70)
| ~ in(X82,esk18_3(X69,X70,X80))
| esk11_2(X69,X70) = esk13_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( ~ element(X86,powerset(the_carrier(X69)))
| X86 != esk20_4(X69,X70,X80,X82)
| esk21_4(X69,X70,X80,X82) = subset_complement(the_carrier(X69),X86)
| ~ in(X82,esk18_3(X69,X70,X80))
| esk11_2(X69,X70) = esk13_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( element(esk22_6(X69,X70,X80,X87,X89,X90),powerset(the_carrier(X69)))
| ordered_pair(X89,X90) != X87
| ~ in(X89,X70)
| ~ in(X88,cartesian_product2(X70,X80))
| X88 != X87
| in(X87,esk18_3(X69,X70,X80))
| esk11_2(X69,X70) = esk13_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( esk22_6(X69,X70,X80,X87,X89,X90) = X89
| ordered_pair(X89,X90) != X87
| ~ in(X89,X70)
| ~ in(X88,cartesian_product2(X70,X80))
| X88 != X87
| in(X87,esk18_3(X69,X70,X80))
| esk11_2(X69,X70) = esk13_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( X90 != subset_complement(the_carrier(X69),esk22_6(X69,X70,X80,X87,X89,X90))
| ordered_pair(X89,X90) != X87
| ~ in(X89,X70)
| ~ in(X88,cartesian_product2(X70,X80))
| X88 != X87
| in(X87,esk18_3(X69,X70,X80))
| esk11_2(X69,X70) = esk13_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( in(esk19_4(X69,X70,X80,X82),cartesian_product2(X70,X80))
| ~ in(X82,esk18_3(X69,X70,X80))
| ordered_pair(esk16_2(X69,X70),esk17_2(X69,X70)) = esk13_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( esk19_4(X69,X70,X80,X82) = X82
| ~ in(X82,esk18_3(X69,X70,X80))
| ordered_pair(esk16_2(X69,X70),esk17_2(X69,X70)) = esk13_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( ordered_pair(esk20_4(X69,X70,X80,X82),esk21_4(X69,X70,X80,X82)) = X82
| ~ in(X82,esk18_3(X69,X70,X80))
| ordered_pair(esk16_2(X69,X70),esk17_2(X69,X70)) = esk13_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( in(esk20_4(X69,X70,X80,X82),X70)
| ~ in(X82,esk18_3(X69,X70,X80))
| ordered_pair(esk16_2(X69,X70),esk17_2(X69,X70)) = esk13_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( ~ element(X86,powerset(the_carrier(X69)))
| X86 != esk20_4(X69,X70,X80,X82)
| esk21_4(X69,X70,X80,X82) = subset_complement(the_carrier(X69),X86)
| ~ in(X82,esk18_3(X69,X70,X80))
| ordered_pair(esk16_2(X69,X70),esk17_2(X69,X70)) = esk13_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( element(esk22_6(X69,X70,X80,X87,X89,X90),powerset(the_carrier(X69)))
| ordered_pair(X89,X90) != X87
| ~ in(X89,X70)
| ~ in(X88,cartesian_product2(X70,X80))
| X88 != X87
| in(X87,esk18_3(X69,X70,X80))
| ordered_pair(esk16_2(X69,X70),esk17_2(X69,X70)) = esk13_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( esk22_6(X69,X70,X80,X87,X89,X90) = X89
| ordered_pair(X89,X90) != X87
| ~ in(X89,X70)
| ~ in(X88,cartesian_product2(X70,X80))
| X88 != X87
| in(X87,esk18_3(X69,X70,X80))
| ordered_pair(esk16_2(X69,X70),esk17_2(X69,X70)) = esk13_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( X90 != subset_complement(the_carrier(X69),esk22_6(X69,X70,X80,X87,X89,X90))
| ordered_pair(X89,X90) != X87
| ~ in(X89,X70)
| ~ in(X88,cartesian_product2(X70,X80))
| X88 != X87
| in(X87,esk18_3(X69,X70,X80))
| ordered_pair(esk16_2(X69,X70),esk17_2(X69,X70)) = esk13_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( in(esk19_4(X69,X70,X80,X82),cartesian_product2(X70,X80))
| ~ in(X82,esk18_3(X69,X70,X80))
| in(esk16_2(X69,X70),X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( esk19_4(X69,X70,X80,X82) = X82
| ~ in(X82,esk18_3(X69,X70,X80))
| in(esk16_2(X69,X70),X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( ordered_pair(esk20_4(X69,X70,X80,X82),esk21_4(X69,X70,X80,X82)) = X82
