TSTP Solution File: NUM924+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM924+1 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 : 300s
% DateTime : Sun May 5 08:43:13 EDT 2024
% Result : Theorem 0.18s 0.41s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 247
% Syntax : Number of formulae : 827 ( 220 unt; 0 def)
% Number of atoms : 1968 ( 403 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 1944 ( 803 ~; 804 |; 69 &)
% ( 231 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 172 ( 170 usr; 167 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 848 ( 848 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2030,plain,
$false,
inference(avatar_sat_refutation,[],[f510,f517,f522,f527,f532,f536,f540,f545,f550,f554,f561,f566,f571,f575,f580,f585,f590,f594,f598,f602,f608,f612,f616,f621,f626,f631,f636,f640,f646,f663,f668,f673,f678,f683,f689,f697,f703,f709,f715,f721,f727,f733,f739,f745,f749,f754,f758,f762,f767,f772,f777,f782,f786,f790,f794,f798,f803,f807,f811,f815,f819,f823,f827,f831,f835,f839,f856,f860,f864,f868,f915,f941,f947,f952,f958,f963,f968,f974,f980,f986,f992,f997,f1001,f1005,f1010,f1014,f1018,f1022,f1026,f1030,f1034,f1038,f1042,f1046,f1050,f1054,f1058,f1062,f1066,f1070,f1074,f1078,f1084,f1098,f1167,f1180,f1184,f1188,f1192,f1196,f1200,f1205,f1210,f1216,f1339,f1343,f1347,f1351,f1356,f1360,f1397,f1406,f1412,f1421,f1426,f1432,f1437,f1442,f1447,f1451,f1455,f1459,f1463,f1473,f1586,f1590,f1594,f1603,f1612,f1669,f1673,f1678,f1682,f1686,f1690,f1823,f1829,f1834,f1842,f1848,f1854,f1860,f1864,f1868,f1872,f1876,f1880,f1885,f1889,f1893,f1897,f1965,f1997,f2007,f2025,f2029]) ).
fof(f2029,plain,
( spl1_2
| ~ spl1_18
| ~ spl1_44
| ~ spl1_45
| ~ spl1_166 ),
inference(avatar_split_clause,[],[f2028,f2022,f747,f743,f592,f514]) ).
fof(f514,plain,
( spl1_2
<=> ord_less_int(plus_plus_int(one_one_int,power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat))),zero_zero_int) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f592,plain,
( spl1_18
<=> ! [X0] : zero_zero_int = times_times_int(zero_zero_int,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_18])]) ).
fof(f743,plain,
( spl1_44
<=> ! [X0,X1] : plus_plus_int(X1,X0) = plus_plus_int(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_44])]) ).
fof(f747,plain,
( spl1_45
<=> ! [X0,X1] : times_times_int(X0,X1) = times_times_int(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_45])]) ).
fof(f2022,plain,
( spl1_166
<=> ord_less_int(plus_plus_int(power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)),one_one_int),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_166])]) ).
fof(f2028,plain,
( ord_less_int(plus_plus_int(one_one_int,power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat))),zero_zero_int)
| ~ spl1_18
| ~ spl1_44
| ~ spl1_45
| ~ spl1_166 ),
inference(forward_demodulation,[],[f2027,f744]) ).
fof(f744,plain,
( ! [X0,X1] : plus_plus_int(X1,X0) = plus_plus_int(X0,X1)
| ~ spl1_44 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f2027,plain,
( ord_less_int(plus_plus_int(power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)),one_one_int),zero_zero_int)
| ~ spl1_18
| ~ spl1_45
| ~ spl1_166 ),
inference(forward_demodulation,[],[f2026,f593]) ).
fof(f593,plain,
( ! [X0] : zero_zero_int = times_times_int(zero_zero_int,X0)
| ~ spl1_18 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f2026,plain,
( ord_less_int(plus_plus_int(power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)),one_one_int),times_times_int(zero_zero_int,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))
| ~ spl1_45
| ~ spl1_166 ),
inference(forward_demodulation,[],[f2024,f748]) ).
fof(f748,plain,
( ! [X0,X1] : times_times_int(X0,X1) = times_times_int(X1,X0)
| ~ spl1_45 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f2024,plain,
( ord_less_int(plus_plus_int(power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)),one_one_int),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int))
| ~ spl1_166 ),
inference(avatar_component_clause,[],[f2022]) ).
fof(f2025,plain,
spl1_166,
inference(avatar_split_clause,[],[f443,f2022]) ).
fof(f443,plain,
ord_less_int(plus_plus_int(power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)),one_one_int),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int)),
inference(forward_demodulation,[],[f285,f442]) ).
fof(f442,plain,
times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t) = plus_plus_int(power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)),one_one_int),
inference(forward_demodulation,[],[f284,f281]) ).
fof(f281,plain,
number_number_of_nat(bit0(bit1(pls))) = plus_plus_nat(one_one_nat,one_one_nat),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
number_number_of_nat(bit0(bit1(pls))) = plus_plus_nat(one_one_nat,one_one_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_65_nat__1__add__1) ).
fof(f284,plain,
times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t) = plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t) = plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_t) ).
fof(f285,plain,
ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int)),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096) ).
fof(f2007,plain,
( spl1_165
| ~ spl1_10
| ~ spl1_15
| ~ spl1_44
| ~ spl1_45
| ~ spl1_164 ),
inference(avatar_split_clause,[],[f2002,f1994,f747,f743,f577,f552,f2004]) ).
fof(f2004,plain,
( spl1_165
<=> plus_plus_int(one_one_int,power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat))) = times_times_int(plus_plus_int(one_one_int,times_times_int(m,bit0(bit0(bit1(zero_zero_int))))),t) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_165])]) ).
fof(f552,plain,
( spl1_10
<=> ! [X0] : number_number_of_int(X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).
fof(f577,plain,
( spl1_15
<=> zero_zero_int = pls ),
introduced(avatar_definition,[new_symbols(naming,[spl1_15])]) ).
fof(f1994,plain,
( spl1_164
<=> times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t) = plus_plus_int(power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)),one_one_int) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_164])]) ).
fof(f2002,plain,
( plus_plus_int(one_one_int,power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat))) = times_times_int(plus_plus_int(one_one_int,times_times_int(m,bit0(bit0(bit1(zero_zero_int))))),t)
| ~ spl1_10
| ~ spl1_15
| ~ spl1_44
| ~ spl1_45
| ~ spl1_164 ),
inference(forward_demodulation,[],[f2001,f579]) ).
fof(f579,plain,
( zero_zero_int = pls
| ~ spl1_15 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f2001,plain,
( plus_plus_int(one_one_int,power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat))) = times_times_int(plus_plus_int(one_one_int,times_times_int(m,bit0(bit0(bit1(pls))))),t)
| ~ spl1_10
| ~ spl1_44
| ~ spl1_45
| ~ spl1_164 ),
inference(forward_demodulation,[],[f2000,f553]) ).
fof(f553,plain,
( ! [X0] : number_number_of_int(X0) = X0
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f2000,plain,
( plus_plus_int(one_one_int,power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat))) = times_times_int(plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(bit0(bit0(bit1(pls)))))),t)
| ~ spl1_44
| ~ spl1_45
| ~ spl1_164 ),
inference(forward_demodulation,[],[f1999,f748]) ).
fof(f1999,plain,
( plus_plus_int(one_one_int,power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat))) = times_times_int(plus_plus_int(one_one_int,times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m)),t)
| ~ spl1_44
| ~ spl1_164 ),
inference(forward_demodulation,[],[f1998,f744]) ).
fof(f1998,plain,
( times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t) = plus_plus_int(one_one_int,power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)))
| ~ spl1_44
| ~ spl1_164 ),
inference(forward_demodulation,[],[f1996,f744]) ).
fof(f1996,plain,
( times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t) = plus_plus_int(power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)),one_one_int)
| ~ spl1_164 ),
inference(avatar_component_clause,[],[f1994]) ).
fof(f1997,plain,
spl1_164,
inference(avatar_split_clause,[],[f442,f1994]) ).
fof(f1965,plain,
( ~ spl1_163
| ~ spl1_28
| ~ spl1_119 ),
inference(avatar_split_clause,[],[f1469,f1353,f638,f1962]) ).
fof(f1962,plain,
( spl1_163
<=> ord_less_int(bit1(zero_zero_int),one_one_int) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_163])]) ).
fof(f638,plain,
( spl1_28
<=> ! [X0,X1] :
( ~ ord_less_eq_int(X0,X1)
| ~ ord_less_int(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_28])]) ).
fof(f1353,plain,
( spl1_119
<=> ord_less_eq_int(one_one_int,bit1(zero_zero_int)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_119])]) ).
fof(f1469,plain,
( ~ ord_less_int(bit1(zero_zero_int),one_one_int)
| ~ spl1_28
| ~ spl1_119 ),
inference(resolution,[],[f1355,f639]) ).
fof(f639,plain,
( ! [X0,X1] :
( ~ ord_less_eq_int(X0,X1)
| ~ ord_less_int(X1,X0) )
| ~ spl1_28 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f1355,plain,
( ord_less_eq_int(one_one_int,bit1(zero_zero_int))
| ~ spl1_119 ),
inference(avatar_component_clause,[],[f1353]) ).
fof(f1897,plain,
( spl1_162
| ~ spl1_15
| ~ spl1_152 ),
inference(avatar_split_clause,[],[f1856,f1852,f577,f1895]) ).
fof(f1895,plain,
( spl1_162
<=> ! [X0,X1] :
( ~ ord_less_eq_int(zero_zero_int,X1)
| ~ ord_less_eq_int(zero_zero_int,X0)
| plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0)) = number_number_of_nat(plus_plus_int(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_162])]) ).
fof(f1852,plain,
( spl1_152
<=> ! [X0,X1] :
( plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0)) = number_number_of_nat(plus_plus_int(X1,X0))
| ~ ord_less_eq_int(pls,X0)
| ~ ord_less_eq_int(pls,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_152])]) ).
fof(f1856,plain,
( ! [X0,X1] :
( ~ ord_less_eq_int(zero_zero_int,X1)
| ~ ord_less_eq_int(zero_zero_int,X0)
| plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0)) = number_number_of_nat(plus_plus_int(X1,X0)) )
| ~ spl1_15
| ~ spl1_152 ),
inference(forward_demodulation,[],[f1855,f579]) ).
fof(f1855,plain,
( ! [X0,X1] :
( ~ ord_less_eq_int(zero_zero_int,X0)
| plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0)) = number_number_of_nat(plus_plus_int(X1,X0))
| ~ ord_less_eq_int(pls,X1) )
| ~ spl1_15
| ~ spl1_152 ),
inference(forward_demodulation,[],[f1853,f579]) ).
fof(f1853,plain,
( ! [X0,X1] :
( plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0)) = number_number_of_nat(plus_plus_int(X1,X0))
| ~ ord_less_eq_int(pls,X0)
| ~ ord_less_eq_int(pls,X1) )
| ~ spl1_152 ),
inference(avatar_component_clause,[],[f1852]) ).
fof(f1893,plain,
( spl1_161
| ~ spl1_15
| ~ spl1_151 ),
inference(avatar_split_clause,[],[f1850,f1846,f577,f1891]) ).
fof(f1891,plain,
( spl1_161
<=> ! [X0,X1] :
( ~ ord_less_eq_int(zero_zero_int,X1)
| ~ ord_less_eq_int(zero_zero_int,X0)
| times_times_nat(number_number_of_nat(X1),number_number_of_nat(X0)) = number_number_of_nat(times_times_int(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_161])]) ).
fof(f1846,plain,
( spl1_151
<=> ! [X0,X1] :
( times_times_nat(number_number_of_nat(X1),number_number_of_nat(X0)) = number_number_of_nat(times_times_int(X1,X0))
| ~ ord_less_eq_int(pls,X0)
| ~ ord_less_eq_int(pls,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_151])]) ).
fof(f1850,plain,
( ! [X0,X1] :
( ~ ord_less_eq_int(zero_zero_int,X1)
| ~ ord_less_eq_int(zero_zero_int,X0)
| times_times_nat(number_number_of_nat(X1),number_number_of_nat(X0)) = number_number_of_nat(times_times_int(X1,X0)) )
| ~ spl1_15
| ~ spl1_151 ),
inference(forward_demodulation,[],[f1849,f579]) ).
fof(f1849,plain,
( ! [X0,X1] :
( ~ ord_less_eq_int(zero_zero_int,X0)
| times_times_nat(number_number_of_nat(X1),number_number_of_nat(X0)) = number_number_of_nat(times_times_int(X1,X0))
| ~ ord_less_eq_int(pls,X1) )
| ~ spl1_15
| ~ spl1_151 ),
inference(forward_demodulation,[],[f1847,f579]) ).
fof(f1847,plain,
( ! [X0,X1] :
( times_times_nat(number_number_of_nat(X1),number_number_of_nat(X0)) = number_number_of_nat(times_times_int(X1,X0))
| ~ ord_less_eq_int(pls,X0)
| ~ ord_less_eq_int(pls,X1) )
| ~ spl1_151 ),
inference(avatar_component_clause,[],[f1846]) ).
fof(f1889,plain,
( spl1_160
| ~ spl1_15
| ~ spl1_150 ),
inference(avatar_split_clause,[],[f1844,f1840,f577,f1887]) ).
fof(f1887,plain,
( spl1_160
<=> ! [X0,X1] :
( ord_less_int(X1,zero_zero_int)
| ord_less_int(X0,zero_zero_int)
| plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0)) = number_number_of_nat(plus_plus_int(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_160])]) ).
fof(f1840,plain,
( spl1_150
<=> ! [X0,X1] :
( plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0)) = number_number_of_nat(plus_plus_int(X1,X0))
| ord_less_int(X0,pls)
| ord_less_int(X1,pls) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_150])]) ).
fof(f1844,plain,
( ! [X0,X1] :
( ord_less_int(X1,zero_zero_int)
| ord_less_int(X0,zero_zero_int)
| plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0)) = number_number_of_nat(plus_plus_int(X1,X0)) )
| ~ spl1_15
| ~ spl1_150 ),
inference(forward_demodulation,[],[f1843,f579]) ).
fof(f1843,plain,
( ! [X0,X1] :
( ord_less_int(X0,zero_zero_int)
| plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0)) = number_number_of_nat(plus_plus_int(X1,X0))
| ord_less_int(X1,pls) )
| ~ spl1_15
| ~ spl1_150 ),
inference(forward_demodulation,[],[f1841,f579]) ).
fof(f1841,plain,
( ! [X0,X1] :
( plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0)) = number_number_of_nat(plus_plus_int(X1,X0))
| ord_less_int(X0,pls)
| ord_less_int(X1,pls) )
| ~ spl1_150 ),
inference(avatar_component_clause,[],[f1840]) ).
fof(f1885,plain,
( spl1_159
| ~ spl1_19
| ~ spl1_119 ),
inference(avatar_split_clause,[],[f1464,f1353,f596,f1882]) ).
fof(f1882,plain,
( spl1_159
<=> ord_less_int(zero_zero_int,bit1(zero_zero_int)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_159])]) ).
fof(f596,plain,
( spl1_19
<=> ! [X0] :
( ord_less_int(zero_zero_int,X0)
| ~ ord_less_eq_int(one_one_int,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_19])]) ).
fof(f1464,plain,
( ord_less_int(zero_zero_int,bit1(zero_zero_int))
| ~ spl1_19
| ~ spl1_119 ),
inference(resolution,[],[f1355,f597]) ).
fof(f597,plain,
( ! [X0] :
( ~ ord_less_eq_int(one_one_int,X0)
| ord_less_int(zero_zero_int,X0) )
| ~ spl1_19 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f1880,plain,
spl1_158,
inference(avatar_split_clause,[],[f500,f1878]) ).
fof(f1878,plain,
( spl1_158
<=> ! [X0,X1] :
( ord_less_int(zero_zero_int,plus_plus_int(power_power_int(X0,plus_plus_nat(one_one_nat,one_one_nat)),power_power_int(X1,plus_plus_nat(one_one_nat,one_one_nat))))
| zero_zero_int = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_158])]) ).
fof(f500,plain,
! [X0,X1] :
( ord_less_int(zero_zero_int,plus_plus_int(power_power_int(X0,plus_plus_nat(one_one_nat,one_one_nat)),power_power_int(X1,plus_plus_nat(one_one_nat,one_one_nat))))
| zero_zero_int = X0 ),
inference(forward_demodulation,[],[f408,f281]) ).
fof(f408,plain,
! [X0,X1] :
( ord_less_int(zero_zero_int,plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))))
| zero_zero_int = X0 ),
inference(cnf_transformation,[],[f266]) ).
fof(f266,plain,
! [X0,X1] :
( ( ord_less_int(zero_zero_int,plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))))
| ( zero_zero_int = X1
& zero_zero_int = X0 ) )
& ( zero_zero_int != X1
| zero_zero_int != X0
| ~ ord_less_int(zero_zero_int,plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))))) ) ),
inference(flattening,[],[f265]) ).
fof(f265,plain,
! [X0,X1] :
( ( ord_less_int(zero_zero_int,plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))))
| ( zero_zero_int = X1
& zero_zero_int = X0 ) )
& ( zero_zero_int != X1
| zero_zero_int != X0
| ~ ord_less_int(zero_zero_int,plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))))) ) ),
inference(nnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0,X1] :
( ord_less_int(zero_zero_int,plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))))
<=> ( zero_zero_int != X1
| zero_zero_int != X0 ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X2,X3] :
( ord_less_int(zero_zero_int,plus_plus_int(power_power_int(X2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X3,number_number_of_nat(bit0(bit1(pls))))))
<=> ( zero_zero_int != X3
| zero_zero_int != X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_sum__power2__gt__zero__iff) ).
fof(f1876,plain,
spl1_157,
inference(avatar_split_clause,[],[f499,f1874]) ).
fof(f1874,plain,
( spl1_157
<=> ! [X0,X1] :
( ord_less_int(zero_zero_int,plus_plus_int(power_power_int(X0,plus_plus_nat(one_one_nat,one_one_nat)),power_power_int(X1,plus_plus_nat(one_one_nat,one_one_nat))))
| zero_zero_int = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_157])]) ).
fof(f499,plain,
! [X0,X1] :
( ord_less_int(zero_zero_int,plus_plus_int(power_power_int(X0,plus_plus_nat(one_one_nat,one_one_nat)),power_power_int(X1,plus_plus_nat(one_one_nat,one_one_nat))))
| zero_zero_int = X1 ),
inference(forward_demodulation,[],[f409,f281]) ).
fof(f409,plain,
! [X0,X1] :
( ord_less_int(zero_zero_int,plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))))
| zero_zero_int = X1 ),
inference(cnf_transformation,[],[f266]) ).
fof(f1872,plain,
spl1_156,
inference(avatar_split_clause,[],[f498,f1870]) ).
fof(f1870,plain,
( spl1_156
<=> ! [X0,X1] :
( zero_zero_int != plus_plus_int(power_power_int(X0,plus_plus_nat(one_one_nat,one_one_nat)),power_power_int(X1,plus_plus_nat(one_one_nat,one_one_nat)))
| zero_zero_int = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_156])]) ).
fof(f498,plain,
! [X0,X1] :
( zero_zero_int != plus_plus_int(power_power_int(X0,plus_plus_nat(one_one_nat,one_one_nat)),power_power_int(X1,plus_plus_nat(one_one_nat,one_one_nat)))
| zero_zero_int = X0 ),
inference(forward_demodulation,[],[f404,f281]) ).
fof(f404,plain,
! [X0,X1] :
( zero_zero_int = X0
| zero_zero_int != plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) ),
inference(cnf_transformation,[],[f264]) ).
