TSTP Solution File: SEU364+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU364+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n011.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 09:19:23 EDT 2022
% Result : Theorem 0.23s 1.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 2
% Syntax : Number of formulae : 93 ( 16 unt; 0 def)
% Number of atoms : 1233 ( 177 equ)
% Maximal formula atoms : 748 ( 13 avg)
% Number of connectives : 1914 ( 774 ~;1008 |; 124 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 99 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 3 con; 0-4 aty)
% Number of variables : 193 ( 1 sgn 26 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/solver/bin/../tmp/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/sandbox/solver/bin/../tmp/theBenchmark.p',s1_xboole_0__e11_2_1__waybel_0__1) ).
fof(c_0_2,plain,
! [X13,X14,X15,X24,X24,X28,X29,X30] :
( ( in(esk15_4(X13,X14,X15,X24),powerset(X15))
| ~ in(X24,esk14_3(X13,X14,X15))
| esk7_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk15_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| esk7_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk16_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| esk7_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( element(esk17_4(X13,X14,X15,X24),the_carrier(X13))
| ~ in(X24,esk14_3(X13,X14,X15))
| esk7_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk17_4(X13,X14,X15,X24),X14)
| ~ in(X24,esk14_3(X13,X14,X15))
| esk7_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( relstr_set_smaller(X13,esk16_4(X13,X14,X15,X24),esk17_4(X13,X14,X15,X24))
| ~ in(X24,esk14_3(X13,X14,X15))
| esk7_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( ~ in(X28,powerset(X15))
| X28 != X24
| X29 != X24
| ~ element(X30,the_carrier(X13))
| ~ in(X30,X14)
| ~ relstr_set_smaller(X13,X29,X30)
| in(X24,esk14_3(X13,X14,X15))
| esk7_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk15_4(X13,X14,X15,X24),powerset(X15))
| ~ in(X24,esk14_3(X13,X14,X15))
| esk10_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk15_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| esk10_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk16_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| esk10_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( element(esk17_4(X13,X14,X15,X24),the_carrier(X13))
| ~ in(X24,esk14_3(X13,X14,X15))
| esk10_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk17_4(X13,X14,X15,X24),X14)
| ~ in(X24,esk14_3(X13,X14,X15))
| esk10_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( relstr_set_smaller(X13,esk16_4(X13,X14,X15,X24),esk17_4(X13,X14,X15,X24))
| ~ in(X24,esk14_3(X13,X14,X15))
| esk10_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( ~ in(X28,powerset(X15))
| X28 != X24
| X29 != X24
| ~ element(X30,the_carrier(X13))
| ~ in(X30,X14)
| ~ relstr_set_smaller(X13,X29,X30)
| in(X24,esk14_3(X13,X14,X15))
| esk10_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk15_4(X13,X14,X15,X24),powerset(X15))
| ~ in(X24,esk14_3(X13,X14,X15))
| element(esk11_3(X13,X14,X15),the_carrier(X13))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk15_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| element(esk11_3(X13,X14,X15),the_carrier(X13))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk16_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| element(esk11_3(X13,X14,X15),the_carrier(X13))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( element(esk17_4(X13,X14,X15,X24),the_carrier(X13))
| ~ in(X24,esk14_3(X13,X14,X15))
| element(esk11_3(X13,X14,X15),the_carrier(X13))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk17_4(X13,X14,X15,X24),X14)
| ~ in(X24,esk14_3(X13,X14,X15))
| element(esk11_3(X13,X14,X15),the_carrier(X13))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( relstr_set_smaller(X13,esk16_4(X13,X14,X15,X24),esk17_4(X13,X14,X15,X24))
| ~ in(X24,esk14_3(X13,X14,X15))
| element(esk11_3(X13,X14,X15),the_carrier(X13))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( ~ in(X28,powerset(X15))
| X28 != X24
| X29 != X24
| ~ element(X30,the_carrier(X13))
| ~ in(X30,X14)
| ~ relstr_set_smaller(X13,X29,X30)
| in(X24,esk14_3(X13,X14,X15))
| element(esk11_3(X13,X14,X15),the_carrier(X13))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk15_4(X13,X14,X15,X24),powerset(X15))
| ~ in(X24,esk14_3(X13,X14,X15))
| in(esk11_3(X13,X14,X15),X14)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk15_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| in(esk11_3(X13,X14,X15),X14)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk16_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| in(esk11_3(X13,X14,X15),X14)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( element(esk17_4(X13,X14,X15,X24),the_carrier(X13))
