%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU364+1 : TPTP v9.2.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n021.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 : Tue May 5 05:12:04 PM UTC 2026
% Result : Theorem 4.07s 3.26s
% Output : CNFRefutation 4.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 2
% Syntax : Number of formulae : 91 ( 17 unt; 0 def)
% Number of atoms : 1245 ( 179 equ)
% Maximal formula atoms : 748 ( 13 avg)
% Number of connectives : 1929 ( 775 ~; 999 |; 143 &)
% ( 4 <=>; 8 =>; 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 : 204 ( 0 sgn 33 !; 22 ?)
% 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/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,
! [X88,X89,X90,X99,X103,X104,X105,X106] :
( ( in(esk24_4(X88,X89,X90,X99),powerset(X90))
| ~ in(X99,esk23_3(X88,X89,X90))
| esk16_3(X88,X89,X90) = esk17_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( esk24_4(X88,X89,X90,X99) = X99
| ~ in(X99,esk23_3(X88,X89,X90))
| esk16_3(X88,X89,X90) = esk17_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( esk25_4(X88,X89,X90,X99) = X99
| ~ in(X99,esk23_3(X88,X89,X90))
| esk16_3(X88,X89,X90) = esk17_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( element(esk26_4(X88,X89,X90,X99),the_carrier(X88))
| ~ in(X99,esk23_3(X88,X89,X90))
| esk16_3(X88,X89,X90) = esk17_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( in(esk26_4(X88,X89,X90,X99),X89)
| ~ in(X99,esk23_3(X88,X89,X90))
| esk16_3(X88,X89,X90) = esk17_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( relstr_set_smaller(X88,esk25_4(X88,X89,X90,X99),esk26_4(X88,X89,X90,X99))
| ~ in(X99,esk23_3(X88,X89,X90))
| esk16_3(X88,X89,X90) = esk17_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( ~ in(X104,powerset(X90))
| X104 != X103
| X105 != X103
| ~ element(X106,the_carrier(X88))
| ~ in(X106,X89)
| ~ relstr_set_smaller(X88,X105,X106)
| in(X103,esk23_3(X88,X89,X90))
| esk16_3(X88,X89,X90) = esk17_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( in(esk24_4(X88,X89,X90,X99),powerset(X90))
| ~ in(X99,esk23_3(X88,X89,X90))
| esk19_3(X88,X89,X90) = esk17_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( esk24_4(X88,X89,X90,X99) = X99
| ~ in(X99,esk23_3(X88,X89,X90))
| esk19_3(X88,X89,X90) = esk17_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( esk25_4(X88,X89,X90,X99) = X99
| ~ in(X99,esk23_3(X88,X89,X90))
| esk19_3(X88,X89,X90) = esk17_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( element(esk26_4(X88,X89,X90,X99),the_carrier(X88))
| ~ in(X99,esk23_3(X88,X89,X90))
| esk19_3(X88,X89,X90) = esk17_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( in(esk26_4(X88,X89,X90,X99),X89)
| ~ in(X99,esk23_3(X88,X89,X90))
| esk19_3(X88,X89,X90) = esk17_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( relstr_set_smaller(X88,esk25_4(X88,X89,X90,X99),esk26_4(X88,X89,X90,X99))
| ~ in(X99,esk23_3(X88,X89,X90))
| esk19_3(X88,X89,X90) = esk17_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( ~ in(X104,powerset(X90))
| X104 != X103
| X105 != X103
| ~ element(X106,the_carrier(X88))
| ~ in(X106,X89)
| ~ relstr_set_smaller(X88,X105,X106)
| in(X103,esk23_3(X88,X89,X90))
| esk19_3(X88,X89,X90) = esk17_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( in(esk24_4(X88,X89,X90,X99),powerset(X90))
| ~ in(X99,esk23_3(X88,X89,X90))
| element(esk20_3(X88,X89,X90),the_carrier(X88))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( esk24_4(X88,X89,X90,X99) = X99
| ~ in(X99,esk23_3(X88,X89,X90))
| element(esk20_3(X88,X89,X90),the_carrier(X88))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( esk25_4(X88,X89,X90,X99) = X99
| ~ in(X99,esk23_3(X88,X89,X90))
| element(esk20_3(X88,X89,X90),the_carrier(X88))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( element(esk26_4(X88,X89,X90,X99),the_carrier(X88))
| ~ in(X99,esk23_3(X88,X89,X90))
