%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU334+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 09:19:05 EDT 2022
% Result : Theorem 0.85s 124.01s
% Output : CNFRefutation 0.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 62
% Number of leaves : 9
% Syntax : Number of formulae : 205 ( 24 unt; 0 def)
% Number of atoms : 1131 ( 422 equ)
% Maximal formula atoms : 218 ( 5 avg)
% Number of connectives : 1422 ( 496 ~; 798 |; 82 &)
% ( 6 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 50 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 3 con; 0-4 aty)
% Number of variables : 382 ( 21 sgn 86 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s2_funct_1__e4_7_2__tops_2,conjecture,
! [X1,X2] :
( ( one_sorted_str(X1)
& element(X2,powerset(powerset(the_carrier(X1)))) )
=> ( ( ! [X3,X4,X5] :
( ( in(X3,X2)
& ! [X6] :
( element(X6,powerset(the_carrier(X1)))
=> ( X6 = X3
=> X4 = subset_complement(the_carrier(X1),X6) ) )
& ! [X7] :
( element(X7,powerset(the_carrier(X1)))
=> ( X7 = X3
=> X5 = subset_complement(the_carrier(X1),X7) ) ) )
=> X4 = X5 )
& ! [X3] :
~ ( in(X3,X2)
& ! [X4] :
~ ! [X8] :
( element(X8,powerset(the_carrier(X1)))
=> ( X8 = X3
=> X4 = subset_complement(the_carrier(X1),X8) ) ) ) )
=> ? [X3] :
( relation(X3)
& function(X3)
& relation_dom(X3) = X2
& ! [X4] :
( in(X4,X2)
=> ! [X9] :
( element(X9,powerset(the_carrier(X1)))
=> ( X9 = X4
=> apply(X3,X4) = subset_complement(the_carrier(X1),X9) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',s2_funct_1__e4_7_2__tops_2) ).
fof(d4_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( X2 = relation_dom(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] : in(ordered_pair(X3,X4),X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d4_relat_1) ).
fof(t2_tarski,axiom,
! [X1,X2] :
( ! [X3] :
( in(X3,X1)
<=> in(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_tarski) ).
fof(s1_funct_1__e4_7_2__tops_2__1,axiom,
! [X1,X2] :
( ( one_sorted_str(X1)
& element(X2,powerset(powerset(the_carrier(X1)))) )
=> ( ! [X3,X4,X5] :
( ( in(X3,X2)
& ! [X6] :
( element(X6,powerset(the_carrier(X1)))
=> ( X6 = X3
=> X4 = subset_complement(the_carrier(X1),X6) ) )
& in(X3,X2)
& ! [X7] :
( element(X7,powerset(the_carrier(X1)))
=> ( X7 = X3
=> X5 = subset_complement(the_carrier(X1),X7) ) ) )
=> X4 = X5 )
=> ? [X3] :
( relation(X3)
& function(X3)
& ! [X4,X5] :
( in(ordered_pair(X4,X5),X3)
<=> ( in(X4,X2)
& in(X4,X2)
& ! [X8] :
( element(X8,powerset(the_carrier(X1)))
=> ( X8 = X4
=> X5 = subset_complement(the_carrier(X1),X8) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',s1_funct_1__e4_7_2__tops_2__1) ).
fof(d4_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2,X3] :
( ( in(X2,relation_dom(X1))
=> ( X3 = apply(X1,X2)
<=> in(ordered_pair(X2,X3),X1) ) )
& ( ~ in(X2,relation_dom(X1))
=> ( X3 = apply(X1,X2)
<=> X3 = empty_set ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d4_funct_1) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_subset) ).
fof(fc1_subset_1,axiom,
! [X1] : ~ empty(powerset(X1)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc1_subset_1) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',existence_m1_subset_1) ).
fof(t1_subset,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t1_subset) ).
fof(c_0_9,negated_conjecture,
~ ! [X1,X2] :
( ( one_sorted_str(X1)
& element(X2,powerset(powerset(the_carrier(X1)))) )
=> ( ( ! [X3,X4,X5] :
( ( in(X3,X2)
& ! [X6] :
( element(X6,powerset(the_carrier(X1)))
=> ( X6 = X3
=> X4 = subset_complement(the_carrier(X1),X6) ) )
& ! [X7] :
( element(X7,powerset(the_carrier(X1)))
=> ( X7 = X3
=> X5 = subset_complement(the_carrier(X1),X7) ) ) )
=> X4 = X5 )
& ! [X3] :
~ ( in(X3,X2)
& ! [X4] :
~ ! [X8] :
( element(X8,powerset(the_carrier(X1)))
=> ( X8 = X3
=> X4 = subset_complement(the_carrier(X1),X8) ) ) ) )
=> ? [X3] :
( relation(X3)
& function(X3)
& relation_dom(X3) = X2
& ! [X4] :
( in(X4,X2)
=> ! [X9] :
( element(X9,powerset(the_carrier(X1)))
=> ( X9 = X4
=> apply(X3,X4) = subset_complement(the_carrier(X1),X9) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[s2_funct_1__e4_7_2__tops_2]) ).
fof(c_0_10,plain,
! [X5,X6,X7,X7,X9,X6,X11] :
( ( ~ in(X7,X6)
| in(ordered_pair(X7,esk17_3(X5,X6,X7)),X5)
| X6 != relation_dom(X5)
| ~ relation(X5) )
& ( ~ in(ordered_pair(X7,X9),X5)
| in(X7,X6)
| X6 != relation_dom(X5)
| ~ relation(X5) )
& ( ~ in(esk18_2(X5,X6),X6)
| ~ in(ordered_pair(esk18_2(X5,X6),X11),X5)
| X6 = relation_dom(X5)
| ~ relation(X5) )
& ( in(esk18_2(X5,X6),X6)
| in(ordered_pair(esk18_2(X5,X6),esk19_2(X5,X6)),X5)
| X6 = relation_dom(X5)
| ~ relation(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_relat_1])])])])])])]) ).
fof(c_0_11,plain,
! [X4,X5] :
( ( ~ in(esk16_2(X4,X5),X4)
| ~ in(esk16_2(X4,X5),X5)
| X4 = X5 )
& ( in(esk16_2(X4,X5),X4)
| in(esk16_2(X4,X5),X5)
| X4 = X5 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])])])]) ).
fof(c_0_12,plain,
! [X9,X10,X14,X15,X17,X18,X19,X17,X18] :
( ( relation(esk11_2(X9,X10))
| in(esk8_2(X9,X10),X10)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( function(esk11_2(X9,X10))
| in(esk8_2(X9,X10),X10)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( in(X17,X10)
| ~ in(ordered_pair(X17,X18),esk11_2(X9,X10))
| in(esk8_2(X9,X10),X10)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( ~ element(X19,powerset(the_carrier(X9)))
| X19 != X17
| X18 = subset_complement(the_carrier(X9),X19)
| ~ in(ordered_pair(X17,X18),esk11_2(X9,X10))
| in(esk8_2(X9,X10),X10)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( element(esk12_4(X9,X10,X17,X18),powerset(the_carrier(X9)))
| ~ in(X17,X10)
| in(ordered_pair(X17,X18),esk11_2(X9,X10))
| in(esk8_2(X9,X10),X10)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( esk12_4(X9,X10,X17,X18) = X17
| ~ in(X17,X10)
| in(ordered_pair(X17,X18),esk11_2(X9,X10))
| in(esk8_2(X9,X10),X10)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( X18 != subset_complement(the_carrier(X9),esk12_4(X9,X10,X17,X18))
| ~ in(X17,X10)
| in(ordered_pair(X17,X18),esk11_2(X9,X10))
| in(esk8_2(X9,X10),X10)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( relation(esk11_2(X9,X10))
| ~ element(X14,powerset(the_carrier(X9)))
| X14 != esk8_2(X9,X10)
| esk9_2(X9,X10) = subset_complement(the_carrier(X9),X14)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( function(esk11_2(X9,X10))
| ~ element(X14,powerset(the_carrier(X9)))
| X14 != esk8_2(X9,X10)
| esk9_2(X9,X10) = subset_complement(the_carrier(X9),X14)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( in(X17,X10)
| ~ in(ordered_pair(X17,X18),esk11_2(X9,X10))
| ~ element(X14,powerset(the_carrier(X9)))
| X14 != esk8_2(X9,X10)
| esk9_2(X9,X10) = subset_complement(the_carrier(X9),X14)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( ~ element(X19,powerset(the_carrier(X9)))
| X19 != X17
| X18 = subset_complement(the_carrier(X9),X19)
| ~ in(ordered_pair(X17,X18),esk11_2(X9,X10))
| ~ element(X14,powerset(the_carrier(X9)))
| X14 != esk8_2(X9,X10)
| esk9_2(X9,X10) = subset_complement(the_carrier(X9),X14)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( element(esk12_4(X9,X10,X17,X18),powerset(the_carrier(X9)))
| ~ in(X17,X10)
| in(ordered_pair(X17,X18),esk11_2(X9,X10))
| ~ element(X14,powerset(the_carrier(X9)))
| X14 != esk8_2(X9,X10)
| esk9_2(X9,X10) = subset_complement(the_carrier(X9),X14)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( esk12_4(X9,X10,X17,X18) = X17
| ~ in(X17,X10)
| in(ordered_pair(X17,X18),esk11_2(X9,X10))
| ~ element(X14,powerset(the_carrier(X9)))
| X14 != esk8_2(X9,X10)
| esk9_2(X9,X10) = subset_complement(the_carrier(X9),X14)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( X18 != subset_complement(the_carrier(X9),esk12_4(X9,X10,X17,X18))
| ~ in(X17,X10)
| in(ordered_pair(X17,X18),esk11_2(X9,X10))
| ~ element(X14,powerset(the_carrier(X9)))
| X14 != esk8_2(X9,X10)
| esk9_2(X9,X10) = subset_complement(the_carrier(X9),X14)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( relation(esk11_2(X9,X10))
