%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU364+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:29:08 PM UTC 2026
% Result : Theorem 2.95s 0.84s
% Output : CNFRefutation 2.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 2
% Syntax : Number of formulae : 84 ( 10 unt; 0 def)
% Number of atoms : 1247 ( 173 equ)
% Maximal formula atoms : 748 ( 14 avg)
% Number of connectives : 1945 ( 782 ~; 997 |; 152 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 99 ( 8 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 : 212 ( 0 sgn 37 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s1_tarski__e11_2_1__waybel_0__1,axiom,
! [X1,X2,X3] :
( ( element(X3,powerset(X2))
& finite(X3)
& element(X2,powerset(the_carrier(X1)))
& rel_str(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1) )
=> ( ! [X4,X5,X6] :
( ( ? [X9] :
( ? [X10] :
( relstr_set_smaller(X1,X9,X10)
& in(X10,X2)
& element(X10,the_carrier(X1)) )
& X9 = X6 )
& X4 = X6
& ? [X7] :
( ? [X8] :
( relstr_set_smaller(X1,X7,X8)
& in(X8,X2)
& element(X8,the_carrier(X1)) )
& X7 = X5 )
& X4 = X5 )
=> X5 = X6 )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ? [X6] :
( ? [X11] :
( ? [X12] :
( relstr_set_smaller(X1,X11,X12)
& in(X12,X2)
& element(X12,the_carrier(X1)) )
& X11 = X5 )
& X6 = X5
& in(X6,powerset(X3)) ) ) ) ),
file('/export/starexec/sandbox/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] :
( ( element(X3,powerset(X2))
& finite(X3)
& element(X2,powerset(the_carrier(X1)))
& rel_str(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1) )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ( ? [X6] :
( ? [X7] :
( relstr_set_smaller(X1,X6,X7)
& in(X7,X2)
& element(X7,the_carrier(X1)) )
& X6 = X5 )
& in(X5,powerset(X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e11_2_1__waybel_0__1) ).
fof(c_0_2,plain,
! [X1,X2,X3] :
( ( element(X3,powerset(X2))
& finite(X3)
& element(X2,powerset(the_carrier(X1)))
& rel_str(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1) )
=> ( ! [X4,X5,X6] :
( ( ? [X9] :
( ? [X10] :
( relstr_set_smaller(X1,X9,X10)
& in(X10,X2)
& element(X10,the_carrier(X1)) )
& X9 = X6 )
& X4 = X6
& ? [X7] :
( ? [X8] :
( relstr_set_smaller(X1,X7,X8)
& in(X8,X2)
& element(X8,the_carrier(X1)) )
& X7 = X5 )
& X4 = X5 )
=> X5 = X6 )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ? [X6] :
( ? [X11] :
( ? [X12] :
( relstr_set_smaller(X1,X11,X12)
& in(X12,X2)
& element(X12,the_carrier(X1)) )
& X11 = X5 )
& X6 = X5
& in(X6,powerset(X3)) ) ) ) ),
inference(fof_simplification,[status(thm)],[s1_tarski__e11_2_1__waybel_0__1]) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2,X3] :
( ( element(X3,powerset(X2))
& finite(X3)
& element(X2,powerset(the_carrier(X1)))
& rel_str(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1) )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ( ? [X6] :
( ? [X7] :
( relstr_set_smaller(X1,X6,X7)
& in(X7,X2)
& element(X7,the_carrier(X1)) )
& X6 = X5 )
& in(X5,powerset(X3)) ) ) ),
inference(assume_negation,[status(cth)],[s1_xboole_0__e11_2_1__waybel_0__1]) ).
fof(c_0_4,plain,
! [X44,X45,X46,X55,X59,X60,X61,X62] :
( ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk17_3(X44,X45,X46) != esk18_3(X44,X45,X46)
| in(X59,esk23_3(X44,X45,X46))
| ~ relstr_set_smaller(X44,X61,X62)
| ~ in(X62,X45)
| ~ element(X62,the_carrier(X44))
| X61 != X59
| X60 != X59
| ~ in(X60,powerset(X46)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk17_3(X44,X45,X46) != esk18_3(X44,X45,X46)
| ~ in(X55,esk23_3(X44,X45,X46))
| relstr_set_smaller(X44,esk25_4(X44,X45,X46,X55),esk26_4(X44,X45,X46,X55)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk17_3(X44,X45,X46) != esk18_3(X44,X45,X46)
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk26_4(X44,X45,X46,X55),X45) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk17_3(X44,X45,X46) != esk18_3(X44,X45,X46)
| ~ in(X55,esk23_3(X44,X45,X46))
| element(esk26_4(X44,X45,X46,X55),the_carrier(X44)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk17_3(X44,X45,X46) != esk18_3(X44,X45,X46)
| ~ in(X55,esk23_3(X44,X45,X46))
| esk25_4(X44,X45,X46,X55) = X55 )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk17_3(X44,X45,X46) != esk18_3(X44,X45,X46)
| ~ in(X55,esk23_3(X44,X45,X46))
| esk24_4(X44,X45,X46,X55) = X55 )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk17_3(X44,X45,X46) != esk18_3(X44,X45,X46)
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk24_4(X44,X45,X46,X55),powerset(X46)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| relstr_set_smaller(X44,esk21_3(X44,X45,X46),esk22_3(X44,X45,X46))
| in(X59,esk23_3(X44,X45,X46))
| ~ relstr_set_smaller(X44,X61,X62)
| ~ in(X62,X45)
| ~ element(X62,the_carrier(X44))
| X61 != X59
| X60 != X59
| ~ in(X60,powerset(X46)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| relstr_set_smaller(X44,esk21_3(X44,X45,X46),esk22_3(X44,X45,X46))
| ~ in(X55,esk23_3(X44,X45,X46))
| relstr_set_smaller(X44,esk25_4(X44,X45,X46,X55),esk26_4(X44,X45,X46,X55)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| relstr_set_smaller(X44,esk21_3(X44,X45,X46),esk22_3(X44,X45,X46))
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk26_4(X44,X45,X46,X55),X45) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| relstr_set_smaller(X44,esk21_3(X44,X45,X46),esk22_3(X44,X45,X46))
