%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU314+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 05:11:27 PM UTC 2026
% Result : Theorem 56.53s 37.00s
% Output : CNFRefutation 56.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 2
% Syntax : Number of formulae : 103 ( 11 unt; 0 def)
% Number of atoms : 946 ( 203 equ)
% Maximal formula atoms : 517 ( 9 avg)
% Number of connectives : 1408 ( 565 ~; 723 |; 112 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 94 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-3 aty)
% Number of variables : 148 ( 0 sgn 20 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s1_xboole_0__e1_40__pre_topc__1,conjecture,
! [X1,X2] :
( ( topological_space(X1)
& top_str(X1)
& element(X2,powerset(the_carrier(X1))) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,powerset(the_carrier(X1)))
& ? [X5] :
( element(X5,powerset(the_carrier(X1)))
& X5 = X4
& closed_subset(X5,X1)
& subset(X2,X4) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e1_40__pre_topc__1) ).
fof(s1_tarski__e1_40__pre_topc__1,axiom,
! [X1,X2] :
( ( topological_space(X1)
& top_str(X1)
& element(X2,powerset(the_carrier(X1))) )
=> ( ! [X3,X4,X5] :
( ( X3 = X4
& ? [X6] :
( element(X6,powerset(the_carrier(X1)))
& X6 = X4
& closed_subset(X6,X1)
& subset(X2,X4) )
& X3 = X5
& ? [X7] :
( element(X7,powerset(the_carrier(X1)))
& X7 = X5
& closed_subset(X7,X1)
& subset(X2,X5) ) )
=> X4 = X5 )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(X5,powerset(the_carrier(X1)))
& X5 = X4
& ? [X8] :
( element(X8,powerset(the_carrier(X1)))
& X8 = X4
& closed_subset(X8,X1)
& subset(X2,X4) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e1_40__pre_topc__1) ).
fof(c_0_2,negated_conjecture,
~ ! [X1,X2] :
( ( topological_space(X1)
& top_str(X1)
& element(X2,powerset(the_carrier(X1))) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,powerset(the_carrier(X1)))
& ? [X5] :
( element(X5,powerset(the_carrier(X1)))
& X5 = X4
& closed_subset(X5,X1)
& subset(X2,X4) ) ) ) ),
inference(assume_negation,[status(cth)],[s1_xboole_0__e1_40__pre_topc__1]) ).
fof(c_0_3,plain,
! [X106,X107,X114,X117,X118,X119] :
( ( in(esk15_3(X106,X107,X114),powerset(the_carrier(X106)))
| ~ in(X114,esk14_2(X106,X107))
| esk9_2(X106,X107) = esk10_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( esk15_3(X106,X107,X114) = X114
| ~ in(X114,esk14_2(X106,X107))
| esk9_2(X106,X107) = esk10_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( element(esk16_3(X106,X107,X114),powerset(the_carrier(X106)))
| ~ in(X114,esk14_2(X106,X107))
| esk9_2(X106,X107) = esk10_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( esk16_3(X106,X107,X114) = X114
| ~ in(X114,esk14_2(X106,X107))
| esk9_2(X106,X107) = esk10_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( closed_subset(esk16_3(X106,X107,X114),X106)
| ~ in(X114,esk14_2(X106,X107))
| esk9_2(X106,X107) = esk10_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( subset(X107,X114)
| ~ in(X114,esk14_2(X106,X107))
| esk9_2(X106,X107) = esk10_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( ~ in(X118,powerset(the_carrier(X106)))
| X118 != X117
| ~ element(X119,powerset(the_carrier(X106)))
| X119 != X117
| ~ closed_subset(X119,X106)
| ~ subset(X107,X117)
| in(X117,esk14_2(X106,X107))
| esk9_2(X106,X107) = esk10_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( in(esk15_3(X106,X107,X114),powerset(the_carrier(X106)))
| ~ in(X114,esk14_2(X106,X107))
| element(esk12_2(X106,X107),powerset(the_carrier(X106)))
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( esk15_3(X106,X107,X114) = X114
| ~ in(X114,esk14_2(X106,X107))
| element(esk12_2(X106,X107),powerset(the_carrier(X106)))
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( element(esk16_3(X106,X107,X114),powerset(the_carrier(X106)))
| ~ in(X114,esk14_2(X106,X107))
| element(esk12_2(X106,X107),powerset(the_carrier(X106)))
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( esk16_3(X106,X107,X114) = X114
| ~ in(X114,esk14_2(X106,X107))
| element(esk12_2(X106,X107),powerset(the_carrier(X106)))