fof(f264,plain,
! [X0,X1] :
( ( zero_zero_int = plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))))
| zero_zero_int != X1
| zero_zero_int != X0 )
& ( ( zero_zero_int = X1
& zero_zero_int = X0 )
| zero_zero_int != plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) ) ),
inference(flattening,[],[f263]) ).
fof(f263,plain,
! [X0,X1] :
( ( zero_zero_int = plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))))
| zero_zero_int != X1
| zero_zero_int != X0 )
& ( ( zero_zero_int = X1
& zero_zero_int = X0 )
| zero_zero_int != plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) ) ),
inference(nnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0,X1] :
( zero_zero_int = plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))))
<=> ( zero_zero_int = X1
& zero_zero_int = X0 ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X2,X3] :
( zero_zero_int = plus_plus_int(power_power_int(X2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X3,number_number_of_nat(bit0(bit1(pls)))))
<=> ( zero_zero_int = X3
& zero_zero_int = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_sum__power2__eq__zero__iff) ).
fof(f1868,plain,
spl1_155,
inference(avatar_split_clause,[],[f497,f1866]) ).
fof(f1866,plain,
( spl1_155
<=> ! [X0,X1] :
( zero_zero_int != plus_plus_int(power_power_int(X0,plus_plus_nat(one_one_nat,one_one_nat)),power_power_int(X1,plus_plus_nat(one_one_nat,one_one_nat)))
| zero_zero_int = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_155])]) ).
fof(f497,plain,
! [X0,X1] :
( zero_zero_int != plus_plus_int(power_power_int(X0,plus_plus_nat(one_one_nat,one_one_nat)),power_power_int(X1,plus_plus_nat(one_one_nat,one_one_nat)))
| zero_zero_int = X1 ),
inference(forward_demodulation,[],[f405,f281]) ).
fof(f405,plain,
! [X0,X1] :
( zero_zero_int = X1
| zero_zero_int != plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) ),
inference(cnf_transformation,[],[f264]) ).
fof(f1864,plain,
spl1_154,
inference(avatar_split_clause,[],[f418,f1862]) ).
fof(f1862,plain,
( spl1_154
<=> ! [X2,X0,X1] : times_times_nat(plus_plus_nat(X0,X1),number_number_of_nat(X2)) = plus_plus_nat(times_times_nat(X0,number_number_of_nat(X2)),times_times_nat(X1,number_number_of_nat(X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_154])]) ).
fof(f418,plain,
! [X2,X0,X1] : times_times_nat(plus_plus_nat(X0,X1),number_number_of_nat(X2)) = plus_plus_nat(times_times_nat(X0,number_number_of_nat(X2)),times_times_nat(X1,number_number_of_nat(X2))),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0,X1,X2] : times_times_nat(plus_plus_nat(X0,X1),number_number_of_nat(X2)) = plus_plus_nat(times_times_nat(X0,number_number_of_nat(X2)),times_times_nat(X1,number_number_of_nat(X2))),
inference(rectify,[],[f100]) ).
fof(f100,axiom,
! [X43,X44,X45] : times_times_nat(plus_plus_nat(X43,X44),number_number_of_nat(X45)) = plus_plus_nat(times_times_nat(X43,number_number_of_nat(X45)),times_times_nat(X44,number_number_of_nat(X45))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_99_left__distrib__number__of) ).
fof(f1860,plain,
spl1_153,
inference(avatar_split_clause,[],[f417,f1858]) ).
fof(f1858,plain,
( spl1_153
<=> ! [X2,X0,X1] : times_times_nat(number_number_of_nat(X0),plus_plus_nat(X1,X2)) = plus_plus_nat(times_times_nat(number_number_of_nat(X0),X1),times_times_nat(number_number_of_nat(X0),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_153])]) ).
fof(f417,plain,
! [X2,X0,X1] : times_times_nat(number_number_of_nat(X0),plus_plus_nat(X1,X2)) = plus_plus_nat(times_times_nat(number_number_of_nat(X0),X1),times_times_nat(number_number_of_nat(X0),X2)),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0,X1,X2] : times_times_nat(number_number_of_nat(X0),plus_plus_nat(X1,X2)) = plus_plus_nat(times_times_nat(number_number_of_nat(X0),X1),times_times_nat(number_number_of_nat(X0),X2)),
inference(rectify,[],[f102]) ).
fof(f102,axiom,
! [X46,X47,X48] : times_times_nat(number_number_of_nat(X46),plus_plus_nat(X47,X48)) = plus_plus_nat(times_times_nat(number_number_of_nat(X46),X47),times_times_nat(number_number_of_nat(X46),X48)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_101_right__distrib__number__of) ).
fof(f1854,plain,
spl1_152,
inference(avatar_split_clause,[],[f343,f1852]) ).
fof(f343,plain,
! [X0,X1] :
( plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0)) = number_number_of_nat(plus_plus_int(X1,X0))
| ~ ord_less_eq_int(pls,X0)
| ~ ord_less_eq_int(pls,X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0,X1] :
( plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0)) = number_number_of_nat(plus_plus_int(X1,X0))
| ~ ord_less_eq_int(pls,X0)
| ~ ord_less_eq_int(pls,X1) ),
inference(flattening,[],[f203]) ).
fof(f203,plain,
! [X0,X1] :
( plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0)) = number_number_of_nat(plus_plus_int(X1,X0))
| ~ ord_less_eq_int(pls,X0)
| ~ ord_less_eq_int(pls,X1) ),
inference(ennf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0,X1] :
( ord_less_eq_int(pls,X1)
=> ( ord_less_eq_int(pls,X0)
=> plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0)) = number_number_of_nat(plus_plus_int(X1,X0)) ) ),
inference(rectify,[],[f89]) ).
fof(f89,axiom,
! [X40,X41] :
( ord_less_eq_int(pls,X41)
=> ( ord_less_eq_int(pls,X40)
=> plus_plus_nat(number_number_of_nat(X41),number_number_of_nat(X40)) = number_number_of_nat(plus_plus_int(X41,X40)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_88_semiring__add__number__of) ).
fof(f1848,plain,
spl1_151,
inference(avatar_split_clause,[],[f342,f1846]) ).
fof(f342,plain,
! [X0,X1] :
( times_times_nat(number_number_of_nat(X1),number_number_of_nat(X0)) = number_number_of_nat(times_times_int(X1,X0))
| ~ ord_less_eq_int(pls,X0)
| ~ ord_less_eq_int(pls,X1) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0,X1] :
( times_times_nat(number_number_of_nat(X1),number_number_of_nat(X0)) = number_number_of_nat(times_times_int(X1,X0))
| ~ ord_less_eq_int(pls,X0)
| ~ ord_less_eq_int(pls,X1) ),
inference(flattening,[],[f201]) ).
fof(f201,plain,
! [X0,X1] :
( times_times_nat(number_number_of_nat(X1),number_number_of_nat(X0)) = number_number_of_nat(times_times_int(X1,X0))
| ~ ord_less_eq_int(pls,X0)
| ~ ord_less_eq_int(pls,X1) ),
inference(ennf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0,X1] :
( ord_less_eq_int(pls,X1)
=> ( ord_less_eq_int(pls,X0)
=> times_times_nat(number_number_of_nat(X1),number_number_of_nat(X0)) = number_number_of_nat(times_times_int(X1,X0)) ) ),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X25,X26] :
( ord_less_eq_int(pls,X26)
=> ( ord_less_eq_int(pls,X25)
=> times_times_nat(number_number_of_nat(X26),number_number_of_nat(X25)) = number_number_of_nat(times_times_int(X26,X25)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_43_semiring__mult__number__of) ).
fof(f1842,plain,
spl1_150,
inference(avatar_split_clause,[],[f338,f1840]) ).
fof(f338,plain,
! [X0,X1] :
( plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0)) = number_number_of_nat(plus_plus_int(X1,X0))
| ord_less_int(X0,pls)
| ord_less_int(X1,pls) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0,X1] :
( ( ( ( plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0)) = number_number_of_nat(plus_plus_int(X1,X0))
| ord_less_int(X0,pls) )
& ( number_number_of_nat(X1) = plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0))
| ~ ord_less_int(X0,pls) ) )
| ord_less_int(X1,pls) )
& ( number_number_of_nat(X0) = plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0))
| ~ ord_less_int(X1,pls) ) ),
inference(ennf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( ( ~ ord_less_int(X1,pls)
=> ( ( ~ ord_less_int(X0,pls)
=> plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0)) = number_number_of_nat(plus_plus_int(X1,X0)) )
& ( ord_less_int(X0,pls)
=> number_number_of_nat(X1) = plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0)) ) ) )
& ( ord_less_int(X1,pls)
=> number_number_of_nat(X0) = plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0)) ) ),
inference(rectify,[],[f90]) ).
fof(f90,axiom,
! [X42,X12] :
( ( ~ ord_less_int(X12,pls)
=> ( ( ~ ord_less_int(X42,pls)
=> plus_plus_nat(number_number_of_nat(X12),number_number_of_nat(X42)) = number_number_of_nat(plus_plus_int(X12,X42)) )
& ( ord_less_int(X42,pls)
=> number_number_of_nat(X12) = plus_plus_nat(number_number_of_nat(X12),number_number_of_nat(X42)) ) ) )
& ( ord_less_int(X12,pls)
=> number_number_of_nat(X42) = plus_plus_nat(number_number_of_nat(X12),number_number_of_nat(X42)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_89_add__nat__number__of) ).
fof(f1834,plain,
( spl1_149
| ~ spl1_53
| ~ spl1_57 ),
inference(avatar_split_clause,[],[f884,f800,f784,f1831]) ).
fof(f1831,plain,
( spl1_149
<=> zero_zero_nat = number_number_of_nat(t) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_149])]) ).
fof(f784,plain,
( spl1_53
<=> ! [X0] :
( ~ ord_less_eq_int(X0,zero_zero_int)
| zero_zero_nat = number_number_of_nat(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_53])]) ).
fof(f800,plain,
( spl1_57
<=> ord_less_eq_int(t,zero_zero_int) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_57])]) ).
fof(f884,plain,
( zero_zero_nat = number_number_of_nat(t)
| ~ spl1_53
| ~ spl1_57 ),
inference(resolution,[],[f802,f785]) ).
fof(f785,plain,
( ! [X0] :
( ~ ord_less_eq_int(X0,zero_zero_int)
| zero_zero_nat = number_number_of_nat(X0) )
| ~ spl1_53 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f802,plain,
( ord_less_eq_int(t,zero_zero_int)
| ~ spl1_57 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f1829,plain,
( spl1_148
| ~ spl1_15
| ~ spl1_147 ),
inference(avatar_split_clause,[],[f1825,f1821,f577,f1827]) ).
fof(f1827,plain,
( spl1_148
<=> ! [X0,X1] :
( ord_less_int(X1,zero_zero_int)
| ~ ord_less_int(X0,zero_zero_int)
| number_number_of_nat(X1) = plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_148])]) ).
fof(f1821,plain,
( spl1_147
<=> ! [X0,X1] :
( number_number_of_nat(X1) = plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0))
| ~ ord_less_int(X0,pls)
| ord_less_int(X1,pls) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_147])]) ).
fof(f1825,plain,
( ! [X0,X1] :
( ord_less_int(X1,zero_zero_int)
| ~ ord_less_int(X0,zero_zero_int)
| number_number_of_nat(X1) = plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0)) )
| ~ spl1_15
| ~ spl1_147 ),
inference(forward_demodulation,[],[f1824,f579]) ).
fof(f1824,plain,
( ! [X0,X1] :
( ~ ord_less_int(X0,zero_zero_int)
| number_number_of_nat(X1) = plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0))
| ord_less_int(X1,pls) )
| ~ spl1_15
| ~ spl1_147 ),
inference(forward_demodulation,[],[f1822,f579]) ).
fof(f1822,plain,
( ! [X0,X1] :
( number_number_of_nat(X1) = plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0))
| ~ ord_less_int(X0,pls)
| ord_less_int(X1,pls) )
| ~ spl1_147 ),
inference(avatar_component_clause,[],[f1821]) ).
fof(f1823,plain,
spl1_147,
inference(avatar_split_clause,[],[f337,f1821]) ).
fof(f337,plain,
! [X0,X1] :
( number_number_of_nat(X1) = plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0))
| ~ ord_less_int(X0,pls)
| ord_less_int(X1,pls) ),
inference(cnf_transformation,[],[f198]) ).
fof(f1690,plain,
spl1_146,
inference(avatar_split_clause,[],[f470,f1688]) ).
fof(f1688,plain,
( spl1_146
<=> ! [X0,X1] : ~ ord_less_int(plus_plus_int(power_power_int(X0,plus_plus_nat(one_one_nat,one_one_nat)),power_power_int(X1,plus_plus_nat(one_one_nat,one_one_nat))),zero_zero_int) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_146])]) ).
fof(f470,plain,
! [X0,X1] : ~ ord_less_int(plus_plus_int(power_power_int(X0,plus_plus_nat(one_one_nat,one_one_nat)),power_power_int(X1,plus_plus_nat(one_one_nat,one_one_nat))),zero_zero_int),
inference(forward_demodulation,[],[f335,f281]) ).
fof(f335,plain,
! [X0,X1] : ~ ord_less_int(plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))),zero_zero_int),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] : ~ ord_less_int(plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))),zero_zero_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_not__sum__power2__lt__zero) ).
fof(f1686,plain,
spl1_145,
inference(avatar_split_clause,[],[f423,f1684]) ).
fof(f1684,plain,
( spl1_145
<=> ! [X0,X3,X2,X1] :
( ord_less_int(plus_plus_int(X2,X0),plus_plus_int(X3,X1))
| ~ ord_less_eq_int(X0,X1)
| ~ ord_less_int(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_145])]) ).
fof(f423,plain,
! [X2,X3,X0,X1] :
( ord_less_int(plus_plus_int(X2,X0),plus_plus_int(X3,X1))
| ~ ord_less_eq_int(X0,X1)
| ~ ord_less_int(X2,X3) ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0,X1,X2,X3] :
( ord_less_int(plus_plus_int(X2,X0),plus_plus_int(X3,X1))
| ~ ord_less_eq_int(X0,X1)
| ~ ord_less_int(X2,X3) ),
inference(flattening,[],[f214]) ).
fof(f214,plain,
! [X0,X1,X2,X3] :
( ord_less_int(plus_plus_int(X2,X0),plus_plus_int(X3,X1))
| ~ ord_less_eq_int(X0,X1)
| ~ ord_less_int(X2,X3) ),
inference(ennf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0,X1,X2,X3] :
( ord_less_int(X2,X3)
=> ( ord_less_eq_int(X0,X1)
=> ord_less_int(plus_plus_int(X2,X0),plus_plus_int(X3,X1)) ) ),
inference(rectify,[],[f61]) ).
fof(f61,axiom,
! [X36,X11,X37,X9] :
( ord_less_int(X37,X9)
=> ( ord_less_eq_int(X36,X11)
=> ord_less_int(plus_plus_int(X37,X36),plus_plus_int(X9,X11)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_60_zadd__zless__mono) ).
fof(f1682,plain,
spl1_144,
inference(avatar_split_clause,[],[f415,f1680]) ).
fof(f1680,plain,
( spl1_144
<=> ! [X2,X0,X1] : times_times_int(plus_plus_int(X0,X1),X2) = plus_plus_int(times_times_int(X0,X2),times_times_int(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_144])]) ).
fof(f415,plain,
! [X2,X0,X1] : times_times_int(plus_plus_int(X0,X1),X2) = plus_plus_int(times_times_int(X0,X2),times_times_int(X1,X2)),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0,X1,X2] : times_times_int(plus_plus_int(X0,X1),X2) = plus_plus_int(times_times_int(X0,X2),times_times_int(X1,X2)),
inference(rectify,[],[f73]) ).
fof(f73,axiom,
! [X15,X16,X9] : times_times_int(plus_plus_int(X15,X16),X9) = plus_plus_int(times_times_int(X15,X9),times_times_int(X16,X9)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_72_zadd__zmult__distrib) ).
fof(f1678,plain,
( spl1_143
| ~ spl1_8
| ~ spl1_15 ),
inference(avatar_split_clause,[],[f604,f577,f542,f1675]) ).
fof(f1675,plain,
( spl1_143
<=> zero_zero_nat = number_number_of_nat(zero_zero_int) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_143])]) ).
fof(f542,plain,
( spl1_8
<=> zero_zero_nat = number_number_of_nat(pls) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).
fof(f604,plain,
( zero_zero_nat = number_number_of_nat(zero_zero_int)
| ~ spl1_8
| ~ spl1_15 ),
inference(superposition,[],[f544,f579]) ).
fof(f544,plain,
( zero_zero_nat = number_number_of_nat(pls)
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f1673,plain,
spl1_142,
inference(avatar_split_clause,[],[f414,f1671]) ).
fof(f1671,plain,
( spl1_142
<=> ! [X2,X0,X1] : times_times_int(X0,plus_plus_int(X1,X2)) = plus_plus_int(times_times_int(X0,X1),times_times_int(X0,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_142])]) ).
fof(f414,plain,
! [X2,X0,X1] : times_times_int(X0,plus_plus_int(X1,X2)) = plus_plus_int(times_times_int(X0,X1),times_times_int(X0,X2)),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0,X1,X2] : times_times_int(X0,plus_plus_int(X1,X2)) = plus_plus_int(times_times_int(X0,X1),times_times_int(X0,X2)),
inference(rectify,[],[f74]) ).
fof(f74,axiom,
! [X9,X15,X16] : times_times_int(X9,plus_plus_int(X15,X16)) = plus_plus_int(times_times_int(X9,X15),times_times_int(X9,X16)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_73_zadd__zmult__distrib2) ).
fof(f1669,plain,
spl1_141,
inference(avatar_split_clause,[],[f413,f1667]) ).
fof(f1667,plain,
( spl1_141
<=> ! [X2,X0,X1] : power_power_int(X0,plus_plus_nat(X1,X2)) = times_times_int(power_power_int(X0,X1),power_power_int(X0,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_141])]) ).
fof(f413,plain,
! [X2,X0,X1] : power_power_int(X0,plus_plus_nat(X1,X2)) = times_times_int(power_power_int(X0,X1),power_power_int(X0,X2)),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0,X1,X2] : power_power_int(X0,plus_plus_nat(X1,X2)) = times_times_int(power_power_int(X0,X1),power_power_int(X0,X2)),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X0,X1,X11] : power_power_int(X0,plus_plus_nat(X1,X11)) = times_times_int(power_power_int(X0,X1),power_power_int(X0,X11)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_33_zpower__zadd__distrib) ).
fof(f1612,plain,
( ~ spl1_139
| spl1_140 ),
inference(avatar_split_clause,[],[f445,f1609,f1605]) ).
fof(f1605,plain,
( spl1_139
<=> t = zero_zero_int ),
introduced(avatar_definition,[new_symbols(naming,[spl1_139])]) ).
fof(f1609,plain,
( spl1_140
<=> t = plus_plus_int(power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)),one_one_int) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_140])]) ).
fof(f445,plain,
( t = plus_plus_int(power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)),one_one_int)
| t != zero_zero_int ),
inference(inner_rewriting,[],[f444]) ).
fof(f444,plain,
( zero_zero_int = plus_plus_int(power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)),one_one_int)
| t != zero_zero_int ),
inference(forward_demodulation,[],[f286,f281]) ).
fof(f286,plain,
( zero_zero_int = plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int)
| t != zero_zero_int ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
( zero_zero_int = plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int)
| t != zero_zero_int ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
( t = zero_zero_int
=> zero_zero_int = plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_calculation_I2_J) ).
fof(f1603,plain,
spl1_138,
inference(avatar_split_clause,[],[f402,f1601]) ).
fof(f1601,plain,
( spl1_138
<=> ! [X0,X1] :
( zero_zero_int = X1
| ~ ord_less_eq_int(plus_plus_int(times_times_int(X0,X0),times_times_int(X1,X1)),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_138])]) ).
