TSTP Solution File: ALG439-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG439-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n022.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 04:30:35 EDT 2024
% Result : Unsatisfiable 0.16s 0.43s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 631
% Syntax : Number of formulae : 1002 ( 443 unt; 0 def)
% Number of atoms : 1806 ( 216 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 1309 ( 505 ~; 480 |; 0 &)
% ( 324 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 392 ( 390 usr; 325 prp; 0-3 aty)
% Number of functors : 30 ( 30 usr; 7 con; 0-3 aty)
% Number of variables : 679 ( 679 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2688,plain,
$false,
inference(avatar_sat_refutation,[],[f926,f931,f936,f941,f946,f951,f956,f961,f966,f971,f976,f981,f986,f991,f996,f1001,f1006,f1011,f1016,f1021,f1026,f1031,f1036,f1041,f1046,f1051,f1056,f1061,f1066,f1071,f1076,f1081,f1086,f1091,f1096,f1101,f1106,f1111,f1116,f1121,f1126,f1131,f1136,f1141,f1146,f1151,f1156,f1161,f1166,f1171,f1176,f1181,f1186,f1191,f1196,f1201,f1206,f1211,f1216,f1221,f1226,f1231,f1236,f1241,f1246,f1251,f1256,f1261,f1266,f1271,f1276,f1281,f1286,f1291,f1296,f1301,f1306,f1311,f1316,f1321,f1326,f1331,f1336,f1341,f1346,f1351,f1356,f1361,f1366,f1371,f1376,f1381,f1386,f1391,f1396,f1401,f1406,f1411,f1416,f1421,f1426,f1431,f1436,f1441,f1446,f1451,f1456,f1461,f1466,f1471,f1476,f1481,f1486,f1491,f1496,f1501,f1506,f1511,f1516,f1521,f1526,f1531,f1536,f1541,f1546,f1551,f1556,f1561,f1566,f1571,f1576,f1585,f1587,f1595,f1599,f1603,f1607,f1611,f1615,f1619,f1623,f1627,f1631,f1635,f1639,f1643,f1647,f1651,f1655,f1659,f1663,f1667,f1671,f1675,f1679,f1683,f1687,f1691,f1695,f1699,f1703,f1707,f1711,f1715,f1719,f1723,f1727,f1731,f1735,f1739,f1743,f1747,f1751,f1755,f1759,f1763,f1767,f1771,f1775,f1779,f1783,f1787,f1791,f1795,f1799,f1803,f1807,f1811,f1815,f1819,f1823,f1827,f1831,f1835,f1839,f1843,f1847,f1851,f1855,f1859,f1863,f1867,f1871,f1875,f1879,f1883,f1890,f1899,f1903,f1907,f1911,f1915,f1919,f1923,f1927,f1931,f1935,f1939,f1943,f1947,f1951,f1955,f1959,f1963,f1967,f1971,f1975,f1979,f1983,f1987,f1991,f1995,f1999,f2003,f2007,f2011,f2015,f2019,f2023,f2027,f2031,f2035,f2039,f2043,f2047,f2051,f2055,f2059,f2063,f2067,f2157,f2169,f2173,f2177,f2181,f2185,f2189,f2193,f2197,f2201,f2205,f2209,f2213,f2217,f2221,f2225,f2229,f2233,f2237,f2241,f2245,f2249,f2253,f2257,f2261,f2265,f2273,f2340,f2369,f2375,f2379,f2383,f2387,f2391,f2395,f2399,f2403,f2407,f2414,f2418,f2422,f2426,f2430,f2434,f2438,f2442,f2446,f2450,f2454,f2458,f2462,f2466,f2470,f2474,f2478,f2482,f2491,f2495,f2499,f2503,f2507,f2511,f2515,f2519,f2523,f2527,f2531,f2535,f2539,f2543,f2589,f2629,f2659,f2684,f2687]) ).
fof(f2687,plain,
( spl0_133
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f1590,f1578,f1582]) ).
fof(f1582,plain,
( spl0_133
<=> v_c = v_y ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f1578,plain,
( spl0_132
<=> v_y = c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f1590,plain,
( v_c = v_y
| ~ spl0_132 ),
inference(forward_demodulation,[],[f1580,f734]) ).
fof(f734,axiom,
! [X7,X4] : c_Polynomial_Opoly(c_Polynomial_OpCons(X7,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = X7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mpoly__base__conv_I2_J_0) ).
fof(f1580,plain,
( v_y = c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex)
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f1578]) ).
fof(f2684,plain,
( spl0_134
| ~ spl0_321 ),
inference(avatar_contradiction_clause,[],[f2683]) ).
fof(f2683,plain,
( $false
| spl0_134
| ~ spl0_321 ),
inference(trivial_inequality_removal,[],[f2682]) ).
fof(f2682,plain,
( v_c != v_c
| spl0_134
| ~ spl0_321 ),
inference(superposition,[],[f1594,f2542]) ).
fof(f2542,plain,
( ! [X7,X4] : c_Polynomial_Opoly(c_Polynomial_OpCons(X7,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = X7
| ~ spl0_321 ),
inference(avatar_component_clause,[],[f2541]) ).
fof(f2541,plain,
( spl0_321
<=> ! [X4,X7] : c_Polynomial_Opoly(c_Polynomial_OpCons(X7,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = X7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).
fof(f1594,plain,
( v_c != c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex)
| spl0_134 ),
inference(avatar_component_clause,[],[f1592]) ).
fof(f1592,plain,
( spl0_134
<=> v_c = c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f2659,plain,
( spl0_324
| ~ spl0_30
| ~ spl0_217 ),
inference(avatar_split_clause,[],[f2079,f1933,f1068,f2657]) ).
fof(f2657,plain,
( spl0_324
<=> ! [X0] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).
fof(f1068,plain,
( spl0_30
<=> class_OrderedGroup_Omonoid__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f1933,plain,
( spl0_217
<=> ! [X0,X1] :
( ~ class_OrderedGroup_Omonoid__mult(X0)
| c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f2079,plain,
( ! [X0] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) = X0
| ~ spl0_30
| ~ spl0_217 ),
inference(resolution,[],[f1934,f1070]) ).
fof(f1070,plain,
( class_OrderedGroup_Omonoid__mult(tc_nat)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f1068]) ).
fof(f1934,plain,
( ! [X0,X1] :
( ~ class_OrderedGroup_Omonoid__mult(X0)
| c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 )
| ~ spl0_217 ),
inference(avatar_component_clause,[],[f1933]) ).
fof(f2629,plain,
( spl0_323
| ~ spl0_84
| ~ spl0_217 ),
inference(avatar_split_clause,[],[f2078,f1933,f1338,f2627]) ).
fof(f2627,plain,
( spl0_323
<=> ! [X0] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).
fof(f1338,plain,
( spl0_84
<=> class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f2078,plain,
( ! [X0] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) = X0
| ~ spl0_84
| ~ spl0_217 ),
inference(resolution,[],[f1934,f1340]) ).
fof(f1340,plain,
( class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal)
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f1338]) ).
fof(f2589,plain,
( spl0_322
| ~ spl0_121
| ~ spl0_217 ),
inference(avatar_split_clause,[],[f2077,f1933,f1523,f2587]) ).
fof(f2587,plain,
( spl0_322
<=> ! [X0] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).
fof(f1523,plain,
( spl0_121
<=> class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f2077,plain,
( ! [X0] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = X0
| ~ spl0_121
| ~ spl0_217 ),
inference(resolution,[],[f1934,f1525]) ).
fof(f1525,plain,
( class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex)
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f1523]) ).
fof(f2543,plain,
spl0_321,
inference(avatar_split_clause,[],[f734,f2541]) ).
fof(f2539,plain,
( spl0_320
| ~ spl0_30
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2075,f1929,f1068,f2537]) ).
fof(f2537,plain,
( spl0_320
<=> ! [X0] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).
fof(f1929,plain,
( spl0_216
<=> ! [X0,X1] :
( ~ class_OrderedGroup_Omonoid__mult(X0)
| c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f2075,plain,
( ! [X0] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X0
| ~ spl0_30
| ~ spl0_216 ),
inference(resolution,[],[f1930,f1070]) ).
fof(f1930,plain,
( ! [X0,X1] :
( ~ class_OrderedGroup_Omonoid__mult(X0)
| c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 )
| ~ spl0_216 ),
inference(avatar_component_clause,[],[f1929]) ).
fof(f2535,plain,
spl0_319,
inference(avatar_split_clause,[],[f727,f2533]) ).
fof(f2533,plain,
( spl0_319
<=> ! [X0,X1] :
( ~ class_Ring__and__Field_Oidom(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).
fof(f727,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Oidom(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__root_1) ).
fof(f2531,plain,
spl0_318,
inference(avatar_split_clause,[],[f726,f2529]) ).
fof(f2529,plain,
( spl0_318
<=> ! [X4,X0] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).
fof(f726,axiom,
! [X0,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_poly__0_0) ).
fof(f2527,plain,
spl0_317,
inference(avatar_split_clause,[],[f707,f2525]) ).
fof(f2525,plain,
( spl0_317
<=> ! [X0,X10] :
( ~ class_HOL_Ozero(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_Polynomial_Ocoeff(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X10,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).
fof(f707,axiom,
! [X10,X0] :
( ~ class_HOL_Ozero(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_Polynomial_Ocoeff(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X10,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_coeff__0_0) ).
fof(f2523,plain,
spl0_316,
inference(avatar_split_clause,[],[f706,f2521]) ).
fof(f2521,plain,
( spl0_316
<=> ! [X0,X10] :
( ~ class_HOL_Ozero(X0)
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = c_Polynomial_Omonom(c_HOL_Ozero__class_Ozero(X0),X10,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).
fof(f706,axiom,
! [X10,X0] :
( ~ class_HOL_Ozero(X0)
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = c_Polynomial_Omonom(c_HOL_Ozero__class_Ozero(X0),X10,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_monom__eq__0_0) ).
fof(f2519,plain,
spl0_315,
inference(avatar_split_clause,[],[f703,f2517]) ).
fof(f2517,plain,
( spl0_315
<=> ! [X0,X3] :
( ~ class_Ring__and__Field_Oidom(X0)
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).
fof(f703,axiom,
! [X3,X0] :
( ~ class_Ring__and__Field_Oidom(X0)
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_smult__eq__0__iff_1) ).
fof(f2515,plain,
spl0_314,
inference(avatar_split_clause,[],[f702,f2513]) ).
fof(f2513,plain,
( spl0_314
<=> ! [X0,X3] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).
fof(f702,axiom,
! [X3,X0] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_smult__0__left_0) ).
fof(f2511,plain,
spl0_313,
inference(avatar_split_clause,[],[f682,f2509]) ).
fof(f2509,plain,
( spl0_313
<=> ! [X0,X1,X3] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| ~ c_Polynomial_Opos__poly(X3,X0)
| c_Polynomial_Opos__poly(c_Polynomial_OpCons(X1,X3,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).
fof(f682,axiom,
! [X3,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| ~ c_Polynomial_Opos__poly(X3,X0)
| c_Polynomial_Opos__poly(c_Polynomial_OpCons(X1,X3,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pos__poly__pCons_2) ).
fof(f2507,plain,
spl0_312,
inference(avatar_split_clause,[],[f674,f2505]) ).
fof(f2505,plain,
( spl0_312
<=> ! [X0,X3] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| c_HOL_Oplus__class_Oplus(X3,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).
fof(f674,axiom,
! [X3,X0] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| c_HOL_Oplus__class_Oplus(X3,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__poly__code_I2_J_0) ).
fof(f2503,plain,
spl0_311,
inference(avatar_split_clause,[],[f673,f2501]) ).
fof(f2501,plain,
( spl0_311
<=> ! [X0,X11] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X11,tc_Polynomial_Opoly(X0)) = X11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).
fof(f673,axiom,
! [X0,X11] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X11,tc_Polynomial_Opoly(X0)) = X11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__poly__code_I1_J_0) ).
fof(f2499,plain,
spl0_310,
inference(avatar_split_clause,[],[f670,f2497]) ).
fof(f2497,plain,
( spl0_310
<=> ! [X0,X3] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_HOL_Ominus__class_Ominus(X3,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).
fof(f670,axiom,
! [X3,X0] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_HOL_Ominus__class_Ominus(X3,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__poly__code_I2_J_0) ).
fof(f2495,plain,
( spl0_309
| ~ spl0_84
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2074,f1929,f1338,f2493]) ).
fof(f2493,plain,
( spl0_309
<=> ! [X0] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).
fof(f2074,plain,
( ! [X0] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) = X0
| ~ spl0_84
| ~ spl0_216 ),
inference(resolution,[],[f1930,f1340]) ).
fof(f2491,plain,
( spl0_307
| ~ spl0_308 ),
inference(avatar_split_clause,[],[f648,f2488,f2484]) ).
fof(f2484,plain,
( spl0_307
<=> c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a) = c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).
fof(f2488,plain,
( spl0_308
<=> class_OrderedGroup_Olordered__ab__group__add(t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).
fof(f648,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add(t_a)
| c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a) = c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pprt__def__raw_0) ).
fof(f2482,plain,
spl0_306,
inference(avatar_split_clause,[],[f635,f2480]) ).
fof(f2480,plain,
( spl0_306
<=> ! [X4,X0] :
( ~ class_Int_Onumber__ring(X0)
| ~ class_Ring__and__Field_Oidom(X0)
| c_HOL_Oplus__class_Oplus(X4,c_HOL_Ozero__class_Ozero(X0),X0) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).
