TSTP Solution File: GEO465+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO465+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n017.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 16:10:22 EDT 2022
% Result : Theorem 55.21s 8.00s
% Output : Refutation 55.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 193
% Syntax : Number of formulae : 772 ( 8 unt; 0 def)
% Number of atoms : 3227 ( 404 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 3988 (1533 ~;1671 |; 339 &)
% ( 230 <=>; 207 =>; 0 <=; 8 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 17 ( 2 avg)
% Number of predicates : 154 ( 152 usr; 135 prp; 0-6 aty)
% Number of functors : 129 ( 129 usr; 49 con; 0-7 aty)
% Number of variables : 2413 (2171 !; 242 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14494,plain,
$false,
inference(avatar_smt_refutation,[],[f13301,f13306,f13903,f13911,f13914,f13923,f13927,f13935,f13939,f13943,f13947,f13952,f13961,f13965,f13970,f13979,f13983,f13987,f13992,f13996,f14000,f14009,f14013,f14017,f14025,f14029,f14034,f14038,f14042,f14051,f14058,f14063,f14068,f14072,f14076,f14080,f14084,f14089,f14093,f14098,f14103,f14112,f14119,f14120,f14126,f14131,f14132,f14137,f14141,f14149,f14153,f14157,f14162,f14167,f14171,f14175,f14180,f14185,f14189,f14194,f14198,f14202,f14206,f14216,f14221,f14225,f14230,f14234,f14239,f14249,f14254,f14258,f14262,f14267,f14271,f14275,f14276,f14281,f14290,f14294,f14299,f14304,f14309,f14313,f14318,f14322,f14326,f14330,f14331,f14336,f14340,f14344,f14349,f14353,f14357,f14366,f14370,f14375,f14379,f14384,f14388,f14393,f14397,f14402,f14407,f14411,f14415,f14419,f14424,f14429,f14433,f14438,f14443,f14448,f14449,f14453,f14458,f14459,f14464,f14468,f14469,f14473,f14474,f14479,f14480,f14484,f14488,f14493]) ).
fof(f14493,plain,
( spl2410_134
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13655,f13303,f14490]) ).
fof(f14490,plain,
( spl2410_134
<=> sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),sK1059(i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_134])]) ).
fof(f13303,plain,
( spl2410_2
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_2])]) ).
fof(f13655,plain,
( sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),sK1059(i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f11925]) ).
fof(f11925,plain,
! [X2,X0,X1] :
( sQ2409_eqProxy(s(X2,sK1059(X0,X1,X2)),s(X2,X0))
| ~ p(s(bool,i(s(fun(X2,bool),X1),s(X2,X0)))) ),
inference(equality_proxy_replacement,[],[f8438,f10758]) ).
fof(f10758,plain,
! [X0,X1] :
( sQ2409_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ2409_eqProxy])]) ).
fof(f8438,plain,
! [X2,X0,X1] :
( s(X2,sK1059(X0,X1,X2)) = s(X2,X0)
| ~ p(s(bool,i(s(fun(X2,bool),X1),s(X2,X0)))) ),
inference(cnf_transformation,[],[f3989]) ).
fof(f3989,plain,
! [X1,X2,X0] :
( p(s(bool,i(s(fun(X2,bool),X1),s(X2,X0))))
<=> ? [X3] :
( p(s(bool,i(s(fun(X2,bool),X1),s(X2,X3))))
& s(X2,X0) = s(X2,X3) ) ),
inference(rectify,[],[f53]) ).
fof(f53,axiom,
! [X15,X6,X3] :
( p(s(bool,i(s(fun(X3,bool),X6),s(X3,X15))))
<=> ? [X0] :
( p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0))))
& s(X3,X0) = s(X3,X15) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aUNWINDu_THM2) ).
fof(f13305,plain,
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ spl2410_2 ),
inference(avatar_component_clause,[],[f13303]) ).
fof(f14488,plain,
( ~ spl2410_4
| spl2410_133
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13415,f13303,f14486,f13905]) ).
fof(f13905,plain,
( spl2410_4
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_4])]) ).
fof(f14486,plain,
( spl2410_133
<=> ! [X176,X177] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),X176))))),s(real,X177))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK2122),real),X176),s(cart(real,sK2122),sK2123))))),s(real,X177))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK2122),real),X176),s(cart(real,sK2122),sK2262(i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122),X176))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_133])]) ).
fof(f13415,plain,
( ! [X176,X177] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),X176))))),s(real,X177))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK2122),real),X176),s(cart(real,sK2122),sK2262(i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122),X176)))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK2122),real),X176),s(cart(real,sK2122),sK2123))))),s(real,X177)))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f10515]) ).
fof(f10515,plain,
! [X2,X3,X0,X1,X5] :
( ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X5))),s(fun(X2,bool),X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X2,real),X3),s(X2,X5))))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(X2,real),X3),s(X2,sK2262(X1,X2,X3)))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(X2,real),real),i(s(fun(fun(X2,bool),fun(fun(X2,real),real)),sum),s(fun(X2,bool),X1))),s(fun(X2,real),X3))))),s(real,X0))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X1)))) ),
inference(cnf_transformation,[],[f5564]) ).
fof(f5564,plain,
! [X0,X3,X2,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(X2,real),real),i(s(fun(fun(X2,bool),fun(fun(X2,real),real)),sum),s(fun(X2,bool),X1))),s(fun(X2,real),X3))))),s(real,X0))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X1))))
| ? [X4] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(X2,real),X3),s(X2,X4))))))
& p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X4))),s(fun(X2,bool),X1)))) )
| ! [X5] :
( ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X5))),s(fun(X2,bool),X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X2,real),X3),s(X2,X5))))),s(real,X0)))) ) ),
inference(flattening,[],[f5563]) ).
fof(f5563,plain,
! [X3,X1,X0,X2] :
( ! [X5] :
( ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X5))),s(fun(X2,bool),X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X2,real),X3),s(X2,X5))))),s(real,X0)))) )
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(X2,real),real),i(s(fun(fun(X2,bool),fun(fun(X2,real),real)),sum),s(fun(X2,bool),X1))),s(fun(X2,real),X3))))),s(real,X0))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X1))))
| ? [X4] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(X2,real),X3),s(X2,X4))))))
& p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X4))),s(fun(X2,bool),X1)))) ) ),
inference(ennf_transformation,[],[f4270]) ).
fof(f4270,plain,
! [X3,X1,X0,X2] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(X2,real),real),i(s(fun(fun(X2,bool),fun(fun(X2,real),real)),sum),s(fun(X2,bool),X1))),s(fun(X2,real),X3))))),s(real,X0))))
& p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X1))))
& ! [X4] :
( p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X4))),s(fun(X2,bool),X1))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(X2,real),X3),s(X2,X4)))))) ) )
=> ! [X5] :
( p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X5))),s(fun(X2,bool),X1))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X2,real),X3),s(X2,X5))))),s(real,X0)))) ) ),
inference(rectify,[],[f2282]) ).
fof(f2282,axiom,
! [X19,X96,X3,X10] :
( ( p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X96))))
& ! [X0] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(X3,real),X10),s(X3,X0)))))) )
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(X3,real),real),i(s(fun(fun(X3,bool),fun(fun(X3,real),real)),sum),s(fun(X3,bool),X96))),s(fun(X3,real),X10))))),s(real,X19)))) )
=> ! [X0] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X3,real),X10),s(X3,X0))))),s(real,X19)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSUMu_POSu_BOUND) ).
fof(f14484,plain,
( ~ spl2410_4
| spl2410_132
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13367,f13303,f14482,f13905]) ).
fof(f14482,plain,
( spl2410_132
<=> ! [X87,X88] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),X87))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))))),s(real,X88))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK2122),real),X87),s(cart(real,sK2122),sK2123))))),s(real,X88))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK2122),real),X87),s(cart(real,sK2122),sK893(X88,X87,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122))))))),s(real,X88)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_132])]) ).
fof(f13367,plain,
( ! [X88,X87] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),X87))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))))),s(real,X88))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK2122),real),X87),s(cart(real,sK2122),sK893(X88,X87,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122))))))),s(real,X88))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK2122),real),X87),s(cart(real,sK2122),sK2123))))),s(real,X88)))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f8098]) ).
fof(f8098,plain,
! [X2,X3,X0,X1,X5] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X3,real),X1),s(X3,sK893(X0,X1,X2,X3)))))),s(real,X0))))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X2))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(X3,real),X1),s(X3,X5))))),s(real,X0))))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X5))),s(fun(X3,bool),X2))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(fun(X3,real),real),i(s(fun(fun(X3,bool),fun(fun(X3,real),real)),sum),s(fun(X3,bool),X2))),s(fun(X3,real),X1))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2))))))),s(real,X0)))))) ),
inference(cnf_transformation,[],[f5254]) ).
fof(f5254,plain,
! [X3,X2,X1,X0] :
( ? [X4] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X3,real),X1),s(X3,X4))))),s(real,X0))))
& p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X4))),s(fun(X3,bool),X2)))) )
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(fun(X3,real),real),i(s(fun(fun(X3,bool),fun(fun(X3,real),real)),sum),s(fun(X3,bool),X2))),s(fun(X3,real),X1))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2))))))),s(real,X0))))))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X2))))
| ! [X5] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(X3,real),X1),s(X3,X5))))),s(real,X0))))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X5))),s(fun(X3,bool),X2)))) ) ),
inference(flattening,[],[f5253]) ).
fof(f5253,plain,
! [X2,X1,X0,X3] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(fun(X3,real),real),i(s(fun(fun(X3,bool),fun(fun(X3,real),real)),sum),s(fun(X3,bool),X2))),s(fun(X3,real),X1))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2))))))),s(real,X0))))))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X2))))
| ? [X4] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X3,real),X1),s(X3,X4))))),s(real,X0))))
& p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X4))),s(fun(X3,bool),X2)))) )
| ! [X5] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(X3,real),X1),s(X3,X5))))),s(real,X0))))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X5))),s(fun(X3,bool),X2)))) ) ),
inference(ennf_transformation,[],[f4088]) ).
fof(f4088,plain,
! [X2,X1,X0,X3] :
( ( p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X2))))
& ! [X4] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X4))),s(fun(X3,bool),X2))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X3,real),X1),s(X3,X4))))),s(real,X0)))) )
& ? [X5] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X5))),s(fun(X3,bool),X2))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(X3,real),X1),s(X3,X5))))),s(real,X0)))) ) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(fun(X3,real),real),i(s(fun(fun(X3,bool),fun(fun(X3,real),real)),sum),s(fun(X3,bool),X2))),s(fun(X3,real),X1))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2))))))),s(real,X0)))))) ),
inference(rectify,[],[f2298]) ).
fof(f2298,axiom,
! [X19,X10,X96,X3] :
( ( ! [X0] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X3,real),X10),s(X3,X0))))),s(real,X19)))) )
& ? [X0] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(X3,real),X10),s(X3,X0))))),s(real,X19)))) )
& p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X96)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(fun(X3,real),real),i(s(fun(fun(X3,bool),fun(fun(X3,real),real)),sum),s(fun(X3,bool),X96))),s(fun(X3,real),X10))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X96))))))),s(real,X19)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSUMu_BOUNDu_LT) ).
fof(f14480,plain,
( ~ spl2410_7
| spl2410_53
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13661,f13303,f14117,f13920]) ).
fof(f13920,plain,
( spl2410_7
<=> sP1226(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_7])]) ).
fof(f14117,plain,
( spl2410_53
<=> ! [X486] :
( sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),X486),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),X486)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_53])]) ).
fof(f13661,plain,
( ! [X603] :
( sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),X603),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),X603))))
| ~ sP1226(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool)) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12110]) ).
fof(f12110,plain,
! [X3,X0,X1,X4] :
( ~ sP1226(X1,X0)
| sQ2409_eqProxy(s(X0,X4),s(X0,X3))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X4))))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3)))) ),
inference(equality_proxy_replacement,[],[f8768,f10758]) ).
fof(f8768,plain,
! [X3,X0,X1,X4] :
( s(X0,X4) = s(X0,X3)
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3))))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X4))))
| ~ sP1226(X1,X0) ),
inference(cnf_transformation,[],[f5590]) ).
fof(f5590,plain,
! [X1,X0] :
( ( ! [X5,X6] :
( s(X0,X6) = s(X0,X5)
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X6))))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X5)))) )
& ? [X7] : p(s(bool,i(s(fun(X0,bool),X1),s(X0,X7)))) )
<=> ( ? [X2] : p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))
& ! [X3,X4] :
( ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X4))))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3))))
| s(X0,X4) = s(X0,X3) ) ) ),
inference(flattening,[],[f5589]) ).
fof(f5589,plain,
! [X1,X0] :
( ( ? [X7] : p(s(bool,i(s(fun(X0,bool),X1),s(X0,X7))))
& ! [X6,X5] :
( s(X0,X6) = s(X0,X5)
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X6))))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X5)))) ) )
<=> ( ? [X2] : p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))
& ! [X3,X4] :
( s(X0,X4) = s(X0,X3)
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X4))))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3)))) ) ) ),
inference(ennf_transformation,[],[f3991]) ).
fof(f3991,plain,
! [X1,X0] :
( ( ? [X7] : p(s(bool,i(s(fun(X0,bool),X1),s(X0,X7))))
& ! [X6,X5] :
( ( p(s(bool,i(s(fun(X0,bool),X1),s(X0,X6))))
& p(s(bool,i(s(fun(X0,bool),X1),s(X0,X5)))) )
=> s(X0,X6) = s(X0,X5) ) )
<=> ( ? [X2] : p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))
& ! [X3,X4] :
( ( p(s(bool,i(s(fun(X0,bool),X1),s(X0,X4))))
& p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3)))) )
=> s(X0,X4) = s(X0,X3) ) ) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X3,X6] :
( ( ? [X0] : p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0))))
& ! [X1,X0] :
( ( p(s(bool,i(s(fun(X3,bool),X6),s(X3,X1))))
& p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0)))) )
=> s(X3,X0) = s(X3,X1) ) )
<=> ( ! [X1,X0] :
( ( p(s(bool,i(s(fun(X3,bool),X6),s(X3,X1))))
& p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0)))) )
=> s(X3,X0) = s(X3,X1) )
& ? [X0] : p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aEXISTSu_UNIQUEu_THM) ).
fof(f14479,plain,
( spl2410_131
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13618,f13303,f14476]) ).
fof(f14476,plain,
( spl2410_131
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK1931(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_131])]) ).
fof(f13618,plain,
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK1931(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f9890]) ).
fof(f9890,plain,
! [X3,X0,X1] :
( p(s(bool,i(s(fun(X1,bool),X0),s(X1,sK1931(X0,X1)))))
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X3)))) ),
inference(cnf_transformation,[],[f5418]) ).
fof(f5418,plain,
! [X0,X1] :
( ! [X2] : ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X2))))
<=> ! [X3] : ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X3)))) ),
inference(ennf_transformation,[],[f3988]) ).
fof(f3988,plain,
! [X0,X1] :
( ! [X3] : ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X3))))
<=> ~ ? [X2] : p(s(bool,i(s(fun(X1,bool),X0),s(X1,X2)))) ),
inference(rectify,[],[f102]) ).
fof(f102,axiom,
! [X6,X3] :
( ~ ? [X0] : p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0))))
<=> ! [X0] : ~ p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNOTu_EXISTSu_THM) ).
fof(f14474,plain,
( spl2410_9
| ~ spl2410_50
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13663,f13303,f14105,f13929]) ).
fof(f13929,plain,
( spl2410_9
<=> ! [X479] :
( sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))),s(fun(cart(real,sK2122),bool),X479))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),X479)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_9])]) ).
fof(f14105,plain,
( spl2410_50
<=> sP1275(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_50])]) ).
fof(f13663,plain,
( ! [X604] :
( ~ sP1275(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),X604))))
| sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))),s(fun(cart(real,sK2122),bool),X604)) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12135]) ).
fof(f12135,plain,
! [X2,X3,X0,X1] :
( ~ sP1275(X1,X0)
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))
| sQ2409_eqProxy(s(X0,X2),s(X0,X3))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3)))) ),
inference(equality_proxy_replacement,[],[f8843,f10758]) ).
fof(f8843,plain,
! [X2,X3,X0,X1] :
( ~ sP1275(X1,X0)
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))
| s(X0,X2) = s(X0,X3)
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3)))) ),
inference(cnf_transformation,[],[f6417]) ).
fof(f6417,plain,
! [X0,X1] :
( ( ? [X4] : p(s(bool,i(s(fun(X0,bool),X1),s(X0,X4))))
& ! [X2,X3] :
( ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3))))
| s(X0,X2) = s(X0,X3)
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2)))) ) )
<=> ? [X5] :
( p(s(bool,i(s(fun(X0,bool),X1),s(X0,X5))))
& ! [X6] :
( ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X6))))
| s(X0,X6) = s(X0,X5) ) ) ),
inference(flattening,[],[f6416]) ).
fof(f6416,plain,
! [X1,X0] :
( ( ! [X2,X3] :
( s(X0,X2) = s(X0,X3)
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3)))) )
& ? [X4] : p(s(bool,i(s(fun(X0,bool),X1),s(X0,X4)))) )
<=> ? [X5] :
( p(s(bool,i(s(fun(X0,bool),X1),s(X0,X5))))
& ! [X6] :
( ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X6))))
| s(X0,X6) = s(X0,X5) ) ) ),
inference(ennf_transformation,[],[f3990]) ).
fof(f3990,plain,
! [X1,X0] :
( ( ! [X2,X3] :
( ( p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))
& p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3)))) )
=> s(X0,X2) = s(X0,X3) )
& ? [X4] : p(s(bool,i(s(fun(X0,bool),X1),s(X0,X4)))) )
<=> ? [X5] :
( ! [X6] :
( p(s(bool,i(s(fun(X0,bool),X1),s(X0,X6))))
=> s(X0,X6) = s(X0,X5) )
& p(s(bool,i(s(fun(X0,bool),X1),s(X0,X5)))) ) ),
inference(rectify,[],[f82]) ).
fof(f82,axiom,
! [X3,X6] :
( ( ! [X0,X1] :
( ( p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0))))
& p(s(bool,i(s(fun(X3,bool),X6),s(X3,X1)))) )
=> s(X3,X0) = s(X3,X1) )
& ? [X0] : p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0)))) )
<=> ? [X0] :
( p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0))))
& ! [X7] :
( p(s(bool,i(s(fun(X3,bool),X6),s(X3,X7))))
=> s(X3,X0) = s(X3,X7) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aEXISTSu_UNIQUE) ).
fof(f14473,plain,
( spl2410_130
| ~ spl2410_4
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13366,f13303,f13905,f14471]) ).
fof(f14471,plain,
( spl2410_130
<=> ! [X86,X85] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),X86))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))))),s(real,X85))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK2122),real),X86),s(cart(real,sK2122),sK2123))))),s(real,X85))))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK893(X85,X86,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_130])]) ).
fof(f13366,plain,
( ! [X86,X85] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),X86))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))))),s(real,X85))))))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK893(X85,X86,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK2122),real),X86),s(cart(real,sK2122),sK2123))))),s(real,X85)))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f8097]) ).
fof(f8097,plain,
! [X2,X3,X0,X1,X5] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,sK893(X0,X1,X2,X3)))),s(fun(X3,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X2))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(fun(X3,real),real),i(s(fun(fun(X3,bool),fun(fun(X3,real),real)),sum),s(fun(X3,bool),X2))),s(fun(X3,real),X1))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2))))))),s(real,X0))))))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X5))),s(fun(X3,bool),X2))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(X3,real),X1),s(X3,X5))))),s(real,X0)))) ),
inference(cnf_transformation,[],[f5254]) ).
fof(f14469,plain,
( ~ spl2410_7
| spl2410_9
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13657,f13303,f13929,f13920]) ).
fof(f13657,plain,
( ! [X600] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),X600))))
| ~ sP1226(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))
| sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))),s(fun(cart(real,sK2122),bool),X600)) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12108]) ).
fof(f12108,plain,
! [X0,X1,X6,X5] :
( ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X6))))
| ~ sP1226(X1,X0)
| sQ2409_eqProxy(s(X0,X6),s(X0,X5))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X5)))) ),
inference(equality_proxy_replacement,[],[f8772,f10758]) ).
fof(f8772,plain,
! [X0,X1,X6,X5] :
( ~ sP1226(X1,X0)
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X5))))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X6))))
| s(X0,X6) = s(X0,X5) ),
inference(cnf_transformation,[],[f5590]) ).
fof(f14468,plain,
( ~ spl2410_4
| spl2410_129
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13496,f13303,f14466,f13905]) ).
fof(f14466,plain,
( spl2410_129
<=> ! [X366,X367] :
( ~ sQ2409_eqProxy(s(cart(real,sK2122),i(s(fun(cart(real,sK2122),cart(real,sK2122)),X366),s(cart(real,sK2122),sK2123))),s(cart(real,sK2122),i(s(fun(cart(real,sK2122),cart(real,sK2122)),X366),s(cart(real,sK2122),X367))))
| ~ sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),i(s(fun(fun(cart(real,sK2122),cart(real,sK2122)),fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool))),image),s(fun(cart(real,sK2122),cart(real,sK2122)),X366))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),X367))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(cart(real,sK2122),X367),s(cart(real,sK2122),sK2123)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_129])]) ).
fof(f13496,plain,
( ! [X367,X366] :
( ~ sQ2409_eqProxy(s(cart(real,sK2122),i(s(fun(cart(real,sK2122),cart(real,sK2122)),X366),s(cart(real,sK2122),sK2123))),s(cart(real,sK2122),i(s(fun(cart(real,sK2122),cart(real,sK2122)),X366),s(cart(real,sK2122),X367))))
| sQ2409_eqProxy(s(cart(real,sK2122),X367),s(cart(real,sK2122),sK2123))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),X367))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),i(s(fun(fun(cart(real,sK2122),cart(real,sK2122)),fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool))),image),s(fun(cart(real,sK2122),cart(real,sK2122)),X366))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12682]) ).
fof(f12682,plain,
! [X2,X3,X0,X1,X4] :
( ~ sQ2409_eqProxy(s(X2,i(s(fun(X2,X2),X1),s(X2,X4))),s(X2,i(s(fun(X2,X2),X1),s(X2,X3))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X4))),s(fun(X2,bool),X0))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X3))),s(fun(X2,bool),X0))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X0))))
| ~ sQ2409_eqProxy(s(fun(X2,bool),X0),s(fun(X2,bool),i(s(fun(fun(X2,bool),fun(X2,bool)),i(s(fun(fun(X2,X2),fun(fun(X2,bool),fun(X2,bool))),image),s(fun(X2,X2),X1))),s(fun(X2,bool),X0))))
| sQ2409_eqProxy(s(X2,X3),s(X2,X4)) ),
inference(equality_proxy_replacement,[],[f9731,f10758,f10758,f10758]) ).
fof(f9731,plain,
! [X2,X3,X0,X1,X4] :
( s(X2,X3) = s(X2,X4)
| s(X2,i(s(fun(X2,X2),X1),s(X2,X4))) != s(X2,i(s(fun(X2,X2),X1),s(X2,X3)))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X3))),s(fun(X2,bool),X0))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X4))),s(fun(X2,bool),X0))))
| s(fun(X2,bool),X0) != s(fun(X2,bool),i(s(fun(fun(X2,bool),fun(X2,bool)),i(s(fun(fun(X2,X2),fun(fun(X2,bool),fun(X2,bool))),image),s(fun(X2,X2),X1))),s(fun(X2,bool),X0)))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X0)))) ),
inference(cnf_transformation,[],[f6056]) ).
fof(f6056,plain,
! [X1,X0,X2] :
( ~ p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X0))))
| s(fun(X2,bool),X0) != s(fun(X2,bool),i(s(fun(fun(X2,bool),fun(X2,bool)),i(s(fun(fun(X2,X2),fun(fun(X2,bool),fun(X2,bool))),image),s(fun(X2,X2),X1))),s(fun(X2,bool),X0)))
| ! [X3,X4] :
( ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X4))),s(fun(X2,bool),X0))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X3))),s(fun(X2,bool),X0))))
| s(X2,i(s(fun(X2,X2),X1),s(X2,X4))) != s(X2,i(s(fun(X2,X2),X1),s(X2,X3)))
| s(X2,X3) = s(X2,X4) ) ),
inference(flattening,[],[f6055]) ).
fof(f6055,plain,
! [X1,X2,X0] :
( ! [X3,X4] :
( s(X2,X3) = s(X2,X4)
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X4))),s(fun(X2,bool),X0))))
| s(X2,i(s(fun(X2,X2),X1),s(X2,X4))) != s(X2,i(s(fun(X2,X2),X1),s(X2,X3)))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X3))),s(fun(X2,bool),X0)))) )
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X0))))
| s(fun(X2,bool),X0) != s(fun(X2,bool),i(s(fun(fun(X2,bool),fun(X2,bool)),i(s(fun(fun(X2,X2),fun(fun(X2,bool),fun(X2,bool))),image),s(fun(X2,X2),X1))),s(fun(X2,bool),X0))) ),
inference(ennf_transformation,[],[f4204]) ).
fof(f4204,plain,
! [X1,X2,X0] :
( ( p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X0))))
& s(fun(X2,bool),X0) = s(fun(X2,bool),i(s(fun(fun(X2,bool),fun(X2,bool)),i(s(fun(fun(X2,X2),fun(fun(X2,bool),fun(X2,bool))),image),s(fun(X2,X2),X1))),s(fun(X2,bool),X0))) )
=> ! [X3,X4] :
( ( p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X4))),s(fun(X2,bool),X0))))
& s(X2,i(s(fun(X2,X2),X1),s(X2,X4))) = s(X2,i(s(fun(X2,X2),X1),s(X2,X3)))
& p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X3))),s(fun(X2,bool),X0)))) )
=> s(X2,X3) = s(X2,X4) ) ),
inference(rectify,[],[f2039]) ).
fof(f2039,axiom,
! [X96,X10,X570] :
( ( s(fun(X570,bool),X96) = s(fun(X570,bool),i(s(fun(fun(X570,bool),fun(X570,bool)),i(s(fun(fun(X570,X570),fun(fun(X570,bool),fun(X570,bool))),image),s(fun(X570,X570),X10))),s(fun(X570,bool),X96)))
& p(s(bool,i(s(fun(fun(X570,bool),bool),finite),s(fun(X570,bool),X96)))) )
=> ! [X0,X7] :
( ( p(s(bool,i(s(fun(fun(X570,bool),bool),i(s(fun(X570,fun(fun(X570,bool),bool)),in),s(X570,X7))),s(fun(X570,bool),X96))))
& p(s(bool,i(s(fun(fun(X570,bool),bool),i(s(fun(X570,fun(fun(X570,bool),bool)),in),s(X570,X0))),s(fun(X570,bool),X96))))
& s(X570,i(s(fun(X570,X570),X10),s(X570,X0))) = s(X570,i(s(fun(X570,X570),X10),s(X570,X7))) )
=> s(X570,X0) = s(X570,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aIMAGEu_IMPu_INJECTIVE) ).
fof(f14464,plain,
( spl2410_128
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13552,f13303,f14461]) ).
fof(f14461,plain,
( spl2410_128
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2096(cart(real,sK2122),in,fun(cart(real,sK2122),bool))))),s(fun(cart(real,sK2122),bool),sK2097(cart(real,sK2122),in,fun(cart(real,sK2122),bool)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_128])]) ).
fof(f13552,plain,
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2096(cart(real,sK2122),in,fun(cart(real,sK2122),bool))))),s(fun(cart(real,sK2122),bool),sK2097(cart(real,sK2122),in,fun(cart(real,sK2122),bool))))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f10183]) ).
fof(f10183,plain,
! [X2,X3,X0,X1,X4] :
( p(s(bool,i(s(fun(X2,bool),i(s(fun(X0,fun(X2,bool)),X1),s(X0,sK2096(X0,X1,X2)))),s(X2,sK2097(X0,X1,X2)))))
| ~ p(s(bool,i(s(fun(X2,bool),i(s(fun(X0,fun(X2,bool)),X1),s(X0,X3))),s(X2,X4)))) ),
inference(cnf_transformation,[],[f3970]) ).
fof(f3970,plain,
! [X0,X1,X2] :
( ? [X6,X5] : p(s(bool,i(s(fun(X2,bool),i(s(fun(X0,fun(X2,bool)),X1),s(X0,X6))),s(X2,X5))))
<=> ? [X4,X3] : p(s(bool,i(s(fun(X2,bool),i(s(fun(X0,fun(X2,bool)),X1),s(X0,X3))),s(X2,X4)))) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X3,X6,X9] :
( ? [X0,X7] : p(s(bool,i(s(fun(X9,bool),i(s(fun(X3,fun(X9,bool)),X6),s(X3,X0))),s(X9,X7))))
<=> ? [X7,X0] : p(s(bool,i(s(fun(X9,bool),i(s(fun(X3,fun(X9,bool)),X6),s(X3,X0))),s(X9,X7)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSWAPu_EXISTSu_THM) ).
fof(f14459,plain,
( ~ spl2410_10
| spl2410_53
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13559,f13303,f14117,f13932]) ).
fof(f13932,plain,
( spl2410_10
<=> sP983(sK2123,fun(cart(real,sK2122),bool),cart(real,sK2122),in) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_10])]) ).
fof(f13559,plain,
( ! [X480] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),X480))))
| ~ sP983(sK2123,fun(cart(real,sK2122),bool),cart(real,sK2122),in)
| sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),X480),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f11846]) ).
fof(f11846,plain,
! [X2,X3,X0,X1,X6,X5] :
( ~ p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,X6))))
| sQ2409_eqProxy(s(X2,X5),s(X2,X6))
| ~ sP983(X3,X2,X1,X0)
| ~ p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,X5)))) ),
inference(equality_proxy_replacement,[],[f8294,f10758]) ).
fof(f8294,plain,
! [X2,X3,X0,X1,X6,X5] :
( ~ p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,X6))))
| ~ p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,X5))))
| s(X2,X5) = s(X2,X6)
| ~ sP983(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f5885]) ).
fof(f5885,plain,
! [X2,X1,X0] :
( ! [X3] :
( ? [X4] : p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,X4))))
& ! [X5,X6] :
( s(X2,X5) = s(X2,X6)
| ~ p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,X5))))
| ~ p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,X6)))) ) )
<=> ( ! [X8,X7] :
( ? [X10] : ~ p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X10))),s(X2,i(s(fun(X1,X2),X8),s(X1,X10))))))
| s(fun(X1,X2),X8) = s(fun(X1,X2),X7)
| ? [X9] : ~ p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X9))),s(X2,i(s(fun(X1,X2),X7),s(X1,X9)))))) )
& ? [X11] :
! [X12] : p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X12))),s(X2,i(s(fun(X1,X2),X11),s(X1,X12)))))) ) ),
inference(flattening,[],[f5884]) ).
fof(f5884,plain,
! [X2,X1,X0] :
( ( ! [X7,X8] :
( s(fun(X1,X2),X8) = s(fun(X1,X2),X7)
| ? [X9] : ~ p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X9))),s(X2,i(s(fun(X1,X2),X7),s(X1,X9))))))
| ? [X10] : ~ p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X10))),s(X2,i(s(fun(X1,X2),X8),s(X1,X10)))))) )
& ? [X11] :
! [X12] : p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X12))),s(X2,i(s(fun(X1,X2),X11),s(X1,X12)))))) )
<=> ! [X3] :
( ! [X6,X5] :
( s(X2,X5) = s(X2,X6)
| ~ p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,X6))))
| ~ p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,X5)))) )
& ? [X4] : p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,X4)))) ) ),
inference(ennf_transformation,[],[f4000]) ).
fof(f4000,plain,
! [X2,X1,X0] :
( ( ! [X7,X8] :
( ( ! [X9] : p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X9))),s(X2,i(s(fun(X1,X2),X7),s(X1,X9))))))
& ! [X10] : p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X10))),s(X2,i(s(fun(X1,X2),X8),s(X1,X10)))))) )
=> s(fun(X1,X2),X8) = s(fun(X1,X2),X7) )
& ? [X11] :
! [X12] : p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X12))),s(X2,i(s(fun(X1,X2),X11),s(X1,X12)))))) )
<=> ! [X3] :
( ! [X6,X5] :
( ( p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,X6))))
& p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,X5)))) )
=> s(X2,X5) = s(X2,X6) )
& ? [X4] : p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,X4)))) ) ),
inference(rectify,[],[f127]) ).
fof(f127,axiom,
! [X6,X3,X9] :
( ! [X0] :
( ? [X7] : p(s(bool,i(s(fun(X9,bool),i(s(fun(X3,fun(X9,bool)),X6),s(X3,X0))),s(X9,X7))))
& ! [X1,X7] :
( ( p(s(bool,i(s(fun(X9,bool),i(s(fun(X3,fun(X9,bool)),X6),s(X3,X0))),s(X9,X1))))
& p(s(bool,i(s(fun(X9,bool),i(s(fun(X3,fun(X9,bool)),X6),s(X3,X0))),s(X9,X7)))) )
=> s(X9,X7) = s(X9,X1) ) )
<=> ( ! [X10,X1] :
( ( ! [X0] : p(s(bool,i(s(fun(X9,bool),i(s(fun(X3,fun(X9,bool)),X6),s(X3,X0))),s(X9,i(s(fun(X3,X9),X10),s(X3,X0))))))
& ! [X0] : p(s(bool,i(s(fun(X9,bool),i(s(fun(X3,fun(X9,bool)),X6),s(X3,X0))),s(X9,i(s(fun(X3,X9),X1),s(X3,X0)))))) )
=> s(fun(X3,X9),X10) = s(fun(X3,X9),X1) )
& ? [X10] :
! [X0] : p(s(bool,i(s(fun(X9,bool),i(s(fun(X3,fun(X9,bool)),X6),s(X3,X0))),s(X9,i(s(fun(X3,X9),X10),s(X3,X0)))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aUNIQUEu_SKOLEMu_THM) ).
fof(f14458,plain,
( spl2410_127
| ~ spl2410_50
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13666,f13303,f14105,f14455]) ).
fof(f14455,plain,
( spl2410_127
<=> sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))),s(fun(cart(real,sK2122),bool),sK1279(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_127])]) ).
fof(f13666,plain,
( ~ sP1275(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))
| sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))),s(fun(cart(real,sK2122),bool),sK1279(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12137]) ).
fof(f12137,plain,
! [X0,X1,X6] :
( ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X6))))
| ~ sP1275(X1,X0)
| sQ2409_eqProxy(s(X0,X6),s(X0,sK1279(X0,X1))) ),
inference(equality_proxy_replacement,[],[f8839,f10758]) ).
fof(f8839,plain,
! [X0,X1,X6] :
( s(X0,X6) = s(X0,sK1279(X0,X1))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X6))))
| ~ sP1275(X1,X0) ),
inference(cnf_transformation,[],[f6417]) ).
fof(f14453,plain,
( ~ spl2410_4
| spl2410_126
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13426,f13303,f14451,f13905]) ).
fof(f14451,plain,
( spl2410_126
<=> ! [X198,X197,X196] :
( ~ sQ2409_eqProxy(s(cart(real,sK2122),sK115(X196,cart(real,sK2122),X197)),s(cart(real,sK2122),sK114(X196,cart(real,sK2122),X197)))
| ~ sQ2409_eqProxy(s(cart(real,X196),i(s(fun(cart(real,X196),cart(real,X196)),i(s(fun(cart(real,X196),fun(cart(real,X196),cart(real,X196))),i(s(fun(bool,fun(cart(real,X196),fun(cart(real,X196),cart(real,X196)))),cond),s(bool,X198))),s(cart(real,X196),y))),s(cart(real,X196),i(s(fun(cart(real,sK2122),cart(real,X196)),f),s(cart(real,sK2122),sK115(X196,cart(real,sK2122),X197)))))),s(cart(real,X196),i(s(fun(cart(real,sK2122),cart(real,X196)),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),cart(real,X196))),X197),s(cart(real,sK2122),sK114(X196,cart(real,sK2122),X197)))),s(cart(real,sK2122),sK115(X196,cart(real,sK2122),X197)))))
| sQ2409_eqProxy(s(cart(real,X196),i(s(fun(fun(cart(real,sK2122),cart(real,X196)),cart(real,X196)),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),cart(real,X196)),cart(real,X196))),vsum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),cart(real,X196)),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),cart(real,X196))),X197),s(cart(real,sK2122),sK2123))))),s(cart(real,X196),i(s(fun(cart(real,X196),cart(real,X196)),i(s(fun(cart(real,X196),fun(cart(real,X196),cart(real,X196))),vectoru_add),s(cart(real,X196),i(s(fun(fun(cart(real,sK2122),cart(real,X196)),cart(real,X196)),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),cart(real,X196)),cart(real,X196))),vsum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),cart(real,X196)),f))))),s(cart(real,X196),i(s(fun(cart(real,X196),cart(real,X196)),i(s(fun(cart(real,X196),fun(cart(real,X196),cart(real,X196))),vectoru_sub),s(cart(real,X196),y))),s(cart(real,X196),i(s(fun(cart(real,sK2122),cart(real,X196)),f),s(cart(real,sK2122),sK2123))))))))
| ~ p(s(bool,X198)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_126])]) ).
fof(f13426,plain,
( ! [X198,X196,X197] :
( ~ sQ2409_eqProxy(s(cart(real,sK2122),sK115(X196,cart(real,sK2122),X197)),s(cart(real,sK2122),sK114(X196,cart(real,sK2122),X197)))
| ~ p(s(bool,X198))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(cart(real,X196),i(s(fun(fun(cart(real,sK2122),cart(real,X196)),cart(real,X196)),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),cart(real,X196)),cart(real,X196))),vsum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),cart(real,X196)),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),cart(real,X196))),X197),s(cart(real,sK2122),sK2123))))),s(cart(real,X196),i(s(fun(cart(real,X196),cart(real,X196)),i(s(fun(cart(real,X196),fun(cart(real,X196),cart(real,X196))),vectoru_add),s(cart(real,X196),i(s(fun(fun(cart(real,sK2122),cart(real,X196)),cart(real,X196)),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),cart(real,X196)),cart(real,X196))),vsum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),cart(real,X196)),f))))),s(cart(real,X196),i(s(fun(cart(real,X196),cart(real,X196)),i(s(fun(cart(real,X196),fun(cart(real,X196),cart(real,X196))),vectoru_sub),s(cart(real,X196),y))),s(cart(real,X196),i(s(fun(cart(real,sK2122),cart(real,X196)),f),s(cart(real,sK2122),sK2123))))))))
| ~ sQ2409_eqProxy(s(cart(real,X196),i(s(fun(cart(real,X196),cart(real,X196)),i(s(fun(cart(real,X196),fun(cart(real,X196),cart(real,X196))),i(s(fun(bool,fun(cart(real,X196),fun(cart(real,X196),cart(real,X196)))),cond),s(bool,X198))),s(cart(real,X196),y))),s(cart(real,X196),i(s(fun(cart(real,sK2122),cart(real,X196)),f),s(cart(real,sK2122),sK115(X196,cart(real,sK2122),X197)))))),s(cart(real,X196),i(s(fun(cart(real,sK2122),cart(real,X196)),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),cart(real,X196))),X197),s(cart(real,sK2122),sK114(X196,cart(real,sK2122),X197)))),s(cart(real,sK2122),sK115(X196,cart(real,sK2122),X197))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f10905]) ).
fof(f10905,plain,
! [X2,X0,X1,X6,X7,X5] :
( sQ2409_eqProxy(s(cart(real,X0),i(s(fun(fun(X1,cart(real,X0)),cart(real,X0)),i(s(fun(fun(X1,bool),fun(fun(X1,cart(real,X0)),cart(real,X0))),vsum),s(fun(X1,bool),X6))),s(fun(X1,cart(real,X0)),i(s(fun(X1,fun(X1,cart(real,X0))),X2),s(X1,X7))))),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),i(s(fun(fun(X1,cart(real,X0)),cart(real,X0)),i(s(fun(fun(X1,bool),fun(fun(X1,cart(real,X0)),cart(real,X0))),vsum),s(fun(X1,bool),X6))),s(fun(X1,cart(real,X0)),f))))),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_sub),s(cart(real,X0),y))),s(cart(real,X0),i(s(fun(X1,cart(real,X0)),f),s(X1,X7))))))))
| ~ sQ2409_eqProxy(s(X1,sK115(X0,X1,X2)),s(X1,sK114(X0,X1,X2)))
| ~ p(s(bool,X5))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X7))),s(fun(X1,bool),X6))))
| ~ sQ2409_eqProxy(s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),i(s(fun(bool,fun(cart(real,X0),fun(cart(real,X0),cart(real,X0)))),cond),s(bool,X5))),s(cart(real,X0),y))),s(cart(real,X0),i(s(fun(X1,cart(real,X0)),f),s(X1,sK115(X0,X1,X2)))))),s(cart(real,X0),i(s(fun(X1,cart(real,X0)),i(s(fun(X1,fun(X1,cart(real,X0))),X2),s(X1,sK114(X0,X1,X2)))),s(X1,sK115(X0,X1,X2)))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X6)))) ),
inference(equality_proxy_replacement,[],[f6653,f10758,f10758,f10758]) ).
fof(f6653,plain,
! [X2,X0,X1,X6,X7,X5] :
( s(cart(real,X0),i(s(fun(fun(X1,cart(real,X0)),cart(real,X0)),i(s(fun(fun(X1,bool),fun(fun(X1,cart(real,X0)),cart(real,X0))),vsum),s(fun(X1,bool),X6))),s(fun(X1,cart(real,X0)),i(s(fun(X1,fun(X1,cart(real,X0))),X2),s(X1,X7))))) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),i(s(fun(fun(X1,cart(real,X0)),cart(real,X0)),i(s(fun(fun(X1,bool),fun(fun(X1,cart(real,X0)),cart(real,X0))),vsum),s(fun(X1,bool),X6))),s(fun(X1,cart(real,X0)),f))))),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_sub),s(cart(real,X0),y))),s(cart(real,X0),i(s(fun(X1,cart(real,X0)),f),s(X1,X7)))))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X6))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X7))),s(fun(X1,bool),X6))))
| ~ p(s(bool,X5))
| s(X1,sK115(X0,X1,X2)) != s(X1,sK114(X0,X1,X2))
| s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),i(s(fun(bool,fun(cart(real,X0),fun(cart(real,X0),cart(real,X0)))),cond),s(bool,X5))),s(cart(real,X0),y))),s(cart(real,X0),i(s(fun(X1,cart(real,X0)),f),s(X1,sK115(X0,X1,X2)))))) != s(cart(real,X0),i(s(fun(X1,cart(real,X0)),i(s(fun(X1,fun(X1,cart(real,X0))),X2),s(X1,sK114(X0,X1,X2)))),s(X1,sK115(X0,X1,X2)))) ),
inference(cnf_transformation,[],[f5233]) ).
fof(f5233,plain,
! [X1,X2,X0] :
( ? [X4,X3] :
! [X5] :
( s(cart(real,X0),i(s(fun(X1,cart(real,X0)),i(s(fun(X1,fun(X1,cart(real,X0))),X2),s(X1,X4))),s(X1,X3))) != s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),i(s(fun(bool,fun(cart(real,X0),fun(cart(real,X0),cart(real,X0)))),cond),s(bool,X5))),s(cart(real,X0),y))),s(cart(real,X0),i(s(fun(X1,cart(real,X0)),f),s(X1,X3)))))
| ( s(X1,X4) = s(X1,X3)
<~> p(s(bool,X5)) ) )
| ! [X6,X7] :
( ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X7))),s(fun(X1,bool),X6))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X6))))
| s(cart(real,X0),i(s(fun(fun(X1,cart(real,X0)),cart(real,X0)),i(s(fun(fun(X1,bool),fun(fun(X1,cart(real,X0)),cart(real,X0))),vsum),s(fun(X1,bool),X6))),s(fun(X1,cart(real,X0)),i(s(fun(X1,fun(X1,cart(real,X0))),X2),s(X1,X7))))) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),i(s(fun(fun(X1,cart(real,X0)),cart(real,X0)),i(s(fun(fun(X1,bool),fun(fun(X1,cart(real,X0)),cart(real,X0))),vsum),s(fun(X1,bool),X6))),s(fun(X1,cart(real,X0)),f))))),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_sub),s(cart(real,X0),y))),s(cart(real,X0),i(s(fun(X1,cart(real,X0)),f),s(X1,X7))))))) ) ),
inference(flattening,[],[f5232]) ).
fof(f5232,plain,
! [X2,X0,X1] :
( ! [X7,X6] :
( s(cart(real,X0),i(s(fun(fun(X1,cart(real,X0)),cart(real,X0)),i(s(fun(fun(X1,bool),fun(fun(X1,cart(real,X0)),cart(real,X0))),vsum),s(fun(X1,bool),X6))),s(fun(X1,cart(real,X0)),i(s(fun(X1,fun(X1,cart(real,X0))),X2),s(X1,X7))))) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),i(s(fun(fun(X1,cart(real,X0)),cart(real,X0)),i(s(fun(fun(X1,bool),fun(fun(X1,cart(real,X0)),cart(real,X0))),vsum),s(fun(X1,bool),X6))),s(fun(X1,cart(real,X0)),f))))),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_sub),s(cart(real,X0),y))),s(cart(real,X0),i(s(fun(X1,cart(real,X0)),f),s(X1,X7)))))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X7))),s(fun(X1,bool),X6))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X6)))) )
| ? [X4,X3] :
! [X5] :
( s(cart(real,X0),i(s(fun(X1,cart(real,X0)),i(s(fun(X1,fun(X1,cart(real,X0))),X2),s(X1,X4))),s(X1,X3))) != s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),i(s(fun(bool,fun(cart(real,X0),fun(cart(real,X0),cart(real,X0)))),cond),s(bool,X5))),s(cart(real,X0),y))),s(cart(real,X0),i(s(fun(X1,cart(real,X0)),f),s(X1,X3)))))
| ( s(X1,X4) = s(X1,X3)
<~> p(s(bool,X5)) ) ) ),
inference(ennf_transformation,[],[f3629]) ).
fof(f3629,plain,
! [X2,X0,X1] :
( ! [X4,X3] :
? [X5] :
( ( p(s(bool,X5))
<=> s(X1,X4) = s(X1,X3) )
& s(cart(real,X0),i(s(fun(X1,cart(real,X0)),i(s(fun(X1,fun(X1,cart(real,X0))),X2),s(X1,X4))),s(X1,X3))) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),i(s(fun(bool,fun(cart(real,X0),fun(cart(real,X0),cart(real,X0)))),cond),s(bool,X5))),s(cart(real,X0),y))),s(cart(real,X0),i(s(fun(X1,cart(real,X0)),f),s(X1,X3))))) )
=> ! [X7,X6] :
( ( p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X7))),s(fun(X1,bool),X6))))
& p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X6)))) )
=> s(cart(real,X0),i(s(fun(fun(X1,cart(real,X0)),cart(real,X0)),i(s(fun(fun(X1,bool),fun(fun(X1,cart(real,X0)),cart(real,X0))),vsum),s(fun(X1,bool),X6))),s(fun(X1,cart(real,X0)),i(s(fun(X1,fun(X1,cart(real,X0))),X2),s(X1,X7))))) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),i(s(fun(fun(X1,cart(real,X0)),cart(real,X0)),i(s(fun(fun(X1,bool),fun(fun(X1,cart(real,X0)),cart(real,X0))),vsum),s(fun(X1,bool),X6))),s(fun(X1,cart(real,X0)),f))))),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_sub),s(cart(real,X0),y))),s(cart(real,X0),i(s(fun(X1,cart(real,X0)),f),s(X1,X7))))))) ) ),
inference(rectify,[],[f2980]) ).
fof(f2980,axiom,
! [X1153,X1154,X18] :
( ! [X0,X15] :
? [X24] :
( s(cart(real,X1153),i(s(fun(X1154,cart(real,X1153)),i(s(fun(X1154,fun(X1154,cart(real,X1153))),X18),s(X1154,X15))),s(X1154,X0))) = s(cart(real,X1153),i(s(fun(cart(real,X1153),cart(real,X1153)),i(s(fun(cart(real,X1153),fun(cart(real,X1153),cart(real,X1153))),i(s(fun(bool,fun(cart(real,X1153),fun(cart(real,X1153),cart(real,X1153)))),cond),s(bool,X24))),s(cart(real,X1153),y))),s(cart(real,X1153),i(s(fun(X1154,cart(real,X1153)),f),s(X1154,X0)))))
& ( p(s(bool,X24))
<=> s(X1154,X0) = s(X1154,X15) ) )
=> ! [X96,X15] :
( ( p(s(bool,i(s(fun(fun(X1154,bool),bool),finite),s(fun(X1154,bool),X96))))
& p(s(bool,i(s(fun(fun(X1154,bool),bool),i(s(fun(X1154,fun(fun(X1154,bool),bool)),in),s(X1154,X15))),s(fun(X1154,bool),X96)))) )
=> s(cart(real,X1153),i(s(fun(fun(X1154,cart(real,X1153)),cart(real,X1153)),i(s(fun(fun(X1154,bool),fun(fun(X1154,cart(real,X1153)),cart(real,X1153))),vsum),s(fun(X1154,bool),X96))),s(fun(X1154,cart(real,X1153)),i(s(fun(X1154,fun(X1154,cart(real,X1153))),X18),s(X1154,X15))))) = s(cart(real,X1153),i(s(fun(cart(real,X1153),cart(real,X1153)),i(s(fun(cart(real,X1153),fun(cart(real,X1153),cart(real,X1153))),vectoru_add),s(cart(real,X1153),i(s(fun(fun(X1154,cart(real,X1153)),cart(real,X1153)),i(s(fun(fun(X1154,bool),fun(fun(X1154,cart(real,X1153)),cart(real,X1153))),vsum),s(fun(X1154,bool),X96))),s(fun(X1154,cart(real,X1153)),f))))),s(cart(real,X1153),i(s(fun(cart(real,X1153),cart(real,X1153)),i(s(fun(cart(real,X1153),fun(cart(real,X1153),cart(real,X1153))),vectoru_sub),s(cart(real,X1153),y))),s(cart(real,X1153),i(s(fun(X1154,cart(real,X1153)),f),s(X1154,X15))))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aVSUMu_CASESu_1) ).
fof(f14449,plain,
( spl2410_9
| spl2410_72
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13670,f13303,f14204,f13929]) ).
fof(f14204,plain,
( spl2410_72
<=> ! [X621] : ~ sP1845(X621,i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_72])]) ).
fof(f13670,plain,
( ! [X618,X619] :
( ~ sP1845(X619,i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))
| sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))),s(fun(cart(real,sK2122),bool),X618))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),X618)))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12692]) ).
fof(f12692,plain,
! [X3,X0,X1,X4,X5] :
( ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X4))))
| sQ2409_eqProxy(s(X0,X4),s(X0,X3))
| ~ sP1845(X5,X1,X0)
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3)))) ),
inference(equality_proxy_replacement,[],[f9750,f10758]) ).
fof(f9750,plain,
! [X3,X0,X1,X4,X5] :
( ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X4))))
| s(X0,X4) = s(X0,X3)
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3))))
| ~ sP1845(X5,X1,X0) ),
inference(cnf_transformation,[],[f5705]) ).
fof(f5705,plain,
! [X0,X1] :
( ? [X5] :
! [X6] :
( s(X0,X6) = s(X0,X5)
<=> p(s(bool,i(s(fun(X0,bool),X1),s(X0,X6)))) )
<=> ( ? [X2] : p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))
& ! [X3,X4] :
( ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3))))
| s(X0,X4) = s(X0,X3)
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X4)))) ) ) ),
inference(flattening,[],[f5704]) ).
fof(f5704,plain,
! [X1,X0] :
( ? [X5] :
! [X6] :
( s(X0,X6) = s(X0,X5)
<=> p(s(bool,i(s(fun(X0,bool),X1),s(X0,X6)))) )
<=> ( ? [X2] : p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))
& ! [X4,X3] :
( s(X0,X4) = s(X0,X3)
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3))))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X4)))) ) ) ),
inference(ennf_transformation,[],[f3958]) ).
fof(f3958,plain,
! [X1,X0] :
( ? [X5] :
! [X6] :
( s(X0,X6) = s(X0,X5)
<=> p(s(bool,i(s(fun(X0,bool),X1),s(X0,X6)))) )
<=> ( ? [X2] : p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))
& ! [X4,X3] :
( ( p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3))))
& p(s(bool,i(s(fun(X0,bool),X1),s(X0,X4)))) )
=> s(X0,X4) = s(X0,X3) ) ) ),
inference(rectify,[],[f80]) ).
fof(f80,axiom,
! [X3,X6] :
( ( ? [X0] : p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0))))
& ! [X0,X1] :
( ( p(s(bool,i(s(fun(X3,bool),X6),s(X3,X1))))
& p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0)))) )
=> s(X3,X0) = s(X3,X1) ) )
<=> ? [X0] :
! [X7] :
( p(s(bool,i(s(fun(X3,bool),X6),s(X3,X7))))
<=> s(X3,X0) = s(X3,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aEXISTSu_UNIQUEu_ALT) ).
fof(f14448,plain,
( spl2410_125
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13619,f13303,f14445]) ).
fof(f14445,plain,
( spl2410_125
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK1964(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_125])]) ).
fof(f13619,plain,
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK1964(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f9949]) ).
fof(f9949,plain,
! [X3,X0,X1] :
( p(s(bool,i(s(fun(X1,bool),X0),s(X1,sK1964(X0,X1)))))
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X3)))) ),
inference(cnf_transformation,[],[f6045]) ).
fof(f6045,plain,
! [X0,X1] :
( ! [X3] : ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X3))))
<=> ! [X2] : ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X2)))) ),
inference(ennf_transformation,[],[f3992]) ).
fof(f3992,plain,
! [X1,X0] :
( ! [X3] : ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X3))))
<=> ~ ? [X2] : p(s(bool,i(s(fun(X1,bool),X0),s(X1,X2)))) ),
inference(rectify,[],[f105]) ).
fof(f105,axiom,
! [X6,X3] :
( ~ ? [X0] : p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0))))
<=> ! [X0] : ~ p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aFORALLu_NOTu_THM) ).