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( closed_subset(esk16_3(X106,X107,X114),X106)
| ~ in(X114,esk14_2(X106,X107))
| element(esk12_2(X106,X107),powerset(the_carrier(X106)))
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( subset(X107,X114)
| ~ in(X114,esk14_2(X106,X107))
| element(esk12_2(X106,X107),powerset(the_carrier(X106)))
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( ~ in(X118,powerset(the_carrier(X106)))
| X118 != X117
| ~ element(X119,powerset(the_carrier(X106)))
| X119 != X117
| ~ closed_subset(X119,X106)
| ~ subset(X107,X117)
| in(X117,esk14_2(X106,X107))
| element(esk12_2(X106,X107),powerset(the_carrier(X106)))
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( in(esk15_3(X106,X107,X114),powerset(the_carrier(X106)))
| ~ in(X114,esk14_2(X106,X107))
| esk12_2(X106,X107) = esk10_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( esk15_3(X106,X107,X114) = X114
| ~ in(X114,esk14_2(X106,X107))
| esk12_2(X106,X107) = esk10_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( element(esk16_3(X106,X107,X114),powerset(the_carrier(X106)))
| ~ in(X114,esk14_2(X106,X107))
| esk12_2(X106,X107) = esk10_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( esk16_3(X106,X107,X114) = X114
| ~ in(X114,esk14_2(X106,X107))
| esk12_2(X106,X107) = esk10_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( closed_subset(esk16_3(X106,X107,X114),X106)
| ~ in(X114,esk14_2(X106,X107))
| esk12_2(X106,X107) = esk10_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( subset(X107,X114)
| ~ in(X114,esk14_2(X106,X107))
| esk12_2(X106,X107) = esk10_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( ~ in(X118,powerset(the_carrier(X106)))
| X118 != X117
| ~ element(X119,powerset(the_carrier(X106)))
| X119 != X117
| ~ closed_subset(X119,X106)
| ~ subset(X107,X117)
| in(X117,esk14_2(X106,X107))
| esk12_2(X106,X107) = esk10_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( in(esk15_3(X106,X107,X114),powerset(the_carrier(X106)))
| ~ in(X114,esk14_2(X106,X107))
| closed_subset(esk12_2(X106,X107),X106)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( esk15_3(X106,X107,X114) = X114
| ~ in(X114,esk14_2(X106,X107))
| closed_subset(esk12_2(X106,X107),X106)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( element(esk16_3(X106,X107,X114),powerset(the_carrier(X106)))
| ~ in(X114,esk14_2(X106,X107))
| closed_subset(esk12_2(X106,X107),X106)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( esk16_3(X106,X107,X114) = X114
| ~ in(X114,esk14_2(X106,X107))
| closed_subset(esk12_2(X106,X107),X106)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( closed_subset(esk16_3(X106,X107,X114),X106)
| ~ in(X114,esk14_2(X106,X107))
| closed_subset(esk12_2(X106,X107),X106)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( subset(X107,X114)
| ~ in(X114,esk14_2(X106,X107))
| closed_subset(esk12_2(X106,X107),X106)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( ~ in(X118,powerset(the_carrier(X106)))
| X118 != X117
| ~ element(X119,powerset(the_carrier(X106)))
| X119 != X117
| ~ closed_subset(X119,X106)
| ~ subset(X107,X117)
| in(X117,esk14_2(X106,X107))
| closed_subset(esk12_2(X106,X107),X106)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( in(esk15_3(X106,X107,X114),powerset(the_carrier(X106)))
| ~ in(X114,esk14_2(X106,X107))
| subset(X107,esk10_2(X106,X107))
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( esk15_3(X106,X107,X114) = X114
| ~ in(X114,esk14_2(X106,X107))
| subset(X107,esk10_2(X106,X107))
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( element(esk16_3(X106,X107,X114),powerset(the_carrier(X106)))
| ~ in(X114,esk14_2(X106,X107))
| subset(X107,esk10_2(X106,X107))
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( esk16_3(X106,X107,X114) = X114
| ~ in(X114,esk14_2(X106,X107))
| subset(X107,esk10_2(X106,X107))
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( closed_subset(esk16_3(X106,X107,X114),X106)
| ~ in(X114,esk14_2(X106,X107))
| subset(X107,esk10_2(X106,X107))
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( subset(X107,X114)
| ~ in(X114,esk14_2(X106,X107))
