TSTP Solution File: SEU013+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU013+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n020.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 18:31:44 EDT 2022
% Result : Theorem 7.76s 1.41s
% Output : Refutation 7.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 162
% Syntax : Number of formulae : 622 ( 49 unt; 0 def)
% Number of atoms : 2935 ( 150 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 4325 (2012 ~;2068 |; 69 &)
% ( 144 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 146 ( 144 usr; 138 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 569 ( 557 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1736,plain,
$false,
inference(avatar_smt_refutation,[],[f146,f151,f156,f161,f166,f171,f176,f181,f186,f191,f196,f201,f202,f203,f208,f213,f218,f223,f224,f229,f234,f248,f251,f256,f269,f274,f275,f276,f305,f312,f330,f334,f336,f348,f353,f359,f364,f372,f383,f388,f405,f409,f418,f427,f438,f445,f455,f459,f466,f477,f482,f491,f504,f511,f523,f527,f531,f532,f537,f545,f550,f556,f567,f592,f598,f607,f611,f618,f624,f628,f651,f690,f695,f700,f705,f710,f715,f720,f819,f830,f835,f857,f862,f867,f872,f877,f882,f928,f936,f1006,f1018,f1031,f1032,f1036,f1040,f1044,f1051,f1063,f1172,f1244,f1259,f1347,f1364,f1368,f1372,f1376,f1390,f1395,f1401,f1405,f1416,f1420,f1424,f1434,f1453,f1457,f1472,f1476,f1510,f1514,f1518,f1522,f1553,f1557,f1561,f1565,f1587,f1591,f1605,f1609,f1627,f1637,f1641,f1645,f1654,f1658,f1667,f1671,f1695,f1702,f1714,f1735]) ).
fof(f1735,plain,
( ~ spl13_20
| ~ spl13_21
| spl13_13
| ~ spl13_137 ),
inference(avatar_split_clause,[],[f1734,f1711,f205,f245,f241]) ).
fof(f241,plain,
( spl13_20
<=> function(relation_composition(sK7,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_20])]) ).
fof(f245,plain,
( spl13_21
<=> relation(relation_composition(sK7,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_21])]) ).
fof(f205,plain,
( spl13_13
<=> one_to_one(relation_composition(sK7,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).
fof(f1711,plain,
( spl13_137
<=> sK4(relation_composition(sK7,sK8)) = sK3(relation_composition(sK7,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_137])]) ).
fof(f1734,plain,
( one_to_one(relation_composition(sK7,sK8))
| ~ relation(relation_composition(sK7,sK8))
| ~ function(relation_composition(sK7,sK8))
| ~ spl13_137 ),
inference(trivial_inequality_removal,[],[f1732]) ).
fof(f1732,plain,
( ~ function(relation_composition(sK7,sK8))
| ~ relation(relation_composition(sK7,sK8))
| one_to_one(relation_composition(sK7,sK8))
| sK3(relation_composition(sK7,sK8)) != sK3(relation_composition(sK7,sK8))
| ~ spl13_137 ),
inference(superposition,[],[f93,f1713]) ).
fof(f1713,plain,
( sK4(relation_composition(sK7,sK8)) = sK3(relation_composition(sK7,sK8))
| ~ spl13_137 ),
inference(avatar_component_clause,[],[f1711]) ).
fof(f93,plain,
! [X0] :
( sK4(X0) != sK3(X0)
| ~ relation(X0)
| one_to_one(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ( ! [X2,X1] :
( apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| X1 = X2
| ~ in(X1,relation_dom(X0)) )
<=> one_to_one(X0) ) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ( ! [X1,X2] :
( X1 = X2
| ~ in(X1,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0)) )
<=> one_to_one(X0) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( ! [X1,X2] :
( ( in(X1,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0)) )
=> X1 = X2 )
<=> one_to_one(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_funct_1) ).
fof(f1714,plain,
( ~ spl13_40
| spl13_137
| ~ spl13_89 ),
inference(avatar_split_clause,[],[f1709,f1029,f1711,f424]) ).
fof(f424,plain,
( spl13_40
<=> in(sK3(relation_composition(sK7,sK8)),relation_dom(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_40])]) ).
fof(f1029,plain,
( spl13_89
<=> ! [X2] :
( apply(sK7,X2) != apply(sK7,sK3(relation_composition(sK7,sK8)))
| ~ in(X2,relation_dom(sK7))
| sK4(relation_composition(sK7,sK8)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_89])]) ).
fof(f1709,plain,
( sK4(relation_composition(sK7,sK8)) = sK3(relation_composition(sK7,sK8))
| ~ in(sK3(relation_composition(sK7,sK8)),relation_dom(sK7))
| ~ spl13_89 ),
inference(equality_resolution,[],[f1030]) ).
fof(f1030,plain,
( ! [X2] :
( apply(sK7,X2) != apply(sK7,sK3(relation_composition(sK7,sK8)))
| sK4(relation_composition(sK7,sK8)) = X2
| ~ in(X2,relation_dom(sK7)) )
| ~ spl13_89 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f1702,plain,
( ~ spl13_11
| ~ spl13_8
| spl13_136
| ~ spl13_37
| ~ spl13_46 ),
inference(avatar_split_clause,[],[f1698,f463,f399,f1700,f178,f193]) ).
fof(f193,plain,
( spl13_11
<=> function(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).
fof(f178,plain,
( spl13_8
<=> relation(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).
fof(f1700,plain,
( spl13_136
<=> ! [X0] :
( ~ in(apply(sK7,sK3(relation_composition(sK7,sK8))),relation_dom(relation_composition(sK8,X0)))
| ~ function(X0)
| ~ relation(X0)
| in(sK3(relation_composition(sK7,sK8)),relation_dom(relation_composition(relation_composition(sK7,sK8),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_136])]) ).
fof(f399,plain,
( spl13_37
<=> ! [X0] :
( ~ relation(X0)
| ~ function(X0)
| in(sK3(relation_composition(sK7,sK8)),relation_dom(relation_composition(relation_composition(sK7,sK8),X0)))
| ~ in(apply(sK8,apply(sK7,sK4(relation_composition(sK7,sK8)))),relation_dom(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_37])]) ).
fof(f463,plain,
( spl13_46
<=> apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8)))) = apply(sK8,apply(sK7,sK4(relation_composition(sK7,sK8)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_46])]) ).
fof(f1698,plain,
( ! [X0] :
( ~ in(apply(sK7,sK3(relation_composition(sK7,sK8))),relation_dom(relation_composition(sK8,X0)))
| ~ relation(sK8)
| ~ function(sK8)
| in(sK3(relation_composition(sK7,sK8)),relation_dom(relation_composition(relation_composition(sK7,sK8),X0)))
| ~ relation(X0)
| ~ function(X0) )
| ~ spl13_37
| ~ spl13_46 ),
inference(duplicate_literal_removal,[],[f1696]) ).
fof(f1696,plain,
( ! [X0] :
( ~ relation(X0)
| ~ function(sK8)
| ~ function(X0)
| ~ relation(sK8)
| in(sK3(relation_composition(sK7,sK8)),relation_dom(relation_composition(relation_composition(sK7,sK8),X0)))
| ~ relation(X0)
| ~ in(apply(sK7,sK3(relation_composition(sK7,sK8))),relation_dom(relation_composition(sK8,X0)))
| ~ function(X0) )
| ~ spl13_37
| ~ spl13_46 ),
inference(resolution,[],[f467,f98]) ).
fof(f98,plain,
! [X2,X0,X1] :
( in(apply(X2,X1),relation_dom(X0))
| ~ in(X1,relation_dom(relation_composition(X2,X0)))
| ~ function(X2)
| ~ relation(X0)
| ~ relation(X2)
| ~ function(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X1,X0] :
( ~ function(X0)
| ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| ( ( in(X1,relation_dom(X2))
& in(apply(X2,X1),relation_dom(X0)) )
<=> in(X1,relation_dom(relation_composition(X2,X0))) ) )
| ~ relation(X0) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X1,X0] :
( ! [X2] :
( ( ( in(X1,relation_dom(X2))
& in(apply(X2,X1),relation_dom(X0)) )
<=> in(X1,relation_dom(relation_composition(X2,X0))) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X1,X0] :
( ( function(X0)
& relation(X0) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( ( in(X1,relation_dom(X2))
& in(apply(X2,X1),relation_dom(X0)) )
<=> in(X1,relation_dom(relation_composition(X2,X0))) ) ) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_1) ).
fof(f467,plain,
( ! [X0] :
( ~ in(apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8)))),relation_dom(X0))
| ~ relation(X0)
| in(sK3(relation_composition(sK7,sK8)),relation_dom(relation_composition(relation_composition(sK7,sK8),X0)))
| ~ function(X0) )
| ~ spl13_37
| ~ spl13_46 ),
inference(backward_demodulation,[],[f400,f465]) ).
fof(f465,plain,
( apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8)))) = apply(sK8,apply(sK7,sK4(relation_composition(sK7,sK8))))
| ~ spl13_46 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f400,plain,
( ! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ~ in(apply(sK8,apply(sK7,sK4(relation_composition(sK7,sK8)))),relation_dom(X0))
| in(sK3(relation_composition(sK7,sK8)),relation_dom(relation_composition(relation_composition(sK7,sK8),X0))) )
| ~ spl13_37 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f1695,plain,
( ~ spl13_9
| ~ spl13_7
| spl13_135
| ~ spl13_45 ),
inference(avatar_split_clause,[],[f1690,f457,f1693,f173,f183]) ).
fof(f183,plain,
( spl13_9
<=> relation(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).
fof(f173,plain,
( spl13_7
<=> function(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
fof(f1693,plain,
( spl13_135
<=> ! [X0] :
( empty(relation_dom(relation_composition(X0,relation_composition(sK7,sK8))))
| ~ in(sK1(relation_dom(relation_composition(X0,relation_composition(sK7,sK8)))),relation_dom(X0))
| ~ relation(X0)
| ~ function(X0)
| in(sK1(relation_dom(relation_composition(X0,relation_composition(sK7,sK8)))),relation_dom(relation_composition(X0,sK7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_135])]) ).
fof(f457,plain,
( spl13_45
<=> ! [X4,X5] :
( ~ relation(X5)
| ~ in(X4,relation_dom(relation_composition(X5,relation_composition(sK7,sK8))))
| ~ function(X5)
| in(apply(X5,X4),relation_dom(sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_45])]) ).
fof(f1690,plain,
( ! [X0] :
( empty(relation_dom(relation_composition(X0,relation_composition(sK7,sK8))))
| in(sK1(relation_dom(relation_composition(X0,relation_composition(sK7,sK8)))),relation_dom(relation_composition(X0,sK7)))
| ~ function(X0)
| ~ relation(X0)
| ~ in(sK1(relation_dom(relation_composition(X0,relation_composition(sK7,sK8)))),relation_dom(X0))
| ~ function(sK7)
| ~ relation(sK7) )
| ~ spl13_45 ),
inference(duplicate_literal_removal,[],[f1686]) ).
fof(f1686,plain,
( ! [X0] :
( ~ relation(X0)
| ~ function(sK7)
| empty(relation_dom(relation_composition(X0,relation_composition(sK7,sK8))))
| ~ relation(sK7)
| in(sK1(relation_dom(relation_composition(X0,relation_composition(sK7,sK8)))),relation_dom(relation_composition(X0,sK7)))
| ~ function(X0)
| ~ function(X0)
| ~ in(sK1(relation_dom(relation_composition(X0,relation_composition(sK7,sK8)))),relation_dom(X0))
| ~ relation(X0) )
| ~ spl13_45 ),
inference(resolution,[],[f663,f97]) ).
fof(f97,plain,
! [X2,X0,X1] :
( ~ in(apply(X2,X1),relation_dom(X0))
| ~ relation(X2)
| ~ in(X1,relation_dom(X2))
| ~ relation(X0)
| ~ function(X0)
| in(X1,relation_dom(relation_composition(X2,X0)))
| ~ function(X2) ),
inference(cnf_transformation,[],[f78]) ).
fof(f663,plain,
( ! [X7] :
( in(apply(X7,sK1(relation_dom(relation_composition(X7,relation_composition(sK7,sK8))))),relation_dom(sK7))
| empty(relation_dom(relation_composition(X7,relation_composition(sK7,sK8))))
| ~ relation(X7)
| ~ function(X7) )
| ~ spl13_45 ),
inference(resolution,[],[f391,f458]) ).
fof(f458,plain,
( ! [X4,X5] :
( ~ in(X4,relation_dom(relation_composition(X5,relation_composition(sK7,sK8))))
| ~ function(X5)
| in(apply(X5,X4),relation_dom(sK7))
| ~ relation(X5) )
| ~ spl13_45 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f391,plain,
! [X2] :
( in(sK1(X2),X2)
| empty(X2) ),
inference(resolution,[],[f86,f90]) ).
fof(f90,plain,
! [X0] : element(sK1(X0),X0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f86,plain,
! [X0,X1] :
( ~ element(X1,X0)
| empty(X0)
| in(X1,X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X1,X0] :
( ~ element(X1,X0)
| in(X1,X0)
| empty(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( empty(X0)
| in(X1,X0)
| ~ element(X1,X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( element(X1,X0)
=> ( empty(X0)
| in(X1,X0) ) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X1,X0] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f1671,plain,
( ~ spl13_8
| ~ spl13_11
| spl13_134
| ~ spl13_7
| ~ spl13_9
| ~ spl13_106 ),
inference(avatar_split_clause,[],[f1659,f1403,f183,f173,f1669,f193,f178]) ).
fof(f1669,plain,
( spl13_134
<=> ! [X0] :
( apply(relation_composition(sK7,sK8),sK3(relation_composition(relation_composition(sK7,sK8),X0))) = apply(sK8,apply(sK7,sK3(relation_composition(relation_composition(sK7,sK8),X0))))
| one_to_one(relation_composition(relation_composition(sK7,sK8),X0))
| ~ function(X0)
| ~ relation(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_134])]) ).
fof(f1403,plain,
( spl13_106
<=> ! [X5] :
( ~ relation(X5)
| in(sK3(relation_composition(relation_composition(sK7,sK8),X5)),relation_dom(relation_composition(sK7,sK8)))
| ~ function(X5)
| one_to_one(relation_composition(relation_composition(sK7,sK8),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_106])]) ).
fof(f1659,plain,
( ! [X0] :
( ~ relation(sK7)
| ~ function(sK7)
| apply(relation_composition(sK7,sK8),sK3(relation_composition(relation_composition(sK7,sK8),X0))) = apply(sK8,apply(sK7,sK3(relation_composition(relation_composition(sK7,sK8),X0))))
| ~ relation(X0)
| ~ function(X0)
| one_to_one(relation_composition(relation_composition(sK7,sK8),X0))
| ~ function(sK8)
| ~ relation(sK8) )
| ~ spl13_106 ),
inference(resolution,[],[f1404,f110]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ in(X1,relation_dom(relation_composition(X2,X0)))
| ~ function(X2)
| ~ relation(X0)
| ~ relation(X2)
| apply(X0,apply(X2,X1)) = apply(relation_composition(X2,X0),X1)
| ~ function(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X1,X0] :
( ~ function(X0)
| ! [X2] :
( apply(X0,apply(X2,X1)) = apply(relation_composition(X2,X0),X1)
| ~ in(X1,relation_dom(relation_composition(X2,X0)))
| ~ function(X2)
| ~ relation(X2) )
| ~ relation(X0) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X1,X0] :
( ! [X2] :
( apply(X0,apply(X2,X1)) = apply(relation_composition(X2,X0),X1)
| ~ in(X1,relation_dom(relation_composition(X2,X0)))
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X1,X0] :
( ( function(X0)
& relation(X0) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X1,relation_dom(relation_composition(X2,X0)))
=> apply(X0,apply(X2,X1)) = apply(relation_composition(X2,X0),X1) ) ) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
=> apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_funct_1) ).
fof(f1404,plain,
( ! [X5] :
( in(sK3(relation_composition(relation_composition(sK7,sK8),X5)),relation_dom(relation_composition(sK7,sK8)))
| ~ relation(X5)
| one_to_one(relation_composition(relation_composition(sK7,sK8),X5))
| ~ function(X5) )
| ~ spl13_106 ),
inference(avatar_component_clause,[],[f1403]) ).
fof(f1667,plain,
( ~ spl13_7
| ~ spl13_9
| ~ spl13_11
| ~ spl13_8
| spl13_133
| ~ spl13_106 ),
inference(avatar_split_clause,[],[f1660,f1403,f1665,f178,f193,f183,f173]) ).
fof(f1665,plain,
( spl13_133
<=> ! [X1] :
( ~ function(X1)
| in(sK3(relation_composition(relation_composition(sK7,sK8),X1)),relation_dom(sK7))
| ~ relation(X1)
| one_to_one(relation_composition(relation_composition(sK7,sK8),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_133])]) ).
fof(f1660,plain,
( ! [X1] :
( ~ function(X1)
| one_to_one(relation_composition(relation_composition(sK7,sK8),X1))
| ~ relation(sK8)
| ~ relation(X1)
| ~ function(sK8)
| ~ relation(sK7)
| ~ function(sK7)
| in(sK3(relation_composition(relation_composition(sK7,sK8),X1)),relation_dom(sK7)) )
| ~ spl13_106 ),
inference(resolution,[],[f1404,f99]) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ in(X1,relation_dom(relation_composition(X2,X0)))
| ~ relation(X0)
| ~ relation(X2)
| ~ function(X0)
| in(X1,relation_dom(X2))
| ~ function(X2) ),
inference(cnf_transformation,[],[f78]) ).
fof(f1658,plain,
( ~ spl13_7
| ~ spl13_8
| ~ spl13_11
| spl13_132
| ~ spl13_9
| ~ spl13_101 ),
inference(avatar_split_clause,[],[f1647,f1370,f183,f1656,f193,f178,f173]) ).
fof(f1656,plain,
( spl13_132
<=> ! [X1] :
( ~ function(X1)
| one_to_one(relation_composition(relation_composition(sK7,sK8),X1))
| ~ relation(X1)
| in(sK4(relation_composition(relation_composition(sK7,sK8),X1)),relation_dom(sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_132])]) ).
fof(f1370,plain,
( spl13_101
<=> ! [X5] :
( in(sK4(relation_composition(relation_composition(sK7,sK8),X5)),relation_dom(relation_composition(sK7,sK8)))
| one_to_one(relation_composition(relation_composition(sK7,sK8),X5))
| ~ function(X5)
| ~ relation(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_101])]) ).
fof(f1647,plain,
( ! [X1] :
( ~ relation(sK7)
| ~ function(X1)
| in(sK4(relation_composition(relation_composition(sK7,sK8),X1)),relation_dom(sK7))
| ~ function(sK8)
| ~ relation(sK8)
| ~ relation(X1)
| one_to_one(relation_composition(relation_composition(sK7,sK8),X1))
| ~ function(sK7) )
| ~ spl13_101 ),
inference(resolution,[],[f1371,f99]) ).
fof(f1371,plain,
( ! [X5] :
( in(sK4(relation_composition(relation_composition(sK7,sK8),X5)),relation_dom(relation_composition(sK7,sK8)))
| ~ function(X5)
| one_to_one(relation_composition(relation_composition(sK7,sK8),X5))
| ~ relation(X5) )
| ~ spl13_101 ),
inference(avatar_component_clause,[],[f1370]) ).
fof(f1654,plain,
( ~ spl13_9
| ~ spl13_7
| ~ spl13_8
| ~ spl13_11
| spl13_131
| ~ spl13_101 ),
inference(avatar_split_clause,[],[f1646,f1370,f1652,f193,f178,f173,f183]) ).
fof(f1652,plain,
( spl13_131
<=> ! [X0] :
( ~ function(X0)
| one_to_one(relation_composition(relation_composition(sK7,sK8),X0))
| apply(relation_composition(sK7,sK8),sK4(relation_composition(relation_composition(sK7,sK8),X0))) = apply(sK8,apply(sK7,sK4(relation_composition(relation_composition(sK7,sK8),X0))))
| ~ relation(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_131])]) ).
fof(f1646,plain,
( ! [X0] :
( ~ function(X0)
| ~ function(sK8)
| ~ relation(X0)
| apply(relation_composition(sK7,sK8),sK4(relation_composition(relation_composition(sK7,sK8),X0))) = apply(sK8,apply(sK7,sK4(relation_composition(relation_composition(sK7,sK8),X0))))
| ~ relation(sK8)
| one_to_one(relation_composition(relation_composition(sK7,sK8),X0))
| ~ function(sK7)
| ~ relation(sK7) )
| ~ spl13_101 ),
inference(resolution,[],[f1371,f110]) ).
fof(f1645,plain,
( ~ spl13_16
| spl13_130
| ~ spl13_6 ),
inference(avatar_split_clause,[],[f1616,f168,f1643,f220]) ).
fof(f220,plain,
( spl13_16
<=> relation(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_16])]) ).
fof(f1643,plain,
( spl13_130
<=> ! [X19,X20,X21,X22] :
( ~ relation(X20)
| ~ function(X22)
| ~ function(X21)
| ~ in(X19,relation_dom(relation_composition(X20,relation_composition(sK0,relation_composition(X21,X22)))))
| ~ function(X20)
| ~ relation(X21)
| ~ function(relation_composition(sK0,relation_composition(X21,X22)))
| ~ relation(X22)
| ~ relation(relation_composition(X21,X22))
| apply(X22,apply(X21,apply(sK0,apply(X20,X19)))) = apply(relation_composition(X21,X22),apply(sK0,apply(X20,X19)))
| ~ relation(relation_composition(sK0,relation_composition(X21,X22))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_130])]) ).
fof(f168,plain,
( spl13_6
<=> function(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).
fof(f1616,plain,
( ! [X21,X19,X22,X20] :
( ~ relation(X20)
| ~ relation(relation_composition(sK0,relation_composition(X21,X22)))
| ~ relation(sK0)
| apply(X22,apply(X21,apply(sK0,apply(X20,X19)))) = apply(relation_composition(X21,X22),apply(sK0,apply(X20,X19)))
| ~ relation(relation_composition(X21,X22))
| ~ relation(X22)
| ~ function(relation_composition(sK0,relation_composition(X21,X22)))
| ~ relation(X21)
| ~ function(X20)
| ~ in(X19,relation_dom(relation_composition(X20,relation_composition(sK0,relation_composition(X21,X22)))))
| ~ function(X21)
| ~ function(X22) )
| ~ spl13_6 ),
inference(resolution,[],[f657,f170]) ).
fof(f170,plain,
( function(sK0)
| ~ spl13_6 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f657,plain,
! [X10,X8,X6,X9,X7] :
( ~ function(X8)
| ~ in(X10,relation_dom(relation_composition(X9,relation_composition(X8,relation_composition(X7,X6)))))
| ~ function(X9)
| ~ function(X6)
| apply(relation_composition(X7,X6),apply(X8,apply(X9,X10))) = apply(X6,apply(X7,apply(X8,apply(X9,X10))))
| ~ function(X7)
| ~ function(relation_composition(X8,relation_composition(X7,X6)))
| ~ relation(X6)
| ~ relation(relation_composition(X8,relation_composition(X7,X6)))
| ~ relation(X9)
| ~ relation(relation_composition(X7,X6))
| ~ relation(X7)
| ~ relation(X8) ),
inference(resolution,[],[f500,f98]) ).
fof(f500,plain,
! [X2,X3,X0,X1] :
( ~ in(X1,relation_dom(relation_composition(X2,relation_composition(X0,X3))))
| ~ relation(X3)
| ~ function(X0)
| ~ relation(relation_composition(X0,X3))
| ~ function(X2)
| ~ relation(X2)
| ~ relation(X0)
| ~ function(X3)
| apply(X3,apply(X0,apply(X2,X1))) = apply(relation_composition(X0,X3),apply(X2,X1)) ),
inference(duplicate_literal_removal,[],[f497]) ).
fof(f497,plain,
! [X2,X3,X0,X1] :
( ~ function(X0)
| ~ function(X3)
| apply(X3,apply(X0,apply(X2,X1))) = apply(relation_composition(X0,X3),apply(X2,X1))
| ~ relation(X0)
| ~ relation(X2)
| ~ relation(relation_composition(X0,X3))
| ~ function(X3)
| ~ relation(X3)
| ~ function(X0)
| ~ relation(X0)
| ~ relation(X3)
| ~ in(X1,relation_dom(relation_composition(X2,relation_composition(X0,X3))))
| ~ function(X2) ),
inference(resolution,[],[f285,f139]) ).