| element(esk20_3(X88,X89,X90),the_carrier(X88))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( in(esk26_4(X88,X89,X90,X99),X89)
| ~ in(X99,esk23_3(X88,X89,X90))
| element(esk20_3(X88,X89,X90),the_carrier(X88))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( relstr_set_smaller(X88,esk25_4(X88,X89,X90,X99),esk26_4(X88,X89,X90,X99))
| ~ in(X99,esk23_3(X88,X89,X90))
| element(esk20_3(X88,X89,X90),the_carrier(X88))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( ~ in(X104,powerset(X90))
| X104 != X103
| X105 != X103
| ~ element(X106,the_carrier(X88))
| ~ in(X106,X89)
| ~ relstr_set_smaller(X88,X105,X106)
| in(X103,esk23_3(X88,X89,X90))
| element(esk20_3(X88,X89,X90),the_carrier(X88))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( in(esk24_4(X88,X89,X90,X99),powerset(X90))
| ~ in(X99,esk23_3(X88,X89,X90))
| in(esk20_3(X88,X89,X90),X89)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( esk24_4(X88,X89,X90,X99) = X99
| ~ in(X99,esk23_3(X88,X89,X90))
| in(esk20_3(X88,X89,X90),X89)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( esk25_4(X88,X89,X90,X99) = X99
| ~ in(X99,esk23_3(X88,X89,X90))
| in(esk20_3(X88,X89,X90),X89)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( element(esk26_4(X88,X89,X90,X99),the_carrier(X88))
| ~ in(X99,esk23_3(X88,X89,X90))
| in(esk20_3(X88,X89,X90),X89)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( in(esk26_4(X88,X89,X90,X99),X89)
| ~ in(X99,esk23_3(X88,X89,X90))
| in(esk20_3(X88,X89,X90),X89)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( relstr_set_smaller(X88,esk25_4(X88,X89,X90,X99),esk26_4(X88,X89,X90,X99))
| ~ in(X99,esk23_3(X88,X89,X90))
| in(esk20_3(X88,X89,X90),X89)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( ~ in(X104,powerset(X90))
| X104 != X103
| X105 != X103
| ~ element(X106,the_carrier(X88))
| ~ in(X106,X89)
| ~ relstr_set_smaller(X88,X105,X106)
| in(X103,esk23_3(X88,X89,X90))
| in(esk20_3(X88,X89,X90),X89)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( in(esk24_4(X88,X89,X90,X99),powerset(X90))
| ~ in(X99,esk23_3(X88,X89,X90))
| relstr_set_smaller(X88,esk19_3(X88,X89,X90),esk20_3(X88,X89,X90))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( esk24_4(X88,X89,X90,X99) = X99
| ~ in(X99,esk23_3(X88,X89,X90))
| relstr_set_smaller(X88,esk19_3(X88,X89,X90),esk20_3(X88,X89,X90))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( esk25_4(X88,X89,X90,X99) = X99
| ~ in(X99,esk23_3(X88,X89,X90))
| relstr_set_smaller(X88,esk19_3(X88,X89,X90),esk20_3(X88,X89,X90))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( element(esk26_4(X88,X89,X90,X99),the_carrier(X88))
| ~ in(X99,esk23_3(X88,X89,X90))
| relstr_set_smaller(X88,esk19_3(X88,X89,X90),esk20_3(X88,X89,X90))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( in(esk26_4(X88,X89,X90,X99),X89)
| ~ in(X99,esk23_3(X88,X89,X90))
| relstr_set_smaller(X88,esk19_3(X88,X89,X90),esk20_3(X88,X89,X90))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( relstr_set_smaller(X88,esk25_4(X88,X89,X90,X99),esk26_4(X88,X89,X90,X99))
| ~ in(X99,esk23_3(X88,X89,X90))
| relstr_set_smaller(X88,esk19_3(X88,X89,X90),esk20_3(X88,X89,X90))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( ~ in(X104,powerset(X90))
| X104 != X103
| X105 != X103
| ~ element(X106,the_carrier(X88))
| ~ in(X106,X89)
| ~ relstr_set_smaller(X88,X105,X106)
| in(X103,esk23_3(X88,X89,X90))
| relstr_set_smaller(X88,esk19_3(X88,X89,X90),esk20_3(X88,X89,X90))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( in(esk24_4(X88,X89,X90,X99),powerset(X90))
| ~ in(X99,esk23_3(X88,X89,X90))
| esk16_3(X88,X89,X90) = esk18_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( esk24_4(X88,X89,X90,X99) = X99
| ~ in(X99,esk23_3(X88,X89,X90))
| esk16_3(X88,X89,X90) = esk18_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( esk25_4(X88,X89,X90,X99) = X99
| ~ in(X99,esk23_3(X88,X89,X90))
