TSTP Solution File: SEU364+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU364+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 : n015.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 16:25:08 EDT 2023
% Result : Theorem 0.80s 0.95s
% Output : CNFRefutation 0.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 39
% Syntax : Number of formulae : 120 ( 10 unt; 37 typ; 0 def)
% Number of atoms : 1235 ( 172 equ)
% Maximal formula atoms : 748 ( 14 avg)
% Number of connectives : 1932 ( 780 ~; 997 |; 143 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 99 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 59 ( 30 >; 29 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 28 ( 28 usr; 7 con; 0-4 aty)
% Number of variables : 205 ( 0 sgn; 33 !; 22 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
empty_carrier: $i > $o ).
tff(decl_23,type,
transitive_relstr: $i > $o ).
tff(decl_24,type,
rel_str: $i > $o ).
tff(decl_25,type,
the_carrier: $i > $i ).
tff(decl_26,type,
powerset: $i > $i ).
tff(decl_27,type,
element: ( $i * $i ) > $o ).
tff(decl_28,type,
finite: $i > $o ).
tff(decl_29,type,
in: ( $i * $i ) > $o ).
tff(decl_30,type,
relstr_set_smaller: ( $i * $i * $i ) > $o ).
tff(decl_31,type,
one_sorted_str: $i > $o ).
tff(decl_32,type,
empty: $i > $o ).
tff(decl_33,type,
esk1_0: $i ).
tff(decl_34,type,
esk2_0: $i ).
tff(decl_35,type,
esk3_0: $i ).
tff(decl_36,type,
esk4_1: $i > $i ).
tff(decl_37,type,
esk5_1: $i > $i ).
tff(decl_38,type,
esk6_1: $i > $i ).
tff(decl_39,type,
esk7_0: $i ).
tff(decl_40,type,
esk8_1: $i > $i ).
tff(decl_41,type,
esk9_0: $i ).
tff(decl_42,type,
esk10_1: $i > $i ).
tff(decl_43,type,
esk11_1: $i > $i ).
tff(decl_44,type,
esk12_1: $i > $i ).
tff(decl_45,type,
esk13_1: $i > $i ).
tff(decl_46,type,
esk14_0: $i ).
tff(decl_47,type,
esk15_0: $i ).
tff(decl_48,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
esk20_3: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
esk21_3: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
esk22_3: ( $i * $i * $i ) > $i ).
tff(decl_55,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_56,type,
esk24_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_57,type,
esk25_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_58,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
fof(s1_tarski__e11_2_1__waybel_0__1,axiom,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& transitive_relstr(X1)
& rel_str(X1)
& element(X2,powerset(the_carrier(X1)))
& finite(X3)
& element(X3,powerset(X2)) )
=> ( ! [X4,X5,X6] :
( ( X4 = X5
& ? [X7] :
( X7 = X5
& ? [X8] :
( element(X8,the_carrier(X1))
& in(X8,X2)
& relstr_set_smaller(X1,X7,X8) ) )
& X4 = X6
& ? [X9] :
( X9 = X6
& ? [X10] :
( element(X10,the_carrier(X1))
& in(X10,X2)
& relstr_set_smaller(X1,X9,X10) ) ) )
=> X5 = X6 )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ? [X6] :
( in(X6,powerset(X3))
& X6 = X5
& ? [X11] :
( X11 = X5
& ? [X12] :
( element(X12,the_carrier(X1))
& in(X12,X2)
& relstr_set_smaller(X1,X11,X12) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e11_2_1__waybel_0__1) ).
fof(s1_xboole_0__e11_2_1__waybel_0__1,conjecture,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& transitive_relstr(X1)
& rel_str(X1)
& element(X2,powerset(the_carrier(X1)))
& finite(X3)
& element(X3,powerset(X2)) )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ( in(X5,powerset(X3))
& ? [X6] :
( X6 = X5
& ? [X7] :
( element(X7,the_carrier(X1))
& in(X7,X2)
& relstr_set_smaller(X1,X6,X7) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e11_2_1__waybel_0__1) ).
fof(c_0_2,plain,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& transitive_relstr(X1)
& rel_str(X1)
& element(X2,powerset(the_carrier(X1)))
& finite(X3)
& element(X3,powerset(X2)) )
=> ( ! [X4,X5,X6] :
( ( X4 = X5
& ? [X7] :
( X7 = X5
& ? [X8] :
( element(X8,the_carrier(X1))
& in(X8,X2)
& relstr_set_smaller(X1,X7,X8) ) )
& X4 = X6
& ? [X9] :
( X9 = X6
& ? [X10] :
( element(X10,the_carrier(X1))
& in(X10,X2)
& relstr_set_smaller(X1,X9,X10) ) ) )
=> X5 = X6 )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ? [X6] :
( in(X6,powerset(X3))
& X6 = X5
& ? [X11] :
( X11 = X5
& ? [X12] :
( element(X12,the_carrier(X1))
& in(X12,X2)
& relstr_set_smaller(X1,X11,X12) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[s1_tarski__e11_2_1__waybel_0__1]) ).