fof(f139,plain,
! [X0,X1] :
( function(relation_composition(X0,X1))
| ~ relation(X1)
| ~ function(X0)
| ~ function(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X1,X0] :
( ( function(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) )
| ~ function(X1)
| ~ relation(X0)
| ~ relation(X1)
| ~ function(X0) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ( function(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) )
| ~ relation(X1)
| ~ relation(X0)
| ~ function(X1)
| ~ function(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( relation(X1)
& relation(X0)
& function(X1)
& function(X0) )
=> ( function(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_funct_1) ).
fof(f285,plain,
! [X6,X7,X4,X5] :
( ~ function(relation_composition(X4,X5))
| ~ relation(X4)
| ~ in(X7,relation_dom(relation_composition(X6,relation_composition(X4,X5))))
| ~ function(X5)
| apply(X5,apply(X4,apply(X6,X7))) = apply(relation_composition(X4,X5),apply(X6,X7))
| ~ function(X6)
| ~ relation(X6)
| ~ function(X4)
| ~ relation(X5)
| ~ relation(relation_composition(X4,X5)) ),
inference(resolution,[],[f110,f98]) ).
fof(f1641,plain,
( spl13_129
| ~ spl13_8
| ~ spl13_11 ),
inference(avatar_split_clause,[],[f1618,f193,f178,f1639]) ).
fof(f1639,plain,
( spl13_129
<=> ! [X29,X27,X28,X30] :
( ~ relation(X29)
| ~ function(X28)
| ~ in(X27,relation_dom(relation_composition(X28,relation_composition(sK8,relation_composition(X29,X30)))))
| ~ relation(relation_composition(sK8,relation_composition(X29,X30)))
| ~ relation(relation_composition(X29,X30))
| ~ function(X29)
| ~ function(X30)
| ~ relation(X28)
| apply(X30,apply(X29,apply(sK8,apply(X28,X27)))) = apply(relation_composition(X29,X30),apply(sK8,apply(X28,X27)))
| ~ relation(X30)
| ~ function(relation_composition(sK8,relation_composition(X29,X30))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_129])]) ).
fof(f1618,plain,
( ! [X28,X29,X27,X30] :
( ~ relation(sK8)
| ~ relation(X29)
| ~ function(relation_composition(sK8,relation_composition(X29,X30)))
| ~ relation(X30)
| apply(X30,apply(X29,apply(sK8,apply(X28,X27)))) = apply(relation_composition(X29,X30),apply(sK8,apply(X28,X27)))
| ~ relation(X28)
| ~ function(X30)
| ~ function(X29)
| ~ relation(relation_composition(X29,X30))
| ~ relation(relation_composition(sK8,relation_composition(X29,X30)))
| ~ in(X27,relation_dom(relation_composition(X28,relation_composition(sK8,relation_composition(X29,X30)))))
| ~ function(X28) )
| ~ spl13_11 ),
inference(resolution,[],[f657,f195]) ).
fof(f195,plain,
( function(sK8)
| ~ spl13_11 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f1637,plain,
( ~ spl13_21
| spl13_128
| ~ spl13_20 ),
inference(avatar_split_clause,[],[f1614,f241,f1635,f245]) ).
fof(f1635,plain,
( spl13_128
<=> ! [X11,X13,X14,X12] :
( ~ function(relation_composition(relation_composition(sK7,sK8),relation_composition(X13,X14)))
| ~ function(X14)
| ~ function(X13)
| ~ relation(relation_composition(relation_composition(sK7,sK8),relation_composition(X13,X14)))
| ~ in(X11,relation_dom(relation_composition(X12,relation_composition(relation_composition(sK7,sK8),relation_composition(X13,X14)))))
| ~ relation(X14)
| ~ relation(X13)
| ~ relation(relation_composition(X13,X14))
| ~ relation(X12)
| apply(X14,apply(X13,apply(relation_composition(sK7,sK8),apply(X12,X11)))) = apply(relation_composition(X13,X14),apply(relation_composition(sK7,sK8),apply(X12,X11)))
| ~ function(X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_128])]) ).
fof(f1614,plain,
( ! [X11,X14,X12,X13] :
( ~ function(relation_composition(relation_composition(sK7,sK8),relation_composition(X13,X14)))
| ~ relation(relation_composition(sK7,sK8))
| ~ function(X12)
| apply(X14,apply(X13,apply(relation_composition(sK7,sK8),apply(X12,X11)))) = apply(relation_composition(X13,X14),apply(relation_composition(sK7,sK8),apply(X12,X11)))
| ~ relation(X12)
| ~ relation(relation_composition(X13,X14))
| ~ relation(X13)
| ~ relation(X14)
| ~ in(X11,relation_dom(relation_composition(X12,relation_composition(relation_composition(sK7,sK8),relation_composition(X13,X14)))))
| ~ relation(relation_composition(relation_composition(sK7,sK8),relation_composition(X13,X14)))
| ~ function(X13)
| ~ function(X14) )
| ~ spl13_20 ),
inference(resolution,[],[f657,f242]) ).
fof(f242,plain,
( function(relation_composition(sK7,sK8))
| ~ spl13_20 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f1627,plain,
( ~ spl13_9
| spl13_127
| ~ spl13_7 ),
inference(avatar_split_clause,[],[f1617,f173,f1625,f183]) ).
fof(f1625,plain,
( spl13_127
<=> ! [X24,X23,X25,X26] :
( apply(X26,apply(X25,apply(sK7,apply(X24,X23)))) = apply(relation_composition(X25,X26),apply(sK7,apply(X24,X23)))
| ~ function(X26)
| ~ function(X25)
| ~ function(relation_composition(sK7,relation_composition(X25,X26)))
| ~ relation(relation_composition(X25,X26))
| ~ relation(relation_composition(sK7,relation_composition(X25,X26)))
| ~ relation(X24)
| ~ in(X23,relation_dom(relation_composition(X24,relation_composition(sK7,relation_composition(X25,X26)))))
| ~ relation(X25)
| ~ relation(X26)
| ~ function(X24) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_127])]) ).
fof(f1617,plain,
( ! [X26,X24,X25,X23] :
( apply(X26,apply(X25,apply(sK7,apply(X24,X23)))) = apply(relation_composition(X25,X26),apply(sK7,apply(X24,X23)))
| ~ function(X24)
| ~ relation(X26)
| ~ relation(X25)
| ~ in(X23,relation_dom(relation_composition(X24,relation_composition(sK7,relation_composition(X25,X26)))))
| ~ relation(X24)
| ~ relation(relation_composition(sK7,relation_composition(X25,X26)))
| ~ relation(relation_composition(X25,X26))
| ~ function(relation_composition(sK7,relation_composition(X25,X26)))
| ~ function(X25)
| ~ relation(sK7)
| ~ function(X26) )
| ~ spl13_7 ),
inference(resolution,[],[f657,f175]) ).
fof(f175,plain,
( function(sK7)
| ~ spl13_7 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f1609,plain,
( ~ spl13_8
| spl13_126
| ~ spl13_11 ),
inference(avatar_split_clause,[],[f1573,f193,f1607,f178]) ).
fof(f1607,plain,
( spl13_126
<=> ! [X16,X15] :
( ~ function(X15)
| ~ relation(X16)
| ~ relation(relation_composition(sK8,X15))
| one_to_one(relation_composition(X16,relation_composition(sK8,X15)))
| ~ relation(X15)
| apply(X15,apply(sK8,apply(X16,sK3(relation_composition(X16,relation_composition(sK8,X15)))))) = apply(relation_composition(sK8,X15),apply(X16,sK3(relation_composition(X16,relation_composition(sK8,X15)))))
| ~ relation(relation_composition(X16,relation_composition(sK8,X15)))
| ~ function(X16)
| ~ function(relation_composition(X16,relation_composition(sK8,X15))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_126])]) ).
fof(f1573,plain,
( ! [X16,X15] :
( ~ function(X15)
| ~ function(X16)
| ~ function(relation_composition(X16,relation_composition(sK8,X15)))
| ~ relation(relation_composition(X16,relation_composition(sK8,X15)))
| apply(X15,apply(sK8,apply(X16,sK3(relation_composition(X16,relation_composition(sK8,X15)))))) = apply(relation_composition(sK8,X15),apply(X16,sK3(relation_composition(X16,relation_composition(sK8,X15)))))
| ~ relation(X15)
| ~ relation(sK8)
| one_to_one(relation_composition(X16,relation_composition(sK8,X15)))
| ~ relation(relation_composition(sK8,X15))
| ~ relation(X16) )
| ~ spl13_11 ),
inference(resolution,[],[f656,f195]) ).
fof(f656,plain,
! [X3,X4,X5] :
( ~ function(X4)
| ~ relation(relation_composition(X4,X3))
| ~ relation(X5)
| ~ relation(relation_composition(X5,relation_composition(X4,X3)))
| apply(X3,apply(X4,apply(X5,sK3(relation_composition(X5,relation_composition(X4,X3)))))) = apply(relation_composition(X4,X3),apply(X5,sK3(relation_composition(X5,relation_composition(X4,X3)))))
| ~ function(relation_composition(X5,relation_composition(X4,X3)))
| ~ relation(X4)
| ~ function(X5)
| ~ function(X3)
| ~ relation(X3)
| one_to_one(relation_composition(X5,relation_composition(X4,X3))) ),
inference(resolution,[],[f500,f94]) ).
fof(f94,plain,
! [X0] :
( in(sK3(X0),relation_dom(X0))
| ~ function(X0)
| ~ relation(X0)
| one_to_one(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f1605,plain,
( ~ spl13_9
| spl13_125
| ~ spl13_7 ),
inference(avatar_split_clause,[],[f1572,f173,f1603,f183]) ).
fof(f1603,plain,
( spl13_125
<=> ! [X13,X14] :
( ~ relation(relation_composition(sK7,X13))
| apply(relation_composition(sK7,X13),apply(X14,sK3(relation_composition(X14,relation_composition(sK7,X13))))) = apply(X13,apply(sK7,apply(X14,sK3(relation_composition(X14,relation_composition(sK7,X13))))))
| one_to_one(relation_composition(X14,relation_composition(sK7,X13)))
| ~ relation(relation_composition(X14,relation_composition(sK7,X13)))
| ~ function(X13)
| ~ relation(X13)
| ~ function(X14)
| ~ function(relation_composition(X14,relation_composition(sK7,X13)))
| ~ relation(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_125])]) ).
fof(f1572,plain,
( ! [X14,X13] :
( ~ relation(relation_composition(sK7,X13))
| ~ relation(sK7)
| ~ function(X14)
| ~ relation(X14)
| ~ function(relation_composition(X14,relation_composition(sK7,X13)))
| ~ relation(X13)
| ~ function(X13)
| ~ relation(relation_composition(X14,relation_composition(sK7,X13)))
| one_to_one(relation_composition(X14,relation_composition(sK7,X13)))
| apply(relation_composition(sK7,X13),apply(X14,sK3(relation_composition(X14,relation_composition(sK7,X13))))) = apply(X13,apply(sK7,apply(X14,sK3(relation_composition(X14,relation_composition(sK7,X13)))))) )
| ~ spl13_7 ),
inference(resolution,[],[f656,f175]) ).
fof(f1591,plain,
( ~ spl13_21
| spl13_124
| ~ spl13_20 ),
inference(avatar_split_clause,[],[f1569,f241,f1589,f245]) ).
fof(f1589,plain,
( spl13_124
<=> ! [X7,X8] :
( ~ function(relation_composition(X8,relation_composition(relation_composition(sK7,sK8),X7)))
| ~ relation(relation_composition(relation_composition(sK7,sK8),X7))
| apply(relation_composition(relation_composition(sK7,sK8),X7),apply(X8,sK3(relation_composition(X8,relation_composition(relation_composition(sK7,sK8),X7))))) = apply(X7,apply(relation_composition(sK7,sK8),apply(X8,sK3(relation_composition(X8,relation_composition(relation_composition(sK7,sK8),X7))))))
| ~ function(X8)
| one_to_one(relation_composition(X8,relation_composition(relation_composition(sK7,sK8),X7)))
| ~ relation(X8)
| ~ function(X7)
| ~ relation(relation_composition(X8,relation_composition(relation_composition(sK7,sK8),X7)))
| ~ relation(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_124])]) ).
fof(f1569,plain,
( ! [X8,X7] :
( ~ function(relation_composition(X8,relation_composition(relation_composition(sK7,sK8),X7)))
| ~ relation(X7)
| ~ relation(relation_composition(X8,relation_composition(relation_composition(sK7,sK8),X7)))
| ~ function(X7)
| ~ relation(X8)
| one_to_one(relation_composition(X8,relation_composition(relation_composition(sK7,sK8),X7)))
| ~ function(X8)
| ~ relation(relation_composition(sK7,sK8))
| apply(relation_composition(relation_composition(sK7,sK8),X7),apply(X8,sK3(relation_composition(X8,relation_composition(relation_composition(sK7,sK8),X7))))) = apply(X7,apply(relation_composition(sK7,sK8),apply(X8,sK3(relation_composition(X8,relation_composition(relation_composition(sK7,sK8),X7))))))
| ~ relation(relation_composition(relation_composition(sK7,sK8),X7)) )
| ~ spl13_20 ),
inference(resolution,[],[f656,f242]) ).
fof(f1587,plain,
( ~ spl13_16
| spl13_123
| ~ spl13_6 ),
inference(avatar_split_clause,[],[f1571,f168,f1585,f220]) ).
fof(f1585,plain,
( spl13_123
<=> ! [X12,X11] :
( ~ relation(relation_composition(sK0,X11))
| ~ function(X11)
| ~ relation(X12)
| apply(X11,apply(sK0,apply(X12,sK3(relation_composition(X12,relation_composition(sK0,X11)))))) = apply(relation_composition(sK0,X11),apply(X12,sK3(relation_composition(X12,relation_composition(sK0,X11)))))
| one_to_one(relation_composition(X12,relation_composition(sK0,X11)))
| ~ relation(X11)
| ~ relation(relation_composition(X12,relation_composition(sK0,X11)))
| ~ function(X12)
| ~ function(relation_composition(X12,relation_composition(sK0,X11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_123])]) ).
fof(f1571,plain,
( ! [X11,X12] :
( ~ relation(relation_composition(sK0,X11))
| ~ function(relation_composition(X12,relation_composition(sK0,X11)))
| ~ function(X12)
| ~ relation(sK0)
| ~ relation(relation_composition(X12,relation_composition(sK0,X11)))
| ~ relation(X11)
| one_to_one(relation_composition(X12,relation_composition(sK0,X11)))
| apply(X11,apply(sK0,apply(X12,sK3(relation_composition(X12,relation_composition(sK0,X11)))))) = apply(relation_composition(sK0,X11),apply(X12,sK3(relation_composition(X12,relation_composition(sK0,X11)))))
| ~ relation(X12)
| ~ function(X11) )
| ~ spl13_6 ),
inference(resolution,[],[f656,f170]) ).
fof(f1565,plain,
( ~ spl13_8
| spl13_122
| ~ spl13_11 ),
inference(avatar_split_clause,[],[f1535,f193,f1563,f178]) ).
fof(f1563,plain,
( spl13_122
<=> ! [X16,X15] :
( ~ function(X15)
| ~ function(relation_composition(X16,relation_composition(X15,sK8)))
| ~ relation(relation_composition(X16,relation_composition(X15,sK8)))
| apply(sK8,apply(X15,apply(X16,sK4(relation_composition(X16,relation_composition(X15,sK8)))))) = apply(relation_composition(X15,sK8),apply(X16,sK4(relation_composition(X16,relation_composition(X15,sK8)))))
| ~ function(X16)
| ~ relation(X15)
| ~ relation(X16)
| one_to_one(relation_composition(X16,relation_composition(X15,sK8)))
| ~ relation(relation_composition(X15,sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_122])]) ).
fof(f1535,plain,
( ! [X16,X15] :
( ~ function(X15)
| ~ relation(relation_composition(X15,sK8))
| one_to_one(relation_composition(X16,relation_composition(X15,sK8)))
| ~ relation(sK8)
| ~ relation(X16)
| ~ relation(X15)
| ~ function(X16)
| apply(sK8,apply(X15,apply(X16,sK4(relation_composition(X16,relation_composition(X15,sK8)))))) = apply(relation_composition(X15,sK8),apply(X16,sK4(relation_composition(X16,relation_composition(X15,sK8)))))
| ~ relation(relation_composition(X16,relation_composition(X15,sK8)))
| ~ function(relation_composition(X16,relation_composition(X15,sK8))) )
| ~ spl13_11 ),
inference(resolution,[],[f655,f195]) ).
fof(f655,plain,
! [X2,X0,X1] :
( ~ function(X0)
| apply(X0,apply(X1,apply(X2,sK4(relation_composition(X2,relation_composition(X1,X0)))))) = apply(relation_composition(X1,X0),apply(X2,sK4(relation_composition(X2,relation_composition(X1,X0)))))
| ~ function(X2)
| ~ relation(relation_composition(X2,relation_composition(X1,X0)))
| ~ relation(X0)
| ~ function(X1)
| ~ function(relation_composition(X2,relation_composition(X1,X0)))
| ~ relation(relation_composition(X1,X0))
| ~ relation(X2)
| ~ relation(X1)
| one_to_one(relation_composition(X2,relation_composition(X1,X0))) ),
inference(resolution,[],[f500,f92]) ).
fof(f92,plain,
! [X0] :
( in(sK4(X0),relation_dom(X0))
| ~ relation(X0)
| ~ function(X0)
| one_to_one(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f1561,plain,
( ~ spl13_9
| spl13_121
| ~ spl13_7 ),
inference(avatar_split_clause,[],[f1534,f173,f1559,f183]) ).
fof(f1559,plain,
( spl13_121
<=> ! [X13,X14] :
( one_to_one(relation_composition(X14,relation_composition(X13,sK7)))
| ~ relation(relation_composition(X13,sK7))
| ~ relation(relation_composition(X14,relation_composition(X13,sK7)))
| ~ function(X13)
| ~ relation(X13)
| ~ relation(X14)
| ~ function(X14)
| apply(sK7,apply(X13,apply(X14,sK4(relation_composition(X14,relation_composition(X13,sK7)))))) = apply(relation_composition(X13,sK7),apply(X14,sK4(relation_composition(X14,relation_composition(X13,sK7)))))
| ~ function(relation_composition(X14,relation_composition(X13,sK7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_121])]) ).
fof(f1534,plain,
( ! [X14,X13] :
( one_to_one(relation_composition(X14,relation_composition(X13,sK7)))
| ~ relation(sK7)
| ~ function(relation_composition(X14,relation_composition(X13,sK7)))
| apply(sK7,apply(X13,apply(X14,sK4(relation_composition(X14,relation_composition(X13,sK7)))))) = apply(relation_composition(X13,sK7),apply(X14,sK4(relation_composition(X14,relation_composition(X13,sK7)))))
| ~ function(X14)
| ~ relation(X14)
| ~ relation(X13)
| ~ function(X13)
| ~ relation(relation_composition(X14,relation_composition(X13,sK7)))
| ~ relation(relation_composition(X13,sK7)) )
| ~ spl13_7 ),
inference(resolution,[],[f655,f175]) ).
fof(f1557,plain,
( ~ spl13_21
| spl13_120
| ~ spl13_20 ),
inference(avatar_split_clause,[],[f1531,f241,f1555,f245]) ).
fof(f1555,plain,
( spl13_120
<=> ! [X8,X7] :
( ~ function(X8)
| ~ function(relation_composition(X8,relation_composition(X7,relation_composition(sK7,sK8))))
| ~ function(X7)
| one_to_one(relation_composition(X8,relation_composition(X7,relation_composition(sK7,sK8))))
| apply(relation_composition(sK7,sK8),apply(X7,apply(X8,sK4(relation_composition(X8,relation_composition(X7,relation_composition(sK7,sK8))))))) = apply(relation_composition(X7,relation_composition(sK7,sK8)),apply(X8,sK4(relation_composition(X8,relation_composition(X7,relation_composition(sK7,sK8))))))
| ~ relation(relation_composition(X7,relation_composition(sK7,sK8)))
| ~ relation(X8)
| ~ relation(X7)
| ~ relation(relation_composition(X8,relation_composition(X7,relation_composition(sK7,sK8)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_120])]) ).
fof(f1531,plain,
( ! [X8,X7] :
( ~ function(X8)
| ~ relation(relation_composition(X8,relation_composition(X7,relation_composition(sK7,sK8))))
| ~ relation(X7)
| ~ relation(X8)
| ~ relation(relation_composition(X7,relation_composition(sK7,sK8)))
| apply(relation_composition(sK7,sK8),apply(X7,apply(X8,sK4(relation_composition(X8,relation_composition(X7,relation_composition(sK7,sK8))))))) = apply(relation_composition(X7,relation_composition(sK7,sK8)),apply(X8,sK4(relation_composition(X8,relation_composition(X7,relation_composition(sK7,sK8))))))
| one_to_one(relation_composition(X8,relation_composition(X7,relation_composition(sK7,sK8))))
| ~ function(X7)
| ~ relation(relation_composition(sK7,sK8))
| ~ function(relation_composition(X8,relation_composition(X7,relation_composition(sK7,sK8)))) )
| ~ spl13_20 ),
inference(resolution,[],[f655,f242]) ).
fof(f1553,plain,
( ~ spl13_16
| spl13_119
| ~ spl13_6 ),
inference(avatar_split_clause,[],[f1533,f168,f1551,f220]) ).
fof(f1551,plain,
( spl13_119
<=> ! [X12,X11] :
( ~ relation(relation_composition(X12,relation_composition(X11,sK0)))
| ~ function(relation_composition(X12,relation_composition(X11,sK0)))
| ~ relation(X12)
| ~ function(X12)
| one_to_one(relation_composition(X12,relation_composition(X11,sK0)))
| ~ relation(X11)
| ~ function(X11)
| ~ relation(relation_composition(X11,sK0))
| apply(relation_composition(X11,sK0),apply(X12,sK4(relation_composition(X12,relation_composition(X11,sK0))))) = apply(sK0,apply(X11,apply(X12,sK4(relation_composition(X12,relation_composition(X11,sK0)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_119])]) ).
fof(f1533,plain,
( ! [X11,X12] :
( ~ relation(relation_composition(X12,relation_composition(X11,sK0)))
| ~ relation(sK0)
| apply(relation_composition(X11,sK0),apply(X12,sK4(relation_composition(X12,relation_composition(X11,sK0))))) = apply(sK0,apply(X11,apply(X12,sK4(relation_composition(X12,relation_composition(X11,sK0))))))
| ~ relation(relation_composition(X11,sK0))
| ~ function(X11)
| ~ relation(X11)
| one_to_one(relation_composition(X12,relation_composition(X11,sK0)))
| ~ function(X12)
| ~ relation(X12)
| ~ function(relation_composition(X12,relation_composition(X11,sK0))) )
| ~ spl13_6 ),
inference(resolution,[],[f655,f170]) ).
fof(f1522,plain,
( ~ spl13_21
| spl13_118
| ~ spl13_20 ),
inference(avatar_split_clause,[],[f1491,f241,f1520,f245]) ).
fof(f1520,plain,
( spl13_118
<=> ! [X11,X13,X14,X12] :
( ~ relation(X13)
| ~ relation(relation_composition(X13,X14))
| ~ function(X13)
| ~ relation(X11)
| ~ function(X11)
| ~ relation(X14)
| ~ function(X14)
| ~ function(relation_composition(relation_composition(sK7,sK8),relation_composition(X13,X14)))
| in(apply(relation_composition(sK7,sK8),apply(X11,X12)),relation_dom(X13))
| ~ relation(relation_composition(relation_composition(sK7,sK8),relation_composition(X13,X14)))
| ~ in(X12,relation_dom(relation_composition(X11,relation_composition(relation_composition(sK7,sK8),relation_composition(X13,X14))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_118])]) ).
fof(f1491,plain,
( ! [X11,X14,X12,X13] :
( ~ relation(X13)
| ~ in(X12,relation_dom(relation_composition(X11,relation_composition(relation_composition(sK7,sK8),relation_composition(X13,X14)))))
| ~ relation(relation_composition(relation_composition(sK7,sK8),relation_composition(X13,X14)))
| in(apply(relation_composition(sK7,sK8),apply(X11,X12)),relation_dom(X13))
| ~ function(relation_composition(relation_composition(sK7,sK8),relation_composition(X13,X14)))
| ~ function(X14)
| ~ relation(X14)
| ~ function(X11)
| ~ relation(X11)
| ~ function(X13)
| ~ relation(relation_composition(sK7,sK8))
| ~ relation(relation_composition(X13,X14)) )
| ~ spl13_20 ),
inference(resolution,[],[f654,f242]) ).
