TSTP Solution File: SEU372+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU372+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 09:19:27 EDT 2022
% Result : Theorem 0.36s 18.55s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 21
% Syntax : Number of formulae : 141 ( 23 unt; 0 def)
% Number of atoms : 599 ( 46 equ)
% Maximal formula atoms : 76 ( 4 avg)
% Number of connectives : 816 ( 358 ~; 370 |; 48 &)
% ( 6 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-4 aty)
% Number of variables : 280 ( 24 sgn 107 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d1_connsp_2,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,powerset(the_carrier(X1)))
=> ( point_neighbourhood(X3,X1,X2)
<=> in(X2,interior(X1,X3)) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d1_connsp_2) ).
fof(dt_m1_connsp_2,axiom,
! [X1,X2] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1)
& element(X2,the_carrier(X1)) )
=> ! [X3] :
( point_neighbourhood(X3,X1,X2)
=> element(X3,powerset(the_carrier(X1))) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_m1_connsp_2) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t5_subset) ).
fof(dt_k1_tops_1,axiom,
! [X1,X2] :
( ( top_str(X1)
& element(X2,powerset(the_carrier(X1))) )
=> element(interior(X1,X2),powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k1_tops_1) ).
fof(existence_m1_connsp_2,axiom,
! [X1,X2] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1)
& element(X2,the_carrier(X1)) )
=> ? [X3] : point_neighbourhood(X3,X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',existence_m1_connsp_2) ).
fof(t6_yellow_6,conjecture,
! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( in(X3,topstr_closure(X1,X2))
<=> ! [X4] :
( point_neighbourhood(X4,X1,X3)
=> ~ disjoint(X4,X2) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t6_yellow_6) ).
fof(t3_subset,axiom,
! [X1,X2] :
( element(X1,powerset(X2))
<=> subset(X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t3_subset) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : subset(X1,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',reflexivity_r1_tarski) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_subset) ).
fof(t5_connsp_2,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( ( open_subset(X2,X1)
& in(X3,X2) )
=> point_neighbourhood(X2,X1,X3) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t5_connsp_2) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( in(X1,X2)
& element(X2,powerset(X3)) )
=> element(X1,X3) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t4_subset) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t8_boole) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( element(X2,powerset(X1))
& empty(X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',rc2_subset_1) ).
fof(d13_pre_topc,axiom,
! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ! [X3] :
( element(X3,powerset(the_carrier(X1)))
=> ( X3 = topstr_closure(X1,X2)
<=> ! [X4] :
( in(X4,the_carrier(X1))
=> ( in(X4,X3)
<=> ! [X5] :
( element(X5,powerset(the_carrier(X1)))
=> ~ ( open_subset(X5,X1)
& in(X4,X5)
& disjoint(X2,X5) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d13_pre_topc) ).
fof(t63_xboole_1,axiom,
! [X1,X2,X3] :
( ( subset(X1,X2)
& disjoint(X2,X3) )
=> disjoint(X1,X3) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t63_xboole_1) ).
fof(t44_tops_1,axiom,
! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> subset(interior(X1,X2),X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t44_tops_1) ).
fof(symmetry_r1_xboole_0,axiom,
! [X1,X2] :
( disjoint(X1,X2)
=> disjoint(X2,X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',symmetry_r1_xboole_0) ).
fof(t51_tops_1,axiom,
! [X1] :
( ( topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> open_subset(interior(X1,X2),X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t51_tops_1) ).
fof(dt_k6_pre_topc,axiom,
! [X1,X2] :
( ( top_str(X1)
& element(X2,powerset(the_carrier(X1))) )
=> element(topstr_closure(X1,X2),powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k6_pre_topc) ).
fof(t1_subset,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t1_subset) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t7_boole) ).
fof(c_0_21,plain,
! [X4,X5,X6] :
( ( ~ point_neighbourhood(X6,X4,X5)
| in(X5,interior(X4,X6))
| ~ element(X6,powerset(the_carrier(X4)))
| ~ element(X5,the_carrier(X4))
| empty_carrier(X4)
| ~ topological_space(X4)
| ~ top_str(X4) )
& ( ~ in(X5,interior(X4,X6))
| point_neighbourhood(X6,X4,X5)
| ~ element(X6,powerset(the_carrier(X4)))
| ~ element(X5,the_carrier(X4))
| empty_carrier(X4)
| ~ topological_space(X4)
| ~ top_str(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d1_connsp_2])])])])])])]) ).
fof(c_0_22,plain,
! [X4,X5,X6] :
( empty_carrier(X4)
| ~ topological_space(X4)
| ~ top_str(X4)
| ~ element(X5,the_carrier(X4))
| ~ point_neighbourhood(X6,X4,X5)
| element(X6,powerset(the_carrier(X4))) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_m1_connsp_2])])])])])]) ).