| subset(X107,esk10_2(X106,X107))
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( ~ in(X118,powerset(the_carrier(X106)))
| X118 != X117
| ~ element(X119,powerset(the_carrier(X106)))
| X119 != X117
| ~ closed_subset(X119,X106)
| ~ subset(X107,X117)
| in(X117,esk14_2(X106,X107))
| subset(X107,esk10_2(X106,X107))
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( in(esk15_3(X106,X107,X114),powerset(the_carrier(X106)))
| ~ in(X114,esk14_2(X106,X107))
| esk9_2(X106,X107) = esk11_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( esk15_3(X106,X107,X114) = X114
| ~ in(X114,esk14_2(X106,X107))
| esk9_2(X106,X107) = esk11_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( element(esk16_3(X106,X107,X114),powerset(the_carrier(X106)))
| ~ in(X114,esk14_2(X106,X107))
| esk9_2(X106,X107) = esk11_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( esk16_3(X106,X107,X114) = X114
| ~ in(X114,esk14_2(X106,X107))
| esk9_2(X106,X107) = esk11_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( closed_subset(esk16_3(X106,X107,X114),X106)
| ~ in(X114,esk14_2(X106,X107))
| esk9_2(X106,X107) = esk11_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( subset(X107,X114)
| ~ in(X114,esk14_2(X106,X107))
| esk9_2(X106,X107) = esk11_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( ~ in(X118,powerset(the_carrier(X106)))
| X118 != X117
| ~ element(X119,powerset(the_carrier(X106)))
| X119 != X117
| ~ closed_subset(X119,X106)
| ~ subset(X107,X117)
| in(X117,esk14_2(X106,X107))
| esk9_2(X106,X107) = esk11_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( in(esk15_3(X106,X107,X114),powerset(the_carrier(X106)))
| ~ in(X114,esk14_2(X106,X107))
| element(esk13_2(X106,X107),powerset(the_carrier(X106)))
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( esk15_3(X106,X107,X114) = X114
| ~ in(X114,esk14_2(X106,X107))
| element(esk13_2(X106,X107),powerset(the_carrier(X106)))
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( element(esk16_3(X106,X107,X114),powerset(the_carrier(X106)))
| ~ in(X114,esk14_2(X106,X107))
| element(esk13_2(X106,X107),powerset(the_carrier(X106)))
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( esk16_3(X106,X107,X114) = X114
| ~ in(X114,esk14_2(X106,X107))
| element(esk13_2(X106,X107),powerset(the_carrier(X106)))
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( closed_subset(esk16_3(X106,X107,X114),X106)
| ~ in(X114,esk14_2(X106,X107))
| element(esk13_2(X106,X107),powerset(the_carrier(X106)))
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( subset(X107,X114)
| ~ in(X114,esk14_2(X106,X107))
| element(esk13_2(X106,X107),powerset(the_carrier(X106)))
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( ~ in(X118,powerset(the_carrier(X106)))
| X118 != X117
| ~ element(X119,powerset(the_carrier(X106)))
| X119 != X117
| ~ closed_subset(X119,X106)
| ~ subset(X107,X117)
| in(X117,esk14_2(X106,X107))
| element(esk13_2(X106,X107),powerset(the_carrier(X106)))
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( in(esk15_3(X106,X107,X114),powerset(the_carrier(X106)))
| ~ in(X114,esk14_2(X106,X107))
| esk13_2(X106,X107) = esk11_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( esk15_3(X106,X107,X114) = X114
| ~ in(X114,esk14_2(X106,X107))
| esk13_2(X106,X107) = esk11_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( element(esk16_3(X106,X107,X114),powerset(the_carrier(X106)))
| ~ in(X114,esk14_2(X106,X107))
| esk13_2(X106,X107) = esk11_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( esk16_3(X106,X107,X114) = X114
| ~ in(X114,esk14_2(X106,X107))
| esk13_2(X106,X107) = esk11_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( closed_subset(esk16_3(X106,X107,X114),X106)
| ~ in(X114,esk14_2(X106,X107))
| esk13_2(X106,X107) = esk11_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( subset(X107,X114)
| ~ in(X114,esk14_2(X106,X107))
| esk13_2(X106,X107) = esk11_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( ~ in(X118,powerset(the_carrier(X106)))
| X118 != X117
| ~ element(X119,powerset(the_carrier(X106)))
| X119 != X117
| ~ closed_subset(X119,X106)