fof(f14443,plain,
( spl2410_81
| spl2410_124
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13616,f13303,f14440,f14246]) ).
fof(f14246,plain,
( spl2410_81
<=> sP1845(sK1844(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_81])]) ).
fof(f14440,plain,
( spl2410_124
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK1846(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_124])]) ).
fof(f13616,plain,
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK1846(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))))))
| sP1845(sK1844(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f9749]) ).
fof(f9749,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(X0,bool),X1),s(X0,sK1846(X0,X1)))))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))
| sP1845(sK1844(X0,X1),X1,X0) ),
inference(cnf_transformation,[],[f5705]) ).
fof(f14438,plain,
( spl2410_50
| spl2410_123
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13611,f13303,f14435,f14105]) ).
fof(f14435,plain,
( spl2410_123
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK1277(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_123])]) ).
fof(f13611,plain,
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK1277(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))))))
| sP1275(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f8846]) ).
fof(f8846,plain,
! [X0,X1,X4] :
( sP1275(X1,X0)
| p(s(bool,i(s(fun(X0,bool),X1),s(X0,sK1277(X0,X1)))))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X4)))) ),
inference(cnf_transformation,[],[f6417]) ).
fof(f14433,plain,
( ~ spl2410_4
| spl2410_122
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13360,f13303,f14431,f13905]) ).
fof(f14431,plain,
( spl2410_122
<=> ! [X73,X72] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK2122),real),X72),s(cart(real,sK2122),sK2123))))),s(real,i(s(fun(cart(real,sK2122),real),X73),s(cart(real,sK2122),sK2123))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),X72))))),s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),X73))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK2122),real),X72),s(cart(real,sK2122),sK693(i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122),X72,X73)))))),s(real,i(s(fun(cart(real,sK2122),real),X73),s(cart(real,sK2122),sK693(i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122),X72,X73))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_122])]) ).
fof(f13360,plain,
( ! [X72,X73] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK2122),real),X72),s(cart(real,sK2122),sK2123))))),s(real,i(s(fun(cart(real,sK2122),real),X73),s(cart(real,sK2122),sK2123))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK2122),real),X72),s(cart(real,sK2122),sK693(i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122),X72,X73)))))),s(real,i(s(fun(cart(real,sK2122),real),X73),s(cart(real,sK2122),sK693(i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122),X72,X73)))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),X72))))),s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),X73)))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f7777]) ).
fof(f7777,plain,
! [X2,X3,X0,X1,X5] :
( ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X0))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X5))),s(fun(X1,bool),X0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(fun(X1,real),real),i(s(fun(fun(X1,bool),fun(fun(X1,real),real)),sum),s(fun(X1,bool),X0))),s(fun(X1,real),X2))))),s(real,i(s(fun(fun(X1,real),real),i(s(fun(fun(X1,bool),fun(fun(X1,real),real)),sum),s(fun(X1,bool),X0))),s(fun(X1,real),X3))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X1,real),X2),s(X1,sK693(X0,X1,X2,X3)))))),s(real,i(s(fun(X1,real),X3),s(X1,sK693(X0,X1,X2,X3)))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(X1,real),X2),s(X1,X5))))),s(real,i(s(fun(X1,real),X3),s(X1,X5)))))) ),
inference(cnf_transformation,[],[f5247]) ).
fof(f5247,plain,
! [X0,X3,X1,X2] :
( ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X0))))
| ? [X4] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X1,real),X2),s(X1,X4))))),s(real,i(s(fun(X1,real),X3),s(X1,X4))))))
& p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X4))),s(fun(X1,bool),X0)))) )
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(fun(X1,real),real),i(s(fun(fun(X1,bool),fun(fun(X1,real),real)),sum),s(fun(X1,bool),X0))),s(fun(X1,real),X2))))),s(real,i(s(fun(fun(X1,real),real),i(s(fun(fun(X1,bool),fun(fun(X1,real),real)),sum),s(fun(X1,bool),X0))),s(fun(X1,real),X3))))))
| ! [X5] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(X1,real),X2),s(X1,X5))))),s(real,i(s(fun(X1,real),X3),s(X1,X5))))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X5))),s(fun(X1,bool),X0)))) ) ),
inference(flattening,[],[f5246]) ).
fof(f5246,plain,
! [X1,X0,X3,X2] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(fun(X1,real),real),i(s(fun(fun(X1,bool),fun(fun(X1,real),real)),sum),s(fun(X1,bool),X0))),s(fun(X1,real),X2))))),s(real,i(s(fun(fun(X1,real),real),i(s(fun(fun(X1,bool),fun(fun(X1,real),real)),sum),s(fun(X1,bool),X0))),s(fun(X1,real),X3))))))
| ! [X5] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(X1,real),X2),s(X1,X5))))),s(real,i(s(fun(X1,real),X3),s(X1,X5))))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X5))),s(fun(X1,bool),X0)))) )
| ? [X4] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X1,real),X2),s(X1,X4))))),s(real,i(s(fun(X1,real),X3),s(X1,X4))))))
& p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X4))),s(fun(X1,bool),X0)))) )
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X0)))) ),
inference(ennf_transformation,[],[f4286]) ).
fof(f4286,plain,
! [X1,X0,X3,X2] :
( ( ? [X5] :
( p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X5))),s(fun(X1,bool),X0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(X1,real),X2),s(X1,X5))))),s(real,i(s(fun(X1,real),X3),s(X1,X5)))))) )
& ! [X4] :
( p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X4))),s(fun(X1,bool),X0))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X1,real),X2),s(X1,X4))))),s(real,i(s(fun(X1,real),X3),s(X1,X4)))))) )
& p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X0)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(fun(X1,real),real),i(s(fun(fun(X1,bool),fun(fun(X1,real),real)),sum),s(fun(X1,bool),X0))),s(fun(X1,real),X2))))),s(real,i(s(fun(fun(X1,real),real),i(s(fun(fun(X1,bool),fun(fun(X1,real),real)),sum),s(fun(X1,bool),X0))),s(fun(X1,real),X3)))))) ),
inference(rectify,[],[f2275]) ).
fof(f2275,axiom,
! [X96,X3,X10,X17] :
( ( p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X96))))
& ! [X0] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X3,real),X10),s(X3,X0))))),s(real,i(s(fun(X3,real),X17),s(X3,X0)))))) )
& ? [X0] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(X3,real),X10),s(X3,X0))))),s(real,i(s(fun(X3,real),X17),s(X3,X0))))))
& p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96)))) ) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(fun(X3,real),real),i(s(fun(fun(X3,bool),fun(fun(X3,real),real)),sum),s(fun(X3,bool),X96))),s(fun(X3,real),X10))))),s(real,i(s(fun(fun(X3,real),real),i(s(fun(fun(X3,bool),fun(fun(X3,real),real)),sum),s(fun(X3,bool),X96))),s(fun(X3,real),X17)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSUMu_LT) ).
fof(f14429,plain,
( spl2410_121
| spl2410_10
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13545,f13303,f13932,f14426]) ).
fof(f14426,plain,
( spl2410_121
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK989(in,cart(real,sK2122),fun(cart(real,sK2122),bool),sK2123))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_121])]) ).
fof(f13545,plain,
( sP983(sK2123,fun(cart(real,sK2122),bool),cart(real,sK2122),in)
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK989(in,cart(real,sK2122),fun(cart(real,sK2122),bool),sK2123)))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f8295]) ).
fof(f8295,plain,
! [X2,X3,X0,X1,X4] :
( ~ p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,X4))))
| p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,sK989(X0,X1,X2,X3)))))
| sP983(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f5885]) ).
fof(f14424,plain,
( spl2410_120
| spl2410_81
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13615,f13303,f14246,f14421]) ).
fof(f14421,plain,
( spl2410_120
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK1847(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_120])]) ).
fof(f13615,plain,
( sP1845(sK1844(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK1847(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f9747]) ).
fof(f9747,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))
| sP1845(sK1844(X0,X1),X1,X0)
| p(s(bool,i(s(fun(X0,bool),X1),s(X0,sK1847(X0,X1))))) ),
inference(cnf_transformation,[],[f5705]) ).
fof(f14419,plain,
( ~ spl2410_4
| spl2410_119
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13486,f13303,f14417,f13905]) ).
fof(f14417,plain,
( spl2410_119
<=> ! [X344,X343,X342] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),X342))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(cart(real,sK2122),X342),s(cart(real,sK2122),sK2123))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(X343,bool),num),card),s(fun(X343,bool),X344))),s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ sQ2409_eqProxy(s(X343,i(s(fun(cart(real,sK2122),X343),sK1299(cart(real,sK2122),X344,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X343)),s(cart(real,sK2122),X342))),s(X343,i(s(fun(cart(real,sK2122),X343),sK1299(cart(real,sK2122),X344,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X343)),s(cart(real,sK2122),sK2123))))
| ~ p(s(bool,i(s(fun(fun(X343,bool),bool),finite),s(fun(X343,bool),X344)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_119])]) ).
fof(f13486,plain,
( ! [X343,X342,X344] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),X342))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(X343,bool),bool),finite),s(fun(X343,bool),X344))))
| ~ sQ2409_eqProxy(s(X343,i(s(fun(cart(real,sK2122),X343),sK1299(cart(real,sK2122),X344,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X343)),s(cart(real,sK2122),X342))),s(X343,i(s(fun(cart(real,sK2122),X343),sK1299(cart(real,sK2122),X344,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X343)),s(cart(real,sK2122),sK2123))))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(X343,bool),num),card),s(fun(X343,bool),X344))),s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(cart(real,sK2122),X342),s(cart(real,sK2122),sK2123)) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12150]) ).
fof(f12150,plain,
! [X2,X3,X0,X1,X8,X7] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X7))),s(fun(X0,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X2))))
| sQ2409_eqProxy(s(X0,X8),s(X0,X7))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X1))),s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X8))),s(fun(X0,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X1))))
| ~ sQ2409_eqProxy(s(X3,i(s(fun(X0,X3),sK1299(X0,X1,X2,X3)),s(X0,X8))),s(X3,i(s(fun(X0,X3),sK1299(X0,X1,X2,X3)),s(X0,X7)))) ),
inference(equality_proxy_replacement,[],[f8875,f10758,f10758,f10758]) ).
fof(f8875,plain,
! [X2,X3,X0,X1,X8,X7] :
( ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X1))))
| s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X1))) != s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X2)))
| s(X3,i(s(fun(X0,X3),sK1299(X0,X1,X2,X3)),s(X0,X8))) != s(X3,i(s(fun(X0,X3),sK1299(X0,X1,X2,X3)),s(X0,X7)))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X7))),s(fun(X0,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X8))),s(fun(X0,bool),X2))))
| s(X0,X8) = s(X0,X7)
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X2)))) ),
inference(cnf_transformation,[],[f6221]) ).
fof(f6221,plain,
! [X1,X2,X3,X0] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X2))))
| ? [X4] :
( ! [X9] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X9))),s(fun(X0,bool),X2))))
| p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,i(s(fun(X0,X3),X4),s(X0,X9))))),s(fun(X3,bool),X1)))) )
& ! [X5] :
( ? [X6] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X6))),s(fun(X0,bool),X2))))
& s(X3,X5) = s(X3,i(s(fun(X0,X3),X4),s(X0,X6))) )
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X5))),s(fun(X3,bool),X1)))) )
& ! [X7,X8] :
( s(X0,X8) = s(X0,X7)
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X8))),s(fun(X0,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X7))),s(fun(X0,bool),X2))))
| s(X3,i(s(fun(X0,X3),X4),s(X0,X7))) != s(X3,i(s(fun(X0,X3),X4),s(X0,X8))) ) )
| s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X1))) != s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X2)))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X1)))) ),
inference(flattening,[],[f6220]) ).
fof(f6220,plain,
! [X1,X2,X3,X0] :
( ? [X4] :
( ! [X5] :
( ? [X6] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X6))),s(fun(X0,bool),X2))))
& s(X3,X5) = s(X3,i(s(fun(X0,X3),X4),s(X0,X6))) )
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X5))),s(fun(X3,bool),X1)))) )
& ! [X9] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X9))),s(fun(X0,bool),X2))))
| p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,i(s(fun(X0,X3),X4),s(X0,X9))))),s(fun(X3,bool),X1)))) )
& ! [X7,X8] :
( s(X0,X8) = s(X0,X7)
| s(X3,i(s(fun(X0,X3),X4),s(X0,X7))) != s(X3,i(s(fun(X0,X3),X4),s(X0,X8)))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X7))),s(fun(X0,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X8))),s(fun(X0,bool),X2)))) ) )
| s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X1))) != s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X2)))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X1)))) ),
inference(ennf_transformation,[],[f4083]) ).
fof(f4083,plain,
! [X1,X2,X3,X0] :
( ( s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X1))) = s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X2)))
& p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X2))))
& p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X1)))) )
=> ? [X4] :
( ! [X5] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X5))),s(fun(X3,bool),X1))))
=> ? [X6] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X6))),s(fun(X0,bool),X2))))
& s(X3,X5) = s(X3,i(s(fun(X0,X3),X4),s(X0,X6))) ) )
& ! [X9] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X9))),s(fun(X0,bool),X2))))
=> p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,i(s(fun(X0,X3),X4),s(X0,X9))))),s(fun(X3,bool),X1)))) )
& ! [X7,X8] :
( ( s(X3,i(s(fun(X0,X3),X4),s(X0,X7))) = s(X3,i(s(fun(X0,X3),X4),s(X0,X8)))
& p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X7))),s(fun(X0,bool),X2))))
& p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X8))),s(fun(X0,bool),X2)))) )
=> s(X0,X8) = s(X0,X7) ) ) ),
inference(rectify,[],[f2049]) ).
fof(f2049,axiom,
! [X3,X14,X96,X9] :
( ( p(s(bool,i(s(fun(fun(X9,bool),bool),finite),s(fun(X9,bool),X14))))
& s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X96))) = s(num,i(s(fun(fun(X9,bool),num),card),s(fun(X9,bool),X14)))
& p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X96)))) )
=> ? [X10] :
( ! [X7] :
( p(s(bool,i(s(fun(fun(X9,bool),bool),i(s(fun(X9,fun(fun(X9,bool),bool)),in),s(X9,X7))),s(fun(X9,bool),X14))))
=> ? [X0] :
( s(X9,X7) = s(X9,i(s(fun(X3,X9),X10),s(X3,X0)))
& p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96)))) ) )
& ! [X0,X7] :
( ( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96))))
& s(X9,i(s(fun(X3,X9),X10),s(X3,X7))) = s(X9,i(s(fun(X3,X9),X10),s(X3,X0)))
& p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X7))),s(fun(X3,bool),X96)))) )
=> s(X3,X0) = s(X3,X7) )
& ! [X0] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96))))
=> p(s(bool,i(s(fun(fun(X9,bool),bool),i(s(fun(X9,fun(fun(X9,bool),bool)),in),s(X9,i(s(fun(X3,X9),X10),s(X3,X0))))),s(fun(X9,bool),X14)))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aCARDu_EQu_BIJECTION) ).
fof(f14415,plain,
( ~ spl2410_4
| spl2410_118
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13524,f13303,f14413,f13905]) ).
fof(f14413,plain,
( spl2410_118
<=> ! [X448,X449,X447] :
( sP585(sK584(cart(real,sK2122),X447,X448,i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),X449),X449,i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),X448,X447,cart(real,sK2122))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),bool),bool)),subset),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(X448,bool),fun(cart(real,sK2122),bool)),i(s(fun(fun(X448,cart(real,sK2122)),fun(fun(X448,bool),fun(cart(real,sK2122),bool))),image),s(fun(X448,cart(real,sK2122)),X449))),s(fun(X448,bool),X447)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_118])]) ).
fof(f13524,plain,
( ! [X448,X447,X449] :
( sP585(sK584(cart(real,sK2122),X447,X448,i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),X449),X449,i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),X448,X447,cart(real,sK2122))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),bool),bool)),subset),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(X448,bool),fun(cart(real,sK2122),bool)),i(s(fun(fun(X448,cart(real,sK2122)),fun(fun(X448,bool),fun(cart(real,sK2122),bool))),image),s(fun(X448,cart(real,sK2122)),X449))),s(fun(X448,bool),X447)))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f7607]) ).
fof(f7607,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),X3),s(fun(X0,bool),X6))))
| sP585(sK584(X0,X1,X2,X3,X4),X4,X3,X2,X1,X0)
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X6))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),X6))),s(fun(X0,bool),i(s(fun(fun(X2,bool),fun(X0,bool)),i(s(fun(fun(X2,X0),fun(fun(X2,bool),fun(X0,bool))),image),s(fun(X2,X0),X4))),s(fun(X2,bool),X1)))))) ),
inference(cnf_transformation,[],[f4206]) ).
fof(f4206,plain,
! [X3,X1,X4,X0,X2] :
( ? [X6] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),X3),s(fun(X0,bool),X6))))
& p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),X6))),s(fun(X0,bool),i(s(fun(fun(X2,bool),fun(X0,bool)),i(s(fun(fun(X2,X0),fun(fun(X2,bool),fun(X0,bool))),image),s(fun(X2,X0),X4))),s(fun(X2,bool),X1))))))
& p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X6)))) )
<=> ? [X5] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),X3),s(fun(X0,bool),i(s(fun(fun(X2,bool),fun(X0,bool)),i(s(fun(fun(X2,X0),fun(fun(X2,bool),fun(X0,bool))),image),s(fun(X2,X0),X4))),s(fun(X2,bool),X5))))))
& p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(fun(X2,bool),fun(fun(X2,bool),bool)),subset),s(fun(X2,bool),X5))),s(fun(X2,bool),X1))))
& p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X5)))) ) ),
inference(rectify,[],[f1908]) ).
fof(f1908,axiom,
! [X471,X96,X472,X6,X10] :
( ? [X14] :
( p(s(bool,i(s(fun(fun(X472,bool),bool),i(s(fun(fun(X472,bool),fun(fun(X472,bool),bool)),subset),s(fun(X472,bool),X14))),s(fun(X472,bool),X96))))
& p(s(bool,i(s(fun(fun(X472,bool),bool),finite),s(fun(X472,bool),X14))))
& p(s(bool,i(s(fun(fun(X471,bool),bool),X6),s(fun(X471,bool),i(s(fun(fun(X472,bool),fun(X471,bool)),i(s(fun(fun(X472,X471),fun(fun(X472,bool),fun(X471,bool))),image),s(fun(X472,X471),X10))),s(fun(X472,bool),X14)))))) )
<=> ? [X14] :
( p(s(bool,i(s(fun(fun(X471,bool),bool),X6),s(fun(X471,bool),X14))))
& p(s(bool,i(s(fun(fun(X471,bool),bool),i(s(fun(fun(X471,bool),fun(fun(X471,bool),bool)),subset),s(fun(X471,bool),X14))),s(fun(X471,bool),i(s(fun(fun(X472,bool),fun(X471,bool)),i(s(fun(fun(X472,X471),fun(fun(X472,bool),fun(X471,bool))),image),s(fun(X472,X471),X10))),s(fun(X472,bool),X96))))))
& p(s(bool,i(s(fun(fun(X471,bool),bool),finite),s(fun(X471,bool),X14)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aEXISTSu_FINITEu_SUBSETu_IMAGE) ).
fof(f14411,plain,
( spl2410_117
| ~ spl2410_4
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13471,f13303,f13905,f14409]) ).
fof(f14409,plain,
( spl2410_117
<=> ! [X299,X298,X300] :
( ~ sQ2409_eqProxy(s(X300,sK1213(X298,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X299,X300,cart(real,sK2122))),s(X300,i(s(fun(cart(real,sK2122),X300),X298),s(cart(real,sK2122),sK2123))))
| ~ sQ2409_eqProxy(s(cart(real,sK2122),sK1214(X298,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X299,X300,cart(real,sK2122))),s(cart(real,sK2122),sK1215(X298,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X299,X300,cart(real,sK2122))))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK1212(X298,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X299,X300,cart(real,sK2122))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X300,bool),num),card),s(fun(X300,bool),X299)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_117])]) ).
fof(f13471,plain,
( ! [X300,X299,X298] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ sQ2409_eqProxy(s(X300,sK1213(X298,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X299,X300,cart(real,sK2122))),s(X300,i(s(fun(cart(real,sK2122),X300),X298),s(cart(real,sK2122),sK2123))))
| sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X300,bool),num),card),s(fun(X300,bool),X299))))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK1212(X298,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X299,X300,cart(real,sK2122))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ sQ2409_eqProxy(s(cart(real,sK2122),sK1214(X298,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X299,X300,cart(real,sK2122))),s(cart(real,sK2122),sK1215(X298,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X299,X300,cart(real,sK2122)))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12079]) ).
fof(f12079,plain,
! [X2,X3,X0,X1,X6,X4] :
( p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,sK1212(X0,X1,X2,X3,X4)))),s(fun(X4,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X6))),s(fun(X4,bool),X1))))
| ~ sQ2409_eqProxy(s(X3,sK1213(X0,X1,X2,X3,X4)),s(X3,i(s(fun(X4,X3),X0),s(X4,X6))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X1))))
| sQ2409_eqProxy(s(num,i(s(fun(fun(X4,bool),num),card),s(fun(X4,bool),X1))),s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2))))
| ~ sQ2409_eqProxy(s(X4,sK1214(X0,X1,X2,X3,X4)),s(X4,sK1215(X0,X1,X2,X3,X4))) ),
inference(equality_proxy_replacement,[],[f8731,f10758,f10758,f10758]) ).
fof(f8731,plain,
! [X2,X3,X0,X1,X6,X4] :
( p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,sK1212(X0,X1,X2,X3,X4)))),s(fun(X4,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X1))))
| s(num,i(s(fun(fun(X4,bool),num),card),s(fun(X4,bool),X1))) = s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2)))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X6))),s(fun(X4,bool),X1))))
| s(X3,sK1213(X0,X1,X2,X3,X4)) != s(X3,i(s(fun(X4,X3),X0),s(X4,X6)))
| s(X4,sK1214(X0,X1,X2,X3,X4)) != s(X4,sK1215(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f5541]) ).
fof(f5541,plain,
! [X3,X4,X1,X2,X0] :
( ? [X5] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X5))),s(fun(X3,bool),X2))))
& ( ? [X8,X7] :
( s(X4,X8) != s(X4,X7)
& s(X3,X5) = s(X3,i(s(fun(X4,X3),X0),s(X4,X7)))
& s(X3,X5) = s(X3,i(s(fun(X4,X3),X0),s(X4,X8)))
& p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X7))),s(fun(X4,bool),X1))))
& p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X8))),s(fun(X4,bool),X1)))) )
| ! [X6] :
( s(X3,X5) != s(X3,i(s(fun(X4,X3),X0),s(X4,X6)))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X6))),s(fun(X4,bool),X1)))) ) ) )
| s(num,i(s(fun(fun(X4,bool),num),card),s(fun(X4,bool),X1))) = s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2)))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X1))))
| ? [X9] :
( p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X9))),s(fun(X4,bool),X1))))
& ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,i(s(fun(X4,X3),X0),s(X4,X9))))),s(fun(X3,bool),X2)))) ) ),
inference(flattening,[],[f5540]) ).
fof(f5540,plain,
! [X2,X4,X1,X3,X0] :
( s(num,i(s(fun(fun(X4,bool),num),card),s(fun(X4,bool),X1))) = s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2)))
| ? [X9] :
( p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X9))),s(fun(X4,bool),X1))))
& ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,i(s(fun(X4,X3),X0),s(X4,X9))))),s(fun(X3,bool),X2)))) )
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X1))))
| ? [X5] :
( ( ? [X7,X8] :
( s(X4,X8) != s(X4,X7)
& s(X3,X5) = s(X3,i(s(fun(X4,X3),X0),s(X4,X7)))
& p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X8))),s(fun(X4,bool),X1))))
& p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X7))),s(fun(X4,bool),X1))))
& s(X3,X5) = s(X3,i(s(fun(X4,X3),X0),s(X4,X8))) )
| ! [X6] :
( s(X3,X5) != s(X3,i(s(fun(X4,X3),X0),s(X4,X6)))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X6))),s(fun(X4,bool),X1)))) ) )
& p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X5))),s(fun(X3,bool),X2)))) ) ),
inference(ennf_transformation,[],[f4095]) ).
fof(f4095,plain,
! [X2,X4,X1,X3,X0] :
( ( ! [X9] :
( p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X9))),s(fun(X4,bool),X1))))
=> p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,i(s(fun(X4,X3),X0),s(X4,X9))))),s(fun(X3,bool),X2)))) )
& p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X1))))
& ! [X5] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X5))),s(fun(X3,bool),X2))))
=> ( ! [X7,X8] :
( ( s(X3,X5) = s(X3,i(s(fun(X4,X3),X0),s(X4,X7)))
& p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X8))),s(fun(X4,bool),X1))))
& p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X7))),s(fun(X4,bool),X1))))
& s(X3,X5) = s(X3,i(s(fun(X4,X3),X0),s(X4,X8))) )
=> s(X4,X8) = s(X4,X7) )
& ? [X6] :
( s(X3,X5) = s(X3,i(s(fun(X4,X3),X0),s(X4,X6)))
& p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X6))),s(fun(X4,bool),X1)))) ) ) ) )
=> s(num,i(s(fun(fun(X4,bool),num),card),s(fun(X4,bool),X1))) = s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2))) ),
inference(rectify,[],[f1960]) ).
fof(f1960,axiom,
! [X10,X96,X14,X9,X3] :
( ( ! [X7] :
( p(s(bool,i(s(fun(fun(X9,bool),bool),i(s(fun(X9,fun(fun(X9,bool),bool)),in),s(X9,X7))),s(fun(X9,bool),X14))))
=> ( ? [X0] :
( s(X9,X7) = s(X9,i(s(fun(X3,X9),X10),s(X3,X0)))
& p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96)))) )
& ! [X0,X1] :
( ( s(X9,X7) = s(X9,i(s(fun(X3,X9),X10),s(X3,X1)))
& p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X1))),s(fun(X3,bool),X96))))
& s(X9,X7) = s(X9,i(s(fun(X3,X9),X10),s(X3,X0)))
& p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96)))) )
=> s(X3,X0) = s(X3,X1) ) ) )
& ! [X0] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96))))
=> p(s(bool,i(s(fun(fun(X9,bool),bool),i(s(fun(X9,fun(fun(X9,bool),bool)),in),s(X9,i(s(fun(X3,X9),X10),s(X3,X0))))),s(fun(X9,bool),X14)))) )
& p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X96)))) )
=> s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X96))) = s(num,i(s(fun(fun(X9,bool),num),card),s(fun(X9,bool),X14))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aCARDu_IMAGEu_INJu_EQ) ).
fof(f14407,plain,
( spl2410_116
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13641,f13303,f14404]) ).
fof(f14404,plain,
( spl2410_116
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK2252(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),fun(cart(real,sK2122),bool)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_116])]) ).
fof(f13641,plain,
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK2252(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),fun(cart(real,sK2122),bool))))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f10478]) ).
fof(f10478,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(X2,bool),X0),s(X2,X1))))
| p(s(bool,i(s(fun(X2,bool),X0),s(X2,sK2252(X0,X1,X2))))) ),
inference(cnf_transformation,[],[f3986]) ).
fof(f3986,plain,
! [X1,X0,X2] :
( p(s(bool,i(s(fun(X2,bool),X0),s(X2,X1))))
<=> ? [X3] :
( s(X2,X3) = s(X2,X1)
& p(s(bool,i(s(fun(X2,bool),X0),s(X2,X3)))) ) ),
inference(rectify,[],[f52]) ).
fof(f52,axiom,
! [X6,X15,X3] :
( ? [X0] :
( p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0))))
& s(X3,X0) = s(X3,X15) )
<=> p(s(bool,i(s(fun(X3,bool),X6),s(X3,X15)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aUNWINDu_THM1) ).
fof(f14402,plain,
( spl2410_115
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13620,f13303,f14399]) ).
fof(f14399,plain,
( spl2410_115
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK1963(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_115])]) ).
fof(f13620,plain,
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK1963(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f9950]) ).
fof(f9950,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(X1,bool),X0),s(X1,sK1963(X0,X1)))))
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X2)))) ),
inference(cnf_transformation,[],[f6045]) ).
fof(f14397,plain,
( ~ spl2410_4
| spl2410_114
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13346,f13303,f14395,f13905]) ).
fof(f14395,plain,
( spl2410_114
<=> ! [X46] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK397(i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122),X46)))),s(real,i(s(fun(cart(real,sK2122),real),X46),s(cart(real,sK2122),sK2123)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_114])]) ).
fof(f13346,plain,
( ! [X46] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK397(i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122),X46)))),s(real,i(s(fun(cart(real,sK2122),real),X46),s(cart(real,sK2122),sK2123))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f7175]) ).
fof(f7175,plain,
! [X2,X0,X1,X4] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK397(X0,X1,X2)))),s(real,i(s(fun(X1,real),X2),s(X1,X4))))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X0))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X4))),s(fun(X1,bool),X0)))) ),
inference(cnf_transformation,[],[f5688]) ).
fof(f5688,plain,
! [X1,X0,X2] :
( ? [X3] :
! [X4] :
( ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X4))),s(fun(X1,bool),X0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X3))),s(real,i(s(fun(X1,real),X2),s(X1,X4)))))) )
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X0)))) ),
inference(ennf_transformation,[],[f4026]) ).
fof(f4026,plain,
! [X0,X2,X1] :
( p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X0))))
=> ? [X3] :
! [X4] :
( p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X4))),s(fun(X1,bool),X0))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X3))),s(real,i(s(fun(X1,real),X2),s(X1,X4)))))) ) ),
inference(rectify,[],[f2675]) ).
fof(f2675,axiom,
! [X96,X3,X10] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X96))))
=> ? [X15] :
! [X0] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X15))),s(real,i(s(fun(X3,real),X10),s(X3,X0)))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aLOWERu_BOUNDu_FINITEu_SETu_REAL) ).
fof(f14393,plain,
( spl2410_7
| spl2410_113
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13605,f13303,f14390,f13920]) ).
fof(f14390,plain,
( spl2410_113
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK1230(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_113])]) ).
fof(f13605,plain,
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK1230(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))))))
| sP1226(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f8770]) ).
fof(f8770,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))
| p(s(bool,i(s(fun(X0,bool),X1),s(X0,sK1230(X0,X1)))))
| sP1226(X1,X0) ),
inference(cnf_transformation,[],[f5590]) ).
fof(f14388,plain,
( spl2410_112
| ~ spl2410_4
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13480,f13303,f13905,f14386]) ).
fof(f14386,plain,
( spl2410_112
<=> ! [X327,X326,X325] :
( ~ p(s(bool,i(s(fun(fun(X325,bool),bool),i(s(fun(X325,fun(fun(X325,bool),bool)),in),s(X325,i(s(fun(cart(real,sK2122),X325),X327),s(cart(real,sK2122),sK1212(X327,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X326,X325,cart(real,sK2122))))))),s(fun(X325,bool),X326))))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK1214(X327,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X326,X325,cart(real,sK2122))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ sQ2409_eqProxy(s(X325,sK1213(X327,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X326,X325,cart(real,sK2122))),s(X325,i(s(fun(cart(real,sK2122),X325),X327),s(cart(real,sK2122),sK2123))))
| sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X325,bool),num),card),s(fun(X325,bool),X326)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_112])]) ).
fof(f13480,plain,
( ! [X327,X326,X325] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(X325,bool),bool),i(s(fun(X325,fun(fun(X325,bool),bool)),in),s(X325,i(s(fun(cart(real,sK2122),X325),X327),s(cart(real,sK2122),sK1212(X327,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X326,X325,cart(real,sK2122))))))),s(fun(X325,bool),X326))))
| sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X325,bool),num),card),s(fun(X325,bool),X326))))
| ~ sQ2409_eqProxy(s(X325,sK1213(X327,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X326,X325,cart(real,sK2122))),s(X325,i(s(fun(cart(real,sK2122),X325),X327),s(cart(real,sK2122),sK2123))))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK1214(X327,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X326,X325,cart(real,sK2122))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12088]) ).
fof(f12088,plain,
! [X2,X3,X0,X1,X6,X4] :
( sQ2409_eqProxy(s(num,i(s(fun(fun(X4,bool),num),card),s(fun(X4,bool),X1))),s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2))))
| ~ sQ2409_eqProxy(s(X3,sK1213(X0,X1,X2,X3,X4)),s(X3,i(s(fun(X4,X3),X0),s(X4,X6))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X6))),s(fun(X4,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,i(s(fun(X4,X3),X0),s(X4,sK1212(X0,X1,X2,X3,X4)))))),s(fun(X3,bool),X2))))
| p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,sK1214(X0,X1,X2,X3,X4)))),s(fun(X4,bool),X1)))) ),
inference(equality_proxy_replacement,[],[f8722,f10758,f10758]) ).
fof(f8722,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,i(s(fun(X4,X3),X0),s(X4,sK1212(X0,X1,X2,X3,X4)))))),s(fun(X3,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X1))))
| s(num,i(s(fun(fun(X4,bool),num),card),s(fun(X4,bool),X1))) = s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2)))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X6))),s(fun(X4,bool),X1))))
| s(X3,sK1213(X0,X1,X2,X3,X4)) != s(X3,i(s(fun(X4,X3),X0),s(X4,X6)))
| p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,sK1214(X0,X1,X2,X3,X4)))),s(fun(X4,bool),X1)))) ),
inference(cnf_transformation,[],[f5541]) ).
fof(f14384,plain,
( spl2410_111
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13564,f13303,f14381]) ).
fof(f14381,plain,
( spl2410_111
<=> sP761(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool),span,fun(cart(real,sK2122),bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_111])]) ).
fof(f13564,plain,
( sP761(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool),span,fun(cart(real,sK2122),bool))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f7878]) ).
fof(f7878,plain,
! [X2,X0,X1,X7,X5] :
( sP761(X5,X2,X1,X0)
| ~ p(s(bool,i(s(fun(X2,bool),X5),s(X2,i(s(fun(X0,X2),X1),s(X0,X7)))))) ),
inference(cnf_transformation,[],[f4015]) ).
fof(f4015,plain,
! [X0,X1,X2] :
( ! [X3] :
? [X4] : s(X2,X3) = s(X2,i(s(fun(X0,X2),X1),s(X0,X4)))
<=> ! [X5] :
( ? [X6] : p(s(bool,i(s(fun(X2,bool),X5),s(X2,X6))))
<=> ? [X7] : p(s(bool,i(s(fun(X2,bool),X5),s(X2,i(s(fun(X0,X2),X1),s(X0,X7)))))) ) ),
inference(rectify,[],[f1884]) ).
fof(f1884,axiom,
! [X3,X10,X9] :
( ! [X7] :
? [X0] : s(X9,X7) = s(X9,i(s(fun(X3,X9),X10),s(X3,X0)))
<=> ! [X6] :
( ? [X7] : p(s(bool,i(s(fun(X9,bool),X6),s(X9,X7))))
<=> ? [X0] : p(s(bool,i(s(fun(X9,bool),X6),s(X9,i(s(fun(X3,X9),X10),s(X3,X0)))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSURJECTIVEu_EXISTSu_THM) ).
fof(f14379,plain,
( spl2410_110
| spl2410_20
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13528,f13303,f13976,f14377]) ).
fof(f14377,plain,
( spl2410_110
<=> ! [X456,X455] :
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),bool),bool)),subset),s(fun(cart(real,sK2122),bool),X456))),s(fun(cart(real,sK2122),bool),X455))))
| ~ p(s(bool,i(s(fun(fun(fun(cart(real,sK2122),bool),bool),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(fun(cart(real,sK2122),bool),bool),bool)),in),s(fun(cart(real,sK2122),bool),X456))),s(fun(fun(cart(real,sK2122),bool),bool),sK1638(cart(real,sK2122),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))))))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),bool),bool)),subset),s(fun(cart(real,sK2122),bool),X455))),s(fun(cart(real,sK2122),bool),X456))))
| ~ p(s(bool,i(s(fun(fun(fun(cart(real,sK2122),bool),bool),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(fun(cart(real,sK2122),bool),bool),bool)),in),s(fun(cart(real,sK2122),bool),X455))),s(fun(fun(cart(real,sK2122),bool),bool),sK1638(cart(real,sK2122),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_110])]) ).
fof(f13976,plain,
( spl2410_20
<=> sP1640(sK1639(cart(real,sK2122),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),cart(real,sK2122)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_20])]) ).
fof(f13528,plain,
( ! [X456,X455] :
( sP1640(sK1639(cart(real,sK2122),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),cart(real,sK2122))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),bool),bool)),subset),s(fun(cart(real,sK2122),bool),X456))),s(fun(cart(real,sK2122),bool),X455))))
| ~ p(s(bool,i(s(fun(fun(fun(cart(real,sK2122),bool),bool),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(fun(cart(real,sK2122),bool),bool),bool)),in),s(fun(cart(real,sK2122),bool),X455))),s(fun(fun(cart(real,sK2122),bool),bool),sK1638(cart(real,sK2122),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))))))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),bool),bool)),subset),s(fun(cart(real,sK2122),bool),X455))),s(fun(cart(real,sK2122),bool),X456))))
| ~ p(s(bool,i(s(fun(fun(fun(cart(real,sK2122),bool),bool),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(fun(cart(real,sK2122),bool),bool),bool)),in),s(fun(cart(real,sK2122),bool),X456))),s(fun(fun(cart(real,sK2122),bool),bool),sK1638(cart(real,sK2122),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f9435]) ).
fof(f9435,plain,
! [X3,X0,X1,X7,X4] :
( ~ p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),X3))),s(fun(fun(X0,bool),bool),sK1638(X0,X1)))))
| p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),X3))),s(fun(X0,bool),X4))))
| sP1640(sK1639(X0,X1),X1,X0)
| p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),X4))),s(fun(X0,bool),X3))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),X7))))
| ~ p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),X4))),s(fun(fun(X0,bool),bool),sK1638(X0,X1))))) ),
inference(cnf_transformation,[],[f5252]) ).
fof(f5252,plain,
! [X1,X0] :
( ? [X8] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),X8))))
& ! [X9] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),X9))))
| s(fun(X0,bool),X9) = s(fun(X0,bool),X8)
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),X8))),s(fun(X0,bool),X9)))) ) )
| ? [X2] :
( ! [X6] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),X6))))
| ~ p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),X6))),s(fun(fun(X0,bool),bool),X2)))) )
& ! [X4,X3] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),X4))),s(fun(X0,bool),X3))))
| p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),X3))),s(fun(X0,bool),X4))))
| ~ p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),X3))),s(fun(fun(X0,bool),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),X4))),s(fun(fun(X0,bool),bool),X2)))) )
& ? [X5] : p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),X5))),s(fun(fun(X0,bool),bool),X2))))
& ~ p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),i(s(fun(fun(fun(X0,bool),bool),fun(X0,bool)),unions),s(fun(fun(X0,bool),bool),X2)))))) )
| ! [X7] : ~ p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),X7)))) ),
inference(flattening,[],[f5251]) ).
fof(f5251,plain,
! [X0,X1] :
( ? [X8] :
( ! [X9] :
( s(fun(X0,bool),X9) = s(fun(X0,bool),X8)
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),X8))),s(fun(X0,bool),X9))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),X9)))) )
& p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),X8)))) )
| ? [X2] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),i(s(fun(fun(fun(X0,bool),bool),fun(X0,bool)),unions),s(fun(fun(X0,bool),bool),X2))))))
& ? [X5] : p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),X5))),s(fun(fun(X0,bool),bool),X2))))
& ! [X3,X4] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),X3))),s(fun(X0,bool),X4))))
| p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),X4))),s(fun(X0,bool),X3))))
| ~ p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),X3))),s(fun(fun(X0,bool),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),X4))),s(fun(fun(X0,bool),bool),X2)))) )
& ! [X6] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),X6))))
| ~ p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),X6))),s(fun(fun(X0,bool),bool),X2)))) ) )
| ! [X7] : ~ p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),X7)))) ),
inference(ennf_transformation,[],[f5035]) ).
fof(f5035,plain,
! [X0,X1] :
( ( ! [X2] :
( ( ? [X5] : p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),X5))),s(fun(fun(X0,bool),bool),X2))))
& ! [X3,X4] :
( ( p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),X3))),s(fun(fun(X0,bool),bool),X2))))
& p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),X4))),s(fun(fun(X0,bool),bool),X2)))) )
=> ( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),X3))),s(fun(X0,bool),X4))))
| p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),X4))),s(fun(X0,bool),X3)))) ) )
& ! [X6] :
( p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),X6))),s(fun(fun(X0,bool),bool),X2))))
=> p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),X6)))) ) )
=> p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),i(s(fun(fun(fun(X0,bool),bool),fun(X0,bool)),unions),s(fun(fun(X0,bool),bool),X2)))))) )
& ? [X7] : p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),X7)))) )
=> ? [X8] :
( ! [X9] :
( ( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),X8))),s(fun(X0,bool),X9))))
& p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),X9)))) )
=> s(fun(X0,bool),X9) = s(fun(X0,bool),X8) )
& p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),X8)))) ) ),
inference(rectify,[],[f2521]) ).
fof(f2521,axiom,
! [X3,X6] :
( ( ! [X94] :
( ( ! [X7,X0] :
( ( p(s(bool,i(s(fun(fun(fun(X3,bool),bool),bool),i(s(fun(fun(X3,bool),fun(fun(fun(X3,bool),bool),bool)),in),s(fun(X3,bool),X7))),s(fun(fun(X3,bool),bool),X94))))
& p(s(bool,i(s(fun(fun(fun(X3,bool),bool),bool),i(s(fun(fun(X3,bool),fun(fun(fun(X3,bool),bool),bool)),in),s(fun(X3,bool),X0))),s(fun(fun(X3,bool),bool),X94)))) )
=> ( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(fun(X3,bool),fun(fun(X3,bool),bool)),subset),s(fun(X3,bool),X0))),s(fun(X3,bool),X7))))
| p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(fun(X3,bool),fun(fun(X3,bool),bool)),subset),s(fun(X3,bool),X7))),s(fun(X3,bool),X0)))) ) )
& ? [X0] : p(s(bool,i(s(fun(fun(fun(X3,bool),bool),bool),i(s(fun(fun(X3,bool),fun(fun(fun(X3,bool),bool),bool)),in),s(fun(X3,bool),X0))),s(fun(fun(X3,bool),bool),X94))))
& ! [X0] :
( p(s(bool,i(s(fun(fun(fun(X3,bool),bool),bool),i(s(fun(fun(X3,bool),fun(fun(fun(X3,bool),bool),bool)),in),s(fun(X3,bool),X0))),s(fun(fun(X3,bool),bool),X94))))
=> p(s(bool,i(s(fun(fun(X3,bool),bool),X6),s(fun(X3,bool),X0)))) ) )
=> p(s(bool,i(s(fun(fun(X3,bool),bool),X6),s(fun(X3,bool),i(s(fun(fun(fun(X3,bool),bool),fun(X3,bool)),unions),s(fun(fun(X3,bool),bool),X94)))))) )
& ? [X0] : p(s(bool,i(s(fun(fun(X3,bool),bool),X6),s(fun(X3,bool),X0)))) )
=> ? [X15] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),X6),s(fun(X3,bool),X15))))
& ! [X0] :
( ( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(fun(X3,bool),fun(fun(X3,bool),bool)),subset),s(fun(X3,bool),X15))),s(fun(X3,bool),X0))))
& p(s(bool,i(s(fun(fun(X3,bool),bool),X6),s(fun(X3,bool),X0)))) )
=> s(fun(X3,bool),X0) = s(fun(X3,bool),X15) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aZLu_SUBSETSu_UNIONSu_NONEMPTY) ).
fof(f14375,plain,
( spl2410_58
| ~ spl2410_109
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13534,f13303,f14372,f14143]) ).
fof(f14143,plain,
( spl2410_58
<=> sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),i(s(fun(fun(fun(cart(real,sK2122),bool),bool),fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool))),hull),s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))),s(fun(cart(real,sK2122),bool),sK207(cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_58])]) ).
fof(f14372,plain,
( spl2410_109
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(fun(cart(real,sK2122),bool),bool),fun(cart(real,sK2122),bool)),inters),s(fun(fun(cart(real,sK2122),bool),bool),sK206(cart(real,sK2122),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_109])]) ).
fof(f13534,plain,
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(fun(cart(real,sK2122),bool),bool),fun(cart(real,sK2122),bool)),inters),s(fun(fun(cart(real,sK2122),bool),bool),sK206(cart(real,sK2122),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))))))))
| sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),i(s(fun(fun(fun(cart(real,sK2122),bool),bool),fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool))),hull),s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))),s(fun(cart(real,sK2122),bool),sK207(cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f11020]) ).
fof(f11020,plain,
! [X2,X0,X1] :
( sQ2409_eqProxy(s(fun(X0,bool),X1),s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),i(s(fun(fun(fun(X0,bool),bool),fun(fun(X0,bool),fun(X0,bool))),hull),s(fun(fun(X0,bool),bool),X2))),s(fun(X0,bool),sK207(X0,X1,X2)))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),X2),s(fun(X0,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),X2),s(fun(X0,bool),i(s(fun(fun(fun(X0,bool),bool),fun(X0,bool)),inters),s(fun(fun(X0,bool),bool),sK206(X0,X2))))))) ),
inference(equality_proxy_replacement,[],[f6810,f10758]) ).
fof(f6810,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),X2),s(fun(X0,bool),X1))))
| s(fun(X0,bool),X1) = s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),i(s(fun(fun(fun(X0,bool),bool),fun(fun(X0,bool),fun(X0,bool))),hull),s(fun(fun(X0,bool),bool),X2))),s(fun(X0,bool),sK207(X0,X1,X2))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),X2),s(fun(X0,bool),i(s(fun(fun(fun(X0,bool),bool),fun(X0,bool)),inters),s(fun(fun(X0,bool),bool),sK206(X0,X2))))))) ),
inference(cnf_transformation,[],[f5953]) ).
fof(f5953,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),X2),s(fun(X0,bool),i(s(fun(fun(fun(X0,bool),bool),fun(X0,bool)),inters),s(fun(fun(X0,bool),bool),X3))))))
& ! [X4] :
( ~ p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),X4))),s(fun(fun(X0,bool),bool),X3))))
| p(s(bool,i(s(fun(fun(X0,bool),bool),X2),s(fun(X0,bool),X4)))) ) )
| ( ? [X5] : s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),i(s(fun(fun(fun(X0,bool),bool),fun(fun(X0,bool),fun(X0,bool))),hull),s(fun(fun(X0,bool),bool),X2))),s(fun(X0,bool),X5))) = s(fun(X0,bool),X1)
<=> p(s(bool,i(s(fun(fun(X0,bool),bool),X2),s(fun(X0,bool),X1)))) ) ),
inference(ennf_transformation,[],[f4932]) ).
fof(f4932,plain,
! [X1,X0,X2] :
( ! [X3] :
( ! [X4] :
( p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),X4))),s(fun(fun(X0,bool),bool),X3))))
=> p(s(bool,i(s(fun(fun(X0,bool),bool),X2),s(fun(X0,bool),X4)))) )
=> p(s(bool,i(s(fun(fun(X0,bool),bool),X2),s(fun(X0,bool),i(s(fun(fun(fun(X0,bool),bool),fun(X0,bool)),inters),s(fun(fun(X0,bool),bool),X3)))))) )
=> ( ? [X5] : s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),i(s(fun(fun(fun(X0,bool),bool),fun(fun(X0,bool),fun(X0,bool))),hull),s(fun(fun(X0,bool),bool),X2))),s(fun(X0,bool),X5))) = s(fun(X0,bool),X1)
<=> p(s(bool,i(s(fun(fun(X0,bool),bool),X2),s(fun(X0,bool),X1)))) ) ),
inference(rectify,[],[f2709]) ).
fof(f2709,axiom,
! [X966,X96,X6] :
( ! [X10] :
( ! [X96] :
( p(s(bool,i(s(fun(fun(fun(X966,bool),bool),bool),i(s(fun(fun(X966,bool),fun(fun(fun(X966,bool),bool),bool)),in),s(fun(X966,bool),X96))),s(fun(fun(X966,bool),bool),X10))))
=> p(s(bool,i(s(fun(fun(X966,bool),bool),X6),s(fun(X966,bool),X96)))) )
=> p(s(bool,i(s(fun(fun(X966,bool),bool),X6),s(fun(X966,bool),i(s(fun(fun(fun(X966,bool),bool),fun(X966,bool)),inters),s(fun(fun(X966,bool),bool),X10)))))) )
=> ( ? [X14] : s(fun(X966,bool),X96) = s(fun(X966,bool),i(s(fun(fun(X966,bool),fun(X966,bool)),i(s(fun(fun(fun(X966,bool),bool),fun(fun(X966,bool),fun(X966,bool))),hull),s(fun(fun(X966,bool),bool),X6))),s(fun(X966,bool),X14)))
<=> p(s(bool,i(s(fun(fun(X966,bool),bool),X6),s(fun(X966,bool),X96)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aISu_HULL) ).
fof(f14370,plain,
( spl2410_108
| ~ spl2410_4
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13495,f13303,f13905,f14368]) ).
fof(f14368,plain,
( spl2410_108
<=> ! [X365,X364] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),X365))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),i(s(fun(fun(cart(real,sK2122),cart(real,sK2122)),fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool))),image),s(fun(cart(real,sK2122),cart(real,sK2122)),X364))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(cart(real,sK2122),sK2123),s(cart(real,sK2122),X365))
| ~ sQ2409_eqProxy(s(cart(real,sK2122),i(s(fun(cart(real,sK2122),cart(real,sK2122)),X364),s(cart(real,sK2122),X365))),s(cart(real,sK2122),i(s(fun(cart(real,sK2122),cart(real,sK2122)),X364),s(cart(real,sK2122),sK2123)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_108])]) ).
fof(f13495,plain,
( ! [X365,X364] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),X365))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ sQ2409_eqProxy(s(cart(real,sK2122),i(s(fun(cart(real,sK2122),cart(real,sK2122)),X364),s(cart(real,sK2122),X365))),s(cart(real,sK2122),i(s(fun(cart(real,sK2122),cart(real,sK2122)),X364),s(cart(real,sK2122),sK2123))))
| sQ2409_eqProxy(s(cart(real,sK2122),sK2123),s(cart(real,sK2122),X365))
| ~ sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),i(s(fun(fun(cart(real,sK2122),cart(real,sK2122)),fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool))),image),s(fun(cart(real,sK2122),cart(real,sK2122)),X364))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12682]) ).
fof(f14366,plain,
( ~ spl2410_4
| ~ spl2410_106
| spl2410_107
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13438,f13303,f14363,f14359,f13905]) ).
fof(f14359,plain,
( spl2410_106
<=> sQ2409_eqProxy(s(num,i(s(fun(num,num),numeral),s(num,u_0))),s(num,i(s(fun(fun(cart(real,sK2122),num),num),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),num),num)),nsum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),num),f)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_106])]) ).
fof(f14363,plain,
( spl2410_107
<=> sQ2409_eqProxy(s(num,i(s(fun(num,num),numeral),s(num,u_0))),s(num,i(s(fun(cart(real,sK2122),num),f),s(cart(real,sK2122),sK2123)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_107])]) ).
fof(f13438,plain,
( sQ2409_eqProxy(s(num,i(s(fun(num,num),numeral),s(num,u_0))),s(num,i(s(fun(cart(real,sK2122),num),f),s(cart(real,sK2122),sK2123))))
| ~ sQ2409_eqProxy(s(num,i(s(fun(num,num),numeral),s(num,u_0))),s(num,i(s(fun(fun(cart(real,sK2122),num),num),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),num),num)),nsum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),num),f))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f11252]) ).
fof(f11252,plain,
! [X2,X0,X1] :
( sQ2409_eqProxy(s(num,i(s(fun(num,num),numeral),s(num,u_0))),s(num,i(s(fun(X1,num),f),s(X1,X2))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X2))),s(fun(X1,bool),X0))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X0))))
| ~ sQ2409_eqProxy(s(num,i(s(fun(num,num),numeral),s(num,u_0))),s(num,i(s(fun(fun(X1,num),num),i(s(fun(fun(X1,bool),fun(fun(X1,num),num)),nsum),s(fun(X1,bool),X0))),s(fun(X1,num),f)))) ),
inference(equality_proxy_replacement,[],[f7208,f10758,f10758]) ).
fof(f7208,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X0))))
| s(num,i(s(fun(num,num),numeral),s(num,u_0))) != s(num,i(s(fun(fun(X1,num),num),i(s(fun(fun(X1,bool),fun(fun(X1,num),num)),nsum),s(fun(X1,bool),X0))),s(fun(X1,num),f)))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X2))),s(fun(X1,bool),X0))))
| s(num,i(s(fun(num,num),numeral),s(num,u_0))) = s(num,i(s(fun(X1,num),f),s(X1,X2))) ),
inference(cnf_transformation,[],[f5775]) ).
fof(f5775,plain,
! [X0,X1] :
( ( ! [X2] :
( s(num,i(s(fun(num,num),numeral),s(num,u_0))) = s(num,i(s(fun(X1,num),f),s(X1,X2)))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X2))),s(fun(X1,bool),X0)))) )
<=> s(num,i(s(fun(num,num),numeral),s(num,u_0))) = s(num,i(s(fun(fun(X1,num),num),i(s(fun(fun(X1,bool),fun(fun(X1,num),num)),nsum),s(fun(X1,bool),X0))),s(fun(X1,num),f))) )
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X0)))) ),
inference(ennf_transformation,[],[f4818]) ).
fof(f4818,plain,
! [X1,X0] :
( p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X0))))
=> ( s(num,i(s(fun(num,num),numeral),s(num,u_0))) = s(num,i(s(fun(fun(X1,num),num),i(s(fun(fun(X1,bool),fun(fun(X1,num),num)),nsum),s(fun(X1,bool),X0))),s(fun(X1,num),f)))
<=> ! [X2] :
( p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X2))),s(fun(X1,bool),X0))))
=> s(num,i(s(fun(num,num),numeral),s(num,u_0))) = s(num,i(s(fun(X1,num),f),s(X1,X2))) ) ) ),
inference(rectify,[],[f2199]) ).
