TSTP Solution File: NUM925+7 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM925+7 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n008.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 08:41:15 EDT 2022
% Result : Theorem 9.42s 2.91s
% Output : CNFRefutation 9.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 26
% Syntax : Number of clauses : 79 ( 73 unt; 0 nHn; 40 RR)
% Number of literals : 89 ( 72 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-4 aty)
% Number of variables : 61 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_596,plain,
number_number_of(int,minus_minus(int,plus_plus(int,pls,pls),min)) = one_one(int),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bug4hqge/lgb.p',i_0_596) ).
cnf(i_0_1171,plain,
plus_plus(int,pls,pls) = pls,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bug4hqge/lgb.p',i_0_1171) ).
cnf(i_0_186,plain,
number_number_of(int,X1) = ti(int,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bug4hqge/lgb.p',i_0_186) ).
cnf(i_0_1215,plain,
plus_plus(int,X1,pls) = ti(int,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bug4hqge/lgb.p',i_0_1215) ).
cnf(i_0_949,plain,
minus_minus(int,X1,pls) = ti(int,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bug4hqge/lgb.p',i_0_949) ).
cnf(i_0_1227,plain,
plus_plus(int,pls,X1) = ti(int,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bug4hqge/lgb.p',i_0_1227) ).
cnf(i_0_844,plain,
plus_plus(int,X1,one_one(int)) = minus_minus(int,X1,min),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bug4hqge/lgb.p',i_0_844) ).
cnf(i_0_1703,plain,
ti(int,minus_minus(int,X1,min)) = minus_minus(int,X1,min),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bug4hqge/lgb.p',i_0_1703) ).
cnf(i_0_1697,plain,
nat_1(ti(int,X1)) = nat_1(X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bug4hqge/lgb.p',i_0_1697) ).
cnf(i_0_155,negated_conjecture,
hAPP(nat,int,power_power(int,plus_plus(int,one_one(int),hAPP(nat,int,semiring_1_of_nat(int),n))),number_number_of(nat,plus_plus(int,minus_minus(int,plus_plus(int,pls,pls),min),minus_minus(int,plus_plus(int,pls,pls),min)))) = zero_zero(int),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bug4hqge/lgb.p',i_0_155) ).
cnf(i_0_1182,plain,
zero_zero(int) = pls,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bug4hqge/lgb.p',i_0_1182) ).
cnf(i_0_687,plain,
nat_1(number_number_of(int,X1)) = number_number_of(nat,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bug4hqge/lgb.p',i_0_687) ).
cnf(i_0_268,plain,
( ti(X1,X2) = zero_zero(X1)
| hAPP(nat,X1,power_power(X1,X2),X3) != zero_zero(X1)
| ~ ring_11004092258visors(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bug4hqge/lgb.p',i_0_268) ).
cnf(i_0_52,plain,
ring_11004092258visors(int),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bug4hqge/lgb.p',i_0_52) ).
cnf(i_0_767,plain,
plus_plus(int,X1,X2) = plus_plus(int,X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bug4hqge/lgb.p',i_0_767) ).
cnf(i_0_1696,plain,
ti(int,min) = min,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bug4hqge/lgb.p',i_0_1696) ).
cnf(i_0_372,plain,
( plus_plus(nat,one_one(nat),number_number_of(nat,X1)) = one_one(nat)
| ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bug4hqge/lgb.p',i_0_372) ).
cnf(i_0_1204,plain,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),min),pls)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bug4hqge/lgb.p',i_0_1204) ).
cnf(i_0_190,plain,
plus_plus(nat,X1,X2) = plus_plus(nat,X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bug4hqge/lgb.p',i_0_190) ).
cnf(i_0_514,plain,
( ti(X1,X2) = ti(X1,X3)
| minus_minus(X1,X2,X3) != zero_zero(X1)
| ~ ab_group_add(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bug4hqge/lgb.p',i_0_514) ).
cnf(i_0_2,plain,
ab_group_add(int),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bug4hqge/lgb.p',i_0_2) ).
cnf(i_0_574,plain,
minus_minus(nat,plus_plus(nat,X1,X2),X2) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bug4hqge/lgb.p',i_0_574) ).
cnf(i_0_534,plain,
minus_minus(nat,X1,X1) = zero_zero(nat),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bug4hqge/lgb.p',i_0_534) ).
cnf(i_0_550,plain,
nat_1(hAPP(nat,int,semiring_1_of_nat(int),X1)) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bug4hqge/lgb.p',i_0_550) ).
cnf(i_0_240,plain,
hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),n)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bug4hqge/lgb.p',i_0_240) ).
cnf(i_0_200,plain,
~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bug4hqge/lgb.p',i_0_200) ).
cnf(c_0_1730,plain,
number_number_of(int,minus_minus(int,plus_plus(int,pls,pls),min)) = one_one(int),
i_0_596 ).
cnf(c_0_1731,plain,
plus_plus(int,pls,pls) = pls,
i_0_1171 ).