| ~ in(X82,esk18_3(X69,X70,X80))
| in(esk16_2(X69,X70),X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( in(esk20_4(X69,X70,X80,X82),X70)
| ~ in(X82,esk18_3(X69,X70,X80))
| in(esk16_2(X69,X70),X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( ~ element(X86,powerset(the_carrier(X69)))
| X86 != esk20_4(X69,X70,X80,X82)
| esk21_4(X69,X70,X80,X82) = subset_complement(the_carrier(X69),X86)
| ~ in(X82,esk18_3(X69,X70,X80))
| in(esk16_2(X69,X70),X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( element(esk22_6(X69,X70,X80,X87,X89,X90),powerset(the_carrier(X69)))
| ordered_pair(X89,X90) != X87
| ~ in(X89,X70)
| ~ in(X88,cartesian_product2(X70,X80))
| X88 != X87
| in(X87,esk18_3(X69,X70,X80))
| in(esk16_2(X69,X70),X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( esk22_6(X69,X70,X80,X87,X89,X90) = X89
| ordered_pair(X89,X90) != X87
| ~ in(X89,X70)
| ~ in(X88,cartesian_product2(X70,X80))
| X88 != X87
| in(X87,esk18_3(X69,X70,X80))
| in(esk16_2(X69,X70),X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( X90 != subset_complement(the_carrier(X69),esk22_6(X69,X70,X80,X87,X89,X90))
| ordered_pair(X89,X90) != X87
| ~ in(X89,X70)
| ~ in(X88,cartesian_product2(X70,X80))
| X88 != X87
| in(X87,esk18_3(X69,X70,X80))
| in(esk16_2(X69,X70),X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( in(esk19_4(X69,X70,X80,X82),cartesian_product2(X70,X80))
| ~ in(X82,esk18_3(X69,X70,X80))
| ~ element(X79,powerset(the_carrier(X69)))
| X79 != esk16_2(X69,X70)
| esk17_2(X69,X70) = subset_complement(the_carrier(X69),X79)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( esk19_4(X69,X70,X80,X82) = X82
| ~ in(X82,esk18_3(X69,X70,X80))
| ~ element(X79,powerset(the_carrier(X69)))
| X79 != esk16_2(X69,X70)
| esk17_2(X69,X70) = subset_complement(the_carrier(X69),X79)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( ordered_pair(esk20_4(X69,X70,X80,X82),esk21_4(X69,X70,X80,X82)) = X82
| ~ in(X82,esk18_3(X69,X70,X80))
| ~ element(X79,powerset(the_carrier(X69)))
| X79 != esk16_2(X69,X70)
| esk17_2(X69,X70) = subset_complement(the_carrier(X69),X79)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( in(esk20_4(X69,X70,X80,X82),X70)
| ~ in(X82,esk18_3(X69,X70,X80))
| ~ element(X79,powerset(the_carrier(X69)))
| X79 != esk16_2(X69,X70)
| esk17_2(X69,X70) = subset_complement(the_carrier(X69),X79)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( ~ element(X86,powerset(the_carrier(X69)))
| X86 != esk20_4(X69,X70,X80,X82)
| esk21_4(X69,X70,X80,X82) = subset_complement(the_carrier(X69),X86)
| ~ in(X82,esk18_3(X69,X70,X80))
| ~ element(X79,powerset(the_carrier(X69)))
| X79 != esk16_2(X69,X70)
| esk17_2(X69,X70) = subset_complement(the_carrier(X69),X79)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( element(esk22_6(X69,X70,X80,X87,X89,X90),powerset(the_carrier(X69)))
| ordered_pair(X89,X90) != X87
| ~ in(X89,X70)
| ~ in(X88,cartesian_product2(X70,X80))
| X88 != X87
| in(X87,esk18_3(X69,X70,X80))
| ~ element(X79,powerset(the_carrier(X69)))
| X79 != esk16_2(X69,X70)
| esk17_2(X69,X70) = subset_complement(the_carrier(X69),X79)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( esk22_6(X69,X70,X80,X87,X89,X90) = X89
| ordered_pair(X89,X90) != X87
| ~ in(X89,X70)
| ~ in(X88,cartesian_product2(X70,X80))
| X88 != X87
| in(X87,esk18_3(X69,X70,X80))
| ~ element(X79,powerset(the_carrier(X69)))
| X79 != esk16_2(X69,X70)
| esk17_2(X69,X70) = subset_complement(the_carrier(X69),X79)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( X90 != subset_complement(the_carrier(X69),esk22_6(X69,X70,X80,X87,X89,X90))