| in(esk8_2(X9,X10),X10)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( function(esk11_2(X9,X10))
| in(esk8_2(X9,X10),X10)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( in(X17,X10)
| ~ in(ordered_pair(X17,X18),esk11_2(X9,X10))
| in(esk8_2(X9,X10),X10)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( ~ element(X19,powerset(the_carrier(X9)))
| X19 != X17
| X18 = subset_complement(the_carrier(X9),X19)
| ~ in(ordered_pair(X17,X18),esk11_2(X9,X10))
| in(esk8_2(X9,X10),X10)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( element(esk12_4(X9,X10,X17,X18),powerset(the_carrier(X9)))
| ~ in(X17,X10)
| in(ordered_pair(X17,X18),esk11_2(X9,X10))
| in(esk8_2(X9,X10),X10)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( esk12_4(X9,X10,X17,X18) = X17
| ~ in(X17,X10)
| in(ordered_pair(X17,X18),esk11_2(X9,X10))
| in(esk8_2(X9,X10),X10)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( X18 != subset_complement(the_carrier(X9),esk12_4(X9,X10,X17,X18))
| ~ in(X17,X10)
| in(ordered_pair(X17,X18),esk11_2(X9,X10))
| in(esk8_2(X9,X10),X10)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( relation(esk11_2(X9,X10))
| ~ element(X15,powerset(the_carrier(X9)))
| X15 != esk8_2(X9,X10)
| esk10_2(X9,X10) = subset_complement(the_carrier(X9),X15)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( function(esk11_2(X9,X10))
| ~ element(X15,powerset(the_carrier(X9)))
| X15 != esk8_2(X9,X10)
| esk10_2(X9,X10) = subset_complement(the_carrier(X9),X15)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( in(X17,X10)
| ~ in(ordered_pair(X17,X18),esk11_2(X9,X10))
| ~ element(X15,powerset(the_carrier(X9)))
| X15 != esk8_2(X9,X10)
| esk10_2(X9,X10) = subset_complement(the_carrier(X9),X15)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( ~ element(X19,powerset(the_carrier(X9)))
| X19 != X17
| X18 = subset_complement(the_carrier(X9),X19)
| ~ in(ordered_pair(X17,X18),esk11_2(X9,X10))
| ~ element(X15,powerset(the_carrier(X9)))
| X15 != esk8_2(X9,X10)
| esk10_2(X9,X10) = subset_complement(the_carrier(X9),X15)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( element(esk12_4(X9,X10,X17,X18),powerset(the_carrier(X9)))
| ~ in(X17,X10)
| in(ordered_pair(X17,X18),esk11_2(X9,X10))
| ~ element(X15,powerset(the_carrier(X9)))
| X15 != esk8_2(X9,X10)
| esk10_2(X9,X10) = subset_complement(the_carrier(X9),X15)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( esk12_4(X9,X10,X17,X18) = X17
| ~ in(X17,X10)
| in(ordered_pair(X17,X18),esk11_2(X9,X10))
| ~ element(X15,powerset(the_carrier(X9)))
| X15 != esk8_2(X9,X10)
| esk10_2(X9,X10) = subset_complement(the_carrier(X9),X15)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( X18 != subset_complement(the_carrier(X9),esk12_4(X9,X10,X17,X18))
| ~ in(X17,X10)
| in(ordered_pair(X17,X18),esk11_2(X9,X10))
| ~ element(X15,powerset(the_carrier(X9)))
| X15 != esk8_2(X9,X10)
| esk10_2(X9,X10) = subset_complement(the_carrier(X9),X15)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( relation(esk11_2(X9,X10))
| esk9_2(X9,X10) != esk10_2(X9,X10)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( function(esk11_2(X9,X10))
| esk9_2(X9,X10) != esk10_2(X9,X10)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( in(X17,X10)
| ~ in(ordered_pair(X17,X18),esk11_2(X9,X10))
| esk9_2(X9,X10) != esk10_2(X9,X10)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( ~ element(X19,powerset(the_carrier(X9)))
| X19 != X17
| X18 = subset_complement(the_carrier(X9),X19)
| ~ in(ordered_pair(X17,X18),esk11_2(X9,X10))
| esk9_2(X9,X10) != esk10_2(X9,X10)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( element(esk12_4(X9,X10,X17,X18),powerset(the_carrier(X9)))
| ~ in(X17,X10)
| in(ordered_pair(X17,X18),esk11_2(X9,X10))
| esk9_2(X9,X10) != esk10_2(X9,X10)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( esk12_4(X9,X10,X17,X18) = X17
| ~ in(X17,X10)
| in(ordered_pair(X17,X18),esk11_2(X9,X10))
| esk9_2(X9,X10) != esk10_2(X9,X10)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) )
& ( X18 != subset_complement(the_carrier(X9),esk12_4(X9,X10,X17,X18))
| ~ in(X17,X10)
| in(ordered_pair(X17,X18),esk11_2(X9,X10))
| esk9_2(X9,X10) != esk10_2(X9,X10)
| ~ one_sorted_str(X9)
| ~ element(X10,powerset(powerset(the_carrier(X9)))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[s1_funct_1__e4_7_2__tops_2__1])])])])])])])]) ).
fof(c_0_13,negated_conjecture,
! [X12,X13,X14,X17,X19,X20] :
( one_sorted_str(esk1_0)
& element(esk2_0,powerset(powerset(the_carrier(esk1_0))))
& ( element(esk4_3(X12,X13,X14),powerset(the_carrier(esk1_0)))
| element(esk3_3(X12,X13,X14),powerset(the_carrier(esk1_0)))
| ~ in(X12,esk2_0)
| X13 = X14 )
& ( esk4_3(X12,X13,X14) = X12
| element(esk3_3(X12,X13,X14),powerset(the_carrier(esk1_0)))
| ~ in(X12,esk2_0)
| X13 = X14 )
& ( X14 != subset_complement(the_carrier(esk1_0),esk4_3(X12,X13,X14))
| element(esk3_3(X12,X13,X14),powerset(the_carrier(esk1_0)))
| ~ in(X12,esk2_0)
| X13 = X14 )
& ( element(esk4_3(X12,X13,X14),powerset(the_carrier(esk1_0)))
| esk3_3(X12,X13,X14) = X12
| ~ in(X12,esk2_0)
| X13 = X14 )
& ( esk4_3(X12,X13,X14) = X12
| esk3_3(X12,X13,X14) = X12
| ~ in(X12,esk2_0)
| X13 = X14 )
& ( X14 != subset_complement(the_carrier(esk1_0),esk4_3(X12,X13,X14))
| esk3_3(X12,X13,X14) = X12
| ~ in(X12,esk2_0)
| X13 = X14 )
& ( element(esk4_3(X12,X13,X14),powerset(the_carrier(esk1_0)))
| X13 != subset_complement(the_carrier(esk1_0),esk3_3(X12,X13,X14))
| ~ in(X12,esk2_0)
| X13 = X14 )
& ( esk4_3(X12,X13,X14) = X12
| X13 != subset_complement(the_carrier(esk1_0),esk3_3(X12,X13,X14))
| ~ in(X12,esk2_0)
| X13 = X14 )
& ( X14 != subset_complement(the_carrier(esk1_0),esk4_3(X12,X13,X14))
| X13 != subset_complement(the_carrier(esk1_0),esk3_3(X12,X13,X14))
| ~ in(X12,esk2_0)
| X13 = X14 )
& ( ~ in(X17,esk2_0)
| ~ element(X19,powerset(the_carrier(esk1_0)))
| X19 != X17
| esk5_1(X17) = subset_complement(the_carrier(esk1_0),X19) )
& ( in(esk6_1(X20),esk2_0)
| ~ relation(X20)
| ~ function(X20)
| relation_dom(X20) != esk2_0 )
& ( element(esk7_1(X20),powerset(the_carrier(esk1_0)))
| ~ relation(X20)
| ~ function(X20)
| relation_dom(X20) != esk2_0 )
& ( esk7_1(X20) = esk6_1(X20)
| ~ relation(X20)
| ~ function(X20)
| relation_dom(X20) != esk2_0 )
& ( apply(X20,esk6_1(X20)) != subset_complement(the_carrier(esk1_0),esk7_1(X20))
| ~ relation(X20)
| ~ function(X20)
| relation_dom(X20) != esk2_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])])])]) ).
cnf(c_0_14,plain,
( in(ordered_pair(X3,esk17_3(X1,X2,X3)),X1)
| ~ relation(X1)
| X2 != relation_dom(X1)
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( X1 = X2
| in(esk16_2(X1,X2),X2)
| in(esk16_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
( in(esk8_2(X2,X1),X1)
| in(ordered_pair(X3,X4),esk11_2(X2,X1))
| esk12_4(X2,X1,X3,X4) = X3
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,negated_conjecture,
element(esk2_0,powerset(powerset(the_carrier(esk1_0)))),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,negated_conjecture,
one_sorted_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
( X1 = X2
| in(ordered_pair(esk16_2(X1,X2),esk17_3(X3,X2,esk16_2(X1,X2))),X3)
| in(esk16_2(X1,X2),X1)
| X2 != relation_dom(X3)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
( in(esk8_2(X2,X1),X1)
| relation(esk11_2(X2,X1))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_21,negated_conjecture,
( esk12_4(esk1_0,esk2_0,X1,X2) = X1
| in(ordered_pair(X1,X2),esk11_2(esk1_0,esk2_0))
| in(esk8_2(esk1_0,esk2_0),esk2_0)
| ~ in(X1,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_22,plain,
( X1 = relation_dom(X2)
| in(ordered_pair(esk16_2(X1,relation_dom(X2)),esk17_3(X2,relation_dom(X2),esk16_2(X1,relation_dom(X2)))),X2)
| in(esk16_2(X1,relation_dom(X2)),X1)
| ~ relation(X2) ),
inference(er,[status(thm)],[c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( relation(esk11_2(esk1_0,esk2_0))
| in(esk8_2(esk1_0,esk2_0),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_17]),c_0_18])]) ).
