TSTP Solution File: ALG376-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG376-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n013.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 : Wed Aug 31 15:44:13 EDT 2022
% Result : Unsatisfiable 11.14s 1.93s
% Output : Refutation 11.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 486
% Syntax : Number of formulae : 816 ( 466 unt; 0 def)
% Number of atoms : 1209 ( 88 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 555 ( 162 ~; 149 |; 0 &)
% ( 244 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 309 ( 307 usr; 245 prp; 0-3 aty)
% Number of functors : 32 ( 32 usr; 14 con; 0-3 aty)
% Number of variables : 127 ( 127 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3145,plain,
$false,
inference(avatar_smt_refutation,[],[f1313,f1318,f1323,f1328,f1333,f1338,f1343,f1348,f1353,f1358,f1363,f1368,f1373,f1378,f1383,f1388,f1393,f1398,f1403,f1408,f1413,f1418,f1423,f1432,f1437,f1442,f1447,f1452,f1457,f1462,f1467,f1472,f1477,f1482,f1487,f1492,f1497,f1502,f1507,f1513,f1518,f1523,f1528,f1533,f1538,f1543,f1548,f1553,f1558,f1563,f1568,f1573,f1578,f1583,f1588,f1594,f1599,f1605,f1610,f1615,f1620,f1625,f1630,f1635,f1640,f1645,f1650,f1655,f1660,f1665,f1670,f1675,f1680,f1685,f1690,f1696,f1701,f1706,f1711,f1716,f1717,f1722,f1728,f1733,f1738,f1743,f1748,f1753,f1758,f1763,f1768,f1773,f1778,f1783,f1788,f1793,f1798,f1803,f1808,f1813,f1818,f1823,f1828,f1833,f1838,f1843,f1848,f1853,f1858,f1864,f1869,f1874,f1879,f1884,f1889,f1895,f1900,f1906,f1911,f1916,f1921,f1926,f1931,f1939,f1945,f1951,f1956,f1961,f1966,f1974,f1981,f1986,f1991,f1996,f2001,f2006,f2012,f2017,f2022,f2027,f2028,f2033,f2038,f2043,f2048,f2053,f2058,f2063,f2068,f2073,f2078,f2084,f2089,f2094,f2099,f2104,f2109,f2114,f2120,f2125,f2130,f2135,f2140,f2146,f2151,f2156,f2157,f2162,f2167,f2172,f2177,f2182,f2187,f2195,f2200,f2205,f2210,f2215,f2220,f2225,f2230,f2235,f2240,f2245,f2250,f2257,f2262,f2267,f2272,f2277,f2282,f2287,f2292,f2297,f2302,f2312,f2318,f2325,f2331,f2336,f2341,f2353,f2358,f2364,f2369,f2374,f2379,f2384,f2389,f2394,f2399,f2405,f2414,f2420,f2426,f2432,f2438,f2440,f2454,f2482,f2491,f2635,f2777,f2786,f2792,f2798,f2828,f2830,f2862,f2951,f2978,f3001,f3007,f3036,f3040,f3044,f3048,f3052,f3081,f3104,f3110,f3119,f3144]) ).
fof(f3144,plain,
( spl0_213
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f3141,f1425,f2423]) ).
fof(f2423,plain,
( spl0_213
<=> c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f1425,plain,
( spl0_24
<=> c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f3141,plain,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_24 ),
inference(resolution,[],[f2347,f1427]) ).
fof(f1427,plain,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f1425]) ).
fof(f2347,plain,
! [X38] :
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X38,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X38,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(backward_demodulation,[],[f1244,f2346]) ).
fof(f2346,plain,
! [X4,X5] : c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X5,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f2345,f751]) ).
fof(f751,axiom,
! [X14,X34] : c_HOL_Ominus__class_Ominus(X14,X34,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X14,c_HOL_Ouminus__class_Ouminus(X34,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__diff__def_0) ).
fof(f2345,plain,
! [X4,X5] : c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X4,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f753,f751]) ).
fof(f753,axiom,
! [X4,X5] : c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X4,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_abs__minus__add__cancel_0) ).
fof(f1244,plain,
! [X38] :
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X38,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X38,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal) ),
inference(definition_unfolding,[],[f1065,f773]) ).
fof(f773,axiom,
! [X24] : c_Int_OBit0(X24) = c_HOL_Oplus__class_Oplus(X24,X24,tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Bit0__def_0) ).
fof(f1065,axiom,
! [X38] :
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X38,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X38,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f3119,plain,
( spl0_244
| ~ spl0_242
| ~ spl0_243 ),
inference(avatar_split_clause,[],[f3114,f3107,f3101,f3116]) ).
fof(f3116,plain,
( spl0_244
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).
fof(f3101,plain,
( spl0_242
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
fof(f3107,plain,
( spl0_243
<=> c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
fof(f3114,plain,
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_242
| ~ spl0_243 ),
inference(forward_demodulation,[],[f3109,f3103]) ).
fof(f3103,plain,
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_242 ),
inference(avatar_component_clause,[],[f3101]) ).
fof(f3109,plain,
( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_243 ),
inference(avatar_component_clause,[],[f3107]) ).
fof(f3110,plain,
( spl0_243
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f3105,f2024,f3107]) ).
fof(f2024,plain,
( spl0_140
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f3105,plain,
( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_140 ),
inference(forward_demodulation,[],[f3088,f2469]) ).
fof(f2469,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(X0,X0,tc_RealDef_Oreal),
inference(superposition,[],[f238,f751]) ).
fof(f238,axiom,
! [X4] : c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X4,c_HOL_Ouminus__class_Ouminus(X4,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__add__eq__0__iff_1) ).
fof(f3088,plain,
( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_140 ),
inference(superposition,[],[f1274,f2026]) ).
fof(f2026,plain,
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f2024]) ).
fof(f1274,plain,
! [X2,X3] : c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X3,X2,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X3,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal),
inference(definition_unfolding,[],[f938,f773,f773]) ).
fof(f938,axiom,
! [X2,X3] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X3,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X3,X2,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__average__minus__first_0) ).
fof(f3104,plain,
spl0_242,
inference(avatar_split_clause,[],[f3099,f3101]) ).
fof(f3099,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f3090,f2469]) ).
fof(f3090,plain,
! [X6] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(superposition,[],[f1274,f1301]) ).
fof(f1301,plain,
! [X4] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = X4,
inference(definition_unfolding,[],[f929,f773,f773]) ).
fof(f929,axiom,
! [X4] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = X4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__sum__of__halves_0) ).
fof(f3081,plain,
( spl0_240
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f3072,f3078,f3075]) ).
fof(f3075,plain,
( spl0_240
<=> ! [X5] :
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f3078,plain,
( spl0_241
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
fof(f3072,plain,
! [X5] :
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
inference(resolution,[],[f1269,f339]) ).
fof(f339,axiom,
! [X4,X5] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X4,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__0__le__divide__iff_4) ).
fof(f1269,plain,
! [X4,X5] :
( ~ c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X5,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oplus__class_Oplus(X4,c_HOL_Oinverse__class_Odivide(X5,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
inference(definition_unfolding,[],[f761,f773,f773]) ).
fof(f761,axiom,
! [X4,X5] :
( ~ c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X5,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oplus__class_Oplus(X4,c_HOL_Oinverse__class_Odivide(X5,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__le__add__half__cancel_1) ).
fof(f3052,plain,
( spl0_239
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f3012,f3030,f3050]) ).
fof(f3050,plain,
( spl0_239
<=> ! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
fof(f3030,plain,
( spl0_234
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f3012,plain,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(superposition,[],[f54,f1252]) ).
fof(f1252,plain,
! [X8,X5] : c_HOL_Oinverse__class_Odivide(X5,X8,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),X8,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(definition_unfolding,[],[f931,f773,f773]) ).
fof(f931,axiom,
! [X8,X5] : c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X8,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(X5,X8,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__divide__2__times__iff_0) ).
fof(f54,axiom,
! [X4,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__mult__order_0) ).
fof(f3048,plain,
( ~ spl0_234
| spl0_238 ),
inference(avatar_split_clause,[],[f3017,f3046,f3030]) ).
fof(f3046,plain,
( spl0_238
<=> ! [X20,X18,X19] :
( ~ c_lessequals(X20,c_HOL_Oinverse__class_Odivide(X18,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),X19,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),X20,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X18,X19,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f3017,plain,
! [X18,X19,X20] :
( ~ c_lessequals(X20,c_HOL_Oinverse__class_Odivide(X18,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),X19,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),X20,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X18,X19,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(superposition,[],[f227,f1252]) ).
fof(f227,axiom,
! [X8,X4,X5] :
( c_lessequals(c_HOL_Otimes__class_Otimes(X8,X4,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X8,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
| ~ c_lessequals(X4,X5,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__mult__le__cancel__iff2_1) ).
fof(f3044,plain,
( spl0_237
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f3025,f3030,f3042]) ).
fof(f3042,plain,
( spl0_237
<=> ! [X43,X44,X42] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),X44,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X42,X43,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X44,c_HOL_Oinverse__class_Odivide(X42,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),X43,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f3025,plain,
! [X44,X42,X43] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),X44,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X42,X43,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X44,c_HOL_Oinverse__class_Odivide(X42,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),X43,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(superposition,[],[f377,f1252]) ).
fof(f377,axiom,
! [X8,X4,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X4,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X8,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X4,X5,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__mult__less__mono2_0) ).
fof(f3040,plain,
( spl0_236
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f3016,f3030,f3038]) ).
fof(f3038,plain,
( spl0_236
<=> ! [X16,X17,X15] :
( c_lessequals(c_HOL_Oinverse__class_Odivide(X15,X16,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),X17,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X15,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),X16,tc_RealDef_Oreal),tc_RealDef_Oreal),X17,tc_RealDef_Oreal) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f3016,plain,
! [X16,X17,X15] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X15,X16,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),X17,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X15,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),X16,tc_RealDef_Oreal),tc_RealDef_Oreal),X17,tc_RealDef_Oreal) ),
inference(superposition,[],[f227,f1252]) ).
fof(f3036,plain,
( ~ spl0_234
| spl0_235 ),
inference(avatar_split_clause,[],[f3024,f3034,f3030]) ).
fof(f3034,plain,
( spl0_235
<=> ! [X41,X40,X39] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X39,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),X40,tc_RealDef_Oreal),tc_RealDef_Oreal),X41,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X39,X40,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),X41,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f3024,plain,
! [X40,X41,X39] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X39,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),X40,tc_RealDef_Oreal),tc_RealDef_Oreal),X41,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X39,X40,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),X41,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(superposition,[],[f377,f1252]) ).
fof(f3007,plain,
( spl0_233
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f3002,f2429,f3004]) ).
fof(f3004,plain,
( spl0_233
<=> c_lessequals(c_HOL_Oinverse__class_Odivide(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_N2____,tc_nat),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f2429,plain,
( spl0_214
<=> c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_N2____,tc_nat),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f3002,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_N2____,tc_nat),tc_RealDef_Oreal)
| ~ spl0_214 ),
inference(resolution,[],[f2431,f814]) ).
fof(f814,axiom,
! [X4,X5] :
( ~ c_HOL_Oord__class_Oless(X4,X5,tc_RealDef_Oreal)
| c_lessequals(X4,X5,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__less__def_0) ).
fof(f2431,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_N2____,tc_nat),tc_RealDef_Oreal)
| ~ spl0_214 ),
inference(avatar_component_clause,[],[f2429]) ).
fof(f3001,plain,
( spl0_232
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f2996,f2417,f2998]) ).
fof(f2998,plain,
( spl0_232
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
fof(f2417,plain,
( spl0_212
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f2996,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_212 ),
inference(resolution,[],[f2419,f814]) ).
fof(f2419,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_212 ),
inference(avatar_component_clause,[],[f2417]) ).
fof(f2978,plain,
( spl0_231
| ~ spl0_6
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f2974,f2202,f1335,f2976]) ).
fof(f2976,plain,
( spl0_231
<=> ! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
fof(f1335,plain,
( spl0_6
<=> class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f2202,plain,
( spl0_174
<=> class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f2974,plain,
( ! [X0,X1] :
( ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X0,tc_RealDef_Oreal) )
| ~ spl0_174 ),
inference(resolution,[],[f896,f2204]) ).
fof(f2204,plain,
( class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)
| ~ spl0_174 ),
inference(avatar_component_clause,[],[f2202]) ).
fof(f896,axiom,
! [X0,X4,X5] :
( ~ class_Ring__and__Field_Oordered__field(X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X5,X0)
| c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X4,X0),X5,X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X4,X5,X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_abs__div__pos_0) ).
