TSTP Solution File: SEU337+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU337+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n004.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 09:19:07 EDT 2022
% Result : Theorem 0.25s 3.43s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 64 ( 6 unt; 0 def)
% Number of atoms : 281 ( 21 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 374 ( 157 ~; 169 |; 16 &)
% ( 8 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 120 ( 0 sgn 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d2_tops_2,axiom,
! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(powerset(the_carrier(X1))))
=> ( closed_subsets(X2,X1)
<=> ! [X3] :
( element(X3,powerset(the_carrier(X1)))
=> ( in(X3,X2)
=> closed_subset(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d2_tops_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(t17_tops_2,conjecture,
! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(powerset(the_carrier(X1))))
=> ( open_subsets(X2,X1)
<=> closed_subsets(complements_of_subsets(the_carrier(X1),X2),X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t17_tops_2) ).
fof(t30_tops_1,axiom,
! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ( open_subset(X2,X1)
<=> closed_subset(subset_complement(the_carrier(X1),X2),X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t30_tops_1) ).
fof(d8_setfam_1,axiom,
! [X1,X2] :
( element(X2,powerset(powerset(X1)))
=> ! [X3] :
( element(X3,powerset(powerset(X1)))
=> ( X3 = complements_of_subsets(X1,X2)
<=> ! [X4] :
( element(X4,powerset(X1))
=> ( in(X4,X3)
<=> in(subset_complement(X1,X4),X2) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d8_setfam_1) ).
fof(d1_tops_2,axiom,
! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(powerset(the_carrier(X1))))
=> ( open_subsets(X2,X1)
<=> ! [X3] :
( element(X3,powerset(the_carrier(X1)))
=> ( in(X3,X2)
=> open_subset(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d1_tops_2) ).
fof(involutiveness_k7_setfam_1,axiom,
! [X1,X2] :
( element(X2,powerset(powerset(X1)))
=> complements_of_subsets(X1,complements_of_subsets(X1,X2)) = X2 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',involutiveness_k7_setfam_1) ).
fof(dt_k7_setfam_1,axiom,
! [X1,X2] :
( element(X2,powerset(powerset(X1)))
=> element(complements_of_subsets(X1,X2),powerset(powerset(X1))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k7_setfam_1) ).
fof(t29_tops_1,axiom,
! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ( closed_subset(X2,X1)
<=> open_subset(subset_complement(the_carrier(X1),X2),X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t29_tops_1) ).
fof(dt_k3_subset_1,axiom,
! [X1,X2] :
( element(X2,powerset(X1))
=> element(subset_complement(X1,X2),powerset(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k3_subset_1) ).
fof(involutiveness_k3_subset_1,axiom,
! [X1,X2] :
( element(X2,powerset(X1))
=> subset_complement(X1,subset_complement(X1,X2)) = X2 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',involutiveness_k3_subset_1) ).
fof(c_0_11,plain,
! [X4,X5,X6] :
( ( ~ closed_subsets(X5,X4)
| ~ element(X6,powerset(the_carrier(X4)))
| ~ in(X6,X5)
| closed_subset(X6,X4)
| ~ element(X5,powerset(powerset(the_carrier(X4))))
| ~ top_str(X4) )
& ( element(esk2_2(X4,X5),powerset(the_carrier(X4)))
| closed_subsets(X5,X4)
| ~ element(X5,powerset(powerset(the_carrier(X4))))
| ~ top_str(X4) )
& ( in(esk2_2(X4,X5),X5)
| closed_subsets(X5,X4)
| ~ element(X5,powerset(powerset(the_carrier(X4))))
| ~ top_str(X4) )
& ( ~ closed_subset(esk2_2(X4,X5),X4)
| closed_subsets(X5,X4)
| ~ element(X5,powerset(powerset(the_carrier(X4))))
| ~ top_str(X4) ) ),
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)],[d2_tops_2])])])])])])]) ).
fof(c_0_12,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_13,negated_conjecture,
~ ! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(powerset(the_carrier(X1))))
=> ( open_subsets(X2,X1)
<=> closed_subsets(complements_of_subsets(the_carrier(X1),X2),X1) ) ) ),
inference(assume_negation,[status(cth)],[t17_tops_2]) ).