fof(f635,axiom,
! [X0,X4] :
( ~ class_Int_Onumber__ring(X0)
| ~ class_Ring__and__Field_Oidom(X0)
| c_HOL_Oplus__class_Oplus(X4,c_HOL_Ozero__class_Ozero(X0),X0) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Oadd__r0__iff_1) ).
fof(f2478,plain,
spl0_305,
inference(avatar_split_clause,[],[f589,f2476]) ).
fof(f2476,plain,
( spl0_305
<=> ! [X4,X0] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Oone__class_Oone(X0) = c_Polynomial_Opoly(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X0)),X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).
fof(f589,axiom,
! [X0,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Oone__class_Oone(X0) = c_Polynomial_Opoly(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X0)),X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_poly__1_0) ).
fof(f2474,plain,
spl0_304,
inference(avatar_split_clause,[],[f571,f2472]) ).
fof(f2472,plain,
( spl0_304
<=> ! [X5,X4,X0] :
( ~ class_Ring__and__Field_Ofield(X0)
| c_Polynomial_Opoly__gcd(X4,X5,X0) = c_Polynomial_Opoly__gcd(X5,X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).
fof(f571,axiom,
! [X0,X4,X5] :
( ~ class_Ring__and__Field_Ofield(X0)
| c_Polynomial_Opoly__gcd(X4,X5,X0) = c_Polynomial_Opoly__gcd(X5,X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_poly__gcd__commute_0) ).
fof(f2470,plain,
spl0_303,
inference(avatar_split_clause,[],[f546,f2468]) ).
fof(f2468,plain,
( spl0_303
<=> ! [X5,X4,X0] :
( ~ class_Lattices_Olattice(X0)
| c_Lattices_Oupper__semilattice__class_Osup(X4,c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X0),X0) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).
fof(f546,axiom,
! [X0,X4,X5] :
( ~ class_Lattices_Olattice(X0)
| c_Lattices_Oupper__semilattice__class_Osup(X4,c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X0),X0) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__inf__absorb_0) ).
fof(f2466,plain,
spl0_302,
inference(avatar_split_clause,[],[f525,f2464]) ).
fof(f2464,plain,
( spl0_302
<=> ! [X0] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).
fof(f525,axiom,
! [X0] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__eq__0__iff_1) ).
fof(f2462,plain,
spl0_301,
inference(avatar_split_clause,[],[f522,f2460]) ).
fof(f2460,plain,
( spl0_301
<=> ! [X4,X0] :
( ~ class_Int_Onumber__ring(X0)
| ~ class_Ring__and__Field_Oidom(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Ominus__class_Ominus(X4,X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).
fof(f522,axiom,
! [X0,X4] :
( ~ class_Int_Onumber__ring(X0)
| ~ class_Ring__and__Field_Oidom(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Ominus__class_Ominus(X4,X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Osubr0__iff_1) ).
fof(f2458,plain,
spl0_300,
inference(avatar_split_clause,[],[f510,f2456]) ).
fof(f2456,plain,
( spl0_300
<=> ! [X0,X1] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
| c_HOL_Ozero__class_Ozero(X0) = X1
| c_HOL_Ouminus__class_Ouminus(X1,X0) != X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).
fof(f510,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
| c_HOL_Ozero__class_Ozero(X0) = X1
| c_HOL_Ouminus__class_Ouminus(X1,X0) != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__equal__zero_0) ).
fof(f2454,plain,
( spl0_299
| ~ spl0_121
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2073,f1929,f1523,f2452]) ).
fof(f2452,plain,
( spl0_299
<=> ! [X0] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).
fof(f2073,plain,
( ! [X0] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0
| ~ spl0_121
| ~ spl0_216 ),
inference(resolution,[],[f1930,f1525]) ).
fof(f2450,plain,
spl0_298,
inference(avatar_split_clause,[],[f509,f2448]) ).
fof(f2448,plain,
( spl0_298
<=> ! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Ozero__class_Ozero(X0) = X1
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).
fof(f509,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Ozero__class_Ozero(X0) = X1
| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__0__left_0) ).
fof(f2446,plain,
spl0_297,
inference(avatar_split_clause,[],[f472,f2444]) ).
fof(f2444,plain,
( spl0_297
<=> ! [X2,X0,X1] :
( ~ class_OrderedGroup_Ogroup__add(X0)
| c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).
fof(f472,axiom,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Ogroup__add(X0)
| c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__diff__cancel_0) ).
fof(f2442,plain,
spl0_296,
inference(avatar_split_clause,[],[f441,f2440]) ).
fof(f2440,plain,
( spl0_296
<=> ! [X5,X4,X0] :
( ~ class_Lattices_Olattice(X0)
| c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X0) = c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).
fof(f441,axiom,
! [X0,X4,X5] :
( ~ class_Lattices_Olattice(X0)
| c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X0) = c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I5_J_0) ).
fof(f2438,plain,
spl0_295,
inference(avatar_split_clause,[],[f440,f2436]) ).
fof(f2436,plain,
( spl0_295
<=> ! [X5,X4,X0] :
( ~ class_Lattices_Oupper__semilattice(X0)
| c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X0) = c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).
fof(f440,axiom,
! [X0,X4,X5] :
( ~ class_Lattices_Oupper__semilattice(X0)
| c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X0) = c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__commute_0) ).
fof(f2434,plain,
spl0_294,
inference(avatar_split_clause,[],[f417,f2432]) ).
fof(f2432,plain,
( spl0_294
<=> ! [X2,X0,X1] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).
fof(f417,axiom,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__commute_0) ).
fof(f2430,plain,
spl0_293,
inference(avatar_split_clause,[],[f416,f2428]) ).
fof(f2428,plain,
( spl0_293
<=> ! [X5,X4,X0] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Oplus__class_Oplus(X4,X5,X0) = c_HOL_Oplus__class_Oplus(X5,X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).
fof(f416,axiom,
! [X0,X4,X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Oplus__class_Oplus(X4,X5,X0) = c_HOL_Oplus__class_Oplus(X5,X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Oadd__c_0) ).
fof(f2426,plain,
spl0_292,
inference(avatar_split_clause,[],[f406,f2424]) ).
fof(f2424,plain,
( spl0_292
<=> ! [X4,X0] :
( ~ class_RealVector_Oreal__normed__vector(X0)
| c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X4,X0),X0) = c_RealVector_Onorm__class_Onorm(X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).
fof(f406,axiom,
! [X0,X4] :
( ~ class_RealVector_Oreal__normed__vector(X0)
| c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X4,X0),X0) = c_RealVector_Onorm__class_Onorm(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__minus__cancel_0) ).
fof(f2422,plain,
spl0_291,
inference(avatar_split_clause,[],[f371,f2420]) ).
fof(f2420,plain,
( spl0_291
<=> ! [X4,X0,X1] :
( ~ class_HOL_Ozero(X0)
| c_Polynomial_Ocoeff(c_Polynomial_Omonom(X1,X4,X0),X4,X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).
fof(f371,axiom,
! [X0,X1,X4] :
( ~ class_HOL_Ozero(X0)
| c_Polynomial_Ocoeff(c_Polynomial_Omonom(X1,X4,X0),X4,X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_coeff__monom_0) ).
fof(f2418,plain,
spl0_290,
inference(avatar_split_clause,[],[f325,f2416]) ).
fof(f2416,plain,
( spl0_290
<=> ! [X0,X1] :
( ~ class_OrderedGroup_Ogroup__add(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).
fof(f325,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Ogroup__add(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_left__minus_0) ).
fof(f2414,plain,
spl0_289,
inference(avatar_split_clause,[],[f324,f2412]) ).
fof(f2412,plain,
( spl0_289
<=> ! [X0,X1] :
( ~ class_OrderedGroup_Ogroup__add(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).
fof(f324,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Ogroup__add(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_right__minus_0) ).
fof(f2407,plain,
spl0_288,
inference(avatar_split_clause,[],[f323,f2405]) ).
fof(f2405,plain,
( spl0_288
<=> ! [X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).
fof(f323,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ab__left__minus_0) ).
fof(f2403,plain,
spl0_287,
inference(avatar_split_clause,[],[f320,f2401]) ).
fof(f2401,plain,
( spl0_287
<=> ! [X5,X4,X0] :
( ~ class_Lattices_Olattice(X0)
| c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X0) = c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).
fof(f320,axiom,
! [X0,X4,X5] :
( ~ class_Lattices_Olattice(X0)
| c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X0) = c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I1_J_0) ).
fof(f2399,plain,
spl0_286,
inference(avatar_split_clause,[],[f319,f2397]) ).
fof(f2397,plain,
( spl0_286
<=> ! [X5,X4,X0] :
( ~ class_Lattices_Olower__semilattice(X0)
| c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X0) = c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).
fof(f319,axiom,
! [X0,X4,X5] :
( ~ class_Lattices_Olower__semilattice(X0)
| c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X0) = c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__commute_0) ).
fof(f2395,plain,
spl0_285,
inference(avatar_split_clause,[],[f272,f2393]) ).
fof(f2393,plain,
( spl0_285
<=> ! [X5,X4,X0] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Otimes__class_Otimes(X4,X5,X0) = c_HOL_Otimes__class_Otimes(X5,X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).
fof(f272,axiom,
! [X0,X4,X5] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Otimes__class_Otimes(X4,X5,X0) = c_HOL_Otimes__class_Otimes(X5,X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Omul__c_0) ).
fof(f2391,plain,
spl0_284,
inference(avatar_split_clause,[],[f265,f2389]) ).
fof(f2389,plain,
( spl0_284
<=> ! [X2,X0,X1] :
( ~ class_OrderedGroup_Ogroup__add(X0)
| c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X2,X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).
fof(f265,axiom,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Ogroup__add(X0)
| c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X2,X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__add__cancel_0) ).
fof(f2387,plain,
spl0_283,
inference(avatar_split_clause,[],[f216,f2385]) ).
fof(f2385,plain,
( spl0_283
<=> ! [X0,X1] :
( ~ class_OrderedGroup_Ogroup__add(X0)
| c_HOL_Ouminus__class_Ouminus(X1,X0) = c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).
fof(f216,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Ogroup__add(X0)
| c_HOL_Ouminus__class_Ouminus(X1,X0) = c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_group__add__class_Odiff__0_0) ).
fof(f2383,plain,
spl0_282,
inference(avatar_split_clause,[],[f202,f2381]) ).
fof(f2381,plain,
( spl0_282
<=> ! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).
fof(f202,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sgn__sgn_0) ).
fof(f2379,plain,
spl0_281,
inference(avatar_split_clause,[],[f83,f2377]) ).
fof(f2377,plain,
( spl0_281
<=> ! [X6,X19] :
( X6 = X19
| ~ c_lessequals(X6,X19,tc_RealDef_Oreal)
| ~ c_lessequals(X19,X6,tc_RealDef_Oreal) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).
fof(f83,axiom,
! [X6,X19] :
( X6 = X19
| ~ c_lessequals(X6,X19,tc_RealDef_Oreal)
| ~ c_lessequals(X19,X6,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__le__antisym_0) ).
fof(f2375,plain,
spl0_280,
inference(avatar_split_clause,[],[f71,f2373]) ).
fof(f2373,plain,
( spl0_280
<=> ! [X5,X4,X0] :
( ~ class_Lattices_Olattice(X0)
| c_Lattices_Olower__semilattice__class_Oinf(X4,c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X0),X0) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).
fof(f71,axiom,
! [X0,X4,X5] :
( ~ class_Lattices_Olattice(X0)
| c_Lattices_Olower__semilattice__class_Oinf(X4,c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X0),X0) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__absorb_0) ).
fof(f2369,plain,
( spl0_279
| ~ spl0_274 ),
inference(avatar_split_clause,[],[f2361,f2255,f2367]) ).
fof(f2367,plain,
( spl0_279
<=> ! [X0,X1] :
( c_lessequals(X0,X0,X1)
| ~ class_Orderings_Olinorder(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).
fof(f2255,plain,
( spl0_274
<=> ! [X5,X4,X0] :
( ~ class_Orderings_Olinorder(X0)
| c_lessequals(X4,X5,X0)
| c_lessequals(X5,X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).
fof(f2361,plain,
( ! [X0,X1] :
( c_lessequals(X0,X0,X1)
| ~ class_Orderings_Olinorder(X1) )
| ~ spl0_274 ),
inference(factoring,[],[f2256]) ).
fof(f2256,plain,
( ! [X0,X4,X5] :
( c_lessequals(X5,X4,X0)
| c_lessequals(X4,X5,X0)
| ~ class_Orderings_Olinorder(X0) )
| ~ spl0_274 ),
inference(avatar_component_clause,[],[f2255]) ).
fof(f2340,plain,
( spl0_278
| ~ spl0_17
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f2071,f1921,f1003,f2338]) ).
fof(f2338,plain,
( spl0_278
<=> ! [X0] : c_Polynomial_Osmult(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).
fof(f1003,plain,
( spl0_17
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1921,plain,
( spl0_214
<=> ! [X0,X3] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_Polynomial_Osmult(c_HOL_Oone__class_Oone(X0),X3,X0) = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f2071,plain,
( ! [X0] : c_Polynomial_Osmult(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) = X0
| ~ spl0_17
| ~ spl0_214 ),
inference(resolution,[],[f1922,f1005]) ).
fof(f1005,plain,
( class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f1922,plain,
( ! [X3,X0] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_Polynomial_Osmult(c_HOL_Oone__class_Oone(X0),X3,X0) = X3 )
| ~ spl0_214 ),
inference(avatar_component_clause,[],[f1921]) ).
fof(f2273,plain,
( spl0_277
| ~ spl0_63
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f2070,f1921,f1233,f2271]) ).