| ~ subset(X107,X117)
| in(X117,esk14_2(X106,X107))
| esk13_2(X106,X107) = esk11_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( in(esk15_3(X106,X107,X114),powerset(the_carrier(X106)))
| ~ in(X114,esk14_2(X106,X107))
| closed_subset(esk13_2(X106,X107),X106)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( esk15_3(X106,X107,X114) = X114
| ~ in(X114,esk14_2(X106,X107))
| closed_subset(esk13_2(X106,X107),X106)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( element(esk16_3(X106,X107,X114),powerset(the_carrier(X106)))
| ~ in(X114,esk14_2(X106,X107))
| closed_subset(esk13_2(X106,X107),X106)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( esk16_3(X106,X107,X114) = X114
| ~ in(X114,esk14_2(X106,X107))
| closed_subset(esk13_2(X106,X107),X106)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( closed_subset(esk16_3(X106,X107,X114),X106)
| ~ in(X114,esk14_2(X106,X107))
| closed_subset(esk13_2(X106,X107),X106)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( subset(X107,X114)
| ~ in(X114,esk14_2(X106,X107))
| closed_subset(esk13_2(X106,X107),X106)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( ~ in(X118,powerset(the_carrier(X106)))
| X118 != X117
| ~ element(X119,powerset(the_carrier(X106)))
| X119 != X117
| ~ closed_subset(X119,X106)
| ~ subset(X107,X117)
| in(X117,esk14_2(X106,X107))
| closed_subset(esk13_2(X106,X107),X106)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( in(esk15_3(X106,X107,X114),powerset(the_carrier(X106)))
| ~ in(X114,esk14_2(X106,X107))
| subset(X107,esk11_2(X106,X107))
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( esk15_3(X106,X107,X114) = X114
| ~ in(X114,esk14_2(X106,X107))
| subset(X107,esk11_2(X106,X107))
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( element(esk16_3(X106,X107,X114),powerset(the_carrier(X106)))
| ~ in(X114,esk14_2(X106,X107))
| subset(X107,esk11_2(X106,X107))
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( esk16_3(X106,X107,X114) = X114
| ~ in(X114,esk14_2(X106,X107))
| subset(X107,esk11_2(X106,X107))
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( closed_subset(esk16_3(X106,X107,X114),X106)
| ~ in(X114,esk14_2(X106,X107))
| subset(X107,esk11_2(X106,X107))
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( subset(X107,X114)
| ~ in(X114,esk14_2(X106,X107))
| subset(X107,esk11_2(X106,X107))
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( ~ in(X118,powerset(the_carrier(X106)))
| X118 != X117
| ~ element(X119,powerset(the_carrier(X106)))
| X119 != X117
| ~ closed_subset(X119,X106)
| ~ subset(X107,X117)
| in(X117,esk14_2(X106,X107))
| subset(X107,esk11_2(X106,X107))
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( in(esk15_3(X106,X107,X114),powerset(the_carrier(X106)))
| ~ in(X114,esk14_2(X106,X107))
| esk10_2(X106,X107) != esk11_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( esk15_3(X106,X107,X114) = X114
| ~ in(X114,esk14_2(X106,X107))
| esk10_2(X106,X107) != esk11_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( element(esk16_3(X106,X107,X114),powerset(the_carrier(X106)))
| ~ in(X114,esk14_2(X106,X107))
| esk10_2(X106,X107) != esk11_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( esk16_3(X106,X107,X114) = X114
| ~ in(X114,esk14_2(X106,X107))
| esk10_2(X106,X107) != esk11_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( closed_subset(esk16_3(X106,X107,X114),X106)
| ~ in(X114,esk14_2(X106,X107))
| esk10_2(X106,X107) != esk11_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( subset(X107,X114)
| ~ in(X114,esk14_2(X106,X107))
| esk10_2(X106,X107) != esk11_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) )
& ( ~ in(X118,powerset(the_carrier(X106)))
| X118 != X117
| ~ element(X119,powerset(the_carrier(X106)))
| X119 != X117
| ~ closed_subset(X119,X106)
| ~ subset(X107,X117)
| in(X117,esk14_2(X106,X107))
| esk10_2(X106,X107) != esk11_2(X106,X107)
| ~ topological_space(X106)
| ~ top_str(X106)
| ~ element(X107,powerset(the_carrier(X106))) ) ),
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)],[s1_tarski__e1_40__pre_topc__1])])])])])]) ).