fof(c_0_3,plain,
! [X44,X45,X46,X55,X59,X60,X61,X62] :
( ( in(esk24_4(X44,X45,X46,X55),powerset(X46))
| ~ in(X55,esk23_3(X44,X45,X46))
| esk16_3(X44,X45,X46) = esk17_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( esk24_4(X44,X45,X46,X55) = X55
| ~ in(X55,esk23_3(X44,X45,X46))
| esk16_3(X44,X45,X46) = esk17_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( esk25_4(X44,X45,X46,X55) = X55
| ~ in(X55,esk23_3(X44,X45,X46))
| esk16_3(X44,X45,X46) = esk17_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( element(esk26_4(X44,X45,X46,X55),the_carrier(X44))
| ~ in(X55,esk23_3(X44,X45,X46))
| esk16_3(X44,X45,X46) = esk17_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( in(esk26_4(X44,X45,X46,X55),X45)
| ~ in(X55,esk23_3(X44,X45,X46))
| esk16_3(X44,X45,X46) = esk17_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( relstr_set_smaller(X44,esk25_4(X44,X45,X46,X55),esk26_4(X44,X45,X46,X55))
| ~ in(X55,esk23_3(X44,X45,X46))
| esk16_3(X44,X45,X46) = esk17_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( ~ in(X60,powerset(X46))
| X60 != X59
| X61 != X59
| ~ element(X62,the_carrier(X44))
| ~ in(X62,X45)
| ~ relstr_set_smaller(X44,X61,X62)
| in(X59,esk23_3(X44,X45,X46))
| esk16_3(X44,X45,X46) = esk17_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( in(esk24_4(X44,X45,X46,X55),powerset(X46))
| ~ in(X55,esk23_3(X44,X45,X46))
| esk19_3(X44,X45,X46) = esk17_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( esk24_4(X44,X45,X46,X55) = X55
| ~ in(X55,esk23_3(X44,X45,X46))
| esk19_3(X44,X45,X46) = esk17_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( esk25_4(X44,X45,X46,X55) = X55
| ~ in(X55,esk23_3(X44,X45,X46))
| esk19_3(X44,X45,X46) = esk17_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( element(esk26_4(X44,X45,X46,X55),the_carrier(X44))
| ~ in(X55,esk23_3(X44,X45,X46))
| esk19_3(X44,X45,X46) = esk17_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( in(esk26_4(X44,X45,X46,X55),X45)
| ~ in(X55,esk23_3(X44,X45,X46))
| esk19_3(X44,X45,X46) = esk17_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( relstr_set_smaller(X44,esk25_4(X44,X45,X46,X55),esk26_4(X44,X45,X46,X55))
| ~ in(X55,esk23_3(X44,X45,X46))
| esk19_3(X44,X45,X46) = esk17_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( ~ in(X60,powerset(X46))
| X60 != X59
| X61 != X59
| ~ element(X62,the_carrier(X44))
| ~ in(X62,X45)
| ~ relstr_set_smaller(X44,X61,X62)
| in(X59,esk23_3(X44,X45,X46))
| esk19_3(X44,X45,X46) = esk17_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( in(esk24_4(X44,X45,X46,X55),powerset(X46))
| ~ in(X55,esk23_3(X44,X45,X46))
| element(esk20_3(X44,X45,X46),the_carrier(X44))
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( esk24_4(X44,X45,X46,X55) = X55
| ~ in(X55,esk23_3(X44,X45,X46))
| element(esk20_3(X44,X45,X46),the_carrier(X44))
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( esk25_4(X44,X45,X46,X55) = X55
| ~ in(X55,esk23_3(X44,X45,X46))
| element(esk20_3(X44,X45,X46),the_carrier(X44))
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( element(esk26_4(X44,X45,X46,X55),the_carrier(X44))
| ~ in(X55,esk23_3(X44,X45,X46))
| element(esk20_3(X44,X45,X46),the_carrier(X44))
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( in(esk26_4(X44,X45,X46,X55),X45)
| ~ in(X55,esk23_3(X44,X45,X46))
| element(esk20_3(X44,X45,X46),the_carrier(X44))
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( relstr_set_smaller(X44,esk25_4(X44,X45,X46,X55),esk26_4(X44,X45,X46,X55))
| ~ in(X55,esk23_3(X44,X45,X46))
| element(esk20_3(X44,X45,X46),the_carrier(X44))
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( ~ in(X60,powerset(X46))
| X60 != X59
| X61 != X59
| ~ element(X62,the_carrier(X44))
| ~ in(X62,X45)
| ~ relstr_set_smaller(X44,X61,X62)
| in(X59,esk23_3(X44,X45,X46))
| element(esk20_3(X44,X45,X46),the_carrier(X44))
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( in(esk24_4(X44,X45,X46,X55),powerset(X46))
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk20_3(X44,X45,X46),X45)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( esk24_4(X44,X45,X46,X55) = X55
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk20_3(X44,X45,X46),X45)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( esk25_4(X44,X45,X46,X55) = X55
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk20_3(X44,X45,X46),X45)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( element(esk26_4(X44,X45,X46,X55),the_carrier(X44))
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk20_3(X44,X45,X46),X45)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( in(esk26_4(X44,X45,X46,X55),X45)
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk20_3(X44,X45,X46),X45)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( relstr_set_smaller(X44,esk25_4(X44,X45,X46,X55),esk26_4(X44,X45,X46,X55))
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk20_3(X44,X45,X46),X45)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( ~ in(X60,powerset(X46))
| X60 != X59
| X61 != X59
| ~ element(X62,the_carrier(X44))
| ~ in(X62,X45)
| ~ relstr_set_smaller(X44,X61,X62)
