%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU336+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:24:45 PM UTC 2026
% Result : Theorem 19.36s 3.30s
% Output : CNFRefutation 19.36s
% 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/benchmark/theBenchmark.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/benchmark/theBenchmark.p',d1_tops_2) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( element(X2,powerset(X3))
& in(X1,X2) )
=> element(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.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/benchmark/theBenchmark.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/benchmark/theBenchmark.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/benchmark/theBenchmark.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/benchmark/theBenchmark.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/benchmark/theBenchmark.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/benchmark/theBenchmark.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] :
( ( ~ top_str(X32)
| ~ element(X33,powerset(powerset(the_carrier(X32))))
| open_subsets(X33,X32)
| ~ open_subset(esk1_2(X32,X33),X32) )
& ( ~ top_str(X32)
| ~ element(X33,powerset(powerset(the_carrier(X32))))
| open_subsets(X33,X32)
| in(esk1_2(X32,X33),X33) )
& ( ~ top_str(X32)
| ~ element(X33,powerset(powerset(the_carrier(X32))))
| open_subsets(X33,X32)
| element(esk1_2(X32,X33),powerset(the_carrier(X32))) )
& ( ~ top_str(X32)
| ~ element(X33,powerset(powerset(the_carrier(X32))))
| open_subset(X34,X32)
| ~ in(X34,X33)
| ~ element(X34,powerset(the_carrier(X32)))
| ~ open_subsets(X33,X32) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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] :
( element(X77,X79)
| ~ element(X78,powerset(X79))
| ~ in(X77,X78) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])])]) ).
fof(c_0_12,plain,
! [X47,X48] :
( element(complements_of_subsets(X47,X48),powerset(powerset(X47)))
| ~ element(X48,powerset(powerset(X47))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_setfam_1])])]) ).
fof(c_0_13,negated_conjecture,
( ( 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)
| ~ closed_subsets(esk11_0,esk10_0) )
& element(esk11_0,powerset(powerset(the_carrier(esk10_0))))
& top_str(esk10_0) ),
inference(fof_nnf,[status(thm)],[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] :
( ( ~ element(X41,powerset(powerset(X40)))
| ~ element(X42,powerset(powerset(X40)))
| X42 = complements_of_subsets(X40,X41)
| in(subset_complement(X40,esk3_3(X40,X41,X42)),X41)
| in(esk3_3(X40,X41,X42),X42) )
& ( ~ element(X41,powerset(powerset(X40)))
| ~ element(X42,powerset(powerset(X40)))
| X42 = complements_of_subsets(X40,X41)
| ~ in(subset_complement(X40,esk3_3(X40,X41,X42)),X41)
| ~ in(esk3_3(X40,X41,X42),X42) )
& ( ~ element(X41,powerset(powerset(X40)))
| ~ element(X42,powerset(powerset(X40)))
| X42 = complements_of_subsets(X40,X41)
| element(esk3_3(X40,X41,X42),powerset(X40)) )
& ( ~ element(X41,powerset(powerset(X40)))
| ~ element(X42,powerset(powerset(X40)))
| X42 != complements_of_subsets(X40,X41)
| ~ element(X43,powerset(X40))
| in(X43,X42)
| ~ in(subset_complement(X40,X43),X41) )
& ( ~ element(X41,powerset(powerset(X40)))
| ~ element(X42,powerset(powerset(X40)))
| X42 != complements_of_subsets(X40,X41)
| ~ element(X43,powerset(X40))
| in(subset_complement(X40,X43),X41)
| ~ in(X43,X42) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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] :
( complements_of_subsets(X57,complements_of_subsets(X57,X58)) = X58
| ~ element(X58,powerset(powerset(X57))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k7_setfam_1])])]) ).
