TSTP Solution File: SEU324+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU324+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 08:40:49 EDT 2022
% Result : Theorem 21.64s 4.53s
% Output : CNFRefutation 21.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 15
% Syntax : Number of clauses : 37 ( 14 unt; 2 nHn; 37 RR)
% Number of literals : 80 ( 18 equ; 44 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_201,plain,
( subset_complement(the_carrier(X1),topstr_closure(X1,subset_complement(the_carrier(X1),X2))) = interior(X1,X2)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yhpef5ex/input.p',i_0_201) ).
cnf(i_0_1887,lemma,
( topstr_closure(X1,X2) = X2
| ~ top_str(X1)
| ~ closed_subset(X2,X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yhpef5ex/input.p',i_0_1887) ).
cnf(i_0_432,plain,
( element(subset_complement(X1,X2),powerset(X1))
| ~ element(X2,powerset(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yhpef5ex/input.p',i_0_432) ).
cnf(i_0_610,plain,
( subset_complement(X1,subset_complement(X1,X2)) = X2
| ~ element(X2,powerset(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yhpef5ex/input.p',i_0_610) ).
cnf(i_0_1798,lemma,
( closed_subset(subset_complement(the_carrier(X1),X2),X1)
| ~ top_str(X1)
| ~ open_subset(X2,X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yhpef5ex/input.p',i_0_1798) ).
cnf(i_0_599,plain,
( open_subset(interior(X1,X2),X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yhpef5ex/input.p',i_0_599) ).
cnf(i_0_1910,negated_conjecture,
( interior(esk337_0,esk339_0) = esk339_0
| open_subset(esk340_0,esk338_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yhpef5ex/input.p',i_0_1910) ).
cnf(i_0_1912,negated_conjecture,
element(esk339_0,powerset(the_carrier(esk337_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yhpef5ex/input.p',i_0_1912) ).
cnf(i_0_1915,negated_conjecture,
topological_space(esk337_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yhpef5ex/input.p',i_0_1915) ).
cnf(i_0_1914,negated_conjecture,
top_str(esk337_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yhpef5ex/input.p',i_0_1914) ).
cnf(i_0_1909,negated_conjecture,
( open_subset(esk340_0,esk338_0)
| ~ open_subset(esk339_0,esk337_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yhpef5ex/input.p',i_0_1909) ).
cnf(i_0_1908,negated_conjecture,
( interior(esk337_0,esk339_0) = esk339_0
| interior(esk338_0,esk340_0) != esk340_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yhpef5ex/input.p',i_0_1908) ).
cnf(i_0_1911,negated_conjecture,
element(esk340_0,powerset(the_carrier(esk338_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yhpef5ex/input.p',i_0_1911) ).
cnf(i_0_1913,negated_conjecture,
top_str(esk338_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yhpef5ex/input.p',i_0_1913) ).
cnf(i_0_1907,negated_conjecture,
( interior(esk338_0,esk340_0) != esk340_0
| ~ open_subset(esk339_0,esk337_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yhpef5ex/input.p',i_0_1907) ).
cnf(c_0_1931,plain,
( subset_complement(the_carrier(X1),topstr_closure(X1,subset_complement(the_carrier(X1),X2))) = interior(X1,X2)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_201 ).
cnf(c_0_1932,lemma,
( topstr_closure(X1,X2) = X2
| ~ top_str(X1)
| ~ closed_subset(X2,X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_1887 ).
cnf(c_0_1933,plain,
( element(subset_complement(X1,X2),powerset(X1))
| ~ element(X2,powerset(X1)) ),
i_0_432 ).
cnf(c_0_1934,plain,
( subset_complement(X1,subset_complement(X1,X2)) = X2
| ~ element(X2,powerset(X1)) ),
i_0_610 ).
cnf(c_0_1935,lemma,
( subset_complement(the_carrier(X1),subset_complement(the_carrier(X1),X2)) = interior(X1,X2)
| ~ closed_subset(subset_complement(the_carrier(X1),X2),X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1931,c_0_1932]),c_0_1933]) ).