| in(X59,esk23_3(X44,X45,X46))
| in(esk20_3(X44,X45,X46),X45)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( in(esk24_4(X44,X45,X46,X55),powerset(X46))
| ~ in(X55,esk23_3(X44,X45,X46))
| relstr_set_smaller(X44,esk19_3(X44,X45,X46),esk20_3(X44,X45,X46))
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( esk24_4(X44,X45,X46,X55) = X55
| ~ in(X55,esk23_3(X44,X45,X46))
| relstr_set_smaller(X44,esk19_3(X44,X45,X46),esk20_3(X44,X45,X46))
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( esk25_4(X44,X45,X46,X55) = X55
| ~ in(X55,esk23_3(X44,X45,X46))
| relstr_set_smaller(X44,esk19_3(X44,X45,X46),esk20_3(X44,X45,X46))
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( element(esk26_4(X44,X45,X46,X55),the_carrier(X44))
| ~ in(X55,esk23_3(X44,X45,X46))
| relstr_set_smaller(X44,esk19_3(X44,X45,X46),esk20_3(X44,X45,X46))
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( in(esk26_4(X44,X45,X46,X55),X45)
| ~ in(X55,esk23_3(X44,X45,X46))
| relstr_set_smaller(X44,esk19_3(X44,X45,X46),esk20_3(X44,X45,X46))
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( relstr_set_smaller(X44,esk25_4(X44,X45,X46,X55),esk26_4(X44,X45,X46,X55))
| ~ in(X55,esk23_3(X44,X45,X46))
| relstr_set_smaller(X44,esk19_3(X44,X45,X46),esk20_3(X44,X45,X46))
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( ~ in(X60,powerset(X46))
| X60 != X59
| X61 != X59
| ~ element(X62,the_carrier(X44))
| ~ in(X62,X45)
| ~ relstr_set_smaller(X44,X61,X62)
| in(X59,esk23_3(X44,X45,X46))
| relstr_set_smaller(X44,esk19_3(X44,X45,X46),esk20_3(X44,X45,X46))
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( in(esk24_4(X44,X45,X46,X55),powerset(X46))
| ~ in(X55,esk23_3(X44,X45,X46))
| esk16_3(X44,X45,X46) = esk18_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( esk24_4(X44,X45,X46,X55) = X55
| ~ in(X55,esk23_3(X44,X45,X46))
| esk16_3(X44,X45,X46) = esk18_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( esk25_4(X44,X45,X46,X55) = X55
| ~ in(X55,esk23_3(X44,X45,X46))
| esk16_3(X44,X45,X46) = esk18_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( element(esk26_4(X44,X45,X46,X55),the_carrier(X44))
| ~ in(X55,esk23_3(X44,X45,X46))
| esk16_3(X44,X45,X46) = esk18_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( in(esk26_4(X44,X45,X46,X55),X45)
| ~ in(X55,esk23_3(X44,X45,X46))
| esk16_3(X44,X45,X46) = esk18_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( relstr_set_smaller(X44,esk25_4(X44,X45,X46,X55),esk26_4(X44,X45,X46,X55))
| ~ in(X55,esk23_3(X44,X45,X46))
| esk16_3(X44,X45,X46) = esk18_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( ~ in(X60,powerset(X46))
| X60 != X59
| X61 != X59
| ~ element(X62,the_carrier(X44))
| ~ in(X62,X45)
| ~ relstr_set_smaller(X44,X61,X62)
| in(X59,esk23_3(X44,X45,X46))
| esk16_3(X44,X45,X46) = esk18_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( in(esk24_4(X44,X45,X46,X55),powerset(X46))
| ~ in(X55,esk23_3(X44,X45,X46))
| esk21_3(X44,X45,X46) = esk18_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( esk24_4(X44,X45,X46,X55) = X55
| ~ in(X55,esk23_3(X44,X45,X46))
| esk21_3(X44,X45,X46) = esk18_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( esk25_4(X44,X45,X46,X55) = X55
| ~ in(X55,esk23_3(X44,X45,X46))
| esk21_3(X44,X45,X46) = esk18_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( element(esk26_4(X44,X45,X46,X55),the_carrier(X44))
| ~ in(X55,esk23_3(X44,X45,X46))
| esk21_3(X44,X45,X46) = esk18_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( in(esk26_4(X44,X45,X46,X55),X45)
| ~ in(X55,esk23_3(X44,X45,X46))
| esk21_3(X44,X45,X46) = esk18_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( relstr_set_smaller(X44,esk25_4(X44,X45,X46,X55),esk26_4(X44,X45,X46,X55))
| ~ in(X55,esk23_3(X44,X45,X46))
| esk21_3(X44,X45,X46) = esk18_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( ~ in(X60,powerset(X46))
| X60 != X59
| X61 != X59
| ~ element(X62,the_carrier(X44))
| ~ in(X62,X45)
| ~ relstr_set_smaller(X44,X61,X62)
| in(X59,esk23_3(X44,X45,X46))
| esk21_3(X44,X45,X46) = esk18_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( in(esk24_4(X44,X45,X46,X55),powerset(X46))
| ~ in(X55,esk23_3(X44,X45,X46))
| element(esk22_3(X44,X45,X46),the_carrier(X44))
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( esk24_4(X44,X45,X46,X55) = X55
| ~ in(X55,esk23_3(X44,X45,X46))
| element(esk22_3(X44,X45,X46),the_carrier(X44))
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( esk25_4(X44,X45,X46,X55) = X55
| ~ in(X55,esk23_3(X44,X45,X46))
| element(esk22_3(X44,X45,X46),the_carrier(X44))
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( element(esk26_4(X44,X45,X46,X55),the_carrier(X44))
| ~ in(X55,esk23_3(X44,X45,X46))
| element(esk22_3(X44,X45,X46),the_carrier(X44))
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( in(esk26_4(X44,X45,X46,X55),X45)
| ~ in(X55,esk23_3(X44,X45,X46))
| element(esk22_3(X44,X45,X46),the_carrier(X44))
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( relstr_set_smaller(X44,esk25_4(X44,X45,X46,X55),esk26_4(X44,X45,X46,X55))
| ~ in(X55,esk23_3(X44,X45,X46))