cnf(c_0_14,plain,
( closed_subset(X3,X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ in(X3,X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ closed_subsets(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
( element(X1,X2)
| ~ element(X3,powerset(X2))
| ~ in(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_16,negated_conjecture,
( top_str(esk10_0)
& element(esk11_0,powerset(powerset(the_carrier(esk10_0))))
& ( ~ open_subsets(esk11_0,esk10_0)
| ~ closed_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0) )
& ( open_subsets(esk11_0,esk10_0)
| closed_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0) ) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])]) ).
fof(c_0_17,plain,
! [X3,X4] :
( ( ~ open_subset(X4,X3)
| closed_subset(subset_complement(the_carrier(X3),X4),X3)
| ~ element(X4,powerset(the_carrier(X3)))
| ~ top_str(X3) )
& ( ~ closed_subset(subset_complement(the_carrier(X3),X4),X3)
| open_subset(X4,X3)
| ~ element(X4,powerset(the_carrier(X3)))
| ~ top_str(X3) ) ),
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)],[t30_tops_1])])])])])]) ).
cnf(c_0_18,plain,
( closed_subset(X1,X2)
| ~ closed_subsets(X3,X2)
| ~ top_str(X2)
| ~ element(X3,powerset(powerset(the_carrier(X2))))
| ~ in(X1,X3) ),
inference(csr,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
( closed_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0)
| open_subsets(esk11_0,esk10_0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,negated_conjecture,
top_str(esk10_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_21,plain,
! [X5,X6,X7,X8] :
( ( ~ in(X8,X7)
| in(subset_complement(X5,X8),X6)
| ~ element(X8,powerset(X5))
| X7 != complements_of_subsets(X5,X6)
| ~ element(X7,powerset(powerset(X5)))
| ~ element(X6,powerset(powerset(X5))) )
& ( ~ in(subset_complement(X5,X8),X6)
| in(X8,X7)
| ~ element(X8,powerset(X5))
| X7 != complements_of_subsets(X5,X6)
| ~ element(X7,powerset(powerset(X5)))
| ~ element(X6,powerset(powerset(X5))) )
& ( element(esk3_3(X5,X6,X7),powerset(X5))
| X7 = complements_of_subsets(X5,X6)
| ~ element(X7,powerset(powerset(X5)))
| ~ element(X6,powerset(powerset(X5))) )
& ( ~ in(esk3_3(X5,X6,X7),X7)
| ~ in(subset_complement(X5,esk3_3(X5,X6,X7)),X6)
| X7 = complements_of_subsets(X5,X6)
| ~ element(X7,powerset(powerset(X5)))
| ~ element(X6,powerset(powerset(X5))) )
& ( in(esk3_3(X5,X6,X7),X7)
| in(subset_complement(X5,esk3_3(X5,X6,X7)),X6)
| X7 = complements_of_subsets(X5,X6)
| ~ element(X7,powerset(powerset(X5)))
| ~ element(X6,powerset(powerset(X5))) ) ),
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)],[d8_setfam_1])])])])])])]) ).
fof(c_0_22,plain,
! [X4,X5,X6] :
( ( ~ open_subsets(X5,X4)
| ~ element(X6,powerset(the_carrier(X4)))
| ~ in(X6,X5)
| open_subset(X6,X4)
| ~ element(X5,powerset(powerset(the_carrier(X4))))
| ~ top_str(X4) )
& ( element(esk1_2(X4,X5),powerset(the_carrier(X4)))
| open_subsets(X5,X4)
| ~ element(X5,powerset(powerset(the_carrier(X4))))
| ~ top_str(X4) )
& ( in(esk1_2(X4,X5),X5)
| open_subsets(X5,X4)
| ~ element(X5,powerset(powerset(the_carrier(X4))))
| ~ top_str(X4) )
& ( ~ open_subset(esk1_2(X4,X5),X4)
| open_subsets(X5,X4)
| ~ element(X5,powerset(powerset(the_carrier(X4))))
| ~ top_str(X4) ) ),
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)],[d1_tops_2])])])])])])]) ).