fof(c_0_23,plain,
! [X4,X5,X6] :
( ~ in(X4,X5)
| ~ element(X5,powerset(X6))
| ~ empty(X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(c_0_24,plain,
! [X3,X4] :
( ~ top_str(X3)
| ~ element(X4,powerset(the_carrier(X3)))
| element(interior(X3,X4),powerset(the_carrier(X3))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_tops_1])]) ).
cnf(c_0_25,plain,
( empty_carrier(X1)
| in(X2,interior(X1,X3))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ point_neighbourhood(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
( element(X1,powerset(the_carrier(X2)))
| empty_carrier(X2)
| ~ point_neighbourhood(X1,X2,X3)
| ~ element(X3,the_carrier(X2))
| ~ top_str(X2)
| ~ topological_space(X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_27,plain,
! [X4,X5] :
( empty_carrier(X4)
| ~ topological_space(X4)
| ~ top_str(X4)
| ~ element(X5,the_carrier(X4))
| point_neighbourhood(esk8_2(X4,X5),X4,X5) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[existence_m1_connsp_2])])])])])]) ).
fof(c_0_28,negated_conjecture,
~ ! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( in(X3,topstr_closure(X1,X2))
<=> ! [X4] :
( point_neighbourhood(X4,X1,X3)
=> ~ disjoint(X4,X2) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t6_yellow_6]) ).
cnf(c_0_29,plain,
( ~ empty(X1)
| ~ element(X2,powerset(X1))
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,plain,
( element(interior(X1,X2),powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,plain,
( empty_carrier(X1)
| in(X2,interior(X1,X3))
| ~ point_neighbourhood(X3,X1,X2)
| ~ topological_space(X1)
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1) ),
inference(csr,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,plain,
( point_neighbourhood(esk8_2(X1,X2),X1,X2)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_33,plain,
! [X3,X4,X3,X4] :
( ( ~ element(X3,powerset(X4))
| subset(X3,X4) )
& ( ~ subset(X3,X4)
| element(X3,powerset(X4)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])])]) ).
fof(c_0_34,plain,
! [X3] : subset(X3,X3),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(c_0_35,plain,
! [X3,X4] :
( ~ element(X3,X4)
| empty(X4)
| in(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(c_0_36,negated_conjecture,
! [X9] :
( ~ empty_carrier(esk1_0)
& topological_space(esk1_0)
& top_str(esk1_0)
& element(esk2_0,powerset(the_carrier(esk1_0)))
& element(esk3_0,the_carrier(esk1_0))
& ( point_neighbourhood(esk4_0,esk1_0,esk3_0)
| ~ in(esk3_0,topstr_closure(esk1_0,esk2_0)) )
& ( disjoint(esk4_0,esk2_0)
| ~ in(esk3_0,topstr_closure(esk1_0,esk2_0)) )
& ( in(esk3_0,topstr_closure(esk1_0,esk2_0))
| ~ point_neighbourhood(X9,esk1_0,esk3_0)
| ~ disjoint(X9,esk2_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_28])])])])])])])]) ).
cnf(c_0_37,plain,
( ~ element(X1,powerset(the_carrier(X2)))
| ~ top_str(X2)
| ~ empty(the_carrier(X2))
| ~ in(X3,interior(X2,X1)) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_38,plain,
( empty_carrier(X1)
| in(X2,interior(X1,esk8_2(X1,X2)))
| ~ topological_space(X1)
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_39,plain,
( empty_carrier(X1)
| element(esk8_2(X1,X2),powerset(the_carrier(X1)))
| ~ topological_space(X1)
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_32]) ).
fof(c_0_40,plain,
! [X4,X5,X6] :
( empty_carrier(X4)
| ~ topological_space(X4)
| ~ top_str(X4)
| ~ element(X5,powerset(the_carrier(X4)))
| ~ element(X6,the_carrier(X4))
| ~ open_subset(X5,X4)
| ~ in(X6,X5)
| point_neighbourhood(X5,X4,X6) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t5_connsp_2])])])])])]) ).