cnf(c_0_16,plain,
( ~ top_str(X2)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ in(X3,X1)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ open_subsets(X1,X2)
| open_subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
( ~ element(X2,powerset(X3))
| ~ in(X1,X2)
| element(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
( ~ element(X1,powerset(powerset(X2)))
| element(complements_of_subsets(X2,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,
( ~ element(X4,powerset(powerset(X3)))
| ~ element(X2,powerset(powerset(X3)))
| X2 != complements_of_subsets(X3,X4)
| ~ element(X1,powerset(X3))
| ~ in(X1,X2)
| in(subset_complement(X3,X1),X4) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
( ~ element(X1,powerset(powerset(X2)))
| complements_of_subsets(X2,complements_of_subsets(X2,X1)) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_22,plain,
! [X36,X37,X38] :
( ( ~ top_str(X36)
| ~ element(X37,powerset(powerset(the_carrier(X36))))
| closed_subsets(X37,X36)
| ~ closed_subset(esk2_2(X36,X37),X36) )
& ( ~ top_str(X36)
| ~ element(X37,powerset(powerset(the_carrier(X36))))
| closed_subsets(X37,X36)
| in(esk2_2(X36,X37),X37) )
& ( ~ top_str(X36)
| ~ element(X37,powerset(powerset(the_carrier(X36))))
| closed_subsets(X37,X36)
| element(esk2_2(X36,X37),powerset(the_carrier(X36))) )
& ( ~ top_str(X36)
| ~ element(X37,powerset(powerset(the_carrier(X36))))
| closed_subset(X38,X36)
| ~ in(X38,X37)
| ~ element(X38,powerset(the_carrier(X36)))
| ~ closed_subsets(X37,X36) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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,
( ~ in(X1,X3)
| ~ element(X3,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ open_subsets(X3,X2)
| open_subset(X1,X2) ),
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(X2,complements_of_subsets(X1,X3))
| ~ element(X3,powerset(powerset(X1)))
| in(subset_complement(X1,X2),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,
( ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| closed_subsets(X2,X1)
| in(esk2_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_29,plain,
! [X69,X70] :
( ( ~ top_str(X69)
| ~ element(X70,powerset(the_carrier(X69)))
| closed_subset(X70,X69)
| ~ open_subset(subset_complement(the_carrier(X69),X70),X69) )
& ( ~ top_str(X69)
| ~ element(X70,powerset(the_carrier(X69)))
| open_subset(subset_complement(the_carrier(X69),X70),X69)
| ~ closed_subset(X70,X69) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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,
( ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| closed_subsets(X2,X1)
| element(esk2_2(X1,X2),powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,negated_conjecture,
( ~ in(X1,complements_of_subsets(the_carrier(esk10_0),esk11_0))
| ~ open_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0)
| open_subset(X1,esk10_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,
( 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_13]) ).
cnf(c_0_33,negated_conjecture,
( ~ in(X1,esk11_0)
| in(subset_complement(the_carrier(esk10_0),X1),complements_of_subsets(the_carrier(esk10_0),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,
( in(esk2_2(esk10_0,esk11_0),esk11_0)
| closed_subsets(esk11_0,esk10_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,
( ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ open_subset(subset_complement(the_carrier(X1),X2),X1)
| closed_subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,negated_conjecture,
( element(esk2_2(esk10_0,esk11_0),powerset(the_carrier(esk10_0)))
| closed_subsets(esk11_0,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,
( ~ in(X1,complements_of_subsets(the_carrier(esk10_0),esk11_0))
| open_subset(X1,esk10_0)
| closed_subsets(esk11_0,esk10_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,negated_conjecture,
( in(subset_complement(the_carrier(esk10_0),esk2_2(esk10_0,esk11_0)),complements_of_subsets(the_carrier(esk10_0),esk11_0))
| closed_subsets(esk11_0,esk10_0) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,negated_conjecture,
( ~ open_subset(subset_complement(the_carrier(esk10_0),esk2_2(esk10_0,esk11_0)),esk10_0)
| closed_subsets(esk11_0,esk10_0)
| closed_subset(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,
( open_subset(subset_complement(the_carrier(esk10_0),esk2_2(esk10_0,esk11_0)),esk10_0)
| closed_subsets(esk11_0,esk10_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_41,plain,
( ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ closed_subset(esk2_2(X1,X2),X1)
| closed_subsets(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_42,negated_conjecture,
( closed_subsets(esk11_0,esk10_0)
| closed_subset(esk2_2(esk10_0,esk11_0),esk10_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_43,plain,
( ~ top_str(X2)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ in(X3,X1)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ closed_subsets(X1,X2)
| closed_subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_44,plain,
( ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| open_subsets(X2,X1)
| in(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_45,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_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,
( ~ in(X1,X3)
| ~ element(X3,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ closed_subsets(X3,X2)
| closed_subset(X1,X2) ),
inference(csr,[status(thm)],[c_0_43,c_0_17]) ).