fof(f2199,axiom,
! [X96,X658] :
( p(s(bool,i(s(fun(fun(X658,bool),bool),finite),s(fun(X658,bool),X96))))
=> ( ! [X0] :
( p(s(bool,i(s(fun(fun(X658,bool),bool),i(s(fun(X658,fun(fun(X658,bool),bool)),in),s(X658,X0))),s(fun(X658,bool),X96))))
=> s(num,i(s(fun(num,num),numeral),s(num,u_0))) = s(num,i(s(fun(X658,num),f),s(X658,X0))) )
<=> s(num,i(s(fun(num,num),numeral),s(num,u_0))) = s(num,i(s(fun(fun(X658,num),num),i(s(fun(fun(X658,bool),fun(fun(X658,num),num)),nsum),s(fun(X658,bool),X96))),s(fun(X658,num),f))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNSUMu_EQu_0u_IFF) ).
fof(f14357,plain,
( ~ spl2410_4
| spl2410_105
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13489,f13303,f14355,f13905]) ).
fof(f14355,plain,
( spl2410_105
<=> ! [X349,X350] :
( ~ p(s(bool,i(s(fun(fun(X349,bool),bool),finite),s(fun(X349,bool),X350))))
| sQ2409_eqProxy(s(cart(real,sK2122),sK2123),s(cart(real,sK2122),i(s(fun(X349,cart(real,sK2122)),sK1299(X349,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X350,cart(real,sK2122))),s(X349,sK1300(X349,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X350,cart(real,sK2122),sK2123)))))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X349,bool),num),card),s(fun(X349,bool),X350)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_105])]) ).
fof(f13489,plain,
( ! [X350,X349] :
( ~ p(s(bool,i(s(fun(fun(X349,bool),bool),finite),s(fun(X349,bool),X350))))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X349,bool),num),card),s(fun(X349,bool),X350))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(cart(real,sK2122),sK2123),s(cart(real,sK2122),i(s(fun(X349,cart(real,sK2122)),sK1299(X349,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X350,cart(real,sK2122))),s(X349,sK1300(X349,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X350,cart(real,sK2122),sK2123))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12153]) ).
fof(f12153,plain,
! [X2,X3,X0,X1,X5] :
( ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X5))),s(fun(X3,bool),X1))))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X1))),s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X2))))
| sQ2409_eqProxy(s(X3,X5),s(X3,i(s(fun(X0,X3),sK1299(X0,X1,X2,X3)),s(X0,sK1300(X0,X1,X2,X3,X5)))))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X1)))) ),
inference(equality_proxy_replacement,[],[f8872,f10758,f10758]) ).
fof(f8872,plain,
! [X2,X3,X0,X1,X5] :
( ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X1))))
| s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X1))) != s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X2)))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X5))),s(fun(X3,bool),X1))))
| s(X3,X5) = s(X3,i(s(fun(X0,X3),sK1299(X0,X1,X2,X3)),s(X0,sK1300(X0,X1,X2,X3,X5))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X2)))) ),
inference(cnf_transformation,[],[f6221]) ).
fof(f14353,plain,
( ~ spl2410_4
| spl2410_104
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13479,f13303,f14351,f13905]) ).
fof(f14351,plain,
( spl2410_104
<=> ! [X324,X323,X322] :
( ~ sQ2409_eqProxy(s(X322,sK1213(X323,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X324,X322,cart(real,sK2122))),s(X322,i(s(fun(cart(real,sK2122),X322),X323),s(cart(real,sK2122),sK2123))))
| ~ p(s(bool,i(s(fun(fun(X322,bool),bool),i(s(fun(X322,fun(fun(X322,bool),bool)),in),s(X322,i(s(fun(cart(real,sK2122),X322),X323),s(cart(real,sK2122),sK1212(X323,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X324,X322,cart(real,sK2122))))))),s(fun(X322,bool),X324))))
| sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X322,bool),num),card),s(fun(X322,bool),X324))))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK1215(X323,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X324,X322,cart(real,sK2122))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_104])]) ).
fof(f13479,plain,
( ! [X324,X323,X322] :
( ~ sQ2409_eqProxy(s(X322,sK1213(X323,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X324,X322,cart(real,sK2122))),s(X322,i(s(fun(cart(real,sK2122),X322),X323),s(cart(real,sK2122),sK2123))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK1215(X323,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X324,X322,cart(real,sK2122))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X322,bool),num),card),s(fun(X322,bool),X324))))
| ~ p(s(bool,i(s(fun(fun(X322,bool),bool),i(s(fun(X322,fun(fun(X322,bool),bool)),in),s(X322,i(s(fun(cart(real,sK2122),X322),X323),s(cart(real,sK2122),sK1212(X323,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X324,X322,cart(real,sK2122))))))),s(fun(X322,bool),X324)))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12087]) ).
fof(f12087,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,i(s(fun(X4,X3),X0),s(X4,sK1212(X0,X1,X2,X3,X4)))))),s(fun(X3,bool),X2))))
| sQ2409_eqProxy(s(num,i(s(fun(fun(X4,bool),num),card),s(fun(X4,bool),X1))),s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X6))),s(fun(X4,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X1))))
| p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,sK1215(X0,X1,X2,X3,X4)))),s(fun(X4,bool),X1))))
| ~ sQ2409_eqProxy(s(X3,sK1213(X0,X1,X2,X3,X4)),s(X3,i(s(fun(X4,X3),X0),s(X4,X6)))) ),
inference(equality_proxy_replacement,[],[f8723,f10758,f10758]) ).
fof(f8723,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,i(s(fun(X4,X3),X0),s(X4,sK1212(X0,X1,X2,X3,X4)))))),s(fun(X3,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X1))))
| s(num,i(s(fun(fun(X4,bool),num),card),s(fun(X4,bool),X1))) = s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2)))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X6))),s(fun(X4,bool),X1))))
| s(X3,sK1213(X0,X1,X2,X3,X4)) != s(X3,i(s(fun(X4,X3),X0),s(X4,X6)))
| p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,sK1215(X0,X1,X2,X3,X4)))),s(fun(X4,bool),X1)))) ),
inference(cnf_transformation,[],[f5541]) ).
fof(f14349,plain,
( spl2410_103
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13645,f13303,f14346]) ).
fof(f14346,plain,
( spl2410_103
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(fun(cart(real,sK2122),bool),bool),fun(cart(real,sK2122),bool)),h_),s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_103])]) ).
fof(f13645,plain,
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(fun(cart(real,sK2122),bool),bool),fun(cart(real,sK2122),bool)),h_),s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f10574]) ).
fof(f10574,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(X0,bool),X1),s(X0,i(s(fun(fun(X0,bool),X0),h_),s(fun(X0,bool),X1))))))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2)))) ),
inference(cnf_transformation,[],[f5804]) ).
fof(f5804,plain,
! [X1,X2,X0] :
( p(s(bool,i(s(fun(X0,bool),X1),s(X0,i(s(fun(fun(X0,bool),X0),h_),s(fun(X0,bool),X1))))))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2)))) ),
inference(ennf_transformation,[],[f4977]) ).
fof(f4977,plain,
! [X1,X0,X2] :
( p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))
=> p(s(bool,i(s(fun(X0,bool),X1),s(X0,i(s(fun(fun(X0,bool),X0),h_),s(fun(X0,bool),X1)))))) ),
inference(rectify,[],[f92]) ).
fof(f92,axiom,
! [X3,X6,X0] :
( p(s(bool,i(s(fun(X3,bool),X6),s(X3,X0))))
=> p(s(bool,i(s(fun(X3,bool),X6),s(X3,i(s(fun(fun(X3,bool),X3),h_),s(fun(X3,bool),X6)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSELECTu_AX) ).
fof(f14344,plain,
( spl2410_102
| ~ spl2410_4
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13355,f13303,f13905,f14342]) ).
fof(f14342,plain,
( spl2410_102
<=> ! [X66] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(cart(real,sK2122),num),X66),s(cart(real,sK2122),sK2123))))),s(num,sK603(i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122),X66))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_102])]) ).
fof(f13355,plain,
( ! [X66] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(cart(real,sK2122),num),X66),s(cart(real,sK2122),sK2123))))),s(num,sK603(i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122),X66))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f7636]) ).
fof(f7636,plain,
! [X2,X0,X1,X4] :
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(X1,num),X2),s(X1,X4))))),s(num,sK603(X0,X1,X2)))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X4))),s(fun(X1,bool),X0))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X0)))) ),
inference(cnf_transformation,[],[f5152]) ).
fof(f5152,plain,
! [X0,X2,X1] :
( ? [X3] :
! [X4] :
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(X1,num),X2),s(X1,X4))))),s(num,X3))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X4))),s(fun(X1,bool),X0)))) )
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X0)))) ),
inference(ennf_transformation,[],[f4332]) ).
fof(f4332,plain,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X0))))
=> ? [X3] :
! [X4] :
( p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X4))),s(fun(X1,bool),X0))))
=> p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(X1,num),X2),s(X1,X4))))),s(num,X3)))) ) ),
inference(rectify,[],[f2672]) ).
fof(f2672,axiom,
! [X96,X3,X10] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X96))))
=> ? [X15] :
! [X0] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96))))
=> p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(X3,num),X10),s(X3,X0))))),s(num,X15)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aUPPERu_BOUNDu_FINITEu_SET) ).
fof(f14340,plain,
( ~ spl2410_4
| spl2410_101
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13513,f13303,f14338,f13905]) ).
fof(f14338,plain,
( spl2410_101
<=> ! [X420] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),bool),bool)),subset),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),i(s(fun(fun(cart(real,sK2122),cart(real,sK2122)),fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool))),image),s(fun(cart(real,sK2122),cart(real,sK2122)),X420))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(cart(real,sK2122),i(s(fun(cart(real,sK2122),cart(real,sK2122)),X420),s(cart(real,sK2122),sK2213(X420,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122),sK2123)))),s(cart(real,sK2122),sK2123))
| ~ sP2212(sK2211(X420,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122)),sK2210(X420,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122)),cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X420) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_101])]) ).
fof(f13513,plain,
( ! [X420] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),bool),bool)),subset),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),i(s(fun(fun(cart(real,sK2122),cart(real,sK2122)),fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool))),image),s(fun(cart(real,sK2122),cart(real,sK2122)),X420))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ sP2212(sK2211(X420,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122)),sK2210(X420,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122)),cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X420)
| sQ2409_eqProxy(s(cart(real,sK2122),i(s(fun(cart(real,sK2122),cart(real,sK2122)),X420),s(cart(real,sK2122),sK2213(X420,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122),sK2123)))),s(cart(real,sK2122),sK2123))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f13086]) ).
fof(f13086,plain,
! [X2,X3,X0,X1] :
( sQ2409_eqProxy(s(X2,i(s(fun(X2,X2),X0),s(X2,sK2213(X0,X1,X2,X3)))),s(X2,X3))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X1))))
| ~ sP2212(sK2211(X0,X1,X2),sK2210(X0,X1,X2),X2,X1,X0)
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X3))),s(fun(X2,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(fun(X2,bool),fun(fun(X2,bool),bool)),subset),s(fun(X2,bool),i(s(fun(fun(X2,bool),fun(X2,bool)),i(s(fun(fun(X2,X2),fun(fun(X2,bool),fun(X2,bool))),image),s(fun(X2,X2),X0))),s(fun(X2,bool),X1))))),s(fun(X2,bool),X1)))) ),
inference(equality_proxy_replacement,[],[f10413,f10758]) ).
fof(f10413,plain,
! [X2,X3,X0,X1] :
( ~ sP2212(sK2211(X0,X1,X2),sK2210(X0,X1,X2),X2,X1,X0)
| s(X2,i(s(fun(X2,X2),X0),s(X2,sK2213(X0,X1,X2,X3)))) = s(X2,X3)
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X3))),s(fun(X2,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(fun(X2,bool),fun(fun(X2,bool),bool)),subset),s(fun(X2,bool),i(s(fun(fun(X2,bool),fun(X2,bool)),i(s(fun(fun(X2,X2),fun(fun(X2,bool),fun(X2,bool))),image),s(fun(X2,X2),X0))),s(fun(X2,bool),X1))))),s(fun(X2,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X1)))) ),
inference(cnf_transformation,[],[f6358]) ).
fof(f6358,plain,
! [X1,X0,X2] :
( ~ p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(fun(X2,bool),fun(fun(X2,bool),bool)),subset),s(fun(X2,bool),i(s(fun(fun(X2,bool),fun(X2,bool)),i(s(fun(fun(X2,X2),fun(fun(X2,bool),fun(X2,bool))),image),s(fun(X2,X2),X0))),s(fun(X2,bool),X1))))),s(fun(X2,bool),X1))))
| ( ! [X3] :
( ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X3))),s(fun(X2,bool),X1))))
| ? [X4] :
( p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X4))),s(fun(X2,bool),X1))))
& s(X2,i(s(fun(X2,X2),X0),s(X2,X4))) = s(X2,X3) ) )
<=> ! [X5,X6] :
( s(X2,i(s(fun(X2,X2),X0),s(X2,X5))) != s(X2,i(s(fun(X2,X2),X0),s(X2,X6)))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X5))),s(fun(X2,bool),X1))))
| s(X2,X5) = s(X2,X6)
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X6))),s(fun(X2,bool),X1)))) ) ) ),
inference(flattening,[],[f6357]) ).
fof(f6357,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X3))),s(fun(X2,bool),X1))))
| ? [X4] :
( p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X4))),s(fun(X2,bool),X1))))
& s(X2,i(s(fun(X2,X2),X0),s(X2,X4))) = s(X2,X3) ) )
<=> ! [X6,X5] :
( s(X2,X5) = s(X2,X6)
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X5))),s(fun(X2,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X6))),s(fun(X2,bool),X1))))
| s(X2,i(s(fun(X2,X2),X0),s(X2,X5))) != s(X2,i(s(fun(X2,X2),X0),s(X2,X6))) ) )
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(fun(X2,bool),fun(fun(X2,bool),bool)),subset),s(fun(X2,bool),i(s(fun(fun(X2,bool),fun(X2,bool)),i(s(fun(fun(X2,X2),fun(fun(X2,bool),fun(X2,bool))),image),s(fun(X2,X2),X0))),s(fun(X2,bool),X1))))),s(fun(X2,bool),X1)))) ),
inference(ennf_transformation,[],[f4201]) ).
fof(f4201,plain,
! [X0,X1,X2] :
( ( p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X1))))
& p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(fun(X2,bool),fun(fun(X2,bool),bool)),subset),s(fun(X2,bool),i(s(fun(fun(X2,bool),fun(X2,bool)),i(s(fun(fun(X2,X2),fun(fun(X2,bool),fun(X2,bool))),image),s(fun(X2,X2),X0))),s(fun(X2,bool),X1))))),s(fun(X2,bool),X1)))) )
=> ( ! [X3] :
( p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X3))),s(fun(X2,bool),X1))))
=> ? [X4] :
( p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X4))),s(fun(X2,bool),X1))))
& s(X2,i(s(fun(X2,X2),X0),s(X2,X4))) = s(X2,X3) ) )
<=> ! [X6,X5] :
( ( p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X5))),s(fun(X2,bool),X1))))
& p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X6))),s(fun(X2,bool),X1))))
& s(X2,i(s(fun(X2,X2),X0),s(X2,X5))) = s(X2,i(s(fun(X2,X2),X0),s(X2,X6))) )
=> s(X2,X5) = s(X2,X6) ) ) ),
inference(rectify,[],[f2037]) ).
fof(f2037,axiom,
! [X10,X96,X3] :
( ( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(fun(X3,bool),fun(fun(X3,bool),bool)),subset),s(fun(X3,bool),i(s(fun(fun(X3,bool),fun(X3,bool)),i(s(fun(fun(X3,X3),fun(fun(X3,bool),fun(X3,bool))),image),s(fun(X3,X3),X10))),s(fun(X3,bool),X96))))),s(fun(X3,bool),X96))))
& p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X96)))) )
=> ( ! [X7] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X7))),s(fun(X3,bool),X96))))
=> ? [X0] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96))))
& s(X3,X7) = s(X3,i(s(fun(X3,X3),X10),s(X3,X0))) ) )
<=> ! [X7,X0] :
( ( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96))))
& s(X3,i(s(fun(X3,X3),X10),s(X3,X0))) = s(X3,i(s(fun(X3,X3),X10),s(X3,X7)))
& p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X7))),s(fun(X3,bool),X96)))) )
=> s(X3,X0) = s(X3,X7) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSURJECTIVEu_IFFu_INJECTIVE) ).
fof(f14336,plain,
( spl2410_100
| ~ spl2410_4
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13466,f13303,f13905,f14334]) ).
fof(f14334,plain,
( spl2410_100
<=> ! [X289] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK2122),real),X289),s(cart(real,sK2122),sK1154(i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X289,cart(real,sK2122))))))))
| sQ2409_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(cart(real,sK2122),real),X289),s(cart(real,sK2122),sK2123))))
| ~ sQ2409_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),X289)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_100])]) ).
fof(f13466,plain,
( ! [X289] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK2122),real),X289),s(cart(real,sK2122),sK1154(i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X289,cart(real,sK2122))))))))
| ~ sQ2409_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),X289))))
| sQ2409_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(cart(real,sK2122),real),X289),s(cart(real,sK2122),sK2123)))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12005]) ).
fof(f12005,plain,
! [X2,X0,X1,X4] :
( ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X4))),s(fun(X2,bool),X0))))
| ~ sQ2409_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(fun(X2,real),real),i(s(fun(fun(X2,bool),fun(fun(X2,real),real)),sum),s(fun(X2,bool),X0))),s(fun(X2,real),X1))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X0))))
| sQ2409_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(X2,real),X1),s(X2,X4))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(X2,real),X1),s(X2,sK1154(X0,X1,X2))))))) ),
inference(equality_proxy_replacement,[],[f8590,f10758,f10758]) ).
fof(f8590,plain,
! [X2,X0,X1,X4] :
( s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,i(s(fun(X2,real),X1),s(X2,X4)))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X4))),s(fun(X2,bool),X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(X2,real),X1),s(X2,sK1154(X0,X1,X2)))))))
| s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) != s(real,i(s(fun(fun(X2,real),real),i(s(fun(fun(X2,bool),fun(fun(X2,real),real)),sum),s(fun(X2,bool),X0))),s(fun(X2,real),X1)))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X0)))) ),
inference(cnf_transformation,[],[f5908]) ).
fof(f5908,plain,
! [X0,X2,X1] :
( ~ p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X0))))
| s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) != s(real,i(s(fun(fun(X2,real),real),i(s(fun(fun(X2,bool),fun(fun(X2,real),real)),sum),s(fun(X2,bool),X0))),s(fun(X2,real),X1)))
| ? [X3] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(X2,real),X1),s(X2,X3))))))
& p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X3))),s(fun(X2,bool),X0)))) )
| ! [X4] :
( ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X4))),s(fun(X2,bool),X0))))
| s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,i(s(fun(X2,real),X1),s(X2,X4))) ) ),
inference(flattening,[],[f5907]) ).
fof(f5907,plain,
! [X2,X0,X1] :
( ! [X4] :
( ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X4))),s(fun(X2,bool),X0))))
| s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,i(s(fun(X2,real),X1),s(X2,X4))) )
| s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) != s(real,i(s(fun(fun(X2,real),real),i(s(fun(fun(X2,bool),fun(fun(X2,real),real)),sum),s(fun(X2,bool),X0))),s(fun(X2,real),X1)))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X0))))
| ? [X3] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(X2,real),X1),s(X2,X3))))))
& p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X3))),s(fun(X2,bool),X0)))) ) ),
inference(ennf_transformation,[],[f4283]) ).
fof(f4283,plain,
! [X2,X0,X1] :
( ( s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,i(s(fun(fun(X2,real),real),i(s(fun(fun(X2,bool),fun(fun(X2,real),real)),sum),s(fun(X2,bool),X0))),s(fun(X2,real),X1)))
& p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X0))))
& ! [X3] :
( p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X3))),s(fun(X2,bool),X0))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(X2,real),X1),s(X2,X3)))))) ) )
=> ! [X4] :
( p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X4))),s(fun(X2,bool),X0))))
=> s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,i(s(fun(X2,real),X1),s(X2,X4))) ) ),
inference(rectify,[],[f2283]) ).
fof(f2283,axiom,
! [X96,X10,X702] :
( ( p(s(bool,i(s(fun(fun(X702,bool),bool),finite),s(fun(X702,bool),X96))))
& ! [X0] :
( p(s(bool,i(s(fun(fun(X702,bool),bool),i(s(fun(X702,fun(fun(X702,bool),bool)),in),s(X702,X0))),s(fun(X702,bool),X96))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(X702,real),X10),s(X702,X0)))))) )
& s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,i(s(fun(fun(X702,real),real),i(s(fun(fun(X702,bool),fun(fun(X702,real),real)),sum),s(fun(X702,bool),X96))),s(fun(X702,real),X10))) )
=> ! [X0] :
( p(s(bool,i(s(fun(fun(X702,bool),bool),i(s(fun(X702,fun(fun(X702,bool),bool)),in),s(X702,X0))),s(fun(X702,bool),X96))))
=> s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,i(s(fun(X702,real),X10),s(X702,X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSUMu_POSu_EQu_0) ).
fof(f14331,plain,
( ~ spl2410_7
| spl2410_9
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13660,f13303,f13929,f13920]) ).
fof(f13660,plain,
( ! [X602] :
( sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))),s(fun(cart(real,sK2122),bool),X602))
| ~ sP1226(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),X602)))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12110]) ).
fof(f14330,plain,
( ~ spl2410_4
| spl2410_99
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13488,f13303,f14328,f13905]) ).
fof(f14328,plain,
( spl2410_99
<=> ! [X347,X348] :
( ~ p(s(bool,i(s(fun(fun(X347,bool),bool),finite),s(fun(X347,bool),X348))))
| p(s(bool,i(s(fun(fun(X347,bool),bool),i(s(fun(X347,fun(fun(X347,bool),bool)),in),s(X347,sK1300(X347,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X348,cart(real,sK2122),sK2123)))),s(fun(X347,bool),X348))))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X347,bool),num),card),s(fun(X347,bool),X348)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_99])]) ).
fof(f13488,plain,
( ! [X348,X347] :
( ~ p(s(bool,i(s(fun(fun(X347,bool),bool),finite),s(fun(X347,bool),X348))))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X347,bool),num),card),s(fun(X347,bool),X348))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| p(s(bool,i(s(fun(fun(X347,bool),bool),i(s(fun(X347,fun(fun(X347,bool),bool)),in),s(X347,sK1300(X347,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X348,cart(real,sK2122),sK2123)))),s(fun(X347,bool),X348)))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12152]) ).
fof(f12152,plain,
! [X2,X3,X0,X1,X5] :
( ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X2))))
| p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,sK1300(X0,X1,X2,X3,X5)))),s(fun(X0,bool),X2))))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X1))),s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X5))),s(fun(X3,bool),X1)))) ),
inference(equality_proxy_replacement,[],[f8873,f10758]) ).
fof(f8873,plain,
! [X2,X3,X0,X1,X5] :
( ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X1))))
| s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X1))) != s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X2)))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X5))),s(fun(X3,bool),X1))))
| p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,sK1300(X0,X1,X2,X3,X5)))),s(fun(X0,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X2)))) ),
inference(cnf_transformation,[],[f6221]) ).
fof(f14326,plain,
( spl2410_98
| ~ spl2410_4
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13474,f13303,f13905,f14324]) ).
fof(f14324,plain,
( spl2410_98
<=> ! [X308,X307,X309] :
( ~ sQ2409_eqProxy(s(X309,sK1213(X307,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X308,X309,cart(real,sK2122))),s(X309,i(s(fun(cart(real,sK2122),X309),X307),s(cart(real,sK2122),sK2123))))
| sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X309,bool),num),card),s(fun(X309,bool),X308))))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK1212(X307,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X308,X309,cart(real,sK2122))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK1215(X307,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X308,X309,cart(real,sK2122))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_98])]) ).
fof(f13474,plain,
( ! [X309,X308,X307] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ sQ2409_eqProxy(s(X309,sK1213(X307,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X308,X309,cart(real,sK2122))),s(X309,i(s(fun(cart(real,sK2122),X309),X307),s(cart(real,sK2122),sK2123))))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK1215(X307,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X308,X309,cart(real,sK2122))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK1212(X307,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X308,X309,cart(real,sK2122))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X309,bool),num),card),s(fun(X309,bool),X308)))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12082]) ).
fof(f12082,plain,
! [X2,X3,X0,X1,X6,X4] :
( p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,sK1215(X0,X1,X2,X3,X4)))),s(fun(X4,bool),X1))))
| ~ sQ2409_eqProxy(s(X3,sK1213(X0,X1,X2,X3,X4)),s(X3,i(s(fun(X4,X3),X0),s(X4,X6))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X6))),s(fun(X4,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X1))))
| p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,sK1212(X0,X1,X2,X3,X4)))),s(fun(X4,bool),X1))))
| sQ2409_eqProxy(s(num,i(s(fun(fun(X4,bool),num),card),s(fun(X4,bool),X1))),s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2)))) ),
inference(equality_proxy_replacement,[],[f8728,f10758,f10758]) ).
fof(f8728,plain,
! [X2,X3,X0,X1,X6,X4] :
( p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,sK1212(X0,X1,X2,X3,X4)))),s(fun(X4,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X1))))
| s(num,i(s(fun(fun(X4,bool),num),card),s(fun(X4,bool),X1))) = s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2)))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X6))),s(fun(X4,bool),X1))))
| s(X3,sK1213(X0,X1,X2,X3,X4)) != s(X3,i(s(fun(X4,X3),X0),s(X4,X6)))
| p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,sK1215(X0,X1,X2,X3,X4)))),s(fun(X4,bool),X1)))) ),
inference(cnf_transformation,[],[f5541]) ).
fof(f14322,plain,
( spl2410_97
| ~ spl2410_4
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13512,f13303,f13905,f14320]) ).
fof(f14320,plain,
( spl2410_97
<=> ! [X419,X417,X418] :
( ~ sQ2409_eqProxy(s(cart(real,sK2122),i(s(fun(cart(real,sK2122),cart(real,sK2122)),X419),s(cart(real,sK2122),sK2123))),s(cart(real,sK2122),sK2209(X419,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),bool),bool)),subset),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),i(s(fun(fun(cart(real,sK2122),cart(real,sK2122)),fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool))),image),s(fun(cart(real,sK2122),cart(real,sK2122)),X419))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sP2212(X417,X418,cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X419) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_97])]) ).
fof(f13512,plain,
( ! [X419,X418,X417] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ sQ2409_eqProxy(s(cart(real,sK2122),i(s(fun(cart(real,sK2122),cart(real,sK2122)),X419),s(cart(real,sK2122),sK2123))),s(cart(real,sK2122),sK2209(X419,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122))))
| sP2212(X417,X418,cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X419)
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),bool),bool)),subset),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),i(s(fun(fun(cart(real,sK2122),cart(real,sK2122)),fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool))),image),s(fun(cart(real,sK2122),cart(real,sK2122)),X419))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f13085]) ).
fof(f13085,plain,
! [X2,X0,X1,X6,X4,X5] :
( sP2212(X6,X5,X2,X1,X0)
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(fun(X2,bool),fun(fun(X2,bool),bool)),subset),s(fun(X2,bool),i(s(fun(fun(X2,bool),fun(X2,bool)),i(s(fun(fun(X2,X2),fun(fun(X2,bool),fun(X2,bool))),image),s(fun(X2,X2),X0))),s(fun(X2,bool),X1))))),s(fun(X2,bool),X1))))
| ~ sQ2409_eqProxy(s(X2,i(s(fun(X2,X2),X0),s(X2,X4))),s(X2,sK2209(X0,X1,X2)))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X4))),s(fun(X2,bool),X1)))) ),
inference(equality_proxy_replacement,[],[f10415,f10758]) ).
fof(f10415,plain,
! [X2,X0,X1,X6,X4,X5] :
( sP2212(X6,X5,X2,X1,X0)
| s(X2,i(s(fun(X2,X2),X0),s(X2,X4))) != s(X2,sK2209(X0,X1,X2))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X4))),s(fun(X2,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(fun(X2,bool),fun(fun(X2,bool),bool)),subset),s(fun(X2,bool),i(s(fun(fun(X2,bool),fun(X2,bool)),i(s(fun(fun(X2,X2),fun(fun(X2,bool),fun(X2,bool))),image),s(fun(X2,X2),X0))),s(fun(X2,bool),X1))))),s(fun(X2,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X1)))) ),
inference(cnf_transformation,[],[f6358]) ).
fof(f14318,plain,
( spl2410_96
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13318,f13303,f14315]) ).
fof(f14315,plain,
( spl2410_96
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_96])]) ).
fof(f13318,plain,
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f6806]) ).
fof(f6806,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X0))),s(fun(cart(real,X1),bool),X2))))
| p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X0))),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X1),bool)),span),s(fun(cart(real,X1),bool),X2)))))) ),
inference(cnf_transformation,[],[f6291]) ).
fof(f6291,plain,
! [X1,X0,X2] :
( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X0))),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X1),bool)),span),s(fun(cart(real,X1),bool),X2))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X0))),s(fun(cart(real,X1),bool),X2)))) ),
inference(ennf_transformation,[],[f3620]) ).
fof(f3620,plain,
! [X1,X0,X2] :
( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X0))),s(fun(cart(real,X1),bool),X2))))
=> p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X0))),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X1),bool)),span),s(fun(cart(real,X1),bool),X2)))))) ),
inference(rectify,[],[f3316]) ).
fof(f3316,axiom,
! [X15,X1383,X96] :
( p(s(bool,i(s(fun(fun(cart(real,X1383),bool),bool),i(s(fun(cart(real,X1383),fun(fun(cart(real,X1383),bool),bool)),in),s(cart(real,X1383),X15))),s(fun(cart(real,X1383),bool),X96))))
=> p(s(bool,i(s(fun(fun(cart(real,X1383),bool),bool),i(s(fun(cart(real,X1383),fun(fun(cart(real,X1383),bool),bool)),in),s(cart(real,X1383),X15))),s(fun(cart(real,X1383),bool),i(s(fun(fun(cart(real,X1383),bool),fun(cart(real,X1383),bool)),span),s(fun(cart(real,X1383),bool),X96)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSPANu_CLAUSESu_conjunct0) ).
fof(f14313,plain,
( ~ spl2410_4
| spl2410_95
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13473,f13303,f14311,f13905]) ).
fof(f14311,plain,
( spl2410_95
<=> ! [X305,X306,X304] :
( ~ sQ2409_eqProxy(s(X304,sK1213(X306,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X305,X304,cart(real,sK2122))),s(X304,i(s(fun(cart(real,sK2122),X304),X306),s(cart(real,sK2122),sK2123))))
| sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X304,bool),num),card),s(fun(X304,bool),X305))))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK1212(X306,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X305,X304,cart(real,sK2122))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(X304,i(s(fun(cart(real,sK2122),X304),X306),s(cart(real,sK2122),sK1214(X306,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X305,X304,cart(real,sK2122))))),s(X304,sK1213(X306,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X305,X304,cart(real,sK2122)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_95])]) ).
fof(f13473,plain,
( ! [X306,X305,X304] :
( ~ sQ2409_eqProxy(s(X304,sK1213(X306,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X305,X304,cart(real,sK2122))),s(X304,i(s(fun(cart(real,sK2122),X304),X306),s(cart(real,sK2122),sK2123))))
| sQ2409_eqProxy(s(X304,i(s(fun(cart(real,sK2122),X304),X306),s(cart(real,sK2122),sK1214(X306,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X305,X304,cart(real,sK2122))))),s(X304,sK1213(X306,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X305,X304,cart(real,sK2122))))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK1212(X306,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X305,X304,cart(real,sK2122))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X304,bool),num),card),s(fun(X304,bool),X305))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12081]) ).
fof(f12081,plain,
! [X2,X3,X0,X1,X6,X4] :
( sQ2409_eqProxy(s(num,i(s(fun(fun(X4,bool),num),card),s(fun(X4,bool),X1))),s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2))))
| ~ sQ2409_eqProxy(s(X3,sK1213(X0,X1,X2,X3,X4)),s(X3,i(s(fun(X4,X3),X0),s(X4,X6))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X6))),s(fun(X4,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X1))))
| p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,sK1212(X0,X1,X2,X3,X4)))),s(fun(X4,bool),X1))))
| sQ2409_eqProxy(s(X3,i(s(fun(X4,X3),X0),s(X4,sK1214(X0,X1,X2,X3,X4)))),s(X3,sK1213(X0,X1,X2,X3,X4))) ),
inference(equality_proxy_replacement,[],[f8729,f10758,f10758,f10758]) ).
fof(f8729,plain,
! [X2,X3,X0,X1,X6,X4] :
( p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,sK1212(X0,X1,X2,X3,X4)))),s(fun(X4,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X1))))
| s(num,i(s(fun(fun(X4,bool),num),card),s(fun(X4,bool),X1))) = s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2)))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X6))),s(fun(X4,bool),X1))))
| s(X3,sK1213(X0,X1,X2,X3,X4)) != s(X3,i(s(fun(X4,X3),X0),s(X4,X6)))
| s(X3,i(s(fun(X4,X3),X0),s(X4,sK1214(X0,X1,X2,X3,X4)))) = s(X3,sK1213(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f5541]) ).
fof(f14309,plain,
( ~ spl2410_94
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13425,f13303,f14306]) ).
fof(f14306,plain,
( spl2410_94
<=> sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))),s(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),bool)),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),fun(cart(real,sK2122),bool))),delete),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(cart(real,sK2122),sK2123)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_94])]) ).
fof(f13425,plain,
( ~ sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))),s(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),bool)),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),fun(cart(real,sK2122),bool))),delete),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(cart(real,sK2122),sK2123))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f10848]) ).
fof(f10848,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X0))),s(fun(X1,bool),X2))))
| ~ sQ2409_eqProxy(s(fun(X1,bool),X2),s(fun(X1,bool),i(s(fun(X1,fun(X1,bool)),i(s(fun(fun(X1,bool),fun(X1,fun(X1,bool))),delete),s(fun(X1,bool),X2))),s(X1,X0)))) ),
inference(equality_proxy_replacement,[],[f6555,f10758]) ).
fof(f6555,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X0))),s(fun(X1,bool),X2))))
| s(fun(X1,bool),X2) != s(fun(X1,bool),i(s(fun(X1,fun(X1,bool)),i(s(fun(fun(X1,bool),fun(X1,fun(X1,bool))),delete),s(fun(X1,bool),X2))),s(X1,X0))) ),
inference(cnf_transformation,[],[f4894]) ).
fof(f4894,plain,
! [X2,X0,X1] :
( s(fun(X1,bool),X2) = s(fun(X1,bool),i(s(fun(X1,fun(X1,bool)),i(s(fun(fun(X1,bool),fun(X1,fun(X1,bool))),delete),s(fun(X1,bool),X2))),s(X1,X0)))
<=> ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X0))),s(fun(X1,bool),X2)))) ),
inference(rectify,[],[f1785]) ).
fof(f1785,axiom,
! [X0,X3,X96] :
( ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96))))
<=> s(fun(X3,bool),X96) = s(fun(X3,bool),i(s(fun(X3,fun(X3,bool)),i(s(fun(fun(X3,bool),fun(X3,fun(X3,bool))),delete),s(fun(X3,bool),X96))),s(X3,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aDELETEu_NONu_ELEMENT) ).
fof(f14304,plain,
( spl2410_7
| spl2410_93
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13607,f13303,f14301,f13920]) ).
fof(f14301,plain,
( spl2410_93
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK1228(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_93])]) ).
fof(f13607,plain,
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK1228(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))))))
| sP1226(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f8773]) ).
fof(f8773,plain,
! [X0,X1,X7] :
( p(s(bool,i(s(fun(X0,bool),X1),s(X0,sK1228(X0,X1)))))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X7))))
| sP1226(X1,X0) ),
inference(cnf_transformation,[],[f5590]) ).
fof(f14299,plain,
( spl2410_92
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13540,f13303,f14296]) ).
fof(f14296,plain,
( spl2410_92
<=> sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),i(s(fun(fun(fun(cart(real,sK2122),bool),bool),fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool))),hull),s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_92])]) ).
fof(f13540,plain,
( sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),i(s(fun(fun(fun(cart(real,sK2122),bool),bool),fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool))),hull),s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12603]) ).
fof(f12603,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),X2),s(fun(X0,bool),X1))))
| sQ2409_eqProxy(s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),i(s(fun(fun(fun(X0,bool),bool),fun(fun(X0,bool),fun(X0,bool))),hull),s(fun(fun(X0,bool),bool),X2))),s(fun(X0,bool),X1))),s(fun(X0,bool),X1)) ),
inference(equality_proxy_replacement,[],[f9592,f10758]) ).
fof(f9592,plain,
! [X2,X0,X1] :
( s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),i(s(fun(fun(fun(X0,bool),bool),fun(fun(X0,bool),fun(X0,bool))),hull),s(fun(fun(X0,bool),bool),X2))),s(fun(X0,bool),X1))) = s(fun(X0,bool),X1)
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),X2),s(fun(X0,bool),X1)))) ),
inference(cnf_transformation,[],[f5191]) ).
fof(f5191,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),X2),s(fun(X0,bool),X1))))
| s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),i(s(fun(fun(fun(X0,bool),bool),fun(fun(X0,bool),fun(X0,bool))),hull),s(fun(fun(X0,bool),bool),X2))),s(fun(X0,bool),X1))) = s(fun(X0,bool),X1) ),
inference(ennf_transformation,[],[f4874]) ).
fof(f4874,plain,
! [X0,X2,X1] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),X2),s(fun(X0,bool),X1))))
=> s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),i(s(fun(fun(fun(X0,bool),bool),fun(fun(X0,bool),fun(X0,bool))),hull),s(fun(fun(X0,bool),bool),X2))),s(fun(X0,bool),X1))) = s(fun(X0,bool),X1) ),
inference(rectify,[],[f2688]) ).
fof(f2688,axiom,
! [X948,X96,X6] :
( p(s(bool,i(s(fun(fun(X948,bool),bool),X6),s(fun(X948,bool),X96))))
=> s(fun(X948,bool),X96) = s(fun(X948,bool),i(s(fun(fun(X948,bool),fun(X948,bool)),i(s(fun(fun(fun(X948,bool),bool),fun(fun(X948,bool),fun(X948,bool))),hull),s(fun(fun(X948,bool),bool),X6))),s(fun(X948,bool),X96))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aHULLu_P) ).
fof(f14294,plain,
( ~ spl2410_4
| spl2410_91
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13475,f13303,f14292,f13905]) ).
fof(f14292,plain,
( spl2410_91
<=> ! [X312,X311,X310] :
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK1212(X310,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X311,X312,cart(real,sK2122))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK1214(X310,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X311,X312,cart(real,sK2122))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X312,bool),num),card),s(fun(X312,bool),X311))))
| ~ sQ2409_eqProxy(s(X312,sK1213(X310,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X311,X312,cart(real,sK2122))),s(X312,i(s(fun(cart(real,sK2122),X312),X310),s(cart(real,sK2122),sK2123)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_91])]) ).
fof(f13475,plain,
( ! [X310,X312,X311] :
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK1212(X310,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X311,X312,cart(real,sK2122))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ sQ2409_eqProxy(s(X312,sK1213(X310,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X311,X312,cart(real,sK2122))),s(X312,i(s(fun(cart(real,sK2122),X312),X310),s(cart(real,sK2122),sK2123))))
| sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X312,bool),num),card),s(fun(X312,bool),X311))))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK1214(X310,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X311,X312,cart(real,sK2122))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12083]) ).
fof(f12083,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X1))))
| p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,sK1214(X0,X1,X2,X3,X4)))),s(fun(X4,bool),X1))))
| ~ sQ2409_eqProxy(s(X3,sK1213(X0,X1,X2,X3,X4)),s(X3,i(s(fun(X4,X3),X0),s(X4,X6))))
| p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,sK1212(X0,X1,X2,X3,X4)))),s(fun(X4,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X6))),s(fun(X4,bool),X1))))
| sQ2409_eqProxy(s(num,i(s(fun(fun(X4,bool),num),card),s(fun(X4,bool),X1))),s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2)))) ),
inference(equality_proxy_replacement,[],[f8727,f10758,f10758]) ).
fof(f8727,plain,
! [X2,X3,X0,X1,X6,X4] :
( p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,sK1212(X0,X1,X2,X3,X4)))),s(fun(X4,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X1))))
| s(num,i(s(fun(fun(X4,bool),num),card),s(fun(X4,bool),X1))) = s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2)))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X6))),s(fun(X4,bool),X1))))
| s(X3,sK1213(X0,X1,X2,X3,X4)) != s(X3,i(s(fun(X4,X3),X0),s(X4,X6)))
| p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,sK1214(X0,X1,X2,X3,X4)))),s(fun(X4,bool),X1)))) ),
inference(cnf_transformation,[],[f5541]) ).
fof(f14290,plain,
( spl2410_89
| ~ spl2410_90
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13319,f13303,f14287,f14283]) ).
fof(f14283,plain,
( spl2410_89
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),dependent),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_89])]) ).
fof(f14287,plain,
( spl2410_90
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),bool)),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),fun(cart(real,sK2122),bool))),delete),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(cart(real,sK2122),sK2123)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_90])]) ).
fof(f13319,plain,
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),bool)),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),fun(cart(real,sK2122),bool))),delete),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(cart(real,sK2122),sK2123))))))))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),dependent),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f7515]) ).
fof(f7515,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),dependent),s(fun(cart(real,X1),bool),X0))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X2))),s(fun(cart(real,X1),bool),X0))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X2))),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X1),bool)),span),s(fun(cart(real,X1),bool),i(s(fun(cart(real,X1),fun(cart(real,X1),bool)),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X1),fun(cart(real,X1),bool))),delete),s(fun(cart(real,X1),bool),X0))),s(cart(real,X1),X2)))))))) ),
inference(cnf_transformation,[],[f3784]) ).
fof(f3784,plain,
! [X1,X0] :
( ? [X2] :
( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X2))),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X1),bool)),span),s(fun(cart(real,X1),bool),i(s(fun(cart(real,X1),fun(cart(real,X1),bool)),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X1),fun(cart(real,X1),bool))),delete),s(fun(cart(real,X1),bool),X0))),s(cart(real,X1),X2))))))))
& p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X2))),s(fun(cart(real,X1),bool),X0)))) )
<=> p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),dependent),s(fun(cart(real,X1),bool),X0)))) ),
inference(rectify,[],[f3296]) ).
fof(f3296,axiom,
! [X96,X1362] :
( ? [X15] :
( p(s(bool,i(s(fun(fun(cart(real,X1362),bool),bool),i(s(fun(cart(real,X1362),fun(fun(cart(real,X1362),bool),bool)),in),s(cart(real,X1362),X15))),s(fun(cart(real,X1362),bool),i(s(fun(fun(cart(real,X1362),bool),fun(cart(real,X1362),bool)),span),s(fun(cart(real,X1362),bool),i(s(fun(cart(real,X1362),fun(cart(real,X1362),bool)),i(s(fun(fun(cart(real,X1362),bool),fun(cart(real,X1362),fun(cart(real,X1362),bool))),delete),s(fun(cart(real,X1362),bool),X96))),s(cart(real,X1362),X15))))))))
& p(s(bool,i(s(fun(fun(cart(real,X1362),bool),bool),i(s(fun(cart(real,X1362),fun(fun(cart(real,X1362),bool),bool)),in),s(cart(real,X1362),X15))),s(fun(cart(real,X1362),bool),X96)))) )
<=> p(s(bool,i(s(fun(fun(cart(real,X1362),bool),bool),dependent),s(fun(cart(real,X1362),bool),X96)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',adependent) ).
fof(f14281,plain,
( spl2410_88
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13682,f13303,f14278]) ).
fof(f14278,plain,
( spl2410_88
<=> sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),sK2252(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),fun(cart(real,sK2122),bool))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_88])]) ).
fof(f13682,plain,
( sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),sK2252(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),fun(cart(real,sK2122),bool))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f13113]) ).
fof(f13113,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(X2,bool),X0),s(X2,X1))))
| sQ2409_eqProxy(s(X2,sK2252(X0,X1,X2)),s(X2,X1)) ),
inference(equality_proxy_replacement,[],[f10479,f10758]) ).
fof(f10479,plain,
! [X2,X0,X1] :
( s(X2,sK2252(X0,X1,X2)) = s(X2,X1)
| ~ p(s(bool,i(s(fun(X2,bool),X0),s(X2,X1)))) ),
inference(cnf_transformation,[],[f3986]) ).
fof(f14276,plain,
( ~ spl2410_50
| spl2410_53
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13664,f13303,f14117,f14105]) ).
fof(f13664,plain,
( ! [X605] :
( sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),X605),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),X605))))
| ~ sP1275(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool)) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12135]) ).
fof(f14275,plain,
( spl2410_38
| spl2410_87
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13624,f13303,f14273,f14053]) ).
fof(f14053,plain,
( spl2410_38
<=> ! [X539] :
( sP2004(sK2000(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),X539),sK2001(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),X539),sK1999(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),X539),X539,i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(real,fun(fun(cart(real,sK2122),bool),bool)),X539),s(real,sK1997(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),X539)))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sP2003(sK1998(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),X539),X539,i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_38])]) ).
fof(f14273,plain,
( spl2410_87
<=> ! [X541,X543] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(fun(fun(cart(real,sK2122),bool),bool),fun(fun(cart(real,sK2122),bool),bool)),X541),s(fun(fun(cart(real,sK2122),bool),bool),sK1996(fun(cart(real,sK2122),bool),X541)))),s(fun(cart(real,sK2122),bool),sK1995(fun(cart(real,sK2122),bool),X541)))))
| ~ p(s(bool,i(s(fun(fun(fun(cart(real,sK2122),bool),bool),bool),finite),s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(fun(fun(cart(real,sK2122),bool),bool),fun(fun(cart(real,sK2122),bool),bool)),gspec),s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(fun(fun(cart(real,sK2122),bool),bool),fun(fun(cart(real,sK2122),bool),bool)),X541),s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(bool,fun(fun(cart(real,sK2122),bool),bool)),i(s(fun(fun(cart(real,sK2122),bool),fun(bool,fun(fun(cart(real,sK2122),bool),bool))),setspec),s(fun(cart(real,sK2122),bool),sK1995(fun(cart(real,sK2122),bool),X541)))),s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),sK1996(fun(cart(real,sK2122),bool),X541)),s(fun(cart(real,sK2122),bool),X543))))),s(fun(cart(real,sK2122),bool),X543)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_87])]) ).
fof(f13624,plain,
( ! [X541,X543,X542] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(fun(fun(cart(real,sK2122),bool),bool),fun(fun(cart(real,sK2122),bool),bool)),X541),s(fun(fun(cart(real,sK2122),bool),bool),sK1996(fun(cart(real,sK2122),bool),X541)))),s(fun(cart(real,sK2122),bool),sK1995(fun(cart(real,sK2122),bool),X541)))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(bool,fun(fun(cart(real,sK2122),bool),bool)),i(s(fun(fun(cart(real,sK2122),bool),fun(bool,fun(fun(cart(real,sK2122),bool),bool))),setspec),s(fun(cart(real,sK2122),bool),sK1995(fun(cart(real,sK2122),bool),X541)))),s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),sK1996(fun(cart(real,sK2122),bool),X541)),s(fun(cart(real,sK2122),bool),X543))))),s(fun(cart(real,sK2122),bool),X543))))
| ~ p(s(bool,i(s(fun(fun(fun(cart(real,sK2122),bool),bool),bool),finite),s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(fun(fun(cart(real,sK2122),bool),bool),fun(fun(cart(real,sK2122),bool),bool)),gspec),s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(fun(fun(cart(real,sK2122),bool),bool),fun(fun(cart(real,sK2122),bool),bool)),X541),s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))))))))
| sP2003(sK1998(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),X542),X542,i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))
| sP2004(sK2000(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),X542),sK2001(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),X542),sK1999(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),X542),X542,i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(real,fun(fun(cart(real,sK2122),bool),bool)),X542),s(real,sK1997(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),X542)))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f10006]) ).
fof(f10006,plain,
! [X0,X1,X6,X4,X5,X13] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),gspec),s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),X1),s(fun(X0,bool),X5))))))))
| p(s(bool,i(s(fun(X0,bool),i(s(fun(real,fun(X0,bool)),X6),s(real,sK1997(X0,X5,X6)))),s(X0,X13))))
| ~ p(s(bool,i(s(fun(X0,bool),X5),s(X0,X13))))
| sP2003(sK1998(X0,X5,X6),X6,X5,X0)
| sP2004(sK2000(X0,X5,X6),sK2001(X0,X5,X6),sK1999(X0,X5,X6),X6,X5,X0)
| ~ p(s(bool,i(s(fun(X0,bool),i(s(fun(bool,fun(X0,bool)),i(s(fun(X0,fun(bool,fun(X0,bool))),setspec),s(X0,sK1995(X0,X1)))),s(bool,i(s(fun(X0,bool),sK1996(X0,X1)),s(X0,X4))))),s(X0,X4))))
| ~ p(s(bool,i(s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),X1),s(fun(X0,bool),sK1996(X0,X1)))),s(X0,sK1995(X0,X1))))) ),
inference(cnf_transformation,[],[f6364]) ).
fof(f6364,plain,
! [X0,X1] :
( ? [X3,X2] :
( p(s(bool,i(s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),X1),s(fun(X0,bool),X2))),s(X0,X3))))
<~> ? [X4] : p(s(bool,i(s(fun(X0,bool),i(s(fun(bool,fun(X0,bool)),i(s(fun(X0,fun(bool,fun(X0,bool))),setspec),s(X0,X3))),s(bool,i(s(fun(X0,bool),X2),s(X0,X4))))),s(X0,X4)))) )
| ! [X5,X6] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),gspec),s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),X1),s(fun(X0,bool),X5))))))))
| ? [X9,X11,X10] :
( p(s(bool,i(s(fun(X0,bool),X5),s(X0,X11))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X10))),s(real,X9))))
& ~ p(s(bool,i(s(fun(X0,bool),i(s(fun(real,fun(X0,bool)),X6),s(real,X10))),s(X0,X11))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X10))))
& p(s(bool,i(s(fun(X0,bool),i(s(fun(real,fun(X0,bool)),X6),s(real,X9))),s(X0,X11)))) )
| ? [X7] :
( ! [X8] :
( ~ p(s(bool,i(s(fun(X0,bool),i(s(fun(real,fun(X0,bool)),X6),s(real,X8))),s(X0,X7))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X8)))) )
& p(s(bool,i(s(fun(X0,bool),X5),s(X0,X7)))) )
| ? [X12] :
( ! [X13] :
( p(s(bool,i(s(fun(X0,bool),i(s(fun(real,fun(X0,bool)),X6),s(real,X12))),s(X0,X13))))
| ~ p(s(bool,i(s(fun(X0,bool),X5),s(X0,X13)))) )
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X12)))) ) ) ),
inference(flattening,[],[f6363]) ).
fof(f6363,plain,
! [X1,X0] :
( ! [X5,X6] :
( ? [X12] :
( ! [X13] :
( p(s(bool,i(s(fun(X0,bool),i(s(fun(real,fun(X0,bool)),X6),s(real,X12))),s(X0,X13))))
| ~ p(s(bool,i(s(fun(X0,bool),X5),s(X0,X13)))) )
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X12)))) )
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),gspec),s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),X1),s(fun(X0,bool),X5))))))))
| ? [X10,X9,X11] :
( ~ p(s(bool,i(s(fun(X0,bool),i(s(fun(real,fun(X0,bool)),X6),s(real,X10))),s(X0,X11))))
& p(s(bool,i(s(fun(X0,bool),i(s(fun(real,fun(X0,bool)),X6),s(real,X9))),s(X0,X11))))
& p(s(bool,i(s(fun(X0,bool),X5),s(X0,X11))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X10))),s(real,X9))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X10)))) )
| ? [X7] :
( ! [X8] :
( ~ p(s(bool,i(s(fun(X0,bool),i(s(fun(real,fun(X0,bool)),X6),s(real,X8))),s(X0,X7))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X8)))) )
& p(s(bool,i(s(fun(X0,bool),X5),s(X0,X7)))) ) )
| ? [X3,X2] :
( p(s(bool,i(s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),X1),s(fun(X0,bool),X2))),s(X0,X3))))
<~> ? [X4] : p(s(bool,i(s(fun(X0,bool),i(s(fun(bool,fun(X0,bool)),i(s(fun(X0,fun(bool,fun(X0,bool))),setspec),s(X0,X3))),s(bool,i(s(fun(X0,bool),X2),s(X0,X4))))),s(X0,X4)))) ) ),
inference(ennf_transformation,[],[f4226]) ).
fof(f4226,plain,
! [X1,X0] :
( ! [X3,X2] :
( ? [X4] : p(s(bool,i(s(fun(X0,bool),i(s(fun(bool,fun(X0,bool)),i(s(fun(X0,fun(bool,fun(X0,bool))),setspec),s(X0,X3))),s(bool,i(s(fun(X0,bool),X2),s(X0,X4))))),s(X0,X4))))
<=> p(s(bool,i(s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),X1),s(fun(X0,bool),X2))),s(X0,X3)))) )
=> ! [X5,X6] :
( ( p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),gspec),s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),X1),s(fun(X0,bool),X5))))))))
& ! [X10,X9,X11] :
( ( p(s(bool,i(s(fun(X0,bool),X5),s(X0,X11))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X10))),s(real,X9))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X10)))) )
=> ( p(s(bool,i(s(fun(X0,bool),i(s(fun(real,fun(X0,bool)),X6),s(real,X9))),s(X0,X11))))
=> p(s(bool,i(s(fun(X0,bool),i(s(fun(real,fun(X0,bool)),X6),s(real,X10))),s(X0,X11)))) ) )
& ! [X7] :
( p(s(bool,i(s(fun(X0,bool),X5),s(X0,X7))))
=> ? [X8] :
( p(s(bool,i(s(fun(X0,bool),i(s(fun(real,fun(X0,bool)),X6),s(real,X8))),s(X0,X7))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X8)))) ) ) )
=> ? [X12] :
( ! [X13] :
( p(s(bool,i(s(fun(X0,bool),X5),s(X0,X13))))
=> p(s(bool,i(s(fun(X0,bool),i(s(fun(real,fun(X0,bool)),X6),s(real,X12))),s(X0,X13)))) )
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X12)))) ) ) ),
inference(rectify,[],[f2686]) ).