| ~ in(X24,esk14_3(X13,X14,X15))
| in(esk11_3(X13,X14,X15),X14)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk17_4(X13,X14,X15,X24),X14)
| ~ in(X24,esk14_3(X13,X14,X15))
| in(esk11_3(X13,X14,X15),X14)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( relstr_set_smaller(X13,esk16_4(X13,X14,X15,X24),esk17_4(X13,X14,X15,X24))
| ~ in(X24,esk14_3(X13,X14,X15))
| in(esk11_3(X13,X14,X15),X14)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( ~ in(X28,powerset(X15))
| X28 != X24
| X29 != X24
| ~ element(X30,the_carrier(X13))
| ~ in(X30,X14)
| ~ relstr_set_smaller(X13,X29,X30)
| in(X24,esk14_3(X13,X14,X15))
| in(esk11_3(X13,X14,X15),X14)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk15_4(X13,X14,X15,X24),powerset(X15))
| ~ in(X24,esk14_3(X13,X14,X15))
| relstr_set_smaller(X13,esk10_3(X13,X14,X15),esk11_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk15_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| relstr_set_smaller(X13,esk10_3(X13,X14,X15),esk11_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk16_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| relstr_set_smaller(X13,esk10_3(X13,X14,X15),esk11_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( element(esk17_4(X13,X14,X15,X24),the_carrier(X13))
| ~ in(X24,esk14_3(X13,X14,X15))
| relstr_set_smaller(X13,esk10_3(X13,X14,X15),esk11_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk17_4(X13,X14,X15,X24),X14)
| ~ in(X24,esk14_3(X13,X14,X15))
| relstr_set_smaller(X13,esk10_3(X13,X14,X15),esk11_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( relstr_set_smaller(X13,esk16_4(X13,X14,X15,X24),esk17_4(X13,X14,X15,X24))
| ~ in(X24,esk14_3(X13,X14,X15))
| relstr_set_smaller(X13,esk10_3(X13,X14,X15),esk11_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( ~ in(X28,powerset(X15))
| X28 != X24
| X29 != X24
| ~ element(X30,the_carrier(X13))
| ~ in(X30,X14)
| ~ relstr_set_smaller(X13,X29,X30)
| in(X24,esk14_3(X13,X14,X15))
| relstr_set_smaller(X13,esk10_3(X13,X14,X15),esk11_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk15_4(X13,X14,X15,X24),powerset(X15))
| ~ in(X24,esk14_3(X13,X14,X15))
| esk7_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk15_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| esk7_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk16_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| esk7_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( element(esk17_4(X13,X14,X15,X24),the_carrier(X13))
| ~ in(X24,esk14_3(X13,X14,X15))
| esk7_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk17_4(X13,X14,X15,X24),X14)
| ~ in(X24,esk14_3(X13,X14,X15))
| esk7_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( relstr_set_smaller(X13,esk16_4(X13,X14,X15,X24),esk17_4(X13,X14,X15,X24))
| ~ in(X24,esk14_3(X13,X14,X15))
| esk7_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( ~ in(X28,powerset(X15))
| X28 != X24
| X29 != X24
| ~ element(X30,the_carrier(X13))
| ~ in(X30,X14)
| ~ relstr_set_smaller(X13,X29,X30)
| in(X24,esk14_3(X13,X14,X15))
| esk7_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk15_4(X13,X14,X15,X24),powerset(X15))
| ~ in(X24,esk14_3(X13,X14,X15))
| esk12_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk15_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| esk12_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk16_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| esk12_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( element(esk17_4(X13,X14,X15,X24),the_carrier(X13))
| ~ in(X24,esk14_3(X13,X14,X15))
| esk12_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk17_4(X13,X14,X15,X24),X14)
| ~ in(X24,esk14_3(X13,X14,X15))
| esk12_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( relstr_set_smaller(X13,esk16_4(X13,X14,X15,X24),esk17_4(X13,X14,X15,X24))
| ~ in(X24,esk14_3(X13,X14,X15))
| esk12_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( ~ in(X28,powerset(X15))
| X28 != X24
| X29 != X24
| ~ element(X30,the_carrier(X13))
| ~ in(X30,X14)
| ~ relstr_set_smaller(X13,X29,X30)
| in(X24,esk14_3(X13,X14,X15))
| esk12_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk15_4(X13,X14,X15,X24),powerset(X15))
| ~ in(X24,esk14_3(X13,X14,X15))
| element(esk13_3(X13,X14,X15),the_carrier(X13))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk15_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| element(esk13_3(X13,X14,X15),the_carrier(X13))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk16_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| element(esk13_3(X13,X14,X15),the_carrier(X13))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( element(esk17_4(X13,X14,X15,X24),the_carrier(X13))