| element(esk22_3(X44,X45,X46),the_carrier(X44))
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( ~ in(X60,powerset(X46))
| X60 != X59
| X61 != X59
| ~ element(X62,the_carrier(X44))
| ~ in(X62,X45)
| ~ relstr_set_smaller(X44,X61,X62)
| in(X59,esk23_3(X44,X45,X46))
| element(esk22_3(X44,X45,X46),the_carrier(X44))
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( in(esk24_4(X44,X45,X46,X55),powerset(X46))
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk22_3(X44,X45,X46),X45)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( esk24_4(X44,X45,X46,X55) = X55
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk22_3(X44,X45,X46),X45)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( esk25_4(X44,X45,X46,X55) = X55
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk22_3(X44,X45,X46),X45)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( element(esk26_4(X44,X45,X46,X55),the_carrier(X44))
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk22_3(X44,X45,X46),X45)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( in(esk26_4(X44,X45,X46,X55),X45)
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk22_3(X44,X45,X46),X45)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( relstr_set_smaller(X44,esk25_4(X44,X45,X46,X55),esk26_4(X44,X45,X46,X55))
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk22_3(X44,X45,X46),X45)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( ~ in(X60,powerset(X46))
| X60 != X59
| X61 != X59
| ~ element(X62,the_carrier(X44))
| ~ in(X62,X45)
| ~ relstr_set_smaller(X44,X61,X62)
| in(X59,esk23_3(X44,X45,X46))
| in(esk22_3(X44,X45,X46),X45)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( in(esk24_4(X44,X45,X46,X55),powerset(X46))
| ~ in(X55,esk23_3(X44,X45,X46))
| relstr_set_smaller(X44,esk21_3(X44,X45,X46),esk22_3(X44,X45,X46))
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( esk24_4(X44,X45,X46,X55) = X55
| ~ in(X55,esk23_3(X44,X45,X46))
| relstr_set_smaller(X44,esk21_3(X44,X45,X46),esk22_3(X44,X45,X46))
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( esk25_4(X44,X45,X46,X55) = X55
| ~ in(X55,esk23_3(X44,X45,X46))
| relstr_set_smaller(X44,esk21_3(X44,X45,X46),esk22_3(X44,X45,X46))
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( element(esk26_4(X44,X45,X46,X55),the_carrier(X44))
| ~ in(X55,esk23_3(X44,X45,X46))
| relstr_set_smaller(X44,esk21_3(X44,X45,X46),esk22_3(X44,X45,X46))
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( in(esk26_4(X44,X45,X46,X55),X45)
| ~ in(X55,esk23_3(X44,X45,X46))
| relstr_set_smaller(X44,esk21_3(X44,X45,X46),esk22_3(X44,X45,X46))
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( relstr_set_smaller(X44,esk25_4(X44,X45,X46,X55),esk26_4(X44,X45,X46,X55))
| ~ in(X55,esk23_3(X44,X45,X46))
| relstr_set_smaller(X44,esk21_3(X44,X45,X46),esk22_3(X44,X45,X46))
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( ~ in(X60,powerset(X46))
| X60 != X59
| X61 != X59
| ~ element(X62,the_carrier(X44))
| ~ in(X62,X45)
| ~ relstr_set_smaller(X44,X61,X62)
| in(X59,esk23_3(X44,X45,X46))
| relstr_set_smaller(X44,esk21_3(X44,X45,X46),esk22_3(X44,X45,X46))
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( in(esk24_4(X44,X45,X46,X55),powerset(X46))
| ~ in(X55,esk23_3(X44,X45,X46))
| esk17_3(X44,X45,X46) != esk18_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( esk24_4(X44,X45,X46,X55) = X55
| ~ in(X55,esk23_3(X44,X45,X46))
| esk17_3(X44,X45,X46) != esk18_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( esk25_4(X44,X45,X46,X55) = X55
| ~ in(X55,esk23_3(X44,X45,X46))
| esk17_3(X44,X45,X46) != esk18_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( element(esk26_4(X44,X45,X46,X55),the_carrier(X44))
| ~ in(X55,esk23_3(X44,X45,X46))
| esk17_3(X44,X45,X46) != esk18_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( in(esk26_4(X44,X45,X46,X55),X45)
| ~ in(X55,esk23_3(X44,X45,X46))
| esk17_3(X44,X45,X46) != esk18_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( relstr_set_smaller(X44,esk25_4(X44,X45,X46,X55),esk26_4(X44,X45,X46,X55))
| ~ in(X55,esk23_3(X44,X45,X46))
| esk17_3(X44,X45,X46) != esk18_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) )
& ( ~ in(X60,powerset(X46))
| X60 != X59
| X61 != X59
| ~ element(X62,the_carrier(X44))
| ~ in(X62,X45)
| ~ relstr_set_smaller(X44,X61,X62)
| in(X59,esk23_3(X44,X45,X46))
| esk17_3(X44,X45,X46) != esk18_3(X44,X45,X46)
| empty_carrier(X44)
| ~ transitive_relstr(X44)
| ~ rel_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ finite(X46)
| ~ element(X46,powerset(X45)) ) ),
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)],[c_0_2])])])])])]) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& transitive_relstr(X1)
& rel_str(X1)
& element(X2,powerset(the_carrier(X1)))
& finite(X3)
& element(X3,powerset(X2)) )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ( in(X5,powerset(X3))
& ? [X6] :
( X6 = X5
& ? [X7] :
( element(X7,the_carrier(X1))
& in(X7,X2)
& relstr_set_smaller(X1,X6,X7) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[s1_xboole_0__e11_2_1__waybel_0__1])]) ).