fof(f402,plain,
! [X0,X1] :
( zero_zero_int = X1
| ~ ord_less_eq_int(plus_plus_int(times_times_int(X0,X0),times_times_int(X1,X1)),zero_zero_int) ),
inference(cnf_transformation,[],[f262]) ).
fof(f262,plain,
! [X0,X1] :
( ( ord_less_eq_int(plus_plus_int(times_times_int(X0,X0),times_times_int(X1,X1)),zero_zero_int)
| zero_zero_int != X1
| zero_zero_int != X0 )
& ( ( zero_zero_int = X1
& zero_zero_int = X0 )
| ~ ord_less_eq_int(plus_plus_int(times_times_int(X0,X0),times_times_int(X1,X1)),zero_zero_int) ) ),
inference(flattening,[],[f261]) ).
fof(f261,plain,
! [X0,X1] :
( ( ord_less_eq_int(plus_plus_int(times_times_int(X0,X0),times_times_int(X1,X1)),zero_zero_int)
| zero_zero_int != X1
| zero_zero_int != X0 )
& ( ( zero_zero_int = X1
& zero_zero_int = X0 )
| ~ ord_less_eq_int(plus_plus_int(times_times_int(X0,X0),times_times_int(X1,X1)),zero_zero_int) ) ),
inference(nnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0,X1] :
( ord_less_eq_int(plus_plus_int(times_times_int(X0,X0),times_times_int(X1,X1)),zero_zero_int)
<=> ( zero_zero_int = X1
& zero_zero_int = X0 ) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X2,X3] :
( ord_less_eq_int(plus_plus_int(times_times_int(X2,X2),times_times_int(X3,X3)),zero_zero_int)
<=> ( zero_zero_int = X3
& zero_zero_int = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_48_sum__squares__le__zero__iff) ).
fof(f1594,plain,
spl1_137,
inference(avatar_split_clause,[],[f401,f1592]) ).
fof(f1592,plain,
( spl1_137
<=> ! [X0,X1] :
( zero_zero_int = X0
| ~ ord_less_eq_int(plus_plus_int(times_times_int(X0,X0),times_times_int(X1,X1)),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_137])]) ).
fof(f401,plain,
! [X0,X1] :
( zero_zero_int = X0
| ~ ord_less_eq_int(plus_plus_int(times_times_int(X0,X0),times_times_int(X1,X1)),zero_zero_int) ),
inference(cnf_transformation,[],[f262]) ).
fof(f1590,plain,
spl1_136,
inference(avatar_split_clause,[],[f399,f1588]) ).
fof(f1588,plain,
( spl1_136
<=> ! [X0,X1] :
( zero_zero_int = X1
| zero_zero_int != plus_plus_int(times_times_int(X0,X0),times_times_int(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_136])]) ).
fof(f399,plain,
! [X0,X1] :
( zero_zero_int = X1
| zero_zero_int != plus_plus_int(times_times_int(X0,X0),times_times_int(X1,X1)) ),
inference(cnf_transformation,[],[f260]) ).
fof(f260,plain,
! [X0,X1] :
( ( zero_zero_int = plus_plus_int(times_times_int(X0,X0),times_times_int(X1,X1))
| zero_zero_int != X1
| zero_zero_int != X0 )
& ( ( zero_zero_int = X1
& zero_zero_int = X0 )
| zero_zero_int != plus_plus_int(times_times_int(X0,X0),times_times_int(X1,X1)) ) ),
inference(flattening,[],[f259]) ).
fof(f259,plain,
! [X0,X1] :
( ( zero_zero_int = plus_plus_int(times_times_int(X0,X0),times_times_int(X1,X1))
| zero_zero_int != X1
| zero_zero_int != X0 )
& ( ( zero_zero_int = X1
& zero_zero_int = X0 )
| zero_zero_int != plus_plus_int(times_times_int(X0,X0),times_times_int(X1,X1)) ) ),
inference(nnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1] :
( zero_zero_int = plus_plus_int(times_times_int(X0,X0),times_times_int(X1,X1))
<=> ( zero_zero_int = X1
& zero_zero_int = X0 ) ),
inference(rectify,[],[f98]) ).
fof(f98,axiom,
! [X2,X3] :
( zero_zero_int = plus_plus_int(times_times_int(X2,X2),times_times_int(X3,X3))
<=> ( zero_zero_int = X3
& zero_zero_int = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_97_sum__squares__eq__zero__iff) ).
fof(f1586,plain,
spl1_135,
inference(avatar_split_clause,[],[f398,f1584]) ).
fof(f1584,plain,
( spl1_135
<=> ! [X0,X1] :
( zero_zero_int = X0
| zero_zero_int != plus_plus_int(times_times_int(X0,X0),times_times_int(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_135])]) ).
fof(f398,plain,
! [X0,X1] :
( zero_zero_int = X0
| zero_zero_int != plus_plus_int(times_times_int(X0,X0),times_times_int(X1,X1)) ),
inference(cnf_transformation,[],[f260]) ).
fof(f1473,plain,
( spl1_134
| ~ spl1_15
| ~ spl1_128 ),
inference(avatar_split_clause,[],[f1443,f1440,f577,f1471]) ).
fof(f1471,plain,
( spl1_134
<=> ! [X0,X1] :
( ~ ord_less_int(zero_zero_int,X1)
| ord_less_nat(number_number_of_nat(X0),number_number_of_nat(X1))
| ~ ord_less_int(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_134])]) ).
fof(f1440,plain,
( spl1_128
<=> ! [X0,X1] :
( ord_less_nat(number_number_of_nat(X0),number_number_of_nat(X1))
| ~ ord_less_int(X0,X1)
| ~ ord_less_int(pls,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_128])]) ).
fof(f1443,plain,
( ! [X0,X1] :
( ~ ord_less_int(zero_zero_int,X1)
| ord_less_nat(number_number_of_nat(X0),number_number_of_nat(X1))
| ~ ord_less_int(X0,X1) )
| ~ spl1_15
| ~ spl1_128 ),
inference(forward_demodulation,[],[f1441,f579]) ).
fof(f1441,plain,
( ! [X0,X1] :
( ord_less_nat(number_number_of_nat(X0),number_number_of_nat(X1))
| ~ ord_less_int(X0,X1)
| ~ ord_less_int(pls,X1) )
| ~ spl1_128 ),
inference(avatar_component_clause,[],[f1440]) ).
fof(f1463,plain,
( spl1_133
| ~ spl1_15
| ~ spl1_127 ),
inference(avatar_split_clause,[],[f1438,f1435,f577,f1461]) ).
fof(f1461,plain,
( spl1_133
<=> ! [X0,X1] :
( ord_less_int(zero_zero_int,X1)
| ~ ord_less_int(X0,X1)
| ~ ord_less_nat(number_number_of_nat(X0),number_number_of_nat(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_133])]) ).
fof(f1435,plain,
( spl1_127
<=> ! [X0,X1] :
( ord_less_int(pls,X1)
| ~ ord_less_int(X0,X1)
| ~ ord_less_nat(number_number_of_nat(X0),number_number_of_nat(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_127])]) ).
fof(f1438,plain,
( ! [X0,X1] :
( ord_less_int(zero_zero_int,X1)
| ~ ord_less_int(X0,X1)
| ~ ord_less_nat(number_number_of_nat(X0),number_number_of_nat(X1)) )
| ~ spl1_15
| ~ spl1_127 ),
inference(forward_demodulation,[],[f1436,f579]) ).
fof(f1436,plain,
( ! [X0,X1] :
( ord_less_int(pls,X1)
| ~ ord_less_int(X0,X1)
| ~ ord_less_nat(number_number_of_nat(X0),number_number_of_nat(X1)) )
| ~ spl1_127 ),
inference(avatar_component_clause,[],[f1435]) ).
fof(f1459,plain,
( spl1_132
| ~ spl1_15
| ~ spl1_126 ),
inference(avatar_split_clause,[],[f1433,f1430,f577,f1457]) ).
fof(f1457,plain,
( spl1_132
<=> ! [X0,X1] :
( ~ ord_less_int(X1,zero_zero_int)
| number_number_of_nat(X0) = plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_132])]) ).
fof(f1430,plain,
( spl1_126
<=> ! [X0,X1] :
( number_number_of_nat(X0) = plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0))
| ~ ord_less_int(X1,pls) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_126])]) ).
fof(f1433,plain,
( ! [X0,X1] :
( ~ ord_less_int(X1,zero_zero_int)
| number_number_of_nat(X0) = plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0)) )
| ~ spl1_15
| ~ spl1_126 ),
inference(forward_demodulation,[],[f1431,f579]) ).
fof(f1431,plain,
( ! [X0,X1] :
( number_number_of_nat(X0) = plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0))
| ~ ord_less_int(X1,pls) )
| ~ spl1_126 ),
inference(avatar_component_clause,[],[f1430]) ).
fof(f1455,plain,
spl1_131,
inference(avatar_split_clause,[],[f412,f1453]) ).
fof(f1453,plain,
( spl1_131
<=> ! [X2,X0,X1] : times_times_int(times_times_int(X0,X1),X2) = times_times_int(X0,times_times_int(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_131])]) ).
fof(f412,plain,
! [X2,X0,X1] : times_times_int(times_times_int(X0,X1),X2) = times_times_int(X0,times_times_int(X1,X2)),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0,X1,X2] : times_times_int(times_times_int(X0,X1),X2) = times_times_int(X0,times_times_int(X1,X2)),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X15,X16,X17] : times_times_int(times_times_int(X15,X16),X17) = times_times_int(X15,times_times_int(X16,X17)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_30_zmult__assoc) ).
fof(f1451,plain,
spl1_130,
inference(avatar_split_clause,[],[f411,f1449]) ).
fof(f1449,plain,
( spl1_130
<=> ! [X2,X0,X1] : plus_plus_int(X0,plus_plus_int(X1,X2)) = plus_plus_int(plus_plus_int(X0,X1),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_130])]) ).
fof(f411,plain,
! [X2,X0,X1] : plus_plus_int(X0,plus_plus_int(X1,X2)) = plus_plus_int(plus_plus_int(X0,X1),X2),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0,X1,X2] : plus_plus_int(X0,plus_plus_int(X1,X2)) = plus_plus_int(plus_plus_int(X0,X1),X2),
inference(rectify,[],[f103]) ).
fof(f103,axiom,
! [X15,X16,X17] : plus_plus_int(plus_plus_int(X15,X16),X17) = plus_plus_int(X15,plus_plus_int(X16,X17)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_102_zadd__assoc) ).
fof(f1447,plain,
spl1_129,
inference(avatar_split_clause,[],[f410,f1445]) ).
fof(f1445,plain,
( spl1_129
<=> ! [X2,X0,X1] : plus_plus_int(X0,plus_plus_int(X1,X2)) = plus_plus_int(X1,plus_plus_int(X0,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_129])]) ).
fof(f410,plain,
! [X2,X0,X1] : plus_plus_int(X0,plus_plus_int(X1,X2)) = plus_plus_int(X1,plus_plus_int(X0,X2)),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0,X1,X2] : plus_plus_int(X0,plus_plus_int(X1,X2)) = plus_plus_int(X1,plus_plus_int(X0,X2)),
inference(rectify,[],[f104]) ).
fof(f104,axiom,
! [X0,X1,X11] : plus_plus_int(X0,plus_plus_int(X1,X11)) = plus_plus_int(X1,plus_plus_int(X0,X11)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_103_zadd__left__commute) ).
fof(f1442,plain,
spl1_128,
inference(avatar_split_clause,[],[f365,f1440]) ).
fof(f365,plain,
! [X0,X1] :
( ord_less_nat(number_number_of_nat(X0),number_number_of_nat(X1))
| ~ ord_less_int(X0,X1)
| ~ ord_less_int(pls,X1) ),
inference(cnf_transformation,[],[f242]) ).
fof(f242,plain,
! [X0,X1] :
( ( ord_less_nat(number_number_of_nat(X0),number_number_of_nat(X1))
| ~ ord_less_int(X0,X1)
| ( ~ ord_less_int(pls,X1)
& ord_less_int(X0,X1) ) )
& ( ( ord_less_int(X0,X1)
& ( ord_less_int(pls,X1)
| ~ ord_less_int(X0,X1) ) )
| ~ ord_less_nat(number_number_of_nat(X0),number_number_of_nat(X1)) ) ),
inference(flattening,[],[f241]) ).
fof(f241,plain,
! [X0,X1] :
( ( ord_less_nat(number_number_of_nat(X0),number_number_of_nat(X1))
| ~ ord_less_int(X0,X1)
| ( ~ ord_less_int(pls,X1)
& ord_less_int(X0,X1) ) )
& ( ( ord_less_int(X0,X1)
& ( ord_less_int(pls,X1)
| ~ ord_less_int(X0,X1) ) )
| ~ ord_less_nat(number_number_of_nat(X0),number_number_of_nat(X1)) ) ),
inference(nnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0,X1] :
( ord_less_nat(number_number_of_nat(X0),number_number_of_nat(X1))
<=> ( ord_less_int(X0,X1)
& ( ord_less_int(pls,X1)
| ~ ord_less_int(X0,X1) ) ) ),
inference(ennf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1] :
( ord_less_nat(number_number_of_nat(X0),number_number_of_nat(X1))
<=> ( ord_less_int(X0,X1)
& ( ord_less_int(X0,X1)
=> ord_less_int(pls,X1) ) ) ),
inference(rectify,[],[f81]) ).
fof(f81,axiom,
! [X24,X39] :
( ord_less_nat(number_number_of_nat(X24),number_number_of_nat(X39))
<=> ( ord_less_int(X24,X39)
& ( ord_less_int(X24,X39)
=> ord_less_int(pls,X39) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_80_less__nat__number__of) ).
fof(f1437,plain,
spl1_127,
inference(avatar_split_clause,[],[f362,f1435]) ).
fof(f362,plain,
! [X0,X1] :
( ord_less_int(pls,X1)
| ~ ord_less_int(X0,X1)
| ~ ord_less_nat(number_number_of_nat(X0),number_number_of_nat(X1)) ),
inference(cnf_transformation,[],[f242]) ).
fof(f1432,plain,
spl1_126,
inference(avatar_split_clause,[],[f336,f1430]) ).
fof(f336,plain,
! [X0,X1] :
( number_number_of_nat(X0) = plus_plus_nat(number_number_of_nat(X1),number_number_of_nat(X0))
| ~ ord_less_int(X1,pls) ),
inference(cnf_transformation,[],[f198]) ).
fof(f1426,plain,
( spl1_125
| ~ spl1_10
| ~ spl1_15
| ~ spl1_44
| ~ spl1_45
| ~ spl1_123 ),
inference(avatar_split_clause,[],[f1416,f1409,f747,f743,f577,f552,f1423]) ).
fof(f1423,plain,
( spl1_125
<=> ord_less_int(zero_zero_int,plus_plus_int(one_one_int,times_times_int(m,bit0(bit0(bit1(zero_zero_int)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_125])]) ).
fof(f1409,plain,
( spl1_123
<=> ord_less_int(zero_zero_int,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_123])]) ).
fof(f1416,plain,
( ord_less_int(zero_zero_int,plus_plus_int(one_one_int,times_times_int(m,bit0(bit0(bit1(zero_zero_int))))))
| ~ spl1_10
| ~ spl1_15
| ~ spl1_44
| ~ spl1_45
| ~ spl1_123 ),
inference(forward_demodulation,[],[f1415,f579]) ).
fof(f1415,plain,
( ord_less_int(zero_zero_int,plus_plus_int(one_one_int,times_times_int(m,bit0(bit0(bit1(pls))))))
| ~ spl1_10
| ~ spl1_44
| ~ spl1_45
| ~ spl1_123 ),
inference(forward_demodulation,[],[f1414,f553]) ).
fof(f1414,plain,
( ord_less_int(zero_zero_int,plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(bit0(bit0(bit1(pls)))))))
| ~ spl1_44
| ~ spl1_45
| ~ spl1_123 ),
inference(forward_demodulation,[],[f1413,f748]) ).
fof(f1413,plain,
( ord_less_int(zero_zero_int,plus_plus_int(one_one_int,times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m)))
| ~ spl1_44
| ~ spl1_123 ),
inference(forward_demodulation,[],[f1411,f744]) ).
fof(f1411,plain,
( ord_less_int(zero_zero_int,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))
| ~ spl1_123 ),
inference(avatar_component_clause,[],[f1409]) ).
fof(f1421,plain,
( spl1_124
| ~ spl1_6
| ~ spl1_69 ),
inference(avatar_split_clause,[],[f926,f862,f534,f1418]) ).
fof(f1418,plain,
( spl1_124
<=> ord_less_eq_int(bit1(zero_zero_int),one_one_int) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_124])]) ).
fof(f534,plain,
( spl1_6
<=> ! [X0] : ord_less_eq_int(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
fof(f862,plain,
( spl1_69
<=> ! [X0] :
( ~ ord_less_eq_int(X0,bit1(zero_zero_int))
| ord_less_eq_int(X0,one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_69])]) ).
fof(f926,plain,
( ord_less_eq_int(bit1(zero_zero_int),one_one_int)
| ~ spl1_6
| ~ spl1_69 ),
inference(resolution,[],[f863,f535]) ).
fof(f535,plain,
( ! [X0] : ord_less_eq_int(X0,X0)
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f863,plain,
( ! [X0] :
( ~ ord_less_eq_int(X0,bit1(zero_zero_int))
| ord_less_eq_int(X0,one_one_int) )
| ~ spl1_69 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f1412,plain,
spl1_123,
inference(avatar_split_clause,[],[f283,f1409]) ).
fof(f283,plain,
ord_less_int(zero_zero_int,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
ord_less_int(zero_zero_int,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_p0) ).
fof(f1406,plain,
( spl1_122
| ~ spl1_10
| ~ spl1_15
| ~ spl1_44
| ~ spl1_45
| ~ spl1_121 ),
inference(avatar_split_clause,[],[f1401,f1394,f747,f743,f577,f552,f1403]) ).
fof(f1403,plain,
( spl1_122
<=> ord_less_int(t,plus_plus_int(one_one_int,times_times_int(m,bit0(bit0(bit1(zero_zero_int)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_122])]) ).
fof(f1394,plain,
( spl1_121
<=> ord_less_int(t,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_121])]) ).
fof(f1401,plain,
( ord_less_int(t,plus_plus_int(one_one_int,times_times_int(m,bit0(bit0(bit1(zero_zero_int))))))
| ~ spl1_10
| ~ spl1_15
| ~ spl1_44
| ~ spl1_45
| ~ spl1_121 ),
inference(forward_demodulation,[],[f1400,f579]) ).
fof(f1400,plain,
( ord_less_int(t,plus_plus_int(one_one_int,times_times_int(m,bit0(bit0(bit1(pls))))))
| ~ spl1_10
| ~ spl1_44
| ~ spl1_45
| ~ spl1_121 ),
inference(forward_demodulation,[],[f1399,f553]) ).
fof(f1399,plain,
( ord_less_int(t,plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(bit0(bit0(bit1(pls)))))))
| ~ spl1_44
| ~ spl1_45
| ~ spl1_121 ),
inference(forward_demodulation,[],[f1398,f748]) ).
fof(f1398,plain,
( ord_less_int(t,plus_plus_int(one_one_int,times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m)))
| ~ spl1_44
| ~ spl1_121 ),
inference(forward_demodulation,[],[f1396,f744]) ).
fof(f1396,plain,
( ord_less_int(t,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))
| ~ spl1_121 ),
inference(avatar_component_clause,[],[f1394]) ).
fof(f1397,plain,
spl1_121,
inference(avatar_split_clause,[],[f282,f1394]) ).
fof(f282,plain,
ord_less_int(t,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),
inference(cnf_transformation,[],[f20]) ).
fof(f20,axiom,
ord_less_int(t,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_t__l__p) ).