| ~ in(X24,esk14_3(X13,X14,X15))
| element(esk13_3(X13,X14,X15),the_carrier(X13))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk17_4(X13,X14,X15,X24),X14)
| ~ in(X24,esk14_3(X13,X14,X15))
| element(esk13_3(X13,X14,X15),the_carrier(X13))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( relstr_set_smaller(X13,esk16_4(X13,X14,X15,X24),esk17_4(X13,X14,X15,X24))
| ~ in(X24,esk14_3(X13,X14,X15))
| element(esk13_3(X13,X14,X15),the_carrier(X13))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( ~ in(X28,powerset(X15))
| X28 != X24
| X29 != X24
| ~ element(X30,the_carrier(X13))
| ~ in(X30,X14)
| ~ relstr_set_smaller(X13,X29,X30)
| in(X24,esk14_3(X13,X14,X15))
| element(esk13_3(X13,X14,X15),the_carrier(X13))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk15_4(X13,X14,X15,X24),powerset(X15))
| ~ in(X24,esk14_3(X13,X14,X15))
| in(esk13_3(X13,X14,X15),X14)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk15_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| in(esk13_3(X13,X14,X15),X14)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk16_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| in(esk13_3(X13,X14,X15),X14)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( element(esk17_4(X13,X14,X15,X24),the_carrier(X13))
| ~ in(X24,esk14_3(X13,X14,X15))
| in(esk13_3(X13,X14,X15),X14)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk17_4(X13,X14,X15,X24),X14)
| ~ in(X24,esk14_3(X13,X14,X15))
| in(esk13_3(X13,X14,X15),X14)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( relstr_set_smaller(X13,esk16_4(X13,X14,X15,X24),esk17_4(X13,X14,X15,X24))
| ~ in(X24,esk14_3(X13,X14,X15))
| in(esk13_3(X13,X14,X15),X14)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( ~ in(X28,powerset(X15))
| X28 != X24
| X29 != X24
| ~ element(X30,the_carrier(X13))
| ~ in(X30,X14)
| ~ relstr_set_smaller(X13,X29,X30)
| in(X24,esk14_3(X13,X14,X15))
| in(esk13_3(X13,X14,X15),X14)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk15_4(X13,X14,X15,X24),powerset(X15))
| ~ in(X24,esk14_3(X13,X14,X15))
| relstr_set_smaller(X13,esk12_3(X13,X14,X15),esk13_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk15_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| relstr_set_smaller(X13,esk12_3(X13,X14,X15),esk13_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk16_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| relstr_set_smaller(X13,esk12_3(X13,X14,X15),esk13_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( element(esk17_4(X13,X14,X15,X24),the_carrier(X13))
| ~ in(X24,esk14_3(X13,X14,X15))
| relstr_set_smaller(X13,esk12_3(X13,X14,X15),esk13_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk17_4(X13,X14,X15,X24),X14)
| ~ in(X24,esk14_3(X13,X14,X15))
| relstr_set_smaller(X13,esk12_3(X13,X14,X15),esk13_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( relstr_set_smaller(X13,esk16_4(X13,X14,X15,X24),esk17_4(X13,X14,X15,X24))
| ~ in(X24,esk14_3(X13,X14,X15))
| relstr_set_smaller(X13,esk12_3(X13,X14,X15),esk13_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( ~ in(X28,powerset(X15))
| X28 != X24
| X29 != X24
| ~ element(X30,the_carrier(X13))
| ~ in(X30,X14)
| ~ relstr_set_smaller(X13,X29,X30)
| in(X24,esk14_3(X13,X14,X15))
| relstr_set_smaller(X13,esk12_3(X13,X14,X15),esk13_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk15_4(X13,X14,X15,X24),powerset(X15))
| ~ in(X24,esk14_3(X13,X14,X15))
| esk8_3(X13,X14,X15) != esk9_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk15_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| esk8_3(X13,X14,X15) != esk9_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk16_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| esk8_3(X13,X14,X15) != esk9_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( element(esk17_4(X13,X14,X15,X24),the_carrier(X13))
| ~ in(X24,esk14_3(X13,X14,X15))
| esk8_3(X13,X14,X15) != esk9_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk17_4(X13,X14,X15,X24),X14)
| ~ in(X24,esk14_3(X13,X14,X15))
| esk8_3(X13,X14,X15) != esk9_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( relstr_set_smaller(X13,esk16_4(X13,X14,X15,X24),esk17_4(X13,X14,X15,X24))
| ~ in(X24,esk14_3(X13,X14,X15))
| esk8_3(X13,X14,X15) != esk9_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( ~ in(X28,powerset(X15))
| X28 != X24
| X29 != X24
| ~ element(X30,the_carrier(X13))
| ~ in(X30,X14)
| ~ relstr_set_smaller(X13,X29,X30)
| in(X24,esk14_3(X13,X14,X15))
| esk8_3(X13,X14,X15) != esk9_3(X13,X14,X15)
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) ) ),
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_tarski__e11_2_1__waybel_0__1])])])])])])])]) ).