fof(c_0_4,negated_conjecture,
! [X65,X67] :
( topological_space(esk1_0)
& top_str(esk1_0)
& element(esk2_0,powerset(the_carrier(esk1_0)))
& ( ~ in(esk3_1(X65),X65)
| ~ in(esk3_1(X65),powerset(the_carrier(esk1_0)))
| ~ element(X67,powerset(the_carrier(esk1_0)))
| X67 != esk3_1(X65)
| ~ closed_subset(X67,esk1_0)
| ~ subset(esk2_0,esk3_1(X65)) )
& ( in(esk3_1(X65),powerset(the_carrier(esk1_0)))
| in(esk3_1(X65),X65) )
& ( element(esk4_1(X65),powerset(the_carrier(esk1_0)))
| in(esk3_1(X65),X65) )
& ( esk4_1(X65) = esk3_1(X65)
| in(esk3_1(X65),X65) )
& ( closed_subset(esk4_1(X65),esk1_0)
| in(esk3_1(X65),X65) )
& ( subset(esk2_0,esk3_1(X65))
| in(esk3_1(X65),X65) ) ),
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_2])])])])]) ).
cnf(c_0_5,plain,
( in(esk15_3(X1,X2,X3),powerset(the_carrier(X1)))
| esk9_2(X1,X2) = esk10_2(X1,X2)
| ~ in(X3,esk14_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
element(esk2_0,powerset(the_carrier(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
top_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
topological_space(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
( esk15_3(X1,X2,X3) = X3
| esk9_2(X1,X2) = esk10_2(X1,X2)
| ~ in(X3,esk14_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_10,plain,
( element(esk16_3(X1,X2,X3),powerset(the_carrier(X1)))
| esk9_2(X1,X2) = esk10_2(X1,X2)
| ~ in(X3,esk14_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_11,negated_conjecture,
( element(esk4_1(X1),powerset(the_carrier(esk1_0)))
| in(esk3_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,negated_conjecture,
( esk4_1(X1) = esk3_1(X1)
| in(esk3_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,plain,
( esk16_3(X1,X2,X3) = X3
| esk9_2(X1,X2) = esk10_2(X1,X2)
| ~ in(X3,esk14_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_14,plain,
( closed_subset(esk16_3(X1,X2,X3),X1)
| esk9_2(X1,X2) = esk10_2(X1,X2)
| ~ in(X3,esk14_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_15,negated_conjecture,
( closed_subset(esk4_1(X1),esk1_0)
| in(esk3_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,plain,
( in(X3,esk14_2(X2,X5))
| esk9_2(X2,X5) = esk10_2(X2,X5)
| ~ in(X1,powerset(the_carrier(X2)))
| X1 != X3
| ~ element(X4,powerset(the_carrier(X2)))
| X4 != X3
| ~ closed_subset(X4,X2)
| ~ subset(X5,X3)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X5,powerset(the_carrier(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_17,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk15_3(esk1_0,esk2_0,X1),powerset(the_carrier(esk1_0)))
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_18,negated_conjecture,
( in(esk3_1(X1),powerset(the_carrier(esk1_0)))
| in(esk3_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_19,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| esk15_3(esk1_0,esk2_0,X1) = X1
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_20,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| element(esk16_3(esk1_0,esk2_0,X1),powerset(the_carrier(esk1_0)))
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_21,negated_conjecture,
( in(esk3_1(X1),X1)
| element(esk3_1(X1),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_22,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| esk16_3(esk1_0,esk2_0,X1) = X1
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_23,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| closed_subset(esk16_3(esk1_0,esk2_0,X1),esk1_0)
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_24,negated_conjecture,
( closed_subset(esk3_1(X1),esk1_0)
| in(esk3_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_12]) ).