fof(f2271,plain,
( spl0_277
<=> ! [X0] : c_Polynomial_Osmult(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).
fof(f1233,plain,
( spl0_63
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f2070,plain,
( ! [X0] : c_Polynomial_Osmult(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) = X0
| ~ spl0_63
| ~ spl0_214 ),
inference(resolution,[],[f1922,f1235]) ).
fof(f1235,plain,
( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal)
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f1233]) ).
fof(f2265,plain,
spl0_276,
inference(avatar_split_clause,[],[f634,f2263]) ).
fof(f2263,plain,
( spl0_276
<=> ! [X2,X0,X1] :
( ~ class_Orderings_Oorder(X0)
| ~ c_HOL_Oord__class_Oless(X2,X1,X0)
| ~ c_HOL_Oord__class_Oless(X1,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).
fof(f634,axiom,
! [X2,X0,X1] :
( ~ class_Orderings_Oorder(X0)
| ~ c_HOL_Oord__class_Oless(X2,X1,X0)
| ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I9_J_0) ).
fof(f2261,plain,
spl0_275,
inference(avatar_split_clause,[],[f633,f2259]) ).
fof(f2259,plain,
( spl0_275
<=> ! [X5,X4,X0] :
( ~ class_Orderings_Olinorder(X0)
| ~ c_HOL_Oord__class_Oless(X5,X4,X0)
| ~ c_HOL_Oord__class_Oless(X4,X5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).
fof(f633,axiom,
! [X0,X4,X5] :
( ~ class_Orderings_Olinorder(X0)
| ~ c_HOL_Oord__class_Oless(X5,X4,X0)
| ~ c_HOL_Oord__class_Oless(X4,X5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__less__iff__gr__or__eq_1) ).
fof(f2257,plain,
spl0_274,
inference(avatar_split_clause,[],[f631,f2255]) ).
fof(f631,axiom,
! [X0,X4,X5] :
( ~ class_Orderings_Olinorder(X0)
| c_lessequals(X4,X5,X0)
| c_lessequals(X5,X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__linear_0) ).
fof(f2253,plain,
spl0_273,
inference(avatar_split_clause,[],[f629,f2251]) ).
fof(f2251,plain,
( spl0_273
<=> ! [X2,X0,X1] :
( ~ class_Orderings_Opreorder(X0)
| ~ c_HOL_Oord__class_Oless(X1,X2,X0)
| ~ c_HOL_Oord__class_Oless(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).
fof(f629,axiom,
! [X2,X0,X1] :
( ~ class_Orderings_Opreorder(X0)
| ~ c_HOL_Oord__class_Oless(X1,X2,X0)
| ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__asym_H_0) ).
fof(f2249,plain,
spl0_272,
inference(avatar_split_clause,[],[f576,f2247]) ).
fof(f2247,plain,
( spl0_272
<=> ! [X5,X4,X0] :
( ~ class_Ring__and__Field_Ofield(X0)
| c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X4,X5,X0),X4,tc_Polynomial_Opoly(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).
fof(f576,axiom,
! [X0,X4,X5] :
( ~ class_Ring__and__Field_Ofield(X0)
| c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X4,X5,X0),X4,tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_poly__gcd__dvd1_0) ).
fof(f2245,plain,
spl0_271,
inference(avatar_split_clause,[],[f575,f2243]) ).
fof(f2243,plain,
( spl0_271
<=> ! [X5,X4,X0] :
( ~ class_Ring__and__Field_Ofield(X0)
| c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X4,X5,X0),X5,tc_Polynomial_Opoly(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).
fof(f575,axiom,
! [X0,X4,X5] :
( ~ class_Ring__and__Field_Ofield(X0)
| c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X4,X5,X0),X5,tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_poly__gcd__dvd2_0) ).
fof(f2241,plain,
spl0_270,
inference(avatar_split_clause,[],[f555,f2239]) ).
fof(f2239,plain,
( spl0_270
<=> ! [X5,X4,X0] :
( ~ class_Orderings_Opreorder(X0)
| ~ c_HOL_Oord__class_Oless(X4,X5,X0)
| c_lessequals(X4,X5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).
fof(f555,axiom,
! [X0,X4,X5] :
( ~ class_Orderings_Opreorder(X0)
| ~ c_HOL_Oord__class_Oless(X4,X5,X0)
| c_lessequals(X4,X5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__imp__le_0) ).
fof(f2237,plain,
( spl0_269
| ~ spl0_107
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f2069,f1921,f1453,f2235]) ).
fof(f2235,plain,
( spl0_269
<=> ! [X0] : c_Polynomial_Osmult(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).
fof(f1453,plain,
( spl0_107
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f2069,plain,
( ! [X0] : c_Polynomial_Osmult(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = X0
| ~ spl0_107
| ~ spl0_214 ),
inference(resolution,[],[f1922,f1455]) ).
fof(f1455,plain,
( class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f1453]) ).
fof(f2233,plain,
spl0_268,
inference(avatar_split_clause,[],[f554,f2231]) ).
fof(f2231,plain,
( spl0_268
<=> ! [X5,X4,X0] :
( ~ class_Orderings_Oorder(X0)
| ~ c_HOL_Oord__class_Oless(X4,X5,X0)
| c_lessequals(X4,X5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).
fof(f554,axiom,
! [X0,X4,X5] :
( ~ class_Orderings_Oorder(X0)
| ~ c_HOL_Oord__class_Oless(X4,X5,X0)
| c_lessequals(X4,X5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__le__less_1) ).
fof(f2229,plain,
spl0_267,
inference(avatar_split_clause,[],[f505,f2227]) ).
fof(f2227,plain,
( spl0_267
<=> ! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).
fof(f505,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I10_J_0) ).
fof(f2225,plain,
spl0_266,
inference(avatar_split_clause,[],[f503,f2223]) ).
fof(f2223,plain,
( spl0_266
<=> ! [X2,X0] :
( ~ class_RealVector_Oreal__normed__algebra(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).
fof(f503,axiom,
! [X2,X0] :
( ~ class_RealVector_Oreal__normed__algebra(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult_Ozero__left_0) ).
fof(f2221,plain,
spl0_265,
inference(avatar_split_clause,[],[f501,f2219]) ).
fof(f2219,plain,
( spl0_265
<=> ! [X4,X0] :
( ~ class_RealVector_Oreal__normed__algebra(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Otimes__class_Otimes(X4,c_HOL_Ozero__class_Ozero(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).
fof(f501,axiom,
! [X0,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Otimes__class_Otimes(X4,c_HOL_Ozero__class_Ozero(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__right_Ozero_0) ).
fof(f2217,plain,
spl0_264,
inference(avatar_split_clause,[],[f500,f2215]) ).
fof(f2215,plain,
( spl0_264
<=> ! [X4,X0] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).
fof(f500,axiom,
! [X0,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Omul__0_0) ).
fof(f2213,plain,
spl0_263,
inference(avatar_split_clause,[],[f499,f2211]) ).
fof(f2211,plain,
( spl0_263
<=> ! [X0,X1] :
( ~ class_Ring__and__Field_Omult__zero(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).
fof(f499,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Omult__zero(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__zero__left_0) ).
fof(f2209,plain,
spl0_262,
inference(avatar_split_clause,[],[f498,f2207]) ).
fof(f2207,plain,
( spl0_262
<=> ! [X0,X1] :
( ~ class_Ring__and__Field_Omult__zero(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).
fof(f498,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Omult__zero(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__zero__right_0) ).
fof(f2205,plain,
spl0_261,
inference(avatar_split_clause,[],[f497,f2203]) ).
fof(f2203,plain,
( spl0_261
<=> ! [X2,X0] :
( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).
fof(f497,axiom,
! [X2,X0] :
( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__eq__0__iff_1) ).
fof(f2201,plain,
spl0_260,
inference(avatar_split_clause,[],[f496,f2199]) ).
fof(f2199,plain,
( spl0_260
<=> ! [X0,X1] :
( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).
fof(f496,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__eq__0__iff_2) ).
fof(f2197,plain,
spl0_259,
inference(avatar_split_clause,[],[f438,f2195]) ).
fof(f2195,plain,
( spl0_259
<=> ! [X0] :
( ~ class_HOL_Ozero(X0)
| c_HOL_Ozero__class_Ozero(tc_nat) = c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).
fof(f438,axiom,
! [X0] :
( ~ class_HOL_Ozero(X0)
| c_HOL_Ozero__class_Ozero(tc_nat) = c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_degree__0_0) ).
fof(f2193,plain,
spl0_258,
inference(avatar_split_clause,[],[f342,f2191]) ).
fof(f2191,plain,
( spl0_258
<=> ! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).
fof(f342,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__square__less__zero_0) ).
fof(f2189,plain,
spl0_257,
inference(avatar_split_clause,[],[f298,f2187]) ).
fof(f2187,plain,
( spl0_257
<=> ! [X5,X4,X0] :
( ~ class_Orderings_Olinorder(X0)
| c_HOL_Oord__class_Oless(X5,X4,X0)
| c_lessequals(X4,X5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).
fof(f298,axiom,
! [X0,X4,X5] :
( ~ class_Orderings_Olinorder(X0)
| c_HOL_Oord__class_Oless(X5,X4,X0)
| c_lessequals(X4,X5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__not__le_0) ).
fof(f2185,plain,
spl0_256,
inference(avatar_split_clause,[],[f296,f2183]) ).
fof(f2183,plain,
( spl0_256
<=> ! [X5,X4,X0] :
( ~ class_Orderings_Olinorder(X0)
| ~ c_HOL_Oord__class_Oless(X4,X5,X0)
| ~ c_lessequals(X5,X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).
fof(f296,axiom,
! [X0,X4,X5] :
( ~ class_Orderings_Olinorder(X0)
| ~ c_HOL_Oord__class_Oless(X4,X5,X0)
| ~ c_lessequals(X5,X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__not__less_1) ).
fof(f2181,plain,
spl0_255,
inference(avatar_split_clause,[],[f292,f2179]) ).
fof(f2179,plain,
( spl0_255
<=> ! [X5,X4,X0] :
( ~ class_Orderings_Opreorder(X0)
| ~ c_HOL_Oord__class_Oless(X4,X5,X0)
| ~ c_lessequals(X5,X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).
fof(f292,axiom,
! [X0,X4,X5] :
( ~ class_Orderings_Opreorder(X0)
| ~ c_HOL_Oord__class_Oless(X4,X5,X0)
| ~ c_lessequals(X5,X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__le__not__le_1) ).
fof(f2177,plain,
spl0_254,
inference(avatar_split_clause,[],[f244,f2175]) ).
fof(f2175,plain,
( spl0_254
<=> ! [X0] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Ozero__class_Ozero(tc_nat) = c_Polynomial_Odegree(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X0)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).
fof(f244,axiom,
! [X0] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Ozero__class_Ozero(tc_nat) = c_Polynomial_Odegree(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X0)),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_degree__1_0) ).
fof(f2173,plain,
spl0_253,
inference(avatar_split_clause,[],[f154,f2171]) ).
fof(f2171,plain,
( spl0_253
<=> ! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
| c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).
fof(f154,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
| c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__square_0) ).
fof(f2169,plain,
spl0_252,
inference(avatar_split_clause,[],[f53,f2167]) ).
fof(f2167,plain,
( spl0_252
<=> ! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__semidom(X0)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).
fof(f53,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__semidom(X0)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__add__one_0) ).
fof(f2157,plain,
( ~ spl0_37
| spl0_251
| ~ spl0_207
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f2094,f1965,f1888,f2155,f1103]) ).
fof(f1103,plain,
( spl0_37
<=> class_Lattices_Olattice(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f2155,plain,
( spl0_251
<=> ! [X0] : c_lessequals(X0,X0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).
fof(f1888,plain,
( spl0_207
<=> ! [X0] : c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_nat) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f1965,plain,
( spl0_225
<=> ! [X5,X4,X0] :
( ~ class_Lattices_Olattice(X0)
| c_lessequals(X4,c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f2094,plain,
( ! [X0] :
( c_lessequals(X0,X0,tc_nat)
| ~ class_Lattices_Olattice(tc_nat) )
| ~ spl0_207
| ~ spl0_225 ),
inference(superposition,[],[f1966,f1889]) ).
fof(f1889,plain,
( ! [X0] : c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_nat) = X0
| ~ spl0_207 ),
inference(avatar_component_clause,[],[f1888]) ).
fof(f1966,plain,
( ! [X0,X4,X5] :
( c_lessequals(X4,c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X0),X0)
| ~ class_Lattices_Olattice(X0) )
| ~ spl0_225 ),
inference(avatar_component_clause,[],[f1965]) ).
fof(f2067,plain,
spl0_250,
inference(avatar_split_clause,[],[f715,f2065]) ).
fof(f2065,plain,
( spl0_250
<=> ! [X4] : c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X4,tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).
fof(f715,axiom,
! [X4] : c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X4,tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mpoly__base__conv_I1_J_0) ).
fof(f2063,plain,
spl0_249,
inference(avatar_split_clause,[],[f639,f2061]) ).
fof(f2061,plain,
( spl0_249
<=> ! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).
fof(f639,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I5_J_0) ).
fof(f2059,plain,
spl0_248,
inference(avatar_split_clause,[],[f638,f2057]) ).
fof(f2057,plain,
( spl0_248
<=> ! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f638,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I6_J_0) ).
fof(f2055,plain,
( spl0_247
| ~ spl0_78
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f1892,f1877,f1308,f2053]) ).
fof(f2053,plain,
( spl0_247
<=> ! [X0] : c_Lattices_Olower__semilattice__class_Oinf(X0,X0,tc_RealDef_Oreal) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).