fof(c_0_3,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(assume_negation,[status(cth)],[s1_xboole_0__e11_2_1__waybel_0__1]) ).
cnf(c_0_4,plain,
( empty_carrier(X3)
| esk7_3(X3,X2,X1) = esk8_3(X3,X2,X1)
| in(X4,esk14_3(X3,X2,X1))
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ relstr_set_smaller(X3,X5,X6)
| ~ in(X6,X2)
| ~ element(X6,the_carrier(X3))
| X5 != X4
| X7 != X4
| ~ in(X7,powerset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_5,negated_conjecture,
! [X11,X13,X14] :
( ~ 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(X11),X11)
| ~ in(esk4_1(X11),powerset(esk3_0))
| X13 != esk4_1(X11)
| ~ element(X14,the_carrier(esk1_0))
| ~ in(X14,esk2_0)
| ~ relstr_set_smaller(esk1_0,X13,X14) )
& ( in(esk4_1(X11),powerset(esk3_0))
| in(esk4_1(X11),X11) )
& ( esk5_1(X11) = esk4_1(X11)
| in(esk4_1(X11),X11) )
& ( element(esk6_1(X11),the_carrier(esk1_0))
| in(esk4_1(X11),X11) )
& ( in(esk6_1(X11),esk2_0)
| in(esk4_1(X11),X11) )
& ( relstr_set_smaller(esk1_0,esk5_1(X11),esk6_1(X11))
| in(esk4_1(X11),X11) ) ),
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)],[c_0_3])])])])])])])]) ).
cnf(c_0_6,plain,
( esk7_3(X1,X2,X3) = esk8_3(X1,X2,X3)
| in(X4,esk14_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_4])]) ).
cnf(c_0_7,negated_conjecture,
element(esk2_0,powerset(the_carrier(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
rel_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
transitive_relstr(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
~ empty_carrier(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,negated_conjecture,
( esk7_3(esk1_0,esk2_0,X1) = esk8_3(esk1_0,esk2_0,X1)
| in(X2,esk14_3(esk1_0,esk2_0,X1))
| ~ relstr_set_smaller(esk1_0,X2,X3)
| ~ in(X2,powerset(X1))
| ~ in(X3,esk2_0)
| ~ finite(X1)
| ~ element(X3,the_carrier(esk1_0))
| ~ element(X1,powerset(esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),c_0_9])]),c_0_10]) ).
cnf(c_0_12,negated_conjecture,
( in(esk4_1(X1),X1)
| element(esk6_1(X1),the_carrier(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk6_1(X1),esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,negated_conjecture,
( in(esk4_1(X1),X1)
| relstr_set_smaller(esk1_0,esk5_1(X1),esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,negated_conjecture,
( in(esk4_1(X1),X1)
| esk5_1(X1) = esk4_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_16,plain,
( empty_carrier(X3)
| esk7_3(X3,X2,X1) = esk9_3(X3,X2,X1)
| in(X4,esk14_3(X3,X2,X1))
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ relstr_set_smaller(X3,X5,X6)
| ~ in(X6,X2)
| ~ element(X6,the_carrier(X3))
| X5 != X4
| X7 != X4
| ~ in(X7,powerset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_17,negated_conjecture,
( esk7_3(esk1_0,esk2_0,X1) = esk8_3(esk1_0,esk2_0,X1)
| in(X2,esk14_3(esk1_0,esk2_0,X1))
| in(esk4_1(X3),X3)
| ~ relstr_set_smaller(esk1_0,X2,esk6_1(X3))
| ~ in(X2,powerset(X1))
| ~ finite(X1)
| ~ element(X1,powerset(esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_18,negated_conjecture,
( relstr_set_smaller(esk1_0,esk4_1(X1),esk6_1(X1))
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
( esk7_3(X1,X2,X3) = esk9_3(X1,X2,X3)
| in(X4,esk14_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_16])]) ).
cnf(c_0_20,negated_conjecture,
( esk7_3(esk1_0,esk2_0,X1) = esk8_3(esk1_0,esk2_0,X1)
| in(esk4_1(X2),esk14_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_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk4_1(X1),powerset(esk3_0)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_22,negated_conjecture,
finite(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_23,negated_conjecture,
element(esk3_0,powerset(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_24,negated_conjecture,
( esk7_3(esk1_0,esk2_0,X1) = esk9_3(esk1_0,esk2_0,X1)
| in(X2,esk14_3(esk1_0,esk2_0,X1))
| ~ relstr_set_smaller(esk1_0,X2,X3)
| ~ in(X2,powerset(X1))
| ~ in(X3,esk2_0)
| ~ finite(X1)
| ~ element(X3,the_carrier(esk1_0))
| ~ element(X1,powerset(esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_7]),c_0_8]),c_0_9])]),c_0_10]) ).
