TSTP Solution File: SEU336+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SEU336+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:31:41 EDT 2023
% Result : Theorem 11.14s 1.89s
% Output : CNFRefutation 11.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 64 ( 11 unt; 0 def)
% Number of atoms : 252 ( 11 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 311 ( 123 ~; 142 |; 16 &)
% ( 8 <=>; 22 =>; 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 : 94 ( 0 sgn; 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/tmp/tmp.H1oQMqJ2kZ/E---3.1_30678.p',t16_tops_2) ).
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/sandbox2/tmp/tmp.H1oQMqJ2kZ/E---3.1_30678.p',d1_tops_2) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( in(X1,X2)
& element(X2,powerset(X3)) )
=> element(X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.H1oQMqJ2kZ/E---3.1_30678.p',t4_subset) ).
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/sandbox2/tmp/tmp.H1oQMqJ2kZ/E---3.1_30678.p',dt_k7_setfam_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/sandbox2/tmp/tmp.H1oQMqJ2kZ/E---3.1_30678.p',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/sandbox2/tmp/tmp.H1oQMqJ2kZ/E---3.1_30678.p',involutiveness_k7_setfam_1) ).
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/sandbox2/tmp/tmp.H1oQMqJ2kZ/E---3.1_30678.p',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/sandbox2/tmp/tmp.H1oQMqJ2kZ/E---3.1_30678.p',t29_tops_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/sandbox2/tmp/tmp.H1oQMqJ2kZ/E---3.1_30678.p',t30_tops_1) ).
fof(c_0_9,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_10,plain,
! [X32,X33,X34] :
( ( ~ open_subsets(X33,X32)
| ~ element(X34,powerset(the_carrier(X32)))
| ~ in(X34,X33)
| open_subset(X34,X32)
| ~ element(X33,powerset(powerset(the_carrier(X32))))
| ~ top_str(X32) )
& ( element(esk1_2(X32,X33),powerset(the_carrier(X32)))
| open_subsets(X33,X32)
| ~ element(X33,powerset(powerset(the_carrier(X32))))
| ~ top_str(X32) )
& ( in(esk1_2(X32,X33),X33)
| open_subsets(X33,X32)
| ~ element(X33,powerset(powerset(the_carrier(X32))))
| ~ top_str(X32) )
& ( ~ open_subset(esk1_2(X32,X33),X32)
| open_subsets(X33,X32)
| ~ element(X33,powerset(powerset(the_carrier(X32))))
| ~ top_str(X32) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_tops_2])])])])]) ).
fof(c_0_11,plain,
! [X77,X78,X79] :
( ~ in(X77,X78)
| ~ element(X78,powerset(X79))
| element(X77,X79) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(c_0_12,plain,
! [X47,X48] :
( ~ element(X48,powerset(powerset(X47)))
| element(complements_of_subsets(X47,X48),powerset(powerset(X47))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_setfam_1])]) ).
fof(c_0_13,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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
fof(c_0_14,plain,
! [X40,X41,X42,X43] :
( ( ~ in(X43,X42)
| in(subset_complement(X40,X43),X41)
| ~ element(X43,powerset(X40))
| X42 != complements_of_subsets(X40,X41)
| ~ element(X42,powerset(powerset(X40)))
| ~ element(X41,powerset(powerset(X40))) )
& ( ~ in(subset_complement(X40,X43),X41)
| in(X43,X42)
| ~ element(X43,powerset(X40))
| X42 != complements_of_subsets(X40,X41)
| ~ element(X42,powerset(powerset(X40)))
| ~ element(X41,powerset(powerset(X40))) )
& ( element(esk3_3(X40,X41,X42),powerset(X40))
| X42 = complements_of_subsets(X40,X41)
| ~ element(X42,powerset(powerset(X40)))
| ~ element(X41,powerset(powerset(X40))) )
& ( ~ in(esk3_3(X40,X41,X42),X42)
| ~ in(subset_complement(X40,esk3_3(X40,X41,X42)),X41)
| X42 = complements_of_subsets(X40,X41)
| ~ element(X42,powerset(powerset(X40)))
| ~ element(X41,powerset(powerset(X40))) )
& ( in(esk3_3(X40,X41,X42),X42)
| in(subset_complement(X40,esk3_3(X40,X41,X42)),X41)
| X42 = complements_of_subsets(X40,X41)
| ~ element(X42,powerset(powerset(X40)))
| ~ element(X41,powerset(powerset(X40))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_setfam_1])])])])]) ).
