TSTP Solution File: ALG375-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG375-1 : 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 : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:44:13 EDT 2022
% Result : Unsatisfiable 10.04s 1.75s
% Output : Refutation 10.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 465
% Syntax : Number of formulae : 858 ( 382 unt; 0 def)
% Number of atoms : 1478 ( 136 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 979 ( 359 ~; 372 |; 0 &)
% ( 248 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 310 ( 308 usr; 250 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 8 con; 0-4 aty)
% Number of variables : 187 ( 187 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2997,plain,
$false,
inference(avatar_smt_refutation,[],[f1099,f1104,f1109,f1117,f1122,f1127,f1132,f1137,f1142,f1147,f1152,f1157,f1162,f1167,f1172,f1177,f1182,f1187,f1192,f1197,f1202,f1207,f1213,f1218,f1223,f1228,f1233,f1238,f1239,f1245,f1250,f1255,f1260,f1265,f1270,f1275,f1280,f1285,f1290,f1295,f1300,f1305,f1310,f1315,f1320,f1325,f1330,f1335,f1340,f1345,f1350,f1355,f1360,f1365,f1370,f1375,f1380,f1385,f1391,f1396,f1401,f1406,f1410,f1416,f1421,f1426,f1431,f1436,f1443,f1448,f1453,f1458,f1463,f1468,f1473,f1478,f1489,f1494,f1499,f1504,f1509,f1514,f1519,f1525,f1530,f1535,f1540,f1546,f1551,f1556,f1561,f1566,f1571,f1576,f1581,f1586,f1591,f1596,f1601,f1606,f1612,f1617,f1629,f1634,f1639,f1644,f1650,f1655,f1666,f1671,f1677,f1682,f1688,f1693,f1698,f1703,f1708,f1713,f1718,f1724,f1729,f1737,f1742,f1747,f1752,f1757,f1762,f1768,f1770,f1775,f1780,f1785,f1790,f1795,f1800,f1805,f1810,f1815,f1820,f1825,f1830,f1835,f1841,f1846,f1851,f1856,f1861,f1866,f1871,f1876,f1881,f1886,f1895,f1900,f1905,f1910,f1915,f1921,f1927,f1934,f1939,f1944,f1950,f1957,f1962,f1967,f1972,f1978,f1983,f1988,f1994,f1999,f2004,f2009,f2014,f2018,f2024,f2029,f2034,f2042,f2047,f2052,f2060,f2066,f2072,f2078,f2084,f2090,f2096,f2102,f2108,f2123,f2133,f2152,f2256,f2280,f2281,f2374,f2397,f2426,f2430,f2434,f2438,f2442,f2448,f2474,f2524,f2533,f2536,f2545,f2548,f2571,f2573,f2618,f2623,f2627,f2647,f2665,f2676,f2681,f2684,f2685,f2687,f2734,f2738,f2822,f2827,f2831,f2836,f2855,f2860,f2866,f2871,f2876,f2881,f2890,f2910,f2918,f2923,f2926,f2929,f2934,f2952,f2981,f2986,f2991,f2996]) ).
fof(f2996,plain,
( spl0_248
| spl0_228
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f2985,f2517,f2819,f2993]) ).
fof(f2993,plain,
( spl0_248
<=> c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(v_sko__CHAINED__1(v_p,v_s____,v_z____)),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_Ouminus__class_Ouminus(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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f2819,plain,
( spl0_228
<=> 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_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) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).
fof(f2517,plain,
( spl0_209
<=> c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(v_sko__CHAINED__1(v_p,v_s____,v_z____)),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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f2985,plain,
( 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_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)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(v_sko__CHAINED__1(v_p,v_s____,v_z____)),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_Ouminus__class_Ouminus(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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_209 ),
inference(superposition,[],[f2519,f2174]) ).
fof(f2174,plain,
! [X0] :
( c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)
| c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal) = X0 ),
inference(resolution,[],[f869,f795]) ).
fof(f795,axiom,
! [X27] :
( c_HOL_Oord__class_Oless(X27,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oabs__class_Oabs(X27,tc_RealDef_Oreal) = X27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__abs__def_1) ).
fof(f869,axiom,
! [X27] :
( ~ c_HOL_Oord__class_Oless(X27,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Ouminus__class_Ouminus(X27,tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(X27,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__abs__def_0) ).
fof(f2519,plain,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(v_sko__CHAINED__1(v_p,v_s____,v_z____)),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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_209 ),
inference(avatar_component_clause,[],[f2517]) ).
fof(f2991,plain,
( spl0_247
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f2984,f2517,f2988]) ).
fof(f2988,plain,
( spl0_247
<=> c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(v_sko__CHAINED__1(v_p,v_s____,v_z____)),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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).
fof(f2984,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(v_sko__CHAINED__1(v_p,v_s____,v_z____)),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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_209 ),
inference(resolution,[],[f2519,f665]) ).
fof(f665,axiom,
! [X2,X1] :
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| c_lessequals(X1,X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__less__def_0) ).
fof(f2986,plain,
( ~ spl0_123
| ~ spl0_122
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f2983,f2517,f1727,f1734]) ).
fof(f1734,plain,
( spl0_123
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f1727,plain,
( spl0_122
<=> ! [X38] :
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X38,tc_RealDef_Oreal) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f2983,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)
| ~ spl0_122
| ~ spl0_209 ),
inference(resolution,[],[f2519,f1728]) ).
fof(f1728,plain,
( ! [X38] :
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X38,tc_RealDef_Oreal) )
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f1727]) ).
fof(f2981,plain,
( spl0_246
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f2973,f2471,f2978]) ).
fof(f2978,plain,
( spl0_246
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(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_246])]) ).
fof(f2471,plain,
( spl0_208
<=> 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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f2973,plain,
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_208 ),
inference(superposition,[],[f730,f2473]) ).
fof(f2473,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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_208 ),
inference(avatar_component_clause,[],[f2471]) ).
fof(f730,axiom,
! [X1] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,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(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sum__of__halves_0) ).
fof(f2952,plain,
( ~ spl0_244
| spl0_245
| spl0_235 ),
inference(avatar_split_clause,[],[f2943,f2868,f2949,f2945]) ).
fof(f2945,plain,
( spl0_244
<=> c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(v_sko__CHAINED__1(v_p,v_s____,v_z____)),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_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),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).
fof(f2949,plain,
( spl0_245
<=> c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(v_sko__CHAINED__1(v_p,v_s____,v_z____)),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_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),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).
fof(f2868,plain,
( spl0_235
<=> c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(v_sko__CHAINED__1(v_p,v_s____,v_z____)),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_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),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f2943,plain,
( c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(v_sko__CHAINED__1(v_p,v_s____,v_z____)),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_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),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(v_sko__CHAINED__1(v_p,v_s____,v_z____)),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_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),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_235 ),
inference(resolution,[],[f2869,f666]) ).
fof(f666,axiom,
! [X2,X1] :
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| X1 = X2
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__less__def_2) ).
fof(f2869,plain,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(v_sko__CHAINED__1(v_p,v_s____,v_z____)),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_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),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_235 ),
inference(avatar_component_clause,[],[f2868]) ).
fof(f2934,plain,
( spl0_243
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f2927,f2887,f2931]) ).
fof(f2931,plain,
( spl0_243
<=> c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v_s____,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
fof(f2887,plain,
( spl0_238
<=> c_HOL_Oord__class_Oless(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) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f2927,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v_s____,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_238 ),
inference(resolution,[],[f2888,f575]) ).
fof(f575,axiom,
! [X2,X1] :
( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__add__less__0__iff_1) ).
fof(f2888,plain,
( c_HOL_Oord__class_Oless(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)
| ~ spl0_238 ),
inference(avatar_component_clause,[],[f2887]) ).
fof(f2929,plain,
( spl0_240
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f2928,f2887,f2907]) ).
fof(f2907,plain,
( spl0_240
<=> c_lessequals(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) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f2928,plain,
( c_lessequals(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)
| ~ spl0_238 ),
inference(resolution,[],[f2888,f665]) ).
fof(f2926,plain,
( spl0_238
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f2924,f2857,f2887]) ).
fof(f2857,plain,
( spl0_233
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),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) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f2924,plain,
( c_HOL_Oord__class_Oless(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)
| ~ spl0_233 ),
inference(resolution,[],[f2859,f1623]) ).
fof(f1623,plain,
! [X34,X35] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X34,X35,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X35,X34,tc_RealDef_Oreal) ),
inference(backward_demodulation,[],[f573,f397]) ).
fof(f397,axiom,
! [X31,X27] : c_HOL_Ominus__class_Ominus(X27,X31,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X27,c_HOL_Ouminus__class_Ouminus(X31,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__diff__def_0) ).
fof(f573,axiom,
! [X34,X35] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X34,c_HOL_Ouminus__class_Ouminus(X35,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X35,X34,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sum__gt__zero__less_0) ).
fof(f2859,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),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)
| ~ spl0_233 ),
inference(avatar_component_clause,[],[f2857]) ).
fof(f2923,plain,
( spl0_242
| ~ spl0_232
| spl0_233 ),
inference(avatar_split_clause,[],[f2885,f2857,f2852,f2920]) ).
fof(f2920,plain,
( spl0_242
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = 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) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
fof(f2852,plain,
( spl0_232
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),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) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
fof(f2885,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),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_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = 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)
| spl0_233 ),
inference(resolution,[],[f2858,f666]) ).
fof(f2858,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),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)
| spl0_233 ),
inference(avatar_component_clause,[],[f2857]) ).
fof(f2918,plain,
( spl0_241
| spl0_232 ),
inference(avatar_split_clause,[],[f2911,f2852,f2915]) ).
fof(f2915,plain,
( spl0_241
<=> c_lessequals(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) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
fof(f2911,plain,
( c_lessequals(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)
| spl0_232 ),
inference(resolution,[],[f2853,f2165]) ).
fof(f2165,plain,
! [X0,X1] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(X0,X1,tc_RealDef_Oreal) ),
inference(resolution,[],[f394,f5]) ).
fof(f5,axiom,
! [X3,X4] :
( c_lessequals(X4,X3,tc_RealDef_Oreal)
| c_lessequals(X3,X4,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__le__linear_0) ).
fof(f394,axiom,
! [X2,X1] :
( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(X1,X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__le__eq__diff_1) ).
fof(f2853,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),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)
| spl0_232 ),
inference(avatar_component_clause,[],[f2852]) ).
fof(f2910,plain,
( spl0_239
| ~ spl0_240
| spl0_238 ),
inference(avatar_split_clause,[],[f2901,f2887,f2907,f2903]) ).
fof(f2903,plain,
( spl0_239
<=> 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) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
fof(f2901,plain,
( ~ c_lessequals(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)
| 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)
| spl0_238 ),
inference(resolution,[],[f2889,f666]) ).
fof(f2889,plain,
( ~ c_HOL_Oord__class_Oless(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)
| spl0_238 ),
inference(avatar_component_clause,[],[f2887]) ).
fof(f2890,plain,
( ~ spl0_238
| spl0_233 ),
inference(avatar_split_clause,[],[f2884,f2857,f2887]) ).
fof(f2884,plain,
( ~ c_HOL_Oord__class_Oless(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)
| spl0_233 ),
inference(resolution,[],[f2858,f1621]) ).
fof(f1621,plain,
! [X34,X35] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X34,X35,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X35,X34,tc_RealDef_Oreal) ),
inference(backward_demodulation,[],[f572,f397]) ).
fof(f572,axiom,
! [X34,X35] :
( ~ c_HOL_Oord__class_Oless(X35,X34,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X34,c_HOL_Ouminus__class_Ouminus(X35,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__less__sum__gt__zero_0) ).
fof(f2881,plain,
( spl0_237
| ~ spl0_207
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2845,f2819,f2445,f2878]) ).
fof(f2878,plain,
( spl0_237
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(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),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f2445,plain,
( spl0_207
<=> 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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f2845,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(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),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_207
| ~ spl0_228 ),
inference(backward_demodulation,[],[f2447,f2821]) ).
fof(f2821,plain,
( 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_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)
| ~ spl0_228 ),
inference(avatar_component_clause,[],[f2819]) ).
fof(f2447,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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_207 ),
inference(avatar_component_clause,[],[f2445]) ).
fof(f2876,plain,
( ~ spl0_236
| spl0_212
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2849,f2819,f2530,f2873]) ).
fof(f2873,plain,
( spl0_236
<=> c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_sko__local__Xthat__1(v_sko__CHAINED__1(v_p,v_s____,v_z____),v_p,v_s____,v_z____),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_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),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f2530,plain,
( spl0_212
<=> c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_sko__local__Xthat__1(v_sko__CHAINED__1(v_p,v_s____,v_z____),v_p,v_s____,v_z____),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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f2849,plain,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_sko__local__Xthat__1(v_sko__CHAINED__1(v_p,v_s____,v_z____),v_p,v_s____,v_z____),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_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),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_212
| ~ spl0_228 ),
inference(backward_demodulation,[],[f2531,f2821]) ).
fof(f2531,plain,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_sko__local__Xthat__1(v_sko__CHAINED__1(v_p,v_s____,v_z____),v_p,v_s____,v_z____),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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_212 ),
inference(avatar_component_clause,[],[f2530]) ).
fof(f2871,plain,
( spl0_235
| ~ spl0_209
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2848,f2819,f2517,f2868]) ).
fof(f2848,plain,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(v_sko__CHAINED__1(v_p,v_s____,v_z____)),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_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),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_209
| ~ spl0_228 ),
inference(backward_demodulation,[],[f2519,f2821]) ).
fof(f2866,plain,
( spl0_234
| ~ spl0_183
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2841,f2819,f2057,f2863]) ).
fof(f2863,plain,
( spl0_234
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(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),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f2057,plain,
( spl0_183
<=> 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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f2841,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(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),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_183
| ~ spl0_228 ),
inference(backward_demodulation,[],[f2059,f2821]) ).
fof(f2059,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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f2057]) ).
fof(f2860,plain,
( spl0_233
| ~ spl0_184
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2842,f2819,f2063,f2857]) ).
fof(f2063,plain,
( spl0_184
<=> 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_184])]) ).
fof(f2842,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),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)
| ~ spl0_184
| ~ spl0_228 ),
inference(backward_demodulation,[],[f2065,f2821]) ).