fof(f2951,plain,
( ~ spl0_6
| spl0_230
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f2947,f2202,f2949,f1335]) ).
fof(f2949,plain,
( spl0_230
<=> ! [X0,X1] : c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).
fof(f2947,plain,
( ! [X0,X1] :
( c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) )
| ~ spl0_174 ),
inference(resolution,[],[f1046,f2204]) ).
fof(f1046,axiom,
! [X2,X3,X0] :
( ~ class_Ring__and__Field_Oordered__field(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X3,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_abs__divide_0) ).
fof(f2862,plain,
( spl0_228
| spl0_229 ),
inference(avatar_split_clause,[],[f2855,f2860,f2857]) ).
fof(f2857,plain,
( spl0_228
<=> ! [X6,X5] :
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X5,X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X5,X6,tc_RealDef_Oreal) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).
fof(f2860,plain,
( spl0_229
<=> ! [X7] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).
fof(f2855,plain,
! [X6,X7,X5] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X5,X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X5,X6,tc_RealDef_Oreal) ),
inference(forward_subsumption_demodulation,[],[f2854,f2526]) ).
fof(f2526,plain,
! [X2,X3] :
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(X2,X3,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X3,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(resolution,[],[f331,f33]) ).
fof(f33,axiom,
! [X8,X7] :
( ~ c_lessequals(X8,X7,tc_RealDef_Oreal)
| X7 = X8
| ~ c_lessequals(X7,X8,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__le__antisym_0) ).
fof(f331,axiom,
! [X4,X5] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X4,X5,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X4,X5,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__le__eq__diff_0) ).
fof(f2854,plain,
! [X6,X7,X5] :
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X5,X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X5,X6,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X5,X6,tc_RealDef_Oreal),X7,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(resolution,[],[f337,f331]) ).
fof(f337,axiom,
! [X4,X5] :
( ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X4,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__0__le__divide__iff_2) ).
fof(f2830,plain,
( spl0_227
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f2815,f2024,f2825]) ).
fof(f2825,plain,
( spl0_227
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).
fof(f2815,plain,
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_140 ),
inference(superposition,[],[f2026,f102]) ).
fof(f102,axiom,
! [X16,X7,X17] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X16,X17,tc_RealDef_Oreal),X7,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X16,X7,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X17,X7,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__add__mult__distrib_0) ).
fof(f2828,plain,
( spl0_227
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f2811,f2024,f2825]) ).
fof(f2811,plain,
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_140 ),
inference(superposition,[],[f102,f2026]) ).
fof(f2798,plain,
( spl0_226
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f2793,f2402,f2795]) ).
fof(f2795,plain,
( spl0_226
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f2402,plain,
( spl0_210
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f2793,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_210 ),
inference(resolution,[],[f2404,f814]) ).
fof(f2404,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_210 ),
inference(avatar_component_clause,[],[f2402]) ).
fof(f2792,plain,
( ~ spl0_225
| ~ spl0_222
| spl0_223 ),
inference(avatar_split_clause,[],[f2787,f2779,f2774,f2789]) ).
fof(f2789,plain,
( spl0_225
<=> c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f2774,plain,
( spl0_222
<=> c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f2779,plain,
( spl0_223
<=> c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
fof(f2787,plain,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_222
| spl0_223 ),
inference(forward_demodulation,[],[f2780,f2776]) ).
fof(f2776,plain,
( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_222 ),
inference(avatar_component_clause,[],[f2774]) ).
fof(f2780,plain,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_223 ),
inference(avatar_component_clause,[],[f2779]) ).
fof(f2786,plain,
( spl0_223
| ~ spl0_224
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f2764,f2024,f2783,f2779]) ).
fof(f2783,plain,
( spl0_224
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
fof(f2764,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_140 ),
inference(superposition,[],[f20,f2026]) ).
fof(f20,axiom,
! [X4,X5] :
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X4,X5,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(X5,c_HOL_Ouminus__class_Ouminus(X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__add__le__0__iff_0) ).
fof(f2777,plain,
( spl0_222
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f2772,f2024,f2774]) ).
fof(f2772,plain,
( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f2767]) ).
fof(f2767,plain,
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_140 ),
inference(superposition,[],[f302,f2026]) ).
fof(f302,axiom,
! [X4,X5] :
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oplus__class_Oplus(X4,X5,tc_RealDef_Oreal)
| c_HOL_Ouminus__class_Ouminus(X4,tc_RealDef_Oreal) = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__add__eq__0__iff_0) ).
fof(f2635,plain,
( spl0_221
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f2630,f1425,f2632]) ).
fof(f2632,plain,
( spl0_221
<=> c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
fof(f2630,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal)
| ~ spl0_24 ),
inference(resolution,[],[f1427,f814]) ).
fof(f2491,plain,
( spl0_219
| ~ spl0_220
| spl0_119 ),
inference(avatar_split_clause,[],[f2473,f1908,f2488,f2484]) ).
fof(f2484,plain,
( spl0_219
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f2488,plain,
( spl0_220
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f1908,plain,
( spl0_119
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f2473,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_119 ),
inference(resolution,[],[f816,f1910]) ).
fof(f1910,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_119 ),
inference(avatar_component_clause,[],[f1908]) ).
fof(f816,axiom,
! [X4,X5] :
( c_HOL_Oord__class_Oless(X4,X5,tc_RealDef_Oreal)
| ~ c_lessequals(X4,X5,tc_RealDef_Oreal)
| X4 = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__less__def_2) ).
fof(f2482,plain,
( spl0_217
| ~ spl0_218
| spl0_213 ),
inference(avatar_split_clause,[],[f2470,f2423,f2479,f2475]) ).
fof(f2475,plain,
( spl0_217
<=> c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f2479,plain,
( spl0_218
<=> c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f2470,plain,
( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_213 ),
inference(resolution,[],[f816,f2425]) ).
fof(f2425,plain,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_213 ),
inference(avatar_component_clause,[],[f2423]) ).
fof(f2454,plain,
spl0_216,
inference(avatar_split_clause,[],[f2448,f2451]) ).
fof(f2451,plain,
( spl0_216
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f2448,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(resolution,[],[f749,f966]) ).
fof(f966,axiom,
! [X4] : ~ c_HOL_Oord__class_Oless(X4,X4,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__less__def_1) ).
fof(f749,axiom,
! [X14] :
( c_HOL_Oord__class_Oless(X14,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oabs__class_Oabs(X14,tc_RealDef_Oreal) = X14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__abs__def_1) ).
fof(f2440,plain,
spl0_25,
inference(avatar_contradiction_clause,[],[f2439]) ).
fof(f2439,plain,
( $false
| spl0_25 ),
inference(resolution,[],[f1431,f825]) ).
fof(f825,axiom,
! [X4,X24] : c_lessequals(X24,c_HOL_Oplus__class_Oplus(X24,X4,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__Suc__ex__iff_1) ).
fof(f1431,plain,
( ~ c_lessequals(v_N1____,c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat),tc_nat)
| spl0_25 ),
inference(avatar_component_clause,[],[f1429]) ).
fof(f1429,plain,
( spl0_25
<=> c_lessequals(v_N1____,c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f2438,plain,
( spl0_215
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f2433,f2003,f2435]) ).
fof(f2435,plain,
( spl0_215
<=> c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f2003,plain,
( spl0_136
<=> c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f2433,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ spl0_136 ),
inference(forward_demodulation,[],[f2005,f205]) ).
fof(f205,axiom,
! [X8,X7] : c_HOL_Otimes__class_Otimes(X8,X7,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X7,X8,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__mult__commute_0) ).
fof(f2005,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f2003]) ).
fof(f2432,plain,
( spl0_214
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f2427,f1871,f2429]) ).
fof(f1871,plain,
( spl0_112
<=> c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_N2____,tc_nat),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f2427,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_N2____,tc_nat),tc_RealDef_Oreal)
| ~ spl0_112 ),
inference(forward_demodulation,[],[f1873,f2346]) ).
fof(f1873,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_N2____,tc_nat),tc_RealDef_Oreal)
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f1871]) ).
fof(f2426,plain,
( ~ spl0_213
| spl0_103 ),
inference(avatar_split_clause,[],[f2421,f1825,f2423]) ).
fof(f1825,plain,
( spl0_103
<=> c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f2421,plain,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_103 ),
inference(forward_demodulation,[],[f1827,f2346]) ).
fof(f1827,plain,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_103 ),
inference(avatar_component_clause,[],[f1825]) ).
fof(f2420,plain,
( spl0_212
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f2415,f1963,f2417]) ).
fof(f1963,plain,
( spl0_129
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f2415,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_129 ),
inference(forward_demodulation,[],[f1965,f2346]) ).
fof(f1965,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f1963]) ).
fof(f2414,plain,
( spl0_211
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f2409,f1385,f2411]) ).
fof(f2411,plain,
( spl0_211
<=> c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f1385,plain,
( spl0_16
<=> c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f2409,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2408,f651]) ).
fof(f651,axiom,
! [X24] : c_HOL_Oplus__class_Oplus(c_Int_OPls,X24,tc_Int_Oint) = X24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__Pls_0) ).
fof(f2408,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_HOL_Oplus__class_Oplus(c_Int_OPls,c_Int_OBit1(c_Int_OPls),tc_Int_Oint)),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2407,f1283]) ).
fof(f1283,plain,
! [X24,X30] : c_Int_OBit1(c_HOL_Oplus__class_Oplus(X24,X30,tc_Int_Oint)) = c_HOL_Oplus__class_Oplus(c_Int_OBit1(X24),c_HOL_Oplus__class_Oplus(X30,X30,tc_Int_Oint),tc_Int_Oint),
inference(definition_unfolding,[],[f727,f773]) ).
fof(f727,axiom,
! [X24,X30] : c_Int_OBit1(c_HOL_Oplus__class_Oplus(X24,X30,tc_Int_Oint)) = c_HOL_Oplus__class_Oplus(c_Int_OBit1(X24),c_Int_OBit0(X30),tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__Bit1__Bit0_0) ).
fof(f2407,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_Int_Oint),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2406,f286]) ).
fof(f286,axiom,
! [X8,X7] : c_HOL_Oplus__class_Oplus(X8,X7,tc_Int_Oint) = c_HOL_Oplus__class_Oplus(X7,X8,tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zadd__commute_0) ).
fof(f2406,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1387,f208]) ).
fof(f208,axiom,
! [X8,X4,X5] : c_HOL_Oplus__class_Oplus(X4,c_HOL_Oplus__class_Oplus(X5,X8,tc_Int_Oint),tc_Int_Oint) = c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X4,X8,tc_Int_Oint),tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zadd__left__commute_0) ).
fof(f1387,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f1385]) ).
fof(f2405,plain,
( spl0_210
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f2400,f1667,f2402]) ).
fof(f1667,plain,
( spl0_72
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f2400,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_72 ),
inference(forward_demodulation,[],[f1669,f2346]) ).
fof(f1669,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f1667]) ).
fof(f2399,plain,
spl0_209,
inference(avatar_split_clause,[],[f1151,f2396]) ).
fof(f2396,plain,
( spl0_209
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f1151,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring) ).
fof(f2394,plain,
spl0_208,
inference(avatar_split_clause,[],[f1131,f2391]) ).
fof(f2391,plain,
( spl0_208
<=> class_Ring__and__Field_Omult__mono1(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f1131,axiom,
class_Ring__and__Field_Omult__mono1(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Omult__mono1) ).
fof(f2389,plain,
spl0_207,
inference(avatar_split_clause,[],[f1219,f2386]) ).
fof(f2386,plain,
( spl0_207
<=> class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f1219,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(f2384,plain,
spl0_206,
inference(avatar_split_clause,[],[f1120,f2381]) ).
fof(f2381,plain,
( spl0_206
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f1120,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1) ).
fof(f2379,plain,
spl0_205,
inference(avatar_split_clause,[],[f1306,f2376]) ).
fof(f2376,plain,
( spl0_205
<=> c_lessequals(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f1306,plain,
c_lessequals(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
inference(definition_unfolding,[],[f733,f773]) ).
fof(f733,axiom,
c_lessequals(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pi__ge__two_0) ).
fof(f2374,plain,
spl0_204,
inference(avatar_split_clause,[],[f1175,f2371]) ).
fof(f2371,plain,
( spl0_204
<=> class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f1175,axiom,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector) ).
fof(f2369,plain,
spl0_203,
inference(avatar_split_clause,[],[f1143,f2366]) ).