fof(c_0_15,plain,
! [X57,X58] :
( ~ element(X58,powerset(powerset(X57)))
| complements_of_subsets(X57,complements_of_subsets(X57,X58)) = X58 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k7_setfam_1])]) ).
cnf(c_0_16,plain,
( open_subset(X3,X2)
| ~ open_subsets(X1,X2)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ in(X3,X1)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
( element(X1,X3)
| ~ in(X1,X2)
| ~ element(X2,powerset(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
( element(complements_of_subsets(X2,X1),powerset(powerset(X2)))
| ~ element(X1,powerset(powerset(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
element(esk11_0,powerset(powerset(the_carrier(esk10_0)))),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
( in(subset_complement(X3,X1),X4)
| ~ in(X1,X2)
| ~ element(X1,powerset(X3))
| X2 != complements_of_subsets(X3,X4)
| ~ element(X2,powerset(powerset(X3)))
| ~ element(X4,powerset(powerset(X3))) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
( complements_of_subsets(X2,complements_of_subsets(X2,X1)) = X1
| ~ element(X1,powerset(powerset(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_22,plain,
! [X36,X37,X38] :
( ( ~ closed_subsets(X37,X36)
| ~ element(X38,powerset(the_carrier(X36)))
| ~ in(X38,X37)
| closed_subset(X38,X36)
| ~ element(X37,powerset(powerset(the_carrier(X36))))
| ~ top_str(X36) )
& ( element(esk2_2(X36,X37),powerset(the_carrier(X36)))
| closed_subsets(X37,X36)
| ~ element(X37,powerset(powerset(the_carrier(X36))))
| ~ top_str(X36) )
& ( in(esk2_2(X36,X37),X37)
| closed_subsets(X37,X36)
| ~ element(X37,powerset(powerset(the_carrier(X36))))
| ~ top_str(X36) )
& ( ~ closed_subset(esk2_2(X36,X37),X36)
| closed_subsets(X37,X36)
| ~ element(X37,powerset(powerset(the_carrier(X36))))
| ~ top_str(X36) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_tops_2])])])])]) ).
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,
element(complements_of_subsets(the_carrier(esk10_0),esk11_0),powerset(powerset(the_carrier(esk10_0)))),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,negated_conjecture,
top_str(esk10_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_26,plain,
( in(subset_complement(X1,X2),X3)
| ~ element(X3,powerset(powerset(X1)))
| ~ in(X2,complements_of_subsets(X1,X3)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(csr,[status(thm)],[c_0_20,c_0_17])]),c_0_18]) ).
cnf(c_0_27,negated_conjecture,
complements_of_subsets(the_carrier(esk10_0),complements_of_subsets(the_carrier(esk10_0),esk11_0)) = esk11_0,
inference(spm,[status(thm)],[c_0_21,c_0_19]) ).
cnf(c_0_28,plain,
( in(esk2_2(X1,X2),X2)
| closed_subsets(X2,X1)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_29,plain,
! [X69,X70] :
( ( ~ closed_subset(X70,X69)
| open_subset(subset_complement(the_carrier(X69),X70),X69)
| ~ element(X70,powerset(the_carrier(X69)))
| ~ top_str(X69) )
& ( ~ open_subset(subset_complement(the_carrier(X69),X70),X69)
| closed_subset(X70,X69)
| ~ element(X70,powerset(the_carrier(X69)))
| ~ top_str(X69) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t29_tops_1])])])]) ).
