TSTP Solution File: SET838-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET838-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n002.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 : Sat Sep 2 00:01:18 EDT 2023
% Result : Unsatisfiable 0.16s 0.45s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 351
% Syntax : Number of formulae : 543 ( 312 unt; 0 def)
% Number of atoms : 828 ( 44 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 413 ( 128 ~; 108 |; 0 &)
% ( 177 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 252 ( 250 usr; 178 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 14 con; 0-2 aty)
% Number of variables : 113 (; 113 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2211,plain,
$false,
inference(avatar_sat_refutation,[],[f1367,f1371,f1377,f1382,f1387,f1392,f1397,f1402,f1407,f1412,f1417,f1422,f1427,f1432,f1437,f1442,f1447,f1452,f1457,f1462,f1467,f1472,f1477,f1482,f1487,f1492,f1497,f1502,f1507,f1512,f1517,f1522,f1527,f1532,f1537,f1542,f1547,f1552,f1557,f1562,f1567,f1572,f1577,f1582,f1587,f1592,f1597,f1602,f1607,f1612,f1617,f1622,f1627,f1632,f1637,f1642,f1647,f1652,f1657,f1662,f1667,f1672,f1677,f1682,f1687,f1692,f1697,f1702,f1707,f1712,f1717,f1722,f1727,f1732,f1737,f1742,f1747,f1752,f1757,f1762,f1767,f1772,f1777,f1782,f1787,f1792,f1797,f1802,f1807,f1812,f1817,f1822,f1827,f1832,f1837,f1842,f1847,f1852,f1857,f1862,f1867,f1872,f1877,f1882,f1887,f1892,f1897,f1902,f1907,f1912,f1917,f1922,f1927,f1932,f1937,f1942,f1947,f1951,f1957,f1964,f1969,f1974,f1978,f1983,f1988,f1993,f1997,f2001,f2005,f2009,f2013,f2018,f2022,f2026,f2030,f2035,f2039,f2043,f2047,f2051,f2055,f2059,f2063,f2067,f2071,f2075,f2085,f2089,f2093,f2097,f2101,f2105,f2109,f2113,f2117,f2121,f2126,f2130,f2134,f2138,f2142,f2146,f2150,f2154,f2158,f2162,f2166,f2173,f2177,f2181,f2185,f2189,f2193,f2197,f2201,f2205,f2209,f2210]) ).
fof(f2210,plain,
( spl0_125
| ~ spl0_136
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f2167,f2123,f2032,f1985]) ).
fof(f1985,plain,
( spl0_125
<=> v_g(v_x) = v_xa(v_g(v_x)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f2032,plain,
( spl0_136
<=> v_xa(v_g(v_x)) = v_g(v_f(v_xa(v_g(v_x)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f2123,plain,
( spl0_157
<=> v_x = v_f(v_xa(v_g(v_x))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f2167,plain,
( v_g(v_x) = v_xa(v_g(v_x))
| ~ spl0_136
| ~ spl0_157 ),
inference(superposition,[],[f2034,f2125]) ).
fof(f2125,plain,
( v_x = v_f(v_xa(v_g(v_x)))
| ~ spl0_157 ),
inference(avatar_component_clause,[],[f2123]) ).
fof(f2034,plain,
( v_xa(v_g(v_x)) = v_g(v_f(v_xa(v_g(v_x))))
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f2032]) ).
fof(f2209,plain,
spl0_177,
inference(avatar_split_clause,[],[f484,f2207]) ).
fof(f2207,plain,
( spl0_177
<=> ! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_OrderedGroup_Osemigroup__mult(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f484,axiom,
! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_OrderedGroup_Osemigroup__mult(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_Numeral_Onumber__ring_4) ).
fof(f2205,plain,
spl0_176,
inference(avatar_split_clause,[],[f483,f2203]) ).
fof(f2203,plain,
( spl0_176
<=> ! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_Numeral_Onumber(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f483,axiom,
! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_Numeral_Onumber(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_Numeral_Onumber__ring_30) ).
fof(f2201,plain,
spl0_175,
inference(avatar_split_clause,[],[f482,f2199]) ).
fof(f2199,plain,
( spl0_175
<=> ! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_HOL_Otimes(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f482,axiom,
! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_HOL_Otimes(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_Numeral_Onumber__ring_3) ).
fof(f2197,plain,
spl0_174,
inference(avatar_split_clause,[],[f481,f2195]) ).
fof(f2195,plain,
( spl0_174
<=> ! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_Ring__and__Field_Ocomm__ring__1(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f481,axiom,
! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_Ring__and__Field_Ocomm__ring__1(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_Numeral_Onumber__ring_29) ).
fof(f2193,plain,
spl0_173,
inference(avatar_split_clause,[],[f480,f2191]) ).
fof(f2191,plain,
( spl0_173
<=> ! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f480,axiom,
! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_Numeral_Onumber__ring_28) ).
fof(f2189,plain,
spl0_172,
inference(avatar_split_clause,[],[f479,f2187]) ).
fof(f2187,plain,
( spl0_172
<=> ! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_Ring__and__Field_Oring__1(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f479,axiom,
! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_Ring__and__Field_Oring__1(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_Numeral_Onumber__ring_27) ).
fof(f2185,plain,
spl0_171,
inference(avatar_split_clause,[],[f478,f2183]) ).
fof(f2183,plain,
( spl0_171
<=> ! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_Ring__and__Field_Osemiring__1__cancel(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f478,axiom,
! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_Ring__and__Field_Osemiring__1__cancel(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_Numeral_Onumber__ring_26) ).
fof(f2181,plain,
spl0_170,
inference(avatar_split_clause,[],[f477,f2179]) ).
fof(f2179,plain,
( spl0_170
<=> ! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_Ring__and__Field_Ocomm__semiring__1(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f477,axiom,
! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_Ring__and__Field_Ocomm__semiring__1(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_Numeral_Onumber__ring_25) ).
fof(f2177,plain,
spl0_169,
inference(avatar_split_clause,[],[f476,f2175]) ).
fof(f2175,plain,
( spl0_169
<=> ! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_Ring__and__Field_Osemiring__1(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f476,axiom,
! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_Ring__and__Field_Osemiring__1(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_Numeral_Onumber__ring_24) ).
fof(f2173,plain,
spl0_168,
inference(avatar_split_clause,[],[f475,f2171]) ).
fof(f2171,plain,
( spl0_168
<=> ! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_OrderedGroup_Ocomm__monoid__mult(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f475,axiom,
! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_OrderedGroup_Ocomm__monoid__mult(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_Numeral_Onumber__ring_23) ).
fof(f2166,plain,
spl0_167,
inference(avatar_split_clause,[],[f474,f2164]) ).