fof(f2366,plain,
( spl0_203
<=> class_Orderings_Olinorder(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f1143,axiom,
class_Orderings_Olinorder(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Orderings_Olinorder) ).
fof(f2364,plain,
spl0_202,
inference(avatar_split_clause,[],[f1095,f2361]) ).
fof(f2361,plain,
( spl0_202
<=> class_Orderings_Opreorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f1095,axiom,
class_Orderings_Opreorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).
fof(f2358,plain,
spl0_201,
inference(avatar_split_clause,[],[f83,f2355]) ).
fof(f2355,plain,
( spl0_201
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f83,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rp_0) ).
fof(f2353,plain,
spl0_200,
inference(avatar_split_clause,[],[f1144,f2350]) ).
fof(f2350,plain,
( spl0_200
<=> class_Orderings_Oorder(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f1144,axiom,
class_Orderings_Oorder(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Orderings_Oorder) ).
fof(f2341,plain,
spl0_199,
inference(avatar_split_clause,[],[f1129,f2338]) ).
fof(f2338,plain,
( spl0_199
<=> class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f1129,axiom,
class_Ring__and__Field_Oordered__idom(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oordered__idom) ).
fof(f2336,plain,
spl0_198,
inference(avatar_split_clause,[],[f1146,f2333]) ).
fof(f2333,plain,
( spl0_198
<=> class_Int_Onumber__ring(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f1146,axiom,
class_Int_Onumber__ring(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Int_Onumber__ring) ).
fof(f2331,plain,
spl0_197,
inference(avatar_split_clause,[],[f118,f2328]) ).
fof(f2328,plain,
( spl0_197
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f118,axiom,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__sqrt__zero_0) ).
fof(f2325,plain,
spl0_196,
inference(avatar_split_clause,[],[f1103,f2322]) ).
fof(f2322,plain,
( spl0_196
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f1103,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oordered__semiring__strict) ).
fof(f2318,plain,
spl0_195,
inference(avatar_split_clause,[],[f1114,f2315]) ).
fof(f2315,plain,
( spl0_195
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f1114,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add) ).
fof(f2312,plain,
spl0_194,
inference(avatar_split_clause,[],[f1124,f2309]) ).
fof(f2309,plain,
( spl0_194
<=> class_Ring__and__Field_Opordered__ring(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f1124,axiom,
class_Ring__and__Field_Opordered__ring(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Opordered__ring) ).
fof(f2302,plain,
spl0_193,
inference(avatar_split_clause,[],[f1155,f2299]) ).
fof(f2299,plain,
( spl0_193
<=> class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f1155,axiom,
class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs) ).
fof(f2297,plain,
spl0_192,
inference(avatar_split_clause,[],[f1209,f2294]) ).
fof(f2294,plain,
( spl0_192
<=> class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f1209,axiom,
class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors) ).
fof(f2292,plain,
spl0_191,
inference(avatar_split_clause,[],[f1178,f2289]) ).
fof(f2289,plain,
( spl0_191
<=> class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f1178,axiom,
class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring) ).
fof(f2287,plain,
spl0_190,
inference(avatar_split_clause,[],[f1142,f2284]) ).
fof(f2284,plain,
( spl0_190
<=> class_Orderings_Opreorder(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f1142,axiom,
class_Orderings_Opreorder(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Orderings_Opreorder) ).
fof(f2282,plain,
spl0_189,
inference(avatar_split_clause,[],[f1082,f2279]) ).
fof(f2279,plain,
( spl0_189
<=> class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f1082,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Oab__semigroup__mult) ).
fof(f2277,plain,
spl0_188,
inference(avatar_split_clause,[],[f1204,f2274]) ).
fof(f2274,plain,
( spl0_188
<=> class_Orderings_Olinorder(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f1204,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Olinorder) ).
fof(f2272,plain,
~ spl0_187,
inference(avatar_split_clause,[],[f1279,f2269]) ).
fof(f2269,plain,
( spl0_187
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f1279,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(definition_unfolding,[],[f763,f773]) ).
fof(f763,axiom,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pi__half__neq__zero_0) ).
fof(f2267,plain,
spl0_186,
inference(avatar_split_clause,[],[f1296,f2264]) ).
fof(f2264,plain,
( spl0_186
<=> c_lessequals(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f1296,plain,
c_lessequals(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(definition_unfolding,[],[f762,f773,f773]) ).
fof(f762,axiom,
c_lessequals(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pi__half__le__two_0) ).
fof(f2262,plain,
spl0_185,
inference(avatar_split_clause,[],[f1184,f2259]) ).
fof(f2259,plain,
( spl0_185
<=> class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f1184,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add) ).
fof(f2257,plain,
spl0_184,
inference(avatar_split_clause,[],[f1300,f2254]) ).
fof(f2254,plain,
( spl0_184
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f1300,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(definition_unfolding,[],[f541,f773]) ).
fof(f541,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pi__half__ge__zero_0) ).
fof(f2250,plain,
spl0_183,
inference(avatar_split_clause,[],[f1208,f2247]) ).
fof(f2247,plain,
( spl0_183
<=> class_Int_Onumber(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f1208,axiom,
class_Int_Onumber(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Int_Onumber) ).
fof(f2245,plain,
spl0_182,
inference(avatar_split_clause,[],[f1206,f2242]) ).
fof(f2242,plain,
( spl0_182
<=> class_Int_Oring__char__0(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f1206,axiom,
class_Int_Oring__char__0(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Int_Oring__char__0) ).
fof(f2240,plain,
spl0_181,
inference(avatar_split_clause,[],[f1153,f2237]) ).
fof(f2237,plain,
( spl0_181
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f1153,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add) ).
fof(f2235,plain,
spl0_180,
inference(avatar_split_clause,[],[f1165,f2232]) ).
fof(f2232,plain,
( spl0_180
<=> class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f1165,axiom,
class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring) ).
fof(f2230,plain,
spl0_179,
inference(avatar_split_clause,[],[f1092,f2227]) ).
fof(f2227,plain,
( spl0_179
<=> class_OrderedGroup_Omonoid__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f1092,axiom,
class_OrderedGroup_Omonoid__mult(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Omonoid__mult) ).
fof(f2225,plain,
spl0_178,
inference(avatar_split_clause,[],[f28,f2222]) ).
fof(f2222,plain,
( spl0_178
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Oarctan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f28,axiom,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Oarctan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_arctan__zero__zero_0) ).
fof(f2220,plain,
spl0_177,
inference(avatar_split_clause,[],[f281,f2217]) ).
fof(f2217,plain,
( spl0_177
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Otan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f281,axiom,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Otan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_tan__zero_0) ).
fof(f2215,plain,
spl0_176,
inference(avatar_split_clause,[],[f1215,f2212]) ).
fof(f2212,plain,
( spl0_176
<=> class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f1215,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero) ).
fof(f2210,plain,
spl0_175,
inference(avatar_split_clause,[],[f1183,f2207]) ).
fof(f2207,plain,
( spl0_175
<=> class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f1183,axiom,
class_RealVector_Oreal__normed__field(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__normed__field) ).
fof(f2205,plain,
spl0_174,
inference(avatar_split_clause,[],[f1179,f2202]) ).
fof(f1179,axiom,
class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field) ).
fof(f2200,plain,
spl0_173,
inference(avatar_split_clause,[],[f1213,f2197]) ).
fof(f2197,plain,
( spl0_173
<=> class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f1213,axiom,
class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1) ).
fof(f2195,plain,
spl0_172,
inference(avatar_split_clause,[],[f1073,f2192]) ).
fof(f2192,plain,
( spl0_172
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f1073,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add) ).
fof(f2187,plain,
spl0_171,
inference(avatar_split_clause,[],[f1238,f2184]) ).
fof(f2184,plain,
( spl0_171
<=> class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f1238,axiom,
class_Ring__and__Field_Oring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oring) ).
fof(f2182,plain,
spl0_170,
inference(avatar_split_clause,[],[f1225,f2179]) ).
fof(f2179,plain,
( spl0_170
<=> class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f1225,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add) ).
fof(f2177,plain,
spl0_169,
inference(avatar_split_clause,[],[f1226,f2174]) ).
fof(f2174,plain,
( spl0_169
<=> class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f1226,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one) ).
fof(f2172,plain,
spl0_168,
inference(avatar_split_clause,[],[f1125,f2169]) ).
fof(f2169,plain,
( spl0_168
<=> class_Ring__and__Field_Olordered__ring(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f1125,axiom,
class_Ring__and__Field_Olordered__ring(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Olordered__ring) ).
fof(f2167,plain,
spl0_167,
inference(avatar_split_clause,[],[f1232,f2164]) ).
fof(f2164,plain,
( spl0_167
<=> class_RealVector_Oreal__algebra(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f1232,axiom,
class_RealVector_Oreal__algebra(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__algebra) ).
fof(f2162,plain,
spl0_166,
inference(avatar_split_clause,[],[f1198,f2159]) ).
fof(f2159,plain,
( spl0_166
<=> class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f1198,axiom,
class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if) ).
fof(f2157,plain,
spl0_34,
inference(avatar_split_clause,[],[f645,f1474]) ).
fof(f1474,plain,
( spl0_34
<=> c_Int_OMin = c_Int_OBit1(c_Int_OMin) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f645,axiom,
c_Int_OMin = c_Int_OBit1(c_Int_OMin),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Bit1__Min_0) ).
fof(f2156,plain,
spl0_165,
inference(avatar_split_clause,[],[f1091,f2153]) ).
fof(f2153,plain,
( spl0_165
<=> class_Ring__and__Field_Omult__mono(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f1091,axiom,
class_Ring__and__Field_Omult__mono(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Omult__mono) ).
fof(f2151,plain,
spl0_164,
inference(avatar_split_clause,[],[f1072,f2148]) ).
fof(f2148,plain,
( spl0_164
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f1072,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Oordered__semiring__strict) ).
fof(f2146,plain,
spl0_163,
inference(avatar_split_clause,[],[f1069,f2143]) ).
fof(f2143,plain,
( spl0_163
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f1069,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le) ).
fof(f2140,plain,
spl0_162,
inference(avatar_split_clause,[],[f1149,f2137]) ).
fof(f2137,plain,
( spl0_162
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f1149,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le) ).
fof(f2135,plain,
spl0_161,
inference(avatar_split_clause,[],[f1197,f2132]) ).
fof(f2132,plain,
( spl0_161
<=> class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f1197,axiom,
class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add) ).
fof(f2130,plain,
spl0_160,
inference(avatar_split_clause,[],[f1068,f2127]) ).
fof(f2127,plain,
( spl0_160
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f1068,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add) ).
fof(f2125,plain,
spl0_159,
inference(avatar_split_clause,[],[f1118,f2122]) ).
fof(f2122,plain,
( spl0_159
<=> class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f1118,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors) ).
fof(f2120,plain,
spl0_158,
inference(avatar_split_clause,[],[f1076,f2117]) ).
fof(f2117,plain,
( spl0_158
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f1076,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocancel__semigroup__add) ).
fof(f2114,plain,
spl0_157,
inference(avatar_split_clause,[],[f1212,f2111]) ).
fof(f2111,plain,
( spl0_157
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f1212,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add) ).
fof(f2109,plain,
spl0_156,
inference(avatar_split_clause,[],[f1237,f2106]) ).
fof(f2106,plain,
( spl0_156
<=> class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f1237,axiom,
class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ofield) ).
fof(f2104,plain,
spl0_155,
inference(avatar_split_clause,[],[f1130,f2101]) ).
fof(f2101,plain,
( spl0_155
<=> class_Ring__and__Field_Osemiring__1(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f1130,axiom,
class_Ring__and__Field_Osemiring__1(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Osemiring__1) ).
fof(f2099,plain,
spl0_154,
inference(avatar_split_clause,[],[f1080,f2096]) ).
fof(f2096,plain,
( spl0_154
<=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f1080,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Oordered__semidom) ).
fof(f2094,plain,
spl0_153,
inference(avatar_split_clause,[],[f1242,f2091]) ).
fof(f2091,plain,
( spl0_153
<=> class_Int_Onumber(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f1242,axiom,
class_Int_Onumber(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Int_Onumber) ).
fof(f2089,plain,
spl0_152,
inference(avatar_split_clause,[],[f1160,f2086]) ).
fof(f2086,plain,
( spl0_152
<=> class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f1160,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra) ).
fof(f2084,plain,
spl0_151,
inference(avatar_split_clause,[],[f1176,f2081]) ).
fof(f2081,plain,
( spl0_151
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f1176,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult) ).