fof(f1308,plain,
( spl0_78
<=> class_Lattices_Olower__semilattice(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f1877,plain,
( spl0_205
<=> ! [X4,X0] :
( ~ class_Lattices_Olower__semilattice(X0)
| c_Lattices_Olower__semilattice__class_Oinf(X4,X4,X0) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f1892,plain,
( ! [X0] : c_Lattices_Olower__semilattice__class_Oinf(X0,X0,tc_RealDef_Oreal) = X0
| ~ spl0_78
| ~ spl0_205 ),
inference(resolution,[],[f1878,f1310]) ).
fof(f1310,plain,
( class_Lattices_Olower__semilattice(tc_RealDef_Oreal)
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f1308]) ).
fof(f1878,plain,
( ! [X0,X4] :
( ~ class_Lattices_Olower__semilattice(X0)
| c_Lattices_Olower__semilattice__class_Oinf(X4,X4,X0) = X4 )
| ~ spl0_205 ),
inference(avatar_component_clause,[],[f1877]) ).
fof(f2051,plain,
spl0_246,
inference(avatar_split_clause,[],[f637,f2049]) ).
fof(f2049,plain,
( spl0_246
<=> ! [X0,X1] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).
fof(f637,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__1_0) ).
fof(f2047,plain,
spl0_245,
inference(avatar_split_clause,[],[f564,f2045]) ).
fof(f2045,plain,
( spl0_245
<=> ! [X5,X4,X0] :
( ~ class_HOL_Oeq(X0)
| X4 = X5
| ~ c_HOL_Oeq__class_Oeq(X4,X5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).
fof(f564,axiom,
! [X0,X4,X5] :
( ~ class_HOL_Oeq(X0)
| X4 = X5
| ~ c_HOL_Oeq__class_Oeq(X4,X5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__equals_0) ).
fof(f2043,plain,
spl0_244,
inference(avatar_split_clause,[],[f534,f2041]) ).
fof(f2041,plain,
( spl0_244
<=> ! [X0,X1] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).
fof(f534,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__1__right_0) ).
fof(f2039,plain,
spl0_243,
inference(avatar_split_clause,[],[f533,f2037]) ).
fof(f2037,plain,
( spl0_243
<=> ! [X0,X1] :
( ~ class_OrderedGroup_Omonoid__add(X0)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
fof(f533,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Omonoid__add(X0)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__0__left_0) ).
fof(f2035,plain,
spl0_242,
inference(avatar_split_clause,[],[f532,f2033]) ).
fof(f2033,plain,
( spl0_242
<=> ! [X0,X1] :
( ~ class_OrderedGroup_Omonoid__add(X0)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
fof(f532,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Omonoid__add(X0)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_monoid__add__class_Oadd__0__right_0) ).
fof(f2031,plain,
spl0_241,
inference(avatar_split_clause,[],[f524,f2029]) ).
fof(f2029,plain,
( spl0_241
<=> ! [X0] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
fof(f524,axiom,
! [X0] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pprt__0_0) ).
fof(f2027,plain,
spl0_240,
inference(avatar_split_clause,[],[f521,f2025]) ).
fof(f2025,plain,
( spl0_240
<=> ! [X0,X1] :
( ~ class_OrderedGroup_Ogroup__add(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Ominus__class_Ominus(X1,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f521,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Ogroup__add(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Ominus__class_Ominus(X1,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__self_0) ).
fof(f2023,plain,
spl0_239,
inference(avatar_split_clause,[],[f520,f2021]) ).
fof(f2021,plain,
( spl0_239
<=> ! [X0,X1] :
( ~ class_OrderedGroup_Ogroup__add(X0)
| c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
fof(f520,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Ogroup__add(X0)
| c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__0__right_0) ).
fof(f2019,plain,
spl0_238,
inference(avatar_split_clause,[],[f518,f2017]) ).
fof(f2017,plain,
( spl0_238
<=> ! [X4,X0] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Ominus__class_Ominus(X4,X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f518,axiom,
! [X0,X4] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Ominus__class_Ominus(X4,X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__iff__diff__eq__0_0) ).
fof(f2015,plain,
spl0_237,
inference(avatar_split_clause,[],[f511,f2013]) ).
fof(f2013,plain,
( spl0_237
<=> ! [X0] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f511,axiom,
! [X0] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nprt__0_0) ).
fof(f2011,plain,
( spl0_236
| ~ spl0_26
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f1891,f1877,f1048,f2009]) ).
fof(f2009,plain,
( spl0_236
<=> ! [X0] : c_Lattices_Olower__semilattice__class_Oinf(X0,X0,tc_nat) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f1048,plain,
( spl0_26
<=> class_Lattices_Olower__semilattice(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f1891,plain,
( ! [X0] : c_Lattices_Olower__semilattice__class_Oinf(X0,X0,tc_nat) = X0
| ~ spl0_26
| ~ spl0_205 ),
inference(resolution,[],[f1878,f1050]) ).
fof(f1050,plain,
( class_Lattices_Olower__semilattice(tc_nat)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f2007,plain,
spl0_235,
inference(avatar_split_clause,[],[f495,f2005]) ).
fof(f2005,plain,
( spl0_235
<=> ! [X0] :
( ~ class_RealVector_Oreal__normed__vector(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f495,axiom,
! [X0] :
( ~ class_RealVector_Oreal__normed__vector(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sgn__zero_0) ).
fof(f2003,plain,
spl0_234,
inference(avatar_split_clause,[],[f494,f2001]) ).
fof(f2001,plain,
( spl0_234
<=> ! [X0] :
( ~ class_Ring__and__Field_Osgn__if(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f494,axiom,
! [X0] :
( ~ class_Ring__and__Field_Osgn__if(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sgn0_0) ).
fof(f1999,plain,
spl0_233,
inference(avatar_split_clause,[],[f493,f1997]) ).
fof(f1997,plain,
( spl0_233
<=> ! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f493,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sgn__0__0_1) ).
fof(f1995,plain,
spl0_232,
inference(avatar_split_clause,[],[f491,f1993]) ).
fof(f1993,plain,
( spl0_232
<=> ! [X0] :
( ~ class_OrderedGroup_Ogroup__add(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
fof(f491,axiom,
! [X0] :
( ~ class_OrderedGroup_Ogroup__add(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__zero_0) ).
fof(f1991,plain,
spl0_231,
inference(avatar_split_clause,[],[f490,f1989]) ).
fof(f1989,plain,
( spl0_231
<=> ! [X0] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
fof(f490,axiom,
! [X0] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__equal__zero_1) ).
fof(f1987,plain,
spl0_230,
inference(avatar_split_clause,[],[f478,f1985]) ).
fof(f1985,plain,
( spl0_230
<=> ! [X0,X1] :
( ~ class_OrderedGroup_Ogroup__add(X0)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).
fof(f478,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Ogroup__add(X0)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__minus_0) ).
fof(f1983,plain,
spl0_229,
inference(avatar_split_clause,[],[f418,f1981]) ).
fof(f1981,plain,
( spl0_229
<=> ! [X0,X1] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
| c_lessequals(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).
fof(f418,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
| c_lessequals(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nprt__le__zero_0) ).
fof(f1979,plain,
spl0_228,
inference(avatar_split_clause,[],[f359,f1977]) ).
fof(f1977,plain,
( spl0_228
<=> ! [X5,X4,X0] :
( ~ class_Lattices_Oupper__semilattice(X0)
| c_lessequals(X5,c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).
fof(f359,axiom,
! [X0,X4,X5] :
( ~ class_Lattices_Oupper__semilattice(X0)
| c_lessequals(X5,c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__ge2_0) ).
fof(f1975,plain,
spl0_227,
inference(avatar_split_clause,[],[f358,f1973]) ).
fof(f1973,plain,
( spl0_227
<=> ! [X5,X4,X0] :
( ~ class_Lattices_Oupper__semilattice(X0)
| c_lessequals(X4,c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).
fof(f358,axiom,
! [X0,X4,X5] :
( ~ class_Lattices_Oupper__semilattice(X0)
| c_lessequals(X4,c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__ge1_0) ).
fof(f1971,plain,
spl0_226,
inference(avatar_split_clause,[],[f356,f1969]) ).
fof(f1969,plain,
( spl0_226
<=> ! [X5,X4,X0] :
( ~ class_Lattices_Olattice(X0)
| c_lessequals(X5,c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f356,axiom,
! [X0,X4,X5] :
( ~ class_Lattices_Olattice(X0)
| c_lessequals(X5,c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I4_J_0) ).
fof(f1967,plain,
spl0_225,
inference(avatar_split_clause,[],[f355,f1965]) ).
fof(f355,axiom,
! [X0,X4,X5] :
( ~ class_Lattices_Olattice(X0)
| c_lessequals(X4,c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I3_J_0) ).
fof(f1963,plain,
spl0_224,
inference(avatar_split_clause,[],[f334,f1961]) ).
fof(f1961,plain,
( spl0_224
<=> ! [X0] :
( ~ class_RealVector_Oreal__normed__algebra__1(X0)
| c_HOL_Oone__class_Oone(X0) = c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
fof(f334,axiom,
! [X0] :
( ~ class_RealVector_Oreal__normed__algebra__1(X0)
| c_HOL_Oone__class_Oone(X0) = c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sgn__one_0) ).
fof(f1959,plain,
spl0_223,
inference(avatar_split_clause,[],[f256,f1957]) ).
fof(f1957,plain,
( spl0_223
<=> ! [X2,X0,X27] :
( ~ class_Ring__and__Field_Odvd(X0)
| c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X2,X27,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
fof(f256,axiom,
! [X2,X0,X27] :
( ~ class_Ring__and__Field_Odvd(X0)
| c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X2,X27,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvdI_0) ).
fof(f1955,plain,
spl0_222,
inference(avatar_split_clause,[],[f255,f1953]) ).
fof(f1953,plain,
( spl0_222
<=> ! [X2,X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f255,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__triv__left_0) ).
fof(f1951,plain,
spl0_221,
inference(avatar_split_clause,[],[f254,f1949]) ).
fof(f1949,plain,
( spl0_221
<=> ! [X2,X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
fof(f254,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__triv__right_0) ).
fof(f1947,plain,
spl0_220,
inference(avatar_split_clause,[],[f253,f1945]) ).
fof(f1945,plain,
( spl0_220
<=> ! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f253,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I11_J_0) ).
fof(f1943,plain,
spl0_219,
inference(avatar_split_clause,[],[f252,f1941]) ).
fof(f1941,plain,
( spl0_219
<=> ! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f252,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I12_J_0) ).
fof(f1939,plain,
spl0_218,
inference(avatar_split_clause,[],[f250,f1937]) ).
fof(f1937,plain,
( spl0_218
<=> ! [X0,X1] :
( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
| c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f250,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
| c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__1_0) ).
fof(f1935,plain,
spl0_217,
inference(avatar_split_clause,[],[f249,f1933]) ).
fof(f249,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Omonoid__mult(X0)
| c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__1__left_0) ).
fof(f1931,plain,
spl0_216,
inference(avatar_split_clause,[],[f248,f1929]) ).
fof(f248,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Omonoid__mult(X0)
| c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__1__right_0) ).
fof(f1927,plain,
( spl0_215
| ~ spl0_77
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f1885,f1853,f1303,f1925]) ).
fof(f1925,plain,
( spl0_215
<=> ! [X0] : c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_RealDef_Oreal) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f1303,plain,
( spl0_77
<=> class_Lattices_Oupper__semilattice(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f1853,plain,
( spl0_199
<=> ! [X4,X0] :
( ~ class_Lattices_Oupper__semilattice(X0)
| c_Lattices_Oupper__semilattice__class_Osup(X4,X4,X0) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f1885,plain,
( ! [X0] : c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_RealDef_Oreal) = X0
| ~ spl0_77
| ~ spl0_199 ),
inference(resolution,[],[f1854,f1305]) ).
fof(f1305,plain,
( class_Lattices_Oupper__semilattice(tc_RealDef_Oreal)
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f1303]) ).
fof(f1854,plain,
( ! [X0,X4] :
( ~ class_Lattices_Oupper__semilattice(X0)
| c_Lattices_Oupper__semilattice__class_Osup(X4,X4,X0) = X4 )
| ~ spl0_199 ),
inference(avatar_component_clause,[],[f1853]) ).
fof(f1923,plain,
spl0_214,
inference(avatar_split_clause,[],[f212,f1921]) ).
fof(f212,axiom,
! [X3,X0] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_Polynomial_Osmult(c_HOL_Oone__class_Oone(X0),X3,X0) = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_smult__1__left_0) ).
fof(f1919,plain,
spl0_213,
inference(avatar_split_clause,[],[f211,f1917]) ).
fof(f1917,plain,
( spl0_213
<=> ! [X0,X1] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
| c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f211,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
| c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__pprt_0) ).
fof(f1915,plain,
spl0_212,
inference(avatar_split_clause,[],[f189,f1913]) ).
fof(f1913,plain,
( spl0_212
<=> ! [X4,X0] :
( ~ class_HOL_Ozero(X0)
| ~ class_HOL_Oeq(X0)
| c_HOL_Oeq__class_Oeq(X4,X4,tc_Polynomial_Opoly(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f189,axiom,
! [X0,X4] :
( ~ class_HOL_Ozero(X0)
| ~ class_HOL_Oeq(X0)
| c_HOL_Oeq__class_Oeq(X4,X4,tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__poly__def_1) ).
fof(f1911,plain,
spl0_211,
inference(avatar_split_clause,[],[f48,f1909]) ).