cnf(c_0_25,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),esk14_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_20,c_0_21]),c_0_22]),c_0_23])]) ).
cnf(c_0_26,plain,
( empty_carrier(X3)
| in(X4,esk14_3(X3,X2,X1))
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| esk8_3(X3,X2,X1) != esk9_3(X3,X2,X1)
| ~ relstr_set_smaller(X3,X5,X6)
| ~ in(X6,X2)
| ~ element(X6,the_carrier(X3))
| X5 != X4
| X7 != X4
| ~ in(X7,powerset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_27,negated_conjecture,
( esk7_3(esk1_0,esk2_0,X1) = esk9_3(esk1_0,esk2_0,X1)
| in(X2,esk14_3(esk1_0,esk2_0,X1))
| in(esk4_1(X3),X3)
| ~ relstr_set_smaller(esk1_0,X2,esk6_1(X3))
| ~ in(X2,powerset(X1))
| ~ finite(X1)
| ~ element(X1,powerset(esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_12]),c_0_13]) ).
cnf(c_0_28,plain,
( empty_carrier(X3)
| esk7_3(X3,X2,X1) = esk8_3(X3,X2,X1)
| in(esk15_4(X3,X2,X1,X4),powerset(X1))
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_29,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)),esk14_3(esk1_0,esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_25]) ).
cnf(c_0_30,plain,
( empty_carrier(X3)
| esk7_3(X3,X2,X1) = esk8_3(X3,X2,X1)
| esk15_4(X3,X2,X1,X4) = X4
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_31,plain,
( in(X1,esk14_3(X2,X3,X4))
| empty_carrier(X2)
| esk9_3(X2,X3,X4) != esk8_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_26])]) ).
cnf(c_0_32,negated_conjecture,
( esk7_3(esk1_0,esk2_0,X1) = esk9_3(esk1_0,esk2_0,X1)
| in(esk4_1(X2),esk14_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_27,c_0_18]) ).
cnf(c_0_33,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0)
| in(esk15_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))),powerset(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_28,c_0_29]),c_0_22]),c_0_7]),c_0_23]),c_0_8]),c_0_9])]),c_0_10]) ).
cnf(c_0_34,negated_conjecture,
( esk15_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))
| esk7_3(esk1_0,esk2_0,esk3_0) = esk8_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_30,c_0_29]),c_0_22]),c_0_7]),c_0_23]),c_0_8]),c_0_9])]),c_0_10]) ).
cnf(c_0_35,negated_conjecture,
( in(X1,esk14_3(esk1_0,esk2_0,X2))
| esk9_3(esk1_0,esk2_0,X2) != esk8_3(esk1_0,esk2_0,X2)
| ~ relstr_set_smaller(esk1_0,X1,X3)
| ~ in(X1,powerset(X2))
| ~ in(X3,esk2_0)
| ~ finite(X2)
| ~ element(X3,the_carrier(esk1_0))
| ~ element(X2,powerset(esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_7]),c_0_8]),c_0_9])]),c_0_10]) ).
cnf(c_0_36,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk9_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),esk14_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_32,c_0_21]),c_0_22]),c_0_23])]) ).
cnf(c_0_37,negated_conjecture,
( ~ relstr_set_smaller(esk1_0,X1,X2)
| ~ in(X2,esk2_0)
| ~ element(X2,the_carrier(esk1_0))
| X1 != esk4_1(X3)
| ~ in(esk4_1(X3),powerset(esk3_0))
| ~ in(esk4_1(X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_38,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)),powerset(esk3_0)) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,plain,
( empty_carrier(X3)
| esk7_3(X3,X2,X1) = esk8_3(X3,X2,X1)
| relstr_set_smaller(X3,esk16_4(X3,X2,X1,X4),esk17_4(X3,X2,X1,X4))
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_40,plain,
( empty_carrier(X3)
| esk7_3(X3,X2,X1) = esk8_3(X3,X2,X1)
| esk16_4(X3,X2,X1,X4) = X4
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_41,negated_conjecture,
( in(X1,esk14_3(esk1_0,esk2_0,X2))
| in(esk4_1(X3),X3)
| esk9_3(esk1_0,esk2_0,X2) != esk8_3(esk1_0,esk2_0,X2)
| ~ relstr_set_smaller(esk1_0,X1,esk6_1(X3))
| ~ in(X1,powerset(X2))
| ~ finite(X2)
| ~ element(X2,powerset(esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_12]),c_0_13]) ).
cnf(c_0_42,negated_conjecture,
( esk9_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),esk14_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X2),esk14_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| in(esk4_1(X2),X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_36]) ).
cnf(c_0_43,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0)
| X1 != esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))
| ~ relstr_set_smaller(esk1_0,X1,X2)
| ~ in(X2,esk2_0)
| ~ element(X2,the_carrier(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_29]) ).