fof(f2078,plain,
spl0_150,
inference(avatar_split_clause,[],[f1093,f2075]) ).
fof(f2075,plain,
( spl0_150
<=> class_Ring__and__Field_Osemiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f1093,axiom,
class_Ring__and__Field_Osemiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Osemiring) ).
fof(f2073,plain,
spl0_149,
inference(avatar_split_clause,[],[f1127,f2070]) ).
fof(f2070,plain,
( spl0_149
<=> class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f1127,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add) ).
fof(f2068,plain,
spl0_148,
inference(avatar_split_clause,[],[f1113,f2065]) ).
fof(f2065,plain,
( spl0_148
<=> class_OrderedGroup_Oordered__ab__group__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f1113,axiom,
class_OrderedGroup_Oordered__ab__group__add(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Oordered__ab__group__add) ).
fof(f2063,plain,
spl0_147,
inference(avatar_split_clause,[],[f1214,f2060]) ).
fof(f2060,plain,
( spl0_147
<=> class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f1214,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors) ).
fof(f2058,plain,
spl0_146,
inference(avatar_split_clause,[],[f352,f2055]) ).
fof(f2055,plain,
( spl0_146
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Otan(c_Transcendental_Opi) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f352,axiom,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Otan(c_Transcendental_Opi),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_tan__pi_0) ).
fof(f2053,plain,
spl0_145,
inference(avatar_split_clause,[],[f1173,f2050]) ).
fof(f2050,plain,
( spl0_145
<=> class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f1173,axiom,
class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra) ).
fof(f2048,plain,
spl0_144,
inference(avatar_split_clause,[],[f1141,f2045]) ).
fof(f2045,plain,
( spl0_144
<=> class_Ring__and__Field_Oidom(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f1141,axiom,
class_Ring__and__Field_Oidom(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oidom) ).
fof(f2043,plain,
spl0_143,
inference(avatar_split_clause,[],[f1236,f2040]) ).
fof(f2040,plain,
( spl0_143
<=> class_RealVector_Oreal__field(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f1236,axiom,
class_RealVector_Oreal__field(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__field) ).
fof(f2038,plain,
spl0_142,
inference(avatar_split_clause,[],[f1128,f2035]) ).
fof(f2035,plain,
( spl0_142
<=> class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f1128,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one) ).
fof(f2033,plain,
spl0_141,
inference(avatar_split_clause,[],[f1187,f2030]) ).
fof(f2030,plain,
( spl0_141
<=> class_Ring__and__Field_Osemiring__1(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f1187,axiom,
class_Ring__and__Field_Osemiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Osemiring__1) ).
fof(f2028,plain,
~ spl0_48,
inference(avatar_split_clause,[],[f649,f1545]) ).
fof(f1545,plain,
( spl0_48
<=> c_Int_OMin = c_Int_OPls ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f649,axiom,
c_Int_OMin != c_Int_OPls,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rel__simps_I37_J_0) ).
fof(f2027,plain,
spl0_140,
inference(avatar_split_clause,[],[f481,f2024]) ).
fof(f481,axiom,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__two__squares__add__zero__iff_2) ).
fof(f2022,plain,
spl0_139,
inference(avatar_split_clause,[],[f1110,f2019]) ).
fof(f2019,plain,
( spl0_139
<=> class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f1110,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oordered__ring__strict) ).
fof(f2017,plain,
spl0_138,
inference(avatar_split_clause,[],[f1136,f2014]) ).
fof(f2014,plain,
( spl0_138
<=> class_Ring__and__Field_Osemiring(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f1136,axiom,
class_Ring__and__Field_Osemiring(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Osemiring) ).
fof(f2012,plain,
spl0_137,
inference(avatar_split_clause,[],[f1152,f2009]) ).
fof(f2009,plain,
( spl0_137
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f1152,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict) ).
fof(f2006,plain,
spl0_136,
inference(avatar_split_clause,[],[f1248,f2003]) ).
fof(f1248,plain,
c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
inference(definition_unfolding,[],[f905,f773]) ).
fof(f905,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_m2pi__less__pi_0) ).
fof(f2001,plain,
spl0_135,
inference(avatar_split_clause,[],[f1108,f1998]) ).
fof(f1998,plain,
( spl0_135
<=> class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f1108,axiom,
class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oring__no__zero__divisors) ).
fof(f1996,plain,
spl0_134,
inference(avatar_split_clause,[],[f1075,f1993]) ).
fof(f1993,plain,
( spl0_134
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f1075,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add) ).
fof(f1991,plain,
spl0_133,
inference(avatar_split_clause,[],[f1191,f1988]) ).
fof(f1988,plain,
( spl0_133
<=> class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f1191,axiom,
class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono) ).
fof(f1986,plain,
spl0_132,
inference(avatar_split_clause,[],[f1228,f1983]) ).
fof(f1983,plain,
( spl0_132
<=> class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f1228,axiom,
class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add) ).
fof(f1981,plain,
spl0_131,
inference(avatar_split_clause,[],[f1109,f1978]) ).
fof(f1978,plain,
( spl0_131
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f1109,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add) ).
fof(f1974,plain,
spl0_130,
inference(avatar_split_clause,[],[f1140,f1971]) ).
fof(f1971,plain,
( spl0_130
<=> class_Ring__and__Field_Oring(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f1140,axiom,
class_Ring__and__Field_Oring(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oring) ).
fof(f1966,plain,
spl0_129,
inference(avatar_split_clause,[],[f1272,f1963]) ).
fof(f1272,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(definition_unfolding,[],[f943,f773]) ).
fof(f943,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_e2_0) ).
fof(f1961,plain,
~ spl0_128,
inference(avatar_split_clause,[],[f157,f1958]) ).
fof(f1958,plain,
( spl0_128
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Opi ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f157,axiom,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Transcendental_Opi,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pi__neq__zero_0) ).
fof(f1956,plain,
spl0_127,
inference(avatar_split_clause,[],[f1084,f1953]) ).
fof(f1953,plain,
( spl0_127
<=> class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f1084,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Oab__semigroup__add) ).
fof(f1951,plain,
spl0_126,
inference(avatar_split_clause,[],[f1231,f1948]) ).
fof(f1948,plain,
( spl0_126
<=> class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f1231,axiom,
class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring) ).
fof(f1945,plain,
spl0_125,
inference(avatar_split_clause,[],[f1203,f1942]) ).
fof(f1942,plain,
( spl0_125
<=> class_Orderings_Opreorder(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f1203,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Opreorder) ).
fof(f1939,plain,
spl0_124,
inference(avatar_split_clause,[],[f1145,f1936]) ).
fof(f1936,plain,
( spl0_124
<=> class_Int_Oring__char__0(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f1145,axiom,
class_Int_Oring__char__0(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Int_Oring__char__0) ).
fof(f1931,plain,
spl0_123,
inference(avatar_split_clause,[],[f1158,f1928]) ).
fof(f1928,plain,
( spl0_123
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f1158,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add) ).
fof(f1926,plain,
spl0_122,
inference(avatar_split_clause,[],[f1126,f1923]) ).
fof(f1923,plain,
( spl0_122
<=> class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f1126,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring) ).
fof(f1921,plain,
spl0_121,
inference(avatar_split_clause,[],[f1106,f1918]) ).
fof(f1918,plain,
( spl0_121
<=> class_OrderedGroup_Olordered__ab__group__add__abs(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f1106,axiom,
class_OrderedGroup_Olordered__ab__group__add__abs(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add__abs) ).
fof(f1916,plain,
spl0_120,
inference(avatar_split_clause,[],[f1159,f1913]) ).
fof(f1913,plain,
( spl0_120
<=> class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f1159,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict) ).
fof(f1911,plain,
~ spl0_119,
inference(avatar_split_clause,[],[f285,f1908]) ).
fof(f285,axiom,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__real__square__gt__zero_1) ).
fof(f1906,plain,
spl0_118,
inference(avatar_split_clause,[],[f1119,f1903]) ).
fof(f1903,plain,
( spl0_118
<=> class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f1119,axiom,
class_Ring__and__Field_Oordered__semidom(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oordered__semidom) ).
fof(f1900,plain,
spl0_117,
inference(avatar_split_clause,[],[f1211,f1897]) ).
fof(f1897,plain,
( spl0_117
<=> class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f1211,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra) ).
fof(f1895,plain,
spl0_116,
inference(avatar_split_clause,[],[f1096,f1892]) ).
fof(f1892,plain,
( spl0_116
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f1096,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
fof(f1889,plain,
spl0_115,
inference(avatar_split_clause,[],[f1174,f1886]) ).
fof(f1886,plain,
( spl0_115
<=> class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f1174,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult) ).
fof(f1884,plain,
spl0_114,
inference(avatar_split_clause,[],[f1090,f1881]) ).
fof(f1881,plain,
( spl0_114
<=> class_Ring__and__Field_Omult__zero(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f1090,axiom,
class_Ring__and__Field_Omult__zero(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Omult__zero) ).
fof(f1879,plain,
spl0_113,
inference(avatar_split_clause,[],[f489,f1876]) ).
fof(f1876,plain,
( spl0_113
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f489,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pi__gt__zero_0) ).
fof(f1874,plain,
spl0_112,
inference(avatar_split_clause,[],[f1289,f1871]) ).
fof(f1289,plain,
c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_N2____,tc_nat),tc_RealDef_Oreal),
inference(definition_unfolding,[],[f945,f773]) ).
fof(f945,axiom,
c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_N2____,tc_nat),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_N2_0) ).
fof(f1869,plain,
spl0_111,
inference(avatar_split_clause,[],[f1097,f1866]) ).
fof(f1866,plain,
( spl0_111
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f1097,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).
fof(f1864,plain,
spl0_110,
inference(avatar_split_clause,[],[f1081,f1861]) ).
fof(f1861,plain,
( spl0_110
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f1081,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ocomm__semiring__1) ).
fof(f1858,plain,
spl0_109,
inference(avatar_split_clause,[],[f1177,f1855]) ).
fof(f1855,plain,
( spl0_109
<=> class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f1177,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add) ).
fof(f1853,plain,
spl0_108,
inference(avatar_split_clause,[],[f1133,f1850]) ).
fof(f1850,plain,
( spl0_108
<=> class_Ring__and__Field_Omult__zero(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f1133,axiom,
class_Ring__and__Field_Omult__zero(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Omult__zero) ).
fof(f1848,plain,
spl0_107,
inference(avatar_split_clause,[],[f1287,f1845]) ).
fof(f1845,plain,
( spl0_107
<=> c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f1287,plain,
c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(definition_unfolding,[],[f921,f773]) ).
fof(f921,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_minus__pi__half__less__zero_0) ).
fof(f1843,plain,
spl0_106,
inference(avatar_split_clause,[],[f1089,f1840]) ).
fof(f1840,plain,
( spl0_106
<=> class_Ring__and__Field_Omult__mono1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f1089,axiom,
class_Ring__and__Field_Omult__mono1(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Omult__mono1) ).
fof(f1838,plain,
spl0_105,
inference(avatar_split_clause,[],[f1088,f1835]) ).
fof(f1835,plain,
( spl0_105
<=> class_Ring__and__Field_Osemiring__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f1088,axiom,
class_Ring__and__Field_Osemiring__1(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Osemiring__1) ).
fof(f1833,plain,
spl0_104,
inference(avatar_split_clause,[],[f1229,f1830]) ).
fof(f1830,plain,
( spl0_104
<=> class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f1229,axiom,
class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero) ).
fof(f1828,plain,
~ spl0_103,
inference(avatar_split_clause,[],[f1277,f1825]) ).
fof(f1277,plain,
~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(definition_unfolding,[],[f1067,f773]) ).
fof(f1067,axiom,
~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1823,plain,
spl0_102,
inference(avatar_split_clause,[],[f1235,f1820]) ).
fof(f1820,plain,
( spl0_102
<=> class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f1235,axiom,
class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add) ).
fof(f1818,plain,
spl0_101,
inference(avatar_split_clause,[],[f1233,f1815]) ).
fof(f1815,plain,
( spl0_101
<=> class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f1233,axiom,
class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add) ).
fof(f1813,plain,
spl0_100,
inference(avatar_split_clause,[],[f1195,f1810]) ).
fof(f1810,plain,
( spl0_100
<=> class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f1195,axiom,
class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add) ).
fof(f1808,plain,
spl0_99,
inference(avatar_split_clause,[],[f1094,f1805]) ).
fof(f1805,plain,
( spl0_99
<=> class_OrderedGroup_Omonoid__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f1094,axiom,
class_OrderedGroup_Omonoid__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Omonoid__add) ).