cnf(c_0_5,plain,
( in(X3,esk23_3(X6,X7,X2))
| esk16_3(X6,X7,X2) = esk17_3(X6,X7,X2)
| empty_carrier(X6)
| ~ in(X1,powerset(X2))
| X1 != X3
| X4 != X3
| ~ element(X5,the_carrier(X6))
| ~ in(X5,X7)
| ~ relstr_set_smaller(X6,X4,X5)
| ~ transitive_relstr(X6)
| ~ rel_str(X6)
| ~ element(X7,powerset(the_carrier(X6)))
| ~ finite(X2)
| ~ element(X2,powerset(X7)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_6,negated_conjecture,
! [X16,X18,X19] :
( ~ empty_carrier(esk1_0)
& transitive_relstr(esk1_0)
& rel_str(esk1_0)
& element(esk2_0,powerset(the_carrier(esk1_0)))
& finite(esk3_0)
& element(esk3_0,powerset(esk2_0))
& ( ~ in(esk4_1(X16),X16)
| ~ in(esk4_1(X16),powerset(esk3_0))
| X18 != esk4_1(X16)
| ~ element(X19,the_carrier(esk1_0))
| ~ in(X19,esk2_0)
| ~ relstr_set_smaller(esk1_0,X18,X19) )
& ( in(esk4_1(X16),powerset(esk3_0))
| in(esk4_1(X16),X16) )
& ( esk5_1(X16) = esk4_1(X16)
| in(esk4_1(X16),X16) )
& ( element(esk6_1(X16),the_carrier(esk1_0))
| in(esk4_1(X16),X16) )
& ( in(esk6_1(X16),esk2_0)
| in(esk4_1(X16),X16) )
& ( relstr_set_smaller(esk1_0,esk5_1(X16),esk6_1(X16))
| in(esk4_1(X16),X16) ) ),
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_4])])])])]) ).
cnf(c_0_7,plain,
( esk16_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| in(X4,esk23_3(X1,X2,X3))
| empty_carrier(X1)
| ~ relstr_set_smaller(X1,X4,X5)
| ~ in(X4,powerset(X3))
| ~ in(X5,X2)
| ~ finite(X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X5,the_carrier(X1))
| ~ element(X3,powerset(X2))
| ~ rel_str(X1)
| ~ transitive_relstr(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_5])]) ).
cnf(c_0_8,negated_conjecture,
( relstr_set_smaller(esk1_0,esk5_1(X1),esk6_1(X1))
| in(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
rel_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
transitive_relstr(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
~ empty_carrier(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
( element(esk6_1(X1),the_carrier(esk1_0))
| in(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
( esk16_3(esk1_0,X1,X2) = esk17_3(esk1_0,X1,X2)
| in(esk5_1(X3),esk23_3(esk1_0,X1,X2))
| in(esk4_1(X3),X3)
| ~ in(esk5_1(X3),powerset(X2))
| ~ in(esk6_1(X3),X1)
| ~ finite(X2)
| ~ element(X1,powerset(the_carrier(esk1_0)))
| ~ element(X2,powerset(X1)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]),c_0_10])]),c_0_11]),c_0_12]) ).
cnf(c_0_14,negated_conjecture,
element(esk2_0,powerset(the_carrier(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,negated_conjecture,
( in(esk6_1(X1),esk2_0)
| in(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,negated_conjecture,
( esk16_3(esk1_0,esk2_0,X1) = esk17_3(esk1_0,esk2_0,X1)
| in(esk5_1(X2),esk23_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| ~ in(esk5_1(X2),powerset(X1))
| ~ finite(X1)
| ~ element(X1,powerset(esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_17,negated_conjecture,
( esk5_1(X1) = esk4_1(X1)
| in(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,negated_conjecture,
( esk16_3(esk1_0,esk2_0,X1) = esk17_3(esk1_0,esk2_0,X1)
| in(esk4_1(X2),esk23_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| ~ in(esk4_1(X2),powerset(X1))
| ~ finite(X1)
| ~ element(X1,powerset(esk2_0)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,negated_conjecture,
( in(esk4_1(X1),powerset(esk3_0))
| in(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_20,negated_conjecture,
finite(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,negated_conjecture,
element(esk3_0,powerset(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_22,plain,
( in(X3,esk23_3(X6,X7,X2))
| esk16_3(X6,X7,X2) = esk18_3(X6,X7,X2)
| empty_carrier(X6)
| ~ in(X1,powerset(X2))
| X1 != X3
| X4 != X3
| ~ element(X5,the_carrier(X6))
| ~ in(X5,X7)
| ~ relstr_set_smaller(X6,X4,X5)
| ~ transitive_relstr(X6)
| ~ rel_str(X6)
| ~ element(X7,powerset(the_carrier(X6)))
| ~ finite(X2)
| ~ element(X2,powerset(X7)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_23,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),esk23_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21])]) ).