| ~ in(X55,esk23_3(X44,X45,X46))
| element(esk26_4(X44,X45,X46,X55),the_carrier(X44)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| relstr_set_smaller(X44,esk21_3(X44,X45,X46),esk22_3(X44,X45,X46))
| ~ in(X55,esk23_3(X44,X45,X46))
| esk25_4(X44,X45,X46,X55) = X55 )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| relstr_set_smaller(X44,esk21_3(X44,X45,X46),esk22_3(X44,X45,X46))
| ~ in(X55,esk23_3(X44,X45,X46))
| esk24_4(X44,X45,X46,X55) = X55 )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| relstr_set_smaller(X44,esk21_3(X44,X45,X46),esk22_3(X44,X45,X46))
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk24_4(X44,X45,X46,X55),powerset(X46)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| in(esk22_3(X44,X45,X46),X45)
| in(X59,esk23_3(X44,X45,X46))
| ~ relstr_set_smaller(X44,X61,X62)
| ~ in(X62,X45)
| ~ element(X62,the_carrier(X44))
| X61 != X59
| X60 != X59
| ~ in(X60,powerset(X46)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| in(esk22_3(X44,X45,X46),X45)
| ~ in(X55,esk23_3(X44,X45,X46))
| relstr_set_smaller(X44,esk25_4(X44,X45,X46,X55),esk26_4(X44,X45,X46,X55)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| in(esk22_3(X44,X45,X46),X45)
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk26_4(X44,X45,X46,X55),X45) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| in(esk22_3(X44,X45,X46),X45)
| ~ in(X55,esk23_3(X44,X45,X46))
| element(esk26_4(X44,X45,X46,X55),the_carrier(X44)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| in(esk22_3(X44,X45,X46),X45)
| ~ in(X55,esk23_3(X44,X45,X46))
| esk25_4(X44,X45,X46,X55) = X55 )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| in(esk22_3(X44,X45,X46),X45)
| ~ in(X55,esk23_3(X44,X45,X46))
| esk24_4(X44,X45,X46,X55) = X55 )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| in(esk22_3(X44,X45,X46),X45)
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk24_4(X44,X45,X46,X55),powerset(X46)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| element(esk22_3(X44,X45,X46),the_carrier(X44))
| in(X59,esk23_3(X44,X45,X46))
| ~ relstr_set_smaller(X44,X61,X62)
| ~ in(X62,X45)
| ~ element(X62,the_carrier(X44))
| X61 != X59
| X60 != X59
| ~ in(X60,powerset(X46)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| element(esk22_3(X44,X45,X46),the_carrier(X44))
| ~ in(X55,esk23_3(X44,X45,X46))
| relstr_set_smaller(X44,esk25_4(X44,X45,X46,X55),esk26_4(X44,X45,X46,X55)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| element(esk22_3(X44,X45,X46),the_carrier(X44))
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk26_4(X44,X45,X46,X55),X45) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| element(esk22_3(X44,X45,X46),the_carrier(X44))
| ~ in(X55,esk23_3(X44,X45,X46))
| element(esk26_4(X44,X45,X46,X55),the_carrier(X44)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| element(esk22_3(X44,X45,X46),the_carrier(X44))
| ~ in(X55,esk23_3(X44,X45,X46))
| esk25_4(X44,X45,X46,X55) = X55 )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| element(esk22_3(X44,X45,X46),the_carrier(X44))
| ~ in(X55,esk23_3(X44,X45,X46))
| esk24_4(X44,X45,X46,X55) = X55 )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| element(esk22_3(X44,X45,X46),the_carrier(X44))
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk24_4(X44,X45,X46,X55),powerset(X46)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk21_3(X44,X45,X46) = esk18_3(X44,X45,X46)
| in(X59,esk23_3(X44,X45,X46))
| ~ relstr_set_smaller(X44,X61,X62)
| ~ in(X62,X45)
| ~ element(X62,the_carrier(X44))
| X61 != X59
| X60 != X59
| ~ in(X60,powerset(X46)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk21_3(X44,X45,X46) = esk18_3(X44,X45,X46)
| ~ in(X55,esk23_3(X44,X45,X46))
| relstr_set_smaller(X44,esk25_4(X44,X45,X46,X55),esk26_4(X44,X45,X46,X55)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk21_3(X44,X45,X46) = esk18_3(X44,X45,X46)
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk26_4(X44,X45,X46,X55),X45) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk21_3(X44,X45,X46) = esk18_3(X44,X45,X46)
| ~ in(X55,esk23_3(X44,X45,X46))
| element(esk26_4(X44,X45,X46,X55),the_carrier(X44)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk21_3(X44,X45,X46) = esk18_3(X44,X45,X46)
| ~ in(X55,esk23_3(X44,X45,X46))
| esk25_4(X44,X45,X46,X55) = X55 )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk21_3(X44,X45,X46) = esk18_3(X44,X45,X46)
| ~ in(X55,esk23_3(X44,X45,X46))
| esk24_4(X44,X45,X46,X55) = X55 )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk21_3(X44,X45,X46) = esk18_3(X44,X45,X46)
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk24_4(X44,X45,X46,X55),powerset(X46)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk16_3(X44,X45,X46) = esk18_3(X44,X45,X46)
| in(X59,esk23_3(X44,X45,X46))
| ~ relstr_set_smaller(X44,X61,X62)
| ~ in(X62,X45)
| ~ element(X62,the_carrier(X44))
| X61 != X59
| X60 != X59
| ~ in(X60,powerset(X46)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk16_3(X44,X45,X46) = esk18_3(X44,X45,X46)
| ~ in(X55,esk23_3(X44,X45,X46))
| relstr_set_smaller(X44,esk25_4(X44,X45,X46,X55),esk26_4(X44,X45,X46,X55)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk16_3(X44,X45,X46) = esk18_3(X44,X45,X46)