fof(c_0_41,plain,
! [X4,X5,X6] :
( ~ in(X4,X5)
| ~ element(X5,powerset(X6))
| element(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(c_0_42,plain,
! [X3,X4] :
( ~ empty(X3)
| X3 = X4
| ~ empty(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(c_0_43,plain,
! [X3] :
( element(esk11_1(X3),powerset(X3))
& empty(esk11_1(X3)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
fof(c_0_44,plain,
! [X6,X7,X8,X9,X10,X14] :
( ( ~ in(X9,X8)
| ~ element(X10,powerset(the_carrier(X6)))
| ~ open_subset(X10,X6)
| ~ in(X9,X10)
| ~ disjoint(X7,X10)
| ~ in(X9,the_carrier(X6))
| X8 != topstr_closure(X6,X7)
| ~ element(X8,powerset(the_carrier(X6)))
| ~ element(X7,powerset(the_carrier(X6)))
| ~ top_str(X6) )
& ( element(esk5_4(X6,X7,X8,X9),powerset(the_carrier(X6)))
| in(X9,X8)
| ~ in(X9,the_carrier(X6))
| X8 != topstr_closure(X6,X7)
| ~ element(X8,powerset(the_carrier(X6)))
| ~ element(X7,powerset(the_carrier(X6)))
| ~ top_str(X6) )
& ( open_subset(esk5_4(X6,X7,X8,X9),X6)
| in(X9,X8)
| ~ in(X9,the_carrier(X6))
| X8 != topstr_closure(X6,X7)
| ~ element(X8,powerset(the_carrier(X6)))
| ~ element(X7,powerset(the_carrier(X6)))
| ~ top_str(X6) )
& ( in(X9,esk5_4(X6,X7,X8,X9))
| in(X9,X8)
| ~ in(X9,the_carrier(X6))
| X8 != topstr_closure(X6,X7)
| ~ element(X8,powerset(the_carrier(X6)))
| ~ element(X7,powerset(the_carrier(X6)))
| ~ top_str(X6) )
& ( disjoint(X7,esk5_4(X6,X7,X8,X9))
| in(X9,X8)
| ~ in(X9,the_carrier(X6))
| X8 != topstr_closure(X6,X7)
| ~ element(X8,powerset(the_carrier(X6)))
| ~ element(X7,powerset(the_carrier(X6)))
| ~ top_str(X6) )
& ( in(esk6_3(X6,X7,X8),the_carrier(X6))
| X8 = topstr_closure(X6,X7)
| ~ element(X8,powerset(the_carrier(X6)))
| ~ element(X7,powerset(the_carrier(X6)))
| ~ top_str(X6) )
& ( element(esk7_3(X6,X7,X8),powerset(the_carrier(X6)))
| ~ in(esk6_3(X6,X7,X8),X8)
| X8 = topstr_closure(X6,X7)
| ~ element(X8,powerset(the_carrier(X6)))
| ~ element(X7,powerset(the_carrier(X6)))
| ~ top_str(X6) )
& ( open_subset(esk7_3(X6,X7,X8),X6)
| ~ in(esk6_3(X6,X7,X8),X8)
| X8 = topstr_closure(X6,X7)
| ~ element(X8,powerset(the_carrier(X6)))
| ~ element(X7,powerset(the_carrier(X6)))
| ~ top_str(X6) )
& ( in(esk6_3(X6,X7,X8),esk7_3(X6,X7,X8))
| ~ in(esk6_3(X6,X7,X8),X8)
| X8 = topstr_closure(X6,X7)
| ~ element(X8,powerset(the_carrier(X6)))
| ~ element(X7,powerset(the_carrier(X6)))
| ~ top_str(X6) )
& ( disjoint(X7,esk7_3(X6,X7,X8))
| ~ in(esk6_3(X6,X7,X8),X8)
| X8 = topstr_closure(X6,X7)
| ~ element(X8,powerset(the_carrier(X6)))
| ~ element(X7,powerset(the_carrier(X6)))
| ~ top_str(X6) )
& ( in(esk6_3(X6,X7,X8),X8)
| ~ element(X14,powerset(the_carrier(X6)))
| ~ open_subset(X14,X6)
| ~ in(esk6_3(X6,X7,X8),X14)
| ~ disjoint(X7,X14)
| X8 = topstr_closure(X6,X7)
| ~ element(X8,powerset(the_carrier(X6)))
| ~ element(X7,powerset(the_carrier(X6)))
| ~ top_str(X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d13_pre_topc])])])])])])]) ).
cnf(c_0_45,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_46,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_47,plain,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_48,negated_conjecture,
element(esk3_0,the_carrier(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_49,plain,
( empty_carrier(X1)
| ~ topological_space(X1)
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ empty(the_carrier(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_50,negated_conjecture,
topological_space(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_51,negated_conjecture,
top_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_52,negated_conjecture,
~ empty_carrier(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_53,plain,
! [X4,X5,X6] :
( ~ subset(X4,X5)
| ~ disjoint(X5,X6)
| disjoint(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t63_xboole_1])]) ).