cnf(c_0_24,plain,
( esk16_3(X1,X2,X3) = esk18_3(X1,X2,X3)
| in(X4,esk23_3(X1,X2,X3))
| empty_carrier(X1)
| ~ relstr_set_smaller(X1,X4,X5)
| ~ in(X4,powerset(X3))
| ~ in(X5,X2)
| ~ finite(X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X5,the_carrier(X1))
| ~ element(X3,powerset(X2))
| ~ rel_str(X1)
| ~ transitive_relstr(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_22])]) ).
cnf(c_0_25,plain,
( esk25_4(X1,X2,X3,X4) = X4
| esk16_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| empty_carrier(X1)
| ~ in(X4,esk23_3(X1,X2,X3))
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ finite(X3)
| ~ element(X3,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_26,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),esk23_3(esk1_0,esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_23]) ).
cnf(c_0_27,plain,
( esk24_4(X1,X2,X3,X4) = X4
| esk16_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| empty_carrier(X1)
| ~ in(X4,esk23_3(X1,X2,X3))
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ finite(X3)
| ~ element(X3,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_28,plain,
( in(X3,esk23_3(X6,X7,X2))
| empty_carrier(X6)
| ~ in(X1,powerset(X2))
| X1 != X3
| X4 != X3
| ~ element(X5,the_carrier(X6))
| ~ in(X5,X7)
| ~ relstr_set_smaller(X6,X4,X5)
| esk17_3(X6,X7,X2) != esk18_3(X6,X7,X2)
| ~ transitive_relstr(X6)
| ~ rel_str(X6)
| ~ element(X7,powerset(the_carrier(X6)))
| ~ finite(X2)
| ~ element(X2,powerset(X7)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_29,negated_conjecture,
( esk16_3(esk1_0,X1,X2) = esk18_3(esk1_0,X1,X2)
| in(esk5_1(X3),esk23_3(esk1_0,X1,X2))
| in(esk4_1(X3),X3)
| ~ in(esk5_1(X3),powerset(X2))
| ~ in(esk6_1(X3),X1)
| ~ finite(X2)
| ~ element(X1,powerset(the_carrier(esk1_0)))
| ~ element(X2,powerset(X1)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_8]),c_0_9]),c_0_10])]),c_0_11]),c_0_12]) ).
cnf(c_0_30,negated_conjecture,
( ~ in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),powerset(esk3_0))
| X2 != esk4_1(X1)
| ~ element(X3,the_carrier(esk1_0))
| ~ in(X3,esk2_0)
| ~ relstr_set_smaller(esk1_0,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_31,plain,
( relstr_set_smaller(X1,esk25_4(X1,X2,X3,X4),esk26_4(X1,X2,X3,X4))
| esk16_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| empty_carrier(X1)
| ~ in(X4,esk23_3(X1,X2,X3))
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ finite(X3)
| ~ element(X3,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_32,negated_conjecture,
( esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))
| esk16_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_20]),c_0_14]),c_0_21]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_33,plain,
( in(esk24_4(X1,X2,X3,X4),powerset(X3))
| esk16_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| empty_carrier(X1)
| ~ in(X4,esk23_3(X1,X2,X3))
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ finite(X3)
| ~ element(X3,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_34,negated_conjecture,
( esk24_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))
| esk16_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_26]),c_0_20]),c_0_14]),c_0_21]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_35,plain,
( in(X1,esk23_3(X2,X3,X4))
| empty_carrier(X2)
| esk18_3(X2,X3,X4) != esk17_3(X2,X3,X4)
| ~ relstr_set_smaller(X2,X1,X5)
| ~ in(X1,powerset(X4))
| ~ in(X5,X3)
| ~ finite(X4)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ element(X5,the_carrier(X2))
| ~ element(X4,powerset(X3))
| ~ rel_str(X2)
| ~ transitive_relstr(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_28])]) ).
cnf(c_0_36,negated_conjecture,
( esk16_3(esk1_0,esk2_0,X1) = esk18_3(esk1_0,esk2_0,X1)
| in(esk5_1(X2),esk23_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| ~ in(esk5_1(X2),powerset(X1))
| ~ finite(X1)
| ~ element(X1,powerset(esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_14]),c_0_15]) ).
cnf(c_0_37,negated_conjecture,
( ~ relstr_set_smaller(esk1_0,esk4_1(X1),X2)
| ~ in(esk4_1(X1),powerset(esk3_0))
| ~ in(esk4_1(X1),X1)
| ~ in(X2,esk2_0)
| ~ element(X2,the_carrier(esk1_0)) ),
inference(er,[status(thm)],[c_0_30]) ).
cnf(c_0_38,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0)
| relstr_set_smaller(esk1_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),esk26_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)))) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_20]),c_0_14]),c_0_21]),c_0_9]),c_0_10])]),c_0_11]),c_0_26]) ).
cnf(c_0_39,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),powerset(esk3_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_20]),c_0_14]),c_0_21]),c_0_9]),c_0_10])]),c_0_11]),c_0_26]) ).
cnf(c_0_40,negated_conjecture,
( in(esk5_1(X1),esk23_3(esk1_0,X2,X3))
| in(esk4_1(X1),X1)
| esk18_3(esk1_0,X2,X3) != esk17_3(esk1_0,X2,X3)
| ~ in(esk5_1(X1),powerset(X3))
| ~ in(esk6_1(X1),X2)
| ~ finite(X3)
| ~ element(X2,powerset(the_carrier(esk1_0)))
| ~ element(X3,powerset(X2)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_8]),c_0_9]),c_0_10])]),c_0_11]),c_0_12]) ).