cnf(c_0_1732,plain,
number_number_of(int,minus_minus(int,pls,min)) = one_one(int),
inference(rw,[status(thm)],[c_0_1730,c_0_1731]) ).
cnf(c_0_1733,plain,
number_number_of(int,X1) = ti(int,X1),
i_0_186 ).
cnf(c_0_1734,plain,
plus_plus(int,X1,pls) = ti(int,X1),
i_0_1215 ).
cnf(c_0_1735,plain,
minus_minus(int,X1,pls) = ti(int,X1),
i_0_949 ).
cnf(c_0_1736,plain,
ti(int,minus_minus(int,pls,min)) = one_one(int),
inference(rw,[status(thm)],[c_0_1732,c_0_1733]) ).
cnf(c_0_1737,plain,
plus_plus(int,pls,X1) = ti(int,X1),
i_0_1227 ).
cnf(c_0_1738,plain,
minus_minus(int,X1,pls) = plus_plus(int,X1,pls),
inference(rw,[status(thm)],[c_0_1734,c_0_1735]) ).
cnf(c_0_1739,plain,
minus_minus(int,minus_minus(int,pls,min),pls) = one_one(int),
inference(rw,[status(thm)],[c_0_1736,c_0_1735]) ).
cnf(c_0_1740,plain,
plus_plus(int,X1,pls) = plus_plus(int,pls,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1737,c_0_1735]),c_0_1738]) ).
cnf(c_0_1741,plain,
plus_plus(int,X1,one_one(int)) = minus_minus(int,X1,min),
i_0_844 ).
cnf(c_0_1742,plain,
one_one(int) = plus_plus(int,pls,minus_minus(int,pls,min)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1739,c_0_1738]),c_0_1740]) ).
cnf(c_0_1743,plain,
ti(int,minus_minus(int,X1,min)) = minus_minus(int,X1,min),
i_0_1703 ).
cnf(c_0_1744,plain,
ti(int,X1) = plus_plus(int,X1,pls),
inference(rw,[status(thm)],[c_0_1735,c_0_1738]) ).
cnf(c_0_1745,plain,
plus_plus(int,X1,plus_plus(int,pls,minus_minus(int,pls,min))) = minus_minus(int,X1,min),
inference(rw,[status(thm)],[c_0_1741,c_0_1742]) ).
cnf(c_0_1746,plain,
plus_plus(int,pls,minus_minus(int,X1,min)) = minus_minus(int,X1,min),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1743,c_0_1744]),c_0_1740]) ).
cnf(c_0_1747,plain,
nat_1(ti(int,X1)) = nat_1(X1),
i_0_1697 ).
cnf(c_0_1748,negated_conjecture,
hAPP(nat,int,power_power(int,plus_plus(int,one_one(int),hAPP(nat,int,semiring_1_of_nat(int),n))),number_number_of(nat,plus_plus(int,minus_minus(int,plus_plus(int,pls,pls),min),minus_minus(int,plus_plus(int,pls,pls),min)))) = zero_zero(int),
i_0_155 ).
cnf(c_0_1749,plain,
plus_plus(int,X1,minus_minus(int,pls,min)) = minus_minus(int,X1,min),
inference(rw,[status(thm)],[c_0_1745,c_0_1746]) ).
cnf(c_0_1750,plain,
zero_zero(int) = pls,
i_0_1182 ).
cnf(c_0_1751,plain,
nat_1(number_number_of(int,X1)) = number_number_of(nat,X1),
i_0_687 ).
cnf(c_0_1752,plain,
number_number_of(int,X1) = plus_plus(int,X1,pls),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1733,c_0_1735]),c_0_1738]) ).
cnf(c_0_1753,plain,
nat_1(plus_plus(int,X1,pls)) = nat_1(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1747,c_0_1735]),c_0_1738]) ).
cnf(c_0_1754,plain,
( ti(X1,X2) = zero_zero(X1)
| hAPP(nat,X1,power_power(X1,X2),X3) != zero_zero(X1)
| ~ ring_11004092258visors(X1) ),
i_0_268 ).
cnf(c_0_1755,negated_conjecture,
hAPP(nat,int,power_power(int,plus_plus(int,minus_minus(int,pls,min),hAPP(nat,int,semiring_1_of_nat(int),n))),number_number_of(nat,minus_minus(int,minus_minus(int,pls,min),min))) = 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)],[c_0_1748,c_0_1742]),c_0_1746]),c_0_1731]),c_0_1731]),c_0_1749]),c_0_1750]) ).
cnf(c_0_1756,plain,
ring_11004092258visors(int),
i_0_52 ).
cnf(c_0_1757,plain,
plus_plus(int,X1,X2) = plus_plus(int,X2,X1),
i_0_767 ).
cnf(c_0_1758,plain,
ti(int,min) = min,
i_0_1696 ).
cnf(c_0_1759,plain,
nat_1(X1) = number_number_of(nat,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1751,c_0_1752]),c_0_1753]) ).
