TSTP Solution File: SET765+4 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET765+4 : TPTP v8.1.0. Released v2.2.0.
% 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 : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:25:34 EDT 2022
% Result : Theorem 11.75s 1.85s
% Output : Refutation 11.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 69
% Syntax : Number of formulae : 593 ( 11 unt; 0 def)
% Number of atoms : 2542 ( 51 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 2931 ( 982 ~;1840 |; 23 &)
% ( 72 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 70 ( 68 usr; 65 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 363 ( 357 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3166,plain,
$false,
inference(avatar_smt_refutation,[],[f131,f136,f141,f611,f616,f621,f622,f623,f624,f632,f641,f649,f655,f670,f700,f721,f782,f783,f784,f785,f786,f803,f806,f807,f808,f809,f827,f839,f851,f887,f902,f984,f1117,f1118,f1146,f1147,f1159,f1186,f1192,f1197,f1198,f1199,f1204,f1219,f1252,f1253,f1257,f1258,f1259,f1277,f1282,f1283,f1284,f1300,f1308,f1309,f1310,f1328,f1333,f1338,f1339,f1340,f1341,f1349,f1353,f1354,f1355,f1356,f1360,f1364,f1368,f1369,f1370,f1374,f1375,f1379,f1380,f1384,f1385,f1386,f1387,f1475,f1480,f1492,f1508,f1513,f1533,f1612,f1645,f1676,f1725,f1728,f1732,f1772,f1773,f1774,f1775,f1831,f1832,f1833,f1838,f1842,f1843,f1844,f1845,f1846,f1847,f1848,f1849,f1850,f1851,f1852,f1853,f1854,f1902,f1928,f1936,f2071,f2140,f2141,f2142,f2143,f2144,f2145,f2146,f2147,f2148,f2149,f2455,f2635,f2649,f2787,f2945,f2967,f2968,f2969,f2970,f3151,f3152,f3153,f3154,f3155,f3159,f3160,f3165]) ).
fof(f3165,plain,
( ~ spl12_7
| spl12_64
| ~ spl12_11 ),
inference(avatar_split_clause,[],[f2989,f646,f3162,f613]) ).
fof(f613,plain,
( spl12_7
<=> member(sK5(sK9,sK10),sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f3162,plain,
( spl12_64
<=> subset(singleton(sK5(sK9,sK10)),sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_64])]) ).
fof(f646,plain,
( spl12_11
<=> sK2(singleton(sK5(sK9,sK10)),sK10) = sK5(sK9,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f2989,plain,
( subset(singleton(sK5(sK9,sK10)),sK10)
| ~ member(sK5(sK9,sK10),sK10)
| ~ spl12_11 ),
inference(superposition,[],[f55,f648]) ).
fof(f648,plain,
( sK2(singleton(sK5(sK9,sK10)),sK10) = sK5(sK9,sK10)
| ~ spl12_11 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f55,plain,
! [X0,X1] :
( ~ member(sK2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X1,X0] :
( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
<=> subset(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
fof(f3160,plain,
( spl12_3
| ~ spl12_40
| ~ spl12_31
| ~ spl12_18 ),
inference(avatar_split_clause,[],[f3147,f800,f1201,f1335,f138]) ).
fof(f138,plain,
( spl12_3
<=> equivalence(sK9,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f1335,plain,
( spl12_40
<=> apply(sK9,sK8(sK9,sK10),sK8(sK9,sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_40])]) ).
fof(f1201,plain,
( spl12_31
<=> apply(sK9,sK3(sK9,sK10),sK5(sK9,sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_31])]) ).
fof(f800,plain,
( spl12_18
<=> apply(sK9,sK7(sK9,sK10),sK6(sK9,sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_18])]) ).
fof(f3147,plain,
( ~ apply(sK9,sK3(sK9,sK10),sK5(sK9,sK10))
| ~ apply(sK9,sK8(sK9,sK10),sK8(sK9,sK10))
| equivalence(sK9,sK10)
| ~ spl12_18 ),
inference(resolution,[],[f802,f94]) ).
fof(f94,plain,
! [X0,X1] :
( ~ apply(X0,sK7(X0,X1),sK6(X0,X1))
| ~ apply(X0,sK3(X0,X1),sK5(X0,X1))
| ~ apply(X0,sK8(X0,X1),sK8(X0,X1))
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X1,X0] :
( equivalence(X0,X1)
<=> ( ! [X2] :
( apply(X0,X2,X2)
| ~ member(X2,X1) )
& ! [X3,X4] :
( apply(X0,X4,X3)
| ~ member(X4,X1)
| ~ apply(X0,X3,X4)
| ~ member(X3,X1) )
& ! [X7,X6,X5] :
( ~ member(X5,X1)
| apply(X0,X7,X5)
| ~ apply(X0,X7,X6)
| ~ apply(X0,X6,X5)
| ~ member(X6,X1)
| ~ member(X7,X1) ) ) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X1,X0] :
( ( ! [X4,X3] :
( apply(X0,X4,X3)
| ~ apply(X0,X3,X4)
| ~ member(X4,X1)
| ~ member(X3,X1) )
& ! [X2] :
( apply(X0,X2,X2)
| ~ member(X2,X1) )
& ! [X5,X7,X6] :
( apply(X0,X7,X5)
| ~ apply(X0,X6,X5)
| ~ apply(X0,X7,X6)
| ~ member(X5,X1)
| ~ member(X7,X1)
| ~ member(X6,X1) ) )
<=> equivalence(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X1,X0] :
( ( ! [X4,X3] :
( ( member(X4,X1)
& member(X3,X1) )
=> ( apply(X0,X3,X4)
=> apply(X0,X4,X3) ) )
& ! [X2] :
( member(X2,X1)
=> apply(X0,X2,X2) )
& ! [X5,X7,X6] :
( ( member(X5,X1)
& member(X7,X1)
& member(X6,X1) )
=> ( ( apply(X0,X6,X5)
& apply(X0,X7,X6) )
=> apply(X0,X7,X5) ) ) )
<=> equivalence(X0,X1) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X6,X0] :
( ( ! [X2] :
( member(X2,X0)
=> apply(X6,X2,X2) )
& ! [X2,X4] :
( ( member(X2,X0)
& member(X4,X0) )
=> ( apply(X6,X2,X4)
=> apply(X6,X4,X2) ) )
& ! [X5,X4,X2] :
( ( member(X2,X0)
& member(X5,X0)
& member(X4,X0) )
=> ( ( apply(X6,X2,X4)
& apply(X6,X4,X5) )
=> apply(X6,X2,X5) ) ) )
<=> equivalence(X6,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalence) ).
fof(f802,plain,
( apply(sK9,sK7(sK9,sK10),sK6(sK9,sK10))
| ~ spl12_18 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f3159,plain,
( ~ spl12_16
| spl12_63
| spl12_19
| ~ spl12_1
| ~ spl12_18 ),
inference(avatar_split_clause,[],[f3137,f800,f128,f824,f3157,f779]) ).
fof(f779,plain,
( spl12_16
<=> member(sK7(sK9,sK10),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_16])]) ).
fof(f3157,plain,
( spl12_63
<=> ! [X0] :
( ~ apply(sK9,sK6(sK9,sK10),X0)
| apply(sK9,sK7(sK9,sK10),X0)
| ~ member(X0,sK11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_63])]) ).
fof(f824,plain,
( spl12_19
<=> sK6(sK9,sK10) = sK2(singleton(sK6(sK9,sK10)),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_19])]) ).
fof(f128,plain,
( spl12_1
<=> equivalence(sK9,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f3137,plain,
( ! [X0] :
( sK6(sK9,sK10) = sK2(singleton(sK6(sK9,sK10)),sK11)
| ~ apply(sK9,sK6(sK9,sK10),X0)
| ~ member(sK7(sK9,sK10),sK11)
| ~ member(X0,sK11)
| apply(sK9,sK7(sK9,sK10),X0) )
| ~ spl12_1
| ~ spl12_18 ),
inference(resolution,[],[f802,f452]) ).
fof(f452,plain,
( ! [X34,X32,X33] :
( ~ apply(sK9,X33,X32)
| ~ member(X34,sK11)
| sK2(singleton(X32),sK11) = X32
| ~ member(X33,sK11)
| apply(sK9,X33,X34)
| ~ apply(sK9,X32,X34) )
| ~ spl12_1 ),
inference(resolution,[],[f439,f422]) ).
fof(f422,plain,
( ! [X2,X0,X1] :
( ~ member(X2,sK11)
| apply(sK9,X1,X0)
| ~ member(X0,sK11)
| ~ apply(sK9,X2,X0)
| ~ apply(sK9,X1,X2)
| ~ member(X1,sK11) )
| ~ spl12_1 ),
inference(resolution,[],[f110,f130]) ).
fof(f130,plain,
( equivalence(sK9,sK11)
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f110,plain,
! [X0,X1,X6,X7,X5] :
( ~ equivalence(X0,X1)
| ~ member(X5,X1)
| ~ member(X7,X1)
| ~ apply(X0,X6,X5)
| ~ member(X6,X1)
| ~ apply(X0,X7,X6)
| apply(X0,X7,X5) ),
inference(cnf_transformation,[],[f39]) ).
fof(f439,plain,
! [X0,X1] :
( member(X0,X1)
| sK2(singleton(X0),X1) = X0 ),
inference(resolution,[],[f160,f150]) ).
fof(f150,plain,
! [X0,X1] :
( ~ subset(singleton(X0),X1)
| member(X0,X1) ),
inference(resolution,[],[f126,f56]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subset(X0,X1)
| member(X2,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f126,plain,
! [X1] : member(X1,singleton(X1)),
inference(equality_resolution,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( member(X0,singleton(X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( X0 = X1
<=> member(X0,singleton(X1)) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X2,X0] :
( X0 = X2
<=> member(X2,singleton(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton) ).
fof(f160,plain,
! [X2,X1] :
( subset(singleton(X1),X2)
| sK2(singleton(X1),X2) = X1 ),
inference(resolution,[],[f117,f54]) ).
fof(f54,plain,
! [X0,X1] :
( member(sK2(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f117,plain,
! [X0,X1] :
( ~ member(X0,singleton(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f27]) ).
fof(f3155,plain,
( spl12_3
| spl12_28
| ~ spl12_40
| ~ spl12_18 ),
inference(avatar_split_clause,[],[f3143,f800,f1335,f1180,f138]) ).
fof(f1180,plain,
( spl12_28
<=> apply(sK9,sK4(sK9,sK10),sK5(sK9,sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_28])]) ).
fof(f3143,plain,
( ~ apply(sK9,sK8(sK9,sK10),sK8(sK9,sK10))
| apply(sK9,sK4(sK9,sK10),sK5(sK9,sK10))
| equivalence(sK9,sK10)
| ~ spl12_18 ),
inference(resolution,[],[f802,f78]) ).
fof(f78,plain,
! [X0,X1] :
( ~ apply(X0,sK7(X0,X1),sK6(X0,X1))
| apply(X0,sK4(X0,X1),sK5(X0,X1))
| ~ apply(X0,sK8(X0,X1),sK8(X0,X1))
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f3154,plain,
( spl12_6
| ~ spl12_40
| spl12_3
| ~ spl12_18 ),
inference(avatar_split_clause,[],[f3139,f800,f138,f1335,f608]) ).
fof(f608,plain,
( spl12_6
<=> member(sK3(sK9,sK10),sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f3139,plain,
( equivalence(sK9,sK10)
| ~ apply(sK9,sK8(sK9,sK10),sK8(sK9,sK10))
| member(sK3(sK9,sK10),sK10)
| ~ spl12_18 ),
inference(resolution,[],[f802,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ apply(X0,sK7(X0,X1),sK6(X0,X1))
| member(sK3(X0,X1),X1)
| ~ apply(X0,sK8(X0,X1),sK8(X0,X1))
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f3153,plain,
( ~ spl12_40
| spl12_7
| spl12_3
| ~ spl12_18 ),
inference(avatar_split_clause,[],[f3149,f800,f138,f613,f1335]) ).
fof(f3149,plain,
( equivalence(sK9,sK10)
| member(sK5(sK9,sK10),sK10)
| ~ apply(sK9,sK8(sK9,sK10),sK8(sK9,sK10))
| ~ spl12_18 ),
inference(resolution,[],[f802,f102]) ).
fof(f102,plain,
! [X0,X1] :
( ~ apply(X0,sK7(X0,X1),sK6(X0,X1))
| member(sK5(X0,X1),X1)
| equivalence(X0,X1)
| ~ apply(X0,sK8(X0,X1),sK8(X0,X1)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f3152,plain,
( spl12_35
| ~ spl12_40
| spl12_3
| ~ spl12_18 ),
inference(avatar_split_clause,[],[f3145,f800,f138,f1335,f1279]) ).
fof(f1279,plain,
( spl12_35
<=> apply(sK9,sK3(sK9,sK10),sK4(sK9,sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_35])]) ).
fof(f3145,plain,
( equivalence(sK9,sK10)
| ~ apply(sK9,sK8(sK9,sK10),sK8(sK9,sK10))
| apply(sK9,sK3(sK9,sK10),sK4(sK9,sK10))
| ~ spl12_18 ),
inference(resolution,[],[f802,f86]) ).
fof(f86,plain,
! [X0,X1] :
( ~ apply(X0,sK7(X0,X1),sK6(X0,X1))
| apply(X0,sK3(X0,X1),sK4(X0,X1))
| equivalence(X0,X1)
| ~ apply(X0,sK8(X0,X1),sK8(X0,X1)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f3151,plain,
( ~ spl12_40
| spl12_8
| spl12_3
| ~ spl12_18 ),
inference(avatar_split_clause,[],[f3141,f800,f138,f618,f1335]) ).
fof(f618,plain,
( spl12_8
<=> member(sK4(sK9,sK10),sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f3141,plain,
( equivalence(sK9,sK10)
| member(sK4(sK9,sK10),sK10)
| ~ apply(sK9,sK8(sK9,sK10),sK8(sK9,sK10))
| ~ spl12_18 ),
inference(resolution,[],[f802,f70]) ).
fof(f70,plain,
! [X0,X1] :
( ~ apply(X0,sK7(X0,X1),sK6(X0,X1))
| ~ apply(X0,sK8(X0,X1),sK8(X0,X1))
| equivalence(X0,X1)
| member(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f2970,plain,
( spl12_8
| spl12_3
| spl12_5
| ~ spl12_1
| ~ spl12_30 ),
inference(avatar_split_clause,[],[f2726,f1194,f128,f604,f138,f618]) ).
fof(f604,plain,
( spl12_5
<=> member(sK7(sK9,sK10),sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f1194,plain,
( spl12_30
<=> member(sK8(sK9,sK10),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_30])]) ).
fof(f2726,plain,
( member(sK7(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK4(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_30 ),
inference(resolution,[],[f1195,f244]) ).
fof(f244,plain,
( ! [X0] :
( ~ member(sK8(sK9,X0),sK11)
| equivalence(sK9,X0)
| member(sK4(sK9,X0),X0)
| member(sK7(sK9,X0),X0) )
| ~ spl12_1 ),
inference(resolution,[],[f72,f151]) ).
fof(f151,plain,
( ! [X0] :
( apply(sK9,X0,X0)
| ~ member(X0,sK11) )
| ~ spl12_1 ),
inference(resolution,[],[f60,f130]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ equivalence(X0,X1)
| ~ member(X2,X1)
| apply(X0,X2,X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f72,plain,
! [X0,X1] :
( ~ apply(X0,sK8(X0,X1),sK8(X0,X1))
| equivalence(X0,X1)
| member(sK4(X0,X1),X1)
| member(sK7(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f1195,plain,
( member(sK8(sK9,sK10),sK11)
| ~ spl12_30 ),
inference(avatar_component_clause,[],[f1194]) ).
fof(f2969,plain,
( spl12_5
| spl12_3
| spl12_6
| spl12_8
| ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f714,f133,f128,f618,f608,f138,f604]) ).
fof(f133,plain,
( spl12_2
<=> subset(sK10,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f714,plain,
( member(sK4(sK9,sK10),sK10)
| member(sK3(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK7(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(duplicate_literal_removal,[],[f707]) ).
fof(f707,plain,
( member(sK4(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK7(sK9,sK10),sK10)
| member(sK3(sK9,sK10),sK10)
| member(sK7(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(resolution,[],[f523,f203]) ).
fof(f203,plain,
( ! [X0] :
( ~ member(sK8(sK9,X0),sK11)
| equivalence(sK9,X0)
| member(sK7(sK9,X0),X0)
| member(sK3(sK9,X0),X0) )
| ~ spl12_1 ),
inference(resolution,[],[f64,f151]) ).
fof(f64,plain,
! [X0,X1] :
( ~ apply(X0,sK8(X0,X1),sK8(X0,X1))
| equivalence(X0,X1)
| member(sK3(X0,X1),X1)
| member(sK7(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f523,plain,
( ! [X22] :
( member(sK8(X22,sK10),sK11)
| member(sK4(X22,sK10),sK10)
| equivalence(X22,sK10)
| member(sK7(X22,sK10),sK10) )
| ~ spl12_2 ),
inference(resolution,[],[f167,f135]) ).
fof(f135,plain,
( subset(sK10,sK11)
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f167,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| member(sK7(X0,X1),X1)
| member(sK8(X0,X1),X2)
| equivalence(X0,X1)
| member(sK4(X0,X1),X1) ),
inference(resolution,[],[f71,f56]) ).
fof(f71,plain,
! [X0,X1] :
( member(sK8(X0,X1),X1)
| equivalence(X0,X1)
| member(sK7(X0,X1),X1)
| member(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f2968,plain,
( spl12_7
| spl12_3
| spl12_5
| spl12_6
| ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f745,f133,f128,f608,f604,f138,f613]) ).
fof(f745,plain,
( member(sK3(sK9,sK10),sK10)
| member(sK7(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK5(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(duplicate_literal_removal,[],[f741]) ).
fof(f741,plain,
( equivalence(sK9,sK10)
| equivalence(sK9,sK10)
| member(sK7(sK9,sK10),sK10)
| member(sK3(sK9,sK10),sK10)
| member(sK5(sK9,sK10),sK10)
| member(sK7(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(resolution,[],[f547,f203]) ).
fof(f547,plain,
( ! [X22] :
( member(sK8(X22,sK10),sK11)
| member(sK7(X22,sK10),sK10)
| member(sK5(X22,sK10),sK10)
| equivalence(X22,sK10) )
| ~ spl12_2 ),
inference(resolution,[],[f191,f135]) ).
fof(f191,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| member(sK5(X0,X1),X1)
| member(sK8(X0,X1),X2)
| equivalence(X0,X1)
| member(sK7(X0,X1),X1) ),
inference(resolution,[],[f103,f56]) ).
fof(f103,plain,
! [X0,X1] :
( member(sK8(X0,X1),X1)
| member(sK5(X0,X1),X1)
| member(sK7(X0,X1),X1)
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f2967,plain,
( ~ spl12_30
| spl12_3
| spl12_5
| ~ spl12_1
| spl12_35 ),
inference(avatar_split_clause,[],[f2964,f1279,f128,f604,f138,f1194]) ).
fof(f2964,plain,
( member(sK7(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| ~ member(sK8(sK9,sK10),sK11)
| ~ spl12_1
| spl12_35 ),
inference(resolution,[],[f1280,f360]) ).
fof(f360,plain,
( ! [X0] :
( apply(sK9,sK3(sK9,X0),sK4(sK9,X0))
| member(sK7(sK9,X0),X0)
| ~ member(sK8(sK9,X0),sK11)
| equivalence(sK9,X0) )
| ~ spl12_1 ),
inference(resolution,[],[f88,f151]) ).
fof(f88,plain,
! [X0,X1] :
( ~ apply(X0,sK8(X0,X1),sK8(X0,X1))
| apply(X0,sK3(X0,X1),sK4(X0,X1))
| equivalence(X0,X1)
| member(sK7(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f1280,plain,
( ~ apply(sK9,sK3(sK9,sK10),sK4(sK9,sK10))
| spl12_35 ),
inference(avatar_component_clause,[],[f1279]) ).
fof(f2945,plain,
( spl12_62
| ~ spl12_23
| spl12_56
| ~ spl12_1
| ~ spl12_28 ),
inference(avatar_split_clause,[],[f2915,f1180,f128,f1925,f899,f2943]) ).
fof(f2943,plain,
( spl12_62
<=> ! [X15] :
( apply(sK9,sK4(sK9,sK10),X15)
| ~ member(X15,sK11)
| ~ apply(sK9,sK5(sK9,sK10),X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_62])]) ).