fof(f1360,plain,
spl1_120,
inference(avatar_split_clause,[],[f460,f1358]) ).
fof(f1358,plain,
( spl1_120
<=> ! [X0] :
( ord_less_int(zero_zero_int,power_power_int(X0,plus_plus_nat(one_one_nat,one_one_nat)))
| zero_zero_int = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_120])]) ).
fof(f460,plain,
! [X0] :
( ord_less_int(zero_zero_int,power_power_int(X0,plus_plus_nat(one_one_nat,one_one_nat)))
| zero_zero_int = X0 ),
inference(forward_demodulation,[],[f326,f281]) ).
fof(f326,plain,
! [X0] :
( ord_less_int(zero_zero_int,power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))))
| zero_zero_int = X0 ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0] :
( ( ord_less_int(zero_zero_int,power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))))
| zero_zero_int = X0 )
& ( zero_zero_int != X0
| ~ ord_less_int(zero_zero_int,power_power_int(X0,number_number_of_nat(bit0(bit1(pls))))) ) ),
inference(nnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ord_less_int(zero_zero_int,power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))))
<=> zero_zero_int != X0 ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X5] :
( ord_less_int(zero_zero_int,power_power_int(X5,number_number_of_nat(bit0(bit1(pls)))))
<=> zero_zero_int != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_zero__less__power2) ).
fof(f1356,plain,
( spl1_119
| ~ spl1_6
| ~ spl1_67 ),
inference(avatar_split_clause,[],[f917,f854,f534,f1353]) ).
fof(f854,plain,
( spl1_67
<=> ! [X0] :
( ~ ord_less_eq_int(bit1(zero_zero_int),X0)
| ord_less_eq_int(one_one_int,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_67])]) ).
fof(f917,plain,
( ord_less_eq_int(one_one_int,bit1(zero_zero_int))
| ~ spl1_6
| ~ spl1_67 ),
inference(resolution,[],[f855,f535]) ).
fof(f855,plain,
( ! [X0] :
( ~ ord_less_eq_int(bit1(zero_zero_int),X0)
| ord_less_eq_int(one_one_int,X0) )
| ~ spl1_67 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f1351,plain,
spl1_118,
inference(avatar_split_clause,[],[f459,f1349]) ).
fof(f1349,plain,
( spl1_118
<=> ! [X0] :
( zero_zero_int != power_power_int(X0,plus_plus_nat(one_one_nat,one_one_nat))
| zero_zero_int = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_118])]) ).
fof(f459,plain,
! [X0] :
( zero_zero_int != power_power_int(X0,plus_plus_nat(one_one_nat,one_one_nat))
| zero_zero_int = X0 ),
inference(forward_demodulation,[],[f323,f281]) ).
fof(f323,plain,
! [X0] :
( zero_zero_int = X0
| zero_zero_int != power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0] :
( ( zero_zero_int = power_power_int(X0,number_number_of_nat(bit0(bit1(pls))))
| zero_zero_int != X0 )
& ( zero_zero_int = X0
| zero_zero_int != power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))) ) ),
inference(nnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( zero_zero_int = power_power_int(X0,number_number_of_nat(bit0(bit1(pls))))
<=> zero_zero_int = X0 ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X5] :
( zero_zero_int = power_power_int(X5,number_number_of_nat(bit0(bit1(pls))))
<=> zero_zero_int = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_zero__eq__power2) ).
fof(f1347,plain,
spl1_117,
inference(avatar_split_clause,[],[f421,f1345]) ).
fof(f1345,plain,
( spl1_117
<=> ! [X2,X0,X1] :
( ord_less_eq_int(plus_plus_int(X0,X1),plus_plus_int(X0,X2))
| ~ ord_less_eq_int(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_117])]) ).
fof(f421,plain,
! [X2,X0,X1] :
( ord_less_eq_int(plus_plus_int(X0,X1),plus_plus_int(X0,X2))
| ~ ord_less_eq_int(X1,X2) ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0,X1,X2] :
( ord_less_eq_int(plus_plus_int(X0,X1),plus_plus_int(X0,X2))
| ~ ord_less_eq_int(X1,X2) ),
inference(ennf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0,X1,X2] :
( ord_less_eq_int(X1,X2)
=> ord_less_eq_int(plus_plus_int(X0,X1),plus_plus_int(X0,X2)) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X10,X18,X19] :
( ord_less_eq_int(X18,X19)
=> ord_less_eq_int(plus_plus_int(X10,X18),plus_plus_int(X10,X19)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_40_zadd__left__mono) ).
fof(f1343,plain,
spl1_116,
inference(avatar_split_clause,[],[f361,f1341]) ).
fof(f1341,plain,
( spl1_116
<=> ! [X0,X1] :
( ord_less_eq_nat(number_number_of_nat(X0),number_number_of_nat(X1))
| ord_less_nat(number_number_of_nat(X1),number_number_of_nat(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_116])]) ).
fof(f361,plain,
! [X0,X1] :
( ord_less_eq_nat(number_number_of_nat(X0),number_number_of_nat(X1))
| ord_less_nat(number_number_of_nat(X1),number_number_of_nat(X0)) ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0,X1] :
( ( ord_less_eq_nat(number_number_of_nat(X0),number_number_of_nat(X1))
| ord_less_nat(number_number_of_nat(X1),number_number_of_nat(X0)) )
& ( ~ ord_less_nat(number_number_of_nat(X1),number_number_of_nat(X0))
| ~ ord_less_eq_nat(number_number_of_nat(X0),number_number_of_nat(X1)) ) ),
inference(nnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1] :
( ord_less_eq_nat(number_number_of_nat(X0),number_number_of_nat(X1))
<=> ~ ord_less_nat(number_number_of_nat(X1),number_number_of_nat(X0)) ),
inference(rectify,[],[f55]) ).
fof(f55,axiom,
! [X24,X23] :
( ord_less_eq_nat(number_number_of_nat(X24),number_number_of_nat(X23))
<=> ~ ord_less_nat(number_number_of_nat(X23),number_number_of_nat(X24)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_54_le__number__of__eq__not__less) ).
fof(f1339,plain,
spl1_115,
inference(avatar_split_clause,[],[f360,f1337]) ).
fof(f1337,plain,
( spl1_115
<=> ! [X0,X1] :
( ~ ord_less_nat(number_number_of_nat(X1),number_number_of_nat(X0))
| ~ ord_less_eq_nat(number_number_of_nat(X0),number_number_of_nat(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_115])]) ).
fof(f360,plain,
! [X0,X1] :
( ~ ord_less_nat(number_number_of_nat(X1),number_number_of_nat(X0))
| ~ ord_less_eq_nat(number_number_of_nat(X0),number_number_of_nat(X1)) ),
inference(cnf_transformation,[],[f240]) ).
fof(f1216,plain,
( spl1_114
| ~ spl1_15
| ~ spl1_44
| ~ spl1_105
| ~ spl1_113 ),
inference(avatar_split_clause,[],[f1212,f1208,f1165,f743,f577,f1214]) ).
fof(f1214,plain,
( spl1_114
<=> ! [X0] : plus_plus_int(one_one_int,X0) = number_number_of_int(plus_plus_int(X0,one_one_int)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_114])]) ).
fof(f1165,plain,
( spl1_105
<=> ! [X0] : plus_plus_int(X0,one_one_int) = plus_plus_int(X0,bit1(zero_zero_int)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_105])]) ).
fof(f1208,plain,
( spl1_113
<=> ! [X0] : number_number_of_int(plus_plus_int(bit1(pls),X0)) = plus_plus_int(one_one_int,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_113])]) ).
fof(f1212,plain,
( ! [X0] : plus_plus_int(one_one_int,X0) = number_number_of_int(plus_plus_int(X0,one_one_int))
| ~ spl1_15
| ~ spl1_44
| ~ spl1_105
| ~ spl1_113 ),
inference(forward_demodulation,[],[f1211,f1173]) ).
fof(f1173,plain,
( ! [X0] : plus_plus_int(X0,one_one_int) = plus_plus_int(bit1(zero_zero_int),X0)
| ~ spl1_44
| ~ spl1_105 ),
inference(superposition,[],[f1166,f744]) ).
fof(f1166,plain,
( ! [X0] : plus_plus_int(X0,one_one_int) = plus_plus_int(X0,bit1(zero_zero_int))
| ~ spl1_105 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f1211,plain,
( ! [X0] : plus_plus_int(one_one_int,X0) = number_number_of_int(plus_plus_int(bit1(zero_zero_int),X0))
| ~ spl1_15
| ~ spl1_113 ),
inference(forward_demodulation,[],[f1209,f579]) ).
fof(f1209,plain,
( ! [X0] : number_number_of_int(plus_plus_int(bit1(pls),X0)) = plus_plus_int(one_one_int,X0)
| ~ spl1_113 ),
inference(avatar_component_clause,[],[f1208]) ).
fof(f1210,plain,
spl1_113,
inference(avatar_split_clause,[],[f448,f1208]) ).
fof(f448,plain,
! [X0] : number_number_of_int(plus_plus_int(bit1(pls),X0)) = plus_plus_int(one_one_int,X0),
inference(forward_demodulation,[],[f294,f289]) ).
fof(f289,plain,
! [X0] : number_number_of_int(X0) = X0,
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] : number_number_of_int(X0) = X0,
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X10] : number_number_of_int(X10) = X10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_number__of__is__id) ).
fof(f294,plain,
! [X0] : plus_plus_int(one_one_int,number_number_of_int(X0)) = number_number_of_int(plus_plus_int(bit1(pls),X0)),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] : plus_plus_int(one_one_int,number_number_of_int(X0)) = number_number_of_int(plus_plus_int(bit1(pls),X0)),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X6] : plus_plus_int(one_one_int,number_number_of_int(X6)) = number_number_of_int(plus_plus_int(bit1(pls),X6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_17_add__special_I2_J) ).
fof(f1205,plain,
spl1_112,
inference(avatar_split_clause,[],[f435,f1202]) ).
fof(f1202,plain,
( spl1_112
<=> zero_zero_int = plus_plus_int(times_times_int(zero_zero_int,zero_zero_int),times_times_int(zero_zero_int,zero_zero_int)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_112])]) ).
fof(f435,plain,
zero_zero_int = plus_plus_int(times_times_int(zero_zero_int,zero_zero_int),times_times_int(zero_zero_int,zero_zero_int)),
inference(equality_resolution,[],[f434]) ).
fof(f434,plain,
! [X0] :
( zero_zero_int = plus_plus_int(times_times_int(X0,X0),times_times_int(zero_zero_int,zero_zero_int))
| zero_zero_int != X0 ),
inference(equality_resolution,[],[f400]) ).
fof(f400,plain,
! [X0,X1] :
( zero_zero_int = plus_plus_int(times_times_int(X0,X0),times_times_int(X1,X1))
| zero_zero_int != X1
| zero_zero_int != X0 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1200,plain,
spl1_111,
inference(avatar_split_clause,[],[f422,f1198]) ).
fof(f1198,plain,
( spl1_111
<=> ! [X2,X0,X1] :
( ord_less_eq_int(X1,X0)
| ~ ord_less_eq_int(X2,X0)
| ~ ord_less_eq_int(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_111])]) ).
fof(f422,plain,
! [X2,X0,X1] :
( ord_less_eq_int(X1,X0)
| ~ ord_less_eq_int(X2,X0)
| ~ ord_less_eq_int(X1,X2) ),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
! [X0,X1,X2] :
( ord_less_eq_int(X1,X0)
| ~ ord_less_eq_int(X2,X0)
| ~ ord_less_eq_int(X1,X2) ),
inference(flattening,[],[f212]) ).
fof(f212,plain,
! [X0,X1,X2] :
( ord_less_eq_int(X1,X0)
| ~ ord_less_eq_int(X2,X0)
| ~ ord_less_eq_int(X1,X2) ),
inference(ennf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0,X1,X2] :
( ord_less_eq_int(X1,X2)
=> ( ord_less_eq_int(X2,X0)
=> ord_less_eq_int(X1,X0) ) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X10,X18,X19] :
( ord_less_eq_int(X18,X19)
=> ( ord_less_eq_int(X19,X10)
=> ord_less_eq_int(X18,X10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_31_zle__trans) ).
fof(f1196,plain,
spl1_110,
inference(avatar_split_clause,[],[f349,f1194]) ).
fof(f1194,plain,
( spl1_110
<=> ! [X0,X1] :
( ord_less_int(X0,X1)
| X0 = X1
| ~ ord_less_eq_int(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_110])]) ).
fof(f349,plain,
! [X0,X1] :
( ord_less_int(X0,X1)
| X0 = X1
| ~ ord_less_eq_int(X0,X1) ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0,X1] :
( ( ord_less_int(X0,X1)
| X0 = X1
| ~ ord_less_eq_int(X0,X1) )
& ( ( X0 != X1
& ord_less_eq_int(X0,X1) )
| ~ ord_less_int(X0,X1) ) ),
inference(flattening,[],[f233]) ).
fof(f233,plain,
! [X0,X1] :
( ( ord_less_int(X0,X1)
| X0 = X1
| ~ ord_less_eq_int(X0,X1) )
& ( ( X0 != X1
& ord_less_eq_int(X0,X1) )
| ~ ord_less_int(X0,X1) ) ),
inference(nnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0,X1] :
( ord_less_int(X0,X1)
<=> ( X0 != X1
& ord_less_eq_int(X0,X1) ) ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X22,X23] :
( ord_less_int(X22,X23)
<=> ( X22 != X23
& ord_less_eq_int(X22,X23) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_39_zless__le) ).
fof(f1192,plain,
spl1_109,
inference(avatar_split_clause,[],[f341,f1190]) ).
fof(f1190,plain,
( spl1_109
<=> ! [X0,X1] :
( X0 = X1
| ~ ord_less_eq_int(X1,X0)
| ~ ord_less_eq_int(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_109])]) ).
fof(f341,plain,
! [X0,X1] :
( X0 = X1
| ~ ord_less_eq_int(X1,X0)
| ~ ord_less_eq_int(X0,X1) ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0,X1] :
( X0 = X1
| ~ ord_less_eq_int(X1,X0)
| ~ ord_less_eq_int(X0,X1) ),
inference(flattening,[],[f199]) ).
fof(f199,plain,
! [X0,X1] :
( X0 = X1
| ~ ord_less_eq_int(X1,X0)
| ~ ord_less_eq_int(X0,X1) ),
inference(ennf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( ord_less_eq_int(X0,X1)
=> ( ord_less_eq_int(X1,X0)
=> X0 = X1 ) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X11,X9] :
( ord_less_eq_int(X11,X9)
=> ( ord_less_eq_int(X9,X11)
=> X9 = X11 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32_zle__antisym) ).
fof(f1188,plain,
spl1_108,
inference(avatar_split_clause,[],[f340,f1186]) ).
fof(f1186,plain,
( spl1_108
<=> ! [X0,X1] :
( ord_less_int(X1,X0)
| X0 = X1
| ord_less_int(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_108])]) ).
fof(f340,plain,
! [X0,X1] :
( ord_less_int(X1,X0)
| X0 = X1
| ord_less_int(X0,X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,axiom,
! [X0,X1] :
( ord_less_int(X1,X0)
| X0 = X1
| ord_less_int(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_96_zless__linear) ).
fof(f1184,plain,
spl1_107,
inference(avatar_split_clause,[],[f330,f1182]) ).
fof(f1182,plain,
( spl1_107
<=> ! [X0,X1] : ord_less_eq_int(zero_zero_int,plus_plus_int(times_times_int(X0,X0),times_times_int(X1,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_107])]) ).
fof(f330,plain,
! [X0,X1] : ord_less_eq_int(zero_zero_int,plus_plus_int(times_times_int(X0,X0),times_times_int(X1,X1))),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X1] : ord_less_eq_int(zero_zero_int,plus_plus_int(times_times_int(X0,X0),times_times_int(X1,X1))),
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X34,X35] : ord_less_eq_int(zero_zero_int,plus_plus_int(times_times_int(X34,X34),times_times_int(X35,X35))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_49_sum__squares__ge__zero) ).
fof(f1180,plain,
spl1_106,
inference(avatar_split_clause,[],[f329,f1178]) ).
fof(f1178,plain,
( spl1_106
<=> ! [X0,X1] : times_times_int(bit0(X0),X1) = bit0(times_times_int(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_106])]) ).
fof(f329,plain,
! [X0,X1] : times_times_int(bit0(X0),X1) = bit0(times_times_int(X0,X1)),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] : times_times_int(bit0(X0),X1) = bit0(times_times_int(X0,X1)),
inference(rectify,[],[f68]) ).
fof(f68,axiom,
! [X10,X38] : times_times_int(bit0(X10),X38) = bit0(times_times_int(X10,X38)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_67_mult__Bit0) ).
fof(f1167,plain,
( spl1_105
| ~ spl1_15
| ~ spl1_102 ),
inference(avatar_split_clause,[],[f1079,f1076,f577,f1165]) ).
fof(f1076,plain,
( spl1_102
<=> ! [X0] : plus_plus_int(X0,bit1(pls)) = plus_plus_int(X0,one_one_int) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_102])]) ).
fof(f1079,plain,
( ! [X0] : plus_plus_int(X0,one_one_int) = plus_plus_int(X0,bit1(zero_zero_int))
| ~ spl1_15
| ~ spl1_102 ),
inference(forward_demodulation,[],[f1077,f579]) ).
fof(f1077,plain,
( ! [X0] : plus_plus_int(X0,bit1(pls)) = plus_plus_int(X0,one_one_int)
| ~ spl1_102 ),
inference(avatar_component_clause,[],[f1076]) ).
fof(f1098,plain,
( ~ spl1_104
| ~ spl1_28
| ~ spl1_57 ),
inference(avatar_split_clause,[],[f885,f800,f638,f1095]) ).
fof(f1095,plain,
( spl1_104
<=> ord_less_int(zero_zero_int,t) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_104])]) ).
fof(f885,plain,
( ~ ord_less_int(zero_zero_int,t)
| ~ spl1_28
| ~ spl1_57 ),
inference(resolution,[],[f802,f639]) ).
fof(f1084,plain,
( spl1_103
| ~ spl1_15
| ~ spl1_81 ),
inference(avatar_split_clause,[],[f993,f989,f577,f1081]) ).
fof(f1081,plain,
( spl1_103
<=> plus_plus_nat(one_one_nat,one_one_nat) = number_number_of_nat(bit0(bit1(zero_zero_int))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_103])]) ).
fof(f989,plain,
( spl1_81
<=> number_number_of_nat(bit0(bit1(pls))) = plus_plus_nat(one_one_nat,one_one_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_81])]) ).
fof(f993,plain,
( plus_plus_nat(one_one_nat,one_one_nat) = number_number_of_nat(bit0(bit1(zero_zero_int)))
| ~ spl1_15
| ~ spl1_81 ),
inference(forward_demodulation,[],[f991,f579]) ).
fof(f991,plain,
( number_number_of_nat(bit0(bit1(pls))) = plus_plus_nat(one_one_nat,one_one_nat)
| ~ spl1_81 ),
inference(avatar_component_clause,[],[f989]) ).
fof(f1078,plain,
spl1_102,
inference(avatar_split_clause,[],[f450,f1076]) ).
fof(f450,plain,
! [X0] : plus_plus_int(X0,bit1(pls)) = plus_plus_int(X0,one_one_int),
inference(forward_demodulation,[],[f449,f289]) ).
fof(f449,plain,
! [X0] : plus_plus_int(number_number_of_int(X0),one_one_int) = plus_plus_int(X0,bit1(pls)),
inference(forward_demodulation,[],[f295,f289]) ).
fof(f295,plain,
! [X0] : plus_plus_int(number_number_of_int(X0),one_one_int) = number_number_of_int(plus_plus_int(X0,bit1(pls))),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] : plus_plus_int(number_number_of_int(X0),one_one_int) = number_number_of_int(plus_plus_int(X0,bit1(pls))),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X7] : plus_plus_int(number_number_of_int(X7),one_one_int) = number_number_of_int(plus_plus_int(X7,bit1(pls))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_add__special_I3_J) ).
