TSTP Solution File: ALG224+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG224+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n027.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 : Thu Jul 14 15:33:08 EDT 2022
% Result : Theorem 40.58s 7.56s
% Output : CNFRefutation 40.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of clauses : 37 ( 21 unt; 3 nHn; 37 RR)
% Number of literals : 86 ( 0 equ; 48 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-5 aty)
% Number of variables : 50 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_355,plain,
( r2_closure3(X1,X2,X3,X4)
| r2_hidden(esk67_4(X1,X2,X3,X4),X3)
| ~ m1_pboole(X2,X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o72k1p91/input.p',i_0_355) ).
cnf(i_0_3205,negated_conjecture,
m1_subset_1(esk461_0,k1_zfmisc_1(k1_closure2(esk457_0,esk458_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o72k1p91/input.p',i_0_3205) ).
cnf(i_0_3208,negated_conjecture,
m1_pboole(esk458_0,esk457_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o72k1p91/input.p',i_0_3208) ).
cnf(i_0_356,plain,
( r1_tarski(esk66_5(X1,X2,X3,X4,X5),X5)
| ~ r2_hidden(X5,X3)
| ~ m1_pboole(X2,X1)
| ~ r2_closure3(X1,X2,X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o72k1p91/input.p',i_0_356) ).
cnf(i_0_3204,negated_conjecture,
r2_closure3(esk457_0,esk458_0,esk459_0,esk460_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o72k1p91/input.p',i_0_3204) ).
cnf(i_0_3206,negated_conjecture,
m1_subset_1(esk460_0,k1_zfmisc_1(k1_closure2(esk457_0,esk458_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o72k1p91/input.p',i_0_3206) ).
cnf(i_0_3207,negated_conjecture,
m1_subset_1(esk459_0,k1_zfmisc_1(k1_closure2(esk457_0,esk458_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o72k1p91/input.p',i_0_3207) ).
cnf(i_0_3202,negated_conjecture,
~ r2_closure3(esk457_0,esk458_0,esk459_0,esk461_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o72k1p91/input.p',i_0_3202) ).
cnf(i_0_357,plain,
( r2_hidden(esk66_5(X1,X2,X3,X4,X5),X4)
| ~ r2_hidden(X5,X3)
| ~ m1_pboole(X2,X1)
| ~ r2_closure3(X1,X2,X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o72k1p91/input.p',i_0_357) ).
cnf(i_0_3203,negated_conjecture,
r2_closure3(esk457_0,esk458_0,esk460_0,esk461_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o72k1p91/input.p',i_0_3203) ).
cnf(i_0_2137,plain,
( r1_tarski(X1,X2)
| ~ r1_tarski(X3,X2)
| ~ r1_tarski(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o72k1p91/input.p',i_0_2137) ).
cnf(i_0_354,plain,
( r2_closure3(X1,X2,X3,X4)
| ~ r2_hidden(X5,X4)
| ~ m1_pboole(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ r1_tarski(X5,esk67_4(X1,X2,X3,X4)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o72k1p91/input.p',i_0_354) ).
cnf(c_0_3221,plain,
( r2_closure3(X1,X2,X3,X4)
| r2_hidden(esk67_4(X1,X2,X3,X4),X3)
| ~ m1_pboole(X2,X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2))) ),
i_0_355 ).
cnf(c_0_3222,negated_conjecture,
m1_subset_1(esk461_0,k1_zfmisc_1(k1_closure2(esk457_0,esk458_0))),
i_0_3205 ).
cnf(c_0_3223,negated_conjecture,
m1_pboole(esk458_0,esk457_0),
i_0_3208 ).
cnf(c_0_3224,plain,
( r1_tarski(esk66_5(X1,X2,X3,X4,X5),X5)
| ~ r2_hidden(X5,X3)
| ~ m1_pboole(X2,X1)
| ~ r2_closure3(X1,X2,X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2))) ),
i_0_356 ).
cnf(c_0_3225,negated_conjecture,
r2_closure3(esk457_0,esk458_0,esk459_0,esk460_0),
i_0_3204 ).
cnf(c_0_3226,negated_conjecture,
m1_subset_1(esk460_0,k1_zfmisc_1(k1_closure2(esk457_0,esk458_0))),
i_0_3206 ).
cnf(c_0_3227,negated_conjecture,
m1_subset_1(esk459_0,k1_zfmisc_1(k1_closure2(esk457_0,esk458_0))),
i_0_3207 ).
cnf(c_0_3228,negated_conjecture,
( r2_closure3(esk457_0,esk458_0,X1,esk461_0)
| r2_hidden(esk67_4(esk457_0,esk458_0,X1,esk461_0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(esk457_0,esk458_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3221,c_0_3222]),c_0_3223])]) ).
cnf(c_0_3229,negated_conjecture,
~ r2_closure3(esk457_0,esk458_0,esk459_0,esk461_0),
i_0_3202 ).
cnf(c_0_3230,plain,
( r2_hidden(esk66_5(X1,X2,X3,X4,X5),X4)
| ~ r2_hidden(X5,X3)
| ~ m1_pboole(X2,X1)
| ~ r2_closure3(X1,X2,X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2))) ),
i_0_357 ).
cnf(c_0_3231,negated_conjecture,
( r1_tarski(esk66_5(esk457_0,esk458_0,esk459_0,esk460_0,X1),X1)
| ~ r2_hidden(X1,esk459_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3224,c_0_3225]),c_0_3223]),c_0_3226]),c_0_3227])]) ).