| ordered_pair(X89,X90) != X87
| ~ in(X89,X70)
| ~ in(X88,cartesian_product2(X70,X80))
| X88 != X87
| in(X87,esk18_3(X69,X70,X80))
| ~ element(X79,powerset(the_carrier(X69)))
| X79 != esk16_2(X69,X70)
| esk17_2(X69,X70) = subset_complement(the_carrier(X69),X79)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( in(esk19_4(X69,X70,X80,X82),cartesian_product2(X70,X80))
| ~ in(X82,esk18_3(X69,X70,X80))
| esk12_2(X69,X70) != esk13_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( esk19_4(X69,X70,X80,X82) = X82
| ~ in(X82,esk18_3(X69,X70,X80))
| esk12_2(X69,X70) != esk13_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( ordered_pair(esk20_4(X69,X70,X80,X82),esk21_4(X69,X70,X80,X82)) = X82
| ~ in(X82,esk18_3(X69,X70,X80))
| esk12_2(X69,X70) != esk13_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( in(esk20_4(X69,X70,X80,X82),X70)
| ~ in(X82,esk18_3(X69,X70,X80))
| esk12_2(X69,X70) != esk13_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( ~ element(X86,powerset(the_carrier(X69)))
| X86 != esk20_4(X69,X70,X80,X82)
| esk21_4(X69,X70,X80,X82) = subset_complement(the_carrier(X69),X86)
| ~ in(X82,esk18_3(X69,X70,X80))
| esk12_2(X69,X70) != esk13_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( element(esk22_6(X69,X70,X80,X87,X89,X90),powerset(the_carrier(X69)))
| ordered_pair(X89,X90) != X87
| ~ in(X89,X70)
| ~ in(X88,cartesian_product2(X70,X80))
| X88 != X87
| in(X87,esk18_3(X69,X70,X80))
| esk12_2(X69,X70) != esk13_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( esk22_6(X69,X70,X80,X87,X89,X90) = X89
| ordered_pair(X89,X90) != X87
| ~ in(X89,X70)
| ~ in(X88,cartesian_product2(X70,X80))
| X88 != X87
| in(X87,esk18_3(X69,X70,X80))
| esk12_2(X69,X70) != esk13_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) )
& ( X90 != subset_complement(the_carrier(X69),esk22_6(X69,X70,X80,X87,X89,X90))
| ordered_pair(X89,X90) != X87
| ~ in(X89,X70)
| ~ in(X88,cartesian_product2(X70,X80))
| X88 != X87
| in(X87,esk18_3(X69,X70,X80))
| esk12_2(X69,X70) != esk13_2(X69,X70)
| ~ one_sorted_str(X69)
| ~ element(X70,powerset(powerset(the_carrier(X69)))) ) ),
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,
( esk22_6(X1,X2,X3,X4,X5,X6) = X5
| in(X4,esk18_3(X1,X2,X3))
| esk11_2(X1,X2) = esk12_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(esk19_4(X1,X2,X3,X4),cartesian_product2(X2,X3))
| esk11_2(X1,X2) = esk12_2(X1,X2)
| ~ in(X4,esk18_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,
( esk19_4(X1,X2,X3,X4) = X4
| esk11_2(X1,X2) = esk12_2(X1,X2)
| ~ in(X4,esk18_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(esk22_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))
| in(X4,esk18_3(X1,X2,X3))
| esk11_2(X1,X2) = esk12_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,esk18_3(X2,X3,X4))
| esk11_2(X2,X3) = esk12_2(X2,X3)
| X1 != subset_complement(the_carrier(X2),esk22_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,
( esk22_6(X1,X2,X3,ordered_pair(X4,X5),X4,X5) = X4
| esk11_2(X1,X2) = esk12_2(X1,X2)
| in(ordered_pair(X4,X5),esk18_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,
( esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| in(esk19_4(esk1_0,esk2_0,X1,X2),cartesian_product2(esk2_0,X1))
| ~ in(X2,esk18_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_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,
( esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| esk19_4(esk1_0,esk2_0,X1,X2) = X2
| ~ in(X2,esk18_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_8]),c_0_9])]) ).