cnf(c_0_24,plain,
( in(esk8_2(X2,X1),X1)
| in(ordered_pair(X3,X4),esk11_2(X2,X1))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| ~ in(X3,X1)
| X4 != subset_complement(the_carrier(X2),esk12_4(X2,X1,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_25,negated_conjecture,
( esk12_4(esk1_0,esk2_0,esk16_2(esk2_0,X1),X2) = esk16_2(esk2_0,X1)
| esk2_0 = X1
| in(ordered_pair(esk16_2(esk2_0,X1),X2),esk11_2(esk1_0,esk2_0))
| in(esk8_2(esk1_0,esk2_0),esk2_0)
| in(esk16_2(esk2_0,X1),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_15]) ).
cnf(c_0_26,plain,
( in(esk8_2(X2,X1),X1)
| in(X3,X1)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| ~ in(ordered_pair(X3,X4),esk11_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_27,negated_conjecture,
( X1 = relation_dom(esk11_2(esk1_0,esk2_0))
| in(ordered_pair(esk16_2(X1,relation_dom(esk11_2(esk1_0,esk2_0))),esk17_3(esk11_2(esk1_0,esk2_0),relation_dom(esk11_2(esk1_0,esk2_0)),esk16_2(X1,relation_dom(esk11_2(esk1_0,esk2_0))))),esk11_2(esk1_0,esk2_0))
| in(esk16_2(X1,relation_dom(esk11_2(esk1_0,esk2_0))),X1)
| in(esk8_2(esk1_0,esk2_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
( esk2_0 = X1
| in(ordered_pair(esk16_2(esk2_0,X1),X2),esk11_2(esk1_0,esk2_0))
| in(esk8_2(esk1_0,esk2_0),esk2_0)
| in(esk16_2(esk2_0,X1),X1)
| subset_complement(the_carrier(esk1_0),esk16_2(esk2_0,X1)) != X2
| ~ in(esk16_2(esk2_0,X1),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_17]),c_0_18])]) ).
cnf(c_0_29,negated_conjecture,
( X1 = relation_dom(esk11_2(esk1_0,esk2_0))
| in(esk16_2(X1,relation_dom(esk11_2(esk1_0,esk2_0))),esk2_0)
| in(esk16_2(X1,relation_dom(esk11_2(esk1_0,esk2_0))),X1)
| in(esk8_2(esk1_0,esk2_0),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_17]),c_0_18])]) ).
cnf(c_0_30,negated_conjecture,
( esk2_0 = X1
| in(ordered_pair(esk16_2(esk2_0,X1),subset_complement(the_carrier(esk1_0),esk16_2(esk2_0,X1))),esk11_2(esk1_0,esk2_0))
| in(esk8_2(esk1_0,esk2_0),esk2_0)
| in(esk16_2(esk2_0,X1),X1)
| ~ in(esk16_2(esk2_0,X1),esk2_0) ),
inference(er,[status(thm)],[c_0_28]) ).
cnf(c_0_31,negated_conjecture,
( relation_dom(esk11_2(esk1_0,esk2_0)) = esk2_0
| in(esk16_2(esk2_0,relation_dom(esk11_2(esk1_0,esk2_0))),esk2_0)
| in(esk8_2(esk1_0,esk2_0),esk2_0) ),
inference(ef,[status(thm)],[c_0_29]) ).
cnf(c_0_32,plain,
( in(X3,X2)
| ~ relation(X1)
| X2 != relation_dom(X1)
| ~ in(ordered_pair(X3,X4),X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_33,negated_conjecture,
( relation_dom(esk11_2(esk1_0,esk2_0)) = esk2_0
| in(ordered_pair(esk16_2(esk2_0,relation_dom(esk11_2(esk1_0,esk2_0))),subset_complement(the_carrier(esk1_0),esk16_2(esk2_0,relation_dom(esk11_2(esk1_0,esk2_0))))),esk11_2(esk1_0,esk2_0))
| in(esk16_2(esk2_0,relation_dom(esk11_2(esk1_0,esk2_0))),relation_dom(esk11_2(esk1_0,esk2_0)))
| in(esk8_2(esk1_0,esk2_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,negated_conjecture,
( relation_dom(esk11_2(esk1_0,esk2_0)) = esk2_0
| in(esk16_2(esk2_0,relation_dom(esk11_2(esk1_0,esk2_0))),relation_dom(esk11_2(esk1_0,esk2_0)))
| in(esk16_2(esk2_0,relation_dom(esk11_2(esk1_0,esk2_0))),X1)
| in(esk8_2(esk1_0,esk2_0),esk2_0)
| X1 != relation_dom(esk11_2(esk1_0,esk2_0))
| ~ relation(esk11_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_35,negated_conjecture,
( relation_dom(esk11_2(esk1_0,esk2_0)) = esk2_0
| in(esk16_2(esk2_0,relation_dom(esk11_2(esk1_0,esk2_0))),relation_dom(esk11_2(esk1_0,esk2_0)))
| in(esk16_2(esk2_0,relation_dom(esk11_2(esk1_0,esk2_0))),X1)
| in(esk8_2(esk1_0,esk2_0),esk2_0)
| X1 != relation_dom(esk11_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_34,c_0_23]) ).
cnf(c_0_36,plain,
( X1 = X2
| ~ in(esk16_2(X1,X2),X2)
| ~ in(esk16_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_37,negated_conjecture,
( relation_dom(esk11_2(esk1_0,esk2_0)) = esk2_0
| in(esk16_2(esk2_0,relation_dom(esk11_2(esk1_0,esk2_0))),relation_dom(esk11_2(esk1_0,esk2_0)))
| in(esk8_2(esk1_0,esk2_0),esk2_0) ),
inference(er,[status(thm)],[c_0_35]) ).
cnf(c_0_38,negated_conjecture,
( relation_dom(esk11_2(esk1_0,esk2_0)) = esk2_0
| in(esk8_2(esk1_0,esk2_0),esk2_0)
| ~ in(esk16_2(esk2_0,relation_dom(esk11_2(esk1_0,esk2_0))),esk2_0) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
fof(c_0_39,plain,
! [X4,X5,X6,X6,X5,X6,X6] :
( ( X6 != apply(X4,X5)
| in(ordered_pair(X5,X6),X4)
| ~ in(X5,relation_dom(X4))
| ~ relation(X4)
| ~ function(X4) )
& ( ~ in(ordered_pair(X5,X6),X4)
| X6 = apply(X4,X5)
| ~ in(X5,relation_dom(X4))
| ~ relation(X4)
| ~ function(X4) )
& ( X6 != apply(X4,X5)
| X6 = empty_set
| in(X5,relation_dom(X4))
| ~ relation(X4)
| ~ function(X4) )
& ( X6 != empty_set
| X6 = apply(X4,X5)
| in(X5,relation_dom(X4))
| ~ relation(X4)
| ~ function(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d4_funct_1])])])])])])]) ).
cnf(c_0_40,negated_conjecture,
( esk7_1(X1) = esk6_1(X1)
| relation_dom(X1) != esk2_0
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_41,negated_conjecture,
( relation_dom(esk11_2(esk1_0,esk2_0)) = esk2_0
| in(esk8_2(esk1_0,esk2_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_31]) ).
cnf(c_0_42,plain,
( in(esk8_2(X2,X1),X1)
| function(esk11_2(X2,X1))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_43,plain,
( in(ordered_pair(X2,X3),X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,relation_dom(X1))
| X3 != apply(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_44,negated_conjecture,
( in(esk6_1(X1),esk2_0)
| relation_dom(X1) != esk2_0
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_45,negated_conjecture,
( esk6_1(esk11_2(esk1_0,esk2_0)) = esk7_1(esk11_2(esk1_0,esk2_0))
| in(esk8_2(esk1_0,esk2_0),esk2_0)
| ~ function(esk11_2(esk1_0,esk2_0))
| ~ relation(esk11_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,negated_conjecture,
( function(esk11_2(esk1_0,esk2_0))
| in(esk8_2(esk1_0,esk2_0),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_17]),c_0_18])]) ).
cnf(c_0_47,negated_conjecture,
( in(ordered_pair(X1,X2),esk11_2(esk1_0,esk2_0))
| in(esk8_2(esk1_0,esk2_0),esk2_0)
| X2 != apply(esk11_2(esk1_0,esk2_0),X1)
| ~ function(esk11_2(esk1_0,esk2_0))
| ~ relation(esk11_2(esk1_0,esk2_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_41]) ).
cnf(c_0_48,negated_conjecture,
( in(esk6_1(esk11_2(esk1_0,esk2_0)),esk2_0)
| in(esk8_2(esk1_0,esk2_0),esk2_0)
| ~ function(esk11_2(esk1_0,esk2_0))
| ~ relation(esk11_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_44,c_0_41]) ).
cnf(c_0_49,negated_conjecture,
( esk6_1(esk11_2(esk1_0,esk2_0)) = esk7_1(esk11_2(esk1_0,esk2_0))
| in(esk8_2(esk1_0,esk2_0),esk2_0)
| ~ relation(esk11_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_50,negated_conjecture,
( in(ordered_pair(X1,X2),esk11_2(esk1_0,esk2_0))
| in(esk8_2(esk1_0,esk2_0),esk2_0)
| X2 != apply(esk11_2(esk1_0,esk2_0),X1)
| ~ relation(esk11_2(esk1_0,esk2_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_46]) ).
cnf(c_0_51,negated_conjecture,
( in(esk6_1(esk11_2(esk1_0,esk2_0)),esk2_0)
| in(esk8_2(esk1_0,esk2_0),esk2_0)
| ~ relation(esk11_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_48,c_0_46]) ).