cnf(c_0_23,plain,
( open_subset(X2,X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ closed_subset(subset_complement(the_carrier(X1),X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,negated_conjecture,
( closed_subset(X1,esk10_0)
| open_subsets(esk11_0,esk10_0)
| ~ element(complements_of_subsets(the_carrier(esk10_0),esk11_0),powerset(powerset(the_carrier(esk10_0))))
| ~ in(X1,complements_of_subsets(the_carrier(esk10_0),esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
cnf(c_0_25,plain,
( in(subset_complement(X2,X4),X1)
| ~ element(X1,powerset(powerset(X2)))
| ~ element(X3,powerset(powerset(X2)))
| X3 != complements_of_subsets(X2,X1)
| ~ element(X4,powerset(X2))
| ~ in(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
( open_subsets(X2,X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ open_subset(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,negated_conjecture,
( open_subset(X1,esk10_0)
| open_subsets(esk11_0,esk10_0)
| ~ element(complements_of_subsets(the_carrier(esk10_0),esk11_0),powerset(powerset(the_carrier(esk10_0))))
| ~ element(X1,powerset(the_carrier(esk10_0)))
| ~ in(subset_complement(the_carrier(esk10_0),X1),complements_of_subsets(the_carrier(esk10_0),esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_20])]) ).
cnf(c_0_28,plain,
( in(subset_complement(X1,X2),X3)
| X4 != complements_of_subsets(X1,X3)
| ~ element(X4,powerset(powerset(X1)))
| ~ element(X3,powerset(powerset(X1)))
| ~ in(X2,X4) ),
inference(csr,[status(thm)],[c_0_25,c_0_15]) ).
cnf(c_0_29,negated_conjecture,
element(esk11_0,powerset(powerset(the_carrier(esk10_0)))),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_30,negated_conjecture,
( open_subsets(esk11_0,esk10_0)
| open_subsets(X1,esk10_0)
| ~ element(complements_of_subsets(the_carrier(esk10_0),esk11_0),powerset(powerset(the_carrier(esk10_0))))
| ~ element(esk1_2(esk10_0,X1),powerset(the_carrier(esk10_0)))
| ~ element(X1,powerset(powerset(the_carrier(esk10_0))))
| ~ in(subset_complement(the_carrier(esk10_0),esk1_2(esk10_0,X1)),complements_of_subsets(the_carrier(esk10_0),esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_20])]) ).
cnf(c_0_31,negated_conjecture,
( in(subset_complement(the_carrier(esk10_0),X1),X2)
| complements_of_subsets(the_carrier(esk10_0),X2) != esk11_0
| ~ element(X2,powerset(powerset(the_carrier(esk10_0))))
| ~ in(X1,esk11_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,negated_conjecture,
( element(X1,powerset(the_carrier(esk10_0)))
| ~ in(X1,esk11_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
( open_subsets(esk11_0,esk10_0)
| open_subsets(X1,esk10_0)
| complements_of_subsets(the_carrier(esk10_0),complements_of_subsets(the_carrier(esk10_0),esk11_0)) != esk11_0
| ~ element(complements_of_subsets(the_carrier(esk10_0),esk11_0),powerset(powerset(the_carrier(esk10_0))))
| ~ element(X1,powerset(powerset(the_carrier(esk10_0))))
| ~ in(esk1_2(esk10_0,X1),esk11_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
cnf(c_0_34,plain,
( open_subsets(X2,X1)
| in(esk1_2(X1,X2),X2)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_35,plain,
! [X3,X4] :
( ~ element(X4,powerset(powerset(X3)))
| complements_of_subsets(X3,complements_of_subsets(X3,X4)) = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k7_setfam_1])]) ).
cnf(c_0_36,negated_conjecture,
( open_subsets(esk11_0,esk10_0)
| complements_of_subsets(the_carrier(esk10_0),complements_of_subsets(the_carrier(esk10_0),esk11_0)) != esk11_0
| ~ element(complements_of_subsets(the_carrier(esk10_0),esk11_0),powerset(powerset(the_carrier(esk10_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_29]),c_0_20])]) ).
cnf(c_0_37,plain,
( complements_of_subsets(X1,complements_of_subsets(X1,X2)) = X2
| ~ element(X2,powerset(powerset(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_38,plain,
! [X3,X4] :
( ~ element(X4,powerset(powerset(X3)))
| element(complements_of_subsets(X3,X4),powerset(powerset(X3))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_setfam_1])]) ).
fof(c_0_39,plain,
! [X3,X4] :
( ( ~ closed_subset(X4,X3)
| open_subset(subset_complement(the_carrier(X3),X4),X3)
| ~ element(X4,powerset(the_carrier(X3)))
| ~ top_str(X3) )
& ( ~ open_subset(subset_complement(the_carrier(X3),X4),X3)
| closed_subset(X4,X3)
| ~ element(X4,powerset(the_carrier(X3)))
| ~ top_str(X3) ) ),
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)],[t29_tops_1])])])])])]) ).