cnf(c_0_19,plain,
( esk11_2(X1,X2) = esk12_2(X1,X2)
| in(ordered_pair(X3,X4),esk18_3(X1,X2,X5))
| element(esk22_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,
( esk11_2(X1,X2) = esk12_2(X1,X2)
| in(ordered_pair(X3,X4),esk18_3(X1,X2,X5))
| subset_complement(the_carrier(X1),esk22_6(X1,X2,X5,ordered_pair(X3,X4),X3,X4)) != X4
| ~ 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,
( esk22_6(esk1_0,esk2_0,X1,ordered_pair(X2,X3),X2,X3) = X2
| esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| in(ordered_pair(X2,X3),esk18_3(esk1_0,esk2_0,X1))
| ~ in(ordered_pair(X2,X3),cartesian_product2(esk2_0,X1))
| ~ in(X2,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_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,
( esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| in(esk19_4(esk1_0,esk2_0,X1,esk4_1(esk18_3(esk1_0,esk2_0,X1))),cartesian_product2(esk2_0,X1))
| in(esk4_1(esk18_3(esk1_0,esk2_0,X1)),cartesian_product2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_25,negated_conjecture,
( esk19_4(esk1_0,esk2_0,X1,esk4_1(esk18_3(esk1_0,esk2_0,X1))) = esk4_1(esk18_3(esk1_0,esk2_0,X1))
| esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| in(esk4_1(esk18_3(esk1_0,esk2_0,X1)),cartesian_product2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_18,c_0_17]) ).
cnf(c_0_26,negated_conjecture,
( esk11_2(X1,X2) = esk12_2(X1,X2)
| in(esk4_1(X3),esk18_3(X1,X2,X4))
| in(esk4_1(X3),X3)
| element(esk22_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,
( esk11_2(X1,X2) = esk12_2(X1,X2)
| in(esk4_1(X3),esk18_3(X1,X2,X4))
| in(esk4_1(X3),X3)
| subset_complement(the_carrier(X1),esk22_6(X1,X2,X4,esk4_1(X3),esk6_1(X3),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,
( esk22_6(esk1_0,esk2_0,X1,esk4_1(X2),esk6_1(X2),subset_complement(the_carrier(esk1_0),esk6_1(X2))) = esk6_1(X2)
| esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| in(esk4_1(X2),esk18_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| ~ in(esk4_1(X2),cartesian_product2(esk2_0,X1))
| ~ 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,
( esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| in(esk4_1(esk18_3(esk1_0,esk2_0,X1)),cartesian_product2(esk2_0,esk3_0))
| in(esk4_1(esk18_3(esk1_0,esk2_0,X1)),cartesian_product2(esk2_0,X1)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_32,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk18_3(esk1_0,esk2_0,X2))
| in(esk4_1(X1),X1)
| element(esk22_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,
( esk22_6(esk1_0,esk2_0,X1,esk4_1(X2),esk6_1(X2),esk7_1(X2)) = esk6_1(X2)
| esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| in(esk4_1(X2),esk18_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| ~ in(esk4_1(X2),cartesian_product2(esk2_0,X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_13]),c_0_23]) ).
cnf(c_0_34,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk18_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,
( esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_31]) ).
cnf(c_0_37,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk18_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(esk20_4(X1,X2,X3,X4),esk21_4(X1,X2,X3,X4)) = X4
| esk11_2(X1,X2) = esk12_2(X1,X2)
| ~ in(X4,esk18_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(esk20_4(X1,X2,X3,X4),X2)
| esk11_2(X1,X2) = esk12_2(X1,X2)
| ~ in(X4,esk18_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,
( esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| element(X1,powerset(the_carrier(esk1_0)))
| ordered_pair(X1,X2) != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),esk18_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,
( esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),esk18_3(esk1_0,esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_37,c_0_36]) ).
cnf(c_0_42,negated_conjecture,
( ordered_pair(esk20_4(esk1_0,esk2_0,X1,X2),esk21_4(esk1_0,esk2_0,X1,X2)) = X2
| esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| ~ in(X2,esk18_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_8]),c_0_9])]) ).
cnf(c_0_43,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| in(esk20_4(esk1_0,esk2_0,X1,X2),esk2_0)
| ~ in(X2,esk18_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_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,
( esk21_4(X2,X3,X4,X5) = subset_complement(the_carrier(X2),X1)
| esk11_2(X2,X3) = esk12_2(X2,X3)
| ~ element(X1,powerset(the_carrier(X2)))
| X1 != esk20_4(X2,X3,X4,X5)
| ~ in(X5,esk18_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,
( esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| element(X1,powerset(the_carrier(esk1_0)))
| ordered_pair(X1,X2) != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_47,negated_conjecture,
( ordered_pair(esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)))) = esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_41]) ).