fof(f899,plain,
( spl12_23
<=> member(sK4(sK9,sK10),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_23])]) ).
fof(f1925,plain,
( spl12_56
<=> sK2(singleton(sK5(sK9,sK10)),sK11) = sK5(sK9,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_56])]) ).
fof(f2915,plain,
( ! [X15] :
( sK2(singleton(sK5(sK9,sK10)),sK11) = sK5(sK9,sK10)
| ~ member(sK4(sK9,sK10),sK11)
| apply(sK9,sK4(sK9,sK10),X15)
| ~ apply(sK9,sK5(sK9,sK10),X15)
| ~ member(X15,sK11) )
| ~ spl12_1
| ~ spl12_28 ),
inference(resolution,[],[f452,f1182]) ).
fof(f1182,plain,
( apply(sK9,sK4(sK9,sK10),sK5(sK9,sK10))
| ~ spl12_28 ),
inference(avatar_component_clause,[],[f1180]) ).
fof(f2787,plain,
( spl12_59
| spl12_60
| spl12_61
| ~ spl12_1 ),
inference(avatar_split_clause,[],[f2766,f128,f2784,f2780,f2776]) ).
fof(f2776,plain,
( spl12_59
<=> equivalence(sK9,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_59])]) ).
fof(f2780,plain,
( spl12_60
<=> member(sK5(sK9,empty_set),empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_60])]) ).
fof(f2784,plain,
( spl12_61
<=> sK2(singleton(sK8(sK9,empty_set)),sK11) = sK8(sK9,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_61])]) ).
fof(f2766,plain,
( sK2(singleton(sK8(sK9,empty_set)),sK11) = sK8(sK9,empty_set)
| member(sK5(sK9,empty_set),empty_set)
| equivalence(sK9,empty_set)
| ~ spl12_1 ),
inference(resolution,[],[f454,f41]) ).
fof(f41,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] : ~ member(X0,empty_set),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2] : ~ member(X2,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set) ).
fof(f454,plain,
( ! [X37] :
( member(sK6(sK9,X37),X37)
| sK2(singleton(sK8(sK9,X37)),sK11) = sK8(sK9,X37)
| equivalence(sK9,X37)
| member(sK5(sK9,X37),X37) )
| ~ spl12_1 ),
inference(resolution,[],[f439,f312]) ).
fof(f312,plain,
( ! [X0] :
( ~ member(sK8(sK9,X0),sK11)
| member(sK6(sK9,X0),X0)
| member(sK5(sK9,X0),X0)
| equivalence(sK9,X0) )
| ~ spl12_1 ),
inference(resolution,[],[f108,f151]) ).
fof(f108,plain,
! [X0,X1] :
( ~ apply(X0,sK8(X0,X1),sK8(X0,X1))
| member(sK6(X0,X1),X1)
| equivalence(X0,X1)
| member(sK5(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f2649,plain,
( spl12_3
| spl12_17
| ~ spl12_31
| ~ spl12_18 ),
inference(avatar_split_clause,[],[f2644,f800,f1201,f796,f138]) ).
fof(f796,plain,
( spl12_17
<=> member(sK8(sK9,sK10),sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_17])]) ).
fof(f2644,plain,
( ~ apply(sK9,sK3(sK9,sK10),sK5(sK9,sK10))
| member(sK8(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| ~ spl12_18 ),
inference(resolution,[],[f802,f93]) ).
fof(f93,plain,
! [X0,X1] :
( ~ apply(X0,sK7(X0,X1),sK6(X0,X1))
| ~ apply(X0,sK3(X0,X1),sK5(X0,X1))
| equivalence(X0,X1)
| member(sK8(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f2635,plain,
( ~ spl12_13
| ~ spl12_16
| ~ spl12_1
| ~ spl12_58 ),
inference(avatar_split_clause,[],[f2634,f2453,f128,f779,f667]) ).
fof(f667,plain,
( spl12_13
<=> member(sK6(sK9,sK10),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).
fof(f2453,plain,
( spl12_58
<=> ! [X0] :
( ~ equivalence(sK9,X0)
| ~ member(sK6(sK9,sK10),X0)
| ~ member(sK7(sK9,sK10),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_58])]) ).
fof(f2634,plain,
( ~ member(sK7(sK9,sK10),sK11)
| ~ member(sK6(sK9,sK10),sK11)
| ~ spl12_1
| ~ spl12_58 ),
inference(resolution,[],[f2454,f130]) ).
fof(f2454,plain,
( ! [X0] :
( ~ equivalence(sK9,X0)
| ~ member(sK6(sK9,sK10),X0)
| ~ member(sK7(sK9,sK10),X0) )
| ~ spl12_58 ),
inference(avatar_component_clause,[],[f2453]) ).
fof(f2455,plain,
( spl12_18
| spl12_58
| ~ spl12_39 ),
inference(avatar_split_clause,[],[f2451,f1330,f2453,f800]) ).
fof(f1330,plain,
( spl12_39
<=> apply(sK9,sK6(sK9,sK10),sK7(sK9,sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_39])]) ).
fof(f2451,plain,
( ! [X0] :
( ~ equivalence(sK9,X0)
| ~ member(sK7(sK9,sK10),X0)
| apply(sK9,sK7(sK9,sK10),sK6(sK9,sK10))
| ~ member(sK6(sK9,sK10),X0) )
| ~ spl12_39 ),
inference(resolution,[],[f1332,f109]) ).
fof(f109,plain,
! [X3,X0,X1,X4] :
( ~ apply(X0,X3,X4)
| ~ member(X3,X1)
| ~ member(X4,X1)
| apply(X0,X4,X3)
| ~ equivalence(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f1332,plain,
( apply(sK9,sK6(sK9,sK10),sK7(sK9,sK10))
| ~ spl12_39 ),
inference(avatar_component_clause,[],[f1330]) ).
fof(f2149,plain,
( spl12_17
| ~ spl12_13
| spl12_3
| spl12_28
| spl12_18
| ~ spl12_1
| ~ spl12_16 ),
inference(avatar_split_clause,[],[f1403,f779,f128,f800,f1180,f138,f667,f796]) ).
fof(f1403,plain,
( apply(sK9,sK7(sK9,sK10),sK6(sK9,sK10))
| apply(sK9,sK4(sK9,sK10),sK5(sK9,sK10))
| equivalence(sK9,sK10)
| ~ member(sK6(sK9,sK10),sK11)
| member(sK8(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_16 ),
inference(resolution,[],[f781,f657]) ).
fof(f657,plain,
( ! [X0] :
( ~ member(sK7(sK9,X0),sK11)
| equivalence(sK9,X0)
| ~ member(sK6(sK9,X0),sK11)
| apply(sK9,sK7(sK9,X0),sK6(sK9,X0))
| member(sK8(sK9,X0),X0)
| apply(sK9,sK4(sK9,X0),sK5(sK9,X0)) )
| ~ spl12_1 ),
inference(resolution,[],[f350,f130]) ).
fof(f350,plain,
! [X2,X0,X1] :
( ~ equivalence(X0,X2)
| apply(X0,sK7(X0,X1),sK6(X0,X1))
| ~ member(sK6(X0,X1),X2)
| ~ member(sK7(X0,X1),X2)
| equivalence(X0,X1)
| member(sK8(X0,X1),X1)
| apply(X0,sK4(X0,X1),sK5(X0,X1)) ),
inference(resolution,[],[f81,f109]) ).
fof(f81,plain,
! [X0,X1] :
( apply(X0,sK6(X0,X1),sK7(X0,X1))
| equivalence(X0,X1)
| member(sK8(X0,X1),X1)
| apply(X0,sK4(X0,X1),sK5(X0,X1)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f781,plain,
( member(sK7(sK9,sK10),sK11)
| ~ spl12_16 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f2148,plain,
( spl12_12
| spl12_24 ),
inference(avatar_split_clause,[],[f2026,f981,f652]) ).
fof(f652,plain,
( spl12_12
<=> sK4(sK9,sK10) = sK2(singleton(sK4(sK9,sK10)),sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
fof(f981,plain,
( spl12_24
<=> subset(singleton(sK4(sK9,sK10)),sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_24])]) ).
fof(f2026,plain,
( sK4(sK9,sK10) = sK2(singleton(sK4(sK9,sK10)),sK10)
| spl12_24 ),
inference(resolution,[],[f982,f160]) ).
fof(f982,plain,
( ~ subset(singleton(sK4(sK9,sK10)),sK10)
| spl12_24 ),
inference(avatar_component_clause,[],[f981]) ).
fof(f2147,plain,
( spl12_18
| ~ spl12_13
| spl12_3
| spl12_17
| spl12_8
| ~ spl12_1
| ~ spl12_16 ),
inference(avatar_split_clause,[],[f1405,f779,f128,f618,f796,f138,f667,f800]) ).
fof(f1405,plain,
( member(sK4(sK9,sK10),sK10)
| member(sK8(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| ~ member(sK6(sK9,sK10),sK11)
| apply(sK9,sK7(sK9,sK10),sK6(sK9,sK10))
| ~ spl12_1
| ~ spl12_16 ),
inference(resolution,[],[f781,f625]) ).
fof(f625,plain,
( ! [X0] :
( ~ member(sK7(sK9,X0),sK11)
| apply(sK9,sK7(sK9,X0),sK6(sK9,X0))
| equivalence(sK9,X0)
| ~ member(sK6(sK9,X0),sK11)
| member(sK8(sK9,X0),X0)
| member(sK4(sK9,X0),X0) )
| ~ spl12_1 ),
inference(resolution,[],[f257,f130]) ).
fof(f257,plain,
! [X2,X0,X1] :
( ~ equivalence(X0,X2)
| ~ member(sK6(X0,X1),X2)
| apply(X0,sK7(X0,X1),sK6(X0,X1))
| ~ member(sK7(X0,X1),X2)
| equivalence(X0,X1)
| member(sK4(X0,X1),X1)
| member(sK8(X0,X1),X1) ),
inference(resolution,[],[f73,f109]) ).
fof(f73,plain,
! [X0,X1] :
( apply(X0,sK6(X0,X1),sK7(X0,X1))
| member(sK4(X0,X1),X1)
| member(sK8(X0,X1),X1)
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f2146,plain,
( ~ spl12_13
| spl12_17
| spl12_18
| spl12_3
| spl12_35
| ~ spl12_1
| ~ spl12_16 ),
inference(avatar_split_clause,[],[f1402,f779,f128,f1279,f138,f800,f796,f667]) ).
fof(f1402,plain,
( apply(sK9,sK3(sK9,sK10),sK4(sK9,sK10))
| equivalence(sK9,sK10)
| apply(sK9,sK7(sK9,sK10),sK6(sK9,sK10))
| member(sK8(sK9,sK10),sK10)
| ~ member(sK6(sK9,sK10),sK11)
| ~ spl12_1
| ~ spl12_16 ),
inference(resolution,[],[f781,f671]) ).
fof(f671,plain,
( ! [X0] :
( ~ member(sK7(sK9,X0),sK11)
| ~ member(sK6(sK9,X0),sK11)
| apply(sK9,sK3(sK9,X0),sK4(sK9,X0))
| apply(sK9,sK7(sK9,X0),sK6(sK9,X0))
| member(sK8(sK9,X0),X0)
| equivalence(sK9,X0) )
| ~ spl12_1 ),
inference(resolution,[],[f371,f130]) ).
fof(f371,plain,
! [X2,X0,X1] :
( ~ equivalence(X0,X2)
| apply(X0,sK3(X0,X1),sK4(X0,X1))
| ~ member(sK7(X0,X1),X2)
| apply(X0,sK7(X0,X1),sK6(X0,X1))
| ~ member(sK6(X0,X1),X2)
| equivalence(X0,X1)
| member(sK8(X0,X1),X1) ),
inference(resolution,[],[f89,f109]) ).
fof(f89,plain,
! [X0,X1] :
( apply(X0,sK6(X0,X1),sK7(X0,X1))
| member(sK8(X0,X1),X1)
| apply(X0,sK3(X0,X1),sK4(X0,X1))
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f2145,plain,
( spl12_15
| spl12_51 ),
inference(avatar_split_clause,[],[f2027,f1609,f718]) ).
fof(f718,plain,
( spl12_15
<=> sK2(singleton(sK3(sK9,sK10)),sK10) = sK3(sK9,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).
fof(f1609,plain,
( spl12_51
<=> subset(singleton(sK3(sK9,sK10)),sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_51])]) ).
fof(f2027,plain,
( sK2(singleton(sK3(sK9,sK10)),sK10) = sK3(sK9,sK10)
| spl12_51 ),
inference(resolution,[],[f1610,f160]) ).
fof(f1610,plain,
( ~ subset(singleton(sK3(sK9,sK10)),sK10)
| spl12_51 ),
inference(avatar_component_clause,[],[f1609]) ).
fof(f2144,plain,
( spl12_17
| spl12_3
| spl12_7
| ~ spl12_18 ),
inference(avatar_split_clause,[],[f2137,f800,f613,f138,f796]) ).
fof(f2137,plain,
( member(sK5(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK8(sK9,sK10),sK10)
| ~ spl12_18 ),
inference(resolution,[],[f802,f101]) ).
fof(f101,plain,
! [X0,X1] :
( ~ apply(X0,sK7(X0,X1),sK6(X0,X1))
| equivalence(X0,X1)
| member(sK8(X0,X1),X1)
| member(sK5(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f2143,plain,
( spl12_6
| spl12_17
| spl12_3
| ~ spl12_18 ),
inference(avatar_split_clause,[],[f2127,f800,f138,f796,f608]) ).
fof(f2127,plain,
( equivalence(sK9,sK10)
| member(sK8(sK9,sK10),sK10)
| member(sK3(sK9,sK10),sK10)
| ~ spl12_18 ),
inference(resolution,[],[f802,f61]) ).
fof(f61,plain,
! [X0,X1] :
( ~ apply(X0,sK7(X0,X1),sK6(X0,X1))
| member(sK3(X0,X1),X1)
| equivalence(X0,X1)
| member(sK8(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f2142,plain,
( spl12_28
| spl12_3
| spl12_17
| ~ spl12_18 ),
inference(avatar_split_clause,[],[f2131,f800,f796,f138,f1180]) ).
fof(f2131,plain,
( member(sK8(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| apply(sK9,sK4(sK9,sK10),sK5(sK9,sK10))
| ~ spl12_18 ),
inference(resolution,[],[f802,f77]) ).
fof(f77,plain,
! [X0,X1] :
( ~ apply(X0,sK7(X0,X1),sK6(X0,X1))
| equivalence(X0,X1)
| apply(X0,sK4(X0,X1),sK5(X0,X1))
| member(sK8(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f2141,plain,
( spl12_17
| spl12_3
| spl12_8
| ~ spl12_18 ),
inference(avatar_split_clause,[],[f2129,f800,f618,f138,f796]) ).
fof(f2129,plain,
( member(sK4(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK8(sK9,sK10),sK10)
| ~ spl12_18 ),
inference(resolution,[],[f802,f69]) ).
fof(f69,plain,
! [X0,X1] :
( ~ apply(X0,sK7(X0,X1),sK6(X0,X1))
| equivalence(X0,X1)
| member(sK8(X0,X1),X1)
| member(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f2140,plain,
( spl12_35
| spl12_17
| spl12_3
| ~ spl12_18 ),
inference(avatar_split_clause,[],[f2133,f800,f138,f796,f1279]) ).
fof(f2133,plain,
( equivalence(sK9,sK10)
| member(sK8(sK9,sK10),sK10)
| apply(sK9,sK3(sK9,sK10),sK4(sK9,sK10))
| ~ spl12_18 ),
inference(resolution,[],[f802,f85]) ).
fof(f85,plain,
! [X0,X1] :
( ~ apply(X0,sK7(X0,X1),sK6(X0,X1))
| equivalence(X0,X1)
| member(sK8(X0,X1),X1)
| apply(X0,sK3(X0,X1),sK4(X0,X1)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f2071,plain,
( spl12_19
| spl12_53 ),
inference(avatar_split_clause,[],[f2070,f1835,f824]) ).
fof(f1835,plain,
( spl12_53
<=> subset(singleton(sK6(sK9,sK10)),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_53])]) ).
fof(f2070,plain,
( sK6(sK9,sK10) = sK2(singleton(sK6(sK9,sK10)),sK11)
| spl12_53 ),
inference(resolution,[],[f1836,f160]) ).
fof(f1836,plain,
( ~ subset(singleton(sK6(sK9,sK10)),sK11)
| spl12_53 ),
inference(avatar_component_clause,[],[f1835]) ).
fof(f1936,plain,
( spl12_57
| spl12_23 ),
inference(avatar_split_clause,[],[f1931,f899,f1933]) ).
fof(f1933,plain,
( spl12_57
<=> sK4(sK9,sK10) = sK2(singleton(sK4(sK9,sK10)),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_57])]) ).
fof(f1931,plain,
( sK4(sK9,sK10) = sK2(singleton(sK4(sK9,sK10)),sK11)
| spl12_23 ),
inference(resolution,[],[f900,f439]) ).
fof(f900,plain,
( ~ member(sK4(sK9,sK10),sK11)
| spl12_23 ),
inference(avatar_component_clause,[],[f899]) ).
fof(f1928,plain,
( spl12_56
| spl12_22 ),
inference(avatar_split_clause,[],[f1923,f884,f1925]) ).
fof(f884,plain,
( spl12_22
<=> member(sK5(sK9,sK10),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_22])]) ).
fof(f1923,plain,
( sK2(singleton(sK5(sK9,sK10)),sK11) = sK5(sK9,sK10)
| spl12_22 ),
inference(resolution,[],[f885,f439]) ).
fof(f885,plain,
( ~ member(sK5(sK9,sK10),sK11)
| spl12_22 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f1902,plain,
( spl12_55
| spl12_14 ),
inference(avatar_split_clause,[],[f1897,f697,f1899]) ).
fof(f1899,plain,
( spl12_55
<=> sK2(singleton(sK3(sK9,sK10)),sK11) = sK3(sK9,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_55])]) ).
fof(f697,plain,
( spl12_14
<=> member(sK3(sK9,sK10),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).
fof(f1897,plain,
( sK2(singleton(sK3(sK9,sK10)),sK11) = sK3(sK9,sK10)
| spl12_14 ),
inference(resolution,[],[f698,f439]) ).
fof(f698,plain,
( ~ member(sK3(sK9,sK10),sK11)
| spl12_14 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f1854,plain,
( spl12_6
| ~ spl12_51 ),
inference(avatar_split_clause,[],[f1613,f1609,f608]) ).
fof(f1613,plain,
( member(sK3(sK9,sK10),sK10)
| ~ spl12_51 ),
inference(resolution,[],[f1611,f150]) ).
fof(f1611,plain,
( subset(singleton(sK3(sK9,sK10)),sK10)
| ~ spl12_51 ),
inference(avatar_component_clause,[],[f1609]) ).
fof(f1853,plain,
( spl12_7
| spl12_6
| spl12_3
| spl12_4
| ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f680,f133,f128,f600,f138,f608,f613]) ).
fof(f600,plain,
( spl12_4
<=> member(sK6(sK9,sK10),sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f680,plain,
( member(sK6(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK3(sK9,sK10),sK10)
| member(sK5(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(duplicate_literal_removal,[],[f672]) ).
fof(f672,plain,
( member(sK3(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK6(sK9,sK10),sK10)
| member(sK5(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK6(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(resolution,[],[f511,f312]) ).
fof(f511,plain,
( ! [X22] :
( member(sK8(X22,sK10),sK11)
| member(sK6(X22,sK10),sK10)
| equivalence(X22,sK10)
| member(sK3(X22,sK10),sK10) )
| ~ spl12_2 ),
inference(resolution,[],[f163,f135]) ).
fof(f163,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| member(sK8(X0,X1),X2)
| equivalence(X0,X1)
| member(sK6(X0,X1),X1)
| member(sK3(X0,X1),X1) ),
inference(resolution,[],[f67,f56]) ).
fof(f67,plain,
! [X0,X1] :
( member(sK8(X0,X1),X1)
| equivalence(X0,X1)
| member(sK6(X0,X1),X1)
| member(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f1852,plain,
( spl12_7
| spl12_6
| spl12_4
| spl12_3
| ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f759,f133,f128,f138,f600,f608,f613]) ).