fof(f1803,plain,
spl0_98,
inference(avatar_split_clause,[],[f1230,f1800]) ).
fof(f1800,plain,
( spl0_98
<=> class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f1230,axiom,
class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult) ).
fof(f1798,plain,
spl0_97,
inference(avatar_split_clause,[],[f1164,f1795]) ).
fof(f1795,plain,
( spl0_97
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f1164,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add) ).
fof(f1793,plain,
spl0_96,
inference(avatar_split_clause,[],[f1107,f1790]) ).
fof(f1790,plain,
( spl0_96
<=> class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f1107,axiom,
class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add) ).
fof(f1788,plain,
spl0_95,
inference(avatar_split_clause,[],[f1138,f1785]) ).
fof(f1785,plain,
( spl0_95
<=> class_OrderedGroup_Ogroup__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f1138,axiom,
class_OrderedGroup_Ogroup__add(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ogroup__add) ).
fof(f1783,plain,
spl0_94,
inference(avatar_split_clause,[],[f1100,f1780]) ).
fof(f1780,plain,
( spl0_94
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f1100,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le) ).
fof(f1778,plain,
spl0_93,
inference(avatar_split_clause,[],[f1105,f1775]) ).
fof(f1775,plain,
( spl0_93
<=> class_OrderedGroup_Opordered__ab__group__add__abs(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f1105,axiom,
class_OrderedGroup_Opordered__ab__group__add__abs(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add__abs) ).
fof(f1773,plain,
spl0_92,
inference(avatar_split_clause,[],[f1266,f1770]) ).
fof(f1770,plain,
( spl0_92
<=> c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f1266,plain,
c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(definition_unfolding,[],[f937,f773,f773]) ).
fof(f937,axiom,
c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pi__half__less__two_0) ).
fof(f1768,plain,
spl0_91,
inference(avatar_split_clause,[],[f1217,f1765]) ).
fof(f1765,plain,
( spl0_91
<=> class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f1217,axiom,
class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra) ).
fof(f1763,plain,
spl0_90,
inference(avatar_split_clause,[],[f1123,f1760]) ).
fof(f1760,plain,
( spl0_90
<=> class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f1123,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add) ).
fof(f1758,plain,
spl0_89,
inference(avatar_split_clause,[],[f1227,f1755]) ).
fof(f1755,plain,
( spl0_89
<=> class_Ring__and__Field_Osemiring__1(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f1227,axiom,
class_Ring__and__Field_Osemiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring__1) ).
fof(f1753,plain,
spl0_88,
inference(avatar_split_clause,[],[f1085,f1750]) ).
fof(f1750,plain,
( spl0_88
<=> class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f1085,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ocomm__semiring) ).
fof(f1748,plain,
spl0_87,
inference(avatar_split_clause,[],[f1221,f1745]) ).
fof(f1745,plain,
( spl0_87
<=> class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f1221,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add) ).
fof(f1743,plain,
spl0_86,
inference(avatar_split_clause,[],[f1101,f1740]) ).
fof(f1740,plain,
( spl0_86
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f1101,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oordered__comm__semiring__strict) ).
fof(f1738,plain,
spl0_85,
inference(avatar_split_clause,[],[f1074,f1735]) ).
fof(f1735,plain,
( spl0_85
<=> class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f1074,axiom,
class_OrderedGroup_Opordered__comm__monoid__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__comm__monoid__add) ).
fof(f1733,plain,
spl0_84,
inference(avatar_split_clause,[],[f1111,f1730]) ).
fof(f1730,plain,
( spl0_84
<=> class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f1111,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add) ).
fof(f1728,plain,
spl0_83,
inference(avatar_split_clause,[],[f1139,f1725]) ).
fof(f1725,plain,
( spl0_83
<=> class_Ring__and__Field_Oabs__if(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f1139,axiom,
class_Ring__and__Field_Oabs__if(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oabs__if) ).
fof(f1722,plain,
spl0_82,
inference(avatar_split_clause,[],[f1241,f1719]) ).
fof(f1719,plain,
( spl0_82
<=> class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f1241,axiom,
class_Int_Onumber__ring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Int_Onumber__ring) ).
fof(f1717,plain,
spl0_61,
inference(avatar_split_clause,[],[f1299,f1612]) ).
fof(f1612,plain,
( spl0_61
<=> c_Int_OPls = c_HOL_Oplus__class_Oplus(c_Int_OPls,c_Int_OPls,tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f1299,plain,
c_Int_OPls = c_HOL_Oplus__class_Oplus(c_Int_OPls,c_Int_OPls,tc_Int_Oint),
inference(definition_unfolding,[],[f949,f773]) ).
fof(f949,axiom,
c_Int_OPls = c_Int_OBit0(c_Int_OPls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Bit0__Pls_0) ).
fof(f1716,plain,
spl0_81,
inference(avatar_split_clause,[],[f1166,f1713]) ).
fof(f1713,plain,
( spl0_81
<=> class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f1166,axiom,
class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs) ).
fof(f1711,plain,
spl0_80,
inference(avatar_split_clause,[],[f1220,f1708]) ).
fof(f1708,plain,
( spl0_80
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f1220,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult) ).
fof(f1706,plain,
spl0_79,
inference(avatar_split_clause,[],[f1121,f1703]) ).
fof(f1703,plain,
( spl0_79
<=> class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f1121,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Oab__semigroup__mult) ).
fof(f1701,plain,
spl0_78,
inference(avatar_split_clause,[],[f1132,f1698]) ).
fof(f1698,plain,
( spl0_78
<=> class_OrderedGroup_Oab__group__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f1132,axiom,
class_OrderedGroup_Oab__group__add(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Oab__group__add) ).
fof(f1696,plain,
spl0_77,
inference(avatar_split_clause,[],[f1161,f1693]) ).
fof(f1693,plain,
( spl0_77
<=> class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f1161,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add) ).
fof(f1690,plain,
spl0_76,
inference(avatar_split_clause,[],[f1098,f1687]) ).
fof(f1687,plain,
( spl0_76
<=> class_Int_Onumber(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f1098,axiom,
class_Int_Onumber(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Int_Onumber) ).
fof(f1685,plain,
spl0_75,
inference(avatar_split_clause,[],[f1115,f1682]) ).
fof(f1682,plain,
( spl0_75
<=> class_Ring__and__Field_Opordered__semiring(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f1115,axiom,
class_Ring__and__Field_Opordered__semiring(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Opordered__semiring) ).
fof(f1680,plain,
spl0_74,
inference(avatar_split_clause,[],[f1154,f1677]) ).
fof(f1677,plain,
( spl0_74
<=> class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f1154,axiom,
class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs) ).
fof(f1675,plain,
spl0_73,
inference(avatar_split_clause,[],[f1172,f1672]) ).
fof(f1672,plain,
( spl0_73
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f1172,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1) ).
fof(f1670,plain,
spl0_72,
inference(avatar_split_clause,[],[f942,f1667]) ).
fof(f942,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_e_0) ).
fof(f1665,plain,
spl0_71,
inference(avatar_split_clause,[],[f1223,f1662]) ).
fof(f1662,plain,
( spl0_71
<=> class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f1223,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring) ).
fof(f1660,plain,
~ spl0_70,
inference(avatar_split_clause,[],[f210,f1657]) ).
fof(f1657,plain,
( spl0_70
<=> c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f210,axiom,
~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pi__not__less__zero_0) ).
fof(f1655,plain,
spl0_69,
inference(avatar_split_clause,[],[f1086,f1652]) ).
fof(f1652,plain,
( spl0_69
<=> class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f1086,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocomm__monoid__add) ).
fof(f1650,plain,
spl0_68,
inference(avatar_split_clause,[],[f1116,f1647]) ).
fof(f1647,plain,
( spl0_68
<=> class_Ring__and__Field_Opordered__ring__abs(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f1116,axiom,
class_Ring__and__Field_Opordered__ring__abs(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Opordered__ring__abs) ).
fof(f1645,plain,
spl0_67,
inference(avatar_split_clause,[],[f1182,f1642]) ).
fof(f1642,plain,
( spl0_67
<=> class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f1182,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring) ).
fof(f1640,plain,
spl0_66,
inference(avatar_split_clause,[],[f242,f1637]) ).
fof(f1637,plain,
( spl0_66
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d____,tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f242,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d____,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_d_I1_J_0) ).
fof(f1635,plain,
spl0_65,
inference(avatar_split_clause,[],[f1307,f1632]) ).
fof(f1632,plain,
( spl0_65
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal)),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f1307,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal)),tc_RealDef_Oreal),
inference(definition_unfolding,[],[f759,f773]) ).
fof(f759,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__sqrt__two__gt__zero_0) ).
fof(f1630,plain,
spl0_64,
inference(avatar_split_clause,[],[f1150,f1627]) ).
fof(f1627,plain,
( spl0_64
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f1150,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict) ).
fof(f1625,plain,
spl0_63,
inference(avatar_split_clause,[],[f1070,f1622]) ).
fof(f1622,plain,
( spl0_63
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f1070,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict) ).
fof(f1620,plain,
spl0_62,
inference(avatar_split_clause,[],[f1079,f1617]) ).
fof(f1617,plain,
( spl0_62
<=> class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f1079,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ono__zero__divisors) ).
fof(f1615,plain,
spl0_61,
inference(avatar_split_clause,[],[f1245,f1612]) ).
fof(f1245,plain,
c_Int_OPls = c_HOL_Oplus__class_Oplus(c_Int_OPls,c_Int_OPls,tc_Int_Oint),
inference(definition_unfolding,[],[f999,f773]) ).
fof(f999,axiom,
c_Int_OPls = c_Int_OBit0(c_Int_OPls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rel__simps_I38_J_1) ).
fof(f1610,plain,
spl0_60,
inference(avatar_split_clause,[],[f1216,f1607]) ).
fof(f1607,plain,
( spl0_60
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f1216,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).
fof(f1605,plain,
spl0_59,
inference(avatar_split_clause,[],[f1122,f1602]) ).
fof(f1602,plain,
( spl0_59
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f1122,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__mult) ).
fof(f1599,plain,
spl0_58,
inference(avatar_split_clause,[],[f1202,f1596]) ).
fof(f1596,plain,
( spl0_58
<=> class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f1202,axiom,
class_Ring__and__Field_Oidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oidom) ).
fof(f1594,plain,
spl0_57,
inference(avatar_split_clause,[],[f1148,f1591]) ).
fof(f1591,plain,
( spl0_57
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f1148,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add) ).
fof(f1588,plain,
spl0_56,
inference(avatar_split_clause,[],[f361,f1585]) ).
fof(f1585,plain,
( spl0_56
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f361,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pi__ge__zero_0) ).
fof(f1583,plain,
spl0_55,
inference(avatar_split_clause,[],[f1117,f1580]) ).
fof(f1580,plain,
( spl0_55
<=> class_Ring__and__Field_Oordered__semiring(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f1117,axiom,
class_Ring__and__Field_Oordered__semiring(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oordered__semiring) ).
fof(f1578,plain,
spl0_54,
inference(avatar_split_clause,[],[f1205,f1575]) ).
fof(f1575,plain,
( spl0_54
<=> class_Orderings_Oorder(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f1205,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Oorder) ).
fof(f1573,plain,
~ spl0_53,
inference(avatar_split_clause,[],[f1267,f1570]) ).
fof(f1570,plain,
( spl0_53
<=> c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f1267,plain,
c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal) != c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(definition_unfolding,[],[f930,f773,f773]) ).
fof(f930,axiom,
c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal) != c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pi__half__neq__two_0) ).
fof(f1568,plain,
spl0_52,
inference(avatar_split_clause,[],[f1162,f1565]) ).
fof(f1565,plain,
( spl0_52
<=> class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f1162,axiom,
class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add) ).
fof(f1563,plain,
spl0_51,
inference(avatar_split_clause,[],[f1218,f1560]) ).
fof(f1560,plain,
( spl0_51
<=> class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f1218,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult) ).
fof(f1558,plain,
spl0_50,
inference(avatar_split_clause,[],[f1222,f1555]) ).
fof(f1555,plain,
( spl0_50
<=> class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f1222,axiom,
class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring) ).
fof(f1553,plain,
spl0_49,
inference(avatar_split_clause,[],[f1210,f1550]) ).
fof(f1550,plain,
( spl0_49
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f1210,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add) ).
fof(f1548,plain,
~ spl0_48,
inference(avatar_split_clause,[],[f650,f1545]) ).