cnf(c_0_48,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))
| open_subsets(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_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] :
( ( ~ top_str(X73)
| ~ element(X74,powerset(the_carrier(X73)))
| open_subset(X74,X73)
| ~ closed_subset(subset_complement(the_carrier(X73),X74),X73) )
& ( ~ top_str(X73)
| ~ element(X74,powerset(the_carrier(X73)))
| closed_subset(subset_complement(the_carrier(X73),X74),X73)
| ~ open_subset(X74,X73) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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,
( ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| open_subsets(X2,X1)
| element(esk1_2(X1,X2),powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_52,negated_conjecture,
( ~ in(X1,esk11_0)
| ~ closed_subsets(esk11_0,esk10_0)
| closed_subset(X1,esk10_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(X1,complements_of_subsets(the_carrier(esk10_0),esk11_0))
| in(subset_complement(the_carrier(esk10_0),X1),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,
( ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ closed_subset(subset_complement(the_carrier(X1),X2),X1)
| open_subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_56,negated_conjecture,
( element(esk1_2(esk10_0,complements_of_subsets(the_carrier(esk10_0),esk11_0)),powerset(the_carrier(esk10_0)))
| open_subsets(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_51,c_0_24]),c_0_25])]) ).
cnf(c_0_57,negated_conjecture,
( ~ in(X1,esk11_0)
| closed_subset(X1,esk10_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,
( ~ closed_subset(subset_complement(the_carrier(esk10_0),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)
| open_subset(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,
( ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ open_subset(esk1_2(X1,X2),X1)
| open_subsets(X2,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
% 0.00/0.03 % Problem : SEU336+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 06:18:45 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.36/3.30 % Version: 3.5.1
% 19.36/3.30 % Preprocessing class: FSLSSMSSSSSNFFN.
% 19.36/3.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.36/3.30 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 19.36/3.30 % Starting new_bool_3 with 300s (1) cores
% 19.36/3.30 % Starting new_bool_1 with 300s (1) cores
% 19.36/3.30 % Starting sh5l with 300s (1) cores
% 19.36/3.30 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2371488 completed with status 0
% 19.36/3.30 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 19.36/3.30 % Preprocessing class: FSLSSMSSSSSNFFN.
% 19.36/3.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.36/3.30 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 19.36/3.30 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 19.36/3.30 % No SInE strategy applied
% 19.36/3.30 % Search class: FGHSM-FFMM31-MFFFFFNN
% 19.36/3.30 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 19.36/3.30 % Starting SubtermCWHack with 136s (1) cores
% 19.36/3.30 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 19.36/3.30 % Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 113s (1) cores
% 19.36/3.30 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SE_S0Y with 113s (1) cores
% 19.36/3.30 % Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 113s (1) cores
% 19.36/3.30 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2371495 completed with status 0
% 19.36/3.30 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 19.36/3.30 % Preprocessing class: FSLSSMSSSSSNFFN.
% 19.36/3.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.36/3.30 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 19.36/3.30 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 19.36/3.30 % No SInE strategy applied
% 19.36/3.30 % Search class: FGHSM-FFMM31-MFFFFFNN
% 19.36/3.30 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 19.36/3.30 % Starting SubtermCWHack with 136s (1) cores
% 19.36/3.30 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 19.36/3.30 % Preprocessing time : 0.004 s
% 19.36/3.30 % Presaturation interreduction done
% 19.36/3.30
% 19.36/3.30 % Proof found!