fof(f2065,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_184 ),
inference(avatar_component_clause,[],[f2063]) ).
fof(f2855,plain,
( spl0_232
| ~ spl0_196
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2844,f2819,f2253,f2852]) ).
fof(f2253,plain,
( spl0_196
<=> 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_196])]) ).
fof(f2844,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),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)
| ~ spl0_196
| ~ spl0_228 ),
inference(backward_demodulation,[],[f2255,f2821]) ).
fof(f2255,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_196 ),
inference(avatar_component_clause,[],[f2253]) ).
fof(f2836,plain,
( spl0_228
| spl0_231
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f2807,f2057,f2833,f2819]) ).
fof(f2833,plain,
( spl0_231
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
fof(f2807,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),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) = 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)
| ~ spl0_183 ),
inference(superposition,[],[f2059,f2174]) ).
fof(f2831,plain,
( spl0_228
| spl0_230
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f2806,f1283,f2829,f2819]) ).
fof(f2829,plain,
( spl0_230
<=> ! [X12] :
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_sko__local__Xthat__1(X12,v_p,v_s____,v_z____),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_Ouminus__class_Ouminus(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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X12,tc_RealDef_Oreal) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).
fof(f1283,plain,
( spl0_38
<=> ! [X8] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_sko__local__Xthat__1(X8,v_p,v_s____,v_z____),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) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f2806,plain,
( ! [X12] :
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_sko__local__Xthat__1(X12,v_p,v_s____,v_z____),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_Ouminus__class_Ouminus(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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X12,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) = 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) )
| ~ spl0_38 ),
inference(superposition,[],[f2054,f2174]) ).
fof(f2054,plain,
( ! [X8] :
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_sko__local__Xthat__1(X8,v_p,v_s____,v_z____),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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal) )
| ~ spl0_38 ),
inference(forward_demodulation,[],[f1284,f1624]) ).
fof(f1624,plain,
! [X2,X1] : c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1622,f397]) ).
fof(f1622,plain,
! [X2,X1] : c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(backward_demodulation,[],[f399,f397]) ).
fof(f399,axiom,
! [X2,X1] : c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__minus__add__cancel_0) ).
fof(f1284,plain,
( ! [X8] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_sko__local__Xthat__1(X8,v_p,v_s____,v_z____),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) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f1283]) ).
fof(f2827,plain,
( spl0_229
| spl0_228
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f2808,f2063,f2819,f2824]) ).
fof(f2824,plain,
( spl0_229
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(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_229])]) ).
fof(f2808,plain,
( 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_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)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(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_184 ),
inference(superposition,[],[f2065,f2174]) ).
fof(f2822,plain,
( spl0_227
| spl0_228
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f2809,f1727,f2819,f2816]) ).
fof(f2816,plain,
( spl0_227
<=> ! [X13] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X13,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(X13),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_Ouminus__class_Ouminus(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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).
fof(f2809,plain,
( ! [X13] :
( 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_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)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X13,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(X13),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_Ouminus__class_Ouminus(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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) )
| ~ spl0_122 ),
inference(superposition,[],[f1728,f2174]) ).
fof(f2738,plain,
( ~ spl0_180
| spl0_226
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f2729,f1705,f2736,f2039]) ).
fof(f2039,plain,
( spl0_180
<=> class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f2736,plain,
( spl0_226
<=> ! [X0] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f1705,plain,
( spl0_118
<=> class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f2729,plain,
( ! [X0] :
( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) )
| ~ spl0_118 ),
inference(resolution,[],[f893,f1707]) ).
fof(f1707,plain,
( class_Ring__and__Field_Ofield(tc_Complex_Ocomplex)
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f1705]) ).
fof(f893,axiom,
! [X0,X5] :
( ~ class_Ring__and__Field_Ofield(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Oinverse__class_Odivide(X5,c_HOL_Ozero__class_Ozero(X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__eq__eq_1) ).
fof(f2734,plain,
( ~ spl0_64
| spl0_225
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f2730,f1235,f2732,f1413]) ).
fof(f1413,plain,
( spl0_64
<=> class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f2732,plain,
( spl0_225
<=> ! [X1] : c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f1235,plain,
( spl0_29
<=> class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f2730,plain,
( ! [X1] :
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) )
| ~ spl0_29 ),
inference(resolution,[],[f893,f1237]) ).
fof(f1237,plain,
( class_Ring__and__Field_Ofield(tc_RealDef_Oreal)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f1235]) ).
fof(f2687,plain,
( spl0_215
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f2291,f1483,f2566]) ).
fof(f2566,plain,
( spl0_215
<=> ! [X1] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f1483,plain,
( spl0_77
<=> 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_77])]) ).
fof(f2291,plain,
! [X3] :
( ~ 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_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(resolution,[],[f386,f19]) ).
fof(f19,axiom,
! [X3] : c_lessequals(X3,X3,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__le__refl_0) ).
fof(f386,axiom,
! [X2,X1] :
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,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(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__0__le__divide__iff_5) ).
fof(f2685,plain,
( spl0_215
| ~ spl0_77
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f2666,f2130,f1483,f2566]) ).
fof(f2130,plain,
( spl0_193
<=> 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_193])]) ).
fof(f2666,plain,
( ! [X0] :
( ~ 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_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) )
| ~ spl0_193 ),
inference(forward_demodulation,[],[f2588,f2132]) ).
fof(f2132,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)
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f2130]) ).
fof(f2588,plain,
( ! [X0] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) )
| ~ spl0_193 ),
inference(forward_demodulation,[],[f2575,f2132]) ).
fof(f2575,plain,
! [X0] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(resolution,[],[f2124,f386]) ).
fof(f2124,plain,
! [X0] : c_lessequals(X0,c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(resolution,[],[f694,f19]) ).
fof(f694,axiom,
! [X1,X27] :
( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X27,tc_RealDef_Oreal)
| c_lessequals(X1,X27,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__le__interval__iff_1) ).
fof(f2684,plain,
( spl0_215
| spl0_197 ),
inference(avatar_split_clause,[],[f2574,f2275,f2566]) ).
fof(f2275,plain,
( spl0_197
<=> ! [X0,X1] :
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f2574,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),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(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(forward_subsumption_demodulation,[],[f2290,f2208]) ).
fof(f2208,plain,
! [X6,X5] :
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X5,X6,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
| c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X5,X6,tc_RealDef_Oreal) ),
inference(resolution,[],[f684,f235]) ).
fof(f235,axiom,
! [X3,X4] :
( ~ c_lessequals(X3,X4,tc_RealDef_Oreal)
| ~ c_lessequals(X4,X3,tc_RealDef_Oreal)
| X3 = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__le__antisym_0) ).
fof(f684,axiom,
! [X2,X1] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__0__le__add__iff_1) ).
fof(f2290,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),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(X2,c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(resolution,[],[f386,f684]) ).
fof(f2681,plain,
( ~ spl0_78
| ~ spl0_109 ),
inference(avatar_contradiction_clause,[],[f2680]) ).
fof(f2680,plain,
( $false
| ~ spl0_78
| ~ spl0_109 ),
inference(resolution,[],[f1654,f1488]) ).
fof(f1488,plain,
( ! [X0] : ~ class_RealVector_Oreal__normed__vector(X0)
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f1487]) ).
fof(f1487,plain,
( spl0_78
<=> ! [X0] : ~ class_RealVector_Oreal__normed__vector(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f1654,plain,
( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f1652]) ).
fof(f1652,plain,
( spl0_109
<=> class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f2676,plain,
( spl0_223
| ~ spl0_224
| spl0_201 ),
inference(avatar_split_clause,[],[f2667,f2420,f2673,f2669]) ).
fof(f2669,plain,
( spl0_223
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
fof(f2673,plain,
( spl0_224
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
fof(f2420,plain,
( spl0_201
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f2667,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)
| spl0_201 ),
inference(resolution,[],[f2422,f666]) ).
fof(f2422,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_201 ),
inference(avatar_component_clause,[],[f2420]) ).
fof(f2665,plain,
( spl0_222
| ~ spl0_198
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f2660,f2471,f2278,f2662]) ).
fof(f2662,plain,
( spl0_222
<=> c_lessequals(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_222])]) ).
fof(f2278,plain,
( spl0_198
<=> ! [X2] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f2660,plain,
( c_lessequals(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_198
| ~ spl0_208 ),
inference(forward_demodulation,[],[f2650,f2473]) ).
fof(f2650,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(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_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)
| ~ spl0_198 ),
inference(resolution,[],[f2279,f406]) ).
fof(f406,axiom,
! [X2,X1] :
( ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,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(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__le__add__half__cancel_1) ).
fof(f2279,plain,
( ! [X2] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f2278]) ).
fof(f2647,plain,
( spl0_221
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f2639,f2130,f2644]) ).
fof(f2644,plain,
( spl0_221
<=> c_lessequals(c_HOL_Ouminus__class_Ouminus(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_221])]) ).
fof(f2639,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_193 ),
inference(superposition,[],[f2170,f2132]) ).
fof(f2170,plain,
! [X0] : c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal),
inference(resolution,[],[f400,f19]) ).
fof(f400,axiom,
! [X1,X27] :
( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X27,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X27,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__le__interval__iff_0) ).
fof(f2627,plain,
( ~ spl0_217
| spl0_220
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f2606,f2120,f2625,f2612]) ).
fof(f2612,plain,
( spl0_217
<=> c_lessequals(v_sko__CHAINED__1(v_p,v_s____,v_z____),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f2625,plain,
( spl0_220
<=> ! [X2] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(v_sko__CHAINED__1(v_p,v_s____,v_z____),X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f2120,plain,
( spl0_192
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f2606,plain,
( ! [X2] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(v_sko__CHAINED__1(v_p,v_s____,v_z____),X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(v_sko__CHAINED__1(v_p,v_s____,v_z____),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) )
| ~ spl0_192 ),
inference(resolution,[],[f2122,f383]) ).
fof(f383,axiom,
! [X2,X1] :
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,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(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__0__le__divide__iff_2) ).
fof(f2122,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)
| ~ spl0_192 ),
inference(avatar_component_clause,[],[f2120]) ).
fof(f2623,plain,
( spl0_219
| ~ spl0_217
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f2610,f2120,f2612,f2620]) ).
fof(f2620,plain,
( spl0_219
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = v_sko__CHAINED__1(v_p,v_s____,v_z____) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f2610,plain,
( ~ c_lessequals(v_sko__CHAINED__1(v_p,v_s____,v_z____),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = v_sko__CHAINED__1(v_p,v_s____,v_z____)
| ~ spl0_192 ),
inference(resolution,[],[f2122,f235]) ).
fof(f2618,plain,
( ~ spl0_217
| spl0_218
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f2604,f2120,f2616,f2612]) ).
fof(f2616,plain,
( spl0_218
<=> ! [X0] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f2604,plain,
( ! [X0] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(v_sko__CHAINED__1(v_p,v_s____,v_z____),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) )
| ~ spl0_192 ),
inference(resolution,[],[f2122,f386]) ).
fof(f2573,plain,
( spl0_198
| spl0_216
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f2572,f1408,f2569,f2278]) ).
fof(f2569,plain,
( spl0_216
<=> ! [X0] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f1408,plain,
( spl0_63
<=> ! [X38] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X38,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X38),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f2572,plain,
( ! [X4,X5] :
( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X4),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal),tc_RealDef_Oreal) )
| ~ spl0_63 ),
inference(forward_subsumption_demodulation,[],[f2559,f2563]) ).
fof(f2563,plain,
( ! [X12] :
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X12),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X12),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X12,tc_RealDef_Oreal) )
| ~ spl0_63 ),
inference(resolution,[],[f2113,f235]) ).
fof(f2113,plain,
( ! [X1] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X1),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) )
| ~ spl0_63 ),
inference(resolution,[],[f665,f1409]) ).
fof(f1409,plain,
( ! [X38] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X38),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X38,tc_RealDef_Oreal) )
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f1408]) ).
fof(f2559,plain,
( ! [X4,X5] :
( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X4),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),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(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X4),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) )
| ~ spl0_63 ),
inference(resolution,[],[f2113,f383]) ).
fof(f2571,plain,
( spl0_215
| spl0_216
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f2564,f1408,f2569,f2566]) ).
fof(f2564,plain,
( ! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) )
| ~ spl0_63 ),
inference(backward_subsumption_demodulation,[],[f2557,f2563]) ).
fof(f2557,plain,
( ! [X0,X1] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) )
| ~ spl0_63 ),
inference(resolution,[],[f2113,f386]) ).
fof(f2548,plain,
( spl0_214
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f2547,f2521,f2542]) ).
fof(f2542,plain,
( spl0_214
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(v_sko__CHAINED__1(v_p,v_s____,v_z____)),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f2521,plain,
( spl0_210
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(v_sko__CHAINED__1(v_p,v_s____,v_z____)),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f2547,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(v_sko__CHAINED__1(v_p,v_s____,v_z____)),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ spl0_210 ),
inference(resolution,[],[f2522,f665]) ).
fof(f2522,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(v_sko__CHAINED__1(v_p,v_s____,v_z____)),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ spl0_210 ),
inference(avatar_component_clause,[],[f2521]) ).
fof(f2545,plain,
( spl0_213
| ~ spl0_214
| spl0_210 ),
inference(avatar_split_clause,[],[f2535,f2521,f2542,f2538]) ).
fof(f2538,plain,
( spl0_213
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(v_sko__CHAINED__1(v_p,v_s____,v_z____)),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f2535,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(v_sko__CHAINED__1(v_p,v_s____,v_z____)),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(v_sko__CHAINED__1(v_p,v_s____,v_z____)),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| spl0_210 ),
inference(resolution,[],[f2523,f666]) ).
fof(f2523,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(v_sko__CHAINED__1(v_p,v_s____,v_z____)),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| spl0_210 ),
inference(avatar_component_clause,[],[f2521]) ).
fof(f2536,plain,
( ~ spl0_123
| ~ spl0_63
| spl0_210 ),
inference(avatar_split_clause,[],[f2534,f2521,f1408,f1734]) ).
fof(f2534,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)
| ~ spl0_63
| spl0_210 ),
inference(resolution,[],[f2523,f1409]) ).
fof(f2533,plain,
( ~ spl0_123
| ~ spl0_211
| spl0_212
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f2514,f2016,f2530,f2526,f1734]) ).
