%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM924+2 : 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 08:41:06 EDT 2022
% Result : Theorem 8.79s 2.72s
% Output : CNFRefutation 8.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of clauses : 33 ( 33 unt; 0 nHn; 19 RR)
% Number of literals : 33 ( 24 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 16 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 26 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_917,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/sandbox/tmp/enigma-theBenchmark.p-if_3c1ug/lgb.p',i_0_917) ).
cnf(i_0_65,plain,
plus_plus_int(X1,X2) = plus_plus_int(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if_3c1ug/lgb.p',i_0_65) ).
cnf(i_0_1,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/sandbox/tmp/enigma-theBenchmark.p-if_3c1ug/lgb.p',i_0_1) ).
cnf(i_0_123,plain,
zero_zero_int = pls,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if_3c1ug/lgb.p',i_0_123) ).
cnf(i_0_63,plain,
plus_plus_int(plus_plus_int(X1,X2),X3) = plus_plus_int(X1,plus_plus_int(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if_3c1ug/lgb.p',i_0_63) ).
cnf(i_0_64,plain,
plus_plus_int(X1,plus_plus_int(X2,X3)) = plus_plus_int(X2,plus_plus_int(X1,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if_3c1ug/lgb.p',i_0_64) ).
cnf(i_0_495,plain,
times_times_int(X1,X1) = power_power_int(X1,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)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if_3c1ug/lgb.p',i_0_495) ).
cnf(i_0_443,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/sandbox/tmp/enigma-theBenchmark.p-if_3c1ug/lgb.p',i_0_443) ).
cnf(i_0_381,plain,
times_times_int(X1,X2) = times_times_int(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if_3c1ug/lgb.p',i_0_381) ).
cnf(i_0_384,plain,
times_times_int(X1,zero_zero_int) = zero_zero_int,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if_3c1ug/lgb.p',i_0_384) ).
cnf(i_0_172,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/sandbox/tmp/enigma-theBenchmark.p-if_3c1ug/lgb.p',i_0_172) ).
cnf(c_0_929,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_917 ).
cnf(c_0_930,plain,
plus_plus_int(X1,X2) = plus_plus_int(X2,X1),
i_0_65 ).
cnf(c_0_931,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_1 ).
cnf(c_0_932,plain,
zero_zero_int = pls,
i_0_123 ).
cnf(c_0_933,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_929,c_0_930]),c_0_930]),c_0_930]),c_0_930]) ).
cnf(c_0_934,plain,
plus_plus_int(plus_plus_int(X1,X2),X3) = plus_plus_int(X1,plus_plus_int(X2,X3)),
i_0_63 ).
cnf(c_0_935,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_931,c_0_932]) ).
cnf(c_0_936,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_933,c_0_934]),c_0_934]) ).
cnf(c_0_937,plain,
plus_plus_int(X1,plus_plus_int(X2,X3)) = plus_plus_int(X2,plus_plus_int(X1,X3)),
i_0_64 ).
cnf(c_0_938,plain,
times_times_int(X1,X1) = power_power_int(X1,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)))),
i_0_495 ).
cnf(c_0_939,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_935,c_0_929]) ).
cnf(c_0_940,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_443 ).
cnf(c_0_941,plain,
times_times_int(X1,X2) = times_times_int(X2,X1),
i_0_381 ).
cnf(c_0_942,plain,
number_number_of_nat(plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,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)],[c_0_936,c_0_937]),c_0_937]) ).
cnf(c_0_943,plain,
times_times_int(X1,X1) = power_power_int(X1,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)],[c_0_938,c_0_930]),c_0_930]),c_0_930]),c_0_930]),c_0_933]) ).
cnf(c_0_944,plain,
times_times_int(X1,zero_zero_int) = zero_zero_int,
i_0_384 ).
cnf(c_0_945,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_939,c_0_930]) ).
cnf(c_0_946,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_172 ).
cnf(c_0_947,plain,
times_times_int(t,plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,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,times_times_int(s,s)),
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_940,c_0_930]),c_0_930]),c_0_930]),c_0_930]),c_0_934]),c_0_934]),c_0_937]),c_0_937]),c_0_930]),c_0_930]),c_0_930]),c_0_930]),c_0_934]),c_0_934]),c_0_937]),c_0_937]),c_0_934]),c_0_934]),c_0_934]),c_0_934]),c_0_934]),c_0_937]),c_0_937]),c_0_937]),c_0_937]),c_0_937]),c_0_937]),c_0_937]),c_0_937]),c_0_941]),c_0_930]),c_0_941]),c_0_930]),c_0_930]),c_0_930]),c_0_930]),c_0_934]),c_0_934]),c_0_937]),c_0_937]),c_0_942]),c_0_943]),c_0_930]) ).
cnf(c_0_948,plain,
times_times_int(X1,pls) = pls,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_944,c_0_932]),c_0_932]) ).
cnf(c_0_949,negated_conjecture,
~ ord_less_int(plus_plus_int(one_one_int,times_times_int(s,s)),pls),
inference(rw,[status(thm)],[c_0_945,c_0_943]) ).
cnf(c_0_950,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)],[c_0_946,c_0_930]),c_0_930]),c_0_930]),c_0_930]),c_0_934]),c_0_934]),c_0_937]),c_0_937]),c_0_930]),c_0_930]),c_0_930]),c_0_930]),c_0_934]),c_0_934]),c_0_937]),c_0_937]),c_0_934]),c_0_934]),c_0_934]),c_0_934]),c_0_934]),c_0_937]),c_0_937]),c_0_937]),c_0_937]),c_0_937]),c_0_937]),c_0_937]),c_0_937]),c_0_941]),c_0_930]),c_0_941]),c_0_947]),c_0_930]),c_0_930]),c_0_930]),c_0_930]),c_0_934]),c_0_934]),c_0_937]),c_0_937]),c_0_930]),c_0_930]),c_0_930]),c_0_930]),c_0_934]),c_0_934]),c_0_937]),c_0_937]),c_0_934]),c_0_934]),c_0_934]),c_0_934]),c_0_934]),c_0_937]),c_0_937]),c_0_937]),c_0_937]),c_0_937]),c_0_937]),c_0_937]),c_0_937]),c_0_941]),c_0_930]),c_0_932]),c_0_948]),c_0_949]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM924+2 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jul 7 21:38:56 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected SinE mode:
% 0.20/0.50 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.50 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.50 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.79/2.72 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.79/2.72 # No SInE strategy applied
% 8.79/2.72 # Trying AutoSched0 for 150 seconds
% 8.79/2.72 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S04BN
% 8.79/2.72 # and selection function PSelectComplexExceptUniqMaxHorn.
% 8.79/2.72 #
% 8.79/2.72 # Preprocessing time : 0.027 s
% 8.79/2.72 # Presaturation interreduction done
% 8.79/2.72
% 8.79/2.72 # Proof found!
% 8.79/2.72 # SZS status Theorem
% 8.79/2.72 # SZS output start CNFRefutation
% See solution above
% 8.79/2.72 # Training examples: 0 positive, 0 negative
% 8.79/2.72
% 8.79/2.72 # -------------------------------------------------
% 8.79/2.72 # User time : 0.041 s
% 8.79/2.72 # System time : 0.007 s
% 8.79/2.72 # Total time : 0.048 s
% 8.79/2.72 # Maximum resident set size: 7128 pages
% 8.79/2.72
% 8.79/2.73 eprover: Cannot stat file /export/starexec/sandbox/tmp/enigma-theBenchmark.p-if_3c1ug/input.p
% 8.79/2.73 eprover: No such file or directory
%------------------------------------------------------------------------------