fof(f1909,plain,
( spl0_211
<=> ! [X5,X4,X0] :
( ~ class_Lattices_Olattice(X0)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X0),X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f48,axiom,
! [X0,X4,X5] :
( ~ class_Lattices_Olattice(X0)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X0),X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I1_J_0) ).
fof(f1907,plain,
spl0_210,
inference(avatar_split_clause,[],[f47,f1905]) ).
fof(f1905,plain,
( spl0_210
<=> ! [X5,X4,X0] :
( ~ class_Lattices_Olattice(X0)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X0),X5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f47,axiom,
! [X0,X4,X5] :
( ~ class_Lattices_Olattice(X0)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X0),X5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I2_J_0) ).
fof(f1903,plain,
spl0_209,
inference(avatar_split_clause,[],[f46,f1901]) ).
fof(f1901,plain,
( spl0_209
<=> ! [X5,X4,X0] :
( ~ class_Lattices_Olower__semilattice(X0)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X0),X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f46,axiom,
! [X0,X4,X5] :
( ~ class_Lattices_Olower__semilattice(X0)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X0),X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__le1_0) ).
fof(f1899,plain,
spl0_208,
inference(avatar_split_clause,[],[f45,f1897]) ).
fof(f1897,plain,
( spl0_208
<=> ! [X5,X4,X0] :
( ~ class_Lattices_Olower__semilattice(X0)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X0),X5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f45,axiom,
! [X0,X4,X5] :
( ~ class_Lattices_Olower__semilattice(X0)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X0),X5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__le2_0) ).
fof(f1890,plain,
( spl0_207
| ~ spl0_25
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f1884,f1853,f1043,f1888]) ).
fof(f1043,plain,
( spl0_25
<=> class_Lattices_Oupper__semilattice(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f1884,plain,
( ! [X0] : c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_nat) = X0
| ~ spl0_25
| ~ spl0_199 ),
inference(resolution,[],[f1854,f1045]) ).
fof(f1045,plain,
( class_Lattices_Oupper__semilattice(tc_nat)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f1043]) ).
fof(f1883,plain,
spl0_206,
inference(avatar_split_clause,[],[f632,f1881]) ).
fof(f1881,plain,
( spl0_206
<=> ! [X6,X19] :
( c_lessequals(X6,X19,tc_RealDef_Oreal)
| c_lessequals(X19,X6,tc_RealDef_Oreal) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f632,axiom,
! [X6,X19] :
( c_lessequals(X6,X19,tc_RealDef_Oreal)
| c_lessequals(X19,X6,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__le__linear_0) ).
fof(f1879,plain,
spl0_205,
inference(avatar_split_clause,[],[f591,f1877]) ).
fof(f591,axiom,
! [X0,X4] :
( ~ class_Lattices_Olower__semilattice(X0)
| c_Lattices_Olower__semilattice__class_Oinf(X4,X4,X0) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__idem_0) ).
fof(f1875,plain,
spl0_204,
inference(avatar_split_clause,[],[f568,f1873]) ).
fof(f1873,plain,
( spl0_204
<=> ! [X0] :
( ~ class_Ring__and__Field_Oordered__semidom(X0)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f568,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__semidom(X0)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__one_0) ).
fof(f1871,plain,
spl0_203,
inference(avatar_split_clause,[],[f550,f1869]) ).
fof(f1869,plain,
( spl0_203
<=> ! [X0] :
( ~ class_Ring__and__Field_Oordered__semidom(X0)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f550,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__semidom(X0)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__one__le__zero_0) ).
fof(f1867,plain,
spl0_202,
inference(avatar_split_clause,[],[f537,f1865]) ).
fof(f1865,plain,
( spl0_202
<=> ! [X0] :
( ~ class_Ring__and__Field_Oordered__semidom(X0)
| c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f537,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__semidom(X0)
| c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__one_0) ).
fof(f1863,plain,
spl0_201,
inference(avatar_split_clause,[],[f433,f1861]) ).
fof(f1861,plain,
( spl0_201
<=> ! [X0] :
( ~ class_Ring__and__Field_Oordered__semidom(X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f433,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__semidom(X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__one__less__zero_0) ).
fof(f1859,plain,
spl0_200,
inference(avatar_split_clause,[],[f422,f1857]) ).
fof(f1857,plain,
( spl0_200
<=> ! [X40,X33] :
( X33 = X40
| c_Suc(X33) != c_Suc(X40) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f422,axiom,
! [X40,X33] :
( X33 = X40
| c_Suc(X33) != c_Suc(X40) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat_Oinject_0) ).
fof(f1855,plain,
spl0_199,
inference(avatar_split_clause,[],[f278,f1853]) ).
fof(f278,axiom,
! [X0,X4] :
( ~ class_Lattices_Oupper__semilattice(X0)
| c_Lattices_Oupper__semilattice__class_Osup(X4,X4,X0) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__idem_0) ).
fof(f1851,plain,
spl0_198,
inference(avatar_split_clause,[],[f916,f1849]) ).
fof(f1849,plain,
( spl0_198
<=> ! [X45] :
( ~ class_HOL_Ozero(X45)
| ~ class_HOL_Oeq(X45)
| class_HOL_Oeq(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f916,axiom,
! [X45] :
( ~ class_HOL_Ozero(X45)
| ~ class_HOL_Oeq(X45)
| class_HOL_Oeq(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__HOL_Oeq) ).
fof(f1847,plain,
spl0_197,
inference(avatar_split_clause,[],[f669,f1845]) ).
fof(f1845,plain,
( spl0_197
<=> ! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| ~ c_Polynomial_Opos__poly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f669,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| ~ c_Polynomial_Opos__poly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__pos__poly__0_0) ).
fof(f1843,plain,
spl0_196,
inference(avatar_split_clause,[],[f513,f1841]) ).
fof(f1841,plain,
( spl0_196
<=> ! [X0] :
( ~ class_Ring__and__Field_Ozero__neq__one(X0)
| c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f513,axiom,
! [X0] :
( ~ class_Ring__and__Field_Ozero__neq__one(X0)
| c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_one__neq__zero_0) ).
fof(f1839,plain,
spl0_195,
inference(avatar_split_clause,[],[f507,f1837]) ).
fof(f1837,plain,
( spl0_195
<=> ! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f507,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__0__right_0) ).
fof(f1835,plain,
spl0_194,
inference(avatar_split_clause,[],[f49,f1833]) ).
fof(f1833,plain,
( spl0_194
<=> ! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f49,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_one__dvd_0) ).
fof(f1831,plain,
spl0_193,
inference(avatar_split_clause,[],[f599,f1829]) ).
fof(f1829,plain,
( spl0_193
<=> ! [X4,X0] :
( ~ class_Orderings_Oorder(X0)
| c_lessequals(X4,X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f599,axiom,
! [X0,X4] :
( ~ class_Orderings_Oorder(X0)
| c_lessequals(X4,X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__iff_0) ).
fof(f1827,plain,
spl0_192,
inference(avatar_split_clause,[],[f598,f1825]) ).
fof(f1825,plain,
( spl0_192
<=> ! [X4,X0] :
( ~ class_Orderings_Opreorder(X0)
| c_lessequals(X4,X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f598,axiom,
! [X0,X4] :
( ~ class_Orderings_Opreorder(X0)
| c_lessequals(X4,X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__refl_0) ).
fof(f1823,plain,
spl0_191,
inference(avatar_split_clause,[],[f544,f1821]) ).
fof(f1821,plain,
( spl0_191
<=> ! [X4,X0] :
( ~ class_Orderings_Opreorder(X0)
| ~ c_HOL_Oord__class_Oless(X4,X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f544,axiom,
! [X0,X4] :
( ~ class_Orderings_Opreorder(X0)
| ~ c_HOL_Oord__class_Oless(X4,X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__irrefl_0) ).
fof(f1819,plain,
spl0_190,
inference(avatar_split_clause,[],[f543,f1817]) ).
fof(f1817,plain,
( spl0_190
<=> ! [X4,X0] :
( ~ class_Orderings_Oorder(X0)
| ~ c_HOL_Oord__class_Oless(X4,X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f543,axiom,
! [X0,X4] :
( ~ class_Orderings_Oorder(X0)
| ~ c_HOL_Oord__class_Oless(X4,X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__le_1) ).
fof(f1815,plain,
spl0_189,
inference(avatar_split_clause,[],[f542,f1813]) ).
fof(f1813,plain,
( spl0_189
<=> ! [X4,X0] :
( ~ class_Orderings_Olinorder(X0)
| ~ c_HOL_Oord__class_Oless(X4,X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f542,axiom,
! [X0,X4] :
( ~ class_Orderings_Olinorder(X0)
| ~ c_HOL_Oord__class_Oless(X4,X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__neq__iff_1) ).
fof(f1811,plain,
spl0_188,
inference(avatar_split_clause,[],[f190,f1809]) ).
fof(f1809,plain,
( spl0_188
<=> ! [X4,X0] :
( ~ class_HOL_Oeq(X0)
| c_HOL_Oeq__class_Oeq(X4,X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f190,axiom,
! [X0,X4] :
( ~ class_HOL_Oeq(X0)
| c_HOL_Oeq__class_Oeq(X4,X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__class_Oeq__refl_0) ).
fof(f1807,plain,
spl0_187,
inference(avatar_split_clause,[],[f68,f1805]) ).
fof(f1805,plain,
( spl0_187
<=> ! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f68,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__refl_0) ).
fof(f1803,plain,
spl0_186,
inference(avatar_split_clause,[],[f915,f1801]) ).
fof(f1801,plain,
( spl0_186
<=> ! [X45] :
( ~ class_HOL_Ozero(X45)
| class_HOL_Ozero(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f915,axiom,
! [X45] :
( ~ class_HOL_Ozero(X45)
| class_HOL_Ozero(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__HOL_Ozero) ).
fof(f1799,plain,
spl0_185,
inference(avatar_split_clause,[],[f914,f1797]) ).
fof(f1797,plain,
( spl0_185
<=> ! [X45] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X45)
| class_Int_Onumber__ring(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f914,axiom,
! [X45] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X45)
| class_Int_Onumber__ring(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Int_Onumber__ring) ).
fof(f1795,plain,
spl0_184,
inference(avatar_split_clause,[],[f913,f1793]) ).
fof(f1793,plain,
( spl0_184
<=> ! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_Orderings_Oorder(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f913,axiom,
! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_Orderings_Oorder(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Orderings_Oorder) ).
fof(f1791,plain,
spl0_183,
inference(avatar_split_clause,[],[f912,f1789]) ).
fof(f1789,plain,
( spl0_183
<=> ! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_Orderings_Olinorder(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f912,axiom,
! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_Orderings_Olinorder(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Orderings_Olinorder) ).
fof(f1787,plain,
spl0_182,
inference(avatar_split_clause,[],[f911,f1785]) ).
fof(f1785,plain,
( spl0_182
<=> ! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_Orderings_Opreorder(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f911,axiom,
! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_Orderings_Opreorder(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Orderings_Opreorder) ).
fof(f1783,plain,
spl0_181,
inference(avatar_split_clause,[],[f910,f1781]) ).
fof(f1781,plain,
( spl0_181
<=> ! [X45] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X45)
| class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f910,axiom,
! [X45] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X45)
| class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Odvd) ).
fof(f1779,plain,
spl0_180,
inference(avatar_split_clause,[],[f909,f1777]) ).
fof(f1777,plain,
( spl0_180
<=> ! [X45] :
( ~ class_Ring__and__Field_Oidom(X45)
| class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f909,axiom,
! [X45] :
( ~ class_Ring__and__Field_Oidom(X45)
| class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Oidom) ).
fof(f1775,plain,
spl0_179,
inference(avatar_split_clause,[],[f908,f1773]) ).
fof(f1773,plain,
( spl0_179
<=> ! [X45] :
( ~ class_Ring__and__Field_Ocomm__ring(X45)
| class_Ring__and__Field_Oring(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f908,axiom,
! [X45] :
( ~ class_Ring__and__Field_Ocomm__ring(X45)
| class_Ring__and__Field_Oring(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Oring) ).
fof(f1771,plain,
spl0_178,
inference(avatar_split_clause,[],[f907,f1769]) ).
fof(f1769,plain,
( spl0_178
<=> ! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_Ring__and__Field_Osgn__if(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f907,axiom,
! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_Ring__and__Field_Osgn__if(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Osgn__if) ).
fof(f1767,plain,
spl0_177,
inference(avatar_split_clause,[],[f906,f1765]) ).
fof(f1765,plain,
( spl0_177
<=> ! [X45] :
( ~ class_OrderedGroup_Oab__group__add(X45)
| class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f906,axiom,
! [X45] :
( ~ class_OrderedGroup_Oab__group__add(X45)
| class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__OrderedGroup_Ogroup__add) ).
fof(f1763,plain,
spl0_176,
inference(avatar_split_clause,[],[f905,f1761]) ).
fof(f1761,plain,
( spl0_176
<=> ! [X45] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X45)
| class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f905,axiom,
! [X45] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X45)
| class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__add) ).
fof(f1759,plain,
spl0_175,
inference(avatar_split_clause,[],[f904,f1757]) ).
fof(f1757,plain,
( spl0_175
<=> ! [X45] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X45)
| class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f904,axiom,
! [X45] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X45)
| class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Osemiring) ).
fof(f1755,plain,
spl0_174,
inference(avatar_split_clause,[],[f903,f1753]) ).
fof(f1753,plain,
( spl0_174
<=> ! [X45] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X45)
| class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f903,axiom,
! [X45] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X45)
| class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__mult) ).
fof(f1751,plain,
spl0_173,
inference(avatar_split_clause,[],[f902,f1749]) ).