| esk16_3(X88,X89,X90) = esk18_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( element(esk26_4(X88,X89,X90,X99),the_carrier(X88))
| ~ in(X99,esk23_3(X88,X89,X90))
| esk16_3(X88,X89,X90) = esk18_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( in(esk26_4(X88,X89,X90,X99),X89)
| ~ in(X99,esk23_3(X88,X89,X90))
| esk16_3(X88,X89,X90) = esk18_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( relstr_set_smaller(X88,esk25_4(X88,X89,X90,X99),esk26_4(X88,X89,X90,X99))
| ~ in(X99,esk23_3(X88,X89,X90))
| esk16_3(X88,X89,X90) = esk18_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( ~ in(X104,powerset(X90))
| X104 != X103
| X105 != X103
| ~ element(X106,the_carrier(X88))
| ~ in(X106,X89)
| ~ relstr_set_smaller(X88,X105,X106)
| in(X103,esk23_3(X88,X89,X90))
| esk16_3(X88,X89,X90) = esk18_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( in(esk24_4(X88,X89,X90,X99),powerset(X90))
| ~ in(X99,esk23_3(X88,X89,X90))
| esk21_3(X88,X89,X90) = esk18_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( esk24_4(X88,X89,X90,X99) = X99
| ~ in(X99,esk23_3(X88,X89,X90))
| esk21_3(X88,X89,X90) = esk18_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( esk25_4(X88,X89,X90,X99) = X99
| ~ in(X99,esk23_3(X88,X89,X90))
| esk21_3(X88,X89,X90) = esk18_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( element(esk26_4(X88,X89,X90,X99),the_carrier(X88))
| ~ in(X99,esk23_3(X88,X89,X90))
| esk21_3(X88,X89,X90) = esk18_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( in(esk26_4(X88,X89,X90,X99),X89)
| ~ in(X99,esk23_3(X88,X89,X90))
| esk21_3(X88,X89,X90) = esk18_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( relstr_set_smaller(X88,esk25_4(X88,X89,X90,X99),esk26_4(X88,X89,X90,X99))
| ~ in(X99,esk23_3(X88,X89,X90))
| esk21_3(X88,X89,X90) = esk18_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( ~ in(X104,powerset(X90))
| X104 != X103
| X105 != X103
| ~ element(X106,the_carrier(X88))
| ~ in(X106,X89)
| ~ relstr_set_smaller(X88,X105,X106)
| in(X103,esk23_3(X88,X89,X90))
| esk21_3(X88,X89,X90) = esk18_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( in(esk24_4(X88,X89,X90,X99),powerset(X90))
| ~ in(X99,esk23_3(X88,X89,X90))
| element(esk22_3(X88,X89,X90),the_carrier(X88))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( esk24_4(X88,X89,X90,X99) = X99
| ~ in(X99,esk23_3(X88,X89,X90))
| element(esk22_3(X88,X89,X90),the_carrier(X88))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( esk25_4(X88,X89,X90,X99) = X99
| ~ in(X99,esk23_3(X88,X89,X90))
| element(esk22_3(X88,X89,X90),the_carrier(X88))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( element(esk26_4(X88,X89,X90,X99),the_carrier(X88))
| ~ in(X99,esk23_3(X88,X89,X90))
| element(esk22_3(X88,X89,X90),the_carrier(X88))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( in(esk26_4(X88,X89,X90,X99),X89)
| ~ in(X99,esk23_3(X88,X89,X90))
| element(esk22_3(X88,X89,X90),the_carrier(X88))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( relstr_set_smaller(X88,esk25_4(X88,X89,X90,X99),esk26_4(X88,X89,X90,X99))
| ~ in(X99,esk23_3(X88,X89,X90))
| element(esk22_3(X88,X89,X90),the_carrier(X88))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( ~ in(X104,powerset(X90))
| X104 != X103
| X105 != X103
| ~ element(X106,the_carrier(X88))
| ~ in(X106,X89)
| ~ relstr_set_smaller(X88,X105,X106)
| in(X103,esk23_3(X88,X89,X90))
| element(esk22_3(X88,X89,X90),the_carrier(X88))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( in(esk24_4(X88,X89,X90,X99),powerset(X90))
| ~ in(X99,esk23_3(X88,X89,X90))
| in(esk22_3(X88,X89,X90),X89)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( esk24_4(X88,X89,X90,X99) = X99
| ~ in(X99,esk23_3(X88,X89,X90))
| in(esk22_3(X88,X89,X90),X89)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( esk25_4(X88,X89,X90,X99) = X99
| ~ in(X99,esk23_3(X88,X89,X90))
| in(esk22_3(X88,X89,X90),X89)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( element(esk26_4(X88,X89,X90,X99),the_carrier(X88))