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk26_4(X44,X45,X46,X55),X45) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk16_3(X44,X45,X46) = esk18_3(X44,X45,X46)
| ~ in(X55,esk23_3(X44,X45,X46))
| element(esk26_4(X44,X45,X46,X55),the_carrier(X44)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk16_3(X44,X45,X46) = esk18_3(X44,X45,X46)
| ~ in(X55,esk23_3(X44,X45,X46))
| esk25_4(X44,X45,X46,X55) = X55 )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk16_3(X44,X45,X46) = esk18_3(X44,X45,X46)
| ~ in(X55,esk23_3(X44,X45,X46))
| esk24_4(X44,X45,X46,X55) = X55 )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk16_3(X44,X45,X46) = esk18_3(X44,X45,X46)
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk24_4(X44,X45,X46,X55),powerset(X46)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| relstr_set_smaller(X44,esk19_3(X44,X45,X46),esk20_3(X44,X45,X46))
| in(X59,esk23_3(X44,X45,X46))
| ~ relstr_set_smaller(X44,X61,X62)
| ~ in(X62,X45)
| ~ element(X62,the_carrier(X44))
| X61 != X59
| X60 != X59
| ~ in(X60,powerset(X46)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| relstr_set_smaller(X44,esk19_3(X44,X45,X46),esk20_3(X44,X45,X46))
| ~ in(X55,esk23_3(X44,X45,X46))
| relstr_set_smaller(X44,esk25_4(X44,X45,X46,X55),esk26_4(X44,X45,X46,X55)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| relstr_set_smaller(X44,esk19_3(X44,X45,X46),esk20_3(X44,X45,X46))
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk26_4(X44,X45,X46,X55),X45) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| relstr_set_smaller(X44,esk19_3(X44,X45,X46),esk20_3(X44,X45,X46))
| ~ in(X55,esk23_3(X44,X45,X46))
| element(esk26_4(X44,X45,X46,X55),the_carrier(X44)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| relstr_set_smaller(X44,esk19_3(X44,X45,X46),esk20_3(X44,X45,X46))
| ~ in(X55,esk23_3(X44,X45,X46))
| esk25_4(X44,X45,X46,X55) = X55 )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| relstr_set_smaller(X44,esk19_3(X44,X45,X46),esk20_3(X44,X45,X46))
| ~ in(X55,esk23_3(X44,X45,X46))
| esk24_4(X44,X45,X46,X55) = X55 )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| relstr_set_smaller(X44,esk19_3(X44,X45,X46),esk20_3(X44,X45,X46))
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk24_4(X44,X45,X46,X55),powerset(X46)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| in(esk20_3(X44,X45,X46),X45)
| in(X59,esk23_3(X44,X45,X46))
| ~ relstr_set_smaller(X44,X61,X62)
| ~ in(X62,X45)
| ~ element(X62,the_carrier(X44))
| X61 != X59
| X60 != X59
| ~ in(X60,powerset(X46)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| in(esk20_3(X44,X45,X46),X45)
| ~ in(X55,esk23_3(X44,X45,X46))
| relstr_set_smaller(X44,esk25_4(X44,X45,X46,X55),esk26_4(X44,X45,X46,X55)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| in(esk20_3(X44,X45,X46),X45)
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk26_4(X44,X45,X46,X55),X45) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| in(esk20_3(X44,X45,X46),X45)
| ~ in(X55,esk23_3(X44,X45,X46))
| element(esk26_4(X44,X45,X46,X55),the_carrier(X44)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| in(esk20_3(X44,X45,X46),X45)
| ~ in(X55,esk23_3(X44,X45,X46))
| esk25_4(X44,X45,X46,X55) = X55 )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| in(esk20_3(X44,X45,X46),X45)
| ~ in(X55,esk23_3(X44,X45,X46))
| esk24_4(X44,X45,X46,X55) = X55 )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| in(esk20_3(X44,X45,X46),X45)
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk24_4(X44,X45,X46,X55),powerset(X46)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| element(esk20_3(X44,X45,X46),the_carrier(X44))
| in(X59,esk23_3(X44,X45,X46))
| ~ relstr_set_smaller(X44,X61,X62)
| ~ in(X62,X45)
| ~ element(X62,the_carrier(X44))
| X61 != X59
| X60 != X59
| ~ in(X60,powerset(X46)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| element(esk20_3(X44,X45,X46),the_carrier(X44))
| ~ in(X55,esk23_3(X44,X45,X46))
| relstr_set_smaller(X44,esk25_4(X44,X45,X46,X55),esk26_4(X44,X45,X46,X55)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| element(esk20_3(X44,X45,X46),the_carrier(X44))
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk26_4(X44,X45,X46,X55),X45) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| element(esk20_3(X44,X45,X46),the_carrier(X44))
| ~ in(X55,esk23_3(X44,X45,X46))
| element(esk26_4(X44,X45,X46,X55),the_carrier(X44)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| element(esk20_3(X44,X45,X46),the_carrier(X44))
| ~ in(X55,esk23_3(X44,X45,X46))
| esk25_4(X44,X45,X46,X55) = X55 )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| element(esk20_3(X44,X45,X46),the_carrier(X44))
| ~ in(X55,esk23_3(X44,X45,X46))
| esk24_4(X44,X45,X46,X55) = X55 )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| element(esk20_3(X44,X45,X46),the_carrier(X44))
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk24_4(X44,X45,X46,X55),powerset(X46)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk19_3(X44,X45,X46) = esk17_3(X44,X45,X46)
| in(X59,esk23_3(X44,X45,X46))
| ~ relstr_set_smaller(X44,X61,X62)
| ~ in(X62,X45)
| ~ element(X62,the_carrier(X44))
| X61 != X59
| X60 != X59
| ~ in(X60,powerset(X46)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk19_3(X44,X45,X46) = esk17_3(X44,X45,X46)