cnf(c_0_44,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0)
| relstr_set_smaller(esk1_0,esk16_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))),esk17_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_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_39,c_0_29]),c_0_22]),c_0_7]),c_0_23]),c_0_8]),c_0_9])]),c_0_10]) ).
cnf(c_0_45,negated_conjecture,
( esk16_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))
| esk7_3(esk1_0,esk2_0,esk3_0) = esk8_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_40,c_0_29]),c_0_22]),c_0_7]),c_0_23]),c_0_8]),c_0_9])]),c_0_10]) ).
cnf(c_0_46,plain,
( empty_carrier(X3)
| esk7_3(X3,X2,X1) = esk8_3(X3,X2,X1)
| element(esk17_4(X3,X2,X1,X4),the_carrier(X3))
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_47,plain,
( empty_carrier(X3)
| esk7_3(X3,X2,X1) = esk8_3(X3,X2,X1)
| in(esk17_4(X3,X2,X1,X4),X2)
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_48,negated_conjecture,
( in(esk4_1(X1),esk14_3(esk1_0,esk2_0,X2))
| in(esk4_1(X1),X1)
| esk9_3(esk1_0,esk2_0,X2) != esk8_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_41,c_0_18]) ).
cnf(c_0_49,negated_conjecture,
( esk9_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),esk14_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(ef,[status(thm)],[c_0_42]) ).
cnf(c_0_50,plain,
( empty_carrier(X3)
| esk7_3(X3,X2,X1) = esk9_3(X3,X2,X1)
| in(esk15_4(X3,X2,X1,X4),powerset(X1))
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_51,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk9_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)),esk14_3(esk1_0,esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_36]) ).
cnf(c_0_52,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0)
| ~ relstr_set_smaller(esk1_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)),X1)
| ~ in(X1,esk2_0)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(er,[status(thm)],[c_0_43]) ).
cnf(c_0_53,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0)
| relstr_set_smaller(esk1_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)),esk17_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)))) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_54,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0)
| element(esk17_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))),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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_29]),c_0_22]),c_0_7]),c_0_23]),c_0_8]),c_0_9])]),c_0_10]) ).
cnf(c_0_55,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0)
| in(esk17_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_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(spm,[status(thm)],[c_0_47,c_0_29]),c_0_22]),c_0_7]),c_0_23]),c_0_8]),c_0_9])]),c_0_10]) ).
cnf(c_0_56,plain,
( empty_carrier(X3)
| esk7_3(X3,X2,X1) = esk9_3(X3,X2,X1)
| esk15_4(X3,X2,X1,X4) = X4
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_57,negated_conjecture,
( in(esk4_1(X1),esk14_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_21]),c_0_22]),c_0_23])]),c_0_49]) ).
cnf(c_0_58,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk9_3(esk1_0,esk2_0,esk3_0)
| in(esk15_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))),powerset(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_50,c_0_51]),c_0_22]),c_0_7]),c_0_23]),c_0_8]),c_0_9])]),c_0_10]) ).
cnf(c_0_59,negated_conjecture,
esk7_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_55]) ).
cnf(c_0_60,negated_conjecture,
( esk15_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))
| esk7_3(esk1_0,esk2_0,esk3_0) = esk9_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_56,c_0_51]),c_0_22]),c_0_7]),c_0_23]),c_0_8]),c_0_9])]),c_0_10]) ).
cnf(c_0_61,plain,
( empty_carrier(X3)
| in(esk15_4(X3,X2,X1,X4),powerset(X1))
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| esk8_3(X3,X2,X1) != esk9_3(X3,X2,X1)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_62,negated_conjecture,
in(esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)),esk14_3(esk1_0,esk2_0,esk3_0)),
inference(ef,[status(thm)],[c_0_57]) ).
cnf(c_0_63,negated_conjecture,
( esk9_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0)
| in(esk15_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))),powerset(esk3_0)) ),
inference(rw,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_64,plain,
( empty_carrier(X3)
| esk15_4(X3,X2,X1,X4) = X4
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| esk8_3(X3,X2,X1) != esk9_3(X3,X2,X1)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_65,negated_conjecture,
( esk15_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))
| esk9_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0) ),
inference(rw,[status(thm)],[c_0_60,c_0_59]) ).
cnf(c_0_66,plain,
( empty_carrier(X3)
| esk7_3(X3,X2,X1) = esk9_3(X3,X2,X1)
| esk16_4(X3,X2,X1,X4) = X4
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_67,plain,
( empty_carrier(X3)
| esk7_3(X3,X2,X1) = esk9_3(X3,X2,X1)
| relstr_set_smaller(X3,esk16_4(X3,X2,X1,X4),esk17_4(X3,X2,X1,X4))
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_68,negated_conjecture,
in(esk15_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_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_61,c_0_62]),c_0_22]),c_0_7]),c_0_23]),c_0_8]),c_0_9])]),c_0_10]),c_0_63]) ).