| ~ in(X99,esk23_3(X88,X89,X90))
| in(esk22_3(X88,X89,X90),X89)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( in(esk26_4(X88,X89,X90,X99),X89)
| ~ in(X99,esk23_3(X88,X89,X90))
| in(esk22_3(X88,X89,X90),X89)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( relstr_set_smaller(X88,esk25_4(X88,X89,X90,X99),esk26_4(X88,X89,X90,X99))
| ~ in(X99,esk23_3(X88,X89,X90))
| in(esk22_3(X88,X89,X90),X89)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( ~ in(X104,powerset(X90))
| X104 != X103
| X105 != X103
| ~ element(X106,the_carrier(X88))
| ~ in(X106,X89)
| ~ relstr_set_smaller(X88,X105,X106)
| in(X103,esk23_3(X88,X89,X90))
| in(esk22_3(X88,X89,X90),X89)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( in(esk24_4(X88,X89,X90,X99),powerset(X90))
| ~ in(X99,esk23_3(X88,X89,X90))
| relstr_set_smaller(X88,esk21_3(X88,X89,X90),esk22_3(X88,X89,X90))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( esk24_4(X88,X89,X90,X99) = X99
| ~ in(X99,esk23_3(X88,X89,X90))
| relstr_set_smaller(X88,esk21_3(X88,X89,X90),esk22_3(X88,X89,X90))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( esk25_4(X88,X89,X90,X99) = X99
| ~ in(X99,esk23_3(X88,X89,X90))
| relstr_set_smaller(X88,esk21_3(X88,X89,X90),esk22_3(X88,X89,X90))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( element(esk26_4(X88,X89,X90,X99),the_carrier(X88))
| ~ in(X99,esk23_3(X88,X89,X90))
| relstr_set_smaller(X88,esk21_3(X88,X89,X90),esk22_3(X88,X89,X90))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( in(esk26_4(X88,X89,X90,X99),X89)
| ~ in(X99,esk23_3(X88,X89,X90))
| relstr_set_smaller(X88,esk21_3(X88,X89,X90),esk22_3(X88,X89,X90))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( relstr_set_smaller(X88,esk25_4(X88,X89,X90,X99),esk26_4(X88,X89,X90,X99))
| ~ in(X99,esk23_3(X88,X89,X90))
| relstr_set_smaller(X88,esk21_3(X88,X89,X90),esk22_3(X88,X89,X90))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( ~ in(X104,powerset(X90))
| X104 != X103
| X105 != X103
| ~ element(X106,the_carrier(X88))
| ~ in(X106,X89)
| ~ relstr_set_smaller(X88,X105,X106)
| in(X103,esk23_3(X88,X89,X90))
| relstr_set_smaller(X88,esk21_3(X88,X89,X90),esk22_3(X88,X89,X90))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( in(esk24_4(X88,X89,X90,X99),powerset(X90))
| ~ in(X99,esk23_3(X88,X89,X90))
| esk17_3(X88,X89,X90) != esk18_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( esk24_4(X88,X89,X90,X99) = X99
| ~ in(X99,esk23_3(X88,X89,X90))
| esk17_3(X88,X89,X90) != esk18_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( esk25_4(X88,X89,X90,X99) = X99
| ~ in(X99,esk23_3(X88,X89,X90))
| esk17_3(X88,X89,X90) != esk18_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( element(esk26_4(X88,X89,X90,X99),the_carrier(X88))
| ~ in(X99,esk23_3(X88,X89,X90))
| esk17_3(X88,X89,X90) != esk18_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( in(esk26_4(X88,X89,X90,X99),X89)
| ~ in(X99,esk23_3(X88,X89,X90))
| esk17_3(X88,X89,X90) != esk18_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( relstr_set_smaller(X88,esk25_4(X88,X89,X90,X99),esk26_4(X88,X89,X90,X99))
| ~ in(X99,esk23_3(X88,X89,X90))
| esk17_3(X88,X89,X90) != esk18_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) )
& ( ~ in(X104,powerset(X90))
| X104 != X103
| X105 != X103
| ~ element(X106,the_carrier(X88))
| ~ in(X106,X89)
| ~ relstr_set_smaller(X88,X105,X106)
| in(X103,esk23_3(X88,X89,X90))
| esk17_3(X88,X89,X90) != esk18_3(X88,X89,X90)
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ rel_str(X88)
| ~ element(X89,powerset(the_carrier(X88)))
| ~ finite(X90)
| ~ element(X90,powerset(X89)) ) ),
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,
! [X60,X62,X63] :
( ~ 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(X60),X60)
| ~ in(esk4_1(X60),powerset(esk3_0))
| X62 != esk4_1(X60)
| ~ element(X63,the_carrier(esk1_0))
| ~ in(X63,esk2_0)