fof(f1074,plain,
spl1_101,
inference(avatar_split_clause,[],[f393,f1072]) ).
fof(f1072,plain,
( spl1_101
<=> ! [X0,X1] :
( ord_less_int(bit0(X0),bit1(X1))
| ~ ord_less_eq_int(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_101])]) ).
fof(f393,plain,
! [X0,X1] :
( ord_less_int(bit0(X0),bit1(X1))
| ~ ord_less_eq_int(X0,X1) ),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
! [X0,X1] :
( ( ord_less_int(bit0(X0),bit1(X1))
| ~ ord_less_eq_int(X0,X1) )
& ( ord_less_eq_int(X0,X1)
| ~ ord_less_int(bit0(X0),bit1(X1)) ) ),
inference(nnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0,X1] :
( ord_less_int(bit0(X0),bit1(X1))
<=> ord_less_eq_int(X0,X1) ),
inference(rectify,[],[f80]) ).
fof(f80,axiom,
! [X13,X14] :
( ord_less_int(bit0(X13),bit1(X14))
<=> ord_less_eq_int(X13,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_79_rel__simps_I15_J) ).
fof(f1070,plain,
spl1_100,
inference(avatar_split_clause,[],[f392,f1068]) ).
fof(f1068,plain,
( spl1_100
<=> ! [X0,X1] :
( ord_less_eq_int(X0,X1)
| ~ ord_less_int(bit0(X0),bit1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_100])]) ).
fof(f392,plain,
! [X0,X1] :
( ord_less_eq_int(X0,X1)
| ~ ord_less_int(bit0(X0),bit1(X1)) ),
inference(cnf_transformation,[],[f256]) ).
fof(f1066,plain,
spl1_99,
inference(avatar_split_clause,[],[f391,f1064]) ).
fof(f1064,plain,
( spl1_99
<=> ! [X0,X1] :
( ord_less_int(X0,plus_plus_int(X1,one_one_int))
| ~ ord_less_eq_int(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_99])]) ).
fof(f391,plain,
! [X0,X1] :
( ord_less_int(X0,plus_plus_int(X1,one_one_int))
| ~ ord_less_eq_int(X0,X1) ),
inference(cnf_transformation,[],[f255]) ).
fof(f255,plain,
! [X0,X1] :
( ( ord_less_int(X0,plus_plus_int(X1,one_one_int))
| ~ ord_less_eq_int(X0,X1) )
& ( ord_less_eq_int(X0,X1)
| ~ ord_less_int(X0,plus_plus_int(X1,one_one_int)) ) ),
inference(nnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0,X1] :
( ord_less_int(X0,plus_plus_int(X1,one_one_int))
<=> ord_less_eq_int(X0,X1) ),
inference(rectify,[],[f87]) ).
fof(f87,axiom,
! [X23,X22] :
( ord_less_int(X23,plus_plus_int(X22,one_one_int))
<=> ord_less_eq_int(X23,X22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_zle__add1__eq__le) ).
fof(f1062,plain,
spl1_98,
inference(avatar_split_clause,[],[f390,f1060]) ).
fof(f1060,plain,
( spl1_98
<=> ! [X0,X1] :
( ord_less_eq_int(X0,X1)
| ~ ord_less_int(X0,plus_plus_int(X1,one_one_int)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_98])]) ).
fof(f390,plain,
! [X0,X1] :
( ord_less_eq_int(X0,X1)
| ~ ord_less_int(X0,plus_plus_int(X1,one_one_int)) ),
inference(cnf_transformation,[],[f255]) ).
fof(f1058,plain,
spl1_97,
inference(avatar_split_clause,[],[f388,f1056]) ).
fof(f1056,plain,
( spl1_97
<=> ! [X0,X1] :
( ord_less_int(X0,X1)
| ~ ord_less_eq_int(plus_plus_int(X0,one_one_int),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_97])]) ).
fof(f388,plain,
! [X0,X1] :
( ord_less_int(X0,X1)
| ~ ord_less_eq_int(plus_plus_int(X0,one_one_int),X1) ),
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
! [X0,X1] :
( ( ord_less_eq_int(plus_plus_int(X0,one_one_int),X1)
| ~ ord_less_int(X0,X1) )
& ( ord_less_int(X0,X1)
| ~ ord_less_eq_int(plus_plus_int(X0,one_one_int),X1) ) ),
inference(nnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0,X1] :
( ord_less_eq_int(plus_plus_int(X0,one_one_int),X1)
<=> ord_less_int(X0,X1) ),
inference(rectify,[],[f86]) ).
fof(f86,axiom,
! [X23,X22] :
( ord_less_eq_int(plus_plus_int(X23,one_one_int),X22)
<=> ord_less_int(X23,X22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_85_add1__zle__eq) ).
fof(f1054,plain,
spl1_96,
inference(avatar_split_clause,[],[f379,f1052]) ).
fof(f1052,plain,
( spl1_96
<=> ! [X0,X1] :
( ord_less_eq_int(bit0(X0),bit0(X1))
| ~ ord_less_eq_int(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_96])]) ).
fof(f379,plain,
! [X0,X1] :
( ord_less_eq_int(bit0(X0),bit0(X1))
| ~ ord_less_eq_int(X0,X1) ),
inference(cnf_transformation,[],[f249]) ).
fof(f249,plain,
! [X0,X1] :
( ( ord_less_eq_int(bit0(X0),bit0(X1))
| ~ ord_less_eq_int(X0,X1) )
& ( ord_less_eq_int(X0,X1)
| ~ ord_less_eq_int(bit0(X0),bit0(X1)) ) ),
inference(nnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0,X1] :
( ord_less_eq_int(bit0(X0),bit0(X1))
<=> ord_less_eq_int(X0,X1) ),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X20,X21] :
( ord_less_eq_int(bit0(X20),bit0(X21))
<=> ord_less_eq_int(X20,X21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_37_less__eq__int__code_I13_J) ).
fof(f1050,plain,
spl1_95,
inference(avatar_split_clause,[],[f378,f1048]) ).
fof(f1048,plain,
( spl1_95
<=> ! [X0,X1] :
( ord_less_eq_int(X0,X1)
| ~ ord_less_eq_int(bit0(X0),bit0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_95])]) ).
fof(f378,plain,
! [X0,X1] :
( ord_less_eq_int(X0,X1)
| ~ ord_less_eq_int(bit0(X0),bit0(X1)) ),
inference(cnf_transformation,[],[f249]) ).
fof(f1046,plain,
spl1_94,
inference(avatar_split_clause,[],[f375,f1044]) ).
fof(f1044,plain,
( spl1_94
<=> ! [X0,X1] :
( ord_less_eq_int(bit0(X0),bit1(X1))
| ~ ord_less_eq_int(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_94])]) ).
fof(f375,plain,
! [X0,X1] :
( ord_less_eq_int(bit0(X0),bit1(X1))
| ~ ord_less_eq_int(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0,X1] :
( ( ord_less_eq_int(bit0(X0),bit1(X1))
| ~ ord_less_eq_int(X0,X1) )
& ( ord_less_eq_int(X0,X1)
| ~ ord_less_eq_int(bit0(X0),bit1(X1)) ) ),
inference(nnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0,X1] :
( ord_less_eq_int(bit0(X0),bit1(X1))
<=> ord_less_eq_int(X0,X1) ),
inference(rectify,[],[f58]) ).
fof(f58,axiom,
! [X13,X14] :
( ord_less_eq_int(bit0(X13),bit1(X14))
<=> ord_less_eq_int(X13,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_57_rel__simps_I32_J) ).
fof(f1042,plain,
spl1_93,
inference(avatar_split_clause,[],[f374,f1040]) ).
fof(f1040,plain,
( spl1_93
<=> ! [X0,X1] :
( ord_less_eq_int(X0,X1)
| ~ ord_less_eq_int(bit0(X0),bit1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_93])]) ).
fof(f374,plain,
! [X0,X1] :
( ord_less_eq_int(X0,X1)
| ~ ord_less_eq_int(bit0(X0),bit1(X1)) ),
inference(cnf_transformation,[],[f247]) ).
fof(f1038,plain,
spl1_92,
inference(avatar_split_clause,[],[f371,f1036]) ).
fof(f1036,plain,
( spl1_92
<=> ! [X0,X1] :
( ord_less_eq_int(bit1(X0),bit0(X1))
| ~ ord_less_int(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_92])]) ).
fof(f371,plain,
! [X0,X1] :
( ord_less_eq_int(bit1(X0),bit0(X1))
| ~ ord_less_int(X0,X1) ),
inference(cnf_transformation,[],[f245]) ).
fof(f245,plain,
! [X0,X1] :
( ( ord_less_eq_int(bit1(X0),bit0(X1))
| ~ ord_less_int(X0,X1) )
& ( ord_less_int(X0,X1)
| ~ ord_less_eq_int(bit1(X0),bit0(X1)) ) ),
inference(nnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0,X1] :
( ord_less_eq_int(bit1(X0),bit0(X1))
<=> ord_less_int(X0,X1) ),
inference(rectify,[],[f78]) ).
fof(f78,axiom,
! [X13,X14] :
( ord_less_eq_int(bit1(X13),bit0(X14))
<=> ord_less_int(X13,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_77_rel__simps_I33_J) ).
fof(f1034,plain,
spl1_91,
inference(avatar_split_clause,[],[f370,f1032]) ).
fof(f1032,plain,
( spl1_91
<=> ! [X0,X1] :
( ord_less_int(X0,X1)
| ~ ord_less_eq_int(bit1(X0),bit0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_91])]) ).
fof(f370,plain,
! [X0,X1] :
( ord_less_int(X0,X1)
| ~ ord_less_eq_int(bit1(X0),bit0(X1)) ),
inference(cnf_transformation,[],[f245]) ).
fof(f1030,plain,
spl1_90,
inference(avatar_split_clause,[],[f367,f1028]) ).
fof(f1028,plain,
( spl1_90
<=> ! [X0,X1] :
( ord_less_eq_int(bit1(X0),bit1(X1))
| ~ ord_less_eq_int(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_90])]) ).
fof(f367,plain,
! [X0,X1] :
( ord_less_eq_int(bit1(X0),bit1(X1))
| ~ ord_less_eq_int(X0,X1) ),
inference(cnf_transformation,[],[f243]) ).
fof(f243,plain,
! [X0,X1] :
( ( ord_less_eq_int(bit1(X0),bit1(X1))
| ~ ord_less_eq_int(X0,X1) )
& ( ord_less_eq_int(X0,X1)
| ~ ord_less_eq_int(bit1(X0),bit1(X1)) ) ),
inference(nnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0,X1] :
( ord_less_eq_int(bit1(X0),bit1(X1))
<=> ord_less_eq_int(X0,X1) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X20,X21] :
( ord_less_eq_int(bit1(X20),bit1(X21))
<=> ord_less_eq_int(X20,X21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_34_less__eq__int__code_I16_J) ).
fof(f1026,plain,
spl1_89,
inference(avatar_split_clause,[],[f366,f1024]) ).
fof(f1024,plain,
( spl1_89
<=> ! [X0,X1] :
( ord_less_eq_int(X0,X1)
| ~ ord_less_eq_int(bit1(X0),bit1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_89])]) ).
fof(f366,plain,
! [X0,X1] :
( ord_less_eq_int(X0,X1)
| ~ ord_less_eq_int(bit1(X0),bit1(X1)) ),
inference(cnf_transformation,[],[f243]) ).
fof(f1022,plain,
spl1_88,
inference(avatar_split_clause,[],[f363,f1020]) ).
fof(f1020,plain,
( spl1_88
<=> ! [X0,X1] :
( ord_less_int(X0,X1)
| ~ ord_less_nat(number_number_of_nat(X0),number_number_of_nat(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_88])]) ).
fof(f363,plain,
! [X0,X1] :
( ord_less_int(X0,X1)
| ~ ord_less_nat(number_number_of_nat(X0),number_number_of_nat(X1)) ),
inference(cnf_transformation,[],[f242]) ).
fof(f1018,plain,
spl1_87,
inference(avatar_split_clause,[],[f358,f1016]) ).
fof(f1016,plain,
( spl1_87
<=> ! [X0,X1] :
( X0 = X1
| number_number_of_int(X0) != number_number_of_int(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_87])]) ).
fof(f358,plain,
! [X0,X1] :
( X0 = X1
| number_number_of_int(X0) != number_number_of_int(X1) ),
inference(cnf_transformation,[],[f239]) ).
fof(f239,plain,
! [X0,X1] :
( ( number_number_of_int(X0) = number_number_of_int(X1)
| X0 != X1 )
& ( X0 = X1
| number_number_of_int(X0) != number_number_of_int(X1) ) ),
inference(nnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1] :
( number_number_of_int(X0) = number_number_of_int(X1)
<=> X0 = X1 ),
inference(rectify,[],[f92]) ).
fof(f92,axiom,
! [X2,X3] :
( number_number_of_int(X2) = number_number_of_int(X3)
<=> X2 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_91_eq__number__of) ).
fof(f1014,plain,
spl1_86,
inference(avatar_split_clause,[],[f356,f1012]) ).
fof(f1012,plain,
( spl1_86
<=> ! [X0,X1] :
( X0 = X1
| bit0(X0) != bit0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_86])]) ).
fof(f356,plain,
! [X0,X1] :
( X0 = X1
| bit0(X0) != bit0(X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0,X1] :
( ( bit0(X0) = bit0(X1)
| X0 != X1 )
& ( X0 = X1
| bit0(X0) != bit0(X1) ) ),
inference(nnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0,X1] :
( bit0(X0) = bit0(X1)
<=> X0 = X1 ),
inference(rectify,[],[f96]) ).
fof(f96,axiom,
! [X13,X14] :
( bit0(X13) = bit0(X14)
<=> X13 = X14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_95_rel__simps_I48_J) ).
fof(f1010,plain,
( ~ spl1_85
| ~ spl1_47
| ~ spl1_78 ),
inference(avatar_split_clause,[],[f975,f971,f756,f1007]) ).
fof(f1007,plain,
( spl1_85
<=> ord_less_int(one_one_int,zero_zero_int) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_85])]) ).
fof(f756,plain,
( spl1_47
<=> ! [X0] : ~ ord_less_int(power_power_int(X0,plus_plus_nat(one_one_nat,one_one_nat)),zero_zero_int) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_47])]) ).
fof(f971,plain,
( spl1_78
<=> one_one_int = power_power_int(one_one_int,plus_plus_nat(one_one_nat,one_one_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_78])]) ).
fof(f975,plain,
( ~ ord_less_int(one_one_int,zero_zero_int)
| ~ spl1_47
| ~ spl1_78 ),
inference(superposition,[],[f757,f973]) ).
fof(f973,plain,
( one_one_int = power_power_int(one_one_int,plus_plus_nat(one_one_nat,one_one_nat))
| ~ spl1_78 ),
inference(avatar_component_clause,[],[f971]) ).
fof(f757,plain,
( ! [X0] : ~ ord_less_int(power_power_int(X0,plus_plus_nat(one_one_nat,one_one_nat)),zero_zero_int)
| ~ spl1_47 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f1005,plain,
spl1_84,
inference(avatar_split_clause,[],[f354,f1003]) ).
fof(f1003,plain,
( spl1_84
<=> ! [X0,X1] :
( X0 = X1
| bit1(X0) != bit1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_84])]) ).
fof(f354,plain,
! [X0,X1] :
( X0 = X1
| bit1(X0) != bit1(X1) ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0,X1] :
( ( bit1(X0) = bit1(X1)
| X0 != X1 )
& ( X0 = X1
| bit1(X0) != bit1(X1) ) ),
inference(nnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0,X1] :
( bit1(X0) = bit1(X1)
<=> X0 = X1 ),
inference(rectify,[],[f95]) ).
fof(f95,axiom,
! [X13,X14] :
( bit1(X13) = bit1(X14)
<=> X13 = X14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_94_rel__simps_I51_J) ).
fof(f1001,plain,
spl1_83,
inference(avatar_split_clause,[],[f346,f999]) ).
fof(f999,plain,
( spl1_83
<=> ! [X0,X1] :
( ord_less_eq_int(plus_plus_int(X0,one_one_int),X1)
| ~ ord_less_int(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_83])]) ).
fof(f346,plain,
! [X0,X1] :
( ord_less_eq_int(plus_plus_int(X0,one_one_int),X1)
| ~ ord_less_int(X0,X1) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0,X1] :
( ord_less_eq_int(plus_plus_int(X0,one_one_int),X1)
| ~ ord_less_int(X0,X1) ),
inference(ennf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0,X1] :
( ord_less_int(X0,X1)
=> ord_less_eq_int(plus_plus_int(X0,one_one_int),X1) ),
inference(rectify,[],[f85]) ).
fof(f85,axiom,
! [X9,X11] :
( ord_less_int(X9,X11)
=> ord_less_eq_int(plus_plus_int(X9,one_one_int),X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_84_zless__imp__add1__zle) ).
fof(f997,plain,
spl1_82,
inference(avatar_split_clause,[],[f296,f995]) ).
fof(f995,plain,
( spl1_82
<=> ! [X0] :
( ord_less_int(zero_zero_int,plus_plus_int(one_one_int,X0))
| ~ ord_less_eq_int(zero_zero_int,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_82])]) ).
fof(f296,plain,
! [X0] :
( ord_less_int(zero_zero_int,plus_plus_int(one_one_int,X0))
| ~ ord_less_eq_int(zero_zero_int,X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0] :
( ord_less_int(zero_zero_int,plus_plus_int(one_one_int,X0))
| ~ ord_less_eq_int(zero_zero_int,X0) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ord_less_eq_int(zero_zero_int,X0)
=> ord_less_int(zero_zero_int,plus_plus_int(one_one_int,X0)) ),
inference(rectify,[],[f91]) ).
fof(f91,axiom,
! [X11] :
( ord_less_eq_int(zero_zero_int,X11)
=> ord_less_int(zero_zero_int,plus_plus_int(one_one_int,X11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_90_le__imp__0__less) ).
fof(f992,plain,
spl1_81,
inference(avatar_split_clause,[],[f281,f989]) ).
fof(f986,plain,
( spl1_80
| ~ spl1_79 ),
inference(avatar_split_clause,[],[f981,f977,f983]) ).
fof(f983,plain,
( spl1_80
<=> zero_zero_int = power_power_int(zero_zero_int,plus_plus_nat(one_one_nat,one_one_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_80])]) ).
fof(f977,plain,
( spl1_79
<=> zero_zero_int = power_power_int(zero_zero_int,number_number_of_nat(bit0(bit1(pls)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_79])]) ).
fof(f981,plain,
( zero_zero_int = power_power_int(zero_zero_int,plus_plus_nat(one_one_nat,one_one_nat))
| ~ spl1_79 ),
inference(forward_demodulation,[],[f979,f281]) ).
fof(f979,plain,
( zero_zero_int = power_power_int(zero_zero_int,number_number_of_nat(bit0(bit1(pls))))
| ~ spl1_79 ),
inference(avatar_component_clause,[],[f977]) ).
fof(f980,plain,
spl1_79,
inference(avatar_split_clause,[],[f280,f977]) ).
fof(f280,plain,
zero_zero_int = power_power_int(zero_zero_int,number_number_of_nat(bit0(bit1(pls)))),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
zero_zero_int = power_power_int(zero_zero_int,number_number_of_nat(bit0(bit1(pls)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_zero__power2) ).
fof(f974,plain,
( spl1_78
| ~ spl1_77 ),
inference(avatar_split_clause,[],[f969,f965,f971]) ).
fof(f965,plain,
( spl1_77
<=> one_one_int = power_power_int(one_one_int,number_number_of_nat(bit0(bit1(pls)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_77])]) ).
