TSTP Solution File: NUM925+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM925+4 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n006.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 08:41:13 EDT 2022
% Result : Theorem 10.15s 3.60s
% Output : CNFRefutation 10.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 34 ( 28 unt; 2 nHn; 25 RR)
% Number of literals : 46 ( 34 equ; 14 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 14 con; 0-2 aty)
% Number of variables : 22 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_3701,plain,
hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,pls)) = one_one_nat,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8m699x2j/lgb.p',i_0_3701) ).
cnf(i_0_440,plain,
zero_zero_int = pls,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8m699x2j/lgb.p',i_0_440) ).
cnf(i_0_2096,plain,
hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,pls)) = hAPP_nat_nat(suc,zero_zero_nat),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8m699x2j/lgb.p',i_0_2096) ).
cnf(i_0_1,negated_conjecture,
hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = zero_zero_int,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8m699x2j/lgb.p',i_0_1) ).
cnf(i_0_2116,plain,
hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) = hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8m699x2j/lgb.p',i_0_2116) ).
cnf(i_0_723,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X1),X1) = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8m699x2j/lgb.p',i_0_723) ).
cnf(i_0_3587,plain,
( X1 = zero_zero_nat
| hAPP_nat_int(semiri1621563631at_int,X1) != zero_zero_int ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8m699x2j/lgb.p',i_0_3587) ).
cnf(i_0_2082,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,X1)) = hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8m699x2j/lgb.p',i_0_2082) ).
cnf(i_0_1911,plain,
hAPP_nat_nat(suc,X1) != zero_zero_nat,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8m699x2j/lgb.p',i_0_1911) ).
cnf(i_0_121,plain,
( X1 = zero_zero_int
| X2 = zero_zero_int
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X2),X1) != zero_zero_int
| ~ is_int(X1)
| ~ is_int(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8m699x2j/lgb.p',i_0_121) ).
cnf(i_0_3825,hypothesis,
( is_int(hAPP_int_int(X1,X2))
| ~ is_int(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8m699x2j/lgb.p',i_0_3825) ).
cnf(i_0_3826,hypothesis,
is_int(hAPP_nat_int(X1,X2)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8m699x2j/lgb.p',i_0_3826) ).
cnf(c_0_3839,plain,
hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,pls)) = one_one_nat,
i_0_3701 ).
cnf(c_0_3840,plain,
zero_zero_int = pls,
i_0_440 ).
cnf(c_0_3841,plain,
hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,pls)) = hAPP_nat_nat(suc,zero_zero_nat),
i_0_2096 ).
cnf(c_0_3842,plain,
hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,zero_zero_int)) = one_one_nat,
inference(rw,[status(thm)],[c_0_3839,c_0_3840]) ).
cnf(c_0_3843,negated_conjecture,
hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = zero_zero_int,
i_0_1 ).
cnf(c_0_3844,plain,
hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) = hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)),
i_0_2116 ).
cnf(c_0_3845,plain,
hAPP_nat_nat(suc,zero_zero_nat) = one_one_nat,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3841,c_0_3840]),c_0_3842]) ).
cnf(c_0_3846,negated_conjecture,
hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int)))) = zero_zero_int,
inference(rw,[status(thm)],[c_0_3843,c_0_3840]) ).
cnf(c_0_3847,plain,
hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))) = hAPP_nat_nat(suc,one_one_nat),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3844,c_0_3840]),c_0_3845]) ).
cnf(c_0_3848,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X1),X1) = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),
i_0_723 ).
cnf(c_0_3849,negated_conjecture,
hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_nat_nat(suc,one_one_nat)) = zero_zero_int,
inference(rw,[status(thm)],[c_0_3846,c_0_3847]) ).
cnf(c_0_3850,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X1),X1) = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X1),hAPP_nat_nat(suc,one_one_nat)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3848,c_0_3840]),c_0_3847]) ).
cnf(c_0_3851,plain,
( X1 = zero_zero_nat
| hAPP_nat_int(semiri1621563631at_int,X1) != zero_zero_int ),
i_0_3587 ).
cnf(c_0_3852,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,X1)) = hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,X1)),
i_0_2082 ).
cnf(c_0_3853,plain,
hAPP_nat_nat(suc,X1) != zero_zero_nat,
i_0_1911 ).
cnf(c_0_3854,plain,
( X1 = zero_zero_int
| X2 = zero_zero_int
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X2),X1) != zero_zero_int
| ~ is_int(X1)
| ~ is_int(X2) ),
i_0_121 ).
cnf(c_0_3855,negated_conjecture,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))) = zero_zero_int,
inference(rw,[status(thm)],[c_0_3849,c_0_3850]) ).
cnf(c_0_3856,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,X1)) != zero_zero_int,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3851,c_0_3852]),c_0_3853]) ).
cnf(c_0_3857,negated_conjecture,
~ is_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3854,c_0_3855]),c_0_3856]) ).
cnf(c_0_3858,hypothesis,
( is_int(hAPP_int_int(X1,X2))
| ~ is_int(X2) ),
i_0_3825 ).
cnf(c_0_3859,hypothesis,
is_int(hAPP_nat_int(X1,X2)),
i_0_3826 ).
cnf(c_0_3860,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3857,c_0_3858]),c_0_3859])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM925+4 : TPTP v8.1.0. Released v5.3.0.
% 0.12/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n006.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 : Thu Jul 7 13:14:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 # ENIGMATIC: Selected SinE mode:
% 0.47/0.70 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.70 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.47/0.70 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.47/0.70 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 10.15/3.60 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.15/3.60 # No SInE strategy applied
% 10.15/3.60 # Trying AutoSched0 for 150 seconds
% 10.15/3.60 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 10.15/3.60 # and selection function SelectComplexExceptUniqMaxHorn.
% 10.15/3.60 #
% 10.15/3.60 # Preprocessing time : 0.032 s
% 10.15/3.60 # Presaturation interreduction done
% 10.15/3.60
% 10.15/3.60 # Proof found!
% 10.15/3.60 # SZS status Theorem
% 10.15/3.60 # SZS output start CNFRefutation
% See solution above
% 10.15/3.60 # Training examples: 0 positive, 0 negative
% 10.15/3.60
% 10.15/3.60 # -------------------------------------------------
% 10.15/3.60 # User time : 0.070 s
% 10.15/3.60 # System time : 0.009 s
% 10.15/3.60 # Total time : 0.079 s
% 10.15/3.60 # Maximum resident set size: 9488 pages
% 10.15/3.60
%------------------------------------------------------------------------------