| ~ relstr_set_smaller(esk1_0,X62,X63) )
& ( in(esk4_1(X60),powerset(esk3_0))
| in(esk4_1(X60),X60) )
& ( esk5_1(X60) = esk4_1(X60)
| in(esk4_1(X60),X60) )
& ( element(esk6_1(X60),the_carrier(esk1_0))
| in(esk4_1(X60),X60) )
& ( in(esk6_1(X60),esk2_0)
| in(esk4_1(X60),X60) )
& ( relstr_set_smaller(esk1_0,esk5_1(X60),esk6_1(X60))
| in(esk4_1(X60),X60) ) ),
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,
element(esk2_0,powerset(the_carrier(esk1_0))),
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,
( esk16_3(esk1_0,esk2_0,X1) = esk17_3(esk1_0,esk2_0,X1)
| in(X2,esk23_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_7,c_0_8]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_13,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_14,negated_conjecture,
( in(esk6_1(X1),esk2_0)
| in(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,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_16,negated_conjecture,
( esk5_1(X1) = esk4_1(X1)
| in(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_17,negated_conjecture,
( esk16_3(esk1_0,esk2_0,X1) = esk17_3(esk1_0,esk2_0,X1)
| in(X2,esk23_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_12,c_0_13]),c_0_14]) ).
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_15,c_0_16]) ).
cnf(c_0_19,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_17,c_0_18]) ).
cnf(c_0_20,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_21,negated_conjecture,
finite(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_22,negated_conjecture,
element(esk3_0,powerset(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_23,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_24,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_19,c_0_20]),c_0_21]),c_0_22])]) ).
cnf(c_0_25,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_26,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_23])]) ).
cnf(c_0_27,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_28,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_24]) ).
cnf(c_0_29,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_30,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_25])]) ).
cnf(c_0_31,negated_conjecture,
( esk16_3(esk1_0,esk2_0,X1) = esk18_3(esk1_0,esk2_0,X1)
| in(X2,esk23_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_26,c_0_8]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_32,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_33,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0)
| in(esk24_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_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_27,c_0_28]),c_0_21]),c_0_8]),c_0_22]),c_0_9]),c_0_10])]),c_0_11]) ).
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_29,c_0_28]),c_0_21]),c_0_8]),c_0_22]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_35,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_36,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_37,negated_conjecture,
( in(X1,esk23_3(esk1_0,esk2_0,X2))
| esk18_3(esk1_0,esk2_0,X2) != esk17_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_30,c_0_8]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_38,negated_conjecture,
( esk16_3(esk1_0,esk2_0,X1) = esk18_3(esk1_0,esk2_0,X1)
| in(X2,esk23_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_31,c_0_13]),c_0_14]) ).
cnf(c_0_39,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_32]) ).
cnf(c_0_40,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(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_41,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0)
| relstr_set_smaller(esk1_0,esk25_4(esk1_0,esk2_0,esk3_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(spm,[status(thm)],[c_0_35,c_0_28]),c_0_21]),c_0_8]),c_0_22]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_42,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_36,c_0_28]),c_0_21]),c_0_8]),c_0_22]),c_0_9]),c_0_10])]),c_0_11]) ).