fof(f2686,axiom,
! [X3,X18] :
( ! [X4,X945] :
( p(s(bool,i(s(fun(X3,bool),i(s(fun(fun(X3,bool),fun(X3,bool)),X18),s(fun(X3,bool),X4))),s(X3,X945))))
<=> ? [X0] : p(s(bool,i(s(fun(X3,bool),i(s(fun(bool,fun(X3,bool)),i(s(fun(X3,fun(bool,fun(X3,bool))),setspec),s(X3,X945))),s(bool,i(s(fun(X3,bool),X4),s(X3,X0))))),s(X3,X0)))) )
=> ! [X4,X6] :
( ( ! [X0] :
( p(s(bool,i(s(fun(X3,bool),X4),s(X3,X0))))
=> ? [X86] :
( p(s(bool,i(s(fun(X3,bool),i(s(fun(real,fun(X3,bool)),X6),s(real,X86))),s(X3,X0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X86)))) ) )
& p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),i(s(fun(fun(X3,bool),fun(X3,bool)),gspec),s(fun(X3,bool),i(s(fun(fun(X3,bool),fun(X3,bool)),X18),s(fun(X3,bool),X4))))))))
& ! [X86,X25,X0] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X25))))
& p(s(bool,i(s(fun(X3,bool),X4),s(X3,X0))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X25))),s(real,X86)))) )
=> ( p(s(bool,i(s(fun(X3,bool),i(s(fun(real,fun(X3,bool)),X6),s(real,X86))),s(X3,X0))))
=> p(s(bool,i(s(fun(X3,bool),i(s(fun(real,fun(X3,bool)),X6),s(real,X25))),s(X3,X0)))) ) ) )
=> ? [X86] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X86))))
& ! [X0] :
( p(s(bool,i(s(fun(X3,bool),X4),s(X3,X0))))
=> p(s(bool,i(s(fun(X3,bool),i(s(fun(real,fun(X3,bool)),X6),s(real,X86))),s(X3,X0)))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aEPSILONu_DELTAu_MINIMAL) ).
fof(f14271,plain,
( spl2410_86
| ~ spl2410_4
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13432,f13303,f13905,f14269]) ).
fof(f14269,plain,
( spl2410_86
<=> ! [X209] : sQ2409_eqProxy(s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),bool)),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),fun(cart(real,sK2122),bool))),delete),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(cart(real,sK2122),sK2123))))),s(fun(cart(real,sK2122),real),X209))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),X209))))),s(real,i(s(fun(cart(real,sK2122),real),X209),s(cart(real,sK2122),sK2123)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_86])]) ).
fof(f13432,plain,
( ! [X209] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),bool)),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),fun(cart(real,sK2122),bool))),delete),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(cart(real,sK2122),sK2123))))),s(fun(cart(real,sK2122),real),X209))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),X209))))),s(real,i(s(fun(cart(real,sK2122),real),X209),s(cart(real,sK2122),sK2123)))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f11117]) ).
fof(f11117,plain,
! [X2,X3,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X3))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X2))),s(fun(X0,bool),X3))))
| sQ2409_eqProxy(s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),i(s(fun(X0,fun(X0,bool)),i(s(fun(fun(X0,bool),fun(X0,fun(X0,bool))),delete),s(fun(X0,bool),X3))),s(X0,X2))))),s(fun(X0,real),X1))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X3))),s(fun(X0,real),X1))))),s(real,i(s(fun(X0,real),X1),s(X0,X2)))))) ),
inference(equality_proxy_replacement,[],[f6954,f10758]) ).
fof(f6954,plain,
! [X2,X3,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X2))),s(fun(X0,bool),X3))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X3))))
| s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),i(s(fun(X0,fun(X0,bool)),i(s(fun(fun(X0,bool),fun(X0,fun(X0,bool))),delete),s(fun(X0,bool),X3))),s(X0,X2))))),s(fun(X0,real),X1))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X3))),s(fun(X0,real),X1))))),s(real,i(s(fun(X0,real),X1),s(X0,X2))))) ),
inference(cnf_transformation,[],[f5184]) ).
fof(f5184,plain,
! [X2,X3,X1,X0] :
( s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),i(s(fun(X0,fun(X0,bool)),i(s(fun(fun(X0,bool),fun(X0,fun(X0,bool))),delete),s(fun(X0,bool),X3))),s(X0,X2))))),s(fun(X0,real),X1))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X3))),s(fun(X0,real),X1))))),s(real,i(s(fun(X0,real),X1),s(X0,X2)))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X3))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X2))),s(fun(X0,bool),X3)))) ),
inference(flattening,[],[f5183]) ).
fof(f5183,plain,
! [X1,X2,X3,X0] :
( s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),i(s(fun(X0,fun(X0,bool)),i(s(fun(fun(X0,bool),fun(X0,fun(X0,bool))),delete),s(fun(X0,bool),X3))),s(X0,X2))))),s(fun(X0,real),X1))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X3))),s(fun(X0,real),X1))))),s(real,i(s(fun(X0,real),X1),s(X0,X2)))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X3))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X2))),s(fun(X0,bool),X3)))) ),
inference(ennf_transformation,[],[f4902]) ).
fof(f4902,plain,
! [X1,X2,X3,X0] :
( ( p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X3))))
& p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X2))),s(fun(X0,bool),X3)))) )
=> s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),i(s(fun(X0,fun(X0,bool)),i(s(fun(fun(X0,bool),fun(X0,fun(X0,bool))),delete),s(fun(X0,bool),X3))),s(X0,X2))))),s(fun(X0,real),X1))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X3))),s(fun(X0,real),X1))))),s(real,i(s(fun(X0,real),X1),s(X0,X2))))) ),
inference(rectify,[],[f2285]) ).
fof(f2285,axiom,
! [X703,X10,X15,X96] :
( ( p(s(bool,i(s(fun(fun(X703,bool),bool),finite),s(fun(X703,bool),X96))))
& p(s(bool,i(s(fun(fun(X703,bool),bool),i(s(fun(X703,fun(fun(X703,bool),bool)),in),s(X703,X15))),s(fun(X703,bool),X96)))) )
=> s(real,i(s(fun(fun(X703,real),real),i(s(fun(fun(X703,bool),fun(fun(X703,real),real)),sum),s(fun(X703,bool),i(s(fun(X703,fun(X703,bool)),i(s(fun(fun(X703,bool),fun(X703,fun(X703,bool))),delete),s(fun(X703,bool),X96))),s(X703,X15))))),s(fun(X703,real),X10))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(fun(X703,real),real),i(s(fun(fun(X703,bool),fun(fun(X703,real),real)),sum),s(fun(X703,bool),X96))),s(fun(X703,real),X10))))),s(real,i(s(fun(X703,real),X10),s(X703,X15))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSUMu_DELETE) ).
fof(f14267,plain,
( spl2410_50
| spl2410_85
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13610,f13303,f14264,f14105]) ).
fof(f14264,plain,
( spl2410_85
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK1276(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_85])]) ).
fof(f13610,plain,
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK1276(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))))))
| sP1275(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f8844]) ).
fof(f8844,plain,
! [X0,X1,X4] :
( ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X4))))
| sP1275(X1,X0)
| p(s(bool,i(s(fun(X0,bool),X1),s(X0,sK1276(X0,X1))))) ),
inference(cnf_transformation,[],[f6417]) ).
fof(f14262,plain,
( spl2410_15
| spl2410_84
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13538,f13303,f14260,f13954]) ).
fof(f13954,plain,
( spl2410_15
<=> sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),i(s(fun(fun(fun(cart(real,sK2122),bool),bool),fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool))),hull),s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_15])]) ).
fof(f14260,plain,
( spl2410_84
<=> ! [X462] :
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),X462))))
| ~ p(s(bool,i(s(fun(fun(fun(cart(real,sK2122),bool),bool),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(fun(cart(real,sK2122),bool),bool),bool)),in),s(fun(cart(real,sK2122),bool),X462))),s(fun(fun(cart(real,sK2122),bool),bool),sK1322(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),cart(real,sK2122)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_84])]) ).
fof(f13538,plain,
( ! [X462] :
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),X462))))
| ~ p(s(bool,i(s(fun(fun(fun(cart(real,sK2122),bool),bool),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(fun(cart(real,sK2122),bool),bool),bool)),in),s(fun(cart(real,sK2122),bool),X462))),s(fun(fun(cart(real,sK2122),bool),bool),sK1322(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),cart(real,sK2122))))))
| sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),i(s(fun(fun(fun(cart(real,sK2122),bool),bool),fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool))),hull),s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12194]) ).
fof(f12194,plain,
! [X2,X0,X1,X4] :
( ~ p(s(bool,i(s(fun(fun(X2,bool),bool),X0),s(fun(X2,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(fun(X2,bool),bool),bool),i(s(fun(fun(X2,bool),fun(fun(fun(X2,bool),bool),bool)),in),s(fun(X2,bool),X4))),s(fun(fun(X2,bool),bool),sK1322(X0,X2)))))
| sQ2409_eqProxy(s(fun(X2,bool),X1),s(fun(X2,bool),i(s(fun(fun(X2,bool),fun(X2,bool)),i(s(fun(fun(fun(X2,bool),bool),fun(fun(X2,bool),fun(X2,bool))),hull),s(fun(fun(X2,bool),bool),X0))),s(fun(X2,bool),X1))))
| p(s(bool,i(s(fun(fun(X2,bool),bool),X0),s(fun(X2,bool),X4)))) ),
inference(equality_proxy_replacement,[],[f8925,f10758]) ).
fof(f8925,plain,
! [X2,X0,X1,X4] :
( p(s(bool,i(s(fun(fun(X2,bool),bool),X0),s(fun(X2,bool),X4))))
| ~ p(s(bool,i(s(fun(fun(fun(X2,bool),bool),bool),i(s(fun(fun(X2,bool),fun(fun(fun(X2,bool),bool),bool)),in),s(fun(X2,bool),X4))),s(fun(fun(X2,bool),bool),sK1322(X0,X2)))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),X0),s(fun(X2,bool),X1))))
| s(fun(X2,bool),X1) = s(fun(X2,bool),i(s(fun(fun(X2,bool),fun(X2,bool)),i(s(fun(fun(fun(X2,bool),bool),fun(fun(X2,bool),fun(X2,bool))),hull),s(fun(fun(X2,bool),bool),X0))),s(fun(X2,bool),X1))) ),
inference(cnf_transformation,[],[f5788]) ).
fof(f5788,plain,
! [X0,X2,X1] :
( ( s(fun(X2,bool),X1) = s(fun(X2,bool),i(s(fun(fun(X2,bool),fun(X2,bool)),i(s(fun(fun(fun(X2,bool),bool),fun(fun(X2,bool),fun(X2,bool))),hull),s(fun(fun(X2,bool),bool),X0))),s(fun(X2,bool),X1)))
<=> p(s(bool,i(s(fun(fun(X2,bool),bool),X0),s(fun(X2,bool),X1)))) )
| ? [X3] :
( ~ p(s(bool,i(s(fun(fun(X2,bool),bool),X0),s(fun(X2,bool),i(s(fun(fun(fun(X2,bool),bool),fun(X2,bool)),inters),s(fun(fun(X2,bool),bool),X3))))))
& ! [X4] :
( ~ p(s(bool,i(s(fun(fun(fun(X2,bool),bool),bool),i(s(fun(fun(X2,bool),fun(fun(fun(X2,bool),bool),bool)),in),s(fun(X2,bool),X4))),s(fun(fun(X2,bool),bool),X3))))
| p(s(bool,i(s(fun(fun(X2,bool),bool),X0),s(fun(X2,bool),X4)))) ) ) ),
inference(ennf_transformation,[],[f4921]) ).
fof(f4921,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( p(s(bool,i(s(fun(fun(fun(X2,bool),bool),bool),i(s(fun(fun(X2,bool),fun(fun(fun(X2,bool),bool),bool)),in),s(fun(X2,bool),X4))),s(fun(fun(X2,bool),bool),X3))))
=> p(s(bool,i(s(fun(fun(X2,bool),bool),X0),s(fun(X2,bool),X4)))) )
=> p(s(bool,i(s(fun(fun(X2,bool),bool),X0),s(fun(X2,bool),i(s(fun(fun(fun(X2,bool),bool),fun(X2,bool)),inters),s(fun(fun(X2,bool),bool),X3)))))) )
=> ( s(fun(X2,bool),X1) = s(fun(X2,bool),i(s(fun(fun(X2,bool),fun(X2,bool)),i(s(fun(fun(fun(X2,bool),bool),fun(fun(X2,bool),fun(X2,bool))),hull),s(fun(fun(X2,bool),bool),X0))),s(fun(X2,bool),X1)))
<=> p(s(bool,i(s(fun(fun(X2,bool),bool),X0),s(fun(X2,bool),X1)))) ) ),
inference(rectify,[],[f2690]) ).
fof(f2690,axiom,
! [X6,X96,X950] :
( ! [X10] :
( ! [X96] :
( p(s(bool,i(s(fun(fun(fun(X950,bool),bool),bool),i(s(fun(fun(X950,bool),fun(fun(fun(X950,bool),bool),bool)),in),s(fun(X950,bool),X96))),s(fun(fun(X950,bool),bool),X10))))
=> p(s(bool,i(s(fun(fun(X950,bool),bool),X6),s(fun(X950,bool),X96)))) )
=> p(s(bool,i(s(fun(fun(X950,bool),bool),X6),s(fun(X950,bool),i(s(fun(fun(fun(X950,bool),bool),fun(X950,bool)),inters),s(fun(fun(X950,bool),bool),X10)))))) )
=> ( p(s(bool,i(s(fun(fun(X950,bool),bool),X6),s(fun(X950,bool),X96))))
<=> s(fun(X950,bool),X96) = s(fun(X950,bool),i(s(fun(fun(X950,bool),fun(X950,bool)),i(s(fun(fun(fun(X950,bool),bool),fun(fun(X950,bool),fun(X950,bool))),hull),s(fun(fun(X950,bool),bool),X6))),s(fun(X950,bool),X96))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aHULLu_EQ) ).
fof(f14258,plain,
( ~ spl2410_4
| spl2410_83
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13521,f13303,f14256,f13905]) ).
fof(f14256,plain,
( spl2410_83
<=> ! [X445,X446,X444] :
( ~ sQ2409_eqProxy(s(X445,i(s(fun(cart(real,sK2122),X445),X446),s(cart(real,sK2122),sK2123))),s(X445,i(s(fun(cart(real,sK2122),X445),X446),s(cart(real,sK2122),X444))))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(X445,bool),num),card),s(fun(X445,bool),i(s(fun(fun(cart(real,sK2122),bool),fun(X445,bool)),i(s(fun(fun(cart(real,sK2122),X445),fun(fun(cart(real,sK2122),bool),fun(X445,bool))),image),s(fun(cart(real,sK2122),X445),X446))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))),s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(cart(real,sK2122),sK2123),s(cart(real,sK2122),X444))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),X444))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_83])]) ).
fof(f13521,plain,
( ! [X446,X445,X444] :
( ~ sQ2409_eqProxy(s(X445,i(s(fun(cart(real,sK2122),X445),X446),s(cart(real,sK2122),sK2123))),s(X445,i(s(fun(cart(real,sK2122),X445),X446),s(cart(real,sK2122),X444))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),X444))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(cart(real,sK2122),sK2123),s(cart(real,sK2122),X444))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(X445,bool),num),card),s(fun(X445,bool),i(s(fun(fun(cart(real,sK2122),bool),fun(X445,bool)),i(s(fun(fun(cart(real,sK2122),X445),fun(fun(cart(real,sK2122),bool),fun(X445,bool))),image),s(fun(cart(real,sK2122),X445),X446))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))),s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f13272]) ).
fof(f13272,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X4))),s(fun(X0,bool),X1))))
| ~ sQ2409_eqProxy(s(X3,i(s(fun(X0,X3),X2),s(X0,X5))),s(X3,i(s(fun(X0,X3),X2),s(X0,X4))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X5))),s(fun(X0,bool),X1))))
| sQ2409_eqProxy(s(X0,X5),s(X0,X4))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),i(s(fun(fun(X0,bool),fun(X3,bool)),i(s(fun(fun(X0,X3),fun(fun(X0,bool),fun(X3,bool))),image),s(fun(X0,X3),X2))),s(fun(X0,bool),X1))))),s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X1)))) ),
inference(equality_proxy_replacement,[],[f10724,f10758,f10758,f10758]) ).
fof(f10724,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X1))))
| s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),i(s(fun(fun(X0,bool),fun(X3,bool)),i(s(fun(fun(X0,X3),fun(fun(X0,bool),fun(X3,bool))),image),s(fun(X0,X3),X2))),s(fun(X0,bool),X1))))) != s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X1)))
| s(X0,X5) = s(X0,X4)
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X5))),s(fun(X0,bool),X1))))
| s(X3,i(s(fun(X0,X3),X2),s(X0,X5))) != s(X3,i(s(fun(X0,X3),X2),s(X0,X4)))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X4))),s(fun(X0,bool),X1)))) ),
inference(cnf_transformation,[],[f5553]) ).
fof(f5553,plain,
! [X1,X3,X2,X0] :
( ( ! [X4,X5] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X4))),s(fun(X0,bool),X1))))
| s(X3,i(s(fun(X0,X3),X2),s(X0,X5))) != s(X3,i(s(fun(X0,X3),X2),s(X0,X4)))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X5))),s(fun(X0,bool),X1))))
| s(X0,X5) = s(X0,X4) )
<=> s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),i(s(fun(fun(X0,bool),fun(X3,bool)),i(s(fun(fun(X0,X3),fun(fun(X0,bool),fun(X3,bool))),image),s(fun(X0,X3),X2))),s(fun(X0,bool),X1))))) = s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X1))) )
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X1)))) ),
inference(flattening,[],[f5552]) ).
fof(f5552,plain,
! [X2,X1,X3,X0] :
( ( ! [X4,X5] :
( s(X0,X5) = s(X0,X4)
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X4))),s(fun(X0,bool),X1))))
| s(X3,i(s(fun(X0,X3),X2),s(X0,X5))) != s(X3,i(s(fun(X0,X3),X2),s(X0,X4)))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X5))),s(fun(X0,bool),X1)))) )
<=> s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),i(s(fun(fun(X0,bool),fun(X3,bool)),i(s(fun(fun(X0,X3),fun(fun(X0,bool),fun(X3,bool))),image),s(fun(X0,X3),X2))),s(fun(X0,bool),X1))))) = s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X1))) )
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X1)))) ),
inference(ennf_transformation,[],[f4072]) ).
fof(f4072,plain,
! [X2,X1,X3,X0] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X1))))
=> ( ! [X4,X5] :
( ( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X4))),s(fun(X0,bool),X1))))
& s(X3,i(s(fun(X0,X3),X2),s(X0,X5))) = s(X3,i(s(fun(X0,X3),X2),s(X0,X4)))
& p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X5))),s(fun(X0,bool),X1)))) )
=> s(X0,X5) = s(X0,X4) )
<=> s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),i(s(fun(fun(X0,bool),fun(X3,bool)),i(s(fun(fun(X0,X3),fun(fun(X0,bool),fun(X3,bool))),image),s(fun(X0,X3),X2))),s(fun(X0,bool),X1))))) = s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X1))) ) ),
inference(rectify,[],[f1963]) ).
fof(f1963,axiom,
! [X3,X96,X10,X9] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X96))))
=> ( ! [X7,X0] :
( ( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X7))),s(fun(X3,bool),X96))))
& s(X9,i(s(fun(X3,X9),X10),s(X3,X7))) = s(X9,i(s(fun(X3,X9),X10),s(X3,X0)))
& p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96)))) )
=> s(X3,X0) = s(X3,X7) )
<=> s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X96))) = s(num,i(s(fun(fun(X9,bool),num),card),s(fun(X9,bool),i(s(fun(fun(X3,bool),fun(X9,bool)),i(s(fun(fun(X3,X9),fun(fun(X3,bool),fun(X9,bool))),image),s(fun(X3,X9),X10))),s(fun(X3,bool),X96))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aCARDu_IMAGEu_EQu_INJ) ).
fof(f14254,plain,
( spl2410_82
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13617,f13303,f14251]) ).
fof(f14251,plain,
( spl2410_82
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK1932(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_82])]) ).
fof(f13617,plain,
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK1932(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f9889]) ).
fof(f9889,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(X1,bool),X0),s(X1,sK1932(X0,X1)))))
| ~ p(s(bool,i(s(fun(X1,bool),X0),s(X1,X2)))) ),
inference(cnf_transformation,[],[f5418]) ).
fof(f14249,plain,
( ~ spl2410_80
| spl2410_81
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13672,f13303,f14246,f14242]) ).
fof(f14242,plain,
( spl2410_80
<=> sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),sK1846(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))),s(fun(cart(real,sK2122),bool),sK1847(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_80])]) ).
fof(f13672,plain,
( sP1845(sK1844(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))
| ~ sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),sK1846(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))),s(fun(cart(real,sK2122),bool),sK1847(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12693]) ).
fof(f12693,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))
| ~ sQ2409_eqProxy(s(X0,sK1846(X0,X1)),s(X0,sK1847(X0,X1)))
| sP1845(sK1844(X0,X1),X1,X0) ),
inference(equality_proxy_replacement,[],[f9748,f10758]) ).
fof(f9748,plain,
! [X2,X0,X1] :
( s(X0,sK1846(X0,X1)) != s(X0,sK1847(X0,X1))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))
| sP1845(sK1844(X0,X1),X1,X0) ),
inference(cnf_transformation,[],[f5705]) ).
fof(f14239,plain,
( spl2410_79
| spl2410_7
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13608,f13303,f13920,f14236]) ).
fof(f14236,plain,
( spl2410_79
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK1229(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_79])]) ).
fof(f13608,plain,
( sP1226(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK1229(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f8774]) ).
fof(f8774,plain,
! [X0,X1,X7] :
( sP1226(X1,X0)
| p(s(bool,i(s(fun(X0,bool),X1),s(X0,sK1229(X0,X1)))))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X7)))) ),
inference(cnf_transformation,[],[f5590]) ).
fof(f14234,plain,
( ~ spl2410_4
| spl2410_78
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13498,f13303,f14232,f13905]) ).
fof(f14232,plain,
( spl2410_78
<=> ! [X372,X373,X374,X371] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),X374))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ sQ2409_eqProxy(s(fun(X371,bool),i(s(fun(fun(cart(real,sK2122),bool),fun(X371,bool)),i(s(fun(fun(cart(real,sK2122),X371),fun(fun(cart(real,sK2122),bool),fun(X371,bool))),image),s(fun(cart(real,sK2122),X371),X372))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(X371,bool),X373))
| ~ sQ2409_eqProxy(s(X371,i(s(fun(cart(real,sK2122),X371),X372),s(cart(real,sK2122),sK2123))),s(X371,i(s(fun(cart(real,sK2122),X371),X372),s(cart(real,sK2122),X374))))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(X371,bool),num),card),s(fun(X371,bool),X373))),s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(cart(real,sK2122),X374),s(cart(real,sK2122),sK2123)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_78])]) ).
fof(f13498,plain,
( ! [X371,X374,X373,X372] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),X374))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(cart(real,sK2122),X374),s(cart(real,sK2122),sK2123))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ sQ2409_eqProxy(s(fun(X371,bool),i(s(fun(fun(cart(real,sK2122),bool),fun(X371,bool)),i(s(fun(fun(cart(real,sK2122),X371),fun(fun(cart(real,sK2122),bool),fun(X371,bool))),image),s(fun(cart(real,sK2122),X371),X372))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(X371,bool),X373))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(X371,bool),num),card),s(fun(X371,bool),X373))),s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ sQ2409_eqProxy(s(X371,i(s(fun(cart(real,sK2122),X371),X372),s(cart(real,sK2122),sK2123))),s(X371,i(s(fun(cart(real,sK2122),X371),X372),s(cart(real,sK2122),X374)))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12846]) ).
fof(f12846,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sQ2409_eqProxy(s(fun(X0,bool),i(s(fun(fun(X1,bool),fun(X0,bool)),i(s(fun(fun(X1,X0),fun(fun(X1,bool),fun(X0,bool))),image),s(fun(X1,X0),X2))),s(fun(X1,bool),X3))),s(fun(X0,bool),X4))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X5))),s(fun(X1,bool),X3))))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X4))),s(num,i(s(fun(fun(X1,bool),num),card),s(fun(X1,bool),X3))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X3))))
| ~ sQ2409_eqProxy(s(X0,i(s(fun(X1,X0),X2),s(X1,X6))),s(X0,i(s(fun(X1,X0),X2),s(X1,X5))))
| sQ2409_eqProxy(s(X1,X5),s(X1,X6))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X6))),s(fun(X1,bool),X3)))) ),
inference(equality_proxy_replacement,[],[f9995,f10758,f10758,f10758,f10758]) ).
fof(f9995,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X3))))
| s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X4))) != s(num,i(s(fun(fun(X1,bool),num),card),s(fun(X1,bool),X3)))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X5))),s(fun(X1,bool),X3))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X6))),s(fun(X1,bool),X3))))
| s(X0,i(s(fun(X1,X0),X2),s(X1,X6))) != s(X0,i(s(fun(X1,X0),X2),s(X1,X5)))
| s(X1,X5) = s(X1,X6)
| s(fun(X0,bool),i(s(fun(fun(X1,bool),fun(X0,bool)),i(s(fun(fun(X1,X0),fun(fun(X1,bool),fun(X0,bool))),image),s(fun(X1,X0),X2))),s(fun(X1,bool),X3))) != s(fun(X0,bool),X4) ),
inference(cnf_transformation,[],[f6078]) ).
fof(f6078,plain,
! [X4,X1,X3,X0,X2] :
( s(fun(X0,bool),i(s(fun(fun(X1,bool),fun(X0,bool)),i(s(fun(fun(X1,X0),fun(fun(X1,bool),fun(X0,bool))),image),s(fun(X1,X0),X2))),s(fun(X1,bool),X3))) != s(fun(X0,bool),X4)
| ! [X5,X6] :
( s(X1,X5) = s(X1,X6)
| s(X0,i(s(fun(X1,X0),X2),s(X1,X6))) != s(X0,i(s(fun(X1,X0),X2),s(X1,X5)))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X6))),s(fun(X1,bool),X3))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X5))),s(fun(X1,bool),X3)))) )
| s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X4))) != s(num,i(s(fun(fun(X1,bool),num),card),s(fun(X1,bool),X3)))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X3)))) ),
inference(flattening,[],[f6077]) ).
fof(f6077,plain,
! [X1,X3,X4,X2,X0] :
( ! [X5,X6] :
( s(X1,X5) = s(X1,X6)
| s(X0,i(s(fun(X1,X0),X2),s(X1,X6))) != s(X0,i(s(fun(X1,X0),X2),s(X1,X5)))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X5))),s(fun(X1,bool),X3))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X6))),s(fun(X1,bool),X3)))) )
| s(fun(X0,bool),i(s(fun(fun(X1,bool),fun(X0,bool)),i(s(fun(fun(X1,X0),fun(fun(X1,bool),fun(X0,bool))),image),s(fun(X1,X0),X2))),s(fun(X1,bool),X3))) != s(fun(X0,bool),X4)
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X3))))
| s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X4))) != s(num,i(s(fun(fun(X1,bool),num),card),s(fun(X1,bool),X3))) ),
inference(ennf_transformation,[],[f4085]) ).
fof(f4085,plain,
! [X1,X3,X4,X2,X0] :
( ( s(fun(X0,bool),i(s(fun(fun(X1,bool),fun(X0,bool)),i(s(fun(fun(X1,X0),fun(fun(X1,bool),fun(X0,bool))),image),s(fun(X1,X0),X2))),s(fun(X1,bool),X3))) = s(fun(X0,bool),X4)
& p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X3))))
& s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X4))) = s(num,i(s(fun(fun(X1,bool),num),card),s(fun(X1,bool),X3))) )
=> ! [X5,X6] :
( ( s(X0,i(s(fun(X1,X0),X2),s(X1,X6))) = s(X0,i(s(fun(X1,X0),X2),s(X1,X5)))
& p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X5))),s(fun(X1,bool),X3))))
& p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X6))),s(fun(X1,bool),X3)))) )
=> s(X1,X5) = s(X1,X6) ) ),
inference(rectify,[],[f2038]) ).
fof(f2038,axiom,
! [X9,X3,X10,X96,X14] :
( ( s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X96))) = s(num,i(s(fun(fun(X9,bool),num),card),s(fun(X9,bool),X14)))
& s(fun(X9,bool),i(s(fun(fun(X3,bool),fun(X9,bool)),i(s(fun(fun(X3,X9),fun(fun(X3,bool),fun(X9,bool))),image),s(fun(X3,X9),X10))),s(fun(X3,bool),X96))) = s(fun(X9,bool),X14)
& p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X96)))) )
=> ! [X7,X0] :
( ( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96))))
& s(X9,i(s(fun(X3,X9),X10),s(X3,X7))) = s(X9,i(s(fun(X3,X9),X10),s(X3,X0)))
& p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X7))),s(fun(X3,bool),X96)))) )
=> s(X3,X0) = s(X3,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aIMAGEu_IMPu_INJECTIVEu_GEN) ).
fof(f14230,plain,
( spl2410_10
| spl2410_77
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13546,f13303,f14227,f13932]) ).
fof(f14227,plain,
( spl2410_77
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK988(in,cart(real,sK2122),fun(cart(real,sK2122),bool),sK2123))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_77])]) ).
fof(f13546,plain,
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK988(in,cart(real,sK2122),fun(cart(real,sK2122),bool),sK2123)))))
| sP983(sK2123,fun(cart(real,sK2122),bool),cart(real,sK2122),in)
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f8296]) ).
fof(f8296,plain,
! [X2,X3,X0,X1,X4] :
( sP983(X3,X2,X1,X0)
| ~ p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,X4))))
| p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,sK988(X0,X1,X2,X3))))) ),
inference(cnf_transformation,[],[f5885]) ).
fof(f14225,plain,
( ~ spl2410_4
| spl2410_76
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13483,f13303,f14223,f13905]) ).
fof(f14223,plain,
( spl2410_76
<=> ! [X333,X334,X335] :
( ~ sQ2409_eqProxy(s(cart(real,sK2122),sK1244(X334,X333,cart(real,sK2122))),s(cart(real,sK2122),sK1245(X334,X333,cart(real,sK2122))))
| sQ2409_eqProxy(s(X333,i(s(fun(X333,X333),i(s(fun(cart(real,sK2122),fun(X333,X333)),X334),s(cart(real,sK2122),sK2123))),s(X333,i(s(fun(fun(cart(real,sK2122),bool),X333),sK1247(X334,X335,X333,cart(real,sK2122))),s(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),bool)),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),fun(cart(real,sK2122),bool))),delete),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(cart(real,sK2122),sK2123))))))),s(X333,i(s(fun(fun(cart(real,sK2122),bool),X333),sK1247(X334,X335,X333,cart(real,sK2122))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_76])]) ).
fof(f13483,plain,
( ! [X333,X335,X334] :
( ~ sQ2409_eqProxy(s(cart(real,sK2122),sK1244(X334,X333,cart(real,sK2122))),s(cart(real,sK2122),sK1245(X334,X333,cart(real,sK2122))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(X333,i(s(fun(X333,X333),i(s(fun(cart(real,sK2122),fun(X333,X333)),X334),s(cart(real,sK2122),sK2123))),s(X333,i(s(fun(fun(cart(real,sK2122),bool),X333),sK1247(X334,X335,X333,cart(real,sK2122))),s(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),bool)),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),fun(cart(real,sK2122),bool))),delete),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(cart(real,sK2122),sK2123))))))),s(X333,i(s(fun(fun(cart(real,sK2122),bool),X333),sK1247(X334,X335,X333,cart(real,sK2122))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12122]) ).
fof(f12122,plain,
! [X2,X3,X0,X1,X8,X9] :
( sQ2409_eqProxy(s(X2,i(s(fun(X2,X2),i(s(fun(X3,fun(X2,X2)),X0),s(X3,X9))),s(X2,i(s(fun(fun(X3,bool),X2),sK1247(X0,X1,X2,X3)),s(fun(X3,bool),i(s(fun(X3,fun(X3,bool)),i(s(fun(fun(X3,bool),fun(X3,fun(X3,bool))),delete),s(fun(X3,bool),X8))),s(X3,X9))))))),s(X2,i(s(fun(fun(X3,bool),X2),sK1247(X0,X1,X2,X3)),s(fun(X3,bool),X8))))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X9))),s(fun(X3,bool),X8))))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X8))))
| ~ sQ2409_eqProxy(s(X3,sK1244(X0,X2,X3)),s(X3,sK1245(X0,X2,X3))) ),
inference(equality_proxy_replacement,[],[f8788,f10758,f10758]) ).
fof(f8788,plain,
! [X2,X3,X0,X1,X8,X9] :
( s(X3,sK1244(X0,X2,X3)) != s(X3,sK1245(X0,X2,X3))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X9))),s(fun(X3,bool),X8))))
| s(X2,i(s(fun(X2,X2),i(s(fun(X3,fun(X2,X2)),X0),s(X3,X9))),s(X2,i(s(fun(fun(X3,bool),X2),sK1247(X0,X1,X2,X3)),s(fun(X3,bool),i(s(fun(X3,fun(X3,bool)),i(s(fun(fun(X3,bool),fun(X3,fun(X3,bool))),delete),s(fun(X3,bool),X8))),s(X3,X9))))))) = s(X2,i(s(fun(fun(X3,bool),X2),sK1247(X0,X1,X2,X3)),s(fun(X3,bool),X8)))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X8)))) ),
inference(cnf_transformation,[],[f5365]) ).
fof(f5365,plain,
! [X3,X1,X0,X2] :
( ? [X7] :
( s(X2,X1) = s(X2,i(s(fun(fun(X3,bool),X2),X7),s(fun(X3,bool),empty)))
& ! [X9,X8] :
( ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X8))))
| s(X2,i(s(fun(X2,X2),i(s(fun(X3,fun(X2,X2)),X0),s(X3,X9))),s(X2,i(s(fun(fun(X3,bool),X2),X7),s(fun(X3,bool),i(s(fun(X3,fun(X3,bool)),i(s(fun(fun(X3,bool),fun(X3,fun(X3,bool))),delete),s(fun(X3,bool),X8))),s(X3,X9))))))) = s(X2,i(s(fun(fun(X3,bool),X2),X7),s(fun(X3,bool),X8)))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X9))),s(fun(X3,bool),X8)))) ) )
| ? [X5,X4,X6] :
( s(X2,i(s(fun(X2,X2),i(s(fun(X3,fun(X2,X2)),X0),s(X3,X4))),s(X2,i(s(fun(X2,X2),i(s(fun(X3,fun(X2,X2)),X0),s(X3,X5))),s(X2,X6))))) != s(X2,i(s(fun(X2,X2),i(s(fun(X3,fun(X2,X2)),X0),s(X3,X5))),s(X2,i(s(fun(X2,X2),i(s(fun(X3,fun(X2,X2)),X0),s(X3,X4))),s(X2,X6)))))
& s(X3,X5) != s(X3,X4) ) ),
inference(flattening,[],[f5364]) ).
fof(f5364,plain,
! [X0,X3,X1,X2] :
( ? [X7] :
( s(X2,X1) = s(X2,i(s(fun(fun(X3,bool),X2),X7),s(fun(X3,bool),empty)))
& ! [X9,X8] :
( s(X2,i(s(fun(X2,X2),i(s(fun(X3,fun(X2,X2)),X0),s(X3,X9))),s(X2,i(s(fun(fun(X3,bool),X2),X7),s(fun(X3,bool),i(s(fun(X3,fun(X3,bool)),i(s(fun(fun(X3,bool),fun(X3,fun(X3,bool))),delete),s(fun(X3,bool),X8))),s(X3,X9))))))) = s(X2,i(s(fun(fun(X3,bool),X2),X7),s(fun(X3,bool),X8)))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X9))),s(fun(X3,bool),X8))))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X8)))) ) )
| ? [X5,X4,X6] :
( s(X2,i(s(fun(X2,X2),i(s(fun(X3,fun(X2,X2)),X0),s(X3,X4))),s(X2,i(s(fun(X2,X2),i(s(fun(X3,fun(X2,X2)),X0),s(X3,X5))),s(X2,X6))))) != s(X2,i(s(fun(X2,X2),i(s(fun(X3,fun(X2,X2)),X0),s(X3,X5))),s(X2,i(s(fun(X2,X2),i(s(fun(X3,fun(X2,X2)),X0),s(X3,X4))),s(X2,X6)))))
& s(X3,X5) != s(X3,X4) ) ),
inference(ennf_transformation,[],[f4896]) ).
fof(f4896,plain,
! [X0,X3,X1,X2] :
( ! [X4,X5,X6] :
( s(X3,X5) != s(X3,X4)
=> s(X2,i(s(fun(X2,X2),i(s(fun(X3,fun(X2,X2)),X0),s(X3,X4))),s(X2,i(s(fun(X2,X2),i(s(fun(X3,fun(X2,X2)),X0),s(X3,X5))),s(X2,X6))))) = s(X2,i(s(fun(X2,X2),i(s(fun(X3,fun(X2,X2)),X0),s(X3,X5))),s(X2,i(s(fun(X2,X2),i(s(fun(X3,fun(X2,X2)),X0),s(X3,X4))),s(X2,X6))))) )
=> ? [X7] :
( s(X2,X1) = s(X2,i(s(fun(fun(X3,bool),X2),X7),s(fun(X3,bool),empty)))
& ! [X9,X8] :
( ( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X9))),s(fun(X3,bool),X8))))
& p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X8)))) )
=> s(X2,i(s(fun(X2,X2),i(s(fun(X3,fun(X2,X2)),X0),s(X3,X9))),s(X2,i(s(fun(fun(X3,bool),X2),X7),s(fun(X3,bool),i(s(fun(X3,fun(X3,bool)),i(s(fun(fun(X3,bool),fun(X3,fun(X3,bool))),delete),s(fun(X3,bool),X8))),s(X3,X9))))))) = s(X2,i(s(fun(fun(X3,bool),X2),X7),s(fun(X3,bool),X8))) ) ) ),
inference(rectify,[],[f1920]) ).
fof(f1920,axiom,
! [X10,X19,X9,X3] :
( ! [X0,X7,X96] :
( s(X3,X0) != s(X3,X7)
=> s(X9,i(s(fun(X9,X9),i(s(fun(X3,fun(X9,X9)),X10),s(X3,X0))),s(X9,i(s(fun(X9,X9),i(s(fun(X3,fun(X9,X9)),X10),s(X3,X7))),s(X9,X96))))) = s(X9,i(s(fun(X9,X9),i(s(fun(X3,fun(X9,X9)),X10),s(X3,X7))),s(X9,i(s(fun(X9,X9),i(s(fun(X3,fun(X9,X9)),X10),s(X3,X0))),s(X9,X96))))) )
=> ? [X17] :
( s(X9,X19) = s(X9,i(s(fun(fun(X3,bool),X9),X17),s(fun(X3,bool),empty)))
& ! [X96,X0] :
( ( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96))))
& p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X96)))) )
=> s(X9,i(s(fun(fun(X3,bool),X9),X17),s(fun(X3,bool),X96))) = s(X9,i(s(fun(X9,X9),i(s(fun(X3,fun(X9,X9)),X10),s(X3,X0))),s(X9,i(s(fun(fun(X3,bool),X9),X17),s(fun(X3,bool),i(s(fun(X3,fun(X3,bool)),i(s(fun(fun(X3,bool),fun(X3,fun(X3,bool))),delete),s(fun(X3,bool),X96))),s(X3,X0))))))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aFINRECu_FUN) ).
fof(f14221,plain,
( spl2410_50
| ~ spl2410_75
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13665,f13303,f14218,f14105]) ).
fof(f14218,plain,
( spl2410_75
<=> sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))),s(fun(cart(real,sK2122),bool),sK1280(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_75])]) ).
fof(f13665,plain,
( ~ sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))),s(fun(cart(real,sK2122),bool),sK1280(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))
| sP1275(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12136]) ).
fof(f12136,plain,
! [X0,X1,X5] :
( ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X5))))
| ~ sQ2409_eqProxy(s(X0,X5),s(X0,sK1280(X0,X1,X5)))
| sP1275(X1,X0) ),
inference(equality_proxy_replacement,[],[f8840,f10758]) ).
fof(f8840,plain,
! [X0,X1,X5] :
( s(X0,X5) != s(X0,sK1280(X0,X1,X5))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X5))))
| sP1275(X1,X0) ),
inference(cnf_transformation,[],[f6417]) ).
fof(f14216,plain,
( spl2410_73
| ~ spl2410_74
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13544,f13303,f14213,f14209]) ).
fof(f14209,plain,
( spl2410_73
<=> sP425(i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),in,fun(cart(real,sK2122),bool),cart(real,sK2122)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_73])]) ).
fof(f14213,plain,
( spl2410_74
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),s0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_74])]) ).
fof(f13544,plain,
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),s0))))
| sP425(i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),in,fun(cart(real,sK2122),bool),cart(real,sK2122))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f7238]) ).
fof(f7238,plain,
! [X2,X3,X0,X6,X7] :
( sP425(X6,X3,X2,X0)
| ~ p(s(bool,i(s(fun(X2,bool),i(s(fun(X0,fun(X2,bool)),X3),s(X0,X7))),s(X2,X6))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X7))),s(fun(X0,bool),s0)))) ),
inference(cnf_transformation,[],[f5673]) ).
fof(f5673,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( ? [X5,X6] :
( p(s(bool,i(s(fun(X2,bool),i(s(fun(bool,fun(X2,bool)),i(s(fun(X2,fun(bool,fun(X2,bool))),setspec),s(X2,X4))),s(bool,X5))),s(X2,X6))))
& ( ? [X7] :
( p(s(bool,i(s(fun(X2,bool),i(s(fun(X0,fun(X2,bool)),X3),s(X0,X7))),s(X2,X6))))
& p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X7))),s(fun(X0,bool),s0)))) )
<=> p(s(bool,X5)) ) )
<~> p(s(bool,i(s(fun(X2,bool),i(s(fun(fun(X0,fun(X2,bool)),fun(X2,bool)),X1),s(fun(X0,fun(X2,bool)),X3))),s(X2,X4)))) )
| ! [X8] :
( ? [X10,X9,X11] :
( p(s(bool,i(s(fun(X2,bool),i(s(fun(X0,fun(X2,bool)),X8),s(X0,X9))),s(X2,X10))))
& s(X2,X11) != s(X2,X10)
& p(s(bool,i(s(fun(X2,bool),i(s(fun(X0,fun(X2,bool)),X8),s(X0,X9))),s(X2,X11))))
& p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X9))),s(fun(X0,bool),s0)))) )
| p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X2,bool),fun(fun(X0,bool),bool)),l_a_u_c),s(fun(X2,bool),i(s(fun(fun(X2,bool),fun(X2,bool)),gspec),s(fun(X2,bool),i(s(fun(fun(X0,fun(X2,bool)),fun(X2,bool)),X1),s(fun(X0,fun(X2,bool)),X8))))))),s(fun(X0,bool),s0)))) ) ),
inference(flattening,[],[f5672]) ).
fof(f5672,plain,
! [X1,X0,X2] :
( ! [X8] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X2,bool),fun(fun(X0,bool),bool)),l_a_u_c),s(fun(X2,bool),i(s(fun(fun(X2,bool),fun(X2,bool)),gspec),s(fun(X2,bool),i(s(fun(fun(X0,fun(X2,bool)),fun(X2,bool)),X1),s(fun(X0,fun(X2,bool)),X8))))))),s(fun(X0,bool),s0))))
| ? [X11,X9,X10] :
( s(X2,X11) != s(X2,X10)
& p(s(bool,i(s(fun(X2,bool),i(s(fun(X0,fun(X2,bool)),X8),s(X0,X9))),s(X2,X11))))
& p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X9))),s(fun(X0,bool),s0))))
& p(s(bool,i(s(fun(X2,bool),i(s(fun(X0,fun(X2,bool)),X8),s(X0,X9))),s(X2,X10)))) ) )
| ? [X3,X4] :
( ? [X5,X6] :
( p(s(bool,i(s(fun(X2,bool),i(s(fun(bool,fun(X2,bool)),i(s(fun(X2,fun(bool,fun(X2,bool))),setspec),s(X2,X4))),s(bool,X5))),s(X2,X6))))
& ( ? [X7] :
( p(s(bool,i(s(fun(X2,bool),i(s(fun(X0,fun(X2,bool)),X3),s(X0,X7))),s(X2,X6))))
& p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X7))),s(fun(X0,bool),s0)))) )
<=> p(s(bool,X5)) ) )
<~> p(s(bool,i(s(fun(X2,bool),i(s(fun(fun(X0,fun(X2,bool)),fun(X2,bool)),X1),s(fun(X0,fun(X2,bool)),X3))),s(X2,X4)))) ) ),
inference(ennf_transformation,[],[f4980]) ).
fof(f4980,plain,
! [X1,X0,X2] :
( ! [X4,X3] :
( ? [X5,X6] :
( p(s(bool,i(s(fun(X2,bool),i(s(fun(bool,fun(X2,bool)),i(s(fun(X2,fun(bool,fun(X2,bool))),setspec),s(X2,X4))),s(bool,X5))),s(X2,X6))))
& ( ? [X7] :
( p(s(bool,i(s(fun(X2,bool),i(s(fun(X0,fun(X2,bool)),X3),s(X0,X7))),s(X2,X6))))
& p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X7))),s(fun(X0,bool),s0)))) )
<=> p(s(bool,X5)) ) )
<=> p(s(bool,i(s(fun(X2,bool),i(s(fun(fun(X0,fun(X2,bool)),fun(X2,bool)),X1),s(fun(X0,fun(X2,bool)),X3))),s(X2,X4)))) )
=> ! [X8] :
( ! [X11,X9,X10] :
( ( p(s(bool,i(s(fun(X2,bool),i(s(fun(X0,fun(X2,bool)),X8),s(X0,X9))),s(X2,X11))))
& p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X9))),s(fun(X0,bool),s0))))
& p(s(bool,i(s(fun(X2,bool),i(s(fun(X0,fun(X2,bool)),X8),s(X0,X9))),s(X2,X10)))) )
=> s(X2,X11) = s(X2,X10) )
=> p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X2,bool),fun(fun(X0,bool),bool)),l_a_u_c),s(fun(X2,bool),i(s(fun(fun(X2,bool),fun(X2,bool)),gspec),s(fun(X2,bool),i(s(fun(fun(X0,fun(X2,bool)),fun(X2,bool)),X1),s(fun(X0,fun(X2,bool)),X8))))))),s(fun(X0,bool),s0)))) ) ),
inference(rectify,[],[f2539]) ).
fof(f2539,axiom,
! [X3,X18,X9] :
( ! [X5,X868] :
( p(s(bool,i(s(fun(X9,bool),i(s(fun(fun(X3,fun(X9,bool)),fun(X9,bool)),X18),s(fun(X3,fun(X9,bool)),X5))),s(X9,X868))))
<=> ? [X24,X7] :
( ( p(s(bool,X24))
<=> ? [X0] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),s0))))
& p(s(bool,i(s(fun(X9,bool),i(s(fun(X3,fun(X9,bool)),X5),s(X3,X0))),s(X9,X7)))) ) )
& p(s(bool,i(s(fun(X9,bool),i(s(fun(bool,fun(X9,bool)),i(s(fun(X9,fun(bool,fun(X9,bool))),setspec),s(X9,X868))),s(bool,X24))),s(X9,X7)))) ) )
=> ! [X5] :
( ! [X0,X7,X251] :
( ( p(s(bool,i(s(fun(X9,bool),i(s(fun(X3,fun(X9,bool)),X5),s(X3,X0))),s(X9,X7))))
& p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),s0))))
& p(s(bool,i(s(fun(X9,bool),i(s(fun(X3,fun(X9,bool)),X5),s(X3,X0))),s(X9,X251)))) )
=> s(X9,X7) = s(X9,X251) )
=> p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(fun(X9,bool),fun(fun(X3,bool),bool)),l_a_u_c),s(fun(X9,bool),i(s(fun(fun(X9,bool),fun(X9,bool)),gspec),s(fun(X9,bool),i(s(fun(fun(X3,fun(X9,bool)),fun(X9,bool)),X18),s(fun(X3,fun(X9,bool)),X5))))))),s(fun(X3,bool),s0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aCARDu_LEu_RELATIONAL) ).
fof(f14206,plain,
( spl2410_53
| spl2410_72
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13671,f13303,f14204,f14117]) ).
fof(f13671,plain,
( ! [X621,X620] :
( ~ sP1845(X621,i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))
| sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),X620),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),X620)))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12692]) ).
fof(f14202,plain,
( ~ spl2410_4
| spl2410_71
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13464,f13303,f14200,f13905]) ).
fof(f14200,plain,
( spl2410_71
<=> ! [X285] : sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),num),num),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),num),num)),nsum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),num),X285))),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,i(s(fun(cart(real,sK2122),num),X285),s(cart(real,sK2122),sK2123))))),s(num,i(s(fun(fun(cart(real,sK2122),num),num),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),num),num)),nsum),s(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),bool)),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),fun(cart(real,sK2122),bool))),delete),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(cart(real,sK2122),sK2123))))),s(fun(cart(real,sK2122),num),X285)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_71])]) ).
fof(f13464,plain,
( ! [X285] :
( sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),num),num),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),num),num)),nsum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),num),X285))),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,i(s(fun(cart(real,sK2122),num),X285),s(cart(real,sK2122),sK2123))))),s(num,i(s(fun(fun(cart(real,sK2122),num),num),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),num),num)),nsum),s(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),bool)),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),fun(cart(real,sK2122),bool))),delete),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(cart(real,sK2122),sK2123))))),s(fun(cart(real,sK2122),num),X285))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f11962]) ).
fof(f11962,plain,
! [X2,X3,X0,X1] :
( sQ2409_eqProxy(s(num,i(s(fun(fun(X1,num),num),i(s(fun(fun(X1,bool),fun(fun(X1,num),num)),nsum),s(fun(X1,bool),X2))),s(fun(X1,num),X3))),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,i(s(fun(X1,num),X3),s(X1,X0))))),s(num,i(s(fun(fun(X1,num),num),i(s(fun(fun(X1,bool),fun(fun(X1,num),num)),nsum),s(fun(X1,bool),i(s(fun(X1,fun(X1,bool)),i(s(fun(fun(X1,bool),fun(X1,fun(X1,bool))),delete),s(fun(X1,bool),X2))),s(X1,X0))))),s(fun(X1,num),X3))))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X0))),s(fun(X1,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X2)))) ),
inference(equality_proxy_replacement,[],[f8514,f10758]) ).
fof(f8514,plain,
! [X2,X3,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X0))),s(fun(X1,bool),X2))))
| s(num,i(s(fun(fun(X1,num),num),i(s(fun(fun(X1,bool),fun(fun(X1,num),num)),nsum),s(fun(X1,bool),X2))),s(fun(X1,num),X3))) = s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,i(s(fun(X1,num),X3),s(X1,X0))))),s(num,i(s(fun(fun(X1,num),num),i(s(fun(fun(X1,bool),fun(fun(X1,num),num)),nsum),s(fun(X1,bool),i(s(fun(X1,fun(X1,bool)),i(s(fun(fun(X1,bool),fun(X1,fun(X1,bool))),delete),s(fun(X1,bool),X2))),s(X1,X0))))),s(fun(X1,num),X3))))) ),
inference(cnf_transformation,[],[f6356]) ).
fof(f6356,plain,
! [X1,X2,X3,X0] :
( s(num,i(s(fun(fun(X1,num),num),i(s(fun(fun(X1,bool),fun(fun(X1,num),num)),nsum),s(fun(X1,bool),X2))),s(fun(X1,num),X3))) = s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,i(s(fun(X1,num),X3),s(X1,X0))))),s(num,i(s(fun(fun(X1,num),num),i(s(fun(fun(X1,bool),fun(fun(X1,num),num)),nsum),s(fun(X1,bool),i(s(fun(X1,fun(X1,bool)),i(s(fun(fun(X1,bool),fun(X1,fun(X1,bool))),delete),s(fun(X1,bool),X2))),s(X1,X0))))),s(fun(X1,num),X3)))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X0))),s(fun(X1,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X2)))) ),
inference(flattening,[],[f6355]) ).
fof(f6355,plain,
! [X1,X3,X2,X0] :
( s(num,i(s(fun(fun(X1,num),num),i(s(fun(fun(X1,bool),fun(fun(X1,num),num)),nsum),s(fun(X1,bool),X2))),s(fun(X1,num),X3))) = s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,i(s(fun(X1,num),X3),s(X1,X0))))),s(num,i(s(fun(fun(X1,num),num),i(s(fun(fun(X1,bool),fun(fun(X1,num),num)),nsum),s(fun(X1,bool),i(s(fun(X1,fun(X1,bool)),i(s(fun(fun(X1,bool),fun(X1,fun(X1,bool))),delete),s(fun(X1,bool),X2))),s(X1,X0))))),s(fun(X1,num),X3)))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X0))),s(fun(X1,bool),X2)))) ),
inference(ennf_transformation,[],[f4888]) ).