fof(f650,axiom,
c_Int_OMin != c_Int_OPls,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rel__simps_I40_J_0) ).
fof(f1543,plain,
spl0_47,
inference(avatar_split_clause,[],[f1234,f1540]) ).
fof(f1540,plain,
( spl0_47
<=> class_RealVector_Oreal__vector(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f1234,axiom,
class_RealVector_Oreal__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__vector) ).
fof(f1538,plain,
spl0_46,
inference(avatar_split_clause,[],[f1180,f1535]) ).
fof(f1535,plain,
( spl0_46
<=> class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f1180,axiom,
class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring) ).
fof(f1533,plain,
spl0_45,
inference(avatar_split_clause,[],[f1135,f1530]) ).
fof(f1530,plain,
( spl0_45
<=> class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f1135,axiom,
class_OrderedGroup_Omonoid__mult(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Omonoid__mult) ).
fof(f1528,plain,
spl0_44,
inference(avatar_split_clause,[],[f1285,f1525]) ).
fof(f1525,plain,
( spl0_44
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f1285,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(definition_unfolding,[],[f904,f773]) ).
fof(f904,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pi__half__gt__zero_0) ).
fof(f1523,plain,
spl0_43,
inference(avatar_split_clause,[],[f1134,f1520]) ).
fof(f1520,plain,
( spl0_43
<=> class_Ring__and__Field_Omult__mono(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f1134,axiom,
class_Ring__and__Field_Omult__mono(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Omult__mono) ).
fof(f1518,plain,
spl0_42,
inference(avatar_split_clause,[],[f1199,f1515]) ).
fof(f1515,plain,
( spl0_42
<=> class_RealVector_Oreal__field(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f1199,axiom,
class_RealVector_Oreal__field(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__field) ).
fof(f1513,plain,
spl0_41,
inference(avatar_split_clause,[],[f1239,f1510]) ).
fof(f1510,plain,
( spl0_41
<=> class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f1239,axiom,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oidom) ).
fof(f1507,plain,
spl0_40,
inference(avatar_split_clause,[],[f1147,f1504]) ).
fof(f1504,plain,
( spl0_40
<=> class_Int_Onumber(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f1147,axiom,
class_Int_Onumber(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Int_Onumber) ).
fof(f1502,plain,
spl0_39,
inference(avatar_split_clause,[],[f1156,f1499]) ).
fof(f1499,plain,
( spl0_39
<=> class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f1156,axiom,
class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add) ).
fof(f1497,plain,
spl0_38,
inference(avatar_split_clause,[],[f1207,f1494]) ).
fof(f1494,plain,
( spl0_38
<=> class_Int_Onumber__ring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f1207,axiom,
class_Int_Onumber__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Int_Onumber__ring) ).
fof(f1492,plain,
spl0_37,
inference(avatar_split_clause,[],[f1188,f1489]) ).
fof(f1489,plain,
( spl0_37
<=> class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f1188,axiom,
class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1) ).
fof(f1487,plain,
spl0_36,
inference(avatar_split_clause,[],[f1167,f1484]) ).
fof(f1484,plain,
( spl0_36
<=> class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f1167,axiom,
class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1) ).
fof(f1482,plain,
spl0_35,
inference(avatar_split_clause,[],[f1240,f1479]) ).
fof(f1479,plain,
( spl0_35
<=> class_Int_Oring__char__0(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f1240,axiom,
class_Int_Oring__char__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Int_Oring__char__0) ).
fof(f1477,plain,
spl0_34,
inference(avatar_split_clause,[],[f648,f1474]) ).
fof(f648,axiom,
c_Int_OMin = c_Int_OBit1(c_Int_OMin),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rel__simps_I43_J_1) ).
fof(f1472,plain,
spl0_33,
inference(avatar_split_clause,[],[f1192,f1469]) ).
fof(f1469,plain,
( spl0_33
<=> class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f1192,axiom,
class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult) ).
fof(f1467,plain,
spl0_32,
inference(avatar_split_clause,[],[f1185,f1464]) ).
fof(f1464,plain,
( spl0_32
<=> class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f1185,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one) ).
fof(f1462,plain,
spl0_31,
inference(avatar_split_clause,[],[f1193,f1459]) ).
fof(f1459,plain,
( spl0_31
<=> class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f1193,axiom,
class_Ring__and__Field_Osemiring(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Osemiring) ).
fof(f1457,plain,
spl0_30,
inference(avatar_split_clause,[],[f1157,f1454]) ).
fof(f1454,plain,
( spl0_30
<=> class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f1157,axiom,
class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors) ).
fof(f1452,plain,
spl0_29,
inference(avatar_split_clause,[],[f1194,f1449]) ).
fof(f1449,plain,
( spl0_29
<=> class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f1194,axiom,
class_RealVector_Oreal__algebra(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__algebra) ).
fof(f1447,plain,
spl0_28,
inference(avatar_split_clause,[],[f1137,f1444]) ).
fof(f1444,plain,
( spl0_28
<=> class_OrderedGroup_Omonoid__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f1137,axiom,
class_OrderedGroup_Omonoid__add(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Omonoid__add) ).
fof(f1442,plain,
spl0_27,
inference(avatar_split_clause,[],[f1071,f1439]) ).
fof(f1439,plain,
( spl0_27
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f1071,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Opordered__cancel__semiring) ).
fof(f1437,plain,
spl0_26,
inference(avatar_split_clause,[],[f1087,f1434]) ).
fof(f1434,plain,
( spl0_26
<=> class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f1087,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ozero__neq__one) ).
fof(f1432,plain,
( spl0_24
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f1066,f1429,f1425]) ).
fof(f1066,axiom,
( ~ c_lessequals(v_N1____,c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f1423,plain,
spl0_23,
inference(avatar_split_clause,[],[f1196,f1420]) ).
fof(f1420,plain,
( spl0_23
<=> class_RealVector_Oreal__vector(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f1196,axiom,
class_RealVector_Oreal__vector(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__vector) ).
fof(f1418,plain,
spl0_22,
inference(avatar_split_clause,[],[f1189,f1415]) ).
fof(f1415,plain,
( spl0_22
<=> class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f1189,axiom,
class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add) ).
fof(f1413,plain,
spl0_21,
inference(avatar_split_clause,[],[f1190,f1410]) ).
fof(f1410,plain,
( spl0_21
<=> class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f1190,axiom,
class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero) ).
fof(f1408,plain,
spl0_20,
inference(avatar_split_clause,[],[f1102,f1405]) ).
fof(f1405,plain,
( spl0_20
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1102,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Opordered__cancel__semiring) ).
fof(f1403,plain,
spl0_19,
inference(avatar_split_clause,[],[f1224,f1400]) ).
fof(f1400,plain,
( spl0_19
<=> class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1224,axiom,
class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field) ).
fof(f1398,plain,
spl0_18,
inference(avatar_split_clause,[],[f1099,f1395]) ).
fof(f1395,plain,
( spl0_18
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1099,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__cancel__ab__semigroup__add) ).
fof(f1393,plain,
spl0_17,
inference(avatar_split_clause,[],[f1200,f1390]) ).
fof(f1390,plain,
( spl0_17
<=> class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1200,axiom,
class_Ring__and__Field_Ofield(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ofield) ).
fof(f1388,plain,
spl0_16,
inference(avatar_split_clause,[],[f1246,f1385]) ).
fof(f1246,plain,
c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(definition_unfolding,[],[f928,f773,f773]) ).
fof(f928,axiom,
c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pi__less__4_0) ).
fof(f1383,plain,
spl0_15,
inference(avatar_split_clause,[],[f1181,f1380]) ).
fof(f1380,plain,
( spl0_15
<=> class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1181,axiom,
class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Odivision__ring) ).
fof(f1378,plain,
spl0_14,
inference(avatar_split_clause,[],[f1186,f1375]) ).
fof(f1375,plain,
( spl0_14
<=> class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1186,axiom,
class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom) ).
fof(f1373,plain,
spl0_13,
inference(avatar_split_clause,[],[f1169,f1370]) ).
fof(f1370,plain,
( spl0_13
<=> class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1169,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors) ).
fof(f1368,plain,
spl0_12,
inference(avatar_split_clause,[],[f1077,f1365]) ).
fof(f1365,plain,
( spl0_12
<=> class_Ring__and__Field_Opordered__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1077,axiom,
class_Ring__and__Field_Opordered__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Opordered__semiring) ).
fof(f1363,plain,
spl0_11,
inference(avatar_split_clause,[],[f1171,f1360]) ).
fof(f1360,plain,
( spl0_11
<=> class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1171,axiom,
class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom) ).
fof(f1358,plain,
spl0_10,
inference(avatar_split_clause,[],[f1201,f1355]) ).
fof(f1355,plain,
( spl0_10
<=> class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1201,axiom,
class_Ring__and__Field_Oring(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oring) ).
fof(f1353,plain,
spl0_9,
inference(avatar_split_clause,[],[f1257,f1350]) ).
fof(f1350,plain,
( spl0_9
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal)),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1257,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal)),tc_RealDef_Oreal),
inference(definition_unfolding,[],[f863,f773]) ).
fof(f863,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__sqrt__two__ge__zero_0) ).
fof(f1348,plain,
spl0_8,
inference(avatar_split_clause,[],[f1112,f1345]) ).
fof(f1345,plain,
( spl0_8
<=> class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1112,axiom,
class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add) ).
fof(f1343,plain,
spl0_7,
inference(avatar_split_clause,[],[f864,f1340]) ).
fof(f1340,plain,
( spl0_7
<=> c_Transcendental_Otan(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f864,axiom,
c_Transcendental_Otan(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_tan__60_0) ).
fof(f1338,plain,
spl0_6,
inference(avatar_split_clause,[],[f1170,f1335]) ).
fof(f1170,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero) ).
fof(f1333,plain,
spl0_5,
inference(avatar_split_clause,[],[f1083,f1330]) ).
fof(f1330,plain,
( spl0_5
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1083,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocomm__monoid__mult) ).
fof(f1328,plain,
spl0_4,
inference(avatar_split_clause,[],[f1163,f1325]) ).
fof(f1325,plain,
( spl0_4
<=> class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1163,axiom,
class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add) ).
fof(f1323,plain,
spl0_3,
inference(avatar_split_clause,[],[f1078,f1320]) ).
fof(f1320,plain,
( spl0_3
<=> class_Ring__and__Field_Oordered__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1078,axiom,
class_Ring__and__Field_Oordered__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Oordered__semiring) ).
fof(f1318,plain,
spl0_2,
inference(avatar_split_clause,[],[f1168,f1315]) ).
fof(f1315,plain,
( spl0_2
<=> class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1168,axiom,
class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring) ).
fof(f1313,plain,
spl0_1,
inference(avatar_split_clause,[],[f1104,f1310]) ).
fof(f1310,plain,
( spl0_1
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1104,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG376-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 15:04:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.59 % (572)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.59 % (580)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.60 % (572)Instruction limit reached!
% 0.19/0.60 % (572)------------------------------
% 0.19/0.60 % (572)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.61 % (572)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.61 % (572)Termination reason: Unknown
% 0.19/0.61 % (572)Termination phase: Function definition elimination
% 0.19/0.61
% 0.19/0.61 % (572)Memory used [KB]: 2174
% 0.19/0.61 % (572)Time elapsed: 0.009 s
% 0.19/0.61 % (572)Instructions burned: 8 (million)
% 0.19/0.61 % (572)------------------------------
% 0.19/0.61 % (572)------------------------------
% 0.19/0.64 % (587)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.65 % (579)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.65 % (567)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.67 % (561)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.67 % (591)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.67 % (570)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.67 % (569)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.68 % (568)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.68 % (574)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.68 % (588)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.69 % (580)Instruction limit reached!
% 0.19/0.69 % (580)------------------------------
% 0.19/0.69 % (580)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.69 % (580)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.69 % (580)Termination reason: Unknown
% 0.19/0.69 % (580)Termination phase: Saturation
% 0.19/0.69
% 0.19/0.69 % (580)Memory used [KB]: 2814
% 0.19/0.69 % (580)Time elapsed: 0.079 s
% 0.19/0.69 % (580)Instructions burned: 75 (million)
% 0.19/0.69 % (580)------------------------------
% 0.19/0.69 % (580)------------------------------
% 0.19/0.69 % (571)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.69 % (589)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.69 % (583)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.70 % (575)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.70 % (578)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.70 % (562)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.70 % (592)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.71 % (593)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.71 % (594)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.71 % (586)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.72 % (585)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.72 % (584)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.72 % (590)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.72 % (581)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.72 % (576)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.72 % (577)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.72 % (582)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.72 % (573)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.72 % (625)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 0.19/0.73 % (573)Instruction limit reached!