cnf(c_0_3232,negated_conjecture,
r2_hidden(esk67_4(esk457_0,esk458_0,esk459_0,esk461_0),esk459_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3228,c_0_3227]),c_0_3229]) ).
cnf(c_0_3233,negated_conjecture,
r2_closure3(esk457_0,esk458_0,esk460_0,esk461_0),
i_0_3203 ).
cnf(c_0_3234,negated_conjecture,
( r2_hidden(esk66_5(esk457_0,esk458_0,esk459_0,esk460_0,X1),esk460_0)
| ~ r2_hidden(X1,esk459_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3230,c_0_3225]),c_0_3223]),c_0_3226]),c_0_3227])]) ).
cnf(c_0_3235,plain,
( r1_tarski(X1,X2)
| ~ r1_tarski(X3,X2)
| ~ r1_tarski(X1,X3) ),
i_0_2137 ).
cnf(c_0_3236,negated_conjecture,
r1_tarski(esk66_5(esk457_0,esk458_0,esk459_0,esk460_0,esk67_4(esk457_0,esk458_0,esk459_0,esk461_0)),esk67_4(esk457_0,esk458_0,esk459_0,esk461_0)),
inference(spm,[status(thm)],[c_0_3231,c_0_3232]) ).
cnf(c_0_3237,negated_conjecture,
( r1_tarski(esk66_5(esk457_0,esk458_0,esk460_0,esk461_0,X1),X1)
| ~ r2_hidden(X1,esk460_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3224,c_0_3233]),c_0_3223]),c_0_3222]),c_0_3226])]) ).
cnf(c_0_3238,negated_conjecture,
r2_hidden(esk66_5(esk457_0,esk458_0,esk459_0,esk460_0,esk67_4(esk457_0,esk458_0,esk459_0,esk461_0)),esk460_0),
inference(spm,[status(thm)],[c_0_3234,c_0_3232]) ).
cnf(c_0_3239,plain,
( r1_tarski(X1,esk67_4(esk457_0,esk458_0,esk459_0,esk461_0))
| ~ r1_tarski(X1,esk66_5(esk457_0,esk458_0,esk459_0,esk460_0,esk67_4(esk457_0,esk458_0,esk459_0,esk461_0))) ),
inference(spm,[status(thm)],[c_0_3235,c_0_3236]) ).
cnf(c_0_3240,negated_conjecture,
r1_tarski(esk66_5(esk457_0,esk458_0,esk460_0,esk461_0,esk66_5(esk457_0,esk458_0,esk459_0,esk460_0,esk67_4(esk457_0,esk458_0,esk459_0,esk461_0))),esk66_5(esk457_0,esk458_0,esk459_0,esk460_0,esk67_4(esk457_0,esk458_0,esk459_0,esk461_0))),
inference(spm,[status(thm)],[c_0_3237,c_0_3238]) ).
cnf(c_0_3241,negated_conjecture,
( r2_hidden(esk66_5(esk457_0,esk458_0,esk460_0,esk461_0,X1),esk461_0)
| ~ r2_hidden(X1,esk460_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3230,c_0_3233]),c_0_3223]),c_0_3222]),c_0_3226])]) ).
cnf(c_0_3242,plain,
( r2_closure3(X1,X2,X3,X4)
| ~ r2_hidden(X5,X4)
| ~ m1_pboole(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ r1_tarski(X5,esk67_4(X1,X2,X3,X4)) ),
i_0_354 ).
cnf(c_0_3243,negated_conjecture,
r1_tarski(esk66_5(esk457_0,esk458_0,esk460_0,esk461_0,esk66_5(esk457_0,esk458_0,esk459_0,esk460_0,esk67_4(esk457_0,esk458_0,esk459_0,esk461_0))),esk67_4(esk457_0,esk458_0,esk459_0,esk461_0)),
inference(spm,[status(thm)],[c_0_3239,c_0_3240]) ).
cnf(c_0_3244,negated_conjecture,
r2_hidden(esk66_5(esk457_0,esk458_0,esk460_0,esk461_0,esk66_5(esk457_0,esk458_0,esk459_0,esk460_0,esk67_4(esk457_0,esk458_0,esk459_0,esk461_0))),esk461_0),
inference(spm,[status(thm)],[c_0_3241,c_0_3238]) ).
cnf(c_0_3245,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3242,c_0_3243]),c_0_3223]),c_0_3222]),c_0_3227]),c_0_3244])]),c_0_3229]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : ALG224+2 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n027.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Wed Jun 8 00:07:28 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.43 # ENIGMATIC: Selected SinE mode:
% 0.38/0.62 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.62 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.38/0.62 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.38/0.62 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 40.58/7.56 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 40.58/7.56 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 38; version: 991; iters: 150)
% 40.58/7.56 # Preprocessing time : 1.979 s
% 40.58/7.56 # Presaturation interreduction done
% 40.58/7.56
% 40.58/7.56 # Proof found!
% 40.58/7.56 # SZS status Theorem
% 40.58/7.56 # SZS output start CNFRefutation
% See solution above
% 40.58/7.56 # Training examples: 0 positive, 0 negative
% 40.58/7.56
% 40.58/7.56 # -------------------------------------------------
% 40.58/7.56 # User time : 3.748 s
% 40.58/7.56 # System time : 0.130 s
% 40.58/7.56 # Total time : 3.878 s
% 40.58/7.56 # ...preprocessing : 1.979 s
% 40.58/7.56 # ...main loop : 1.899 s
% 40.58/7.56 # Maximum resident set size: 178292 pages
% 40.58/7.56
%------------------------------------------------------------------------------