fof(f4888,plain,
! [X1,X3,X2,X0] :
( ( p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X2))))
& p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X0))),s(fun(X1,bool),X2)))) )
=> s(num,i(s(fun(fun(X1,num),num),i(s(fun(fun(X1,bool),fun(fun(X1,num),num)),nsum),s(fun(X1,bool),X2))),s(fun(X1,num),X3))) = s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,i(s(fun(X1,num),X3),s(X1,X0))))),s(num,i(s(fun(fun(X1,num),num),i(s(fun(fun(X1,bool),fun(fun(X1,num),num)),nsum),s(fun(X1,bool),i(s(fun(X1,fun(X1,bool)),i(s(fun(fun(X1,bool),fun(X1,fun(X1,bool))),delete),s(fun(X1,bool),X2))),s(X1,X0))))),s(fun(X1,num),X3))))) ),
inference(rectify,[],[f2200]) ).
fof(f2200,axiom,
! [X15,X659,X96,X10] :
( ( p(s(bool,i(s(fun(fun(X659,bool),bool),i(s(fun(X659,fun(fun(X659,bool),bool)),in),s(X659,X15))),s(fun(X659,bool),X96))))
& p(s(bool,i(s(fun(fun(X659,bool),bool),finite),s(fun(X659,bool),X96)))) )
=> s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,i(s(fun(X659,num),X10),s(X659,X15))))),s(num,i(s(fun(fun(X659,num),num),i(s(fun(fun(X659,bool),fun(fun(X659,num),num)),nsum),s(fun(X659,bool),i(s(fun(X659,fun(X659,bool)),i(s(fun(fun(X659,bool),fun(X659,fun(X659,bool))),delete),s(fun(X659,bool),X96))),s(X659,X15))))),s(fun(X659,num),X10))))) = s(num,i(s(fun(fun(X659,num),num),i(s(fun(fun(X659,bool),fun(fun(X659,num),num)),nsum),s(fun(X659,bool),X96))),s(fun(X659,num),X10))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNSUMu_DELETE) ).
fof(f14198,plain,
( ~ spl2410_4
| spl2410_70
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13472,f13303,f14196,f13905]) ).
fof(f14196,plain,
( spl2410_70
<=> ! [X301,X302,X303] :
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK1212(X301,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X302,X303,cart(real,sK2122))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(X303,sK1213(X301,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X302,X303,cart(real,sK2122))),s(X303,i(s(fun(cart(real,sK2122),X303),X301),s(cart(real,sK2122),sK1215(X301,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X302,X303,cart(real,sK2122))))))
| ~ sQ2409_eqProxy(s(X303,sK1213(X301,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X302,X303,cart(real,sK2122))),s(X303,i(s(fun(cart(real,sK2122),X303),X301),s(cart(real,sK2122),sK2123))))
| sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X303,bool),num),card),s(fun(X303,bool),X302)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_70])]) ).
fof(f13472,plain,
( ! [X301,X303,X302] :
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK1212(X301,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X302,X303,cart(real,sK2122))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X303,bool),num),card),s(fun(X303,bool),X302))))
| ~ sQ2409_eqProxy(s(X303,sK1213(X301,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X302,X303,cart(real,sK2122))),s(X303,i(s(fun(cart(real,sK2122),X303),X301),s(cart(real,sK2122),sK2123))))
| sQ2409_eqProxy(s(X303,sK1213(X301,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X302,X303,cart(real,sK2122))),s(X303,i(s(fun(cart(real,sK2122),X303),X301),s(cart(real,sK2122),sK1215(X301,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X302,X303,cart(real,sK2122))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12080]) ).
fof(f12080,plain,
! [X2,X3,X0,X1,X6,X4] :
( p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,sK1212(X0,X1,X2,X3,X4)))),s(fun(X4,bool),X1))))
| sQ2409_eqProxy(s(num,i(s(fun(fun(X4,bool),num),card),s(fun(X4,bool),X1))),s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2))))
| ~ sQ2409_eqProxy(s(X3,sK1213(X0,X1,X2,X3,X4)),s(X3,i(s(fun(X4,X3),X0),s(X4,X6))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X1))))
| sQ2409_eqProxy(s(X3,sK1213(X0,X1,X2,X3,X4)),s(X3,i(s(fun(X4,X3),X0),s(X4,sK1215(X0,X1,X2,X3,X4)))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X6))),s(fun(X4,bool),X1)))) ),
inference(equality_proxy_replacement,[],[f8730,f10758,f10758,f10758]) ).
fof(f8730,plain,
! [X2,X3,X0,X1,X6,X4] :
( p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,sK1212(X0,X1,X2,X3,X4)))),s(fun(X4,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X1))))
| s(num,i(s(fun(fun(X4,bool),num),card),s(fun(X4,bool),X1))) = s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2)))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X6))),s(fun(X4,bool),X1))))
| s(X3,sK1213(X0,X1,X2,X3,X4)) != s(X3,i(s(fun(X4,X3),X0),s(X4,X6)))
| s(X3,sK1213(X0,X1,X2,X3,X4)) = s(X3,i(s(fun(X4,X3),X0),s(X4,sK1215(X0,X1,X2,X3,X4)))) ),
inference(cnf_transformation,[],[f5541]) ).
fof(f14194,plain,
( ~ spl2410_69
| spl2410_20
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13529,f13303,f13976,f14191]) ).
fof(f14191,plain,
( spl2410_69
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(fun(cart(real,sK2122),bool),bool),fun(cart(real,sK2122),bool)),unions),s(fun(fun(cart(real,sK2122),bool),bool),sK1638(cart(real,sK2122),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_69])]) ).
fof(f13529,plain,
( sP1640(sK1639(cart(real,sK2122),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),cart(real,sK2122))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(fun(cart(real,sK2122),bool),bool),fun(cart(real,sK2122),bool)),unions),s(fun(fun(cart(real,sK2122),bool),bool),sK1638(cart(real,sK2122),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))))))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f9437]) ).
fof(f9437,plain,
! [X0,X1,X7] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),i(s(fun(fun(fun(X0,bool),bool),fun(X0,bool)),unions),s(fun(fun(X0,bool),bool),sK1638(X0,X1)))))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),X7))))
| sP1640(sK1639(X0,X1),X1,X0) ),
inference(cnf_transformation,[],[f5252]) ).
fof(f14189,plain,
( ~ spl2410_4
| spl2410_68
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13427,f13303,f14187,f13905]) ).
fof(f14187,plain,
( spl2410_68
<=> ! [X199,X201,X200] :
( p(s(bool,X200))
| ~ sQ2409_eqProxy(s(cart(real,X199),i(s(fun(cart(real,X199),cart(real,X199)),i(s(fun(cart(real,X199),fun(cart(real,X199),cart(real,X199))),i(s(fun(bool,fun(cart(real,X199),fun(cart(real,X199),cart(real,X199)))),cond),s(bool,X200))),s(cart(real,X199),y))),s(cart(real,X199),i(s(fun(cart(real,sK2122),cart(real,X199)),f),s(cart(real,sK2122),sK115(X199,cart(real,sK2122),X201)))))),s(cart(real,X199),i(s(fun(cart(real,sK2122),cart(real,X199)),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),cart(real,X199))),X201),s(cart(real,sK2122),sK114(X199,cart(real,sK2122),X201)))),s(cart(real,sK2122),sK115(X199,cart(real,sK2122),X201)))))
| sQ2409_eqProxy(s(cart(real,X199),i(s(fun(fun(cart(real,sK2122),cart(real,X199)),cart(real,X199)),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),cart(real,X199)),cart(real,X199))),vsum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),cart(real,X199)),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),cart(real,X199))),X201),s(cart(real,sK2122),sK2123))))),s(cart(real,X199),i(s(fun(cart(real,X199),cart(real,X199)),i(s(fun(cart(real,X199),fun(cart(real,X199),cart(real,X199))),vectoru_add),s(cart(real,X199),i(s(fun(fun(cart(real,sK2122),cart(real,X199)),cart(real,X199)),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),cart(real,X199)),cart(real,X199))),vsum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),cart(real,X199)),f))))),s(cart(real,X199),i(s(fun(cart(real,X199),cart(real,X199)),i(s(fun(cart(real,X199),fun(cart(real,X199),cart(real,X199))),vectoru_sub),s(cart(real,X199),y))),s(cart(real,X199),i(s(fun(cart(real,sK2122),cart(real,X199)),f),s(cart(real,sK2122),sK2123))))))))
| sQ2409_eqProxy(s(cart(real,sK2122),sK115(X199,cart(real,sK2122),X201)),s(cart(real,sK2122),sK114(X199,cart(real,sK2122),X201))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_68])]) ).
fof(f13427,plain,
( ! [X200,X201,X199] :
( p(s(bool,X200))
| sQ2409_eqProxy(s(cart(real,X199),i(s(fun(fun(cart(real,sK2122),cart(real,X199)),cart(real,X199)),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),cart(real,X199)),cart(real,X199))),vsum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),cart(real,X199)),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),cart(real,X199))),X201),s(cart(real,sK2122),sK2123))))),s(cart(real,X199),i(s(fun(cart(real,X199),cart(real,X199)),i(s(fun(cart(real,X199),fun(cart(real,X199),cart(real,X199))),vectoru_add),s(cart(real,X199),i(s(fun(fun(cart(real,sK2122),cart(real,X199)),cart(real,X199)),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),cart(real,X199)),cart(real,X199))),vsum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),cart(real,X199)),f))))),s(cart(real,X199),i(s(fun(cart(real,X199),cart(real,X199)),i(s(fun(cart(real,X199),fun(cart(real,X199),cart(real,X199))),vectoru_sub),s(cart(real,X199),y))),s(cart(real,X199),i(s(fun(cart(real,sK2122),cart(real,X199)),f),s(cart(real,sK2122),sK2123))))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(cart(real,sK2122),sK115(X199,cart(real,sK2122),X201)),s(cart(real,sK2122),sK114(X199,cart(real,sK2122),X201)))
| ~ sQ2409_eqProxy(s(cart(real,X199),i(s(fun(cart(real,X199),cart(real,X199)),i(s(fun(cart(real,X199),fun(cart(real,X199),cart(real,X199))),i(s(fun(bool,fun(cart(real,X199),fun(cart(real,X199),cart(real,X199)))),cond),s(bool,X200))),s(cart(real,X199),y))),s(cart(real,X199),i(s(fun(cart(real,sK2122),cart(real,X199)),f),s(cart(real,sK2122),sK115(X199,cart(real,sK2122),X201)))))),s(cart(real,X199),i(s(fun(cart(real,sK2122),cart(real,X199)),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),cart(real,X199))),X201),s(cart(real,sK2122),sK114(X199,cart(real,sK2122),X201)))),s(cart(real,sK2122),sK115(X199,cart(real,sK2122),X201))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f10906]) ).
fof(f10906,plain,
! [X2,X0,X1,X6,X7,X5] :
( ~ sQ2409_eqProxy(s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),i(s(fun(bool,fun(cart(real,X0),fun(cart(real,X0),cart(real,X0)))),cond),s(bool,X5))),s(cart(real,X0),y))),s(cart(real,X0),i(s(fun(X1,cart(real,X0)),f),s(X1,sK115(X0,X1,X2)))))),s(cart(real,X0),i(s(fun(X1,cart(real,X0)),i(s(fun(X1,fun(X1,cart(real,X0))),X2),s(X1,sK114(X0,X1,X2)))),s(X1,sK115(X0,X1,X2)))))
| sQ2409_eqProxy(s(cart(real,X0),i(s(fun(fun(X1,cart(real,X0)),cart(real,X0)),i(s(fun(fun(X1,bool),fun(fun(X1,cart(real,X0)),cart(real,X0))),vsum),s(fun(X1,bool),X6))),s(fun(X1,cart(real,X0)),i(s(fun(X1,fun(X1,cart(real,X0))),X2),s(X1,X7))))),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),i(s(fun(fun(X1,cart(real,X0)),cart(real,X0)),i(s(fun(fun(X1,bool),fun(fun(X1,cart(real,X0)),cart(real,X0))),vsum),s(fun(X1,bool),X6))),s(fun(X1,cart(real,X0)),f))))),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_sub),s(cart(real,X0),y))),s(cart(real,X0),i(s(fun(X1,cart(real,X0)),f),s(X1,X7))))))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X6))))
| sQ2409_eqProxy(s(X1,sK115(X0,X1,X2)),s(X1,sK114(X0,X1,X2)))
| p(s(bool,X5))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X7))),s(fun(X1,bool),X6)))) ),
inference(equality_proxy_replacement,[],[f6652,f10758,f10758,f10758]) ).
fof(f6652,plain,
! [X2,X0,X1,X6,X7,X5] :
( s(cart(real,X0),i(s(fun(fun(X1,cart(real,X0)),cart(real,X0)),i(s(fun(fun(X1,bool),fun(fun(X1,cart(real,X0)),cart(real,X0))),vsum),s(fun(X1,bool),X6))),s(fun(X1,cart(real,X0)),i(s(fun(X1,fun(X1,cart(real,X0))),X2),s(X1,X7))))) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),i(s(fun(fun(X1,cart(real,X0)),cart(real,X0)),i(s(fun(fun(X1,bool),fun(fun(X1,cart(real,X0)),cart(real,X0))),vsum),s(fun(X1,bool),X6))),s(fun(X1,cart(real,X0)),f))))),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_sub),s(cart(real,X0),y))),s(cart(real,X0),i(s(fun(X1,cart(real,X0)),f),s(X1,X7)))))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X6))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X7))),s(fun(X1,bool),X6))))
| p(s(bool,X5))
| s(X1,sK115(X0,X1,X2)) = s(X1,sK114(X0,X1,X2))
| s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),i(s(fun(bool,fun(cart(real,X0),fun(cart(real,X0),cart(real,X0)))),cond),s(bool,X5))),s(cart(real,X0),y))),s(cart(real,X0),i(s(fun(X1,cart(real,X0)),f),s(X1,sK115(X0,X1,X2)))))) != s(cart(real,X0),i(s(fun(X1,cart(real,X0)),i(s(fun(X1,fun(X1,cart(real,X0))),X2),s(X1,sK114(X0,X1,X2)))),s(X1,sK115(X0,X1,X2)))) ),
inference(cnf_transformation,[],[f5233]) ).
fof(f14185,plain,
( spl2410_67
| ~ spl2410_4
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13515,f13303,f13905,f14183]) ).
fof(f14183,plain,
( spl2410_67
<=> ! [X427,X428,X426,X425] :
( ~ p(s(bool,i(s(fun(fun(X427,bool),bool),finite),s(fun(X427,bool),X426))))
| ~ sQ2409_eqProxy(s(X427,i(s(fun(cart(real,sK2122),X427),X428),s(cart(real,sK2122),X425))),s(X427,i(s(fun(cart(real,sK2122),X427),X428),s(cart(real,sK2122),sK2123))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),X425))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(cart(real,sK2122),X425),s(cart(real,sK2122),sK2123))
| ~ sP2266(sK2265(X426,X427,X428,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122)),cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X428,X427,X426)
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X427,bool),num),card),s(fun(X427,bool),X426))))
| ~ p(s(bool,i(s(fun(fun(X427,bool),bool),i(s(fun(fun(X427,bool),fun(fun(X427,bool),bool)),subset),s(fun(X427,bool),i(s(fun(fun(cart(real,sK2122),bool),fun(X427,bool)),i(s(fun(fun(cart(real,sK2122),X427),fun(fun(cart(real,sK2122),bool),fun(X427,bool))),image),s(fun(cart(real,sK2122),X427),X428))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))),s(fun(X427,bool),X426)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_67])]) ).
fof(f13515,plain,
( ! [X425,X428,X427,X426] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(X427,bool),bool),finite),s(fun(X427,bool),X426))))
| ~ p(s(bool,i(s(fun(fun(X427,bool),bool),i(s(fun(fun(X427,bool),fun(fun(X427,bool),bool)),subset),s(fun(X427,bool),i(s(fun(fun(cart(real,sK2122),bool),fun(X427,bool)),i(s(fun(fun(cart(real,sK2122),X427),fun(fun(cart(real,sK2122),bool),fun(X427,bool))),image),s(fun(cart(real,sK2122),X427),X428))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))),s(fun(X427,bool),X426))))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X427,bool),num),card),s(fun(X427,bool),X426))))
| ~ sP2266(sK2265(X426,X427,X428,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122)),cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X428,X427,X426)
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),X425))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(cart(real,sK2122),X425),s(cart(real,sK2122),sK2123))
| ~ sQ2409_eqProxy(s(X427,i(s(fun(cart(real,sK2122),X427),X428),s(cart(real,sK2122),X425))),s(X427,i(s(fun(cart(real,sK2122),X427),X428),s(cart(real,sK2122),sK2123)))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f13137]) ).
fof(f13137,plain,
! [X2,X3,X0,X1,X8,X7,X4] :
( ~ p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X3))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X8))),s(fun(X4,bool),X3))))
| ~ sP2266(sK2265(X0,X1,X2,X3,X4),X4,X3,X2,X1,X0)
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X7))),s(fun(X4,bool),X3))))
| sQ2409_eqProxy(s(X4,X8),s(X4,X7))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(fun(X1,bool),fun(fun(X1,bool),bool)),subset),s(fun(X1,bool),i(s(fun(fun(X4,bool),fun(X1,bool)),i(s(fun(fun(X4,X1),fun(fun(X4,bool),fun(X1,bool))),image),s(fun(X4,X1),X2))),s(fun(X4,bool),X3))))),s(fun(X1,bool),X0))))
| ~ sQ2409_eqProxy(s(X1,i(s(fun(X4,X1),X2),s(X4,X8))),s(X1,i(s(fun(X4,X1),X2),s(X4,X7))))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(X4,bool),num),card),s(fun(X4,bool),X3))),s(num,i(s(fun(fun(X1,bool),num),card),s(fun(X1,bool),X0))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X0)))) ),
inference(equality_proxy_replacement,[],[f10525,f10758,f10758,f10758]) ).
fof(f10525,plain,
! [X2,X3,X0,X1,X8,X7,X4] :
( s(num,i(s(fun(fun(X4,bool),num),card),s(fun(X4,bool),X3))) != s(num,i(s(fun(fun(X1,bool),num),card),s(fun(X1,bool),X0)))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X3))))
| ~ sP2266(sK2265(X0,X1,X2,X3,X4),X4,X3,X2,X1,X0)
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X8))),s(fun(X4,bool),X3))))
| s(X1,i(s(fun(X4,X1),X2),s(X4,X8))) != s(X1,i(s(fun(X4,X1),X2),s(X4,X7)))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X7))),s(fun(X4,bool),X3))))
| s(X4,X8) = s(X4,X7)
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(fun(X1,bool),fun(fun(X1,bool),bool)),subset),s(fun(X1,bool),i(s(fun(fun(X4,bool),fun(X1,bool)),i(s(fun(fun(X4,X1),fun(fun(X4,bool),fun(X1,bool))),image),s(fun(X4,X1),X2))),s(fun(X4,bool),X3))))),s(fun(X1,bool),X0))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X0)))) ),
inference(cnf_transformation,[],[f5856]) ).
fof(f5856,plain,
! [X3,X4,X1,X2,X0] :
( ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X0))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(fun(X1,bool),fun(fun(X1,bool),bool)),subset),s(fun(X1,bool),i(s(fun(fun(X4,bool),fun(X1,bool)),i(s(fun(fun(X4,X1),fun(fun(X4,bool),fun(X1,bool))),image),s(fun(X4,X1),X2))),s(fun(X4,bool),X3))))),s(fun(X1,bool),X0))))
| ( ! [X8,X7] :
( s(X4,X8) = s(X4,X7)
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X7))),s(fun(X4,bool),X3))))
| s(X1,i(s(fun(X4,X1),X2),s(X4,X8))) != s(X1,i(s(fun(X4,X1),X2),s(X4,X7)))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X8))),s(fun(X4,bool),X3)))) )
<=> ! [X5] :
( ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X5))),s(fun(X1,bool),X0))))
| ? [X6] :
( s(X1,X5) = s(X1,i(s(fun(X4,X1),X2),s(X4,X6)))
& p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X6))),s(fun(X4,bool),X3)))) ) ) )
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X3))))
| s(num,i(s(fun(fun(X4,bool),num),card),s(fun(X4,bool),X3))) != s(num,i(s(fun(fun(X1,bool),num),card),s(fun(X1,bool),X0))) ),
inference(flattening,[],[f5855]) ).
fof(f5855,plain,
! [X0,X2,X4,X1,X3] :
( ( ! [X7,X8] :
( s(X4,X8) = s(X4,X7)
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X7))),s(fun(X4,bool),X3))))
| s(X1,i(s(fun(X4,X1),X2),s(X4,X8))) != s(X1,i(s(fun(X4,X1),X2),s(X4,X7)))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X8))),s(fun(X4,bool),X3)))) )
<=> ! [X5] :
( ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X5))),s(fun(X1,bool),X0))))
| ? [X6] :
( s(X1,X5) = s(X1,i(s(fun(X4,X1),X2),s(X4,X6)))
& p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X6))),s(fun(X4,bool),X3)))) ) ) )
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X0))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X3))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(fun(X1,bool),fun(fun(X1,bool),bool)),subset),s(fun(X1,bool),i(s(fun(fun(X4,bool),fun(X1,bool)),i(s(fun(fun(X4,X1),fun(fun(X4,bool),fun(X1,bool))),image),s(fun(X4,X1),X2))),s(fun(X4,bool),X3))))),s(fun(X1,bool),X0))))
| s(num,i(s(fun(fun(X4,bool),num),card),s(fun(X4,bool),X3))) != s(num,i(s(fun(fun(X1,bool),num),card),s(fun(X1,bool),X0))) ),
inference(ennf_transformation,[],[f4081]) ).
fof(f4081,plain,
! [X0,X2,X4,X1,X3] :
( ( p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X0))))
& p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X3))))
& p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(fun(X1,bool),fun(fun(X1,bool),bool)),subset),s(fun(X1,bool),i(s(fun(fun(X4,bool),fun(X1,bool)),i(s(fun(fun(X4,X1),fun(fun(X4,bool),fun(X1,bool))),image),s(fun(X4,X1),X2))),s(fun(X4,bool),X3))))),s(fun(X1,bool),X0))))
& s(num,i(s(fun(fun(X4,bool),num),card),s(fun(X4,bool),X3))) = s(num,i(s(fun(fun(X1,bool),num),card),s(fun(X1,bool),X0))) )
=> ( ! [X7,X8] :
( ( p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X7))),s(fun(X4,bool),X3))))
& s(X1,i(s(fun(X4,X1),X2),s(X4,X8))) = s(X1,i(s(fun(X4,X1),X2),s(X4,X7)))
& p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X8))),s(fun(X4,bool),X3)))) )
=> s(X4,X8) = s(X4,X7) )
<=> ! [X5] :
( p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X5))),s(fun(X1,bool),X0))))
=> ? [X6] :
( s(X1,X5) = s(X1,i(s(fun(X4,X1),X2),s(X4,X6)))
& p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X6))),s(fun(X4,bool),X3)))) ) ) ) ),
inference(rectify,[],[f2036]) ).
fof(f2036,axiom,
! [X14,X9,X10,X96,X3] :
( ( p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X96))))
& p(s(bool,i(s(fun(fun(X9,bool),bool),finite),s(fun(X9,bool),X14))))
& p(s(bool,i(s(fun(fun(X9,bool),bool),i(s(fun(fun(X9,bool),fun(fun(X9,bool),bool)),subset),s(fun(X9,bool),i(s(fun(fun(X3,bool),fun(X9,bool)),i(s(fun(fun(X3,X9),fun(fun(X3,bool),fun(X9,bool))),image),s(fun(X3,X9),X10))),s(fun(X3,bool),X96))))),s(fun(X9,bool),X14))))
& s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X96))) = s(num,i(s(fun(fun(X9,bool),num),card),s(fun(X9,bool),X14))) )
=> ( ! [X7] :
( p(s(bool,i(s(fun(fun(X9,bool),bool),i(s(fun(X9,fun(fun(X9,bool),bool)),in),s(X9,X7))),s(fun(X9,bool),X14))))
=> ? [X0] :
( s(X9,X7) = s(X9,i(s(fun(X3,X9),X10),s(X3,X0)))
& p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96)))) ) )
<=> ! [X7,X0] :
( ( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X7))),s(fun(X3,bool),X96))))
& p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96))))
& s(X9,i(s(fun(X3,X9),X10),s(X3,X7))) = s(X9,i(s(fun(X3,X9),X10),s(X3,X0))) )
=> s(X3,X0) = s(X3,X7) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSURJECTIVEu_IFFu_INJECTIVEu_GEN) ).
fof(f14180,plain,
( spl2410_10
| ~ spl2410_66
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13557,f13303,f14177,f13932]) ).
fof(f14177,plain,
( spl2410_66
<=> sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),sK988(in,cart(real,sK2122),fun(cart(real,sK2122),bool),sK2123)),s(fun(cart(real,sK2122),bool),sK989(in,cart(real,sK2122),fun(cart(real,sK2122),bool),sK2123))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_66])]) ).
fof(f13557,plain,
( ~ sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),sK988(in,cart(real,sK2122),fun(cart(real,sK2122),bool),sK2123)),s(fun(cart(real,sK2122),bool),sK989(in,cart(real,sK2122),fun(cart(real,sK2122),bool),sK2123)))
| sP983(sK2123,fun(cart(real,sK2122),bool),cart(real,sK2122),in)
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f11845]) ).
fof(f11845,plain,
! [X2,X3,X0,X1,X4] :
( sP983(X3,X2,X1,X0)
| ~ sQ2409_eqProxy(s(X2,sK988(X0,X1,X2,X3)),s(X2,sK989(X0,X1,X2,X3)))
| ~ p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,X4)))) ),
inference(equality_proxy_replacement,[],[f8297,f10758]) ).
fof(f8297,plain,
! [X2,X3,X0,X1,X4] :
( s(X2,sK988(X0,X1,X2,X3)) != s(X2,sK989(X0,X1,X2,X3))
| ~ p(s(bool,i(s(fun(X2,bool),i(s(fun(X1,fun(X2,bool)),X0),s(X1,X3))),s(X2,X4))))
| sP983(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f5885]) ).
fof(f14175,plain,
( ~ spl2410_4
| spl2410_65
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13503,f13303,f14173,f13905]) ).
fof(f14173,plain,
( spl2410_65
<=> ! [X391,X390] :
( sQ2409_eqProxy(s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),real)),X391),s(cart(real,sK2122),sK2123))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),f))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,y))),s(real,i(s(fun(cart(real,sK2122),real),f),s(cart(real,sK2122),sK2123))))))))
| ~ sQ2409_eqProxy(s(cart(real,sK2122),sK2047(cart(real,sK2122),X391)),s(cart(real,sK2122),sK2048(cart(real,sK2122),X391)))
| ~ sQ2409_eqProxy(s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),i(s(fun(bool,fun(real,fun(real,real))),cond),s(bool,X390))),s(real,y))),s(real,i(s(fun(cart(real,sK2122),real),f),s(cart(real,sK2122),sK2048(cart(real,sK2122),X391)))))),s(real,i(s(fun(cart(real,sK2122),real),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),real)),X391),s(cart(real,sK2122),sK2047(cart(real,sK2122),X391)))),s(cart(real,sK2122),sK2048(cart(real,sK2122),X391)))))
| ~ p(s(bool,X390)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_65])]) ).
fof(f13503,plain,
( ! [X391,X390] :
( sQ2409_eqProxy(s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),real)),X391),s(cart(real,sK2122),sK2123))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),f))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,y))),s(real,i(s(fun(cart(real,sK2122),real),f),s(cart(real,sK2122),sK2123))))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,X390))
| ~ sQ2409_eqProxy(s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),i(s(fun(bool,fun(real,fun(real,real))),cond),s(bool,X390))),s(real,y))),s(real,i(s(fun(cart(real,sK2122),real),f),s(cart(real,sK2122),sK2048(cart(real,sK2122),X391)))))),s(real,i(s(fun(cart(real,sK2122),real),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),real)),X391),s(cart(real,sK2122),sK2047(cart(real,sK2122),X391)))),s(cart(real,sK2122),sK2048(cart(real,sK2122),X391)))))
| ~ sQ2409_eqProxy(s(cart(real,sK2122),sK2047(cart(real,sK2122),X391)),s(cart(real,sK2122),sK2048(cart(real,sK2122),X391))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12912]) ).
fof(f12912,plain,
! [X0,X1,X6,X4,X5] :
( ~ sQ2409_eqProxy(s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),i(s(fun(bool,fun(real,fun(real,real))),cond),s(bool,X4))),s(real,y))),s(real,i(s(fun(X0,real),f),s(X0,sK2048(X0,X1)))))),s(real,i(s(fun(X0,real),i(s(fun(X0,fun(X0,real)),X1),s(X0,sK2047(X0,X1)))),s(X0,sK2048(X0,X1)))))
| ~ p(s(bool,X4))
| ~ sQ2409_eqProxy(s(X0,sK2047(X0,X1)),s(X0,sK2048(X0,X1)))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X6))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X5))),s(fun(X0,bool),X6))))
| sQ2409_eqProxy(s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X6))),s(fun(X0,real),i(s(fun(X0,fun(X0,real)),X1),s(X0,X5))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X6))),s(fun(X0,real),f))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,y))),s(real,i(s(fun(X0,real),f),s(X0,X5)))))))) ),
inference(equality_proxy_replacement,[],[f10118,f10758,f10758,f10758]) ).
fof(f10118,plain,
! [X0,X1,X6,X4,X5] :
( s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),i(s(fun(bool,fun(real,fun(real,real))),cond),s(bool,X4))),s(real,y))),s(real,i(s(fun(X0,real),f),s(X0,sK2048(X0,X1)))))) != s(real,i(s(fun(X0,real),i(s(fun(X0,fun(X0,real)),X1),s(X0,sK2047(X0,X1)))),s(X0,sK2048(X0,X1))))
| ~ p(s(bool,X4))
| s(X0,sK2047(X0,X1)) != s(X0,sK2048(X0,X1))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X6))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X5))),s(fun(X0,bool),X6))))
| s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X6))),s(fun(X0,real),i(s(fun(X0,fun(X0,real)),X1),s(X0,X5))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X6))),s(fun(X0,real),f))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,y))),s(real,i(s(fun(X0,real),f),s(X0,X5))))))) ),
inference(cnf_transformation,[],[f6370]) ).
fof(f6370,plain,
! [X0,X1] :
( ! [X6,X5] :
( s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X6))),s(fun(X0,real),i(s(fun(X0,fun(X0,real)),X1),s(X0,X5))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X6))),s(fun(X0,real),f))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,y))),s(real,i(s(fun(X0,real),f),s(X0,X5)))))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X5))),s(fun(X0,bool),X6))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X6)))) )
| ? [X3,X2] :
! [X4] :
( ( s(X0,X2) = s(X0,X3)
<~> p(s(bool,X4)) )
| s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),i(s(fun(bool,fun(real,fun(real,real))),cond),s(bool,X4))),s(real,y))),s(real,i(s(fun(X0,real),f),s(X0,X2))))) != s(real,i(s(fun(X0,real),i(s(fun(X0,fun(X0,real)),X1),s(X0,X3))),s(X0,X2))) ) ),
inference(flattening,[],[f6369]) ).
fof(f6369,plain,
! [X0,X1] :
( ! [X5,X6] :
( s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X6))),s(fun(X0,real),i(s(fun(X0,fun(X0,real)),X1),s(X0,X5))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X6))),s(fun(X0,real),f))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,y))),s(real,i(s(fun(X0,real),f),s(X0,X5)))))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X5))),s(fun(X0,bool),X6))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X6)))) )
| ? [X3,X2] :
! [X4] :
( ( s(X0,X2) = s(X0,X3)
<~> p(s(bool,X4)) )
| s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),i(s(fun(bool,fun(real,fun(real,real))),cond),s(bool,X4))),s(real,y))),s(real,i(s(fun(X0,real),f),s(X0,X2))))) != s(real,i(s(fun(X0,real),i(s(fun(X0,fun(X0,real)),X1),s(X0,X3))),s(X0,X2))) ) ),
inference(ennf_transformation,[],[f4369]) ).
fof(f4369,plain,
! [X0,X1] :
( ! [X2,X3] :
? [X4] :
( ( p(s(bool,X4))
<=> s(X0,X2) = s(X0,X3) )
& s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),i(s(fun(bool,fun(real,fun(real,real))),cond),s(bool,X4))),s(real,y))),s(real,i(s(fun(X0,real),f),s(X0,X2))))) = s(real,i(s(fun(X0,real),i(s(fun(X0,fun(X0,real)),X1),s(X0,X3))),s(X0,X2))) )
=> ! [X5,X6] :
( ( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X5))),s(fun(X0,bool),X6))))
& p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X6)))) )
=> s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X6))),s(fun(X0,real),i(s(fun(X0,fun(X0,real)),X1),s(X0,X5))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X6))),s(fun(X0,real),f))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,y))),s(real,i(s(fun(X0,real),f),s(X0,X5))))))) ) ),
inference(rectify,[],[f2322]) ).
fof(f2322,axiom,
! [X729,X18] :
( ! [X0,X15] :
? [X24] :
( s(real,i(s(fun(X729,real),i(s(fun(X729,fun(X729,real)),X18),s(X729,X15))),s(X729,X0))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),i(s(fun(bool,fun(real,fun(real,real))),cond),s(bool,X24))),s(real,y))),s(real,i(s(fun(X729,real),f),s(X729,X0)))))
& ( s(X729,X0) = s(X729,X15)
<=> p(s(bool,X24)) ) )
=> ! [X15,X96] :
( ( p(s(bool,i(s(fun(fun(X729,bool),bool),i(s(fun(X729,fun(fun(X729,bool),bool)),in),s(X729,X15))),s(fun(X729,bool),X96))))
& p(s(bool,i(s(fun(fun(X729,bool),bool),finite),s(fun(X729,bool),X96)))) )
=> s(real,i(s(fun(fun(X729,real),real),i(s(fun(fun(X729,bool),fun(fun(X729,real),real)),sum),s(fun(X729,bool),X96))),s(fun(X729,real),i(s(fun(X729,fun(X729,real)),X18),s(X729,X15))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(fun(X729,real),real),i(s(fun(fun(X729,bool),fun(fun(X729,real),real)),sum),s(fun(X729,bool),X96))),s(fun(X729,real),f))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,y))),s(real,i(s(fun(X729,real),f),s(X729,X15))))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSUMu_CASESu_1) ).
fof(f14171,plain,
( ~ spl2410_4
| spl2410_64
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13481,f13303,f14169,f13905]) ).
fof(f14169,plain,
( spl2410_64
<=> ! [X328,X329] : sQ2409_eqProxy(s(cart(real,X328),i(s(fun(cart(real,X328),cart(real,X328)),i(s(fun(cart(real,X328),fun(cart(real,X328),cart(real,X328))),vectoru_sub),s(cart(real,X328),i(s(fun(fun(cart(real,sK2122),cart(real,X328)),cart(real,X328)),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),cart(real,X328)),cart(real,X328))),vsum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),cart(real,X328)),X329))))),s(cart(real,X328),i(s(fun(cart(real,sK2122),cart(real,X328)),X329),s(cart(real,sK2122),sK2123))))),s(cart(real,X328),i(s(fun(fun(cart(real,sK2122),cart(real,X328)),cart(real,X328)),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),cart(real,X328)),cart(real,X328))),vsum),s(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),bool)),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),fun(cart(real,sK2122),bool))),delete),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(cart(real,sK2122),sK2123))))),s(fun(cart(real,sK2122),cart(real,X328)),X329)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_64])]) ).
fof(f13481,plain,
( ! [X329,X328] :
( sQ2409_eqProxy(s(cart(real,X328),i(s(fun(cart(real,X328),cart(real,X328)),i(s(fun(cart(real,X328),fun(cart(real,X328),cart(real,X328))),vectoru_sub),s(cart(real,X328),i(s(fun(fun(cart(real,sK2122),cart(real,X328)),cart(real,X328)),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),cart(real,X328)),cart(real,X328))),vsum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),cart(real,X328)),X329))))),s(cart(real,X328),i(s(fun(cart(real,sK2122),cart(real,X328)),X329),s(cart(real,sK2122),sK2123))))),s(cart(real,X328),i(s(fun(fun(cart(real,sK2122),cart(real,X328)),cart(real,X328)),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),cart(real,X328)),cart(real,X328))),vsum),s(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),bool)),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),fun(cart(real,sK2122),bool))),delete),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(cart(real,sK2122),sK2123))))),s(fun(cart(real,sK2122),cart(real,X328)),X329))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12093]) ).
fof(f12093,plain,
! [X2,X3,X0,X1,X4] :
( ~ p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X1))))
| sQ2409_eqProxy(s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_sub),s(cart(real,X0),i(s(fun(fun(X4,cart(real,X0)),cart(real,X0)),i(s(fun(fun(X4,bool),fun(fun(X4,cart(real,X0)),cart(real,X0))),vsum),s(fun(X4,bool),X1))),s(fun(X4,cart(real,X0)),X2))))),s(cart(real,X0),i(s(fun(X4,cart(real,X0)),X2),s(X4,X3))))),s(cart(real,X0),i(s(fun(fun(X4,cart(real,X0)),cart(real,X0)),i(s(fun(fun(X4,bool),fun(fun(X4,cart(real,X0)),cart(real,X0))),vsum),s(fun(X4,bool),i(s(fun(X4,fun(X4,bool)),i(s(fun(fun(X4,bool),fun(X4,fun(X4,bool))),delete),s(fun(X4,bool),X1))),s(X4,X3))))),s(fun(X4,cart(real,X0)),X2))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X3))),s(fun(X4,bool),X1)))) ),
inference(equality_proxy_replacement,[],[f8738,f10758]) ).
fof(f8738,plain,
! [X2,X3,X0,X1,X4] :
( ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X3))),s(fun(X4,bool),X1))))
| s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_sub),s(cart(real,X0),i(s(fun(fun(X4,cart(real,X0)),cart(real,X0)),i(s(fun(fun(X4,bool),fun(fun(X4,cart(real,X0)),cart(real,X0))),vsum),s(fun(X4,bool),X1))),s(fun(X4,cart(real,X0)),X2))))),s(cart(real,X0),i(s(fun(X4,cart(real,X0)),X2),s(X4,X3))))) = s(cart(real,X0),i(s(fun(fun(X4,cart(real,X0)),cart(real,X0)),i(s(fun(fun(X4,bool),fun(fun(X4,cart(real,X0)),cart(real,X0))),vsum),s(fun(X4,bool),i(s(fun(X4,fun(X4,bool)),i(s(fun(fun(X4,bool),fun(X4,fun(X4,bool))),delete),s(fun(X4,bool),X1))),s(X4,X3))))),s(fun(X4,cart(real,X0)),X2)))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X1)))) ),
inference(cnf_transformation,[],[f6165]) ).
fof(f6165,plain,
! [X1,X2,X4,X0,X3] :
( ~ p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X1))))
| s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_sub),s(cart(real,X0),i(s(fun(fun(X4,cart(real,X0)),cart(real,X0)),i(s(fun(fun(X4,bool),fun(fun(X4,cart(real,X0)),cart(real,X0))),vsum),s(fun(X4,bool),X1))),s(fun(X4,cart(real,X0)),X2))))),s(cart(real,X0),i(s(fun(X4,cart(real,X0)),X2),s(X4,X3))))) = s(cart(real,X0),i(s(fun(fun(X4,cart(real,X0)),cart(real,X0)),i(s(fun(fun(X4,bool),fun(fun(X4,cart(real,X0)),cart(real,X0))),vsum),s(fun(X4,bool),i(s(fun(X4,fun(X4,bool)),i(s(fun(fun(X4,bool),fun(X4,fun(X4,bool))),delete),s(fun(X4,bool),X1))),s(X4,X3))))),s(fun(X4,cart(real,X0)),X2)))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X3))),s(fun(X4,bool),X1)))) ),
inference(flattening,[],[f6164]) ).
fof(f6164,plain,
! [X1,X2,X0,X4,X3] :
( s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_sub),s(cart(real,X0),i(s(fun(fun(X4,cart(real,X0)),cart(real,X0)),i(s(fun(fun(X4,bool),fun(fun(X4,cart(real,X0)),cart(real,X0))),vsum),s(fun(X4,bool),X1))),s(fun(X4,cart(real,X0)),X2))))),s(cart(real,X0),i(s(fun(X4,cart(real,X0)),X2),s(X4,X3))))) = s(cart(real,X0),i(s(fun(fun(X4,cart(real,X0)),cart(real,X0)),i(s(fun(fun(X4,bool),fun(fun(X4,cart(real,X0)),cart(real,X0))),vsum),s(fun(X4,bool),i(s(fun(X4,fun(X4,bool)),i(s(fun(fun(X4,bool),fun(X4,fun(X4,bool))),delete),s(fun(X4,bool),X1))),s(X4,X3))))),s(fun(X4,cart(real,X0)),X2)))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X3))),s(fun(X4,bool),X1)))) ),
inference(ennf_transformation,[],[f3473]) ).
fof(f3473,plain,
! [X1,X2,X0,X4,X3] :
( ( p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X1))))
& p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X3))),s(fun(X4,bool),X1)))) )
=> s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_sub),s(cart(real,X0),i(s(fun(fun(X4,cart(real,X0)),cart(real,X0)),i(s(fun(fun(X4,bool),fun(fun(X4,cart(real,X0)),cart(real,X0))),vsum),s(fun(X4,bool),X1))),s(fun(X4,cart(real,X0)),X2))))),s(cart(real,X0),i(s(fun(X4,cart(real,X0)),X2),s(X4,X3))))) = s(cart(real,X0),i(s(fun(fun(X4,cart(real,X0)),cart(real,X0)),i(s(fun(fun(X4,bool),fun(fun(X4,cart(real,X0)),cart(real,X0))),vsum),s(fun(X4,bool),i(s(fun(X4,fun(X4,bool)),i(s(fun(fun(X4,bool),fun(X4,fun(X4,bool))),delete),s(fun(X4,bool),X1))),s(X4,X3))))),s(fun(X4,cart(real,X0)),X2))) ),
inference(rectify,[],[f2925]) ).
fof(f2925,axiom,
! [X1090,X96,X10,X15,X1091] :
( ( p(s(bool,i(s(fun(fun(X1091,bool),bool),i(s(fun(X1091,fun(fun(X1091,bool),bool)),in),s(X1091,X15))),s(fun(X1091,bool),X96))))
& p(s(bool,i(s(fun(fun(X1091,bool),bool),finite),s(fun(X1091,bool),X96)))) )
=> s(cart(real,X1090),i(s(fun(fun(X1091,cart(real,X1090)),cart(real,X1090)),i(s(fun(fun(X1091,bool),fun(fun(X1091,cart(real,X1090)),cart(real,X1090))),vsum),s(fun(X1091,bool),i(s(fun(X1091,fun(X1091,bool)),i(s(fun(fun(X1091,bool),fun(X1091,fun(X1091,bool))),delete),s(fun(X1091,bool),X96))),s(X1091,X15))))),s(fun(X1091,cart(real,X1090)),X10))) = s(cart(real,X1090),i(s(fun(cart(real,X1090),cart(real,X1090)),i(s(fun(cart(real,X1090),fun(cart(real,X1090),cart(real,X1090))),vectoru_sub),s(cart(real,X1090),i(s(fun(fun(X1091,cart(real,X1090)),cart(real,X1090)),i(s(fun(fun(X1091,bool),fun(fun(X1091,cart(real,X1090)),cart(real,X1090))),vsum),s(fun(X1091,bool),X96))),s(fun(X1091,cart(real,X1090)),X10))))),s(cart(real,X1090),i(s(fun(X1091,cart(real,X1090)),X10),s(X1091,X15))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aVSUMu_DELETE) ).
fof(f14167,plain,
( spl2410_63
| spl2410_20
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13530,f13303,f13976,f14164]) ).
fof(f14164,plain,
( spl2410_63
<=> p(s(bool,i(s(fun(fun(fun(cart(real,sK2122),bool),bool),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(fun(cart(real,sK2122),bool),bool),bool)),in),s(fun(cart(real,sK2122),bool),sK1641(cart(real,sK2122),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))))),s(fun(fun(cart(real,sK2122),bool),bool),sK1638(cart(real,sK2122),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_63])]) ).
fof(f13530,plain,
( sP1640(sK1639(cart(real,sK2122),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),cart(real,sK2122))
| p(s(bool,i(s(fun(fun(fun(cart(real,sK2122),bool),bool),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(fun(cart(real,sK2122),bool),bool),bool)),in),s(fun(cart(real,sK2122),bool),sK1641(cart(real,sK2122),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))))),s(fun(fun(cart(real,sK2122),bool),bool),sK1638(cart(real,sK2122),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f9438]) ).
fof(f9438,plain,
! [X0,X1,X7] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),X7))))
| p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),sK1641(X0,X1)))),s(fun(fun(X0,bool),bool),sK1638(X0,X1)))))
| sP1640(sK1639(X0,X1),X1,X0) ),
inference(cnf_transformation,[],[f5252]) ).
fof(f14162,plain,
( spl2410_62
| spl2410_7
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13606,f13303,f13920,f14159]) ).
fof(f14159,plain,
( spl2410_62
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK1231(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_62])]) ).
fof(f13606,plain,
( sP1226(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK1231(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f8771]) ).
fof(f8771,plain,
! [X2,X0,X1] :
( sP1226(X1,X0)
| p(s(bool,i(s(fun(X0,bool),X1),s(X0,sK1231(X0,X1)))))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2)))) ),
inference(cnf_transformation,[],[f5590]) ).
fof(f14157,plain,
( spl2410_61
| ~ spl2410_4
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13499,f13303,f13905,f14155]) ).
fof(f14155,plain,
( spl2410_61
<=> ! [X376,X375,X378,X377] :
( ~ sQ2409_eqProxy(s(X375,i(s(fun(cart(real,sK2122),X375),X376),s(cart(real,sK2122),X378))),s(X375,i(s(fun(cart(real,sK2122),X375),X376),s(cart(real,sK2122),sK2123))))
| ~ sQ2409_eqProxy(s(fun(X375,bool),i(s(fun(fun(cart(real,sK2122),bool),fun(X375,bool)),i(s(fun(fun(cart(real,sK2122),X375),fun(fun(cart(real,sK2122),bool),fun(X375,bool))),image),s(fun(cart(real,sK2122),X375),X376))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(X375,bool),X377))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(X375,bool),num),card),s(fun(X375,bool),X377))),s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),X378))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(cart(real,sK2122),sK2123),s(cart(real,sK2122),X378)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_61])]) ).
fof(f13499,plain,
( ! [X378,X377,X375,X376] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ sQ2409_eqProxy(s(X375,i(s(fun(cart(real,sK2122),X375),X376),s(cart(real,sK2122),X378))),s(X375,i(s(fun(cart(real,sK2122),X375),X376),s(cart(real,sK2122),sK2123))))
| sQ2409_eqProxy(s(cart(real,sK2122),sK2123),s(cart(real,sK2122),X378))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),X378))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(X375,bool),num),card),s(fun(X375,bool),X377))),s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ sQ2409_eqProxy(s(fun(X375,bool),i(s(fun(fun(cart(real,sK2122),bool),fun(X375,bool)),i(s(fun(fun(cart(real,sK2122),X375),fun(fun(cart(real,sK2122),bool),fun(X375,bool))),image),s(fun(cart(real,sK2122),X375),X376))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(X375,bool),X377)) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12846]) ).
fof(f14153,plain,
( ~ spl2410_4
| spl2410_60
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13467,f13303,f14151,f13905]) ).
fof(f14151,plain,
( spl2410_60
<=> ! [X290] :
( ~ sQ2409_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),X290))))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK1154(i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X290,cart(real,sK2122))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(cart(real,sK2122),real),X290),s(cart(real,sK2122),sK2123)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_60])]) ).
fof(f13467,plain,
( ! [X290] :
( ~ sQ2409_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),X290))))
| sQ2409_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(cart(real,sK2122),real),X290),s(cart(real,sK2122),sK2123))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK1154(i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X290,cart(real,sK2122))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12006]) ).
fof(f12006,plain,
! [X2,X0,X1,X4] :
( sQ2409_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(X2,real),X1),s(X2,X4))))
| p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,sK1154(X0,X1,X2)))),s(fun(X2,bool),X0))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X0))))
| ~ sQ2409_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(fun(X2,real),real),i(s(fun(fun(X2,bool),fun(fun(X2,real),real)),sum),s(fun(X2,bool),X0))),s(fun(X2,real),X1))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X4))),s(fun(X2,bool),X0)))) ),
inference(equality_proxy_replacement,[],[f8589,f10758,f10758]) ).
fof(f8589,plain,
! [X2,X0,X1,X4] :
( s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,i(s(fun(X2,real),X1),s(X2,X4)))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X4))),s(fun(X2,bool),X0))))
| p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,sK1154(X0,X1,X2)))),s(fun(X2,bool),X0))))
| s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) != s(real,i(s(fun(fun(X2,real),real),i(s(fun(fun(X2,bool),fun(fun(X2,real),real)),sum),s(fun(X2,bool),X0))),s(fun(X2,real),X1)))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X0)))) ),
inference(cnf_transformation,[],[f5908]) ).
fof(f14149,plain,
( spl2410_58
| spl2410_59
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13535,f13303,f14147,f14143]) ).
fof(f14147,plain,
( spl2410_59
<=> ! [X460] :
( ~ p(s(bool,i(s(fun(fun(fun(cart(real,sK2122),bool),bool),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(fun(cart(real,sK2122),bool),bool),bool)),in),s(fun(cart(real,sK2122),bool),X460))),s(fun(fun(cart(real,sK2122),bool),bool),sK206(cart(real,sK2122),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))))))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),X460)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_59])]) ).
fof(f13535,plain,
( ! [X460] :
( ~ p(s(bool,i(s(fun(fun(fun(cart(real,sK2122),bool),bool),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(fun(cart(real,sK2122),bool),bool),bool)),in),s(fun(cart(real,sK2122),bool),X460))),s(fun(fun(cart(real,sK2122),bool),bool),sK206(cart(real,sK2122),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))))))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),X460))))
| sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),i(s(fun(fun(fun(cart(real,sK2122),bool),bool),fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool))),hull),s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))),s(fun(cart(real,sK2122),bool),sK207(cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f11023]) ).
fof(f11023,plain,
! [X2,X0,X1,X4] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),X2),s(fun(X0,bool),X4))))
| sQ2409_eqProxy(s(fun(X0,bool),X1),s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),i(s(fun(fun(fun(X0,bool),bool),fun(fun(X0,bool),fun(X0,bool))),hull),s(fun(fun(X0,bool),bool),X2))),s(fun(X0,bool),sK207(X0,X1,X2)))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),X2),s(fun(X0,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),X4))),s(fun(fun(X0,bool),bool),sK206(X0,X2))))) ),
inference(equality_proxy_replacement,[],[f6807,f10758]) ).
fof(f6807,plain,
! [X2,X0,X1,X4] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),X2),s(fun(X0,bool),X1))))
| s(fun(X0,bool),X1) = s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),i(s(fun(fun(fun(X0,bool),bool),fun(fun(X0,bool),fun(X0,bool))),hull),s(fun(fun(X0,bool),bool),X2))),s(fun(X0,bool),sK207(X0,X1,X2))))
| p(s(bool,i(s(fun(fun(X0,bool),bool),X2),s(fun(X0,bool),X4))))
| ~ p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),X4))),s(fun(fun(X0,bool),bool),sK206(X0,X2))))) ),
inference(cnf_transformation,[],[f5953]) ).
fof(f14141,plain,
( spl2410_57
| ~ spl2410_4
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13373,f13303,f13905,f14139]) ).
fof(f14139,plain,
( spl2410_57
<=> ! [X99] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK2122),real),X99),s(cart(real,sK2122),sK2123))))),s(real,sK1025(cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X99))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_57])]) ).
fof(f13373,plain,
( ! [X99] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK2122),real),X99),s(cart(real,sK2122),sK2123))))),s(real,sK1025(cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X99))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f8374]) ).
fof(f8374,plain,
! [X2,X0,X1,X4] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X0,real),X2),s(X0,X4))))),s(real,sK1025(X0,X1,X2)))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X4))),s(fun(X0,bool),X1)))) ),
inference(cnf_transformation,[],[f5471]) ).
fof(f5471,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X1))))
| ? [X3] :
! [X4] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X4))),s(fun(X0,bool),X1))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X0,real),X2),s(X0,X4))))),s(real,X3)))) ) ),
inference(ennf_transformation,[],[f4033]) ).
fof(f4033,plain,
! [X1,X2,X0] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X1))))
=> ? [X3] :
! [X4] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X4))),s(fun(X0,bool),X1))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X0,real),X2),s(X0,X4))))),s(real,X3)))) ) ),
inference(rectify,[],[f2673]) ).
fof(f2673,axiom,
! [X3,X96,X10] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X96))))
=> ? [X15] :
! [X0] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X3,real),X10),s(X3,X0))))),s(real,X15)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aUPPERu_BOUNDu_FINITEu_SETu_REAL) ).
fof(f14137,plain,
( spl2410_56
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13585,f13303,f14134]) ).
fof(f14134,plain,
( spl2410_56
<=> sP760(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_56])]) ).
fof(f13585,plain,
( sP760(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f7880]) ).
fof(f7880,plain,
! [X2,X6,X5] :
( sP760(X5,X2)
| ~ p(s(bool,i(s(fun(X2,bool),X5),s(X2,X6)))) ),
inference(cnf_transformation,[],[f4015]) ).
fof(f14132,plain,
( spl2410_52
| spl2410_9
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13562,f13303,f13929,f14114]) ).
fof(f14114,plain,
( spl2410_52
<=> ! [X485] : ~ sP1592(sK1590(fun(cart(real,sK2122),bool),cart(real,sK2122),in,X485),sK1591(fun(cart(real,sK2122),bool),cart(real,sK2122),in,X485),X485,in,cart(real,sK2122),fun(cart(real,sK2122),bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_52])]) ).
fof(f13562,plain,
( ! [X484,X483] :
( sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))),s(fun(cart(real,sK2122),bool),X484))
| ~ sP1592(sK1590(fun(cart(real,sK2122),bool),cart(real,sK2122),in,X483),sK1591(fun(cart(real,sK2122),bool),cart(real,sK2122),in,X483),X483,in,cart(real,sK2122),fun(cart(real,sK2122),bool))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),X484)))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12456]) ).