fof(c_0_54,plain,
! [X3,X4] :
( ~ top_str(X3)
| ~ element(X4,powerset(the_carrier(X3)))
| subset(interior(X3,X4),X4) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t44_tops_1])])])])]) ).
cnf(c_0_55,plain,
( point_neighbourhood(X1,X2,X3)
| empty_carrier(X2)
| ~ in(X3,X1)
| ~ open_subset(X1,X2)
| ~ element(X3,the_carrier(X2))
| ~ element(X1,powerset(the_carrier(X2)))
| ~ top_str(X2)
| ~ topological_space(X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_56,plain,
( element(X1,X2)
| ~ element(X3,powerset(X2))
| ~ in(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_57,plain,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_58,plain,
empty(esk11_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_59,plain,
( ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != topstr_closure(X1,X2)
| ~ in(X4,the_carrier(X1))
| ~ disjoint(X2,X5)
| ~ in(X4,X5)
| ~ open_subset(X5,X1)
| ~ element(X5,powerset(the_carrier(X1)))
| ~ in(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_60,plain,
element(X1,powerset(X1)),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_61,negated_conjecture,
( empty(the_carrier(esk1_0))
| in(esk3_0,the_carrier(esk1_0)) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_62,negated_conjecture,
~ empty(the_carrier(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_48]),c_0_50]),c_0_51])]),c_0_52]) ).
fof(c_0_63,plain,
! [X3,X4] :
( ~ disjoint(X3,X4)
| disjoint(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_r1_xboole_0])]) ).
cnf(c_0_64,plain,
( disjoint(X1,X2)
| ~ disjoint(X3,X2)
| ~ subset(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_65,plain,
( subset(interior(X1,X2),X2)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_66,plain,
( point_neighbourhood(X1,X2,X3)
| empty_carrier(X2)
| ~ topological_space(X2)
| ~ open_subset(X1,X2)
| ~ element(X1,powerset(the_carrier(X2)))
| ~ top_str(X2)
| ~ in(X3,X1) ),
inference(csr,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_67,plain,
( in(X4,X3)
| open_subset(esk5_4(X1,X2,X3,X4),X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != topstr_closure(X1,X2)
| ~ in(X4,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_68,plain,
( in(X4,X3)
| element(esk5_4(X1,X2,X3,X4),powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != topstr_closure(X1,X2)
| ~ in(X4,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_69,plain,
( X1 = esk11_1(X2)
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_70,plain,
( topstr_closure(X1,X2) != the_carrier(X1)
| ~ disjoint(X2,X3)
| ~ open_subset(X3,X1)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ in(X4,the_carrier(X1))
| ~ in(X4,X3) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_71,negated_conjecture,
in(esk3_0,the_carrier(esk1_0)),
inference(sr,[status(thm)],[c_0_61,c_0_62]) ).
fof(c_0_72,plain,
! [X3,X4] :
( ~ topological_space(X3)
| ~ top_str(X3)
| ~ element(X4,powerset(the_carrier(X3)))
| open_subset(interior(X3,X4),X3) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t51_tops_1])])])])]) ).
cnf(c_0_73,plain,
( disjoint(X1,X2)
| ~ disjoint(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_74,plain,
( disjoint(interior(X1,X2),X3)
| ~ disjoint(X2,X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_75,negated_conjecture,
( in(esk3_0,topstr_closure(esk1_0,esk2_0))
| ~ disjoint(X1,esk2_0)
| ~ point_neighbourhood(X1,esk1_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_76,plain,
( point_neighbourhood(esk5_4(X1,X2,X3,X4),X1,X5)
| empty_carrier(X1)
| in(X4,X3)
| X3 != topstr_closure(X1,X2)
| ~ topological_space(X1)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ in(X5,esk5_4(X1,X2,X3,X4))
| ~ in(X4,the_carrier(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).
cnf(c_0_77,plain,
( in(X4,X3)
| disjoint(X2,esk5_4(X1,X2,X3,X4))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != topstr_closure(X1,X2)
| ~ in(X4,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_78,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_79,plain,
element(esk11_1(X1),powerset(X1)),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_80,plain,
esk11_1(X1) = esk11_1(X2),
inference(spm,[status(thm)],[c_0_69,c_0_58]) ).
cnf(c_0_81,negated_conjecture,
( topstr_closure(esk1_0,X1) != the_carrier(esk1_0)
| ~ disjoint(X1,X2)
| ~ open_subset(X2,esk1_0)
| ~ element(X2,powerset(the_carrier(esk1_0)))
| ~ element(X1,powerset(the_carrier(esk1_0)))
| ~ in(esk3_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_51])]) ).