fof(f969,plain,
( one_one_int = power_power_int(one_one_int,plus_plus_nat(one_one_nat,one_one_nat))
| ~ spl1_77 ),
inference(forward_demodulation,[],[f967,f281]) ).
fof(f967,plain,
( one_one_int = power_power_int(one_one_int,number_number_of_nat(bit0(bit1(pls))))
| ~ spl1_77 ),
inference(avatar_component_clause,[],[f965]) ).
fof(f968,plain,
spl1_77,
inference(avatar_split_clause,[],[f279,f965]) ).
fof(f279,plain,
one_one_int = power_power_int(one_one_int,number_number_of_nat(bit0(bit1(pls)))),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
one_one_int = power_power_int(one_one_int,number_number_of_nat(bit0(bit1(pls)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_one__power2) ).
fof(f963,plain,
( ~ spl1_76
| ~ spl1_28
| ~ spl1_46 ),
inference(avatar_split_clause,[],[f840,f751,f638,f960]) ).
fof(f960,plain,
( spl1_76
<=> ord_less_int(one_one_int,t) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_76])]) ).
fof(f751,plain,
( spl1_46
<=> ord_less_eq_int(t,one_one_int) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_46])]) ).
fof(f840,plain,
( ~ ord_less_int(one_one_int,t)
| ~ spl1_28
| ~ spl1_46 ),
inference(resolution,[],[f753,f639]) ).
fof(f753,plain,
( ord_less_eq_int(t,one_one_int)
| ~ spl1_46 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f958,plain,
( spl1_75
| ~ spl1_74 ),
inference(avatar_split_clause,[],[f953,f949,f955]) ).
fof(f955,plain,
( spl1_75
<=> zero_zero_nat = power_power_nat(zero_zero_nat,plus_plus_nat(one_one_nat,one_one_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_75])]) ).
fof(f949,plain,
( spl1_74
<=> zero_zero_nat = power_power_nat(zero_zero_nat,number_number_of_nat(bit0(bit1(pls)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_74])]) ).
fof(f953,plain,
( zero_zero_nat = power_power_nat(zero_zero_nat,plus_plus_nat(one_one_nat,one_one_nat))
| ~ spl1_74 ),
inference(forward_demodulation,[],[f951,f281]) ).
fof(f951,plain,
( zero_zero_nat = power_power_nat(zero_zero_nat,number_number_of_nat(bit0(bit1(pls))))
| ~ spl1_74 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f952,plain,
spl1_74,
inference(avatar_split_clause,[],[f278,f949]) ).
fof(f278,plain,
zero_zero_nat = power_power_nat(zero_zero_nat,number_number_of_nat(bit0(bit1(pls)))),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
zero_zero_nat = power_power_nat(zero_zero_nat,number_number_of_nat(bit0(bit1(pls)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_zero__power2) ).
fof(f947,plain,
( spl1_73
| ~ spl1_72 ),
inference(avatar_split_clause,[],[f942,f938,f944]) ).
fof(f944,plain,
( spl1_73
<=> one_one_nat = power_power_nat(one_one_nat,plus_plus_nat(one_one_nat,one_one_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_73])]) ).
fof(f938,plain,
( spl1_72
<=> one_one_nat = power_power_nat(one_one_nat,number_number_of_nat(bit0(bit1(pls)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_72])]) ).
fof(f942,plain,
( one_one_nat = power_power_nat(one_one_nat,plus_plus_nat(one_one_nat,one_one_nat))
| ~ spl1_72 ),
inference(forward_demodulation,[],[f940,f281]) ).
fof(f940,plain,
( one_one_nat = power_power_nat(one_one_nat,number_number_of_nat(bit0(bit1(pls))))
| ~ spl1_72 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f941,plain,
spl1_72,
inference(avatar_split_clause,[],[f277,f938]) ).
fof(f277,plain,
one_one_nat = power_power_nat(one_one_nat,number_number_of_nat(bit0(bit1(pls)))),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
one_one_nat = power_power_nat(one_one_nat,number_number_of_nat(bit0(bit1(pls)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_one__power2) ).
fof(f915,plain,
( spl1_71
| ~ spl1_22
| ~ spl1_29 ),
inference(avatar_split_clause,[],[f693,f643,f610,f912]) ).
fof(f912,plain,
( spl1_71
<=> ord_less_eq_int(zero_zero_int,one_one_int) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_71])]) ).
fof(f610,plain,
( spl1_22
<=> ! [X0,X1] :
( ord_less_eq_int(X0,X1)
| ~ ord_less_int(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_22])]) ).
fof(f643,plain,
( spl1_29
<=> ord_less_int(zero_zero_int,one_one_int) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_29])]) ).
fof(f693,plain,
( ord_less_eq_int(zero_zero_int,one_one_int)
| ~ spl1_22
| ~ spl1_29 ),
inference(resolution,[],[f645,f611]) ).
fof(f611,plain,
( ! [X0,X1] :
( ~ ord_less_int(X0,X1)
| ord_less_eq_int(X0,X1) )
| ~ spl1_22 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f645,plain,
( ord_less_int(zero_zero_int,one_one_int)
| ~ spl1_29 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f868,plain,
( spl1_70
| ~ spl1_15
| ~ spl1_51 ),
inference(avatar_split_clause,[],[f778,f775,f577,f866]) ).
fof(f866,plain,
( spl1_70
<=> ! [X0] :
( ord_less_eq_int(X0,bit1(zero_zero_int))
| ~ ord_less_eq_int(X0,one_one_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_70])]) ).
fof(f775,plain,
( spl1_51
<=> ! [X0] :
( ~ ord_less_eq_int(X0,one_one_int)
| ord_less_eq_int(X0,bit1(pls)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_51])]) ).
fof(f778,plain,
( ! [X0] :
( ord_less_eq_int(X0,bit1(zero_zero_int))
| ~ ord_less_eq_int(X0,one_one_int) )
| ~ spl1_15
| ~ spl1_51 ),
inference(forward_demodulation,[],[f776,f579]) ).
fof(f776,plain,
( ! [X0] :
( ~ ord_less_eq_int(X0,one_one_int)
| ord_less_eq_int(X0,bit1(pls)) )
| ~ spl1_51 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f864,plain,
( spl1_69
| ~ spl1_15
| ~ spl1_50 ),
inference(avatar_split_clause,[],[f773,f770,f577,f862]) ).
fof(f770,plain,
( spl1_50
<=> ! [X0] :
( ord_less_eq_int(X0,one_one_int)
| ~ ord_less_eq_int(X0,bit1(pls)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_50])]) ).
fof(f773,plain,
( ! [X0] :
( ~ ord_less_eq_int(X0,bit1(zero_zero_int))
| ord_less_eq_int(X0,one_one_int) )
| ~ spl1_15
| ~ spl1_50 ),
inference(forward_demodulation,[],[f771,f579]) ).
fof(f771,plain,
( ! [X0] :
( ord_less_eq_int(X0,one_one_int)
| ~ ord_less_eq_int(X0,bit1(pls)) )
| ~ spl1_50 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f860,plain,
( spl1_68
| ~ spl1_15
| ~ spl1_49 ),
inference(avatar_split_clause,[],[f768,f765,f577,f858]) ).
fof(f858,plain,
( spl1_68
<=> ! [X0] :
( ord_less_eq_int(bit1(zero_zero_int),X0)
| ~ ord_less_eq_int(one_one_int,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_68])]) ).
fof(f765,plain,
( spl1_49
<=> ! [X0] :
( ~ ord_less_eq_int(one_one_int,X0)
| ord_less_eq_int(bit1(pls),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_49])]) ).
fof(f768,plain,
( ! [X0] :
( ord_less_eq_int(bit1(zero_zero_int),X0)
| ~ ord_less_eq_int(one_one_int,X0) )
| ~ spl1_15
| ~ spl1_49 ),
inference(forward_demodulation,[],[f766,f579]) ).
fof(f766,plain,
( ! [X0] :
( ~ ord_less_eq_int(one_one_int,X0)
| ord_less_eq_int(bit1(pls),X0) )
| ~ spl1_49 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f856,plain,
( spl1_67
| ~ spl1_15
| ~ spl1_48 ),
inference(avatar_split_clause,[],[f763,f760,f577,f854]) ).
fof(f760,plain,
( spl1_48
<=> ! [X0] :
( ord_less_eq_int(one_one_int,X0)
| ~ ord_less_eq_int(bit1(pls),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_48])]) ).
fof(f763,plain,
( ! [X0] :
( ~ ord_less_eq_int(bit1(zero_zero_int),X0)
| ord_less_eq_int(one_one_int,X0) )
| ~ spl1_15
| ~ spl1_48 ),
inference(forward_demodulation,[],[f761,f579]) ).
fof(f761,plain,
( ! [X0] :
( ord_less_eq_int(one_one_int,X0)
| ~ ord_less_eq_int(bit1(pls),X0) )
| ~ spl1_48 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f839,plain,
( spl1_66
| ~ spl1_15
| ~ spl1_43 ),
inference(avatar_split_clause,[],[f741,f737,f577,f837]) ).
fof(f837,plain,
( spl1_66
<=> ! [X0] :
( ~ ord_less_eq_int(zero_zero_int,X0)
| ord_less_int(zero_zero_int,bit1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_66])]) ).
fof(f737,plain,
( spl1_43
<=> ! [X0] :
( ord_less_int(pls,bit1(X0))
| ~ ord_less_eq_int(pls,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_43])]) ).
fof(f741,plain,
( ! [X0] :
( ~ ord_less_eq_int(zero_zero_int,X0)
| ord_less_int(zero_zero_int,bit1(X0)) )
| ~ spl1_15
| ~ spl1_43 ),
inference(forward_demodulation,[],[f740,f579]) ).
fof(f740,plain,
( ! [X0] :
( ord_less_int(zero_zero_int,bit1(X0))
| ~ ord_less_eq_int(pls,X0) )
| ~ spl1_15
| ~ spl1_43 ),
inference(forward_demodulation,[],[f738,f579]) ).
fof(f738,plain,
( ! [X0] :
( ord_less_int(pls,bit1(X0))
| ~ ord_less_eq_int(pls,X0) )
| ~ spl1_43 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f835,plain,
( spl1_65
| ~ spl1_15
| ~ spl1_42 ),
inference(avatar_split_clause,[],[f735,f731,f577,f833]) ).
fof(f833,plain,
( spl1_65
<=> ! [X0] :
( ~ ord_less_int(zero_zero_int,bit1(X0))
| ord_less_eq_int(zero_zero_int,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_65])]) ).
fof(f731,plain,
( spl1_42
<=> ! [X0] :
( ord_less_eq_int(pls,X0)
| ~ ord_less_int(pls,bit1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_42])]) ).
fof(f735,plain,
( ! [X0] :
( ~ ord_less_int(zero_zero_int,bit1(X0))
| ord_less_eq_int(zero_zero_int,X0) )
| ~ spl1_15
| ~ spl1_42 ),
inference(forward_demodulation,[],[f734,f579]) ).
fof(f734,plain,
( ! [X0] :
( ord_less_eq_int(zero_zero_int,X0)
| ~ ord_less_int(pls,bit1(X0)) )
| ~ spl1_15
| ~ spl1_42 ),
inference(forward_demodulation,[],[f732,f579]) ).
fof(f732,plain,
( ! [X0] :
( ord_less_eq_int(pls,X0)
| ~ ord_less_int(pls,bit1(X0)) )
| ~ spl1_42 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f831,plain,
( spl1_64
| ~ spl1_15
| ~ spl1_41 ),
inference(avatar_split_clause,[],[f729,f725,f577,f829]) ).
fof(f829,plain,
( spl1_64
<=> ! [X0] :
( ~ ord_less_eq_int(X0,zero_zero_int)
| ord_less_eq_int(bit0(X0),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_64])]) ).
fof(f725,plain,
( spl1_41
<=> ! [X0] :
( ord_less_eq_int(bit0(X0),pls)
| ~ ord_less_eq_int(X0,pls) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_41])]) ).
fof(f729,plain,
( ! [X0] :
( ~ ord_less_eq_int(X0,zero_zero_int)
| ord_less_eq_int(bit0(X0),zero_zero_int) )
| ~ spl1_15
| ~ spl1_41 ),
inference(forward_demodulation,[],[f728,f579]) ).
fof(f728,plain,
( ! [X0] :
( ord_less_eq_int(bit0(X0),zero_zero_int)
| ~ ord_less_eq_int(X0,pls) )
| ~ spl1_15
| ~ spl1_41 ),
inference(forward_demodulation,[],[f726,f579]) ).
fof(f726,plain,
( ! [X0] :
( ord_less_eq_int(bit0(X0),pls)
| ~ ord_less_eq_int(X0,pls) )
| ~ spl1_41 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f827,plain,
( spl1_63
| ~ spl1_15
| ~ spl1_40 ),
inference(avatar_split_clause,[],[f723,f719,f577,f825]) ).
fof(f825,plain,
( spl1_63
<=> ! [X0] :
( ~ ord_less_eq_int(bit0(X0),zero_zero_int)
| ord_less_eq_int(X0,zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_63])]) ).
fof(f719,plain,
( spl1_40
<=> ! [X0] :
( ord_less_eq_int(X0,pls)
| ~ ord_less_eq_int(bit0(X0),pls) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_40])]) ).
fof(f723,plain,
( ! [X0] :
( ~ ord_less_eq_int(bit0(X0),zero_zero_int)
| ord_less_eq_int(X0,zero_zero_int) )
| ~ spl1_15
| ~ spl1_40 ),
inference(forward_demodulation,[],[f722,f579]) ).
fof(f722,plain,
( ! [X0] :
( ord_less_eq_int(X0,zero_zero_int)
| ~ ord_less_eq_int(bit0(X0),pls) )
| ~ spl1_15
| ~ spl1_40 ),
inference(forward_demodulation,[],[f720,f579]) ).
fof(f720,plain,
( ! [X0] :
( ord_less_eq_int(X0,pls)
| ~ ord_less_eq_int(bit0(X0),pls) )
| ~ spl1_40 ),
inference(avatar_component_clause,[],[f719]) ).
fof(f823,plain,
( spl1_62
| ~ spl1_15
| ~ spl1_39 ),
inference(avatar_split_clause,[],[f717,f713,f577,f821]) ).
fof(f821,plain,
( spl1_62
<=> ! [X0] :
( ~ ord_less_int(X0,zero_zero_int)
| ord_less_eq_int(bit1(X0),zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_62])]) ).
fof(f713,plain,
( spl1_39
<=> ! [X0] :
( ord_less_eq_int(bit1(X0),pls)
| ~ ord_less_int(X0,pls) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_39])]) ).
fof(f717,plain,
( ! [X0] :
( ~ ord_less_int(X0,zero_zero_int)
| ord_less_eq_int(bit1(X0),zero_zero_int) )
| ~ spl1_15
| ~ spl1_39 ),
inference(forward_demodulation,[],[f716,f579]) ).
fof(f716,plain,
( ! [X0] :
( ord_less_eq_int(bit1(X0),zero_zero_int)
| ~ ord_less_int(X0,pls) )
| ~ spl1_15
| ~ spl1_39 ),
inference(forward_demodulation,[],[f714,f579]) ).
fof(f714,plain,
( ! [X0] :
( ord_less_eq_int(bit1(X0),pls)
| ~ ord_less_int(X0,pls) )
| ~ spl1_39 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f819,plain,
( spl1_61
| ~ spl1_15
| ~ spl1_38 ),
inference(avatar_split_clause,[],[f711,f707,f577,f817]) ).
fof(f817,plain,
( spl1_61
<=> ! [X0] :
( ~ ord_less_eq_int(bit1(X0),zero_zero_int)
| ord_less_int(X0,zero_zero_int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_61])]) ).
fof(f707,plain,
( spl1_38
<=> ! [X0] :
( ord_less_int(X0,pls)
| ~ ord_less_eq_int(bit1(X0),pls) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_38])]) ).
fof(f711,plain,
( ! [X0] :
( ~ ord_less_eq_int(bit1(X0),zero_zero_int)
| ord_less_int(X0,zero_zero_int) )
| ~ spl1_15
| ~ spl1_38 ),
inference(forward_demodulation,[],[f710,f579]) ).
fof(f710,plain,
( ! [X0] :
( ord_less_int(X0,zero_zero_int)
| ~ ord_less_eq_int(bit1(X0),pls) )
| ~ spl1_15
| ~ spl1_38 ),
inference(forward_demodulation,[],[f708,f579]) ).
fof(f708,plain,
( ! [X0] :
( ord_less_int(X0,pls)
| ~ ord_less_eq_int(bit1(X0),pls) )
| ~ spl1_38 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f815,plain,
( spl1_60
| ~ spl1_15
| ~ spl1_37 ),
inference(avatar_split_clause,[],[f705,f701,f577,f813]) ).
fof(f813,plain,
( spl1_60
<=> ! [X0] :
( ~ ord_less_eq_int(zero_zero_int,X0)
| ord_less_eq_int(zero_zero_int,bit0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_60])]) ).
fof(f701,plain,
( spl1_37
<=> ! [X0] :
( ord_less_eq_int(pls,bit0(X0))
| ~ ord_less_eq_int(pls,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_37])]) ).
fof(f705,plain,
( ! [X0] :
( ~ ord_less_eq_int(zero_zero_int,X0)
| ord_less_eq_int(zero_zero_int,bit0(X0)) )
| ~ spl1_15
| ~ spl1_37 ),
inference(forward_demodulation,[],[f704,f579]) ).
fof(f704,plain,
( ! [X0] :
( ord_less_eq_int(zero_zero_int,bit0(X0))
| ~ ord_less_eq_int(pls,X0) )
| ~ spl1_15
| ~ spl1_37 ),
inference(forward_demodulation,[],[f702,f579]) ).
fof(f702,plain,
( ! [X0] :
( ord_less_eq_int(pls,bit0(X0))
| ~ ord_less_eq_int(pls,X0) )
| ~ spl1_37 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f811,plain,
( spl1_59
| ~ spl1_15
| ~ spl1_36 ),
inference(avatar_split_clause,[],[f699,f695,f577,f809]) ).
fof(f809,plain,
( spl1_59
<=> ! [X0] :
( ~ ord_less_eq_int(zero_zero_int,bit0(X0))
| ord_less_eq_int(zero_zero_int,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_59])]) ).
fof(f695,plain,
( spl1_36
<=> ! [X0] :
( ord_less_eq_int(pls,X0)
| ~ ord_less_eq_int(pls,bit0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_36])]) ).
fof(f699,plain,
( ! [X0] :
( ~ ord_less_eq_int(zero_zero_int,bit0(X0))
| ord_less_eq_int(zero_zero_int,X0) )
| ~ spl1_15
| ~ spl1_36 ),
inference(forward_demodulation,[],[f698,f579]) ).
fof(f698,plain,
( ! [X0] :
( ord_less_eq_int(zero_zero_int,X0)
| ~ ord_less_eq_int(pls,bit0(X0)) )
| ~ spl1_15
| ~ spl1_36 ),
inference(forward_demodulation,[],[f696,f579]) ).
fof(f696,plain,
( ! [X0] :
( ord_less_eq_int(pls,X0)
| ~ ord_less_eq_int(pls,bit0(X0)) )
| ~ spl1_36 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f807,plain,
( spl1_58
| ~ spl1_15
| ~ spl1_35 ),
inference(avatar_split_clause,[],[f691,f687,f577,f805]) ).
fof(f805,plain,
( spl1_58
<=> ! [X0] :
( ~ ord_less_eq_int(zero_zero_int,X0)
| ord_less_eq_int(zero_zero_int,bit1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_58])]) ).
fof(f687,plain,
( spl1_35
<=> ! [X0] :
( ord_less_eq_int(pls,bit1(X0))
| ~ ord_less_eq_int(pls,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_35])]) ).