% 19.36/3.30 % SZS status Theorem
% 19.36/3.30 % SZS output start CNFRefutation
% See solution above
% 19.36/3.30 % Parsed axioms : 49
% 19.36/3.30 % Removed by relevancy pruning/SinE : 0
% 19.36/3.30 % Initial clauses : 101
% 19.36/3.30 % Removed in clause preprocessing : 5
% 19.36/3.30 % Initial clauses in saturation : 96
% 19.36/3.30 % Processed clauses : 14227
% 19.36/3.30 % ...of these trivial : 41
% 19.36/3.30 % ...subsumed : 10343
% 19.36/3.30 % ...remaining for further processing : 3843
% 19.36/3.30 % Other redundant clauses eliminated : 2
% 19.36/3.30 % Clauses deleted for lack of memory : 0
% 19.36/3.30 % Backward-subsumed : 316
% 19.36/3.30 % Backward-rewritten : 200
% 19.36/3.30 % Generated clauses : 40863
% 19.36/3.30 % ...of the previous two non-redundant : 39298
% 19.36/3.30 % ...aggressively subsumed : 0
% 19.36/3.30 % Contextual simplify-reflections : 22
% 19.36/3.30 % Paramodulations : 40840
% 19.36/3.30 % Factorizations : 0
% 19.36/3.30 % NegExts : 0
% 19.36/3.30 % Equation resolutions : 2
% 19.36/3.30 % Disequality decompositions : 0
% 19.36/3.30 % Total rewrite steps : 5933
% 19.36/3.30 % ...of those cached : 5750
% 19.36/3.30 % Propositional unsat checks : 0
% 19.36/3.30 % Propositional check models : 0
% 19.36/3.30 % Propositional check unsatisfiable : 0
% 19.36/3.30 % Propositional clauses : 0
% 19.36/3.30 % Propositional clauses after purity: 0
% 19.36/3.30 % Propositional unsat core size : 0
% 19.36/3.30 % Propositional preprocessing time : 0.000
% 19.36/3.30 % Propositional encoding time : 0.000
% 19.36/3.30 % Propositional solver time : 0.000
% 19.36/3.30 % Success case prop preproc time : 0.000
% 19.36/3.30 % Success case prop encoding time : 0.000
% 19.36/3.30 % Success case prop solver time : 0.000
% 19.36/3.30 % Current number of processed clauses : 3208
% 19.36/3.30 % Positive orientable unit clauses : 146
% 19.36/3.30 % Positive unorientable unit clauses: 0
% 19.36/3.30 % Negative unit clauses : 36
% 19.36/3.30 % Non-unit-clauses : 3026
% 19.36/3.30 % Current number of unprocessed clauses: 24749
% 19.36/3.30 % ...number of literals in the above : 105060
% 19.36/3.30 % Current number of archived formulas : 0
% 19.36/3.30 % Current number of archived clauses : 633
% 19.36/3.30 % Clause-clause subsumption calls (NU) : 901165
% 19.36/3.30 % Rec. Clause-clause subsumption calls : 740806
% 19.36/3.30 % Non-unit clause-clause subsumptions : 6373
% 19.36/3.30 % Unit Clause-clause subsumption calls : 18059
% 19.36/3.30 % Rewrite failures with RHS unbound : 0
% 19.36/3.30 % BW rewrite match attempts : 143
% 19.36/3.30 % BW rewrite match successes : 14
% 19.36/3.30 % Condensation attempts : 0
% 19.36/3.30 % Condensation successes : 0
% 19.36/3.30 % Termbank termtop insertions : 671631
% 19.36/3.30 % Search garbage collected termcells : 1164
% 19.36/3.30
% 19.36/3.30 % -------------------------------------------------
% 19.36/3.30 % User time : 2.616 s
% 19.36/3.30 % System time : 0.043 s
% 19.36/3.30 % Total time : 2.659 s
% 19.36/3.30 % Maximum resident set size: 3632 pages
% 19.36/3.30
% 19.36/3.30 % -------------------------------------------------
% 19.36/3.30 % User time : 13.194 s
% 19.36/3.30 % System time : 0.325 s
% 19.36/3.30 % Total time : 13.520 s
% 19.36/3.30 % Maximum resident set size: 4864 pages
% 19.36/3.30 % E exiting
%------------------------------------------------------------------------------