TSTP Solution File: ALG223+2 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG223+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 37.01s 7.03s
% Output : CNFRefutation 37.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% 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_287,plain,
( r1_closure3(X1,X2,X3,X4)
| r2_hidden(esk47_4(X1,X2,X3,X4),X4)
| ~ 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-1qaui89v/input.p',i_0_287) ).
cnf(i_0_3003,negated_conjecture,
m1_subset_1(esk438_0,k1_zfmisc_1(k1_closure2(esk436_0,esk437_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1qaui89v/input.p',i_0_3003) ).
cnf(i_0_3004,negated_conjecture,
m1_pboole(esk437_0,esk436_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1qaui89v/input.p',i_0_3004) ).
cnf(i_0_289,plain,
( r2_hidden(esk46_5(X1,X2,X3,X4,X5),X3)
| ~ r2_hidden(X5,X4)
| ~ m1_pboole(X2,X1)
| ~ r1_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-1qaui89v/input.p',i_0_289) ).
cnf(i_0_3000,negated_conjecture,
r1_closure3(esk436_0,esk437_0,esk439_0,esk438_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1qaui89v/input.p',i_0_3000) ).
cnf(i_0_3002,negated_conjecture,
m1_subset_1(esk439_0,k1_zfmisc_1(k1_closure2(esk436_0,esk437_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1qaui89v/input.p',i_0_3002) ).
cnf(i_0_3001,negated_conjecture,
m1_subset_1(esk440_0,k1_zfmisc_1(k1_closure2(esk436_0,esk437_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1qaui89v/input.p',i_0_3001) ).
cnf(i_0_2998,negated_conjecture,
~ r1_closure3(esk436_0,esk437_0,esk440_0,esk438_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1qaui89v/input.p',i_0_2998) ).
cnf(i_0_288,plain,
( r1_tarski(X1,esk46_5(X2,X3,X4,X5,X1))
| ~ r2_hidden(X1,X5)
| ~ m1_pboole(X3,X2)
| ~ r1_closure3(X2,X3,X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(k1_closure2(X2,X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X2,X3))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1qaui89v/input.p',i_0_288) ).
cnf(i_0_2999,negated_conjecture,
r1_closure3(esk436_0,esk437_0,esk440_0,esk439_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1qaui89v/input.p',i_0_2999) ).
cnf(i_0_2132,plain,
( r1_tarski(X1,X2)
| ~ r1_tarski(X3,X2)
| ~ r1_tarski(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1qaui89v/input.p',i_0_2132) ).
cnf(i_0_286,plain,
( r1_closure3(X1,X2,X3,X4)
| ~ r2_hidden(X5,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)))
| ~ r1_tarski(esk47_4(X1,X2,X3,X4),X5) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1qaui89v/input.p',i_0_286) ).
cnf(c_0_3017,plain,
( r1_closure3(X1,X2,X3,X4)
| r2_hidden(esk47_4(X1,X2,X3,X4),X4)
| ~ 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_287 ).
cnf(c_0_3018,negated_conjecture,
m1_subset_1(esk438_0,k1_zfmisc_1(k1_closure2(esk436_0,esk437_0))),
i_0_3003 ).
cnf(c_0_3019,negated_conjecture,
m1_pboole(esk437_0,esk436_0),
i_0_3004 ).
cnf(c_0_3020,plain,
( r2_hidden(esk46_5(X1,X2,X3,X4,X5),X3)
| ~ r2_hidden(X5,X4)
| ~ m1_pboole(X2,X1)
| ~ r1_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_289 ).
cnf(c_0_3021,negated_conjecture,
r1_closure3(esk436_0,esk437_0,esk439_0,esk438_0),
i_0_3000 ).
cnf(c_0_3022,negated_conjecture,
m1_subset_1(esk439_0,k1_zfmisc_1(k1_closure2(esk436_0,esk437_0))),
i_0_3002 ).
cnf(c_0_3023,negated_conjecture,
( r1_closure3(esk436_0,esk437_0,X1,esk438_0)
| r2_hidden(esk47_4(esk436_0,esk437_0,X1,esk438_0),esk438_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(esk436_0,esk437_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3017,c_0_3018]),c_0_3019])]) ).
cnf(c_0_3024,negated_conjecture,
m1_subset_1(esk440_0,k1_zfmisc_1(k1_closure2(esk436_0,esk437_0))),
i_0_3001 ).
cnf(c_0_3025,negated_conjecture,
~ r1_closure3(esk436_0,esk437_0,esk440_0,esk438_0),
i_0_2998 ).
cnf(c_0_3026,plain,
( r1_tarski(X1,esk46_5(X2,X3,X4,X5,X1))
| ~ r2_hidden(X1,X5)
| ~ m1_pboole(X3,X2)
| ~ r1_closure3(X2,X3,X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(k1_closure2(X2,X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X2,X3))) ),
i_0_288 ).
cnf(c_0_3027,negated_conjecture,
r1_closure3(esk436_0,esk437_0,esk440_0,esk439_0),
i_0_2999 ).
cnf(c_0_3028,negated_conjecture,
( r2_hidden(esk46_5(esk436_0,esk437_0,esk439_0,esk438_0,X1),esk439_0)
| ~ r2_hidden(X1,esk438_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3020,c_0_3021]),c_0_3019]),c_0_3018]),c_0_3022])]) ).
cnf(c_0_3029,negated_conjecture,
r2_hidden(esk47_4(esk436_0,esk437_0,esk440_0,esk438_0),esk438_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3023,c_0_3024]),c_0_3025]) ).