cnf(c_0_30,plain,
( element(esk2_2(X1,X2),powerset(the_carrier(X1)))
| closed_subsets(X2,X1)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,negated_conjecture,
( open_subset(X1,esk10_0)
| ~ open_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),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_32,negated_conjecture,
( closed_subsets(esk11_0,esk10_0)
| open_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_33,negated_conjecture,
( in(subset_complement(the_carrier(esk10_0),X1),complements_of_subsets(the_carrier(esk10_0),esk11_0))
| ~ in(X1,esk11_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_24]),c_0_27]) ).
cnf(c_0_34,negated_conjecture,
( closed_subsets(esk11_0,esk10_0)
| in(esk2_2(esk10_0,esk11_0),esk11_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_19]),c_0_25])]) ).
cnf(c_0_35,plain,
( closed_subset(X2,X1)
| ~ open_subset(subset_complement(the_carrier(X1),X2),X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,negated_conjecture,
( closed_subsets(esk11_0,esk10_0)
| element(esk2_2(esk10_0,esk11_0),powerset(the_carrier(esk10_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_19]),c_0_25])]) ).
cnf(c_0_37,negated_conjecture,
( closed_subsets(esk11_0,esk10_0)
| open_subset(X1,esk10_0)
| ~ in(X1,complements_of_subsets(the_carrier(esk10_0),esk11_0)) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,negated_conjecture,
( closed_subsets(esk11_0,esk10_0)
| in(subset_complement(the_carrier(esk10_0),esk2_2(esk10_0,esk11_0)),complements_of_subsets(the_carrier(esk10_0),esk11_0)) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,negated_conjecture,
( closed_subset(esk2_2(esk10_0,esk11_0),esk10_0)
| closed_subsets(esk11_0,esk10_0)
| ~ open_subset(subset_complement(the_carrier(esk10_0),esk2_2(esk10_0,esk11_0)),esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_25])]) ).
cnf(c_0_40,negated_conjecture,
( closed_subsets(esk11_0,esk10_0)
| open_subset(subset_complement(the_carrier(esk10_0),esk2_2(esk10_0,esk11_0)),esk10_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_41,plain,
( closed_subsets(X2,X1)
| ~ closed_subset(esk2_2(X1,X2),X1)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_42,negated_conjecture,
( closed_subset(esk2_2(esk10_0,esk11_0),esk10_0)
| closed_subsets(esk11_0,esk10_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_43,plain,
( closed_subset(X3,X2)
| ~ closed_subsets(X1,X2)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ in(X3,X1)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_44,plain,
( in(esk1_2(X1,X2),X2)
| open_subsets(X2,X1)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_45,negated_conjecture,
( ~ closed_subsets(esk11_0,esk10_0)
| ~ open_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_46,negated_conjecture,
closed_subsets(esk11_0,esk10_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_25]),c_0_19])]) ).
cnf(c_0_47,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_43,c_0_17]) ).
cnf(c_0_48,negated_conjecture,
( open_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0)
| in(esk1_2(esk10_0,complements_of_subsets(the_carrier(esk10_0),esk11_0)),complements_of_subsets(the_carrier(esk10_0),esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_24]),c_0_25])]) ).
cnf(c_0_49,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_45,c_0_46])]) ).
fof(c_0_50,plain,
! [X73,X74] :
( ( ~ open_subset(X74,X73)
| closed_subset(subset_complement(the_carrier(X73),X74),X73)
| ~ element(X74,powerset(the_carrier(X73)))
| ~ top_str(X73) )
& ( ~ closed_subset(subset_complement(the_carrier(X73),X74),X73)
| open_subset(X74,X73)
| ~ element(X74,powerset(the_carrier(X73)))
| ~ top_str(X73) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t30_tops_1])])])]) ).
cnf(c_0_51,plain,
( element(esk1_2(X1,X2),powerset(the_carrier(X1)))
| open_subsets(X2,X1)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_52,negated_conjecture,
( closed_subset(X1,esk10_0)
| ~ closed_subsets(esk11_0,esk10_0)
| ~ in(X1,esk11_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_19]),c_0_25])]) ).
cnf(c_0_53,negated_conjecture,
( in(subset_complement(the_carrier(esk10_0),X1),esk11_0)
| ~ in(X1,complements_of_subsets(the_carrier(esk10_0),esk11_0)) ),
inference(spm,[status(thm)],[c_0_26,c_0_19]) ).