fof(f2526,plain,
( spl0_211
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(v_sko__CHAINED__1(v_p,v_s____,v_z____),v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f2016,plain,
( spl0_176
<=> ! [X8] :
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X8,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X8,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f2514,plain,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_sko__local__Xthat__1(v_sko__CHAINED__1(v_p,v_s____,v_z____),v_p,v_s____,v_z____),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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(v_sko__CHAINED__1(v_p,v_s____,v_z____),v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)
| ~ spl0_176 ),
inference(resolution,[],[f1732,f2017]) ).
fof(f2017,plain,
( ! [X8] :
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X8,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X8,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal) )
| ~ spl0_176 ),
inference(avatar_component_clause,[],[f2016]) ).
fof(f1732,plain,
! [X3] :
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X3,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X3,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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X3,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(forward_demodulation,[],[f915,f1624]) ).
fof(f915,axiom,
! [X3] :
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X3,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(X3,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X3,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_1) ).
fof(f2524,plain,
( spl0_209
| ~ spl0_123
| ~ spl0_210
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f2513,f1115,f2521,f1734,f2517]) ).
fof(f1115,plain,
( spl0_5
<=> ! [X38] :
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X38),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X38,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X38,tc_RealDef_Oreal) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f2513,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(v_sko__CHAINED__1(v_p,v_s____,v_z____)),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(v_sko__CHAINED__1(v_p,v_s____,v_z____)),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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_5 ),
inference(resolution,[],[f1732,f1116]) ).
fof(f1116,plain,
( ! [X38] :
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X38),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X38,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X38,tc_RealDef_Oreal) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f1115]) ).
fof(f2474,plain,
spl0_208,
inference(avatar_split_clause,[],[f2469,f2471]) ).
fof(f2469,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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f2462,f2138]) ).
fof(f2138,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(X0,X0,tc_RealDef_Oreal),
inference(superposition,[],[f397,f389]) ).
fof(f389,axiom,
! [X1] : c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__add__eq__0__iff_1) ).
fof(f2462,plain,
! [X3] : c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X3,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(X3,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_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X3,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(X3,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(superposition,[],[f742,f730]) ).
fof(f742,axiom,
! [X7,X5] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X7,X5,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X7,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X5,X7,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/sandbox2/benchmark/theBenchmark.p',cls_real__average__minus__first_0) ).
fof(f2448,plain,
( spl0_207
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f2443,f2057,f2445]) ).
fof(f2443,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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_183 ),
inference(resolution,[],[f2059,f665]) ).
fof(f2442,plain,
( spl0_206
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f2414,f2420,f2440]) ).
fof(f2440,plain,
( spl0_206
<=> ! [X41,X40,X39] :
( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X39,X40,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X41,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X39,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X40,tc_RealDef_Oreal),tc_RealDef_Oreal),X41,tc_RealDef_Oreal) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f2414,plain,
! [X40,X41,X39] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X39,X40,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X41,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X39,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X40,tc_RealDef_Oreal),tc_RealDef_Oreal),X41,tc_RealDef_Oreal) ),
inference(superposition,[],[f657,f732]) ).
fof(f732,axiom,
! [X2,X4] : 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(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(X2,X4,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__divide__2__times__iff_0) ).
fof(f657,axiom,
! [X2,X1,X4] :
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__le__cancel__iff2_0) ).
fof(f2438,plain,
( ~ spl0_201
| spl0_205 ),
inference(avatar_split_clause,[],[f2409,f2436,f2420]) ).
fof(f2436,plain,
( spl0_205
<=> ! [X25,X26] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X25,X26,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X25,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X26,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f2409,plain,
! [X26,X25] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X25,X26,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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X25,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X26,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(superposition,[],[f359,f732]) ).
fof(f359,axiom,
! [X2,X1] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__order_0) ).
fof(f2434,plain,
( ~ spl0_201
| spl0_204 ),
inference(avatar_split_clause,[],[f2408,f2432,f2420]) ).
fof(f2432,plain,
( spl0_204
<=> ! [X22,X24,X23] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X24,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X22,X23,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X24,c_HOL_Oinverse__class_Odivide(X22,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X23,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f2408,plain,
! [X24,X22,X23] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X24,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X22,X23,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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X24,c_HOL_Oinverse__class_Odivide(X22,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X23,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(superposition,[],[f354,f732]) ).
fof(f354,axiom,
! [X2,X1,X4] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__less__mono2_0) ).
fof(f2430,plain,
( spl0_203
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f2407,f2420,f2428]) ).
fof(f2428,plain,
( spl0_203
<=> ! [X20,X21,X19] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X19,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X20,tc_RealDef_Oreal),tc_RealDef_Oreal),X21,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X19,X20,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X21,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f2407,plain,
! [X21,X19,X20] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X19,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X20,tc_RealDef_Oreal),tc_RealDef_Oreal),X21,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X19,X20,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X21,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(superposition,[],[f354,f732]) ).
fof(f2426,plain,
( ~ spl0_201
| spl0_202 ),
inference(avatar_split_clause,[],[f2415,f2424,f2420]) ).
fof(f2424,plain,
( spl0_202
<=> ! [X43,X44,X42] :
( c_lessequals(X44,c_HOL_Oinverse__class_Odivide(X42,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X43,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X44,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X42,X43,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f2415,plain,
! [X44,X42,X43] :
( c_lessequals(X44,c_HOL_Oinverse__class_Odivide(X42,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X43,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),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(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(superposition,[],[f657,f732]) ).
fof(f2397,plain,
( ~ spl0_64
| spl0_200
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f2393,f1641,f2395,f1413]) ).
fof(f2395,plain,
( spl0_200
<=> ! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f1641,plain,
( spl0_107
<=> class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f2393,plain,
( ! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) )
| ~ spl0_107 ),
inference(resolution,[],[f854,f1643]) ).
fof(f1643,plain,
( class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f1641]) ).
fof(f854,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__field(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__div__pos_0) ).
fof(f2374,plain,
( spl0_199
| ~ spl0_64
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f2370,f1641,f1413,f2372]) ).
fof(f2372,plain,
( spl0_199
<=> ! [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_199])]) ).
fof(f2370,plain,
( ! [X0,X1] :
( ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| 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) )
| ~ spl0_107 ),
inference(resolution,[],[f897,f1643]) ).
fof(f897,axiom,
! [X0,X7,X5] :
( ~ class_Ring__and__Field_Oordered__field(X0)
| c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X7,X5,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X7,X0),c_HOL_Oabs__class_Oabs(X5,X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__divide_0) ).
fof(f2281,plain,
( ~ spl0_77
| spl0_198 ),
inference(avatar_split_clause,[],[f2270,f2278,f1483]) ).
fof(f2270,plain,
! [X3] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(resolution,[],[f383,f19]) ).
fof(f2280,plain,
( spl0_197
| spl0_198 ),
inference(avatar_split_clause,[],[f2273,f2278,f2275]) ).
fof(f2273,plain,
! [X2,X0,X1] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(forward_subsumption_demodulation,[],[f2269,f2208]) ).
fof(f2269,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(resolution,[],[f383,f684]) ).
fof(f2256,plain,
( spl0_196
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f2251,f2063,f2253]) ).
fof(f2251,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_184 ),
inference(resolution,[],[f2065,f665]) ).
fof(f2152,plain,
( spl0_194
| ~ spl0_195
| spl0_143 ),
inference(avatar_split_clause,[],[f2143,f1838,f2149,f2145]) ).
fof(f2145,plain,
( spl0_194
<=> 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_194])]) ).
fof(f2149,plain,
( spl0_195
<=> 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_195])]) ).
fof(f1838,plain,
( spl0_143
<=> 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_143])]) ).
fof(f2143,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_143 ),
inference(resolution,[],[f666,f1840]) ).
fof(f1840,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_143 ),
inference(avatar_component_clause,[],[f1838]) ).
fof(f2133,plain,
spl0_193,
inference(avatar_split_clause,[],[f2127,f2130]) ).
fof(f2127,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,[],[f795,f783]) ).
fof(f783,axiom,
! [X1] : ~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__less__def_1) ).
fof(f2123,plain,
( spl0_192
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f2118,f1734,f2120]) ).
fof(f2118,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)
| ~ spl0_123 ),
inference(resolution,[],[f1736,f665]) ).
fof(f1736,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f1734]) ).
fof(f2108,plain,
( spl0_191
| ~ spl0_182
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f2103,f2069,f2049,f2105]) ).
fof(f2105,plain,
( spl0_191
<=> c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Transcendental_Ocos(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)),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f2049,plain,
( spl0_182
<=> c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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_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),tc_RealDef_Oreal)),c_Transcendental_Ocos(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)),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f2069,plain,
( spl0_185
<=> c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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_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),tc_RealDef_Oreal)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f2103,plain,
( c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Transcendental_Ocos(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)),tc_RealDef_Oreal)
| ~ spl0_182
| ~ spl0_185 ),
inference(backward_demodulation,[],[f2051,f2071]) ).
fof(f2071,plain,
( c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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_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),tc_RealDef_Oreal))
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f2069]) ).
fof(f2051,plain,
( c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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_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),tc_RealDef_Oreal)),c_Transcendental_Ocos(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)),tc_RealDef_Oreal)
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f2049]) ).
fof(f2102,plain,
( spl0_190
| ~ spl0_3
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f2097,f1817,f1106,f2099]) ).
fof(f2099,plain,
( spl0_190
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f1106,plain,
( spl0_3
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1817,plain,
( spl0_139
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Transcendental_Ocos(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f2097,plain,
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),tc_RealDef_Oreal)
| ~ spl0_3
| ~ spl0_139 ),
inference(backward_demodulation,[],[f1819,f1108]) ).
fof(f1108,plain,
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f1106]) ).
fof(f1819,plain,
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Transcendental_Ocos(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),tc_RealDef_Oreal)
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f1817]) ).
fof(f2096,plain,
( spl0_189
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f2091,f1096,f2093]) ).
fof(f2093,plain,
( spl0_189
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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_HOL_Otimes__class_Otimes(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)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f1096,plain,
( spl0_1
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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_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)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f2091,plain,
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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_HOL_Otimes__class_Otimes(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))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1098,f270]) ).
fof(f270,axiom,
! [X3,X4] : c_HOL_Otimes__class_Otimes(X4,X3,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X3,X4,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__commute_0) ).
fof(f1098,plain,
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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_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))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f1096]) ).
fof(f2090,plain,
( spl0_188
| ~ spl0_52
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f2085,f1428,f1352,f2087]) ).
fof(f2087,plain,
( spl0_188
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(c_Transcendental_Opi),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f1352,plain,
( spl0_52
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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_Transcendental_Opi,tc_RealDef_Oreal)),c_Transcendental_Ocos(c_Transcendental_Opi),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f1428,plain,
( spl0_67
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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_Transcendental_Opi,tc_RealDef_Oreal)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f2085,plain,
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(c_Transcendental_Opi),tc_RealDef_Oreal)
| ~ spl0_52
| ~ spl0_67 ),
inference(forward_demodulation,[],[f1354,f1430]) ).
fof(f1430,plain,
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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_Transcendental_Opi,tc_RealDef_Oreal))
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f1428]) ).
fof(f1354,plain,
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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_Transcendental_Opi,tc_RealDef_Oreal)),c_Transcendental_Ocos(c_Transcendental_Opi),tc_RealDef_Oreal)
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f1352]) ).
fof(f2084,plain,
( spl0_187
| ~ spl0_16
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f2079,f1985,f1169,f2081]) ).
fof(f2081,plain,
( spl0_187
<=> c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(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)) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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_HOL_Oinverse__class_Odivide(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),tc_RealDef_Oreal)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f1169,plain,
( spl0_16
<=> c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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_HOL_Oinverse__class_Odivide(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),tc_RealDef_Oreal)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1985,plain,
( spl0_170
<=> c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(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)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f2079,plain,
( c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(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)) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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_HOL_Oinverse__class_Odivide(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),tc_RealDef_Oreal))
| ~ spl0_16
| ~ spl0_170 ),
inference(forward_demodulation,[],[f1171,f1987]) ).
fof(f1987,plain,
( c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(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))
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f1985]) ).
fof(f1171,plain,
( c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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_HOL_Oinverse__class_Odivide(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),tc_RealDef_Oreal))
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f2078,plain,
( spl0_186
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f2073,f1312,f2075]) ).
fof(f2075,plain,
( spl0_186
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_HOL_Oinverse__class_Odivide(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),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)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f1312,plain,
( spl0_44
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f2073,plain,
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_HOL_Oinverse__class_Odivide(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),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))
| ~ spl0_44 ),
inference(forward_demodulation,[],[f1314,f270]) ).
fof(f1314,plain,
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal))
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f1312]) ).
fof(f2072,plain,
( spl0_185
| ~ spl0_120
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f2067,f1947,f1715,f2069]) ).
fof(f1715,plain,
( spl0_120
<=> c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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_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),tc_RealDef_Oreal)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f1947,plain,
( spl0_163
<=> c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f2067,plain,
( c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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_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),tc_RealDef_Oreal))
| ~ spl0_120
| ~ spl0_163 ),
inference(forward_demodulation,[],[f1717,f1949]) ).
fof(f1949,plain,
( c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal))
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f1947]) ).
fof(f1717,plain,
( c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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_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),tc_RealDef_Oreal))
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f1715]) ).
fof(f2066,plain,
( spl0_184
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f2061,f1134,f2063]) ).
fof(f1134,plain,
( spl0_9
<=> 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_9])]) ).
fof(f2061,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_9 ),
inference(forward_demodulation,[],[f1136,f1624]) ).
fof(f1136,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_9 ),
inference(avatar_component_clause,[],[f1134]) ).
fof(f2060,plain,
( spl0_183
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f2055,f1501,f2057]) ).
fof(f1501,plain,
( spl0_81
<=> 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) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f2055,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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_81 ),
inference(forward_demodulation,[],[f1503,f1624]) ).
fof(f1503,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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f1501]) ).
fof(f2052,plain,
spl0_182,
inference(avatar_split_clause,[],[f1063,f2049]) ).
fof(f1063,plain,
c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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_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),tc_RealDef_Oreal)),c_Transcendental_Ocos(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)),tc_RealDef_Oreal),
inference(definition_unfolding,[],[f696,f1056]) ).