cnf(c_0_82,plain,
( open_subset(interior(X1,X2),X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_83,plain,
( disjoint(X1,interior(X2,X3))
| ~ disjoint(X3,X1)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ top_str(X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_84,negated_conjecture,
( disjoint(esk4_0,esk2_0)
| ~ in(esk3_0,topstr_closure(esk1_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_85,negated_conjecture,
( point_neighbourhood(esk4_0,esk1_0,esk3_0)
| ~ in(esk3_0,topstr_closure(esk1_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_86,negated_conjecture,
( in(esk3_0,topstr_closure(esk1_0,esk2_0))
| in(X1,X2)
| X2 != topstr_closure(esk1_0,X3)
| ~ disjoint(esk5_4(esk1_0,X3,X2,X1),esk2_0)
| ~ element(X2,powerset(the_carrier(esk1_0)))
| ~ element(X3,powerset(the_carrier(esk1_0)))
| ~ in(esk3_0,esk5_4(esk1_0,X3,X2,X1))
| ~ in(X1,the_carrier(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_50]),c_0_51])]),c_0_52]) ).
cnf(c_0_87,plain,
( disjoint(esk5_4(X1,X2,X3,X4),X2)
| in(X4,X3)
| X3 != topstr_closure(X1,X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ in(X4,the_carrier(X1)) ),
inference(spm,[status(thm)],[c_0_73,c_0_77]) ).
cnf(c_0_88,negated_conjecture,
element(esk2_0,powerset(the_carrier(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_89,plain,
( disjoint(X1,X2)
| ~ disjoint(X3,X2)
| ~ element(X1,powerset(X3)) ),
inference(spm,[status(thm)],[c_0_64,c_0_78]) ).
cnf(c_0_90,plain,
element(esk11_1(X1),powerset(X2)),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_91,plain,
( X3 = topstr_closure(X1,X2)
| disjoint(X2,esk7_3(X1,X2,X3))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ in(esk6_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_92,negated_conjecture,
( topstr_closure(esk1_0,X1) != the_carrier(esk1_0)
| ~ disjoint(X1,interior(esk1_0,X2))
| ~ element(interior(esk1_0,X2),powerset(the_carrier(esk1_0)))
| ~ element(X1,powerset(the_carrier(esk1_0)))
| ~ element(X2,powerset(the_carrier(esk1_0)))
| ~ in(esk3_0,interior(esk1_0,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_50]),c_0_51])]) ).
cnf(c_0_93,negated_conjecture,
( disjoint(esk2_0,interior(X1,esk4_0))
| ~ element(esk4_0,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ in(esk3_0,topstr_closure(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_94,negated_conjecture,
( in(esk3_0,interior(esk1_0,esk4_0))
| ~ in(esk3_0,topstr_closure(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_85]),c_0_50]),c_0_48]),c_0_51])]),c_0_52]) ).
cnf(c_0_95,negated_conjecture,
( element(esk4_0,powerset(the_carrier(esk1_0)))
| ~ in(esk3_0,topstr_closure(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_85]),c_0_50]),c_0_48]),c_0_51])]),c_0_52]) ).
cnf(c_0_96,negated_conjecture,
( in(esk3_0,topstr_closure(esk1_0,esk2_0))
| in(X1,X2)
| X2 != topstr_closure(esk1_0,esk2_0)
| ~ element(X2,powerset(the_carrier(esk1_0)))
| ~ in(esk3_0,esk5_4(esk1_0,esk2_0,X2,X1))
| ~ in(X1,the_carrier(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]),c_0_51])]) ).
cnf(c_0_97,plain,
( in(X4,X3)
| in(X4,esk5_4(X1,X2,X3,X4))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| X3 != topstr_closure(X1,X2)
| ~ in(X4,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_98,plain,
( disjoint(esk11_1(X1),X2)
| ~ disjoint(X3,X2) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_99,plain,
( X1 = topstr_closure(X2,X3)
| disjoint(esk7_3(X2,X3,X1),X3)
| ~ element(X1,powerset(the_carrier(X2)))
| ~ element(X3,powerset(the_carrier(X2)))
| ~ top_str(X2)
| ~ in(esk6_3(X2,X3,X1),X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_91]) ).
cnf(c_0_100,negated_conjecture,
( topstr_closure(esk1_0,esk2_0) != the_carrier(esk1_0)
| ~ element(interior(esk1_0,esk4_0),powerset(the_carrier(esk1_0)))
| ~ in(esk3_0,topstr_closure(esk1_0,esk2_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_92,c_0_93]),c_0_88]),c_0_51])]),c_0_94]),c_0_95]) ).