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,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_45,negated_conjecture,
( in(X1,esk23_3(esk1_0,esk2_0,X2))
| in(esk4_1(X3),X3)
| esk18_3(esk1_0,esk2_0,X2) != esk17_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_37,c_0_13]),c_0_14]) ).
cnf(c_0_46,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_38,c_0_18]) ).
cnf(c_0_47,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)),X1)
| ~ in(X1,esk2_0)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_28]) ).
cnf(c_0_48,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(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_49,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_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(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_43,c_0_28]),c_0_21]),c_0_8]),c_0_22]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_50,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(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_44,c_0_28]),c_0_21]),c_0_8]),c_0_22]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_51,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_45,c_0_18]) ).
cnf(c_0_52,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_46,c_0_20]),c_0_21]),c_0_22])]) ).
cnf(c_0_53,negated_conjecture,
esk16_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_50]) ).
cnf(c_0_54,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_51,c_0_20]),c_0_21]),c_0_22])]) ).
cnf(c_0_55,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_56,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_52]) ).
cnf(c_0_57,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_58,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_52,c_0_53]),c_0_54]) ).
cnf(c_0_59,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk18_3(esk1_0,esk2_0,esk3_0)
| in(esk24_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_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_55,c_0_56]),c_0_21]),c_0_8]),c_0_22]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_60,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_57,c_0_56]),c_0_21]),c_0_8]),c_0_22]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_61,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_62,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_63,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_58]) ).
cnf(c_0_64,negated_conjecture,
( esk18_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0)
| in(esk24_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))),powerset(esk3_0)) ),
inference(rw,[status(thm)],[c_0_59,c_0_53]) ).
cnf(c_0_65,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_66,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))
| esk18_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0) ),
inference(rw,[status(thm)],[c_0_60,c_0_53]) ).
cnf(c_0_67,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_61,c_0_56]),c_0_21]),c_0_8]),c_0_22]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_68,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_69,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_70,negated_conjecture,
in(esk24_4(esk1_0,esk2_0,esk3_0,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_62,c_0_63]),c_0_21]),c_0_8]),c_0_22]),c_0_9]),c_0_10])]),c_0_11]),c_0_64]) ).
cnf(c_0_71,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)),
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_65,c_0_63]),c_0_21]),c_0_8]),c_0_22]),c_0_9]),c_0_10])]),c_0_11]),c_0_66]) ).
cnf(c_0_72,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_73,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_67,c_0_53]) ).
cnf(c_0_74,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk18_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(spm,[status(thm)],[c_0_68,c_0_56]),c_0_21]),c_0_8]),c_0_22]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_75,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk18_3(esk1_0,esk2_0,esk3_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(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_69,c_0_56]),c_0_21]),c_0_8]),c_0_22]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_76,negated_conjecture,
in(esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),powerset(esk3_0)),
inference(rw,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_77,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_78,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)),
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_72,c_0_63]),c_0_21]),c_0_8]),c_0_22]),c_0_9]),c_0_10])]),c_0_11]),c_0_73]) ).
cnf(c_0_79,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_80,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(rw,[status(thm)],[c_0_74,c_0_53]) ).
cnf(c_0_81,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_82,negated_conjecture,
( esk18_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_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(rw,[status(thm)],[c_0_75,c_0_53]) ).
cnf(c_0_83,negated_conjecture,
( ~ relstr_set_smaller(esk1_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),X1)
| ~ in(X1,esk2_0)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_76]),c_0_63])]) ).
cnf(c_0_84,negated_conjecture,
( 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))))
| esk18_3(esk1_0,esk2_0,esk3_0) != esk17_3(esk1_0,esk2_0,esk3_0) ),
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_77,c_0_63]),c_0_21]),c_0_8]),c_0_22]),c_0_9]),c_0_10])]),c_0_11]),c_0_78]) ).
cnf(c_0_85,negated_conjecture,
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_79,c_0_63]),c_0_21]),c_0_8]),c_0_22]),c_0_9]),c_0_10])]),c_0_11]),c_0_80]) ).
cnf(c_0_86,negated_conjecture,
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(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_63]),c_0_21]),c_0_8]),c_0_22]),c_0_9]),c_0_10])]),c_0_11]),c_0_82]) ).
cnf(c_0_87,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_88,negated_conjecture,
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_83,c_0_84]),c_0_85]),c_0_86])]) ).
cnf(c_0_89,negated_conjecture,
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(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_63]),c_0_53]),c_0_21]),c_0_8]),c_0_22]),c_0_9]),c_0_10])]),c_0_11]),c_0_78]),c_0_88]) ).
cnf(c_0_90,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_89]),c_0_85]),c_0_86])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU364+1 : TPTP v9.2.1. Released v3.3.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n021.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 03:00:55 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 4.07/3.26 % Version : CSE_E---1.7
% 4.07/3.26 % Problem : theBenchmark.p
% 4.07/3.26 % SZS status Theorem for theBenchmark.p
% 4.07/3.26 % SZS output start CNFRefutation
% See solution above
% 4.07/3.27 % Total time : 2.373s
%------------------------------------------------------------------------------