fof(f1056,plain,
! [X1] : c_Transcendental_Otan(X1) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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),X1,tc_RealDef_Oreal)),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),
inference(definition_unfolding,[],[f52,f387]) ).
fof(f387,axiom,
! [X1] : c_Transcendental_Osin(X1) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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),X1,tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__cos__eq_0) ).
fof(f52,axiom,
! [X1] : c_Transcendental_Otan(X1) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(X1),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tan__def_0) ).
fof(f696,axiom,
c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)) = 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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tan__60_0) ).
fof(f2047,plain,
spl0_181,
inference(avatar_split_clause,[],[f1024,f2044]) ).
fof(f2044,plain,
( spl0_181
<=> class_Int_Onumber__ring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f1024,axiom,
class_Int_Onumber__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Int_Onumber__ring) ).
fof(f2042,plain,
spl0_180,
inference(avatar_split_clause,[],[f1032,f2039]) ).
fof(f1032,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero) ).
fof(f2034,plain,
spl0_179,
inference(avatar_split_clause,[],[f964,f2031]) ).
fof(f2031,plain,
( spl0_179
<=> class_Orderings_Olinorder(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f964,axiom,
class_Orderings_Olinorder(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Orderings_Olinorder) ).
fof(f2029,plain,
spl0_178,
inference(avatar_split_clause,[],[f1046,f2026]) ).
fof(f2026,plain,
( spl0_178
<=> class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f1046,axiom,
class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring) ).
fof(f2024,plain,
spl0_177,
inference(avatar_split_clause,[],[f1028,f2021]) ).
fof(f2021,plain,
( spl0_177
<=> class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f1028,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra) ).
fof(f2018,plain,
( spl0_4
| spl0_176 ),
inference(avatar_split_clause,[],[f748,f2016,f1111]) ).
fof(f1111,plain,
( spl0_4
<=> v_thesis____ ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f748,axiom,
! [X8] :
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X8,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X8,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
| v_thesis____ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_1) ).
fof(f2014,plain,
spl0_175,
inference(avatar_split_clause,[],[f937,f2011]) ).
fof(f2011,plain,
( spl0_175
<=> class_Ring__and__Field_Opordered__semiring(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f937,axiom,
class_Ring__and__Field_Opordered__semiring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Opordered__semiring) ).
fof(f2009,plain,
spl0_174,
inference(avatar_split_clause,[],[f984,f2006]) ).
fof(f2006,plain,
( spl0_174
<=> class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f984,axiom,
class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add) ).
fof(f2004,plain,
spl0_173,
inference(avatar_split_clause,[],[f986,f2001]) ).
fof(f2001,plain,
( spl0_173
<=> class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f986,axiom,
class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring) ).
fof(f1999,plain,
spl0_172,
inference(avatar_split_clause,[],[f973,f1996]) ).
fof(f1996,plain,
( spl0_172
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f973,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict) ).
fof(f1994,plain,
spl0_171,
inference(avatar_split_clause,[],[f922,f1991]) ).
fof(f1991,plain,
( spl0_171
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f922,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le) ).
fof(f1988,plain,
spl0_170,
inference(avatar_split_clause,[],[f115,f1985]) ).
fof(f115,axiom,
c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(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/sandbox2/benchmark/theBenchmark.p',cls_cos__45_0) ).
fof(f1983,plain,
spl0_169,
inference(avatar_split_clause,[],[f741,f1980]) ).
fof(f1980,plain,
( spl0_169
<=> 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) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f741,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/sandbox2/benchmark/theBenchmark.p',cls_pi__half__less__two_0) ).
fof(f1978,plain,
spl0_168,
inference(avatar_split_clause,[],[f938,f1975]) ).
fof(f1975,plain,
( spl0_168
<=> class_Ring__and__Field_Opordered__ring__abs(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f938,axiom,
class_Ring__and__Field_Opordered__ring__abs(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Opordered__ring__abs) ).
fof(f1972,plain,
spl0_167,
inference(avatar_split_clause,[],[f956,f1969]) ).
fof(f1969,plain,
( spl0_167
<=> class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f956,axiom,
class_OrderedGroup_Omonoid__mult(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Omonoid__mult) ).
fof(f1967,plain,
spl0_166,
inference(avatar_split_clause,[],[f1038,f1964]) ).
fof(f1964,plain,
( spl0_166
<=> class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f1038,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add) ).
fof(f1962,plain,
spl0_165,
inference(avatar_split_clause,[],[f1026,f1959]) ).
fof(f1959,plain,
( spl0_165
<=> class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f1026,axiom,
class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors) ).
fof(f1957,plain,
spl0_164,
inference(avatar_split_clause,[],[f995,f1954]) ).
fof(f1954,plain,
( spl0_164
<=> class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f995,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult) ).
fof(f1950,plain,
spl0_163,
inference(avatar_split_clause,[],[f116,f1947]) ).
fof(f116,axiom,
c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cos__30_0) ).
fof(f1944,plain,
spl0_162,
inference(avatar_split_clause,[],[f1005,f1941]) ).
fof(f1941,plain,
( spl0_162
<=> class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f1005,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one) ).
fof(f1939,plain,
spl0_161,
inference(avatar_split_clause,[],[f999,f1936]) ).
fof(f1936,plain,
( spl0_161
<=> class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f999,axiom,
class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring) ).
fof(f1934,plain,
spl0_160,
inference(avatar_split_clause,[],[f950,f1931]) ).
fof(f1931,plain,
( spl0_160
<=> class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f950,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one) ).
fof(f1927,plain,
spl0_159,
inference(avatar_split_clause,[],[f1014,f1924]) ).
fof(f1924,plain,
( spl0_159
<=> class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f1014,axiom,
class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add) ).
fof(f1921,plain,
spl0_158,
inference(avatar_split_clause,[],[f952,f1918]) ).
fof(f1918,plain,
( spl0_158
<=> class_Ring__and__Field_Omult__mono1(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f952,axiom,
class_Ring__and__Field_Omult__mono1(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Omult__mono1) ).
fof(f1915,plain,
spl0_157,
inference(avatar_split_clause,[],[f1055,f1912]) ).
fof(f1912,plain,
( spl0_157
<=> class_Int_Onumber(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f1055,axiom,
class_Int_Onumber(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Int_Onumber) ).
fof(f1910,plain,
spl0_156,
inference(avatar_split_clause,[],[f996,f1907]) ).
fof(f1907,plain,
( spl0_156
<=> class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f996,axiom,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector) ).
fof(f1905,plain,
spl0_155,
inference(avatar_split_clause,[],[f946,f1902]) ).
fof(f1902,plain,
( spl0_155
<=> class_Ring__and__Field_Opordered__ring(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f946,axiom,
class_Ring__and__Field_Opordered__ring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Opordered__ring) ).
fof(f1900,plain,
spl0_154,
inference(avatar_split_clause,[],[f1012,f1897]) ).
fof(f1897,plain,
( spl0_154
<=> class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f1012,axiom,
class_Ring__and__Field_Osemiring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Osemiring) ).
fof(f1895,plain,
spl0_153,
inference(avatar_split_clause,[],[f978,f1892]) ).
fof(f1892,plain,
( spl0_153
<=> class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f978,axiom,
class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors) ).
fof(f1886,plain,
spl0_152,
inference(avatar_split_clause,[],[f977,f1883]) ).
fof(f1883,plain,
( spl0_152
<=> class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f977,axiom,
class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add) ).
fof(f1881,plain,
spl0_151,
inference(avatar_split_clause,[],[f967,f1878]) ).
fof(f1878,plain,
( spl0_151
<=> class_Int_Onumber__ring(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f967,axiom,
class_Int_Onumber__ring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Int_Onumber__ring) ).
fof(f1876,plain,
spl0_150,
inference(avatar_split_clause,[],[f1016,f1873]) ).
fof(f1873,plain,
( spl0_150
<=> class_RealVector_Oreal__field(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f1016,axiom,
class_RealVector_Oreal__field(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__field) ).
fof(f1871,plain,
spl0_149,
inference(avatar_split_clause,[],[f981,f1868]) ).
fof(f1868,plain,
( spl0_149
<=> class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f981,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra) ).
fof(f1866,plain,
spl0_148,
inference(avatar_split_clause,[],[f746,f1863]) ).
fof(f1863,plain,
( spl0_148
<=> 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) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f746,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/sandbox2/benchmark/theBenchmark.p',cls_pi__half__gt__zero_0) ).
fof(f1861,plain,
spl0_147,
inference(avatar_split_clause,[],[f1006,f1858]) ).
fof(f1858,plain,
( spl0_147
<=> class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f1006,axiom,
class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom) ).
fof(f1856,plain,
spl0_146,
inference(avatar_split_clause,[],[f988,f1853]) ).
fof(f1853,plain,
( spl0_146
<=> class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f988,axiom,
class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1) ).
fof(f1851,plain,
spl0_145,
inference(avatar_split_clause,[],[f1053,f1848]) ).
fof(f1848,plain,
( spl0_145
<=> class_Int_Oring__char__0(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f1053,axiom,
class_Int_Oring__char__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Int_Oring__char__0) ).
fof(f1846,plain,
spl0_144,
inference(avatar_split_clause,[],[f929,f1843]) ).
fof(f1843,plain,
( spl0_144
<=> class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f929,axiom,
class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add) ).
fof(f1841,plain,
~ spl0_143,
inference(avatar_split_clause,[],[f368,f1838]) ).
fof(f368,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/sandbox2/benchmark/theBenchmark.p',cls_not__real__square__gt__zero_1) ).
fof(f1835,plain,
spl0_142,
inference(avatar_split_clause,[],[f928,f1832]) ).
fof(f1832,plain,
( spl0_142
<=> class_OrderedGroup_Olordered__ab__group__add__abs(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f928,axiom,
class_OrderedGroup_Olordered__ab__group__add__abs(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add__abs) ).
fof(f1830,plain,
spl0_141,
inference(avatar_split_clause,[],[f1034,f1827]) ).
fof(f1827,plain,
( spl0_141
<=> class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f1034,axiom,
class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra) ).
fof(f1825,plain,
spl0_140,
inference(avatar_split_clause,[],[f1045,f1822]) ).
fof(f1822,plain,
( spl0_140
<=> class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f1045,axiom,
class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult) ).
fof(f1820,plain,
spl0_139,
inference(avatar_split_clause,[],[f1085,f1817]) ).
fof(f1085,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Transcendental_Ocos(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),tc_RealDef_Oreal),
inference(definition_unfolding,[],[f621,f1056]) ).
fof(f621,axiom,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Otan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tan__zero_0) ).
fof(f1815,plain,
spl0_138,
inference(avatar_split_clause,[],[f955,f1812]) ).
fof(f1812,plain,
( spl0_138
<=> class_Ring__and__Field_Omult__mono(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f955,axiom,
class_Ring__and__Field_Omult__mono(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Omult__mono) ).
fof(f1810,plain,
spl0_137,
inference(avatar_split_clause,[],[f930,f1807]) ).
fof(f1807,plain,
( spl0_137
<=> class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f930,axiom,
class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oring__no__zero__divisors) ).
fof(f1805,plain,
spl0_136,
inference(avatar_split_clause,[],[f1022,f1802]) ).
fof(f1802,plain,
( spl0_136
<=> class_Orderings_Oorder(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f1022,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Oorder) ).
fof(f1800,plain,
~ spl0_135,
inference(avatar_split_clause,[],[f728,f1797]) ).
fof(f1797,plain,
( spl0_135
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f728,axiom,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cos__two__neq__zero_0) ).
fof(f1795,plain,
spl0_134,
inference(avatar_split_clause,[],[f1002,f1792]) ).
fof(f1792,plain,
( spl0_134
<=> class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f1002,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring) ).
fof(f1790,plain,
spl0_133,
inference(avatar_split_clause,[],[f985,f1787]) ).
fof(f1787,plain,
( spl0_133
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f985,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add) ).
fof(f1785,plain,
~ spl0_132,
inference(avatar_split_clause,[],[f356,f1782]) ).
fof(f1782,plain,
( spl0_132
<=> 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_132])]) ).
fof(f356,axiom,
~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pi__not__less__zero_0) ).
fof(f1780,plain,
spl0_131,
inference(avatar_split_clause,[],[f969,f1777]) ).
fof(f1777,plain,
( spl0_131
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f969,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add) ).
fof(f1775,plain,
spl0_130,
inference(avatar_split_clause,[],[f1044,f1772]) ).
fof(f1772,plain,
( spl0_130
<=> class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f1044,axiom,
class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero) ).
fof(f1770,plain,
spl0_12,
inference(avatar_split_clause,[],[f790,f1149]) ).
fof(f1149,plain,
( spl0_12
<=> c_Int_OPls = c_Int_OBit0(c_Int_OPls) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f790,axiom,
c_Int_OPls = c_Int_OBit0(c_Int_OPls),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Bit0__Pls_0) ).
fof(f1768,plain,
spl0_129,
inference(avatar_split_clause,[],[f954,f1765]) ).
fof(f1765,plain,
( spl0_129
<=> class_Ring__and__Field_Omult__zero(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f954,axiom,
class_Ring__and__Field_Omult__zero(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Omult__zero) ).
fof(f1762,plain,
spl0_128,
inference(avatar_split_clause,[],[f925,f1759]) ).
fof(f1759,plain,
( spl0_128
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f925,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oordered__semiring__strict) ).
fof(f1757,plain,
spl0_127,
inference(avatar_split_clause,[],[f943,f1754]) ).
fof(f1754,plain,
( spl0_127
<=> class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f943,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Oab__semigroup__mult) ).
fof(f1752,plain,
spl0_126,
inference(avatar_split_clause,[],[f997,f1749]) ).
fof(f1749,plain,
( spl0_126
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f997,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult) ).
fof(f1747,plain,
spl0_125,
inference(avatar_split_clause,[],[f961,f1744]) ).
fof(f1744,plain,
( spl0_125
<=> class_Ring__and__Field_Oring(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f961,axiom,
class_Ring__and__Field_Oring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oring) ).
fof(f1742,plain,
spl0_124,
inference(avatar_split_clause,[],[f1007,f1739]) ).