fof(f759,plain,
( equivalence(sK9,sK10)
| member(sK6(sK9,sK10),sK10)
| member(sK3(sK9,sK10),sK10)
| member(sK5(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(duplicate_literal_removal,[],[f754]) ).
fof(f754,plain,
( member(sK3(sK9,sK10),sK10)
| member(sK5(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK6(sK9,sK10),sK10)
| member(sK6(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(resolution,[],[f563,f231]) ).
fof(f231,plain,
( ! [X0] :
( ~ member(sK8(sK9,X0),sK11)
| equivalence(sK9,X0)
| member(sK3(sK9,X0),X0)
| member(sK6(sK9,X0),X0) )
| ~ spl12_1 ),
inference(resolution,[],[f68,f151]) ).
fof(f68,plain,
! [X0,X1] :
( ~ apply(X0,sK8(X0,X1),sK8(X0,X1))
| equivalence(X0,X1)
| member(sK3(X0,X1),X1)
| member(sK6(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f563,plain,
( ! [X22] :
( member(sK8(X22,sK10),sK11)
| member(sK6(X22,sK10),sK10)
| member(sK5(X22,sK10),sK10)
| equivalence(X22,sK10) )
| ~ spl12_2 ),
inference(resolution,[],[f197,f135]) ).
fof(f197,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| member(sK5(X0,X1),X1)
| member(sK6(X0,X1),X1)
| member(sK8(X0,X1),X2)
| equivalence(X0,X1) ),
inference(resolution,[],[f107,f56]) ).
fof(f107,plain,
! [X0,X1] :
( member(sK8(X0,X1),X1)
| equivalence(X0,X1)
| member(sK5(X0,X1),X1)
| member(sK6(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f1851,plain,
( ~ spl12_30
| spl12_28
| spl12_3
| ~ spl12_1
| spl12_39 ),
inference(avatar_split_clause,[],[f1519,f1330,f128,f138,f1180,f1194]) ).
fof(f1519,plain,
( equivalence(sK9,sK10)
| apply(sK9,sK4(sK9,sK10),sK5(sK9,sK10))
| ~ member(sK8(sK9,sK10),sK11)
| ~ spl12_1
| spl12_39 ),
inference(resolution,[],[f1331,f435]) ).
fof(f435,plain,
( ! [X0] :
( apply(sK9,sK6(sK9,X0),sK7(sK9,X0))
| ~ member(sK8(sK9,X0),sK11)
| equivalence(sK9,X0)
| apply(sK9,sK4(sK9,X0),sK5(sK9,X0)) )
| ~ spl12_1 ),
inference(resolution,[],[f82,f151]) ).
fof(f82,plain,
! [X0,X1] :
( ~ apply(X0,sK8(X0,X1),sK8(X0,X1))
| apply(X0,sK4(X0,X1),sK5(X0,X1))
| apply(X0,sK6(X0,X1),sK7(X0,X1))
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f1331,plain,
( ~ apply(sK9,sK6(sK9,sK10),sK7(sK9,sK10))
| spl12_39 ),
inference(avatar_component_clause,[],[f1330]) ).
fof(f1850,plain,
( spl12_3
| spl12_7
| spl12_17
| spl12_39 ),
inference(avatar_split_clause,[],[f1525,f1330,f796,f613,f138]) ).
fof(f1525,plain,
( member(sK8(sK9,sK10),sK10)
| member(sK5(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| spl12_39 ),
inference(resolution,[],[f1331,f105]) ).
fof(f105,plain,
! [X0,X1] :
( apply(X0,sK6(X0,X1),sK7(X0,X1))
| member(sK8(X0,X1),X1)
| equivalence(X0,X1)
| member(sK5(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f1849,plain,
( spl12_28
| spl12_3
| spl12_17
| spl12_39 ),
inference(avatar_split_clause,[],[f1524,f1330,f796,f138,f1180]) ).
fof(f1524,plain,
( member(sK8(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| apply(sK9,sK4(sK9,sK10),sK5(sK9,sK10))
| spl12_39 ),
inference(resolution,[],[f1331,f81]) ).
fof(f1848,plain,
( spl12_17
| spl12_3
| spl12_8
| spl12_39 ),
inference(avatar_split_clause,[],[f1526,f1330,f618,f138,f796]) ).
fof(f1526,plain,
( member(sK4(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK8(sK9,sK10),sK10)
| spl12_39 ),
inference(resolution,[],[f1331,f73]) ).
fof(f1847,plain,
( spl12_8
| spl12_7
| spl12_4
| spl12_3
| ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f731,f133,f128,f138,f600,f613,f618]) ).
fof(f731,plain,
( equivalence(sK9,sK10)
| member(sK6(sK9,sK10),sK10)
| member(sK5(sK9,sK10),sK10)
| member(sK4(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(duplicate_literal_removal,[],[f722]) ).
fof(f722,plain,
( member(sK4(sK9,sK10),sK10)
| member(sK6(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK6(sK9,sK10),sK10)
| member(sK5(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(resolution,[],[f535,f312]) ).
fof(f535,plain,
( ! [X22] :
( member(sK8(X22,sK10),sK11)
| equivalence(X22,sK10)
| member(sK4(X22,sK10),sK10)
| member(sK6(X22,sK10),sK10) )
| ~ spl12_2 ),
inference(resolution,[],[f173,f135]) ).
fof(f173,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| equivalence(X0,X1)
| member(sK8(X0,X1),X2)
| member(sK6(X0,X1),X1)
| member(sK4(X0,X1),X1) ),
inference(resolution,[],[f75,f56]) ).
fof(f75,plain,
! [X0,X1] :
( member(sK8(X0,X1),X1)
| member(sK4(X0,X1),X1)
| member(sK6(X0,X1),X1)
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f1846,plain,
( spl12_3
| spl12_35
| spl12_17
| spl12_39 ),
inference(avatar_split_clause,[],[f1523,f1330,f796,f1279,f138]) ).
fof(f1523,plain,
( member(sK8(sK9,sK10),sK10)
| apply(sK9,sK3(sK9,sK10),sK4(sK9,sK10))
| equivalence(sK9,sK10)
| spl12_39 ),
inference(resolution,[],[f1331,f89]) ).
fof(f1845,plain,
( spl12_3
| spl12_17
| ~ spl12_13
| spl12_18
| spl12_6
| ~ spl12_1
| ~ spl12_16 ),
inference(avatar_split_clause,[],[f1406,f779,f128,f608,f800,f667,f796,f138]) ).
fof(f1406,plain,
( member(sK3(sK9,sK10),sK10)
| apply(sK9,sK7(sK9,sK10),sK6(sK9,sK10))
| ~ member(sK6(sK9,sK10),sK11)
| member(sK8(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| ~ spl12_1
| ~ spl12_16 ),
inference(resolution,[],[f781,f584]) ).
fof(f584,plain,
( ! [X0] :
( ~ member(sK7(sK9,X0),sK11)
| member(sK8(sK9,X0),X0)
| equivalence(sK9,X0)
| member(sK3(sK9,X0),X0)
| apply(sK9,sK7(sK9,X0),sK6(sK9,X0))
| ~ member(sK6(sK9,X0),sK11) )
| ~ spl12_1 ),
inference(resolution,[],[f230,f130]) ).
fof(f230,plain,
! [X2,X0,X1] :
( ~ equivalence(X0,X2)
| equivalence(X0,X1)
| member(sK3(X0,X1),X1)
| apply(X0,sK7(X0,X1),sK6(X0,X1))
| member(sK8(X0,X1),X1)
| ~ member(sK7(X0,X1),X2)
| ~ member(sK6(X0,X1),X2) ),
inference(resolution,[],[f65,f109]) ).
fof(f65,plain,
! [X0,X1] :
( apply(X0,sK6(X0,X1),sK7(X0,X1))
| member(sK8(X0,X1),X1)
| equivalence(X0,X1)
| member(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f1844,plain,
( spl12_6
| spl12_3
| spl12_17
| spl12_39 ),
inference(avatar_split_clause,[],[f1527,f1330,f796,f138,f608]) ).
fof(f1527,plain,
( member(sK8(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK3(sK9,sK10),sK10)
| spl12_39 ),
inference(resolution,[],[f1331,f65]) ).
fof(f1843,plain,
( ~ spl12_30
| spl12_8
| spl12_3
| ~ spl12_1
| spl12_39 ),
inference(avatar_split_clause,[],[f1521,f1330,f128,f138,f618,f1194]) ).
fof(f1521,plain,
( equivalence(sK9,sK10)
| member(sK4(sK9,sK10),sK10)
| ~ member(sK8(sK9,sK10),sK11)
| ~ spl12_1
| spl12_39 ),
inference(resolution,[],[f1331,f344]) ).
fof(f344,plain,
( ! [X0] :
( apply(sK9,sK6(sK9,X0),sK7(sK9,X0))
| equivalence(sK9,X0)
| ~ member(sK8(sK9,X0),sK11)
| member(sK4(sK9,X0),X0) )
| ~ spl12_1 ),
inference(resolution,[],[f74,f151]) ).
fof(f74,plain,
! [X0,X1] :
( ~ apply(X0,sK8(X0,X1),sK8(X0,X1))
| member(sK4(X0,X1),X1)
| apply(X0,sK6(X0,X1),sK7(X0,X1))
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f1842,plain,
( spl12_6
| spl12_54
| ~ spl12_51 ),
inference(avatar_split_clause,[],[f1621,f1609,f1840,f608]) ).
fof(f1840,plain,
( spl12_54
<=> ! [X0] : subset(singleton(sK3(sK9,sK10)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_54])]) ).
fof(f1621,plain,
( ! [X0] :
( subset(singleton(sK3(sK9,sK10)),X0)
| member(sK3(sK9,sK10),sK10) )
| ~ spl12_51 ),
inference(forward_subsumption_demodulation,[],[f1614,f160]) ).
fof(f1614,plain,
( ! [X0] :
( subset(singleton(sK3(sK9,sK10)),X0)
| member(sK2(singleton(sK3(sK9,sK10)),X0),sK10) )
| ~ spl12_51 ),
inference(resolution,[],[f1611,f149]) ).
fof(f149,plain,
! [X3,X4,X5] :
( ~ subset(X3,X4)
| member(sK2(X3,X5),X4)
| subset(X3,X5) ),
inference(resolution,[],[f56,f54]) ).
fof(f1838,plain,
( spl12_53
| ~ spl12_13
| ~ spl12_19 ),
inference(avatar_split_clause,[],[f1018,f824,f667,f1835]) ).
fof(f1018,plain,
( ~ member(sK6(sK9,sK10),sK11)
| subset(singleton(sK6(sK9,sK10)),sK11)
| ~ spl12_19 ),
inference(superposition,[],[f55,f826]) ).
fof(f826,plain,
( sK6(sK9,sK10) = sK2(singleton(sK6(sK9,sK10)),sK11)
| ~ spl12_19 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f1833,plain,
( spl12_3
| ~ spl12_30
| spl12_7
| ~ spl12_1
| spl12_39 ),
inference(avatar_split_clause,[],[f1520,f1330,f128,f613,f1194,f138]) ).
fof(f1520,plain,
( member(sK5(sK9,sK10),sK10)
| ~ member(sK8(sK9,sK10),sK11)
| equivalence(sK9,sK10)
| ~ spl12_1
| spl12_39 ),
inference(resolution,[],[f1331,f413]) ).
fof(f413,plain,
( ! [X0] :
( apply(sK9,sK6(sK9,X0),sK7(sK9,X0))
| ~ member(sK8(sK9,X0),sK11)
| member(sK5(sK9,X0),X0)
| equivalence(sK9,X0) )
| ~ spl12_1 ),
inference(resolution,[],[f106,f151]) ).
fof(f106,plain,
! [X0,X1] :
( ~ apply(X0,sK8(X0,X1),sK8(X0,X1))
| apply(X0,sK6(X0,X1),sK7(X0,X1))
| equivalence(X0,X1)
| member(sK5(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f1832,plain,
( spl12_6
| spl12_3
| ~ spl12_30
| ~ spl12_1
| spl12_39 ),
inference(avatar_split_clause,[],[f1522,f1330,f128,f1194,f138,f608]) ).
fof(f1522,plain,
( ~ member(sK8(sK9,sK10),sK11)
| equivalence(sK9,sK10)
| member(sK3(sK9,sK10),sK10)
| ~ spl12_1
| spl12_39 ),
inference(resolution,[],[f1331,f325]) ).
fof(f325,plain,
( ! [X0] :
( apply(sK9,sK6(sK9,X0),sK7(sK9,X0))
| member(sK3(sK9,X0),X0)
| ~ member(sK8(sK9,X0),sK11)
| equivalence(sK9,X0) )
| ~ spl12_1 ),
inference(resolution,[],[f66,f151]) ).
fof(f66,plain,
! [X0,X1] :
( ~ apply(X0,sK8(X0,X1),sK8(X0,X1))
| equivalence(X0,X1)
| member(sK3(X0,X1),X1)
| apply(X0,sK6(X0,X1),sK7(X0,X1)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f1831,plain,
( ~ spl12_22
| ~ spl12_14
| ~ spl12_1
| ~ spl12_42 ),
inference(avatar_split_clause,[],[f1830,f1347,f128,f697,f884]) ).
fof(f1347,plain,
( spl12_42
<=> ! [X0] :
( ~ equivalence(sK9,X0)
| ~ member(sK3(sK9,sK10),X0)
| ~ member(sK5(sK9,sK10),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_42])]) ).
fof(f1830,plain,
( ~ member(sK3(sK9,sK10),sK11)
| ~ member(sK5(sK9,sK10),sK11)
| ~ spl12_1
| ~ spl12_42 ),
inference(resolution,[],[f1348,f130]) ).
fof(f1348,plain,
( ! [X0] :
( ~ equivalence(sK9,X0)
| ~ member(sK5(sK9,sK10),X0)
| ~ member(sK3(sK9,sK10),X0) )
| ~ spl12_42 ),
inference(avatar_component_clause,[],[f1347]) ).
fof(f1775,plain,
( ~ spl12_30
| spl12_35
| spl12_3
| ~ spl12_1
| spl12_39 ),
inference(avatar_split_clause,[],[f1518,f1330,f128,f138,f1279,f1194]) ).
fof(f1518,plain,
( equivalence(sK9,sK10)
| apply(sK9,sK3(sK9,sK10),sK4(sK9,sK10))
| ~ member(sK8(sK9,sK10),sK11)
| ~ spl12_1
| spl12_39 ),
inference(resolution,[],[f1331,f437]) ).
fof(f437,plain,
( ! [X0] :
( apply(sK9,sK6(sK9,X0),sK7(sK9,X0))
| equivalence(sK9,X0)
| ~ member(sK8(sK9,X0),sK11)
| apply(sK9,sK3(sK9,X0),sK4(sK9,X0)) )
| ~ spl12_1 ),
inference(resolution,[],[f90,f151]) ).
fof(f90,plain,
! [X0,X1] :
( ~ apply(X0,sK8(X0,X1),sK8(X0,X1))
| equivalence(X0,X1)
| apply(X0,sK3(X0,X1),sK4(X0,X1))
| apply(X0,sK6(X0,X1),sK7(X0,X1)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f1774,plain,
( spl12_3
| spl12_4
| spl12_35
| ~ spl12_40 ),
inference(avatar_split_clause,[],[f1554,f1335,f1279,f600,f138]) ).
fof(f1554,plain,
( apply(sK9,sK3(sK9,sK10),sK4(sK9,sK10))
| member(sK6(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| ~ spl12_40 ),
inference(resolution,[],[f1336,f92]) ).
fof(f92,plain,
! [X0,X1] :
( ~ apply(X0,sK8(X0,X1),sK8(X0,X1))
| apply(X0,sK3(X0,X1),sK4(X0,X1))
| equivalence(X0,X1)
| member(sK6(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f1336,plain,
( apply(sK9,sK8(sK9,sK10),sK8(sK9,sK10))
| ~ spl12_40 ),
inference(avatar_component_clause,[],[f1335]) ).
fof(f1773,plain,
( spl12_39
| spl12_35
| spl12_3
| ~ spl12_40 ),
inference(avatar_split_clause,[],[f1553,f1335,f138,f1279,f1330]) ).
fof(f1553,plain,
( equivalence(sK9,sK10)
| apply(sK9,sK3(sK9,sK10),sK4(sK9,sK10))
| apply(sK9,sK6(sK9,sK10),sK7(sK9,sK10))
| ~ spl12_40 ),
inference(resolution,[],[f1336,f90]) ).
fof(f1772,plain,
( ~ spl12_23
| ~ spl12_14
| ~ spl12_1
| ~ spl12_36 ),
inference(avatar_split_clause,[],[f1771,f1294,f128,f697,f899]) ).
fof(f1294,plain,
( spl12_36
<=> ! [X1] :
( ~ equivalence(sK9,X1)
| ~ member(sK4(sK9,sK10),X1)
| ~ member(sK3(sK9,sK10),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_36])]) ).
fof(f1771,plain,
( ~ member(sK3(sK9,sK10),sK11)
| ~ member(sK4(sK9,sK10),sK11)
| ~ spl12_1
| ~ spl12_36 ),
inference(resolution,[],[f1295,f130]) ).
fof(f1295,plain,
( ! [X1] :
( ~ equivalence(sK9,X1)
| ~ member(sK3(sK9,sK10),X1)
| ~ member(sK4(sK9,sK10),X1) )
| ~ spl12_36 ),
inference(avatar_component_clause,[],[f1294]) ).
fof(f1732,plain,
( ~ spl12_14
| spl12_52
| ~ spl12_1
| ~ spl12_22
| ~ spl12_41 ),
inference(avatar_split_clause,[],[f1726,f1343,f884,f128,f1730,f697]) ).
fof(f1730,plain,
( spl12_52
<=> ! [X0] :
( ~ apply(sK9,X0,sK5(sK9,sK10))
| ~ member(X0,sK11)
| apply(sK9,X0,sK3(sK9,sK10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_52])]) ).
fof(f1343,plain,
( spl12_41
<=> apply(sK9,sK5(sK9,sK10),sK3(sK9,sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_41])]) ).
fof(f1726,plain,
( ! [X0] :
( ~ apply(sK9,X0,sK5(sK9,sK10))
| ~ member(sK3(sK9,sK10),sK11)
| apply(sK9,X0,sK3(sK9,sK10))
| ~ member(X0,sK11) )
| ~ spl12_1
| ~ spl12_22
| ~ spl12_41 ),
inference(resolution,[],[f1345,f888]) ).
fof(f888,plain,
( ! [X0,X1] :
( ~ apply(sK9,sK5(sK9,sK10),X1)
| apply(sK9,X0,X1)
| ~ member(X1,sK11)
| ~ member(X0,sK11)
| ~ apply(sK9,X0,sK5(sK9,sK10)) )
| ~ spl12_1
| ~ spl12_22 ),
inference(resolution,[],[f886,f422]) ).
fof(f886,plain,
( member(sK5(sK9,sK10),sK11)
| ~ spl12_22 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f1345,plain,
( apply(sK9,sK5(sK9,sK10),sK3(sK9,sK10))
| ~ spl12_41 ),
inference(avatar_component_clause,[],[f1343]) ).
fof(f1728,plain,
( spl12_42
| spl12_31
| ~ spl12_41 ),
inference(avatar_split_clause,[],[f1727,f1343,f1201,f1347]) ).
fof(f1727,plain,
( ! [X1] :
( apply(sK9,sK3(sK9,sK10),sK5(sK9,sK10))
| ~ member(sK5(sK9,sK10),X1)
| ~ member(sK3(sK9,sK10),X1)
| ~ equivalence(sK9,X1) )
| ~ spl12_41 ),
inference(resolution,[],[f1345,f109]) ).
fof(f1725,plain,
( spl12_41
| ~ spl12_14
| ~ spl12_34
| ~ spl12_37 ),
inference(avatar_split_clause,[],[f1712,f1297,f1255,f697,f1343]) ).
fof(f1255,plain,
( spl12_34
<=> ! [X6] :
( ~ member(X6,sK11)
| apply(sK9,sK5(sK9,sK10),X6)
| ~ apply(sK9,sK4(sK9,sK10),X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_34])]) ).
fof(f1297,plain,
( spl12_37
<=> apply(sK9,sK4(sK9,sK10),sK3(sK9,sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_37])]) ).
fof(f1712,plain,
( ~ member(sK3(sK9,sK10),sK11)
| apply(sK9,sK5(sK9,sK10),sK3(sK9,sK10))
| ~ spl12_34
| ~ spl12_37 ),
inference(resolution,[],[f1256,f1299]) ).