| ~ in(X55,esk23_3(X44,X45,X46))
| relstr_set_smaller(X44,esk25_4(X44,X45,X46,X55),esk26_4(X44,X45,X46,X55)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk19_3(X44,X45,X46) = esk17_3(X44,X45,X46)
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk26_4(X44,X45,X46,X55),X45) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk19_3(X44,X45,X46) = esk17_3(X44,X45,X46)
| ~ in(X55,esk23_3(X44,X45,X46))
| element(esk26_4(X44,X45,X46,X55),the_carrier(X44)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk19_3(X44,X45,X46) = esk17_3(X44,X45,X46)
| ~ in(X55,esk23_3(X44,X45,X46))
| esk25_4(X44,X45,X46,X55) = X55 )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk19_3(X44,X45,X46) = esk17_3(X44,X45,X46)
| ~ in(X55,esk23_3(X44,X45,X46))
| esk24_4(X44,X45,X46,X55) = X55 )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk19_3(X44,X45,X46) = esk17_3(X44,X45,X46)
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk24_4(X44,X45,X46,X55),powerset(X46)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk16_3(X44,X45,X46) = esk17_3(X44,X45,X46)
| in(X59,esk23_3(X44,X45,X46))
| ~ relstr_set_smaller(X44,X61,X62)
| ~ in(X62,X45)
| ~ element(X62,the_carrier(X44))
| X61 != X59
| X60 != X59
| ~ in(X60,powerset(X46)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk16_3(X44,X45,X46) = esk17_3(X44,X45,X46)
| ~ in(X55,esk23_3(X44,X45,X46))
| relstr_set_smaller(X44,esk25_4(X44,X45,X46,X55),esk26_4(X44,X45,X46,X55)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk16_3(X44,X45,X46) = esk17_3(X44,X45,X46)
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk26_4(X44,X45,X46,X55),X45) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk16_3(X44,X45,X46) = esk17_3(X44,X45,X46)
| ~ in(X55,esk23_3(X44,X45,X46))
| element(esk26_4(X44,X45,X46,X55),the_carrier(X44)) )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk16_3(X44,X45,X46) = esk17_3(X44,X45,X46)
| ~ in(X55,esk23_3(X44,X45,X46))
| esk25_4(X44,X45,X46,X55) = X55 )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk16_3(X44,X45,X46) = esk17_3(X44,X45,X46)
| ~ in(X55,esk23_3(X44,X45,X46))
| esk24_4(X44,X45,X46,X55) = X55 )
& ( ~ element(X46,powerset(X45))
| ~ finite(X46)
| ~ element(X45,powerset(the_carrier(X44)))
| ~ rel_str(X44)
| ~ transitive_relstr(X44)
| empty_carrier(X44)
| esk16_3(X44,X45,X46) = esk17_3(X44,X45,X46)
| ~ in(X55,esk23_3(X44,X45,X46))
| in(esk24_4(X44,X45,X46,X55),powerset(X46)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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_5,negated_conjecture,
~ ! [X1,X2,X3] :
( ( element(X3,powerset(X2))
& finite(X3)
& element(X2,powerset(the_carrier(X1)))
& rel_str(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1) )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ( ? [X6] :
( ? [X7] :
( relstr_set_smaller(X1,X6,X7)
& in(X7,X2)
& element(X7,the_carrier(X1)) )
& X6 = X5 )
& in(X5,powerset(X3)) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( ~ element(X2,powerset(X7))
| ~ finite(X2)
| ~ element(X7,powerset(the_carrier(X6)))
| ~ rel_str(X6)
| ~ transitive_relstr(X6)
| ~ relstr_set_smaller(X6,X4,X5)
| ~ in(X5,X7)
| ~ element(X5,the_carrier(X6))
| X4 != X3
| X1 != X3
| ~ in(X1,powerset(X2))
| empty_carrier(X6)
| esk16_3(X6,X7,X2) = esk17_3(X6,X7,X2)
| in(X3,esk23_3(X6,X7,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_7,negated_conjecture,
! [X16,X18,X19] :
( ( in(esk4_1(X16),X16)
| relstr_set_smaller(esk1_0,esk5_1(X16),esk6_1(X16)) )
& ( in(esk4_1(X16),X16)
| in(esk6_1(X16),esk2_0) )
& ( in(esk4_1(X16),X16)
| element(esk6_1(X16),the_carrier(esk1_0)) )
& ( in(esk4_1(X16),X16)
| esk5_1(X16) = esk4_1(X16) )
& ( in(esk4_1(X16),X16)
| in(esk4_1(X16),powerset(esk3_0)) )
& ( ~ relstr_set_smaller(esk1_0,X18,X19)
| ~ in(X19,esk2_0)
| ~ element(X19,the_carrier(esk1_0))
| X18 != esk4_1(X16)
| ~ in(esk4_1(X16),powerset(esk3_0))
| ~ in(esk4_1(X16),X16) )
& element(esk3_0,powerset(esk2_0))
& finite(esk3_0)
& element(esk2_0,powerset(the_carrier(esk1_0)))
& rel_str(esk1_0)
& transitive_relstr(esk1_0)
& ~ empty_carrier(esk1_0) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])]) ).
cnf(c_0_8,plain,
( ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X3,powerset(X2))
| ~ element(X5,the_carrier(X1))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ finite(X3)
| ~ in(X5,X2)
| ~ in(X4,powerset(X3))
| ~ relstr_set_smaller(X1,X4,X5)
| empty_carrier(X1)
| in(X4,esk23_3(X1,X2,X3))
| esk16_3(X1,X2,X3) = esk17_3(X1,X2,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_6])]) ).
cnf(c_0_9,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_7]) ).
cnf(c_0_10,negated_conjecture,
rel_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
transitive_relstr(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
~ empty_carrier(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
( in(esk4_1(X1),X1)
| element(esk6_1(X1),the_carrier(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
( ~ element(X2,powerset(X1))
| ~ element(X1,powerset(the_carrier(esk1_0)))
| ~ finite(X2)
| ~ in(esk6_1(X3),X1)
| ~ in(esk5_1(X3),powerset(X2))
| in(esk4_1(X3),X3)
| in(esk5_1(X3),esk23_3(esk1_0,X1,X2))
| esk16_3(esk1_0,X1,X2) = esk17_3(esk1_0,X1,X2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_11])]),c_0_12]),c_0_13]) ).