cnf(c_0_1760,plain,
plus_plus(int,pls,plus_plus(int,minus_minus(int,pls,min),hAPP(nat,int,semiring_1_of_nat(int),n))) = pls,
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1754,c_0_1755]),c_0_1744]),c_0_1750]),c_0_1750]),c_0_1756])]),c_0_1757]) ).
cnf(c_0_1761,plain,
plus_plus(int,minus_minus(int,pls,min),X1) = minus_minus(int,X1,min),
inference(spm,[status(thm)],[c_0_1757,c_0_1749]) ).
cnf(c_0_1762,plain,
minus_minus(int,min,pls) = min,
inference(rw,[status(thm)],[c_0_1758,c_0_1735]) ).
cnf(c_0_1763,plain,
( plus_plus(nat,one_one(nat),number_number_of(nat,X1)) = one_one(nat)
| ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls)) ),
i_0_372 ).
cnf(c_0_1764,plain,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),min),pls)),
i_0_1204 ).
cnf(c_0_1765,plain,
plus_plus(nat,X1,X2) = plus_plus(nat,X2,X1),
i_0_190 ).
cnf(c_0_1766,plain,
number_number_of(nat,plus_plus(int,X1,pls)) = number_number_of(nat,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1753,c_0_1759]),c_0_1759]) ).
cnf(c_0_1767,plain,
( ti(X1,X2) = ti(X1,X3)
| minus_minus(X1,X2,X3) != zero_zero(X1)
| ~ ab_group_add(X1) ),
i_0_514 ).
cnf(c_0_1768,plain,
minus_minus(int,hAPP(nat,int,semiring_1_of_nat(int),n),min) = pls,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1760,c_0_1761]),c_0_1746]) ).
cnf(c_0_1769,plain,
plus_plus(int,pls,min) = min,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1762,c_0_1738]),c_0_1740]) ).
cnf(c_0_1770,plain,
ab_group_add(int),
i_0_2 ).
cnf(c_0_1771,plain,
minus_minus(nat,plus_plus(nat,X1,X2),X2) = X1,
i_0_574 ).
cnf(c_0_1772,plain,
plus_plus(nat,number_number_of(nat,min),one_one(nat)) = one_one(nat),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1763,c_0_1764]),c_0_1765]) ).
cnf(c_0_1773,plain,
minus_minus(nat,X1,X1) = zero_zero(nat),
i_0_534 ).
cnf(c_0_1774,plain,
nat_1(hAPP(nat,int,semiring_1_of_nat(int),X1)) = X1,
i_0_550 ).
cnf(c_0_1775,plain,
number_number_of(nat,plus_plus(int,pls,X1)) = number_number_of(nat,X1),
inference(spm,[status(thm)],[c_0_1766,c_0_1757]) ).
cnf(c_0_1776,plain,
plus_plus(int,pls,hAPP(nat,int,semiring_1_of_nat(int),n)) = min,
inference(rw,[status(thm)],[inference(cn,[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(spm,[status(thm)],[c_0_1767,c_0_1768]),c_0_1744]),c_0_1735]),c_0_1738]),c_0_1740]),c_0_1769]),c_0_1750]),c_0_1770])]),c_0_1757]) ).
cnf(c_0_1777,plain,
number_number_of(nat,min) = zero_zero(nat),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1771,c_0_1772]),c_0_1773]) ).
cnf(c_0_1778,plain,
number_number_of(nat,hAPP(nat,int,semiring_1_of_nat(int),X1)) = X1,
inference(rw,[status(thm)],[c_0_1774,c_0_1759]) ).
cnf(c_0_1779,plain,
hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),n)),
i_0_240 ).
cnf(c_0_1780,plain,
zero_zero(nat) = n,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1775,c_0_1776]),c_0_1777]),c_0_1778]) ).
cnf(c_0_1781,plain,
~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X1)),
i_0_200 ).
cnf(c_0_1782,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1779,c_0_1780]),c_0_1781]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM925+7 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n008.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 04:56:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.43 # ENIGMATIC: Selected SinE mode:
% 0.18/0.51 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.51 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.51 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.42/2.91 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.42/2.91 # No SInE strategy applied
% 9.42/2.91 # Trying AutoSched0 for 150 seconds
% 9.42/2.91 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_TT_S0Y
% 9.42/2.91 # and selection function SelectMaxLComplexAvoidPosPred.
% 9.42/2.91 #
% 9.42/2.91 # Preprocessing time : 0.016 s
% 9.42/2.91 # Presaturation interreduction done
% 9.42/2.91
% 9.42/2.91 # Proof found!
% 9.42/2.91 # SZS status Theorem
% 9.42/2.91 # SZS output start CNFRefutation
% See solution above
% 9.42/2.91 # Training examples: 0 positive, 0 negative
% 9.42/2.91
% 9.42/2.91 # -------------------------------------------------
% 9.42/2.91 # User time : 0.069 s
% 9.42/2.91 # System time : 0.004 s
% 9.42/2.91 # Total time : 0.073 s
% 9.42/2.91 # Maximum resident set size: 7336 pages
% 9.42/2.91
%------------------------------------------------------------------------------