cnf(c_0_52,negated_conjecture,
( relation_dom(X1) != esk2_0
| ~ function(X1)
| ~ relation(X1)
| apply(X1,esk6_1(X1)) != subset_complement(the_carrier(esk1_0),esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_53,negated_conjecture,
( esk6_1(esk11_2(esk1_0,esk2_0)) = esk7_1(esk11_2(esk1_0,esk2_0))
| in(esk8_2(esk1_0,esk2_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_23]) ).
cnf(c_0_54,negated_conjecture,
( in(ordered_pair(X1,X2),esk11_2(esk1_0,esk2_0))
| in(esk8_2(esk1_0,esk2_0),esk2_0)
| X2 != apply(esk11_2(esk1_0,esk2_0),X1)
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_23]) ).
cnf(c_0_55,negated_conjecture,
( in(esk6_1(esk11_2(esk1_0,esk2_0)),esk2_0)
| in(esk8_2(esk1_0,esk2_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_51,c_0_23]) ).
cnf(c_0_56,negated_conjecture,
( element(esk7_1(X1),powerset(the_carrier(esk1_0)))
| relation_dom(X1) != esk2_0
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_57,negated_conjecture,
( in(esk8_2(esk1_0,esk2_0),esk2_0)
| apply(esk11_2(esk1_0,esk2_0),esk7_1(esk11_2(esk1_0,esk2_0))) != subset_complement(the_carrier(esk1_0),esk7_1(esk11_2(esk1_0,esk2_0)))
| relation_dom(esk11_2(esk1_0,esk2_0)) != esk2_0
| ~ function(esk11_2(esk1_0,esk2_0))
| ~ relation(esk11_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,plain,
( in(esk8_2(X2,X1),X1)
| X4 = subset_complement(the_carrier(X2),X5)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| ~ in(ordered_pair(X3,X4),esk11_2(X2,X1))
| X5 != X3
| ~ element(X5,powerset(the_carrier(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_59,negated_conjecture,
( in(ordered_pair(X1,apply(esk11_2(esk1_0,esk2_0),X1)),esk11_2(esk1_0,esk2_0))
| in(esk8_2(esk1_0,esk2_0),esk2_0)
| ~ in(X1,esk2_0) ),
inference(er,[status(thm)],[c_0_54]) ).
cnf(c_0_60,negated_conjecture,
( in(esk7_1(esk11_2(esk1_0,esk2_0)),esk2_0)
| in(esk8_2(esk1_0,esk2_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_53]) ).
cnf(c_0_61,negated_conjecture,
( in(esk8_2(esk1_0,esk2_0),esk2_0)
| element(esk7_1(esk11_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0)))
| ~ function(esk11_2(esk1_0,esk2_0))
| ~ relation(esk11_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_56,c_0_41]) ).
cnf(c_0_62,negated_conjecture,
( in(esk8_2(esk1_0,esk2_0),esk2_0)
| apply(esk11_2(esk1_0,esk2_0),esk7_1(esk11_2(esk1_0,esk2_0))) != subset_complement(the_carrier(esk1_0),esk7_1(esk11_2(esk1_0,esk2_0)))
| ~ function(esk11_2(esk1_0,esk2_0))
| ~ relation(esk11_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_57,c_0_41]) ).
cnf(c_0_63,plain,
( X1 = subset_complement(the_carrier(X2),X3)
| in(esk8_2(X2,X4),X4)
| ~ in(ordered_pair(X3,X1),esk11_2(X2,X4))
| ~ element(X4,powerset(powerset(the_carrier(X2))))
| ~ element(X3,powerset(the_carrier(X2)))
| ~ one_sorted_str(X2) ),
inference(er,[status(thm)],[c_0_58]) ).
cnf(c_0_64,negated_conjecture,
( in(ordered_pair(esk7_1(esk11_2(esk1_0,esk2_0)),apply(esk11_2(esk1_0,esk2_0),esk7_1(esk11_2(esk1_0,esk2_0)))),esk11_2(esk1_0,esk2_0))
| in(esk8_2(esk1_0,esk2_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_65,negated_conjecture,
( in(esk8_2(esk1_0,esk2_0),esk2_0)
| element(esk7_1(esk11_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0)))
| ~ relation(esk11_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_61,c_0_46]) ).
cnf(c_0_66,negated_conjecture,
( in(esk8_2(esk1_0,esk2_0),esk2_0)
| apply(esk11_2(esk1_0,esk2_0),esk7_1(esk11_2(esk1_0,esk2_0))) != subset_complement(the_carrier(esk1_0),esk7_1(esk11_2(esk1_0,esk2_0)))
| ~ relation(esk11_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_62,c_0_46]) ).
cnf(c_0_67,negated_conjecture,
( apply(esk11_2(esk1_0,esk2_0),esk7_1(esk11_2(esk1_0,esk2_0))) = subset_complement(the_carrier(esk1_0),esk7_1(esk11_2(esk1_0,esk2_0)))
| in(esk8_2(esk1_0,esk2_0),esk2_0)
| ~ element(esk7_1(esk11_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_17]),c_0_18])]) ).
cnf(c_0_68,negated_conjecture,
( in(esk8_2(esk1_0,esk2_0),esk2_0)
| element(esk7_1(esk11_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_65,c_0_23]) ).
cnf(c_0_69,negated_conjecture,
( in(esk8_2(esk1_0,esk2_0),esk2_0)
| apply(esk11_2(esk1_0,esk2_0),esk7_1(esk11_2(esk1_0,esk2_0))) != subset_complement(the_carrier(esk1_0),esk7_1(esk11_2(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_66,c_0_23]) ).
cnf(c_0_70,negated_conjecture,
( apply(esk11_2(esk1_0,esk2_0),esk7_1(esk11_2(esk1_0,esk2_0))) = subset_complement(the_carrier(esk1_0),esk7_1(esk11_2(esk1_0,esk2_0)))
| in(esk8_2(esk1_0,esk2_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
fof(c_0_71,plain,
! [X3,X4] :
( ~ element(X3,X4)
| empty(X4)
| in(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_72,negated_conjecture,
( X1 = X2
| element(esk3_3(X3,X1,X2),powerset(the_carrier(esk1_0)))
| element(esk4_3(X3,X1,X2),powerset(the_carrier(esk1_0)))
| ~ in(X3,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_73,negated_conjecture,
in(esk8_2(esk1_0,esk2_0),esk2_0),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
fof(c_0_74,plain,
! [X2] : ~ empty(powerset(X2)),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_subset_1])]) ).
cnf(c_0_75,plain,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_76,negated_conjecture,
( X1 = X2
| element(esk3_3(esk8_2(esk1_0,esk2_0),X1,X2),powerset(the_carrier(esk1_0)))
| element(esk4_3(esk8_2(esk1_0,esk2_0),X1,X2),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_77,plain,
~ empty(powerset(X1)),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_78,negated_conjecture,
( X1 = X2
| element(esk3_3(X3,X1,X2),powerset(the_carrier(esk1_0)))
| esk4_3(X3,X1,X2) = X3
| ~ in(X3,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_79,negated_conjecture,
( X1 = X2
| esk3_3(X3,X1,X2) = X3
| element(esk4_3(X3,X1,X2),powerset(the_carrier(esk1_0)))
| ~ in(X3,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_80,negated_conjecture,
( X1 = X2
| in(esk4_3(esk8_2(esk1_0,esk2_0),X1,X2),powerset(the_carrier(esk1_0)))
| element(esk3_3(esk8_2(esk1_0,esk2_0),X1,X2),powerset(the_carrier(esk1_0))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).
cnf(c_0_81,negated_conjecture,
( esk4_3(esk8_2(esk1_0,esk2_0),X1,X2) = esk8_2(esk1_0,esk2_0)
| X1 = X2
| element(esk3_3(esk8_2(esk1_0,esk2_0),X1,X2),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_78,c_0_73]) ).
cnf(c_0_82,negated_conjecture,
( esk3_3(esk8_2(esk1_0,esk2_0),X1,X2) = esk8_2(esk1_0,esk2_0)
| X1 = X2
| element(esk4_3(esk8_2(esk1_0,esk2_0),X1,X2),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_79,c_0_73]) ).
cnf(c_0_83,negated_conjecture,
( X1 = X2
| esk3_3(X3,X1,X2) = X3
| esk4_3(X3,X1,X2) = X3
| ~ in(X3,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_84,negated_conjecture,
( X1 = X2
| in(esk8_2(esk1_0,esk2_0),powerset(the_carrier(esk1_0)))
| element(esk3_3(esk8_2(esk1_0,esk2_0),X1,X2),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_85,negated_conjecture,
( esk3_3(esk8_2(esk1_0,esk2_0),X1,X2) = esk8_2(esk1_0,esk2_0)
| X1 = X2
| in(esk4_3(esk8_2(esk1_0,esk2_0),X1,X2),powerset(the_carrier(esk1_0))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_82]),c_0_77]) ).
cnf(c_0_86,negated_conjecture,
( esk3_3(esk8_2(esk1_0,esk2_0),X1,X2) = esk8_2(esk1_0,esk2_0)
| esk4_3(esk8_2(esk1_0,esk2_0),X1,X2) = esk8_2(esk1_0,esk2_0)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_83,c_0_73]) ).
fof(c_0_87,plain,
! [X3] : element(esk13_1(X3),X3),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
cnf(c_0_88,negated_conjecture,
( X1 = X2
| in(esk3_3(esk8_2(esk1_0,esk2_0),X1,X2),powerset(the_carrier(esk1_0)))
| in(esk8_2(esk1_0,esk2_0),powerset(the_carrier(esk1_0))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_84]),c_0_77]) ).