cnf(c_0_15,negated_conjecture,
element(esk2_0,powerset(the_carrier(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk6_1(X1),esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_17,negated_conjecture,
( ~ element(X1,powerset(esk2_0))
| ~ finite(X1)
| ~ in(esk5_1(X2),powerset(X1))
| in(esk4_1(X2),X2)
| in(esk5_1(X2),esk23_3(esk1_0,esk2_0,X1))
| esk16_3(esk1_0,esk2_0,X1) = esk17_3(esk1_0,esk2_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_18,negated_conjecture,
( in(esk4_1(X1),X1)
| esk5_1(X1) = esk4_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,negated_conjecture,
( ~ element(X1,powerset(esk2_0))
| ~ finite(X1)
| ~ in(esk4_1(X2),powerset(X1))
| in(esk4_1(X2),X2)
| in(esk4_1(X2),esk23_3(esk1_0,esk2_0,X1))
| esk16_3(esk1_0,esk2_0,X1) = esk17_3(esk1_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk4_1(X1),powerset(esk3_0)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_21,negated_conjecture,
finite(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_22,negated_conjecture,
element(esk3_0,powerset(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_23,plain,
( ~ element(X2,powerset(X7))
| ~ finite(X2)
| ~ element(X7,powerset(the_carrier(X6)))
| ~ rel_str(X6)
| ~ transitive_relstr(X6)
| ~ relstr_set_smaller(X6,X4,X5)
| ~ in(X5,X7)
| ~ element(X5,the_carrier(X6))
| X4 != X3
| X1 != X3
| ~ in(X1,powerset(X2))
| empty_carrier(X6)
| esk16_3(X6,X7,X2) = esk18_3(X6,X7,X2)
| in(X3,esk23_3(X6,X7,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_24,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk4_1(X1),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(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,
( ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X3,powerset(X2))
| ~ element(X5,the_carrier(X1))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ finite(X3)
| ~ in(X5,X2)
| ~ in(X4,powerset(X3))
| ~ relstr_set_smaller(X1,X4,X5)
| empty_carrier(X1)
| in(X4,esk23_3(X1,X2,X3))
| esk16_3(X1,X2,X3) = esk18_3(X1,X2,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_23])]) ).
cnf(c_0_26,plain,
( ~ element(X3,powerset(X2))
| ~ finite(X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ rel_str(X1)
| ~ transitive_relstr(X1)
| ~ in(X4,esk23_3(X1,X2,X3))
| empty_carrier(X1)
| esk16_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| esk25_4(X1,X2,X3,X4) = X4 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_27,negated_conjecture,
( in(esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),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(ef,[status(thm)],[c_0_24]) ).
cnf(c_0_28,plain,
( ~ element(X3,powerset(X2))
| ~ finite(X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ rel_str(X1)
| ~ transitive_relstr(X1)
| ~ in(X4,esk23_3(X1,X2,X3))
| empty_carrier(X1)
| esk16_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| esk24_4(X1,X2,X3,X4) = X4 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_29,plain,
( ~ element(X2,powerset(X7))
| ~ finite(X2)
| ~ element(X7,powerset(the_carrier(X6)))
| ~ rel_str(X6)
| ~ transitive_relstr(X6)
| esk17_3(X6,X7,X2) != esk18_3(X6,X7,X2)
| ~ relstr_set_smaller(X6,X4,X5)
| ~ in(X5,X7)
| ~ element(X5,the_carrier(X6))
| X4 != X3
| X1 != X3
| ~ in(X1,powerset(X2))
| empty_carrier(X6)
| in(X3,esk23_3(X6,X7,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_30,negated_conjecture,
( ~ element(X2,powerset(X1))
| ~ element(X1,powerset(the_carrier(esk1_0)))
| ~ finite(X2)
| ~ in(esk6_1(X3),X1)
| ~ in(esk5_1(X3),powerset(X2))
| in(esk4_1(X3),X3)
| in(esk5_1(X3),esk23_3(esk1_0,X1,X2))
| esk16_3(esk1_0,X1,X2) = esk18_3(esk1_0,X1,X2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_9]),c_0_10]),c_0_11])]),c_0_12]),c_0_13]) ).
cnf(c_0_31,negated_conjecture,
( ~ relstr_set_smaller(esk1_0,X2,X3)
| ~ in(X3,esk2_0)
| ~ element(X3,the_carrier(esk1_0))
| X2 != esk4_1(X1)
| ~ in(esk4_1(X1),powerset(esk3_0))
| ~ in(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_32,plain,
( ~ element(X3,powerset(X2))
| ~ finite(X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ rel_str(X1)
| ~ transitive_relstr(X1)
| ~ in(X4,esk23_3(X1,X2,X3))
| empty_carrier(X1)
| esk16_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| relstr_set_smaller(X1,esk25_4(X1,X2,X3,X4),esk26_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_33,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0)
| 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(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_26,c_0_27]),c_0_21]),c_0_15]),c_0_22]),c_0_10]),c_0_11])]),c_0_12]) ).
cnf(c_0_34,plain,
( ~ element(X3,powerset(X2))
| ~ finite(X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ rel_str(X1)
| ~ transitive_relstr(X1)
| ~ in(X4,esk23_3(X1,X2,X3))
| empty_carrier(X1)
| esk16_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| in(esk24_4(X1,X2,X3,X4),powerset(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_35,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0)
| 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(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_27]),c_0_21]),c_0_15]),c_0_22]),c_0_10]),c_0_11])]),c_0_12]) ).
cnf(c_0_36,plain,
( ~ transitive_relstr(X2)
| ~ rel_str(X2)
| ~ element(X4,powerset(X3))
| ~ element(X5,the_carrier(X2))
| ~ element(X3,powerset(the_carrier(X2)))
| ~ finite(X4)
| ~ in(X5,X3)
| ~ in(X1,powerset(X4))
| ~ relstr_set_smaller(X2,X1,X5)
| esk18_3(X2,X3,X4) != esk17_3(X2,X3,X4)
| empty_carrier(X2)
| in(X1,esk23_3(X2,X3,X4)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_29])]) ).
cnf(c_0_37,negated_conjecture,
( ~ element(X1,powerset(esk2_0))
| ~ finite(X1)
| ~ in(esk5_1(X2),powerset(X1))
| in(esk4_1(X2),X2)
| in(esk5_1(X2),esk23_3(esk1_0,esk2_0,X1))
| esk16_3(esk1_0,esk2_0,X1) = esk18_3(esk1_0,esk2_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_15]),c_0_16]) ).
cnf(c_0_38,negated_conjecture,
( ~ element(X2,the_carrier(esk1_0))
| ~ in(X2,esk2_0)
| ~ in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),powerset(esk3_0))
| ~ relstr_set_smaller(esk1_0,esk4_1(X1),X2) ),
inference(er,[status(thm)],[c_0_31]) ).
cnf(c_0_39,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))))
| esk16_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_21]),c_0_15]),c_0_22]),c_0_10]),c_0_11])]),c_0_12]),c_0_27]) ).