fof(f2164,plain,
( spl0_167
<=> ! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_OrderedGroup_Omonoid__mult(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f474,axiom,
! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_OrderedGroup_Omonoid__mult(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_Numeral_Onumber__ring_22) ).
fof(f2162,plain,
spl0_166,
inference(avatar_split_clause,[],[f473,f2160]) ).
fof(f2160,plain,
( spl0_166
<=> ! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_Ring__and__Field_Oaxclass__0__neq__1(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f473,axiom,
! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_Ring__and__Field_Oaxclass__0__neq__1(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_Numeral_Onumber__ring_21) ).
fof(f2158,plain,
spl0_165,
inference(avatar_split_clause,[],[f472,f2156]) ).
fof(f2156,plain,
( spl0_165
<=> ! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_HOL_Oone(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f472,axiom,
! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_HOL_Oone(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_Numeral_Onumber__ring_20) ).
fof(f2154,plain,
spl0_164,
inference(avatar_split_clause,[],[f471,f2152]) ).
fof(f2152,plain,
( spl0_164
<=> ! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_OrderedGroup_Oab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f471,axiom,
! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_OrderedGroup_Oab__semigroup__add(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_Numeral_Onumber__ring_2) ).
fof(f2150,plain,
spl0_163,
inference(avatar_split_clause,[],[f470,f2148]) ).
fof(f2148,plain,
( spl0_163
<=> ! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_Ring__and__Field_Ocomm__ring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f470,axiom,
! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_Ring__and__Field_Ocomm__ring(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_Numeral_Onumber__ring_19) ).
fof(f2146,plain,
spl0_162,
inference(avatar_split_clause,[],[f469,f2144]) ).
fof(f2144,plain,
( spl0_162
<=> ! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f469,axiom,
! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_Numeral_Onumber__ring_18) ).
fof(f2142,plain,
spl0_161,
inference(avatar_split_clause,[],[f468,f2140]) ).
fof(f2140,plain,
( spl0_161
<=> ! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_Ring__and__Field_Oring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f468,axiom,
! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_Ring__and__Field_Oring(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_Numeral_Onumber__ring_17) ).
fof(f2138,plain,
spl0_160,
inference(avatar_split_clause,[],[f467,f2136]) ).
fof(f2136,plain,
( spl0_160
<=> ! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_Ring__and__Field_Osemiring__0__cancel(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f467,axiom,
! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_Ring__and__Field_Osemiring__0__cancel(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_Numeral_Onumber__ring_16) ).
fof(f2134,plain,
spl0_159,
inference(avatar_split_clause,[],[f466,f2132]) ).
fof(f2132,plain,
( spl0_159
<=> ! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_OrderedGroup_Oab__group__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f466,axiom,
! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_OrderedGroup_Oab__group__add(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_Numeral_Onumber__ring_15) ).
fof(f2130,plain,
spl0_158,
inference(avatar_split_clause,[],[f465,f2128]) ).
fof(f2128,plain,
( spl0_158
<=> ! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f465,axiom,
! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_Numeral_Onumber__ring_14) ).
fof(f2126,plain,
( spl0_157
| ~ spl0_2
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f2079,f2032,f1369,f2123]) ).
fof(f1369,plain,
( spl0_2
<=> ! [X41] :
( v_x = X41
| v_f(v_g(X41)) != X41 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f2079,plain,
( v_x = v_f(v_xa(v_g(v_x)))
| ~ spl0_2
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f2078]) ).
fof(f2078,plain,
( v_f(v_xa(v_g(v_x))) != v_f(v_xa(v_g(v_x)))
| v_x = v_f(v_xa(v_g(v_x)))
| ~ spl0_2
| ~ spl0_136 ),
inference(superposition,[],[f1370,f2034]) ).
fof(f1370,plain,
( ! [X41] :
( v_f(v_g(X41)) != X41
| v_x = X41 )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f1369]) ).
fof(f2121,plain,
spl0_156,
inference(avatar_split_clause,[],[f464,f2119]) ).
fof(f2119,plain,
( spl0_156
<=> ! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_OrderedGroup_Ocancel__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f464,axiom,
! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_OrderedGroup_Ocancel__semigroup__add(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_Numeral_Onumber__ring_13) ).
fof(f2117,plain,
spl0_155,
inference(avatar_split_clause,[],[f463,f2115]) ).
fof(f2115,plain,
( spl0_155
<=> ! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_HOL_Ominus(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f463,axiom,
! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_HOL_Ominus(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_Numeral_Onumber__ring_12) ).
fof(f2113,plain,
spl0_154,
inference(avatar_split_clause,[],[f462,f2111]) ).
fof(f2111,plain,
( spl0_154
<=> ! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_Ring__and__Field_Ocomm__semiring__0(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f462,axiom,
! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_Ring__and__Field_Ocomm__semiring__0(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_Numeral_Onumber__ring_11) ).
fof(f2109,plain,
spl0_153,
inference(avatar_split_clause,[],[f461,f2107]) ).
fof(f2107,plain,
( spl0_153
<=> ! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_Ring__and__Field_Osemiring__0(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f461,axiom,
! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_Ring__and__Field_Osemiring__0(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_Numeral_Onumber__ring_10) ).
fof(f2105,plain,
spl0_152,
inference(avatar_split_clause,[],[f460,f2103]) ).
fof(f2103,plain,
( spl0_152
<=> ! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_OrderedGroup_Osemigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f460,axiom,
! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_OrderedGroup_Osemigroup__add(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_Numeral_Onumber__ring_1) ).
fof(f2101,plain,
spl0_151,
inference(avatar_split_clause,[],[f459,f2099]) ).
fof(f2099,plain,
( spl0_151
<=> ! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_HOL_Oplus(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f459,axiom,
! [X53] :
( ~ class_Numeral_Onumber__ring(X53)
| class_HOL_Oplus(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_Numeral_Onumber__ring_0) ).
fof(f2097,plain,
spl0_150,
inference(avatar_split_clause,[],[f458,f2095]) ).
fof(f2095,plain,
( spl0_150
<=> ! [X53] :
( ~ class_LOrder_Omeet__semilorder(X53)
| class_Orderings_Oorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f458,axiom,
! [X53] :
( ~ class_LOrder_Omeet__semilorder(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_LOrder_Omeet__semilorder_1) ).
fof(f2093,plain,
spl0_149,
inference(avatar_split_clause,[],[f457,f2091]) ).
fof(f2091,plain,
( spl0_149
<=> ! [X53] :
( ~ class_LOrder_Omeet__semilorder(X53)
| class_Orderings_Oord(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f457,axiom,
! [X53] :
( ~ class_LOrder_Omeet__semilorder(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_LOrder_Omeet__semilorder_0) ).