fof(f654,plain,
! [X10,X8,X6,X9,X7] :
( ~ function(X6)
| ~ function(X7)
| ~ in(X8,relation_dom(relation_composition(X7,relation_composition(X6,relation_composition(X9,X10)))))
| ~ relation(relation_composition(X6,relation_composition(X9,X10)))
| ~ function(X9)
| in(apply(X6,apply(X7,X8)),relation_dom(X9))
| ~ function(X10)
| ~ relation(X6)
| ~ function(relation_composition(X6,relation_composition(X9,X10)))
| ~ relation(X7)
| ~ relation(X9)
| ~ relation(X10)
| ~ relation(relation_composition(X9,X10)) ),
inference(resolution,[],[f449,f98]) ).
fof(f449,plain,
! [X2,X3,X0,X1] :
( ~ in(X1,relation_dom(relation_composition(X2,relation_composition(X0,X3))))
| in(apply(X2,X1),relation_dom(X0))
| ~ relation(X3)
| ~ function(X3)
| ~ function(X0)
| ~ relation(X0)
| ~ relation(relation_composition(X0,X3))
| ~ relation(X2)
| ~ function(X2) ),
inference(duplicate_literal_removal,[],[f446]) ).
fof(f446,plain,
! [X2,X3,X0,X1] :
( ~ function(X3)
| ~ function(X0)
| ~ function(X0)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X0)
| ~ relation(X3)
| ~ in(X1,relation_dom(relation_composition(X2,relation_composition(X0,X3))))
| ~ relation(X3)
| in(apply(X2,X1),relation_dom(X0))
| ~ function(X3)
| ~ relation(relation_composition(X0,X3))
| ~ relation(X0) ),
inference(resolution,[],[f259,f139]) ).
fof(f259,plain,
! [X2,X3,X0,X1] :
( ~ function(relation_composition(X2,X3))
| ~ function(X2)
| ~ in(X0,relation_dom(relation_composition(X1,relation_composition(X2,X3))))
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X3)
| ~ relation(relation_composition(X2,X3))
| ~ relation(X1)
| ~ function(X3)
| in(apply(X1,X0),relation_dom(X2)) ),
inference(resolution,[],[f98,f99]) ).
fof(f1518,plain,
( ~ spl13_8
| spl13_117
| ~ spl13_11 ),
inference(avatar_split_clause,[],[f1495,f193,f1516,f178]) ).
fof(f1516,plain,
( spl13_117
<=> ! [X29,X27,X28,X30] :
( ~ relation(X29)
| in(apply(sK8,apply(X27,X28)),relation_dom(X29))
| ~ function(X30)
| ~ relation(relation_composition(X29,X30))
| ~ function(relation_composition(sK8,relation_composition(X29,X30)))
| ~ function(X29)
| ~ function(X27)
| ~ relation(X27)
| ~ relation(relation_composition(sK8,relation_composition(X29,X30)))
| ~ in(X28,relation_dom(relation_composition(X27,relation_composition(sK8,relation_composition(X29,X30)))))
| ~ relation(X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_117])]) ).
fof(f1495,plain,
( ! [X28,X29,X27,X30] :
( ~ relation(X29)
| ~ relation(X30)
| ~ in(X28,relation_dom(relation_composition(X27,relation_composition(sK8,relation_composition(X29,X30)))))
| ~ relation(relation_composition(sK8,relation_composition(X29,X30)))
| ~ relation(X27)
| ~ function(X27)
| ~ function(X29)
| ~ function(relation_composition(sK8,relation_composition(X29,X30)))
| ~ relation(relation_composition(X29,X30))
| ~ function(X30)
| in(apply(sK8,apply(X27,X28)),relation_dom(X29))
| ~ relation(sK8) )
| ~ spl13_11 ),
inference(resolution,[],[f654,f195]) ).
fof(f1514,plain,
( ~ spl13_9
| spl13_116
| ~ spl13_7 ),
inference(avatar_split_clause,[],[f1494,f173,f1512,f183]) ).
fof(f1512,plain,
( spl13_116
<=> ! [X24,X23,X25,X26] :
( ~ in(X24,relation_dom(relation_composition(X23,relation_composition(sK7,relation_composition(X25,X26)))))
| ~ relation(relation_composition(sK7,relation_composition(X25,X26)))
| ~ function(relation_composition(sK7,relation_composition(X25,X26)))
| ~ relation(X25)
| ~ relation(X23)
| ~ relation(X26)
| ~ relation(relation_composition(X25,X26))
| ~ function(X23)
| ~ function(X26)
| in(apply(sK7,apply(X23,X24)),relation_dom(X25))
| ~ function(X25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_116])]) ).
fof(f1494,plain,
( ! [X26,X24,X25,X23] :
( ~ in(X24,relation_dom(relation_composition(X23,relation_composition(sK7,relation_composition(X25,X26)))))
| ~ function(X25)
| in(apply(sK7,apply(X23,X24)),relation_dom(X25))
| ~ function(X26)
| ~ function(X23)
| ~ relation(relation_composition(X25,X26))
| ~ relation(X26)
| ~ relation(sK7)
| ~ relation(X23)
| ~ relation(X25)
| ~ function(relation_composition(sK7,relation_composition(X25,X26)))
| ~ relation(relation_composition(sK7,relation_composition(X25,X26))) )
| ~ spl13_7 ),
inference(resolution,[],[f654,f175]) ).
fof(f1510,plain,
( ~ spl13_16
| spl13_115
| ~ spl13_6 ),
inference(avatar_split_clause,[],[f1493,f168,f1508,f220]) ).
fof(f1508,plain,
( spl13_115
<=> ! [X19,X20,X21,X22] :
( ~ relation(X19)
| ~ function(X21)
| ~ relation(X21)
| ~ function(X22)
| ~ relation(X22)
| ~ relation(relation_composition(sK0,relation_composition(X21,X22)))
| ~ function(relation_composition(sK0,relation_composition(X21,X22)))
| in(apply(sK0,apply(X19,X20)),relation_dom(X21))
| ~ relation(relation_composition(X21,X22))
| ~ function(X19)
| ~ in(X20,relation_dom(relation_composition(X19,relation_composition(sK0,relation_composition(X21,X22))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_115])]) ).
fof(f1493,plain,
( ! [X21,X19,X22,X20] :
( ~ relation(X19)
| ~ in(X20,relation_dom(relation_composition(X19,relation_composition(sK0,relation_composition(X21,X22)))))
| ~ function(X19)
| ~ relation(relation_composition(X21,X22))
| in(apply(sK0,apply(X19,X20)),relation_dom(X21))
| ~ function(relation_composition(sK0,relation_composition(X21,X22)))
| ~ relation(relation_composition(sK0,relation_composition(X21,X22)))
| ~ relation(X22)
| ~ function(X22)
| ~ relation(X21)
| ~ relation(sK0)
| ~ function(X21) )
| ~ spl13_6 ),
inference(resolution,[],[f654,f170]) ).
fof(f1476,plain,
( spl13_114
| ~ spl13_21
| ~ spl13_20 ),
inference(avatar_split_clause,[],[f1445,f241,f245,f1474]) ).
fof(f1474,plain,
( spl13_114
<=> ! [X8,X7] :
( ~ relation(relation_composition(X7,relation_composition(relation_composition(sK7,sK8),X8)))
| in(apply(X7,sK3(relation_composition(X7,relation_composition(relation_composition(sK7,sK8),X8)))),relation_dom(relation_composition(sK7,sK8)))
| ~ relation(relation_composition(relation_composition(sK7,sK8),X8))
| ~ function(relation_composition(X7,relation_composition(relation_composition(sK7,sK8),X8)))
| one_to_one(relation_composition(X7,relation_composition(relation_composition(sK7,sK8),X8)))
| ~ relation(X7)
| ~ relation(X8)
| ~ function(X8)
| ~ function(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_114])]) ).
fof(f1445,plain,
( ! [X8,X7] :
( ~ relation(relation_composition(sK7,sK8))
| ~ relation(relation_composition(X7,relation_composition(relation_composition(sK7,sK8),X8)))
| ~ function(X7)
| ~ function(X8)
| ~ relation(X8)
| ~ relation(X7)
| one_to_one(relation_composition(X7,relation_composition(relation_composition(sK7,sK8),X8)))
| ~ function(relation_composition(X7,relation_composition(relation_composition(sK7,sK8),X8)))
| ~ relation(relation_composition(relation_composition(sK7,sK8),X8))
| in(apply(X7,sK3(relation_composition(X7,relation_composition(relation_composition(sK7,sK8),X8)))),relation_dom(relation_composition(sK7,sK8))) )
| ~ spl13_20 ),
inference(resolution,[],[f653,f242]) ).
fof(f653,plain,
! [X3,X4,X5] :
( ~ function(X4)
| one_to_one(relation_composition(X3,relation_composition(X4,X5)))
| ~ relation(X4)
| ~ relation(relation_composition(X4,X5))
| ~ function(X5)
| in(apply(X3,sK3(relation_composition(X3,relation_composition(X4,X5)))),relation_dom(X4))
| ~ relation(X5)
| ~ relation(relation_composition(X3,relation_composition(X4,X5)))
| ~ function(X3)
| ~ function(relation_composition(X3,relation_composition(X4,X5)))
| ~ relation(X3) ),
inference(resolution,[],[f449,f94]) ).
fof(f1472,plain,
( spl13_113
| ~ spl13_9
| ~ spl13_7 ),
inference(avatar_split_clause,[],[f1448,f173,f183,f1470]) ).
fof(f1470,plain,
( spl13_113
<=> ! [X13,X14] :
( ~ relation(relation_composition(X13,relation_composition(sK7,X14)))
| ~ function(X14)
| ~ function(X13)
| ~ relation(X14)
| in(apply(X13,sK3(relation_composition(X13,relation_composition(sK7,X14)))),relation_dom(sK7))
| one_to_one(relation_composition(X13,relation_composition(sK7,X14)))
| ~ relation(X13)
| ~ relation(relation_composition(sK7,X14))
| ~ function(relation_composition(X13,relation_composition(sK7,X14))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_113])]) ).
fof(f1448,plain,
( ! [X14,X13] :
( ~ relation(sK7)
| ~ relation(relation_composition(X13,relation_composition(sK7,X14)))
| ~ function(relation_composition(X13,relation_composition(sK7,X14)))
| ~ relation(relation_composition(sK7,X14))
| ~ relation(X13)
| one_to_one(relation_composition(X13,relation_composition(sK7,X14)))
| in(apply(X13,sK3(relation_composition(X13,relation_composition(sK7,X14)))),relation_dom(sK7))
| ~ relation(X14)
| ~ function(X13)
| ~ function(X14) )
| ~ spl13_7 ),
inference(resolution,[],[f653,f175]) ).
fof(f1457,plain,
( ~ spl13_8
| spl13_112
| ~ spl13_11 ),
inference(avatar_split_clause,[],[f1449,f193,f1455,f178]) ).
fof(f1455,plain,
( spl13_112
<=> ! [X16,X15] :
( ~ relation(X16)
| one_to_one(relation_composition(X15,relation_composition(sK8,X16)))
| in(apply(X15,sK3(relation_composition(X15,relation_composition(sK8,X16)))),relation_dom(sK8))
| ~ function(X16)
| ~ function(X15)
| ~ function(relation_composition(X15,relation_composition(sK8,X16)))
| ~ relation(relation_composition(sK8,X16))
| ~ relation(X15)
| ~ relation(relation_composition(X15,relation_composition(sK8,X16))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_112])]) ).
fof(f1449,plain,
( ! [X16,X15] :
( ~ relation(X16)
| ~ relation(relation_composition(X15,relation_composition(sK8,X16)))
| ~ relation(X15)
| ~ relation(relation_composition(sK8,X16))
| ~ function(relation_composition(X15,relation_composition(sK8,X16)))
| ~ function(X15)
| ~ function(X16)
| ~ relation(sK8)
| in(apply(X15,sK3(relation_composition(X15,relation_composition(sK8,X16)))),relation_dom(sK8))
| one_to_one(relation_composition(X15,relation_composition(sK8,X16))) )
| ~ spl13_11 ),
inference(resolution,[],[f653,f195]) ).
fof(f1453,plain,
( ~ spl13_16
| spl13_111
| ~ spl13_6 ),
inference(avatar_split_clause,[],[f1447,f168,f1451,f220]) ).
fof(f1451,plain,
( spl13_111
<=> ! [X11,X12] :
( in(apply(X11,sK3(relation_composition(X11,relation_composition(sK0,X12)))),relation_dom(sK0))
| ~ function(relation_composition(X11,relation_composition(sK0,X12)))
| ~ function(X11)
| ~ relation(relation_composition(X11,relation_composition(sK0,X12)))
| ~ relation(relation_composition(sK0,X12))
| ~ function(X12)
| ~ relation(X12)
| one_to_one(relation_composition(X11,relation_composition(sK0,X12)))
| ~ relation(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_111])]) ).
fof(f1447,plain,
( ! [X11,X12] :
( in(apply(X11,sK3(relation_composition(X11,relation_composition(sK0,X12)))),relation_dom(sK0))
| ~ relation(X11)
| one_to_one(relation_composition(X11,relation_composition(sK0,X12)))
| ~ relation(X12)
| ~ function(X12)
| ~ relation(relation_composition(sK0,X12))
| ~ relation(relation_composition(X11,relation_composition(sK0,X12)))
| ~ function(X11)
| ~ function(relation_composition(X11,relation_composition(sK0,X12)))
| ~ relation(sK0) )
| ~ spl13_6 ),
inference(resolution,[],[f653,f170]) ).
fof(f1434,plain,
( ~ spl13_16
| spl13_110
| ~ spl13_6 ),
inference(avatar_split_clause,[],[f1410,f168,f1432,f220]) ).
fof(f1432,plain,
( spl13_110
<=> ! [X11,X12] :
( ~ relation(relation_composition(sK0,X12))
| ~ function(X12)
| ~ function(relation_composition(X11,relation_composition(sK0,X12)))
| ~ relation(X11)
| one_to_one(relation_composition(X11,relation_composition(sK0,X12)))
| in(apply(X11,sK4(relation_composition(X11,relation_composition(sK0,X12)))),relation_dom(sK0))
| ~ relation(X12)
| ~ function(X11)
| ~ relation(relation_composition(X11,relation_composition(sK0,X12))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_110])]) ).
fof(f1410,plain,
( ! [X11,X12] :
( ~ relation(relation_composition(sK0,X12))
| ~ function(X11)
| ~ relation(relation_composition(X11,relation_composition(sK0,X12)))
| ~ relation(X12)
| ~ relation(sK0)
| in(apply(X11,sK4(relation_composition(X11,relation_composition(sK0,X12)))),relation_dom(sK0))
| one_to_one(relation_composition(X11,relation_composition(sK0,X12)))
| ~ relation(X11)
| ~ function(relation_composition(X11,relation_composition(sK0,X12)))
| ~ function(X12) )
| ~ spl13_6 ),
inference(resolution,[],[f652,f170]) ).
fof(f652,plain,
! [X2,X0,X1] :
( ~ function(X1)
| ~ relation(relation_composition(X0,relation_composition(X1,X2)))
| ~ function(X0)
| ~ relation(X1)
| one_to_one(relation_composition(X0,relation_composition(X1,X2)))
| ~ function(relation_composition(X0,relation_composition(X1,X2)))
| ~ relation(X2)
| ~ function(X2)
| ~ relation(relation_composition(X1,X2))
| in(apply(X0,sK4(relation_composition(X0,relation_composition(X1,X2)))),relation_dom(X1))
| ~ relation(X0) ),
inference(resolution,[],[f449,f92]) ).
fof(f1424,plain,
( ~ spl13_9
| spl13_109
| ~ spl13_7 ),
inference(avatar_split_clause,[],[f1411,f173,f1422,f183]) ).
fof(f1422,plain,
( spl13_109
<=> ! [X13,X14] :
( one_to_one(relation_composition(X13,relation_composition(sK7,X14)))
| ~ relation(relation_composition(X13,relation_composition(sK7,X14)))
| ~ relation(relation_composition(sK7,X14))
| ~ function(relation_composition(X13,relation_composition(sK7,X14)))
| ~ relation(X14)
| ~ function(X14)
| ~ function(X13)
| in(apply(X13,sK4(relation_composition(X13,relation_composition(sK7,X14)))),relation_dom(sK7))
| ~ relation(X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_109])]) ).
fof(f1411,plain,
( ! [X14,X13] :
( one_to_one(relation_composition(X13,relation_composition(sK7,X14)))
| ~ relation(X13)
| in(apply(X13,sK4(relation_composition(X13,relation_composition(sK7,X14)))),relation_dom(sK7))
| ~ function(X13)
| ~ relation(sK7)
| ~ function(X14)
| ~ relation(X14)
| ~ function(relation_composition(X13,relation_composition(sK7,X14)))
| ~ relation(relation_composition(sK7,X14))
| ~ relation(relation_composition(X13,relation_composition(sK7,X14))) )
| ~ spl13_7 ),
inference(resolution,[],[f652,f175]) ).
fof(f1420,plain,
( ~ spl13_21
| spl13_108
| ~ spl13_20 ),
inference(avatar_split_clause,[],[f1408,f241,f1418,f245]) ).
fof(f1418,plain,
( spl13_108
<=> ! [X8,X7] :
( ~ relation(X8)
| ~ function(X7)
| ~ relation(relation_composition(X7,relation_composition(relation_composition(sK7,sK8),X8)))
| ~ relation(X7)
| one_to_one(relation_composition(X7,relation_composition(relation_composition(sK7,sK8),X8)))
| ~ function(X8)
| ~ function(relation_composition(X7,relation_composition(relation_composition(sK7,sK8),X8)))
| ~ relation(relation_composition(relation_composition(sK7,sK8),X8))
| in(apply(X7,sK4(relation_composition(X7,relation_composition(relation_composition(sK7,sK8),X8)))),relation_dom(relation_composition(sK7,sK8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_108])]) ).
fof(f1408,plain,
( ! [X8,X7] :
( ~ relation(X8)
| in(apply(X7,sK4(relation_composition(X7,relation_composition(relation_composition(sK7,sK8),X8)))),relation_dom(relation_composition(sK7,sK8)))
| ~ relation(relation_composition(relation_composition(sK7,sK8),X8))
| ~ function(relation_composition(X7,relation_composition(relation_composition(sK7,sK8),X8)))
| ~ relation(relation_composition(sK7,sK8))
| ~ function(X8)
| one_to_one(relation_composition(X7,relation_composition(relation_composition(sK7,sK8),X8)))
| ~ relation(X7)
| ~ relation(relation_composition(X7,relation_composition(relation_composition(sK7,sK8),X8)))
| ~ function(X7) )
| ~ spl13_20 ),
inference(resolution,[],[f652,f242]) ).
fof(f1416,plain,
( ~ spl13_8
| spl13_107
| ~ spl13_11 ),
inference(avatar_split_clause,[],[f1412,f193,f1414,f178]) ).
fof(f1414,plain,
( spl13_107
<=> ! [X16,X15] :
( one_to_one(relation_composition(X15,relation_composition(sK8,X16)))
| ~ function(X16)
| ~ relation(X15)
| ~ relation(relation_composition(sK8,X16))
| ~ relation(relation_composition(X15,relation_composition(sK8,X16)))
| ~ function(relation_composition(X15,relation_composition(sK8,X16)))
| ~ relation(X16)
| ~ function(X15)
| in(apply(X15,sK4(relation_composition(X15,relation_composition(sK8,X16)))),relation_dom(sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_107])]) ).
fof(f1412,plain,
( ! [X16,X15] :
( one_to_one(relation_composition(X15,relation_composition(sK8,X16)))
| in(apply(X15,sK4(relation_composition(X15,relation_composition(sK8,X16)))),relation_dom(sK8))
| ~ function(X15)
| ~ relation(X16)
| ~ relation(sK8)
| ~ function(relation_composition(X15,relation_composition(sK8,X16)))
| ~ relation(relation_composition(X15,relation_composition(sK8,X16)))
| ~ relation(relation_composition(sK8,X16))
| ~ relation(X15)
| ~ function(X16) )
| ~ spl13_11 ),
inference(resolution,[],[f652,f195]) ).
fof(f1405,plain,
( ~ spl13_21
| spl13_106
| ~ spl13_20 ),
inference(avatar_split_clause,[],[f1382,f241,f1403,f245]) ).
fof(f1382,plain,
( ! [X5] :
( ~ relation(X5)
| ~ relation(relation_composition(sK7,sK8))
| one_to_one(relation_composition(relation_composition(sK7,sK8),X5))
| ~ function(X5)
| in(sK3(relation_composition(relation_composition(sK7,sK8),X5)),relation_dom(relation_composition(sK7,sK8))) )
| ~ spl13_20 ),
inference(resolution,[],[f640,f242]) ).
fof(f640,plain,
! [X0,X1] :
( ~ function(X0)
| one_to_one(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1)
| ~ function(X1)
| in(sK3(relation_composition(X0,X1)),relation_dom(X0)) ),
inference(duplicate_literal_removal,[],[f635]) ).
fof(f635,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ function(X0)
| ~ function(X1)
| ~ function(X0)
| ~ relation(X0)
| one_to_one(relation_composition(X0,X1))
| ~ relation(X0)
| in(sK3(relation_composition(X0,X1)),relation_dom(X0))
| ~ relation(X1)
| ~ function(X1) ),
inference(resolution,[],[f422,f138]) ).
fof(f138,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0)
| ~ function(X0)
| ~ function(X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f422,plain,
! [X0,X1] :
( ~ relation(relation_composition(X1,X0))
| in(sK3(relation_composition(X1,X0)),relation_dom(X1))
| ~ function(X1)
| ~ relation(X0)
| one_to_one(relation_composition(X1,X0))
| ~ function(X0)
| ~ relation(X1) ),
inference(duplicate_literal_removal,[],[f419]) ).
fof(f419,plain,
! [X0,X1] :
( ~ function(X0)
| ~ relation(X1)
| ~ relation(X0)
| ~ function(X1)
| ~ function(X0)
| ~ function(X1)
| ~ relation(X0)
| ~ relation(X1)
| in(sK3(relation_composition(X1,X0)),relation_dom(X1))
| ~ relation(relation_composition(X1,X0))
| one_to_one(relation_composition(X1,X0)) ),
inference(resolution,[],[f258,f139]) ).
fof(f258,plain,
! [X2,X3] :
( ~ function(relation_composition(X3,X2))
| ~ function(X2)
| one_to_one(relation_composition(X3,X2))
| ~ relation(relation_composition(X3,X2))
| ~ relation(X3)
| ~ relation(X2)
| ~ function(X3)
| in(sK3(relation_composition(X3,X2)),relation_dom(X3)) ),
inference(resolution,[],[f99,f94]) ).
fof(f1401,plain,
( ~ spl13_16
| spl13_105
| ~ spl13_6 ),
inference(avatar_split_clause,[],[f1384,f168,f1399,f220]) ).
fof(f1399,plain,
( spl13_105
<=> ! [X7] :
( ~ function(X7)
| in(sK3(relation_composition(sK0,X7)),relation_dom(sK0))
| ~ relation(X7)
| one_to_one(relation_composition(sK0,X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_105])]) ).
fof(f1384,plain,
( ! [X7] :
( ~ function(X7)
| one_to_one(relation_composition(sK0,X7))
| ~ relation(X7)
| in(sK3(relation_composition(sK0,X7)),relation_dom(sK0))
| ~ relation(sK0) )
| ~ spl13_6 ),
inference(resolution,[],[f640,f170]) ).
fof(f1395,plain,
( spl13_104
| ~ spl13_8
| ~ spl13_11 ),
inference(avatar_split_clause,[],[f1386,f193,f178,f1393]) ).
fof(f1393,plain,
( spl13_104
<=> ! [X9] :
( in(sK3(relation_composition(sK8,X9)),relation_dom(sK8))
| ~ relation(X9)
| ~ function(X9)
| one_to_one(relation_composition(sK8,X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_104])]) ).
fof(f1386,plain,
( ! [X9] :
( ~ relation(sK8)
| in(sK3(relation_composition(sK8,X9)),relation_dom(sK8))
| one_to_one(relation_composition(sK8,X9))
| ~ function(X9)
| ~ relation(X9) )
| ~ spl13_11 ),
inference(resolution,[],[f640,f195]) ).