fof(f1299,plain,
( apply(sK9,sK4(sK9,sK10),sK3(sK9,sK10))
| ~ spl12_37 ),
inference(avatar_component_clause,[],[f1297]) ).
fof(f1256,plain,
( ! [X6] :
( ~ apply(sK9,sK4(sK9,sK10),X6)
| apply(sK9,sK5(sK9,sK10),X6)
| ~ member(X6,sK11) )
| ~ spl12_34 ),
inference(avatar_component_clause,[],[f1255]) ).
fof(f1676,plain,
( ~ spl12_23
| spl12_26
| ~ spl12_1
| ~ spl12_22
| ~ spl12_27 ),
inference(avatar_split_clause,[],[f1674,f1156,f884,f128,f1144,f899]) ).
fof(f1144,plain,
( spl12_26
<=> ! [X1] :
( ~ member(X1,sK11)
| ~ apply(sK9,X1,sK5(sK9,sK10))
| apply(sK9,X1,sK4(sK9,sK10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_26])]) ).
fof(f1156,plain,
( spl12_27
<=> apply(sK9,sK5(sK9,sK10),sK4(sK9,sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_27])]) ).
fof(f1674,plain,
( ! [X0] :
( ~ apply(sK9,X0,sK5(sK9,sK10))
| apply(sK9,X0,sK4(sK9,sK10))
| ~ member(X0,sK11)
| ~ member(sK4(sK9,sK10),sK11) )
| ~ spl12_1
| ~ spl12_22
| ~ spl12_27 ),
inference(resolution,[],[f1158,f888]) ).
fof(f1158,plain,
( apply(sK9,sK5(sK9,sK10),sK4(sK9,sK10))
| ~ spl12_27 ),
inference(avatar_component_clause,[],[f1156]) ).
fof(f1645,plain,
( ~ spl12_22
| ~ spl12_23
| ~ spl12_1
| ~ spl12_29 ),
inference(avatar_split_clause,[],[f1644,f1184,f128,f899,f884]) ).
fof(f1184,plain,
( spl12_29
<=> ! [X1] :
( ~ member(sK4(sK9,sK10),X1)
| ~ equivalence(sK9,X1)
| ~ member(sK5(sK9,sK10),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_29])]) ).
fof(f1644,plain,
( ~ member(sK4(sK9,sK10),sK11)
| ~ member(sK5(sK9,sK10),sK11)
| ~ spl12_1
| ~ spl12_29 ),
inference(resolution,[],[f1185,f130]) ).
fof(f1185,plain,
( ! [X1] :
( ~ equivalence(sK9,X1)
| ~ member(sK4(sK9,sK10),X1)
| ~ member(sK5(sK9,sK10),X1) )
| ~ spl12_29 ),
inference(avatar_component_clause,[],[f1184]) ).
fof(f1612,plain,
( spl12_51
| ~ spl12_6
| ~ spl12_15 ),
inference(avatar_split_clause,[],[f1606,f718,f608,f1609]) ).
fof(f1606,plain,
( ~ member(sK3(sK9,sK10),sK10)
| subset(singleton(sK3(sK9,sK10)),sK10)
| ~ spl12_15 ),
inference(superposition,[],[f55,f720]) ).
fof(f720,plain,
( sK2(singleton(sK3(sK9,sK10)),sK10) = sK3(sK9,sK10)
| ~ spl12_15 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f1533,plain,
( ~ spl12_30
| ~ spl12_1
| spl12_40 ),
inference(avatar_split_clause,[],[f1532,f1335,f128,f1194]) ).
fof(f1532,plain,
( ~ member(sK8(sK9,sK10),sK11)
| ~ spl12_1
| spl12_40 ),
inference(resolution,[],[f1337,f151]) ).
fof(f1337,plain,
( ~ apply(sK9,sK8(sK9,sK10),sK8(sK9,sK10))
| spl12_40 ),
inference(avatar_component_clause,[],[f1335]) ).
fof(f1513,plain,
( ~ spl12_14
| ~ spl12_1
| spl12_38 ),
inference(avatar_split_clause,[],[f1512,f1305,f128,f697]) ).
fof(f1305,plain,
( spl12_38
<=> apply(sK9,sK3(sK9,sK10),sK3(sK9,sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_38])]) ).
fof(f1512,plain,
( ~ member(sK3(sK9,sK10),sK11)
| ~ spl12_1
| spl12_38 ),
inference(resolution,[],[f1307,f151]) ).
fof(f1307,plain,
( ~ apply(sK9,sK3(sK9,sK10),sK3(sK9,sK10))
| spl12_38 ),
inference(avatar_component_clause,[],[f1305]) ).
fof(f1508,plain,
( spl12_27
| spl12_29
| ~ spl12_28 ),
inference(avatar_split_clause,[],[f1507,f1180,f1184,f1156]) ).
fof(f1507,plain,
( ! [X0] :
( ~ member(sK4(sK9,sK10),X0)
| apply(sK9,sK5(sK9,sK10),sK4(sK9,sK10))
| ~ equivalence(sK9,X0)
| ~ member(sK5(sK9,sK10),X0) )
| ~ spl12_28 ),
inference(resolution,[],[f1182,f109]) ).
fof(f1492,plain,
( spl12_32
| spl12_50 ),
inference(avatar_split_clause,[],[f1491,f1477,f1216]) ).
fof(f1216,plain,
( spl12_32
<=> sK8(sK9,sK10) = sK2(singleton(sK8(sK9,sK10)),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_32])]) ).
fof(f1477,plain,
( spl12_50
<=> subset(singleton(sK8(sK9,sK10)),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_50])]) ).
fof(f1491,plain,
( sK8(sK9,sK10) = sK2(singleton(sK8(sK9,sK10)),sK11)
| spl12_50 ),
inference(resolution,[],[f1478,f160]) ).
fof(f1478,plain,
( ~ subset(singleton(sK8(sK9,sK10)),sK11)
| spl12_50 ),
inference(avatar_component_clause,[],[f1477]) ).
fof(f1480,plain,
( spl12_50
| ~ spl12_30
| ~ spl12_32 ),
inference(avatar_split_clause,[],[f1231,f1216,f1194,f1477]) ).
fof(f1231,plain,
( ~ member(sK8(sK9,sK10),sK11)
| subset(singleton(sK8(sK9,sK10)),sK11)
| ~ spl12_32 ),
inference(superposition,[],[f55,f1218]) ).
fof(f1218,plain,
( sK8(sK9,sK10) = sK2(singleton(sK8(sK9,sK10)),sK11)
| ~ spl12_32 ),
inference(avatar_component_clause,[],[f1216]) ).
fof(f1475,plain,
( spl12_30
| ~ spl12_2
| ~ spl12_17 ),
inference(avatar_split_clause,[],[f1467,f796,f133,f1194]) ).
fof(f1467,plain,
( member(sK8(sK9,sK10),sK11)
| ~ spl12_2
| ~ spl12_17 ),
inference(resolution,[],[f1417,f135]) ).
fof(f1417,plain,
( ! [X0] :
( ~ subset(sK10,X0)
| member(sK8(sK9,sK10),X0) )
| ~ spl12_17 ),
inference(resolution,[],[f798,f56]) ).
fof(f798,plain,
( member(sK8(sK9,sK10),sK10)
| ~ spl12_17 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f1387,plain,
( spl12_8
| spl12_3
| spl12_4
| ~ spl12_2
| spl12_30 ),
inference(avatar_split_clause,[],[f1210,f1194,f133,f600,f138,f618]) ).
fof(f1210,plain,
( member(sK6(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK4(sK9,sK10),sK10)
| ~ spl12_2
| spl12_30 ),
inference(resolution,[],[f1196,f535]) ).
fof(f1196,plain,
( ~ member(sK8(sK9,sK10),sK11)
| spl12_30 ),
inference(avatar_component_clause,[],[f1194]) ).
fof(f1386,plain,
( spl12_3
| spl12_6
| spl12_4
| ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f684,f133,f128,f600,f608,f138]) ).
fof(f684,plain,
( member(sK6(sK9,sK10),sK10)
| member(sK3(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(duplicate_literal_removal,[],[f676]) ).
fof(f676,plain,
( member(sK3(sK9,sK10),sK10)
| member(sK6(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK3(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK6(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(resolution,[],[f511,f231]) ).
fof(f1385,plain,
( spl12_8
| spl12_4
| spl12_3
| spl12_17 ),
inference(avatar_split_clause,[],[f842,f796,f138,f600,f618]) ).
fof(f842,plain,
( equivalence(sK9,sK10)
| member(sK6(sK9,sK10),sK10)
| member(sK4(sK9,sK10),sK10)
| spl12_17 ),
inference(resolution,[],[f797,f75]) ).
fof(f797,plain,
( ~ member(sK8(sK9,sK10),sK10)
| spl12_17 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f1384,plain,
( spl12_8
| spl12_49
| ~ spl12_24 ),
inference(avatar_split_clause,[],[f995,f981,f1382,f618]) ).
fof(f1382,plain,
( spl12_49
<=> ! [X3] :
( equivalence(X3,singleton(sK4(sK9,sK10)))
| member(sK4(X3,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10)))
| member(sK7(X3,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_49])]) ).
fof(f995,plain,
( ! [X3] :
( equivalence(X3,singleton(sK4(sK9,sK10)))
| member(sK4(sK9,sK10),sK10)
| member(sK7(X3,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10)))
| member(sK4(X3,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10))) )
| ~ spl12_24 ),
inference(forward_subsumption_demodulation,[],[f989,f170]) ).
fof(f170,plain,
! [X6,X7] :
( member(sK7(X6,singleton(X7)),singleton(X7))
| equivalence(X6,singleton(X7))
| sK8(X6,singleton(X7)) = X7
| member(sK4(X6,singleton(X7)),singleton(X7)) ),
inference(resolution,[],[f71,f117]) ).
fof(f989,plain,
( ! [X3] :
( member(sK8(X3,singleton(sK4(sK9,sK10))),sK10)
| member(sK4(X3,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10)))
| member(sK7(X3,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10)))
| equivalence(X3,singleton(sK4(sK9,sK10))) )
| ~ spl12_24 ),
inference(resolution,[],[f983,f167]) ).
fof(f983,plain,
( subset(singleton(sK4(sK9,sK10)),sK10)
| ~ spl12_24 ),
inference(avatar_component_clause,[],[f981]) ).
fof(f1380,plain,
( spl12_8
| spl12_4
| spl12_3
| ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f732,f133,f128,f138,f600,f618]) ).
fof(f732,plain,
( equivalence(sK9,sK10)
| member(sK6(sK9,sK10),sK10)
| member(sK4(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(duplicate_literal_removal,[],[f724]) ).
fof(f724,plain,
( member(sK4(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK4(sK9,sK10),sK10)
| member(sK6(sK9,sK10),sK10)
| member(sK6(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(resolution,[],[f535,f258]) ).
fof(f258,plain,
( ! [X0] :
( ~ member(sK8(sK9,X0),sK11)
| member(sK4(sK9,X0),X0)
| member(sK6(sK9,X0),X0)
| equivalence(sK9,X0) )
| ~ spl12_1 ),
inference(resolution,[],[f76,f151]) ).
fof(f76,plain,
! [X0,X1] :
( ~ apply(X0,sK8(X0,X1),sK8(X0,X1))
| member(sK4(X0,X1),X1)
| member(sK6(X0,X1),X1)
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f1379,plain,
( spl12_8
| spl12_48
| ~ spl12_24 ),
inference(avatar_split_clause,[],[f996,f981,f1377,f618]) ).
fof(f1377,plain,
( spl12_48
<=> ! [X6] :
( member(sK5(X6,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10)))
| equivalence(X6,singleton(sK4(sK9,sK10)))
| member(sK6(X6,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_48])]) ).
fof(f996,plain,
( ! [X6] :
( member(sK5(X6,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10)))
| member(sK6(X6,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10)))
| member(sK4(sK9,sK10),sK10)
| equivalence(X6,singleton(sK4(sK9,sK10))) )
| ~ spl12_24 ),
inference(forward_subsumption_demodulation,[],[f992,f202]) ).
fof(f202,plain,
! [X12,X13] :
( member(sK6(X12,singleton(X13)),singleton(X13))
| sK8(X12,singleton(X13)) = X13
| equivalence(X12,singleton(X13))
| member(sK5(X12,singleton(X13)),singleton(X13)) ),
inference(resolution,[],[f107,f117]) ).
fof(f992,plain,
( ! [X6] :
( member(sK5(X6,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10)))
| member(sK8(X6,singleton(sK4(sK9,sK10))),sK10)
| equivalence(X6,singleton(sK4(sK9,sK10)))
| member(sK6(X6,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10))) )
| ~ spl12_24 ),
inference(resolution,[],[f983,f197]) ).
fof(f1375,plain,
( spl12_6
| spl12_4
| spl12_3
| spl12_17 ),
inference(avatar_split_clause,[],[f844,f796,f138,f600,f608]) ).
fof(f844,plain,
( equivalence(sK9,sK10)
| member(sK6(sK9,sK10),sK10)
| member(sK3(sK9,sK10),sK10)
| spl12_17 ),
inference(resolution,[],[f797,f67]) ).
fof(f1374,plain,
( spl12_8
| spl12_47
| ~ spl12_24 ),
inference(avatar_split_clause,[],[f998,f981,f1372,f618]) ).
fof(f1372,plain,
( spl12_47
<=> ! [X5] :
( member(sK7(X5,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10)))
| equivalence(X5,singleton(sK4(sK9,sK10)))
| member(sK5(X5,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_47])]) ).
fof(f998,plain,
( ! [X5] :
( member(sK7(X5,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10)))
| member(sK5(X5,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10)))
| equivalence(X5,singleton(sK4(sK9,sK10)))
| member(sK4(sK9,sK10),sK10) )
| ~ spl12_24 ),
inference(forward_subsumption_demodulation,[],[f991,f196]) ).
fof(f196,plain,
! [X12,X13] :
( member(sK7(X12,singleton(X13)),singleton(X13))
| sK8(X12,singleton(X13)) = X13
| member(sK5(X12,singleton(X13)),singleton(X13))
| equivalence(X12,singleton(X13)) ),
inference(resolution,[],[f103,f117]) ).
fof(f991,plain,
( ! [X5] :
( member(sK5(X5,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10)))
| member(sK8(X5,singleton(sK4(sK9,sK10))),sK10)
| member(sK7(X5,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10)))
| equivalence(X5,singleton(sK4(sK9,sK10))) )
| ~ spl12_24 ),
inference(resolution,[],[f983,f191]) ).
fof(f1370,plain,
( spl12_3
| spl12_4
| spl12_8
| spl12_6
| ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f685,f133,f128,f608,f618,f600,f138]) ).
fof(f685,plain,
( member(sK3(sK9,sK10),sK10)
| member(sK4(sK9,sK10),sK10)
| member(sK6(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(duplicate_literal_removal,[],[f674]) ).
fof(f674,plain,
( equivalence(sK9,sK10)
| member(sK6(sK9,sK10),sK10)
| member(sK4(sK9,sK10),sK10)
| member(sK3(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK6(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(resolution,[],[f511,f258]) ).
fof(f1369,plain,
( spl12_6
| spl12_4
| spl12_3
| ~ spl12_2
| spl12_30 ),
inference(avatar_split_clause,[],[f1212,f1194,f133,f138,f600,f608]) ).
fof(f1212,plain,
( equivalence(sK9,sK10)
| member(sK6(sK9,sK10),sK10)
| member(sK3(sK9,sK10),sK10)
| ~ spl12_2
| spl12_30 ),
inference(resolution,[],[f1196,f511]) ).
fof(f1368,plain,
( spl12_8
| spl12_46
| ~ spl12_24 ),
inference(avatar_split_clause,[],[f994,f981,f1366,f618]) ).
fof(f1366,plain,
( spl12_46
<=> ! [X2] :
( member(sK3(X2,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10)))
| equivalence(X2,singleton(sK4(sK9,sK10)))
| member(sK6(X2,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_46])]) ).
fof(f994,plain,
( ! [X2] :
( member(sK3(X2,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10)))
| member(sK4(sK9,sK10),sK10)
| member(sK6(X2,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10)))
| equivalence(X2,singleton(sK4(sK9,sK10))) )
| ~ spl12_24 ),
inference(forward_subsumption_demodulation,[],[f988,f166]) ).
fof(f166,plain,
! [X6,X7] :
( member(sK6(X6,singleton(X7)),singleton(X7))
| equivalence(X6,singleton(X7))
| sK8(X6,singleton(X7)) = X7
| member(sK3(X6,singleton(X7)),singleton(X7)) ),
inference(resolution,[],[f67,f117]) ).
fof(f988,plain,
( ! [X2] :
( member(sK6(X2,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10)))
| member(sK8(X2,singleton(sK4(sK9,sK10))),sK10)
| equivalence(X2,singleton(sK4(sK9,sK10)))
| member(sK3(X2,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10))) )
| ~ spl12_24 ),
inference(resolution,[],[f983,f163]) ).
fof(f1364,plain,
( spl12_8
| spl12_45
| ~ spl12_24 ),
inference(avatar_split_clause,[],[f999,f981,f1362,f618]) ).
fof(f1362,plain,
( spl12_45
<=> ! [X4] :
( equivalence(X4,singleton(sK4(sK9,sK10)))
| member(sK4(X4,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10)))
| member(sK6(X4,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_45])]) ).
fof(f999,plain,
( ! [X4] :
( equivalence(X4,singleton(sK4(sK9,sK10)))
| member(sK4(sK9,sK10),sK10)
| member(sK6(X4,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10)))
| member(sK4(X4,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10))) )
| ~ spl12_24 ),
inference(forward_subsumption_demodulation,[],[f990,f176]) ).
fof(f176,plain,
! [X6,X7] :
( member(sK6(X6,singleton(X7)),singleton(X7))
| sK8(X6,singleton(X7)) = X7
| equivalence(X6,singleton(X7))
| member(sK4(X6,singleton(X7)),singleton(X7)) ),
inference(resolution,[],[f75,f117]) ).
fof(f990,plain,
( ! [X4] :
( member(sK6(X4,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10)))
| member(sK4(X4,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10)))
| member(sK8(X4,singleton(sK4(sK9,sK10))),sK10)
| equivalence(X4,singleton(sK4(sK9,sK10))) )
| ~ spl12_24 ),
inference(resolution,[],[f983,f173]) ).
fof(f1360,plain,
( spl12_8
| spl12_44
| ~ spl12_24 ),
inference(avatar_split_clause,[],[f993,f981,f1358,f618]) ).
fof(f1358,plain,
( spl12_44
<=> ! [X0] : subset(singleton(sK4(sK9,sK10)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_44])]) ).
fof(f993,plain,
( ! [X0] :
( subset(singleton(sK4(sK9,sK10)),X0)
| member(sK4(sK9,sK10),sK10) )
| ~ spl12_24 ),
inference(forward_subsumption_demodulation,[],[f986,f160]) ).
fof(f986,plain,
( ! [X0] :
( member(sK2(singleton(sK4(sK9,sK10)),X0),sK10)
| subset(singleton(sK4(sK9,sK10)),X0) )
| ~ spl12_24 ),
inference(resolution,[],[f983,f149]) ).
fof(f1356,plain,
( spl12_4
| spl12_3
| spl12_6
| spl12_8
| ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f733,f133,f128,f618,f608,f138,f600]) ).
fof(f733,plain,
( member(sK4(sK9,sK10),sK10)
| member(sK3(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK6(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(duplicate_literal_removal,[],[f726]) ).
fof(f726,plain,
( member(sK6(sK9,sK10),sK10)
| member(sK3(sK9,sK10),sK10)
| member(sK4(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK6(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(resolution,[],[f535,f231]) ).
fof(f1355,plain,
( spl12_8
| spl12_6
| spl12_4
| spl12_5
| spl12_3
| ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f735,f133,f128,f138,f604,f600,f608,f618]) ).
fof(f735,plain,
( equivalence(sK9,sK10)
| member(sK7(sK9,sK10),sK10)
| member(sK6(sK9,sK10),sK10)
| member(sK3(sK9,sK10),sK10)
| member(sK4(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(duplicate_literal_removal,[],[f727]) ).
fof(f727,plain,
( member(sK3(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK4(sK9,sK10),sK10)
| member(sK6(sK9,sK10),sK10)
| member(sK7(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(resolution,[],[f535,f203]) ).