cnf(c_0_54,negated_conjecture,
in(esk1_2(esk10_0,complements_of_subsets(the_carrier(esk10_0),esk11_0)),complements_of_subsets(the_carrier(esk10_0),esk11_0)),
inference(sr,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_55,plain,
( open_subset(X2,X1)
| ~ closed_subset(subset_complement(the_carrier(X1),X2),X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_56,negated_conjecture,
( open_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0)
| element(esk1_2(esk10_0,complements_of_subsets(the_carrier(esk10_0),esk11_0)),powerset(the_carrier(esk10_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_24]),c_0_25])]) ).
cnf(c_0_57,negated_conjecture,
( closed_subset(X1,esk10_0)
| ~ in(X1,esk11_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_46])]) ).
cnf(c_0_58,negated_conjecture,
in(subset_complement(the_carrier(esk10_0),esk1_2(esk10_0,complements_of_subsets(the_carrier(esk10_0),esk11_0))),esk11_0),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_59,negated_conjecture,
( open_subset(esk1_2(esk10_0,complements_of_subsets(the_carrier(esk10_0),esk11_0)),esk10_0)
| open_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0)
| ~ closed_subset(subset_complement(the_carrier(esk10_0),esk1_2(esk10_0,complements_of_subsets(the_carrier(esk10_0),esk11_0))),esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_25])]) ).
cnf(c_0_60,negated_conjecture,
closed_subset(subset_complement(the_carrier(esk10_0),esk1_2(esk10_0,complements_of_subsets(the_carrier(esk10_0),esk11_0))),esk10_0),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_61,plain,
( open_subsets(X2,X1)
| ~ open_subset(esk1_2(X1,X2),X1)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_62,negated_conjecture,
open_subset(esk1_2(esk10_0,complements_of_subsets(the_carrier(esk10_0),esk11_0)),esk10_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_60])]),c_0_49]) ).
cnf(c_0_63,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_25]),c_0_24])]),c_0_49]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU336+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n011.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Oct 2 09:11:38 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order model finding
% 0.17/0.44 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.H1oQMqJ2kZ/E---3.1_30678.p
% 11.14/1.89 # Version: 3.1pre001
% 11.14/1.89 # Preprocessing class: FSLSSMSSSSSNFFN.
% 11.14/1.89 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.14/1.89 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 11.14/1.89 # Starting new_bool_3 with 300s (1) cores
% 11.14/1.89 # Starting new_bool_1 with 300s (1) cores
% 11.14/1.89 # Starting sh5l with 300s (1) cores
% 11.14/1.89 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 30756 completed with status 0
% 11.14/1.89 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 11.14/1.89 # Preprocessing class: FSLSSMSSSSSNFFN.
% 11.14/1.89 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.14/1.89 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 11.14/1.89 # No SInE strategy applied
% 11.14/1.89 # Search class: FGHSM-FFMM31-MFFFFFNN
% 11.14/1.89 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 11.14/1.89 # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 113s (1) cores
% 11.14/1.89 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 11.14/1.89 # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SE_S0Y with 113s (1) cores
% 11.14/1.89 # Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 113s (1) cores
% 11.14/1.89 # Starting U----_206c_02_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 11.14/1.89 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 30763 completed with status 0
% 11.14/1.89 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 11.14/1.89 # Preprocessing class: FSLSSMSSSSSNFFN.
% 11.14/1.89 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.14/1.89 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 11.14/1.89 # No SInE strategy applied
% 11.14/1.89 # Search class: FGHSM-FFMM31-MFFFFFNN
% 11.14/1.89 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 11.14/1.89 # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 113s (1) cores
% 11.14/1.89 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 11.14/1.89 # Preprocessing time : 0.002 s
% 11.14/1.89 # Presaturation interreduction done
% 11.14/1.89
% 11.14/1.89 # Proof found!