fof(f1390,plain,
( ~ spl13_9
| spl13_103
| ~ spl13_7 ),
inference(avatar_split_clause,[],[f1385,f173,f1388,f183]) ).
fof(f1388,plain,
( spl13_103
<=> ! [X8] :
( ~ function(X8)
| ~ relation(X8)
| one_to_one(relation_composition(sK7,X8))
| in(sK3(relation_composition(sK7,X8)),relation_dom(sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_103])]) ).
fof(f1385,plain,
( ! [X8] :
( ~ function(X8)
| in(sK3(relation_composition(sK7,X8)),relation_dom(sK7))
| ~ relation(sK7)
| one_to_one(relation_composition(sK7,X8))
| ~ relation(X8) )
| ~ spl13_7 ),
inference(resolution,[],[f640,f175]) ).
fof(f1376,plain,
( ~ spl13_16
| spl13_102
| ~ spl13_6 ),
inference(avatar_split_clause,[],[f1353,f168,f1374,f220]) ).
fof(f1374,plain,
( spl13_102
<=> ! [X7] :
( ~ relation(X7)
| one_to_one(relation_composition(sK0,X7))
| in(sK4(relation_composition(sK0,X7)),relation_dom(sK0))
| ~ function(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_102])]) ).
fof(f1353,plain,
( ! [X7] :
( ~ relation(X7)
| ~ function(X7)
| in(sK4(relation_composition(sK0,X7)),relation_dom(sK0))
| ~ relation(sK0)
| one_to_one(relation_composition(sK0,X7)) )
| ~ spl13_6 ),
inference(resolution,[],[f634,f170]) ).
fof(f634,plain,
! [X2,X3] :
( ~ function(X2)
| ~ function(X3)
| ~ relation(X3)
| in(sK4(relation_composition(X2,X3)),relation_dom(X2))
| one_to_one(relation_composition(X2,X3))
| ~ relation(X2) ),
inference(duplicate_literal_removal,[],[f630]) ).
fof(f630,plain,
! [X2,X3] :
( one_to_one(relation_composition(X2,X3))
| ~ function(X2)
| ~ relation(X3)
| ~ relation(X3)
| ~ relation(X2)
| in(sK4(relation_composition(X2,X3)),relation_dom(X2))
| ~ relation(X2)
| ~ function(X3) ),
inference(resolution,[],[f416,f129]) ).
fof(f129,plain,
! [X0,X1] :
( relation(relation_composition(X1,X0))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X1,X0] :
( ~ relation(X0)
| ~ relation(X1)
| relation(relation_composition(X1,X0)) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X1,X0] :
( relation(relation_composition(X1,X0))
| ~ relation(X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X1,X0] :
( ( relation(X0)
& relation(X1) )
=> relation(relation_composition(X1,X0)) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ( relation(X1)
& relation(X0) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f416,plain,
! [X0,X1] :
( ~ relation(relation_composition(X1,X0))
| ~ function(X1)
| ~ relation(X0)
| in(sK4(relation_composition(X1,X0)),relation_dom(X1))
| ~ relation(X1)
| ~ function(X0)
| one_to_one(relation_composition(X1,X0)) ),
inference(duplicate_literal_removal,[],[f413]) ).
fof(f413,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ relation(X0)
| ~ function(X0)
| ~ function(X1)
| ~ relation(X1)
| ~ function(X1)
| in(sK4(relation_composition(X1,X0)),relation_dom(X1))
| ~ relation(relation_composition(X1,X0))
| one_to_one(relation_composition(X1,X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(resolution,[],[f257,f139]) ).
fof(f257,plain,
! [X0,X1] :
( ~ function(relation_composition(X1,X0))
| ~ relation(X0)
| ~ relation(X1)
| ~ function(X1)
| in(sK4(relation_composition(X1,X0)),relation_dom(X1))
| one_to_one(relation_composition(X1,X0))
| ~ function(X0)
| ~ relation(relation_composition(X1,X0)) ),
inference(resolution,[],[f99,f92]) ).
fof(f1372,plain,
( ~ spl13_21
| spl13_101
| ~ spl13_20 ),
inference(avatar_split_clause,[],[f1351,f241,f1370,f245]) ).
fof(f1351,plain,
( ! [X5] :
( in(sK4(relation_composition(relation_composition(sK7,sK8),X5)),relation_dom(relation_composition(sK7,sK8)))
| ~ relation(X5)
| ~ relation(relation_composition(sK7,sK8))
| ~ function(X5)
| one_to_one(relation_composition(relation_composition(sK7,sK8),X5)) )
| ~ spl13_20 ),
inference(resolution,[],[f634,f242]) ).
fof(f1368,plain,
( ~ spl13_8
| spl13_100
| ~ spl13_11 ),
inference(avatar_split_clause,[],[f1355,f193,f1366,f178]) ).
fof(f1366,plain,
( spl13_100
<=> ! [X9] :
( ~ function(X9)
| ~ relation(X9)
| in(sK4(relation_composition(sK8,X9)),relation_dom(sK8))
| one_to_one(relation_composition(sK8,X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_100])]) ).
fof(f1355,plain,
( ! [X9] :
( ~ function(X9)
| one_to_one(relation_composition(sK8,X9))
| ~ relation(sK8)
| in(sK4(relation_composition(sK8,X9)),relation_dom(sK8))
| ~ relation(X9) )
| ~ spl13_11 ),
inference(resolution,[],[f634,f195]) ).
fof(f1364,plain,
( ~ spl13_9
| spl13_99
| ~ spl13_7 ),
inference(avatar_split_clause,[],[f1354,f173,f1362,f183]) ).
fof(f1362,plain,
( spl13_99
<=> ! [X8] :
( one_to_one(relation_composition(sK7,X8))
| in(sK4(relation_composition(sK7,X8)),relation_dom(sK7))
| ~ relation(X8)
| ~ function(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_99])]) ).
fof(f1354,plain,
( ! [X8] :
( one_to_one(relation_composition(sK7,X8))
| ~ function(X8)
| ~ relation(sK7)
| ~ relation(X8)
| in(sK4(relation_composition(sK7,X8)),relation_dom(sK7)) )
| ~ spl13_7 ),
inference(resolution,[],[f634,f175]) ).
fof(f1347,plain,
( ~ spl13_20
| ~ spl13_21
| spl13_98
| ~ spl13_50 ),
inference(avatar_split_clause,[],[f1336,f502,f1345,f245,f241]) ).
fof(f1345,plain,
( spl13_98
<=> ! [X2,X0,X1] :
( apply(relation_composition(sK7,sK8),apply(X0,apply(X1,X2))) = apply(sK8,apply(sK7,apply(X0,apply(X1,X2))))
| ~ in(X2,relation_dom(relation_composition(X1,relation_composition(X0,relation_composition(sK7,sK8)))))
| ~ function(X0)
| ~ relation(relation_composition(X0,relation_composition(sK7,sK8)))
| ~ relation(X0)
| ~ function(X1)
| ~ relation(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_98])]) ).
fof(f502,plain,
( spl13_50
<=> ! [X4,X5] :
( ~ in(X4,relation_dom(relation_composition(X5,relation_composition(sK7,sK8))))
| apply(sK8,apply(sK7,apply(X5,X4))) = apply(relation_composition(sK7,sK8),apply(X5,X4))
| ~ function(X5)
| ~ relation(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_50])]) ).
fof(f1336,plain,
( ! [X2,X0,X1] :
( apply(relation_composition(sK7,sK8),apply(X0,apply(X1,X2))) = apply(sK8,apply(sK7,apply(X0,apply(X1,X2))))
| ~ relation(X1)
| ~ function(X1)
| ~ relation(relation_composition(sK7,sK8))
| ~ function(relation_composition(sK7,sK8))
| ~ relation(X0)
| ~ relation(relation_composition(X0,relation_composition(sK7,sK8)))
| ~ function(X0)
| ~ in(X2,relation_dom(relation_composition(X1,relation_composition(X0,relation_composition(sK7,sK8))))) )
| ~ spl13_50 ),
inference(duplicate_literal_removal,[],[f1333]) ).
fof(f1333,plain,
( ! [X2,X0,X1] :
( ~ function(relation_composition(sK7,sK8))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ relation(X0)
| apply(relation_composition(sK7,sK8),apply(X0,apply(X1,X2))) = apply(sK8,apply(sK7,apply(X0,apply(X1,X2))))
| ~ relation(relation_composition(X0,relation_composition(sK7,sK8)))
| ~ in(X2,relation_dom(relation_composition(X1,relation_composition(X0,relation_composition(sK7,sK8)))))
| ~ function(X1)
| ~ relation(relation_composition(sK7,sK8))
| ~ function(X0) )
| ~ spl13_50 ),
inference(resolution,[],[f570,f139]) ).
fof(f570,plain,
( ! [X2,X3,X4] :
( ~ function(relation_composition(X2,relation_composition(sK7,sK8)))
| ~ relation(relation_composition(X2,relation_composition(sK7,sK8)))
| ~ function(X3)
| ~ in(X4,relation_dom(relation_composition(X3,relation_composition(X2,relation_composition(sK7,sK8)))))
| ~ relation(X2)
| apply(sK8,apply(sK7,apply(X2,apply(X3,X4)))) = apply(relation_composition(sK7,sK8),apply(X2,apply(X3,X4)))
| ~ relation(X3)
| ~ function(X2) )
| ~ spl13_50 ),
inference(resolution,[],[f503,f98]) ).
fof(f503,plain,
( ! [X4,X5] :
( ~ in(X4,relation_dom(relation_composition(X5,relation_composition(sK7,sK8))))
| ~ function(X5)
| ~ relation(X5)
| apply(sK8,apply(sK7,apply(X5,X4))) = apply(relation_composition(sK7,sK8),apply(X5,X4)) )
| ~ spl13_50 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f1259,plain,
( ~ spl13_21
| ~ spl13_20
| spl13_97
| ~ spl13_45 ),
inference(avatar_split_clause,[],[f1249,f457,f1257,f241,f245]) ).
fof(f1257,plain,
( spl13_97
<=> ! [X2,X0,X1] :
( ~ function(X1)
| ~ relation(relation_composition(X0,relation_composition(sK7,sK8)))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| in(apply(X0,apply(X1,X2)),relation_dom(sK7))
| ~ in(X2,relation_dom(relation_composition(X1,relation_composition(X0,relation_composition(sK7,sK8))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_97])]) ).
fof(f1249,plain,
( ! [X2,X0,X1] :
( ~ function(X1)
| ~ in(X2,relation_dom(relation_composition(X1,relation_composition(X0,relation_composition(sK7,sK8)))))
| in(apply(X0,apply(X1,X2)),relation_dom(sK7))
| ~ relation(X1)
| ~ function(relation_composition(sK7,sK8))
| ~ function(X0)
| ~ relation(relation_composition(sK7,sK8))
| ~ relation(X0)
| ~ relation(relation_composition(X0,relation_composition(sK7,sK8))) )
| ~ spl13_45 ),
inference(duplicate_literal_removal,[],[f1246]) ).
fof(f1246,plain,
( ! [X2,X0,X1] :
( ~ relation(X1)
| in(apply(X0,apply(X1,X2)),relation_dom(sK7))
| ~ relation(relation_composition(X0,relation_composition(sK7,sK8)))
| ~ function(X1)
| ~ in(X2,relation_dom(relation_composition(X1,relation_composition(X0,relation_composition(sK7,sK8)))))
| ~ relation(X0)
| ~ function(relation_composition(sK7,sK8))
| ~ function(X0)
| ~ function(X0)
| ~ relation(X0)
| ~ relation(relation_composition(sK7,sK8)) )
| ~ spl13_45 ),
inference(resolution,[],[f535,f139]) ).
fof(f535,plain,
( ! [X2,X3,X4] :
( ~ function(relation_composition(X2,relation_composition(sK7,sK8)))
| ~ relation(relation_composition(X2,relation_composition(sK7,sK8)))
| in(apply(X2,apply(X3,X4)),relation_dom(sK7))
| ~ function(X3)
| ~ in(X4,relation_dom(relation_composition(X3,relation_composition(X2,relation_composition(sK7,sK8)))))
| ~ relation(X2)
| ~ relation(X3)
| ~ function(X2) )
| ~ spl13_45 ),
inference(resolution,[],[f458,f98]) ).
fof(f1244,plain,
( ~ spl13_21
| ~ spl13_20
| spl13_96
| ~ spl13_45 ),
inference(avatar_split_clause,[],[f1240,f457,f1242,f241,f245]) ).
fof(f1242,plain,
( spl13_96
<=> ! [X0] :
( ~ relation(relation_composition(X0,relation_composition(sK7,sK8)))
| ~ function(X0)
| one_to_one(relation_composition(X0,relation_composition(sK7,sK8)))
| ~ relation(X0)
| in(apply(X0,sK3(relation_composition(X0,relation_composition(sK7,sK8)))),relation_dom(sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_96])]) ).
fof(f1240,plain,
( ! [X0] :
( ~ relation(relation_composition(X0,relation_composition(sK7,sK8)))
| in(apply(X0,sK3(relation_composition(X0,relation_composition(sK7,sK8)))),relation_dom(sK7))
| ~ function(relation_composition(sK7,sK8))
| ~ relation(X0)
| ~ relation(relation_composition(sK7,sK8))
| one_to_one(relation_composition(X0,relation_composition(sK7,sK8)))
| ~ function(X0) )
| ~ spl13_45 ),
inference(duplicate_literal_removal,[],[f1236]) ).
fof(f1236,plain,
( ! [X0] :
( ~ function(relation_composition(sK7,sK8))
| ~ relation(X0)
| ~ relation(X0)
| one_to_one(relation_composition(X0,relation_composition(sK7,sK8)))
| ~ relation(relation_composition(X0,relation_composition(sK7,sK8)))
| in(apply(X0,sK3(relation_composition(X0,relation_composition(sK7,sK8)))),relation_dom(sK7))
| ~ function(X0)
| ~ function(X0)
| ~ relation(relation_composition(sK7,sK8)) )
| ~ spl13_45 ),
inference(resolution,[],[f534,f139]) ).
fof(f534,plain,
( ! [X1] :
( ~ function(relation_composition(X1,relation_composition(sK7,sK8)))
| ~ relation(relation_composition(X1,relation_composition(sK7,sK8)))
| ~ function(X1)
| one_to_one(relation_composition(X1,relation_composition(sK7,sK8)))
| ~ relation(X1)
| in(apply(X1,sK3(relation_composition(X1,relation_composition(sK7,sK8)))),relation_dom(sK7)) )
| ~ spl13_45 ),
inference(resolution,[],[f458,f94]) ).
fof(f1172,plain,
( ~ spl13_21
| spl13_95
| ~ spl13_20
| ~ spl13_45 ),
inference(avatar_split_clause,[],[f1168,f457,f241,f1170,f245]) ).
fof(f1170,plain,
( spl13_95
<=> ! [X0] :
( in(apply(X0,sK4(relation_composition(X0,relation_composition(sK7,sK8)))),relation_dom(sK7))
| ~ function(X0)
| ~ relation(X0)
| ~ relation(relation_composition(X0,relation_composition(sK7,sK8)))
| one_to_one(relation_composition(X0,relation_composition(sK7,sK8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_95])]) ).
fof(f1168,plain,
( ! [X0] :
( ~ function(relation_composition(sK7,sK8))
| in(apply(X0,sK4(relation_composition(X0,relation_composition(sK7,sK8)))),relation_dom(sK7))
| one_to_one(relation_composition(X0,relation_composition(sK7,sK8)))
| ~ relation(relation_composition(sK7,sK8))
| ~ relation(relation_composition(X0,relation_composition(sK7,sK8)))
| ~ relation(X0)
| ~ function(X0) )
| ~ spl13_45 ),
inference(duplicate_literal_removal,[],[f1164]) ).
fof(f1164,plain,
( ! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ~ relation(X0)
| ~ function(relation_composition(sK7,sK8))
| in(apply(X0,sK4(relation_composition(X0,relation_composition(sK7,sK8)))),relation_dom(sK7))
| one_to_one(relation_composition(X0,relation_composition(sK7,sK8)))
| ~ relation(relation_composition(X0,relation_composition(sK7,sK8)))
| ~ function(X0)
| ~ relation(relation_composition(sK7,sK8)) )
| ~ spl13_45 ),
inference(resolution,[],[f533,f139]) ).
fof(f533,plain,
( ! [X0] :
( ~ function(relation_composition(X0,relation_composition(sK7,sK8)))
| ~ function(X0)
| ~ relation(X0)
| in(apply(X0,sK4(relation_composition(X0,relation_composition(sK7,sK8)))),relation_dom(sK7))
| one_to_one(relation_composition(X0,relation_composition(sK7,sK8)))
| ~ relation(relation_composition(X0,relation_composition(sK7,sK8))) )
| ~ spl13_45 ),
inference(resolution,[],[f458,f92]) ).
fof(f1063,plain,
( ~ spl13_9
| ~ spl13_7
| spl13_94
| ~ spl13_55
| ~ spl13_86 ),
inference(avatar_split_clause,[],[f1058,f925,f529,f1061,f173,f183]) ).
fof(f1061,plain,
( spl13_94
<=> ! [X0] :
( ~ relation(X0)
| in(apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8)))),relation_dom(X0))
| ~ relation(relation_composition(sK8,X0))
| ~ in(sK3(relation_composition(sK7,sK8)),relation_dom(relation_composition(sK7,relation_composition(sK8,X0))))
| ~ function(X0)
| ~ function(relation_composition(sK8,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_94])]) ).
fof(f529,plain,
( spl13_55
<=> ! [X3] :
( ~ in(apply(sK7,sK4(relation_composition(sK7,sK8))),relation_dom(relation_composition(sK8,X3)))
| in(apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8)))),relation_dom(X3))
| ~ relation(X3)
| ~ function(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_55])]) ).
fof(f925,plain,
( spl13_86
<=> apply(sK7,sK4(relation_composition(sK7,sK8))) = apply(sK7,sK3(relation_composition(sK7,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_86])]) ).
fof(f1058,plain,
( ! [X0] :
( ~ relation(X0)
| ~ function(relation_composition(sK8,X0))
| ~ function(sK7)
| ~ function(X0)
| ~ in(sK3(relation_composition(sK7,sK8)),relation_dom(relation_composition(sK7,relation_composition(sK8,X0))))
| ~ relation(relation_composition(sK8,X0))
| ~ relation(sK7)
| in(apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8)))),relation_dom(X0)) )
| ~ spl13_55
| ~ spl13_86 ),
inference(resolution,[],[f1010,f98]) ).
fof(f1010,plain,
( ! [X3] :
( ~ in(apply(sK7,sK3(relation_composition(sK7,sK8))),relation_dom(relation_composition(sK8,X3)))
| in(apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8)))),relation_dom(X3))
| ~ relation(X3)
| ~ function(X3) )
| ~ spl13_55
| ~ spl13_86 ),
inference(backward_demodulation,[],[f530,f927]) ).
fof(f927,plain,
( apply(sK7,sK4(relation_composition(sK7,sK8))) = apply(sK7,sK3(relation_composition(sK7,sK8)))
| ~ spl13_86 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f530,plain,
( ! [X3] :
( ~ function(X3)
| ~ in(apply(sK7,sK4(relation_composition(sK7,sK8))),relation_dom(relation_composition(sK8,X3)))
| ~ relation(X3)
| in(apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8)))),relation_dom(X3)) )
| ~ spl13_55 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f1051,plain,
( ~ spl13_9
| spl13_93
| ~ spl13_7
| ~ spl13_59 ),
inference(avatar_split_clause,[],[f1045,f565,f173,f1049,f183]) ).
fof(f1049,plain,
( spl13_93
<=> ! [X0] :
( ~ function(relation_composition(sK8,X0))
| ~ function(X0)
| ~ relation(X0)
| in(sK4(relation_composition(sK7,sK8)),relation_dom(relation_composition(relation_composition(sK7,sK8),X0)))
| ~ in(sK3(relation_composition(sK7,sK8)),relation_dom(relation_composition(sK7,relation_composition(sK8,X0))))
| ~ relation(relation_composition(sK8,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_93])]) ).
fof(f565,plain,
( spl13_59
<=> ! [X0] :
( in(sK4(relation_composition(sK7,sK8)),relation_dom(relation_composition(relation_composition(sK7,sK8),X0)))
| ~ function(X0)
| ~ in(apply(sK7,sK3(relation_composition(sK7,sK8))),relation_dom(relation_composition(sK8,X0)))
| ~ relation(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_59])]) ).
fof(f1045,plain,
( ! [X0] :
( ~ function(sK7)
| ~ function(relation_composition(sK8,X0))
| ~ relation(relation_composition(sK8,X0))
| ~ in(sK3(relation_composition(sK7,sK8)),relation_dom(relation_composition(sK7,relation_composition(sK8,X0))))
| in(sK4(relation_composition(sK7,sK8)),relation_dom(relation_composition(relation_composition(sK7,sK8),X0)))
| ~ relation(sK7)
| ~ relation(X0)
| ~ function(X0) )
| ~ spl13_59 ),
inference(resolution,[],[f566,f98]) ).
fof(f566,plain,
( ! [X0] :
( ~ in(apply(sK7,sK3(relation_composition(sK7,sK8))),relation_dom(relation_composition(sK8,X0)))
| in(sK4(relation_composition(sK7,sK8)),relation_dom(relation_composition(relation_composition(sK7,sK8),X0)))
| ~ relation(X0)
| ~ function(X0) )
| ~ spl13_59 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f1044,plain,
( ~ spl13_9
| ~ spl13_7
| ~ spl13_31
| spl13_92
| ~ spl13_86 ),
inference(avatar_split_clause,[],[f1024,f925,f1042,f350,f173,f183]) ).
fof(f350,plain,
( spl13_31
<=> in(sK4(relation_composition(sK7,sK8)),relation_dom(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_31])]) ).
fof(f1042,plain,
( spl13_92
<=> ! [X1] :
( ~ relation(X1)
| in(sK4(relation_composition(sK7,sK8)),relation_dom(relation_composition(sK7,X1)))
| ~ in(apply(sK7,sK3(relation_composition(sK7,sK8))),relation_dom(X1))
| ~ function(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_92])]) ).
fof(f1024,plain,
( ! [X1] :
( ~ relation(X1)
| ~ in(sK4(relation_composition(sK7,sK8)),relation_dom(sK7))
| ~ function(sK7)
| ~ function(X1)
| ~ relation(sK7)
| ~ in(apply(sK7,sK3(relation_composition(sK7,sK8))),relation_dom(X1))
| in(sK4(relation_composition(sK7,sK8)),relation_dom(relation_composition(sK7,X1))) )
| ~ spl13_86 ),
inference(superposition,[],[f97,f927]) ).
fof(f1040,plain,
( ~ spl13_9
| ~ spl13_7
| spl13_91
| ~ spl13_86 ),
inference(avatar_split_clause,[],[f1027,f925,f1038,f173,f183]) ).
fof(f1038,plain,
( spl13_91
<=> ! [X4] :
( ~ in(sK4(relation_composition(sK7,sK8)),relation_dom(relation_composition(sK7,X4)))
| in(apply(sK7,sK3(relation_composition(sK7,sK8))),relation_dom(X4))
| ~ relation(X4)
| ~ function(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_91])]) ).
fof(f1027,plain,
( ! [X4] :
( ~ in(sK4(relation_composition(sK7,sK8)),relation_dom(relation_composition(sK7,X4)))
| ~ function(sK7)
| ~ relation(sK7)
| ~ function(X4)
| ~ relation(X4)
| in(apply(sK7,sK3(relation_composition(sK7,sK8))),relation_dom(X4)) )
| ~ spl13_86 ),
inference(superposition,[],[f98,f927]) ).
fof(f1036,plain,
( ~ spl13_7
| ~ spl13_9
| spl13_90
| ~ spl13_86 ),
inference(avatar_split_clause,[],[f1023,f925,f1034,f183,f173]) ).
fof(f1034,plain,
( spl13_90
<=> ! [X0] :
( ~ in(sK4(relation_composition(sK7,sK8)),relation_dom(relation_composition(sK7,X0)))
| ~ relation(X0)
| ~ function(X0)
| ~ in(relation_dom(X0),apply(sK7,sK3(relation_composition(sK7,sK8)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_90])]) ).