fof(f1354,plain,
( spl12_8
| ~ spl12_24 ),
inference(avatar_split_clause,[],[f985,f981,f618]) ).
fof(f985,plain,
( member(sK4(sK9,sK10),sK10)
| ~ spl12_24 ),
inference(resolution,[],[f983,f150]) ).
fof(f1353,plain,
( spl12_43
| spl12_8
| ~ spl12_24 ),
inference(avatar_split_clause,[],[f997,f981,f618,f1351]) ).
fof(f1351,plain,
( spl12_43
<=> ! [X1] :
( member(sK7(X1,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10)))
| member(sK3(X1,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10)))
| equivalence(X1,singleton(sK4(sK9,sK10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_43])]) ).
fof(f997,plain,
( ! [X1] :
( member(sK4(sK9,sK10),sK10)
| member(sK7(X1,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10)))
| equivalence(X1,singleton(sK4(sK9,sK10)))
| member(sK3(X1,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10))) )
| ~ spl12_24 ),
inference(forward_subsumption_demodulation,[],[f987,f161]) ).
fof(f161,plain,
! [X3,X4] :
( member(sK7(X3,singleton(X4)),singleton(X4))
| member(sK3(X3,singleton(X4)),singleton(X4))
| equivalence(X3,singleton(X4))
| sK8(X3,singleton(X4)) = X4 ),
inference(resolution,[],[f117,f63]) ).
fof(f63,plain,
! [X0,X1] :
( member(sK8(X0,X1),X1)
| equivalence(X0,X1)
| member(sK7(X0,X1),X1)
| member(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f987,plain,
( ! [X1] :
( equivalence(X1,singleton(sK4(sK9,sK10)))
| member(sK3(X1,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10)))
| member(sK8(X1,singleton(sK4(sK9,sK10))),sK10)
| member(sK7(X1,singleton(sK4(sK9,sK10))),singleton(sK4(sK9,sK10))) )
| ~ spl12_24 ),
inference(resolution,[],[f983,f154]) ).
fof(f154,plain,
! [X3,X4,X5] :
( ~ subset(X4,X5)
| member(sK7(X3,X4),X4)
| member(sK3(X3,X4),X4)
| equivalence(X3,X4)
| member(sK8(X3,X4),X5) ),
inference(resolution,[],[f63,f56]) ).
fof(f1349,plain,
( spl12_41
| spl12_42
| ~ spl12_31 ),
inference(avatar_split_clause,[],[f1327,f1201,f1347,f1343]) ).
fof(f1327,plain,
( ! [X0] :
( ~ equivalence(sK9,X0)
| ~ member(sK5(sK9,sK10),X0)
| apply(sK9,sK5(sK9,sK10),sK3(sK9,sK10))
| ~ member(sK3(sK9,sK10),X0) )
| ~ spl12_31 ),
inference(resolution,[],[f1202,f109]) ).
fof(f1202,plain,
( apply(sK9,sK3(sK9,sK10),sK5(sK9,sK10))
| ~ spl12_31 ),
inference(avatar_component_clause,[],[f1201]) ).
fof(f1341,plain,
( spl12_5
| spl12_3
| ~ spl12_40
| ~ spl12_31 ),
inference(avatar_split_clause,[],[f1324,f1201,f1335,f138,f604]) ).
fof(f1324,plain,
( ~ apply(sK9,sK8(sK9,sK10),sK8(sK9,sK10))
| equivalence(sK9,sK10)
| member(sK7(sK9,sK10),sK10)
| ~ spl12_31 ),
inference(resolution,[],[f1202,f96]) ).
fof(f96,plain,
! [X0,X1] :
( ~ apply(X0,sK3(X0,X1),sK5(X0,X1))
| member(sK7(X0,X1),X1)
| equivalence(X0,X1)
| ~ apply(X0,sK8(X0,X1),sK8(X0,X1)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f1340,plain,
( spl12_3
| spl12_39
| ~ spl12_40
| ~ spl12_31 ),
inference(avatar_split_clause,[],[f1321,f1201,f1335,f1330,f138]) ).
fof(f1321,plain,
( ~ apply(sK9,sK8(sK9,sK10),sK8(sK9,sK10))
| apply(sK9,sK6(sK9,sK10),sK7(sK9,sK10))
| equivalence(sK9,sK10)
| ~ spl12_31 ),
inference(resolution,[],[f1202,f98]) ).
fof(f98,plain,
! [X0,X1] :
( ~ apply(X0,sK3(X0,X1),sK5(X0,X1))
| ~ apply(X0,sK8(X0,X1),sK8(X0,X1))
| equivalence(X0,X1)
| apply(X0,sK6(X0,X1),sK7(X0,X1)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f1339,plain,
( spl12_17
| spl12_3
| spl12_5
| ~ spl12_31 ),
inference(avatar_split_clause,[],[f1326,f1201,f604,f138,f796]) ).
fof(f1326,plain,
( member(sK7(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK8(sK9,sK10),sK10)
| ~ spl12_31 ),
inference(resolution,[],[f1202,f95]) ).
fof(f95,plain,
! [X0,X1] :
( ~ apply(X0,sK3(X0,X1),sK5(X0,X1))
| equivalence(X0,X1)
| member(sK8(X0,X1),X1)
| member(sK7(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f1338,plain,
( spl12_4
| ~ spl12_40
| spl12_3
| ~ spl12_31 ),
inference(avatar_split_clause,[],[f1322,f1201,f138,f1335,f600]) ).
fof(f1322,plain,
( equivalence(sK9,sK10)
| ~ apply(sK9,sK8(sK9,sK10),sK8(sK9,sK10))
| member(sK6(sK9,sK10),sK10)
| ~ spl12_31 ),
inference(resolution,[],[f1202,f100]) ).
fof(f100,plain,
! [X0,X1] :
( ~ apply(X0,sK3(X0,X1),sK5(X0,X1))
| ~ apply(X0,sK8(X0,X1),sK8(X0,X1))
| member(sK6(X0,X1),X1)
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f1333,plain,
( spl12_17
| spl12_3
| spl12_39
| ~ spl12_31 ),
inference(avatar_split_clause,[],[f1323,f1201,f1330,f138,f796]) ).
fof(f1323,plain,
( apply(sK9,sK6(sK9,sK10),sK7(sK9,sK10))
| equivalence(sK9,sK10)
| member(sK8(sK9,sK10),sK10)
| ~ spl12_31 ),
inference(resolution,[],[f1202,f97]) ).
fof(f97,plain,
! [X0,X1] :
( ~ apply(X0,sK3(X0,X1),sK5(X0,X1))
| apply(X0,sK6(X0,X1),sK7(X0,X1))
| member(sK8(X0,X1),X1)
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f1328,plain,
( spl12_3
| spl12_17
| spl12_4
| ~ spl12_31 ),
inference(avatar_split_clause,[],[f1325,f1201,f600,f796,f138]) ).
fof(f1325,plain,
( member(sK6(sK9,sK10),sK10)
| member(sK8(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| ~ spl12_31 ),
inference(resolution,[],[f1202,f99]) ).
fof(f99,plain,
! [X0,X1] :
( ~ apply(X0,sK3(X0,X1),sK5(X0,X1))
| equivalence(X0,X1)
| member(sK8(X0,X1),X1)
| member(sK6(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f1310,plain,
( spl12_3
| spl12_17
| ~ spl12_23
| spl12_5
| ~ spl12_14
| ~ spl12_1
| spl12_37 ),
inference(avatar_split_clause,[],[f1303,f1297,f128,f697,f604,f899,f796,f138]) ).
fof(f1303,plain,
( ~ member(sK3(sK9,sK10),sK11)
| member(sK7(sK9,sK10),sK10)
| ~ member(sK4(sK9,sK10),sK11)
| member(sK8(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| ~ spl12_1
| spl12_37 ),
inference(resolution,[],[f1298,f635]) ).
fof(f635,plain,
( ! [X0] :
( apply(sK9,sK4(sK9,X0),sK3(sK9,X0))
| member(sK8(sK9,X0),X0)
| ~ member(sK4(sK9,X0),sK11)
| member(sK7(sK9,X0),X0)
| ~ member(sK3(sK9,X0),sK11)
| equivalence(sK9,X0) )
| ~ spl12_1 ),
inference(resolution,[],[f273,f130]) ).
fof(f273,plain,
! [X2,X0,X1] :
( ~ equivalence(X0,X2)
| apply(X0,sK4(X0,X1),sK3(X0,X1))
| member(sK8(X0,X1),X1)
| ~ member(sK4(X0,X1),X2)
| equivalence(X0,X1)
| ~ member(sK3(X0,X1),X2)
| member(sK7(X0,X1),X1) ),
inference(resolution,[],[f87,f109]) ).
fof(f87,plain,
! [X0,X1] :
( apply(X0,sK3(X0,X1),sK4(X0,X1))
| member(sK8(X0,X1),X1)
| member(sK7(X0,X1),X1)
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f1298,plain,
( ~ apply(sK9,sK4(sK9,sK10),sK3(sK9,sK10))
| spl12_37 ),
inference(avatar_component_clause,[],[f1297]) ).
fof(f1309,plain,
( spl12_17
| spl12_3
| ~ spl12_23
| spl12_4
| ~ spl12_14
| ~ spl12_1
| spl12_37 ),
inference(avatar_split_clause,[],[f1302,f1297,f128,f697,f600,f899,f138,f796]) ).
fof(f1302,plain,
( ~ member(sK3(sK9,sK10),sK11)
| member(sK6(sK9,sK10),sK10)
| ~ member(sK4(sK9,sK10),sK11)
| equivalence(sK9,sK10)
| member(sK8(sK9,sK10),sK10)
| ~ spl12_1
| spl12_37 ),
inference(resolution,[],[f1298,f642]) ).
fof(f642,plain,
( ! [X0] :
( apply(sK9,sK4(sK9,X0),sK3(sK9,X0))
| equivalence(sK9,X0)
| ~ member(sK4(sK9,X0),sK11)
| member(sK6(sK9,X0),X0)
| member(sK8(sK9,X0),X0)
| ~ member(sK3(sK9,X0),sK11) )
| ~ spl12_1 ),
inference(resolution,[],[f274,f130]) ).
fof(f274,plain,
! [X2,X0,X1] :
( ~ equivalence(X0,X2)
| equivalence(X0,X1)
| member(sK8(X0,X1),X1)
| member(sK6(X0,X1),X1)
| ~ member(sK3(X0,X1),X2)
| ~ member(sK4(X0,X1),X2)
| apply(X0,sK4(X0,X1),sK3(X0,X1)) ),
inference(resolution,[],[f91,f109]) ).
fof(f91,plain,
! [X0,X1] :
( apply(X0,sK3(X0,X1),sK4(X0,X1))
| member(sK6(X0,X1),X1)
| equivalence(X0,X1)
| member(sK8(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f1308,plain,
( ~ spl12_14
| ~ spl12_38
| ~ spl12_25
| spl12_37 ),
inference(avatar_split_clause,[],[f1301,f1297,f1115,f1305,f697]) ).
fof(f1115,plain,
( spl12_25
<=> ! [X1] :
( ~ member(X1,sK11)
| ~ apply(sK9,sK3(sK9,sK10),X1)
| apply(sK9,sK4(sK9,sK10),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_25])]) ).
fof(f1301,plain,
( ~ apply(sK9,sK3(sK9,sK10),sK3(sK9,sK10))
| ~ member(sK3(sK9,sK10),sK11)
| ~ spl12_25
| spl12_37 ),
inference(resolution,[],[f1298,f1116]) ).
fof(f1116,plain,
( ! [X1] :
( apply(sK9,sK4(sK9,sK10),X1)
| ~ member(X1,sK11)
| ~ apply(sK9,sK3(sK9,sK10),X1) )
| ~ spl12_25 ),
inference(avatar_component_clause,[],[f1115]) ).
fof(f1300,plain,
( spl12_36
| spl12_37
| ~ spl12_35 ),
inference(avatar_split_clause,[],[f1292,f1279,f1297,f1294]) ).
fof(f1292,plain,
( ! [X1] :
( apply(sK9,sK4(sK9,sK10),sK3(sK9,sK10))
| ~ equivalence(sK9,X1)
| ~ member(sK3(sK9,sK10),X1)
| ~ member(sK4(sK9,sK10),X1) )
| ~ spl12_35 ),
inference(resolution,[],[f1281,f109]) ).
fof(f1281,plain,
( apply(sK9,sK3(sK9,sK10),sK4(sK9,sK10))
| ~ spl12_35 ),
inference(avatar_component_clause,[],[f1279]) ).
fof(f1284,plain,
( ~ spl12_22
| spl12_31
| ~ spl12_28
| ~ spl12_33 ),
inference(avatar_split_clause,[],[f1264,f1250,f1180,f1201,f884]) ).
fof(f1250,plain,
( spl12_33
<=> ! [X8] :
( ~ member(X8,sK11)
| ~ apply(sK9,sK4(sK9,sK10),X8)
| apply(sK9,sK3(sK9,sK10),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_33])]) ).
fof(f1264,plain,
( apply(sK9,sK3(sK9,sK10),sK5(sK9,sK10))
| ~ member(sK5(sK9,sK10),sK11)
| ~ spl12_28
| ~ spl12_33 ),
inference(resolution,[],[f1251,f1182]) ).
fof(f1251,plain,
( ! [X8] :
( ~ apply(sK9,sK4(sK9,sK10),X8)
| ~ member(X8,sK11)
| apply(sK9,sK3(sK9,sK10),X8) )
| ~ spl12_33 ),
inference(avatar_component_clause,[],[f1250]) ).
fof(f1283,plain,
( spl12_31
| spl12_17
| spl12_3
| spl12_4
| ~ spl12_22
| ~ spl12_33 ),
inference(avatar_split_clause,[],[f1270,f1250,f884,f600,f138,f796,f1201]) ).
fof(f1270,plain,
( ~ member(sK5(sK9,sK10),sK11)
| member(sK6(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK8(sK9,sK10),sK10)
| apply(sK9,sK3(sK9,sK10),sK5(sK9,sK10))
| ~ spl12_33 ),
inference(resolution,[],[f1251,f83]) ).
fof(f83,plain,
! [X0,X1] :
( apply(X0,sK4(X0,X1),sK5(X0,X1))
| member(sK6(X0,X1),X1)
| member(sK8(X0,X1),X1)
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f1282,plain,
( spl12_35
| ~ spl12_23
| ~ spl12_1
| ~ spl12_33 ),
inference(avatar_split_clause,[],[f1273,f1250,f128,f899,f1279]) ).
fof(f1273,plain,
( ~ member(sK4(sK9,sK10),sK11)
| apply(sK9,sK3(sK9,sK10),sK4(sK9,sK10))
| ~ spl12_1
| ~ spl12_33 ),
inference(duplicate_literal_removal,[],[f1269]) ).
fof(f1269,plain,
( ~ member(sK4(sK9,sK10),sK11)
| apply(sK9,sK3(sK9,sK10),sK4(sK9,sK10))
| ~ member(sK4(sK9,sK10),sK11)
| ~ spl12_1
| ~ spl12_33 ),
inference(resolution,[],[f1251,f151]) ).
fof(f1277,plain,
( spl12_17
| spl12_3
| spl12_31
| spl12_5
| ~ spl12_22
| ~ spl12_33 ),
inference(avatar_split_clause,[],[f1271,f1250,f884,f604,f1201,f138,f796]) ).
fof(f1271,plain,
( ~ member(sK5(sK9,sK10),sK11)
| member(sK7(sK9,sK10),sK10)
| apply(sK9,sK3(sK9,sK10),sK5(sK9,sK10))
| equivalence(sK9,sK10)
| member(sK8(sK9,sK10),sK10)
| ~ spl12_33 ),
inference(resolution,[],[f1251,f79]) ).
fof(f79,plain,
! [X0,X1] :
( apply(X0,sK4(X0,X1),sK5(X0,X1))
| equivalence(X0,X1)
| member(sK8(X0,X1),X1)
| member(sK7(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f1259,plain,
( spl12_3
| spl12_4
| ~ spl12_22
| spl12_34
| spl12_17
| ~ spl12_23
| ~ spl12_1
| ~ spl12_23 ),
inference(avatar_split_clause,[],[f1245,f899,f128,f899,f796,f1255,f884,f600,f138]) ).
fof(f1245,plain,
( ! [X4] :
( ~ member(sK4(sK9,sK10),sK11)
| member(sK8(sK9,sK10),sK10)
| ~ member(X4,sK11)
| ~ member(sK5(sK9,sK10),sK11)
| member(sK6(sK9,sK10),sK10)
| apply(sK9,sK5(sK9,sK10),X4)
| equivalence(sK9,sK10)
| ~ apply(sK9,sK4(sK9,sK10),X4) )
| ~ spl12_1
| ~ spl12_23 ),
inference(duplicate_literal_removal,[],[f1240]) ).
fof(f1240,plain,
( ! [X4] :
( ~ member(sK5(sK9,sK10),sK11)
| ~ member(X4,sK11)
| member(sK8(sK9,sK10),sK10)
| ~ member(sK4(sK9,sK10),sK11)
| ~ apply(sK9,sK4(sK9,sK10),X4)
| ~ member(sK5(sK9,sK10),sK11)
| apply(sK9,sK5(sK9,sK10),X4)
| equivalence(sK9,sK10)
| member(sK6(sK9,sK10),sK10) )
| ~ spl12_1
| ~ spl12_23 ),
inference(resolution,[],[f912,f634]) ).
fof(f634,plain,
( ! [X0] :
( apply(sK9,sK5(sK9,X0),sK4(sK9,X0))
| ~ member(sK4(sK9,X0),sK11)
| member(sK8(sK9,X0),X0)
| equivalence(sK9,X0)
| ~ member(sK5(sK9,X0),sK11)
| member(sK6(sK9,X0),X0) )
| ~ spl12_1 ),
inference(resolution,[],[f272,f130]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ equivalence(X0,X2)
| ~ member(sK5(X0,X1),X2)
| member(sK6(X0,X1),X1)
| apply(X0,sK5(X0,X1),sK4(X0,X1))
| member(sK8(X0,X1),X1)
| equivalence(X0,X1)
| ~ member(sK4(X0,X1),X2) ),
inference(resolution,[],[f83,f109]) ).
fof(f912,plain,
( ! [X0,X1] :
( ~ apply(sK9,X0,sK4(sK9,sK10))
| ~ apply(sK9,sK4(sK9,sK10),X1)
| ~ member(X1,sK11)
| apply(sK9,X0,X1)
| ~ member(X0,sK11) )
| ~ spl12_1
| ~ spl12_23 ),
inference(resolution,[],[f901,f422]) ).
fof(f901,plain,
( member(sK4(sK9,sK10),sK11)
| ~ spl12_23 ),
inference(avatar_component_clause,[],[f899]) ).
fof(f1258,plain,
( spl12_17
| ~ spl12_23
| ~ spl12_22
| spl12_3
| spl12_5
| spl12_34
| ~ spl12_1
| ~ spl12_23 ),
inference(avatar_split_clause,[],[f1246,f899,f128,f1255,f604,f138,f884,f899,f796]) ).
fof(f1246,plain,
( ! [X5] :
( ~ apply(sK9,sK4(sK9,sK10),X5)
| member(sK7(sK9,sK10),sK10)
| ~ member(X5,sK11)
| equivalence(sK9,sK10)
| ~ member(sK5(sK9,sK10),sK11)
| apply(sK9,sK5(sK9,sK10),X5)
| ~ member(sK4(sK9,sK10),sK11)
| member(sK8(sK9,sK10),sK10) )
| ~ spl12_1
| ~ spl12_23 ),
inference(duplicate_literal_removal,[],[f1241]) ).
fof(f1241,plain,
( ! [X5] :
( ~ member(sK5(sK9,sK10),sK11)
| ~ apply(sK9,sK4(sK9,sK10),X5)
| member(sK7(sK9,sK10),sK10)
| ~ member(sK4(sK9,sK10),sK11)
| member(sK8(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| ~ member(sK5(sK9,sK10),sK11)
| ~ member(X5,sK11)
| apply(sK9,sK5(sK9,sK10),X5) )
| ~ spl12_1
| ~ spl12_23 ),
inference(resolution,[],[f912,f626]) ).