fof(f1739,plain,
( spl0_124
<=> class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f1007,axiom,
class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1) ).
fof(f1737,plain,
spl0_123,
inference(avatar_split_clause,[],[f916,f1734]) ).
fof(f916,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f1729,plain,
( spl0_122
| spl0_4 ),
inference(avatar_split_clause,[],[f1725,f1111,f1727]) ).
fof(f1725,plain,
! [X38] :
( v_thesis____
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X38,tc_RealDef_Oreal) ),
inference(forward_demodulation,[],[f920,f1624]) ).
fof(f920,axiom,
! [X38] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X38,tc_RealDef_Oreal)
| v_thesis____
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1724,plain,
spl0_121,
inference(avatar_split_clause,[],[f1030,f1721]) ).
fof(f1721,plain,
( spl0_121
<=> class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f1030,axiom,
class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1) ).
fof(f1718,plain,
spl0_120,
inference(avatar_split_clause,[],[f1082,f1715]) ).
fof(f1082,plain,
c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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_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),tc_RealDef_Oreal)),
inference(definition_unfolding,[],[f14,f387]) ).
fof(f14,axiom,
c_Transcendental_Osin(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_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),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/sandbox2/benchmark/theBenchmark.p',cls_sin__60_0) ).
fof(f1713,plain,
spl0_119,
inference(avatar_split_clause,[],[f1003,f1710]) ).
fof(f1710,plain,
( spl0_119
<=> class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f1003,axiom,
class_RealVector_Oreal__normed__field(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__normed__field) ).
fof(f1708,plain,
spl0_118,
inference(avatar_split_clause,[],[f1050,f1705]) ).
fof(f1050,axiom,
class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ofield) ).
fof(f1703,plain,
spl0_117,
inference(avatar_split_clause,[],[f1019,f1700]) ).
fof(f1700,plain,
( spl0_117
<=> class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f1019,axiom,
class_Ring__and__Field_Oidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oidom) ).
fof(f1698,plain,
spl0_116,
inference(avatar_split_clause,[],[f1051,f1695]) ).
fof(f1695,plain,
( spl0_116
<=> class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f1051,axiom,
class_Ring__and__Field_Oring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oring) ).
fof(f1693,plain,
spl0_115,
inference(avatar_split_clause,[],[f932,f1690]) ).
fof(f1690,plain,
( spl0_115
<=> class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f932,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oordered__ring__strict) ).
fof(f1688,plain,
spl0_114,
inference(avatar_split_clause,[],[f1683,f1685]) ).
fof(f1685,plain,
( spl0_114
<=> 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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f1683,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_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
inference(forward_demodulation,[],[f569,f270]) ).
fof(f569,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/sandbox2/benchmark/theBenchmark.p',cls_m2pi__less__pi_0) ).
fof(f1682,plain,
spl0_113,
inference(avatar_split_clause,[],[f1042,f1679]) ).
fof(f1679,plain,
( spl0_113
<=> class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f1042,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one) ).
fof(f1677,plain,
spl0_112,
inference(avatar_split_clause,[],[f736,f1674]) ).
fof(f1674,plain,
( spl0_112
<=> 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) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f736,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/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__two__gt__zero_0) ).
fof(f1671,plain,
spl0_111,
inference(avatar_split_clause,[],[f962,f1668]) ).
fof(f1668,plain,
( spl0_111
<=> class_Ring__and__Field_Oidom(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f962,axiom,
class_Ring__and__Field_Oidom(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oidom) ).
fof(f1666,plain,
spl0_110,
inference(avatar_split_clause,[],[f735,f1663]) ).
fof(f1663,plain,
( spl0_110
<=> c_HOL_Oord__class_Oless(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f735,axiom,
c_HOL_Oord__class_Oless(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cos__two__less__zero_0) ).
fof(f1655,plain,
spl0_109,
inference(avatar_split_clause,[],[f1036,f1652]) ).
fof(f1036,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(f1650,plain,
spl0_108,
inference(avatar_split_clause,[],[f931,f1647]) ).
fof(f1647,plain,
( spl0_108
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f931,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add) ).
fof(f1644,plain,
spl0_107,
inference(avatar_split_clause,[],[f1000,f1641]) ).
fof(f1000,axiom,
class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field) ).
fof(f1639,plain,
spl0_106,
inference(avatar_split_clause,[],[f990,f1636]) ).
fof(f1636,plain,
( spl0_106
<=> class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f990,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors) ).
fof(f1634,plain,
spl0_105,
inference(avatar_split_clause,[],[f957,f1631]) ).
fof(f1631,plain,
( spl0_105
<=> class_Ring__and__Field_Osemiring(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f957,axiom,
class_Ring__and__Field_Osemiring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Osemiring) ).
fof(f1629,plain,
spl0_104,
inference(avatar_split_clause,[],[f939,f1626]) ).
fof(f1626,plain,
( spl0_104
<=> class_Ring__and__Field_Oordered__semiring(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f939,axiom,
class_Ring__and__Field_Oordered__semiring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oordered__semiring) ).
fof(f1617,plain,
~ spl0_103,
inference(avatar_split_clause,[],[f731,f1614]) ).
fof(f1614,plain,
( spl0_103
<=> 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) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f731,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/sandbox2/benchmark/theBenchmark.p',cls_pi__half__neq__two_0) ).
fof(f1612,plain,
spl0_102,
inference(avatar_split_clause,[],[f1041,f1609]) ).
fof(f1609,plain,
( spl0_102
<=> class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f1041,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add) ).
fof(f1606,plain,
spl0_101,
inference(avatar_split_clause,[],[f980,f1603]) ).
fof(f1603,plain,
( spl0_101
<=> class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f980,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict) ).
fof(f1601,plain,
spl0_100,
inference(avatar_split_clause,[],[f1031,f1598]) ).
fof(f1598,plain,
( spl0_100
<=> class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f1031,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors) ).
fof(f1596,plain,
spl0_99,
inference(avatar_split_clause,[],[f1029,f1593]) ).
fof(f1593,plain,
( spl0_99
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f1029,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add) ).
fof(f1591,plain,
spl0_98,
inference(avatar_split_clause,[],[f1043,f1588]) ).
fof(f1588,plain,
( spl0_98
<=> class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f1043,axiom,
class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add) ).
fof(f1586,plain,
spl0_97,
inference(avatar_split_clause,[],[f987,f1583]) ).
fof(f1583,plain,
( spl0_97
<=> class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f987,axiom,
class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs) ).
fof(f1581,plain,
spl0_96,
inference(avatar_split_clause,[],[f1004,f1578]) ).
fof(f1578,plain,
( spl0_96
<=> class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f1004,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add) ).
fof(f1576,plain,
spl0_95,
inference(avatar_split_clause,[],[f1049,f1573]) ).
fof(f1573,plain,
( spl0_95
<=> class_RealVector_Oreal__field(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f1049,axiom,
class_RealVector_Oreal__field(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__field) ).
fof(f1571,plain,
spl0_94,
inference(avatar_split_clause,[],[f729,f1568]) ).
fof(f1568,plain,
( spl0_94
<=> 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) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f729,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/sandbox2/benchmark/theBenchmark.p',cls_pi__less__4_0) ).
fof(f1566,plain,
spl0_93,
inference(avatar_split_clause,[],[f976,f1563]) ).
fof(f1563,plain,
( spl0_93
<=> class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f976,axiom,
class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs) ).
fof(f1561,plain,
spl0_92,
inference(avatar_split_clause,[],[f951,f1558]) ).
fof(f1558,plain,
( spl0_92
<=> class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f951,axiom,
class_Ring__and__Field_Oordered__idom(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oordered__idom) ).
fof(f1556,plain,
spl0_91,
inference(avatar_split_clause,[],[f1,f1553]) ).
fof(f1553,plain,
( spl0_91
<=> 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_91])]) ).
fof(f1,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/sandbox2/benchmark/theBenchmark.p',cls_real__two__squares__add__zero__iff_2) ).
fof(f1551,plain,
( spl0_4
| spl0_90 ),
inference(avatar_split_clause,[],[f749,f1549,f1111]) ).
fof(f1549,plain,
( spl0_90
<=> ! [X8] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X8,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f749,axiom,
! [X8] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
| v_thesis____
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X8,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).
fof(f1546,plain,
spl0_89,
inference(avatar_split_clause,[],[f1020,f1543]) ).
fof(f1543,plain,
( spl0_89
<=> class_Orderings_Opreorder(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f1020,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Opreorder) ).
fof(f1540,plain,
spl0_88,
inference(avatar_split_clause,[],[f944,f1537]) ).
fof(f1537,plain,
( spl0_88
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f944,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__mult) ).
fof(f1535,plain,
spl0_87,
inference(avatar_split_clause,[],[f945,f1532]) ).
fof(f1532,plain,
( spl0_87
<=> class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f945,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add) ).
fof(f1530,plain,
spl0_86,
inference(avatar_split_clause,[],[f1027,f1527]) ).
fof(f1527,plain,
( spl0_86
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f1027,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add) ).
fof(f1525,plain,
spl0_85,
inference(avatar_split_clause,[],[f1013,f1522]) ).
fof(f1522,plain,
( spl0_85
<=> class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f1013,axiom,
class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add) ).
fof(f1519,plain,
spl0_84,
inference(avatar_split_clause,[],[f1039,f1516]) ).
fof(f1516,plain,
( spl0_84
<=> class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f1039,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring) ).
fof(f1514,plain,
spl0_83,
inference(avatar_split_clause,[],[f923,f1511]) ).
fof(f1511,plain,
( spl0_83
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f923,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oordered__comm__semiring__strict) ).
fof(f1509,plain,
spl0_82,
inference(avatar_split_clause,[],[f407,f1506]) ).
fof(f1506,plain,
( spl0_82
<=> 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) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f407,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/sandbox2/benchmark/theBenchmark.p',cls_pi__half__le__two_0) ).
fof(f1504,plain,
spl0_81,
inference(avatar_split_clause,[],[f849,f1501]) ).
fof(f849,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/sandbox2/benchmark/theBenchmark.p',cls_e2_0) ).
fof(f1499,plain,
spl0_80,
inference(avatar_split_clause,[],[f1033,f1496]) ).
fof(f1496,plain,
( spl0_80
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f1033,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).
fof(f1494,plain,
spl0_79,
inference(avatar_split_clause,[],[f960,f1491]) ).
fof(f1491,plain,
( spl0_79
<=> class_Ring__and__Field_Oabs__if(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f960,axiom,
class_Ring__and__Field_Oabs__if(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oabs__if) ).
fof(f1489,plain,
( spl0_77
| spl0_78 ),
inference(avatar_split_clause,[],[f1480,f1487,f1483]) ).
fof(f1480,plain,
! [X0] :
( ~ class_RealVector_Oreal__normed__vector(X0)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(backward_subsumption_demodulation,[],[f566,f776]) ).
fof(f776,axiom,
! [X0] :
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0)
| ~ class_RealVector_Oreal__normed__vector(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__zero_0) ).
fof(f566,axiom,
! [X0] :
( ~ class_RealVector_Oreal__normed__vector(X0)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__le__zero__iff_1) ).
fof(f1478,plain,
spl0_76,
inference(avatar_split_clause,[],[f370,f1475]) ).
fof(f1475,plain,
( spl0_76
<=> 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_76])]) ).
fof(f370,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pi__gt__zero_0) ).
fof(f1473,plain,
spl0_75,
inference(avatar_split_clause,[],[f970,f1470]) ).
fof(f1470,plain,
( spl0_75
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f970,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le) ).
fof(f1468,plain,
spl0_74,
inference(avatar_split_clause,[],[f941,f1465]) ).
fof(f1465,plain,
( spl0_74
<=> class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f941,axiom,
class_Ring__and__Field_Oordered__semidom(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oordered__semidom) ).
fof(f1463,plain,
spl0_73,
inference(avatar_split_clause,[],[f927,f1460]) ).
fof(f1460,plain,
( spl0_73
<=> class_OrderedGroup_Opordered__ab__group__add__abs(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f927,axiom,
class_OrderedGroup_Opordered__ab__group__add__abs(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add__abs) ).
fof(f1458,plain,
spl0_72,
inference(avatar_split_clause,[],[f993,f1455]) ).
fof(f1455,plain,
( spl0_72
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f993,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1) ).
fof(f1453,plain,
spl0_71,
inference(avatar_split_clause,[],[f942,f1450]) ).
fof(f1450,plain,
( spl0_71
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f942,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1) ).
fof(f1448,plain,
~ spl0_70,
inference(avatar_split_clause,[],[f738,f1445]) ).
fof(f1445,plain,
( spl0_70
<=> 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) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f738,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/sandbox2/benchmark/theBenchmark.p',cls_pi__half__neq__zero_0) ).
fof(f1443,plain,
spl0_69,
inference(avatar_split_clause,[],[f924,f1440]) ).
fof(f1440,plain,
( spl0_69
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f924,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Opordered__cancel__semiring) ).
fof(f1436,plain,
spl0_68,
inference(avatar_split_clause,[],[f1040,f1433]) ).
fof(f1433,plain,
( spl0_68
<=> class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f1040,axiom,
class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field) ).
fof(f1431,plain,
spl0_67,
inference(avatar_split_clause,[],[f1062,f1428]) ).
fof(f1062,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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_Transcendental_Opi,tc_RealDef_Oreal)),
inference(definition_unfolding,[],[f286,f387]) ).
fof(f286,axiom,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Osin(c_Transcendental_Opi),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__pi_0) ).
fof(f1426,plain,
spl0_66,
inference(avatar_split_clause,[],[f959,f1423]) ).
fof(f1423,plain,
( spl0_66
<=> class_OrderedGroup_Ogroup__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f959,axiom,
class_OrderedGroup_Ogroup__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ogroup__add) ).
fof(f1421,plain,
spl0_65,
inference(avatar_split_clause,[],[f963,f1418]) ).
fof(f1418,plain,
( spl0_65
<=> class_Orderings_Opreorder(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f963,axiom,
class_Orderings_Opreorder(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Orderings_Opreorder) ).
fof(f1416,plain,
spl0_64,
inference(avatar_split_clause,[],[f991,f1413]) ).
fof(f991,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero) ).
fof(f1410,plain,
( spl0_4
| spl0_63 ),
inference(avatar_split_clause,[],[f918,f1408,f1111]) ).
