TSTP Solution File: NUM924+7 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM924+7 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n017.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 8.58s 2.91s
% Output : CNFRefutation 8.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 16
% Syntax : Number of clauses : 41 ( 41 unt; 0 nHn; 23 RR)
% Number of literals : 41 ( 32 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 15 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 7 con; 0-4 aty)
% Number of variables : 34 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_174,plain,
number_number_of(int,bit1(pls)) = one_one(int),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ze0zd7jm/lgb.p',i_0_174) ).
cnf(i_0_348,plain,
number_number_of(int,X1) = ti(int,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ze0zd7jm/lgb.p',i_0_348) ).
cnf(i_0_156,negated_conjecture,
~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),one_one(int))),zero_zero(int))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ze0zd7jm/lgb.p',i_0_156) ).
cnf(i_0_949,plain,
number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))) = hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ze0zd7jm/lgb.p',i_0_949) ).
cnf(i_0_192,plain,
zero_zero(int) = pls,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ze0zd7jm/lgb.p',i_0_192) ).
cnf(i_0_1639,hypothesis,
ti(int,bit1(X1)) = bit1(X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ze0zd7jm/lgb.p',i_0_1639) ).
cnf(i_0_1213,plain,
hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int))),t) = twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ze0zd7jm/lgb.p',i_0_1213) ).
cnf(i_0_1532,plain,
hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,X1),X2)),X3) = hAPP(int,int,plus_plus(int,X1),hAPP(int,int,plus_plus(int,X2),X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ze0zd7jm/lgb.p',i_0_1532) ).
cnf(i_0_249,plain,
hAPP(int,int,plus_plus(int,bit1(X1)),hAPP(int,int,plus_plus(int,X2),X2)) = bit1(hAPP(int,int,plus_plus(int,X1),X2)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ze0zd7jm/lgb.p',i_0_249) ).
cnf(i_0_205,plain,
hAPP(int,int,plus_plus(int,pls),X1) = ti(int,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ze0zd7jm/lgb.p',i_0_205) ).
cnf(i_0_1626,plain,
ti(X1,hAPP(X2,X1,X3,X4)) = hAPP(X2,X1,X3,X4),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ze0zd7jm/lgb.p',i_0_1626) ).
cnf(i_0_362,plain,
hAPP(int,int,times_times(int,X1),X2) = hAPP(int,int,times_times(int,X2),X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ze0zd7jm/lgb.p',i_0_362) ).
cnf(i_0_1560,plain,
hAPP(int,int,plus_plus(int,X1),X2) = hAPP(int,int,plus_plus(int,X2),X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ze0zd7jm/lgb.p',i_0_1560) ).
cnf(i_0_607,plain,
hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int))),t) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),one_one(int)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ze0zd7jm/lgb.p',i_0_607) ).
cnf(i_0_320,plain,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int))),zero_zero(int)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ze0zd7jm/lgb.p',i_0_320) ).
cnf(i_0_965,plain,
hAPP(int,int,times_times(int,pls),X1) = pls,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ze0zd7jm/lgb.p',i_0_965) ).
cnf(c_0_1656,plain,
number_number_of(int,bit1(pls)) = one_one(int),
i_0_174 ).
cnf(c_0_1657,plain,
number_number_of(int,X1) = ti(int,X1),
i_0_348 ).
cnf(c_0_1658,negated_conjecture,
~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),one_one(int))),zero_zero(int))),
i_0_156 ).
cnf(c_0_1659,plain,
number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))) = hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)),
i_0_949 ).
cnf(c_0_1660,plain,
zero_zero(int) = pls,
i_0_192 ).
cnf(c_0_1661,plain,
ti(int,bit1(pls)) = one_one(int),
inference(rw,[status(thm)],[c_0_1656,c_0_1657]) ).
cnf(c_0_1662,hypothesis,
ti(int,bit1(X1)) = bit1(X1),
i_0_1639 ).
cnf(c_0_1663,negated_conjecture,
~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),one_one(int))),pls)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1658,c_0_1659]),c_0_1660]) ).
cnf(c_0_1664,plain,
one_one(int) = bit1(pls),
inference(rw,[status(thm)],[c_0_1661,c_0_1662]) ).
cnf(c_0_1665,plain,
hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int))),t) = twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))),
i_0_1213 ).
cnf(c_0_1666,plain,
hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,X1),X2)),X3) = hAPP(int,int,plus_plus(int,X1),hAPP(int,int,plus_plus(int,X2),X3)),
i_0_1532 ).