cnf(c_0_25,plain,
( subset(X1,X2)
| esk9_2(X3,X1) = esk10_2(X3,X1)
| ~ in(X2,esk14_2(X3,X1))
| ~ topological_space(X3)
| ~ top_str(X3)
| ~ element(X1,powerset(the_carrier(X3))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_26,plain,
( in(esk15_3(X1,X2,X3),powerset(the_carrier(X1)))
| esk9_2(X1,X2) = esk11_2(X1,X2)
| ~ in(X3,esk14_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_27,plain,
( esk15_3(X1,X2,X3) = X3
| esk9_2(X1,X2) = esk11_2(X1,X2)
| ~ in(X3,esk14_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_28,plain,
( element(esk16_3(X1,X2,X3),powerset(the_carrier(X1)))
| esk9_2(X1,X2) = esk11_2(X1,X2)
| ~ in(X3,esk14_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_29,plain,
( esk16_3(X1,X2,X3) = X3
| esk9_2(X1,X2) = esk11_2(X1,X2)
| ~ in(X3,esk14_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_30,plain,
( closed_subset(esk16_3(X1,X2,X3),X1)
| esk9_2(X1,X2) = esk11_2(X1,X2)
| ~ in(X3,esk14_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_31,plain,
( esk9_2(X1,X2) = esk10_2(X1,X2)
| in(X3,esk14_2(X1,X2))
| ~ subset(X2,X3)
| ~ closed_subset(X3,X1)
| ~ in(X3,powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_16])]) ).
cnf(c_0_32,negated_conjecture,
( ~ in(esk3_1(X1),X1)
| ~ in(esk3_1(X1),powerset(the_carrier(esk1_0)))
| ~ element(X2,powerset(the_carrier(esk1_0)))
| X2 != esk3_1(X1)
| ~ closed_subset(X2,esk1_0)
| ~ subset(esk2_0,esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_33,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk15_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),powerset(the_carrier(esk1_0)))
| in(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_34,negated_conjecture,
( esk15_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_19,c_0_18]) ).
cnf(c_0_35,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| element(esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),powerset(the_carrier(esk1_0)))
| element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_36,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_22,c_0_21]) ).
cnf(c_0_37,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| closed_subset(esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),esk1_0)
| closed_subset(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_38,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| closed_subset(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_24]) ).
cnf(c_0_39,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| subset(esk2_0,X1)
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_40,negated_conjecture,
( subset(esk2_0,esk3_1(X1))
| in(esk3_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_41,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk15_3(esk1_0,esk2_0,X1),powerset(the_carrier(esk1_0)))
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_42,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| esk15_3(esk1_0,esk2_0,X1) = X1
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_43,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| element(esk16_3(esk1_0,esk2_0,X1),powerset(the_carrier(esk1_0)))
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_44,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| esk16_3(esk1_0,esk2_0,X1) = X1
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_45,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| closed_subset(esk16_3(esk1_0,esk2_0,X1),esk1_0)
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_46,plain,
( subset(X1,X2)
| esk9_2(X3,X1) = esk11_2(X3,X1)
| ~ in(X2,esk14_2(X3,X1))
| ~ topological_space(X3)
| ~ top_str(X3)
| ~ element(X1,powerset(the_carrier(X3))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_47,plain,
( in(X3,esk14_2(X2,X5))
| esk9_2(X2,X5) = esk11_2(X2,X5)
| ~ in(X1,powerset(the_carrier(X2)))
| X1 != X3
| ~ element(X4,powerset(the_carrier(X2)))
| X4 != X3
| ~ closed_subset(X4,X2)
| ~ subset(X5,X3)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X5,powerset(the_carrier(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_48,negated_conjecture,
( esk9_2(esk1_0,X1) = esk10_2(esk1_0,X1)
| in(esk3_1(X2),esk14_2(esk1_0,X1))
| in(esk3_1(X2),X2)
| ~ subset(X1,esk3_1(X2))
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_18]),c_0_7]),c_0_8])]),c_0_21]),c_0_24]) ).
cnf(c_0_49,negated_conjecture,
( ~ subset(esk2_0,esk3_1(X1))
| ~ closed_subset(esk3_1(X1),esk1_0)
| ~ in(esk3_1(X1),powerset(the_carrier(esk1_0)))
| ~ in(esk3_1(X1),X1)
| ~ element(esk3_1(X1),powerset(the_carrier(esk1_0))) ),
inference(er,[status(thm)],[c_0_32]) ).