fof(f1023,plain,
( ! [X0] :
( ~ in(sK4(relation_composition(sK7,sK8)),relation_dom(relation_composition(sK7,X0)))
| ~ relation(sK7)
| ~ in(relation_dom(X0),apply(sK7,sK3(relation_composition(sK7,sK8))))
| ~ function(X0)
| ~ function(sK7)
| ~ relation(X0) )
| ~ spl13_86 ),
inference(superposition,[],[f339,f927]) ).
fof(f339,plain,
! [X2,X3,X4] :
( ~ in(relation_dom(X2),apply(X3,X4))
| ~ in(X4,relation_dom(relation_composition(X3,X2)))
| ~ relation(X2)
| ~ function(X2)
| ~ function(X3)
| ~ relation(X3) ),
inference(resolution,[],[f124,f98]) ).
fof(f124,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X1,X0] :
( ~ in(X0,X1)
| ~ in(X1,X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( in(X1,X0)
=> ~ in(X0,X1) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f1032,plain,
( ~ spl13_7
| ~ spl13_31
| ~ spl13_12
| ~ spl13_9
| spl13_89
| ~ spl13_86 ),
inference(avatar_split_clause,[],[f1026,f925,f1029,f183,f198,f350,f173]) ).
fof(f198,plain,
( spl13_12
<=> one_to_one(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_12])]) ).
fof(f1026,plain,
( ! [X3] :
( apply(sK7,sK3(relation_composition(sK7,sK8))) != apply(sK7,X3)
| ~ in(X3,relation_dom(sK7))
| ~ relation(sK7)
| ~ one_to_one(sK7)
| sK4(relation_composition(sK7,sK8)) = X3
| ~ in(sK4(relation_composition(sK7,sK8)),relation_dom(sK7))
| ~ function(sK7) )
| ~ spl13_86 ),
inference(superposition,[],[f96,f927]) ).
fof(f96,plain,
! [X2,X0,X1] :
( apply(X0,X1) != apply(X0,X2)
| ~ relation(X0)
| ~ in(X1,relation_dom(X0))
| ~ function(X0)
| ~ one_to_one(X0)
| ~ in(X2,relation_dom(X0))
| X1 = X2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f1031,plain,
( ~ spl13_9
| ~ spl13_7
| ~ spl13_12
| ~ spl13_31
| spl13_89
| ~ spl13_86 ),
inference(avatar_split_clause,[],[f1025,f925,f1029,f350,f198,f173,f183]) ).
fof(f1025,plain,
( ! [X2] :
( apply(sK7,X2) != apply(sK7,sK3(relation_composition(sK7,sK8)))
| ~ in(sK4(relation_composition(sK7,sK8)),relation_dom(sK7))
| sK4(relation_composition(sK7,sK8)) = X2
| ~ in(X2,relation_dom(sK7))
| ~ one_to_one(sK7)
| ~ function(sK7)
| ~ relation(sK7) )
| ~ spl13_86 ),
inference(superposition,[],[f96,f927]) ).
fof(f1018,plain,
( ~ spl13_88
| spl13_56
| ~ spl13_86 ),
inference(avatar_split_clause,[],[f1011,f925,f542,f1015]) ).
fof(f1015,plain,
( spl13_88
<=> in(relation_dom(sK8),apply(sK7,sK3(relation_composition(sK7,sK8)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_88])]) ).
fof(f542,plain,
( spl13_56
<=> in(relation_dom(sK8),apply(sK7,sK4(relation_composition(sK7,sK8)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_56])]) ).
fof(f1011,plain,
( ~ in(relation_dom(sK8),apply(sK7,sK3(relation_composition(sK7,sK8))))
| spl13_56
| ~ spl13_86 ),
inference(backward_demodulation,[],[f544,f927]) ).
fof(f544,plain,
( ~ in(relation_dom(sK8),apply(sK7,sK4(relation_composition(sK7,sK8))))
| spl13_56 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f1006,plain,
( ~ spl13_8
| ~ spl13_7
| ~ spl13_38
| ~ spl13_11
| ~ spl13_9
| spl13_85 ),
inference(avatar_split_clause,[],[f1005,f921,f183,f193,f402,f173,f178]) ).
fof(f402,plain,
( spl13_38
<=> in(sK3(relation_composition(sK7,sK8)),relation_dom(relation_composition(sK7,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_38])]) ).
fof(f921,plain,
( spl13_85
<=> in(apply(sK7,sK3(relation_composition(sK7,sK8))),relation_dom(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_85])]) ).
fof(f1005,plain,
( ~ relation(sK7)
| ~ function(sK8)
| ~ in(sK3(relation_composition(sK7,sK8)),relation_dom(relation_composition(sK7,sK8)))
| ~ function(sK7)
| ~ relation(sK8)
| spl13_85 ),
inference(resolution,[],[f923,f98]) ).
fof(f923,plain,
( ~ in(apply(sK7,sK3(relation_composition(sK7,sK8))),relation_dom(sK8))
| spl13_85 ),
inference(avatar_component_clause,[],[f921]) ).
fof(f936,plain,
( ~ spl13_8
| ~ spl13_11
| spl13_87
| ~ spl13_53 ),
inference(avatar_split_clause,[],[f932,f521,f934,f193,f178]) ).
fof(f934,plain,
( spl13_87
<=> ! [X0] :
( in(apply(sK7,sK4(relation_composition(sK7,sK8))),relation_dom(relation_composition(sK8,X0)))
| ~ function(X0)
| ~ in(apply(sK7,sK3(relation_composition(sK7,sK8))),relation_dom(relation_composition(sK8,X0)))
| ~ relation(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_87])]) ).
fof(f521,plain,
( spl13_53
<=> ! [X0] :
( ~ in(apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8)))),relation_dom(X0))
| ~ relation(X0)
| ~ function(X0)
| in(apply(sK7,sK4(relation_composition(sK7,sK8))),relation_dom(relation_composition(sK8,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_53])]) ).
fof(f932,plain,
( ! [X0] :
( in(apply(sK7,sK4(relation_composition(sK7,sK8))),relation_dom(relation_composition(sK8,X0)))
| ~ function(sK8)
| ~ relation(sK8)
| ~ relation(X0)
| ~ in(apply(sK7,sK3(relation_composition(sK7,sK8))),relation_dom(relation_composition(sK8,X0)))
| ~ function(X0) )
| ~ spl13_53 ),
inference(duplicate_literal_removal,[],[f930]) ).
fof(f930,plain,
( ! [X0] :
( ~ relation(X0)
| ~ in(apply(sK7,sK3(relation_composition(sK7,sK8))),relation_dom(relation_composition(sK8,X0)))
| ~ function(sK8)
| ~ relation(X0)
| ~ function(X0)
| ~ function(X0)
| ~ relation(sK8)
| in(apply(sK7,sK4(relation_composition(sK7,sK8))),relation_dom(relation_composition(sK8,X0))) )
| ~ spl13_53 ),
inference(resolution,[],[f522,f98]) ).
fof(f522,plain,
( ! [X0] :
( ~ in(apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8)))),relation_dom(X0))
| ~ relation(X0)
| ~ function(X0)
| in(apply(sK7,sK4(relation_composition(sK7,sK8))),relation_dom(relation_composition(sK8,X0))) )
| ~ spl13_53 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f928,plain,
( ~ spl13_85
| spl13_86
| ~ spl13_54 ),
inference(avatar_split_clause,[],[f919,f525,f925,f921]) ).
fof(f525,plain,
( spl13_54
<=> ! [X2] :
( apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8)))) != apply(sK8,X2)
| ~ in(X2,relation_dom(sK8))
| apply(sK7,sK4(relation_composition(sK7,sK8))) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_54])]) ).
fof(f919,plain,
( apply(sK7,sK4(relation_composition(sK7,sK8))) = apply(sK7,sK3(relation_composition(sK7,sK8)))
| ~ in(apply(sK7,sK3(relation_composition(sK7,sK8))),relation_dom(sK8))
| ~ spl13_54 ),
inference(equality_resolution,[],[f526]) ).
fof(f526,plain,
( ! [X2] :
( apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8)))) != apply(sK8,X2)
| apply(sK7,sK4(relation_composition(sK7,sK8))) = X2
| ~ in(X2,relation_dom(sK8)) )
| ~ spl13_54 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f882,plain,
( spl13_84
| ~ spl13_5
| ~ spl13_14 ),
inference(avatar_split_clause,[],[f852,f210,f163,f879]) ).
fof(f879,plain,
( spl13_84
<=> empty_set = relation_composition(sK12,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_84])]) ).
fof(f163,plain,
( spl13_5
<=> empty(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
fof(f210,plain,
( spl13_14
<=> relation(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_14])]) ).
fof(f852,plain,
( empty_set = relation_composition(sK12,empty_set)
| ~ spl13_5
| ~ spl13_14 ),
inference(resolution,[],[f572,f212]) ).
fof(f212,plain,
( relation(sK12)
| ~ spl13_14 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f572,plain,
( ! [X0] :
( ~ relation(X0)
| empty_set = relation_composition(X0,empty_set) )
| ~ spl13_5 ),
inference(resolution,[],[f292,f165]) ).
fof(f165,plain,
( empty(empty_set)
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f292,plain,
! [X2,X3] :
( ~ empty(X3)
| ~ relation(X2)
| empty_set = relation_composition(X2,X3) ),
inference(resolution,[],[f105,f123]) ).
fof(f123,plain,
! [X0,X1] :
( empty(relation_composition(X0,X1))
| ~ empty(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| ( empty(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) ) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X1,X0] :
( ( empty(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) )
| ~ empty(X1)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X1,X0] :
( ( empty(X1)
& relation(X0) )
=> ( empty(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( ( empty(X0)
& relation(X1) )
=> ( empty(relation_composition(X1,X0))
& relation(relation_composition(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc10_relat_1) ).
fof(f105,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f877,plain,
( spl13_83
| ~ spl13_5
| ~ spl13_21 ),
inference(avatar_split_clause,[],[f846,f245,f163,f874]) ).
fof(f874,plain,
( spl13_83
<=> empty_set = relation_composition(relation_composition(sK7,sK8),empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_83])]) ).
fof(f846,plain,
( empty_set = relation_composition(relation_composition(sK7,sK8),empty_set)
| ~ spl13_5
| ~ spl13_21 ),
inference(resolution,[],[f572,f246]) ).
fof(f246,plain,
( relation(relation_composition(sK7,sK8))
| ~ spl13_21 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f872,plain,
( spl13_82
| ~ spl13_5
| ~ spl13_9 ),
inference(avatar_split_clause,[],[f849,f183,f163,f869]) ).
fof(f869,plain,
( spl13_82
<=> empty_set = relation_composition(sK7,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_82])]) ).
fof(f849,plain,
( empty_set = relation_composition(sK7,empty_set)
| ~ spl13_5
| ~ spl13_9 ),
inference(resolution,[],[f572,f185]) ).
fof(f185,plain,
( relation(sK7)
| ~ spl13_9 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f867,plain,
( spl13_81
| ~ spl13_5
| ~ spl13_10 ),
inference(avatar_split_clause,[],[f851,f188,f163,f864]) ).
fof(f864,plain,
( spl13_81
<=> empty_set = relation_composition(sK10,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_81])]) ).
fof(f188,plain,
( spl13_10
<=> relation(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
fof(f851,plain,
( empty_set = relation_composition(sK10,empty_set)
| ~ spl13_5
| ~ spl13_10 ),
inference(resolution,[],[f572,f190]) ).
fof(f190,plain,
( relation(sK10)
| ~ spl13_10 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f862,plain,
( spl13_80
| ~ spl13_5
| ~ spl13_16 ),
inference(avatar_split_clause,[],[f848,f220,f163,f859]) ).
fof(f859,plain,
( spl13_80
<=> empty_set = relation_composition(sK0,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_80])]) ).
fof(f848,plain,
( empty_set = relation_composition(sK0,empty_set)
| ~ spl13_5
| ~ spl13_16 ),
inference(resolution,[],[f572,f222]) ).
fof(f222,plain,
( relation(sK0)
| ~ spl13_16 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f857,plain,
( spl13_79
| ~ spl13_5
| ~ spl13_8 ),
inference(avatar_split_clause,[],[f850,f178,f163,f854]) ).
fof(f854,plain,
( spl13_79
<=> empty_set = relation_composition(sK8,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_79])]) ).
fof(f850,plain,
( empty_set = relation_composition(sK8,empty_set)
| ~ spl13_5
| ~ spl13_8 ),
inference(resolution,[],[f572,f180]) ).
fof(f180,plain,
( relation(sK8)
| ~ spl13_8 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f835,plain,
( spl13_78
| ~ spl13_76 ),
inference(avatar_split_clause,[],[f822,f816,f832]) ).
fof(f832,plain,
( spl13_78
<=> empty_set = relation_dom(sK1(powerset(empty_set))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_78])]) ).
fof(f816,plain,
( spl13_76
<=> empty(sK1(powerset(empty_set))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_76])]) ).
fof(f822,plain,
( empty_set = relation_dom(sK1(powerset(empty_set)))
| ~ spl13_76 ),
inference(resolution,[],[f818,f316]) ).
fof(f316,plain,
! [X0] :
( ~ empty(X0)
| relation_dom(X0) = empty_set ),
inference(resolution,[],[f134,f105]) ).
fof(f134,plain,
! [X0] :
( empty(relation_dom(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ( relation(relation_dom(X0))
& empty(relation_dom(X0)) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( empty(X0)
=> ( relation(relation_dom(X0))
& empty(relation_dom(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_relat_1) ).
fof(f818,plain,
( empty(sK1(powerset(empty_set)))
| ~ spl13_76 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f830,plain,
( spl13_77
| ~ spl13_76 ),
inference(avatar_split_clause,[],[f825,f816,f827]) ).
fof(f827,plain,
( spl13_77
<=> empty_set = sK1(powerset(empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_77])]) ).
fof(f825,plain,
( empty_set = sK1(powerset(empty_set))
| ~ spl13_76 ),
inference(resolution,[],[f818,f105]) ).
fof(f819,plain,
( spl13_76
| ~ spl13_5 ),
inference(avatar_split_clause,[],[f814,f163,f816]) ).
fof(f814,plain,
( empty(sK1(powerset(empty_set)))
| ~ spl13_5 ),
inference(resolution,[],[f674,f391]) ).
fof(f674,plain,
( ! [X4] : ~ in(X4,sK1(powerset(empty_set)))
| ~ spl13_5 ),
inference(resolution,[],[f393,f90]) ).
fof(f393,plain,
( ! [X0,X1] :
( ~ element(X0,powerset(empty_set))
| ~ in(X1,X0) )
| ~ spl13_5 ),
inference(resolution,[],[f106,f165]) ).
fof(f106,plain,
! [X2,X0,X1] :
( ~ empty(X1)
| ~ element(X2,powerset(X1))
| ~ in(X0,X2) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X2,X1,X0] :
( ~ element(X2,powerset(X1))
| ~ empty(X1)
| ~ in(X0,X2) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X2,X1,X0] :
~ ( in(X0,X2)
& element(X2,powerset(X1))
& empty(X1) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X0,X2,X1] :
~ ( element(X1,powerset(X2))
& in(X0,X1)
& empty(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f720,plain,
( spl13_75
| ~ spl13_5
| ~ spl13_10 ),
inference(avatar_split_clause,[],[f684,f188,f163,f717]) ).
fof(f717,plain,
( spl13_75
<=> empty_set = relation_composition(empty_set,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_75])]) ).
fof(f684,plain,
( empty_set = relation_composition(empty_set,sK10)
| ~ spl13_5
| ~ spl13_10 ),
inference(resolution,[],[f571,f190]) ).
fof(f571,plain,
( ! [X0] :
( ~ relation(X0)
| empty_set = relation_composition(empty_set,X0) )
| ~ spl13_5 ),
inference(resolution,[],[f291,f165]) ).
fof(f291,plain,
! [X0,X1] :
( ~ empty(X0)
| relation_composition(X0,X1) = empty_set
| ~ relation(X1) ),
inference(resolution,[],[f105,f136]) ).
fof(f136,plain,
! [X0,X1] :
( empty(relation_composition(X1,X0))
| ~ empty(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ~ empty(X1)
| ( relation(relation_composition(X1,X0))
& empty(relation_composition(X1,X0)) )
| ~ relation(X0) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X1,X0] :
( ( relation(relation_composition(X1,X0))
& empty(relation_composition(X1,X0)) )
| ~ empty(X1)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( ( empty(X1)
& relation(X0) )
=> ( relation(relation_composition(X1,X0))
& empty(relation_composition(X1,X0)) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
( ( relation(X1)
& empty(X0) )
=> ( empty(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc9_relat_1) ).
fof(f715,plain,
( spl13_74
| ~ spl13_5
| ~ spl13_8 ),
inference(avatar_split_clause,[],[f683,f178,f163,f712]) ).
fof(f712,plain,
( spl13_74
<=> empty_set = relation_composition(empty_set,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_74])]) ).
fof(f683,plain,
( empty_set = relation_composition(empty_set,sK8)
| ~ spl13_5
| ~ spl13_8 ),
inference(resolution,[],[f571,f180]) ).
fof(f710,plain,
( spl13_73
| ~ spl13_5
| ~ spl13_14 ),
inference(avatar_split_clause,[],[f685,f210,f163,f707]) ).
fof(f707,plain,
( spl13_73
<=> empty_set = relation_composition(empty_set,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_73])]) ).
fof(f685,plain,
( empty_set = relation_composition(empty_set,sK12)
| ~ spl13_5
| ~ spl13_14 ),
inference(resolution,[],[f571,f212]) ).
fof(f705,plain,
( spl13_72
| ~ spl13_5
| ~ spl13_9 ),
inference(avatar_split_clause,[],[f682,f183,f163,f702]) ).
fof(f702,plain,
( spl13_72
<=> empty_set = relation_composition(empty_set,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_72])]) ).
fof(f682,plain,
( empty_set = relation_composition(empty_set,sK7)
| ~ spl13_5
| ~ spl13_9 ),
inference(resolution,[],[f571,f185]) ).
fof(f700,plain,
( spl13_71
| ~ spl13_5
| ~ spl13_21 ),
inference(avatar_split_clause,[],[f679,f245,f163,f697]) ).
fof(f697,plain,
( spl13_71
<=> empty_set = relation_composition(empty_set,relation_composition(sK7,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_71])]) ).
fof(f679,plain,
( empty_set = relation_composition(empty_set,relation_composition(sK7,sK8))
| ~ spl13_5
| ~ spl13_21 ),
inference(resolution,[],[f571,f246]) ).
fof(f695,plain,
( spl13_70
| ~ spl13_5
| ~ spl13_16 ),
inference(avatar_split_clause,[],[f681,f220,f163,f692]) ).
fof(f692,plain,
( spl13_70
<=> empty_set = relation_composition(empty_set,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_70])]) ).
fof(f681,plain,
( empty_set = relation_composition(empty_set,sK0)
| ~ spl13_5
| ~ spl13_16 ),
inference(resolution,[],[f571,f222]) ).
fof(f690,plain,
( spl13_69
| ~ spl13_2
| ~ spl13_5 ),
inference(avatar_split_clause,[],[f680,f163,f148,f687]) ).
fof(f687,plain,
( spl13_69
<=> empty_set = relation_composition(empty_set,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_69])]) ).
fof(f148,plain,
( spl13_2
<=> relation(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f680,plain,
( empty_set = relation_composition(empty_set,empty_set)
| ~ spl13_2
| ~ spl13_5 ),
inference(resolution,[],[f571,f150]) ).
fof(f150,plain,
( relation(empty_set)
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f651,plain,
( ~ spl13_21
| ~ spl13_20
| spl13_68
| ~ spl13_47 ),
inference(avatar_split_clause,[],[f643,f474,f649,f241,f245]) ).
fof(f649,plain,
( spl13_68
<=> ! [X0] :
( ~ in(sK3(relation_composition(sK7,sK8)),relation_dom(relation_composition(relation_composition(sK7,sK8),X0)))
| ~ in(relation_dom(X0),apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8)))))
| ~ relation(X0)
| ~ function(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_68])]) ).
fof(f474,plain,
( spl13_47
<=> apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8)))) = apply(relation_composition(sK7,sK8),sK3(relation_composition(sK7,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_47])]) ).
fof(f643,plain,
( ! [X0] :
( ~ in(sK3(relation_composition(sK7,sK8)),relation_dom(relation_composition(relation_composition(sK7,sK8),X0)))
| ~ function(relation_composition(sK7,sK8))
| ~ relation(relation_composition(sK7,sK8))
| ~ function(X0)
| ~ relation(X0)
| ~ in(relation_dom(X0),apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8))))) )
| ~ spl13_47 ),
inference(superposition,[],[f339,f476]) ).
fof(f476,plain,
( apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8)))) = apply(relation_composition(sK7,sK8),sK3(relation_composition(sK7,sK8)))
| ~ spl13_47 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f628,plain,
( ~ spl13_21
| spl13_67
| ~ spl13_20
| ~ spl13_48 ),
inference(avatar_split_clause,[],[f613,f479,f241,f626,f245]) ).
fof(f626,plain,
( spl13_67
<=> ! [X0] :
( ~ function(X0)
| ~ in(sK4(relation_composition(sK7,sK8)),relation_dom(relation_composition(relation_composition(sK7,sK8),X0)))
| ~ relation(X0)
| ~ in(relation_dom(X0),apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_67])]) ).
fof(f479,plain,
( spl13_48
<=> apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8)))) = apply(relation_composition(sK7,sK8),sK4(relation_composition(sK7,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_48])]) ).
fof(f613,plain,
( ! [X0] :
( ~ function(relation_composition(sK7,sK8))
| ~ function(X0)
| ~ in(relation_dom(X0),apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8)))))
| ~ relation(X0)
| ~ in(sK4(relation_composition(sK7,sK8)),relation_dom(relation_composition(relation_composition(sK7,sK8),X0)))
| ~ relation(relation_composition(sK7,sK8)) )
| ~ spl13_48 ),
inference(superposition,[],[f339,f481]) ).
fof(f481,plain,
( apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8)))) = apply(relation_composition(sK7,sK8),sK4(relation_composition(sK7,sK8)))
| ~ spl13_48 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f624,plain,
( ~ spl13_2
| spl13_66
| ~ spl13_61
| ~ spl13_5
| ~ spl13_58 ),
inference(avatar_split_clause,[],[f620,f553,f163,f589,f622,f148]) ).
fof(f622,plain,
( spl13_66
<=> ! [X0,X1] :
( ~ relation(X0)
| ~ function(X0)
| ~ in(empty_set,apply(X0,X1))
| ~ in(X1,empty_set) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_66])]) ).
fof(f589,plain,
( spl13_61
<=> function(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_61])]) ).
fof(f553,plain,
( spl13_58
<=> empty_set = relation_dom(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_58])]) ).
fof(f620,plain,
( ! [X0,X1] :
( ~ function(empty_set)
| ~ relation(X0)
| ~ in(X1,empty_set)
| ~ in(empty_set,apply(X0,X1))
| ~ function(X0)
| ~ relation(empty_set) )
| ~ spl13_5
| ~ spl13_58 ),
inference(forward_demodulation,[],[f619,f555]) ).
fof(f555,plain,
( empty_set = relation_dom(empty_set)
| ~ spl13_58 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f619,plain,
( ! [X0,X1] :
( ~ function(empty_set)
| ~ function(X0)
| ~ in(empty_set,apply(X0,X1))
| ~ relation(empty_set)
| ~ relation(X0)
| ~ in(X1,relation_dom(empty_set)) )
| ~ spl13_5
| ~ spl13_58 ),
inference(forward_subsumption_demodulation,[],[f612,f572]) ).
fof(f612,plain,
( ! [X0,X1] :
( ~ function(empty_set)
| ~ relation(empty_set)
| ~ in(empty_set,apply(X0,X1))
| ~ relation(X0)
| ~ function(X0)
| ~ in(X1,relation_dom(relation_composition(X0,empty_set))) )
| ~ spl13_58 ),
inference(superposition,[],[f339,f555]) ).
fof(f618,plain,
( ~ spl13_11
| ~ spl13_8
| spl13_65
| ~ spl13_46 ),
inference(avatar_split_clause,[],[f614,f463,f616,f178,f193]) ).
fof(f616,plain,
( spl13_65
<=> ! [X1] :
( ~ relation(X1)
| ~ in(relation_dom(X1),apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8)))))
| ~ function(X1)
| ~ in(apply(sK7,sK4(relation_composition(sK7,sK8))),relation_dom(relation_composition(sK8,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_65])]) ).