cnf(c_0_40,negated_conjecture,
( in(esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),powerset(esk3_0))
| esk16_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_21]),c_0_15]),c_0_22]),c_0_10]),c_0_11])]),c_0_12]),c_0_27]) ).
cnf(c_0_41,negated_conjecture,
( ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(esk1_0)))
| ~ finite(X3)
| ~ in(esk6_1(X1),X2)
| ~ in(esk5_1(X1),powerset(X3))
| esk18_3(esk1_0,X2,X3) != esk17_3(esk1_0,X2,X3)
| in(esk4_1(X1),X1)
| in(esk5_1(X1),esk23_3(esk1_0,X2,X3)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_9]),c_0_10]),c_0_11])]),c_0_12]),c_0_13]) ).
cnf(c_0_42,negated_conjecture,
( ~ element(X1,powerset(esk2_0))
| ~ finite(X1)
| ~ in(esk4_1(X2),powerset(X1))
| in(esk4_1(X2),X2)
| in(esk4_1(X2),esk23_3(esk1_0,esk2_0,X1))
| esk16_3(esk1_0,esk2_0,X1) = esk18_3(esk1_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_18]) ).
cnf(c_0_43,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))
| ~ in(esk26_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))),esk2_0)
| 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_38,c_0_39]),c_0_40]),c_0_27]) ).
cnf(c_0_44,plain,
( ~ element(X3,powerset(X2))
| ~ finite(X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ rel_str(X1)
| ~ transitive_relstr(X1)
| ~ in(X4,esk23_3(X1,X2,X3))
| empty_carrier(X1)
| esk16_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| element(esk26_4(X1,X2,X3,X4),the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_45,negated_conjecture,
( ~ element(X2,powerset(esk2_0))
| ~ finite(X2)
| ~ in(esk5_1(X1),powerset(X2))
| esk18_3(esk1_0,esk2_0,X2) != esk17_3(esk1_0,esk2_0,X2)
| in(esk4_1(X1),X1)
| in(esk5_1(X1),esk23_3(esk1_0,esk2_0,X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_15]),c_0_16]) ).
cnf(c_0_46,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk4_1(X1),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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_20]),c_0_21]),c_0_22])]) ).
cnf(c_0_47,negated_conjecture,
( ~ in(esk26_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))),esk2_0)
| esk16_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_21]),c_0_15]),c_0_22]),c_0_10]),c_0_11])]),c_0_12]),c_0_27]) ).
cnf(c_0_48,plain,
( ~ element(X3,powerset(X2))
| ~ finite(X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ rel_str(X1)
| ~ transitive_relstr(X1)
| ~ in(X4,esk23_3(X1,X2,X3))
| empty_carrier(X1)
| esk16_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| in(esk26_4(X1,X2,X3,X4),X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_49,negated_conjecture,
( ~ element(X2,powerset(esk2_0))
| ~ finite(X2)
| ~ in(esk4_1(X1),powerset(X2))
| esk18_3(esk1_0,esk2_0,X2) != esk17_3(esk1_0,esk2_0,X2)
| in(esk4_1(X1),X1)
| in(esk4_1(X1),esk23_3(esk1_0,esk2_0,X2)) ),
inference(spm,[status(thm)],[c_0_45,c_0_18]) ).
cnf(c_0_50,plain,
( ~ element(X3,powerset(X2))
| ~ finite(X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ rel_str(X1)
| ~ transitive_relstr(X1)
| ~ in(X4,esk23_3(X1,X2,X3))
| empty_carrier(X1)
| esk16_3(X1,X2,X3) = esk18_3(X1,X2,X3)
| esk25_4(X1,X2,X3,X4) = X4 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_51,negated_conjecture,
( in(esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),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(ef,[status(thm)],[c_0_46]) ).
cnf(c_0_52,negated_conjecture,
esk16_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_21]),c_0_15]),c_0_22]),c_0_10]),c_0_11])]),c_0_12]),c_0_27]) ).
cnf(c_0_53,negated_conjecture,
( esk18_3(esk1_0,esk2_0,esk3_0) != esk17_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),X1)
| in(esk4_1(X1),esk23_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_49,c_0_20]),c_0_21]),c_0_22])]) ).
cnf(c_0_54,plain,
( ~ element(X3,powerset(X2))
| ~ finite(X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ rel_str(X1)
| ~ transitive_relstr(X1)
| ~ in(X4,esk23_3(X1,X2,X3))
| empty_carrier(X1)
| esk16_3(X1,X2,X3) = esk18_3(X1,X2,X3)
| esk24_4(X1,X2,X3,X4) = X4 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_55,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk18_3(esk1_0,esk2_0,esk3_0)
| 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(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_21]),c_0_15]),c_0_22]),c_0_10]),c_0_11])]),c_0_12]) ).
cnf(c_0_56,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk4_1(X1),esk23_3(esk1_0,esk2_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_52]),c_0_53]) ).
cnf(c_0_57,plain,
( ~ element(X3,powerset(X2))
| ~ finite(X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ rel_str(X1)
| ~ transitive_relstr(X1)
| ~ in(X4,esk23_3(X1,X2,X3))
| empty_carrier(X1)
| esk16_3(X1,X2,X3) = esk18_3(X1,X2,X3)
| in(esk24_4(X1,X2,X3,X4),powerset(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_58,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk18_3(esk1_0,esk2_0,esk3_0)
| 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(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_54,c_0_51]),c_0_21]),c_0_15]),c_0_22]),c_0_10]),c_0_11])]),c_0_12]) ).
cnf(c_0_59,plain,
( ~ element(X3,powerset(X2))
| ~ finite(X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ rel_str(X1)
| ~ transitive_relstr(X1)
| ~ in(X4,esk23_3(X1,X2,X3))
| empty_carrier(X1)
| esk16_3(X1,X2,X3) = esk18_3(X1,X2,X3)
| relstr_set_smaller(X1,esk25_4(X1,X2,X3,X4),esk26_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_60,negated_conjecture,
( esk18_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0)
| 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(rw,[status(thm)],[c_0_55,c_0_52]) ).
cnf(c_0_61,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_56]) ).
cnf(c_0_62,negated_conjecture,
( in(esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),powerset(esk3_0))
| esk16_3(esk1_0,esk2_0,esk3_0) = esk18_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_57,c_0_58]),c_0_21]),c_0_15]),c_0_22]),c_0_10]),c_0_11])]),c_0_12]),c_0_51]) ).