cnf(c_0_101,negated_conjecture,
( in(esk3_0,topstr_closure(esk1_0,esk2_0))
| in(esk3_0,X1)
| X1 != topstr_closure(esk1_0,esk2_0)
| ~ element(X1,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_96,c_0_97]),c_0_71]),c_0_88]),c_0_51])]) ).
cnf(c_0_102,plain,
( X1 = topstr_closure(X2,X3)
| disjoint(esk11_1(X4),X3)
| ~ element(X1,powerset(the_carrier(X2)))
| ~ element(X3,powerset(the_carrier(X2)))
| ~ top_str(X2)
| ~ in(esk6_3(X2,X3,X1),X1) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_103,plain,
( X3 = topstr_closure(X1,X2)
| in(esk6_3(X1,X2,X3),the_carrier(X1))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_104,negated_conjecture,
( topstr_closure(esk1_0,esk2_0) != the_carrier(esk1_0)
| ~ in(esk3_0,topstr_closure(esk1_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_30]),c_0_51])]),c_0_95]) ).
cnf(c_0_105,negated_conjecture,
( in(esk3_0,topstr_closure(esk1_0,esk2_0))
| ~ element(topstr_closure(esk1_0,esk2_0),powerset(the_carrier(esk1_0))) ),
inference(er,[status(thm)],[c_0_101]) ).
fof(c_0_106,plain,
! [X3,X4] :
( ~ top_str(X3)
| ~ element(X4,powerset(the_carrier(X3)))
| element(topstr_closure(X3,X4),powerset(the_carrier(X3))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_pre_topc])]) ).
cnf(c_0_107,plain,
( topstr_closure(X1,X2) = the_carrier(X1)
| disjoint(esk11_1(X3),X2)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_60])]) ).
cnf(c_0_108,negated_conjecture,
( topstr_closure(esk1_0,esk2_0) != the_carrier(esk1_0)
| ~ element(topstr_closure(esk1_0,esk2_0),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_109,plain,
( element(topstr_closure(X1,X2),powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
fof(c_0_110,plain,
! [X3,X4] :
( ~ in(X3,X4)
| element(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_111,negated_conjecture,
( topstr_closure(esk1_0,esk2_0) = the_carrier(esk1_0)
| disjoint(esk11_1(X1),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_88]),c_0_51])]) ).
cnf(c_0_112,negated_conjecture,
topstr_closure(esk1_0,esk2_0) != the_carrier(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_88]),c_0_51])]) ).
cnf(c_0_113,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_114,negated_conjecture,
disjoint(esk11_1(X1),esk2_0),
inference(sr,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_115,negated_conjecture,
( element(esk3_0,topstr_closure(esk1_0,esk2_0))
| ~ element(topstr_closure(esk1_0,esk2_0),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_113,c_0_105]) ).
cnf(c_0_116,plain,
( point_neighbourhood(interior(X1,X2),X1,X3)
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ in(X3,interior(X1,X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_82]),c_0_30]) ).
cnf(c_0_117,negated_conjecture,
( disjoint(esk2_0,interior(X1,esk11_1(X2)))
| ~ top_str(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_114]),c_0_90])]) ).
cnf(c_0_118,negated_conjecture,
element(esk3_0,topstr_closure(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_109]),c_0_88]),c_0_51])]) ).
fof(c_0_119,plain,
! [X3,X4] :
( ~ in(X3,X4)
| ~ empty(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
cnf(c_0_120,negated_conjecture,
( in(esk3_0,topstr_closure(esk1_0,esk2_0))
| ~ disjoint(interior(esk1_0,X1),esk2_0)
| ~ element(X1,powerset(the_carrier(esk1_0)))
| ~ in(esk3_0,interior(esk1_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_116]),c_0_50]),c_0_51])]),c_0_52]) ).
cnf(c_0_121,negated_conjecture,
( disjoint(interior(X1,esk11_1(X2)),esk2_0)
| ~ top_str(X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_117]) ).
cnf(c_0_122,negated_conjecture,
( empty(topstr_closure(esk1_0,esk2_0))
| in(esk3_0,topstr_closure(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_47,c_0_118]) ).
cnf(c_0_123,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_124,negated_conjecture,
( in(esk3_0,topstr_closure(esk1_0,esk2_0))
| ~ in(esk3_0,interior(esk1_0,esk11_1(X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_90]),c_0_51])]) ).
cnf(c_0_125,negated_conjecture,
( esk11_1(X1) = topstr_closure(esk1_0,esk2_0)
| in(esk3_0,topstr_closure(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_69,c_0_122]) ).