cnf(c_0_48,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| in(esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),esk2_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_41]) ).
cnf(c_0_49,plain,
( esk22_6(X1,X2,X3,X4,X5,X6) = X5
| in(X4,esk18_3(X1,X2,X3))
| esk11_2(X1,X2) = esk13_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(esk19_4(X1,X2,X3,X4),cartesian_product2(X2,X3))
| esk11_2(X1,X2) = esk13_2(X1,X2)
| ~ in(X4,esk18_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,
( esk19_4(X1,X2,X3,X4) = X4
| esk11_2(X1,X2) = esk13_2(X1,X2)
| ~ in(X4,esk18_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,
( esk21_4(X1,X2,X3,X4) = subset_complement(the_carrier(X1),esk20_4(X1,X2,X3,X4))
| esk11_2(X1,X2) = esk12_2(X1,X2)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(esk20_4(X1,X2,X3,X4),powerset(the_carrier(X1)))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[c_0_45]) ).
cnf(c_0_54,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| element(esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),powerset(the_carrier(esk1_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
cnf(c_0_55,plain,
( in(esk19_4(X1,X2,X3,X4),cartesian_product2(X2,X3))
| ~ in(X4,esk18_3(X1,X2,X3))
| esk12_2(X1,X2) != esk13_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,
( esk19_4(X1,X2,X3,X4) = X4
| ~ in(X4,esk18_3(X1,X2,X3))
| esk12_2(X1,X2) != esk13_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,esk18_3(X2,X3,X4))
| esk11_2(X2,X3) = esk13_2(X2,X3)
| X1 != subset_complement(the_carrier(X2),esk22_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,
( esk22_6(X1,X2,X3,ordered_pair(X4,X5),X4,X5) = X4
| esk11_2(X1,X2) = esk13_2(X1,X2)
| in(ordered_pair(X4,X5),esk18_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,
( esk11_2(esk1_0,esk2_0) = esk13_2(esk1_0,esk2_0)
| in(esk19_4(esk1_0,esk2_0,X1,X2),cartesian_product2(esk2_0,X1))
| ~ in(X2,esk18_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_8]),c_0_9])]) ).
cnf(c_0_60,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk13_2(esk1_0,esk2_0)
| esk19_4(esk1_0,esk2_0,X1,X2) = X2
| ~ in(X2,esk18_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_8]),c_0_9])]) ).
cnf(c_0_61,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| ordered_pair(X1,subset_complement(the_carrier(esk1_0),X1)) != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),esk18_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,
( esk21_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))) = subset_complement(the_carrier(esk1_0),esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))))
| esk11_2(esk1_0,esk2_0) = esk12_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))
| esk13_2(X4,X2) != esk12_2(X4,X2)
| ~ in(X1,esk18_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(esk22_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))
| in(X4,esk18_3(X1,X2,X3))
| esk11_2(X1,X2) = esk13_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,
( esk11_2(X1,X2) = esk13_2(X1,X2)
| in(ordered_pair(X3,X4),esk18_3(X1,X2,X5))
| subset_complement(the_carrier(X1),esk22_6(X1,X2,X5,ordered_pair(X3,X4),X3,X4)) != X4
| ~ 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,
( esk22_6(esk1_0,esk2_0,X1,ordered_pair(X2,X3),X2,X3) = X2
| esk11_2(esk1_0,esk2_0) = esk13_2(esk1_0,esk2_0)
| in(ordered_pair(X2,X3),esk18_3(esk1_0,esk2_0,X1))
| ~ in(ordered_pair(X2,X3),cartesian_product2(esk2_0,X1))
| ~ in(X2,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_8]),c_0_9])]) ).
cnf(c_0_67,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk13_2(esk1_0,esk2_0)
| in(esk19_4(esk1_0,esk2_0,X1,esk4_1(esk18_3(esk1_0,esk2_0,X1))),cartesian_product2(esk2_0,X1))
| in(esk4_1(esk18_3(esk1_0,esk2_0,X1)),cartesian_product2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_59,c_0_17]) ).
cnf(c_0_68,negated_conjecture,
( esk19_4(esk1_0,esk2_0,X1,esk4_1(esk18_3(esk1_0,esk2_0,X1))) = esk4_1(esk18_3(esk1_0,esk2_0,X1))
| esk11_2(esk1_0,esk2_0) = esk13_2(esk1_0,esk2_0)
| in(esk4_1(esk18_3(esk1_0,esk2_0,X1)),cartesian_product2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_60,c_0_17]) ).