fof(f918,axiom,
! [X38] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X38,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X38),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| v_thesis____ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1406,plain,
spl0_62,
inference(avatar_split_clause,[],[f567,f1403]) ).
fof(f1403,plain,
( spl0_62
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Ocos(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)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f567,axiom,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Ocos(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/sandbox2/benchmark/theBenchmark.p',cls_cos__pi__half_0) ).
fof(f1401,plain,
spl0_61,
inference(avatar_split_clause,[],[f404,f1398]) ).
fof(f1398,plain,
( spl0_61
<=> c_lessequals(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f404,axiom,
c_lessequals(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cos__two__le__zero_0) ).
fof(f1396,plain,
spl0_60,
inference(avatar_split_clause,[],[f979,f1393]) ).
fof(f1393,plain,
( spl0_60
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f979,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add) ).
fof(f1391,plain,
spl0_59,
inference(avatar_split_clause,[],[f23,f1388]) ).
fof(f1388,plain,
( spl0_59
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f23,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pi__ge__zero_0) ).
fof(f1385,plain,
spl0_58,
inference(avatar_split_clause,[],[f747,f1382]) ).
fof(f1382,plain,
( spl0_58
<=> 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) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f747,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/sandbox2/benchmark/theBenchmark.p',cls_minus__pi__half__less__zero_0) ).
fof(f1380,plain,
spl0_57,
inference(avatar_split_clause,[],[f958,f1377]) ).
fof(f1377,plain,
( spl0_57
<=> class_OrderedGroup_Omonoid__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f958,axiom,
class_OrderedGroup_Omonoid__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Omonoid__add) ).
fof(f1375,plain,
spl0_56,
inference(avatar_split_clause,[],[f921,f1372]) ).
fof(f1372,plain,
( spl0_56
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f921,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__cancel__ab__semigroup__add) ).
fof(f1370,plain,
spl0_55,
inference(avatar_split_clause,[],[f1037,f1367]) ).
fof(f1367,plain,
( spl0_55
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f1037,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult) ).
fof(f1365,plain,
spl0_54,
inference(avatar_split_clause,[],[f1035,f1362]) ).
fof(f1362,plain,
( spl0_54
<=> class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f1035,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult) ).
fof(f1360,plain,
spl0_53,
inference(avatar_split_clause,[],[f948,f1357]) ).
fof(f1357,plain,
( spl0_53
<=> class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f948,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring) ).
fof(f1355,plain,
spl0_52,
inference(avatar_split_clause,[],[f1093,f1352]) ).
fof(f1093,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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_Transcendental_Opi,tc_RealDef_Oreal)),c_Transcendental_Ocos(c_Transcendental_Opi),tc_RealDef_Oreal),
inference(definition_unfolding,[],[f29,f1056]) ).
fof(f29,axiom,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Otan(c_Transcendental_Opi),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tan__pi_0) ).
fof(f1350,plain,
~ spl0_51,
inference(avatar_split_clause,[],[f623,f1347]) ).
fof(f1347,plain,
( spl0_51
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Opi ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f623,axiom,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Transcendental_Opi,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pi__neq__zero_0) ).
fof(f1345,plain,
spl0_50,
inference(avatar_split_clause,[],[f1008,f1342]) ).
fof(f1342,plain,
( spl0_50
<=> class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f1008,axiom,
class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add) ).
fof(f1340,plain,
spl0_49,
inference(avatar_split_clause,[],[f1048,f1337]) ).
fof(f1337,plain,
( spl0_49
<=> class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f1048,axiom,
class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add) ).
fof(f1335,plain,
spl0_48,
inference(avatar_split_clause,[],[f926,f1332]) ).
fof(f1332,plain,
( spl0_48
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f926,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add) ).
fof(f1330,plain,
spl0_47,
inference(avatar_split_clause,[],[f972,f1327]) ).
fof(f1327,plain,
( spl0_47
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f972,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring) ).
fof(f1325,plain,
spl0_46,
inference(avatar_split_clause,[],[f1054,f1322]) ).
fof(f1322,plain,
( spl0_46
<=> class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f1054,axiom,
class_Int_Onumber__ring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Int_Onumber__ring) ).
fof(f1320,plain,
spl0_45,
inference(avatar_split_clause,[],[f953,f1317]) ).
fof(f1317,plain,
( spl0_45
<=> class_OrderedGroup_Oab__group__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f953,axiom,
class_OrderedGroup_Oab__group__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Oab__group__add) ).
fof(f1315,plain,
spl0_44,
inference(avatar_split_clause,[],[f374,f1312]) ).
fof(f374,axiom,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cos__3over2__pi_0) ).
fof(f1310,plain,
spl0_43,
inference(avatar_split_clause,[],[f989,f1307]) ).
fof(f1307,plain,
( spl0_43
<=> class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f989,axiom,
class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring) ).
fof(f1305,plain,
spl0_42,
inference(avatar_split_clause,[],[f968,f1302]) ).
fof(f1302,plain,
( spl0_42
<=> class_Int_Onumber(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f968,axiom,
class_Int_Onumber(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Int_Onumber) ).
fof(f1300,plain,
spl0_41,
inference(avatar_split_clause,[],[f1023,f1297]) ).
fof(f1297,plain,
( spl0_41
<=> class_Int_Oring__char__0(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f1023,axiom,
class_Int_Oring__char__0(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Int_Oring__char__0) ).
fof(f1295,plain,
spl0_40,
inference(avatar_split_clause,[],[f994,f1292]) ).
fof(f1292,plain,
( spl0_40
<=> class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f994,axiom,
class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra) ).
fof(f1290,plain,
spl0_39,
inference(avatar_split_clause,[],[f1025,f1287]) ).
fof(f1287,plain,
( spl0_39
<=> class_Int_Onumber(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f1025,axiom,
class_Int_Onumber(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Int_Onumber) ).
fof(f1285,plain,
( spl0_4
| spl0_38 ),
inference(avatar_split_clause,[],[f750,f1283,f1111]) ).
fof(f750,axiom,
! [X8] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
| v_thesis____
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_sko__local__Xthat__1(X8,v_p,v_s____,v_z____),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/sandbox2/benchmark/theBenchmark.p',cls_that_2) ).
fof(f1280,plain,
spl0_37,
inference(avatar_split_clause,[],[f1021,f1277]) ).
fof(f1277,plain,
( spl0_37
<=> class_Orderings_Olinorder(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f1021,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Olinorder) ).
fof(f1275,plain,
spl0_36,
inference(avatar_split_clause,[],[f1047,f1272]) ).
fof(f1272,plain,
( spl0_36
<=> class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f1047,axiom,
class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add) ).
fof(f1270,plain,
spl0_35,
inference(avatar_split_clause,[],[f971,f1267]) ).
fof(f1267,plain,
( spl0_35
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f971,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict) ).
fof(f1265,plain,
spl0_34,
inference(avatar_split_clause,[],[f1015,f1262]) ).
fof(f1262,plain,
( spl0_34
<=> class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f1015,axiom,
class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if) ).
fof(f1260,plain,
spl0_33,
inference(avatar_split_clause,[],[f998,f1257]) ).
fof(f1257,plain,
( spl0_33
<=> class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f998,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add) ).
fof(f1255,plain,
spl0_32,
inference(avatar_split_clause,[],[f974,f1252]) ).
fof(f1252,plain,
( spl0_32
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f974,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add) ).
fof(f1250,plain,
spl0_31,
inference(avatar_split_clause,[],[f982,f1247]) ).
fof(f1247,plain,
( spl0_31
<=> class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f982,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add) ).
fof(f1245,plain,
spl0_30,
inference(avatar_split_clause,[],[f935,f1242]) ).
fof(f1242,plain,
( spl0_30
<=> class_OrderedGroup_Oordered__ab__group__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f935,axiom,
class_OrderedGroup_Oordered__ab__group__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Oordered__ab__group__add) ).
fof(f1239,plain,
~ spl0_4,
inference(avatar_split_clause,[],[f917,f1111]) ).
fof(f917,axiom,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1238,plain,
spl0_29,
inference(avatar_split_clause,[],[f1017,f1235]) ).
fof(f1017,axiom,
class_Ring__and__Field_Ofield(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ofield) ).
fof(f1233,plain,
spl0_28,
inference(avatar_split_clause,[],[f936,f1230]) ).
fof(f1230,plain,
( spl0_28
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f936,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add) ).
fof(f1228,plain,
spl0_27,
inference(avatar_split_clause,[],[f949,f1225]) ).
fof(f1225,plain,
( spl0_27
<=> class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f949,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add) ).
fof(f1223,plain,
spl0_26,
inference(avatar_split_clause,[],[f975,f1220]) ).
fof(f1220,plain,
( spl0_26
<=> class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f975,axiom,
class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs) ).
fof(f1218,plain,
spl0_25,
inference(avatar_split_clause,[],[f947,f1215]) ).
fof(f1215,plain,
( spl0_25
<=> class_Ring__and__Field_Olordered__ring(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f947,axiom,
class_Ring__and__Field_Olordered__ring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Olordered__ring) ).
fof(f1213,plain,
spl0_24,
inference(avatar_split_clause,[],[f403,f1210]) ).
fof(f1210,plain,
( spl0_24
<=> 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) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f403,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/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__two__ge__zero_0) ).
fof(f1207,plain,
spl0_23,
inference(avatar_split_clause,[],[f624,f1204]) ).
fof(f1204,plain,
( spl0_23
<=> 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_23])]) ).
fof(f624,axiom,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__zero_0) ).
fof(f1202,plain,
spl0_22,
inference(avatar_split_clause,[],[f1001,f1199]) ).
fof(f1199,plain,
( spl0_22
<=> class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f1001,axiom,
class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring) ).
fof(f1197,plain,
spl0_21,
inference(avatar_split_clause,[],[f933,f1194]) ).
fof(f1194,plain,
( spl0_21
<=> class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f933,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add) ).
fof(f1192,plain,
spl0_20,
inference(avatar_split_clause,[],[f1009,f1189]) ).
fof(f1189,plain,
( spl0_20
<=> class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1009,axiom,
class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero) ).
fof(f1187,plain,
spl0_19,
inference(avatar_split_clause,[],[f1010,f1184]) ).
fof(f1184,plain,
( spl0_19
<=> class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1010,axiom,
class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono) ).
fof(f1182,plain,
spl0_18,
inference(avatar_split_clause,[],[f983,f1179]) ).
fof(f1179,plain,
( spl0_18
<=> class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f983,axiom,
class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add) ).
fof(f1177,plain,
spl0_17,
inference(avatar_split_clause,[],[f371,f1174]) ).
fof(f1174,plain,
( spl0_17
<=> 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) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f371,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/sandbox2/benchmark/theBenchmark.p',cls_pi__ge__two_0) ).
fof(f1172,plain,
spl0_16,
inference(avatar_split_clause,[],[f1064,f1169]) ).
fof(f1064,plain,
c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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_HOL_Oinverse__class_Odivide(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),tc_RealDef_Oreal)),
inference(definition_unfolding,[],[f13,f387]) ).
fof(f13,axiom,
c_Transcendental_Osin(c_HOL_Oinverse__class_Odivide(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)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),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/sandbox2/benchmark/theBenchmark.p',cls_sin__45_0) ).
fof(f1167,plain,
spl0_15,
inference(avatar_split_clause,[],[f1018,f1164]) ).
fof(f1164,plain,
( spl0_15
<=> class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1018,axiom,
class_Ring__and__Field_Oring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oring) ).
fof(f1162,plain,
spl0_14,
inference(avatar_split_clause,[],[f1011,f1159]) ).
fof(f1159,plain,
( spl0_14
<=> class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1011,axiom,
class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult) ).
fof(f1157,plain,
spl0_13,
inference(avatar_split_clause,[],[f934,f1154]) ).
fof(f1154,plain,
( spl0_13
<=> class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f934,axiom,
class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add) ).
fof(f1152,plain,
spl0_12,
inference(avatar_split_clause,[],[f825,f1149]) ).
fof(f825,axiom,
c_Int_OPls = c_Int_OBit0(c_Int_OPls),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__simps_I38_J_1) ).
fof(f1147,plain,
spl0_11,
inference(avatar_split_clause,[],[f568,f1144]) ).
fof(f1144,plain,
( spl0_11
<=> 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) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f568,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/sandbox2/benchmark/theBenchmark.p',cls_pi__half__ge__zero_0) ).
fof(f1142,plain,
spl0_10,
inference(avatar_split_clause,[],[f965,f1139]) ).
fof(f1139,plain,
( spl0_10
<=> class_Orderings_Oorder(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f965,axiom,
class_Orderings_Oorder(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Orderings_Oorder) ).
fof(f1137,plain,
spl0_9,
inference(avatar_split_clause,[],[f838,f1134]) ).
fof(f838,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/sandbox2/benchmark/theBenchmark.p',cls_e_0) ).
fof(f1132,plain,
spl0_8,
inference(avatar_split_clause,[],[f966,f1129]) ).
fof(f1129,plain,
( spl0_8
<=> class_Int_Oring__char__0(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f966,axiom,
class_Int_Oring__char__0(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Int_Oring__char__0) ).
fof(f1127,plain,
spl0_7,
inference(avatar_split_clause,[],[f940,f1124]) ).
fof(f1124,plain,
( spl0_7
<=> class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f940,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors) ).
fof(f1122,plain,
spl0_6,
inference(avatar_split_clause,[],[f992,f1119]) ).
fof(f1119,plain,
( spl0_6
<=> class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f992,axiom,
class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom) ).
fof(f1117,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f919,f1115,f1111]) ).
fof(f919,axiom,
! [X38] :
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X38),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X38,tc_RealDef_Oreal)
| v_thesis____
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X38,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1109,plain,
spl0_3,
inference(avatar_split_clause,[],[f1088,f1106]) ).
fof(f1088,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(definition_unfolding,[],[f625,f387]) ).
fof(f625,axiom,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__zero_0) ).
fof(f1104,plain,
spl0_2,
inference(avatar_split_clause,[],[f1052,f1101]) ).
fof(f1101,plain,
( spl0_2
<=> class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1052,axiom,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oidom) ).
fof(f1099,plain,
spl0_1,
inference(avatar_split_clause,[],[f1058,f1096]) ).
fof(f1058,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(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_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)),
inference(definition_unfolding,[],[f12,f387]) ).
fof(f12,axiom,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Osin(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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__two__pi_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ALG375-1 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 15:08:41 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.55 % (12079)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)
% 1.10/0.56 % (12071)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)
% 1.10/0.56 % (12077)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.10/0.56 % (12093)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.10/0.57 % (12090)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.10/0.58 % (12069)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.58 % (12085)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)
% 1.32/0.58 % (12082)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.32/0.58 % (12080)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)
% 1.32/0.58 % (12074)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)
% 1.32/0.58 % (12072)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.32/0.59 % (12087)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)
% 1.32/0.59 % (12076)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)
% 1.32/0.59 % (12070)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)
% 1.32/0.59 % (12089)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.32/0.59 % (12068)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)
% 1.32/0.59 % (12092)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)
% 1.32/0.59 % (12065)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)
% 1.32/0.60 % (12081)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)
% 1.32/0.60 % (12083)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.32/0.60 % (12094)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)
% 1.32/0.60 % (12088)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)
% 1.32/0.60 % (12075)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.32/0.61 % (12084)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)
% 1.32/0.61 % (12091)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)
% 1.32/0.61 % (12067)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)
% 1.32/0.61 % (12072)Instruction limit reached!
