TSTP Solution File: SEU336+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU336+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n017.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 : Thu Aug 31 16:24:33 EDT 2023
% Result : Theorem 24.45s 24.54s
% Output : CNFRefutation 24.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 45
% Syntax : Number of formulae : 100 ( 11 unt; 36 typ; 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 types : 2 ( 0 usr)
% Number of type conns : 43 ( 30 >; 13 *; 0 +; 0 <<)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 94 ( 0 sgn; 46 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
in: ( $i * $i ) > $o ).
tff(decl_23,type,
v1_membered: $i > $o ).
tff(decl_24,type,
element: ( $i * $i ) > $o ).
tff(decl_25,type,
v1_xcmplx_0: $i > $o ).
tff(decl_26,type,
v2_membered: $i > $o ).
tff(decl_27,type,
v1_xreal_0: $i > $o ).
tff(decl_28,type,
v3_membered: $i > $o ).
tff(decl_29,type,
v1_rat_1: $i > $o ).
tff(decl_30,type,
v4_membered: $i > $o ).
tff(decl_31,type,
v1_int_1: $i > $o ).
tff(decl_32,type,
v5_membered: $i > $o ).
tff(decl_33,type,
natural: $i > $o ).
tff(decl_34,type,
empty: $i > $o ).
tff(decl_35,type,
powerset: $i > $i ).
tff(decl_36,type,
top_str: $i > $o ).
tff(decl_37,type,
the_carrier: $i > $i ).
tff(decl_38,type,
open_subsets: ( $i * $i ) > $o ).
tff(decl_39,type,
open_subset: ( $i * $i ) > $o ).
tff(decl_40,type,
closed_subsets: ( $i * $i ) > $o ).
tff(decl_41,type,
closed_subset: ( $i * $i ) > $o ).
tff(decl_42,type,
complements_of_subsets: ( $i * $i ) > $i ).
tff(decl_43,type,
subset_complement: ( $i * $i ) > $i ).
tff(decl_44,type,
one_sorted_str: $i > $o ).
tff(decl_45,type,
empty_set: $i ).
tff(decl_46,type,
subset: ( $i * $i ) > $o ).
tff(decl_47,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_48,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_49,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
esk4_0: $i ).
tff(decl_51,type,
esk5_0: $i ).
tff(decl_52,type,
esk6_1: $i > $i ).
tff(decl_53,type,
esk7_0: $i ).
tff(decl_54,type,
esk8_1: $i > $i ).
tff(decl_55,type,
esk9_1: $i > $i ).
tff(decl_56,type,
esk10_0: $i ).
tff(decl_57,type,
esk11_0: $i ).
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(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(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,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
% 0.00/0.13 % Problem : SEU336+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 23 19:52:23 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 24.45/24.54 % Version : CSE_E---1.5
% 24.45/24.54 % Problem : theBenchmark.p
% 24.45/24.54 % Proof found
% 24.45/24.54 % SZS status Theorem for theBenchmark.p
% 24.45/24.54 % SZS output start Proof
% See solution above
% 24.45/24.55 % Total time : 23.971000 s
% 24.45/24.55 % SZS output end Proof
% 24.45/24.55 % Total time : 23.976000 s
%------------------------------------------------------------------------------