%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU336+1 : TPTP v9.2.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n009.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 : 300s
% DateTime : Tue May 5 05:11:31 PM UTC 2026
% Result : Theorem 13.08s 8.42s
% Output : CNFRefutation 13.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 63 ( 7 unt; 0 def)
% Number of atoms : 269 ( 16 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 355 ( 149 ~; 160 |; 16 &)
% ( 8 <=>; 22 =>; 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 : 115 ( 0 sgn 46 !; 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/benchmark/theBenchmark.p',d1_tops_2) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( in(X1,X2)
& element(X2,powerset(X3)) )
=> element(X1,X3) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',dt_k7_setfam_1) ).
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/benchmark/theBenchmark.p',t16_tops_2) ).
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/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',t30_tops_1) ).
fof(c_0_9,plain,
! [X113,X114,X115] :
( ( ~ open_subsets(X114,X113)
| ~ element(X115,powerset(the_carrier(X113)))
| ~ in(X115,X114)
| open_subset(X115,X113)
| ~ element(X114,powerset(powerset(the_carrier(X113))))
| ~ top_str(X113) )
& ( element(esk1_2(X113,X114),powerset(the_carrier(X113)))
| open_subsets(X114,X113)
| ~ element(X114,powerset(powerset(the_carrier(X113))))
| ~ top_str(X113) )
& ( in(esk1_2(X113,X114),X114)
| open_subsets(X114,X113)
| ~ element(X114,powerset(powerset(the_carrier(X113))))
| ~ top_str(X113) )
& ( ~ open_subset(esk1_2(X113,X114),X113)
| open_subsets(X114,X113)
| ~ element(X114,powerset(powerset(the_carrier(X113))))
| ~ top_str(X113) ) ),
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_10,plain,
! [X158,X159,X160] :
( ~ in(X158,X159)
| ~ element(X159,powerset(X160))
| element(X158,X160) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
cnf(c_0_11,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_9]) ).
cnf(c_0_12,plain,
( element(X1,X3)
| ~ in(X1,X2)
| ~ element(X2,powerset(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_13,plain,
! [X128,X129] :
( ~ element(X129,powerset(powerset(X128)))
| element(complements_of_subsets(X128,X129),powerset(powerset(X128))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_setfam_1])]) ).
fof(c_0_14,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_15,plain,
! [X121,X122,X123,X124] :
( ( ~ in(X124,X123)
| in(subset_complement(X121,X124),X122)
| ~ element(X124,powerset(X121))
| X123 != complements_of_subsets(X121,X122)
| ~ element(X123,powerset(powerset(X121)))
| ~ element(X122,powerset(powerset(X121))) )
& ( ~ in(subset_complement(X121,X124),X122)
| in(X124,X123)
| ~ element(X124,powerset(X121))
| X123 != complements_of_subsets(X121,X122)
| ~ element(X123,powerset(powerset(X121)))
| ~ element(X122,powerset(powerset(X121))) )
& ( element(esk3_3(X121,X122,X123),powerset(X121))
| X123 = complements_of_subsets(X121,X122)
| ~ element(X123,powerset(powerset(X121)))
| ~ element(X122,powerset(powerset(X121))) )
& ( ~ in(esk3_3(X121,X122,X123),X123)
| ~ in(subset_complement(X121,esk3_3(X121,X122,X123)),X122)
| X123 = complements_of_subsets(X121,X122)
| ~ element(X123,powerset(powerset(X121)))
| ~ element(X122,powerset(powerset(X121))) )
& ( in(esk3_3(X121,X122,X123),X123)
| in(subset_complement(X121,esk3_3(X121,X122,X123)),X122)
| X123 = complements_of_subsets(X121,X122)
| ~ element(X123,powerset(powerset(X121)))
| ~ element(X122,powerset(powerset(X121))) ) ),
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])])])])]) ).
cnf(c_0_16,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_11,c_0_12]) ).
cnf(c_0_17,plain,
( element(complements_of_subsets(X2,X1),powerset(powerset(X2)))
| ~ element(X1,powerset(powerset(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
cnf(c_0_19,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_15]) ).