fof(f12456,plain,
! [X2,X3,X0,X1,X8,X6,X9] :
( ~ sP1592(sK1590(X0,X1,X2,X3),sK1591(X0,X1,X2,X3),X3,X2,X1,X0)
| ~ p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,X6))),s(X0,X9))))
| sQ2409_eqProxy(s(X0,X9),s(X0,X8))
| ~ p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,X6))),s(X0,X8)))) ),
inference(equality_proxy_replacement,[],[f9341,f10758]) ).
fof(f9341,plain,
! [X2,X3,X0,X1,X8,X6,X9] :
( s(X0,X9) = s(X0,X8)
| ~ p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,X6))),s(X0,X9))))
| ~ p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,X6))),s(X0,X8))))
| ~ sP1592(sK1590(X0,X1,X2,X3),sK1591(X0,X1,X2,X3),X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f5337]) ).
fof(f5337,plain,
! [X2,X1,X0] :
( ? [X3] :
! [X5,X4] :
( p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,X4))),s(X0,X5))))
<=> s(X0,X5) = s(X0,i(s(fun(X1,X0),X3),s(X1,X4))) )
<=> ! [X6] :
( ? [X7] : p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,X6))),s(X0,X7))))
& ! [X8,X9] :
( ~ p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,X6))),s(X0,X8))))
| ~ p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,X6))),s(X0,X9))))
| s(X0,X9) = s(X0,X8) ) ) ),
inference(flattening,[],[f5336]) ).
fof(f5336,plain,
! [X0,X1,X2] :
( ? [X3] :
! [X5,X4] :
( p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,X4))),s(X0,X5))))
<=> s(X0,X5) = s(X0,i(s(fun(X1,X0),X3),s(X1,X4))) )
<=> ! [X6] :
( ? [X7] : p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,X6))),s(X0,X7))))
& ! [X8,X9] :
( s(X0,X9) = s(X0,X8)
| ~ p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,X6))),s(X0,X9))))
| ~ p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,X6))),s(X0,X8)))) ) ) ),
inference(ennf_transformation,[],[f3979]) ).
fof(f3979,plain,
! [X0,X1,X2] :
( ? [X3] :
! [X5,X4] :
( p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,X4))),s(X0,X5))))
<=> s(X0,X5) = s(X0,i(s(fun(X1,X0),X3),s(X1,X4))) )
<=> ! [X6] :
( ? [X7] : p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,X6))),s(X0,X7))))
& ! [X8,X9] :
( ( p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,X6))),s(X0,X9))))
& p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,X6))),s(X0,X8)))) )
=> s(X0,X9) = s(X0,X8) ) ) ),
inference(rectify,[],[f126]) ).
fof(f126,axiom,
! [X9,X3,X6] :
( ? [X10] :
! [X0,X7] :
( s(X9,X7) = s(X9,i(s(fun(X3,X9),X10),s(X3,X0)))
<=> p(s(bool,i(s(fun(X9,bool),i(s(fun(X3,fun(X9,bool)),X6),s(X3,X0))),s(X9,X7)))) )
<=> ! [X0] :
( ? [X7] : p(s(bool,i(s(fun(X9,bool),i(s(fun(X3,fun(X9,bool)),X6),s(X3,X0))),s(X9,X7))))
& ! [X1,X7] :
( ( p(s(bool,i(s(fun(X9,bool),i(s(fun(X3,fun(X9,bool)),X6),s(X3,X0))),s(X9,X7))))
& p(s(bool,i(s(fun(X9,bool),i(s(fun(X3,fun(X9,bool)),X6),s(X3,X0))),s(X9,X1)))) )
=> s(X9,X7) = s(X9,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aUNIQUEu_SKOLEMu_ALT) ).
fof(f14131,plain,
( ~ spl2410_4
| spl2410_55
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13505,f13303,f14129,f13905]) ).
fof(f14129,plain,
( spl2410_55
<=> ! [X395,X394,X396] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),X394))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(X395,bool),bool),finite),s(fun(X395,bool),X396))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))),s(num,i(s(fun(fun(X395,bool),num),card),s(fun(X395,bool),X396))))))
| ~ sQ2409_eqProxy(s(X395,i(s(fun(cart(real,sK2122),X395),sK2100(cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X396,X395)),s(cart(real,sK2122),sK2123))),s(X395,i(s(fun(cart(real,sK2122),X395),sK2100(cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X396,X395)),s(cart(real,sK2122),X394))))
| sQ2409_eqProxy(s(cart(real,sK2122),sK2123),s(cart(real,sK2122),X394)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_55])]) ).
fof(f13505,plain,
( ! [X395,X394,X396] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),X394))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(cart(real,sK2122),sK2123),s(cart(real,sK2122),X394))
| ~ sQ2409_eqProxy(s(X395,i(s(fun(cart(real,sK2122),X395),sK2100(cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X396,X395)),s(cart(real,sK2122),sK2123))),s(X395,i(s(fun(cart(real,sK2122),X395),sK2100(cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X396,X395)),s(cart(real,sK2122),X394))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))),s(num,i(s(fun(fun(X395,bool),num),card),s(fun(X395,bool),X396))))))
| ~ p(s(bool,i(s(fun(fun(X395,bool),bool),finite),s(fun(X395,bool),X396)))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12955]) ).
fof(f12955,plain,
! [X2,X3,X0,X1,X6,X5] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X5))),s(fun(X0,bool),X1))))
| ~ sQ2409_eqProxy(s(X3,i(s(fun(X0,X3),sK2100(X0,X1,X2,X3)),s(X0,X6))),s(X3,i(s(fun(X0,X3),sK2100(X0,X1,X2,X3)),s(X0,X5))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X1))))),s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2))))))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X6))),s(fun(X0,bool),X1))))
| sQ2409_eqProxy(s(X0,X6),s(X0,X5))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X1)))) ),
inference(equality_proxy_replacement,[],[f10191,f10758,f10758]) ).
fof(f10191,plain,
! [X2,X3,X0,X1,X6,X5] :
( ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X5))),s(fun(X0,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X6))),s(fun(X0,bool),X1))))
| s(X0,X6) = s(X0,X5)
| s(X3,i(s(fun(X0,X3),sK2100(X0,X1,X2,X3)),s(X0,X6))) != s(X3,i(s(fun(X0,X3),sK2100(X0,X1,X2,X3)),s(X0,X5)))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X1))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X1))))),s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2)))))) ),
inference(cnf_transformation,[],[f6412]) ).
fof(f6412,plain,
! [X0,X2,X3,X1] :
( ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X1))))),s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2))))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X1))))
| ? [X4] :
( ! [X5,X6] :
( s(X3,i(s(fun(X0,X3),X4),s(X0,X5))) != s(X3,i(s(fun(X0,X3),X4),s(X0,X6)))
| s(X0,X6) = s(X0,X5)
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X6))),s(fun(X0,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X5))),s(fun(X0,bool),X1)))) )
& p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(fun(X3,bool),fun(fun(X3,bool),bool)),subset),s(fun(X3,bool),i(s(fun(fun(X0,bool),fun(X3,bool)),i(s(fun(fun(X0,X3),fun(fun(X0,bool),fun(X3,bool))),image),s(fun(X0,X3),X4))),s(fun(X0,bool),X1))))),s(fun(X3,bool),X2)))) )
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X2)))) ),
inference(flattening,[],[f6411]) ).
fof(f6411,plain,
! [X3,X0,X1,X2] :
( ? [X4] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(fun(X3,bool),fun(fun(X3,bool),bool)),subset),s(fun(X3,bool),i(s(fun(fun(X0,bool),fun(X3,bool)),i(s(fun(fun(X0,X3),fun(fun(X0,bool),fun(X3,bool))),image),s(fun(X0,X3),X4))),s(fun(X0,bool),X1))))),s(fun(X3,bool),X2))))
& ! [X5,X6] :
( s(X0,X6) = s(X0,X5)
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X5))),s(fun(X0,bool),X1))))
| s(X3,i(s(fun(X0,X3),X4),s(X0,X5))) != s(X3,i(s(fun(X0,X3),X4),s(X0,X6)))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X6))),s(fun(X0,bool),X1)))) ) )
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X1))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X1))))),s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2))))))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X2)))) ),
inference(ennf_transformation,[],[f4086]) ).
fof(f4086,plain,
! [X3,X0,X1,X2] :
( ( p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X1))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X1))))),s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2))))))
& p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X2)))) )
=> ? [X4] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(fun(X3,bool),fun(fun(X3,bool),bool)),subset),s(fun(X3,bool),i(s(fun(fun(X0,bool),fun(X3,bool)),i(s(fun(fun(X0,X3),fun(fun(X0,bool),fun(X3,bool))),image),s(fun(X0,X3),X4))),s(fun(X0,bool),X1))))),s(fun(X3,bool),X2))))
& ! [X5,X6] :
( ( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X5))),s(fun(X0,bool),X1))))
& s(X3,i(s(fun(X0,X3),X4),s(X0,X5))) = s(X3,i(s(fun(X0,X3),X4),s(X0,X6)))
& p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X6))),s(fun(X0,bool),X1)))) )
=> s(X0,X6) = s(X0,X5) ) ) ),
inference(rectify,[],[f2040]) ).
fof(f2040,axiom,
! [X3,X96,X14,X9] :
( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X96))))),s(num,i(s(fun(fun(X9,bool),num),card),s(fun(X9,bool),X14))))))
& p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X96))))
& p(s(bool,i(s(fun(fun(X9,bool),bool),finite),s(fun(X9,bool),X14)))) )
=> ? [X10] :
( ! [X7,X0] :
( ( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X7))),s(fun(X3,bool),X96))))
& s(X9,i(s(fun(X3,X9),X10),s(X3,X7))) = s(X9,i(s(fun(X3,X9),X10),s(X3,X0)))
& p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96)))) )
=> s(X3,X0) = s(X3,X7) )
& p(s(bool,i(s(fun(fun(X9,bool),bool),i(s(fun(fun(X9,bool),fun(fun(X9,bool),bool)),subset),s(fun(X9,bool),i(s(fun(fun(X3,bool),fun(X9,bool)),i(s(fun(fun(X3,X9),fun(fun(X3,bool),fun(X9,bool))),image),s(fun(X3,X9),X10))),s(fun(X3,bool),X96))))),s(fun(X9,bool),X14)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aCARDu_LEu_INJ) ).
fof(f14126,plain,
( spl2410_50
| spl2410_54
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13609,f13303,f14123,f14105]) ).
fof(f14123,plain,
( spl2410_54
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK1280(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_54])]) ).
fof(f13609,plain,
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK1280(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))))
| sP1275(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f8841]) ).
fof(f8841,plain,
! [X0,X1,X5] :
( ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X5))))
| sP1275(X1,X0)
| p(s(bool,i(s(fun(X0,bool),X1),s(X0,sK1280(X0,X1,X5))))) ),
inference(cnf_transformation,[],[f6417]) ).
fof(f14120,plain,
( ~ spl2410_7
| spl2410_53
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13658,f13303,f14117,f13920]) ).
fof(f13658,plain,
( ! [X601] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),X601))))
| ~ sP1226(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))
| sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),X601),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12108]) ).
fof(f14119,plain,
( spl2410_52
| spl2410_53
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13563,f13303,f14117,f14114]) ).
fof(f13563,plain,
( ! [X485,X486] :
( sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),X486),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))
| ~ sP1592(sK1590(fun(cart(real,sK2122),bool),cart(real,sK2122),in,X485),sK1591(fun(cart(real,sK2122),bool),cart(real,sK2122),in,X485),X485,in,cart(real,sK2122),fun(cart(real,sK2122),bool))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),X486)))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12456]) ).
fof(f14112,plain,
( spl2410_50
| ~ spl2410_51
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13662,f13303,f14109,f14105]) ).
fof(f14109,plain,
( spl2410_51
<=> sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),sK1276(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))),s(fun(cart(real,sK2122),bool),sK1277(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_51])]) ).
fof(f13662,plain,
( ~ sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),sK1276(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))),s(fun(cart(real,sK2122),bool),sK1277(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))))
| sP1275(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12134]) ).
fof(f12134,plain,
! [X0,X1,X4] :
( ~ sQ2409_eqProxy(s(X0,sK1276(X0,X1)),s(X0,sK1277(X0,X1)))
| sP1275(X1,X0)
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X4)))) ),
inference(equality_proxy_replacement,[],[f8845,f10758]) ).
fof(f8845,plain,
! [X0,X1,X4] :
( sP1275(X1,X0)
| s(X0,sK1276(X0,X1)) != s(X0,sK1277(X0,X1))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X4)))) ),
inference(cnf_transformation,[],[f6417]) ).
fof(f14103,plain,
( spl2410_49
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13553,f13303,f14100]) ).
fof(f14100,plain,
( spl2410_49
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2099(cart(real,sK2122),in,fun(cart(real,sK2122),bool))))),s(fun(cart(real,sK2122),bool),sK2098(cart(real,sK2122),in,fun(cart(real,sK2122),bool)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_49])]) ).
fof(f13553,plain,
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2099(cart(real,sK2122),in,fun(cart(real,sK2122),bool))))),s(fun(cart(real,sK2122),bool),sK2098(cart(real,sK2122),in,fun(cart(real,sK2122),bool))))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f10184]) ).
fof(f10184,plain,
! [X2,X0,X1,X6,X5] :
( p(s(bool,i(s(fun(X2,bool),i(s(fun(X0,fun(X2,bool)),X1),s(X0,sK2099(X0,X1,X2)))),s(X2,sK2098(X0,X1,X2)))))
| ~ p(s(bool,i(s(fun(X2,bool),i(s(fun(X0,fun(X2,bool)),X1),s(X0,X6))),s(X2,X5)))) ),
inference(cnf_transformation,[],[f3970]) ).
fof(f14098,plain,
( spl2410_48
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13424,f13303,f14095]) ).
fof(f14095,plain,
( spl2410_48
<=> sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool))),insert),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK64(cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),sK2123)))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_48])]) ).
fof(f13424,plain,
( sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool))),insert),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK64(cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),sK2123)))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f10847]) ).
fof(f10847,plain,
! [X2,X0,X1] :
( sQ2409_eqProxy(s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),i(s(fun(X0,fun(fun(X0,bool),fun(X0,bool))),insert),s(X0,X2))),s(fun(X0,bool),sK64(X0,X1,X2)))),s(fun(X0,bool),X1))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X2))),s(fun(X0,bool),X1)))) ),
inference(equality_proxy_replacement,[],[f6550,f10758]) ).
fof(f6550,plain,
! [X2,X0,X1] :
( s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),i(s(fun(X0,fun(fun(X0,bool),fun(X0,bool))),insert),s(X0,X2))),s(fun(X0,bool),sK64(X0,X1,X2)))) = s(fun(X0,bool),X1)
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X2))),s(fun(X0,bool),X1)))) ),
inference(cnf_transformation,[],[f4565]) ).
fof(f4565,plain,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X2))),s(fun(X0,bool),X1))))
<=> ? [X3] :
( s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),i(s(fun(X0,fun(fun(X0,bool),fun(X0,bool))),insert),s(X0,X2))),s(fun(X0,bool),X3))) = s(fun(X0,bool),X1)
& ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X2))),s(fun(X0,bool),X3)))) ) ),
inference(rectify,[],[f1758]) ).
fof(f1758,axiom,
! [X3,X96,X0] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96))))
<=> ? [X14] :
( s(fun(X3,bool),X96) = s(fun(X3,bool),i(s(fun(fun(X3,bool),fun(X3,bool)),i(s(fun(X3,fun(fun(X3,bool),fun(X3,bool))),insert),s(X3,X0))),s(fun(X3,bool),X14)))
& ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X14)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aDECOMPOSITION) ).
fof(f14093,plain,
( ~ spl2410_4
| spl2410_47
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13490,f13303,f14091,f13905]) ).
fof(f14091,plain,
( spl2410_47
<=> ! [X353,X352,X351] :
( ~ p(s(bool,i(s(fun(fun(X351,fun(X351,X351)),bool),monoidal),s(fun(X351,fun(X351,X351)),X352))))
| sQ2409_eqProxy(s(X351,i(s(fun(X351,X351),i(s(fun(X351,fun(X351,X351)),X352),s(X351,i(s(fun(cart(real,sK2122),X351),X353),s(cart(real,sK2122),sK2123))))),s(X351,i(s(fun(fun(cart(real,sK2122),X351),X351),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),X351),X351)),i(s(fun(fun(X351,fun(X351,X351)),fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),X351),X351))),iterate),s(fun(X351,fun(X351,X351)),X352))),s(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),bool)),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),fun(cart(real,sK2122),bool))),delete),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(cart(real,sK2122),sK2123))))),s(fun(cart(real,sK2122),X351),X353))))),s(X351,i(s(fun(fun(cart(real,sK2122),X351),X351),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),X351),X351)),i(s(fun(fun(X351,fun(X351,X351)),fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),X351),X351))),iterate),s(fun(X351,fun(X351,X351)),X352))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),X351),X353)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_47])]) ).
fof(f13490,plain,
( ! [X353,X351,X352] :
( ~ p(s(bool,i(s(fun(fun(X351,fun(X351,X351)),bool),monoidal),s(fun(X351,fun(X351,X351)),X352))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(X351,i(s(fun(X351,X351),i(s(fun(X351,fun(X351,X351)),X352),s(X351,i(s(fun(cart(real,sK2122),X351),X353),s(cart(real,sK2122),sK2123))))),s(X351,i(s(fun(fun(cart(real,sK2122),X351),X351),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),X351),X351)),i(s(fun(fun(X351,fun(X351,X351)),fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),X351),X351))),iterate),s(fun(X351,fun(X351,X351)),X352))),s(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),bool)),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),fun(cart(real,sK2122),bool))),delete),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(cart(real,sK2122),sK2123))))),s(fun(cart(real,sK2122),X351),X353))))),s(X351,i(s(fun(fun(cart(real,sK2122),X351),X351),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),X351),X351)),i(s(fun(fun(X351,fun(X351,X351)),fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),X351),X351))),iterate),s(fun(X351,fun(X351,X351)),X352))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),X351),X353)))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12169]) ).
fof(f12169,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X3))),s(fun(X0,bool),X5))))
| sQ2409_eqProxy(s(X1,i(s(fun(X1,X1),i(s(fun(X1,fun(X1,X1)),X2),s(X1,i(s(fun(X0,X1),X4),s(X0,X3))))),s(X1,i(s(fun(fun(X0,X1),X1),i(s(fun(fun(X0,bool),fun(fun(X0,X1),X1)),i(s(fun(fun(X1,fun(X1,X1)),fun(fun(X0,bool),fun(fun(X0,X1),X1))),iterate),s(fun(X1,fun(X1,X1)),X2))),s(fun(X0,bool),i(s(fun(X0,fun(X0,bool)),i(s(fun(fun(X0,bool),fun(X0,fun(X0,bool))),delete),s(fun(X0,bool),X5))),s(X0,X3))))),s(fun(X0,X1),X4))))),s(X1,i(s(fun(fun(X0,X1),X1),i(s(fun(fun(X0,bool),fun(fun(X0,X1),X1)),i(s(fun(fun(X1,fun(X1,X1)),fun(fun(X0,bool),fun(fun(X0,X1),X1))),iterate),s(fun(X1,fun(X1,X1)),X2))),s(fun(X0,bool),X5))),s(fun(X0,X1),X4))))
| ~ p(s(bool,i(s(fun(fun(X1,fun(X1,X1)),bool),monoidal),s(fun(X1,fun(X1,X1)),X2))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X5)))) ),
inference(equality_proxy_replacement,[],[f8897,f10758]) ).
fof(f8897,plain,
! [X2,X3,X0,X1,X4,X5] :
( s(X1,i(s(fun(X1,X1),i(s(fun(X1,fun(X1,X1)),X2),s(X1,i(s(fun(X0,X1),X4),s(X0,X3))))),s(X1,i(s(fun(fun(X0,X1),X1),i(s(fun(fun(X0,bool),fun(fun(X0,X1),X1)),i(s(fun(fun(X1,fun(X1,X1)),fun(fun(X0,bool),fun(fun(X0,X1),X1))),iterate),s(fun(X1,fun(X1,X1)),X2))),s(fun(X0,bool),i(s(fun(X0,fun(X0,bool)),i(s(fun(fun(X0,bool),fun(X0,fun(X0,bool))),delete),s(fun(X0,bool),X5))),s(X0,X3))))),s(fun(X0,X1),X4))))) = s(X1,i(s(fun(fun(X0,X1),X1),i(s(fun(fun(X0,bool),fun(fun(X0,X1),X1)),i(s(fun(fun(X1,fun(X1,X1)),fun(fun(X0,bool),fun(fun(X0,X1),X1))),iterate),s(fun(X1,fun(X1,X1)),X2))),s(fun(X0,bool),X5))),s(fun(X0,X1),X4)))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X3))),s(fun(X0,bool),X5))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X5))))
| ~ p(s(bool,i(s(fun(fun(X1,fun(X1,X1)),bool),monoidal),s(fun(X1,fun(X1,X1)),X2)))) ),
inference(cnf_transformation,[],[f5981]) ).
fof(f5981,plain,
! [X0,X1,X2] :
( ~ p(s(bool,i(s(fun(fun(X1,fun(X1,X1)),bool),monoidal),s(fun(X1,fun(X1,X1)),X2))))
| ! [X4,X5,X3] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X5))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X3))),s(fun(X0,bool),X5))))
| s(X1,i(s(fun(X1,X1),i(s(fun(X1,fun(X1,X1)),X2),s(X1,i(s(fun(X0,X1),X4),s(X0,X3))))),s(X1,i(s(fun(fun(X0,X1),X1),i(s(fun(fun(X0,bool),fun(fun(X0,X1),X1)),i(s(fun(fun(X1,fun(X1,X1)),fun(fun(X0,bool),fun(fun(X0,X1),X1))),iterate),s(fun(X1,fun(X1,X1)),X2))),s(fun(X0,bool),i(s(fun(X0,fun(X0,bool)),i(s(fun(fun(X0,bool),fun(X0,fun(X0,bool))),delete),s(fun(X0,bool),X5))),s(X0,X3))))),s(fun(X0,X1),X4))))) = s(X1,i(s(fun(fun(X0,X1),X1),i(s(fun(fun(X0,bool),fun(fun(X0,X1),X1)),i(s(fun(fun(X1,fun(X1,X1)),fun(fun(X0,bool),fun(fun(X0,X1),X1))),iterate),s(fun(X1,fun(X1,X1)),X2))),s(fun(X0,bool),X5))),s(fun(X0,X1),X4))) ) ),
inference(flattening,[],[f5980]) ).
fof(f5980,plain,
! [X1,X0,X2] :
( ! [X5,X3,X4] :
( s(X1,i(s(fun(X1,X1),i(s(fun(X1,fun(X1,X1)),X2),s(X1,i(s(fun(X0,X1),X4),s(X0,X3))))),s(X1,i(s(fun(fun(X0,X1),X1),i(s(fun(fun(X0,bool),fun(fun(X0,X1),X1)),i(s(fun(fun(X1,fun(X1,X1)),fun(fun(X0,bool),fun(fun(X0,X1),X1))),iterate),s(fun(X1,fun(X1,X1)),X2))),s(fun(X0,bool),i(s(fun(X0,fun(X0,bool)),i(s(fun(fun(X0,bool),fun(X0,fun(X0,bool))),delete),s(fun(X0,bool),X5))),s(X0,X3))))),s(fun(X0,X1),X4))))) = s(X1,i(s(fun(fun(X0,X1),X1),i(s(fun(fun(X0,bool),fun(fun(X0,X1),X1)),i(s(fun(fun(X1,fun(X1,X1)),fun(fun(X0,bool),fun(fun(X0,X1),X1))),iterate),s(fun(X1,fun(X1,X1)),X2))),s(fun(X0,bool),X5))),s(fun(X0,X1),X4)))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X3))),s(fun(X0,bool),X5))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X5)))) )
| ~ p(s(bool,i(s(fun(fun(X1,fun(X1,X1)),bool),monoidal),s(fun(X1,fun(X1,X1)),X2)))) ),
inference(ennf_transformation,[],[f5011]) ).
fof(f5011,plain,
! [X1,X0,X2] :
( p(s(bool,i(s(fun(fun(X1,fun(X1,X1)),bool),monoidal),s(fun(X1,fun(X1,X1)),X2))))
=> ! [X5,X3,X4] :
( ( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X3))),s(fun(X0,bool),X5))))
& p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X5)))) )
=> s(X1,i(s(fun(X1,X1),i(s(fun(X1,fun(X1,X1)),X2),s(X1,i(s(fun(X0,X1),X4),s(X0,X3))))),s(X1,i(s(fun(fun(X0,X1),X1),i(s(fun(fun(X0,bool),fun(fun(X0,X1),X1)),i(s(fun(fun(X1,fun(X1,X1)),fun(fun(X0,bool),fun(fun(X0,X1),X1))),iterate),s(fun(X1,fun(X1,X1)),X2))),s(fun(X0,bool),i(s(fun(X0,fun(X0,bool)),i(s(fun(fun(X0,bool),fun(X0,fun(X0,bool))),delete),s(fun(X0,bool),X5))),s(X0,X3))))),s(fun(X0,X1),X4))))) = s(X1,i(s(fun(fun(X0,X1),X1),i(s(fun(fun(X0,bool),fun(fun(X0,X1),X1)),i(s(fun(fun(X1,fun(X1,X1)),fun(fun(X0,bool),fun(fun(X0,X1),X1))),iterate),s(fun(X1,fun(X1,X1)),X2))),s(fun(X0,bool),X5))),s(fun(X0,X1),X4))) ) ),
inference(rectify,[],[f2159]) ).
fof(f2159,axiom,
! [X3,X9,X597] :
( p(s(bool,i(s(fun(fun(X9,fun(X9,X9)),bool),monoidal),s(fun(X9,fun(X9,X9)),X597))))
=> ! [X15,X10,X96] :
( ( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X15))),s(fun(X3,bool),X96))))
& p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X96)))) )
=> s(X9,i(s(fun(fun(X3,X9),X9),i(s(fun(fun(X3,bool),fun(fun(X3,X9),X9)),i(s(fun(fun(X9,fun(X9,X9)),fun(fun(X3,bool),fun(fun(X3,X9),X9))),iterate),s(fun(X9,fun(X9,X9)),X597))),s(fun(X3,bool),X96))),s(fun(X3,X9),X10))) = s(X9,i(s(fun(X9,X9),i(s(fun(X9,fun(X9,X9)),X597),s(X9,i(s(fun(X3,X9),X10),s(X3,X15))))),s(X9,i(s(fun(fun(X3,X9),X9),i(s(fun(fun(X3,bool),fun(fun(X3,X9),X9)),i(s(fun(fun(X9,fun(X9,X9)),fun(fun(X3,bool),fun(fun(X3,X9),X9))),iterate),s(fun(X9,fun(X9,X9)),X597))),s(fun(X3,bool),i(s(fun(X3,fun(X3,bool)),i(s(fun(fun(X3,bool),fun(X3,fun(X3,bool))),delete),s(fun(X3,bool),X96))),s(X3,X15))))),s(fun(X3,X9),X10))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aITERATEu_DELETE) ).
fof(f14089,plain,
( spl2410_46
| spl2410_36
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13522,f13303,f14044,f14086]) ).
fof(f14086,plain,
( spl2410_46
<=> p(s(bool,i(s(fun(fun(fun(cart(real,sK2122),bool),bool),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(fun(cart(real,sK2122),bool),bool),bool)),in),s(fun(cart(real,sK2122),bool),sK137(cart(real,sK2122),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))),s(fun(fun(cart(real,sK2122),bool),bool),sK134(cart(real,sK2122),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_46])]) ).
fof(f14044,plain,
( spl2410_36
<=> sP136(sK135(cart(real,sK2122),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),cart(real,sK2122)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_36])]) ).
fof(f13522,plain,
( sP136(sK135(cart(real,sK2122),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),cart(real,sK2122))
| p(s(bool,i(s(fun(fun(fun(cart(real,sK2122),bool),bool),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(fun(cart(real,sK2122),bool),bool),bool)),in),s(fun(cart(real,sK2122),bool),sK137(cart(real,sK2122),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))),s(fun(fun(cart(real,sK2122),bool),bool),sK134(cart(real,sK2122),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f6672]) ).
fof(f6672,plain,
! [X0,X1,X6] :
( p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),sK137(X0,X1,X6)))),s(fun(fun(X0,bool),bool),sK134(X0,X1)))))
| sP136(sK135(X0,X1),X1,X0)
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),X6)))) ),
inference(cnf_transformation,[],[f5584]) ).
fof(f5584,plain,
! [X1,X0] :
( ? [X8] :
( ! [X9] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),X9))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),X8))),s(fun(X0,bool),X9))))
| s(fun(X0,bool),X9) = s(fun(X0,bool),X8) )
& p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),X8)))) )
| ? [X2] :
( ! [X3] :
( ~ p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),X3))),s(fun(fun(X0,bool),bool),X2))))
| p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),X3)))) )
& ! [X4,X5] :
( ~ p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),X4))),s(fun(fun(X0,bool),bool),X2))))
| p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),X5))),s(fun(X0,bool),X4))))
| p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),X4))),s(fun(X0,bool),X5))))
| ~ p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),X5))),s(fun(fun(X0,bool),bool),X2)))) )
& ! [X6] :
( ? [X7] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),X7))),s(fun(X0,bool),X6))))
& p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),X7))),s(fun(fun(X0,bool),bool),X2)))) )
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),X6)))) ) ) ),
inference(flattening,[],[f5583]) ).
fof(f5583,plain,
! [X0,X1] :
( ? [X8] :
( ! [X9] :
( s(fun(X0,bool),X9) = s(fun(X0,bool),X8)
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),X9))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),X8))),s(fun(X0,bool),X9)))) )
& p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),X8)))) )
| ? [X2] :
( ! [X6] :
( ? [X7] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),X7))),s(fun(X0,bool),X6))))
& p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),X7))),s(fun(fun(X0,bool),bool),X2)))) )
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),X6)))) )
& ! [X3] :
( ~ p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),X3))),s(fun(fun(X0,bool),bool),X2))))
| p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),X3)))) )
& ! [X5,X4] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),X5))),s(fun(X0,bool),X4))))
| p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),X4))),s(fun(X0,bool),X5))))
| ~ p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),X5))),s(fun(fun(X0,bool),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),X4))),s(fun(fun(X0,bool),bool),X2)))) ) ) ),
inference(ennf_transformation,[],[f4612]) ).
fof(f4612,plain,
! [X0,X1] :
( ! [X2] :
( ( ! [X3] :
( p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),X3))),s(fun(fun(X0,bool),bool),X2))))
=> p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),X3)))) )
& ! [X5,X4] :
( ( p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),X5))),s(fun(fun(X0,bool),bool),X2))))
& p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),X4))),s(fun(fun(X0,bool),bool),X2)))) )
=> ( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),X5))),s(fun(X0,bool),X4))))
| p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),X4))),s(fun(X0,bool),X5)))) ) ) )
=> ? [X6] :
( ! [X7] :
( p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),X7))),s(fun(fun(X0,bool),bool),X2))))
=> p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),X7))),s(fun(X0,bool),X6)))) )
& p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),X6)))) ) )
=> ? [X8] :
( ! [X9] :
( ( p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),X9))))
& p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),X8))),s(fun(X0,bool),X9)))) )
=> s(fun(X0,bool),X9) = s(fun(X0,bool),X8) )
& p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),X8)))) ) ),
inference(rectify,[],[f2519]) ).
fof(f2519,axiom,
! [X3,X6] :
( ! [X94] :
( ( ! [X0] :
( p(s(bool,i(s(fun(fun(fun(X3,bool),bool),bool),i(s(fun(fun(X3,bool),fun(fun(fun(X3,bool),bool),bool)),in),s(fun(X3,bool),X0))),s(fun(fun(X3,bool),bool),X94))))
=> p(s(bool,i(s(fun(fun(X3,bool),bool),X6),s(fun(X3,bool),X0)))) )
& ! [X0,X7] :
( ( p(s(bool,i(s(fun(fun(fun(X3,bool),bool),bool),i(s(fun(fun(X3,bool),fun(fun(fun(X3,bool),bool),bool)),in),s(fun(X3,bool),X0))),s(fun(fun(X3,bool),bool),X94))))
& p(s(bool,i(s(fun(fun(fun(X3,bool),bool),bool),i(s(fun(fun(X3,bool),fun(fun(fun(X3,bool),bool),bool)),in),s(fun(X3,bool),X7))),s(fun(fun(X3,bool),bool),X94)))) )
=> ( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(fun(X3,bool),fun(fun(X3,bool),bool)),subset),s(fun(X3,bool),X7))),s(fun(X3,bool),X0))))
| p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(fun(X3,bool),fun(fun(X3,bool),bool)),subset),s(fun(X3,bool),X0))),s(fun(X3,bool),X7)))) ) ) )
=> ? [X8] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),X6),s(fun(X3,bool),X8))))
& ! [X0] :
( p(s(bool,i(s(fun(fun(fun(X3,bool),bool),bool),i(s(fun(fun(X3,bool),fun(fun(fun(X3,bool),bool),bool)),in),s(fun(X3,bool),X0))),s(fun(fun(X3,bool),bool),X94))))
=> p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(fun(X3,bool),fun(fun(X3,bool),bool)),subset),s(fun(X3,bool),X0))),s(fun(X3,bool),X8)))) ) ) )
=> ? [X15] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),X6),s(fun(X3,bool),X15))))
& ! [X0] :
( ( p(s(bool,i(s(fun(fun(X3,bool),bool),X6),s(fun(X3,bool),X0))))
& p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(fun(X3,bool),fun(fun(X3,bool),bool)),subset),s(fun(X3,bool),X15))),s(fun(X3,bool),X0)))) )
=> s(fun(X3,bool),X0) = s(fun(X3,bool),X15) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aZLu_SUBSETS) ).
fof(f14084,plain,
( ~ spl2410_4
| spl2410_45
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13409,f13303,f14082,f13905]) ).
fof(f14082,plain,
( spl2410_45
<=> ! [X165] :
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2213(X165,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122),sK2123)))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),bool),bool)),subset),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),i(s(fun(fun(cart(real,sK2122),cart(real,sK2122)),fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool))),image),s(fun(cart(real,sK2122),cart(real,sK2122)),X165))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ sP2212(sK2211(X165,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122)),sK2210(X165,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122)),cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X165) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_45])]) ).
fof(f13409,plain,
( ! [X165] :
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2213(X165,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122),sK2123)))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ sP2212(sK2211(X165,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122)),sK2210(X165,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122)),cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X165)
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),bool),bool)),subset),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),i(s(fun(fun(cart(real,sK2122),cart(real,sK2122)),fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool))),image),s(fun(cart(real,sK2122),cart(real,sK2122)),X165))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f10414]) ).
fof(f10414,plain,
! [X2,X3,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(fun(X2,bool),fun(fun(X2,bool),bool)),subset),s(fun(X2,bool),i(s(fun(fun(X2,bool),fun(X2,bool)),i(s(fun(fun(X2,X2),fun(fun(X2,bool),fun(X2,bool))),image),s(fun(X2,X2),X0))),s(fun(X2,bool),X1))))),s(fun(X2,bool),X1))))
| p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,sK2213(X0,X1,X2,X3)))),s(fun(X2,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X3))),s(fun(X2,bool),X1))))
| ~ sP2212(sK2211(X0,X1,X2),sK2210(X0,X1,X2),X2,X1,X0) ),
inference(cnf_transformation,[],[f6358]) ).
fof(f14080,plain,
( ~ spl2410_4
| spl2410_44
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13359,f13303,f14078,f13905]) ).
fof(f14078,plain,
( spl2410_44
<=> ! [X70,X71] :
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK693(i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122),X70,X71)))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK2122),real),X70),s(cart(real,sK2122),sK2123))))),s(real,i(s(fun(cart(real,sK2122),real),X71),s(cart(real,sK2122),sK2123))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),X70))))),s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),X71)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_44])]) ).
fof(f13359,plain,
( ! [X70,X71] :
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK693(i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122),X70,X71)))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),X70))))),s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),X71))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK2122),real),X70),s(cart(real,sK2122),sK2123))))),s(real,i(s(fun(cart(real,sK2122),real),X71),s(cart(real,sK2122),sK2123))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f7776]) ).
fof(f7776,plain,
! [X2,X3,X0,X1,X5] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(X1,real),X2),s(X1,X5))))),s(real,i(s(fun(X1,real),X3),s(X1,X5))))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X0))))
| p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,sK693(X0,X1,X2,X3)))),s(fun(X1,bool),X0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(fun(X1,real),real),i(s(fun(fun(X1,bool),fun(fun(X1,real),real)),sum),s(fun(X1,bool),X0))),s(fun(X1,real),X2))))),s(real,i(s(fun(fun(X1,real),real),i(s(fun(fun(X1,bool),fun(fun(X1,real),real)),sum),s(fun(X1,bool),X0))),s(fun(X1,real),X3))))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X5))),s(fun(X1,bool),X0)))) ),
inference(cnf_transformation,[],[f5247]) ).
fof(f14076,plain,
( ~ spl2410_4
| spl2410_43
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13477,f13303,f14074,f13905]) ).
fof(f14074,plain,
( spl2410_43
<=> ! [X317,X318,X316] :
( sQ2409_eqProxy(s(X316,sK1213(X317,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X318,X316,cart(real,sK2122))),s(X316,i(s(fun(cart(real,sK2122),X316),X317),s(cart(real,sK2122),sK1215(X317,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X318,X316,cart(real,sK2122))))))
| ~ p(s(bool,i(s(fun(fun(X316,bool),bool),i(s(fun(X316,fun(fun(X316,bool),bool)),in),s(X316,i(s(fun(cart(real,sK2122),X316),X317),s(cart(real,sK2122),sK1212(X317,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X318,X316,cart(real,sK2122))))))),s(fun(X316,bool),X318))))
| ~ sQ2409_eqProxy(s(X316,sK1213(X317,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X318,X316,cart(real,sK2122))),s(X316,i(s(fun(cart(real,sK2122),X316),X317),s(cart(real,sK2122),sK2123))))
| sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X316,bool),num),card),s(fun(X316,bool),X318)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_43])]) ).
fof(f13477,plain,
( ! [X318,X317,X316] :
( sQ2409_eqProxy(s(X316,sK1213(X317,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X318,X316,cart(real,sK2122))),s(X316,i(s(fun(cart(real,sK2122),X316),X317),s(cart(real,sK2122),sK1215(X317,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X318,X316,cart(real,sK2122))))))
| sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X316,bool),num),card),s(fun(X316,bool),X318))))
| ~ sQ2409_eqProxy(s(X316,sK1213(X317,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X318,X316,cart(real,sK2122))),s(X316,i(s(fun(cart(real,sK2122),X316),X317),s(cart(real,sK2122),sK2123))))
| ~ p(s(bool,i(s(fun(fun(X316,bool),bool),i(s(fun(X316,fun(fun(X316,bool),bool)),in),s(X316,i(s(fun(cart(real,sK2122),X316),X317),s(cart(real,sK2122),sK1212(X317,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X318,X316,cart(real,sK2122))))))),s(fun(X316,bool),X318))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12085]) ).
fof(f12085,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ sQ2409_eqProxy(s(X3,sK1213(X0,X1,X2,X3,X4)),s(X3,i(s(fun(X4,X3),X0),s(X4,X6))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X1))))
| sQ2409_eqProxy(s(num,i(s(fun(fun(X4,bool),num),card),s(fun(X4,bool),X1))),s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,i(s(fun(X4,X3),X0),s(X4,sK1212(X0,X1,X2,X3,X4)))))),s(fun(X3,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X6))),s(fun(X4,bool),X1))))
| sQ2409_eqProxy(s(X3,sK1213(X0,X1,X2,X3,X4)),s(X3,i(s(fun(X4,X3),X0),s(X4,sK1215(X0,X1,X2,X3,X4))))) ),
inference(equality_proxy_replacement,[],[f8725,f10758,f10758,f10758]) ).
fof(f8725,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,i(s(fun(X4,X3),X0),s(X4,sK1212(X0,X1,X2,X3,X4)))))),s(fun(X3,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X1))))
| s(num,i(s(fun(fun(X4,bool),num),card),s(fun(X4,bool),X1))) = s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2)))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X6))),s(fun(X4,bool),X1))))
| s(X3,sK1213(X0,X1,X2,X3,X4)) != s(X3,i(s(fun(X4,X3),X0),s(X4,X6)))
| s(X3,sK1213(X0,X1,X2,X3,X4)) = s(X3,i(s(fun(X4,X3),X0),s(X4,sK1215(X0,X1,X2,X3,X4)))) ),
inference(cnf_transformation,[],[f5541]) ).
fof(f14072,plain,
( spl2410_42
| ~ spl2410_4
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13435,f13303,f13905,f14070]) ).
fof(f14070,plain,
( spl2410_42
<=> ! [X214,X215] :
( sQ2409_eqProxy(s(cart(real,sK2122),sK2123),s(cart(real,sK2122),i(s(fun(X214,cart(real,sK2122)),sK312(X215,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122),X214)),s(X214,i(s(fun(cart(real,sK2122),X214),sK313(X215,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122),X214)),s(cart(real,sK2122),sK2123))))))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X214,bool),num),card),s(fun(X214,bool),X215))))
| ~ p(s(bool,i(s(fun(fun(X214,bool),bool),finite),s(fun(X214,bool),X215)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_42])]) ).
fof(f13435,plain,
( ! [X215,X214] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(cart(real,sK2122),sK2123),s(cart(real,sK2122),i(s(fun(X214,cart(real,sK2122)),sK312(X215,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122),X214)),s(X214,i(s(fun(cart(real,sK2122),X214),sK313(X215,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122),X214)),s(cart(real,sK2122),sK2123))))))
| ~ p(s(bool,i(s(fun(fun(X214,bool),bool),finite),s(fun(X214,bool),X215))))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X214,bool),num),card),s(fun(X214,bool),X215)))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f11153]) ).
fof(f11153,plain,
! [X2,X3,X0,X1,X7] :
( sQ2409_eqProxy(s(X2,X7),s(X2,i(s(fun(X3,X2),sK312(X0,X1,X2,X3)),s(X3,i(s(fun(X2,X3),sK313(X0,X1,X2,X3)),s(X2,X7))))))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X0))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X1))))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(X2,bool),num),card),s(fun(X2,bool),X1))),s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X0))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X7))),s(fun(X2,bool),X1)))) ),
inference(equality_proxy_replacement,[],[f7008,f10758,f10758]) ).
fof(f7008,plain,
! [X2,X3,X0,X1,X7] :
( ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X0))))
| s(num,i(s(fun(fun(X2,bool),num),card),s(fun(X2,bool),X1))) != s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X0)))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X1))))
| s(X2,X7) = s(X2,i(s(fun(X3,X2),sK312(X0,X1,X2,X3)),s(X3,i(s(fun(X2,X3),sK313(X0,X1,X2,X3)),s(X2,X7)))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X7))),s(fun(X2,bool),X1)))) ),
inference(cnf_transformation,[],[f5264]) ).
fof(f5264,plain,
! [X2,X0,X1,X3] :
( ? [X5,X4] :
( ! [X6] :
( ( s(X3,X6) = s(X3,i(s(fun(X2,X3),X4),s(X2,i(s(fun(X3,X2),X5),s(X3,X6)))))
& p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,i(s(fun(X3,X2),X5),s(X3,X6))))),s(fun(X2,bool),X1)))) )
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X6))),s(fun(X3,bool),X0)))) )
& ! [X7] :
( ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X7))),s(fun(X2,bool),X1))))
| ( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,i(s(fun(X2,X3),X4),s(X2,X7))))),s(fun(X3,bool),X0))))
& s(X2,i(s(fun(X3,X2),X5),s(X3,i(s(fun(X2,X3),X4),s(X2,X7))))) = s(X2,X7) ) ) )
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X1))))
| s(num,i(s(fun(fun(X2,bool),num),card),s(fun(X2,bool),X1))) != s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X0)))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X0)))) ),
inference(flattening,[],[f5263]) ).
fof(f5263,plain,
! [X2,X3,X0,X1] :
( ? [X5,X4] :
( ! [X6] :
( ( s(X3,X6) = s(X3,i(s(fun(X2,X3),X4),s(X2,i(s(fun(X3,X2),X5),s(X3,X6)))))
& p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,i(s(fun(X3,X2),X5),s(X3,X6))))),s(fun(X2,bool),X1)))) )
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X6))),s(fun(X3,bool),X0)))) )
& ! [X7] :
( ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X7))),s(fun(X2,bool),X1))))
| ( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,i(s(fun(X2,X3),X4),s(X2,X7))))),s(fun(X3,bool),X0))))
& s(X2,i(s(fun(X3,X2),X5),s(X3,i(s(fun(X2,X3),X4),s(X2,X7))))) = s(X2,X7) ) ) )
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X1))))
| s(num,i(s(fun(fun(X2,bool),num),card),s(fun(X2,bool),X1))) != s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X0)))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X0)))) ),
inference(ennf_transformation,[],[f4089]) ).
fof(f4089,plain,
! [X2,X3,X0,X1] :
( ( p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X1))))
& s(num,i(s(fun(fun(X2,bool),num),card),s(fun(X2,bool),X1))) = s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X0)))
& p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X0)))) )
=> ? [X4,X5] :
( ! [X6] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X6))),s(fun(X3,bool),X0))))
=> ( s(X3,X6) = s(X3,i(s(fun(X2,X3),X4),s(X2,i(s(fun(X3,X2),X5),s(X3,X6)))))
& p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,i(s(fun(X3,X2),X5),s(X3,X6))))),s(fun(X2,bool),X1)))) ) )
& ! [X7] :
( p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X7))),s(fun(X2,bool),X1))))
=> ( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,i(s(fun(X2,X3),X4),s(X2,X7))))),s(fun(X3,bool),X0))))
& s(X2,i(s(fun(X3,X2),X5),s(X3,i(s(fun(X2,X3),X4),s(X2,X7))))) = s(X2,X7) ) ) ) ),
inference(rectify,[],[f2050]) ).
fof(f2050,axiom,
! [X96,X14,X9,X3] :
( ( p(s(bool,i(s(fun(fun(X9,bool),bool),finite),s(fun(X9,bool),X14))))
& s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X96))) = s(num,i(s(fun(fun(X9,bool),num),card),s(fun(X9,bool),X14)))
& p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X96)))) )
=> ? [X17,X10] :
( ! [X0] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96))))
=> ( s(X3,X0) = s(X3,i(s(fun(X9,X3),X17),s(X9,i(s(fun(X3,X9),X10),s(X3,X0)))))
& p(s(bool,i(s(fun(fun(X9,bool),bool),i(s(fun(X9,fun(fun(X9,bool),bool)),in),s(X9,i(s(fun(X3,X9),X10),s(X3,X0))))),s(fun(X9,bool),X14)))) ) )
& ! [X7] :
( p(s(bool,i(s(fun(fun(X9,bool),bool),i(s(fun(X9,fun(fun(X9,bool),bool)),in),s(X9,X7))),s(fun(X9,bool),X14))))
=> ( s(X9,X7) = s(X9,i(s(fun(X3,X9),X10),s(X3,i(s(fun(X9,X3),X17),s(X9,X7)))))
& p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,i(s(fun(X9,X3),X17),s(X9,X7))))),s(fun(X3,bool),X96)))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aCARDu_EQu_BIJECTIONS) ).
fof(f14068,plain,
( spl2410_41
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13444,f13303,f14065]) ).
fof(f14065,plain,
( spl2410_41
<=> sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool))),insert),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_41])]) ).
fof(f13444,plain,
( sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool))),insert),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f11481]) ).
fof(f11481,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X0))),s(fun(X2,bool),X1))))
| sQ2409_eqProxy(s(fun(X2,bool),X1),s(fun(X2,bool),i(s(fun(fun(X2,bool),fun(X2,bool)),i(s(fun(X2,fun(fun(X2,bool),fun(X2,bool))),insert),s(X2,X0))),s(fun(X2,bool),X1)))) ),
inference(equality_proxy_replacement,[],[f7592,f10758]) ).
fof(f7592,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X0))),s(fun(X2,bool),X1))))
| s(fun(X2,bool),X1) = s(fun(X2,bool),i(s(fun(fun(X2,bool),fun(X2,bool)),i(s(fun(X2,fun(fun(X2,bool),fun(X2,bool))),insert),s(X2,X0))),s(fun(X2,bool),X1))) ),
inference(cnf_transformation,[],[f4579]) ).
fof(f4579,plain,
! [X0,X1,X2] :
( s(fun(X2,bool),X1) = s(fun(X2,bool),i(s(fun(fun(X2,bool),fun(X2,bool)),i(s(fun(X2,fun(fun(X2,bool),fun(X2,bool))),insert),s(X2,X0))),s(fun(X2,bool),X1)))
<=> p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X0))),s(fun(X2,bool),X1)))) ),
inference(rectify,[],[f1760]) ).
fof(f1760,axiom,
! [X0,X96,X3] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96))))
<=> s(fun(X3,bool),X96) = s(fun(X3,bool),i(s(fun(fun(X3,bool),fun(X3,bool)),i(s(fun(X3,fun(fun(X3,bool),fun(X3,bool))),insert),s(X3,X0))),s(fun(X3,bool),X96))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aABSORPTION) ).
fof(f14063,plain,
( ~ spl2410_40
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13341,f13303,f14060]) ).
fof(f14060,plain,
( spl2410_40
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK64(cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),sK2123))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_40])]) ).
fof(f13341,plain,
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK64(cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),sK2123)))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f6549]) ).
fof(f6549,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X2))),s(fun(X0,bool),sK64(X0,X1,X2)))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X2))),s(fun(X0,bool),X1)))) ),
inference(cnf_transformation,[],[f4565]) ).
fof(f14058,plain,
( spl2410_38
| spl2410_39
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13623,f13303,f14056,f14053]) ).
fof(f14056,plain,
( spl2410_39
<=> ! [X540] :
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(fun(fun(cart(real,sK2122),bool),bool),fun(fun(cart(real,sK2122),bool),bool)),X540),s(fun(fun(cart(real,sK2122),bool),bool),sK1996(fun(cart(real,sK2122),bool),X540)))),s(fun(cart(real,sK2122),bool),sK1995(fun(cart(real,sK2122),bool),X540)))))
| ~ p(s(bool,i(s(fun(fun(fun(cart(real,sK2122),bool),bool),bool),finite),s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(fun(fun(cart(real,sK2122),bool),bool),fun(fun(cart(real,sK2122),bool),bool)),gspec),s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(fun(fun(cart(real,sK2122),bool),bool),fun(fun(cart(real,sK2122),bool),bool)),X540),s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))))))))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(bool,fun(fun(cart(real,sK2122),bool),bool)),i(s(fun(fun(cart(real,sK2122),bool),fun(bool,fun(fun(cart(real,sK2122),bool),bool))),setspec),s(fun(cart(real,sK2122),bool),sK1995(fun(cart(real,sK2122),bool),X540)))),s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),sK1996(fun(cart(real,sK2122),bool),X540)),s(fun(cart(real,sK2122),bool),sK2002(fun(cart(real,sK2122),bool),X540)))))),s(fun(cart(real,sK2122),bool),sK2002(fun(cart(real,sK2122),bool),X540))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_39])]) ).
fof(f13623,plain,
( ! [X540,X539] :
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(fun(fun(cart(real,sK2122),bool),bool),fun(fun(cart(real,sK2122),bool),bool)),X540),s(fun(fun(cart(real,sK2122),bool),bool),sK1996(fun(cart(real,sK2122),bool),X540)))),s(fun(cart(real,sK2122),bool),sK1995(fun(cart(real,sK2122),bool),X540)))))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(bool,fun(fun(cart(real,sK2122),bool),bool)),i(s(fun(fun(cart(real,sK2122),bool),fun(bool,fun(fun(cart(real,sK2122),bool),bool))),setspec),s(fun(cart(real,sK2122),bool),sK1995(fun(cart(real,sK2122),bool),X540)))),s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),sK1996(fun(cart(real,sK2122),bool),X540)),s(fun(cart(real,sK2122),bool),sK2002(fun(cart(real,sK2122),bool),X540)))))),s(fun(cart(real,sK2122),bool),sK2002(fun(cart(real,sK2122),bool),X540)))))
| sP2004(sK2000(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),X539),sK2001(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),X539),sK1999(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),X539),X539,i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))
| sP2003(sK1998(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),X539),X539,i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))
| ~ p(s(bool,i(s(fun(fun(fun(cart(real,sK2122),bool),bool),bool),finite),s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(fun(fun(cart(real,sK2122),bool),bool),fun(fun(cart(real,sK2122),bool),bool)),gspec),s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(fun(fun(cart(real,sK2122),bool),bool),fun(fun(cart(real,sK2122),bool),bool)),X540),s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))))))))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(real,fun(fun(cart(real,sK2122),bool),bool)),X539),s(real,sK1997(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),X539)))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f10005]) ).
fof(f10005,plain,
! [X0,X1,X6,X5,X13] :
( p(s(bool,i(s(fun(X0,bool),i(s(fun(real,fun(X0,bool)),X6),s(real,sK1997(X0,X5,X6)))),s(X0,X13))))
| ~ p(s(bool,i(s(fun(X0,bool),X5),s(X0,X13))))
| sP2003(sK1998(X0,X5,X6),X6,X5,X0)
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),gspec),s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),X1),s(fun(X0,bool),X5))))))))
| p(s(bool,i(s(fun(X0,bool),i(s(fun(bool,fun(X0,bool)),i(s(fun(X0,fun(bool,fun(X0,bool))),setspec),s(X0,sK1995(X0,X1)))),s(bool,i(s(fun(X0,bool),sK1996(X0,X1)),s(X0,sK2002(X0,X1)))))),s(X0,sK2002(X0,X1)))))
| sP2004(sK2000(X0,X5,X6),sK2001(X0,X5,X6),sK1999(X0,X5,X6),X6,X5,X0)
| p(s(bool,i(s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),X1),s(fun(X0,bool),sK1996(X0,X1)))),s(X0,sK1995(X0,X1))))) ),
inference(cnf_transformation,[],[f6364]) ).