% 0.19/0.73 % (573)------------------------------
% 0.19/0.73 % (573)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.73 % (573)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.73 % (573)Termination reason: Unknown
% 0.19/0.73 % (573)Termination phase: shuffling
% 0.19/0.73
% 0.19/0.73 % (573)Memory used [KB]: 2046
% 0.19/0.73 % (573)Time elapsed: 0.005 s
% 0.19/0.73 % (573)Instructions burned: 2 (million)
% 0.19/0.73 % (573)------------------------------
% 0.19/0.73 % (573)------------------------------
% 2.32/0.74 % (567)Instruction limit reached!
% 2.32/0.74 % (567)------------------------------
% 2.32/0.74 % (567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.74 % (567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.74 % (567)Termination reason: Unknown
% 2.32/0.74 % (567)Termination phase: Property scanning
% 2.32/0.74
% 2.32/0.74 % (567)Memory used [KB]: 2174
% 2.32/0.74 % (567)Time elapsed: 0.028 s
% 2.32/0.74 % (567)Instructions burned: 39 (million)
% 2.32/0.74 % (567)------------------------------
% 2.32/0.74 % (567)------------------------------
% 2.70/0.76 % (571)Instruction limit reached!
% 2.70/0.76 % (571)------------------------------
% 2.70/0.76 % (571)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.76 % (571)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.76 % (571)Termination reason: Unknown
% 2.70/0.76 % (571)Termination phase: Finite model building preprocessing
% 2.70/0.76
% 2.70/0.76 % (571)Memory used [KB]: 3070
% 2.70/0.76 % (571)Time elapsed: 0.030 s
% 2.70/0.76 % (571)Instructions burned: 51 (million)
% 2.70/0.76 % (571)------------------------------
% 2.70/0.76 % (571)------------------------------
% 2.70/0.77 % (569)Instruction limit reached!
% 2.70/0.77 % (569)------------------------------
% 2.70/0.77 % (569)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.77 % (569)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.77 % (569)Termination reason: Unknown
% 2.70/0.77 % (569)Termination phase: Saturation
% 2.70/0.77
% 2.70/0.77 % (569)Memory used [KB]: 6908
% 2.70/0.77 % (569)Time elapsed: 0.030 s
% 2.70/0.77 % (569)Instructions burned: 51 (million)
% 2.70/0.77 % (569)------------------------------
% 2.70/0.77 % (569)------------------------------
% 2.70/0.77 % (570)Instruction limit reached!
% 2.70/0.77 % (570)------------------------------
% 2.70/0.77 % (570)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.77 % (570)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.77 % (570)Termination reason: Unknown
% 2.70/0.77 % (570)Termination phase: Saturation
% 2.70/0.77
% 2.70/0.77 % (570)Memory used [KB]: 6908
% 2.70/0.77 % (570)Time elapsed: 0.272 s
% 2.70/0.77 % (570)Instructions burned: 49 (million)
% 2.70/0.77 % (570)------------------------------
% 2.70/0.77 % (570)------------------------------
% 2.70/0.77 % (575)Instruction limit reached!
% 2.70/0.77 % (575)------------------------------
% 2.70/0.77 % (575)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.77 % (575)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.77 % (575)Termination reason: Unknown
% 2.70/0.77 % (575)Termination phase: Saturation
% 2.70/0.77
% 2.70/0.77 % (575)Memory used [KB]: 7291
% 2.70/0.77 % (575)Time elapsed: 0.027 s
% 2.70/0.77 % (575)Instructions burned: 50 (million)
% 2.70/0.77 % (575)------------------------------
% 2.70/0.77 % (575)------------------------------
% 2.70/0.79 % (562)Instruction limit reached!
% 2.70/0.79 % (562)------------------------------
% 2.70/0.79 % (562)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.79 % (574)Instruction limit reached!
% 2.70/0.79 % (574)------------------------------
% 2.70/0.79 % (574)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.79 % (574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.79 % (574)Termination reason: Unknown
% 2.70/0.79 % (574)Termination phase: Saturation
% 2.70/0.79
% 2.70/0.79 % (574)Memory used [KB]: 2814
% 2.70/0.79 % (574)Time elapsed: 0.032 s
% 2.70/0.79 % (574)Instructions burned: 51 (million)
% 2.70/0.79 % (574)------------------------------
% 2.70/0.79 % (574)------------------------------
% 2.70/0.79 % (562)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.79 % (562)Termination reason: Unknown
% 2.70/0.79 % (562)Termination phase: Saturation
% 2.70/0.79
% 2.70/0.79 % (562)Memory used [KB]: 7164
% 2.70/0.79 % (562)Time elapsed: 0.030 s
% 2.70/0.79 % (562)Instructions burned: 50 (million)
% 2.70/0.79 % (562)------------------------------
% 2.70/0.79 % (562)------------------------------
% 2.70/0.80 % (631)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/211Mi)
% 2.70/0.80 % (582)Instruction limit reached!
% 2.70/0.80 % (582)------------------------------
% 2.70/0.80 % (582)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.80 % (582)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.80 % (582)Termination reason: Unknown
% 2.70/0.80 % (582)Termination phase: Finite model building preprocessing
% 2.70/0.80
% 2.70/0.80 % (582)Memory used [KB]: 2942
% 2.70/0.80 % (582)Time elapsed: 0.029 s
% 2.70/0.80 % (582)Instructions burned: 59 (million)
% 2.70/0.80 % (582)------------------------------
% 2.70/0.80 % (582)------------------------------
% 2.70/0.80 % (568)Instruction limit reached!
% 2.70/0.80 % (568)------------------------------
% 2.70/0.80 % (568)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.80 % (568)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.80 % (568)Termination reason: Unknown
% 2.70/0.80 % (568)Termination phase: Saturation
% 2.70/0.80
% 2.70/0.80 % (568)Memory used [KB]: 7164
% 2.70/0.80 % (568)Time elapsed: 0.033 s
% 2.70/0.80 % (568)Instructions burned: 52 (million)
% 2.70/0.80 % (568)------------------------------
% 2.70/0.80 % (568)------------------------------
% 2.70/0.80 % (579)Instruction limit reached!
% 2.70/0.80 % (579)------------------------------
% 2.70/0.80 % (579)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.80 % (579)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.80 % (579)Termination reason: Unknown
% 2.70/0.80 % (579)Termination phase: Saturation
% 2.70/0.80
% 2.70/0.80 % (579)Memory used [KB]: 8443
% 2.70/0.80 % (579)Time elapsed: 0.042 s
% 2.70/0.80 % (579)Instructions burned: 69 (million)
% 2.70/0.80 % (579)------------------------------
% 2.70/0.80 % (579)------------------------------
% 2.70/0.81 % (591)Instruction limit reached!
% 2.70/0.81 % (591)------------------------------
% 2.70/0.81 % (591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.81 % (591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.81 % (591)Termination reason: Unknown
% 2.70/0.81 % (591)Termination phase: Saturation
% 2.70/0.81
% 2.70/0.81 % (591)Memory used [KB]: 8443
% 2.70/0.81 % (591)Time elapsed: 0.042 s
% 2.70/0.81 % (591)Instructions burned: 69 (million)
% 2.70/0.81 % (591)------------------------------
% 2.70/0.81 % (591)------------------------------
% 2.70/0.84 % (633)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.37/0.86 % (583)Instruction limit reached!
% 3.37/0.86 % (583)------------------------------
% 3.37/0.86 % (583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.37/0.86 % (583)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.37/0.86 % (583)Termination reason: Unknown
% 3.37/0.86 % (583)Termination phase: Saturation
% 3.37/0.86
% 3.37/0.86 % (583)Memory used [KB]: 7675
% 3.37/0.86 % (583)Time elapsed: 0.371 s
% 3.37/0.86 % (583)Instructions burned: 101 (million)
% 3.37/0.86 % (583)------------------------------
% 3.37/0.86 % (583)------------------------------
% 3.37/0.87 % (637)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 3.37/0.87 % (584)Instruction limit reached!
% 3.37/0.87 % (584)------------------------------
% 3.37/0.87 % (584)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.37/0.88 % (576)Instruction limit reached!
% 3.37/0.88 % (576)------------------------------
% 3.37/0.88 % (576)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.37/0.88 % (584)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.37/0.88 % (584)Termination reason: Unknown
% 3.37/0.88 % (584)Termination phase: Saturation
% 3.37/0.88
% 3.37/0.88 % (584)Memory used [KB]: 2942
% 3.37/0.88 % (584)Time elapsed: 0.379 s
% 3.37/0.88 % (584)Instructions burned: 101 (million)
% 3.37/0.88 % (584)------------------------------
% 3.37/0.88 % (584)------------------------------
% 3.37/0.89 % (576)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.37/0.89 % (576)Termination reason: Unknown
% 3.37/0.89 % (576)Termination phase: Saturation
% 3.37/0.89
% 3.37/0.89 % (576)Memory used [KB]: 7931
% 3.37/0.89 % (576)Time elapsed: 0.378 s
% 3.37/0.89 % (576)Instructions burned: 100 (million)
% 3.37/0.89 % (576)------------------------------
% 3.37/0.89 % (576)------------------------------
% 3.37/0.89 % (581)Instruction limit reached!
% 3.37/0.89 % (581)------------------------------
% 3.37/0.89 % (581)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.37/0.89 % (581)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.37/0.89 % (581)Termination reason: Unknown
% 3.37/0.89 % (581)Termination phase: Saturation
% 3.37/0.89
% 3.37/0.89 % (581)Memory used [KB]: 7547
% 3.37/0.89 % (581)Time elapsed: 0.391 s
% 3.37/0.89 % (581)Instructions burned: 100 (million)
% 3.37/0.89 % (581)------------------------------
% 3.37/0.89 % (581)------------------------------
% 3.37/0.89 % (578)Instruction limit reached!
% 3.37/0.89 % (578)------------------------------
% 3.37/0.89 % (578)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.37/0.89 % (578)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.37/0.89 % (578)Termination reason: Unknown
% 3.37/0.89 % (578)Termination phase: Saturation
% 3.37/0.89
% 3.37/0.89 % (578)Memory used [KB]: 7547
% 3.37/0.89 % (578)Time elapsed: 0.403 s
% 3.37/0.89 % (578)Instructions burned: 101 (million)
% 3.37/0.89 % (578)------------------------------
% 3.37/0.89 % (578)------------------------------
% 3.37/0.89 % (577)Instruction limit reached!
% 3.37/0.89 % (577)------------------------------
% 3.37/0.89 % (577)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.37/0.89 % (577)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.37/0.89 % (577)Termination reason: Unknown
% 3.37/0.89 % (577)Termination phase: Saturation
% 3.37/0.89
% 3.37/0.89 % (577)Memory used [KB]: 7675
% 3.37/0.89 % (577)Time elapsed: 0.057 s
% 3.37/0.89 % (577)Instructions burned: 101 (million)
% 3.37/0.89 % (577)------------------------------
% 3.37/0.89 % (577)------------------------------
% 3.37/0.89 % (664)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/934Mi)
% 3.37/0.90 % (669)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/655Mi)
% 3.59/0.90 % (673)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/68Mi)
% 3.59/0.90 % (682)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/940Mi)
% 3.59/0.91 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.59/0.91 % (668)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/747Mi)
% 3.59/0.92 % (683)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/981Mi)
% 3.59/0.93 % (685)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.59/0.94 % (686)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2016Mi)
% 3.73/0.94 % (690)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3735Mi)
% 3.73/0.95 % (694)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4958Mi)
% 3.73/0.96 % (633)Instruction limit reached!
% 3.73/0.96 % (633)------------------------------
% 3.73/0.96 % (633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.73/0.96 % (633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.73/0.96 % (633)Termination reason: Unknown
% 3.73/0.96 % (633)Termination phase: Saturation
% 3.73/0.96
% 3.73/0.96 % (633)Memory used [KB]: 7547
% 3.73/0.96 % (633)Time elapsed: 0.167 s
% 3.73/0.96 % (633)Instructions burned: 91 (million)
% 3.73/0.96 % (633)------------------------------
% 3.73/0.96 % (633)------------------------------
% 3.73/0.97 % (586)Instruction limit reached!