fof(f626,plain,
( ! [X0] :
( apply(sK9,sK5(sK9,X0),sK4(sK9,X0))
| member(sK7(sK9,X0),X0)
| member(sK8(sK9,X0),X0)
| ~ member(sK5(sK9,X0),sK11)
| ~ member(sK4(sK9,X0),sK11)
| equivalence(sK9,X0) )
| ~ spl12_1 ),
inference(resolution,[],[f271,f130]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ equivalence(X0,X2)
| ~ member(sK5(X0,X1),X2)
| member(sK7(X0,X1),X1)
| apply(X0,sK5(X0,X1),sK4(X0,X1))
| equivalence(X0,X1)
| ~ member(sK4(X0,X1),X2)
| member(sK8(X0,X1),X1) ),
inference(resolution,[],[f79,f109]) ).
fof(f1257,plain,
( ~ spl12_22
| spl12_34
| ~ spl12_1
| ~ spl12_23
| ~ spl12_27 ),
inference(avatar_split_clause,[],[f1242,f1156,f899,f128,f1255,f884]) ).
fof(f1242,plain,
( ! [X6] :
( ~ member(X6,sK11)
| ~ apply(sK9,sK4(sK9,sK10),X6)
| apply(sK9,sK5(sK9,sK10),X6)
| ~ member(sK5(sK9,sK10),sK11) )
| ~ spl12_1
| ~ spl12_23
| ~ spl12_27 ),
inference(resolution,[],[f912,f1158]) ).
fof(f1253,plain,
( ~ spl12_14
| spl12_4
| spl12_33
| spl12_3
| spl12_17
| ~ spl12_1
| ~ spl12_23 ),
inference(avatar_split_clause,[],[f1243,f899,f128,f796,f138,f1250,f600,f697]) ).
fof(f1243,plain,
( ! [X7] :
( member(sK8(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| ~ apply(sK9,sK4(sK9,sK10),X7)
| ~ member(X7,sK11)
| apply(sK9,sK3(sK9,sK10),X7)
| member(sK6(sK9,sK10),sK10)
| ~ member(sK3(sK9,sK10),sK11) )
| ~ spl12_1
| ~ spl12_23 ),
inference(resolution,[],[f912,f91]) ).
fof(f1252,plain,
( spl12_5
| ~ spl12_14
| spl12_3
| spl12_33
| spl12_17
| ~ spl12_1
| ~ spl12_23 ),
inference(avatar_split_clause,[],[f1244,f899,f128,f796,f1250,f138,f697,f604]) ).
fof(f1244,plain,
( ! [X8] :
( member(sK8(sK9,sK10),sK10)
| ~ member(X8,sK11)
| apply(sK9,sK3(sK9,sK10),X8)
| equivalence(sK9,sK10)
| ~ apply(sK9,sK4(sK9,sK10),X8)
| ~ member(sK3(sK9,sK10),sK11)
| member(sK7(sK9,sK10),sK10) )
| ~ spl12_1
| ~ spl12_23 ),
inference(resolution,[],[f912,f87]) ).
fof(f1219,plain,
( spl12_32
| spl12_30 ),
inference(avatar_split_clause,[],[f1214,f1194,f1216]) ).
fof(f1214,plain,
( sK8(sK9,sK10) = sK2(singleton(sK8(sK9,sK10)),sK11)
| spl12_30 ),
inference(resolution,[],[f1196,f439]) ).
fof(f1204,plain,
( ~ spl12_22
| ~ spl12_31
| ~ spl12_25
| spl12_28 ),
inference(avatar_split_clause,[],[f1187,f1180,f1115,f1201,f884]) ).
fof(f1187,plain,
( ~ apply(sK9,sK3(sK9,sK10),sK5(sK9,sK10))
| ~ member(sK5(sK9,sK10),sK11)
| ~ spl12_25
| spl12_28 ),
inference(resolution,[],[f1181,f1116]) ).
fof(f1181,plain,
( ~ apply(sK9,sK4(sK9,sK10),sK5(sK9,sK10))
| spl12_28 ),
inference(avatar_component_clause,[],[f1180]) ).
fof(f1199,plain,
( spl12_3
| spl12_17
| spl12_4
| spl12_28 ),
inference(avatar_split_clause,[],[f1190,f1180,f600,f796,f138]) ).
fof(f1190,plain,
( member(sK6(sK9,sK10),sK10)
| member(sK8(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| spl12_28 ),
inference(resolution,[],[f1181,f83]) ).
fof(f1198,plain,
( ~ spl12_30
| spl12_3
| spl12_5
| ~ spl12_1
| spl12_28 ),
inference(avatar_split_clause,[],[f1189,f1180,f128,f604,f138,f1194]) ).
fof(f1189,plain,
( member(sK7(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| ~ member(sK8(sK9,sK10),sK11)
| ~ spl12_1
| spl12_28 ),
inference(resolution,[],[f1181,f349]) ).
fof(f349,plain,
( ! [X0] :
( apply(sK9,sK4(sK9,X0),sK5(sK9,X0))
| equivalence(sK9,X0)
| member(sK7(sK9,X0),X0)
| ~ member(sK8(sK9,X0),sK11) )
| ~ spl12_1 ),
inference(resolution,[],[f80,f151]) ).
fof(f80,plain,
! [X0,X1] :
( ~ apply(X0,sK8(X0,X1),sK8(X0,X1))
| equivalence(X0,X1)
| member(sK7(X0,X1),X1)
| apply(X0,sK4(X0,X1),sK5(X0,X1)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f1197,plain,
( ~ spl12_30
| spl12_4
| spl12_3
| ~ spl12_1
| spl12_28 ),
inference(avatar_split_clause,[],[f1188,f1180,f128,f138,f600,f1194]) ).
fof(f1188,plain,
( equivalence(sK9,sK10)
| member(sK6(sK9,sK10),sK10)
| ~ member(sK8(sK9,sK10),sK11)
| ~ spl12_1
| spl12_28 ),
inference(resolution,[],[f1181,f356]) ).
fof(f356,plain,
( ! [X0] :
( apply(sK9,sK4(sK9,X0),sK5(sK9,X0))
| member(sK6(sK9,X0),X0)
| equivalence(sK9,X0)
| ~ member(sK8(sK9,X0),sK11) )
| ~ spl12_1 ),
inference(resolution,[],[f84,f151]) ).
fof(f84,plain,
! [X0,X1] :
( ~ apply(X0,sK8(X0,X1),sK8(X0,X1))
| equivalence(X0,X1)
| member(sK6(X0,X1),X1)
| apply(X0,sK4(X0,X1),sK5(X0,X1)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f1192,plain,
( spl12_3
| spl12_17
| spl12_5
| spl12_28 ),
inference(avatar_split_clause,[],[f1191,f1180,f604,f796,f138]) ).
fof(f1191,plain,
( member(sK7(sK9,sK10),sK10)
| member(sK8(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| spl12_28 ),
inference(resolution,[],[f1181,f79]) ).
fof(f1186,plain,
( spl12_28
| spl12_29
| ~ spl12_27 ),
inference(avatar_split_clause,[],[f1178,f1156,f1184,f1180]) ).
fof(f1178,plain,
( ! [X1] :
( ~ member(sK4(sK9,sK10),X1)
| ~ member(sK5(sK9,sK10),X1)
| ~ equivalence(sK9,X1)
| apply(sK9,sK4(sK9,sK10),sK5(sK9,sK10)) )
| ~ spl12_27 ),
inference(resolution,[],[f1158,f109]) ).
fof(f1159,plain,
( spl12_27
| ~ spl12_22
| ~ spl12_1
| ~ spl12_26 ),
inference(avatar_split_clause,[],[f1154,f1144,f128,f884,f1156]) ).
fof(f1154,plain,
( ~ member(sK5(sK9,sK10),sK11)
| apply(sK9,sK5(sK9,sK10),sK4(sK9,sK10))
| ~ spl12_1
| ~ spl12_26 ),
inference(duplicate_literal_removal,[],[f1148]) ).
fof(f1148,plain,
( ~ member(sK5(sK9,sK10),sK11)
| apply(sK9,sK5(sK9,sK10),sK4(sK9,sK10))
| ~ member(sK5(sK9,sK10),sK11)
| ~ spl12_1
| ~ spl12_26 ),
inference(resolution,[],[f1145,f151]) ).
fof(f1145,plain,
( ! [X1] :
( ~ apply(sK9,X1,sK5(sK9,sK10))
| ~ member(X1,sK11)
| apply(sK9,X1,sK4(sK9,sK10)) )
| ~ spl12_26 ),
inference(avatar_component_clause,[],[f1144]) ).
fof(f1147,plain,
( spl12_17
| spl12_4
| ~ spl12_22
| spl12_26
| ~ spl12_23
| spl12_3
| ~ spl12_1
| ~ spl12_22 ),
inference(avatar_split_clause,[],[f1140,f884,f128,f138,f899,f1144,f884,f600,f796]) ).
fof(f1140,plain,
( ! [X0] :
( equivalence(sK9,sK10)
| ~ member(sK4(sK9,sK10),sK11)
| ~ member(X0,sK11)
| ~ member(sK5(sK9,sK10),sK11)
| apply(sK9,X0,sK4(sK9,sK10))
| member(sK6(sK9,sK10),sK10)
| ~ apply(sK9,X0,sK5(sK9,sK10))
| member(sK8(sK9,sK10),sK10) )
| ~ spl12_1
| ~ spl12_22 ),
inference(duplicate_literal_removal,[],[f1136]) ).
fof(f1136,plain,
( ! [X0] :
( equivalence(sK9,sK10)
| ~ member(sK4(sK9,sK10),sK11)
| apply(sK9,X0,sK4(sK9,sK10))
| ~ member(sK5(sK9,sK10),sK11)
| member(sK6(sK9,sK10),sK10)
| member(sK8(sK9,sK10),sK10)
| ~ member(sK4(sK9,sK10),sK11)
| ~ member(X0,sK11)
| ~ apply(sK9,X0,sK5(sK9,sK10)) )
| ~ spl12_1
| ~ spl12_22 ),
inference(resolution,[],[f888,f634]) ).
fof(f1146,plain,
( spl12_17
| spl12_5
| ~ spl12_22
| ~ spl12_23
| spl12_26
| spl12_3
| ~ spl12_1
| ~ spl12_22 ),
inference(avatar_split_clause,[],[f1142,f884,f128,f138,f1144,f899,f884,f604,f796]) ).
fof(f1142,plain,
( ! [X1] :
( equivalence(sK9,sK10)
| ~ member(X1,sK11)
| ~ member(sK4(sK9,sK10),sK11)
| ~ member(sK5(sK9,sK10),sK11)
| apply(sK9,X1,sK4(sK9,sK10))
| member(sK7(sK9,sK10),sK10)
| ~ apply(sK9,X1,sK5(sK9,sK10))
| member(sK8(sK9,sK10),sK10) )
| ~ spl12_1
| ~ spl12_22 ),
inference(duplicate_literal_removal,[],[f1137]) ).
fof(f1137,plain,
( ! [X1] :
( member(sK7(sK9,sK10),sK10)
| apply(sK9,X1,sK4(sK9,sK10))
| ~ member(sK4(sK9,sK10),sK11)
| ~ member(X1,sK11)
| ~ member(sK4(sK9,sK10),sK11)
| equivalence(sK9,sK10)
| member(sK8(sK9,sK10),sK10)
| ~ apply(sK9,X1,sK5(sK9,sK10))
| ~ member(sK5(sK9,sK10),sK11) )
| ~ spl12_1
| ~ spl12_22 ),
inference(resolution,[],[f888,f626]) ).
fof(f1118,plain,
( spl12_17
| spl12_5
| ~ spl12_14
| spl12_25
| ~ spl12_23
| spl12_3
| ~ spl12_1
| ~ spl12_14 ),
inference(avatar_split_clause,[],[f1111,f697,f128,f138,f899,f1115,f697,f604,f796]) ).
fof(f1111,plain,
( ! [X2] :
( equivalence(sK9,sK10)
| ~ member(sK4(sK9,sK10),sK11)
| ~ apply(sK9,sK3(sK9,sK10),X2)
| ~ member(sK3(sK9,sK10),sK11)
| apply(sK9,sK4(sK9,sK10),X2)
| member(sK7(sK9,sK10),sK10)
| ~ member(X2,sK11)
| member(sK8(sK9,sK10),sK10) )
| ~ spl12_1
| ~ spl12_14 ),
inference(duplicate_literal_removal,[],[f1110]) ).
fof(f1110,plain,
( ! [X2] :
( member(sK8(sK9,sK10),sK10)
| ~ member(sK4(sK9,sK10),sK11)
| ~ member(sK3(sK9,sK10),sK11)
| equivalence(sK9,sK10)
| ~ member(X2,sK11)
| member(sK7(sK9,sK10),sK10)
| ~ apply(sK9,sK3(sK9,sK10),X2)
| apply(sK9,sK4(sK9,sK10),X2)
| ~ member(sK4(sK9,sK10),sK11) )
| ~ spl12_1
| ~ spl12_14 ),
inference(resolution,[],[f768,f635]) ).
fof(f768,plain,
( ! [X0,X1] :
( ~ apply(sK9,X0,sK3(sK9,sK10))
| ~ apply(sK9,sK3(sK9,sK10),X1)
| apply(sK9,X0,X1)
| ~ member(X0,sK11)
| ~ member(X1,sK11) )
| ~ spl12_1
| ~ spl12_14 ),
inference(resolution,[],[f699,f422]) ).
fof(f699,plain,
( member(sK3(sK9,sK10),sK11)
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f1117,plain,
( ~ spl12_23
| spl12_3
| ~ spl12_14
| spl12_17
| spl12_4
| spl12_25
| ~ spl12_1
| ~ spl12_14 ),
inference(avatar_split_clause,[],[f1112,f697,f128,f1115,f600,f796,f697,f138,f899]) ).
fof(f1112,plain,
( ! [X1] :
( ~ member(X1,sK11)
| member(sK6(sK9,sK10),sK10)
| member(sK8(sK9,sK10),sK10)
| apply(sK9,sK4(sK9,sK10),X1)
| ~ member(sK3(sK9,sK10),sK11)
| equivalence(sK9,sK10)
| ~ apply(sK9,sK3(sK9,sK10),X1)
| ~ member(sK4(sK9,sK10),sK11) )
| ~ spl12_1
| ~ spl12_14 ),
inference(duplicate_literal_removal,[],[f1109]) ).
fof(f1109,plain,
( ! [X1] :
( equivalence(sK9,sK10)
| apply(sK9,sK4(sK9,sK10),X1)
| ~ apply(sK9,sK3(sK9,sK10),X1)
| ~ member(X1,sK11)
| member(sK8(sK9,sK10),sK10)
| ~ member(sK3(sK9,sK10),sK11)
| ~ member(sK4(sK9,sK10),sK11)
| ~ member(sK4(sK9,sK10),sK11)
| member(sK6(sK9,sK10),sK10) )
| ~ spl12_1
| ~ spl12_14 ),
inference(resolution,[],[f768,f642]) ).
fof(f984,plain,
( ~ spl12_8
| spl12_24
| ~ spl12_12 ),
inference(avatar_split_clause,[],[f978,f652,f981,f618]) ).
fof(f978,plain,
( subset(singleton(sK4(sK9,sK10)),sK10)
| ~ member(sK4(sK9,sK10),sK10)
| ~ spl12_12 ),
inference(superposition,[],[f55,f654]) ).
fof(f654,plain,
( sK4(sK9,sK10) = sK2(singleton(sK4(sK9,sK10)),sK10)
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f902,plain,
( spl12_23
| ~ spl12_2
| ~ spl12_8 ),
inference(avatar_split_clause,[],[f890,f618,f133,f899]) ).
fof(f890,plain,
( member(sK4(sK9,sK10),sK11)
| ~ spl12_2
| ~ spl12_8 ),
inference(resolution,[],[f821,f135]) ).
fof(f821,plain,
( ! [X0] :
( ~ subset(sK10,X0)
| member(sK4(sK9,sK10),X0) )
| ~ spl12_8 ),
inference(resolution,[],[f620,f56]) ).
fof(f620,plain,
( member(sK4(sK9,sK10),sK10)
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f887,plain,
( spl12_22
| ~ spl12_2
| ~ spl12_7 ),
inference(avatar_split_clause,[],[f875,f613,f133,f884]) ).
fof(f875,plain,
( member(sK5(sK9,sK10),sK11)
| ~ spl12_2
| ~ spl12_7 ),
inference(resolution,[],[f818,f135]) ).
fof(f818,plain,
( ! [X0] :
( ~ subset(sK10,X0)
| member(sK5(sK9,sK10),X0) )
| ~ spl12_7 ),
inference(resolution,[],[f615,f56]) ).
fof(f615,plain,
( member(sK5(sK9,sK10),sK10)
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f851,plain,
( spl12_21
| spl12_17 ),
inference(avatar_split_clause,[],[f846,f796,f848]) ).
fof(f848,plain,
( spl12_21
<=> sK2(singleton(sK8(sK9,sK10)),sK10) = sK8(sK9,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_21])]) ).
fof(f846,plain,
( sK2(singleton(sK8(sK9,sK10)),sK10) = sK8(sK9,sK10)
| spl12_17 ),
inference(resolution,[],[f797,f439]) ).
fof(f839,plain,
( spl12_20
| spl12_16 ),
inference(avatar_split_clause,[],[f834,f779,f836]) ).
fof(f836,plain,
( spl12_20
<=> sK2(singleton(sK7(sK9,sK10)),sK11) = sK7(sK9,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_20])]) ).
fof(f834,plain,
( sK2(singleton(sK7(sK9,sK10)),sK11) = sK7(sK9,sK10)
| spl12_16 ),
inference(resolution,[],[f780,f439]) ).
fof(f780,plain,
( ~ member(sK7(sK9,sK10),sK11)
| spl12_16 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f827,plain,
( spl12_19
| spl12_13 ),
inference(avatar_split_clause,[],[f822,f667,f824]) ).
fof(f822,plain,
( sK6(sK9,sK10) = sK2(singleton(sK6(sK9,sK10)),sK11)
| spl12_13 ),
inference(resolution,[],[f668,f439]) ).
fof(f668,plain,
( ~ member(sK6(sK9,sK10),sK11)
| spl12_13 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f809,plain,
( spl12_3
| spl12_5
| spl12_4
| spl12_7
| ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f763,f133,f128,f613,f600,f604,f138]) ).
fof(f763,plain,
( member(sK5(sK9,sK10),sK10)
| member(sK6(sK9,sK10),sK10)
| member(sK7(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(duplicate_literal_removal,[],[f751]) ).
fof(f751,plain,
( equivalence(sK9,sK10)
| member(sK6(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK7(sK9,sK10),sK10)
| member(sK5(sK9,sK10),sK10)
| member(sK5(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(resolution,[],[f563,f293]) ).
fof(f293,plain,
( ! [X0] :
( ~ member(sK8(sK9,X0),sK11)
| equivalence(sK9,X0)
| member(sK5(sK9,X0),X0)
| member(sK7(sK9,X0),X0) )
| ~ spl12_1 ),
inference(resolution,[],[f104,f151]) ).
fof(f104,plain,
! [X0,X1] :
( ~ apply(X0,sK8(X0,X1),sK8(X0,X1))
| member(sK5(X0,X1),X1)
| member(sK7(X0,X1),X1)
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f808,plain,
( spl12_7
| spl12_4
| spl12_3
| spl12_5
| ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f744,f133,f128,f604,f138,f600,f613]) ).
fof(f744,plain,
( member(sK7(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK6(sK9,sK10),sK10)
| member(sK5(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(duplicate_literal_removal,[],[f736]) ).
fof(f736,plain,
( member(sK5(sK9,sK10),sK10)
| member(sK7(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| equivalence(sK9,sK10)
| member(sK5(sK9,sK10),sK10)
| member(sK6(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(resolution,[],[f547,f312]) ).
fof(f807,plain,
( spl12_7
| spl12_4
| spl12_3
| ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f760,f133,f128,f138,f600,f613]) ).
fof(f760,plain,
( equivalence(sK9,sK10)
| member(sK6(sK9,sK10),sK10)
| member(sK5(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(duplicate_literal_removal,[],[f750]) ).
fof(f750,plain,
( equivalence(sK9,sK10)
| equivalence(sK9,sK10)
| member(sK5(sK9,sK10),sK10)
| member(sK5(sK9,sK10),sK10)
| member(sK6(sK9,sK10),sK10)
| member(sK6(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(resolution,[],[f563,f312]) ).
fof(f806,plain,
( ~ spl12_13
| spl12_3
| spl12_7
| spl12_17
| spl12_18
| ~ spl12_1
| ~ spl12_16 ),
inference(avatar_split_clause,[],[f804,f779,f128,f800,f796,f613,f138,f667]) ).