cnf(c_0_89,negated_conjecture,
( esk3_3(esk8_2(esk1_0,esk2_0),X1,X2) = esk8_2(esk1_0,esk2_0)
| X1 = X2
| in(esk8_2(esk1_0,esk2_0),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
fof(c_0_90,plain,
! [X3,X4] :
( ~ in(X3,X4)
| element(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_91,plain,
element(esk13_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_92,negated_conjecture,
( X1 = X2
| in(esk8_2(esk1_0,esk2_0),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_93,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_94,negated_conjecture,
( in(esk8_2(esk1_0,esk2_0),powerset(the_carrier(esk1_0)))
| element(X1,X2) ),
inference(pm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_95,plain,
( esk9_2(X2,X1) = subset_complement(the_carrier(X2),X3)
| in(ordered_pair(X4,X5),esk11_2(X2,X1))
| esk12_4(X2,X1,X4,X5) = X4
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| X3 != esk8_2(X2,X1)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ in(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_96,negated_conjecture,
( element(esk8_2(esk1_0,esk2_0),powerset(the_carrier(esk1_0)))
| element(X1,X2) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_97,plain,
( esk9_2(X2,X1) = subset_complement(the_carrier(X2),X3)
| function(esk11_2(X2,X1))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| X3 != esk8_2(X2,X1)
| ~ element(X3,powerset(the_carrier(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_98,plain,
( esk9_2(X2,X1) = subset_complement(the_carrier(X2),X3)
| relation(esk11_2(X2,X1))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| X3 != esk8_2(X2,X1)
| ~ element(X3,powerset(the_carrier(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_99,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),X1)
| esk12_4(esk1_0,esk2_0,X2,X3) = X2
| in(ordered_pair(X2,X3),esk11_2(esk1_0,esk2_0))
| X1 != esk8_2(esk1_0,esk2_0)
| ~ in(X2,esk2_0)
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_17]),c_0_18])]) ).
cnf(c_0_100,negated_conjecture,
element(esk8_2(esk1_0,esk2_0),powerset(the_carrier(esk1_0))),
inference(ef,[status(thm)],[c_0_96]) ).
cnf(c_0_101,plain,
( esk10_2(X2,X1) = subset_complement(the_carrier(X2),X3)
| in(ordered_pair(X4,X5),esk11_2(X2,X1))
| esk12_4(X2,X1,X4,X5) = X4
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| X3 != esk8_2(X2,X1)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ in(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_102,plain,
( function(esk11_2(X2,X1))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| esk9_2(X2,X1) != esk10_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_103,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),X1)
| function(esk11_2(esk1_0,esk2_0))
| X1 != esk8_2(esk1_0,esk2_0)
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_17]),c_0_18])]) ).
cnf(c_0_104,plain,
( esk10_2(X2,X1) = subset_complement(the_carrier(X2),X3)
| function(esk11_2(X2,X1))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| X3 != esk8_2(X2,X1)
| ~ element(X3,powerset(the_carrier(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_105,plain,
( relation(esk11_2(X2,X1))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| esk9_2(X2,X1) != esk10_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_106,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),X1)
| relation(esk11_2(esk1_0,esk2_0))
| X1 != esk8_2(esk1_0,esk2_0)
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_17]),c_0_18])]) ).
cnf(c_0_107,plain,
( esk10_2(X2,X1) = subset_complement(the_carrier(X2),X3)
| relation(esk11_2(X2,X1))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| X3 != esk8_2(X2,X1)
| ~ element(X3,powerset(the_carrier(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_108,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| esk12_4(esk1_0,esk2_0,X1,X2) = X1
| in(ordered_pair(X1,X2),esk11_2(esk1_0,esk2_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_109,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),X1)
| esk12_4(esk1_0,esk2_0,X2,X3) = X2
| in(ordered_pair(X2,X3),esk11_2(esk1_0,esk2_0))
| X1 != esk8_2(esk1_0,esk2_0)
| ~ in(X2,esk2_0)
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_17]),c_0_18])]) ).
cnf(c_0_110,negated_conjecture,
( function(esk11_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_17]),c_0_18])]) ).
cnf(c_0_111,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| function(esk11_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_103,c_0_100]) ).
cnf(c_0_112,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),X1)
| function(esk11_2(esk1_0,esk2_0))
| X1 != esk8_2(esk1_0,esk2_0)
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_17]),c_0_18])]) ).
cnf(c_0_113,negated_conjecture,
( relation(esk11_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_17]),c_0_18])]) ).
cnf(c_0_114,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| relation(esk11_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_106,c_0_100]) ).
cnf(c_0_115,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),X1)
| relation(esk11_2(esk1_0,esk2_0))
| X1 != esk8_2(esk1_0,esk2_0)
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_17]),c_0_18])]) ).
cnf(c_0_116,plain,
( esk9_2(X2,X1) = subset_complement(the_carrier(X2),X3)
| in(ordered_pair(X4,X5),esk11_2(X2,X1))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| X3 != esk8_2(X2,X1)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ in(X4,X1)
| X5 != subset_complement(the_carrier(X2),esk12_4(X2,X1,X4,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_117,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| esk12_4(esk1_0,esk2_0,esk16_2(X1,esk2_0),X2) = esk16_2(X1,esk2_0)
| X1 = esk2_0
| in(ordered_pair(esk16_2(X1,esk2_0),X2),esk11_2(esk1_0,esk2_0))
| in(esk16_2(X1,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_108,c_0_15]) ).
cnf(c_0_118,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| esk12_4(esk1_0,esk2_0,X1,X2) = X1
| in(ordered_pair(X1,X2),esk11_2(esk1_0,esk2_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_109,c_0_100]) ).
cnf(c_0_119,plain,
( relation_dom(X1) = X2
| in(ordered_pair(esk16_2(relation_dom(X1),X2),X3),X1)
| in(esk16_2(relation_dom(X1),X2),X2)
| X3 != apply(X1,esk16_2(relation_dom(X1),X2))
| ~ function(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_15]) ).
cnf(c_0_120,negated_conjecture,
( function(esk11_2(esk1_0,esk2_0))
| esk10_2(esk1_0,esk2_0) != subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_121,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| function(esk11_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_112,c_0_100]) ).
cnf(c_0_122,negated_conjecture,
( relation(esk11_2(esk1_0,esk2_0))
| esk10_2(esk1_0,esk2_0) != subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_123,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| relation(esk11_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_115,c_0_100]) ).
cnf(c_0_124,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),X1)
| X2 = esk2_0
| in(ordered_pair(esk16_2(X2,esk2_0),X3),esk11_2(esk1_0,esk2_0))
| in(esk16_2(X2,esk2_0),X2)
| subset_complement(the_carrier(esk1_0),esk16_2(X2,esk2_0)) != X3
| X1 != esk8_2(esk1_0,esk2_0)
| ~ in(esk16_2(X2,esk2_0),esk2_0)
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_17]),c_0_18])]) ).
cnf(c_0_125,plain,
( esk10_2(X2,X1) = subset_complement(the_carrier(X2),X3)
| in(ordered_pair(X4,X5),esk11_2(X2,X1))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| X3 != esk8_2(X2,X1)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ in(X4,X1)
| X5 != subset_complement(the_carrier(X2),esk12_4(X2,X1,X4,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_126,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| esk12_4(esk1_0,esk2_0,esk16_2(X1,esk2_0),X2) = esk16_2(X1,esk2_0)
| X1 = esk2_0
| in(ordered_pair(esk16_2(X1,esk2_0),X2),esk11_2(esk1_0,esk2_0))
| in(esk16_2(X1,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_118,c_0_15]) ).
cnf(c_0_127,plain,
( relation_dom(X1) = X2
| in(ordered_pair(esk16_2(relation_dom(X1),X2),apply(X1,esk16_2(relation_dom(X1),X2))),X1)
| in(esk16_2(relation_dom(X1),X2),X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(er,[status(thm)],[c_0_119]) ).
cnf(c_0_128,negated_conjecture,
function(esk11_2(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_129,negated_conjecture,
relation(esk11_2(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_130,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),X1)
| X2 = esk2_0
| in(ordered_pair(esk16_2(X2,esk2_0),subset_complement(the_carrier(esk1_0),esk16_2(X2,esk2_0))),esk11_2(esk1_0,esk2_0))
| in(esk16_2(X2,esk2_0),X2)
| X1 != esk8_2(esk1_0,esk2_0)
| ~ in(esk16_2(X2,esk2_0),esk2_0)
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(er,[status(thm)],[c_0_124]) ).
cnf(c_0_131,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| esk10_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),X1)
| X2 = esk2_0
| in(ordered_pair(esk16_2(X2,esk2_0),X3),esk11_2(esk1_0,esk2_0))
| in(esk16_2(X2,esk2_0),X2)
| subset_complement(the_carrier(esk1_0),esk16_2(X2,esk2_0)) != X3
| X1 != esk8_2(esk1_0,esk2_0)
| ~ in(esk16_2(X2,esk2_0),esk2_0)
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_17]),c_0_18])]) ).
cnf(c_0_132,plain,
( esk9_2(X2,X1) = subset_complement(the_carrier(X2),X3)
| in(X4,X1)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| X3 != esk8_2(X2,X1)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ in(ordered_pair(X4,X5),esk11_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_133,negated_conjecture,
( relation_dom(esk11_2(esk1_0,esk2_0)) = X1
| in(ordered_pair(esk16_2(relation_dom(esk11_2(esk1_0,esk2_0)),X1),apply(esk11_2(esk1_0,esk2_0),esk16_2(relation_dom(esk11_2(esk1_0,esk2_0)),X1))),esk11_2(esk1_0,esk2_0))
| in(esk16_2(relation_dom(esk11_2(esk1_0,esk2_0)),X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129])]) ).
cnf(c_0_134,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),X1)
| X2 = esk2_0
| in(ordered_pair(esk16_2(X2,esk2_0),subset_complement(the_carrier(esk1_0),esk16_2(X2,esk2_0))),esk11_2(esk1_0,esk2_0))
| in(esk16_2(X2,esk2_0),X2)
| X1 != esk8_2(esk1_0,esk2_0)
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_130,c_0_15]) ).