cnf(c_0_40,plain,
( open_subset(X3,X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ in(X3,X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ open_subsets(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_41,negated_conjecture,
( open_subsets(esk11_0,esk10_0)
| ~ element(complements_of_subsets(the_carrier(esk10_0),esk11_0),powerset(powerset(the_carrier(esk10_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_29])]) ).
cnf(c_0_42,plain,
( element(complements_of_subsets(X1,X2),powerset(powerset(X1)))
| ~ element(X2,powerset(powerset(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_43,plain,
! [X3,X4] :
( ~ element(X4,powerset(X3))
| element(subset_complement(X3,X4),powerset(X3)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_subset_1])]) ).
cnf(c_0_44,plain,
( closed_subsets(X2,X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ closed_subset(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_45,plain,
( closed_subset(X2,X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ open_subset(subset_complement(the_carrier(X1),X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_46,plain,
( closed_subsets(X2,X1)
| element(esk2_2(X1,X2),powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_47,plain,
( open_subset(X1,X2)
| ~ open_subsets(X3,X2)
| ~ top_str(X2)
| ~ element(X3,powerset(powerset(the_carrier(X2))))
| ~ in(X1,X3) ),
inference(csr,[status(thm)],[c_0_40,c_0_15]) ).
cnf(c_0_48,negated_conjecture,
open_subsets(esk11_0,esk10_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_29])]) ).
cnf(c_0_49,plain,
( element(subset_complement(X1,X2),powerset(X1))
| ~ element(X2,powerset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_50,plain,
( closed_subsets(X1,X2)
| ~ open_subset(subset_complement(the_carrier(X2),esk2_2(X2,X1)),X2)
| ~ top_str(X2)
| ~ element(X1,powerset(powerset(the_carrier(X2)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).
cnf(c_0_51,negated_conjecture,
( open_subset(X1,esk10_0)
| ~ in(X1,esk11_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_20]),c_0_29])]) ).
cnf(c_0_52,plain,
( in(subset_complement(X1,X2),X3)
| subset_complement(powerset(X1),X4) != complements_of_subsets(X1,X3)
| ~ element(X3,powerset(powerset(X1)))
| ~ element(X4,powerset(powerset(X1)))
| ~ in(X2,subset_complement(powerset(X1),X4)) ),
inference(spm,[status(thm)],[c_0_28,c_0_49]) ).
cnf(c_0_53,plain,
( closed_subsets(X2,X1)
| in(esk2_2(X1,X2),X2)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_54,negated_conjecture,
( closed_subsets(X1,esk10_0)
| ~ element(X1,powerset(powerset(the_carrier(esk10_0))))
| ~ in(subset_complement(the_carrier(esk10_0),esk2_2(esk10_0,X1)),esk11_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_20])]) ).
cnf(c_0_55,plain,
( closed_subsets(subset_complement(powerset(X1),X2),X3)
| in(subset_complement(X1,esk2_2(X3,subset_complement(powerset(X1),X2))),X4)
| subset_complement(powerset(X1),X2) != complements_of_subsets(X1,X4)
| ~ top_str(X3)
| ~ element(subset_complement(powerset(X1),X2),powerset(powerset(the_carrier(X3))))
| ~ element(X4,powerset(powerset(X1)))
| ~ element(X2,powerset(powerset(X1))) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
fof(c_0_56,plain,
! [X3,X4] :
( ~ element(X4,powerset(X3))
| subset_complement(X3,subset_complement(X3,X4)) = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k3_subset_1])]) ).
cnf(c_0_57,negated_conjecture,
( ~ closed_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0)
| ~ open_subsets(esk11_0,esk10_0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_58,negated_conjecture,
( closed_subsets(subset_complement(powerset(the_carrier(esk10_0)),X1),esk10_0)
| subset_complement(powerset(the_carrier(esk10_0)),X1) != complements_of_subsets(the_carrier(esk10_0),esk11_0)
| ~ element(X1,powerset(powerset(the_carrier(esk10_0)))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_20]),c_0_29])]),c_0_49]) ).
cnf(c_0_59,plain,
( subset_complement(X1,subset_complement(X1,X2)) = X2
| ~ element(X2,powerset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_60,negated_conjecture,
~ closed_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_48])]) ).
cnf(c_0_61,negated_conjecture,
( closed_subsets(X1,esk10_0)
| X1 != complements_of_subsets(the_carrier(esk10_0),esk11_0)
| ~ element(X1,powerset(powerset(the_carrier(esk10_0)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_49]) ).
cnf(c_0_62,negated_conjecture,
~ element(complements_of_subsets(the_carrier(esk10_0),esk11_0),powerset(powerset(the_carrier(esk10_0)))),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_63,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_42]),c_0_29])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU337+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 20 11:38:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.25/3.43 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.25/3.43 # Preprocessing time : 0.019 s
% 0.25/3.43
% 0.25/3.43 # Proof found!