cnf(c_0_1667,plain,
hAPP(int,int,plus_plus(int,bit1(X1)),hAPP(int,int,plus_plus(int,X2),X2)) = bit1(hAPP(int,int,plus_plus(int,X1),X2)),
i_0_249 ).
cnf(c_0_1668,plain,
hAPP(int,int,plus_plus(int,pls),X1) = ti(int,X1),
i_0_205 ).
cnf(c_0_1669,plain,
ti(X1,hAPP(X2,X1,X3,X4)) = hAPP(X2,X1,X3,X4),
i_0_1626 ).
cnf(c_0_1670,plain,
hAPP(int,int,times_times(int,X1),X2) = hAPP(int,int,times_times(int,X2),X1),
i_0_362 ).
cnf(c_0_1671,plain,
hAPP(int,int,plus_plus(int,X1),X2) = hAPP(int,int,plus_plus(int,X2),X1),
i_0_1560 ).
cnf(c_0_1672,negated_conjecture,
~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),bit1(pls))),pls)),
inference(rw,[status(thm)],[c_0_1663,c_0_1664]) ).
cnf(c_0_1673,plain,
hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int))),t) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),one_one(int)),
i_0_607 ).
cnf(c_0_1674,plain,
hAPP(int,int,times_times(int,t),hAPP(int,int,plus_plus(int,bit1(pls)),hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(bit1(pls)))))) = twoSqu1929807760sum2sq(product_Pair(int,int,s,bit1(pls))),
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_1665,c_0_1666]),c_0_1667]),c_0_1668]),c_0_1662]),c_0_1657]),c_0_1669]),c_0_1670]),c_0_1664]),c_0_1671]),c_0_1670]),c_0_1664]) ).
cnf(c_0_1675,negated_conjecture,
~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,bit1(pls)),hAPP(nat,int,power_power(int,s),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat))))),pls)),
inference(rw,[status(thm)],[c_0_1672,c_0_1671]) ).
cnf(c_0_1676,plain,
hAPP(int,int,plus_plus(int,bit1(pls)),hAPP(nat,int,power_power(int,s),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))) = twoSqu1929807760sum2sq(product_Pair(int,int,s,bit1(pls))),
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_1673,c_0_1666]),c_0_1667]),c_0_1668]),c_0_1662]),c_0_1657]),c_0_1669]),c_0_1670]),c_0_1664]),c_0_1671]),c_0_1670]),c_0_1674]),c_0_1659]),c_0_1664]),c_0_1671]) ).
cnf(c_0_1677,plain,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int))),zero_zero(int)))),
i_0_320 ).
cnf(c_0_1678,plain,
hAPP(int,int,times_times(int,pls),X1) = pls,
i_0_965 ).
cnf(c_0_1679,negated_conjecture,
~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),twoSqu1929807760sum2sq(product_Pair(int,int,s,bit1(pls)))),pls)),
inference(rw,[status(thm)],[c_0_1675,c_0_1676]) ).
cnf(c_0_1680,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)],[c_0_1677,c_0_1666]),c_0_1667]),c_0_1668]),c_0_1662]),c_0_1657]),c_0_1669]),c_0_1670]),c_0_1664]),c_0_1671]),c_0_1670]),c_0_1674]),c_0_1666]),c_0_1667]),c_0_1668]),c_0_1662]),c_0_1657]),c_0_1669]),c_0_1670]),c_0_1664]),c_0_1671]),c_0_1660]),c_0_1670]),c_0_1678]),c_0_1679]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : NUM924+7 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n017.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 : Tue Jul 5 14:44:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.36/0.54 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.54 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.36/0.54 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.36/0.54 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.58/2.91 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.58/2.91 # No SInE strategy applied
% 8.58/2.91 # Trying AutoSched0 for 150 seconds
% 8.58/2.91 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.58/2.91 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.58/2.91 #
% 8.58/2.91 # Preprocessing time : 0.026 s
% 8.58/2.91 # Presaturation interreduction done
% 8.58/2.91
% 8.58/2.91 # Proof found!
% 8.58/2.91 # SZS status Theorem
% 8.58/2.91 # SZS output start CNFRefutation
% See solution above
% 8.58/2.91 # Training examples: 0 positive, 0 negative
% 8.58/2.91
% 8.58/2.91 # -------------------------------------------------
% 8.58/2.91 # User time : 0.032 s
% 8.58/2.91 # System time : 0.010 s
% 8.58/2.91 # Total time : 0.041 s
% 8.58/2.91 # Maximum resident set size: 7368 pages
% 8.58/2.91
%------------------------------------------------------------------------------