TSTP Solution File: SEU336+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU336+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n008.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 09:19:06 EDT 2022
% Result : Theorem 0.23s 3.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 65 ( 5 unt; 0 def)
% Number of atoms : 290 ( 21 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 388 ( 163 ~; 177 |; 16 &)
% ( 8 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 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 : 128 ( 0 sgn 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(t16_tops_2,conjecture,
! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(powerset(the_carrier(X1))))
=> ( closed_subsets(X2,X1)
<=> open_subsets(complements_of_subsets(the_carrier(X1),X2),X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t16_tops_2) ).
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(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(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(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(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(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] :
( ( ~ 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])])])])])])]) ).
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))))
=> ( closed_subsets(X2,X1)
<=> open_subsets(complements_of_subsets(the_carrier(X1),X2),X1) ) ) ),
inference(assume_negation,[status(cth)],[t16_tops_2]) ).
fof(c_0_14,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_15,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_16,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_11]) ).
cnf(c_0_17,plain,
( element(X1,X2)
| ~ element(X3,powerset(X2))
| ~ in(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_18,negated_conjecture,
( top_str(esk10_0)
& element(esk11_0,powerset(powerset(the_carrier(esk10_0))))
& ( ~ closed_subsets(esk11_0,esk10_0)
| ~ open_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0) )
& ( closed_subsets(esk11_0,esk10_0)
| open_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_19,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])])])])])])]) ).
cnf(c_0_20,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_14]) ).
cnf(c_0_21,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_15]) ).
cnf(c_0_22,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_14]) ).
cnf(c_0_23,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_16,c_0_17]) ).
cnf(c_0_24,negated_conjecture,
( open_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0)
| closed_subsets(esk11_0,esk10_0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,negated_conjecture,
top_str(esk10_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,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_19]) ).
cnf(c_0_27,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_20,c_0_21]),c_0_22]) ).
cnf(c_0_28,negated_conjecture,
( closed_subsets(esk11_0,esk10_0)
| open_subset(X1,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_23,c_0_24]),c_0_25])]) ).
cnf(c_0_29,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_26,c_0_17]) ).
cnf(c_0_30,negated_conjecture,
element(esk11_0,powerset(powerset(the_carrier(esk10_0)))),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_31,negated_conjecture,
( closed_subsets(esk11_0,esk10_0)
| closed_subsets(X1,esk10_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(subset_complement(the_carrier(esk10_0),esk2_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_27,c_0_28]),c_0_25])]) ).
cnf(c_0_32,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_29,c_0_30]) ).
cnf(c_0_33,negated_conjecture,
( closed_subsets(esk11_0,esk10_0)
| closed_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(esk2_2(esk10_0,X1),esk11_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_34,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_14]) ).
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,
( closed_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_30]),c_0_25])]) ).
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])]) ).
cnf(c_0_39,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_14]) ).
cnf(c_0_40,negated_conjecture,
( closed_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_30])]) ).
cnf(c_0_41,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_42,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_43,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_39,c_0_17]) ).
cnf(c_0_44,negated_conjecture,
closed_subsets(esk11_0,esk10_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_30])]) ).
fof(c_0_45,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_46,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_42]) ).
cnf(c_0_47,negated_conjecture,
( closed_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_43,c_0_44]),c_0_25]),c_0_30])]) ).
cnf(c_0_48,plain,
( element(subset_complement(X1,X2),powerset(X1))
| ~ element(X2,powerset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_49,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_11]) ).
cnf(c_0_50,negated_conjecture,
( open_subset(X1,esk10_0)
| ~ element(X1,powerset(the_carrier(esk10_0)))
| ~ in(subset_complement(the_carrier(esk10_0),X1),esk11_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_25])]) ).
cnf(c_0_51,plain,
( in(subset_complement(X1,X2),X3)
| complements_of_subsets(X1,X4) != complements_of_subsets(X1,X3)
| ~ element(X3,powerset(powerset(X1)))
| ~ element(X4,powerset(powerset(X1)))
| ~ in(X2,complements_of_subsets(X1,X4)) ),
inference(spm,[status(thm)],[c_0_29,c_0_41]) ).
cnf(c_0_52,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_11]) ).
cnf(c_0_53,plain,
( element(X1,X2)
| ~ element(X3,powerset(X2))
| ~ in(X1,subset_complement(X2,X3)) ),
inference(spm,[status(thm)],[c_0_17,c_0_48]) ).
fof(c_0_54,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_55,negated_conjecture,
( open_subsets(X1,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)),esk11_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_25])]) ).
cnf(c_0_56,plain,
( open_subsets(complements_of_subsets(X1,X2),X3)
| in(subset_complement(X1,esk1_2(X3,complements_of_subsets(X1,X2))),X4)
| complements_of_subsets(X1,X2) != complements_of_subsets(X1,X4)
| ~ top_str(X3)
| ~ element(complements_of_subsets(X1,X2),powerset(powerset(the_carrier(X3))))
| ~ element(X4,powerset(powerset(X1)))
| ~ element(X2,powerset(powerset(X1))) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,plain,
( open_subsets(subset_complement(X1,X2),X3)
| element(esk1_2(X3,subset_complement(X1,X2)),X1)
| ~ top_str(X3)
| ~ element(subset_complement(X1,X2),powerset(powerset(the_carrier(X3))))
| ~ element(X2,powerset(X1)) ),
inference(spm,[status(thm)],[c_0_53,c_0_52]) ).