fof(f2089,plain,
spl0_148,
inference(avatar_split_clause,[],[f456,f2087]) ).
fof(f2087,plain,
( spl0_148
<=> ! [X53] :
( ~ class_LOrder_Olorder(X53)
| class_LOrder_Ojoin__semilorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f456,axiom,
! [X53] :
( ~ class_LOrder_Olorder(X53)
| class_LOrder_Ojoin__semilorder(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_LOrder_Olorder_3) ).
fof(f2085,plain,
spl0_147,
inference(avatar_split_clause,[],[f455,f2083]) ).
fof(f2083,plain,
( spl0_147
<=> ! [X53] :
( ~ class_LOrder_Olorder(X53)
| class_Orderings_Oorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f455,axiom,
! [X53] :
( ~ class_LOrder_Olorder(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_LOrder_Olorder_2) ).
fof(f2075,plain,
spl0_146,
inference(avatar_split_clause,[],[f454,f2073]) ).
fof(f2073,plain,
( spl0_146
<=> ! [X53] :
( ~ class_LOrder_Olorder(X53)
| class_Orderings_Oord(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f454,axiom,
! [X53] :
( ~ class_LOrder_Olorder(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_LOrder_Olorder_1) ).
fof(f2071,plain,
spl0_145,
inference(avatar_split_clause,[],[f453,f2069]) ).
fof(f2069,plain,
( spl0_145
<=> ! [X53] :
( ~ class_LOrder_Olorder(X53)
| class_LOrder_Omeet__semilorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f453,axiom,
! [X53] :
( ~ class_LOrder_Olorder(X53)
| class_LOrder_Omeet__semilorder(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_LOrder_Olorder_0) ).
fof(f2067,plain,
spl0_144,
inference(avatar_split_clause,[],[f452,f2065]) ).
fof(f2065,plain,
( spl0_144
<=> ! [X53] :
( ~ class_LOrder_Ojoin__semilorder(X53)
| class_Orderings_Oorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f452,axiom,
! [X53] :
( ~ class_LOrder_Ojoin__semilorder(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_LOrder_Ojoin__semilorder_1) ).
fof(f2063,plain,
spl0_143,
inference(avatar_split_clause,[],[f451,f2061]) ).
fof(f2061,plain,
( spl0_143
<=> ! [X53] :
( ~ class_LOrder_Ojoin__semilorder(X53)
| class_Orderings_Oord(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f451,axiom,
! [X53] :
( ~ class_LOrder_Ojoin__semilorder(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsrel_LOrder_Ojoin__semilorder_0) ).
fof(f2059,plain,
spl0_142,
inference(avatar_split_clause,[],[f395,f2057]) ).
fof(f2057,plain,
( spl0_142
<=> ! [X52,X51] : class_Nat_Opower(tc_fun(X52,X51)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f395,axiom,
! [X51,X52] : class_Nat_Opower(tc_fun(X52,X51)),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_fun_1) ).
fof(f2055,plain,
spl0_141,
inference(avatar_split_clause,[],[f296,f2053]) ).
fof(f2053,plain,
( spl0_141
<=> ! [X2,X0] : c_in(X0,c_UNIV,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f296,axiom,
! [X2,X0] : c_in(X0,c_UNIV,X2),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',cls_Set_OUNIV__I_0) ).
fof(f2051,plain,
spl0_140,
inference(avatar_split_clause,[],[f264,f2049]) ).
fof(f2049,plain,
( spl0_140
<=> ! [X18] : ~ c_less(X18,X18,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f264,axiom,
! [X18] : ~ c_less(X18,X18,tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',cls_Nat_Oless__irrefl_0) ).
fof(f2047,plain,
spl0_139,
inference(avatar_split_clause,[],[f262,f2045]) ).
fof(f2045,plain,
( spl0_139
<=> ! [X18] : c_lessequals(c_0,X18,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f262,axiom,
! [X18] : c_lessequals(c_0,X18,tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',cls_Nat_Ole0_0) ).
fof(f2043,plain,
spl0_138,
inference(avatar_split_clause,[],[f238,f2041]) ).
fof(f2041,plain,
( spl0_138
<=> ! [X12] : c_Divides_Oop_Advd(c_1,X12,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f238,axiom,
! [X12] : c_Divides_Oop_Advd(c_1,X12,tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',cls_IntDiv_Ozdvd__1__left_0) ).
fof(f2039,plain,
spl0_137,
inference(avatar_split_clause,[],[f237,f2037]) ).
fof(f2037,plain,
( spl0_137
<=> ! [X12] : c_Divides_Oop_Advd(X12,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f237,axiom,
! [X12] : c_Divides_Oop_Advd(X12,c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',cls_IntDiv_Ozdvd__0__right_0) ).
fof(f2035,plain,
( spl0_136
| ~ spl0_1
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f1959,f1955,f1364,f2032]) ).
fof(f1364,plain,
( spl0_1
<=> v_x = v_f(v_g(v_x)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1955,plain,
( spl0_119
<=> ! [X41] :
( v_g(v_f(X41)) != X41
| v_xa(X41) = v_g(v_f(v_xa(X41))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f1959,plain,
( v_xa(v_g(v_x)) = v_g(v_f(v_xa(v_g(v_x))))
| ~ spl0_1
| ~ spl0_119 ),
inference(trivial_inequality_removal,[],[f1958]) ).
fof(f1958,plain,
( v_g(v_x) != v_g(v_x)
| v_xa(v_g(v_x)) = v_g(v_f(v_xa(v_g(v_x))))
| ~ spl0_1
| ~ spl0_119 ),
inference(superposition,[],[f1956,f1366]) ).
fof(f1366,plain,
( v_x = v_f(v_g(v_x))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f1364]) ).
fof(f1956,plain,
( ! [X41] :
( v_g(v_f(X41)) != X41
| v_xa(X41) = v_g(v_f(v_xa(X41))) )
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f1955]) ).
fof(f2030,plain,
spl0_135,
inference(avatar_split_clause,[],[f221,f2028]) ).
fof(f2028,plain,
( spl0_135
<=> ! [X12] : c_Divides_Oop_Advd(X12,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f221,axiom,
! [X12] : c_Divides_Oop_Advd(X12,c_0,tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',cls_Divides_Odvd__0__right_0) ).
fof(f2026,plain,
spl0_134,
inference(avatar_split_clause,[],[f174,f2024]) ).
fof(f2024,plain,
( spl0_134
<=> ! [X2,X4] : ~ c_in(X4,c_emptyset,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f174,axiom,
! [X2,X4] : ~ c_in(X4,c_emptyset,X2),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',cls_Set_OemptyE_0) ).