fof(f614,plain,
( ! [X1] :
( ~ relation(X1)
| ~ in(apply(sK7,sK4(relation_composition(sK7,sK8))),relation_dom(relation_composition(sK8,X1)))
| ~ relation(sK8)
| ~ function(X1)
| ~ in(relation_dom(X1),apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8)))))
| ~ function(sK8) )
| ~ spl13_46 ),
inference(superposition,[],[f339,f465]) ).
fof(f611,plain,
( ~ spl13_5
| spl13_61 ),
inference(avatar_split_clause,[],[f610,f589,f163]) ).
fof(f610,plain,
( ~ empty(empty_set)
| spl13_61 ),
inference(resolution,[],[f591,f108]) ).
fof(f108,plain,
! [X0] :
( function(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ~ empty(X0)
| function(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( empty(X0)
=> function(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(f591,plain,
( ~ function(empty_set)
| spl13_61 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f607,plain,
( ~ spl13_2
| ~ spl13_63
| ~ spl13_61
| spl13_64
| ~ spl13_28
| ~ spl13_32
| ~ spl13_46
| ~ spl13_58 ),
inference(avatar_split_clause,[],[f582,f553,f463,f356,f328,f604,f589,f600,f148]) ).
fof(f600,plain,
( spl13_63
<=> in(apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8)))),empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_63])]) ).
fof(f604,plain,
( spl13_64
<=> in(sK4(relation_composition(sK7,sK8)),relation_dom(relation_composition(relation_composition(sK7,sK8),empty_set))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_64])]) ).
fof(f328,plain,
( spl13_28
<=> ! [X0] :
( ~ relation(X0)
| ~ in(apply(relation_composition(sK7,sK8),sK3(relation_composition(sK7,sK8))),relation_dom(X0))
| ~ function(X0)
| in(sK4(relation_composition(sK7,sK8)),relation_dom(relation_composition(relation_composition(sK7,sK8),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_28])]) ).
fof(f356,plain,
( spl13_32
<=> apply(relation_composition(sK7,sK8),sK3(relation_composition(sK7,sK8))) = apply(sK8,apply(sK7,sK4(relation_composition(sK7,sK8)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_32])]) ).
fof(f582,plain,
( in(sK4(relation_composition(sK7,sK8)),relation_dom(relation_composition(relation_composition(sK7,sK8),empty_set)))
| ~ function(empty_set)
| ~ in(apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8)))),empty_set)
| ~ relation(empty_set)
| ~ spl13_28
| ~ spl13_32
| ~ spl13_46
| ~ spl13_58 ),
inference(superposition,[],[f470,f555]) ).
fof(f470,plain,
( ! [X0] :
( ~ in(apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8)))),relation_dom(X0))
| ~ function(X0)
| in(sK4(relation_composition(sK7,sK8)),relation_dom(relation_composition(relation_composition(sK7,sK8),X0)))
| ~ relation(X0) )
| ~ spl13_28
| ~ spl13_32
| ~ spl13_46 ),
inference(backward_demodulation,[],[f365,f465]) ).
fof(f365,plain,
( ! [X0] :
( ~ function(X0)
| ~ relation(X0)
| in(sK4(relation_composition(sK7,sK8)),relation_dom(relation_composition(relation_composition(sK7,sK8),X0)))
| ~ in(apply(sK8,apply(sK7,sK4(relation_composition(sK7,sK8)))),relation_dom(X0)) )
| ~ spl13_28
| ~ spl13_32 ),
inference(backward_demodulation,[],[f329,f358]) ).
fof(f358,plain,
( apply(relation_composition(sK7,sK8),sK3(relation_composition(sK7,sK8))) = apply(sK8,apply(sK7,sK4(relation_composition(sK7,sK8))))
| ~ spl13_32 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f329,plain,
( ! [X0] :
( ~ function(X0)
| in(sK4(relation_composition(sK7,sK8)),relation_dom(relation_composition(relation_composition(sK7,sK8),X0)))
| ~ relation(X0)
| ~ in(apply(relation_composition(sK7,sK8),sK3(relation_composition(sK7,sK8))),relation_dom(X0)) )
| ~ spl13_28 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f598,plain,
( ~ spl13_2
| spl13_62
| ~ spl13_61
| ~ spl13_5
| ~ spl13_58 ),
inference(avatar_split_clause,[],[f594,f553,f163,f589,f596,f148]) ).
fof(f596,plain,
( spl13_62
<=> ! [X0,X1] :
( ~ in(apply(X0,X1),empty_set)
| ~ in(X1,relation_dom(X0))
| ~ function(X0)
| in(X1,empty_set)
| ~ relation(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_62])]) ).
fof(f594,plain,
( ! [X0,X1] :
( ~ function(empty_set)
| ~ in(apply(X0,X1),empty_set)
| ~ relation(X0)
| in(X1,empty_set)
| ~ function(X0)
| ~ in(X1,relation_dom(X0))
| ~ relation(empty_set) )
| ~ spl13_5
| ~ spl13_58 ),
inference(forward_demodulation,[],[f593,f555]) ).
fof(f593,plain,
( ! [X0,X1] :
( ~ function(X0)
| ~ function(empty_set)
| ~ in(apply(X0,X1),empty_set)
| ~ relation(empty_set)
| ~ relation(X0)
| ~ in(X1,relation_dom(X0))
| in(X1,relation_dom(empty_set)) )
| ~ spl13_5
| ~ spl13_58 ),
inference(forward_subsumption_demodulation,[],[f575,f572]) ).
fof(f575,plain,
( ! [X0,X1] :
( ~ function(X0)
| ~ in(X1,relation_dom(X0))
| ~ function(empty_set)
| ~ relation(empty_set)
| ~ in(apply(X0,X1),empty_set)
| in(X1,relation_dom(relation_composition(X0,empty_set)))
| ~ relation(X0) )
| ~ spl13_58 ),
inference(superposition,[],[f97,f555]) ).
fof(f592,plain,
( spl13_60
| ~ spl13_2
| ~ spl13_61
| ~ spl13_5
| ~ spl13_58 ),
inference(avatar_split_clause,[],[f584,f553,f163,f589,f148,f586]) ).
fof(f586,plain,
( spl13_60
<=> ! [X2,X3] :
( ~ function(X2)
| in(apply(X2,X3),empty_set)
| ~ relation(X2)
| ~ in(X3,empty_set) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_60])]) ).
fof(f584,plain,
( ! [X2,X3] :
( ~ function(empty_set)
| ~ relation(empty_set)
| ~ function(X2)
| ~ in(X3,empty_set)
| ~ relation(X2)
| in(apply(X2,X3),empty_set) )
| ~ spl13_5
| ~ spl13_58 ),
inference(forward_demodulation,[],[f583,f555]) ).
fof(f583,plain,
( ! [X2,X3] :
( ~ in(X3,relation_dom(empty_set))
| ~ relation(empty_set)
| ~ function(empty_set)
| in(apply(X2,X3),empty_set)
| ~ function(X2)
| ~ relation(X2) )
| ~ spl13_5
| ~ spl13_58 ),
inference(forward_subsumption_demodulation,[],[f576,f572]) ).
fof(f576,plain,
( ! [X2,X3] :
( ~ function(X2)
| ~ function(empty_set)
| ~ relation(empty_set)
| ~ relation(X2)
| in(apply(X2,X3),empty_set)
| ~ in(X3,relation_dom(relation_composition(X2,empty_set))) )
| ~ spl13_58 ),
inference(superposition,[],[f98,f555]) ).
fof(f567,plain,
( ~ spl13_8
| spl13_59
| ~ spl13_11
| ~ spl13_28
| ~ spl13_32
| ~ spl13_46 ),
inference(avatar_split_clause,[],[f563,f463,f356,f328,f193,f565,f178]) ).
fof(f563,plain,
( ! [X0] :
( ~ function(sK8)
| in(sK4(relation_composition(sK7,sK8)),relation_dom(relation_composition(relation_composition(sK7,sK8),X0)))
| ~ relation(X0)
| ~ in(apply(sK7,sK3(relation_composition(sK7,sK8))),relation_dom(relation_composition(sK8,X0)))
| ~ relation(sK8)
| ~ function(X0) )
| ~ spl13_28
| ~ spl13_32
| ~ spl13_46 ),
inference(duplicate_literal_removal,[],[f562]) ).
fof(f562,plain,
( ! [X0] :
( ~ function(sK8)
| ~ relation(X0)
| ~ function(X0)
| ~ relation(sK8)
| ~ relation(X0)
| ~ function(X0)
| ~ in(apply(sK7,sK3(relation_composition(sK7,sK8))),relation_dom(relation_composition(sK8,X0)))
| in(sK4(relation_composition(sK7,sK8)),relation_dom(relation_composition(relation_composition(sK7,sK8),X0))) )
| ~ spl13_28
| ~ spl13_32
| ~ spl13_46 ),
inference(resolution,[],[f470,f98]) ).
fof(f556,plain,
( spl13_58
| ~ spl13_5 ),
inference(avatar_split_clause,[],[f551,f163,f553]) ).
fof(f551,plain,
( empty_set = relation_dom(empty_set)
| ~ spl13_5 ),
inference(resolution,[],[f316,f165]) ).
fof(f550,plain,
( ~ spl13_57
| ~ spl13_52 ),
inference(avatar_split_clause,[],[f540,f517,f547]) ).
fof(f547,plain,
( spl13_57
<=> empty(relation_dom(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_57])]) ).
fof(f517,plain,
( spl13_52
<=> in(apply(sK7,sK4(relation_composition(sK7,sK8))),relation_dom(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_52])]) ).
fof(f540,plain,
( ~ empty(relation_dom(sK8))
| ~ spl13_52 ),
inference(resolution,[],[f518,f87]) ).
fof(f87,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X1,X0] :
~ ( in(X1,X0)
& empty(X0) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X1,X0] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f518,plain,
( in(apply(sK7,sK4(relation_composition(sK7,sK8))),relation_dom(sK8))
| ~ spl13_52 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f545,plain,
( ~ spl13_56
| ~ spl13_52 ),
inference(avatar_split_clause,[],[f539,f517,f542]) ).
fof(f539,plain,
( ~ in(relation_dom(sK8),apply(sK7,sK4(relation_composition(sK7,sK8))))
| ~ spl13_52 ),
inference(resolution,[],[f518,f124]) ).
fof(f537,plain,
( ~ spl13_8
| ~ spl13_7
| ~ spl13_11
| ~ spl13_9
| ~ spl13_27
| spl13_52 ),
inference(avatar_split_clause,[],[f536,f517,f324,f183,f193,f173,f178]) ).
fof(f324,plain,
( spl13_27
<=> in(sK4(relation_composition(sK7,sK8)),relation_dom(relation_composition(sK7,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_27])]) ).
fof(f536,plain,
( ~ in(sK4(relation_composition(sK7,sK8)),relation_dom(relation_composition(sK7,sK8)))
| ~ relation(sK7)
| ~ function(sK8)
| ~ function(sK7)
| ~ relation(sK8)
| spl13_52 ),
inference(resolution,[],[f519,f98]) ).
fof(f519,plain,
( ~ in(apply(sK7,sK4(relation_composition(sK7,sK8))),relation_dom(sK8))
| spl13_52 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f532,plain,
( ~ spl13_52
| ~ spl13_8
| ~ spl13_15
| ~ spl13_11
| spl13_54
| ~ spl13_46 ),
inference(avatar_split_clause,[],[f513,f463,f525,f193,f215,f178,f517]) ).
fof(f215,plain,
( spl13_15
<=> one_to_one(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_15])]) ).
fof(f513,plain,
( ! [X1] :
( apply(sK7,sK4(relation_composition(sK7,sK8))) = X1
| ~ function(sK8)
| apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8)))) != apply(sK8,X1)
| ~ one_to_one(sK8)
| ~ relation(sK8)
| ~ in(X1,relation_dom(sK8))
| ~ in(apply(sK7,sK4(relation_composition(sK7,sK8))),relation_dom(sK8)) )
| ~ spl13_46 ),
inference(superposition,[],[f96,f465]) ).
fof(f531,plain,
( ~ spl13_11
| ~ spl13_8
| spl13_55
| ~ spl13_46 ),
inference(avatar_split_clause,[],[f515,f463,f529,f178,f193]) ).
fof(f515,plain,
( ! [X3] :
( ~ in(apply(sK7,sK4(relation_composition(sK7,sK8))),relation_dom(relation_composition(sK8,X3)))
| ~ relation(sK8)
| ~ function(sK8)
| ~ function(X3)
| ~ relation(X3)
| in(apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8)))),relation_dom(X3)) )
| ~ spl13_46 ),
inference(superposition,[],[f98,f465]) ).
fof(f527,plain,
( ~ spl13_8
| ~ spl13_52
| ~ spl13_15
| ~ spl13_11
| spl13_54
| ~ spl13_46 ),
inference(avatar_split_clause,[],[f514,f463,f525,f193,f215,f517,f178]) ).
fof(f514,plain,
( ! [X2] :
( apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8)))) != apply(sK8,X2)
| ~ function(sK8)
| ~ one_to_one(sK8)
| ~ in(apply(sK7,sK4(relation_composition(sK7,sK8))),relation_dom(sK8))
| apply(sK7,sK4(relation_composition(sK7,sK8))) = X2
| ~ in(X2,relation_dom(sK8))
| ~ relation(sK8) )
| ~ spl13_46 ),
inference(superposition,[],[f96,f465]) ).
fof(f523,plain,
( ~ spl13_11
| ~ spl13_8
| ~ spl13_52
| spl13_53
| ~ spl13_46 ),
inference(avatar_split_clause,[],[f512,f463,f521,f517,f178,f193]) ).
fof(f512,plain,
( ! [X0] :
( ~ in(apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8)))),relation_dom(X0))
| in(apply(sK7,sK4(relation_composition(sK7,sK8))),relation_dom(relation_composition(sK8,X0)))
| ~ in(apply(sK7,sK4(relation_composition(sK7,sK8))),relation_dom(sK8))
| ~ function(X0)
| ~ relation(X0)
| ~ relation(sK8)
| ~ function(sK8) )
| ~ spl13_46 ),
inference(superposition,[],[f97,f465]) ).
fof(f511,plain,
( ~ spl13_2
| spl13_51 ),
inference(avatar_split_clause,[],[f507,f509,f148]) ).
fof(f509,plain,
( spl13_51
<=> ! [X9,X7,X6,X8] :
( ~ function(X6)
| ~ empty(relation_composition(X6,X9))
| ~ relation(X8)
| ~ relation(X6)
| ~ function(X8)
| ~ in(X7,relation_dom(empty_set))
| ~ function(X9)
| ~ relation(X9)
| apply(X9,apply(X6,apply(X8,X7))) = apply(empty_set,apply(X8,X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_51])]) ).
fof(f507,plain,
! [X8,X6,X9,X7] :
( ~ function(X6)
| apply(X9,apply(X6,apply(X8,X7))) = apply(empty_set,apply(X8,X7))
| ~ relation(X9)
| ~ function(X9)
| ~ in(X7,relation_dom(empty_set))
| ~ function(X8)
| ~ relation(X6)
| ~ relation(empty_set)
| ~ relation(X8)
| ~ empty(relation_composition(X6,X9)) ),
inference(forward_subsumption_demodulation,[],[f506,f105]) ).
fof(f506,plain,
! [X8,X6,X9,X7] :
( apply(relation_composition(X6,X9),apply(X8,X7)) = apply(X9,apply(X6,apply(X8,X7)))
| ~ function(X8)
| ~ relation(X8)
| ~ function(X6)
| ~ in(X7,relation_dom(empty_set))
| ~ relation(X6)
| ~ relation(X9)
| ~ empty(relation_composition(X6,X9))
| ~ relation(empty_set)
| ~ function(X9) ),
inference(forward_subsumption_demodulation,[],[f505,f105]) ).
fof(f505,plain,
! [X8,X6,X9,X7] :
( ~ function(X9)
| ~ relation(X9)
| ~ relation(X6)
| ~ relation(relation_composition(X6,X9))
| ~ function(X6)
| ~ empty(relation_composition(X6,X9))
| apply(relation_composition(X6,X9),apply(X8,X7)) = apply(X9,apply(X6,apply(X8,X7)))
| ~ function(X8)
| ~ in(X7,relation_dom(empty_set))
| ~ relation(X8) ),
inference(forward_subsumption_demodulation,[],[f499,f292]) ).
fof(f499,plain,
! [X8,X6,X9,X7] :
( ~ relation(X8)
| ~ relation(X9)
| ~ relation(X6)
| apply(relation_composition(X6,X9),apply(X8,X7)) = apply(X9,apply(X6,apply(X8,X7)))
| ~ function(X8)
| ~ function(X9)
| ~ relation(relation_composition(X6,X9))
| ~ in(X7,relation_dom(relation_composition(X8,relation_composition(X6,X9))))
| ~ empty(relation_composition(X6,X9))
| ~ function(X6) ),
inference(resolution,[],[f285,f108]) ).
fof(f504,plain,
( ~ spl13_11
| ~ spl13_21
| ~ spl13_7
| ~ spl13_9
| spl13_50
| ~ spl13_8
| ~ spl13_20 ),
inference(avatar_split_clause,[],[f498,f241,f178,f502,f183,f173,f245,f193]) ).
fof(f498,plain,
( ! [X4,X5] :
( ~ relation(sK8)
| ~ in(X4,relation_dom(relation_composition(X5,relation_composition(sK7,sK8))))
| ~ relation(sK7)
| ~ relation(X5)
| ~ function(X5)
| ~ function(sK7)
| ~ relation(relation_composition(sK7,sK8))
| ~ function(sK8)
| apply(sK8,apply(sK7,apply(X5,X4))) = apply(relation_composition(sK7,sK8),apply(X5,X4)) )
| ~ spl13_20 ),
inference(resolution,[],[f285,f242]) ).
fof(f491,plain,
( ~ spl13_49
| ~ spl13_38 ),
inference(avatar_split_clause,[],[f485,f402,f488]) ).
fof(f488,plain,
( spl13_49
<=> in(relation_dom(relation_composition(sK7,sK8)),sK3(relation_composition(sK7,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_49])]) ).
fof(f485,plain,
( ~ in(relation_dom(relation_composition(sK7,sK8)),sK3(relation_composition(sK7,sK8)))
| ~ spl13_38 ),
inference(resolution,[],[f403,f124]) ).
fof(f403,plain,
( in(sK3(relation_composition(sK7,sK8)),relation_dom(relation_composition(sK7,sK8)))
| ~ spl13_38 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f482,plain,
( spl13_48
| ~ spl13_34
| ~ spl13_46 ),
inference(avatar_split_clause,[],[f469,f463,f369,f479]) ).
fof(f369,plain,
( spl13_34
<=> apply(sK8,apply(sK7,sK4(relation_composition(sK7,sK8)))) = apply(relation_composition(sK7,sK8),sK4(relation_composition(sK7,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_34])]) ).
fof(f469,plain,
( apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8)))) = apply(relation_composition(sK7,sK8),sK4(relation_composition(sK7,sK8)))
| ~ spl13_34
| ~ spl13_46 ),
inference(backward_demodulation,[],[f371,f465]) ).
fof(f371,plain,
( apply(sK8,apply(sK7,sK4(relation_composition(sK7,sK8)))) = apply(relation_composition(sK7,sK8),sK4(relation_composition(sK7,sK8)))
| ~ spl13_34 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f477,plain,
( spl13_47
| ~ spl13_32
| ~ spl13_46 ),
inference(avatar_split_clause,[],[f472,f463,f356,f474]) ).
fof(f472,plain,
( apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8)))) = apply(relation_composition(sK7,sK8),sK3(relation_composition(sK7,sK8)))
| ~ spl13_32
| ~ spl13_46 ),
inference(backward_demodulation,[],[f358,f465]) ).
fof(f466,plain,
( ~ spl13_20
| ~ spl13_7
| ~ spl13_21
| ~ spl13_8
| ~ spl13_11
| ~ spl13_9
| spl13_46
| spl13_13
| ~ spl13_32 ),
inference(avatar_split_clause,[],[f461,f356,f205,f463,f183,f193,f178,f245,f173,f241]) ).
fof(f461,plain,
( apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8)))) = apply(sK8,apply(sK7,sK4(relation_composition(sK7,sK8))))
| ~ relation(sK7)
| ~ function(sK8)
| ~ relation(sK8)
| ~ relation(relation_composition(sK7,sK8))
| ~ function(sK7)
| ~ function(relation_composition(sK7,sK8))
| spl13_13
| ~ spl13_32 ),
inference(forward_demodulation,[],[f460,f358]) ).
fof(f460,plain,
( ~ relation(sK7)
| ~ relation(sK8)
| apply(sK8,apply(sK7,sK3(relation_composition(sK7,sK8)))) = apply(relation_composition(sK7,sK8),sK3(relation_composition(sK7,sK8)))
| ~ relation(relation_composition(sK7,sK8))
| ~ function(relation_composition(sK7,sK8))
| ~ function(sK7)
| ~ function(sK8)
| spl13_13 ),
inference(resolution,[],[f284,f207]) ).
fof(f207,plain,
( ~ one_to_one(relation_composition(sK7,sK8))
| spl13_13 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f284,plain,
! [X2,X3] :
( one_to_one(relation_composition(X2,X3))
| ~ relation(relation_composition(X2,X3))
| ~ relation(X3)
| ~ function(X3)
| ~ relation(X2)
| ~ function(relation_composition(X2,X3))
| ~ function(X2)
| apply(relation_composition(X2,X3),sK3(relation_composition(X2,X3))) = apply(X3,apply(X2,sK3(relation_composition(X2,X3)))) ),
inference(resolution,[],[f110,f94]) ).
fof(f459,plain,
( ~ spl13_9
| ~ spl13_8
| ~ spl13_21
| ~ spl13_11
| ~ spl13_7
| spl13_45
| ~ spl13_20 ),
inference(avatar_split_clause,[],[f447,f241,f457,f173,f193,f245,f178,f183]) ).
fof(f447,plain,
( ! [X4,X5] :
( ~ relation(X5)
| ~ function(sK7)
| in(apply(X5,X4),relation_dom(sK7))
| ~ function(X5)
| ~ function(sK8)
| ~ relation(relation_composition(sK7,sK8))
| ~ relation(sK8)
| ~ in(X4,relation_dom(relation_composition(X5,relation_composition(sK7,sK8))))
| ~ relation(sK7) )
| ~ spl13_20 ),
inference(resolution,[],[f259,f242]) ).
fof(f455,plain,
( ~ spl13_2
| spl13_44 ),
inference(avatar_split_clause,[],[f451,f453,f148]) ).
fof(f453,plain,
( spl13_44
<=> ! [X9,X7,X6,X8] :
( ~ function(X9)
| ~ relation(X6)
| ~ relation(X9)
| ~ function(X8)
| in(apply(X8,X7),relation_dom(X6))
| ~ in(X7,relation_dom(empty_set))
| ~ relation(X8)
| ~ function(X6)
| ~ empty(relation_composition(X6,X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_44])]) ).
fof(f451,plain,
! [X8,X6,X9,X7] :
( ~ function(X9)
| ~ empty(relation_composition(X6,X9))
| ~ function(X6)
| ~ function(X8)
| ~ relation(X8)
| ~ relation(empty_set)
| ~ in(X7,relation_dom(empty_set))
| in(apply(X8,X7),relation_dom(X6))
| ~ relation(X9)
| ~ relation(X6) ),
inference(forward_subsumption_demodulation,[],[f450,f105]) ).
fof(f450,plain,
! [X8,X6,X9,X7] :
( ~ function(X6)
| ~ function(X9)
| ~ relation(X6)
| in(apply(X8,X7),relation_dom(X6))
| ~ in(X7,relation_dom(empty_set))
| ~ function(X8)
| ~ relation(relation_composition(X6,X9))
| ~ relation(X9)
| ~ empty(relation_composition(X6,X9))
| ~ relation(X8) ),
inference(forward_subsumption_demodulation,[],[f448,f292]) ).
fof(f448,plain,
! [X8,X6,X9,X7] :
( ~ relation(X6)
| ~ relation(X8)
| ~ relation(X9)
| ~ function(X6)
| ~ in(X7,relation_dom(relation_composition(X8,relation_composition(X6,X9))))
| ~ function(X9)
| ~ empty(relation_composition(X6,X9))
| ~ function(X8)
| in(apply(X8,X7),relation_dom(X6))
| ~ relation(relation_composition(X6,X9)) ),
inference(resolution,[],[f259,f108]) ).
fof(f445,plain,
( ~ spl13_43
| ~ spl13_40 ),
inference(avatar_split_clause,[],[f439,f424,f442]) ).