cnf(c_0_126,plain,
( X1 = topstr_closure(X2,X3)
| ~ element(X1,powerset(the_carrier(X2)))
| ~ element(X3,powerset(the_carrier(X2)))
| ~ top_str(X2)
| ~ empty(the_carrier(X2)) ),
inference(spm,[status(thm)],[c_0_123,c_0_103]) ).
cnf(c_0_127,negated_conjecture,
( in(esk3_0,topstr_closure(esk1_0,esk2_0))
| ~ in(esk3_0,interior(esk1_0,topstr_closure(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_128,plain,
( interior(X1,X2) = topstr_closure(X1,X3)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ empty(the_carrier(X1)) ),
inference(spm,[status(thm)],[c_0_126,c_0_30]) ).
cnf(c_0_129,negated_conjecture,
( element(topstr_closure(esk1_0,esk2_0),powerset(X1))
| in(esk3_0,topstr_closure(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_90,c_0_125]) ).
cnf(c_0_130,negated_conjecture,
( in(esk3_0,topstr_closure(esk1_0,esk2_0))
| ~ element(X1,powerset(the_carrier(esk1_0)))
| ~ in(esk3_0,topstr_closure(esk1_0,X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_51])]),c_0_105]),c_0_129]) ).
cnf(c_0_131,plain,
( topstr_closure(X1,X2) != topstr_closure(X1,X3)
| ~ disjoint(X3,X4)
| ~ open_subset(X4,X1)
| ~ element(X4,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ in(X5,topstr_closure(X1,X2))
| ~ in(X5,the_carrier(X1))
| ~ in(X5,X4) ),
inference(spm,[status(thm)],[c_0_59,c_0_109]) ).
cnf(c_0_132,negated_conjecture,
in(esk3_0,topstr_closure(esk1_0,esk2_0)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_105]),c_0_88])]),c_0_129]) ).
cnf(c_0_133,negated_conjecture,
( topstr_closure(esk1_0,esk2_0) != topstr_closure(esk1_0,X1)
| ~ disjoint(X1,X2)
| ~ open_subset(X2,esk1_0)
| ~ element(X2,powerset(the_carrier(esk1_0)))
| ~ element(X1,powerset(the_carrier(esk1_0)))
| ~ in(esk3_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_88]),c_0_51]),c_0_71])]) ).
cnf(c_0_134,negated_conjecture,
( element(esk4_0,powerset(the_carrier(esk1_0)))
| ~ element(topstr_closure(esk1_0,esk2_0),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_95,c_0_105]) ).
cnf(c_0_135,negated_conjecture,
( topstr_closure(esk1_0,esk2_0) != topstr_closure(esk1_0,X1)
| ~ disjoint(X1,interior(esk1_0,X2))
| ~ element(interior(esk1_0,X2),powerset(the_carrier(esk1_0)))
| ~ element(X1,powerset(the_carrier(esk1_0)))
| ~ element(X2,powerset(the_carrier(esk1_0)))
| ~ in(esk3_0,interior(esk1_0,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_82]),c_0_50]),c_0_51])]) ).
cnf(c_0_136,negated_conjecture,
( disjoint(esk2_0,interior(X1,esk4_0))
| ~ element(esk4_0,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_132])]) ).
cnf(c_0_137,negated_conjecture,
element(esk4_0,powerset(the_carrier(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_109]),c_0_88]),c_0_51])]) ).
cnf(c_0_138,negated_conjecture,
in(esk3_0,interior(esk1_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_132])]) ).
cnf(c_0_139,negated_conjecture,
~ element(interior(esk1_0,esk4_0),powerset(the_carrier(esk1_0))),
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_135,c_0_136]),c_0_88]),c_0_137]),c_0_138]),c_0_51])]) ).
cnf(c_0_140,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_30]),c_0_137]),c_0_51])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU372+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : run_ET %s %d
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jun 19 06:27:44 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.36/18.55 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.36/18.55 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.36/18.55 # Preprocessing time : 0.019 s
% 0.36/18.55
% 0.36/18.55 # Proof found!