fof(f2022,plain,
spl0_133,
inference(avatar_split_clause,[],[f120,f2020]) ).
fof(f2020,plain,
( spl0_133
<=> ! [X18] : ~ c_less(X18,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f120,axiom,
! [X18] : ~ c_less(X18,c_0,tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',cls_Nat_Onot__less0__iff1_0) ).
fof(f2018,plain,
spl0_132,
inference(avatar_split_clause,[],[f115,f2015]) ).
fof(f2015,plain,
( spl0_132
<=> c_less(c_0,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f115,axiom,
c_less(c_0,c_1,tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',cls_Nat_Oless__one__iff2_0) ).
fof(f2013,plain,
spl0_131,
inference(avatar_split_clause,[],[f103,f2011]) ).
fof(f2011,plain,
( spl0_131
<=> ! [X12] : c_0 != c_Suc(X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f103,axiom,
! [X12] : c_0 != c_Suc(X12),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',cls_Nat_OZero__not__Suc__iff1_0) ).
fof(f2009,plain,
spl0_130,
inference(avatar_split_clause,[],[f449,f2007]) ).
fof(f2007,plain,
( spl0_130
<=> ! [X51] : class_Nat_Opower(tc_set(X51)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f449,axiom,
! [X51] : class_Nat_Opower(tc_set(X51)),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_set_4) ).
fof(f2005,plain,
spl0_129,
inference(avatar_split_clause,[],[f447,f2003]) ).
fof(f2003,plain,
( spl0_129
<=> ! [X51] : class_Orderings_Oorder(tc_set(X51)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f447,axiom,
! [X51] : class_Orderings_Oorder(tc_set(X51)),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_set_2) ).
fof(f2001,plain,
spl0_128,
inference(avatar_split_clause,[],[f446,f1999]) ).
fof(f1999,plain,
( spl0_128
<=> ! [X51] : class_Orderings_Oord(tc_set(X51)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f446,axiom,
! [X51] : class_Orderings_Oord(tc_set(X51)),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_set_1) ).
fof(f1997,plain,
spl0_127,
inference(avatar_split_clause,[],[f445,f1995]) ).
fof(f1995,plain,
( spl0_127
<=> ! [X51] : class_HOL_Ominus(tc_set(X51)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f445,axiom,
! [X51] : class_HOL_Ominus(tc_set(X51)),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_set_0) ).
fof(f1993,plain,
spl0_126,
inference(avatar_split_clause,[],[f324,f1990]) ).
fof(f1990,plain,
( spl0_126
<=> c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f324,axiom,
c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',cls_Wellfounded__Relations_Owf__less__than_0) ).
fof(f1988,plain,
( ~ spl0_125
| ~ spl0_1
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f1953,f1949,f1364,f1985]) ).
fof(f1949,plain,
( spl0_118
<=> ! [X41] :
( v_xa(X41) != X41
| v_g(v_f(X41)) != X41 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f1953,plain,
( v_g(v_x) != v_xa(v_g(v_x))
| ~ spl0_1
| ~ spl0_118 ),
inference(trivial_inequality_removal,[],[f1952]) ).
fof(f1952,plain,
( v_g(v_x) != v_g(v_x)
| v_g(v_x) != v_xa(v_g(v_x))
| ~ spl0_1
| ~ spl0_118 ),
inference(superposition,[],[f1950,f1366]) ).
fof(f1950,plain,
( ! [X41] :
( v_g(v_f(X41)) != X41
| v_xa(X41) != X41 )
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f1949]) ).
fof(f1983,plain,
spl0_124,
inference(avatar_split_clause,[],[f322,f1980]) ).
fof(f1980,plain,
( spl0_124
<=> c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f322,axiom,
c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',cls_Wellfounded__Relations_Otrans__less__than_0) ).
fof(f1978,plain,
spl0_123,
inference(avatar_split_clause,[],[f321,f1976]) ).
fof(f1976,plain,
( spl0_123
<=> ! [X2] : c_Wellfounded__Recursion_Owf(c_emptyset,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f321,axiom,
! [X2] : c_Wellfounded__Recursion_Owf(c_emptyset,X2),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',cls_Wellfounded__Recursion_Owf__empty_0) ).
fof(f1974,plain,
~ spl0_122,
inference(avatar_split_clause,[],[f166,f1971]) ).
fof(f1971,plain,
( spl0_122
<=> c_emptyset = c_UNIV ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f166,axiom,
c_emptyset != c_UNIV,
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',cls_Set_OUNIV__not__empty__iff1_0) ).
fof(f1969,plain,
~ spl0_121,
inference(avatar_split_clause,[],[f121,f1966]) ).
fof(f1966,plain,
( spl0_121
<=> c_Numeral_Obit_OB0 = c_Numeral_Obit_OB1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f121,axiom,
c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1,
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',cls_Numeral_Obit_Odistinct__1__iff1_0) ).
fof(f1964,plain,
~ spl0_120,
inference(avatar_split_clause,[],[f29,f1961]) ).
fof(f1961,plain,
( spl0_120
<=> c_Extraction_Osumbool_OLeft = c_Extraction_Osumbool_ORight ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f29,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',cls_Extraction_Osumbool_Odistinct__1__iff1_0) ).
fof(f1957,plain,
spl0_119,
inference(avatar_split_clause,[],[f1360,f1955]) ).
fof(f1360,axiom,
! [X41] :
( v_g(v_f(X41)) != X41
| v_xa(X41) = v_g(v_f(v_xa(X41))) ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',cls_conjecture_2) ).
fof(f1951,plain,
spl0_118,
inference(avatar_split_clause,[],[f1361,f1949]) ).
fof(f1361,axiom,
! [X41] :
( v_xa(X41) != X41
| v_g(v_f(X41)) != X41 ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',cls_conjecture_3) ).
fof(f1947,plain,
spl0_117,
inference(avatar_split_clause,[],[f443,f1944]) ).
fof(f1944,plain,
( spl0_117
<=> class_HOL_Ominus(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f443,axiom,
class_HOL_Ominus(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_9) ).
fof(f1942,plain,
spl0_116,
inference(avatar_split_clause,[],[f442,f1939]) ).
fof(f1939,plain,
( spl0_116
<=> class_Wellfounded__Recursion_Owellorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f442,axiom,
class_Wellfounded__Recursion_Owellorder(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_8) ).
fof(f1937,plain,
spl0_115,
inference(avatar_split_clause,[],[f441,f1934]) ).
fof(f1934,plain,
( spl0_115
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f441,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_7) ).