fof(f14051,plain,
( spl2410_36
| ~ spl2410_37
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13523,f13303,f14048,f14044]) ).
fof(f14048,plain,
( spl2410_37
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),bool),bool)),subset),s(fun(cart(real,sK2122),bool),sK137(cart(real,sK2122),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_37])]) ).
fof(f13523,plain,
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),bool),bool)),subset),s(fun(cart(real,sK2122),bool),sK137(cart(real,sK2122),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sP136(sK135(cart(real,sK2122),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),cart(real,sK2122))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f6673]) ).
fof(f6673,plain,
! [X0,X1,X6] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),X6))))
| sP136(sK135(X0,X1),X1,X0)
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),sK137(X0,X1,X6)))),s(fun(X0,bool),X6)))) ),
inference(cnf_transformation,[],[f5584]) ).
fof(f14042,plain,
( ~ spl2410_4
| spl2410_35
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13478,f13303,f14040,f13905]) ).
fof(f14040,plain,
( spl2410_35
<=> ! [X321,X320,X319] :
( sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X319,bool),num),card),s(fun(X319,bool),X320))))
| sQ2409_eqProxy(s(X319,i(s(fun(cart(real,sK2122),X319),X321),s(cart(real,sK2122),sK1214(X321,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X320,X319,cart(real,sK2122))))),s(X319,sK1213(X321,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X320,X319,cart(real,sK2122))))
| ~ sQ2409_eqProxy(s(X319,sK1213(X321,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X320,X319,cart(real,sK2122))),s(X319,i(s(fun(cart(real,sK2122),X319),X321),s(cart(real,sK2122),sK2123))))
| ~ p(s(bool,i(s(fun(fun(X319,bool),bool),i(s(fun(X319,fun(fun(X319,bool),bool)),in),s(X319,i(s(fun(cart(real,sK2122),X319),X321),s(cart(real,sK2122),sK1212(X321,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X320,X319,cart(real,sK2122))))))),s(fun(X319,bool),X320)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_35])]) ).
fof(f13478,plain,
( ! [X319,X321,X320] :
( sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X319,bool),num),card),s(fun(X319,bool),X320))))
| ~ p(s(bool,i(s(fun(fun(X319,bool),bool),i(s(fun(X319,fun(fun(X319,bool),bool)),in),s(X319,i(s(fun(cart(real,sK2122),X319),X321),s(cart(real,sK2122),sK1212(X321,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X320,X319,cart(real,sK2122))))))),s(fun(X319,bool),X320))))
| ~ sQ2409_eqProxy(s(X319,sK1213(X321,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X320,X319,cart(real,sK2122))),s(X319,i(s(fun(cart(real,sK2122),X319),X321),s(cart(real,sK2122),sK2123))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(X319,i(s(fun(cart(real,sK2122),X319),X321),s(cart(real,sK2122),sK1214(X321,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X320,X319,cart(real,sK2122))))),s(X319,sK1213(X321,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X320,X319,cart(real,sK2122)))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12086]) ).
fof(f12086,plain,
! [X2,X3,X0,X1,X6,X4] :
( sQ2409_eqProxy(s(num,i(s(fun(fun(X4,bool),num),card),s(fun(X4,bool),X1))),s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2))))
| sQ2409_eqProxy(s(X3,i(s(fun(X4,X3),X0),s(X4,sK1214(X0,X1,X2,X3,X4)))),s(X3,sK1213(X0,X1,X2,X3,X4)))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,i(s(fun(X4,X3),X0),s(X4,sK1212(X0,X1,X2,X3,X4)))))),s(fun(X3,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X1))))
| ~ sQ2409_eqProxy(s(X3,sK1213(X0,X1,X2,X3,X4)),s(X3,i(s(fun(X4,X3),X0),s(X4,X6))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X6))),s(fun(X4,bool),X1)))) ),
inference(equality_proxy_replacement,[],[f8724,f10758,f10758,f10758]) ).
fof(f8724,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,i(s(fun(X4,X3),X0),s(X4,sK1212(X0,X1,X2,X3,X4)))))),s(fun(X3,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X1))))
| s(num,i(s(fun(fun(X4,bool),num),card),s(fun(X4,bool),X1))) = s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2)))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X6))),s(fun(X4,bool),X1))))
| s(X3,sK1213(X0,X1,X2,X3,X4)) != s(X3,i(s(fun(X4,X3),X0),s(X4,X6)))
| s(X3,i(s(fun(X4,X3),X0),s(X4,sK1214(X0,X1,X2,X3,X4)))) = s(X3,sK1213(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f5541]) ).
fof(f14038,plain,
( ~ spl2410_4
| spl2410_34
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13485,f13303,f14036,f13905]) ).
fof(f14036,plain,
( spl2410_34
<=> ! [X340,X339,X341] :
( ~ p(s(bool,i(s(fun(fun(X340,bool),bool),finite),s(fun(X340,bool),X341))))
| ~ sQ2409_eqProxy(s(X340,i(s(fun(cart(real,sK2122),X340),sK1299(cart(real,sK2122),X341,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X340)),s(cart(real,sK2122),sK2123))),s(X340,i(s(fun(cart(real,sK2122),X340),sK1299(cart(real,sK2122),X341,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X340)),s(cart(real,sK2122),X339))))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(X340,bool),num),card),s(fun(X340,bool),X341))),s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(cart(real,sK2122),sK2123),s(cart(real,sK2122),X339))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),X339))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_34])]) ).
fof(f13485,plain,
( ! [X341,X340,X339] :
( ~ p(s(bool,i(s(fun(fun(X340,bool),bool),finite),s(fun(X340,bool),X341))))
| sQ2409_eqProxy(s(cart(real,sK2122),sK2123),s(cart(real,sK2122),X339))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),X339))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(X340,bool),num),card),s(fun(X340,bool),X341))),s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ sQ2409_eqProxy(s(X340,i(s(fun(cart(real,sK2122),X340),sK1299(cart(real,sK2122),X341,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X340)),s(cart(real,sK2122),sK2123))),s(X340,i(s(fun(cart(real,sK2122),X340),sK1299(cart(real,sK2122),X341,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X340)),s(cart(real,sK2122),X339)))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12150]) ).
fof(f14034,plain,
( spl2410_7
| ~ spl2410_33
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13656,f13303,f14031,f13920]) ).
fof(f14031,plain,
( spl2410_33
<=> sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),sK1228(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))),s(fun(cart(real,sK2122),bool),sK1229(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_33])]) ).
fof(f13656,plain,
( ~ sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),sK1228(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))),s(fun(cart(real,sK2122),bool),sK1229(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))))
| sP1226(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12107]) ).
fof(f12107,plain,
! [X0,X1,X7] :
( ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X7))))
| sP1226(X1,X0)
| ~ sQ2409_eqProxy(s(X0,sK1228(X0,X1)),s(X0,sK1229(X0,X1))) ),
inference(equality_proxy_replacement,[],[f8775,f10758]) ).
fof(f8775,plain,
! [X0,X1,X7] :
( sP1226(X1,X0)
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X7))))
| s(X0,sK1228(X0,X1)) != s(X0,sK1229(X0,X1)) ),
inference(cnf_transformation,[],[f5590]) ).
fof(f14029,plain,
( ~ spl2410_4
| spl2410_32
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13504,f13303,f14027,f13905]) ).
fof(f14027,plain,
( spl2410_32
<=> ! [X392,X393] :
( sQ2409_eqProxy(s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),real)),X392),s(cart(real,sK2122),sK2123))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),f))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,y))),s(real,i(s(fun(cart(real,sK2122),real),f),s(cart(real,sK2122),sK2123))))))))
| p(s(bool,X393))
| ~ sQ2409_eqProxy(s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),i(s(fun(bool,fun(real,fun(real,real))),cond),s(bool,X393))),s(real,y))),s(real,i(s(fun(cart(real,sK2122),real),f),s(cart(real,sK2122),sK2048(cart(real,sK2122),X392)))))),s(real,i(s(fun(cart(real,sK2122),real),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),real)),X392),s(cart(real,sK2122),sK2047(cart(real,sK2122),X392)))),s(cart(real,sK2122),sK2048(cart(real,sK2122),X392)))))
| sQ2409_eqProxy(s(cart(real,sK2122),sK2047(cart(real,sK2122),X392)),s(cart(real,sK2122),sK2048(cart(real,sK2122),X392))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_32])]) ).
fof(f13504,plain,
( ! [X393,X392] :
( sQ2409_eqProxy(s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),real)),X392),s(cart(real,sK2122),sK2123))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),f))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,y))),s(real,i(s(fun(cart(real,sK2122),real),f),s(cart(real,sK2122),sK2123))))))))
| sQ2409_eqProxy(s(cart(real,sK2122),sK2047(cart(real,sK2122),X392)),s(cart(real,sK2122),sK2048(cart(real,sK2122),X392)))
| ~ sQ2409_eqProxy(s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),i(s(fun(bool,fun(real,fun(real,real))),cond),s(bool,X393))),s(real,y))),s(real,i(s(fun(cart(real,sK2122),real),f),s(cart(real,sK2122),sK2048(cart(real,sK2122),X392)))))),s(real,i(s(fun(cart(real,sK2122),real),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),real)),X392),s(cart(real,sK2122),sK2047(cart(real,sK2122),X392)))),s(cart(real,sK2122),sK2048(cart(real,sK2122),X392)))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| p(s(bool,X393)) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12913]) ).
fof(f12913,plain,
! [X0,X1,X6,X4,X5] :
( sQ2409_eqProxy(s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X6))),s(fun(X0,real),i(s(fun(X0,fun(X0,real)),X1),s(X0,X5))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X6))),s(fun(X0,real),f))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,y))),s(real,i(s(fun(X0,real),f),s(X0,X5))))))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X6))))
| p(s(bool,X4))
| ~ sQ2409_eqProxy(s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),i(s(fun(bool,fun(real,fun(real,real))),cond),s(bool,X4))),s(real,y))),s(real,i(s(fun(X0,real),f),s(X0,sK2048(X0,X1)))))),s(real,i(s(fun(X0,real),i(s(fun(X0,fun(X0,real)),X1),s(X0,sK2047(X0,X1)))),s(X0,sK2048(X0,X1)))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X5))),s(fun(X0,bool),X6))))
| sQ2409_eqProxy(s(X0,sK2047(X0,X1)),s(X0,sK2048(X0,X1))) ),
inference(equality_proxy_replacement,[],[f10117,f10758,f10758,f10758]) ).
fof(f10117,plain,
! [X0,X1,X6,X4,X5] :
( s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),i(s(fun(bool,fun(real,fun(real,real))),cond),s(bool,X4))),s(real,y))),s(real,i(s(fun(X0,real),f),s(X0,sK2048(X0,X1)))))) != s(real,i(s(fun(X0,real),i(s(fun(X0,fun(X0,real)),X1),s(X0,sK2047(X0,X1)))),s(X0,sK2048(X0,X1))))
| p(s(bool,X4))
| s(X0,sK2047(X0,X1)) = s(X0,sK2048(X0,X1))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X6))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X5))),s(fun(X0,bool),X6))))
| s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X6))),s(fun(X0,real),i(s(fun(X0,fun(X0,real)),X1),s(X0,X5))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(fun(X0,real),real),i(s(fun(fun(X0,bool),fun(fun(X0,real),real)),sum),s(fun(X0,bool),X6))),s(fun(X0,real),f))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,y))),s(real,i(s(fun(X0,real),f),s(X0,X5))))))) ),
inference(cnf_transformation,[],[f6370]) ).
fof(f14025,plain,
( spl2410_30
| spl2410_31
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13331,f13303,f14023,f14019]) ).
fof(f14019,plain,
( spl2410_30
<=> sQ2409_eqProxy(s(cart(real,sK2122),i(s(fun(num,cart(real,sK2122)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(cart(real,sK2122),sK2123)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_30])]) ).
fof(f14023,plain,
( spl2410_31
<=> ! [X25,X26] :
( ~ sP2257(sK2123,X26,X25,sK2122,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))
| ~ sQ2409_eqProxy(s(cart(real,X25),i(s(fun(cart(real,sK2122),cart(real,X25)),X26),s(cart(real,sK2122),sK2123))),s(cart(real,X25),i(s(fun(num,cart(real,X25)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_31])]) ).
fof(f13331,plain,
( ! [X26,X25] :
( ~ sP2257(sK2123,X26,X25,sK2122,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))
| sQ2409_eqProxy(s(cart(real,sK2122),i(s(fun(num,cart(real,sK2122)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(cart(real,sK2122),sK2123))
| ~ sQ2409_eqProxy(s(cart(real,X25),i(s(fun(cart(real,sK2122),cart(real,X25)),X26),s(cart(real,sK2122),sK2123))),s(cart(real,X25),i(s(fun(num,cart(real,X25)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f13121]) ).
fof(f13121,plain,
! [X2,X3,X0,X1,X4] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X4))),s(fun(cart(real,X1),bool),X0))))
| ~ sQ2409_eqProxy(s(cart(real,X2),i(s(fun(cart(real,X1),cart(real,X2)),X3),s(cart(real,X1),X4))),s(cart(real,X2),i(s(fun(num,cart(real,X2)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))
| ~ sP2257(X4,X3,X2,X1,X0)
| sQ2409_eqProxy(s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(cart(real,X1),X4)) ),
inference(equality_proxy_replacement,[],[f10489,f10758,f10758]) ).
fof(f10489,plain,
! [X2,X3,X0,X1,X4] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X4))),s(fun(cart(real,X1),bool),X0))))
| s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(cart(real,X1),X4)
| s(cart(real,X2),i(s(fun(cart(real,X1),cart(real,X2)),X3),s(cart(real,X1),X4))) != s(cart(real,X2),i(s(fun(num,cart(real,X2)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| ~ sP2257(X4,X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f5882]) ).
fof(f5882,plain,
! [X0,X2,X3,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X2)),bool),linear),s(fun(cart(real,X1),cart(real,X2)),X3))))
| ( ! [X5,X6] :
( s(cart(real,X1),X6) = s(cart(real,X1),X5)
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X5))),s(fun(cart(real,X1),bool),X0))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X6))),s(fun(cart(real,X1),bool),X0))))
| s(cart(real,X2),i(s(fun(cart(real,X1),cart(real,X2)),X3),s(cart(real,X1),X5))) != s(cart(real,X2),i(s(fun(cart(real,X1),cart(real,X2)),X3),s(cart(real,X1),X6))) )
<=> ! [X4] :
( s(cart(real,X2),i(s(fun(cart(real,X1),cart(real,X2)),X3),s(cart(real,X1),X4))) != s(cart(real,X2),i(s(fun(num,cart(real,X2)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(cart(real,X1),X4)
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X4))),s(fun(cart(real,X1),bool),X0)))) ) )
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),subspace),s(fun(cart(real,X1),bool),X0)))) ),
inference(flattening,[],[f5881]) ).
fof(f5881,plain,
! [X0,X2,X1,X3] :
( ( ! [X6,X5] :
( s(cart(real,X1),X6) = s(cart(real,X1),X5)
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X5))),s(fun(cart(real,X1),bool),X0))))
| s(cart(real,X2),i(s(fun(cart(real,X1),cart(real,X2)),X3),s(cart(real,X1),X5))) != s(cart(real,X2),i(s(fun(cart(real,X1),cart(real,X2)),X3),s(cart(real,X1),X6)))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X6))),s(fun(cart(real,X1),bool),X0)))) )
<=> ! [X4] :
( s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(cart(real,X1),X4)
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X4))),s(fun(cart(real,X1),bool),X0))))
| s(cart(real,X2),i(s(fun(cart(real,X1),cart(real,X2)),X3),s(cart(real,X1),X4))) != s(cart(real,X2),i(s(fun(num,cart(real,X2)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X2)),bool),linear),s(fun(cart(real,X1),cart(real,X2)),X3))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),subspace),s(fun(cart(real,X1),bool),X0)))) ),
inference(ennf_transformation,[],[f3459]) ).
fof(f3459,plain,
! [X0,X2,X1,X3] :
( ( p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X2)),bool),linear),s(fun(cart(real,X1),cart(real,X2)),X3))))
& p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),subspace),s(fun(cart(real,X1),bool),X0)))) )
=> ( ! [X6,X5] :
( ( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X5))),s(fun(cart(real,X1),bool),X0))))
& s(cart(real,X2),i(s(fun(cart(real,X1),cart(real,X2)),X3),s(cart(real,X1),X5))) = s(cart(real,X2),i(s(fun(cart(real,X1),cart(real,X2)),X3),s(cart(real,X1),X6)))
& p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X6))),s(fun(cart(real,X1),bool),X0)))) )
=> s(cart(real,X1),X6) = s(cart(real,X1),X5) )
<=> ! [X4] :
( ( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X4))),s(fun(cart(real,X1),bool),X0))))
& s(cart(real,X2),i(s(fun(cart(real,X1),cart(real,X2)),X3),s(cart(real,X1),X4))) = s(cart(real,X2),i(s(fun(num,cart(real,X2)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )
=> s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(cart(real,X1),X4) ) ) ),
inference(rectify,[],[f3311]) ).
fof(f3311,axiom,
! [X96,X737,X732,X10] :
( ( p(s(bool,i(s(fun(fun(cart(real,X737),cart(real,X732)),bool),linear),s(fun(cart(real,X737),cart(real,X732)),X10))))
& p(s(bool,i(s(fun(fun(cart(real,X737),bool),bool),subspace),s(fun(cart(real,X737),bool),X96)))) )
=> ( ! [X0] :
( ( s(cart(real,X732),i(s(fun(num,cart(real,X732)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(cart(real,X732),i(s(fun(cart(real,X737),cart(real,X732)),X10),s(cart(real,X737),X0)))
& p(s(bool,i(s(fun(fun(cart(real,X737),bool),bool),i(s(fun(cart(real,X737),fun(fun(cart(real,X737),bool),bool)),in),s(cart(real,X737),X0))),s(fun(cart(real,X737),bool),X96)))) )
=> s(cart(real,X737),X0) = s(cart(real,X737),i(s(fun(num,cart(real,X737)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )
<=> ! [X7,X0] :
( ( p(s(bool,i(s(fun(fun(cart(real,X737),bool),bool),i(s(fun(cart(real,X737),fun(fun(cart(real,X737),bool),bool)),in),s(cart(real,X737),X7))),s(fun(cart(real,X737),bool),X96))))
& p(s(bool,i(s(fun(fun(cart(real,X737),bool),bool),i(s(fun(cart(real,X737),fun(fun(cart(real,X737),bool),bool)),in),s(cart(real,X737),X0))),s(fun(cart(real,X737),bool),X96))))
& s(cart(real,X732),i(s(fun(cart(real,X737),cart(real,X732)),X10),s(cart(real,X737),X0))) = s(cart(real,X732),i(s(fun(cart(real,X737),cart(real,X732)),X10),s(cart(real,X737),X7))) )
=> s(cart(real,X737),X0) = s(cart(real,X737),X7) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aLINEARu_INJECTIVEu_0u_SUBSPACE) ).
fof(f14017,plain,
( ~ spl2410_4
| spl2410_29
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13436,f13303,f14015,f13905]) ).
fof(f14015,plain,
( spl2410_29
<=> ! [X217,X216] :
( ~ sQ2409_eqProxy(s(num,i(s(fun(fun(X216,bool),num),card),s(fun(X216,bool),X217))),s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(cart(real,sK2122),sK2123),s(cart(real,sK2122),i(s(fun(X216,cart(real,sK2122)),sK313(i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X217,X216,cart(real,sK2122))),s(X216,i(s(fun(cart(real,sK2122),X216),sK312(i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X217,X216,cart(real,sK2122))),s(cart(real,sK2122),sK2123))))))
| ~ p(s(bool,i(s(fun(fun(X216,bool),bool),finite),s(fun(X216,bool),X217)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_29])]) ).
fof(f13436,plain,
( ! [X216,X217] :
( ~ sQ2409_eqProxy(s(num,i(s(fun(fun(X216,bool),num),card),s(fun(X216,bool),X217))),s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(X216,bool),bool),finite),s(fun(X216,bool),X217))))
| sQ2409_eqProxy(s(cart(real,sK2122),sK2123),s(cart(real,sK2122),i(s(fun(X216,cart(real,sK2122)),sK313(i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X217,X216,cart(real,sK2122))),s(X216,i(s(fun(cart(real,sK2122),X216),sK312(i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X217,X216,cart(real,sK2122))),s(cart(real,sK2122),sK2123)))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f11154]) ).
fof(f11154,plain,
! [X2,X3,X0,X1,X6] :
( ~ sQ2409_eqProxy(s(num,i(s(fun(fun(X2,bool),num),card),s(fun(X2,bool),X1))),s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X0))))
| sQ2409_eqProxy(s(X3,X6),s(X3,i(s(fun(X2,X3),sK313(X0,X1,X2,X3)),s(X2,i(s(fun(X3,X2),sK312(X0,X1,X2,X3)),s(X3,X6))))))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X6))),s(fun(X3,bool),X0))))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X0))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X1)))) ),
inference(equality_proxy_replacement,[],[f7007,f10758,f10758]) ).
fof(f7007,plain,
! [X2,X3,X0,X1,X6] :
( ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X0))))
| s(num,i(s(fun(fun(X2,bool),num),card),s(fun(X2,bool),X1))) != s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X0)))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X6))),s(fun(X3,bool),X0))))
| s(X3,X6) = s(X3,i(s(fun(X2,X3),sK313(X0,X1,X2,X3)),s(X2,i(s(fun(X3,X2),sK312(X0,X1,X2,X3)),s(X3,X6))))) ),
inference(cnf_transformation,[],[f5264]) ).
fof(f14013,plain,
( ~ spl2410_4
| spl2410_28
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13520,f13303,f14011,f13905]) ).
fof(f14011,plain,
( spl2410_28
<=> ! [X443,X442,X441] :
( ~ sQ2409_eqProxy(s(X441,i(s(fun(cart(real,sK2122),X441),X442),s(cart(real,sK2122),X443))),s(X441,i(s(fun(cart(real,sK2122),X441),X442),s(cart(real,sK2122),sK2123))))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(X441,bool),num),card),s(fun(X441,bool),i(s(fun(fun(cart(real,sK2122),bool),fun(X441,bool)),i(s(fun(fun(cart(real,sK2122),X441),fun(fun(cart(real,sK2122),bool),fun(X441,bool))),image),s(fun(cart(real,sK2122),X441),X442))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))),s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),X443))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(cart(real,sK2122),X443),s(cart(real,sK2122),sK2123)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_28])]) ).
fof(f13520,plain,
( ! [X443,X442,X441] :
( ~ sQ2409_eqProxy(s(X441,i(s(fun(cart(real,sK2122),X441),X442),s(cart(real,sK2122),X443))),s(X441,i(s(fun(cart(real,sK2122),X441),X442),s(cart(real,sK2122),sK2123))))
| sQ2409_eqProxy(s(cart(real,sK2122),X443),s(cart(real,sK2122),sK2123))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),X443))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(X441,bool),num),card),s(fun(X441,bool),i(s(fun(fun(cart(real,sK2122),bool),fun(X441,bool)),i(s(fun(fun(cart(real,sK2122),X441),fun(fun(cart(real,sK2122),bool),fun(X441,bool))),image),s(fun(cart(real,sK2122),X441),X442))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))),s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f13272]) ).
fof(f14009,plain,
( spl2410_26
| ~ spl2410_27
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13612,f13303,f14006,f14002]) ).
fof(f14002,plain,
( spl2410_26
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(fun(fun(fun(cart(real,sK2122),bool),bool),bool),fun(fun(cart(real,sK2122),bool),bool)),unions),s(fun(fun(fun(cart(real,sK2122),bool),bool),bool),p0))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_26])]) ).
fof(f14006,plain,
( spl2410_27
<=> p(s(bool,i(s(fun(fun(fun(cart(real,sK2122),bool),bool),bool),p0),s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_27])]) ).
fof(f13612,plain,
( ~ p(s(bool,i(s(fun(fun(fun(cart(real,sK2122),bool),bool),bool),p0),s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(fun(fun(fun(cart(real,sK2122),bool),bool),bool),fun(fun(cart(real,sK2122),bool),bool)),unions),s(fun(fun(fun(cart(real,sK2122),bool),bool),bool),p0))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f9379]) ).
fof(f9379,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(X0,bool),i(s(fun(fun(fun(X0,bool),bool),fun(X0,bool)),unions),s(fun(fun(X0,bool),bool),p0))),s(X0,X1))))
| ~ p(s(bool,i(s(fun(X0,bool),X2),s(X0,X1))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),p0),s(fun(X0,bool),X2)))) ),
inference(cnf_transformation,[],[f5034]) ).
fof(f5034,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(X0,bool),i(s(fun(fun(fun(X0,bool),bool),fun(X0,bool)),unions),s(fun(fun(X0,bool),bool),p0))),s(X0,X1))))
<=> ? [X2] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),p0),s(fun(X0,bool),X2))))
& p(s(bool,i(s(fun(X0,bool),X2),s(X0,X1)))) ) ),
inference(rectify,[],[f2456]) ).
fof(f2456,axiom,
! [X845,X0] :
( ? [X6] :
( p(s(bool,i(s(fun(fun(X845,bool),bool),p0),s(fun(X845,bool),X6))))
& p(s(bool,i(s(fun(X845,bool),X6),s(X845,X0)))) )
<=> p(s(bool,i(s(fun(X845,bool),i(s(fun(fun(fun(X845,bool),bool),fun(X845,bool)),unions),s(fun(fun(X845,bool),bool),p0))),s(X845,X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aUNIONSu_PRED) ).
fof(f14000,plain,
( ~ spl2410_4
| spl2410_25
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13403,f13303,f13998,f13905]) ).
fof(f13998,plain,
( spl2410_25
<=> ! [X154] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,sK2022(cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X154)))),s(num,i(s(fun(cart(real,sK2122),num),X154),s(cart(real,sK2122),sK2123)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_25])]) ).
fof(f13403,plain,
( ! [X154] :
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,sK2022(cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X154)))),s(num,i(s(fun(cart(real,sK2122),num),X154),s(cart(real,sK2122),sK2123))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f10070]) ).
fof(f10070,plain,
! [X2,X0,X1,X4] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X4))),s(fun(X0,bool),X1))))
| p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,sK2022(X0,X1,X2)))),s(num,i(s(fun(X0,num),X2),s(X0,X4))))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X1)))) ),
inference(cnf_transformation,[],[f5963]) ).
fof(f5963,plain,
! [X0,X2,X1] :
( ? [X3] :
! [X4] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X4))),s(fun(X0,bool),X1))))
| p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X3))),s(num,i(s(fun(X0,num),X2),s(X0,X4)))))) )
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X1)))) ),
inference(ennf_transformation,[],[f4330]) ).
fof(f4330,plain,
! [X2,X1,X0] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X1))))
=> ? [X3] :
! [X4] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X4))),s(fun(X0,bool),X1))))
=> p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X3))),s(num,i(s(fun(X0,num),X2),s(X0,X4)))))) ) ),
inference(rectify,[],[f2674]) ).
fof(f2674,axiom,
! [X3,X96,X10] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X96))))
=> ? [X15] :
! [X0] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96))))
=> p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X15))),s(num,i(s(fun(X3,num),X10),s(X3,X0)))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aLOWERu_BOUNDu_FINITEu_SET) ).
fof(f13996,plain,
( spl2410_24
| ~ spl2410_4
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13476,f13303,f13905,f13994]) ).
fof(f13994,plain,
( spl2410_24
<=> ! [X315,X314,X313] :
( ~ p(s(bool,i(s(fun(fun(X313,bool),bool),i(s(fun(X313,fun(fun(X313,bool),bool)),in),s(X313,i(s(fun(cart(real,sK2122),X313),X314),s(cart(real,sK2122),sK1212(X314,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X315,X313,cart(real,sK2122))))))),s(fun(X313,bool),X315))))
| ~ sQ2409_eqProxy(s(cart(real,sK2122),sK1214(X314,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X315,X313,cart(real,sK2122))),s(cart(real,sK2122),sK1215(X314,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X315,X313,cart(real,sK2122))))
| sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X313,bool),num),card),s(fun(X313,bool),X315))))
| ~ sQ2409_eqProxy(s(X313,sK1213(X314,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X315,X313,cart(real,sK2122))),s(X313,i(s(fun(cart(real,sK2122),X313),X314),s(cart(real,sK2122),sK2123)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_24])]) ).
fof(f13476,plain,
( ! [X315,X314,X313] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(X313,bool),bool),i(s(fun(X313,fun(fun(X313,bool),bool)),in),s(X313,i(s(fun(cart(real,sK2122),X313),X314),s(cart(real,sK2122),sK1212(X314,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X315,X313,cart(real,sK2122))))))),s(fun(X313,bool),X315))))
| ~ sQ2409_eqProxy(s(X313,sK1213(X314,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X315,X313,cart(real,sK2122))),s(X313,i(s(fun(cart(real,sK2122),X313),X314),s(cart(real,sK2122),sK2123))))
| sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X313,bool),num),card),s(fun(X313,bool),X315))))
| ~ sQ2409_eqProxy(s(cart(real,sK2122),sK1214(X314,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X315,X313,cart(real,sK2122))),s(cart(real,sK2122),sK1215(X314,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X315,X313,cart(real,sK2122)))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12084]) ).
fof(f12084,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,i(s(fun(X4,X3),X0),s(X4,sK1212(X0,X1,X2,X3,X4)))))),s(fun(X3,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X1))))
| ~ sQ2409_eqProxy(s(X4,sK1214(X0,X1,X2,X3,X4)),s(X4,sK1215(X0,X1,X2,X3,X4)))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X6))),s(fun(X4,bool),X1))))
| sQ2409_eqProxy(s(num,i(s(fun(fun(X4,bool),num),card),s(fun(X4,bool),X1))),s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2))))
| ~ sQ2409_eqProxy(s(X3,sK1213(X0,X1,X2,X3,X4)),s(X3,i(s(fun(X4,X3),X0),s(X4,X6)))) ),
inference(equality_proxy_replacement,[],[f8726,f10758,f10758,f10758]) ).
fof(f8726,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,i(s(fun(X4,X3),X0),s(X4,sK1212(X0,X1,X2,X3,X4)))))),s(fun(X3,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),finite),s(fun(X4,bool),X1))))
| s(num,i(s(fun(fun(X4,bool),num),card),s(fun(X4,bool),X1))) = s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X2)))
| ~ p(s(bool,i(s(fun(fun(X4,bool),bool),i(s(fun(X4,fun(fun(X4,bool),bool)),in),s(X4,X6))),s(fun(X4,bool),X1))))
| s(X3,sK1213(X0,X1,X2,X3,X4)) != s(X3,i(s(fun(X4,X3),X0),s(X4,X6)))
| s(X4,sK1214(X0,X1,X2,X3,X4)) != s(X4,sK1215(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f5541]) ).
fof(f13992,plain,
( spl2410_23
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13596,f13303,f13989]) ).
fof(f13989,plain,
( spl2410_23
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK1059(i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_23])]) ).
fof(f13596,plain,
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),sK1059(i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f8439]) ).
fof(f8439,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(X2,bool),X1),s(X2,X0))))
| p(s(bool,i(s(fun(X2,bool),X1),s(X2,sK1059(X0,X1,X2))))) ),
inference(cnf_transformation,[],[f3989]) ).
fof(f13987,plain,
( ~ spl2410_4
| spl2410_22
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13514,f13303,f13985,f13905]) ).
fof(f13985,plain,
( spl2410_22
<=> ! [X423,X422,X421,X424] :
( sQ2409_eqProxy(s(cart(real,sK2122),sK2123),s(cart(real,sK2122),X424))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X422,bool),num),card),s(fun(X422,bool),X421))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),X424))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(X422,bool),bool),finite),s(fun(X422,bool),X421))))
| ~ sP2266(sK2265(X421,X422,X423,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122)),cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X423,X422,X421)
| ~ p(s(bool,i(s(fun(fun(X422,bool),bool),i(s(fun(fun(X422,bool),fun(fun(X422,bool),bool)),subset),s(fun(X422,bool),i(s(fun(fun(cart(real,sK2122),bool),fun(X422,bool)),i(s(fun(fun(cart(real,sK2122),X422),fun(fun(cart(real,sK2122),bool),fun(X422,bool))),image),s(fun(cart(real,sK2122),X422),X423))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))),s(fun(X422,bool),X421))))
| ~ sQ2409_eqProxy(s(X422,i(s(fun(cart(real,sK2122),X422),X423),s(cart(real,sK2122),sK2123))),s(X422,i(s(fun(cart(real,sK2122),X422),X423),s(cart(real,sK2122),X424)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_22])]) ).
fof(f13514,plain,
( ! [X424,X422,X423,X421] :
( sQ2409_eqProxy(s(cart(real,sK2122),sK2123),s(cart(real,sK2122),X424))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(X422,bool),bool),i(s(fun(fun(X422,bool),fun(fun(X422,bool),bool)),subset),s(fun(X422,bool),i(s(fun(fun(cart(real,sK2122),bool),fun(X422,bool)),i(s(fun(fun(cart(real,sK2122),X422),fun(fun(cart(real,sK2122),bool),fun(X422,bool))),image),s(fun(cart(real,sK2122),X422),X423))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))),s(fun(X422,bool),X421))))
| ~ sQ2409_eqProxy(s(X422,i(s(fun(cart(real,sK2122),X422),X423),s(cart(real,sK2122),sK2123))),s(X422,i(s(fun(cart(real,sK2122),X422),X423),s(cart(real,sK2122),X424))))
| ~ sP2266(sK2265(X421,X422,X423,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122)),cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X423,X422,X421)
| ~ p(s(bool,i(s(fun(fun(X422,bool),bool),finite),s(fun(X422,bool),X421))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),X424))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X422,bool),num),card),s(fun(X422,bool),X421)))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f13137]) ).
fof(f13983,plain,
( spl2410_21
| ~ spl2410_4
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13434,f13303,f13905,f13981]) ).
fof(f13981,plain,
( spl2410_21
<=> ! [X213,X212] :
( ~ p(s(bool,i(s(fun(fun(X212,bool),bool),finite),s(fun(X212,bool),X213))))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X212,bool),num),card),s(fun(X212,bool),X213))))
| p(s(bool,i(s(fun(fun(X212,bool),bool),i(s(fun(X212,fun(fun(X212,bool),bool)),in),s(X212,i(s(fun(cart(real,sK2122),X212),sK313(X213,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122),X212)),s(cart(real,sK2122),sK2123))))),s(fun(X212,bool),X213)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_21])]) ).
fof(f13434,plain,
( ! [X212,X213] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(X212,bool),bool),finite),s(fun(X212,bool),X213))))
| p(s(bool,i(s(fun(fun(X212,bool),bool),i(s(fun(X212,fun(fun(X212,bool),bool)),in),s(X212,i(s(fun(cart(real,sK2122),X212),sK313(X213,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122),X212)),s(cart(real,sK2122),sK2123))))),s(fun(X212,bool),X213))))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(num,i(s(fun(fun(X212,bool),num),card),s(fun(X212,bool),X213)))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f11152]) ).
fof(f11152,plain,
! [X2,X3,X0,X1,X7] :
( ~ p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X1))))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(X2,bool),num),card),s(fun(X2,bool),X1))),s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X0))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X7))),s(fun(X2,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X0))))
| p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,i(s(fun(X2,X3),sK313(X0,X1,X2,X3)),s(X2,X7))))),s(fun(X3,bool),X0)))) ),
inference(equality_proxy_replacement,[],[f7009,f10758]) ).
fof(f7009,plain,
! [X2,X3,X0,X1,X7] :
( ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X0))))
| s(num,i(s(fun(fun(X2,bool),num),card),s(fun(X2,bool),X1))) != s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X0)))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X1))))
| p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,i(s(fun(X2,X3),sK313(X0,X1,X2,X3)),s(X2,X7))))),s(fun(X3,bool),X0))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X7))),s(fun(X2,bool),X1)))) ),
inference(cnf_transformation,[],[f5264]) ).
fof(f13979,plain,
( spl2410_19
| spl2410_20
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13527,f13303,f13976,f13973]) ).
fof(f13973,plain,
( spl2410_19
<=> ! [X454] :
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),X454))))
| ~ p(s(bool,i(s(fun(fun(fun(cart(real,sK2122),bool),bool),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(fun(cart(real,sK2122),bool),bool),bool)),in),s(fun(cart(real,sK2122),bool),X454))),s(fun(fun(cart(real,sK2122),bool),bool),sK1638(cart(real,sK2122),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_19])]) ).
fof(f13527,plain,
( ! [X454] :
( sP1640(sK1639(cart(real,sK2122),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),cart(real,sK2122))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),X454))))
| ~ p(s(bool,i(s(fun(fun(fun(cart(real,sK2122),bool),bool),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(fun(cart(real,sK2122),bool),bool),bool)),in),s(fun(cart(real,sK2122),bool),X454))),s(fun(fun(cart(real,sK2122),bool),bool),sK1638(cart(real,sK2122),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f9434]) ).
fof(f9434,plain,
! [X0,X1,X6,X7] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),X7))))
| p(s(bool,i(s(fun(fun(X0,bool),bool),X1),s(fun(X0,bool),X6))))
| sP1640(sK1639(X0,X1),X1,X0)
| ~ p(s(bool,i(s(fun(fun(fun(X0,bool),bool),bool),i(s(fun(fun(X0,bool),fun(fun(fun(X0,bool),bool),bool)),in),s(fun(X0,bool),X6))),s(fun(fun(X0,bool),bool),sK1638(X0,X1))))) ),
inference(cnf_transformation,[],[f5252]) ).
fof(f13970,plain,
( ~ spl2410_18
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13463,f13303,f13967]) ).
fof(f13967,plain,
( spl2410_18
<=> sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))),s(fun(cart(real,sK2122),bool),empty)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_18])]) ).
fof(f13463,plain,
( ~ sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))),s(fun(cart(real,sK2122),bool),empty))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f11926]) ).
fof(f11926,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X2))),s(fun(X1,bool),X0))))
| ~ sQ2409_eqProxy(s(fun(X1,bool),X0),s(fun(X1,bool),empty)) ),
inference(equality_proxy_replacement,[],[f8442,f10758]) ).
fof(f8442,plain,
! [X2,X0,X1] :
( s(fun(X1,bool),X0) != s(fun(X1,bool),empty)
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X2))),s(fun(X1,bool),X0)))) ),
inference(cnf_transformation,[],[f4540]) ).
fof(f4540,plain,
! [X1,X0] :
( ? [X2] : p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X2))),s(fun(X1,bool),X0))))
<=> s(fun(X1,bool),X0) != s(fun(X1,bool),empty) ),
inference(rectify,[],[f1700]) ).
fof(f1700,axiom,
! [X96,X3] :
( ? [X0] : p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96))))
<=> s(fun(X3,bool),X96) != s(fun(X3,bool),empty) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aMEMBERu_NOTu_EMPTY) ).
fof(f13965,plain,
( ~ spl2410_4
| spl2410_17
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13508,f13303,f13963,f13905]) ).
fof(f13963,plain,
( spl2410_17
<=> ! [X407,X406,X403,X405,X404] :
( ~ sQ2409_eqProxy(s(X403,sK2178(X404,cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X405,X406,X407,X403)),s(X403,i(s(fun(cart(real,sK2122),X403),X406),s(cart(real,sK2122),sK2123))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(X403,real),real),i(s(fun(fun(X403,bool),fun(fun(X403,real),real)),sum),s(fun(X403,bool),X404))),s(fun(X403,real),X405))))),s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),X407))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK2122),real),X407),s(cart(real,sK2122),sK2177(cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X407)))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X403,real),X405),s(X403,sK2178(X404,cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X405,X406,X407,X403)))))),s(real,i(s(fun(cart(real,sK2122),real),X407),s(cart(real,sK2122),sK2123))))))
| ~ p(s(bool,i(s(fun(fun(X403,bool),bool),finite),s(fun(X403,bool),X404)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_17])]) ).
fof(f13508,plain,
( ! [X405,X404,X403,X407,X406] :
( ~ sQ2409_eqProxy(s(X403,sK2178(X404,cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X405,X406,X407,X403)),s(X403,i(s(fun(cart(real,sK2122),X403),X406),s(cart(real,sK2122),sK2123))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(X403,bool),bool),finite),s(fun(X403,bool),X404))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X403,real),X405),s(X403,sK2178(X404,cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X405,X406,X407,X403)))))),s(real,i(s(fun(cart(real,sK2122),real),X407),s(cart(real,sK2122),sK2123))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK2122),real),X407),s(cart(real,sK2122),sK2177(cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X407)))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(X403,real),real),i(s(fun(fun(X403,bool),fun(fun(X403,real),real)),sum),s(fun(X403,bool),X404))),s(fun(X403,real),X405))))),s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),X407)))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f13046]) ).
fof(f13046,plain,
! [X2,X3,X0,X1,X8,X6,X4,X5] :
( ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X6,bool),bool),finite),s(fun(X6,bool),X0))))
| ~ sQ2409_eqProxy(s(X6,sK2178(X0,X1,X2,X3,X4,X5,X6)),s(X6,i(s(fun(X1,X6),X4),s(X1,X8))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(X6,real),real),i(s(fun(fun(X6,bool),fun(fun(X6,real),real)),sum),s(fun(X6,bool),X0))),s(fun(X6,real),X3))))),s(real,i(s(fun(fun(X1,real),real),i(s(fun(fun(X1,bool),fun(fun(X1,real),real)),sum),s(fun(X1,bool),X2))),s(fun(X1,real),X5))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X6,real),X3),s(X6,sK2178(X0,X1,X2,X3,X4,X5,X6)))))),s(real,i(s(fun(X1,real),X5),s(X1,X8))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(X1,real),X5),s(X1,sK2177(X1,X2,X5)))))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X8))),s(fun(X1,bool),X2)))) ),
inference(equality_proxy_replacement,[],[f10342,f10758]) ).
fof(f10342,plain,
! [X2,X3,X0,X1,X8,X6,X4,X5] :
( ~ p(s(bool,i(s(fun(fun(X6,bool),bool),finite),s(fun(X6,bool),X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(X1,real),X5),s(X1,sK2177(X1,X2,X5)))))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X8))),s(fun(X1,bool),X2))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X6,real),X3),s(X6,sK2178(X0,X1,X2,X3,X4,X5,X6)))))),s(real,i(s(fun(X1,real),X5),s(X1,X8))))))
| s(X6,sK2178(X0,X1,X2,X3,X4,X5,X6)) != s(X6,i(s(fun(X1,X6),X4),s(X1,X8)))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X2))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(X6,real),real),i(s(fun(fun(X6,bool),fun(fun(X6,real),real)),sum),s(fun(X6,bool),X0))),s(fun(X6,real),X3))))),s(real,i(s(fun(fun(X1,real),real),i(s(fun(fun(X1,bool),fun(fun(X1,real),real)),sum),s(fun(X1,bool),X2))),s(fun(X1,real),X5)))))) ),
inference(cnf_transformation,[],[f5721]) ).
fof(f5721,plain,
! [X0,X3,X4,X6,X2,X1,X5] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(X6,real),real),i(s(fun(fun(X6,bool),fun(fun(X6,real),real)),sum),s(fun(X6,bool),X0))),s(fun(X6,real),X3))))),s(real,i(s(fun(fun(X1,real),real),i(s(fun(fun(X1,bool),fun(fun(X1,real),real)),sum),s(fun(X1,bool),X2))),s(fun(X1,real),X5))))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X2))))
| ? [X7] :
( ! [X8] :
( s(X6,X7) != s(X6,i(s(fun(X1,X6),X4),s(X1,X8)))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X6,real),X3),s(X6,X7))))),s(real,i(s(fun(X1,real),X5),s(X1,X8))))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X8))),s(fun(X1,bool),X2)))) )
& p(s(bool,i(s(fun(fun(X6,bool),bool),i(s(fun(X6,fun(fun(X6,bool),bool)),in),s(X6,X7))),s(fun(X6,bool),X0)))) )
| ? [X9] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(X1,real),X5),s(X1,X9))))))
& p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X9))),s(fun(X1,bool),X2)))) )
| ~ p(s(bool,i(s(fun(fun(X6,bool),bool),finite),s(fun(X6,bool),X0)))) ),
inference(flattening,[],[f5720]) ).
fof(f5720,plain,
! [X6,X3,X1,X0,X5,X4,X2] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(X6,real),real),i(s(fun(fun(X6,bool),fun(fun(X6,real),real)),sum),s(fun(X6,bool),X0))),s(fun(X6,real),X3))))),s(real,i(s(fun(fun(X1,real),real),i(s(fun(fun(X1,bool),fun(fun(X1,real),real)),sum),s(fun(X1,bool),X2))),s(fun(X1,real),X5))))))
| ? [X9] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(X1,real),X5),s(X1,X9))))))
& p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X9))),s(fun(X1,bool),X2)))) )
| ? [X7] :
( ! [X8] :
( s(X6,X7) != s(X6,i(s(fun(X1,X6),X4),s(X1,X8)))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X6,real),X3),s(X6,X7))))),s(real,i(s(fun(X1,real),X5),s(X1,X8))))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X8))),s(fun(X1,bool),X2)))) )
& p(s(bool,i(s(fun(fun(X6,bool),bool),i(s(fun(X6,fun(fun(X6,bool),bool)),in),s(X6,X7))),s(fun(X6,bool),X0)))) )
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X6,bool),bool),finite),s(fun(X6,bool),X0)))) ),
inference(ennf_transformation,[],[f4288]) ).
fof(f4288,plain,
! [X6,X3,X1,X0,X5,X4,X2] :
( ( ! [X9] :
( p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X9))),s(fun(X1,bool),X2))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(X1,real),X5),s(X1,X9)))))) )
& ! [X7] :
( p(s(bool,i(s(fun(fun(X6,bool),bool),i(s(fun(X6,fun(fun(X6,bool),bool)),in),s(X6,X7))),s(fun(X6,bool),X0))))
=> ? [X8] :
( p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X8))),s(fun(X1,bool),X2))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X6,real),X3),s(X6,X7))))),s(real,i(s(fun(X1,real),X5),s(X1,X8))))))
& s(X6,X7) = s(X6,i(s(fun(X1,X6),X4),s(X1,X8))) ) )
& p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X2))))
& p(s(bool,i(s(fun(fun(X6,bool),bool),finite),s(fun(X6,bool),X0)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(X6,real),real),i(s(fun(fun(X6,bool),fun(fun(X6,real),real)),sum),s(fun(X6,bool),X0))),s(fun(X6,real),X3))))),s(real,i(s(fun(fun(X1,real),real),i(s(fun(fun(X1,bool),fun(fun(X1,real),real)),sum),s(fun(X1,bool),X2))),s(fun(X1,real),X5)))))) ),
inference(rectify,[],[f2323]) ).
fof(f2323,axiom,
! [X96,X9,X14,X10,X81,X17,X3] :
( ( ! [X0] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96))))
=> ? [X7] :
( s(X3,X0) = s(X3,i(s(fun(X9,X3),X81),s(X9,X7)))
& p(s(bool,i(s(fun(fun(X9,bool),bool),i(s(fun(X9,fun(fun(X9,bool),bool)),in),s(X9,X7))),s(fun(X9,bool),X14))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X3,real),X10),s(X3,X0))))),s(real,i(s(fun(X9,real),X17),s(X9,X7)))))) ) )
& ! [X7] :
( p(s(bool,i(s(fun(fun(X9,bool),bool),i(s(fun(X9,fun(fun(X9,bool),bool)),in),s(X9,X7))),s(fun(X9,bool),X14))))
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(X9,real),X17),s(X9,X7)))))) )
& p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X96))))
& p(s(bool,i(s(fun(fun(X9,bool),bool),finite),s(fun(X9,bool),X14)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(X3,real),real),i(s(fun(fun(X3,bool),fun(fun(X3,real),real)),sum),s(fun(X3,bool),X96))),s(fun(X3,real),X10))))),s(real,i(s(fun(fun(X9,real),real),i(s(fun(fun(X9,bool),fun(fun(X9,real),real)),sum),s(fun(X9,bool),X14))),s(fun(X9,real),X17)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSUMu_LEu_INCLUDED) ).
fof(f13961,plain,
( spl2410_15
| ~ spl2410_16
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13537,f13303,f13958,f13954]) ).
fof(f13958,plain,
( spl2410_16
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(fun(cart(real,sK2122),bool),bool),fun(cart(real,sK2122),bool)),inters),s(fun(fun(cart(real,sK2122),bool),bool),sK1322(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),cart(real,sK2122)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_16])]) ).
fof(f13537,plain,
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(fun(cart(real,sK2122),bool),bool),fun(cart(real,sK2122),bool)),inters),s(fun(fun(cart(real,sK2122),bool),bool),sK1322(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),cart(real,sK2122))))))))
| sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),i(s(fun(fun(fun(cart(real,sK2122),bool),bool),fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool))),hull),s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12191]) ).
fof(f12191,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(X2,bool),bool),X0),s(fun(X2,bool),i(s(fun(fun(fun(X2,bool),bool),fun(X2,bool)),inters),s(fun(fun(X2,bool),bool),sK1322(X0,X2)))))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),X0),s(fun(X2,bool),X1))))
| sQ2409_eqProxy(s(fun(X2,bool),X1),s(fun(X2,bool),i(s(fun(fun(X2,bool),fun(X2,bool)),i(s(fun(fun(fun(X2,bool),bool),fun(fun(X2,bool),fun(X2,bool))),hull),s(fun(fun(X2,bool),bool),X0))),s(fun(X2,bool),X1)))) ),
inference(equality_proxy_replacement,[],[f8928,f10758]) ).
fof(f8928,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(X2,bool),bool),X0),s(fun(X2,bool),i(s(fun(fun(fun(X2,bool),bool),fun(X2,bool)),inters),s(fun(fun(X2,bool),bool),sK1322(X0,X2)))))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),X0),s(fun(X2,bool),X1))))
| s(fun(X2,bool),X1) = s(fun(X2,bool),i(s(fun(fun(X2,bool),fun(X2,bool)),i(s(fun(fun(fun(X2,bool),bool),fun(fun(X2,bool),fun(X2,bool))),hull),s(fun(fun(X2,bool),bool),X0))),s(fun(X2,bool),X1))) ),
inference(cnf_transformation,[],[f5788]) ).
fof(f13952,plain,
( ~ spl2410_4
| spl2410_14
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13414,f13303,f13950,f13905]) ).
fof(f13950,plain,
( spl2410_14
<=> ! [X174,X175] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),X174))))),s(real,X175))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK2122),real),X174),s(cart(real,sK2122),sK2123))))),s(real,X175))))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2262(i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122),X174)))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_14])]) ).
fof(f13414,plain,
( ! [X174,X175] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),X174))))),s(real,X175))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2262(i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),cart(real,sK2122),X174)))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK2122),real),X174),s(cart(real,sK2122),sK2123))))),s(real,X175)))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f10514]) ).
fof(f10514,plain,
! [X2,X3,X0,X1,X5] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(X2,real),real),i(s(fun(fun(X2,bool),fun(fun(X2,real),real)),sum),s(fun(X2,bool),X1))),s(fun(X2,real),X3))))),s(real,X0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X2,real),X3),s(X2,X5))))),s(real,X0))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X5))),s(fun(X2,bool),X1))))
| p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,sK2262(X1,X2,X3)))),s(fun(X2,bool),X1)))) ),
inference(cnf_transformation,[],[f5564]) ).
fof(f13947,plain,
( ~ spl2410_4
| spl2410_13
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13509,f13303,f13945,f13905]) ).
fof(f13945,plain,
( spl2410_13
<=> ! [X410,X411,X412,X409,X408] :
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2177(cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X408)))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ sQ2409_eqProxy(s(X409,sK2178(X410,cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X411,X412,X408,X409)),s(X409,i(s(fun(cart(real,sK2122),X409),X412),s(cart(real,sK2122),sK2123))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(X409,real),real),i(s(fun(fun(X409,bool),fun(fun(X409,real),real)),sum),s(fun(X409,bool),X410))),s(fun(X409,real),X411))))),s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),X408))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X409,real),X411),s(X409,sK2178(X410,cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X411,X412,X408,X409)))))),s(real,i(s(fun(cart(real,sK2122),real),X408),s(cart(real,sK2122),sK2123))))))
| ~ p(s(bool,i(s(fun(fun(X409,bool),bool),finite),s(fun(X409,bool),X410)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_13])]) ).
fof(f13509,plain,
( ! [X412,X411,X410,X409,X408] :
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2177(cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X408)))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(X409,bool),bool),finite),s(fun(X409,bool),X410))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X409,real),X411),s(X409,sK2178(X410,cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X411,X412,X408,X409)))))),s(real,i(s(fun(cart(real,sK2122),real),X408),s(cart(real,sK2122),sK2123))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(X409,real),real),i(s(fun(fun(X409,bool),fun(fun(X409,real),real)),sum),s(fun(X409,bool),X410))),s(fun(X409,real),X411))))),s(real,i(s(fun(fun(cart(real,sK2122),real),real),i(s(fun(fun(cart(real,sK2122),bool),fun(fun(cart(real,sK2122),real),real)),sum),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(fun(cart(real,sK2122),real),X408))))))
| ~ sQ2409_eqProxy(s(X409,sK2178(X410,cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X411,X412,X408,X409)),s(X409,i(s(fun(cart(real,sK2122),X409),X412),s(cart(real,sK2122),sK2123)))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f13047]) ).
fof(f13047,plain,
! [X2,X3,X0,X1,X8,X6,X4,X5] :
( p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,sK2177(X1,X2,X5)))),s(fun(X1,bool),X2))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(X6,real),real),i(s(fun(fun(X6,bool),fun(fun(X6,real),real)),sum),s(fun(X6,bool),X0))),s(fun(X6,real),X3))))),s(real,i(s(fun(fun(X1,real),real),i(s(fun(fun(X1,bool),fun(fun(X1,real),real)),sum),s(fun(X1,bool),X2))),s(fun(X1,real),X5))))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X8))),s(fun(X1,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X2))))
| ~ sQ2409_eqProxy(s(X6,sK2178(X0,X1,X2,X3,X4,X5,X6)),s(X6,i(s(fun(X1,X6),X4),s(X1,X8))))
| ~ p(s(bool,i(s(fun(fun(X6,bool),bool),finite),s(fun(X6,bool),X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X6,real),X3),s(X6,sK2178(X0,X1,X2,X3,X4,X5,X6)))))),s(real,i(s(fun(X1,real),X5),s(X1,X8)))))) ),
inference(equality_proxy_replacement,[],[f10341,f10758]) ).