cnf(c_0_63,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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_52]),c_0_61]),c_0_21]),c_0_15]),c_0_22]),c_0_10]),c_0_11])]),c_0_12]) ).
cnf(c_0_64,negated_conjecture,
( in(esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),powerset(esk3_0))
| esk18_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0) ),
inference(rw,[status(thm)],[c_0_62,c_0_52]) ).
cnf(c_0_65,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))
| ~ in(esk26_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))),esk2_0)
| esk18_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_63]),c_0_61])]),c_0_64]) ).
cnf(c_0_66,plain,
( ~ element(X3,powerset(X2))
| ~ finite(X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ rel_str(X1)
| ~ transitive_relstr(X1)
| ~ in(X4,esk23_3(X1,X2,X3))
| empty_carrier(X1)
| esk16_3(X1,X2,X3) = esk18_3(X1,X2,X3)
| element(esk26_4(X1,X2,X3,X4),the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_67,negated_conjecture,
( ~ in(esk26_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))),esk2_0)
| esk18_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_52]),c_0_61]),c_0_21]),c_0_15]),c_0_22]),c_0_10]),c_0_11])]),c_0_12]) ).
cnf(c_0_68,plain,
( ~ element(X3,powerset(X2))
| ~ finite(X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ rel_str(X1)
| ~ transitive_relstr(X1)
| ~ in(X4,esk23_3(X1,X2,X3))
| empty_carrier(X1)
| esk16_3(X1,X2,X3) = esk18_3(X1,X2,X3)
| in(esk26_4(X1,X2,X3,X4),X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_69,plain,
( ~ element(X3,powerset(X2))
| ~ finite(X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ rel_str(X1)
| ~ transitive_relstr(X1)
| esk17_3(X1,X2,X3) != esk18_3(X1,X2,X3)
| ~ in(X4,esk23_3(X1,X2,X3))
| empty_carrier(X1)
| esk25_4(X1,X2,X3,X4) = X4 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_70,negated_conjecture,
esk18_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_52]),c_0_61]),c_0_21]),c_0_15]),c_0_22]),c_0_10]),c_0_11])]),c_0_12]) ).
cnf(c_0_71,plain,
( ~ element(X3,powerset(X2))
| ~ finite(X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ rel_str(X1)
| ~ transitive_relstr(X1)
| esk17_3(X1,X2,X3) != esk18_3(X1,X2,X3)
| ~ in(X4,esk23_3(X1,X2,X3))
| empty_carrier(X1)
| esk24_4(X1,X2,X3,X4) = X4 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_72,plain,
( ~ element(X3,powerset(X2))
| ~ finite(X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ rel_str(X1)
| ~ transitive_relstr(X1)
| esk17_3(X1,X2,X3) != esk18_3(X1,X2,X3)
| ~ in(X4,esk23_3(X1,X2,X3))
| empty_carrier(X1)
| relstr_set_smaller(X1,esk25_4(X1,X2,X3,X4),esk26_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_73,negated_conjecture,
( ~ in(X1,esk23_3(esk1_0,esk2_0,esk3_0))
| esk25_4(esk1_0,esk2_0,esk3_0,X1) = X1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_21]),c_0_15]),c_0_22]),c_0_10]),c_0_11])]),c_0_12]) ).
cnf(c_0_74,plain,
( ~ element(X3,powerset(X2))
| ~ finite(X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ rel_str(X1)
| ~ transitive_relstr(X1)
| esk17_3(X1,X2,X3) != esk18_3(X1,X2,X3)
| ~ in(X4,esk23_3(X1,X2,X3))
| empty_carrier(X1)
| in(esk24_4(X1,X2,X3,X4),powerset(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_75,negated_conjecture,
( ~ in(X1,esk23_3(esk1_0,esk2_0,esk3_0))
| esk24_4(esk1_0,esk2_0,esk3_0,X1) = X1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_70]),c_0_21]),c_0_15]),c_0_22]),c_0_10]),c_0_11])]),c_0_12]) ).
cnf(c_0_76,negated_conjecture,
( ~ in(X1,esk23_3(esk1_0,esk2_0,esk3_0))
| relstr_set_smaller(esk1_0,X1,esk26_4(esk1_0,esk2_0,esk3_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_70]),c_0_21]),c_0_15]),c_0_22]),c_0_10]),c_0_11])]),c_0_12]) ).
cnf(c_0_77,negated_conjecture,
( ~ in(X1,esk23_3(esk1_0,esk2_0,esk3_0))
| in(X1,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_70]),c_0_21]),c_0_15]),c_0_22]),c_0_10]),c_0_11])]),c_0_12]) ).
cnf(c_0_78,negated_conjecture,
( ~ element(esk26_4(esk1_0,esk2_0,esk3_0,esk4_1(X1)),the_carrier(esk1_0))
| ~ in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),esk23_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk26_4(esk1_0,esk2_0,esk3_0,esk4_1(X1)),esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_76]),c_0_77]) ).
cnf(c_0_79,plain,
( ~ element(X3,powerset(X2))
| ~ finite(X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ rel_str(X1)
| ~ transitive_relstr(X1)
| esk17_3(X1,X2,X3) != esk18_3(X1,X2,X3)
| ~ in(X4,esk23_3(X1,X2,X3))
| empty_carrier(X1)
| element(esk26_4(X1,X2,X3,X4),the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_80,negated_conjecture,
( ~ in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),esk23_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk26_4(esk1_0,esk2_0,esk3_0,esk4_1(X1)),esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_70]),c_0_21]),c_0_15]),c_0_22]),c_0_10]),c_0_11])]),c_0_12]) ).
cnf(c_0_81,plain,
( ~ element(X3,powerset(X2))
| ~ finite(X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ rel_str(X1)
| ~ transitive_relstr(X1)
| esk17_3(X1,X2,X3) != esk18_3(X1,X2,X3)
| ~ in(X4,esk23_3(X1,X2,X3))
| empty_carrier(X1)
| in(esk26_4(X1,X2,X3,X4),X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_82,negated_conjecture,
( ~ in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),esk23_3(esk1_0,esk2_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_70]),c_0_21]),c_0_15]),c_0_22]),c_0_10]),c_0_11])]),c_0_12]) ).
cnf(c_0_83,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_61]),c_0_61])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU364+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n006.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 06:15:27 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.95/0.84 % Version: 3.5.1
% 2.95/0.84 % Preprocessing class: FSMSSMSSSSSNFFN.