% 0.25/3.43 # SZS status Theorem
% 0.25/3.43 # SZS output start CNFRefutation
% See solution above
% 0.25/3.43 # Proof object total steps : 64
% 0.25/3.43 # Proof object clause steps : 41
% 0.25/3.43 # Proof object formula steps : 23
% 0.25/3.43 # Proof object conjectures : 23
% 0.25/3.43 # Proof object clause conjectures : 20
% 0.25/3.43 # Proof object formula conjectures : 3
% 0.25/3.43 # Proof object initial clauses used : 19
% 0.25/3.43 # Proof object initial formulas used : 11
% 0.25/3.43 # Proof object generating inferences : 18
% 0.25/3.43 # Proof object simplifying inferences : 32
% 0.25/3.43 # Training examples: 0 positive, 0 negative
% 0.25/3.43 # Parsed axioms : 49
% 0.25/3.43 # Removed by relevancy pruning/SinE : 0
% 0.25/3.43 # Initial clauses : 101
% 0.25/3.43 # Removed in clause preprocessing : 5
% 0.25/3.43 # Initial clauses in saturation : 96
% 0.25/3.43 # Processed clauses : 9572
% 0.25/3.43 # ...of these trivial : 11
% 0.25/3.43 # ...subsumed : 4993
% 0.25/3.43 # ...remaining for further processing : 4568
% 0.25/3.43 # Other redundant clauses eliminated : 0
% 0.25/3.43 # Clauses deleted for lack of memory : 0
% 0.25/3.43 # Backward-subsumed : 299
% 0.25/3.43 # Backward-rewritten : 176
% 0.25/3.43 # Generated clauses : 66577
% 0.25/3.43 # ...of the previous two non-trivial : 62805
% 0.25/3.43 # Contextual simplify-reflections : 5423
% 0.25/3.43 # Paramodulations : 66015
% 0.25/3.43 # Factorizations : 0
% 0.25/3.43 # Equation resolutions : 3
% 0.25/3.43 # Current number of processed clauses : 3805
% 0.25/3.43 # Positive orientable unit clauses : 65
% 0.25/3.43 # Positive unorientable unit clauses: 0
% 0.25/3.43 # Negative unit clauses : 62
% 0.25/3.43 # Non-unit-clauses : 3678
% 0.25/3.43 # Current number of unprocessed clauses: 45584
% 0.25/3.43 # ...number of literals in the above : 330197
% 0.25/3.43 # Current number of archived formulas : 0
% 0.25/3.43 # Current number of archived clauses : 477
% 0.25/3.43 # Clause-clause subsumption calls (NU) : 7414090
% 0.25/3.43 # Rec. Clause-clause subsumption calls : 948154
% 0.25/3.43 # Non-unit clause-clause subsumptions : 10506
% 0.25/3.43 # Unit Clause-clause subsumption calls : 145258
% 0.25/3.43 # Rewrite failures with RHS unbound : 0
% 0.25/3.43 # BW rewrite match attempts : 48
% 0.25/3.43 # BW rewrite match successes : 46
% 0.25/3.43 # Condensation attempts : 0
% 0.25/3.43 # Condensation successes : 0
% 0.25/3.43 # Termbank termtop insertions : 2009196
% 0.25/3.43
% 0.25/3.43 # -------------------------------------------------
% 0.25/3.43 # User time : 2.698 s
% 0.25/3.43 # System time : 0.028 s
% 0.25/3.43 # Total time : 2.726 s
% 0.25/3.43 # Maximum resident set size: 55472 pages
% 0.25/23.41 eprover: CPU time limit exceeded, terminating
% 0.25/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43 eprover: No such file or directory
% 0.25/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43 eprover: No such file or directory
% 0.25/23.44 eprover: CPU time limit exceeded, terminating
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------