fof(f1749,plain,
( spl0_173
<=> ! [X45] :
( ~ class_Ring__and__Field_Ocomm__ring(X45)
| class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f902,axiom,
! [X45] :
( ~ class_Ring__and__Field_Ocomm__ring(X45)
| class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring) ).
fof(f1747,plain,
spl0_172,
inference(avatar_split_clause,[],[f901,f1745]) ).
fof(f1745,plain,
( spl0_172
<=> ! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f901,axiom,
! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono) ).
fof(f1743,plain,
spl0_171,
inference(avatar_split_clause,[],[f900,f1741]) ).
fof(f1741,plain,
( spl0_171
<=> ! [X45] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X45)
| class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f900,axiom,
! [X45] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X45)
| class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Omult__zero) ).
fof(f1739,plain,
spl0_170,
inference(avatar_split_clause,[],[f899,f1737]) ).
fof(f1737,plain,
( spl0_170
<=> ! [X45] :
( ~ class_OrderedGroup_Oab__group__add(X45)
| class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f899,axiom,
! [X45] :
( ~ class_OrderedGroup_Oab__group__add(X45)
| class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__OrderedGroup_Oab__group__add) ).
fof(f1735,plain,
spl0_169,
inference(avatar_split_clause,[],[f898,f1733]) ).
fof(f1733,plain,
( spl0_169
<=> ! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f898,axiom,
! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono1) ).
fof(f1731,plain,
spl0_168,
inference(avatar_split_clause,[],[f897,f1729]) ).
fof(f1729,plain,
( spl0_168
<=> ! [X45] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X45)
| class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f897,axiom,
! [X45] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X45)
| class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring__1) ).
fof(f1727,plain,
spl0_167,
inference(avatar_split_clause,[],[f896,f1725]) ).
fof(f1725,plain,
( spl0_167
<=> ! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f896,axiom,
! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__idom) ).
fof(f1723,plain,
spl0_166,
inference(avatar_split_clause,[],[f895,f1721]) ).
fof(f1721,plain,
( spl0_166
<=> ! [X45] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X45)
| class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f895,axiom,
! [X45] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X45)
| class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Ozero__neq__one) ).
fof(f1719,plain,
spl0_165,
inference(avatar_split_clause,[],[f894,f1717]) ).
fof(f1717,plain,
( spl0_165
<=> ! [X45] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X45)
| class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f894,axiom,
! [X45] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X45)
| class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__add) ).
fof(f1715,plain,
spl0_164,
inference(avatar_split_clause,[],[f893,f1713]) ).
fof(f1713,plain,
( spl0_164
<=> ! [X45] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X45)
| class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f893,axiom,
! [X45] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X45)
| class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring) ).
fof(f1711,plain,
spl0_163,
inference(avatar_split_clause,[],[f892,f1709]) ).
fof(f1709,plain,
( spl0_163
<=> ! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f892,axiom,
! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring) ).
fof(f1707,plain,
spl0_162,
inference(avatar_split_clause,[],[f891,f1705]) ).
fof(f1705,plain,
( spl0_162
<=> ! [X45] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X45)
| class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f891,axiom,
! [X45] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X45)
| class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__add) ).
fof(f1703,plain,
spl0_161,
inference(avatar_split_clause,[],[f890,f1701]) ).
fof(f1701,plain,
( spl0_161
<=> ! [X45] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X45)
| class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f890,axiom,
! [X45] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X45)
| class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__mult) ).
fof(f1699,plain,
spl0_160,
inference(avatar_split_clause,[],[f889,f1697]) ).
fof(f1697,plain,
( spl0_160
<=> ! [X45] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X45)
| class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f889,axiom,
! [X45] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X45)
| class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__mult) ).
fof(f1695,plain,
spl0_159,
inference(avatar_split_clause,[],[f888,f1693]) ).
fof(f1693,plain,
( spl0_159
<=> ! [X45] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X45)
| class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f888,axiom,
! [X45] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X45)
| class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__0) ).
fof(f1691,plain,
spl0_158,
inference(avatar_split_clause,[],[f887,f1689]) ).
fof(f1689,plain,
( spl0_158
<=> ! [X45] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X45)
| class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f887,axiom,
! [X45] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X45)
| class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__1) ).
fof(f1687,plain,
spl0_157,
inference(avatar_split_clause,[],[f886,f1685]) ).
fof(f1685,plain,
( spl0_157
<=> ! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f886,axiom,
! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semidom) ).
fof(f1683,plain,
spl0_156,
inference(avatar_split_clause,[],[f885,f1681]) ).
fof(f1681,plain,
( spl0_156
<=> ! [X45] :
( ~ class_Ring__and__Field_Oidom(X45)
| class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f885,axiom,
! [X45] :
( ~ class_Ring__and__Field_Oidom(X45)
| class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Ono__zero__divisors) ).
fof(f1679,plain,
spl0_155,
inference(avatar_split_clause,[],[f884,f1677]) ).
fof(f1677,plain,
( spl0_155
<=> ! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f884,axiom,
! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring) ).
fof(f1675,plain,
spl0_154,
inference(avatar_split_clause,[],[f883,f1673]) ).
fof(f1673,plain,
( spl0_154
<=> ! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f883,axiom,
! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__semiring) ).
fof(f1671,plain,
spl0_153,
inference(avatar_split_clause,[],[f882,f1669]) ).
fof(f1669,plain,
( spl0_153
<=> ! [X45] :
( ~ class_OrderedGroup_Ocancel__comm__monoid__add(X45)
| class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f882,axiom,
! [X45] :
( ~ class_OrderedGroup_Ocancel__comm__monoid__add(X45)
| class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__semigroup__add) ).
fof(f1667,plain,
spl0_152,
inference(avatar_split_clause,[],[f881,f1665]) ).
fof(f1665,plain,
( spl0_152
<=> ! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f881,axiom,
! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__OrderedGroup_Oordered__ab__group__add) ).
fof(f1663,plain,
spl0_151,
inference(avatar_split_clause,[],[f880,f1661]) ).
fof(f1661,plain,
( spl0_151
<=> ! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f880,axiom,
! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add) ).
fof(f1659,plain,
spl0_150,
inference(avatar_split_clause,[],[f879,f1657]) ).
fof(f1657,plain,
( spl0_150
<=> ! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f879,axiom,
! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__ring__strict) ).
fof(f1655,plain,
spl0_149,
inference(avatar_split_clause,[],[f878,f1653]) ).
fof(f1653,plain,
( spl0_149
<=> ! [X45] :
( ~ class_OrderedGroup_Ocancel__comm__monoid__add(X45)
| class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f878,axiom,
! [X45] :
( ~ class_OrderedGroup_Ocancel__comm__monoid__add(X45)
| class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__ab__semigroup__add) ).
fof(f1651,plain,
spl0_148,
inference(avatar_split_clause,[],[f877,f1649]) ).
fof(f1649,plain,
( spl0_148
<=> ! [X45] :
( ~ class_Ring__and__Field_Oidom(X45)
| class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f877,axiom,
! [X45] :
( ~ class_Ring__and__Field_Oidom(X45)
| class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Oring__no__zero__divisors) ).
fof(f1647,plain,
spl0_147,
inference(avatar_split_clause,[],[f876,f1645]) ).
fof(f1645,plain,
( spl0_147
<=> ! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f876,axiom,
! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__OrderedGroup_Opordered__comm__monoid__add) ).
fof(f1643,plain,
spl0_146,
inference(avatar_split_clause,[],[f875,f1641]) ).
fof(f1641,plain,
( spl0_146
<=> ! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f875,axiom,
! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add) ).
fof(f1639,plain,
spl0_145,
inference(avatar_split_clause,[],[f874,f1637]) ).
fof(f1637,plain,
( spl0_145
<=> ! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f874,axiom,
! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring__strict) ).
fof(f1635,plain,
spl0_144,
inference(avatar_split_clause,[],[f873,f1633]) ).
fof(f1633,plain,
( spl0_144
<=> ! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f873,axiom,
! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__cancel__semiring) ).
fof(f1631,plain,
spl0_143,
inference(avatar_split_clause,[],[f872,f1629]) ).
fof(f1629,plain,
( spl0_143
<=> ! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f872,axiom,
! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__comm__semiring__strict) ).
fof(f1627,plain,
spl0_142,
inference(avatar_split_clause,[],[f871,f1625]) ).
fof(f1625,plain,
( spl0_142
<=> ! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f871,axiom,
! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add__imp__le) ).
fof(f1623,plain,
spl0_141,
inference(avatar_split_clause,[],[f870,f1621]) ).
fof(f1621,plain,
( spl0_141
<=> ! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f870,axiom,
! [X45] :
( ~ class_Ring__and__Field_Oordered__idom(X45)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__OrderedGroup_Opordered__cancel__ab__semigroup__add) ).
fof(f1619,plain,
spl0_140,
inference(avatar_split_clause,[],[f737,f1617]) ).
fof(f1617,plain,
( spl0_140
<=> ! [X45] :
( ~ class_OrderedGroup_Ocancel__comm__monoid__add(X45)
| class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f737,axiom,
! [X45] :
( ~ class_OrderedGroup_Ocancel__comm__monoid__add(X45)
| class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X45)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__comm__monoid__add) ).
fof(f1615,plain,
spl0_139,
inference(avatar_split_clause,[],[f562,f1613]) ).
fof(f1613,plain,
( spl0_139
<=> ! [X33] : c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X33) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f562,axiom,
! [X33] : c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X33),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat_Osimps_I3_J_0) ).
fof(f1611,plain,
spl0_138,
inference(avatar_split_clause,[],[f471,f1609]) ).
fof(f1609,plain,
( spl0_138
<=> ! [X4,X0] : c_Fun_Oid(X4,X0) = X4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f471,axiom,
! [X0,X4] : c_Fun_Oid(X4,X0) = X4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_id__apply_0) ).
fof(f1607,plain,
spl0_137,
inference(avatar_split_clause,[],[f741,f1605]) ).
fof(f1605,plain,
( spl0_137
<=> ! [X45,X46] : class_HOL_Oeq(tc_prod(X46,X45)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f741,axiom,
! [X46,X45] : class_HOL_Oeq(tc_prod(X46,X45)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_prod__HOL_Oeq) ).
fof(f1603,plain,
spl0_136,
inference(avatar_split_clause,[],[f601,f1601]) ).
fof(f1601,plain,
( spl0_136
<=> ! [X19] : c_lessequals(X19,X19,tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f601,axiom,
! [X19] : c_lessequals(X19,X19,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__le__refl_0) ).
fof(f1599,plain,
spl0_135,
inference(avatar_split_clause,[],[f21,f1597]) ).
fof(f1597,plain,
( spl0_135
<=> ! [X10] : c_Suc(X10) != X10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f21,axiom,
! [X10] : c_Suc(X10) != X10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__n__not__n_0) ).
fof(f1595,plain,
( ~ spl0_134
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1589,f1582,f1592]) ).
fof(f1589,plain,
( v_c != c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex)
| ~ spl0_133 ),
inference(trivial_inequality_removal,[],[f1588]) ).
fof(f1588,plain,
( v_c != v_c
| v_c != c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex)
| ~ spl0_133 ),
inference(forward_demodulation,[],[f918,f1584]) ).
fof(f1584,plain,
( v_c = v_y
| ~ spl0_133 ),
inference(avatar_component_clause,[],[f1582]) ).
fof(f918,plain,
( v_c != v_y
| v_c != c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) ),
inference(inner_rewriting,[],[f735]) ).
fof(f735,axiom,
( v_c != v_y
| v_y != c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1587,plain,
( ~ spl0_133
| spl0_132 ),
inference(avatar_split_clause,[],[f1586,f1578,f1582]) ).
fof(f1586,plain,
( v_c != v_y
| spl0_132 ),
inference(forward_demodulation,[],[f1579,f734]) ).
fof(f1579,plain,
( v_y != c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex)
| spl0_132 ),
inference(avatar_component_clause,[],[f1578]) ).
fof(f1585,plain,
( spl0_132
| spl0_133 ),
inference(avatar_split_clause,[],[f736,f1582,f1578]) ).
fof(f736,axiom,
( v_c = v_y
| v_y = c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1576,plain,
spl0_131,
inference(avatar_split_clause,[],[f869,f1573]) ).
fof(f1573,plain,
( spl0_131
<=> class_HOL_Oeq(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f869,axiom,
class_HOL_Oeq(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__HOL_Oeq) ).
fof(f1571,plain,
spl0_130,
inference(avatar_split_clause,[],[f868,f1568]) ).
fof(f1568,plain,
( spl0_130
<=> class_HOL_Ozero(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f868,axiom,
class_HOL_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__HOL_Ozero) ).
fof(f1566,plain,
spl0_129,
inference(avatar_split_clause,[],[f867,f1563]) ).
fof(f1563,plain,
( spl0_129
<=> class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f867,axiom,
class_Int_Onumber__ring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Int_Onumber__ring) ).
fof(f1561,plain,
spl0_128,
inference(avatar_split_clause,[],[f866,f1558]) ).
fof(f1558,plain,
( spl0_128
<=> class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f866,axiom,
class_Ring__and__Field_Odvd(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Odvd) ).
fof(f1556,plain,
spl0_127,
inference(avatar_split_clause,[],[f865,f1553]) ).
fof(f1553,plain,
( spl0_127
<=> class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f865,axiom,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oidom) ).
fof(f1551,plain,
spl0_126,
inference(avatar_split_clause,[],[f864,f1548]) ).
fof(f1548,plain,
( spl0_126
<=> class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f864,axiom,
class_Ring__and__Field_Oring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oring) ).