cnf(c_0_69,negated_conjecture,
esk15_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk14_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_64,c_0_62]),c_0_22]),c_0_7]),c_0_23]),c_0_8]),c_0_9])]),c_0_10]),c_0_65]) ).
cnf(c_0_70,negated_conjecture,
( esk16_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))
| esk7_3(esk1_0,esk2_0,esk3_0) = esk9_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_66,c_0_51]),c_0_22]),c_0_7]),c_0_23]),c_0_8]),c_0_9])]),c_0_10]) ).
cnf(c_0_71,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk9_3(esk1_0,esk2_0,esk3_0)
| relstr_set_smaller(esk1_0,esk16_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))),esk17_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_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_67,c_0_51]),c_0_22]),c_0_7]),c_0_23]),c_0_8]),c_0_9])]),c_0_10]) ).
cnf(c_0_72,plain,
( empty_carrier(X3)
| esk7_3(X3,X2,X1) = esk9_3(X3,X2,X1)
| in(esk17_4(X3,X2,X1,X4),X2)
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_73,plain,
( empty_carrier(X3)
| esk7_3(X3,X2,X1) = esk9_3(X3,X2,X1)
| element(esk17_4(X3,X2,X1,X4),the_carrier(X3))
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_74,negated_conjecture,
in(esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)),powerset(esk3_0)),
inference(rw,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_75,plain,
( empty_carrier(X3)
| esk16_4(X3,X2,X1,X4) = X4
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| esk8_3(X3,X2,X1) != esk9_3(X3,X2,X1)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_76,negated_conjecture,
( esk16_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))
| esk9_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0) ),
inference(rw,[status(thm)],[c_0_70,c_0_59]) ).
cnf(c_0_77,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk9_3(esk1_0,esk2_0,esk3_0)
| relstr_set_smaller(esk1_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)),esk17_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)))) ),
inference(spm,[status(thm)],[c_0_71,c_0_70]) ).
cnf(c_0_78,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk9_3(esk1_0,esk2_0,esk3_0)
| in(esk17_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_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(spm,[status(thm)],[c_0_72,c_0_51]),c_0_22]),c_0_7]),c_0_23]),c_0_8]),c_0_9])]),c_0_10]) ).
cnf(c_0_79,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk9_3(esk1_0,esk2_0,esk3_0)
| element(esk17_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))),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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_51]),c_0_22]),c_0_7]),c_0_23]),c_0_8]),c_0_9])]),c_0_10]) ).
cnf(c_0_80,negated_conjecture,
( X1 != esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))
| ~ relstr_set_smaller(esk1_0,X1,X2)
| ~ in(X2,esk2_0)
| ~ element(X2,the_carrier(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_74]),c_0_62])]) ).
cnf(c_0_81,plain,
( empty_carrier(X3)
| relstr_set_smaller(X3,esk16_4(X3,X2,X1,X4),esk17_4(X3,X2,X1,X4))
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| esk8_3(X3,X2,X1) != esk9_3(X3,X2,X1)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_82,negated_conjecture,
esk16_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk14_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_75,c_0_62]),c_0_22]),c_0_7]),c_0_23]),c_0_8]),c_0_9])]),c_0_10]),c_0_76]) ).
cnf(c_0_83,negated_conjecture,
( esk9_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0)
| relstr_set_smaller(esk1_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)),esk17_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)))) ),
inference(rw,[status(thm)],[c_0_77,c_0_59]) ).
cnf(c_0_84,plain,
( empty_carrier(X3)
| in(esk17_4(X3,X2,X1,X4),X2)
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| esk8_3(X3,X2,X1) != esk9_3(X3,X2,X1)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_85,negated_conjecture,
( esk9_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0)
| in(esk17_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))),esk2_0) ),
inference(rw,[status(thm)],[c_0_78,c_0_59]) ).
cnf(c_0_86,plain,
( empty_carrier(X3)
| element(esk17_4(X3,X2,X1,X4),the_carrier(X3))
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| esk8_3(X3,X2,X1) != esk9_3(X3,X2,X1)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_87,negated_conjecture,
( esk9_3(esk1_0,esk2_0,esk3_0) = esk8_3(esk1_0,esk2_0,esk3_0)
| element(esk17_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))),the_carrier(esk1_0)) ),
inference(rw,[status(thm)],[c_0_79,c_0_59]) ).
cnf(c_0_88,negated_conjecture,
( ~ relstr_set_smaller(esk1_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)),X1)
| ~ in(X1,esk2_0)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(er,[status(thm)],[c_0_80]) ).