cnf(c_0_50,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_51,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_52,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| closed_subset(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_53,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| subset(esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_54,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk15_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),powerset(the_carrier(esk1_0)))
| in(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_41,c_0_18]) ).
cnf(c_0_55,negated_conjecture,
( esk15_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_42,c_0_18]) ).
cnf(c_0_56,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| element(esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),powerset(the_carrier(esk1_0)))
| element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_43,c_0_21]) ).
cnf(c_0_57,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_44,c_0_21]) ).
cnf(c_0_58,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| closed_subset(esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),esk1_0)
| closed_subset(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_24]) ).
cnf(c_0_59,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| closed_subset(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_44,c_0_24]) ).
cnf(c_0_60,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| subset(esk2_0,X1)
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_61,plain,
( esk9_2(X1,X2) = esk11_2(X1,X2)
| in(X3,esk14_2(X1,X2))
| ~ subset(X2,X3)
| ~ closed_subset(X3,X1)
| ~ in(X3,powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_47])]) ).
cnf(c_0_62,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk3_1(X1),esk14_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_6]),c_0_40]) ).
cnf(c_0_63,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| ~ in(esk3_1(esk14_2(esk1_0,esk2_0)),esk14_2(esk1_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_52]),c_0_53]) ).
cnf(c_0_64,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_65,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_66,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| closed_subset(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_67,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| subset(esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_60,c_0_40]) ).
cnf(c_0_68,plain,
( esk16_3(X1,X2,X3) = X3
| ~ in(X3,esk14_2(X1,X2))
| esk10_2(X1,X2) != esk11_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_69,negated_conjecture,
( esk9_2(esk1_0,X1) = esk11_2(esk1_0,X1)
| in(esk3_1(X2),esk14_2(esk1_0,X1))
| in(esk3_1(X2),X2)
| ~ subset(X1,esk3_1(X2))
| ~ element(X1,powerset(the_carrier(esk1_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_18]),c_0_7]),c_0_8])]),c_0_21]),c_0_24]) ).
cnf(c_0_70,negated_conjecture,
esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_62]),c_0_63]) ).
cnf(c_0_71,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| ~ in(esk3_1(esk14_2(esk1_0,esk2_0)),esk14_2(esk1_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_64]),c_0_65]),c_0_66]),c_0_67]) ).
cnf(c_0_72,negated_conjecture,
( esk16_3(X1,X2,esk3_1(esk14_2(X1,X2))) = esk3_1(esk14_2(X1,X2))
| esk4_1(esk14_2(X1,X2)) = esk3_1(esk14_2(X1,X2))
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_12]) ).
cnf(c_0_73,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk3_1(X1),esk14_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_6]),c_0_70]),c_0_40]) ).
cnf(c_0_74,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| ~ in(esk3_1(esk14_2(esk1_0,esk2_0)),esk14_2(esk1_0,esk2_0)) ),
inference(rw,[status(thm)],[c_0_71,c_0_70]) ).
cnf(c_0_75,negated_conjecture,
( esk16_3(X1,X2,esk3_1(esk14_2(X1,X2))) = esk3_1(esk14_2(X1,X2))
| element(esk4_1(esk14_2(X1,X2)),powerset(the_carrier(esk1_0)))
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_11]) ).
cnf(c_0_76,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk4_1(esk14_2(esk1_0,esk2_0)) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk11_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_77,negated_conjecture,
esk11_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_73]),c_0_74]) ).
cnf(c_0_78,plain,
( in(esk15_3(X1,X2,X3),powerset(the_carrier(X1)))
| ~ in(X3,esk14_2(X1,X2))
| esk10_2(X1,X2) != esk11_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_79,plain,
( esk15_3(X1,X2,X3) = X3
| ~ in(X3,esk14_2(X1,X2))
| esk10_2(X1,X2) != esk11_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_80,plain,
( subset(X1,X2)
| ~ in(X2,esk14_2(X3,X1))
| esk10_2(X3,X1) != esk11_2(X3,X1)
| ~ topological_space(X3)
| ~ top_str(X3)
| ~ element(X1,powerset(the_carrier(X3))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_81,negated_conjecture,
( esk16_3(X1,X2,esk3_1(esk14_2(X1,X2))) = esk3_1(esk14_2(X1,X2))
| closed_subset(esk3_1(esk14_2(X1,X2)),esk1_0)
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_24]) ).