cnf(c_0_135,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| esk10_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),X1)
| X2 = esk2_0
| in(ordered_pair(esk16_2(X2,esk2_0),subset_complement(the_carrier(esk1_0),esk16_2(X2,esk2_0))),esk11_2(esk1_0,esk2_0))
| in(esk16_2(X2,esk2_0),X2)
| X1 != esk8_2(esk1_0,esk2_0)
| ~ in(esk16_2(X2,esk2_0),esk2_0)
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(er,[status(thm)],[c_0_131]) ).
cnf(c_0_136,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),X1)
| relation_dom(esk11_2(esk1_0,esk2_0)) = X2
| in(esk16_2(relation_dom(esk11_2(esk1_0,esk2_0)),X2),esk2_0)
| in(esk16_2(relation_dom(esk11_2(esk1_0,esk2_0)),X2),X2)
| X1 != esk8_2(esk1_0,esk2_0)
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_17]),c_0_18])]) ).
cnf(c_0_137,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| X1 = esk2_0
| in(ordered_pair(esk16_2(X1,esk2_0),subset_complement(the_carrier(esk1_0),esk16_2(X1,esk2_0))),esk11_2(esk1_0,esk2_0))
| in(esk16_2(X1,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_134,c_0_100]) ).
cnf(c_0_138,plain,
( esk10_2(X2,X1) = subset_complement(the_carrier(X2),X3)
| in(X4,X1)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| X3 != esk8_2(X2,X1)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ in(ordered_pair(X4,X5),esk11_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_139,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| esk10_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),X1)
| X2 = esk2_0
| in(ordered_pair(esk16_2(X2,esk2_0),subset_complement(the_carrier(esk1_0),esk16_2(X2,esk2_0))),esk11_2(esk1_0,esk2_0))
| in(esk16_2(X2,esk2_0),X2)
| X1 != esk8_2(esk1_0,esk2_0)
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_135,c_0_15]) ).
cnf(c_0_140,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| relation_dom(esk11_2(esk1_0,esk2_0)) = X1
| in(esk16_2(relation_dom(esk11_2(esk1_0,esk2_0)),X1),esk2_0)
| in(esk16_2(relation_dom(esk11_2(esk1_0,esk2_0)),X1),X1) ),
inference(spm,[status(thm)],[c_0_136,c_0_100]) ).
cnf(c_0_141,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| X1 = esk2_0
| in(esk16_2(X1,esk2_0),X2)
| in(esk16_2(X1,esk2_0),X1)
| X2 != relation_dom(esk11_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_137]),c_0_129])]) ).
cnf(c_0_142,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),X1)
| relation_dom(esk11_2(esk1_0,esk2_0)) = X2
| in(esk16_2(relation_dom(esk11_2(esk1_0,esk2_0)),X2),esk2_0)
| in(esk16_2(relation_dom(esk11_2(esk1_0,esk2_0)),X2),X2)
| X1 != esk8_2(esk1_0,esk2_0)
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_133]),c_0_17]),c_0_18])]) ).
cnf(c_0_143,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| X1 = esk2_0
| in(ordered_pair(esk16_2(X1,esk2_0),subset_complement(the_carrier(esk1_0),esk16_2(X1,esk2_0))),esk11_2(esk1_0,esk2_0))
| in(esk16_2(X1,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_139,c_0_100]) ).
cnf(c_0_144,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| relation_dom(esk11_2(esk1_0,esk2_0)) = esk2_0
| in(esk16_2(relation_dom(esk11_2(esk1_0,esk2_0)),esk2_0),esk2_0) ),
inference(ef,[status(thm)],[c_0_140]) ).
cnf(c_0_145,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| X1 = esk2_0
| in(esk16_2(X1,esk2_0),relation_dom(esk11_2(esk1_0,esk2_0)))
| in(esk16_2(X1,esk2_0),X1) ),
inference(er,[status(thm)],[c_0_141]) ).
cnf(c_0_146,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| relation_dom(esk11_2(esk1_0,esk2_0)) = X1
| in(esk16_2(relation_dom(esk11_2(esk1_0,esk2_0)),X1),esk2_0)
| in(esk16_2(relation_dom(esk11_2(esk1_0,esk2_0)),X1),X1) ),
inference(spm,[status(thm)],[c_0_142,c_0_100]) ).
cnf(c_0_147,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| X1 = esk2_0
| in(esk16_2(X1,esk2_0),X2)
| in(esk16_2(X1,esk2_0),X1)
| X2 != relation_dom(esk11_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_143]),c_0_129])]) ).
cnf(c_0_148,plain,
( in(ordered_pair(X3,X4),esk11_2(X2,X1))
| esk12_4(X2,X1,X3,X4) = X3
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| esk9_2(X2,X1) != esk10_2(X2,X1)
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_149,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| relation_dom(esk11_2(esk1_0,esk2_0)) = esk2_0
| ~ in(esk16_2(relation_dom(esk11_2(esk1_0,esk2_0)),esk2_0),relation_dom(esk11_2(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_36,c_0_144]) ).
cnf(c_0_150,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| relation_dom(esk11_2(esk1_0,esk2_0)) = esk2_0
| in(esk16_2(relation_dom(esk11_2(esk1_0,esk2_0)),esk2_0),relation_dom(esk11_2(esk1_0,esk2_0))) ),
inference(ef,[status(thm)],[c_0_145]) ).
cnf(c_0_151,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| relation_dom(esk11_2(esk1_0,esk2_0)) = esk2_0
| in(esk16_2(relation_dom(esk11_2(esk1_0,esk2_0)),esk2_0),esk2_0) ),
inference(ef,[status(thm)],[c_0_146]) ).
cnf(c_0_152,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| X1 = esk2_0
| in(esk16_2(X1,esk2_0),relation_dom(esk11_2(esk1_0,esk2_0)))
| in(esk16_2(X1,esk2_0),X1) ),
inference(er,[status(thm)],[c_0_147]) ).
cnf(c_0_153,negated_conjecture,
( esk12_4(esk1_0,esk2_0,X1,X2) = X1
| in(ordered_pair(X1,X2),esk11_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0)
| ~ in(X1,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_17]),c_0_18])]) ).
cnf(c_0_154,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| relation_dom(esk11_2(esk1_0,esk2_0)) = esk2_0 ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_155,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| relation_dom(esk11_2(esk1_0,esk2_0)) = esk2_0
| ~ in(esk16_2(relation_dom(esk11_2(esk1_0,esk2_0)),esk2_0),relation_dom(esk11_2(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_36,c_0_151]) ).
cnf(c_0_156,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| relation_dom(esk11_2(esk1_0,esk2_0)) = esk2_0
| in(esk16_2(relation_dom(esk11_2(esk1_0,esk2_0)),esk2_0),relation_dom(esk11_2(esk1_0,esk2_0))) ),
inference(ef,[status(thm)],[c_0_152]) ).
cnf(c_0_157,negated_conjecture,
( relation_dom(esk11_2(esk1_0,esk2_0)) = esk2_0
| esk12_4(esk1_0,esk2_0,X1,X2) = X1
| in(ordered_pair(X1,X2),esk11_2(esk1_0,esk2_0))
| esk10_2(esk1_0,esk2_0) != subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_158,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| relation_dom(esk11_2(esk1_0,esk2_0)) = esk2_0 ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_159,negated_conjecture,
( relation_dom(esk11_2(esk1_0,esk2_0)) = esk2_0
| esk12_4(esk1_0,esk2_0,X1,X2) = X1
| in(ordered_pair(X1,X2),esk11_2(esk1_0,esk2_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_160,plain,
( in(ordered_pair(X3,X4),esk11_2(X2,X1))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| esk9_2(X2,X1) != esk10_2(X2,X1)
| ~ in(X3,X1)
| X4 != subset_complement(the_carrier(X2),esk12_4(X2,X1,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_161,negated_conjecture,
( esk12_4(esk1_0,esk2_0,esk16_2(X1,esk2_0),X2) = esk16_2(X1,esk2_0)
| relation_dom(esk11_2(esk1_0,esk2_0)) = esk2_0
| X1 = esk2_0
| in(ordered_pair(esk16_2(X1,esk2_0),X2),esk11_2(esk1_0,esk2_0))
| in(esk16_2(X1,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_159,c_0_15]) ).
cnf(c_0_162,negated_conjecture,
( relation_dom(esk11_2(esk1_0,esk2_0)) = esk2_0
| X1 = esk2_0
| in(ordered_pair(esk16_2(X1,esk2_0),X2),esk11_2(esk1_0,esk2_0))
| in(esk16_2(X1,esk2_0),X1)
| subset_complement(the_carrier(esk1_0),esk16_2(X1,esk2_0)) != X2
| esk9_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0)
| ~ in(esk16_2(X1,esk2_0),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_17]),c_0_18])]) ).
cnf(c_0_163,negated_conjecture,
( relation_dom(esk11_2(esk1_0,esk2_0)) = esk2_0
| X1 = esk2_0
| in(ordered_pair(esk16_2(X1,esk2_0),X2),esk11_2(esk1_0,esk2_0))
| in(esk16_2(X1,esk2_0),X1)
| esk10_2(esk1_0,esk2_0) != subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| subset_complement(the_carrier(esk1_0),esk16_2(X1,esk2_0)) != X2
| ~ in(esk16_2(X1,esk2_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_162,c_0_154]) ).
cnf(c_0_164,plain,
( in(X3,X1)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| esk9_2(X2,X1) != esk10_2(X2,X1)
| ~ in(ordered_pair(X3,X4),esk11_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_165,negated_conjecture,
( relation_dom(esk11_2(esk1_0,esk2_0)) = esk2_0
| X1 = esk2_0
| in(ordered_pair(esk16_2(X1,esk2_0),X2),esk11_2(esk1_0,esk2_0))
| in(esk16_2(X1,esk2_0),X1)
| subset_complement(the_carrier(esk1_0),esk16_2(X1,esk2_0)) != X2
| ~ in(esk16_2(X1,esk2_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_163,c_0_158]) ).