cnf(c_0_41,negated_conjecture,
( esk16_3(esk1_0,esk2_0,X1) = esk18_3(esk1_0,esk2_0,X1)
| in(esk4_1(X2),esk23_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| ~ in(esk4_1(X2),powerset(X1))
| ~ finite(X1)
| ~ element(X1,powerset(esk2_0)) ),
inference(spm,[status(thm)],[c_0_36,c_0_17]) ).
cnf(c_0_42,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0)
| ~ in(esk26_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))),esk2_0)
| ~ element(esk26_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))),the_carrier(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_26]) ).
cnf(c_0_43,plain,
( element(esk26_4(X1,X2,X3,X4),the_carrier(X1))
| esk16_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| empty_carrier(X1)
| ~ in(X4,esk23_3(X1,X2,X3))
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ finite(X3)
| ~ element(X3,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_44,negated_conjecture,
( in(esk5_1(X1),esk23_3(esk1_0,esk2_0,X2))
| in(esk4_1(X1),X1)
| esk18_3(esk1_0,esk2_0,X2) != esk17_3(esk1_0,esk2_0,X2)
| ~ in(esk5_1(X1),powerset(X2))
| ~ finite(X2)
| ~ element(X2,powerset(esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_14]),c_0_15]) ).
cnf(c_0_45,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk18_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),esk23_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_19]),c_0_20]),c_0_21])]) ).
cnf(c_0_46,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0)
| ~ in(esk26_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))),esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_20]),c_0_14]),c_0_21]),c_0_9]),c_0_10])]),c_0_11]),c_0_26]) ).
cnf(c_0_47,plain,
( in(esk26_4(X1,X2,X3,X4),X2)
| esk16_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| empty_carrier(X1)
| ~ in(X4,esk23_3(X1,X2,X3))
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ finite(X3)
| ~ element(X3,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_48,negated_conjecture,
( in(esk4_1(X1),esk23_3(esk1_0,esk2_0,X2))
| in(esk4_1(X1),X1)
| esk18_3(esk1_0,esk2_0,X2) != esk17_3(esk1_0,esk2_0,X2)
| ~ in(esk4_1(X1),powerset(X2))
| ~ finite(X2)
| ~ element(X2,powerset(esk2_0)) ),
inference(spm,[status(thm)],[c_0_44,c_0_17]) ).
cnf(c_0_49,plain,
( esk25_4(X1,X2,X3,X4) = X4
| esk16_3(X1,X2,X3) = esk18_3(X1,X2,X3)
| empty_carrier(X1)
| ~ in(X4,esk23_3(X1,X2,X3))
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ finite(X3)
| ~ element(X3,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_50,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk18_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),esk23_3(esk1_0,esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_45]) ).
cnf(c_0_51,negated_conjecture,
esk16_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_20]),c_0_14]),c_0_21]),c_0_9]),c_0_10])]),c_0_11]),c_0_26]) ).
cnf(c_0_52,negated_conjecture,
( in(esk4_1(X1),esk23_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| esk18_3(esk1_0,esk2_0,esk3_0) != esk17_3(esk1_0,esk2_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_19]),c_0_20]),c_0_21])]) ).
cnf(c_0_53,plain,
( esk24_4(X1,X2,X3,X4) = X4
| esk16_3(X1,X2,X3) = esk18_3(X1,X2,X3)
| empty_carrier(X1)
| ~ in(X4,esk23_3(X1,X2,X3))
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ finite(X3)
| ~ element(X3,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_54,negated_conjecture,
( esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))
| esk16_3(esk1_0,esk2_0,esk3_0) = esk18_3(esk1_0,esk2_0,esk3_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_20]),c_0_14]),c_0_21]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_55,negated_conjecture,
( in(esk4_1(X1),esk23_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_51]),c_0_52]) ).
cnf(c_0_56,plain,
( in(esk24_4(X1,X2,X3,X4),powerset(X3))
| esk16_3(X1,X2,X3) = esk18_3(X1,X2,X3)
| empty_carrier(X1)
| ~ in(X4,esk23_3(X1,X2,X3))
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ finite(X3)
| ~ element(X3,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_57,negated_conjecture,
( esk24_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))
| esk16_3(esk1_0,esk2_0,esk3_0) = esk18_3(esk1_0,esk2_0,esk3_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_50]),c_0_20]),c_0_14]),c_0_21]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_58,plain,
( relstr_set_smaller(X1,esk25_4(X1,X2,X3,X4),esk26_4(X1,X2,X3,X4))
| esk16_3(X1,X2,X3) = esk18_3(X1,X2,X3)
| empty_carrier(X1)
| ~ in(X4,esk23_3(X1,X2,X3))
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ finite(X3)
| ~ element(X3,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_59,negated_conjecture,
( esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))
| esk18_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0) ),
inference(rw,[status(thm)],[c_0_54,c_0_51]) ).
cnf(c_0_60,negated_conjecture,
in(esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),esk23_3(esk1_0,esk2_0,esk3_0)),
inference(ef,[status(thm)],[c_0_55]) ).
cnf(c_0_61,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk18_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),powerset(esk3_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_20]),c_0_14]),c_0_21]),c_0_9]),c_0_10])]),c_0_11]),c_0_50]) ).
cnf(c_0_62,negated_conjecture,
( esk18_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0)
| relstr_set_smaller(esk1_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),esk26_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_51]),c_0_60]),c_0_20]),c_0_14]),c_0_21]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_63,negated_conjecture,
( esk18_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),powerset(esk3_0)) ),
inference(rw,[status(thm)],[c_0_61,c_0_51]) ).