fof(f691,plain,
( ! [X0] :
( ~ ord_less_eq_int(zero_zero_int,X0)
| ord_less_eq_int(zero_zero_int,bit1(X0)) )
| ~ spl1_15
| ~ spl1_35 ),
inference(forward_demodulation,[],[f690,f579]) ).
fof(f690,plain,
( ! [X0] :
( ord_less_eq_int(zero_zero_int,bit1(X0))
| ~ ord_less_eq_int(pls,X0) )
| ~ spl1_15
| ~ spl1_35 ),
inference(forward_demodulation,[],[f688,f579]) ).
fof(f688,plain,
( ! [X0] :
( ord_less_eq_int(pls,bit1(X0))
| ~ ord_less_eq_int(pls,X0) )
| ~ spl1_35 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f803,plain,
( spl1_57
| ~ spl1_5
| ~ spl1_22 ),
inference(avatar_split_clause,[],[f653,f610,f529,f800]) ).
fof(f529,plain,
( spl1_5
<=> ord_less_int(t,zero_zero_int) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
fof(f653,plain,
( ord_less_eq_int(t,zero_zero_int)
| ~ spl1_5
| ~ spl1_22 ),
inference(resolution,[],[f611,f531]) ).
fof(f531,plain,
( ord_less_int(t,zero_zero_int)
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f798,plain,
( spl1_56
| ~ spl1_15
| ~ spl1_34 ),
inference(avatar_split_clause,[],[f685,f681,f577,f796]) ).
fof(f796,plain,
( spl1_56
<=> ! [X0] :
( ~ ord_less_eq_int(zero_zero_int,bit1(X0))
| ord_less_eq_int(zero_zero_int,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_56])]) ).
fof(f681,plain,
( spl1_34
<=> ! [X0] :
( ord_less_eq_int(pls,X0)
| ~ ord_less_eq_int(pls,bit1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_34])]) ).
fof(f685,plain,
( ! [X0] :
( ~ ord_less_eq_int(zero_zero_int,bit1(X0))
| ord_less_eq_int(zero_zero_int,X0) )
| ~ spl1_15
| ~ spl1_34 ),
inference(forward_demodulation,[],[f684,f579]) ).
fof(f684,plain,
( ! [X0] :
( ord_less_eq_int(zero_zero_int,X0)
| ~ ord_less_eq_int(pls,bit1(X0)) )
| ~ spl1_15
| ~ spl1_34 ),
inference(forward_demodulation,[],[f682,f579]) ).
fof(f682,plain,
( ! [X0] :
( ord_less_eq_int(pls,X0)
| ~ ord_less_eq_int(pls,bit1(X0)) )
| ~ spl1_34 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f794,plain,
( spl1_55
| ~ spl1_15
| ~ spl1_33 ),
inference(avatar_split_clause,[],[f679,f676,f577,f792]) ).
fof(f792,plain,
( spl1_55
<=> ! [X0] :
( ~ ord_less_int(zero_zero_int,X0)
| ord_less_nat(zero_zero_nat,number_number_of_nat(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_55])]) ).
fof(f676,plain,
( spl1_33
<=> ! [X0] :
( ord_less_nat(zero_zero_nat,number_number_of_nat(X0))
| ~ ord_less_int(pls,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_33])]) ).
fof(f679,plain,
( ! [X0] :
( ~ ord_less_int(zero_zero_int,X0)
| ord_less_nat(zero_zero_nat,number_number_of_nat(X0)) )
| ~ spl1_15
| ~ spl1_33 ),
inference(forward_demodulation,[],[f677,f579]) ).
fof(f677,plain,
( ! [X0] :
( ord_less_nat(zero_zero_nat,number_number_of_nat(X0))
| ~ ord_less_int(pls,X0) )
| ~ spl1_33 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f790,plain,
( spl1_54
| ~ spl1_15
| ~ spl1_32 ),
inference(avatar_split_clause,[],[f674,f671,f577,f788]) ).
fof(f788,plain,
( spl1_54
<=> ! [X0] :
( ord_less_int(zero_zero_int,X0)
| ~ ord_less_nat(zero_zero_nat,number_number_of_nat(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_54])]) ).
fof(f671,plain,
( spl1_32
<=> ! [X0] :
( ord_less_int(pls,X0)
| ~ ord_less_nat(zero_zero_nat,number_number_of_nat(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_32])]) ).
fof(f674,plain,
( ! [X0] :
( ord_less_int(zero_zero_int,X0)
| ~ ord_less_nat(zero_zero_nat,number_number_of_nat(X0)) )
| ~ spl1_15
| ~ spl1_32 ),
inference(forward_demodulation,[],[f672,f579]) ).
fof(f672,plain,
( ! [X0] :
( ord_less_int(pls,X0)
| ~ ord_less_nat(zero_zero_nat,number_number_of_nat(X0)) )
| ~ spl1_32 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f786,plain,
( spl1_53
| ~ spl1_15
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f669,f666,f577,f784]) ).
fof(f666,plain,
( spl1_31
<=> ! [X0] :
( zero_zero_nat = number_number_of_nat(X0)
| ~ ord_less_eq_int(X0,pls) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_31])]) ).
fof(f669,plain,
( ! [X0] :
( ~ ord_less_eq_int(X0,zero_zero_int)
| zero_zero_nat = number_number_of_nat(X0) )
| ~ spl1_15
| ~ spl1_31 ),
inference(forward_demodulation,[],[f667,f579]) ).
fof(f667,plain,
( ! [X0] :
( zero_zero_nat = number_number_of_nat(X0)
| ~ ord_less_eq_int(X0,pls) )
| ~ spl1_31 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f782,plain,
( spl1_52
| ~ spl1_15
| ~ spl1_30 ),
inference(avatar_split_clause,[],[f664,f661,f577,f780]) ).
fof(f780,plain,
( spl1_52
<=> ! [X0] :
( ord_less_eq_int(X0,zero_zero_int)
| zero_zero_nat != number_number_of_nat(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_52])]) ).
fof(f661,plain,
( spl1_30
<=> ! [X0] :
( ord_less_eq_int(X0,pls)
| zero_zero_nat != number_number_of_nat(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_30])]) ).
fof(f664,plain,
( ! [X0] :
( ord_less_eq_int(X0,zero_zero_int)
| zero_zero_nat != number_number_of_nat(X0) )
| ~ spl1_15
| ~ spl1_30 ),
inference(forward_demodulation,[],[f662,f579]) ).
fof(f662,plain,
( ! [X0] :
( ord_less_eq_int(X0,pls)
| zero_zero_nat != number_number_of_nat(X0) )
| ~ spl1_30 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f777,plain,
spl1_51,
inference(avatar_split_clause,[],[f456,f775]) ).
fof(f456,plain,
! [X0] :
( ~ ord_less_eq_int(X0,one_one_int)
| ord_less_eq_int(X0,bit1(pls)) ),
inference(forward_demodulation,[],[f317,f289]) ).
fof(f317,plain,
! [X0] :
( ord_less_eq_int(X0,bit1(pls))
| ~ ord_less_eq_int(number_number_of_int(X0),one_one_int) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0] :
( ( ord_less_eq_int(number_number_of_int(X0),one_one_int)
| ~ ord_less_eq_int(X0,bit1(pls)) )
& ( ord_less_eq_int(X0,bit1(pls))
| ~ ord_less_eq_int(number_number_of_int(X0),one_one_int) ) ),
inference(nnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ord_less_eq_int(number_number_of_int(X0),one_one_int)
<=> ord_less_eq_int(X0,bit1(pls)) ),
inference(rectify,[],[f64]) ).
fof(f64,axiom,
! [X2] :
( ord_less_eq_int(number_number_of_int(X2),one_one_int)
<=> ord_less_eq_int(X2,bit1(pls)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_63_le__special_I4_J) ).
fof(f772,plain,
spl1_50,
inference(avatar_split_clause,[],[f455,f770]) ).
fof(f455,plain,
! [X0] :
( ord_less_eq_int(X0,one_one_int)
| ~ ord_less_eq_int(X0,bit1(pls)) ),
inference(forward_demodulation,[],[f318,f289]) ).
fof(f318,plain,
! [X0] :
( ord_less_eq_int(number_number_of_int(X0),one_one_int)
| ~ ord_less_eq_int(X0,bit1(pls)) ),
inference(cnf_transformation,[],[f228]) ).
fof(f767,plain,
spl1_49,
inference(avatar_split_clause,[],[f452,f765]) ).
fof(f452,plain,
! [X0] :
( ~ ord_less_eq_int(one_one_int,X0)
| ord_less_eq_int(bit1(pls),X0) ),
inference(forward_demodulation,[],[f305,f289]) ).
fof(f305,plain,
! [X0] :
( ord_less_eq_int(bit1(pls),X0)
| ~ ord_less_eq_int(one_one_int,number_number_of_int(X0)) ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
! [X0] :
( ( ord_less_eq_int(one_one_int,number_number_of_int(X0))
| ~ ord_less_eq_int(bit1(pls),X0) )
& ( ord_less_eq_int(bit1(pls),X0)
| ~ ord_less_eq_int(one_one_int,number_number_of_int(X0)) ) ),
inference(nnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ord_less_eq_int(one_one_int,number_number_of_int(X0))
<=> ord_less_eq_int(bit1(pls),X0) ),
inference(rectify,[],[f65]) ).
fof(f65,axiom,
! [X3] :
( ord_less_eq_int(one_one_int,number_number_of_int(X3))
<=> ord_less_eq_int(bit1(pls),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_64_le__special_I2_J) ).
fof(f762,plain,
spl1_48,
inference(avatar_split_clause,[],[f451,f760]) ).
fof(f451,plain,
! [X0] :
( ord_less_eq_int(one_one_int,X0)
| ~ ord_less_eq_int(bit1(pls),X0) ),
inference(forward_demodulation,[],[f306,f289]) ).
fof(f306,plain,
! [X0] :
( ord_less_eq_int(one_one_int,number_number_of_int(X0))
| ~ ord_less_eq_int(bit1(pls),X0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f758,plain,
spl1_47,
inference(avatar_split_clause,[],[f447,f756]) ).
fof(f447,plain,
! [X0] : ~ ord_less_int(power_power_int(X0,plus_plus_nat(one_one_nat,one_one_nat)),zero_zero_int),
inference(forward_demodulation,[],[f293,f281]) ).
fof(f293,plain,
! [X0] : ~ ord_less_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),zero_zero_int),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] : ~ ord_less_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),zero_zero_int),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X4] : ~ ord_less_int(power_power_int(X4,number_number_of_nat(bit0(bit1(pls)))),zero_zero_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_power2__less__0) ).
fof(f754,plain,
( spl1_46
| spl1_3
| ~ spl1_21 ),
inference(avatar_split_clause,[],[f647,f606,f519,f751]) ).
fof(f519,plain,
( spl1_3
<=> ord_less_eq_int(one_one_int,t) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f606,plain,
( spl1_21
<=> ! [X0,X1] :
( ord_less_eq_int(X1,X0)
| ord_less_eq_int(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_21])]) ).
fof(f647,plain,
( ord_less_eq_int(t,one_one_int)
| spl1_3
| ~ spl1_21 ),
inference(resolution,[],[f607,f521]) ).
fof(f521,plain,
( ~ ord_less_eq_int(one_one_int,t)
| spl1_3 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f607,plain,
( ! [X0,X1] :
( ord_less_eq_int(X1,X0)
| ord_less_eq_int(X0,X1) )
| ~ spl1_21 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f749,plain,
spl1_45,
inference(avatar_split_clause,[],[f328,f747]) ).
fof(f328,plain,
! [X0,X1] : times_times_int(X0,X1) = times_times_int(X1,X0),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0,X1] : times_times_int(X0,X1) = times_times_int(X1,X0),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X11,X9] : times_times_int(X11,X9) = times_times_int(X9,X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_25_zmult__commute) ).
fof(f745,plain,
spl1_44,
inference(avatar_split_clause,[],[f327,f743]) ).
fof(f327,plain,
! [X0,X1] : plus_plus_int(X1,X0) = plus_plus_int(X0,X1),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1] : plus_plus_int(X1,X0) = plus_plus_int(X0,X1),
inference(rectify,[],[f105]) ).
fof(f105,axiom,
! [X11,X9] : plus_plus_int(X9,X11) = plus_plus_int(X11,X9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_104_zadd__commute) ).
fof(f739,plain,
spl1_43,
inference(avatar_split_clause,[],[f322,f737]) ).
fof(f322,plain,
! [X0] :
( ord_less_int(pls,bit1(X0))
| ~ ord_less_eq_int(pls,X0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
! [X0] :
( ( ord_less_int(pls,bit1(X0))
| ~ ord_less_eq_int(pls,X0) )
& ( ord_less_eq_int(pls,X0)
| ~ ord_less_int(pls,bit1(X0)) ) ),
inference(nnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ord_less_int(pls,bit1(X0))
<=> ord_less_eq_int(pls,X0) ),
inference(rectify,[],[f76]) ).
fof(f76,axiom,
! [X13] :
( ord_less_int(pls,bit1(X13))
<=> ord_less_eq_int(pls,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_75_rel__simps_I5_J) ).
fof(f733,plain,
spl1_42,
inference(avatar_split_clause,[],[f321,f731]) ).
fof(f321,plain,
! [X0] :
( ord_less_eq_int(pls,X0)
| ~ ord_less_int(pls,bit1(X0)) ),
inference(cnf_transformation,[],[f230]) ).
fof(f727,plain,
spl1_41,
inference(avatar_split_clause,[],[f316,f725]) ).
fof(f316,plain,
! [X0] :
( ord_less_eq_int(bit0(X0),pls)
| ~ ord_less_eq_int(X0,pls) ),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
! [X0] :
( ( ord_less_eq_int(bit0(X0),pls)
| ~ ord_less_eq_int(X0,pls) )
& ( ord_less_eq_int(X0,pls)
| ~ ord_less_eq_int(bit0(X0),pls) ) ),
inference(nnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ord_less_eq_int(bit0(X0),pls)
<=> ord_less_eq_int(X0,pls) ),
inference(rectify,[],[f59]) ).
fof(f59,axiom,
! [X13] :
( ord_less_eq_int(bit0(X13),pls)
<=> ord_less_eq_int(X13,pls) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_58_rel__simps_I27_J) ).
fof(f721,plain,
spl1_40,
inference(avatar_split_clause,[],[f315,f719]) ).
fof(f315,plain,
! [X0] :
( ord_less_eq_int(X0,pls)
| ~ ord_less_eq_int(bit0(X0),pls) ),
inference(cnf_transformation,[],[f227]) ).
fof(f715,plain,
spl1_39,
inference(avatar_split_clause,[],[f314,f713]) ).
fof(f314,plain,
! [X0] :
( ord_less_eq_int(bit1(X0),pls)
| ~ ord_less_int(X0,pls) ),
inference(cnf_transformation,[],[f226]) ).
fof(f226,plain,
! [X0] :
( ( ord_less_eq_int(bit1(X0),pls)
| ~ ord_less_int(X0,pls) )
& ( ord_less_int(X0,pls)
| ~ ord_less_eq_int(bit1(X0),pls) ) ),
inference(nnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ord_less_eq_int(bit1(X0),pls)
<=> ord_less_int(X0,pls) ),
inference(rectify,[],[f75]) ).
fof(f75,axiom,
! [X13] :
( ord_less_eq_int(bit1(X13),pls)
<=> ord_less_int(X13,pls) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_74_rel__simps_I29_J) ).
fof(f709,plain,
spl1_38,
inference(avatar_split_clause,[],[f313,f707]) ).
fof(f313,plain,
! [X0] :
( ord_less_int(X0,pls)
| ~ ord_less_eq_int(bit1(X0),pls) ),
inference(cnf_transformation,[],[f226]) ).
fof(f703,plain,
spl1_37,
inference(avatar_split_clause,[],[f312,f701]) ).
fof(f312,plain,
! [X0] :
( ord_less_eq_int(pls,bit0(X0))
| ~ ord_less_eq_int(pls,X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X0] :
( ( ord_less_eq_int(pls,bit0(X0))
| ~ ord_less_eq_int(pls,X0) )
& ( ord_less_eq_int(pls,X0)
| ~ ord_less_eq_int(pls,bit0(X0)) ) ),
inference(nnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ord_less_eq_int(pls,bit0(X0))
<=> ord_less_eq_int(pls,X0) ),
inference(rectify,[],[f60]) ).
fof(f60,axiom,
! [X13] :
( ord_less_eq_int(pls,bit0(X13))
<=> ord_less_eq_int(pls,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_59_rel__simps_I21_J) ).
fof(f697,plain,
spl1_36,
inference(avatar_split_clause,[],[f311,f695]) ).
fof(f311,plain,
! [X0] :
( ord_less_eq_int(pls,X0)
| ~ ord_less_eq_int(pls,bit0(X0)) ),
inference(cnf_transformation,[],[f225]) ).
fof(f689,plain,
spl1_35,
inference(avatar_split_clause,[],[f310,f687]) ).
fof(f310,plain,
! [X0] :
( ord_less_eq_int(pls,bit1(X0))
| ~ ord_less_eq_int(pls,X0) ),
inference(cnf_transformation,[],[f224]) ).
fof(f224,plain,
! [X0] :
( ( ord_less_eq_int(pls,bit1(X0))
| ~ ord_less_eq_int(pls,X0) )
& ( ord_less_eq_int(pls,X0)
| ~ ord_less_eq_int(pls,bit1(X0)) ) ),
inference(nnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ord_less_eq_int(pls,bit1(X0))
<=> ord_less_eq_int(pls,X0) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X13] :
( ord_less_eq_int(pls,bit1(X13))
<=> ord_less_eq_int(pls,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_55_rel__simps_I22_J) ).
fof(f683,plain,
spl1_34,
inference(avatar_split_clause,[],[f309,f681]) ).
fof(f309,plain,
! [X0] :
( ord_less_eq_int(pls,X0)
| ~ ord_less_eq_int(pls,bit1(X0)) ),
inference(cnf_transformation,[],[f224]) ).
fof(f678,plain,
spl1_33,
inference(avatar_split_clause,[],[f304,f676]) ).
fof(f304,plain,
! [X0] :
( ord_less_nat(zero_zero_nat,number_number_of_nat(X0))
| ~ ord_less_int(pls,X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0] :
( ( ord_less_nat(zero_zero_nat,number_number_of_nat(X0))
| ~ ord_less_int(pls,X0) )
& ( ord_less_int(pls,X0)
| ~ ord_less_nat(zero_zero_nat,number_number_of_nat(X0)) ) ),
inference(nnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ord_less_nat(zero_zero_nat,number_number_of_nat(X0))
<=> ord_less_int(pls,X0) ),
inference(rectify,[],[f53]) ).
fof(f53,axiom,
! [X24] :
( ord_less_nat(zero_zero_nat,number_number_of_nat(X24))
<=> ord_less_int(pls,X24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_52_less__0__number__of) ).
fof(f673,plain,
spl1_32,
inference(avatar_split_clause,[],[f303,f671]) ).
fof(f303,plain,
! [X0] :
( ord_less_int(pls,X0)
| ~ ord_less_nat(zero_zero_nat,number_number_of_nat(X0)) ),
inference(cnf_transformation,[],[f221]) ).
fof(f668,plain,
spl1_31,
inference(avatar_split_clause,[],[f300,f666]) ).
fof(f300,plain,
! [X0] :
( zero_zero_nat = number_number_of_nat(X0)
| ~ ord_less_eq_int(X0,pls) ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0] :
( ( zero_zero_nat = number_number_of_nat(X0)
| ~ ord_less_eq_int(X0,pls) )
& ( ord_less_eq_int(X0,pls)
| zero_zero_nat != number_number_of_nat(X0) ) ),
inference(nnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( zero_zero_nat = number_number_of_nat(X0)
<=> ord_less_eq_int(X0,pls) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X24] :
( zero_zero_nat = number_number_of_nat(X24)
<=> ord_less_eq_int(X24,pls) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_42_eq__0__number__of) ).