cnf(c_0_166,negated_conjecture,
( relation_dom(esk11_2(esk1_0,esk2_0)) = X1
| in(esk16_2(relation_dom(esk11_2(esk1_0,esk2_0)),X1),esk2_0)
| in(esk16_2(relation_dom(esk11_2(esk1_0,esk2_0)),X1),X1)
| esk9_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_133]),c_0_17]),c_0_18])]) ).
cnf(c_0_167,negated_conjecture,
( relation_dom(esk11_2(esk1_0,esk2_0)) = esk2_0
| X1 = esk2_0
| in(ordered_pair(esk16_2(X1,esk2_0),subset_complement(the_carrier(esk1_0),esk16_2(X1,esk2_0))),esk11_2(esk1_0,esk2_0))
| in(esk16_2(X1,esk2_0),X1)
| ~ in(esk16_2(X1,esk2_0),esk2_0) ),
inference(er,[status(thm)],[c_0_165]) ).
cnf(c_0_168,negated_conjecture,
( relation_dom(esk11_2(esk1_0,esk2_0)) = esk2_0
| relation_dom(esk11_2(esk1_0,esk2_0)) = X1
| in(esk16_2(relation_dom(esk11_2(esk1_0,esk2_0)),X1),esk2_0)
| in(esk16_2(relation_dom(esk11_2(esk1_0,esk2_0)),X1),X1)
| esk10_2(esk1_0,esk2_0) != subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_166,c_0_154]) ).
cnf(c_0_169,negated_conjecture,
( relation_dom(esk11_2(esk1_0,esk2_0)) = esk2_0
| X1 = esk2_0
| in(ordered_pair(esk16_2(X1,esk2_0),subset_complement(the_carrier(esk1_0),esk16_2(X1,esk2_0))),esk11_2(esk1_0,esk2_0))
| in(esk16_2(X1,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_167,c_0_15]) ).
cnf(c_0_170,negated_conjecture,
( relation_dom(esk11_2(esk1_0,esk2_0)) = esk2_0
| relation_dom(esk11_2(esk1_0,esk2_0)) = X1
| in(esk16_2(relation_dom(esk11_2(esk1_0,esk2_0)),X1),esk2_0)
| in(esk16_2(relation_dom(esk11_2(esk1_0,esk2_0)),X1),X1) ),
inference(spm,[status(thm)],[c_0_168,c_0_158]) ).
cnf(c_0_171,negated_conjecture,
( relation_dom(esk11_2(esk1_0,esk2_0)) = esk2_0
| X1 = esk2_0
| in(esk16_2(X1,esk2_0),X2)
| in(esk16_2(X1,esk2_0),X1)
| X2 != relation_dom(esk11_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_169]),c_0_129])]) ).
cnf(c_0_172,negated_conjecture,
( relation_dom(esk11_2(esk1_0,esk2_0)) = esk2_0
| in(esk16_2(relation_dom(esk11_2(esk1_0,esk2_0)),esk2_0),esk2_0) ),
inference(ef,[status(thm)],[c_0_170]) ).
cnf(c_0_173,negated_conjecture,
( relation_dom(esk11_2(esk1_0,esk2_0)) = esk2_0
| X1 = esk2_0
| in(esk16_2(X1,esk2_0),relation_dom(esk11_2(esk1_0,esk2_0)))
| in(esk16_2(X1,esk2_0),X1) ),
inference(er,[status(thm)],[c_0_171]) ).
cnf(c_0_174,negated_conjecture,
( relation_dom(esk11_2(esk1_0,esk2_0)) = esk2_0
| ~ in(esk16_2(relation_dom(esk11_2(esk1_0,esk2_0)),esk2_0),relation_dom(esk11_2(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_36,c_0_172]) ).
cnf(c_0_175,negated_conjecture,
( relation_dom(esk11_2(esk1_0,esk2_0)) = esk2_0
| in(esk16_2(relation_dom(esk11_2(esk1_0,esk2_0)),esk2_0),relation_dom(esk11_2(esk1_0,esk2_0))) ),
inference(ef,[status(thm)],[c_0_173]) ).
cnf(c_0_176,negated_conjecture,
relation_dom(esk11_2(esk1_0,esk2_0)) = esk2_0,
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_177,negated_conjecture,
( in(ordered_pair(X1,X2),esk11_2(esk1_0,esk2_0))
| X2 != apply(esk11_2(esk1_0,esk2_0),X1)
| ~ in(X1,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_176]),c_0_128]),c_0_129])]) ).
cnf(c_0_178,negated_conjecture,
( in(ordered_pair(X1,apply(esk11_2(esk1_0,esk2_0),X1)),esk11_2(esk1_0,esk2_0))
| ~ in(X1,esk2_0) ),
inference(er,[status(thm)],[c_0_177]) ).
cnf(c_0_179,negated_conjecture,
in(esk6_1(esk11_2(esk1_0,esk2_0)),esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_176]),c_0_128]),c_0_129])]) ).
cnf(c_0_180,plain,
( esk10_2(X2,X1) = subset_complement(the_carrier(X2),X3)
| X5 = subset_complement(the_carrier(X2),X6)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| X3 != esk8_2(X2,X1)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ in(ordered_pair(X4,X5),esk11_2(X2,X1))
| X6 != X4
| ~ element(X6,powerset(the_carrier(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_181,negated_conjecture,
in(ordered_pair(esk6_1(esk11_2(esk1_0,esk2_0)),apply(esk11_2(esk1_0,esk2_0),esk6_1(esk11_2(esk1_0,esk2_0)))),esk11_2(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_182,negated_conjecture,
esk6_1(esk11_2(esk1_0,esk2_0)) = esk7_1(esk11_2(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_176]),c_0_128]),c_0_129])]) ).
cnf(c_0_183,plain,
( esk9_2(X2,X1) = subset_complement(the_carrier(X2),X3)
| X5 = subset_complement(the_carrier(X2),X6)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| X3 != esk8_2(X2,X1)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ in(ordered_pair(X4,X5),esk11_2(X2,X1))
| X6 != X4
| ~ element(X6,powerset(the_carrier(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_184,plain,
( esk10_2(X1,X2) = subset_complement(the_carrier(X1),X3)
| X4 = subset_complement(the_carrier(X1),X5)
| X3 != esk8_2(X1,X2)
| ~ in(ordered_pair(X5,X4),esk11_2(X1,X2))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ element(X5,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[c_0_180]) ).
cnf(c_0_185,negated_conjecture,
in(ordered_pair(esk7_1(esk11_2(esk1_0,esk2_0)),apply(esk11_2(esk1_0,esk2_0),esk7_1(esk11_2(esk1_0,esk2_0)))),esk11_2(esk1_0,esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_182]),c_0_182]) ).
cnf(c_0_186,negated_conjecture,
element(esk7_1(esk11_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_176]),c_0_128]),c_0_129])]) ).
cnf(c_0_187,negated_conjecture,
apply(esk11_2(esk1_0,esk2_0),esk7_1(esk11_2(esk1_0,esk2_0))) != subset_complement(the_carrier(esk1_0),esk7_1(esk11_2(esk1_0,esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_182]),c_0_176]),c_0_128]),c_0_129])]) ).
cnf(c_0_188,plain,
( X4 = subset_complement(the_carrier(X2),X5)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ one_sorted_str(X2)
| esk9_2(X2,X1) != esk10_2(X2,X1)
| ~ in(ordered_pair(X3,X4),esk11_2(X2,X1))
| X5 != X3
| ~ element(X5,powerset(the_carrier(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_189,plain,
( esk9_2(X1,X2) = subset_complement(the_carrier(X1),X3)
| X4 = subset_complement(the_carrier(X1),X5)
| X3 != esk8_2(X1,X2)
| ~ in(ordered_pair(X5,X4),esk11_2(X1,X2))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ element(X5,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[c_0_183]) ).
cnf(c_0_190,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),X1)
| X1 != esk8_2(esk1_0,esk2_0)
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_17]),c_0_186]),c_0_18])]),c_0_187]) ).
cnf(c_0_191,plain,
( X1 = subset_complement(the_carrier(X2),X3)
| esk9_2(X2,X4) != esk10_2(X2,X4)
| ~ in(ordered_pair(X3,X1),esk11_2(X2,X4))
| ~ element(X4,powerset(powerset(the_carrier(X2))))
| ~ element(X3,powerset(the_carrier(X2)))
| ~ one_sorted_str(X2) ),
inference(er,[status(thm)],[c_0_188]) ).
cnf(c_0_192,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),X1)
| X1 != esk8_2(esk1_0,esk2_0)
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_185]),c_0_17]),c_0_186]),c_0_18])]),c_0_187]) ).
cnf(c_0_193,negated_conjecture,
( subset_complement(the_carrier(esk1_0),esk4_3(esk8_2(esk1_0,esk2_0),X1,X2)) = esk10_2(esk1_0,esk2_0)
| X1 = X2
| element(esk3_3(esk8_2(esk1_0,esk2_0),X1,X2),powerset(the_carrier(esk1_0)))
| esk4_3(esk8_2(esk1_0,esk2_0),X1,X2) != esk8_2(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_190,c_0_76]) ).
cnf(c_0_194,negated_conjecture,
esk9_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_185]),c_0_17]),c_0_186]),c_0_18])]),c_0_187]) ).
cnf(c_0_195,negated_conjecture,
esk9_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_192,c_0_100]) ).
cnf(c_0_196,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))
| X1 = X2
| element(esk3_3(esk8_2(esk1_0,esk2_0),X1,X2),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_193,c_0_81]) ).