% 11.14/1.89 # SZS status Theorem
% 11.14/1.89 # SZS output start CNFRefutation
% See solution above
% 11.14/1.90 # Parsed axioms : 49
% 11.14/1.90 # Removed by relevancy pruning/SinE : 0
% 11.14/1.90 # Initial clauses : 101
% 11.14/1.90 # Removed in clause preprocessing : 5
% 11.14/1.90 # Initial clauses in saturation : 96
% 11.14/1.90 # Processed clauses : 14227
% 11.14/1.90 # ...of these trivial : 41
% 11.14/1.90 # ...subsumed : 10343
% 11.14/1.90 # ...remaining for further processing : 3843
% 11.14/1.90 # Other redundant clauses eliminated : 2
% 11.14/1.90 # Clauses deleted for lack of memory : 0
% 11.14/1.90 # Backward-subsumed : 316
% 11.14/1.90 # Backward-rewritten : 200
% 11.14/1.90 # Generated clauses : 40863
% 11.14/1.90 # ...of the previous two non-redundant : 39298
% 11.14/1.90 # ...aggressively subsumed : 0
% 11.14/1.90 # Contextual simplify-reflections : 22
% 11.14/1.90 # Paramodulations : 40840
% 11.14/1.90 # Factorizations : 0
% 11.14/1.90 # NegExts : 0
% 11.14/1.90 # Equation resolutions : 2
% 11.14/1.90 # Total rewrite steps : 5933
% 11.14/1.90 # Propositional unsat checks : 0
% 11.14/1.90 # Propositional check models : 0
% 11.14/1.90 # Propositional check unsatisfiable : 0
% 11.14/1.90 # Propositional clauses : 0
% 11.14/1.90 # Propositional clauses after purity: 0
% 11.14/1.90 # Propositional unsat core size : 0
% 11.14/1.90 # Propositional preprocessing time : 0.000
% 11.14/1.90 # Propositional encoding time : 0.000
% 11.14/1.90 # Propositional solver time : 0.000
% 11.14/1.90 # Success case prop preproc time : 0.000
% 11.14/1.90 # Success case prop encoding time : 0.000
% 11.14/1.90 # Success case prop solver time : 0.000
% 11.14/1.90 # Current number of processed clauses : 3208
% 11.14/1.90 # Positive orientable unit clauses : 146
% 11.14/1.90 # Positive unorientable unit clauses: 0
% 11.14/1.90 # Negative unit clauses : 36
% 11.14/1.90 # Non-unit-clauses : 3026
% 11.14/1.90 # Current number of unprocessed clauses: 24749
% 11.14/1.90 # ...number of literals in the above : 105060
% 11.14/1.90 # Current number of archived formulas : 0
% 11.14/1.90 # Current number of archived clauses : 633
% 11.14/1.90 # Clause-clause subsumption calls (NU) : 1103532
% 11.14/1.90 # Rec. Clause-clause subsumption calls : 921268
% 11.14/1.90 # Non-unit clause-clause subsumptions : 6373
% 11.14/1.90 # Unit Clause-clause subsumption calls : 15044
% 11.14/1.90 # Rewrite failures with RHS unbound : 0
% 11.14/1.90 # BW rewrite match attempts : 143
% 11.14/1.90 # BW rewrite match successes : 14
% 11.14/1.90 # Condensation attempts : 0
% 11.14/1.90 # Condensation successes : 0
% 11.14/1.90 # Termbank termtop insertions : 670696
% 11.14/1.90
% 11.14/1.90 # -------------------------------------------------
% 11.14/1.90 # User time : 1.394 s
% 11.14/1.90 # System time : 0.024 s
% 11.14/1.90 # Total time : 1.419 s
% 11.14/1.90 # Maximum resident set size: 1936 pages
% 11.14/1.90
% 11.14/1.90 # -------------------------------------------------
% 11.14/1.90 # User time : 6.890 s
% 11.14/1.90 # System time : 0.158 s
% 11.14/1.90 # Total time : 7.048 s
% 11.14/1.90 # Maximum resident set size: 1724 pages
% 11.14/1.90 % E---3.1 exiting
%------------------------------------------------------------------------------