%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM925+2 : TPTP v8.1.0. Released v5.3.0.
% 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 : Mon Jul 18 08:41:12 EDT 2022
% Result : Theorem 6.84s 2.41s
% Output : CNFRefutation 6.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 13 unt; 0 nHn; 16 RR)
% Number of literals : 23 ( 16 equ; 8 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 13 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_282,plain,
( X1 = zero_zero_int
| hAPP_nat_int(power_power_int(X1),X2) != zero_zero_int ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-am2_l9w5/lgb.p',i_0_282) ).
cnf(i_0_9,plain,
zero_zero_int = pls,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-am2_l9w5/lgb.p',i_0_9) ).
cnf(i_0_1,negated_conjecture,
hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(pls),pls)),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(pls),pls)),one_one_int)))) = zero_zero_int,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-am2_l9w5/lgb.p',i_0_1) ).
cnf(i_0_4,plain,
hAPP_int_int(plus_plus_int(pls),X1) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-am2_l9w5/lgb.p',i_0_4) ).
cnf(i_0_2,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-am2_l9w5/lgb.p',i_0_2) ).
cnf(i_0_523,plain,
( X1 != X2
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-am2_l9w5/lgb.p',i_0_523) ).
cnf(c_0_530,plain,
( X1 = zero_zero_int
| hAPP_nat_int(power_power_int(X1),X2) != zero_zero_int ),
i_0_282 ).
cnf(c_0_531,plain,
zero_zero_int = pls,
i_0_9 ).
cnf(c_0_532,negated_conjecture,
hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(pls),pls)),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(pls),pls)),one_one_int)))) = zero_zero_int,
i_0_1 ).
cnf(c_0_533,plain,
hAPP_int_int(plus_plus_int(pls),X1) = X1,
i_0_4 ).
cnf(c_0_534,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))),
i_0_2 ).
cnf(c_0_535,plain,
( X1 = pls
| hAPP_nat_int(power_power_int(X1),X2) != pls ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_530,c_0_531]),c_0_531]) ).
cnf(c_0_536,negated_conjecture,
hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),one_one_int))) = pls,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_532,c_0_533]),c_0_533]),c_0_533]),c_0_533]),c_0_531]) ).
cnf(c_0_537,plain,
( X1 != X2
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)) ),
i_0_523 ).
cnf(c_0_538,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))),
inference(rw,[status(thm)],[c_0_534,c_0_531]) ).
cnf(c_0_539,negated_conjecture,
hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n)) = pls,
inference(spm,[status(thm)],[c_0_535,c_0_536]) ).
cnf(c_0_540,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X1)),
inference(er,[status(thm)],[c_0_537]) ).
cnf(c_0_541,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_538,c_0_539]),c_0_540]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM925+2 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n029.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 : Wed Jul 6 19:27:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected SinE mode:
% 0.18/0.49 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.49 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.49 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 6.84/2.41 # ENIGMATIC: Solved by autoschedule-lgb:
% 6.84/2.41 # No SInE strategy applied
% 6.84/2.41 # Trying AutoSched0 for 150 seconds
% 6.84/2.41 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S026I
% 6.84/2.41 # and selection function SelectOptimalRestrNDepth2.
% 6.84/2.41 #
% 6.84/2.41 # Preprocessing time : 0.023 s
% 6.84/2.41 # Presaturation interreduction done
% 6.84/2.41
% 6.84/2.41 # Proof found!
% 6.84/2.41 # SZS status Theorem
% 6.84/2.41 # SZS output start CNFRefutation
% See solution above
% 6.84/2.41 # Training examples: 0 positive, 0 negative
% 6.84/2.41
% 6.84/2.41 # -------------------------------------------------
% 6.84/2.41 # User time : 0.026 s
% 6.84/2.41 # System time : 0.007 s
% 6.84/2.41 # Total time : 0.033 s
% 6.84/2.41 # Maximum resident set size: 7184 pages
% 6.84/2.41
%------------------------------------------------------------------------------