TSTP Solution File: NUM924+6 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM924+6 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n026.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 : Mon Jul 18 08:41:09 EDT 2022
% Result : Theorem 7.67s 2.62s
% Output : CNFRefutation 7.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of clauses : 39 ( 39 unt; 0 nHn; 18 RR)
% Number of literals : 39 ( 31 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 33 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_133,plain,
plus_plus(int,pls,X1) = ti(int,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vbsku3ln/lgb.p',i_0_133) ).
cnf(i_0_132,plain,
plus_plus(int,X1,pls) = ti(int,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vbsku3ln/lgb.p',i_0_132) ).
cnf(i_0_704,plain,
number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))) = plus_plus(nat,one_one(nat),one_one(nat)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vbsku3ln/lgb.p',i_0_704) ).
cnf(i_0_763,plain,
plus_plus(int,plus_plus(int,X1,X2),X3) = plus_plus(int,X1,plus_plus(int,X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vbsku3ln/lgb.p',i_0_763) ).
cnf(i_0_807,hypothesis,
ti(int,plus_plus(int,X1,X1)) = plus_plus(int,X1,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vbsku3ln/lgb.p',i_0_807) ).
cnf(i_0_765,plain,
plus_plus(int,X1,X2) = plus_plus(int,X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vbsku3ln/lgb.p',i_0_765) ).
cnf(i_0_87,negated_conjecture,
~ ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),one_one(int)),zero_zero(int)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vbsku3ln/lgb.p',i_0_87) ).
cnf(i_0_121,plain,
zero_zero(int) = pls,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vbsku3ln/lgb.p',i_0_121) ).
cnf(i_0_281,plain,
number_number_of(int,X1) = ti(int,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vbsku3ln/lgb.p',i_0_281) ).
cnf(i_0_764,plain,
plus_plus(int,X1,plus_plus(int,X2,X3)) = plus_plus(int,X2,plus_plus(int,X1,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vbsku3ln/lgb.p',i_0_764) ).
cnf(i_0_537,plain,
times_times(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)),t) = plus_plus(int,power_power(int,s,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),one_one(int)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vbsku3ln/lgb.p',i_0_537) ).
cnf(i_0_295,plain,
times_times(int,X1,X2) = times_times(int,X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vbsku3ln/lgb.p',i_0_295) ).
cnf(i_0_253,plain,
ord_less(int,times_times(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)),t),times_times(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)),zero_zero(int))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vbsku3ln/lgb.p',i_0_253) ).
cnf(i_0_705,plain,
times_times(int,pls,X1) = pls,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vbsku3ln/lgb.p',i_0_705) ).
cnf(c_0_822,plain,
plus_plus(int,pls,X1) = ti(int,X1),
i_0_133 ).
cnf(c_0_823,plain,
plus_plus(int,X1,pls) = ti(int,X1),
i_0_132 ).
cnf(c_0_824,plain,
number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))) = plus_plus(nat,one_one(nat),one_one(nat)),
i_0_704 ).
cnf(c_0_825,plain,
plus_plus(int,X1,pls) = plus_plus(int,pls,X1),
inference(rw,[status(thm)],[c_0_822,c_0_823]) ).
cnf(c_0_826,plain,
number_number_of(nat,plus_plus(int,plus_plus(int,pls,plus_plus(int,pls,one_one(int))),plus_plus(int,pls,plus_plus(int,pls,one_one(int))))) = plus_plus(nat,one_one(nat),one_one(nat)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_824,c_0_825]),c_0_825]),c_0_825]),c_0_825]) ).
cnf(c_0_827,plain,
plus_plus(int,plus_plus(int,X1,X2),X3) = plus_plus(int,X1,plus_plus(int,X2,X3)),
i_0_763 ).
cnf(c_0_828,hypothesis,
ti(int,plus_plus(int,X1,X1)) = plus_plus(int,X1,X1),
i_0_807 ).
cnf(c_0_829,plain,
plus_plus(int,X1,X2) = plus_plus(int,X2,X1),
i_0_765 ).
cnf(c_0_830,negated_conjecture,
~ ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),one_one(int)),zero_zero(int)),
i_0_87 ).
cnf(c_0_831,plain,
zero_zero(int) = pls,
i_0_121 ).
cnf(c_0_832,plain,
number_number_of(int,X1) = ti(int,X1),
i_0_281 ).
cnf(c_0_833,plain,
number_number_of(nat,plus_plus(int,pls,plus_plus(int,pls,plus_plus(int,one_one(int),plus_plus(int,pls,plus_plus(int,pls,one_one(int))))))) = plus_plus(nat,one_one(nat),one_one(nat)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_826,c_0_827]),c_0_827]) ).
cnf(c_0_834,plain,
plus_plus(int,X1,plus_plus(int,X2,X3)) = plus_plus(int,X2,plus_plus(int,X1,X3)),
i_0_764 ).
cnf(c_0_835,hypothesis,
plus_plus(int,pls,plus_plus(int,X1,X1)) = plus_plus(int,X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_828,c_0_823]),c_0_829]) ).
cnf(c_0_836,negated_conjecture,
~ ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),one_one(int)),pls),
inference(rw,[status(thm)],[c_0_830,c_0_831]) ).