cnf(c_0_69,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| ordered_pair(X1,subset_complement(the_carrier(esk1_0),X1)) != esk4_1(esk18_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(esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),subset_complement(the_carrier(esk1_0),esk20_4(esk1_0,esk2_0,esk3_0,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))))) = esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| esk11_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_62]) ).
cnf(c_0_71,negated_conjecture,
( in(esk4_1(esk18_3(X1,X2,X3)),cartesian_product2(esk2_0,esk3_0))
| in(esk4_1(esk18_3(X1,X2,X3)),cartesian_product2(X2,X3))
| esk13_2(X1,X2) != esk12_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,
( esk11_2(X1,X2) = esk13_2(X1,X2)
| in(ordered_pair(X3,X4),esk18_3(X1,X2,X5))
| element(esk22_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,
( esk11_2(X1,X2) = esk13_2(X1,X2)
| in(esk4_1(X3),esk18_3(X1,X2,X4))
| in(esk4_1(X3),X3)
| subset_complement(the_carrier(X1),esk22_6(X1,X2,X4,esk4_1(X3),esk6_1(X3),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,
( esk22_6(esk1_0,esk2_0,X1,esk4_1(X2),esk6_1(X2),subset_complement(the_carrier(esk1_0),esk6_1(X2))) = esk6_1(X2)
| esk11_2(esk1_0,esk2_0) = esk13_2(esk1_0,esk2_0)
| in(esk4_1(X2),esk18_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| ~ in(esk4_1(X2),cartesian_product2(esk2_0,X1))
| ~ 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,
( esk11_2(esk1_0,esk2_0) = esk13_2(esk1_0,esk2_0)
| in(esk4_1(esk18_3(esk1_0,esk2_0,X1)),cartesian_product2(esk2_0,esk3_0))
| in(esk4_1(esk18_3(esk1_0,esk2_0,X1)),cartesian_product2(esk2_0,X1)) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_76,negated_conjecture,
esk11_2(esk1_0,esk2_0) = esk12_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(esk18_3(esk1_0,esk2_0,X1)),cartesian_product2(esk2_0,esk3_0))
| in(esk4_1(esk18_3(esk1_0,esk2_0,X1)),cartesian_product2(esk2_0,X1))
| esk13_2(esk1_0,esk2_0) != esk12_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,
( esk11_2(X1,X2) = esk13_2(X1,X2)
| in(esk4_1(X3),esk18_3(X1,X2,X4))
| in(esk4_1(X3),X3)
| element(esk22_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,
( esk22_6(esk1_0,esk2_0,X1,esk4_1(X2),esk6_1(X2),esk7_1(X2)) = esk6_1(X2)
| esk11_2(esk1_0,esk2_0) = esk13_2(esk1_0,esk2_0)
| in(esk4_1(X2),esk18_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| ~ in(esk4_1(X2),cartesian_product2(esk2_0,X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_13]),c_0_23]) ).
cnf(c_0_80,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk13_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk18_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(esk18_3(esk1_0,esk2_0,X1)),cartesian_product2(esk2_0,esk3_0))
| in(esk4_1(esk18_3(esk1_0,esk2_0,X1)),cartesian_product2(esk2_0,X1)) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).
cnf(c_0_82,negated_conjecture,
( esk13_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk18_3(esk1_0,esk2_0,X2))
| in(esk4_1(X1),X1)
| element(esk22_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,
( esk22_6(esk1_0,esk2_0,X1,esk4_1(X2),esk6_1(X2),esk7_1(X2)) = esk6_1(X2)
| esk13_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| in(esk4_1(X2),esk18_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| ~ in(esk4_1(X2),cartesian_product2(esk2_0,X1)) ),
inference(rw,[status(thm)],[c_0_79,c_0_76]) ).
cnf(c_0_84,negated_conjecture,
( esk13_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk18_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(esk18_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,
( esk13_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk18_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(esk20_4(X1,X2,X3,X4),esk21_4(X1,X2,X3,X4)) = X4
| esk11_2(X1,X2) = esk13_2(X1,X2)
| ~ in(X4,esk18_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(esk20_4(X1,X2,X3,X4),X2)
| esk11_2(X1,X2) = esk13_2(X1,X2)
| ~ in(X4,esk18_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(esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),esk18_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,
( esk13_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),esk18_3(esk1_0,esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_86,c_0_85]) ).