cnf(c_0_64,negated_conjecture,
( esk18_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0)
| ~ in(esk26_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))),esk2_0)
| ~ element(esk26_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))),the_carrier(esk1_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_62]),c_0_60])]),c_0_63]) ).
cnf(c_0_65,plain,
( element(esk26_4(X1,X2,X3,X4),the_carrier(X1))
| esk16_3(X1,X2,X3) = esk18_3(X1,X2,X3)
| empty_carrier(X1)
| ~ in(X4,esk23_3(X1,X2,X3))
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ finite(X3)
| ~ element(X3,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_66,negated_conjecture,
( esk18_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0)
| ~ in(esk26_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))),esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_51]),c_0_60]),c_0_20]),c_0_14]),c_0_21]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_67,plain,
( in(esk26_4(X1,X2,X3,X4),X2)
| esk16_3(X1,X2,X3) = esk18_3(X1,X2,X3)
| empty_carrier(X1)
| ~ in(X4,esk23_3(X1,X2,X3))
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ finite(X3)
| ~ element(X3,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_68,plain,
( esk25_4(X1,X2,X3,X4) = X4
| empty_carrier(X1)
| ~ in(X4,esk23_3(X1,X2,X3))
| esk17_3(X1,X2,X3) != esk18_3(X1,X2,X3)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ finite(X3)
| ~ element(X3,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_69,negated_conjecture,
esk18_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_51]),c_0_60]),c_0_20]),c_0_14]),c_0_21]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_70,plain,
( esk24_4(X1,X2,X3,X4) = X4
| empty_carrier(X1)
| ~ in(X4,esk23_3(X1,X2,X3))
| esk17_3(X1,X2,X3) != esk18_3(X1,X2,X3)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ finite(X3)
| ~ element(X3,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_71,plain,
( relstr_set_smaller(X1,esk25_4(X1,X2,X3,X4),esk26_4(X1,X2,X3,X4))
| empty_carrier(X1)
| ~ in(X4,esk23_3(X1,X2,X3))
| esk17_3(X1,X2,X3) != esk18_3(X1,X2,X3)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ finite(X3)
| ~ element(X3,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_72,negated_conjecture,
( esk25_4(esk1_0,esk2_0,esk3_0,X1) = X1
| ~ in(X1,esk23_3(esk1_0,esk2_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_20]),c_0_14]),c_0_21]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_73,plain,
( in(esk24_4(X1,X2,X3,X4),powerset(X3))
| empty_carrier(X1)
| ~ in(X4,esk23_3(X1,X2,X3))
| esk17_3(X1,X2,X3) != esk18_3(X1,X2,X3)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ finite(X3)
| ~ element(X3,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_74,negated_conjecture,
( esk24_4(esk1_0,esk2_0,esk3_0,X1) = X1
| ~ in(X1,esk23_3(esk1_0,esk2_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_69]),c_0_20]),c_0_14]),c_0_21]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_75,negated_conjecture,
( relstr_set_smaller(esk1_0,X1,esk26_4(esk1_0,esk2_0,esk3_0,X1))
| ~ in(X1,esk23_3(esk1_0,esk2_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_69]),c_0_20]),c_0_14]),c_0_21]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_76,negated_conjecture,
( in(X1,powerset(esk3_0))
| ~ in(X1,esk23_3(esk1_0,esk2_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_69]),c_0_20]),c_0_14]),c_0_21]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_77,negated_conjecture,
( ~ in(esk26_4(esk1_0,esk2_0,esk3_0,esk4_1(X1)),esk2_0)
| ~ in(esk4_1(X1),esk23_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk4_1(X1),X1)
| ~ element(esk26_4(esk1_0,esk2_0,esk3_0,esk4_1(X1)),the_carrier(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_75]),c_0_76]) ).
cnf(c_0_78,plain,
( element(esk26_4(X1,X2,X3,X4),the_carrier(X1))
| empty_carrier(X1)
| ~ in(X4,esk23_3(X1,X2,X3))
| esk17_3(X1,X2,X3) != esk18_3(X1,X2,X3)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ finite(X3)
| ~ element(X3,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_79,negated_conjecture,
( ~ in(esk26_4(esk1_0,esk2_0,esk3_0,esk4_1(X1)),esk2_0)
| ~ in(esk4_1(X1),esk23_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk4_1(X1),X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_69]),c_0_20]),c_0_14]),c_0_21]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_80,plain,
( in(esk26_4(X1,X2,X3,X4),X2)
| empty_carrier(X1)
| ~ in(X4,esk23_3(X1,X2,X3))
| esk17_3(X1,X2,X3) != esk18_3(X1,X2,X3)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ finite(X3)
| ~ element(X3,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_81,negated_conjecture,
( ~ in(esk4_1(X1),esk23_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk4_1(X1),X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_69]),c_0_20]),c_0_14]),c_0_21]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_82,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_60]),c_0_60])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU364+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 : n015.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 14:27:35 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.80/0.95 % Version : CSE_E---1.5
% 0.80/0.95 % Problem : theBenchmark.p
% 0.80/0.95 % Proof found
% 0.80/0.95 % SZS status Theorem for theBenchmark.p
% 0.80/0.95 % SZS output start Proof
% See solution above
% 0.80/0.96 % Total time : 0.364000 s
% 0.80/0.96 % SZS output end Proof
% 0.80/0.96 % Total time : 0.367000 s
%------------------------------------------------------------------------------