fof(f442,plain,
( spl13_43
<=> in(relation_dom(sK7),sK3(relation_composition(sK7,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_43])]) ).
fof(f439,plain,
( ~ in(relation_dom(sK7),sK3(relation_composition(sK7,sK8)))
| ~ spl13_40 ),
inference(resolution,[],[f426,f124]) ).
fof(f426,plain,
( in(sK3(relation_composition(sK7,sK8)),relation_dom(sK7))
| ~ spl13_40 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f438,plain,
( ~ spl13_2
| spl13_41
| spl13_42 ),
inference(avatar_split_clause,[],[f430,f436,f432,f148]) ).
fof(f432,plain,
( spl13_41
<=> one_to_one(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_41])]) ).
fof(f436,plain,
( spl13_42
<=> ! [X2,X3] :
( ~ relation(X3)
| ~ empty(relation_composition(X3,X2))
| in(sK3(empty_set),relation_dom(X3))
| ~ relation(X2)
| ~ function(X2)
| ~ function(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_42])]) ).
fof(f430,plain,
! [X2,X3] :
( ~ relation(X3)
| ~ function(X3)
| one_to_one(empty_set)
| ~ relation(X2)
| ~ function(X2)
| in(sK3(empty_set),relation_dom(X3))
| ~ relation(empty_set)
| ~ empty(relation_composition(X3,X2)) ),
inference(forward_subsumption_demodulation,[],[f429,f105]) ).
fof(f429,plain,
! [X2,X3] :
( ~ relation(X3)
| ~ relation(empty_set)
| ~ function(X2)
| one_to_one(relation_composition(X3,X2))
| ~ relation(X2)
| in(sK3(empty_set),relation_dom(X3))
| ~ function(X3)
| ~ empty(relation_composition(X3,X2)) ),
inference(forward_subsumption_demodulation,[],[f428,f105]) ).
fof(f428,plain,
! [X2,X3] :
( ~ empty(relation_composition(X3,X2))
| ~ relation(X3)
| ~ relation(X2)
| in(sK3(empty_set),relation_dom(X3))
| ~ relation(relation_composition(X3,X2))
| one_to_one(relation_composition(X3,X2))
| ~ function(X2)
| ~ function(X3) ),
inference(forward_subsumption_demodulation,[],[f421,f105]) ).
fof(f421,plain,
! [X2,X3] :
( in(sK3(relation_composition(X3,X2)),relation_dom(X3))
| ~ function(X2)
| ~ relation(X3)
| ~ relation(X2)
| one_to_one(relation_composition(X3,X2))
| ~ empty(relation_composition(X3,X2))
| ~ function(X3)
| ~ relation(relation_composition(X3,X2)) ),
inference(resolution,[],[f258,f108]) ).
fof(f427,plain,
( ~ spl13_7
| ~ spl13_11
| spl13_13
| spl13_40
| ~ spl13_21
| ~ spl13_8
| ~ spl13_9
| ~ spl13_20 ),
inference(avatar_split_clause,[],[f420,f241,f183,f178,f245,f424,f205,f193,f173]) ).
fof(f420,plain,
( ~ relation(sK7)
| ~ relation(sK8)
| ~ relation(relation_composition(sK7,sK8))
| in(sK3(relation_composition(sK7,sK8)),relation_dom(sK7))
| one_to_one(relation_composition(sK7,sK8))
| ~ function(sK8)
| ~ function(sK7)
| ~ spl13_20 ),
inference(resolution,[],[f258,f242]) ).
fof(f418,plain,
( ~ spl13_20
| spl13_13
| ~ spl13_21
| spl13_38 ),
inference(avatar_split_clause,[],[f417,f402,f245,f205,f241]) ).
fof(f417,plain,
( ~ relation(relation_composition(sK7,sK8))
| one_to_one(relation_composition(sK7,sK8))
| ~ function(relation_composition(sK7,sK8))
| spl13_38 ),
inference(resolution,[],[f404,f94]) ).
fof(f404,plain,
( ~ in(sK3(relation_composition(sK7,sK8)),relation_dom(relation_composition(sK7,sK8)))
| spl13_38 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f409,plain,
( spl13_39
| ~ spl13_20
| ~ spl13_21
| ~ spl13_32 ),
inference(avatar_split_clause,[],[f397,f356,f245,f241,f407]) ).
fof(f407,plain,
( spl13_39
<=> ! [X3] :
( ~ in(sK3(relation_composition(sK7,sK8)),relation_dom(relation_composition(relation_composition(sK7,sK8),X3)))
| ~ function(X3)
| in(apply(sK8,apply(sK7,sK4(relation_composition(sK7,sK8)))),relation_dom(X3))
| ~ relation(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_39])]) ).
fof(f397,plain,
( ! [X3] :
( ~ relation(relation_composition(sK7,sK8))
| ~ function(relation_composition(sK7,sK8))
| ~ in(sK3(relation_composition(sK7,sK8)),relation_dom(relation_composition(relation_composition(sK7,sK8),X3)))
| ~ relation(X3)
| in(apply(sK8,apply(sK7,sK4(relation_composition(sK7,sK8)))),relation_dom(X3))
| ~ function(X3) )
| ~ spl13_32 ),
inference(superposition,[],[f98,f358]) ).
fof(f405,plain,
( ~ spl13_21
| ~ spl13_20
| spl13_37
| ~ spl13_38
| ~ spl13_32 ),
inference(avatar_split_clause,[],[f394,f356,f402,f399,f241,f245]) ).
fof(f394,plain,
( ! [X0] :
( ~ in(sK3(relation_composition(sK7,sK8)),relation_dom(relation_composition(sK7,sK8)))
| ~ relation(X0)
| ~ in(apply(sK8,apply(sK7,sK4(relation_composition(sK7,sK8)))),relation_dom(X0))
| in(sK3(relation_composition(sK7,sK8)),relation_dom(relation_composition(relation_composition(sK7,sK8),X0)))
| ~ function(relation_composition(sK7,sK8))
| ~ function(X0)
| ~ relation(relation_composition(sK7,sK8)) )
| ~ spl13_32 ),
inference(superposition,[],[f97,f358]) ).
fof(f388,plain,
( ~ spl13_36
| ~ spl13_31 ),
inference(avatar_split_clause,[],[f378,f350,f385]) ).
fof(f385,plain,
( spl13_36
<=> empty(relation_dom(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_36])]) ).
fof(f378,plain,
( ~ empty(relation_dom(sK7))
| ~ spl13_31 ),
inference(resolution,[],[f352,f87]) ).
fof(f352,plain,
( in(sK4(relation_composition(sK7,sK8)),relation_dom(sK7))
| ~ spl13_31 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f383,plain,
( ~ spl13_35
| ~ spl13_31 ),
inference(avatar_split_clause,[],[f377,f350,f380]) ).
fof(f380,plain,
( spl13_35
<=> in(relation_dom(sK7),sK4(relation_composition(sK7,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_35])]) ).
fof(f377,plain,
( ~ in(relation_dom(sK7),sK4(relation_composition(sK7,sK8)))
| ~ spl13_31 ),
inference(resolution,[],[f352,f124]) ).
fof(f372,plain,
( spl13_34
| ~ spl13_19
| ~ spl13_32 ),
inference(avatar_split_clause,[],[f367,f356,f237,f369]) ).
fof(f237,plain,
( spl13_19
<=> apply(relation_composition(sK7,sK8),sK3(relation_composition(sK7,sK8))) = apply(relation_composition(sK7,sK8),sK4(relation_composition(sK7,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_19])]) ).
fof(f367,plain,
( apply(sK8,apply(sK7,sK4(relation_composition(sK7,sK8)))) = apply(relation_composition(sK7,sK8),sK4(relation_composition(sK7,sK8)))
| ~ spl13_19
| ~ spl13_32 ),
inference(backward_demodulation,[],[f239,f358]) ).
fof(f239,plain,
( apply(relation_composition(sK7,sK8),sK3(relation_composition(sK7,sK8))) = apply(relation_composition(sK7,sK8),sK4(relation_composition(sK7,sK8)))
| ~ spl13_19 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f364,plain,
( ~ spl13_33
| ~ spl13_27 ),
inference(avatar_split_clause,[],[f343,f324,f361]) ).
fof(f361,plain,
( spl13_33
<=> empty(relation_dom(relation_composition(sK7,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_33])]) ).
fof(f343,plain,
( ~ empty(relation_dom(relation_composition(sK7,sK8)))
| ~ spl13_27 ),
inference(resolution,[],[f325,f87]) ).
fof(f325,plain,
( in(sK4(relation_composition(sK7,sK8)),relation_dom(relation_composition(sK7,sK8)))
| ~ spl13_27 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f359,plain,
( ~ spl13_8
| ~ spl13_11
| spl13_32
| ~ spl13_9
| ~ spl13_7
| ~ spl13_19
| ~ spl13_27 ),
inference(avatar_split_clause,[],[f354,f324,f237,f173,f183,f356,f193,f178]) ).
fof(f354,plain,
( ~ function(sK7)
| ~ relation(sK7)
| apply(relation_composition(sK7,sK8),sK3(relation_composition(sK7,sK8))) = apply(sK8,apply(sK7,sK4(relation_composition(sK7,sK8))))
| ~ function(sK8)
| ~ relation(sK8)
| ~ spl13_19
| ~ spl13_27 ),
inference(forward_demodulation,[],[f340,f239]) ).
fof(f340,plain,
( ~ function(sK7)
| apply(sK8,apply(sK7,sK4(relation_composition(sK7,sK8)))) = apply(relation_composition(sK7,sK8),sK4(relation_composition(sK7,sK8)))
| ~ relation(sK7)
| ~ function(sK8)
| ~ relation(sK8)
| ~ spl13_27 ),
inference(resolution,[],[f325,f110]) ).
fof(f353,plain,
( ~ spl13_8
| ~ spl13_11
| ~ spl13_9
| ~ spl13_7
| spl13_31
| ~ spl13_27 ),
inference(avatar_split_clause,[],[f341,f324,f350,f173,f183,f193,f178]) ).
fof(f341,plain,
( in(sK4(relation_composition(sK7,sK8)),relation_dom(sK7))
| ~ function(sK7)
| ~ relation(sK7)
| ~ function(sK8)
| ~ relation(sK8)
| ~ spl13_27 ),
inference(resolution,[],[f325,f99]) ).
fof(f348,plain,
( ~ spl13_30
| ~ spl13_27 ),
inference(avatar_split_clause,[],[f342,f324,f345]) ).
fof(f345,plain,
( spl13_30
<=> in(relation_dom(relation_composition(sK7,sK8)),sK4(relation_composition(sK7,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_30])]) ).
fof(f342,plain,
( ~ in(relation_dom(relation_composition(sK7,sK8)),sK4(relation_composition(sK7,sK8)))
| ~ spl13_27 ),
inference(resolution,[],[f325,f124]) ).
fof(f336,plain,
( spl13_13
| ~ spl13_21
| ~ spl13_20
| spl13_27 ),
inference(avatar_split_clause,[],[f335,f324,f241,f245,f205]) ).
fof(f335,plain,
( ~ function(relation_composition(sK7,sK8))
| ~ relation(relation_composition(sK7,sK8))
| one_to_one(relation_composition(sK7,sK8))
| spl13_27 ),
inference(resolution,[],[f326,f92]) ).
fof(f326,plain,
( ~ in(sK4(relation_composition(sK7,sK8)),relation_dom(relation_composition(sK7,sK8)))
| spl13_27 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f334,plain,
( ~ spl13_20
| ~ spl13_21
| spl13_29
| ~ spl13_19 ),
inference(avatar_split_clause,[],[f322,f237,f332,f245,f241]) ).
fof(f332,plain,
( spl13_29
<=> ! [X3] :
( ~ relation(X3)
| in(apply(relation_composition(sK7,sK8),sK3(relation_composition(sK7,sK8))),relation_dom(X3))
| ~ in(sK4(relation_composition(sK7,sK8)),relation_dom(relation_composition(relation_composition(sK7,sK8),X3)))
| ~ function(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_29])]) ).
fof(f322,plain,
( ! [X3] :
( ~ relation(X3)
| ~ function(X3)
| ~ relation(relation_composition(sK7,sK8))
| ~ in(sK4(relation_composition(sK7,sK8)),relation_dom(relation_composition(relation_composition(sK7,sK8),X3)))
| ~ function(relation_composition(sK7,sK8))
| in(apply(relation_composition(sK7,sK8),sK3(relation_composition(sK7,sK8))),relation_dom(X3)) )
| ~ spl13_19 ),
inference(superposition,[],[f98,f239]) ).
fof(f330,plain,
( ~ spl13_21
| ~ spl13_20
| ~ spl13_27
| spl13_28
| ~ spl13_19 ),
inference(avatar_split_clause,[],[f319,f237,f328,f324,f241,f245]) ).
fof(f319,plain,
( ! [X0] :
( ~ relation(X0)
| in(sK4(relation_composition(sK7,sK8)),relation_dom(relation_composition(relation_composition(sK7,sK8),X0)))
| ~ in(sK4(relation_composition(sK7,sK8)),relation_dom(relation_composition(sK7,sK8)))
| ~ function(X0)
| ~ in(apply(relation_composition(sK7,sK8),sK3(relation_composition(sK7,sK8))),relation_dom(X0))
| ~ function(relation_composition(sK7,sK8))
| ~ relation(relation_composition(sK7,sK8)) )
| ~ spl13_19 ),
inference(superposition,[],[f97,f239]) ).
fof(f312,plain,
( spl13_26
| ~ spl13_4 ),
inference(avatar_split_clause,[],[f295,f158,f309]) ).
fof(f309,plain,
( spl13_26
<=> empty_set = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_26])]) ).
fof(f158,plain,
( spl13_4
<=> empty(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
fof(f295,plain,
( empty_set = sK6
| ~ spl13_4 ),
inference(resolution,[],[f105,f160]) ).
fof(f160,plain,
( empty(sK6)
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f305,plain,
( spl13_25
| ~ spl13_17 ),
inference(avatar_split_clause,[],[f294,f226,f302]) ).
fof(f302,plain,
( spl13_25
<=> empty_set = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_25])]) ).
fof(f226,plain,
( spl13_17
<=> empty(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_17])]) ).
fof(f294,plain,
( empty_set = sK5
| ~ spl13_17 ),
inference(resolution,[],[f105,f228]) ).
fof(f228,plain,
( empty(sK5)
| ~ spl13_17 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f276,plain,
( ~ spl13_9
| ~ spl13_11
| ~ spl13_8
| ~ spl13_7
| spl13_21 ),
inference(avatar_split_clause,[],[f260,f245,f173,f178,f193,f183]) ).
fof(f260,plain,
( ~ function(sK7)
| ~ relation(sK8)
| ~ function(sK8)
| ~ relation(sK7)
| spl13_21 ),
inference(resolution,[],[f247,f138]) ).
fof(f247,plain,
( ~ relation(relation_composition(sK7,sK8))
| spl13_21 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f275,plain,
( ~ spl13_9
| ~ spl13_8
| spl13_21 ),
inference(avatar_split_clause,[],[f262,f245,f178,f183]) ).
fof(f262,plain,
( ~ relation(sK8)
| ~ relation(sK7)
| spl13_21 ),
inference(resolution,[],[f247,f129]) ).
fof(f274,plain,
( ~ spl13_24
| ~ spl13_9
| spl13_21 ),
inference(avatar_split_clause,[],[f263,f245,f183,f271]) ).
fof(f271,plain,
( spl13_24
<=> empty(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_24])]) ).
fof(f263,plain,
( ~ relation(sK7)
| ~ empty(sK8)
| spl13_21 ),
inference(resolution,[],[f247,f122]) ).
fof(f122,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f269,plain,
( ~ spl13_23
| ~ spl13_8
| spl13_21 ),
inference(avatar_split_clause,[],[f261,f245,f178,f266]) ).
fof(f266,plain,
( spl13_23
<=> empty(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_23])]) ).
fof(f261,plain,
( ~ relation(sK8)
| ~ empty(sK7)
| spl13_21 ),
inference(resolution,[],[f247,f137]) ).
fof(f137,plain,
! [X0,X1] :
( relation(relation_composition(X1,X0))
| ~ relation(X0)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f256,plain,
( ~ spl13_22
| spl13_20 ),
inference(avatar_split_clause,[],[f250,f241,f253]) ).
fof(f253,plain,
( spl13_22
<=> empty(relation_composition(sK7,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_22])]) ).
fof(f250,plain,
( ~ empty(relation_composition(sK7,sK8))
| spl13_20 ),
inference(resolution,[],[f243,f108]) ).
fof(f243,plain,
( ~ function(relation_composition(sK7,sK8))
| spl13_20 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f251,plain,
( ~ spl13_9
| ~ spl13_7
| ~ spl13_11
| ~ spl13_8
| spl13_20 ),
inference(avatar_split_clause,[],[f249,f241,f178,f193,f173,f183]) ).
fof(f249,plain,
( ~ relation(sK8)
| ~ function(sK8)
| ~ function(sK7)
| ~ relation(sK7)
| spl13_20 ),
inference(resolution,[],[f243,f139]) ).
fof(f248,plain,
( spl13_19
| ~ spl13_20
| ~ spl13_21
| spl13_13 ),
inference(avatar_split_clause,[],[f235,f205,f245,f241,f237]) ).
fof(f235,plain,
( ~ relation(relation_composition(sK7,sK8))
| ~ function(relation_composition(sK7,sK8))
| apply(relation_composition(sK7,sK8),sK3(relation_composition(sK7,sK8))) = apply(relation_composition(sK7,sK8),sK4(relation_composition(sK7,sK8)))
| spl13_13 ),
inference(resolution,[],[f95,f207]) ).
fof(f95,plain,
! [X0] :
( one_to_one(X0)
| apply(X0,sK4(X0)) = apply(X0,sK3(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f234,plain,
~ spl13_18,
inference(avatar_split_clause,[],[f91,f231]) ).
fof(f231,plain,
( spl13_18
<=> empty(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_18])]) ).
fof(f91,plain,
~ empty(sK2),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
? [X0] : ~ empty(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f229,plain,
spl13_17,
inference(avatar_split_clause,[],[f100,f226]) ).
fof(f100,plain,
empty(sK5),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
? [X0] :
( relation(X0)
& empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(f224,plain,
spl13_5,
inference(avatar_split_clause,[],[f133,f163]) ).
fof(f133,plain,
empty(empty_set),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f223,plain,
spl13_16,
inference(avatar_split_clause,[],[f88,f220]) ).
fof(f88,plain,
relation(sK0),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
? [X0] :
( function(X0)
& relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(f218,plain,
spl13_15,
inference(avatar_split_clause,[],[f115,f215]) ).
fof(f115,plain,
one_to_one(sK8),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
? [X0] :
( ? [X1] :
( one_to_one(X0)
& one_to_one(X1)
& ~ one_to_one(relation_composition(X0,X1))
& relation(X1)
& function(X1) )
& function(X0)
& relation(X0) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
? [X0] :
( ? [X1] :
( ~ one_to_one(relation_composition(X0,X1))
& one_to_one(X0)
& one_to_one(X1)
& function(X1)
& relation(X1) )
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( ( one_to_one(X0)
& one_to_one(X1) )
=> one_to_one(relation_composition(X0,X1)) ) ) ),
inference(negated_conjecture,[],[f30]) ).
fof(f30,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( ( one_to_one(X0)
& one_to_one(X1) )
=> one_to_one(relation_composition(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_funct_1) ).
fof(f213,plain,
spl13_14,
inference(avatar_split_clause,[],[f141,f210]) ).
fof(f141,plain,
relation(sK12),
inference(cnf_transformation,[],[f20]) ).
fof(f20,axiom,
? [X0] :
( relation(X0)
& ~ empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_relat_1) ).
fof(f208,plain,
~ spl13_13,
inference(avatar_split_clause,[],[f114,f205]) ).
fof(f114,plain,
~ one_to_one(relation_composition(sK7,sK8)),
inference(cnf_transformation,[],[f71]) ).
fof(f203,plain,
spl13_2,
inference(avatar_split_clause,[],[f104,f148]) ).
fof(f104,plain,
relation(empty_set),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( relation(empty_set)
& empty(empty_set) ),
inference(pure_predicate_removal,[],[f8]) ).
fof(f8,axiom,
( relation_empty_yielding(empty_set)
& relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc12_relat_1) ).
fof(f202,plain,
spl13_5,
inference(avatar_split_clause,[],[f84,f163]) ).
fof(f84,plain,
empty(empty_set),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
( relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f201,plain,
spl13_12,
inference(avatar_split_clause,[],[f116,f198]) ).
fof(f116,plain,
one_to_one(sK7),
inference(cnf_transformation,[],[f71]) ).
fof(f196,plain,
spl13_11,
inference(avatar_split_clause,[],[f112,f193]) ).
fof(f112,plain,
function(sK8),
inference(cnf_transformation,[],[f71]) ).
fof(f191,plain,
spl13_10,
inference(avatar_split_clause,[],[f126,f188]) ).
fof(f126,plain,
relation(sK10),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
? [X0] : relation(X0),
inference(pure_predicate_removal,[],[f23]) ).
fof(f23,axiom,
? [X0] :
( relation(X0)
& relation_empty_yielding(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_relat_1) ).
fof(f186,plain,
spl13_9,
inference(avatar_split_clause,[],[f117,f183]) ).
fof(f117,plain,
relation(sK7),
inference(cnf_transformation,[],[f71]) ).
fof(f181,plain,
spl13_8,
inference(avatar_split_clause,[],[f113,f178]) ).
fof(f113,plain,
relation(sK8),
inference(cnf_transformation,[],[f71]) ).
fof(f176,plain,
spl13_7,
inference(avatar_split_clause,[],[f118,f173]) ).
fof(f118,plain,
function(sK7),
inference(cnf_transformation,[],[f71]) ).
fof(f171,plain,
spl13_6,
inference(avatar_split_clause,[],[f89,f168]) ).
fof(f89,plain,
function(sK0),
inference(cnf_transformation,[],[f16]) ).
fof(f166,plain,
spl13_5,
inference(avatar_split_clause,[],[f103,f163]) ).
fof(f103,plain,
empty(empty_set),
inference(cnf_transformation,[],[f49]) ).
fof(f161,plain,
spl13_4,
inference(avatar_split_clause,[],[f109,f158]) ).
fof(f109,plain,
empty(sK6),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f156,plain,
spl13_3,
inference(avatar_split_clause,[],[f101,f153]) ).
fof(f153,plain,
( spl13_3
<=> relation(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f101,plain,
relation(sK5),
inference(cnf_transformation,[],[f17]) ).
fof(f151,plain,
spl13_2,
inference(avatar_split_clause,[],[f85,f148]) ).
fof(f85,plain,
relation(empty_set),
inference(cnf_transformation,[],[f12]) ).
fof(f146,plain,
~ spl13_1,
inference(avatar_split_clause,[],[f140,f143]) ).
fof(f143,plain,
( spl13_1
<=> empty(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f140,plain,
~ empty(sK12),
inference(cnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU013+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 14:37:00 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.51 % (4087)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)
% 0.20/0.51 % (4079)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)
% 0.20/0.52 % (4080)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)
% 0.20/0.52 % (4070)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)
% 0.20/0.52 % (4071)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 % (4071)Instruction limit reached!
% 0.20/0.53 % (4071)------------------------------
% 0.20/0.53 % (4071)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (4067)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 TRYING [1]
% 0.20/0.53 % (4064)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 TRYING [2]
% 0.20/0.53 % (4069)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 % (4068)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 % (4091)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 TRYING [1]
% 0.20/0.53 % (4071)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (4071)Termination reason: Unknown
% 0.20/0.53 % (4071)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (4071)Memory used [KB]: 5628
% 0.20/0.53 % (4071)Time elapsed: 0.106 s
% 0.20/0.53 % (4066)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 % (4071)Instructions burned: 8 (million)
% 0.20/0.53 % (4071)------------------------------
% 0.20/0.53 % (4071)------------------------------
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (4078)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (4077)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 % (4076)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 TRYING [3]
% 0.20/0.54 % (4081)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.45/0.54 % (4065)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.45/0.54 % (4088)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.45/0.54 % (4092)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.45/0.54 % (4094)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.45/0.54 % (4083)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.45/0.54 % (4072)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.45/0.54 % (4093)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.45/0.54 % (4065)Refutation not found, incomplete strategy% (4065)------------------------------
% 1.45/0.54 % (4065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54 % (4065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54 % (4065)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.54
% 1.45/0.54 % (4065)Memory used [KB]: 5500
% 1.45/0.54 % (4065)Time elapsed: 0.136 s
% 1.45/0.54 % (4065)Instructions burned: 3 (million)
% 1.45/0.54 % (4065)------------------------------
% 1.45/0.54 % (4065)------------------------------
% 1.45/0.55 % (4072)Instruction limit reached!