fof(f804,plain,
( apply(sK9,sK7(sK9,sK10),sK6(sK9,sK10))
| member(sK8(sK9,sK10),sK10)
| member(sK5(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| ~ member(sK6(sK9,sK10),sK11)
| ~ spl12_1
| ~ spl12_16 ),
inference(resolution,[],[f656,f781]) ).
fof(f656,plain,
( ! [X0] :
( ~ member(sK7(sK9,X0),sK11)
| member(sK5(sK9,X0),X0)
| equivalence(sK9,X0)
| apply(sK9,sK7(sK9,X0),sK6(sK9,X0))
| ~ member(sK6(sK9,X0),sK11)
| member(sK8(sK9,X0),X0) )
| ~ spl12_1 ),
inference(resolution,[],[f297,f130]) ).
fof(f297,plain,
! [X2,X0,X1] :
( ~ equivalence(X0,X2)
| member(sK5(X0,X1),X1)
| member(sK8(X0,X1),X1)
| ~ member(sK7(X0,X1),X2)
| apply(X0,sK7(X0,X1),sK6(X0,X1))
| ~ member(sK6(X0,X1),X2)
| equivalence(X0,X1) ),
inference(resolution,[],[f105,f109]) ).
fof(f803,plain,
( spl12_17
| ~ spl12_13
| spl12_18
| spl12_3
| spl12_8
| ~ spl12_1
| ~ spl12_16 ),
inference(avatar_split_clause,[],[f791,f779,f128,f618,f138,f800,f667,f796]) ).
fof(f791,plain,
( member(sK4(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| apply(sK9,sK7(sK9,sK10),sK6(sK9,sK10))
| ~ member(sK6(sK9,sK10),sK11)
| member(sK8(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_16 ),
inference(resolution,[],[f781,f625]) ).
fof(f786,plain,
( spl12_3
| spl12_8
| spl12_7
| spl12_5
| ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f748,f133,f128,f604,f613,f618,f138]) ).
fof(f748,plain,
( member(sK7(sK9,sK10),sK10)
| member(sK5(sK9,sK10),sK10)
| member(sK4(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(duplicate_literal_removal,[],[f739]) ).
fof(f739,plain,
( member(sK4(sK9,sK10),sK10)
| member(sK5(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK7(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK7(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(resolution,[],[f547,f244]) ).
fof(f785,plain,
( spl12_3
| spl12_5
| spl12_8
| spl12_7
| ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f715,f133,f128,f613,f618,f604,f138]) ).
fof(f715,plain,
( member(sK5(sK9,sK10),sK10)
| member(sK4(sK9,sK10),sK10)
| member(sK7(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(duplicate_literal_removal,[],[f703]) ).
fof(f703,plain,
( equivalence(sK9,sK10)
| member(sK5(sK9,sK10),sK10)
| member(sK7(sK9,sK10),sK10)
| member(sK4(sK9,sK10),sK10)
| member(sK7(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(resolution,[],[f523,f293]) ).
fof(f784,plain,
( spl12_5
| spl12_8
| spl12_3
| ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f712,f133,f128,f138,f618,f604]) ).
fof(f712,plain,
( equivalence(sK9,sK10)
| member(sK4(sK9,sK10),sK10)
| member(sK7(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(duplicate_literal_removal,[],[f705]) ).
fof(f705,plain,
( member(sK4(sK9,sK10),sK10)
| member(sK7(sK9,sK10),sK10)
| member(sK7(sK9,sK10),sK10)
| member(sK4(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| equivalence(sK9,sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(resolution,[],[f523,f244]) ).
fof(f783,plain,
( spl12_5
| spl12_7
| spl12_3
| ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f749,f133,f128,f138,f613,f604]) ).
fof(f749,plain,
( equivalence(sK9,sK10)
| member(sK5(sK9,sK10),sK10)
| member(sK7(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(duplicate_literal_removal,[],[f737]) ).
fof(f737,plain,
( equivalence(sK9,sK10)
| member(sK5(sK9,sK10),sK10)
| member(sK7(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK5(sK9,sK10),sK10)
| member(sK7(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(resolution,[],[f547,f293]) ).
fof(f782,plain,
( spl12_16
| ~ spl12_2
| ~ spl12_5 ),
inference(avatar_split_clause,[],[f770,f604,f133,f779]) ).
fof(f770,plain,
( member(sK7(sK9,sK10),sK11)
| ~ spl12_2
| ~ spl12_5 ),
inference(resolution,[],[f701,f135]) ).
fof(f701,plain,
( ! [X0] :
( ~ subset(sK10,X0)
| member(sK7(sK9,sK10),X0) )
| ~ spl12_5 ),
inference(resolution,[],[f606,f56]) ).
fof(f606,plain,
( member(sK7(sK9,sK10),sK10)
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f721,plain,
( spl12_15
| spl12_6 ),
inference(avatar_split_clause,[],[f716,f608,f718]) ).
fof(f716,plain,
( sK2(singleton(sK3(sK9,sK10)),sK10) = sK3(sK9,sK10)
| spl12_6 ),
inference(resolution,[],[f609,f439]) ).
fof(f609,plain,
( ~ member(sK3(sK9,sK10),sK10)
| spl12_6 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f700,plain,
( spl12_14
| ~ spl12_2
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f688,f608,f133,f697]) ).
fof(f688,plain,
( member(sK3(sK9,sK10),sK11)
| ~ spl12_2
| ~ spl12_6 ),
inference(resolution,[],[f643,f135]) ).
fof(f643,plain,
( ! [X0] :
( ~ subset(sK10,X0)
| member(sK3(sK9,sK10),X0) )
| ~ spl12_6 ),
inference(resolution,[],[f610,f56]) ).
fof(f610,plain,
( member(sK3(sK9,sK10),sK10)
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f670,plain,
( spl12_13
| ~ spl12_2
| ~ spl12_4 ),
inference(avatar_split_clause,[],[f658,f600,f133,f667]) ).
fof(f658,plain,
( member(sK6(sK9,sK10),sK11)
| ~ spl12_2
| ~ spl12_4 ),
inference(resolution,[],[f633,f135]) ).
fof(f633,plain,
( ! [X0] :
( ~ subset(sK10,X0)
| member(sK6(sK9,sK10),X0) )
| ~ spl12_4 ),
inference(resolution,[],[f602,f56]) ).
fof(f602,plain,
( member(sK6(sK9,sK10),sK10)
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f655,plain,
( spl12_12
| spl12_8 ),
inference(avatar_split_clause,[],[f650,f618,f652]) ).
fof(f650,plain,
( sK4(sK9,sK10) = sK2(singleton(sK4(sK9,sK10)),sK10)
| spl12_8 ),
inference(resolution,[],[f619,f439]) ).
fof(f619,plain,
( ~ member(sK4(sK9,sK10),sK10)
| spl12_8 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f649,plain,
( spl12_11
| spl12_7 ),
inference(avatar_split_clause,[],[f644,f613,f646]) ).
fof(f644,plain,
( sK2(singleton(sK5(sK9,sK10)),sK10) = sK5(sK9,sK10)
| spl12_7 ),
inference(resolution,[],[f614,f439]) ).
fof(f614,plain,
( ~ member(sK5(sK9,sK10),sK10)
| spl12_7 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f641,plain,
( spl12_10
| spl12_5 ),
inference(avatar_split_clause,[],[f636,f604,f638]) ).
fof(f638,plain,
( spl12_10
<=> sK7(sK9,sK10) = sK2(singleton(sK7(sK9,sK10)),sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f636,plain,
( sK7(sK9,sK10) = sK2(singleton(sK7(sK9,sK10)),sK10)
| spl12_5 ),
inference(resolution,[],[f605,f439]) ).
fof(f605,plain,
( ~ member(sK7(sK9,sK10),sK10)
| spl12_5 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f632,plain,
( spl12_9
| spl12_4 ),
inference(avatar_split_clause,[],[f627,f600,f629]) ).
fof(f629,plain,
( spl12_9
<=> sK6(sK9,sK10) = sK2(singleton(sK6(sK9,sK10)),sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f627,plain,
( sK6(sK9,sK10) = sK2(singleton(sK6(sK9,sK10)),sK10)
| spl12_4 ),
inference(resolution,[],[f601,f439]) ).
fof(f601,plain,
( ~ member(sK6(sK9,sK10),sK10)
| spl12_4 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f624,plain,
( spl12_6
| spl12_3
| spl12_5
| ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f593,f133,f128,f604,f138,f608]) ).
fof(f593,plain,
( member(sK7(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK3(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(duplicate_literal_removal,[],[f590]) ).
fof(f590,plain,
( member(sK3(sK9,sK10),sK10)
| member(sK3(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK7(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK7(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(resolution,[],[f499,f203]) ).
fof(f499,plain,
( ! [X22] :
( member(sK8(X22,sK10),sK11)
| equivalence(X22,sK10)
| member(sK7(X22,sK10),sK10)
| member(sK3(X22,sK10),sK10) )
| ~ spl12_2 ),
inference(resolution,[],[f154,f135]) ).
fof(f623,plain,
( spl12_5
| spl12_6
| spl12_4
| spl12_3
| spl12_7
| ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f594,f133,f128,f613,f138,f600,f608,f604]) ).
fof(f594,plain,
( member(sK5(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK6(sK9,sK10),sK10)
| member(sK3(sK9,sK10),sK10)
| member(sK7(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(duplicate_literal_removal,[],[f585]) ).
fof(f585,plain,
( member(sK3(sK9,sK10),sK10)
| member(sK5(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK6(sK9,sK10),sK10)
| member(sK7(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(resolution,[],[f499,f312]) ).
fof(f622,plain,
( spl12_6
| spl12_5
| spl12_3
| spl12_8
| ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f595,f133,f128,f618,f138,f604,f608]) ).
fof(f595,plain,
( member(sK4(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK7(sK9,sK10),sK10)
| member(sK3(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(duplicate_literal_removal,[],[f588]) ).
fof(f588,plain,
( member(sK4(sK9,sK10),sK10)
| member(sK7(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK7(sK9,sK10),sK10)
| member(sK3(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(resolution,[],[f499,f244]) ).
fof(f621,plain,
( spl12_8
| spl12_6
| spl12_4
| spl12_5
| spl12_3
| ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f596,f133,f128,f138,f604,f600,f608,f618]) ).
fof(f596,plain,
( equivalence(sK9,sK10)
| member(sK7(sK9,sK10),sK10)
| member(sK6(sK9,sK10),sK10)
| member(sK3(sK9,sK10),sK10)
| member(sK4(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(duplicate_literal_removal,[],[f587]) ).
fof(f587,plain,
( equivalence(sK9,sK10)
| member(sK4(sK9,sK10),sK10)
| member(sK6(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK3(sK9,sK10),sK10)
| member(sK7(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(resolution,[],[f499,f258]) ).
fof(f616,plain,
( spl12_5
| spl12_3
| spl12_6
| spl12_7
| ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f597,f133,f128,f613,f608,f138,f604]) ).
fof(f597,plain,
( member(sK5(sK9,sK10),sK10)
| member(sK3(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK7(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(duplicate_literal_removal,[],[f586]) ).
fof(f586,plain,
( member(sK5(sK9,sK10),sK10)
| member(sK7(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK7(sK9,sK10),sK10)
| member(sK3(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(resolution,[],[f499,f293]) ).
fof(f611,plain,
( spl12_4
| spl12_5
| spl12_6
| spl12_3
| ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f598,f133,f128,f138,f608,f604,f600]) ).
fof(f598,plain,
( equivalence(sK9,sK10)
| member(sK3(sK9,sK10),sK10)
| member(sK7(sK9,sK10),sK10)
| member(sK6(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(duplicate_literal_removal,[],[f589]) ).
fof(f589,plain,
( member(sK3(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK6(sK9,sK10),sK10)
| member(sK7(sK9,sK10),sK10)
| equivalence(sK9,sK10)
| member(sK3(sK9,sK10),sK10)
| ~ spl12_1
| ~ spl12_2 ),
inference(resolution,[],[f499,f231]) ).
fof(f141,plain,
~ spl12_3,
inference(avatar_split_clause,[],[f121,f138]) ).
fof(f121,plain,
~ equivalence(sK9,sK10),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
? [X2,X1,X0] :
( ~ equivalence(X2,X1)
& subset(X1,X0)
& equivalence(X2,X0) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
? [X2,X1,X0] :
( ~ equivalence(X2,X1)
& subset(X1,X0)
& equivalence(X2,X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
~ ! [X2,X1,X0] :
( ( subset(X1,X0)
& equivalence(X2,X0) )
=> equivalence(X2,X1) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X3,X2,X6] :
( ( equivalence(X6,X3)
& subset(X2,X3) )
=> equivalence(X6,X2) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X3,X2,X6] :
( ( equivalence(X6,X3)
& subset(X2,X3) )
=> equivalence(X6,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII01) ).
fof(f136,plain,
spl12_2,
inference(avatar_split_clause,[],[f120,f133]) ).
fof(f120,plain,
subset(sK10,sK11),
inference(cnf_transformation,[],[f37]) ).
fof(f131,plain,
spl12_1,
inference(avatar_split_clause,[],[f119,f128]) ).
fof(f119,plain,
equivalence(sK9,sK11),
inference(cnf_transformation,[],[f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET765+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:31:44 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (8294)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.50 % (8302)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52 % (8286)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.53 % (8277)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (8274)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53 % (8275)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (8300)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53 % (8301)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.53 % (8275)Refutation not found, incomplete strategy% (8275)------------------------------
% 0.20/0.53 % (8275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (8275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (8275)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (8275)Memory used [KB]: 5500
% 0.20/0.53 % (8275)Time elapsed: 0.127 s
% 0.20/0.53 % (8275)Instructions burned: 5 (million)
% 0.20/0.53 % (8275)------------------------------
% 0.20/0.53 % (8275)------------------------------
% 0.20/0.53 % (8279)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53 % (8278)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (8282)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (8282)Instruction limit reached!
% 0.20/0.53 % (8282)------------------------------
% 0.20/0.53 % (8282)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (8282)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (8282)Termination reason: Unknown
% 0.20/0.53 % (8282)Termination phase: Property scanning
% 0.20/0.53
% 0.20/0.53 % (8282)Memory used [KB]: 895
% 0.20/0.53 % (8282)Time elapsed: 0.002 s
% 0.20/0.53 % (8282)Instructions burned: 3 (million)
% 0.20/0.53 % (8282)------------------------------
% 0.20/0.53 % (8282)------------------------------
% 0.20/0.53 % (8281)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (8292)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (8276)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53 % (8291)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.53 % (8281)Instruction limit reached!
% 0.20/0.53 % (8281)------------------------------
% 0.20/0.53 % (8281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (8281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (8281)Termination reason: Unknown
% 0.20/0.53 % (8281)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (8281)Memory used [KB]: 5500
% 0.20/0.53 % (8281)Time elapsed: 0.096 s
% 0.20/0.53 % (8281)Instructions burned: 8 (million)
% 0.20/0.53 % (8281)------------------------------
% 0.20/0.53 % (8281)------------------------------
% 0.20/0.54 % (8288)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54 % (8298)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 % (8284)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (8285)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (8295)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 TRYING [2]
% 0.20/0.54 % (8299)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 % (8303)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.54 % (8290)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (8293)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (8280)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (8297)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.55 TRYING [3]
% 0.20/0.55 TRYING [1]
% 0.20/0.55 TRYING [2]
% 0.20/0.55 % (8289)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.55 TRYING [3]
% 0.20/0.55 % (8296)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.55 TRYING [1]
% 0.20/0.55 TRYING [2]
% 0.20/0.55 % (8287)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 TRYING [3]
% 0.20/0.56 % (8283)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56 TRYING [4]
% 0.20/0.57 TRYING [4]
% 0.20/0.58 TRYING [4]
% 1.78/0.60 % (8280)Instruction limit reached!
% 1.78/0.60 % (8280)------------------------------
% 1.78/0.60 % (8280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.61 TRYING [5]
% 1.78/0.61 % (8291)Instruction limit reached!
% 1.78/0.61 % (8291)------------------------------
% 1.78/0.61 % (8291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.61 % (8291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.61 % (8291)Termination reason: Unknown
% 1.78/0.61 % (8291)Termination phase: Finite model building SAT solving
% 1.78/0.61
% 1.78/0.61 % (8291)Memory used [KB]: 7675
% 1.78/0.61 % (8291)Time elapsed: 0.190 s
% 1.78/0.61 % (8291)Instructions burned: 60 (million)
% 1.78/0.61 % (8291)------------------------------
% 1.78/0.61 % (8291)------------------------------
% 1.78/0.62 % (8278)Instruction limit reached!
% 1.78/0.62 % (8278)------------------------------
% 1.78/0.62 % (8278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.62 % (8277)Instruction limit reached!
% 2.09/0.62 % (8277)------------------------------
% 2.09/0.62 % (8277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.62 % (8277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.62 % (8277)Termination reason: Unknown
% 2.09/0.62 % (8277)Termination phase: Saturation
% 2.09/0.62
% 2.09/0.62 % (8277)Memory used [KB]: 6012
% 2.09/0.62 % (8277)Time elapsed: 0.202 s
% 2.09/0.62 % (8277)Instructions burned: 52 (million)
% 2.09/0.62 % (8277)------------------------------
% 2.09/0.62 % (8277)------------------------------
% 2.09/0.63 % (8284)Instruction limit reached!
% 2.09/0.63 % (8284)------------------------------
% 2.09/0.63 % (8284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.63 % (8284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.63 % (8284)Termination reason: Unknown
% 2.09/0.63 % (8284)Termination phase: Saturation
% 2.09/0.63
% 2.09/0.63 % (8284)Memory used [KB]: 6524
% 2.09/0.63 % (8284)Time elapsed: 0.226 s
% 2.09/0.63 % (8284)Instructions burned: 51 (million)
% 2.09/0.63 % (8284)------------------------------
% 2.09/0.63 % (8284)------------------------------
% 2.09/0.63 % (8283)Instruction limit reached!
% 2.09/0.63 % (8283)------------------------------
% 2.09/0.63 % (8283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.63 % (8283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.63 % (8283)Termination reason: Unknown
% 2.09/0.63 % (8283)Termination phase: Saturation
% 2.09/0.63
% 2.09/0.63 % (8283)Memory used [KB]: 2302
% 2.09/0.63 % (8283)Time elapsed: 0.208 s
% 2.09/0.63 % (8283)Instructions burned: 52 (million)
% 2.09/0.63 % (8283)------------------------------
% 2.09/0.63 % (8283)------------------------------
% 2.09/0.63 % (8278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.63 % (8278)Termination reason: Unknown
% 2.09/0.63 % (8278)Termination phase: Saturation
% 2.09/0.63
% 2.09/0.63 % (8278)Memory used [KB]: 6652
% 2.09/0.63 % (8278)Time elapsed: 0.210 s
% 2.09/0.63 % (8278)Instructions burned: 51 (million)
% 2.09/0.63 % (8278)------------------------------
% 2.09/0.63 % (8278)------------------------------
% 2.09/0.63 % (8280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.63 % (8280)Termination reason: Unknown
% 2.09/0.63 % (8280)Termination phase: Finite model building SAT solving
% 2.09/0.63
% 2.09/0.63 % (8280)Memory used [KB]: 7291
% 2.09/0.63 % (8280)Time elapsed: 0.140 s
% 2.09/0.63 % (8280)Instructions burned: 52 (million)
% 2.09/0.63 % (8280)------------------------------
% 2.09/0.63 % (8280)------------------------------
% 2.09/0.63 % (8279)Instruction limit reached!
% 2.09/0.63 % (8279)------------------------------
% 2.09/0.63 % (8279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.63 % (8279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.63 % (8279)Termination reason: Unknown
% 2.09/0.63 % (8279)Termination phase: Saturation
% 2.09/0.63
% 2.09/0.63 % (8279)Memory used [KB]: 6268
% 2.09/0.63 % (8279)Time elapsed: 0.228 s
% 2.09/0.63 % (8279)Instructions burned: 48 (million)
% 2.09/0.63 % (8279)------------------------------
% 2.09/0.63 % (8279)------------------------------
% 2.09/0.64 % (8276)Instruction limit reached!