cnf(c_0_82,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| element(esk4_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0)))
| esk11_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_83,plain,
( element(esk16_3(X1,X2,X3),powerset(the_carrier(X1)))
| ~ in(X3,esk14_2(X1,X2))
| esk10_2(X1,X2) != esk11_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_84,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk4_1(esk14_2(esk1_0,esk2_0)) = esk3_1(esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_77])]) ).
cnf(c_0_85,plain,
( in(X1,powerset(the_carrier(X2)))
| esk11_2(X2,X3) != esk10_2(X2,X3)
| ~ in(X1,esk14_2(X2,X3))
| ~ element(X3,powerset(the_carrier(X2)))
| ~ top_str(X2)
| ~ topological_space(X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_86,negated_conjecture,
( subset(esk2_0,esk3_1(esk14_2(X1,X2)))
| subset(X2,esk3_1(esk14_2(X1,X2)))
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_40]) ).
cnf(c_0_87,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| closed_subset(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0)
| esk11_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_88,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| element(esk4_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_77])]) ).
cnf(c_0_89,negated_conjecture,
( esk4_1(esk14_2(esk1_0,esk2_0)) = esk3_1(esk14_2(esk1_0,esk2_0))
| element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_77]),c_0_6]),c_0_7]),c_0_8])]),c_0_21]) ).
cnf(c_0_90,negated_conjecture,
( in(esk3_1(esk14_2(X1,X2)),powerset(the_carrier(esk1_0)))
| in(esk3_1(esk14_2(X1,X2)),powerset(the_carrier(X1)))
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_18]) ).
cnf(c_0_91,negated_conjecture,
( subset(esk2_0,esk3_1(esk14_2(esk1_0,esk2_0)))
| esk11_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_6]),c_0_7]),c_0_8])]) ).
cnf(c_0_92,plain,
( closed_subset(esk16_3(X1,X2,X3),X1)
| ~ in(X3,esk14_2(X1,X2))
| esk10_2(X1,X2) != esk11_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_93,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| closed_subset(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_77])]) ).
cnf(c_0_94,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_95,negated_conjecture,
in(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_6]),c_0_77]),c_0_7]),c_0_8])]) ).
cnf(c_0_96,negated_conjecture,
subset(esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_70]),c_0_91]) ).
cnf(c_0_97,negated_conjecture,
closed_subset(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_77]),c_0_6]),c_0_7]),c_0_8])]),c_0_24]) ).
cnf(c_0_98,negated_conjecture,
element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_94]),c_0_77]),c_0_6]),c_0_7]),c_0_8])]),c_0_21]) ).
cnf(c_0_99,plain,
( in(X3,esk14_2(X2,X5))
| ~ in(X1,powerset(the_carrier(X2)))
| X1 != X3
| ~ element(X4,powerset(the_carrier(X2)))
| X4 != X3
| ~ closed_subset(X4,X2)
| ~ subset(X5,X3)
| esk10_2(X2,X5) != esk11_2(X2,X5)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X5,powerset(the_carrier(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_100,negated_conjecture,
~ in(esk3_1(esk14_2(esk1_0,esk2_0)),esk14_2(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_95]),c_0_96]),c_0_97]),c_0_98])]) ).
cnf(c_0_101,plain,
( in(X1,esk14_2(X2,X3))
| esk11_2(X2,X3) != esk10_2(X2,X3)
| ~ subset(X3,X1)
| ~ closed_subset(X1,X2)
| ~ in(X1,powerset(the_carrier(X2)))
| ~ element(X3,powerset(the_carrier(X2)))
| ~ element(X1,powerset(the_carrier(X2)))
| ~ top_str(X2)
| ~ topological_space(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_99])]) ).
cnf(c_0_102,negated_conjecture,
$false,
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_77]),c_0_96]),c_0_97]),c_0_95]),c_0_6]),c_0_98]),c_0_7]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU314+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
% 0.15/0.32 % Computer : n021.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 02:57:55 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 56.53/37.00 % Version : CSE_E---1.7
% 56.53/37.00 % Problem : theBenchmark.p
% 56.53/37.00 % SZS status Theorem for theBenchmark.p
% 56.53/37.00 % SZS output start CNFRefutation
% See solution above
% 56.84/37.26 % Total time : 30.429s
%------------------------------------------------------------------------------