cnf(c_0_91,negated_conjecture,
( ordered_pair(esk20_4(esk1_0,esk2_0,X1,X2),esk21_4(esk1_0,esk2_0,X1,X2)) = X2
| esk11_2(esk1_0,esk2_0) = esk13_2(esk1_0,esk2_0)
| ~ in(X2,esk18_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_8]),c_0_9])]) ).
cnf(c_0_92,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk13_2(esk1_0,esk2_0)
| in(esk20_4(esk1_0,esk2_0,X1,X2),esk2_0)
| ~ in(X2,esk18_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_8]),c_0_9])]) ).
cnf(c_0_93,plain,
( esk21_4(X2,X3,X4,X5) = subset_complement(the_carrier(X2),X1)
| esk11_2(X2,X3) = esk13_2(X2,X3)
| ~ element(X1,powerset(the_carrier(X2)))
| X1 != esk20_4(X2,X3,X4,X5)
| ~ in(X5,esk18_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,
( esk13_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| element(X1,powerset(the_carrier(esk1_0)))
| ordered_pair(X1,X2) != esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_95,negated_conjecture,
( ordered_pair(esk20_4(esk1_0,esk2_0,X1,X2),esk21_4(esk1_0,esk2_0,X1,X2)) = X2
| esk13_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| ~ in(X2,esk18_3(esk1_0,esk2_0,X1)) ),
inference(rw,[status(thm)],[c_0_91,c_0_76]) ).
cnf(c_0_96,negated_conjecture,
( esk13_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| in(esk20_4(esk1_0,esk2_0,X1,X2),esk2_0)
| ~ in(X2,esk18_3(esk1_0,esk2_0,X1)) ),
inference(rw,[status(thm)],[c_0_92,c_0_76]) ).
cnf(c_0_97,plain,
( esk21_4(X1,X2,X3,X4) = subset_complement(the_carrier(X1),esk20_4(X1,X2,X3,X4))
| esk11_2(X1,X2) = esk13_2(X1,X2)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(esk20_4(X1,X2,X3,X4),powerset(the_carrier(X1)))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[c_0_93]) ).
cnf(c_0_98,negated_conjecture,
( esk13_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| element(esk20_4(esk1_0,esk2_0,X1,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),powerset(the_carrier(esk1_0)))
| ~ in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),esk18_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(esk18_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),esk18_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,
( esk21_4(esk1_0,esk2_0,X1,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))) = subset_complement(the_carrier(esk1_0),esk20_4(esk1_0,esk2_0,X1,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))))
| esk13_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| ~ in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),esk18_3(esk1_0,esk2_0,X1)) ),
inference(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,
( esk13_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| ordered_pair(X1,subset_complement(the_carrier(esk1_0),X1)) != esk4_1(esk18_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(esk20_4(esk1_0,esk2_0,X1,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),subset_complement(the_carrier(esk1_0),esk20_4(esk1_0,esk2_0,X1,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))))) = esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))
| esk13_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| ~ in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),esk18_3(esk1_0,esk2_0,X1)) ),
inference(spm,[status(thm)],[c_0_95,c_0_100]) ).
cnf(c_0_103,plain,
( esk22_6(X1,X2,X3,X4,X5,X6) = X5
| in(X4,esk18_3(X1,X2,X3))
| ordered_pair(X5,X6) != X4
| ~ in(X5,X2)
| ~ in(X7,cartesian_product2(X2,X3))
| X7 != X4
| esk12_2(X1,X2) != esk13_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,
( esk13_2(esk1_0,esk2_0) = esk12_2(esk1_0,esk2_0)
| ~ in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),esk18_3(esk1_0,esk2_0,X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_96]) ).