fof(f1546,plain,
spl0_125,
inference(avatar_split_clause,[],[f863,f1543]) ).
fof(f1543,plain,
( spl0_125
<=> class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f863,axiom,
class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ofield) ).
fof(f1541,plain,
spl0_124,
inference(avatar_split_clause,[],[f862,f1538]) ).
fof(f1538,plain,
( spl0_124
<=> class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f862,axiom,
class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add) ).
fof(f1536,plain,
spl0_123,
inference(avatar_split_clause,[],[f861,f1533]) ).
fof(f1533,plain,
( spl0_123
<=> class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f861,axiom,
class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add) ).
fof(f1531,plain,
spl0_122,
inference(avatar_split_clause,[],[f860,f1528]) ).
fof(f1528,plain,
( spl0_122
<=> class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f860,axiom,
class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring) ).
fof(f1526,plain,
spl0_121,
inference(avatar_split_clause,[],[f859,f1523]) ).
fof(f859,axiom,
class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult) ).
fof(f1521,plain,
spl0_120,
inference(avatar_split_clause,[],[f858,f1518]) ).
fof(f1518,plain,
( spl0_120
<=> class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f858,axiom,
class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring) ).
fof(f1516,plain,
spl0_119,
inference(avatar_split_clause,[],[f857,f1513]) ).
fof(f1513,plain,
( spl0_119
<=> class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f857,axiom,
class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero) ).
fof(f1511,plain,
spl0_118,
inference(avatar_split_clause,[],[f856,f1508]) ).
fof(f1508,plain,
( spl0_118
<=> class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f856,axiom,
class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add) ).
fof(f1506,plain,
spl0_117,
inference(avatar_split_clause,[],[f855,f1503]) ).
fof(f1503,plain,
( spl0_117
<=> class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f855,axiom,
class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1) ).
fof(f1501,plain,
spl0_116,
inference(avatar_split_clause,[],[f854,f1498]) ).
fof(f1498,plain,
( spl0_116
<=> class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f854,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one) ).
fof(f1496,plain,
spl0_115,
inference(avatar_split_clause,[],[f853,f1493]) ).
fof(f1493,plain,
( spl0_115
<=> class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f853,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add) ).
fof(f1491,plain,
spl0_114,
inference(avatar_split_clause,[],[f852,f1488]) ).
fof(f1488,plain,
( spl0_114
<=> class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f852,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring) ).
fof(f1486,plain,
spl0_113,
inference(avatar_split_clause,[],[f851,f1483]) ).
fof(f1483,plain,
( spl0_113
<=> class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f851,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add) ).
fof(f1481,plain,
spl0_112,
inference(avatar_split_clause,[],[f850,f1478]) ).
fof(f1478,plain,
( spl0_112
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f850,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult) ).
fof(f1476,plain,
spl0_111,
inference(avatar_split_clause,[],[f849,f1473]) ).
fof(f1473,plain,
( spl0_111
<=> class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f849,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(f1471,plain,
spl0_110,
inference(avatar_split_clause,[],[f848,f1468]) ).
fof(f1468,plain,
( spl0_110
<=> class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f848,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult) ).
fof(f1466,plain,
spl0_109,
inference(avatar_split_clause,[],[f847,f1463]) ).
fof(f1463,plain,
( spl0_109
<=> class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f847,axiom,
class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra) ).
fof(f1461,plain,
spl0_108,
inference(avatar_split_clause,[],[f846,f1458]) ).
fof(f1458,plain,
( spl0_108
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f846,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).
fof(f1456,plain,
spl0_107,
inference(avatar_split_clause,[],[f845,f1453]) ).
fof(f845,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).
fof(f1451,plain,
spl0_106,
inference(avatar_split_clause,[],[f844,f1448]) ).
fof(f1448,plain,
( spl0_106
<=> class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f844,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors) ).
fof(f1446,plain,
spl0_105,
inference(avatar_split_clause,[],[f843,f1443]) ).
fof(f1443,plain,
( spl0_105
<=> class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f843,axiom,
class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1) ).
fof(f1441,plain,
spl0_104,
inference(avatar_split_clause,[],[f842,f1438]) ).
fof(f1438,plain,
( spl0_104
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f842,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add) ).
fof(f1436,plain,
spl0_103,
inference(avatar_split_clause,[],[f841,f1433]) ).
fof(f1433,plain,
( spl0_103
<=> class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f841,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra) ).
fof(f1431,plain,
spl0_102,
inference(avatar_split_clause,[],[f840,f1428]) ).
fof(f1428,plain,
( spl0_102
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f840,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add) ).
fof(f1426,plain,
spl0_101,
inference(avatar_split_clause,[],[f839,f1423]) ).
fof(f1423,plain,
( spl0_101
<=> class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f839,axiom,
class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors) ).
fof(f1421,plain,
spl0_100,
inference(avatar_split_clause,[],[f838,f1418]) ).
fof(f1418,plain,
( spl0_100
<=> class_HOL_Oeq(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f838,axiom,
class_HOL_Oeq(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__HOL_Oeq) ).
fof(f1416,plain,
spl0_99,
inference(avatar_split_clause,[],[f837,f1413]) ).
fof(f1413,plain,
( spl0_99
<=> class_HOL_Ozero(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f837,axiom,
class_HOL_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__HOL_Ozero) ).
fof(f1411,plain,
spl0_98,
inference(avatar_split_clause,[],[f836,f1408]) ).
fof(f1408,plain,
( spl0_98
<=> class_Int_Onumber__ring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f836,axiom,
class_Int_Onumber__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Int_Onumber__ring) ).
fof(f1406,plain,
spl0_97,
inference(avatar_split_clause,[],[f835,f1403]) ).
fof(f1403,plain,
( spl0_97
<=> class_Orderings_Oorder(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f835,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Oorder) ).
fof(f1401,plain,
spl0_96,
inference(avatar_split_clause,[],[f834,f1398]) ).
fof(f1398,plain,
( spl0_96
<=> class_Lattices_Olattice(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f834,axiom,
class_Lattices_Olattice(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Lattices_Olattice) ).
fof(f1396,plain,
spl0_95,
inference(avatar_split_clause,[],[f833,f1393]) ).
fof(f1393,plain,
( spl0_95
<=> class_Orderings_Olinorder(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f833,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Olinorder) ).
fof(f1391,plain,
spl0_94,
inference(avatar_split_clause,[],[f832,f1388]) ).
fof(f1388,plain,
( spl0_94
<=> class_Orderings_Opreorder(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f832,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Opreorder) ).
fof(f1386,plain,
spl0_93,
inference(avatar_split_clause,[],[f831,f1383]) ).
fof(f1383,plain,
( spl0_93
<=> class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f831,axiom,
class_Ring__and__Field_Odvd(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Odvd) ).
fof(f1381,plain,
spl0_92,
inference(avatar_split_clause,[],[f830,f1378]) ).
fof(f1378,plain,
( spl0_92
<=> class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f830,axiom,
class_Ring__and__Field_Oidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oidom) ).
fof(f1376,plain,
spl0_91,
inference(avatar_split_clause,[],[f829,f1373]) ).
fof(f1373,plain,
( spl0_91
<=> class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f829,axiom,
class_Ring__and__Field_Oring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oring) ).
fof(f1371,plain,
spl0_90,
inference(avatar_split_clause,[],[f828,f1368]) ).
fof(f1368,plain,
( spl0_90
<=> class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f828,axiom,
class_Ring__and__Field_Ofield(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ofield) ).
fof(f1366,plain,
spl0_89,
inference(avatar_split_clause,[],[f827,f1363]) ).
fof(f1363,plain,
( spl0_89
<=> class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f827,axiom,
class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Osgn__if) ).
fof(f1361,plain,
spl0_88,
inference(avatar_split_clause,[],[f826,f1358]) ).
fof(f1358,plain,
( spl0_88
<=> class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f826,axiom,
class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add) ).
fof(f1356,plain,
spl0_87,
inference(avatar_split_clause,[],[f825,f1353]) ).
fof(f1353,plain,
( spl0_87
<=> class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f825,axiom,
class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add) ).
fof(f1351,plain,
spl0_86,
inference(avatar_split_clause,[],[f824,f1348]) ).
fof(f1348,plain,
( spl0_86
<=> class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f824,axiom,
class_Ring__and__Field_Osemiring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Osemiring) ).
fof(f1346,plain,
spl0_85,
inference(avatar_split_clause,[],[f823,f1343]) ).
fof(f1343,plain,
( spl0_85
<=> class_Lattices_Odistrib__lattice(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f823,axiom,
class_Lattices_Odistrib__lattice(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Lattices_Odistrib__lattice) ).
fof(f1341,plain,
spl0_84,
inference(avatar_split_clause,[],[f822,f1338]) ).
fof(f822,axiom,
class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult) ).
fof(f1336,plain,
spl0_83,
inference(avatar_split_clause,[],[f821,f1333]) ).
fof(f1333,plain,
( spl0_83
<=> class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f821,axiom,
class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring) ).
fof(f1331,plain,
spl0_82,
inference(avatar_split_clause,[],[f820,f1328]) ).
fof(f1328,plain,
( spl0_82
<=> class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f820,axiom,
class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono) ).
fof(f1326,plain,
spl0_81,
inference(avatar_split_clause,[],[f819,f1323]) ).
fof(f1323,plain,
( spl0_81
<=> class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f819,axiom,
class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero) ).
fof(f1321,plain,
spl0_80,
inference(avatar_split_clause,[],[f818,f1318]) ).
fof(f1318,plain,
( spl0_80
<=> class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f818,axiom,
class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add) ).
fof(f1316,plain,
spl0_79,
inference(avatar_split_clause,[],[f817,f1313]) ).
fof(f1313,plain,
( spl0_79
<=> class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f817,axiom,
class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1) ).
fof(f1311,plain,
spl0_78,
inference(avatar_split_clause,[],[f816,f1308]) ).
fof(f816,axiom,
class_Lattices_Olower__semilattice(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Lattices_Olower__semilattice) ).
fof(f1306,plain,
spl0_77,
inference(avatar_split_clause,[],[f815,f1303]) ).
fof(f815,axiom,
class_Lattices_Oupper__semilattice(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Lattices_Oupper__semilattice) ).
fof(f1301,plain,
spl0_76,
inference(avatar_split_clause,[],[f814,f1298]) ).
fof(f1298,plain,
( spl0_76
<=> class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f814,axiom,
class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring__1) ).
fof(f1296,plain,
spl0_75,
inference(avatar_split_clause,[],[f813,f1293]) ).
fof(f1293,plain,
( spl0_75
<=> class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f813,axiom,
class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom) ).
fof(f1291,plain,
spl0_74,
inference(avatar_split_clause,[],[f812,f1288]) ).
fof(f1288,plain,
( spl0_74
<=> class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f812,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one) ).
fof(f1286,plain,
spl0_73,
inference(avatar_split_clause,[],[f811,f1283]) ).
fof(f1283,plain,
( spl0_73
<=> class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f811,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add) ).
fof(f1281,plain,
spl0_72,
inference(avatar_split_clause,[],[f810,f1278]) ).
fof(f1278,plain,
( spl0_72
<=> class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f810,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring) ).
fof(f1276,plain,
spl0_71,
inference(avatar_split_clause,[],[f809,f1273]) ).
fof(f1273,plain,
( spl0_71
<=> class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f809,axiom,
class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring) ).
fof(f1271,plain,
spl0_70,
inference(avatar_split_clause,[],[f808,f1268]) ).
fof(f1268,plain,
( spl0_70
<=> class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f808,axiom,
class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring) ).
fof(f1266,plain,
spl0_69,
inference(avatar_split_clause,[],[f807,f1263]) ).
fof(f1263,plain,
( spl0_69
<=> class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f807,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add) ).
fof(f1261,plain,
spl0_68,
inference(avatar_split_clause,[],[f806,f1258]) ).
fof(f1258,plain,
( spl0_68
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f806,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult) ).
fof(f1256,plain,
spl0_67,
inference(avatar_split_clause,[],[f805,f1253]) ).
fof(f1253,plain,
( spl0_67
<=> class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f805,axiom,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector) ).
fof(f1251,plain,
spl0_66,
inference(avatar_split_clause,[],[f804,f1248]) ).
fof(f1248,plain,
( spl0_66
<=> class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f804,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult) ).
fof(f1246,plain,
spl0_65,
inference(avatar_split_clause,[],[f803,f1243]) ).
fof(f1243,plain,
( spl0_65
<=> class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f803,axiom,
class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra) ).
fof(f1241,plain,
spl0_64,
inference(avatar_split_clause,[],[f802,f1238]) ).
fof(f1238,plain,
( spl0_64
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f802,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__0) ).
fof(f1236,plain,
spl0_63,
inference(avatar_split_clause,[],[f801,f1233]) ).
fof(f801,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1) ).
fof(f1231,plain,
spl0_62,
inference(avatar_split_clause,[],[f800,f1228]) ).
fof(f1228,plain,
( spl0_62
<=> class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f800,axiom,
class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom) ).
fof(f1226,plain,
spl0_61,
inference(avatar_split_clause,[],[f799,f1223]) ).
fof(f1223,plain,
( spl0_61
<=> class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f799,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors) ).
fof(f1221,plain,
spl0_60,
inference(avatar_split_clause,[],[f798,f1218]) ).
fof(f1218,plain,
( spl0_60
<=> class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f798,axiom,
class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring) ).
fof(f1216,plain,
spl0_59,
inference(avatar_split_clause,[],[f797,f1213]) ).
fof(f1213,plain,
( spl0_59
<=> class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f797,axiom,
class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1) ).