fof(f1932,plain,
spl0_114,
inference(avatar_split_clause,[],[f440,f1929]) ).
fof(f1929,plain,
( spl0_114
<=> class_LOrder_Olorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f440,axiom,
class_LOrder_Olorder(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_6) ).
fof(f1927,plain,
spl0_113,
inference(avatar_split_clause,[],[f439,f1924]) ).
fof(f1924,plain,
( spl0_113
<=> class_LOrder_Ojoin__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f439,axiom,
class_LOrder_Ojoin__semilorder(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_5) ).
fof(f1922,plain,
spl0_112,
inference(avatar_split_clause,[],[f438,f1919]) ).
fof(f1919,plain,
( spl0_112
<=> class_Parity_Oeven__odd(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f438,axiom,
class_Parity_Oeven__odd(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_47) ).
fof(f1917,plain,
spl0_111,
inference(avatar_split_clause,[],[f437,f1914]) ).
fof(f1914,plain,
( spl0_111
<=> class_Numeral_Onumber(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f437,axiom,
class_Numeral_Onumber(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_46) ).
fof(f1912,plain,
spl0_110,
inference(avatar_split_clause,[],[f436,f1909]) ).
fof(f1909,plain,
( spl0_110
<=> class_Power_Orecpower(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f436,axiom,
class_Power_Orecpower(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_45) ).
fof(f1907,plain,
spl0_109,
inference(avatar_split_clause,[],[f435,f1904]) ).
fof(f1904,plain,
( spl0_109
<=> class_Divides_Odiv(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f435,axiom,
class_Divides_Odiv(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_44) ).
fof(f1902,plain,
spl0_108,
inference(avatar_split_clause,[],[f434,f1899]) ).
fof(f1899,plain,
( spl0_108
<=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f434,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_43) ).
fof(f1897,plain,
spl0_107,
inference(avatar_split_clause,[],[f433,f1894]) ).
fof(f1894,plain,
( spl0_107
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f433,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_42) ).
fof(f1892,plain,
spl0_106,
inference(avatar_split_clause,[],[f432,f1889]) ).
fof(f1889,plain,
( spl0_106
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f432,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_41) ).
fof(f1887,plain,
spl0_105,
inference(avatar_split_clause,[],[f431,f1884]) ).
fof(f1884,plain,
( spl0_105
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f431,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_40) ).
fof(f1882,plain,
spl0_104,
inference(avatar_split_clause,[],[f430,f1879]) ).
fof(f1879,plain,
( spl0_104
<=> class_LOrder_Omeet__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f430,axiom,
class_LOrder_Omeet__semilorder(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_4) ).
fof(f1877,plain,
spl0_103,
inference(avatar_split_clause,[],[f429,f1874]) ).
fof(f1874,plain,
( spl0_103
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f429,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_39) ).
fof(f1872,plain,
spl0_102,
inference(avatar_split_clause,[],[f428,f1869]) ).
fof(f1869,plain,
( spl0_102
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f428,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_38) ).
fof(f1867,plain,
spl0_101,
inference(avatar_split_clause,[],[f427,f1864]) ).
fof(f1864,plain,
( spl0_101
<=> class_Ring__and__Field_Opordered__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f427,axiom,
class_Ring__and__Field_Opordered__semiring(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_37) ).
fof(f1862,plain,
spl0_100,
inference(avatar_split_clause,[],[f426,f1859]) ).
fof(f1859,plain,
( spl0_100
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f426,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_36) ).
fof(f1857,plain,
spl0_99,
inference(avatar_split_clause,[],[f425,f1854]) ).
fof(f1854,plain,
( spl0_99
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f425,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_35) ).
fof(f1852,plain,
spl0_98,
inference(avatar_split_clause,[],[f424,f1849]) ).
fof(f1849,plain,
( spl0_98
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f424,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_34) ).
fof(f1847,plain,
spl0_97,
inference(avatar_split_clause,[],[f423,f1844]) ).
fof(f1844,plain,
( spl0_97
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f423,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_33) ).
fof(f1842,plain,
spl0_96,
inference(avatar_split_clause,[],[f422,f1839]) ).
fof(f1839,plain,
( spl0_96
<=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f422,axiom,
class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_32) ).
fof(f1837,plain,
spl0_95,
inference(avatar_split_clause,[],[f421,f1834]) ).
fof(f1834,plain,
( spl0_95
<=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f421,axiom,
class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_31) ).
fof(f1832,plain,
spl0_94,
inference(avatar_split_clause,[],[f420,f1829]) ).
fof(f1829,plain,
( spl0_94
<=> class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f420,axiom,
class_Ring__and__Field_Osemiring__1__cancel(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_30) ).
fof(f1827,plain,
spl0_93,
inference(avatar_split_clause,[],[f419,f1824]) ).
fof(f1824,plain,
( spl0_93
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f419,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_3) ).
fof(f1822,plain,
spl0_92,
inference(avatar_split_clause,[],[f418,f1819]) ).
fof(f1819,plain,
( spl0_92
<=> class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f418,axiom,
class_Ring__and__Field_Osemiring__0__cancel(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_29) ).
fof(f1817,plain,
spl0_91,
inference(avatar_split_clause,[],[f417,f1814]) ).
fof(f1814,plain,
( spl0_91
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f417,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_28) ).
fof(f1812,plain,
spl0_90,
inference(avatar_split_clause,[],[f416,f1809]) ).
fof(f1809,plain,
( spl0_90
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f416,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_27) ).
fof(f1807,plain,
spl0_89,
inference(avatar_split_clause,[],[f415,f1804]) ).
fof(f1804,plain,
( spl0_89
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f415,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_26) ).
fof(f1802,plain,
spl0_88,
inference(avatar_split_clause,[],[f414,f1799]) ).
fof(f1799,plain,
( spl0_88
<=> class_Ring__and__Field_Osemiring__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f414,axiom,
class_Ring__and__Field_Osemiring__1(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_25) ).
fof(f1797,plain,
spl0_87,
inference(avatar_split_clause,[],[f413,f1794]) ).
fof(f1794,plain,
( spl0_87
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f413,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_24) ).
fof(f1792,plain,
spl0_86,
inference(avatar_split_clause,[],[f412,f1789]) ).
fof(f1789,plain,
( spl0_86
<=> class_OrderedGroup_Omonoid__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f412,axiom,
class_OrderedGroup_Omonoid__mult(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_23) ).
fof(f1787,plain,
spl0_85,
inference(avatar_split_clause,[],[f411,f1784]) ).
fof(f1784,plain,
( spl0_85
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f411,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_22) ).
fof(f1782,plain,
spl0_84,
inference(avatar_split_clause,[],[f410,f1779]) ).