cnf(c_0_1936,plain,
( interior(X1,X2) = X2
| ~ closed_subset(subset_complement(the_carrier(X1),X2),X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(spm,[status(thm)],[c_0_1934,c_0_1935]) ).
cnf(c_0_1937,lemma,
( closed_subset(subset_complement(the_carrier(X1),X2),X1)
| ~ top_str(X1)
| ~ open_subset(X2,X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_1798 ).
cnf(c_0_1938,plain,
( open_subset(interior(X1,X2),X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_599 ).
cnf(c_0_1939,negated_conjecture,
( interior(esk337_0,esk339_0) = esk339_0
| open_subset(esk340_0,esk338_0) ),
i_0_1910 ).
cnf(c_0_1940,negated_conjecture,
element(esk339_0,powerset(the_carrier(esk337_0))),
i_0_1912 ).
cnf(c_0_1941,negated_conjecture,
topological_space(esk337_0),
i_0_1915 ).
cnf(c_0_1942,negated_conjecture,
top_str(esk337_0),
i_0_1914 ).
cnf(c_0_1943,negated_conjecture,
( open_subset(esk340_0,esk338_0)
| ~ open_subset(esk339_0,esk337_0) ),
i_0_1909 ).
cnf(c_0_1944,negated_conjecture,
( interior(esk337_0,esk339_0) = esk339_0
| interior(esk338_0,esk340_0) != esk340_0 ),
i_0_1908 ).
cnf(c_0_1945,lemma,
( interior(X1,X2) = X2
| ~ open_subset(X2,X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(spm,[status(thm)],[c_0_1936,c_0_1937]) ).
cnf(c_0_1946,negated_conjecture,
open_subset(esk340_0,esk338_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1938,c_0_1939]),c_0_1940]),c_0_1941]),c_0_1942])]),c_0_1943]) ).
cnf(c_0_1947,negated_conjecture,
element(esk340_0,powerset(the_carrier(esk338_0))),
i_0_1911 ).
cnf(c_0_1948,negated_conjecture,
top_str(esk338_0),
i_0_1913 ).
cnf(c_0_1949,negated_conjecture,
( interior(esk338_0,esk340_0) != esk340_0
| ~ open_subset(esk339_0,esk337_0) ),
i_0_1907 ).
cnf(c_0_1950,negated_conjecture,
interior(esk337_0,esk339_0) = esk339_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1944,c_0_1945]),c_0_1946]),c_0_1947]),c_0_1948])]) ).
cnf(c_0_1951,negated_conjecture,
~ open_subset(esk339_0,esk337_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1949,c_0_1945]),c_0_1946]),c_0_1947]),c_0_1948])]) ).
cnf(c_0_1952,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1938,c_0_1950]),c_0_1940]),c_0_1941]),c_0_1942])]),c_0_1951]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU324+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 22:04:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected SinE mode:
% 0.18/0.48 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.48 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.48 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 21.64/4.53 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 21.64/4.53 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 47; version: 991; iters: 150)
% 21.64/4.53 # Preprocessing time : 1.660 s
% 21.64/4.53
% 21.64/4.53 # Proof found!
% 21.64/4.53 # SZS status Theorem
% 21.64/4.53 # SZS output start CNFRefutation
% See solution above
% 21.64/4.53 # Training examples: 0 positive, 0 negative
% 21.64/4.53
% 21.64/4.53 # -------------------------------------------------
% 21.64/4.53 # User time : 1.584 s
% 21.64/4.53 # System time : 0.125 s
% 21.64/4.53 # Total time : 1.709 s
% 21.64/4.53 # ...preprocessing : 1.660 s
% 21.64/4.53 # ...main loop : 0.049 s
% 21.64/4.53 # Maximum resident set size: 180160 pages
% 21.64/4.53
%------------------------------------------------------------------------------