fof(f663,plain,
spl1_30,
inference(avatar_split_clause,[],[f299,f661]) ).
fof(f299,plain,
! [X0] :
( ord_less_eq_int(X0,pls)
| zero_zero_nat != number_number_of_nat(X0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f646,plain,
( spl1_29
| ~ spl1_6
| ~ spl1_19 ),
inference(avatar_split_clause,[],[f641,f596,f534,f643]) ).
fof(f641,plain,
( ord_less_int(zero_zero_int,one_one_int)
| ~ spl1_6
| ~ spl1_19 ),
inference(resolution,[],[f597,f535]) ).
fof(f640,plain,
spl1_28,
inference(avatar_split_clause,[],[f490,f638]) ).
fof(f490,plain,
! [X0,X1] :
( ~ ord_less_eq_int(X0,X1)
| ~ ord_less_int(X1,X0) ),
inference(forward_demodulation,[],[f489,f289]) ).
fof(f489,plain,
! [X0,X1] :
( ~ ord_less_eq_int(number_number_of_int(X0),X1)
| ~ ord_less_int(X1,X0) ),
inference(forward_demodulation,[],[f488,f289]) ).
fof(f488,plain,
! [X0,X1] :
( ~ ord_less_int(X1,X0)
| ~ ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1)) ),
inference(forward_demodulation,[],[f487,f289]) ).
fof(f487,plain,
! [X0,X1] :
( ~ ord_less_int(number_number_of_int(X1),X0)
| ~ ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1)) ),
inference(forward_demodulation,[],[f386,f289]) ).
fof(f386,plain,
! [X0,X1] :
( ~ ord_less_int(number_number_of_int(X1),number_number_of_int(X0))
| ~ ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1)) ),
inference(cnf_transformation,[],[f253]) ).
fof(f253,plain,
! [X0,X1] :
( ( ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1))
| ord_less_int(number_number_of_int(X1),number_number_of_int(X0)) )
& ( ~ ord_less_int(number_number_of_int(X1),number_number_of_int(X0))
| ~ ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1)) ) ),
inference(nnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0,X1] :
( ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1))
<=> ~ ord_less_int(number_number_of_int(X1),number_number_of_int(X0)) ),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X24,X23] :
( ord_less_eq_int(number_number_of_int(X24),number_number_of_int(X23))
<=> ~ ord_less_int(number_number_of_int(X23),number_number_of_int(X24)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_53_le__number__of__eq__not__less) ).
fof(f636,plain,
spl1_27,
inference(avatar_split_clause,[],[f486,f634]) ).
fof(f634,plain,
( spl1_27
<=> ! [X0,X1] :
( ord_less_int(X1,X0)
| ord_less_eq_int(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_27])]) ).
fof(f486,plain,
! [X0,X1] :
( ord_less_int(X1,X0)
| ord_less_eq_int(X0,X1) ),
inference(forward_demodulation,[],[f485,f289]) ).
fof(f485,plain,
! [X0,X1] :
( ord_less_int(number_number_of_int(X1),X0)
| ord_less_eq_int(X0,X1) ),
inference(forward_demodulation,[],[f484,f289]) ).
fof(f484,plain,
! [X0,X1] :
( ord_less_eq_int(X0,X1)
| ord_less_int(number_number_of_int(X1),number_number_of_int(X0)) ),
inference(forward_demodulation,[],[f483,f289]) ).
fof(f483,plain,
! [X0,X1] :
( ord_less_eq_int(number_number_of_int(X0),X1)
| ord_less_int(number_number_of_int(X1),number_number_of_int(X0)) ),
inference(forward_demodulation,[],[f387,f289]) ).
fof(f387,plain,
! [X0,X1] :
( ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1))
| ord_less_int(number_number_of_int(X1),number_number_of_int(X0)) ),
inference(cnf_transformation,[],[f253]) ).
fof(f631,plain,
spl1_26,
inference(avatar_split_clause,[],[f458,f629]) ).
fof(f629,plain,
( spl1_26
<=> ! [X0] :
( ~ ord_less_eq_int(X0,zero_zero_int)
| ord_less_eq_int(X0,pls) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_26])]) ).
fof(f458,plain,
! [X0] :
( ~ ord_less_eq_int(X0,zero_zero_int)
| ord_less_eq_int(X0,pls) ),
inference(forward_demodulation,[],[f319,f289]) ).
fof(f319,plain,
! [X0] :
( ord_less_eq_int(X0,pls)
| ~ ord_less_eq_int(number_number_of_int(X0),zero_zero_int) ),
inference(cnf_transformation,[],[f229]) ).
fof(f229,plain,
! [X0] :
( ( ord_less_eq_int(number_number_of_int(X0),zero_zero_int)
| ~ ord_less_eq_int(X0,pls) )
& ( ord_less_eq_int(X0,pls)
| ~ ord_less_eq_int(number_number_of_int(X0),zero_zero_int) ) ),
inference(nnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ord_less_eq_int(number_number_of_int(X0),zero_zero_int)
<=> ord_less_eq_int(X0,pls) ),
inference(rectify,[],[f51]) ).
fof(f51,axiom,
! [X2] :
( ord_less_eq_int(number_number_of_int(X2),zero_zero_int)
<=> ord_less_eq_int(X2,pls) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_50_le__special_I3_J) ).
fof(f626,plain,
spl1_25,
inference(avatar_split_clause,[],[f457,f624]) ).
fof(f624,plain,
( spl1_25
<=> ! [X0] :
( ord_less_eq_int(X0,zero_zero_int)
| ~ ord_less_eq_int(X0,pls) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_25])]) ).
fof(f457,plain,
! [X0] :
( ord_less_eq_int(X0,zero_zero_int)
| ~ ord_less_eq_int(X0,pls) ),
inference(forward_demodulation,[],[f320,f289]) ).
fof(f320,plain,
! [X0] :
( ord_less_eq_int(number_number_of_int(X0),zero_zero_int)
| ~ ord_less_eq_int(X0,pls) ),
inference(cnf_transformation,[],[f229]) ).
fof(f621,plain,
spl1_24,
inference(avatar_split_clause,[],[f454,f619]) ).
fof(f619,plain,
( spl1_24
<=> ! [X0] :
( ~ ord_less_eq_int(zero_zero_int,X0)
| ord_less_eq_int(pls,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_24])]) ).
fof(f454,plain,
! [X0] :
( ~ ord_less_eq_int(zero_zero_int,X0)
| ord_less_eq_int(pls,X0) ),
inference(forward_demodulation,[],[f307,f289]) ).
fof(f307,plain,
! [X0] :
( ord_less_eq_int(pls,X0)
| ~ ord_less_eq_int(zero_zero_int,number_number_of_int(X0)) ),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X0] :
( ( ord_less_eq_int(zero_zero_int,number_number_of_int(X0))
| ~ ord_less_eq_int(pls,X0) )
& ( ord_less_eq_int(pls,X0)
| ~ ord_less_eq_int(zero_zero_int,number_number_of_int(X0)) ) ),
inference(nnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ord_less_eq_int(zero_zero_int,number_number_of_int(X0))
<=> ord_less_eq_int(pls,X0) ),
inference(rectify,[],[f52]) ).
fof(f52,axiom,
! [X3] :
( ord_less_eq_int(zero_zero_int,number_number_of_int(X3))
<=> ord_less_eq_int(pls,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_51_le__special_I1_J) ).
fof(f616,plain,
spl1_23,
inference(avatar_split_clause,[],[f453,f614]) ).
fof(f614,plain,
( spl1_23
<=> ! [X0] :
( ord_less_eq_int(zero_zero_int,X0)
| ~ ord_less_eq_int(pls,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_23])]) ).
fof(f453,plain,
! [X0] :
( ord_less_eq_int(zero_zero_int,X0)
| ~ ord_less_eq_int(pls,X0) ),
inference(forward_demodulation,[],[f308,f289]) ).
fof(f308,plain,
! [X0] :
( ord_less_eq_int(zero_zero_int,number_number_of_int(X0))
| ~ ord_less_eq_int(pls,X0) ),
inference(cnf_transformation,[],[f223]) ).
fof(f612,plain,
spl1_22,
inference(avatar_split_clause,[],[f347,f610]) ).
fof(f347,plain,
! [X0,X1] :
( ord_less_eq_int(X0,X1)
| ~ ord_less_int(X0,X1) ),
inference(cnf_transformation,[],[f234]) ).
fof(f608,plain,
spl1_21,
inference(avatar_split_clause,[],[f339,f606]) ).
fof(f339,plain,
! [X0,X1] :
( ord_less_eq_int(X1,X0)
| ord_less_eq_int(X0,X1) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1] :
( ord_less_eq_int(X1,X0)
| ord_less_eq_int(X0,X1) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X11,X9] :
( ord_less_eq_int(X9,X11)
| ord_less_eq_int(X11,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_26_zle__linear) ).
fof(f602,plain,
spl1_20,
inference(avatar_split_clause,[],[f298,f600]) ).
fof(f600,plain,
( spl1_20
<=> ! [X0] :
( ord_less_eq_int(one_one_int,X0)
| ~ ord_less_int(zero_zero_int,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_20])]) ).
fof(f298,plain,
! [X0] :
( ord_less_eq_int(one_one_int,X0)
| ~ ord_less_int(zero_zero_int,X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0] :
( ( ord_less_eq_int(one_one_int,X0)
| ~ ord_less_int(zero_zero_int,X0) )
& ( ord_less_int(zero_zero_int,X0)
| ~ ord_less_eq_int(one_one_int,X0) ) ),
inference(nnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ord_less_eq_int(one_one_int,X0)
<=> ord_less_int(zero_zero_int,X0) ),
inference(rectify,[],[f82]) ).
fof(f82,axiom,
! [X22] :
( ord_less_eq_int(one_one_int,X22)
<=> ord_less_int(zero_zero_int,X22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_81_int__one__le__iff__zero__less) ).
fof(f598,plain,
spl1_19,
inference(avatar_split_clause,[],[f297,f596]) ).
fof(f297,plain,
! [X0] :
( ord_less_int(zero_zero_int,X0)
| ~ ord_less_eq_int(one_one_int,X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f594,plain,
( spl1_18
| ~ spl1_9
| ~ spl1_10
| ~ spl1_12 ),
inference(avatar_split_clause,[],[f567,f564,f552,f547,f592]) ).
fof(f547,plain,
( spl1_9
<=> zero_zero_int = number_number_of_int(pls) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).
fof(f564,plain,
( spl1_12
<=> ! [X0] : pls = times_times_int(pls,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_12])]) ).
fof(f567,plain,
( ! [X0] : zero_zero_int = times_times_int(zero_zero_int,X0)
| ~ spl1_9
| ~ spl1_10
| ~ spl1_12 ),
inference(forward_demodulation,[],[f565,f555]) ).
fof(f555,plain,
( zero_zero_int = pls
| ~ spl1_9
| ~ spl1_10 ),
inference(superposition,[],[f553,f549]) ).
fof(f549,plain,
( zero_zero_int = number_number_of_int(pls)
| ~ spl1_9 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f565,plain,
( ! [X0] : pls = times_times_int(pls,X0)
| ~ spl1_12 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f590,plain,
( spl1_17
| ~ spl1_9
| ~ spl1_10
| ~ spl1_11 ),
inference(avatar_split_clause,[],[f562,f558,f552,f547,f587]) ).
fof(f587,plain,
( spl1_17
<=> one_one_nat = number_number_of_nat(bit1(zero_zero_int)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_17])]) ).
fof(f558,plain,
( spl1_11
<=> one_one_nat = number_number_of_nat(bit1(pls)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_11])]) ).
fof(f562,plain,
( one_one_nat = number_number_of_nat(bit1(zero_zero_int))
| ~ spl1_9
| ~ spl1_10
| ~ spl1_11 ),
inference(forward_demodulation,[],[f560,f555]) ).
fof(f560,plain,
( one_one_nat = number_number_of_nat(bit1(pls))
| ~ spl1_11 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f585,plain,
spl1_16,
inference(avatar_split_clause,[],[f496,f582]) ).
fof(f582,plain,
( spl1_16
<=> zero_zero_int = plus_plus_int(zero_zero_int,zero_zero_int) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_16])]) ).
fof(f496,plain,
zero_zero_int = plus_plus_int(zero_zero_int,zero_zero_int),
inference(forward_demodulation,[],[f439,f280]) ).
fof(f439,plain,
zero_zero_int = plus_plus_int(power_power_int(zero_zero_int,number_number_of_nat(bit0(bit1(pls)))),power_power_int(zero_zero_int,number_number_of_nat(bit0(bit1(pls))))),
inference(equality_resolution,[],[f438]) ).
fof(f438,plain,
! [X0] :
( zero_zero_int = plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(zero_zero_int,number_number_of_nat(bit0(bit1(pls)))))
| zero_zero_int != X0 ),
inference(equality_resolution,[],[f406]) ).
fof(f406,plain,
! [X0,X1] :
( zero_zero_int = plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))))
| zero_zero_int != X1
| zero_zero_int != X0 ),
inference(cnf_transformation,[],[f264]) ).
fof(f580,plain,
( spl1_15
| ~ spl1_9
| ~ spl1_10 ),
inference(avatar_split_clause,[],[f555,f552,f547,f577]) ).
fof(f575,plain,
spl1_14,
inference(avatar_split_clause,[],[f292,f573]) ).
fof(f573,plain,
( spl1_14
<=> ! [X0] : times_times_int(one_one_int,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_14])]) ).
fof(f292,plain,
! [X0] : times_times_int(one_one_int,X0) = X0,
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] : times_times_int(one_one_int,X0) = X0,
inference(rectify,[],[f71]) ).
fof(f71,axiom,
! [X11] : times_times_int(one_one_int,X11) = X11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_70_zmult__1) ).
fof(f571,plain,
spl1_13,
inference(avatar_split_clause,[],[f291,f569]) ).
fof(f569,plain,
( spl1_13
<=> ! [X0] : times_times_int(X0,one_one_int) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_13])]) ).
fof(f291,plain,
! [X0] : times_times_int(X0,one_one_int) = X0,
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] : times_times_int(X0,one_one_int) = X0,
inference(rectify,[],[f70]) ).
fof(f70,axiom,
! [X11] : times_times_int(X11,one_one_int) = X11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_69_zmult__1__right) ).
fof(f566,plain,
spl1_12,
inference(avatar_split_clause,[],[f290,f564]) ).
fof(f290,plain,
! [X0] : pls = times_times_int(pls,X0),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] : pls = times_times_int(pls,X0),
inference(rectify,[],[f67]) ).
fof(f67,axiom,
! [X9] : pls = times_times_int(pls,X9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_66_mult__Pls) ).
fof(f561,plain,
spl1_11,
inference(avatar_split_clause,[],[f275,f558]) ).
fof(f275,plain,
one_one_nat = number_number_of_nat(bit1(pls)),
inference(cnf_transformation,[],[f83]) ).
fof(f83,axiom,
one_one_nat = number_number_of_nat(bit1(pls)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_82_nat__numeral__1__eq__1) ).
fof(f554,plain,
spl1_10,
inference(avatar_split_clause,[],[f289,f552]) ).
fof(f550,plain,
spl1_9,
inference(avatar_split_clause,[],[f274,f547]) ).
fof(f274,plain,
zero_zero_int = number_number_of_int(pls),
inference(cnf_transformation,[],[f106]) ).
fof(f106,axiom,
zero_zero_int = number_number_of_int(pls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_105_zero__is__num__zero) ).
fof(f545,plain,
spl1_8,
inference(avatar_split_clause,[],[f272,f542]) ).
fof(f272,plain,
zero_zero_nat = number_number_of_nat(pls),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
zero_zero_nat = number_number_of_nat(pls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_61_nat__number__of__Pls) ).
fof(f540,plain,
spl1_7,
inference(avatar_split_clause,[],[f426,f538]) ).
fof(f538,plain,
( spl1_7
<=> ! [X1] : ~ ord_less_int(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).
fof(f426,plain,
! [X1] : ~ ord_less_int(X1,X1),
inference(equality_resolution,[],[f348]) ).
fof(f348,plain,
! [X0,X1] :
( X0 != X1
| ~ ord_less_int(X0,X1) ),
inference(cnf_transformation,[],[f234]) ).
fof(f536,plain,
spl1_6,
inference(avatar_split_clause,[],[f288,f534]) ).
fof(f288,plain,
! [X0] : ord_less_eq_int(X0,X0),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] : ord_less_eq_int(X0,X0),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X9] : ord_less_eq_int(X9,X9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_zle__refl) ).
fof(f532,plain,
spl1_5,
inference(avatar_split_clause,[],[f271,f529]) ).
fof(f271,plain,
ord_less_int(t,zero_zero_int),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
ord_less_int(t,zero_zero_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__096t_A_060_A0_096) ).
fof(f527,plain,
spl1_4,
inference(avatar_split_clause,[],[f270,f524]) ).
fof(f524,plain,
( spl1_4
<=> ord_less_int(t,one_one_int) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
fof(f270,plain,
ord_less_int(t,one_one_int),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
ord_less_int(t,one_one_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_calculation_I1_J) ).
fof(f522,plain,
~ spl1_3,
inference(avatar_split_clause,[],[f268,f519]) ).
fof(f268,plain,
~ ord_less_eq_int(one_one_int,t),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
~ ord_less_eq_int(one_one_int,t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5__096_126_A1_A_060_061_At_096) ).
fof(f517,plain,
( ~ spl1_2
| spl1_1 ),
inference(avatar_split_clause,[],[f512,f507,f514]) ).
fof(f507,plain,
( spl1_1
<=> ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f512,plain,
( ~ ord_less_int(plus_plus_int(one_one_int,power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat))),zero_zero_int)
| spl1_1 ),
inference(forward_demodulation,[],[f511,f281]) ).
fof(f511,plain,
( ~ ord_less_int(plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(bit0(bit1(pls))))),zero_zero_int)
| spl1_1 ),
inference(forward_demodulation,[],[f509,f327]) ).
fof(f509,plain,
( ~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int)
| spl1_1 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f510,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f267,f507]) ).
fof(f267,plain,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
inference(flattening,[],[f108]) ).
fof(f108,negated_conjecture,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
inference(negated_conjecture,[],[f107]) ).
fof(f107,conjecture,
ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM924+1 : TPTP v8.1.2. Released v5.3.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 3 14:28:37 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (30340)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36 % (30343)WARNING: value z3 for option sas not known
% 0.12/0.36 % (30341)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.36 % (30346)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.12/0.36 % (30344)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36 % (30347)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.12/0.36 % (30345)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.12/0.36 % (30342)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36 % (30343)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.18/0.37 TRYING [1]
% 0.18/0.37 TRYING [2]
% 0.18/0.39 TRYING [3]
% 0.18/0.39 TRYING [1]
% 0.18/0.39 TRYING [2]
% 0.18/0.39 TRYING [1]
% 0.18/0.40 % (30345)First to succeed.
% 0.18/0.40 % (30346)Also succeeded, but the first one will report.
% 0.18/0.40 TRYING [2]
% 0.18/0.40 TRYING [3]
% 0.18/0.41 % (30345)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30340"
% 0.18/0.41 % (30345)Refutation found. Thanks to Tanya!
% 0.18/0.41 % SZS status Theorem for theBenchmark
% 0.18/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.42 % (30345)------------------------------
% 0.18/0.42 % (30345)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.42 % (30345)Termination reason: Refutation
% 0.18/0.42
% 0.18/0.42 % (30345)Memory used [KB]: 1672
% 0.18/0.42 % (30345)Time elapsed: 0.052 s
% 0.18/0.42 % (30345)Instructions burned: 88 (million)
% 0.18/0.42 % (30340)Success in time 0.072 s
%------------------------------------------------------------------------------