TSTP Solution File: NUM924+8 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM924+8 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n007.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 08:41:10 EDT 2022
% Result : Theorem 30.55s 6.67s
% Output : CNFRefutation 30.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of clauses : 35 ( 35 unt; 0 nHn; 24 RR)
% Number of literals : 35 ( 29 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 12 con; 0-4 aty)
% Number of variables : 15 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_152,plain,
hAPP(int,nat,nat_1,hAPP(int,int,number_number_of(int),X1)) = hAPP(int,nat,number_number_of(nat),X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-abob4vhe/input.p',i_0_152) ).
cnf(i_0_1277,plain,
hAPP(int,int,number_number_of(int),X1) = ti(int,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-abob4vhe/input.p',i_0_1277) ).
cnf(i_0_3248,plain,
hAPP(int,nat,number_number_of(nat),pls) = zero_zero(nat),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-abob4vhe/input.p',i_0_3248) ).
cnf(i_0_3740,hypothesis,
ti(int,pls) = pls,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-abob4vhe/input.p',i_0_3740) ).
cnf(i_0_549,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/sandbox2/tmp/enigma-theBenchmark.p-abob4vhe/input.p',i_0_549) ).
cnf(i_0_2719,plain,
hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),hAPP(int,int,number_number_of(int),min_1)) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),one_one(int)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-abob4vhe/input.p',i_0_2719) ).
cnf(i_0_3737,plain,
ti(int,min_1) = min_1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-abob4vhe/input.p',i_0_3737) ).
cnf(i_0_3692,plain,
hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X2) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-abob4vhe/input.p',i_0_3692) ).
cnf(i_0_2175,plain,
hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m)),one_one(int))),t) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),one_one(int)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-abob4vhe/input.p',i_0_2175) ).
cnf(i_0_1358,plain,
hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2) = hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X2),X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-abob4vhe/input.p',i_0_1358) ).
cnf(i_0_5,negated_conjecture,
~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),one_one(int))),zero_zero(int))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-abob4vhe/input.p',i_0_5) ).
cnf(i_0_293,plain,
zero_zero(int) = pls,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-abob4vhe/input.p',i_0_293) ).
cnf(i_0_1079,plain,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m)),one_one(int))),t)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m)),one_one(int))),zero_zero(int)))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-abob4vhe/input.p',i_0_1079) ).
cnf(i_0_3326,plain,
hAPP(int,int,hAPP(int,fun(int,int),times_times(int),pls),X1) = pls,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-abob4vhe/input.p',i_0_3326) ).
cnf(c_0_3755,plain,
hAPP(int,nat,nat_1,hAPP(int,int,number_number_of(int),X1)) = hAPP(int,nat,number_number_of(nat),X1),
i_0_152 ).
cnf(c_0_3756,plain,
hAPP(int,int,number_number_of(int),X1) = ti(int,X1),
i_0_1277 ).
cnf(c_0_3757,plain,
hAPP(int,nat,number_number_of(nat),pls) = zero_zero(nat),
i_0_3248 ).
cnf(c_0_3758,plain,
hAPP(int,nat,number_number_of(nat),X1) = hAPP(int,nat,nat_1,ti(int,X1)),
inference(rw,[status(thm)],[c_0_3755,c_0_3756]) ).
cnf(c_0_3759,hypothesis,
ti(int,pls) = pls,
i_0_3740 ).
cnf(c_0_3760,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_549 ).
cnf(c_0_3761,plain,
zero_zero(nat) = hAPP(int,nat,nat_1,pls),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3757,c_0_3758]),c_0_3759]) ).
cnf(c_0_3762,plain,
hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),hAPP(int,int,number_number_of(int),min_1)) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),one_one(int)),
i_0_2719 ).
cnf(c_0_3763,plain,
hAPP(int,nat,nat_1,ti(int,hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))) = hAPP(nat,nat,suc,hAPP(nat,nat,suc,hAPP(int,nat,nat_1,pls))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3760,c_0_3758]),c_0_3761]) ).
cnf(c_0_3764,plain,
ti(int,min_1) = min_1,
i_0_3737 ).
cnf(c_0_3765,plain,
hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X2) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),X1),
i_0_3692 ).
cnf(c_0_3766,plain,
hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m)),one_one(int))),t) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),one_one(int)),
i_0_2175 ).
cnf(c_0_3767,plain,
hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2) = hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X2),X1),
i_0_1358 ).
cnf(c_0_3768,plain,
hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(nat,nat,suc,hAPP(nat,nat,suc,hAPP(int,nat,nat_1,pls))))) = hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(nat,nat,suc,hAPP(nat,nat,suc,hAPP(int,nat,nat_1,pls))))),min_1),
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_3762,c_0_3758]),c_0_3763]),c_0_3756]),c_0_3764]),c_0_3758]),c_0_3763]),c_0_3765]) ).
cnf(c_0_3769,negated_conjecture,
~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),one_one(int))),zero_zero(int))),
i_0_5 ).
cnf(c_0_3770,plain,
zero_zero(int) = pls,
i_0_293 ).
cnf(c_0_3771,plain,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m)),one_one(int))),t)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m)),one_one(int))),zero_zero(int)))),
i_0_1079 ).
cnf(c_0_3772,plain,
hAPP(int,int,hAPP(int,fun(int,int),times_times(int),t),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),m),ti(int,hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))))) = hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(nat,nat,suc,hAPP(nat,nat,suc,hAPP(int,nat,nat_1,pls))))),min_1),
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_3766,c_0_3756]),c_0_3767]),c_0_3765]),c_0_3767]),c_0_3758]),c_0_3763]),c_0_3765]),c_0_3768]) ).
cnf(c_0_3773,plain,
hAPP(int,int,hAPP(int,fun(int,int),times_times(int),pls),X1) = pls,
i_0_3326 ).
cnf(c_0_3774,negated_conjecture,
~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),s),hAPP(nat,nat,suc,hAPP(nat,nat,suc,hAPP(int,nat,nat_1,pls))))),min_1)),pls)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3769,c_0_3758]),c_0_3763]),c_0_3765]),c_0_3768]),c_0_3770]) ).
cnf(c_0_3775,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)],[c_0_3771,c_0_3756]),c_0_3767]),c_0_3765]),c_0_3767]),c_0_3772]),c_0_3756]),c_0_3767]),c_0_3765]),c_0_3770]),c_0_3767]),c_0_3773]),c_0_3774]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM924+8 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 08:13:46 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.50 # ENIGMATIC: Selected SinE mode:
% 0.66/0.84 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.66/0.84 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.66/0.84 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.66/0.84 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 30.55/6.67 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 30.55/6.67 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 42; version: 991; iters: 150)
% 30.55/6.67 # Preprocessing time : 2.215 s
% 30.55/6.67 # Presaturation interreduction done
% 30.55/6.67
% 30.55/6.67 # Proof found!
% 30.55/6.67 # SZS status Theorem
% 30.55/6.67 # SZS output start CNFRefutation
% See solution above
% 30.55/6.67 # Training examples: 0 positive, 0 negative
% 30.55/6.67
% 30.55/6.67 # -------------------------------------------------
% 30.55/6.67 # User time : 2.107 s
% 30.55/6.67 # System time : 0.122 s
% 30.55/6.67 # Total time : 2.229 s
% 30.55/6.67 # ...preprocessing : 2.215 s
% 30.55/6.67 # ...main loop : 0.014 s
% 30.55/6.67 # Maximum resident set size: 177952 pages
% 30.55/6.67
%------------------------------------------------------------------------------