cnf(c_0_105,plain,
( element(esk22_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))
| in(X4,esk18_3(X1,X2,X3))
| ordered_pair(X5,X6) != X4
| ~ in(X5,X2)
| ~ in(X7,cartesian_product2(X2,X3))
| X7 != X4
| esk12_2(X1,X2) != esk13_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,esk18_3(X2,X3,X4))
| X1 != subset_complement(the_carrier(X2),esk22_6(X2,X3,X4,X5,X6,X1))
| ordered_pair(X6,X1) != X5
| ~ in(X6,X3)
| ~ in(X7,cartesian_product2(X3,X4))
| X7 != X5
| esk12_2(X2,X3) != esk13_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,
( esk22_6(X1,X2,X3,ordered_pair(X4,X5),X4,X5) = X4
| in(ordered_pair(X4,X5),esk18_3(X1,X2,X3))
| esk13_2(X1,X2) != esk12_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,
esk13_2(esk1_0,esk2_0) = esk12_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),esk18_3(X3,X4,X5))
| element(esk22_6(X3,X4,X5,ordered_pair(X1,X2),X1,X2),powerset(the_carrier(X3)))
| esk13_2(X3,X4) != esk12_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),esk18_3(X3,X4,X5))
| subset_complement(the_carrier(X3),esk22_6(X3,X4,X5,ordered_pair(X1,X2),X1,X2)) != X2
| esk13_2(X3,X4) != esk12_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,
( esk22_6(esk1_0,esk2_0,X1,ordered_pair(X2,X3),X2,X3) = X2
| in(ordered_pair(X2,X3),esk18_3(esk1_0,esk2_0,X1))
| ~ in(ordered_pair(X2,X3),cartesian_product2(esk2_0,X1))
| ~ in(X2,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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),esk18_3(esk1_0,esk2_0,X3))
| element(esk22_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)),esk18_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),esk18_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),esk18_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,
( esk21_4(X2,X3,X4,X5) = subset_complement(the_carrier(X2),X1)
| ~ element(X1,powerset(the_carrier(X2)))
| X1 != esk20_4(X2,X3,X4,X5)
| ~ in(X5,esk18_3(X2,X3,X4))
| esk12_2(X2,X3) != esk13_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),esk18_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(esk20_4(X1,X2,X3,X4),esk21_4(X1,X2,X3,X4)) = X4
| ~ in(X4,esk18_3(X1,X2,X3))
| esk12_2(X1,X2) != esk13_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,
( esk21_4(X1,X2,X3,X4) = subset_complement(the_carrier(X1),esk20_4(X1,X2,X3,X4))
| esk13_2(X1,X2) != esk12_2(X1,X2)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(esk20_4(X1,X2,X3,X4),powerset(the_carrier(X1)))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[c_0_116]) ).
cnf(c_0_120,negated_conjecture,
in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),esk18_3(esk1_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_117,c_0_85]) ).
cnf(c_0_121,plain,
( ordered_pair(esk20_4(X1,X2,X3,X4),subset_complement(the_carrier(X1),esk20_4(X1,X2,X3,X4))) = X4
| esk13_2(X1,X2) != esk12_2(X1,X2)
| ~ in(X4,esk18_3(X1,X2,X3))
| ~ element(esk20_4(X1,X2,X3,X4),powerset(the_carrier(X1)))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_122,plain,
( in(esk20_4(X1,X2,X3,X4),X2)
| ~ in(X4,esk18_3(X1,X2,X3))
| esk12_2(X1,X2) != esk13_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(esk18_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(esk18_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(esk20_4(esk1_0,esk2_0,X1,X2),subset_complement(the_carrier(esk1_0),esk20_4(esk1_0,esk2_0,X1,X2))) = X2
| ~ in(X2,esk18_3(esk1_0,esk2_0,X1))
| ~ element(esk20_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(esk20_4(esk1_0,esk2_0,X1,X2),esk2_0)
| ~ in(X2,esk18_3(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_108]),c_0_8]),c_0_9])]) ).
cnf(c_0_127,negated_conjecture,
( element(esk20_4(X1,X2,X3,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),powerset(the_carrier(esk1_0)))
| esk13_2(X1,X2) != esk12_2(X1,X2)
| ~ in(esk20_4(X1,X2,X3,esk4_1(esk18_3(esk1_0,esk2_0,esk3_0))),esk2_0)
| ~ in(esk4_1(esk18_3(esk1_0,esk2_0,esk3_0)),esk18_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(esk18_3(esk1_0,esk2_0,esk3_0)),esk18_3(esk1_0,esk2_0,X1))
| ~ element(esk20_4(esk1_0,esk2_0,X1,esk4_1(esk18_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(esk18_3(esk1_0,esk2_0,esk3_0)),esk18_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
% 0.00/0.12 % Problem : SEU332+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 14:34:50 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 3.58/3.69 % Version : CSE_E---1.5
% 3.58/3.69 % Problem : theBenchmark.p
% 3.58/3.69 % Proof found
% 3.58/3.69 % SZS status Theorem for theBenchmark.p
% 3.58/3.69 % SZS output start Proof
% See solution above
% 3.58/3.71 % Total time : 3.109000 s
% 3.58/3.71 % SZS output end Proof
% 3.58/3.71 % Total time : 3.112000 s
%------------------------------------------------------------------------------