% 1.32/0.61 % (12072)------------------------------
% 1.32/0.61 % (12072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.61 % (12072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.61 % (12072)Termination reason: Unknown
% 1.32/0.61 % (12072)Termination phase: Property scanning
% 1.32/0.61
% 1.32/0.61 % (12072)Memory used [KB]: 2046
% 1.32/0.61 % (12072)Time elapsed: 0.007 s
% 1.32/0.61 % (12072)Instructions burned: 9 (million)
% 1.32/0.61 % (12072)------------------------------
% 1.32/0.61 % (12072)------------------------------
% 1.32/0.61 % (12086)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.32/0.61 % (12066)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)
% 1.32/0.62 % (12078)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.32/0.63 % (12073)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.73/0.63 % (12073)Instruction limit reached!
% 1.73/0.63 % (12073)------------------------------
% 1.73/0.63 % (12073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.63 % (12073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.63 % (12073)Termination reason: Unknown
% 1.73/0.63 % (12073)Termination phase: shuffling
% 1.73/0.63
% 1.73/0.63 % (12073)Memory used [KB]: 1791
% 1.73/0.63 % (12073)Time elapsed: 0.004 s
% 1.73/0.63 % (12073)Instructions burned: 2 (million)
% 1.73/0.63 % (12073)------------------------------
% 1.73/0.63 % (12073)------------------------------
% 1.73/0.64 % (12071)Instruction limit reached!
% 1.73/0.64 % (12071)------------------------------
% 1.73/0.64 % (12071)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.64 % (12071)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.64 % (12071)Termination reason: Unknown
% 1.73/0.64 % (12071)Termination phase: Finite model building preprocessing
% 1.73/0.64
% 1.73/0.64 % (12071)Memory used [KB]: 2942
% 1.73/0.64 % (12071)Time elapsed: 0.037 s
% 1.73/0.64 % (12071)Instructions burned: 52 (million)
% 1.73/0.64 % (12071)------------------------------
% 1.73/0.64 % (12071)------------------------------
% 1.73/0.65 % (12067)Instruction limit reached!
% 1.73/0.65 % (12067)------------------------------
% 1.73/0.65 % (12067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.65 % (12067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.65 % (12067)Termination reason: Unknown
% 1.73/0.65 % (12067)Termination phase: Property scanning
% 1.73/0.65
% 1.73/0.65 % (12067)Memory used [KB]: 2046
% 1.73/0.65 % (12067)Time elapsed: 0.026 s
% 1.73/0.65 % (12067)Instructions burned: 38 (million)
% 1.73/0.65 % (12067)------------------------------
% 1.73/0.65 % (12067)------------------------------
% 1.91/0.66 % (12070)Instruction limit reached!
% 1.91/0.66 % (12070)------------------------------
% 1.91/0.66 % (12070)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.66 % (12070)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.66 % (12070)Termination reason: Unknown
% 1.91/0.66 % (12070)Termination phase: Saturation
% 1.91/0.66
% 1.91/0.66 % (12070)Memory used [KB]: 6908
% 1.91/0.66 % (12070)Time elapsed: 0.193 s
% 1.91/0.66 % (12070)Instructions burned: 49 (million)
% 1.91/0.66 % (12070)------------------------------
% 1.91/0.66 % (12070)------------------------------
% 1.91/0.66 % (12074)Instruction limit reached!
% 1.91/0.66 % (12074)------------------------------
% 1.91/0.66 % (12074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.66 % (12074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.66 % (12074)Termination reason: Unknown
% 1.91/0.66 % (12074)Termination phase: Saturation
% 1.91/0.66
% 1.91/0.66 % (12074)Memory used [KB]: 2686
% 1.91/0.66 % (12074)Time elapsed: 0.027 s
% 1.91/0.66 % (12074)Instructions burned: 51 (million)
% 1.91/0.66 % (12074)------------------------------
% 1.91/0.66 % (12074)------------------------------
% 1.91/0.66 % (12069)Instruction limit reached!
% 1.91/0.66 % (12069)------------------------------
% 1.91/0.66 % (12069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.66 % (12069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.66 % (12069)Termination reason: Unknown
% 1.91/0.66 % (12069)Termination phase: Saturation
% 1.91/0.66
% 1.91/0.66 % (12069)Memory used [KB]: 6780
% 1.91/0.66 % (12069)Time elapsed: 0.025 s
% 1.91/0.66 % (12069)Instructions burned: 51 (million)
% 1.91/0.66 % (12069)------------------------------
% 1.91/0.66 % (12069)------------------------------
% 1.91/0.67 % (12082)Instruction limit reached!
% 1.91/0.67 % (12082)------------------------------
% 1.91/0.67 % (12082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.67 % (12082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.67 % (12082)Termination reason: Unknown
% 1.91/0.67 % (12082)Termination phase: Finite model building preprocessing
% 1.91/0.67
% 1.91/0.67 % (12082)Memory used [KB]: 2814
% 1.91/0.67 % (12082)Time elapsed: 0.030 s
% 1.91/0.67 % (12082)Instructions burned: 59 (million)
% 1.91/0.67 % (12082)------------------------------
% 1.91/0.67 % (12082)------------------------------
% 1.91/0.67 % (12079)Instruction limit reached!
% 1.91/0.67 % (12079)------------------------------
% 1.91/0.67 % (12079)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.67 % (12068)Instruction limit reached!
% 1.91/0.67 % (12068)------------------------------
% 1.91/0.67 % (12068)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.67 % (12068)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.67 % (12068)Termination reason: Unknown
% 1.91/0.67 % (12068)Termination phase: Saturation
% 1.91/0.67
% 1.91/0.67 % (12068)Memory used [KB]: 7036
% 1.91/0.67 % (12068)Time elapsed: 0.027 s
% 1.91/0.67 % (12068)Instructions burned: 51 (million)
% 1.91/0.67 % (12068)------------------------------
% 1.91/0.67 % (12068)------------------------------
% 1.91/0.68 % (12079)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.68 % (12079)Termination reason: Unknown
% 1.91/0.68 % (12079)Termination phase: Saturation
% 1.91/0.68
% 1.91/0.68 % (12079)Memory used [KB]: 8187
% 1.91/0.68 % (12079)Time elapsed: 0.049 s
% 1.91/0.68 % (12079)Instructions burned: 68 (million)
% 1.91/0.68 % (12079)------------------------------
% 1.91/0.68 % (12079)------------------------------
% 1.91/0.69 % (12066)Instruction limit reached!
% 1.91/0.69 % (12066)------------------------------
% 1.91/0.69 % (12066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.69 % (12080)Instruction limit reached!
% 1.91/0.69 % (12080)------------------------------
% 1.91/0.69 % (12080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.71 % (12075)Instruction limit reached!
% 1.91/0.71 % (12075)------------------------------
% 1.91/0.71 % (12075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.71 % (12075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.71 % (12075)Termination reason: Unknown
% 1.91/0.71 % (12075)Termination phase: Saturation
% 1.91/0.71
% 1.91/0.71 % (12075)Memory used [KB]: 7036
% 1.91/0.71 % (12075)Time elapsed: 0.027 s
% 1.91/0.71 % (12075)Instructions burned: 50 (million)
% 1.91/0.71 % (12075)------------------------------
% 1.91/0.71 % (12075)------------------------------
% 1.91/0.71 % (12080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.71 % (12080)Termination reason: Unknown
% 1.91/0.71 % (12080)Termination phase: Saturation
% 1.91/0.71
% 1.91/0.71 % (12080)Memory used [KB]: 2686
% 1.91/0.71 % (12080)Time elapsed: 0.036 s
% 1.91/0.71 % (12080)Instructions burned: 75 (million)
% 1.91/0.71 % (12080)------------------------------
% 1.91/0.71 % (12080)------------------------------
% 1.91/0.71 % (12066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.71 % (12066)Termination reason: Unknown
% 1.91/0.71 % (12066)Termination phase: Saturation
% 1.91/0.71
% 1.91/0.71 % (12066)Memory used [KB]: 7036
% 1.91/0.71 % (12066)Time elapsed: 0.028 s
% 1.91/0.71 % (12066)Instructions burned: 51 (million)
% 1.91/0.71 % (12066)------------------------------
% 1.91/0.71 % (12066)------------------------------
% 2.33/0.72 % (12091)Instruction limit reached!
% 2.33/0.72 % (12091)------------------------------
% 2.33/0.72 % (12091)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.73 % (12091)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.73 % (12091)Termination reason: Unknown
% 2.33/0.73 % (12091)Termination phase: Saturation
% 2.33/0.73
% 2.33/0.73 % (12091)Memory used [KB]: 8187
% 2.33/0.73 % (12091)Time elapsed: 0.037 s
% 2.33/0.73 % (12091)Instructions burned: 68 (million)
% 2.33/0.73 % (12091)------------------------------
% 2.33/0.73 % (12091)------------------------------
% 2.33/0.74 % (12077)Instruction limit reached!
% 2.33/0.74 % (12077)------------------------------
% 2.33/0.74 % (12077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.75 % (12096)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 (2997ds/211Mi)
% 2.33/0.75 % (12081)Instruction limit reached!
% 2.33/0.75 % (12081)------------------------------
% 2.33/0.75 % (12081)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.75 % (12081)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.75 % (12081)Termination reason: Unknown
% 2.33/0.75 % (12081)Termination phase: Saturation
% 2.33/0.75
% 2.33/0.75 % (12081)Memory used [KB]: 7419
% 2.33/0.75 % (12081)Time elapsed: 0.277 s
% 2.33/0.75 % (12081)Instructions burned: 99 (million)
% 2.33/0.75 % (12081)------------------------------
% 2.33/0.75 % (12081)------------------------------
% 2.33/0.76 % (12077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.76 % (12077)Termination reason: Unknown
% 2.33/0.76 % (12077)Termination phase: Saturation
% 2.33/0.76
% 2.33/0.76 % (12077)Memory used [KB]: 7419
% 2.33/0.76 % (12077)Time elapsed: 0.070 s
% 2.33/0.76 % (12077)Instructions burned: 101 (million)
% 2.33/0.76 % (12077)------------------------------
% 2.33/0.76 % (12077)------------------------------
% 2.33/0.76 % (12095)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)
% 2.58/0.76 % (12098)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.58/0.77 % (12097)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 (2997ds/90Mi)
% 2.58/0.77 % (12084)Instruction limit reached!
% 2.58/0.77 % (12084)------------------------------
% 2.58/0.77 % (12084)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.77 % (12084)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.77 % (12084)Termination reason: Unknown
% 2.58/0.77 % (12084)Termination phase: Saturation
% 2.58/0.77
% 2.58/0.77 % (12084)Memory used [KB]: 2814
% 2.58/0.77 % (12084)Time elapsed: 0.316 s
% 2.58/0.77 % (12084)Instructions burned: 101 (million)
% 2.58/0.77 % (12084)------------------------------
% 2.58/0.77 % (12084)------------------------------
% 2.58/0.78 % (12083)Instruction limit reached!
% 2.58/0.78 % (12083)------------------------------
% 2.58/0.78 % (12083)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.78 % (12076)Instruction limit reached!
% 2.58/0.78 % (12076)------------------------------
% 2.58/0.78 % (12076)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.78 % (12076)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.78 % (12083)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.78 % (12076)Termination reason: Unknown
% 2.58/0.78 % (12083)Termination reason: Unknown
% 2.58/0.78 % (12076)Termination phase: Saturation
% 2.58/0.78 % (12083)Termination phase: Saturation
% 2.58/0.78
% 2.58/0.78
% 2.58/0.78 % (12076)Memory used [KB]: 7803
% 2.58/0.78 % (12083)Memory used [KB]: 7419
% 2.58/0.78 % (12076)Time elapsed: 0.307 s
% 2.58/0.78 % (12083)Time elapsed: 0.058 s
% 2.58/0.78 % (12076)Instructions burned: 100 (million)
% 2.58/0.78 % (12083)Instructions burned: 101 (million)
% 2.58/0.78 % (12076)------------------------------
% 2.58/0.78 % (12076)------------------------------
% 2.58/0.78 % (12083)------------------------------
% 2.58/0.78 % (12083)------------------------------
% 2.58/0.79 % (12101)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 (2997ds/655Mi)
% 2.58/0.79 % (12078)Instruction limit reached!
% 2.58/0.79 % (12078)------------------------------
% 2.58/0.79 % (12078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.79 % (12078)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.79 % (12078)Termination reason: Unknown
% 2.58/0.79 % (12078)Termination phase: Saturation
% 2.58/0.79
% 2.58/0.79 % (12078)Memory used [KB]: 7419
% 2.58/0.79 % (12078)Time elapsed: 0.325 s
% 2.58/0.79 % (12078)Instructions burned: 99 (million)
% 2.58/0.79 % (12078)------------------------------
% 2.58/0.79 % (12078)------------------------------
% 2.58/0.80 % (12102)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 (2996ds/68Mi)
% 2.58/0.81 % (12099)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.58/0.81 % (12100)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 (2997ds/747Mi)
% 2.58/0.81 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.58/0.81 % (12104)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 (2996ds/981Mi)
% 2.58/0.82 % (12103)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 (2996ds/940Mi)
% 2.58/0.82 % (12105)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)
% 2.85/0.85 % (12107)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.85/0.85 % (12106)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 (2996ds/2016Mi)
% 2.85/0.85 % (12108)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 (2996ds/4958Mi)
% 2.85/0.86 % (12086)Instruction limit reached!