cnf(c_0_837,plain,
times_times(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)),t) = plus_plus(int,power_power(int,s,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),one_one(int)),
i_0_537 ).
cnf(c_0_838,plain,
number_number_of(int,X1) = plus_plus(int,X1,pls),
inference(rw,[status(thm)],[c_0_832,c_0_823]) ).
cnf(c_0_839,plain,
times_times(int,X1,X2) = times_times(int,X2,X1),
i_0_295 ).
cnf(c_0_840,plain,
number_number_of(nat,plus_plus(int,one_one(int),one_one(int))) = plus_plus(nat,one_one(nat),one_one(nat)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_833,c_0_834]),c_0_834]),c_0_835]),c_0_835]),c_0_835]),c_0_835]) ).
cnf(c_0_841,negated_conjecture,
~ ord_less(int,plus_plus(int,power_power(int,s,plus_plus(nat,one_one(nat),one_one(nat))),one_one(int)),pls),
inference(rw,[status(thm)],[c_0_836,c_0_824]) ).
cnf(c_0_842,plain,
ord_less(int,times_times(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)),t),times_times(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)),zero_zero(int))),
i_0_253 ).
cnf(c_0_843,plain,
times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,plus_plus(int,one_one(int),plus_plus(int,one_one(int),plus_plus(int,one_one(int),one_one(int))))))) = plus_plus(int,one_one(int),power_power(int,s,plus_plus(nat,one_one(nat),one_one(nat)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_837,c_0_825]),c_0_825]),c_0_825]),c_0_825]),c_0_827]),c_0_827]),c_0_834]),c_0_834]),c_0_835]),c_0_835]),c_0_835]),c_0_835]),c_0_825]),c_0_825]),c_0_825]),c_0_825]),c_0_827]),c_0_827]),c_0_834]),c_0_834]),c_0_835]),c_0_835]),c_0_835]),c_0_835]),c_0_827]),c_0_838]),c_0_827]),c_0_827]),c_0_827]),c_0_825]),c_0_834]),c_0_835]),c_0_839]),c_0_829]),c_0_839]),c_0_825]),c_0_825]),c_0_825]),c_0_825]),c_0_827]),c_0_827]),c_0_834]),c_0_834]),c_0_835]),c_0_835]),c_0_835]),c_0_835]),c_0_840]),c_0_829]) ).
cnf(c_0_844,plain,
times_times(int,pls,X1) = pls,
i_0_705 ).
cnf(c_0_845,negated_conjecture,
~ ord_less(int,plus_plus(int,one_one(int),power_power(int,s,plus_plus(nat,one_one(nat),one_one(nat)))),pls),
inference(rw,[status(thm)],[c_0_841,c_0_829]) ).
cnf(c_0_846,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_842,c_0_825]),c_0_825]),c_0_825]),c_0_825]),c_0_827]),c_0_827]),c_0_834]),c_0_834]),c_0_835]),c_0_835]),c_0_835]),c_0_835]),c_0_825]),c_0_825]),c_0_825]),c_0_825]),c_0_827]),c_0_827]),c_0_834]),c_0_834]),c_0_835]),c_0_835]),c_0_835]),c_0_835]),c_0_827]),c_0_838]),c_0_827]),c_0_827]),c_0_827]),c_0_825]),c_0_834]),c_0_835]),c_0_839]),c_0_829]),c_0_839]),c_0_843]),c_0_825]),c_0_825]),c_0_825]),c_0_825]),c_0_827]),c_0_827]),c_0_834]),c_0_834]),c_0_835]),c_0_835]),c_0_835]),c_0_835]),c_0_825]),c_0_825]),c_0_825]),c_0_825]),c_0_827]),c_0_827]),c_0_834]),c_0_834]),c_0_835]),c_0_835]),c_0_835]),c_0_835]),c_0_827]),c_0_838]),c_0_827]),c_0_827]),c_0_827]),c_0_825]),c_0_834]),c_0_835]),c_0_839]),c_0_829]),c_0_831]),c_0_839]),c_0_844]),c_0_845]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM924+6 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 5 21:42:24 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.19/0.47 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.47 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.47 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 7.67/2.62 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.67/2.62 # No SInE strategy applied
% 7.67/2.62 # Trying AutoSched0 for 150 seconds
% 7.67/2.62 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S034N
% 7.67/2.62 # and selection function SelectUnlessPosMax.
% 7.67/2.62 #
% 7.67/2.62 # Preprocessing time : 0.025 s
% 7.67/2.62 # Presaturation interreduction done
% 7.67/2.62
% 7.67/2.62 # Proof found!
% 7.67/2.62 # SZS status Theorem
% 7.67/2.62 # SZS output start CNFRefutation
% See solution above
% 7.67/2.62 # Training examples: 0 positive, 0 negative
% 7.67/2.62
% 7.67/2.62 # -------------------------------------------------
% 7.67/2.62 # User time : 0.034 s
% 7.67/2.62 # System time : 0.004 s
% 7.67/2.62 # Total time : 0.038 s
% 7.67/2.62 # Maximum resident set size: 7120 pages
% 7.67/2.62
%------------------------------------------------------------------------------