cnf(c_0_20,plain,
( open_subset(X1,X2)
| ~ open_subsets(complements_of_subsets(the_carrier(X2),X3),X2)
| ~ top_str(X2)
| ~ element(X3,powerset(powerset(the_carrier(X2))))
| ~ in(X1,complements_of_subsets(the_carrier(X2),X3)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
element(esk11_0,powerset(powerset(the_carrier(esk10_0)))),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,negated_conjecture,
top_str(esk10_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
( in(subset_complement(X1,X2),X3)
| X4 != complements_of_subsets(X1,X3)
| ~ element(X3,powerset(powerset(X1)))
| ~ element(X4,powerset(powerset(X1)))
| ~ in(X2,X4) ),
inference(csr,[status(thm)],[c_0_19,c_0_12]) ).
fof(c_0_24,plain,
! [X138,X139] :
( ~ element(X139,powerset(powerset(X138)))
| complements_of_subsets(X138,complements_of_subsets(X138,X139)) = X139 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k7_setfam_1])]) ).
fof(c_0_25,plain,
! [X117,X118,X119] :
( ( ~ closed_subsets(X118,X117)
| ~ element(X119,powerset(the_carrier(X117)))
| ~ in(X119,X118)
| closed_subset(X119,X117)
| ~ element(X118,powerset(powerset(the_carrier(X117))))
| ~ top_str(X117) )
& ( element(esk2_2(X117,X118),powerset(the_carrier(X117)))
| closed_subsets(X118,X117)
| ~ element(X118,powerset(powerset(the_carrier(X117))))
| ~ top_str(X117) )
& ( in(esk2_2(X117,X118),X118)
| closed_subsets(X118,X117)
| ~ element(X118,powerset(powerset(the_carrier(X117))))
| ~ top_str(X117) )
& ( ~ closed_subset(esk2_2(X117,X118),X117)
| closed_subsets(X118,X117)
| ~ element(X118,powerset(powerset(the_carrier(X117))))
| ~ top_str(X117) ) ),
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_26,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_20,c_0_21]),c_0_22])]) ).
cnf(c_0_27,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_18]) ).
cnf(c_0_28,plain,
( in(subset_complement(X1,X2),complements_of_subsets(X1,X3))
| X4 != complements_of_subsets(X1,complements_of_subsets(X1,X3))
| ~ element(X4,powerset(powerset(X1)))
| ~ element(X3,powerset(powerset(X1)))
| ~ in(X2,X4) ),
inference(spm,[status(thm)],[c_0_23,c_0_17]) ).
cnf(c_0_29,plain,
( complements_of_subsets(X2,complements_of_subsets(X2,X1)) = X1
| ~ element(X1,powerset(powerset(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,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_25]) ).
fof(c_0_31,plain,
! [X150,X151] :
( ( ~ closed_subset(X151,X150)
| open_subset(subset_complement(the_carrier(X150),X151),X150)
| ~ element(X151,powerset(the_carrier(X150)))
| ~ top_str(X150) )
& ( ~ open_subset(subset_complement(the_carrier(X150),X151),X150)
| closed_subset(X151,X150)
| ~ element(X151,powerset(the_carrier(X150)))
| ~ top_str(X150) ) ),
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_32,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_26,c_0_27]) ).
cnf(c_0_33,negated_conjecture,
( in(subset_complement(the_carrier(esk10_0),X1),complements_of_subsets(the_carrier(esk10_0),X2))
| complements_of_subsets(the_carrier(esk10_0),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_21]) ).
cnf(c_0_34,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_29,c_0_21]) ).
cnf(c_0_35,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_30,c_0_12]) ).
fof(c_0_36,plain,
! [X154,X155] :
( ( ~ open_subset(X155,X154)
| closed_subset(subset_complement(the_carrier(X154),X155),X154)
| ~ element(X155,powerset(the_carrier(X154)))
| ~ top_str(X154) )
& ( ~ closed_subset(subset_complement(the_carrier(X154),X155),X154)
| open_subset(X155,X154)
| ~ element(X155,powerset(the_carrier(X154)))
| ~ top_str(X154) ) ),
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_37,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_31]) ).