fof(f1779,plain,
( spl0_84
<=> class_Ring__and__Field_Osemiring__0(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f410,axiom,
class_Ring__and__Field_Osemiring__0(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_21) ).
fof(f1777,plain,
spl0_83,
inference(avatar_split_clause,[],[f409,f1774]) ).
fof(f1774,plain,
( spl0_83
<=> class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f409,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_20) ).
fof(f1772,plain,
spl0_82,
inference(avatar_split_clause,[],[f408,f1769]) ).
fof(f1769,plain,
( spl0_82
<=> class_Orderings_Oord(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f408,axiom,
class_Orderings_Oord(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_2) ).
fof(f1767,plain,
spl0_81,
inference(avatar_split_clause,[],[f407,f1764]) ).
fof(f1764,plain,
( spl0_81
<=> class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f407,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_19) ).
fof(f1762,plain,
spl0_80,
inference(avatar_split_clause,[],[f406,f1759]) ).
fof(f1759,plain,
( spl0_80
<=> class_Ring__and__Field_Osemiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f406,axiom,
class_Ring__and__Field_Osemiring(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_18) ).
fof(f1757,plain,
spl0_79,
inference(avatar_split_clause,[],[f405,f1754]) ).
fof(f1754,plain,
( spl0_79
<=> class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f405,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_17) ).
fof(f1752,plain,
spl0_78,
inference(avatar_split_clause,[],[f404,f1749]) ).
fof(f1749,plain,
( spl0_78
<=> class_OrderedGroup_Osemigroup__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f404,axiom,
class_OrderedGroup_Osemigroup__mult(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_16) ).
fof(f1747,plain,
spl0_77,
inference(avatar_split_clause,[],[f403,f1744]) ).
fof(f1744,plain,
( spl0_77
<=> class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f403,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_15) ).
fof(f1742,plain,
spl0_76,
inference(avatar_split_clause,[],[f402,f1739]) ).
fof(f1739,plain,
( spl0_76
<=> class_OrderedGroup_Osemigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f402,axiom,
class_OrderedGroup_Osemigroup__add(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_14) ).
fof(f1737,plain,
spl0_75,
inference(avatar_split_clause,[],[f401,f1734]) ).
fof(f1734,plain,
( spl0_75
<=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f401,axiom,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_13) ).
fof(f1732,plain,
spl0_74,
inference(avatar_split_clause,[],[f400,f1729]) ).
fof(f1729,plain,
( spl0_74
<=> class_Nat_Opower(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f400,axiom,
class_Nat_Opower(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_12) ).
fof(f1727,plain,
spl0_73,
inference(avatar_split_clause,[],[f399,f1724]) ).
fof(f1724,plain,
( spl0_73
<=> class_HOL_Otimes(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f399,axiom,
class_HOL_Otimes(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_11) ).
fof(f1722,plain,
spl0_72,
inference(avatar_split_clause,[],[f398,f1719]) ).
fof(f1719,plain,
( spl0_72
<=> class_HOL_Oplus(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f398,axiom,
class_HOL_Oplus(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_10) ).
fof(f1717,plain,
spl0_71,
inference(avatar_split_clause,[],[f397,f1714]) ).
fof(f1714,plain,
( spl0_71
<=> class_HOL_Ozero(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f397,axiom,
class_HOL_Ozero(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_1) ).
fof(f1712,plain,
spl0_70,
inference(avatar_split_clause,[],[f396,f1709]) ).
fof(f1709,plain,
( spl0_70
<=> class_HOL_Oone(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f396,axiom,
class_HOL_Oone(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_nat_0) ).
fof(f1707,plain,
spl0_69,
inference(avatar_split_clause,[],[f393,f1704]) ).
fof(f1704,plain,
( spl0_69
<=> class_Finite__Set_Ofinite(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f393,axiom,
class_Finite__Set_Ofinite(tc_bool),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_bool_0) ).
fof(f1702,plain,
spl0_68,
inference(avatar_split_clause,[],[f392,f1699]) ).
fof(f1699,plain,
( spl0_68
<=> class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f392,axiom,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_Product____Type__Ounit_0) ).
fof(f1697,plain,
spl0_67,
inference(avatar_split_clause,[],[f391,f1694]) ).
fof(f1694,plain,
( spl0_67
<=> class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f391,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_9) ).
fof(f1692,plain,
spl0_66,
inference(avatar_split_clause,[],[f390,f1689]) ).
fof(f1689,plain,
( spl0_66
<=> class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f390,axiom,
class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_8) ).
fof(f1687,plain,
spl0_65,
inference(avatar_split_clause,[],[f389,f1684]) ).
fof(f1684,plain,
( spl0_65
<=> class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f389,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_7) ).
fof(f1682,plain,
spl0_64,
inference(avatar_split_clause,[],[f388,f1679]) ).
fof(f1679,plain,
( spl0_64
<=> class_Parity_Oeven__odd(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f388,axiom,
class_Parity_Oeven__odd(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_64) ).
fof(f1677,plain,
spl0_63,
inference(avatar_split_clause,[],[f387,f1674]) ).
fof(f1674,plain,
( spl0_63
<=> class_Power_Orecpower(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f387,axiom,
class_Power_Orecpower(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_63) ).
fof(f1672,plain,
spl0_62,
inference(avatar_split_clause,[],[f386,f1669]) ).
fof(f1669,plain,
( spl0_62
<=> class_Nat_Opower(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f386,axiom,
class_Nat_Opower(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_62) ).
fof(f1667,plain,
spl0_61,
inference(avatar_split_clause,[],[f385,f1664]) ).
fof(f1664,plain,
( spl0_61
<=> class_Divides_Odiv(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f385,axiom,
class_Divides_Odiv(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_61) ).
fof(f1662,plain,
spl0_60,
inference(avatar_split_clause,[],[f384,f1659]) ).
fof(f1659,plain,
( spl0_60
<=> class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f384,axiom,
class_Numeral_Onumber__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_60) ).
fof(f1657,plain,
spl0_59,
inference(avatar_split_clause,[],[f383,f1654]) ).
fof(f1654,plain,
( spl0_59
<=> class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f383,axiom,
class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_6) ).
fof(f1652,plain,
spl0_58,
inference(avatar_split_clause,[],[f382,f1649]) ).
fof(f1649,plain,
( spl0_58
<=> class_Numeral_Onumber(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f382,axiom,
class_Numeral_Onumber(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_59) ).
fof(f1647,plain,
spl0_57,
inference(avatar_split_clause,[],[f381,f1644]) ).
fof(f1644,plain,
( spl0_57
<=> class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f381,axiom,
class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_58) ).