% 2.09/0.64 % (8276)------------------------------
% 2.09/0.64 % (8276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.65 % (8276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.65 % (8276)Termination reason: Unknown
% 2.09/0.65 % (8276)Termination phase: Saturation
% 2.09/0.65
% 2.09/0.65 % (8276)Memory used [KB]: 1663
% 2.09/0.65 % (8276)Time elapsed: 0.222 s
% 2.09/0.65 % (8276)Instructions burned: 37 (million)
% 2.09/0.65 % (8276)------------------------------
% 2.09/0.65 % (8276)------------------------------
% 2.37/0.66 % (8288)Instruction limit reached!
% 2.37/0.66 % (8288)------------------------------
% 2.37/0.66 % (8288)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.66 % (8300)Instruction limit reached!
% 2.37/0.66 % (8300)------------------------------
% 2.37/0.66 % (8300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.68 % (8306)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 (2998ds/90Mi)
% 2.37/0.68 % (8288)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.68 % (8288)Termination reason: Unknown
% 2.37/0.68 % (8288)Termination phase: Saturation
% 2.37/0.68
% 2.37/0.68 % (8288)Memory used [KB]: 6780
% 2.37/0.68 % (8288)Time elapsed: 0.038 s
% 2.37/0.68 % (8288)Instructions burned: 69 (million)
% 2.37/0.68 % (8288)------------------------------
% 2.37/0.68 % (8288)------------------------------
% 2.37/0.68 % (8305)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 (2998ds/211Mi)
% 2.37/0.68 % (8300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.68 % (8300)Termination reason: Unknown
% 2.37/0.68 % (8300)Termination phase: Saturation
% 2.37/0.68
% 2.37/0.68 % (8300)Memory used [KB]: 6908
% 2.37/0.68 % (8300)Time elapsed: 0.040 s
% 2.37/0.68 % (8300)Instructions burned: 69 (million)
% 2.37/0.68 % (8300)------------------------------
% 2.37/0.68 % (8300)------------------------------
% 2.37/0.69 % (8285)Instruction limit reached!
% 2.37/0.69 % (8285)------------------------------
% 2.37/0.69 % (8285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.69 % (8285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.69 % (8285)Termination reason: Unknown
% 2.37/0.69 % (8285)Termination phase: Saturation
% 2.37/0.69
% 2.37/0.69 % (8285)Memory used [KB]: 6652
% 2.37/0.69 % (8285)Time elapsed: 0.294 s
% 2.37/0.69 % (8285)Instructions burned: 100 (million)
% 2.37/0.69 % (8285)------------------------------
% 2.37/0.69 % (8285)------------------------------
% 2.37/0.70 % (8286)Instruction limit reached!
% 2.37/0.70 % (8286)------------------------------
% 2.37/0.70 % (8286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.70 % (8286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.70 % (8286)Termination reason: Unknown
% 2.37/0.70 % (8286)Termination phase: Saturation
% 2.37/0.70
% 2.37/0.70 % (8286)Memory used [KB]: 6780
% 2.37/0.70 % (8286)Time elapsed: 0.278 s
% 2.37/0.70 % (8286)Instructions burned: 102 (million)
% 2.37/0.70 % (8286)------------------------------
% 2.37/0.70 % (8286)------------------------------
% 2.37/0.70 % (8289)Instruction limit reached!
% 2.37/0.70 % (8289)------------------------------
% 2.37/0.70 % (8289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.70 % (8289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.70 % (8289)Termination reason: Unknown
% 2.37/0.70 % (8289)Termination phase: Saturation
% 2.37/0.70
% 2.37/0.70 % (8289)Memory used [KB]: 2430
% 2.37/0.70 % (8289)Time elapsed: 0.299 s
% 2.37/0.70 % (8289)Instructions burned: 77 (million)
% 2.37/0.70 % (8289)------------------------------
% 2.37/0.70 % (8289)------------------------------
% 2.37/0.71 TRYING [6]
% 2.37/0.71 % (8292)Instruction limit reached!
% 2.37/0.71 % (8292)------------------------------
% 2.37/0.71 % (8292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.71 % (8292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.71 % (8292)Termination reason: Unknown
% 2.37/0.71 % (8292)Termination phase: Saturation
% 2.37/0.71
% 2.37/0.71 % (8292)Memory used [KB]: 7291
% 2.37/0.71 % (8292)Time elapsed: 0.298 s
% 2.37/0.71 % (8292)Instructions burned: 100 (million)
% 2.37/0.71 % (8292)------------------------------
% 2.37/0.71 % (8292)------------------------------
% 2.37/0.71 % (8293)Instruction limit reached!
% 2.37/0.71 % (8293)------------------------------
% 2.37/0.71 % (8293)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.72 % (8293)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.72 % (8293)Termination reason: Unknown
% 2.37/0.72 % (8293)Termination phase: Saturation
% 2.37/0.72
% 2.37/0.72 % (8293)Memory used [KB]: 2558
% 2.37/0.72 % (8293)Time elapsed: 0.304 s
% 2.37/0.72 % (8293)Instructions burned: 100 (million)
% 2.37/0.72 % (8293)------------------------------
% 2.37/0.72 % (8293)------------------------------
% 2.37/0.72 % (8287)Instruction limit reached!
% 2.37/0.72 % (8287)------------------------------
% 2.37/0.72 % (8287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.72 % (8287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.72 % (8287)Termination reason: Unknown
% 2.37/0.72 % (8287)Termination phase: Saturation
% 2.37/0.72
% 2.37/0.72 % (8287)Memory used [KB]: 6780
% 2.37/0.72 % (8287)Time elapsed: 0.321 s
% 2.37/0.72 % (8287)Instructions burned: 99 (million)
% 2.37/0.72 % (8287)------------------------------
% 2.37/0.72 % (8287)------------------------------
% 2.37/0.72 % (8304)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 (2998ds/388Mi)
% 2.82/0.73 % (8290)Instruction limit reached!
% 2.82/0.73 % (8290)------------------------------
% 2.82/0.73 % (8290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.82/0.73 % (8290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.82/0.73 % (8290)Termination reason: Unknown
% 2.82/0.73 % (8290)Termination phase: Saturation
% 2.82/0.73
% 2.82/0.73 % (8290)Memory used [KB]: 6652
% 2.82/0.73 % (8290)Time elapsed: 0.316 s
% 2.82/0.73 % (8290)Instructions burned: 100 (million)
% 2.82/0.73 % (8290)------------------------------
% 2.82/0.73 % (8290)------------------------------
% 2.82/0.74 % (8308)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.82/0.74 % (8312)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 (2997ds/940Mi)
% 2.82/0.75 % (8309)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)
% 2.82/0.75 % (8307)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.82/0.77 % (8310)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)
% 2.82/0.77 % (8311)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 (2997ds/68Mi)
% 2.98/0.77 % (8315)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)
% 2.98/0.78 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.98/0.79 % (8313)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 (2997ds/981Mi)
% 2.98/0.80 % (8295)Instruction limit reached!
% 2.98/0.80 % (8295)------------------------------
% 2.98/0.80 % (8295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.98/0.81 % (8295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.98/0.81 % (8295)Termination reason: Unknown
% 2.98/0.81 % (8295)Termination phase: Saturation
% 2.98/0.81
% 2.98/0.81 % (8295)Memory used [KB]: 7803
% 2.98/0.81 % (8295)Time elapsed: 0.402 s
% 2.98/0.81 % (8295)Instructions burned: 139 (million)
% 2.98/0.81 % (8295)------------------------------
% 2.98/0.81 % (8295)------------------------------
% 2.98/0.81 % (8317)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.98/0.82 % (8316)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)
% 2.98/0.82 % (8318)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)
% 2.98/0.83 % (8319)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)
% 2.98/0.84 % (8320)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.98/0.84 % (8294)Instruction limit reached!
% 2.98/0.84 % (8294)------------------------------
% 2.98/0.84 % (8294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.98/0.84 % (8294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.98/0.84 % (8294)Termination reason: Unknown
% 2.98/0.84 % (8294)Termination phase: Saturation
% 2.98/0.84
% 2.98/0.84 % (8294)Memory used [KB]: 7291
% 2.98/0.84 % (8294)Time elapsed: 0.388 s
% 2.98/0.84 % (8294)Instructions burned: 176 (million)
% 2.98/0.84 % (8294)------------------------------
% 2.98/0.84 % (8294)------------------------------
% 3.26/0.85 % (8323)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 (2996ds/1824Mi)
% 3.26/0.85 % (8301)Instruction limit reached!
% 3.26/0.85 % (8301)------------------------------
% 3.26/0.85 % (8301)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.26/0.85 % (8301)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.26/0.85 % (8301)Termination reason: Unknown
% 3.26/0.85 % (8301)Termination phase: Saturation
% 3.26/0.85
% 3.26/0.85 % (8301)Memory used [KB]: 4093
% 3.26/0.85 % (8301)Time elapsed: 0.452 s
% 3.26/0.85 % (8301)Instructions burned: 177 (million)
% 3.26/0.85 % (8301)------------------------------
% 3.26/0.85 % (8301)------------------------------
% 3.26/0.85 % (8306)Instruction limit reached!
% 3.26/0.85 % (8306)------------------------------
% 3.26/0.85 % (8306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.26/0.85 % (8306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.26/0.85 % (8306)Termination reason: Unknown
% 3.26/0.85 % (8306)Termination phase: Saturation
% 3.26/0.85
% 3.26/0.85 % (8306)Memory used [KB]: 7164
% 3.26/0.85 % (8306)Time elapsed: 0.248 s
% 3.26/0.85 % (8306)Instructions burned: 91 (million)
% 3.26/0.85 % (8306)------------------------------
% 3.26/0.85 % (8306)------------------------------
% 3.26/0.86 % (8321)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 (2996ds/4931Mi)
% 3.26/0.86 % (8322)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)
% 3.26/0.86 % (8324)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 (2996ds/2134Mi)
% 3.35/0.90 TRYING [7]
% 3.35/0.91 % (8311)Instruction limit reached!
% 3.35/0.91 % (8311)------------------------------
% 3.35/0.91 % (8311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.35/0.91 % (8311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.35/0.91 % (8311)Termination reason: Unknown
% 3.35/0.91 % (8311)Termination phase: Saturation
% 3.35/0.91
% 3.35/0.91 % (8311)Memory used [KB]: 6908
% 3.35/0.91 % (8311)Time elapsed: 0.041 s
% 3.35/0.91 % (8311)Instructions burned: 69 (million)
% 3.35/0.91 % (8311)------------------------------
% 3.35/0.91 % (8311)------------------------------
% 3.56/0.93 % (8315)Instruction limit reached!
% 3.56/0.93 % (8315)------------------------------
% 3.56/0.93 % (8315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.56/0.93 % (8315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.56/0.93 % (8315)Termination reason: Unknown
% 3.56/0.93 % (8315)Termination phase: Saturation
% 3.56/0.93
% 3.56/0.93 % (8315)Memory used [KB]: 7036
% 3.56/0.93 % (8315)Time elapsed: 0.250 s
% 3.56/0.93 % (8315)Instructions burned: 91 (million)
% 3.56/0.93 % (8315)------------------------------
% 3.56/0.93 % (8315)------------------------------
% 3.56/0.94 % (8325)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.70/0.97 % (8327)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.70/0.97 % (8322)Instruction limit reached!
% 3.70/0.97 % (8322)------------------------------
% 3.70/0.97 % (8322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.70/0.97 % (8322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.70/0.97 % (8322)Termination reason: Unknown
% 3.70/0.97 % (8322)Termination phase: Saturation
% 3.70/0.97
% 3.70/0.97 % (8322)Memory used [KB]: 6908
% 3.70/0.97 % (8322)Time elapsed: 0.036 s
% 3.70/0.97 % (8322)Instructions burned: 69 (million)
% 3.70/0.97 % (8322)------------------------------
% 3.70/0.97 % (8322)------------------------------
% 3.70/0.98 % (8326)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.70/0.99 % (8328)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2016Mi)
% 3.98/1.04 % (8305)Instruction limit reached!
% 3.98/1.04 % (8305)------------------------------
% 3.98/1.04 % (8305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.98/1.04 % (8305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.98/1.04 % (8305)Termination reason: Unknown
% 3.98/1.04 % (8305)Termination phase: Saturation
% 3.98/1.04
% 3.98/1.04 % (8305)Memory used [KB]: 4605
% 3.98/1.04 % (8305)Time elapsed: 0.457 s
% 3.98/1.04 % (8305)Instructions burned: 212 (million)
% 3.98/1.04 % (8305)------------------------------
% 3.98/1.04 % (8305)------------------------------
% 3.98/1.05 % (8329)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.98/1.06 % (8330)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 (2994ds/9965Mi)
% 4.11/1.13 % (8331)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)
% 4.11/1.14 % (8327)Instruction limit reached!
% 4.11/1.14 % (8327)------------------------------
% 4.11/1.14 % (8327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.11/1.14 % (8327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.11/1.14 % (8327)Termination reason: Unknown
% 4.11/1.14 % (8327)Termination phase: Saturation
% 4.11/1.14
% 4.11/1.14 % (8327)Memory used [KB]: 7164
% 4.11/1.14 % (8327)Time elapsed: 0.271 s
% 4.11/1.14 % (8327)Instructions burned: 91 (million)
% 4.11/1.14 % (8327)------------------------------
% 4.11/1.14 % (8327)------------------------------
% 6.32/1.16 % (8297)Instruction limit reached!
% 6.32/1.16 % (8297)------------------------------
% 6.32/1.16 % (8297)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.32/1.16 % (8297)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.32/1.16 % (8297)Termination reason: Unknown
% 6.32/1.16 % (8297)Termination phase: Saturation
% 6.32/1.16
% 6.32/1.16 % (8297)Memory used [KB]: 6268
% 6.32/1.16 % (8297)Time elapsed: 0.751 s
% 6.32/1.16 % (8297)Instructions burned: 467 (million)
% 6.32/1.16 % (8297)------------------------------
% 6.32/1.16 % (8297)------------------------------
% 6.54/1.18 % (8332)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 (2993ds/9902Mi)
% 6.54/1.23 % (8303)Instruction limit reached!
% 6.54/1.23 % (8303)------------------------------
% 6.54/1.23 % (8303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.54/1.23 % (8303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.54/1.23 % (8303)Termination reason: Unknown
% 6.54/1.23 % (8303)Termination phase: Saturation
% 6.54/1.23
% 6.54/1.23 % (8303)Memory used [KB]: 12281
% 6.54/1.23 % (8303)Time elapsed: 0.804 s
% 6.54/1.23 % (8303)Instructions burned: 356 (million)
% 6.54/1.23 % (8303)------------------------------
% 6.54/1.23 % (8303)------------------------------
% 7.06/1.26 % (8302)Instruction limit reached!
% 7.06/1.26 % (8302)------------------------------
% 7.06/1.26 % (8302)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.06/1.26 % (8302)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.06/1.26 % (8302)Termination reason: Unknown
% 7.06/1.26 % (8302)Termination phase: Saturation
% 7.06/1.26
% 7.06/1.26 % (8302)Memory used [KB]: 14328
% 7.06/1.26 % (8302)Time elapsed: 0.827 s
% 7.06/1.26 % (8302)Instructions burned: 439 (million)
% 7.06/1.26 % (8302)------------------------------
% 7.06/1.26 % (8302)------------------------------
% 7.06/1.28 % (8333)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 (2992ds/1824Mi)
% 7.06/1.30 % (8304)Instruction limit reached!
% 7.06/1.30 % (8304)------------------------------
% 7.06/1.30 % (8304)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.06/1.30 % (8304)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.06/1.30 % (8304)Termination reason: Unknown
% 7.06/1.30 % (8304)Termination phase: Saturation
% 7.06/1.30
% 7.06/1.30 % (8304)Memory used [KB]: 9594
% 7.06/1.30 % (8304)Time elapsed: 0.681 s
% 7.06/1.30 % (8304)Instructions burned: 388 (million)
% 7.06/1.30 % (8304)------------------------------
% 7.06/1.30 % (8304)------------------------------
% 7.06/1.30 % (8296)Instruction limit reached!
% 7.06/1.30 % (8296)------------------------------
% 7.06/1.30 % (8296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.06/1.30 % (8296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.06/1.30 % (8296)Termination reason: Unknown
% 7.06/1.30 % (8296)Termination phase: Saturation
% 7.06/1.30
% 7.06/1.30 % (8296)Memory used [KB]: 3709
% 7.06/1.30 % (8296)Time elapsed: 0.824 s
% 7.06/1.30 % (8296)Instructions burned: 499 (million)
% 7.06/1.30 % (8296)------------------------------
% 7.06/1.30 % (8296)------------------------------
% 7.06/1.31 % (8334)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9989Mi)
% 7.06/1.31 TRYING [8]
% 7.83/1.36 % (8335)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9707Mi)
% 7.83/1.37 % (8298)Instruction limit reached!
% 7.83/1.37 % (8298)------------------------------
% 7.83/1.37 % (8298)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.83/1.37 % (8298)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.83/1.37 % (8298)Termination reason: Unknown
% 7.83/1.37 % (8298)Termination phase: Saturation
% 7.83/1.37
% 7.83/1.37 % (8298)Memory used [KB]: 10490
% 7.83/1.37 % (8298)Time elapsed: 0.945 s
% 7.83/1.37 % (8298)Instructions burned: 482 (million)
% 7.83/1.37 % (8298)------------------------------
% 7.83/1.37 % (8298)------------------------------
% 7.83/1.38 % (8336)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)
% 7.83/1.39 % (8299)Instruction limit reached!
% 7.83/1.39 % (8299)------------------------------
% 7.83/1.39 % (8299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.83/1.39 % (8299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.83/1.39 % (8299)Termination reason: Unknown
% 7.83/1.39 % (8299)Termination phase: Saturation
% 7.83/1.39
% 7.83/1.39 % (8299)Memory used [KB]: 11641
% 7.83/1.39 % (8299)Time elapsed: 0.988 s
% 7.83/1.39 % (8299)Instructions burned: 500 (million)
% 7.83/1.39 % (8299)------------------------------
% 7.83/1.39 % (8299)------------------------------
% 7.83/1.42 % (8337)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 (2990ds/44001Mi)
% 7.83/1.44 % (8338)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 (2990ds/4958Mi)
% 8.53/1.50 % (8336)Instruction limit reached!
% 8.53/1.50 % (8336)------------------------------
% 8.53/1.50 % (8336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.53/1.50 % (8336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.53/1.50 % (8336)Termination reason: Unknown
% 8.53/1.50 % (8336)Termination phase: Saturation
% 8.53/1.50
% 8.53/1.50 % (8336)Memory used [KB]: 6908
% 8.53/1.50 % (8336)Time elapsed: 0.126 s
% 8.53/1.50 % (8336)Instructions burned: 90 (million)
% 8.53/1.50 % (8336)------------------------------
% 8.53/1.50 % (8336)------------------------------
% 8.53/1.50 % (8339)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 (2989ds/35256Mi)
% 8.53/1.53 % (8340)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 (2989ds/32293Mi)
% 9.40/1.64 % (8341)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)
% 11.35/1.79 % (8310)Instruction limit reached!
% 11.35/1.79 % (8310)------------------------------
% 11.35/1.79 % (8310)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.35/1.79 % (8310)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.35/1.79 % (8310)Termination reason: Unknown
% 11.35/1.79 % (8310)Termination phase: Saturation
% 11.35/1.79
% 11.35/1.79 % (8310)Memory used [KB]: 5373
% 11.35/1.79 % (8310)Time elapsed: 1.138 s
% 11.35/1.79 % (8310)Instructions burned: 656 (million)
% 11.35/1.79 % (8310)------------------------------
% 11.35/1.79 % (8310)------------------------------
% 11.35/1.82 % (8323)First to succeed.
% 11.75/1.85 % (8323)Refutation found. Thanks to Tanya!
% 11.75/1.85 % SZS status Theorem for theBenchmark
% 11.75/1.85 % SZS output start Proof for theBenchmark
% See solution above
% 11.75/1.85 % (8323)------------------------------
% 11.75/1.85 % (8323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.75/1.85 % (8323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.75/1.85 % (8323)Termination reason: Refutation
% 11.75/1.85
% 11.75/1.85 % (8323)Memory used [KB]: 4477
% 11.75/1.85 % (8323)Time elapsed: 1.059 s
% 11.75/1.85 % (8323)Instructions burned: 635 (million)
% 11.75/1.85 % (8323)------------------------------
% 11.75/1.85 % (8323)------------------------------
% 11.75/1.85 % (8273)Success in time 1.497 s
%------------------------------------------------------------------------------