cnf(c_0_38,negated_conjecture,
( closed_subsets(esk11_0,esk10_0)
| open_subset(subset_complement(the_carrier(esk10_0),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_32,c_0_33]),c_0_34]),c_0_21])]) ).
cnf(c_0_39,negated_conjecture,
( element(X1,powerset(the_carrier(esk10_0)))
| ~ in(X1,esk11_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_21]) ).
cnf(c_0_40,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_35,c_0_21]),c_0_22])]) ).
cnf(c_0_41,negated_conjecture,
( in(subset_complement(the_carrier(esk10_0),X1),esk11_0)
| X2 != complements_of_subsets(the_carrier(esk10_0),esk11_0)
| ~ element(X2,powerset(powerset(the_carrier(esk10_0))))
| ~ in(X1,X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_21]) ).
cnf(c_0_42,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_25]) ).
cnf(c_0_43,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_25]) ).
cnf(c_0_44,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_36]) ).
cnf(c_0_45,negated_conjecture,
( closed_subset(X1,esk10_0)
| ~ in(X1,esk11_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_22])]),c_0_39]),c_0_40]) ).
cnf(c_0_46,negated_conjecture,
( in(subset_complement(the_carrier(esk10_0),X1),esk11_0)
| complements_of_subsets(the_carrier(esk10_0),X2) != complements_of_subsets(the_carrier(esk10_0),esk11_0)
| ~ element(X2,powerset(powerset(the_carrier(esk10_0))))
| ~ in(X1,complements_of_subsets(the_carrier(esk10_0),X2)) ),
inference(spm,[status(thm)],[c_0_41,c_0_17]) ).
cnf(c_0_47,plain,
( element(X1,powerset(X2))
| ~ element(X3,powerset(powerset(X2)))
| ~ in(X1,complements_of_subsets(X2,X3)) ),
inference(spm,[status(thm)],[c_0_12,c_0_17]) ).
cnf(c_0_48,negated_conjecture,
( 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_42,c_0_21]),c_0_22])]) ).
cnf(c_0_49,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_43,c_0_21]),c_0_22])]) ).
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_44,c_0_45]),c_0_22])]) ).
cnf(c_0_51,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_46,c_0_21]) ).
cnf(c_0_52,negated_conjecture,
( element(X1,powerset(the_carrier(esk10_0)))
| ~ in(X1,complements_of_subsets(the_carrier(esk10_0),esk11_0)) ),
inference(spm,[status(thm)],[c_0_47,c_0_21]) ).
cnf(c_0_53,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_9]) ).
cnf(c_0_54,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_18]) ).
cnf(c_0_55,negated_conjecture,
closed_subsets(esk11_0,esk10_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_45]),c_0_49]) ).
cnf(c_0_56,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_9]) ).
cnf(c_0_57,negated_conjecture,
( open_subset(X1,esk10_0)
| ~ in(X1,complements_of_subsets(the_carrier(esk10_0),esk11_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).
cnf(c_0_58,plain,
( open_subsets(complements_of_subsets(the_carrier(X1),X2),X1)
| in(esk1_2(X1,complements_of_subsets(the_carrier(X1),X2)),complements_of_subsets(the_carrier(X1),X2))
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(spm,[status(thm)],[c_0_53,c_0_17]) ).
cnf(c_0_59,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_54,c_0_55])]) ).
cnf(c_0_60,plain,
( open_subsets(complements_of_subsets(the_carrier(X1),X2),X1)
| ~ open_subset(esk1_2(X1,complements_of_subsets(the_carrier(X1),X2)),X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(spm,[status(thm)],[c_0_56,c_0_17]) ).
cnf(c_0_61,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)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_22]),c_0_21])]),c_0_59]) ).
cnf(c_0_62,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_60,c_0_61]),c_0_22]),c_0_21])]),c_0_59]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU336+1 : TPTP v9.2.1. Released v3.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n009.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 02:57:56 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 13.08/8.42 % Version : CSE_E---1.7
% 13.08/8.42 % Problem : theBenchmark.p
% 13.08/8.42 % SZS status Theorem for theBenchmark.p
% 13.08/8.42 % SZS output start CNFRefutation
% See solution above
% 13.08/8.46 % Total time : 6.384s
%------------------------------------------------------------------------------