% 3.73/0.97 % (586)------------------------------
% 3.73/0.97 % (586)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.73/0.97 % (586)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.73/0.97 % (586)Termination reason: Unknown
% 3.73/0.97 % (586)Termination phase: Saturation
% 3.73/0.97
% 3.73/0.97 % (586)Memory used [KB]: 8187
% 3.73/0.97 % (586)Time elapsed: 0.473 s
% 3.73/0.97 % (586)Instructions burned: 139 (million)
% 3.73/0.97 % (586)------------------------------
% 3.73/0.97 % (586)------------------------------
% 3.73/1.00 % (716)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 3.73/1.00 % (725)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4931Mi)
% 3.73/1.00 % (592)Instruction limit reached!
% 3.73/1.00 % (592)------------------------------
% 3.73/1.00 % (592)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.73/1.00 % (592)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.73/1.00 % (592)Termination reason: Unknown
% 3.73/1.00 % (592)Termination phase: Saturation
% 3.73/1.00
% 3.73/1.00 % (592)Memory used [KB]: 3965
% 3.73/1.00 % (592)Time elapsed: 0.494 s
% 3.73/1.00 % (592)Instructions burned: 178 (million)
% 3.73/1.00 % (592)------------------------------
% 3.73/1.00 % (592)------------------------------
% 3.73/1.00 % (724)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4756Mi)
% 3.73/1.02 % (585)Instruction limit reached!
% 3.73/1.02 % (585)------------------------------
% 3.73/1.02 % (585)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.73/1.02 % (585)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.73/1.02 % (585)Termination reason: Unknown
% 3.73/1.02 % (585)Termination phase: Saturation
% 3.73/1.02
% 3.73/1.02 % (585)Memory used [KB]: 8187
% 3.73/1.02 % (585)Time elapsed: 0.092 s
% 3.73/1.02 % (585)Instructions burned: 177 (million)
% 3.73/1.02 % (585)------------------------------
% 3.73/1.02 % (585)------------------------------
% 3.73/1.02 % (736)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2134Mi)
% 3.73/1.02 % (673)Instruction limit reached!
% 3.73/1.02 % (673)------------------------------
% 3.73/1.02 % (673)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.73/1.02 % (727)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/68Mi)
% 3.73/1.02 % (734)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1824Mi)
% 3.73/1.02 % (673)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.73/1.02 % (673)Termination reason: Unknown
% 3.73/1.02 % (673)Termination phase: Saturation
% 3.73/1.02
% 3.73/1.02 % (673)Memory used [KB]: 8443
% 3.73/1.02 % (673)Time elapsed: 0.035 s
% 3.73/1.02 % (673)Instructions burned: 69 (million)
% 3.73/1.02 % (673)------------------------------
% 3.73/1.02 % (673)------------------------------
% 4.19/1.07 % (685)Instruction limit reached!
% 4.19/1.07 % (685)------------------------------
% 4.19/1.07 % (685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.19/1.07 % (685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.19/1.07 % (685)Termination reason: Unknown
% 4.19/1.07 % (685)Termination phase: Saturation
% 4.19/1.07
% 4.19/1.07 % (685)Memory used [KB]: 7547
% 4.19/1.07 % (798)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2891Mi)
% 4.19/1.07 % (685)Time elapsed: 0.233 s
% 4.19/1.07 % (685)Instructions burned: 90 (million)
% 4.19/1.07 % (685)------------------------------
% 4.19/1.07 % (685)------------------------------
% 4.39/1.10 % (799)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 4.39/1.10 % (631)Instruction limit reached!
% 4.39/1.10 % (631)------------------------------
% 4.39/1.10 % (631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.39/1.10 % (631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.39/1.10 % (631)Termination reason: Unknown
% 4.39/1.10 % (631)Termination phase: Saturation
% 4.39/1.10
% 4.39/1.10 % (631)Memory used [KB]: 4733
% 4.39/1.10 % (631)Time elapsed: 0.325 s
% 4.39/1.10 % (631)Instructions burned: 211 (million)
% 4.39/1.10 % (631)------------------------------
% 4.39/1.10 % (631)------------------------------
% 4.39/1.11 % (727)Instruction limit reached!
% 4.39/1.11 % (727)------------------------------
% 4.39/1.11 % (727)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.39/1.11 % (727)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.39/1.11 % (727)Termination reason: Unknown
% 4.39/1.11 % (727)Termination phase: Saturation
% 4.39/1.11
% 4.39/1.11 % (727)Memory used [KB]: 8443
% 4.39/1.11 % (727)Time elapsed: 0.032 s
% 4.39/1.11 % (727)Instructions burned: 69 (million)
% 4.39/1.11 % (727)------------------------------
% 4.39/1.11 % (727)------------------------------
% 4.39/1.14 % (819)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/90Mi)
% 4.39/1.15 % (824)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2016Mi)
% 4.59/1.17 % (828)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/8004Mi)
% 4.68/1.20 TRYING [1]
% 4.68/1.21 % (838)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9965Mi)
% 4.68/1.21 % (845)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9877Mi)
% 4.75/1.25 % (849)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9902Mi)
% 4.75/1.26 TRYING [2]
% 4.75/1.28 % (625)Instruction limit reached!
% 4.75/1.28 % (625)------------------------------
% 4.75/1.28 % (625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.75/1.28 % (625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.75/1.28 % (625)Termination reason: Unknown
% 4.75/1.28 % (625)Termination phase: Saturation
% 4.75/1.28
% 4.75/1.28 % (625)Memory used [KB]: 9978
% 4.75/1.28 % (625)Time elapsed: 0.559 s
% 4.75/1.28 % (625)Instructions burned: 388 (million)
% 4.75/1.28 % (625)------------------------------
% 4.75/1.28 % (625)------------------------------
% 4.75/1.29 % (819)Instruction limit reached!
% 4.75/1.29 % (819)------------------------------
% 4.75/1.29 % (819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.75/1.29 % (819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.75/1.29 % (819)Termination reason: Unknown
% 4.75/1.29 % (819)Termination phase: Saturation
% 4.75/1.29
% 4.75/1.29 % (819)Memory used [KB]: 7547
% 4.75/1.29 % (819)Time elapsed: 0.269 s
% 4.75/1.29 % (819)Instructions burned: 90 (million)
% 4.75/1.29 % (819)------------------------------
% 4.75/1.29 % (819)------------------------------
% 7.36/1.38 % (594)Instruction limit reached!
% 7.36/1.38 % (594)------------------------------
% 7.36/1.38 % (594)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.36/1.39 % (594)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.36/1.39 % (594)Termination reason: Unknown
% 7.36/1.39 % (594)Termination phase: Saturation
% 7.36/1.39
% 7.36/1.39 % (594)Memory used [KB]: 9083
% 7.36/1.39 % (594)Time elapsed: 0.879 s
% 7.36/1.39 % (594)Instructions burned: 355 (million)
% 7.36/1.39 % (594)------------------------------
% 7.36/1.39 % (594)------------------------------
% 7.84/1.41 % (912)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/1824Mi)
% 7.84/1.42 % (593)Instruction limit reached!
% 7.84/1.42 % (593)------------------------------
% 7.84/1.42 % (593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.84/1.43 % (593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.84/1.43 % (593)Termination reason: Unknown
% 7.84/1.43 % (593)Termination phase: Saturation
% 7.84/1.43
% 7.84/1.43 % (593)Memory used [KB]: 9722
% 7.84/1.43 % (593)Time elapsed: 0.870 s
% 7.84/1.43 % (593)Instructions burned: 440 (million)
% 7.84/1.43 % (593)------------------------------
% 7.84/1.43 % (593)------------------------------
% 7.84/1.44 % (916)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9989Mi)
% 7.84/1.46 % (587)Instruction limit reached!
% 7.84/1.46 % (587)------------------------------
% 7.84/1.46 % (587)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.84/1.46 % (587)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.84/1.46 % (587)Termination reason: Unknown
% 7.84/1.46 % (587)Termination phase: Saturation
% 7.84/1.46
% 7.84/1.46 % (587)Memory used [KB]: 4861
% 7.84/1.46 % (587)Time elapsed: 0.933 s
% 7.84/1.46 % (587)Instructions burned: 499 (million)
% 7.84/1.46 % (587)------------------------------
% 7.84/1.46 % (587)------------------------------
% 8.31/1.48 % (588)Instruction limit reached!
% 8.31/1.48 % (588)------------------------------
% 8.31/1.48 % (588)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.31/1.48 % (588)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.31/1.48 % (588)Termination reason: Unknown
% 8.31/1.48 % (588)Termination phase: Saturation
% 8.31/1.48
% 8.31/1.48 % (588)Memory used [KB]: 9594
% 8.31/1.48 % (588)Time elapsed: 0.958 s
% 8.31/1.48 % (588)Instructions burned: 468 (million)
% 8.31/1.48 % (588)------------------------------
% 8.31/1.48 % (588)------------------------------
% 8.31/1.51 % (589)Instruction limit reached!
% 8.31/1.51 % (589)------------------------------
% 8.31/1.51 % (589)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.31/1.51 % (589)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.31/1.51 % (589)Termination reason: Unknown
% 8.31/1.51 % (589)Termination phase: Saturation
% 8.31/1.51
% 8.31/1.51 % (589)Memory used [KB]: 9722
% 8.31/1.51 % (589)Time elapsed: 1.018 s
% 8.31/1.51 % (589)Instructions burned: 483 (million)
% 8.31/1.51 % (589)------------------------------
% 8.31/1.51 % (589)------------------------------
% 8.31/1.52 % (918)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/9707Mi)
% 8.31/1.53 % (919)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/90Mi)
% 8.94/1.57 % (590)Instruction limit reached!
% 8.94/1.57 % (590)------------------------------
% 8.94/1.57 % (590)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.94/1.57 % (590)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.94/1.57 % (590)Termination reason: Unknown
% 8.94/1.57 % (590)Termination phase: Saturation
% 8.94/1.57
% 8.94/1.57 % (590)Memory used [KB]: 11001
% 8.94/1.57 % (590)Time elapsed: 1.058 s
% 8.94/1.57 % (590)Instructions burned: 502 (million)
% 8.94/1.57 % (590)------------------------------
% 8.94/1.57 % (590)------------------------------
% 9.16/1.60 % (920)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/44001Mi)
% 9.16/1.61 % (921)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/4958Mi)
% 9.42/1.64 % (922)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/35256Mi)
% 9.46/1.65 % (919)Instruction limit reached!
% 9.46/1.65 % (919)------------------------------
% 9.46/1.65 % (919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.46/1.65 % (919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.46/1.65 % (919)Termination reason: Unknown
% 9.46/1.65 % (919)Termination phase: Saturation
% 9.46/1.65
% 9.46/1.65 % (919)Memory used [KB]: 7547
% 9.46/1.65 % (919)Time elapsed: 0.158 s
% 9.46/1.65 % (919)Instructions burned: 90 (million)
% 9.46/1.65 % (919)------------------------------
% 9.46/1.65 % (919)------------------------------
% 9.46/1.70 % (923)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/32293Mi)
% 10.38/1.79 % (669)Instruction limit reached!
% 10.38/1.79 % (669)------------------------------
% 10.38/1.79 % (669)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.38/1.79 % (669)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.38/1.79 % (669)Termination reason: Unknown
% 10.38/1.79 % (669)Termination phase: Saturation
% 10.38/1.79
% 10.38/1.79 % (669)Memory used [KB]: 5756
% 10.38/1.79 % (669)Time elapsed: 0.969 s
% 10.38/1.79 % (669)Instructions burned: 655 (million)
% 10.38/1.79 % (669)------------------------------
% 10.38/1.79 % (669)------------------------------
% 10.38/1.80 % (924)ott+21_1:28_afr=on:anc=all_dependent:bs=on:bsr=unit_only:nicw=on:sp=const_frequency:uhcvi=on:i=37001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/37001Mi)
% 10.95/1.89 % (838)First to succeed.
% 11.14/1.92 % (925)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/10187Mi)
% 11.14/1.93 % (838)Refutation found. Thanks to Tanya!
% 11.14/1.93 % SZS status Unsatisfiable for theBenchmark
% 11.14/1.93 % SZS output start Proof for theBenchmark
% See solution above
% 11.14/1.93 % (838)------------------------------
% 11.14/1.93 % (838)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.14/1.93 % (838)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.14/1.93 % (838)Termination reason: Refutation
% 11.14/1.93
% 11.14/1.93 % (838)Memory used [KB]: 4733
% 11.14/1.93 % (838)Time elapsed: 0.806 s
% 11.14/1.93 % (838)Instructions burned: 497 (million)
% 11.14/1.93 % (838)------------------------------
% 11.14/1.93 % (838)------------------------------
% 11.14/1.93 % (558)Success in time 1.572 s
%------------------------------------------------------------------------------