cnf(c_0_89,negated_conjecture,
relstr_set_smaller(esk1_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)),esk17_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0)))),
inference(csr,[status(thm)],[inference(rw,[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_81,c_0_62]),c_0_22]),c_0_7]),c_0_23]),c_0_8]),c_0_9])]),c_0_10]),c_0_82]),c_0_83]) ).
cnf(c_0_90,negated_conjecture,
in(esk17_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_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_84,c_0_62]),c_0_22]),c_0_7]),c_0_23]),c_0_8]),c_0_9])]),c_0_10]),c_0_85]) ).
cnf(c_0_91,negated_conjecture,
element(esk17_4(esk1_0,esk2_0,esk3_0,esk4_1(esk14_3(esk1_0,esk2_0,esk3_0))),the_carrier(esk1_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_86,c_0_62]),c_0_22]),c_0_7]),c_0_23]),c_0_8]),c_0_9])]),c_0_10]),c_0_87]) ).
cnf(c_0_92,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]),c_0_91])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU364+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 19 03:16:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.23/1.42 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.23/1.42 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.23/1.42 # Preprocessing time : 0.019 s
% 0.23/1.42
% 0.23/1.42 # Proof found!
% 0.23/1.42 # SZS status Theorem
% 0.23/1.42 # SZS output start CNFRefutation
% See solution above
% 0.23/1.42 # Proof object total steps : 93
% 0.23/1.42 # Proof object clause steps : 88
% 0.23/1.42 # Proof object formula steps : 5
% 0.23/1.42 # Proof object conjectures : 67
% 0.23/1.42 # Proof object clause conjectures : 64
% 0.23/1.42 # Proof object formula conjectures : 3
% 0.23/1.42 # Proof object initial clauses used : 33
% 0.23/1.42 # Proof object initial formulas used : 2
% 0.23/1.42 # Proof object generating inferences : 45
% 0.23/1.42 # Proof object simplifying inferences : 179
% 0.23/1.42 # Training examples: 0 positive, 0 negative
% 0.23/1.42 # Parsed axioms : 21
% 0.23/1.42 # Removed by relevancy pruning/SinE : 4
% 0.23/1.42 # Initial clauses : 113
% 0.23/1.42 # Removed in clause preprocessing : 0
% 0.23/1.42 # Initial clauses in saturation : 113
% 0.23/1.42 # Processed clauses : 2421
% 0.23/1.42 # ...of these trivial : 64
% 0.23/1.42 # ...subsumed : 1341
% 0.23/1.42 # ...remaining for further processing : 1016
% 0.23/1.42 # Other redundant clauses eliminated : 22
% 0.23/1.42 # Clauses deleted for lack of memory : 0
% 0.23/1.42 # Backward-subsumed : 195
% 0.23/1.42 # Backward-rewritten : 136
% 0.23/1.42 # Generated clauses : 6816
% 0.23/1.42 # ...of the previous two non-trivial : 6526
% 0.23/1.42 # Contextual simplify-reflections : 1803
% 0.23/1.42 # Paramodulations : 6764
% 0.23/1.42 # Factorizations : 34
% 0.23/1.42 # Equation resolutions : 29
% 0.23/1.42 # Current number of processed clauses : 674
% 0.23/1.42 # Positive orientable unit clauses : 29
% 0.23/1.42 # Positive unorientable unit clauses: 0
% 0.23/1.42 # Negative unit clauses : 11
% 0.23/1.42 # Non-unit-clauses : 634
% 0.23/1.42 # Current number of unprocessed clauses: 1337
% 0.23/1.42 # ...number of literals in the above : 10972
% 0.23/1.42 # Current number of archived formulas : 0
% 0.23/1.42 # Current number of archived clauses : 331
% 0.23/1.42 # Clause-clause subsumption calls (NU) : 359722
% 0.23/1.42 # Rec. Clause-clause subsumption calls : 57738
% 0.23/1.42 # Non-unit clause-clause subsumptions : 3287
% 0.23/1.42 # Unit Clause-clause subsumption calls : 5025
% 0.23/1.42 # Rewrite failures with RHS unbound : 0
% 0.23/1.42 # BW rewrite match attempts : 71
% 0.23/1.42 # BW rewrite match successes : 18
% 0.23/1.42 # Condensation attempts : 0
% 0.23/1.42 # Condensation successes : 0
% 0.23/1.42 # Termbank termtop insertions : 309116
% 0.23/1.42
% 0.23/1.42 # -------------------------------------------------
% 0.23/1.42 # User time : 0.348 s
% 0.23/1.42 # System time : 0.009 s
% 0.23/1.42 # Total time : 0.357 s
% 0.23/1.42 # Maximum resident set size: 7732 pages
%------------------------------------------------------------------------------