fof(f1642,plain,
spl0_56,
inference(avatar_split_clause,[],[f380,f1639]) ).
fof(f1639,plain,
( spl0_56
<=> class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f380,axiom,
class_Ring__and__Field_Oidom(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_57) ).
fof(f1637,plain,
spl0_55,
inference(avatar_split_clause,[],[f379,f1634]) ).
fof(f1634,plain,
( spl0_55
<=> class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f379,axiom,
class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_56) ).
fof(f1632,plain,
spl0_54,
inference(avatar_split_clause,[],[f378,f1629]) ).
fof(f1629,plain,
( spl0_54
<=> class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f378,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_55) ).
fof(f1627,plain,
spl0_53,
inference(avatar_split_clause,[],[f377,f1624]) ).
fof(f1624,plain,
( spl0_53
<=> class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f377,axiom,
class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_54) ).
fof(f1622,plain,
spl0_52,
inference(avatar_split_clause,[],[f376,f1619]) ).
fof(f1619,plain,
( spl0_52
<=> class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f376,axiom,
class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_53) ).
fof(f1617,plain,
spl0_51,
inference(avatar_split_clause,[],[f375,f1614]) ).
fof(f1614,plain,
( spl0_51
<=> class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f375,axiom,
class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_52) ).
fof(f1612,plain,
spl0_50,
inference(avatar_split_clause,[],[f374,f1609]) ).
fof(f1609,plain,
( spl0_50
<=> class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f374,axiom,
class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_51) ).
fof(f1607,plain,
spl0_49,
inference(avatar_split_clause,[],[f373,f1604]) ).
fof(f1604,plain,
( spl0_49
<=> class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f373,axiom,
class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_50) ).
fof(f1602,plain,
spl0_48,
inference(avatar_split_clause,[],[f372,f1599]) ).
fof(f1599,plain,
( spl0_48
<=> class_Orderings_Oord(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f372,axiom,
class_Orderings_Oord(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_5) ).
fof(f1597,plain,
spl0_47,
inference(avatar_split_clause,[],[f371,f1594]) ).
fof(f1594,plain,
( spl0_47
<=> class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f371,axiom,
class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_49) ).
fof(f1592,plain,
spl0_46,
inference(avatar_split_clause,[],[f370,f1589]) ).
fof(f1589,plain,
( spl0_46
<=> class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f370,axiom,
class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_48) ).
fof(f1587,plain,
spl0_45,
inference(avatar_split_clause,[],[f369,f1584]) ).
fof(f1584,plain,
( spl0_45
<=> class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f369,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_47) ).
fof(f1582,plain,
spl0_44,
inference(avatar_split_clause,[],[f368,f1579]) ).
fof(f1579,plain,
( spl0_44
<=> class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f368,axiom,
class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_46) ).
fof(f1577,plain,
spl0_43,
inference(avatar_split_clause,[],[f367,f1574]) ).
fof(f1574,plain,
( spl0_43
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f367,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_45) ).
fof(f1572,plain,
spl0_42,
inference(avatar_split_clause,[],[f366,f1569]) ).
fof(f1569,plain,
( spl0_42
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f366,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_44) ).
fof(f1567,plain,
spl0_41,
inference(avatar_split_clause,[],[f365,f1564]) ).
fof(f1564,plain,
( spl0_41
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f365,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_43) ).
fof(f1562,plain,
spl0_40,
inference(avatar_split_clause,[],[f364,f1559]) ).
fof(f1559,plain,
( spl0_40
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f364,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_42) ).
fof(f1557,plain,
spl0_39,
inference(avatar_split_clause,[],[f363,f1554]) ).
fof(f1554,plain,
( spl0_39
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f363,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_41) ).
fof(f1552,plain,
spl0_38,
inference(avatar_split_clause,[],[f362,f1549]) ).
fof(f1549,plain,
( spl0_38
<=> class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f362,axiom,
class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_40) ).
fof(f1547,plain,
spl0_37,
inference(avatar_split_clause,[],[f361,f1544]) ).
fof(f1544,plain,
( spl0_37
<=> class_HOL_Ozero(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f361,axiom,
class_HOL_Ozero(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_4) ).
fof(f1542,plain,
spl0_36,
inference(avatar_split_clause,[],[f360,f1539]) ).
fof(f1539,plain,
( spl0_36
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f360,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_39) ).
fof(f1537,plain,
spl0_35,
inference(avatar_split_clause,[],[f359,f1534]) ).
fof(f1534,plain,
( spl0_35
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f359,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_38) ).
fof(f1532,plain,
spl0_34,
inference(avatar_split_clause,[],[f358,f1529]) ).
fof(f1529,plain,
( spl0_34
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f358,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_37) ).
fof(f1527,plain,
spl0_33,
inference(avatar_split_clause,[],[f357,f1524]) ).
fof(f1524,plain,
( spl0_33
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f357,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_36) ).
fof(f1522,plain,
spl0_32,
inference(avatar_split_clause,[],[f356,f1519]) ).
fof(f1519,plain,
( spl0_32
<=> class_Orderings_Olinorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f356,axiom,
class_Orderings_Olinorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_35) ).
fof(f1517,plain,
spl0_31,
inference(avatar_split_clause,[],[f355,f1514]) ).
fof(f1514,plain,
( spl0_31
<=> class_LOrder_Olorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f355,axiom,
class_LOrder_Olorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_34) ).
fof(f1512,plain,
spl0_30,
inference(avatar_split_clause,[],[f354,f1509]) ).
fof(f1509,plain,
( spl0_30
<=> class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f354,axiom,
class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_33) ).
fof(f1507,plain,
spl0_29,
inference(avatar_split_clause,[],[f353,f1504]) ).
fof(f1504,plain,
( spl0_29
<=> class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f353,axiom,
class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_32) ).
fof(f1502,plain,
spl0_28,
inference(avatar_split_clause,[],[f352,f1499]) ).
fof(f1499,plain,
( spl0_28
<=> class_Orderings_Oorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f352,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_31) ).
fof(f1497,plain,
spl0_27,
inference(avatar_split_clause,[],[f351,f1494]) ).
fof(f1494,plain,
( spl0_27
<=> class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f351,axiom,
class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_30) ).
fof(f1492,plain,
spl0_26,
inference(avatar_split_clause,[],[f350,f1489]) ).
fof(f1489,plain,
( spl0_26
<=> class_HOL_Otimes(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f350,axiom,
class_HOL_Otimes(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_3) ).
fof(f1487,plain,
spl0_25,
inference(avatar_split_clause,[],[f349,f1484]) ).
fof(f1484,plain,
( spl0_25
<=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f349,axiom,
class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_29) ).