% 1.45/0.55 % (4072)------------------------------
% 1.45/0.55 % (4072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55 % (4072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55 % (4072)Termination reason: Unknown
% 1.45/0.55 % (4072)Termination phase: Blocked clause elimination
% 1.45/0.55
% 1.45/0.55 % (4072)Memory used [KB]: 895
% 1.45/0.55 % (4072)Time elapsed: 0.002 s
% 1.45/0.55 % (4072)Instructions burned: 3 (million)
% 1.45/0.55 % (4072)------------------------------
% 1.45/0.55 % (4072)------------------------------
% 1.45/0.55 % (4089)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.45/0.55 % (4082)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.45/0.55 % (4084)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.45/0.55 % (4075)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.45/0.55 % (4085)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.45/0.55 TRYING [1]
% 1.45/0.55 TRYING [2]
% 1.45/0.55 TRYING [3]
% 1.45/0.55 % (4090)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.45/0.56 % (4086)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.45/0.56 TRYING [4]
% 1.45/0.56 % (4074)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.45/0.56 TRYING [4]
% 1.63/0.58 TRYING [3]
% 1.63/0.58 TRYING [4]
% 1.63/0.59 % (4070)Instruction limit reached!
% 1.63/0.59 % (4070)------------------------------
% 1.63/0.59 % (4070)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.59 % (4070)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.59 % (4070)Termination reason: Unknown
% 1.63/0.59 % (4070)Termination phase: Finite model building SAT solving
% 1.63/0.59
% 1.63/0.59 % (4070)Memory used [KB]: 7164
% 1.63/0.59 % (4070)Time elapsed: 0.100 s
% 1.63/0.59 % (4070)Instructions burned: 55 (million)
% 1.63/0.59 % (4070)------------------------------
% 1.63/0.59 % (4070)------------------------------
% 1.63/0.59 % (4066)Instruction limit reached!
% 1.63/0.59 % (4066)------------------------------
% 1.63/0.59 % (4066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.59 % (4066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.59 % (4066)Termination reason: Unknown
% 1.63/0.59 % (4066)Termination phase: Saturation
% 1.63/0.59
% 1.63/0.59 % (4066)Memory used [KB]: 1407
% 1.63/0.59 % (4066)Time elapsed: 0.190 s
% 1.63/0.59 % (4066)Instructions burned: 37 (million)
% 1.63/0.59 % (4066)------------------------------
% 1.63/0.59 % (4066)------------------------------
% 1.63/0.62 % (4067)Instruction limit reached!
% 1.63/0.62 % (4067)------------------------------
% 1.63/0.62 % (4067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.62 % (4067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.62 % (4067)Termination reason: Unknown
% 1.63/0.62 % (4067)Termination phase: Saturation
% 1.63/0.62
% 1.63/0.62 % (4067)Memory used [KB]: 5884
% 1.63/0.62 % (4067)Time elapsed: 0.197 s
% 1.63/0.62 % (4067)Instructions burned: 53 (million)
% 1.63/0.62 % (4067)------------------------------
% 1.63/0.62 % (4067)------------------------------
% 1.63/0.63 % (4080)Instruction limit reached!
% 1.63/0.63 % (4080)------------------------------
% 1.63/0.63 % (4080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.63 % (4080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.63 % (4080)Termination reason: Unknown
% 1.63/0.63 % (4080)Termination phase: Saturation
% 1.63/0.63
% 1.63/0.63 % (4080)Memory used [KB]: 1918
% 1.63/0.63 % (4080)Time elapsed: 0.202 s
% 1.63/0.63 % (4080)Instructions burned: 75 (million)
% 1.63/0.63 % (4080)------------------------------
% 1.63/0.63 % (4080)------------------------------
% 1.63/0.63 % (4079)Instruction limit reached!
% 1.63/0.63 % (4079)------------------------------
% 1.63/0.63 % (4079)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.63 % (4079)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.63 % (4079)Termination reason: Unknown
% 1.63/0.63 % (4079)Termination phase: Saturation
% 1.63/0.63
% 1.63/0.63 % (4079)Memory used [KB]: 6652
% 1.63/0.63 % (4079)Time elapsed: 0.044 s
% 1.63/0.63 % (4079)Instructions burned: 68 (million)
% 1.63/0.63 % (4079)------------------------------
% 1.63/0.63 % (4079)------------------------------
% 1.63/0.63 % (4069)Instruction limit reached!
% 1.63/0.63 % (4069)------------------------------
% 1.63/0.63 % (4069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.63 % (4069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.63 % (4069)Termination reason: Unknown
% 1.63/0.63 % (4069)Termination phase: Saturation
% 1.63/0.63
% 1.63/0.63 % (4069)Memory used [KB]: 6012
% 1.63/0.63 % (4069)Time elapsed: 0.214 s
% 1.63/0.63 % (4069)Instructions burned: 48 (million)
% 1.63/0.63 % (4069)------------------------------
% 1.63/0.63 % (4069)------------------------------
% 1.63/0.63 % (4082)Instruction limit reached!
% 1.63/0.63 % (4082)------------------------------
% 1.63/0.63 % (4082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.63 % (4082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.63 % (4082)Termination reason: Unknown
% 1.63/0.63 % (4082)Termination phase: Finite model building SAT solving
% 1.63/0.63
% 1.63/0.63 % (4082)Memory used [KB]: 7164
% 1.63/0.63 % (4082)Time elapsed: 0.195 s
% 1.63/0.63 % (4082)Instructions burned: 59 (million)
% 1.63/0.63 % (4082)------------------------------
% 1.63/0.63 % (4082)------------------------------
% 2.09/0.63 TRYING [5]
% 2.09/0.64 % (4074)Instruction limit reached!
% 2.09/0.64 % (4074)------------------------------
% 2.09/0.64 % (4074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.64 % (4068)Instruction limit reached!
% 2.09/0.64 % (4068)------------------------------
% 2.09/0.64 % (4068)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.64 % (4068)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64 % (4068)Termination reason: Unknown
% 2.09/0.64 % (4068)Termination phase: Saturation
% 2.09/0.64
% 2.09/0.64 % (4068)Memory used [KB]: 6780
% 2.09/0.64 % (4068)Time elapsed: 0.239 s
% 2.09/0.64 % (4068)Instructions burned: 52 (million)
% 2.09/0.64 % (4068)------------------------------
% 2.09/0.64 % (4068)------------------------------
% 2.09/0.64 % (4074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64 % (4074)Termination reason: Unknown
% 2.09/0.64 % (4074)Termination phase: Saturation
% 2.09/0.64
% 2.09/0.64 % (4074)Memory used [KB]: 1663
% 2.09/0.64 % (4074)Time elapsed: 0.213 s
% 2.09/0.64 % (4074)Instructions burned: 51 (million)
% 2.09/0.64 % (4074)------------------------------
% 2.09/0.64 % (4074)------------------------------
% 2.09/0.64 % (4075)Instruction limit reached!
% 2.09/0.64 % (4075)------------------------------
% 2.09/0.64 % (4075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.64 % (4075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64 % (4075)Termination reason: Unknown
% 2.09/0.64 % (4075)Termination phase: Saturation
% 2.09/0.64
% 2.09/0.64 % (4075)Memory used [KB]: 6268
% 2.09/0.64 % (4075)Time elapsed: 0.238 s
% 2.09/0.64 % (4075)Instructions burned: 51 (million)
% 2.09/0.64 % (4075)------------------------------
% 2.09/0.64 % (4075)------------------------------
% 2.09/0.66 % (4095)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)
% 2.09/0.66 % (4097)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)
% 2.09/0.66 % (4091)Instruction limit reached!
% 2.09/0.66 % (4091)------------------------------
% 2.09/0.66 % (4091)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.66 % (4091)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.66 % (4091)Termination reason: Unknown
% 2.09/0.66 % (4091)Termination phase: Saturation
% 2.09/0.66
% 2.09/0.66 % (4091)Memory used [KB]: 6652
% 2.09/0.66 % (4091)Time elapsed: 0.039 s
% 2.09/0.66 % (4091)Instructions burned: 68 (million)
% 2.09/0.66 % (4091)------------------------------
% 2.09/0.66 % (4091)------------------------------
% 2.32/0.70 % (4076)Instruction limit reached!
% 2.32/0.70 % (4076)------------------------------
% 2.32/0.70 % (4076)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.70 % (4076)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.70 % (4076)Termination reason: Unknown
% 2.32/0.70 % (4076)Termination phase: Saturation
% 2.32/0.70
% 2.32/0.70 % (4076)Memory used [KB]: 6268
% 2.32/0.70 % (4076)Time elapsed: 0.276 s
% 2.32/0.70 % (4076)Instructions burned: 100 (million)
% 2.32/0.70 % (4076)------------------------------
% 2.32/0.70 % (4076)------------------------------
% 2.32/0.70 % (4078)Instruction limit reached!
% 2.32/0.70 % (4078)------------------------------
% 2.32/0.70 % (4078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.70 % (4078)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.70 % (4078)Termination reason: Unknown
% 2.32/0.70 % (4078)Termination phase: Saturation
% 2.32/0.70
% 2.32/0.70 % (4078)Memory used [KB]: 6524
% 2.32/0.70 % (4078)Time elapsed: 0.279 s
% 2.32/0.70 % (4078)Instructions burned: 99 (million)
% 2.32/0.70 % (4078)------------------------------
% 2.32/0.70 % (4078)------------------------------
% 2.32/0.70 % (4077)Instruction limit reached!
% 2.32/0.70 % (4077)------------------------------
% 2.32/0.70 % (4077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.70 % (4077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.70 % (4077)Termination reason: Unknown
% 2.32/0.70 % (4077)Termination phase: Saturation
% 2.32/0.70
% 2.32/0.70 % (4077)Memory used [KB]: 6524
% 2.32/0.70 % (4077)Time elapsed: 0.300 s
% 2.32/0.70 % (4077)Instructions burned: 102 (million)
% 2.32/0.70 % (4077)------------------------------
% 2.32/0.70 % (4077)------------------------------
% 2.32/0.71 % (4096)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)
% 2.32/0.73 % (4084)Instruction limit reached!
% 2.32/0.73 % (4084)------------------------------
% 2.32/0.73 % (4084)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.73 % (4084)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.73 % (4084)Termination reason: Unknown
% 2.32/0.73 % (4084)Termination phase: Saturation
% 2.32/0.73
% 2.32/0.73 % (4084)Memory used [KB]: 1791
% 2.32/0.73 % (4084)Time elapsed: 0.311 s
% 2.32/0.73 % (4084)Instructions burned: 100 (million)
% 2.32/0.73 % (4084)------------------------------
% 2.32/0.73 % (4084)------------------------------
% 2.32/0.73 % (4098)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.58/0.73 % (4081)Instruction limit reached!
% 2.58/0.73 % (4081)------------------------------
% 2.58/0.73 % (4081)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.73 % (4083)Instruction limit reached!
% 2.58/0.73 % (4083)------------------------------
% 2.58/0.73 % (4083)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.73 % (4083)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.73 % (4081)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.73 % (4083)Termination reason: Unknown
% 2.58/0.73 % (4081)Termination reason: Unknown
% 2.58/0.73 % (4083)Termination phase: Saturation
% 2.58/0.73
% 2.58/0.73 % (4081)Termination phase: Saturation
% 2.58/0.73
% 2.58/0.73 % (4083)Memory used [KB]: 6652
% 2.58/0.73 % (4081)Memory used [KB]: 6524
% 2.58/0.73 % (4083)Time elapsed: 0.332 s
% 2.58/0.73 % (4081)Time elapsed: 0.333 s
% 2.58/0.73 % (4083)Instructions burned: 100 (million)
% 2.58/0.73 % (4081)Instructions burned: 100 (million)
% 2.58/0.73 % (4083)------------------------------
% 2.58/0.73 % (4083)------------------------------
% 2.58/0.73 % (4081)------------------------------
% 2.58/0.73 % (4081)------------------------------
% 2.58/0.74 % (4100)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.58/0.75 % (4107)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/3735Mi)
% 2.58/0.75 % (4099)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.68/0.77 % (4103)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)
% 2.68/0.77 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.68/0.77 % (4104)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)
% 2.68/0.78 % (4102)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)
% 2.68/0.78 % (4105)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)
% 2.68/0.78 % (4108)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)
% 2.68/0.79 % (4097)Instruction limit reached!
% 2.68/0.79 % (4097)------------------------------
% 2.68/0.79 % (4097)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.79 % (4097)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.79 % (4097)Termination reason: Unknown
% 2.68/0.79 % (4097)Termination phase: Saturation
% 2.68/0.79
% 2.68/0.79 % (4097)Memory used [KB]: 6396
% 2.68/0.79 % (4097)Time elapsed: 0.185 s
% 2.68/0.79 % (4097)Instructions burned: 90 (million)
% 2.68/0.79 % (4097)------------------------------
% 2.68/0.79 % (4097)------------------------------
% 2.68/0.80 % (4086)Instruction limit reached!
% 2.68/0.80 % (4086)------------------------------
% 2.68/0.80 % (4086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.80 % (4086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.80 % (4086)Termination reason: Unknown
% 2.68/0.80 % (4086)Termination phase: Saturation
% 2.68/0.80
% 2.68/0.80 % (4086)Memory used [KB]: 7164
% 2.68/0.80 % (4086)Time elapsed: 0.404 s
% 2.68/0.80 % (4086)Instructions burned: 139 (million)
% 2.68/0.80 % (4086)------------------------------
% 2.68/0.80 % (4086)------------------------------
% 2.68/0.80 % (4101)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)
% 2.68/0.81 TRYING [6]
% 2.68/0.82 % (4085)Instruction limit reached!
% 2.68/0.82 % (4085)------------------------------
% 2.68/0.82 % (4085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.82 % (4085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.82 % (4085)Termination reason: Unknown
% 2.68/0.82 % (4085)Termination phase: Saturation
% 2.68/0.82
% 2.68/0.82 % (4085)Memory used [KB]: 6524
% 2.68/0.82 % (4085)Time elapsed: 0.385 s
% 2.68/0.82 % (4085)Instructions burned: 178 (million)
% 2.68/0.82 % (4085)------------------------------
% 2.68/0.82 % (4085)------------------------------
% 2.68/0.82 % (4106)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 (2997ds/2016Mi)
% 2.94/0.83 % (4109)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)
% 2.94/0.83 % (4111)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)
% 2.94/0.83 % (4110)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 3.00/0.86 % (4112)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)
% 3.00/0.87 % (4092)Instruction limit reached!
% 3.00/0.87 % (4092)------------------------------
% 3.00/0.87 % (4092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.00/0.87 % (4092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.00/0.87 % (4092)Termination reason: Unknown
% 3.00/0.87 % (4092)Termination phase: Saturation
% 3.00/0.87
% 3.00/0.87 % (4092)Memory used [KB]: 3326
% 3.00/0.87 % (4092)Time elapsed: 0.453 s
% 3.00/0.87 % (4092)Instructions burned: 177 (million)
% 3.00/0.87 % (4092)------------------------------
% 3.00/0.87 % (4092)------------------------------
% 3.00/0.87 % (4113)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)
% 3.00/0.88 % (4114)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)
% 3.00/0.90 % (4115)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.00/0.91 % (4102)Instruction limit reached!
% 3.00/0.91 % (4102)------------------------------
% 3.00/0.91 % (4102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.00/0.91 % (4102)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.00/0.91 % (4102)Termination reason: Unknown
% 3.00/0.91 % (4102)Termination phase: Saturation
% 3.00/0.91
% 3.00/0.91 % (4102)Memory used [KB]: 6652
% 3.00/0.91 % (4102)Time elapsed: 0.035 s
% 3.00/0.91 % (4102)Instructions burned: 69 (million)
% 3.00/0.91 % (4102)------------------------------
% 3.00/0.91 % (4102)------------------------------
% 3.19/0.94 % (4116)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.19/0.95 % (4105)Instruction limit reached!
% 3.19/0.95 % (4105)------------------------------
% 3.19/0.95 % (4105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.19/0.95 % (4105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.19/0.95 % (4105)Termination reason: Unknown
% 3.19/0.95 % (4105)Termination phase: Saturation
% 3.19/0.95
% 3.19/0.95 % (4105)Memory used [KB]: 6652
% 3.19/0.95 % (4105)Time elapsed: 0.255 s
% 3.19/0.95 % (4105)Instructions burned: 91 (million)
% 3.19/0.95 % (4105)------------------------------
% 3.19/0.95 % (4105)------------------------------
% 3.19/0.96 % (4117)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)
% 3.34/0.99 % (4112)Instruction limit reached!
% 3.34/0.99 % (4112)------------------------------
% 3.34/0.99 % (4112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.34/0.99 % (4112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.34/0.99 % (4112)Termination reason: Unknown
% 3.34/0.99 % (4112)Termination phase: Saturation
% 3.34/0.99
% 3.34/0.99 % (4112)Memory used [KB]: 6524
% 3.34/0.99 % (4112)Time elapsed: 0.036 s
% 3.34/0.99 % (4112)Instructions burned: 70 (million)
% 3.34/0.99 % (4112)------------------------------
% 3.34/0.99 % (4112)------------------------------
% 3.34/1.00 % (4118)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 3.53/1.04 % (4119)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.53/1.07 % (4096)Instruction limit reached!
% 3.53/1.07 % (4096)------------------------------
% 3.53/1.07 % (4096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.64/1.07 % (4096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.64/1.07 % (4096)Termination reason: Unknown
% 5.64/1.07 % (4096)Termination phase: Saturation
% 5.64/1.07
% 5.64/1.07 % (4096)Memory used [KB]: 2430
% 5.64/1.07 % (4096)Time elapsed: 0.472 s
% 5.64/1.07 % (4096)Instructions burned: 211 (million)
% 5.64/1.07 % (4096)------------------------------
% 5.64/1.07 % (4096)------------------------------
% 5.64/1.08 % (4120)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)
% 5.64/1.12 % (4117)Instruction limit reached!
% 5.64/1.12 % (4117)------------------------------
% 5.64/1.12 % (4117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.64/1.12 % (4117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.64/1.12 % (4117)Termination reason: Unknown
% 5.64/1.12 % (4117)Termination phase: Saturation
% 5.64/1.12
% 5.64/1.12 % (4117)Memory used [KB]: 6524
% 5.64/1.12 % (4117)Time elapsed: 0.284 s
% 5.64/1.12 % (4117)Instructions burned: 90 (million)
% 5.64/1.12 % (4117)------------------------------
% 5.64/1.12 % (4117)------------------------------
% 5.64/1.13 % (4121)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)
% 6.44/1.20 % (4094)Instruction limit reached!
% 6.44/1.20 % (4094)------------------------------
% 6.44/1.20 % (4094)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.44/1.20 % (4094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.44/1.20 % (4094)Termination reason: Unknown
% 6.44/1.20 % (4094)Termination phase: Saturation
% 6.44/1.20
% 6.44/1.20 % (4094)Memory used [KB]: 10234
% 6.44/1.20 % (4094)Time elapsed: 0.776 s
% 6.44/1.20 % (4094)Instructions burned: 355 (million)
% 6.44/1.20 % (4094)------------------------------
% 6.44/1.20 % (4094)------------------------------
% 6.44/1.21 % (4123)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9902Mi)
% 6.44/1.23 TRYING [7]
% 6.87/1.25 % (4087)Instruction limit reached!
% 6.87/1.25 % (4087)------------------------------
% 6.87/1.25 % (4087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.05/1.26 % (4124)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)
% 7.05/1.26 % (4087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.05/1.26 % (4087)Termination reason: Unknown
% 7.05/1.26 % (4087)Termination phase: Saturation
% 7.05/1.26
% 7.05/1.26 % (4087)Memory used [KB]: 3326
% 7.05/1.26 % (4087)Time elapsed: 0.793 s
% 7.05/1.26 % (4087)Instructions burned: 499 (million)
% 7.05/1.26 % (4087)------------------------------
% 7.05/1.26 % (4087)------------------------------
% 7.05/1.28 % (4093)Instruction limit reached!
% 7.05/1.28 % (4093)------------------------------
% 7.05/1.28 % (4093)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.05/1.30 % (4093)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.05/1.30 % (4093)Termination reason: Unknown
% 7.05/1.30 % (4093)Termination phase: Saturation
% 7.05/1.30
% 7.05/1.30 % (4093)Memory used [KB]: 13944
% 7.05/1.30 % (4093)Time elapsed: 0.846 s
% 7.05/1.30 % (4093)Instructions burned: 440 (million)
% 7.05/1.30 % (4093)------------------------------
% 7.05/1.30 % (4093)------------------------------
% 7.48/1.32 % (4095)Instruction limit reached!
% 7.48/1.32 % (4095)------------------------------
% 7.48/1.32 % (4095)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.48/1.32 % (4095)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.48/1.32 % (4095)Termination reason: Unknown
% 7.48/1.32 % (4095)Termination phase: Saturation
% 7.48/1.32
% 7.48/1.32 % (4095)Memory used [KB]: 8571
% 7.48/1.32 % (4095)Time elapsed: 0.688 s
% 7.48/1.32 % (4095)Instructions burned: 389 (million)
% 7.48/1.32 % (4095)------------------------------
% 7.48/1.32 % (4095)------------------------------
% 7.76/1.36 % (4125)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9989Mi)
% 7.76/1.37 % (4088)Instruction limit reached!
% 7.76/1.37 % (4088)------------------------------
% 7.76/1.37 % (4088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.76/1.38 % (4089)Instruction limit reached!
% 7.76/1.38 % (4089)------------------------------
% 7.76/1.38 % (4089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.76/1.38 % (4089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.76/1.38 % (4089)Termination reason: Unknown
% 7.76/1.38 % (4089)Termination phase: Saturation
% 7.76/1.38
% 7.76/1.38 % (4089)Memory used [KB]: 9722
% 7.76/1.38 % (4089)Time elapsed: 0.956 s
% 7.76/1.38 % (4089)Instructions burned: 482 (million)
% 7.76/1.38 % (4089)------------------------------
% 7.76/1.38 % (4089)------------------------------
% 7.76/1.38 % (4088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.76/1.38 % (4088)Termination reason: Unknown
% 7.76/1.38 % (4088)Termination phase: Saturation
% 7.76/1.38
% 7.76/1.38 % (4088)Memory used [KB]: 11257
% 7.76/1.38 % (4088)Time elapsed: 0.957 s
% 7.76/1.38 % (4088)Instructions burned: 468 (million)
% 7.76/1.38 % (4088)------------------------------
% 7.76/1.38 % (4088)------------------------------
% 7.76/1.38 % (4113)First to succeed.
% 7.76/1.40 % (4090)Instruction limit reached!
% 7.76/1.40 % (4090)------------------------------
% 7.76/1.40 % (4090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.76/1.40 % (4090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.76/1.40 % (4090)Termination reason: Unknown
% 7.76/1.40 % (4090)Termination phase: Saturation
% 7.76/1.40
% 7.76/1.40 % (4090)Memory used [KB]: 9850
% 7.76/1.40 % (4090)Time elapsed: 0.979 s
% 7.76/1.40 % (4090)Instructions burned: 500 (million)
% 7.76/1.40 % (4090)------------------------------
% 7.76/1.40 % (4090)------------------------------
% 7.76/1.40 % (4126)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9707Mi)
% 7.76/1.41 % (4113)Refutation found. Thanks to Tanya!
% 7.76/1.41 % SZS status Theorem for theBenchmark
% 7.76/1.41 % SZS output start Proof for theBenchmark
% See solution above
% 7.76/1.41 % (4113)------------------------------
% 7.76/1.41 % (4113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.76/1.41 % (4113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.76/1.41 % (4113)Termination reason: Refutation
% 7.76/1.41
% 7.76/1.41 % (4113)Memory used [KB]: 2558
% 7.76/1.41 % (4113)Time elapsed: 0.623 s
% 7.76/1.41 % (4113)Instructions burned: 351 (million)
% 7.76/1.41 % (4113)------------------------------
% 7.76/1.41 % (4113)------------------------------
% 7.76/1.41 % (4063)Success in time 1.052 s
%------------------------------------------------------------------------------