% 2.95/0.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.95/0.84 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.95/0.84 % Starting new_bool_3 with 300s (1) cores
% 2.95/0.84 % Starting new_bool_1 with 300s (1) cores
% 2.95/0.84 % Starting sh5l with 300s (1) cores
% 2.95/0.84 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2166251 completed with status 0
% 2.95/0.84 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 2.95/0.84 % Preprocessing class: FSMSSMSSSSSNFFN.
% 2.95/0.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.95/0.84 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.95/0.84 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.95/0.84 % No SInE strategy applied
% 2.95/0.84 % Search class: FGHSS-FSLM32-SFFFFFNN
% 2.95/0.84 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.95/0.84 % Starting SubtermCWHack with 136s (1) cores
% 2.95/0.84 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.95/0.84 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 169s (1) cores
% 2.95/0.84 % Starting new_bool_3 with 169s (1) cores
% 2.95/0.84 % Starting new_bool_1 with 169s (1) cores
% 2.95/0.84 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 2166257 completed with status 0
% 2.95/0.84 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 2.95/0.84 % Preprocessing class: FSMSSMSSSSSNFFN.
% 2.95/0.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.95/0.84 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.95/0.84 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.95/0.84 % No SInE strategy applied
% 2.95/0.84 % Search class: FGHSS-FSLM32-SFFFFFNN
% 2.95/0.84 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.95/0.84 % Starting SubtermCWHack with 136s (1) cores
% 2.95/0.84 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.95/0.84 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 169s (1) cores
% 2.95/0.84 % Preprocessing time : 0.002 s
% 2.95/0.84 % Presaturation interreduction done
% 2.95/0.84
% 2.95/0.84 % Proof found!
% 2.95/0.84 % SZS status Theorem
% 2.95/0.84 % SZS output start CNFRefutation
% See solution above
% 2.95/0.84 % Parsed axioms : 21
% 2.95/0.84 % Removed by relevancy pruning/SinE : 0
% 2.95/0.84 % Initial clauses : 117
% 2.95/0.84 % Removed in clause preprocessing : 4
% 2.95/0.84 % Initial clauses in saturation : 113
% 2.95/0.84 % Processed clauses : 2914
% 2.95/0.84 % ...of these trivial : 20
% 2.95/0.84 % ...subsumed : 1854
% 2.95/0.84 % ...remaining for further processing : 1040
% 2.95/0.84 % Other redundant clauses eliminated : 23
% 2.95/0.84 % Clauses deleted for lack of memory : 0
% 2.95/0.84 % Backward-subsumed : 168
% 2.95/0.84 % Backward-rewritten : 180
% 2.95/0.84 % Generated clauses : 11327
% 2.95/0.84 % ...of the previous two non-redundant : 10922
% 2.95/0.84 % ...aggressively subsumed : 0
% 2.95/0.84 % Contextual simplify-reflections : 165
% 2.95/0.84 % Paramodulations : 11295
% 2.95/0.84 % Factorizations : 20
% 2.95/0.84 % NegExts : 0
% 2.95/0.84 % Equation resolutions : 23
% 2.95/0.84 % Disequality decompositions : 0
% 2.95/0.84 % Total rewrite steps : 14904
% 2.95/0.84 % ...of those cached : 14881
% 2.95/0.84 % Propositional unsat checks : 0
% 2.95/0.84 % Propositional check models : 0
% 2.95/0.84 % Propositional check unsatisfiable : 0
% 2.95/0.84 % Propositional clauses : 0
% 2.95/0.84 % Propositional clauses after purity: 0
% 2.95/0.84 % Propositional unsat core size : 0
% 2.95/0.84 % Propositional preprocessing time : 0.000
% 2.95/0.84 % Propositional encoding time : 0.000
% 2.95/0.84 % Propositional solver time : 0.000
% 2.95/0.84 % Success case prop preproc time : 0.000
% 2.95/0.84 % Success case prop encoding time : 0.000
% 2.95/0.84 % Success case prop solver time : 0.000
% 2.95/0.84 % Current number of processed clauses : 567
% 2.95/0.84 % Positive orientable unit clauses : 21
% 2.95/0.84 % Positive unorientable unit clauses: 0
% 2.95/0.84 % Negative unit clauses : 11
% 2.95/0.84 % Non-unit-clauses : 535
% 2.95/0.84 % Current number of unprocessed clauses: 7973
% 2.95/0.84 % ...number of literals in the above : 69795
% 2.95/0.84 % Current number of archived formulas : 0
% 2.95/0.84 % Current number of archived clauses : 461
% 2.95/0.84 % Clause-clause subsumption calls (NU) : 152559
% 2.95/0.84 % Rec. Clause-clause subsumption calls : 16235
% 2.95/0.84 % Non-unit clause-clause subsumptions : 2171
% 2.95/0.84 % Unit Clause-clause subsumption calls : 2752
% 2.95/0.84 % Rewrite failures with RHS unbound : 0
% 2.95/0.84 % BW rewrite match attempts : 31
% 2.95/0.84 % BW rewrite match successes : 8
% 2.95/0.84 % Condensation attempts : 0
% 2.95/0.84 % Condensation successes : 0
% 2.95/0.84 % Termbank termtop insertions : 593807
% 2.95/0.84 % Search garbage collected termcells : 1153
% 2.95/0.84
% 2.95/0.84 % -------------------------------------------------
% 2.95/0.84 % User time : 0.377 s
% 2.95/0.84 % System time : 0.019 s
% 2.95/0.84 % Total time : 0.396 s
% 2.95/0.84 % Maximum resident set size: 3860 pages
% 2.95/0.84
% 2.95/0.84 % -------------------------------------------------
% 2.95/0.84 % User time : 1.802 s
% 2.95/0.84 % System time : 0.068 s
% 2.95/0.84 % Total time : 1.871 s
% 2.95/0.84 % Maximum resident set size: 4864 pages
% 2.95/0.84 % E exiting
%------------------------------------------------------------------------------