fof(f1482,plain,
spl0_24,
inference(avatar_split_clause,[],[f348,f1479]) ).
fof(f1479,plain,
( spl0_24
<=> class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f348,axiom,
class_Ring__and__Field_Oring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_28) ).
fof(f1477,plain,
spl0_23,
inference(avatar_split_clause,[],[f347,f1474]) ).
fof(f1474,plain,
( spl0_23
<=> class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f347,axiom,
class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_27) ).
fof(f1472,plain,
spl0_22,
inference(avatar_split_clause,[],[f346,f1469]) ).
fof(f1469,plain,
( spl0_22
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f346,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_26) ).
fof(f1467,plain,
spl0_21,
inference(avatar_split_clause,[],[f345,f1464]) ).
fof(f1464,plain,
( spl0_21
<=> class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f345,axiom,
class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_25) ).
fof(f1462,plain,
spl0_20,
inference(avatar_split_clause,[],[f344,f1459]) ).
fof(f1459,plain,
( spl0_20
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f344,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_24) ).
fof(f1457,plain,
spl0_19,
inference(avatar_split_clause,[],[f343,f1454]) ).
fof(f1454,plain,
( spl0_19
<=> class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f343,axiom,
class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_23) ).
fof(f1452,plain,
spl0_18,
inference(avatar_split_clause,[],[f342,f1449]) ).
fof(f1449,plain,
( spl0_18
<=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f342,axiom,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_22) ).
fof(f1447,plain,
spl0_17,
inference(avatar_split_clause,[],[f341,f1444]) ).
fof(f1444,plain,
( spl0_17
<=> class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f341,axiom,
class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_21) ).
fof(f1442,plain,
spl0_16,
inference(avatar_split_clause,[],[f340,f1439]) ).
fof(f1439,plain,
( spl0_16
<=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f340,axiom,
class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_20) ).
fof(f1437,plain,
spl0_15,
inference(avatar_split_clause,[],[f339,f1434]) ).
fof(f1434,plain,
( spl0_15
<=> class_HOL_Oplus(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f339,axiom,
class_HOL_Oplus(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_2) ).
fof(f1432,plain,
spl0_14,
inference(avatar_split_clause,[],[f338,f1429]) ).
fof(f1429,plain,
( spl0_14
<=> class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f338,axiom,
class_Ring__and__Field_Oring(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_19) ).
fof(f1427,plain,
spl0_13,
inference(avatar_split_clause,[],[f337,f1424]) ).
fof(f1424,plain,
( spl0_13
<=> class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f337,axiom,
class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_18) ).
fof(f1422,plain,
spl0_12,
inference(avatar_split_clause,[],[f336,f1419]) ).
fof(f1419,plain,
( spl0_12
<=> class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f336,axiom,
class_OrderedGroup_Oab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_17) ).
fof(f1417,plain,
spl0_11,
inference(avatar_split_clause,[],[f335,f1414]) ).
fof(f1414,plain,
( spl0_11
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f335,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_16) ).
fof(f1412,plain,
spl0_10,
inference(avatar_split_clause,[],[f334,f1409]) ).
fof(f1409,plain,
( spl0_10
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f334,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_15) ).
fof(f1407,plain,
spl0_9,
inference(avatar_split_clause,[],[f333,f1404]) ).
fof(f1404,plain,
( spl0_9
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f333,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_14) ).
fof(f1402,plain,
spl0_8,
inference(avatar_split_clause,[],[f332,f1399]) ).
fof(f1399,plain,
( spl0_8
<=> class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f332,axiom,
class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_13) ).
fof(f1397,plain,
spl0_7,
inference(avatar_split_clause,[],[f331,f1394]) ).
fof(f1394,plain,
( spl0_7
<=> class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f331,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_12) ).
fof(f1392,plain,
spl0_6,
inference(avatar_split_clause,[],[f330,f1389]) ).
fof(f1389,plain,
( spl0_6
<=> class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f330,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_11) ).
fof(f1387,plain,
spl0_5,
inference(avatar_split_clause,[],[f329,f1384]) ).
fof(f1384,plain,
( spl0_5
<=> class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f329,axiom,
class_Ring__and__Field_Osemiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_10) ).
fof(f1382,plain,
spl0_4,
inference(avatar_split_clause,[],[f328,f1379]) ).
fof(f1379,plain,
( spl0_4
<=> class_HOL_Oone(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f328,axiom,
class_HOL_Oone(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_1) ).
fof(f1377,plain,
spl0_3,
inference(avatar_split_clause,[],[f327,f1374]) ).
fof(f1374,plain,
( spl0_3
<=> class_HOL_Ominus(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f327,axiom,
class_HOL_Ominus(tc_IntDef_Oint),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',clsarity_IntDef__Oint_0) ).
fof(f1371,plain,
spl0_2,
inference(avatar_split_clause,[],[f1359,f1369]) ).
fof(f1359,axiom,
! [X41] :
( v_x = X41
| v_f(v_g(X41)) != X41 ),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',cls_conjecture_1) ).
fof(f1367,plain,
spl0_1,
inference(avatar_split_clause,[],[f1358,f1364]) ).
fof(f1358,axiom,
v_x = v_f(v_g(v_x)),
file('/export/starexec/sandbox/tmp/tmp.RwnDulMBln/Vampire---4.8_27892',cls_conjecture_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET838-1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.11/0.33 % Computer : n002.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Aug 30 15:54:21 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.16/0.39 % (27998)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.42 % (28002)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.16/0.42 % (28005)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 Vampire---4 for (497ds/0Mi)
% 0.16/0.42 % (28000)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.16/0.42 % (28003)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 Vampire---4 for (531ds/0Mi)
% 0.16/0.42 % (28001)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 Vampire---4 for (569ds/0Mi)
% 0.16/0.42 % (28004)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 Vampire---4 for (522ds/0Mi)
% 0.16/0.42 % (27999)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.16/0.44 % (28003)First to succeed.
% 0.16/0.45 % (28003)Refutation found. Thanks to Tanya!
% 0.16/0.45 % SZS status Unsatisfiable for Vampire---4
% 0.16/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.16/0.45 % (28003)------------------------------
% 0.16/0.45 % (28003)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.16/0.45 % (28003)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.16/0.45 % (28003)Termination reason: Refutation
% 0.16/0.45
% 0.16/0.45 % (28003)Memory used [KB]: 7419
% 0.16/0.45 % (28003)Time elapsed: 0.029 s
% 0.16/0.45 % (28003)------------------------------
% 0.16/0.45 % (28003)------------------------------
% 0.16/0.45 % (27998)Success in time 0.121 s
% 0.16/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------