cnf(c_0_58,plain,
( subset_complement(X1,subset_complement(X1,X2)) = X2
| ~ element(X2,powerset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_59,negated_conjecture,
( ~ open_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0)
| ~ closed_subsets(esk11_0,esk10_0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_60,negated_conjecture,
( open_subsets(complements_of_subsets(the_carrier(esk10_0),X1),esk10_0)
| complements_of_subsets(the_carrier(esk10_0),X1) != complements_of_subsets(the_carrier(esk10_0),esk11_0)
| ~ element(esk1_2(esk10_0,complements_of_subsets(the_carrier(esk10_0),X1)),powerset(the_carrier(esk10_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_55,c_0_56]),c_0_25]),c_0_30])]),c_0_41]) ).
cnf(c_0_61,plain,
( open_subsets(X1,X2)
| element(esk1_2(X2,X1),X3)
| ~ top_str(X2)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ element(X1,powerset(X3)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_48]) ).
cnf(c_0_62,negated_conjecture,
~ open_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_44])]) ).
cnf(c_0_63,negated_conjecture,
( open_subsets(complements_of_subsets(the_carrier(esk10_0),X1),esk10_0)
| complements_of_subsets(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(spm,[status(thm)],[c_0_60,c_0_61]),c_0_25])]),c_0_41]) ).
cnf(c_0_64,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU336+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 20 03:19:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.23/3.42 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.23/3.42 # Preprocessing time : 0.018 s
% 0.23/3.42
% 0.23/3.42 # Proof found!
% 0.23/3.42 # SZS status Theorem
% 0.23/3.42 # SZS output start CNFRefutation
% See solution above
% 0.23/3.42 # Proof object total steps : 65
% 0.23/3.42 # Proof object clause steps : 42
% 0.23/3.42 # Proof object formula steps : 23
% 0.23/3.42 # Proof object conjectures : 21
% 0.23/3.42 # Proof object clause conjectures : 18
% 0.23/3.42 # Proof object formula conjectures : 3
% 0.23/3.42 # Proof object initial clauses used : 19
% 0.23/3.42 # Proof object initial formulas used : 11
% 0.23/3.42 # Proof object generating inferences : 19
% 0.23/3.42 # Proof object simplifying inferences : 34
% 0.23/3.42 # Training examples: 0 positive, 0 negative
% 0.23/3.42 # Parsed axioms : 49
% 0.23/3.42 # Removed by relevancy pruning/SinE : 0
% 0.23/3.42 # Initial clauses : 101
% 0.23/3.42 # Removed in clause preprocessing : 5
% 0.23/3.42 # Initial clauses in saturation : 96
% 0.23/3.42 # Processed clauses : 10104
% 0.23/3.42 # ...of these trivial : 24
% 0.23/3.42 # ...subsumed : 5283
% 0.23/3.42 # ...remaining for further processing : 4797
% 0.23/3.42 # Other redundant clauses eliminated : 1
% 0.23/3.42 # Clauses deleted for lack of memory : 0
% 0.23/3.42 # Backward-subsumed : 359
% 0.23/3.42 # Backward-rewritten : 162
% 0.23/3.42 # Generated clauses : 68879
% 0.23/3.42 # ...of the previous two non-trivial : 65572
% 0.23/3.42 # Contextual simplify-reflections : 5699
% 0.23/3.42 # Paramodulations : 68379
% 0.23/3.42 # Factorizations : 0
% 0.23/3.42 # Equation resolutions : 7
% 0.23/3.42 # Current number of processed clauses : 4020
% 0.23/3.42 # Positive orientable unit clauses : 66
% 0.23/3.42 # Positive unorientable unit clauses: 0
% 0.23/3.42 # Negative unit clauses : 71
% 0.23/3.42 # Non-unit-clauses : 3883
% 0.23/3.42 # Current number of unprocessed clauses: 49132
% 0.23/3.42 # ...number of literals in the above : 365736
% 0.23/3.42 # Current number of archived formulas : 0
% 0.23/3.42 # Current number of archived clauses : 521
% 0.23/3.42 # Clause-clause subsumption calls (NU) : 8006029
% 0.23/3.42 # Rec. Clause-clause subsumption calls : 1017546
% 0.23/3.42 # Non-unit clause-clause subsumptions : 11185
% 0.23/3.42 # Unit Clause-clause subsumption calls : 157614
% 0.23/3.42 # Rewrite failures with RHS unbound : 0
% 0.23/3.42 # BW rewrite match attempts : 49
% 0.23/3.42 # BW rewrite match successes : 47
% 0.23/3.42 # Condensation attempts : 0
% 0.23/3.42 # Condensation successes : 0
% 0.23/3.42 # Termbank termtop insertions : 2196619
% 0.23/3.42
% 0.23/3.42 # -------------------------------------------------
% 0.23/3.42 # User time : 2.886 s
% 0.23/3.42 # System time : 0.043 s
% 0.23/3.42 # Total time : 2.929 s
% 0.23/3.42 # Maximum resident set size: 60136 pages
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: CPU time limit exceeded, terminating
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.50 eprover: No such file or directory
% 0.23/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.51 eprover: No such file or directory
%------------------------------------------------------------------------------