cnf(c_0_3030,negated_conjecture,
( r1_tarski(X1,esk46_5(esk436_0,esk437_0,esk440_0,esk439_0,X1))
| ~ r2_hidden(X1,esk439_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3026,c_0_3027]),c_0_3019]),c_0_3022]),c_0_3024])]) ).
cnf(c_0_3031,negated_conjecture,
r2_hidden(esk46_5(esk436_0,esk437_0,esk439_0,esk438_0,esk47_4(esk436_0,esk437_0,esk440_0,esk438_0)),esk439_0),
inference(spm,[status(thm)],[c_0_3028,c_0_3029]) ).
cnf(c_0_3032,plain,
( r1_tarski(X1,X2)
| ~ r1_tarski(X3,X2)
| ~ r1_tarski(X1,X3) ),
i_0_2132 ).
cnf(c_0_3033,negated_conjecture,
r1_tarski(esk46_5(esk436_0,esk437_0,esk439_0,esk438_0,esk47_4(esk436_0,esk437_0,esk440_0,esk438_0)),esk46_5(esk436_0,esk437_0,esk440_0,esk439_0,esk46_5(esk436_0,esk437_0,esk439_0,esk438_0,esk47_4(esk436_0,esk437_0,esk440_0,esk438_0)))),
inference(spm,[status(thm)],[c_0_3030,c_0_3031]) ).
cnf(c_0_3034,negated_conjecture,
( r1_tarski(X1,esk46_5(esk436_0,esk437_0,esk439_0,esk438_0,X1))
| ~ r2_hidden(X1,esk438_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3026,c_0_3021]),c_0_3019]),c_0_3018]),c_0_3022])]) ).
cnf(c_0_3035,plain,
( r1_tarski(X1,esk46_5(esk436_0,esk437_0,esk440_0,esk439_0,esk46_5(esk436_0,esk437_0,esk439_0,esk438_0,esk47_4(esk436_0,esk437_0,esk440_0,esk438_0))))
| ~ r1_tarski(X1,esk46_5(esk436_0,esk437_0,esk439_0,esk438_0,esk47_4(esk436_0,esk437_0,esk440_0,esk438_0))) ),
inference(spm,[status(thm)],[c_0_3032,c_0_3033]) ).
cnf(c_0_3036,negated_conjecture,
r1_tarski(esk47_4(esk436_0,esk437_0,esk440_0,esk438_0),esk46_5(esk436_0,esk437_0,esk439_0,esk438_0,esk47_4(esk436_0,esk437_0,esk440_0,esk438_0))),
inference(spm,[status(thm)],[c_0_3034,c_0_3029]) ).
cnf(c_0_3037,negated_conjecture,
( r2_hidden(esk46_5(esk436_0,esk437_0,esk440_0,esk439_0,X1),esk440_0)
| ~ r2_hidden(X1,esk439_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3020,c_0_3027]),c_0_3019]),c_0_3022]),c_0_3024])]) ).
cnf(c_0_3038,plain,
( r1_closure3(X1,X2,X3,X4)
| ~ r2_hidden(X5,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)))
| ~ r1_tarski(esk47_4(X1,X2,X3,X4),X5) ),
i_0_286 ).
cnf(c_0_3039,negated_conjecture,
r1_tarski(esk47_4(esk436_0,esk437_0,esk440_0,esk438_0),esk46_5(esk436_0,esk437_0,esk440_0,esk439_0,esk46_5(esk436_0,esk437_0,esk439_0,esk438_0,esk47_4(esk436_0,esk437_0,esk440_0,esk438_0)))),
inference(spm,[status(thm)],[c_0_3035,c_0_3036]) ).
cnf(c_0_3040,negated_conjecture,
r2_hidden(esk46_5(esk436_0,esk437_0,esk440_0,esk439_0,esk46_5(esk436_0,esk437_0,esk439_0,esk438_0,esk47_4(esk436_0,esk437_0,esk440_0,esk438_0))),esk440_0),
inference(spm,[status(thm)],[c_0_3037,c_0_3031]) ).
cnf(c_0_3041,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_3038,c_0_3039]),c_0_3019]),c_0_3018]),c_0_3024]),c_0_3040])]),c_0_3025]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ALG223+2 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.32 % Computer : n029.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Wed Jun 8 11:39:38 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.18/0.43 # ENIGMATIC: Selected SinE mode:
% 0.44/0.60 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/0.60 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.44/0.60 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.44/0.60 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 37.01/7.03 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 37.01/7.03 # 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)
% 37.01/7.03 # Preprocessing time : 2.055 s
% 37.01/7.03 # Presaturation interreduction done
% 37.01/7.03
% 37.01/7.03 # Proof found!
% 37.01/7.03 # SZS status Theorem
% 37.01/7.03 # SZS output start CNFRefutation
% See solution above
% 37.01/7.03 # Training examples: 0 positive, 0 negative
% 37.01/7.03
% 37.01/7.03 # -------------------------------------------------
% 37.01/7.03 # User time : 3.438 s
% 37.01/7.03 # System time : 0.136 s
% 37.01/7.03 # Total time : 3.574 s
% 37.01/7.03 # ...preprocessing : 2.055 s
% 37.01/7.03 # ...main loop : 1.519 s
% 37.01/7.03 # Maximum resident set size: 176700 pages
% 37.01/7.03
%------------------------------------------------------------------------------