% 0.36/18.55 # SZS status Theorem
% 0.36/18.55 # SZS output start CNFRefutation
% See solution above
% 0.36/18.55 # Proof object total steps : 141
% 0.36/18.55 # Proof object clause steps : 98
% 0.36/18.55 # Proof object formula steps : 43
% 0.36/18.55 # Proof object conjectures : 49
% 0.36/18.55 # Proof object clause conjectures : 46
% 0.36/18.55 # Proof object formula conjectures : 3
% 0.36/18.55 # Proof object initial clauses used : 36
% 0.36/18.55 # Proof object initial formulas used : 21
% 0.36/18.55 # Proof object generating inferences : 56
% 0.36/18.55 # Proof object simplifying inferences : 93
% 0.36/18.55 # Training examples: 0 positive, 0 negative
% 0.36/18.55 # Parsed axioms : 50
% 0.36/18.55 # Removed by relevancy pruning/SinE : 24
% 0.36/18.55 # Initial clauses : 47
% 0.36/18.55 # Removed in clause preprocessing : 0
% 0.36/18.55 # Initial clauses in saturation : 47
% 0.36/18.55 # Processed clauses : 35351
% 0.36/18.55 # ...of these trivial : 898
% 0.36/18.55 # ...subsumed : 29325
% 0.36/18.55 # ...remaining for further processing : 5128
% 0.36/18.55 # Other redundant clauses eliminated : 0
% 0.36/18.55 # Clauses deleted for lack of memory : 209335
% 0.36/18.55 # Backward-subsumed : 256
% 0.36/18.55 # Backward-rewritten : 743
% 0.36/18.55 # Generated clauses : 444751
% 0.36/18.55 # ...of the previous two non-trivial : 410487
% 0.36/18.55 # Contextual simplify-reflections : 29247
% 0.36/18.55 # Paramodulations : 444726
% 0.36/18.55 # Factorizations : 0
% 0.36/18.55 # Equation resolutions : 3
% 0.36/18.55 # Current number of processed clauses : 4107
% 0.36/18.55 # Positive orientable unit clauses : 497
% 0.36/18.55 # Positive unorientable unit clauses: 6
% 0.36/18.55 # Negative unit clauses : 33
% 0.36/18.55 # Non-unit-clauses : 3571
% 0.36/18.55 # Current number of unprocessed clauses: 142006
% 0.36/18.55 # ...number of literals in the above : 739587
% 0.36/18.55 # Current number of archived formulas : 0
% 0.36/18.55 # Current number of archived clauses : 1021
% 0.36/18.55 # Clause-clause subsumption calls (NU) : 9722641
% 0.36/18.55 # Rec. Clause-clause subsumption calls : 2037430
% 0.36/18.55 # Non-unit clause-clause subsumptions : 56315
% 0.36/18.55 # Unit Clause-clause subsumption calls : 61298
% 0.36/18.55 # Rewrite failures with RHS unbound : 119
% 0.36/18.55 # BW rewrite match attempts : 11986
% 0.36/18.55 # BW rewrite match successes : 73
% 0.36/18.55 # Condensation attempts : 0
% 0.36/18.55 # Condensation successes : 0
% 0.36/18.55 # Termbank termtop insertions : 12067975
% 0.36/18.55
% 0.36/18.55 # -------------------------------------------------
% 0.36/18.55 # User time : 17.094 s
% 0.36/18.55 # System time : 0.128 s
% 0.36/18.55 # Total time : 17.222 s
% 0.36/18.55 # Maximum resident set size: 143996 pages
% 0.36/23.42 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.36/23.42
% 0.36/23.43 eprover: CPU time limit exceeded, terminating
% 0.36/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.44 eprover: No such file or directory
% 0.36/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.44 eprover: No such file or directory
% 0.36/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.45 eprover: No such file or directory
% 0.36/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.45 eprover: No such file or directory
% 0.36/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.45 eprover: No such file or directory
% 0.36/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.45 eprover: No such file or directory
% 0.36/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.45 eprover: No such file or directory
% 0.36/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.45 eprover: No such file or directory
% 0.36/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.45 eprover: No such file or directory
% 0.36/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.46 eprover: No such file or directory
% 0.36/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.46 eprover: No such file or directory
% 0.36/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.46 eprover: No such file or directory
% 0.36/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.46 eprover: No such file or directory
% 0.36/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.46 eprover: No such file or directory
% 0.36/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.46 eprover: No such file or directory
% 0.36/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.46 eprover: No such file or directory
% 0.36/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.47 eprover: No such file or directory
% 0.36/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.47 eprover: No such file or directory
% 0.36/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.47 eprover: No such file or directory
% 0.36/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.47 eprover: No such file or directory
% 0.36/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.47 eprover: No such file or directory
% 0.36/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.47 eprover: No such file or directory
% 0.36/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.48 eprover: No such file or directory
% 0.36/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.48 eprover: No such file or directory
% 0.36/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.48 eprover: No such file or directory
% 0.36/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.48 eprover: No such file or directory
% 0.36/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.48 eprover: No such file or directory
% 0.36/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.48 eprover: No such file or directory
% 0.36/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.48 eprover: No such file or directory
% 0.36/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.49 eprover: No such file or directory
% 0.36/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.49 eprover: No such file or directory
% 0.36/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.49 eprover: No such file or directory
% 0.36/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------