fof(f1211,plain,
spl0_58,
inference(avatar_split_clause,[],[f796,f1208]) ).
fof(f1208,plain,
( spl0_58
<=> class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f796,axiom,
class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring) ).
fof(f1206,plain,
spl0_57,
inference(avatar_split_clause,[],[f795,f1203]) ).
fof(f1203,plain,
( spl0_57
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f795,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add) ).
fof(f1201,plain,
spl0_56,
inference(avatar_split_clause,[],[f794,f1198]) ).
fof(f1198,plain,
( spl0_56
<=> class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f794,axiom,
class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add) ).
fof(f1196,plain,
spl0_55,
inference(avatar_split_clause,[],[f793,f1193]) ).
fof(f1193,plain,
( spl0_55
<=> class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f793,axiom,
class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add) ).
fof(f1191,plain,
spl0_54,
inference(avatar_split_clause,[],[f792,f1188]) ).
fof(f1188,plain,
( spl0_54
<=> class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f792,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add) ).
fof(f1186,plain,
spl0_53,
inference(avatar_split_clause,[],[f791,f1183]) ).
fof(f1183,plain,
( spl0_53
<=> class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f791,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra) ).
fof(f1181,plain,
spl0_52,
inference(avatar_split_clause,[],[f790,f1178]) ).
fof(f1178,plain,
( spl0_52
<=> class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f790,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict) ).
fof(f1176,plain,
spl0_51,
inference(avatar_split_clause,[],[f789,f1173]) ).
fof(f1173,plain,
( spl0_51
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f789,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add) ).
fof(f1171,plain,
spl0_50,
inference(avatar_split_clause,[],[f788,f1168]) ).
fof(f1168,plain,
( spl0_50
<=> class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f788,axiom,
class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors) ).
fof(f1166,plain,
spl0_49,
inference(avatar_split_clause,[],[f787,f1163]) ).
fof(f1163,plain,
( spl0_49
<=> class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f787,axiom,
class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add) ).
fof(f1161,plain,
spl0_48,
inference(avatar_split_clause,[],[f786,f1158]) ).
fof(f1158,plain,
( spl0_48
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f786,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add) ).
fof(f1156,plain,
spl0_47,
inference(avatar_split_clause,[],[f785,f1153]) ).
fof(f1153,plain,
( spl0_47
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f785,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict) ).
fof(f1151,plain,
spl0_46,
inference(avatar_split_clause,[],[f784,f1148]) ).
fof(f1148,plain,
( spl0_46
<=> class_OrderedGroup_Olordered__ab__group__add__join(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f784,axiom,
class_OrderedGroup_Olordered__ab__group__add__join(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__join) ).
fof(f1146,plain,
spl0_45,
inference(avatar_split_clause,[],[f783,f1143]) ).
fof(f1143,plain,
( spl0_45
<=> class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f783,axiom,
class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__meet) ).
fof(f1141,plain,
spl0_44,
inference(avatar_split_clause,[],[f782,f1138]) ).
fof(f1138,plain,
( spl0_44
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f782,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring) ).
fof(f1136,plain,
spl0_43,
inference(avatar_split_clause,[],[f781,f1133]) ).
fof(f1133,plain,
( spl0_43
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f781,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict) ).
fof(f1131,plain,
spl0_42,
inference(avatar_split_clause,[],[f780,f1128]) ).
fof(f1128,plain,
( spl0_42
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f780,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le) ).
fof(f1126,plain,
spl0_41,
inference(avatar_split_clause,[],[f779,f1123]) ).
fof(f1123,plain,
( spl0_41
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f779,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add) ).
fof(f1121,plain,
spl0_40,
inference(avatar_split_clause,[],[f778,f1118]) ).
fof(f1118,plain,
( spl0_40
<=> class_HOL_Oeq(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f778,axiom,
class_HOL_Oeq(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__HOL_Oeq) ).
fof(f1116,plain,
spl0_39,
inference(avatar_split_clause,[],[f777,f1113]) ).
fof(f1113,plain,
( spl0_39
<=> class_HOL_Ozero(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f777,axiom,
class_HOL_Ozero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__HOL_Ozero) ).
fof(f1111,plain,
spl0_38,
inference(avatar_split_clause,[],[f776,f1108]) ).
fof(f1108,plain,
( spl0_38
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f776,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).
fof(f1106,plain,
spl0_37,
inference(avatar_split_clause,[],[f775,f1103]) ).
fof(f775,axiom,
class_Lattices_Olattice(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olattice) ).
fof(f1101,plain,
spl0_36,
inference(avatar_split_clause,[],[f774,f1098]) ).
fof(f1098,plain,
( spl0_36
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f774,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
fof(f1096,plain,
spl0_35,
inference(avatar_split_clause,[],[f773,f1093]) ).
fof(f1093,plain,
( spl0_35
<=> class_Orderings_Opreorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f773,axiom,
class_Orderings_Opreorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).
fof(f1091,plain,
spl0_34,
inference(avatar_split_clause,[],[f772,f1088]) ).
fof(f1088,plain,
( spl0_34
<=> class_Ring__and__Field_Odvd(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f772,axiom,
class_Ring__and__Field_Odvd(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Odvd) ).
fof(f1086,plain,
spl0_33,
inference(avatar_split_clause,[],[f771,f1083]) ).
fof(f1083,plain,
( spl0_33
<=> class_OrderedGroup_Omonoid__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f771,axiom,
class_OrderedGroup_Omonoid__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Omonoid__add) ).
fof(f1081,plain,
spl0_32,
inference(avatar_split_clause,[],[f770,f1078]) ).
fof(f1078,plain,
( spl0_32
<=> class_Ring__and__Field_Osemiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f770,axiom,
class_Ring__and__Field_Osemiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Osemiring) ).
fof(f1076,plain,
spl0_31,
inference(avatar_split_clause,[],[f769,f1073]) ).
fof(f1073,plain,
( spl0_31
<=> class_Lattices_Odistrib__lattice(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f769,axiom,
class_Lattices_Odistrib__lattice(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Lattices_Odistrib__lattice) ).
fof(f1071,plain,
spl0_30,
inference(avatar_split_clause,[],[f768,f1068]) ).
fof(f768,axiom,
class_OrderedGroup_Omonoid__mult(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Omonoid__mult) ).
fof(f1066,plain,
spl0_29,
inference(avatar_split_clause,[],[f767,f1063]) ).
fof(f1063,plain,
( spl0_29
<=> class_Ring__and__Field_Omult__mono(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f767,axiom,
class_Ring__and__Field_Omult__mono(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Omult__mono) ).
fof(f1061,plain,
spl0_28,
inference(avatar_split_clause,[],[f766,f1058]) ).
fof(f1058,plain,
( spl0_28
<=> class_Ring__and__Field_Omult__zero(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f766,axiom,
class_Ring__and__Field_Omult__zero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Omult__zero) ).
fof(f1056,plain,
spl0_27,
inference(avatar_split_clause,[],[f765,f1053]) ).
fof(f1053,plain,
( spl0_27
<=> class_Ring__and__Field_Omult__mono1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f765,axiom,
class_Ring__and__Field_Omult__mono1(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Omult__mono1) ).
fof(f1051,plain,
spl0_26,
inference(avatar_split_clause,[],[f764,f1048]) ).
fof(f764,axiom,
class_Lattices_Olower__semilattice(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olower__semilattice) ).
fof(f1046,plain,
spl0_25,
inference(avatar_split_clause,[],[f763,f1043]) ).
fof(f763,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Lattices_Oupper__semilattice) ).
fof(f1041,plain,
spl0_24,
inference(avatar_split_clause,[],[f762,f1038]) ).
fof(f1038,plain,
( spl0_24
<=> class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f762,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ozero__neq__one) ).
fof(f1036,plain,
spl0_23,
inference(avatar_split_clause,[],[f761,f1033]) ).
fof(f1033,plain,
( spl0_23
<=> class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f761,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocomm__monoid__add) ).
fof(f1031,plain,
spl0_22,
inference(avatar_split_clause,[],[f760,f1028]) ).
fof(f1028,plain,
( spl0_22
<=> class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f760,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ocomm__semiring) ).
fof(f1026,plain,
spl0_21,
inference(avatar_split_clause,[],[f759,f1023]) ).
fof(f1023,plain,
( spl0_21
<=> class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f759,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Oab__semigroup__add) ).
fof(f1021,plain,
spl0_20,
inference(avatar_split_clause,[],[f758,f1018]) ).
fof(f1018,plain,
( spl0_20
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f758,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocomm__monoid__mult) ).
fof(f1016,plain,
spl0_19,
inference(avatar_split_clause,[],[f757,f1013]) ).
fof(f1013,plain,
( spl0_19
<=> class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f757,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Oab__semigroup__mult) ).
fof(f1011,plain,
spl0_18,
inference(avatar_split_clause,[],[f756,f1008]) ).
fof(f1008,plain,
( spl0_18
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f756,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ocomm__semiring__0) ).
fof(f1006,plain,
spl0_17,
inference(avatar_split_clause,[],[f755,f1003]) ).
fof(f755,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ocomm__semiring__1) ).
fof(f1001,plain,
spl0_16,
inference(avatar_split_clause,[],[f754,f998]) ).
fof(f998,plain,
( spl0_16
<=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f754,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Oordered__semidom) ).
fof(f996,plain,
spl0_15,
inference(avatar_split_clause,[],[f753,f993]) ).
fof(f993,plain,
( spl0_15
<=> class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f753,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ono__zero__divisors) ).
fof(f991,plain,
spl0_14,
inference(avatar_split_clause,[],[f752,f988]) ).
fof(f988,plain,
( spl0_14
<=> class_Ring__and__Field_Oordered__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f752,axiom,
class_Ring__and__Field_Oordered__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Oordered__semiring) ).
fof(f986,plain,
spl0_13,
inference(avatar_split_clause,[],[f751,f983]) ).
fof(f983,plain,
( spl0_13
<=> class_Ring__and__Field_Opordered__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f751,axiom,
class_Ring__and__Field_Opordered__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Opordered__semiring) ).
fof(f981,plain,
spl0_12,
inference(avatar_split_clause,[],[f750,f978]) ).
fof(f978,plain,
( spl0_12
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f750,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocancel__semigroup__add) ).
fof(f976,plain,
spl0_11,
inference(avatar_split_clause,[],[f749,f973]) ).
fof(f973,plain,
( spl0_11
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f749,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add) ).
fof(f971,plain,
spl0_10,
inference(avatar_split_clause,[],[f748,f968]) ).
fof(f968,plain,
( spl0_10
<=> class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f748,axiom,
class_OrderedGroup_Opordered__comm__monoid__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__comm__monoid__add) ).
fof(f966,plain,
spl0_9,
inference(avatar_split_clause,[],[f747,f963]) ).
fof(f963,plain,
( spl0_9
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f747,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add) ).
fof(f961,plain,
spl0_8,
inference(avatar_split_clause,[],[f746,f958]) ).
fof(f958,plain,
( spl0_8
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f746,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Oordered__semiring__strict) ).
fof(f956,plain,
spl0_7,
inference(avatar_split_clause,[],[f745,f953]) ).
fof(f953,plain,
( spl0_7
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f745,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Opordered__cancel__semiring) ).
fof(f951,plain,
spl0_6,
inference(avatar_split_clause,[],[f744,f948]) ).
fof(f948,plain,
( spl0_6
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f744,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict) ).
fof(f946,plain,
spl0_5,
inference(avatar_split_clause,[],[f743,f943]) ).
fof(f943,plain,
( spl0_5
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f743,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le) ).
fof(f941,plain,
spl0_4,
inference(avatar_split_clause,[],[f742,f938]) ).
fof(f938,plain,
( spl0_4
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f742,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add) ).
fof(f936,plain,
spl0_3,
inference(avatar_split_clause,[],[f740,f933]) ).
fof(f933,plain,
( spl0_3
<=> class_OrderedGroup_Ocancel__comm__monoid__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f740,axiom,
class_OrderedGroup_Ocancel__comm__monoid__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocancel__comm__monoid__add) ).
fof(f931,plain,
spl0_2,
inference(avatar_split_clause,[],[f739,f928]) ).
fof(f928,plain,
( spl0_2
<=> class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f739,axiom,
class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ocancel__comm__monoid__add) ).
fof(f926,plain,
spl0_1,
inference(avatar_split_clause,[],[f738,f923]) ).
fof(f923,plain,
( spl0_1
<=> class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f738,axiom,
class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__comm__monoid__add) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : ALG439-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n022.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 19:54:52 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (31112)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.37 % (31115)WARNING: value z3 for option sas not known
% 0.16/0.37 % (31117)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)
% 0.16/0.37 % (31114)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.37 % (31118)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)
% 0.16/0.37 % (31113)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.37 % (31119)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)
% 0.16/0.37 % (31116)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.37 % (31115)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)
% 0.16/0.42 % (31117)First to succeed.
% 0.16/0.43 % (31115)Also succeeded, but the first one will report.
% 0.16/0.43 % (31117)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31112"
% 0.16/0.43 % (31117)Refutation found. Thanks to Tanya!
% 0.16/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.44 % (31117)------------------------------
% 0.16/0.44 % (31117)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.44 % (31117)Termination reason: Refutation
% 0.16/0.44
% 0.16/0.44 % (31117)Memory used [KB]: 2430
% 0.16/0.44 % (31117)Time elapsed: 0.060 s
% 0.16/0.44 % (31117)Instructions burned: 108 (million)
% 0.16/0.44 % (31112)Success in time 0.11 s
%------------------------------------------------------------------------------