cnf(c_0_197,negated_conjecture,
esk10_2(esk1_0,esk2_0) != subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0)),
inference(rw,[status(thm)],[c_0_194,c_0_195]) ).
cnf(c_0_198,negated_conjecture,
( X1 = X2
| esk3_3(X3,X1,X2) = X3
| ~ in(X3,esk2_0)
| X2 != subset_complement(the_carrier(esk1_0),esk4_3(X3,X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_199,negated_conjecture,
( X1 = X2
| element(esk3_3(esk8_2(esk1_0,esk2_0),X1,X2),powerset(the_carrier(esk1_0))) ),
inference(sr,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_200,negated_conjecture,
( esk3_3(esk8_2(esk1_0,esk2_0),X1,X2) = esk8_2(esk1_0,esk2_0)
| X1 = X2
| subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0)) != X2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_86]),c_0_73])]) ).
cnf(c_0_201,negated_conjecture,
( subset_complement(the_carrier(esk1_0),esk3_3(esk8_2(esk1_0,esk2_0),X1,X2)) = esk10_2(esk1_0,esk2_0)
| X1 = X2
| esk3_3(esk8_2(esk1_0,esk2_0),X1,X2) != esk8_2(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_190,c_0_199]) ).
cnf(c_0_202,negated_conjecture,
( esk3_3(esk8_2(esk1_0,esk2_0),X1,subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0))) = esk8_2(esk1_0,esk2_0)
| X1 = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0)) ),
inference(er,[status(thm)],[c_0_200]) ).
cnf(c_0_203,negated_conjecture,
X1 = subset_complement(the_carrier(esk1_0),esk8_2(esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_197]) ).
cnf(c_0_204,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_187,c_0_203]),c_0_203])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU334+1 : TPTP v8.1.0. Released v3.3.0.
% 0.13/0.13 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 19 20:41:38 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.34/23.40 eprover: CPU time limit exceeded, terminating
% 0.34/23.40 eprover: CPU time limit exceeded, terminating
% 0.34/23.40 eprover: CPU time limit exceeded, terminating
% 0.34/23.42 eprover: CPU time limit exceeded, terminating
% 0.45/46.42 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.45/46.42
% 0.45/46.42 eprover: CPU time limit exceeded, terminating
% 0.45/46.43 eprover: CPU time limit exceeded, terminating
% 0.57/69.43 eprover: CPU time limit exceeded, terminating
% 0.57/69.43 eprover: CPU time limit exceeded, terminating
% 0.57/69.44 eprover: CPU time limit exceeded, terminating
% 0.57/69.45 eprover: CPU time limit exceeded, terminating
% 0.68/92.45 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.68/92.45
% 0.68/92.45 eprover: CPU time limit exceeded, terminating
% 0.68/92.49 eprover: CPU time limit exceeded, terminating
% 0.80/115.46 eprover: CPU time limit exceeded, terminating
% 0.80/115.47 eprover: CPU time limit exceeded, terminating
% 0.80/115.50 eprover: CPU time limit exceeded, terminating
% 0.80/115.50 eprover: CPU time limit exceeded, terminating
% 0.85/124.01 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.85/124.01
% 0.85/124.01 # Failure: Resource limit exceeded (time)
% 0.85/124.01 # OLD status Res
% 0.85/124.01 # Preprocessing time : 0.021 s
% 0.85/124.01 # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 0.85/124.01
% 0.85/124.01 # Failure: Resource limit exceeded (time)
% 0.85/124.01 # OLD status Res
% 0.85/124.01 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 0.85/124.01 # Preprocessing time : 0.014 s
% 0.85/124.01 # Running protocol protocol_eprover_75515770aeb32f68e33e9fbd9dff93f5a2e34f2e for 23 seconds:
% 0.85/124.01
% 0.85/124.01 # Failure: Resource limit exceeded (time)
% 0.85/124.01 # OLD status Res
% 0.85/124.01 # Preprocessing time : 0.011 s
% 0.85/124.01 # Running protocol protocol_eprover_6c565d2524e660970ec2a72c26d577f665a55420 for 23 seconds:
% 0.85/124.01
% 0.85/124.01 # Failure: Resource limit exceeded (time)
% 0.85/124.01 # OLD status Res
% 0.85/124.01 # Preprocessing time : 0.011 s
% 0.85/124.01 # Running protocol protocol_eprover_750456fc664a9e0b97096ad0f5110b1ead7d782b for 23 seconds:
% 0.85/124.01
% 0.85/124.01 # Failure: Resource limit exceeded (time)
% 0.85/124.01 # OLD status Res
% 0.85/124.01 # Preprocessing time : 0.011 s
% 0.85/124.01 # Running protocol protocol_eprover_a9abcacdf80c460fdc9fe242616d68da2308faf5 for 23 seconds:
% 0.85/124.01 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,02,500,1.0)
% 0.85/124.01 # Preprocessing time : 0.010 s
% 0.85/124.01
% 0.85/124.01 # Proof found!
% 0.85/124.01 # SZS status Theorem
% 0.85/124.01 # SZS output start CNFRefutation
% See solution above
% 0.85/124.01 # Proof object total steps : 205
% 0.85/124.01 # Proof object clause steps : 186
% 0.85/124.01 # Proof object formula steps : 19
% 0.85/124.01 # Proof object conjectures : 148
% 0.85/124.01 # Proof object clause conjectures : 145
% 0.85/124.01 # Proof object formula conjectures : 3
% 0.85/124.01 # Proof object initial clauses used : 44
% 0.85/124.01 # Proof object initial formulas used : 9
% 0.85/124.01 # Proof object generating inferences : 134
% 0.85/124.01 # Proof object simplifying inferences : 107
% 0.85/124.01 # Training examples: 0 positive, 0 negative
% 0.85/124.01 # Parsed axioms : 61
% 0.85/124.01 # Removed by relevancy pruning/SinE : 32
% 0.85/124.01 # Initial clauses : 92
% 0.85/124.01 # Removed in clause preprocessing : 0
% 0.85/124.01 # Initial clauses in saturation : 92
% 0.85/124.01 # Processed clauses : 25471
% 0.85/124.01 # ...of these trivial : 60
% 0.85/124.01 # ...subsumed : 16065
% 0.85/124.01 # ...remaining for further processing : 9346
% 0.85/124.01 # Other redundant clauses eliminated : 1666
% 0.85/124.01 # Clauses deleted for lack of memory : 0
% 0.85/124.01 # Backward-subsumed : 3254
% 0.85/124.01 # Backward-rewritten : 5995
% 0.85/124.01 # Generated clauses : 298692
% 0.85/124.01 # ...of the previous two non-trivial : 295592
% 0.85/124.01 # Contextual simplify-reflections : 0
% 0.85/124.01 # Paramodulations : 296202
% 0.85/124.01 # Factorizations : 224
% 0.85/124.01 # Equation resolutions : 2218
% 0.85/124.01 # Current number of processed clauses : 43
% 0.85/124.01 # Positive orientable unit clauses : 14
% 0.85/124.01 # Positive unorientable unit clauses: 1
% 0.85/124.01 # Negative unit clauses : 9
% 0.85/124.01 # Non-unit-clauses : 19
% 0.85/124.01 # Current number of unprocessed clauses: 783
% 0.85/124.01 # ...number of literals in the above : 4417
% 0.85/124.01 # Current number of archived formulas : 0
% 0.85/124.01 # Current number of archived clauses : 9297
% 0.85/124.01 # Clause-clause subsumption calls (NU) : 1977368
% 0.85/124.01 # Rec. Clause-clause subsumption calls : 127921
% 0.85/124.01 # Non-unit clause-clause subsumptions : 18875
% 0.85/124.01 # Unit Clause-clause subsumption calls : 48079
% 0.85/124.01 # Rewrite failures with RHS unbound : 27
% 0.85/124.01 # BW rewrite match attempts : 3157
% 0.85/124.01 # BW rewrite match successes : 1725
% 0.85/124.01 # Condensation attempts : 0
% 0.85/124.01 # Condensation successes : 0
% 0.85/124.01 # Termbank termtop insertions : 15134294
% 0.85/124.01
% 0.85/124.01 # -------------------------------------------------
% 0.85/124.01 # User time : 7.720 s
% 0.85/124.01 # System time : 0.041 s
% 0.85/124.01 # Total time : 7.761 s
% 0.85/124.01 # Maximum resident set size: 59708 pages
% 0.86/138.48 eprover: CPU time limit exceeded, terminating
% 0.86/138.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.86/138.50 eprover: No such file or directory
% 0.86/138.50 eprover: CPU time limit exceeded, terminating
% 0.86/138.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.86/138.50 eprover: No such file or directory
% 0.86/138.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.86/138.51 eprover: No such file or directory
% 0.86/138.51 eprover: CPU time limit exceeded, terminating
% 0.86/138.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.86/138.52 eprover: No such file or directory
% 0.86/138.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.86/138.52 eprover: No such file or directory
% 0.86/138.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.86/138.52 eprover: No such file or directory
% 0.86/138.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.86/138.52 eprover: No such file or directory
% 0.86/138.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.86/138.52 eprover: No such file or directory
% 0.86/138.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.86/138.53 eprover: No such file or directory
% 0.86/138.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.86/138.53 eprover: No such file or directory
% 0.86/138.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.86/138.53 eprover: No such file or directory
% 0.86/138.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.86/138.53 eprover: No such file or directory
% 0.86/138.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.86/138.53 eprover: No such file or directory
% 0.86/138.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.86/138.53 eprover: No such file or directory
% 0.86/138.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.86/138.54 eprover: No such file or directory
% 0.86/138.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.86/138.54 eprover: No such file or directory
% 0.86/138.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.86/138.54 eprover: No such file or directory
% 0.86/138.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.86/138.55 eprover: No such file or directory
%------------------------------------------------------------------------------