% 2.85/0.86 % (12086)------------------------------
% 2.85/0.86 % (12086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.86 % (12086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.86 % (12086)Termination reason: Unknown
% 2.85/0.86 % (12086)Termination phase: Saturation
% 2.85/0.86
% 2.85/0.86 % (12086)Memory used [KB]: 7931
% 2.85/0.86 % (12086)Time elapsed: 0.381 s
% 2.85/0.86 % (12086)Instructions burned: 138 (million)
% 2.85/0.86 % (12086)------------------------------
% 2.85/0.86 % (12086)------------------------------
% 2.85/0.87 % (12085)Instruction limit reached!
% 2.85/0.87 % (12085)------------------------------
% 2.85/0.87 % (12085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.87 % (12085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.87 % (12085)Termination reason: Unknown
% 2.85/0.87 % (12085)Termination phase: Saturation
% 2.85/0.87
% 2.85/0.87 % (12085)Memory used [KB]: 8187
% 2.85/0.87 % (12085)Time elapsed: 0.387 s
% 2.85/0.87 % (12085)Instructions burned: 176 (million)
% 2.85/0.87 % (12085)------------------------------
% 2.85/0.87 % (12085)------------------------------
% 2.95/0.89 % (12110)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.95/0.89 % (12109)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.95/0.91 % (12102)Instruction limit reached!
% 2.95/0.91 % (12102)------------------------------
% 2.95/0.91 % (12102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.95/0.91 % (12102)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.95/0.91 % (12102)Termination reason: Unknown
% 2.95/0.91 % (12102)Termination phase: Saturation
% 2.95/0.91
% 2.95/0.91 % (12102)Memory used [KB]: 8187
% 2.95/0.91 % (12102)Time elapsed: 0.034 s
% 2.95/0.91 % (12102)Instructions burned: 68 (million)
% 2.95/0.91 % (12102)------------------------------
% 2.95/0.91 % (12102)------------------------------
% 2.95/0.91 % (12111)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 (2995ds/4931Mi)
% 2.95/0.92 % (12112)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)
% 2.95/0.92 % (12113)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 (2995ds/1824Mi)
% 2.95/0.93 % (12092)Instruction limit reached!
% 2.95/0.93 % (12092)------------------------------
% 2.95/0.93 % (12092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.95/0.93 % (12092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.95/0.93 % (12092)Termination reason: Unknown
% 2.95/0.93 % (12092)Termination phase: Saturation
% 2.95/0.93
% 2.95/0.93 % (12092)Memory used [KB]: 3837
% 2.95/0.93 % (12092)Time elapsed: 0.447 s
% 2.95/0.93 % (12092)Instructions burned: 177 (million)
% 2.95/0.93 % (12092)------------------------------
% 2.95/0.93 % (12092)------------------------------
% 2.95/0.93 % (12097)Instruction limit reached!
% 2.95/0.93 % (12097)------------------------------
% 2.95/0.93 % (12097)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.95/0.93 % (12097)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.95/0.93 % (12097)Termination reason: Unknown
% 2.95/0.93 % (12097)Termination phase: Saturation
% 2.95/0.93
% 2.95/0.93 % (12097)Memory used [KB]: 7291
% 2.95/0.93 % (12097)Time elapsed: 0.262 s
% 2.95/0.93 % (12097)Instructions burned: 90 (million)
% 2.95/0.93 % (12097)------------------------------
% 2.95/0.93 % (12097)------------------------------
% 3.15/0.93 % (12114)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 (2995ds/2134Mi)
% 3.24/0.98 % (12105)Instruction limit reached!
% 3.24/0.98 % (12105)------------------------------
% 3.24/0.98 % (12105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.24/0.98 % (12105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.24/0.98 % (12105)Termination reason: Unknown
% 3.24/0.98 % (12105)Termination phase: Saturation
% 3.24/0.98
% 3.24/0.98 % (12105)Memory used [KB]: 7419
% 3.24/0.98 % (12105)Time elapsed: 0.253 s
% 3.24/0.98 % (12105)Instructions burned: 90 (million)
% 3.24/0.98 % (12105)------------------------------
% 3.24/0.98 % (12105)------------------------------
% 3.24/0.99 % (12115)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.24/1.01 % (12116)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.45/1.02 % (12112)Instruction limit reached!
% 3.45/1.02 % (12112)------------------------------
% 3.45/1.02 % (12112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.45/1.02 % (12112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.45/1.02 % (12112)Termination reason: Unknown
% 3.45/1.02 % (12112)Termination phase: Saturation
% 3.45/1.02
% 3.45/1.02 % (12112)Memory used [KB]: 8315
% 3.45/1.02 % (12112)Time elapsed: 0.034 s
% 3.45/1.02 % (12112)Instructions burned: 69 (million)
% 3.45/1.02 % (12112)------------------------------
% 3.45/1.02 % (12112)------------------------------
% 3.45/1.05 % (12117)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 (2994ds/90Mi)
% 3.45/1.06 % (12118)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 (2994ds/2016Mi)
% 3.45/1.07 % (12119)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 5.21/1.08 % (12096)Instruction limit reached!
% 5.21/1.08 % (12096)------------------------------
% 5.21/1.08 % (12096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.21/1.08 % (12096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.21/1.08 % (12096)Termination reason: Unknown
% 5.21/1.08 % (12096)Termination phase: Saturation
% 5.21/1.08
% 5.21/1.08 % (12096)Memory used [KB]: 4221
% 5.21/1.08 % (12096)Time elapsed: 0.380 s
% 5.21/1.08 % (12096)Instructions burned: 212 (million)
% 5.21/1.08 % (12096)------------------------------
% 5.21/1.08 % (12096)------------------------------
% 5.21/1.12 % (12120)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 (2993ds/9965Mi)
% 5.82/1.16 % (12121)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9877Mi)
% 5.82/1.18 % (12087)Instruction limit reached!
% 5.82/1.18 % (12087)------------------------------
% 5.82/1.18 % (12087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.82/1.18 % (12122)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)
% 5.82/1.19 TRYING [1]
% 5.82/1.19 % (12087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.82/1.19 % (12087)Termination reason: Unknown
% 5.82/1.19 % (12087)Termination phase: Saturation
% 5.82/1.19
% 5.82/1.19 % (12087)Memory used [KB]: 4733
% 5.82/1.19 % (12087)Time elapsed: 0.676 s
% 5.82/1.19 % (12087)Instructions burned: 498 (million)
% 5.82/1.19 % (12087)------------------------------
% 5.82/1.19 % (12087)------------------------------
% 6.08/1.21 % (12117)Instruction limit reached!
% 6.08/1.21 % (12117)------------------------------
% 6.08/1.21 % (12117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.08/1.23 % (12117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.08/1.23 % (12117)Termination reason: Unknown
% 6.08/1.23 % (12117)Termination phase: Saturation
% 6.08/1.23
% 6.08/1.23 % (12117)Memory used [KB]: 7291
% 6.08/1.23 % (12117)Time elapsed: 0.286 s
% 6.08/1.23 % (12117)Instructions burned: 90 (million)
% 6.08/1.23 % (12117)------------------------------
% 6.08/1.23 % (12117)------------------------------
% 6.44/1.24 TRYING [2]
% 6.44/1.24 % (12093)Instruction limit reached!
% 6.44/1.24 % (12093)------------------------------
% 6.44/1.24 % (12093)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.53/1.25 % (12093)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.53/1.25 % (12093)Termination reason: Unknown
% 6.53/1.25 % (12093)Termination phase: Saturation
% 6.53/1.25
% 6.53/1.25 % (12093)Memory used [KB]: 9466
% 6.53/1.25 % (12093)Time elapsed: 0.778 s
% 6.53/1.25 % (12093)Instructions burned: 439 (million)
% 6.53/1.25 % (12093)------------------------------
% 6.53/1.25 % (12093)------------------------------
% 6.53/1.27 % (12094)Instruction limit reached!
% 6.53/1.27 % (12094)------------------------------
% 6.53/1.27 % (12094)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.53/1.27 % (12094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.53/1.27 % (12094)Termination reason: Unknown
% 6.53/1.27 % (12094)Termination phase: Saturation
% 6.53/1.27
% 6.53/1.27 % (12094)Memory used [KB]: 8827
% 6.53/1.27 % (12094)Time elapsed: 0.705 s
% 6.53/1.27 % (12094)Instructions burned: 356 (million)
% 6.53/1.27 % (12094)------------------------------
% 6.53/1.27 % (12094)------------------------------
% 6.92/1.32 % (12123)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 (2991ds/1824Mi)
% 7.30/1.36 % (12124)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9989Mi)
% 7.30/1.37 % (12088)Instruction limit reached!
% 7.30/1.37 % (12088)------------------------------
% 7.30/1.37 % (12088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.30/1.37 % (12088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.30/1.37 % (12088)Termination reason: Unknown
% 7.30/1.37 % (12088)Termination phase: Saturation
% 7.30/1.37
% 7.30/1.37 % (12088)Memory used [KB]: 10490
% 7.30/1.37 % (12088)Time elapsed: 0.906 s
% 7.30/1.37 % (12088)Instructions burned: 469 (million)
% 7.30/1.37 % (12088)------------------------------
% 7.30/1.37 % (12088)------------------------------
% 7.30/1.39 % (12125)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9707Mi)
% 7.30/1.41 % (12095)Instruction limit reached!
% 7.30/1.41 % (12095)------------------------------
% 7.30/1.41 % (12095)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.30/1.41 % (12095)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.30/1.41 % (12095)Termination reason: Unknown
% 7.30/1.41 % (12095)Termination phase: Saturation
% 7.30/1.41
% 7.30/1.41 % (12095)Memory used [KB]: 9594
% 7.30/1.41 % (12095)Time elapsed: 0.712 s
% 7.30/1.41 % (12095)Instructions burned: 389 (million)
% 7.30/1.41 % (12095)------------------------------
% 7.30/1.41 % (12095)------------------------------
% 7.30/1.42 % (12126)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 (2990ds/90Mi)
% 7.90/1.48 % (12089)Instruction limit reached!
% 7.90/1.48 % (12089)------------------------------
% 7.90/1.48 % (12089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.90/1.48 % (12089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.90/1.48 % (12089)Termination reason: Unknown
% 7.90/1.48 % (12089)Termination phase: Saturation
% 7.90/1.48
% 7.90/1.48 % (12089)Memory used [KB]: 9594
% 7.90/1.48 % (12089)Time elapsed: 0.984 s
% 7.90/1.48 % (12089)Instructions burned: 482 (million)
% 7.90/1.48 % (12089)------------------------------
% 7.90/1.48 % (12089)------------------------------
% 8.15/1.49 % (12090)Instruction limit reached!
% 8.15/1.49 % (12090)------------------------------
% 8.15/1.49 % (12090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.15/1.49 % (12090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.15/1.49 % (12090)Termination reason: Unknown
% 8.15/1.49 % (12090)Termination phase: Saturation
% 8.15/1.49
% 8.15/1.49 % (12090)Memory used [KB]: 10362
% 8.15/1.49 % (12090)Time elapsed: 1.009 s
% 8.15/1.49 % (12090)Instructions burned: 501 (million)
% 8.15/1.49 % (12090)------------------------------
% 8.15/1.49 % (12090)------------------------------
% 8.15/1.50 % (12101)Instruction limit reached!
% 8.15/1.50 % (12101)------------------------------
% 8.15/1.50 % (12101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.15/1.50 % (12101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.15/1.50 % (12101)Termination reason: Unknown
% 8.15/1.50 % (12101)Termination phase: Saturation
% 8.15/1.50
% 8.15/1.50 % (12101)Memory used [KB]: 5373
% 8.15/1.50 % (12101)Time elapsed: 0.809 s
% 8.15/1.50 % (12101)Instructions burned: 655 (million)
% 8.15/1.50 % (12101)------------------------------
% 8.15/1.50 % (12101)------------------------------
% 8.15/1.51 % (12127)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 (2989ds/44001Mi)
% 8.15/1.53 % (12126)Instruction limit reached!
% 8.15/1.53 % (12126)------------------------------
% 8.15/1.53 % (12126)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.15/1.53 % (12126)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.15/1.53 % (12126)Termination reason: Unknown
% 8.15/1.53 % (12126)Termination phase: Saturation
% 8.15/1.53
% 8.15/1.53 % (12126)Memory used [KB]: 7291
% 8.15/1.53 % (12126)Time elapsed: 0.177 s
% 8.15/1.53 % (12126)Instructions burned: 90 (million)
% 8.15/1.53 % (12126)------------------------------
% 8.15/1.53 % (12126)------------------------------
% 8.53/1.56 % (12128)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 (2989ds/4958Mi)
% 9.54/1.63 % (12129)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)
% 9.54/1.64 % (12130)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 (2988ds/32293Mi)
% 9.54/1.64 % (12132)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/10187Mi)
% 9.54/1.65 % (12131)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 (2988ds/37001Mi)
% 10.04/1.70 % (12113)First to succeed.
% 10.04/1.75 % (12113)Refutation found. Thanks to Tanya!
% 10.04/1.75 % SZS status Unsatisfiable for theBenchmark
% 10.04/1.75 % SZS output start Proof for theBenchmark
% See solution above
% 10.04/1.76 % (12113)------------------------------
% 10.04/1.76 % (12113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.04/1.76 % (12113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.04/1.76 % (12113)Termination reason: Refutation
% 10.04/1.76
% 10.04/1.76 % (12113)Memory used [KB]: 5117
% 10.04/1.76 % (12113)Time elapsed: 0.888 s
% 10.04/1.76 % (12113)Instructions burned: 519 (million)
% 10.04/1.76 % (12113)------------------------------
% 10.04/1.76 % (12113)------------------------------
% 10.04/1.76 % (12064)Success in time 1.391 s
%------------------------------------------------------------------------------