fof(f10341,plain,
! [X2,X3,X0,X1,X8,X6,X4,X5] :
( ~ p(s(bool,i(s(fun(fun(X6,bool),bool),finite),s(fun(X6,bool),X0))))
| p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,sK2177(X1,X2,X5)))),s(fun(X1,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X8))),s(fun(X1,bool),X2))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(X6,real),X3),s(X6,sK2178(X0,X1,X2,X3,X4,X5,X6)))))),s(real,i(s(fun(X1,real),X5),s(X1,X8))))))
| s(X6,sK2178(X0,X1,X2,X3,X4,X5,X6)) != s(X6,i(s(fun(X1,X6),X4),s(X1,X8)))
| ~ p(s(bool,i(s(fun(fun(X1,bool),bool),finite),s(fun(X1,bool),X2))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(X6,real),real),i(s(fun(fun(X6,bool),fun(fun(X6,real),real)),sum),s(fun(X6,bool),X0))),s(fun(X6,real),X3))))),s(real,i(s(fun(fun(X1,real),real),i(s(fun(fun(X1,bool),fun(fun(X1,real),real)),sum),s(fun(X1,bool),X2))),s(fun(X1,real),X5)))))) ),
inference(cnf_transformation,[],[f5721]) ).
fof(f13943,plain,
( spl2410_12
| ~ spl2410_4
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13482,f13303,f13905,f13941]) ).
fof(f13941,plain,
( spl2410_12
<=> ! [X331,X330,X332] :
( sQ2409_eqProxy(s(X330,i(s(fun(X330,X330),i(s(fun(cart(real,sK2122),fun(X330,X330)),X331),s(cart(real,sK2122),sK2123))),s(X330,i(s(fun(fun(cart(real,sK2122),bool),X330),sK1247(X331,X332,X330,cart(real,sK2122))),s(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),bool)),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),fun(cart(real,sK2122),bool))),delete),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(cart(real,sK2122),sK2123))))))),s(X330,i(s(fun(fun(cart(real,sK2122),bool),X330),sK1247(X331,X332,X330,cart(real,sK2122))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ sQ2409_eqProxy(s(X330,i(s(fun(X330,X330),i(s(fun(cart(real,sK2122),fun(X330,X330)),X331),s(cart(real,sK2122),sK1245(X331,X330,cart(real,sK2122))))),s(X330,i(s(fun(X330,X330),i(s(fun(cart(real,sK2122),fun(X330,X330)),X331),s(cart(real,sK2122),sK1244(X331,X330,cart(real,sK2122))))),s(X330,sK1246(X331,X330,cart(real,sK2122))))))),s(X330,i(s(fun(X330,X330),i(s(fun(cart(real,sK2122),fun(X330,X330)),X331),s(cart(real,sK2122),sK1244(X331,X330,cart(real,sK2122))))),s(X330,i(s(fun(X330,X330),i(s(fun(cart(real,sK2122),fun(X330,X330)),X331),s(cart(real,sK2122),sK1245(X331,X330,cart(real,sK2122))))),s(X330,sK1246(X331,X330,cart(real,sK2122)))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_12])]) ).
fof(f13482,plain,
( ! [X332,X331,X330] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| sQ2409_eqProxy(s(X330,i(s(fun(X330,X330),i(s(fun(cart(real,sK2122),fun(X330,X330)),X331),s(cart(real,sK2122),sK2123))),s(X330,i(s(fun(fun(cart(real,sK2122),bool),X330),sK1247(X331,X332,X330,cart(real,sK2122))),s(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),bool)),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),fun(cart(real,sK2122),bool))),delete),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(cart(real,sK2122),sK2123))))))),s(X330,i(s(fun(fun(cart(real,sK2122),bool),X330),sK1247(X331,X332,X330,cart(real,sK2122))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ sQ2409_eqProxy(s(X330,i(s(fun(X330,X330),i(s(fun(cart(real,sK2122),fun(X330,X330)),X331),s(cart(real,sK2122),sK1245(X331,X330,cart(real,sK2122))))),s(X330,i(s(fun(X330,X330),i(s(fun(cart(real,sK2122),fun(X330,X330)),X331),s(cart(real,sK2122),sK1244(X331,X330,cart(real,sK2122))))),s(X330,sK1246(X331,X330,cart(real,sK2122))))))),s(X330,i(s(fun(X330,X330),i(s(fun(cart(real,sK2122),fun(X330,X330)),X331),s(cart(real,sK2122),sK1244(X331,X330,cart(real,sK2122))))),s(X330,i(s(fun(X330,X330),i(s(fun(cart(real,sK2122),fun(X330,X330)),X331),s(cart(real,sK2122),sK1245(X331,X330,cart(real,sK2122))))),s(X330,sK1246(X331,X330,cart(real,sK2122)))))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12121]) ).
fof(f12121,plain,
! [X2,X3,X0,X1,X8,X9] :
( ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X9))),s(fun(X3,bool),X8))))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X8))))
| ~ sQ2409_eqProxy(s(X2,i(s(fun(X2,X2),i(s(fun(X3,fun(X2,X2)),X0),s(X3,sK1245(X0,X2,X3)))),s(X2,i(s(fun(X2,X2),i(s(fun(X3,fun(X2,X2)),X0),s(X3,sK1244(X0,X2,X3)))),s(X2,sK1246(X0,X2,X3)))))),s(X2,i(s(fun(X2,X2),i(s(fun(X3,fun(X2,X2)),X0),s(X3,sK1244(X0,X2,X3)))),s(X2,i(s(fun(X2,X2),i(s(fun(X3,fun(X2,X2)),X0),s(X3,sK1245(X0,X2,X3)))),s(X2,sK1246(X0,X2,X3)))))))
| sQ2409_eqProxy(s(X2,i(s(fun(X2,X2),i(s(fun(X3,fun(X2,X2)),X0),s(X3,X9))),s(X2,i(s(fun(fun(X3,bool),X2),sK1247(X0,X1,X2,X3)),s(fun(X3,bool),i(s(fun(X3,fun(X3,bool)),i(s(fun(fun(X3,bool),fun(X3,fun(X3,bool))),delete),s(fun(X3,bool),X8))),s(X3,X9))))))),s(X2,i(s(fun(fun(X3,bool),X2),sK1247(X0,X1,X2,X3)),s(fun(X3,bool),X8)))) ),
inference(equality_proxy_replacement,[],[f8789,f10758,f10758]) ).
fof(f8789,plain,
! [X2,X3,X0,X1,X8,X9] :
( s(X2,i(s(fun(X2,X2),i(s(fun(X3,fun(X2,X2)),X0),s(X3,sK1245(X0,X2,X3)))),s(X2,i(s(fun(X2,X2),i(s(fun(X3,fun(X2,X2)),X0),s(X3,sK1244(X0,X2,X3)))),s(X2,sK1246(X0,X2,X3)))))) != s(X2,i(s(fun(X2,X2),i(s(fun(X3,fun(X2,X2)),X0),s(X3,sK1244(X0,X2,X3)))),s(X2,i(s(fun(X2,X2),i(s(fun(X3,fun(X2,X2)),X0),s(X3,sK1245(X0,X2,X3)))),s(X2,sK1246(X0,X2,X3))))))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X9))),s(fun(X3,bool),X8))))
| s(X2,i(s(fun(X2,X2),i(s(fun(X3,fun(X2,X2)),X0),s(X3,X9))),s(X2,i(s(fun(fun(X3,bool),X2),sK1247(X0,X1,X2,X3)),s(fun(X3,bool),i(s(fun(X3,fun(X3,bool)),i(s(fun(fun(X3,bool),fun(X3,fun(X3,bool))),delete),s(fun(X3,bool),X8))),s(X3,X9))))))) = s(X2,i(s(fun(fun(X3,bool),X2),sK1247(X0,X1,X2,X3)),s(fun(X3,bool),X8)))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X8)))) ),
inference(cnf_transformation,[],[f5365]) ).
fof(f13939,plain,
( ~ spl2410_4
| spl2410_11
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13487,f13303,f13937,f13905]) ).
fof(f13937,plain,
( spl2410_11
<=> ! [X346,X345] :
( ~ sQ2409_eqProxy(s(num,i(s(fun(fun(X345,bool),num),card),s(fun(X345,bool),X346))),s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(X345,bool),bool),finite),s(fun(X345,bool),X346))))
| p(s(bool,i(s(fun(fun(X345,bool),bool),i(s(fun(X345,fun(fun(X345,bool),bool)),in),s(X345,i(s(fun(cart(real,sK2122),X345),sK1299(cart(real,sK2122),X346,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X345)),s(cart(real,sK2122),sK2123))))),s(fun(X345,bool),X346)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_11])]) ).
fof(f13487,plain,
( ! [X345,X346] :
( ~ sQ2409_eqProxy(s(num,i(s(fun(fun(X345,bool),num),card),s(fun(X345,bool),X346))),s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| p(s(bool,i(s(fun(fun(X345,bool),bool),i(s(fun(X345,fun(fun(X345,bool),bool)),in),s(X345,i(s(fun(cart(real,sK2122),X345),sK1299(cart(real,sK2122),X346,i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X345)),s(cart(real,sK2122),sK2123))))),s(fun(X345,bool),X346))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(X345,bool),bool),finite),s(fun(X345,bool),X346)))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12151]) ).
fof(f12151,plain,
! [X2,X3,X0,X1,X9] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X9))),s(fun(X0,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X2))))
| p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,i(s(fun(X0,X3),sK1299(X0,X1,X2,X3)),s(X0,X9))))),s(fun(X3,bool),X1))))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X1))),s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X1)))) ),
inference(equality_proxy_replacement,[],[f8874,f10758]) ).
fof(f8874,plain,
! [X2,X3,X0,X1,X9] :
( ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X1))))
| s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X1))) != s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X2)))
| p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,i(s(fun(X0,X3),sK1299(X0,X1,X2,X3)),s(X0,X9))))),s(fun(X3,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X9))),s(fun(X0,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X2)))) ),
inference(cnf_transformation,[],[f6221]) ).
fof(f13935,plain,
( spl2410_9
| ~ spl2410_10
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13558,f13303,f13932,f13929]) ).
fof(f13558,plain,
( ! [X479] :
( ~ sP983(sK2123,fun(cart(real,sK2122),bool),cart(real,sK2122),in)
| sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))),s(fun(cart(real,sK2122),bool),X479))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),X479)))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f11846]) ).
fof(f13927,plain,
( ~ spl2410_4
| spl2410_8
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13506,f13303,f13925,f13905]) ).
fof(f13925,plain,
( spl2410_8
<=> ! [X397,X398,X399] :
( sQ2409_eqProxy(s(cart(real,sK2122),X399),s(cart(real,sK2122),sK2123))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),X399))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(X397,bool),bool),finite),s(fun(X397,bool),X398))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))),s(num,i(s(fun(fun(X397,bool),num),card),s(fun(X397,bool),X398))))))
| ~ sQ2409_eqProxy(s(X397,i(s(fun(cart(real,sK2122),X397),sK2100(cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X398,X397)),s(cart(real,sK2122),X399))),s(X397,i(s(fun(cart(real,sK2122),X397),sK2100(cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X398,X397)),s(cart(real,sK2122),sK2123)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_8])]) ).
fof(f13506,plain,
( ! [X399,X398,X397] :
( sQ2409_eqProxy(s(cart(real,sK2122),X399),s(cart(real,sK2122),sK2123))
| ~ sQ2409_eqProxy(s(X397,i(s(fun(cart(real,sK2122),X397),sK2100(cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X398,X397)),s(cart(real,sK2122),X399))),s(X397,i(s(fun(cart(real,sK2122),X397),sK2100(cart(real,sK2122),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X398,X397)),s(cart(real,sK2122),sK2123))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))),s(num,i(s(fun(fun(X397,bool),num),card),s(fun(X397,bool),X398))))))
| ~ p(s(bool,i(s(fun(fun(X397,bool),bool),finite),s(fun(X397,bool),X398))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),X399))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12955]) ).
fof(f13923,plain,
( ~ spl2410_6
| spl2410_7
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13659,f13303,f13920,f13916]) ).
fof(f13916,plain,
( spl2410_6
<=> sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),sK1231(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))),s(fun(cart(real,sK2122),bool),sK1230(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_6])]) ).
fof(f13659,plain,
( sP1226(i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)),fun(cart(real,sK2122),bool))
| ~ sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),sK1231(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))),s(fun(cart(real,sK2122),bool),sK1230(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123)))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12109]) ).
fof(f12109,plain,
! [X2,X0,X1] :
( sP1226(X1,X0)
| ~ sQ2409_eqProxy(s(X0,sK1231(X0,X1)),s(X0,sK1230(X0,X1)))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2)))) ),
inference(equality_proxy_replacement,[],[f8769,f10758]) ).
fof(f8769,plain,
! [X2,X0,X1] :
( s(X0,sK1231(X0,X1)) != s(X0,sK1230(X0,X1))
| ~ p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))
| sP1226(X1,X0) ),
inference(cnf_transformation,[],[f5590]) ).
fof(f13914,plain,
( spl2410_1
| ~ spl2410_2 ),
inference(avatar_contradiction_clause,[],[f13913]) ).
fof(f13913,plain,
( $false
| spl2410_1
| ~ spl2410_2 ),
inference(subsumption_resolution,[],[f13912,f10290]) ).
fof(f10290,plain,
! [X0,X1] : p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1)))))),
inference(cnf_transformation,[],[f3664]) ).
fof(f3664,plain,
! [X0,X1] : p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1)))))),
inference(rectify,[],[f3315]) ).
fof(f3315,axiom,
! [X1382,X96] : p(s(bool,i(s(fun(fun(cart(real,X1382),bool),bool),subspace),s(fun(cart(real,X1382),bool),i(s(fun(fun(cart(real,X1382),bool),fun(cart(real,X1382),bool)),span),s(fun(cart(real,X1382),bool),X96)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSUBSPACEu_SPAN) ).
fof(f13912,plain,
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),subspace),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| spl2410_1
| ~ spl2410_2 ),
inference(subsumption_resolution,[],[f13322,f13300]) ).
fof(f13300,plain,
( ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),i(s(fun(cart(real,sK2122),cart(real,sK2122)),vectoru_neg),s(cart(real,sK2122),sK2123))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| spl2410_1 ),
inference(avatar_component_clause,[],[f13298]) ).
fof(f13298,plain,
( spl2410_1
<=> p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),i(s(fun(cart(real,sK2122),cart(real,sK2122)),vectoru_neg),s(cart(real,sK2122),sK2123))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_1])]) ).
fof(f13322,plain,
( p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),i(s(fun(cart(real,sK2122),cart(real,sK2122)),vectoru_neg),s(cart(real,sK2122),sK2123))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),subspace),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f7588]) ).
fof(f7588,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X2),bool),bool),subspace),s(fun(cart(real,X2),bool),X1))))
| p(s(bool,i(s(fun(fun(cart(real,X2),bool),bool),i(s(fun(cart(real,X2),fun(fun(cart(real,X2),bool),bool)),in),s(cart(real,X2),i(s(fun(cart(real,X2),cart(real,X2)),vectoru_neg),s(cart(real,X2),X0))))),s(fun(cart(real,X2),bool),X1))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X2),bool),bool),i(s(fun(cart(real,X2),fun(fun(cart(real,X2),bool),bool)),in),s(cart(real,X2),X0))),s(fun(cart(real,X2),bool),X1)))) ),
inference(cnf_transformation,[],[f5319]) ).
fof(f5319,plain,
! [X0,X2,X1] :
( p(s(bool,i(s(fun(fun(cart(real,X2),bool),bool),i(s(fun(cart(real,X2),fun(fun(cart(real,X2),bool),bool)),in),s(cart(real,X2),i(s(fun(cart(real,X2),cart(real,X2)),vectoru_neg),s(cart(real,X2),X0))))),s(fun(cart(real,X2),bool),X1))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X2),bool),bool),i(s(fun(cart(real,X2),fun(fun(cart(real,X2),bool),bool)),in),s(cart(real,X2),X0))),s(fun(cart(real,X2),bool),X1))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X2),bool),bool),subspace),s(fun(cart(real,X2),bool),X1)))) ),
inference(flattening,[],[f5318]) ).
fof(f5318,plain,
! [X2,X1,X0] :
( p(s(bool,i(s(fun(fun(cart(real,X2),bool),bool),i(s(fun(cart(real,X2),fun(fun(cart(real,X2),bool),bool)),in),s(cart(real,X2),i(s(fun(cart(real,X2),cart(real,X2)),vectoru_neg),s(cart(real,X2),X0))))),s(fun(cart(real,X2),bool),X1))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X2),bool),bool),subspace),s(fun(cart(real,X2),bool),X1))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X2),bool),bool),i(s(fun(cart(real,X2),fun(fun(cart(real,X2),bool),bool)),in),s(cart(real,X2),X0))),s(fun(cart(real,X2),bool),X1)))) ),
inference(ennf_transformation,[],[f3711]) ).
fof(f3711,plain,
! [X2,X1,X0] :
( ( p(s(bool,i(s(fun(fun(cart(real,X2),bool),bool),subspace),s(fun(cart(real,X2),bool),X1))))
& p(s(bool,i(s(fun(fun(cart(real,X2),bool),bool),i(s(fun(cart(real,X2),fun(fun(cart(real,X2),bool),bool)),in),s(cart(real,X2),X0))),s(fun(cart(real,X2),bool),X1)))) )
=> p(s(bool,i(s(fun(fun(cart(real,X2),bool),bool),i(s(fun(cart(real,X2),fun(fun(cart(real,X2),bool),bool)),in),s(cart(real,X2),i(s(fun(cart(real,X2),cart(real,X2)),vectoru_neg),s(cart(real,X2),X0))))),s(fun(cart(real,X2),bool),X1)))) ),
inference(rectify,[],[f3303]) ).
fof(f3303,axiom,
! [X0,X96,X1368] :
( ( p(s(bool,i(s(fun(fun(cart(real,X1368),bool),bool),i(s(fun(cart(real,X1368),fun(fun(cart(real,X1368),bool),bool)),in),s(cart(real,X1368),X0))),s(fun(cart(real,X1368),bool),X96))))
& p(s(bool,i(s(fun(fun(cart(real,X1368),bool),bool),subspace),s(fun(cart(real,X1368),bool),X96)))) )
=> p(s(bool,i(s(fun(fun(cart(real,X1368),bool),bool),i(s(fun(cart(real,X1368),fun(fun(cart(real,X1368),bool),bool)),in),s(cart(real,X1368),i(s(fun(cart(real,X1368),cart(real,X1368)),vectoru_neg),s(cart(real,X1368),X0))))),s(fun(cart(real,X1368),bool),X96)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSUBSPACEu_NEG) ).
fof(f13911,plain,
( ~ spl2410_4
| spl2410_5
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13437,f13303,f13909,f13905]) ).
fof(f13909,plain,
( spl2410_5
<=> ! [X219,X218] :
( p(s(bool,i(s(fun(fun(X218,bool),bool),i(s(fun(X218,fun(fun(X218,bool),bool)),in),s(X218,i(s(fun(cart(real,sK2122),X218),sK312(i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X219,X218,cart(real,sK2122))),s(cart(real,sK2122),sK2123))))),s(fun(X218,bool),X219))))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(X218,bool),num),card),s(fun(X218,bool),X219))),s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(X218,bool),bool),finite),s(fun(X218,bool),X219)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_5])]) ).
fof(f13437,plain,
( ! [X218,X219] :
( p(s(bool,i(s(fun(fun(X218,bool),bool),i(s(fun(X218,fun(fun(X218,bool),bool)),in),s(X218,i(s(fun(cart(real,sK2122),X218),sK312(i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)),X219,X218,cart(real,sK2122))),s(cart(real,sK2122),sK2123))))),s(fun(X218,bool),X219))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),finite),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))))
| ~ p(s(bool,i(s(fun(fun(X218,bool),bool),finite),s(fun(X218,bool),X219))))
| ~ sQ2409_eqProxy(s(num,i(s(fun(fun(X218,bool),num),card),s(fun(X218,bool),X219))),s(num,i(s(fun(fun(cart(real,sK2122),bool),num),card),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))) )
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f11155]) ).
fof(f11155,plain,
! [X2,X3,X0,X1,X6] :
( ~ sQ2409_eqProxy(s(num,i(s(fun(fun(X2,bool),num),card),s(fun(X2,bool),X1))),s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X0))))
| p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,i(s(fun(X3,X2),sK312(X0,X1,X2,X3)),s(X3,X6))))),s(fun(X2,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X0))))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X6))),s(fun(X3,bool),X0)))) ),
inference(equality_proxy_replacement,[],[f7006,f10758]) ).
fof(f7006,plain,
! [X2,X3,X0,X1,X6] :
( ~ p(s(bool,i(s(fun(fun(X3,bool),bool),finite),s(fun(X3,bool),X0))))
| s(num,i(s(fun(fun(X2,bool),num),card),s(fun(X2,bool),X1))) != s(num,i(s(fun(fun(X3,bool),num),card),s(fun(X3,bool),X0)))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),finite),s(fun(X2,bool),X1))))
| ~ p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X6))),s(fun(X3,bool),X0))))
| p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,i(s(fun(X3,X2),sK312(X0,X1,X2,X3)),s(X3,X6))))),s(fun(X2,bool),X1)))) ),
inference(cnf_transformation,[],[f5264]) ).
fof(f13903,plain,
( spl2410_3
| ~ spl2410_2 ),
inference(avatar_split_clause,[],[f13470,f13303,f13900]) ).
fof(f13900,plain,
( spl2410_3
<=> sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool))),insert),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),bool)),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),fun(cart(real,sK2122),bool))),delete),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(cart(real,sK2122),sK2123)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2410_3])]) ).
fof(f13470,plain,
( sQ2409_eqProxy(s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool))),insert),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),i(s(fun(cart(real,sK2122),fun(cart(real,sK2122),bool)),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),fun(cart(real,sK2122),bool))),delete),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121))))),s(cart(real,sK2122),sK2123))))))
| ~ spl2410_2 ),
inference(resolution,[],[f13305,f12048]) ).
fof(f12048,plain,
! [X2,X0,X1] :
( sQ2409_eqProxy(s(fun(X2,bool),X0),s(fun(X2,bool),i(s(fun(fun(X2,bool),fun(X2,bool)),i(s(fun(X2,fun(fun(X2,bool),fun(X2,bool))),insert),s(X2,X1))),s(fun(X2,bool),i(s(fun(X2,fun(X2,bool)),i(s(fun(fun(X2,bool),fun(X2,fun(X2,bool))),delete),s(fun(X2,bool),X0))),s(X2,X1))))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X1))),s(fun(X2,bool),X0)))) ),
inference(equality_proxy_replacement,[],[f8674,f10758]) ).
fof(f8674,plain,
! [X2,X0,X1] :
( s(fun(X2,bool),X0) = s(fun(X2,bool),i(s(fun(fun(X2,bool),fun(X2,bool)),i(s(fun(X2,fun(fun(X2,bool),fun(X2,bool))),insert),s(X2,X1))),s(fun(X2,bool),i(s(fun(X2,fun(X2,bool)),i(s(fun(fun(X2,bool),fun(X2,fun(X2,bool))),delete),s(fun(X2,bool),X0))),s(X2,X1)))))
| ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X1))),s(fun(X2,bool),X0)))) ),
inference(cnf_transformation,[],[f5361]) ).
fof(f5361,plain,
! [X0,X1,X2] :
( ~ p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X1))),s(fun(X2,bool),X0))))
| s(fun(X2,bool),X0) = s(fun(X2,bool),i(s(fun(fun(X2,bool),fun(X2,bool)),i(s(fun(X2,fun(fun(X2,bool),fun(X2,bool))),insert),s(X2,X1))),s(fun(X2,bool),i(s(fun(X2,fun(X2,bool)),i(s(fun(fun(X2,bool),fun(X2,fun(X2,bool))),delete),s(fun(X2,bool),X0))),s(X2,X1))))) ),
inference(ennf_transformation,[],[f4886]) ).
fof(f4886,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(fun(X2,bool),bool),i(s(fun(X2,fun(fun(X2,bool),bool)),in),s(X2,X1))),s(fun(X2,bool),X0))))
=> s(fun(X2,bool),X0) = s(fun(X2,bool),i(s(fun(fun(X2,bool),fun(X2,bool)),i(s(fun(X2,fun(fun(X2,bool),fun(X2,bool))),insert),s(X2,X1))),s(fun(X2,bool),i(s(fun(X2,fun(X2,bool)),i(s(fun(fun(X2,bool),fun(X2,fun(X2,bool))),delete),s(fun(X2,bool),X0))),s(X2,X1))))) ),
inference(rectify,[],[f1797]) ).
fof(f1797,axiom,
! [X96,X0,X3] :
( p(s(bool,i(s(fun(fun(X3,bool),bool),i(s(fun(X3,fun(fun(X3,bool),bool)),in),s(X3,X0))),s(fun(X3,bool),X96))))
=> s(fun(X3,bool),X96) = s(fun(X3,bool),i(s(fun(fun(X3,bool),fun(X3,bool)),i(s(fun(X3,fun(fun(X3,bool),fun(X3,bool))),insert),s(X3,X0))),s(fun(X3,bool),i(s(fun(X3,fun(X3,bool)),i(s(fun(fun(X3,bool),fun(X3,fun(X3,bool))),delete),s(fun(X3,bool),X96))),s(X3,X0))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aINSERTu_DELETE) ).
fof(f13306,plain,
spl2410_2,
inference(avatar_split_clause,[],[f10237,f13303]) ).
fof(f10237,plain,
p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),sK2123))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))),
inference(cnf_transformation,[],[f6079]) ).
fof(f6079,plain,
? [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),vectoru_neg),s(cart(real,X0),X1))))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2))))))
& p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X1))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2)))))) ),
inference(ennf_transformation,[],[f3842]) ).
fof(f3842,plain,
~ ! [X1,X2,X0] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X1))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2))))))
=> p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),vectoru_neg),s(cart(real,X0),X1))))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2)))))) ),
inference(rectify,[],[f3337]) ).
fof(f3337,negated_conjecture,
~ ! [X1399,X0,X96] :
( p(s(bool,i(s(fun(fun(cart(real,X1399),bool),bool),i(s(fun(cart(real,X1399),fun(fun(cart(real,X1399),bool),bool)),in),s(cart(real,X1399),X0))),s(fun(cart(real,X1399),bool),i(s(fun(fun(cart(real,X1399),bool),fun(cart(real,X1399),bool)),span),s(fun(cart(real,X1399),bool),X96))))))
=> p(s(bool,i(s(fun(fun(cart(real,X1399),bool),bool),i(s(fun(cart(real,X1399),fun(fun(cart(real,X1399),bool),bool)),in),s(cart(real,X1399),i(s(fun(cart(real,X1399),cart(real,X1399)),vectoru_neg),s(cart(real,X1399),X0))))),s(fun(cart(real,X1399),bool),i(s(fun(fun(cart(real,X1399),bool),fun(cart(real,X1399),bool)),span),s(fun(cart(real,X1399),bool),X96)))))) ),
inference(negated_conjecture,[],[f3336]) ).
fof(f3336,conjecture,
! [X1399,X0,X96] :
( p(s(bool,i(s(fun(fun(cart(real,X1399),bool),bool),i(s(fun(cart(real,X1399),fun(fun(cart(real,X1399),bool),bool)),in),s(cart(real,X1399),X0))),s(fun(cart(real,X1399),bool),i(s(fun(fun(cart(real,X1399),bool),fun(cart(real,X1399),bool)),span),s(fun(cart(real,X1399),bool),X96))))))
=> p(s(bool,i(s(fun(fun(cart(real,X1399),bool),bool),i(s(fun(cart(real,X1399),fun(fun(cart(real,X1399),bool),bool)),in),s(cart(real,X1399),i(s(fun(cart(real,X1399),cart(real,X1399)),vectoru_neg),s(cart(real,X1399),X0))))),s(fun(cart(real,X1399),bool),i(s(fun(fun(cart(real,X1399),bool),fun(cart(real,X1399),bool)),span),s(fun(cart(real,X1399),bool),X96)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSPANu_NEG) ).
fof(f13301,plain,
~ spl2410_1,
inference(avatar_split_clause,[],[f10238,f13298]) ).
fof(f10238,plain,
~ p(s(bool,i(s(fun(fun(cart(real,sK2122),bool),bool),i(s(fun(cart(real,sK2122),fun(fun(cart(real,sK2122),bool),bool)),in),s(cart(real,sK2122),i(s(fun(cart(real,sK2122),cart(real,sK2122)),vectoru_neg),s(cart(real,sK2122),sK2123))))),s(fun(cart(real,sK2122),bool),i(s(fun(fun(cart(real,sK2122),bool),fun(cart(real,sK2122),bool)),span),s(fun(cart(real,sK2122),bool),sK2121)))))),
inference(cnf_transformation,[],[f6079]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO465+1 : TPTP v8.1.0. Released v7.0.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 21:13:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.96/1.22 % (9812)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/45Mi)
% 0.96/1.22 % (9804)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/7Mi)
% 0.96/1.23 % (9796)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/39Mi)
% 0.96/1.23 % (9789)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/99978Mi)
% 0.96/1.25 % (9804)Instruction limit reached!
% 0.96/1.25 % (9804)------------------------------
% 0.96/1.25 % (9804)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.96/1.25 % (9804)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.96/1.25 % (9804)Termination reason: Unknown
% 0.96/1.25 % (9804)Termination phase: Preprocessing 1
% 0.96/1.25
% 0.96/1.25 % (9804)Memory used [KB]: 12665
% 0.96/1.25 % (9804)Time elapsed: 0.017 s
% 0.96/1.25 % (9804)Instructions burned: 8 (million)
% 0.96/1.25 % (9804)------------------------------
% 0.96/1.25 % (9804)------------------------------
% 0.96/1.25 % (9795)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/39Mi)
% 0.96/1.26 % (9811)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/82Mi)
% 0.96/1.26 % (9792)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/51Mi)
% 0.96/1.27 % (9808)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/11Mi)
% 0.99/1.27 % (9803)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/3Mi)
% 0.99/1.28 % (9791)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/3Mi)
% 0.99/1.28 % (9813)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/50Mi)
% 0.99/1.28 % (9800)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/7Mi)
% 0.99/1.29 % (9794)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/15Mi)
% 0.99/1.29 % (9793)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/13Mi)
% 0.99/1.29 % (9797)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/49Mi)
% 0.99/1.29 % (9807)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/2Mi)
% 0.99/1.29 % (9803)Instruction limit reached!
% 0.99/1.29 % (9803)------------------------------
% 0.99/1.29 % (9803)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.99/1.29 % (9803)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.99/1.29 % (9803)Termination reason: Unknown
% 0.99/1.29 % (9803)Termination phase: shuffling
% 0.99/1.29
% 0.99/1.29 % (9803)Memory used [KB]: 12281
% 0.99/1.29 % (9807)Instruction limit reached!
% 0.99/1.29 % (9807)------------------------------
% 0.99/1.29 % (9807)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.99/1.29 % (9803)Time elapsed: 0.006 s
% 0.99/1.29 % (9803)Instructions burned: 3 (million)
% 0.99/1.29 % (9807)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.99/1.29 % (9803)------------------------------
% 0.99/1.29 % (9803)------------------------------
% 0.99/1.29 % (9807)Termination reason: Unknown
% 0.99/1.29 % (9807)Termination phase: shuffling
% 0.99/1.29
% 0.99/1.29 % (9807)Memory used [KB]: 12153
% 0.99/1.29 % (9807)Time elapsed: 0.002 s
% 0.99/1.29 % (9807)Instructions burned: 2 (million)
% 0.99/1.29 % (9807)------------------------------
% 0.99/1.29 % (9807)------------------------------
% 0.99/1.29 % (9790)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/13Mi)
% 0.99/1.29 % (9796)Instruction limit reached!
% 0.99/1.29 % (9796)------------------------------
% 0.99/1.29 % (9796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.99/1.29 % (9796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.99/1.29 % (9796)Termination reason: Unknown
% 0.99/1.29 % (9796)Termination phase: SInE selection
% 0.99/1.29
% 0.99/1.29 % (9796)Memory used [KB]: 12537
% 0.99/1.29 % (9796)Time elapsed: 0.037 s
% 0.99/1.29 % (9796)Instructions burned: 39 (million)
% 0.99/1.29 % (9796)------------------------------
% 0.99/1.29 % (9796)------------------------------
% 0.99/1.29 % (9791)Instruction limit reached!
% 0.99/1.29 % (9791)------------------------------
% 0.99/1.29 % (9791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.99/1.29 % (9812)Instruction limit reached!
% 0.99/1.29 % (9812)------------------------------
% 0.99/1.29 % (9812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.99/1.29 % (9801)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/16Mi)
% 0.99/1.30 % (9818)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/24Mi)
% 0.99/1.30 % (9806)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/3Mi)
% 0.99/1.30 % (9812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.99/1.30 % (9812)Termination reason: Unknown
% 0.99/1.30 % (9812)Termination phase: SInE selection
% 0.99/1.30
% 0.99/1.30 % (9812)Memory used [KB]: 12537
% 0.99/1.30 % (9812)Time elapsed: 0.043 s
% 0.99/1.30 % (9812)Instructions burned: 47 (million)
% 0.99/1.30 % (9812)------------------------------
% 0.99/1.30 % (9812)------------------------------
% 0.99/1.30 % (9800)Instruction limit reached!
% 0.99/1.30 % (9800)------------------------------
% 0.99/1.30 % (9800)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.99/1.30 % (9800)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.99/1.30 % (9800)Termination reason: Unknown
% 0.99/1.30 % (9800)Termination phase: SInE selection
% 0.99/1.30
% 0.99/1.30 % (9800)Memory used [KB]: 12537
% 0.99/1.30 % (9800)Time elapsed: 0.011 s
% 0.99/1.30 % (9800)Instructions burned: 9 (million)
% 0.99/1.30 % (9800)------------------------------
% 0.99/1.30 % (9800)------------------------------
% 0.99/1.30 % (9805)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/50Mi)
% 0.99/1.30 % (9799)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/12Mi)
% 0.99/1.30 % (9791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.99/1.30 % (9791)Termination reason: Unknown
% 0.99/1.30 % (9791)Termination phase: shuffling
% 0.99/1.30
% 0.99/1.30 % (9791)Memory used [KB]: 12281
% 0.99/1.30 % (9791)Time elapsed: 0.005 s
% 0.99/1.30 % (9791)Instructions burned: 3 (million)
% 0.99/1.30 % (9791)------------------------------
% 0.99/1.30 % (9791)------------------------------
% 0.99/1.30 % (9808)Instruction limit reached!
% 0.99/1.30 % (9808)------------------------------
% 0.99/1.30 % (9808)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.99/1.30 % (9808)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.99/1.30 % (9808)Termination reason: Unknown
% 0.99/1.30 % (9808)Termination phase: SInE selection
% 0.99/1.30
% 0.99/1.30 % (9808)Memory used [KB]: 12537
% 0.99/1.30 % (9808)Time elapsed: 0.011 s
% 0.99/1.30 % (9808)Instructions burned: 11 (million)
% 0.99/1.30 % (9808)------------------------------
% 0.99/1.30 % (9808)------------------------------
% 0.99/1.30 % (9810)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/99Mi)
% 0.99/1.31 % (9798)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/33Mi)
% 0.99/1.31 % (9817)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/8Mi)
% 0.99/1.31 % (9802)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/51Mi)
% 0.99/1.31 % (9809)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/30Mi)
% 0.99/1.31 % (9795)Instruction limit reached!
% 0.99/1.31 % (9795)------------------------------
% 0.99/1.31 % (9795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.99/1.31 % (9795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.99/1.31 % (9795)Termination reason: Unknown
% 0.99/1.31 % (9795)Termination phase: SInE selection
% 0.99/1.31
% 0.99/1.31 % (9795)Memory used [KB]: 12537
% 0.99/1.31 % (9795)Time elapsed: 0.025 s
% 0.99/1.31 % (9795)Instructions burned: 41 (million)
% 0.99/1.31 % (9795)------------------------------
% 0.99/1.31 % (9795)------------------------------
% 0.99/1.31 % (9814)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/95Mi)
% 0.99/1.31 % (9815)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/99Mi)
% 0.99/1.32 % (9816)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/25Mi)
% 0.99/1.32 % (9794)Instruction limit reached!
% 0.99/1.32 % (9794)------------------------------
% 0.99/1.32 % (9794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.99/1.32 % (9794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.99/1.32 % (9794)Termination reason: Unknown
% 0.99/1.32 % (9794)Termination phase: SInE selection
% 0.99/1.32
% 0.99/1.32 % (9794)Memory used [KB]: 12537
% 0.99/1.32 % (9794)Time elapsed: 0.013 s
% 0.99/1.32 % (9794)Instructions burned: 16 (million)
% 0.99/1.32 % (9794)------------------------------
% 0.99/1.32 % (9794)------------------------------
% 0.99/1.32 % (9806)Instruction limit reached!
% 0.99/1.32 % (9806)------------------------------
% 0.99/1.32 % (9806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.99/1.32 % (9806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.99/1.32 % (9806)Termination reason: Unknown
% 0.99/1.32 % (9806)Termination phase: shuffling
% 0.99/1.32
% 0.99/1.32 % (9806)Memory used [KB]: 12281
% 0.99/1.32 % (9806)Time elapsed: 0.005 s
% 0.99/1.32 % (9806)Instructions burned: 3 (million)
% 0.99/1.32 % (9806)------------------------------
% 0.99/1.32 % (9806)------------------------------
% 0.99/1.32 % (9790)Instruction limit reached!
% 0.99/1.32 % (9790)------------------------------
% 0.99/1.32 % (9790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.99/1.32 % (9790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.99/1.32 % (9790)Termination reason: Unknown
% 0.99/1.32 % (9790)Termination phase: SInE selection
% 0.99/1.32
% 0.99/1.32 % (9790)Memory used [KB]: 12537
% 0.99/1.32 % (9790)Time elapsed: 0.012 s
% 0.99/1.32 % (9790)Instructions burned: 13 (million)
% 0.99/1.32 % (9790)------------------------------
% 0.99/1.32 % (9790)------------------------------
% 0.99/1.33 % (9793)Instruction limit reached!
% 0.99/1.33 % (9793)------------------------------
% 0.99/1.33 % (9793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.99/1.33 % (9793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.99/1.33 % (9793)Termination reason: Unknown
% 0.99/1.33 % (9793)Termination phase: SInE selection
% 0.99/1.33
% 0.99/1.33 % (9793)Memory used [KB]: 12537
% 0.99/1.33 % (9793)Time elapsed: 0.014 s
% 0.99/1.33 % (9793)Instructions burned: 14 (million)
% 0.99/1.33 % (9793)------------------------------
% 0.99/1.33 % (9793)------------------------------
% 0.99/1.33 % (9799)Instruction limit reached!
% 0.99/1.33 % (9799)------------------------------
% 0.99/1.33 % (9799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.99/1.33 % (9817)Instruction limit reached!
% 0.99/1.33 % (9817)------------------------------
% 0.99/1.33 % (9817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.99/1.33 % (9792)Instruction limit reached!
% 0.99/1.33 % (9792)------------------------------
% 0.99/1.33 % (9792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.99/1.34 % (9792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.99/1.34 % (9792)Termination reason: Unknown
% 0.99/1.34 % (9792)Termination phase: SInE selection
% 0.99/1.34
% 0.99/1.34 % (9792)Memory used [KB]: 12665
% 0.99/1.34 % (9792)Time elapsed: 0.040 s
% 0.99/1.34 % (9792)Instructions burned: 52 (million)
% 0.99/1.34 % (9792)------------------------------
% 0.99/1.34 % (9792)------------------------------
% 0.99/1.34 % (9817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.99/1.34 % (9817)Termination reason: Unknown
% 0.99/1.34 % (9817)Termination phase: Preprocessing 1
% 0.99/1.34
% 0.99/1.34 % (9817)Memory used [KB]: 12665
% 0.99/1.34 % (9817)Time elapsed: 0.012 s
% 0.99/1.34 % (9817)Instructions burned: 9 (million)
% 0.99/1.34 % (9817)------------------------------
% 0.99/1.34 % (9817)------------------------------
% 1.82/1.34 % (9799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/1.34 % (9799)Termination reason: Unknown
% 1.82/1.34 % (9799)Termination phase: SInE selection
% 1.82/1.34
% 1.82/1.34 % (9799)Memory used [KB]: 12537
% 1.82/1.34 % (9799)Time elapsed: 0.011 s
% 1.82/1.34 % (9799)Instructions burned: 12 (million)
% 1.82/1.34 % (9799)------------------------------
% 1.82/1.34 % (9799)------------------------------
% 1.82/1.35 % (9801)Instruction limit reached!
% 1.82/1.35 % (9801)------------------------------
% 1.82/1.35 % (9801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/1.35 % (9801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/1.35 % (9801)Termination reason: Unknown
% 1.82/1.35 % (9801)Termination phase: SInE selection
% 1.82/1.35
% 1.82/1.35 % (9801)Memory used [KB]: 12537
% 1.82/1.35 % (9801)Time elapsed: 0.014 s
% 1.82/1.35 % (9801)Instructions burned: 17 (million)
% 1.82/1.35 % (9801)------------------------------
% 1.82/1.35 % (9801)------------------------------
% 1.82/1.36 % (9798)Instruction limit reached!
% 1.82/1.36 % (9798)------------------------------
% 1.82/1.36 % (9798)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/1.36 % (9798)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/1.36 % (9798)Termination reason: Unknown
% 1.82/1.36 % (9798)Termination phase: SInE selection
% 1.82/1.36
% 1.82/1.36 % (9798)Memory used [KB]: 12537
% 1.82/1.36 % (9798)Time elapsed: 0.022 s
% 1.82/1.36 % (9798)Instructions burned: 34 (million)
% 1.82/1.36 % (9798)------------------------------
% 1.82/1.36 % (9798)------------------------------
% 1.82/1.36 % (9816)Instruction limit reached!
% 1.82/1.36 % (9816)------------------------------
% 1.82/1.36 % (9816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/1.36 % (9816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/1.36 % (9816)Termination reason: Unknown
% 1.82/1.36 % (9816)Termination phase: SInE selection
% 1.82/1.36
% 1.82/1.36 % (9816)Memory used [KB]: 12537
% 1.82/1.36 % (9816)Time elapsed: 0.017 s
% 1.82/1.36 % (9816)Instructions burned: 25 (million)
% 1.82/1.36 % (9816)------------------------------
% 1.82/1.36 % (9816)------------------------------
% 2.00/1.37 % (9818)Instruction limit reached!
% 2.00/1.37 % (9818)------------------------------
% 2.00/1.37 % (9818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/1.37 % (9818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/1.37 % (9818)Termination reason: Unknown
% 2.00/1.37 % (9818)Termination phase: SInE selection
% 2.00/1.37
% 2.00/1.37 % (9818)Memory used [KB]: 12537
% 2.00/1.37 % (9818)Time elapsed: 0.017 s
% 2.00/1.37 % (9818)Instructions burned: 24 (million)
% 2.00/1.37 % (9818)------------------------------
% 2.00/1.37 % (9818)------------------------------
% 2.00/1.38 % (9809)Instruction limit reached!
% 2.00/1.38 % (9809)------------------------------
% 2.00/1.38 % (9809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/1.38 % (9809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/1.38 % (9809)Termination reason: Unknown
% 2.00/1.38 % (9809)Termination phase: SInE selection
% 2.00/1.38
% 2.00/1.38 % (9809)Memory used [KB]: 12537
% 2.00/1.38 % (9809)Time elapsed: 0.019 s
% 2.00/1.38 % (9809)Instructions burned: 30 (million)
% 2.00/1.38 % (9809)------------------------------
% 2.00/1.38 % (9809)------------------------------
% 2.00/1.38 % (9819)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/92Mi)
% 2.00/1.39 % (9813)Instruction limit reached!
% 2.00/1.39 % (9813)------------------------------
% 2.00/1.39 % (9813)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/1.39 % (9813)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/1.39 % (9813)Termination reason: Unknown
% 2.00/1.39 % (9813)Termination phase: SInE selection
% 2.00/1.39
% 2.00/1.39 % (9813)Memory used [KB]: 12537
% 2.00/1.39 % (9813)Time elapsed: 0.028 s
% 2.00/1.39 % (9813)Instructions burned: 51 (million)
% 2.00/1.39 % (9813)------------------------------
% 2.00/1.39 % (9813)------------------------------
% 2.00/1.39 % (9797)Instruction limit reached!
% 2.00/1.39 % (9797)------------------------------
% 2.00/1.39 % (9797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/1.39 % (9797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/1.39 % (9797)Termination reason: Unknown
% 2.00/1.39 % (9797)Termination phase: SInE selection
% 2.00/1.39
% 2.00/1.39 % (9797)Memory used [KB]: 12665
% 2.00/1.39 % (9797)Time elapsed: 0.027 s
% 2.00/1.39 % (9797)Instructions burned: 51 (million)
% 2.00/1.39 % (9797)------------------------------
% 2.00/1.39 % (9797)------------------------------
% 2.00/1.39 % (9821)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/87Mi)
% 2.00/1.40 % (9805)Instruction limit reached!
% 2.00/1.40 % (9805)------------------------------
% 2.00/1.40 % (9805)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/1.40 % (9805)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/1.40 % (9805)Termination reason: Unknown
% 2.00/1.40 % (9805)Termination phase: Preprocessing 1
% 2.00/1.40
% 2.00/1.40 % (9805)Memory used [KB]: 16630
% 2.00/1.40 % (9805)Time elapsed: 0.029 s
% 2.00/1.40 % (9805)Instructions burned: 51 (million)
% 2.00/1.40 % (9805)------------------------------
% 2.00/1.40 % (9805)------------------------------
% 2.00/1.40 % (9802)Instruction limit reached!
% 2.00/1.40 % (9802)------------------------------
% 2.00/1.40 % (9802)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/1.40 % (9802)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/1.40 % (9802)Termination reason: Unknown
% 2.00/1.40 % (9802)Termination phase: SInE selection
% 2.00/1.40
% 2.00/1.40 % (9802)Memory used [KB]: 12665
% 2.00/1.40 % (9802)Time elapsed: 0.029 s
% 2.00/1.40 % (9802)Instructions burned: 52 (million)
% 2.00/1.40 % (9802)------------------------------
% 2.00/1.40 % (9802)------------------------------
% 2.00/1.41 % (9820)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/7Mi)
% 2.00/1.41 % (9825)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/141Mi)
% 2.46/1.42 % (9827)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/31Mi)
% 2.46/1.42 % (9811)Instruction limit reached!
% 2.46/1.42 % (9811)------------------------------
% 2.46/1.42 % (9811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/1.42 % (9811)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/1.42 % (9811)Termination reason: Unknown
% 2.46/1.42 % (9811)Termination phase: SInE selection
% 2.46/1.42
% 2.46/1.42 % (9811)Memory used [KB]: 12665
% 2.46/1.42 % (9811)Time elapsed: 0.046 s
% 2.46/1.42 % (9811)Instructions burned: 83 (million)
% 2.46/1.42 % (9811)------------------------------
% 2.46/1.42 % (9811)------------------------------
% 2.46/1.42 % (9820)Instruction limit reached!
% 2.46/1.42 % (9820)------------------------------
% 2.46/1.42 % (9820)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/1.43 % (9824)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/56Mi)
% 2.46/1.43 % (9822)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/69Mi)
% 2.46/1.43 % (9823)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/107Mi)
% 2.46/1.44 % (9830)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/131Mi)
% 2.46/1.44 % (9820)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/1.44 % (9820)Termination reason: Unknown
% 2.46/1.44 % (9820)Termination phase: SInE selection
% 2.46/1.44
% 2.46/1.44 % (9820)Memory used [KB]: 12537
% 2.46/1.44 % (9820)Time elapsed: 0.009 s
% 2.46/1.44 % (9820)Instructions burned: 7 (million)
% 2.46/1.44 % (9820)------------------------------
% 2.46/1.44 % (9820)------------------------------
% 2.46/1.45 % (9810)Instruction limit reached!
% 2.46/1.45 % (9810)------------------------------
% 2.46/1.45 % (9810)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/1.45 % (9810)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/1.45 % (9810)Termination reason: Unknown
% 2.46/1.45 % (9810)Termination phase: SInE selection
% 2.46/1.45
% 2.46/1.45 % (9810)Memory used [KB]: 12665
% 2.46/1.45 % (9810)Time elapsed: 0.051 s
% 2.46/1.45 % (9810)Instructions burned: 101 (million)
% 2.46/1.45 % (9810)------------------------------
% 2.46/1.45 % (9810)------------------------------
% 2.60/1.45 % (9828)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/68Mi)
% 2.60/1.46 % (9826)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/42Mi)
% 2.60/1.46 % (9831)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/93Mi)
% 2.60/1.46 % (9835)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/32Mi)
% 2.60/1.46 % (9833)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/86Mi)
% 2.60/1.47 % (9829)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/84Mi)
% 2.60/1.47 % (9814)Instruction limit reached!
% 2.60/1.47 % (9814)------------------------------
% 2.60/1.47 % (9814)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/1.47 % (9814)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/1.47 % (9814)Termination reason: Unknown
% 2.60/1.47 % (9814)Termination phase: SInE selection
% 2.60/1.47
% 2.60/1.47 % (9814)Memory used [KB]: 12665
% 2.60/1.47 % (9814)Time elapsed: 0.049 s
% 2.60/1.47 % (9814)Instructions burned: 95 (million)
% 2.60/1.47 % (9814)------------------------------
% 2.60/1.47 % (9814)------------------------------
% 2.60/1.48 % (9815)Instruction limit reached!
% 2.60/1.48 % (9815)------------------------------
% 2.60/1.48 % (9815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/1.48 % (9815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/1.48 % (9815)Termination reason: Unknown
% 2.60/1.48 % (9815)Termination phase: Preprocessing 1
% 2.60/1.48
% 2.60/1.48 % (9815)Memory used [KB]: 19189
% 2.60/1.48 % (9815)Time elapsed: 0.050 s
% 2.60/1.48 % (9815)Instructions burned: 99 (million)
% 2.60/1.48 % (9815)------------------------------
% 2.60/1.48 % (9815)------------------------------
% 2.60/1.49 % (9834)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/15Mi)
% 2.60/1.49 % (9832)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/109Mi)
% 2.60/1.49 % (9837)ott+10_1:1_ep=R:sd=1:sos=all:ss=axioms:i=66:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/66Mi)
% 2.60/1.49 % (9827)Instruction limit reached!
% 2.60/1.49 % (9827)------------------------------
% 2.60/1.49 % (9827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/1.49 % (9827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/1.49 % (9827)Termination reason: Unknown
% 2.60/1.49 % (9827)Termination phase: Preprocessing 1
% 2.60/1.49
% 2.60/1.49 % (9827)Memory used [KB]: 13816
% 2.60/1.49 % (9827)Time elapsed: 0.023 s
% 2.60/1.49 % (9827)Instructions burned: 33 (million)
% 2.60/1.49 % (9827)------------------------------
% 2.60/1.49 % (9827)------------------------------
% 2.60/1.49 % (9836)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/149Mi)
% 2.60/1.50 % (9839)dis+1002_1:1_ins=1:sd=1:sos=on:ss=axioms:to=lpo:i=341:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/341Mi)
% 2.60/1.51 % (9824)Instruction limit reached!
% 2.60/1.51 % (9824)------------------------------
% 2.60/1.51 % (9824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/1.51 % (9821)Instruction limit reached!
% 2.60/1.51 % (9821)------------------------------
% 2.60/1.51 % (9821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/1.52 % (9840)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=237:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/237Mi)
% 2.60/1.52 % (9821)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/1.52 % (9821)Termination reason: Unknown
% 2.60/1.52 % (9821)Termination phase: SInE selection
% 2.60/1.52
% 2.60/1.52 % (9821)Memory used [KB]: 12665
% 2.60/1.52 % (9821)Time elapsed: 0.053 s
% 2.60/1.52 % (9821)Instructions burned: 87 (million)
% 2.60/1.52 % (9821)------------------------------
% 2.60/1.52 % (9821)------------------------------
% 2.60/1.52 % (9838)ott+10_4:7_awrs=converge:bd=preordered:flr=on:nwc=10.0:sos=on:sp=reverse_frequency:to=lpo:urr=on:i=19:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/19Mi)
% 2.60/1.52 % (9824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/1.52 % (9824)Termination reason: Unknown
% 2.60/1.52 % (9824)Termination phase: SInE selection
% 2.60/1.52
% 2.60/1.52 % (9824)Memory used [KB]: 12665
% 2.60/1.52 % (9824)Time elapsed: 0.032 s
% 2.60/1.52 % (9824)Instructions burned: 58 (million)
% 2.60/1.52 % (9824)------------------------------
% 2.60/1.52 % (9824)------------------------------
% 2.60/1.52 % (9841)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/10Mi)
% 3.07/1.53 % (9835)Instruction limit reached!
% 3.07/1.53 % (9835)------------------------------
% 3.07/1.53 % (9835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/1.53 % (9835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/1.53 % (9835)Termination reason: Unknown
% 3.07/1.53 % (9835)Termination phase: SInE selection
% 3.07/1.53
% 3.07/1.53 % (9835)Memory used [KB]: 12537
% 3.07/1.53 % (9835)Time elapsed: 0.024 s
% 3.07/1.53 % (9835)Instructions burned: 33 (million)
% 3.07/1.53 % (9835)------------------------------
% 3.07/1.53 % (9835)------------------------------
% 3.07/1.53 % (9842)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=472:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/472Mi)
% 3.07/1.53 % (9843)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/21Mi)
% 3.07/1.53 % (9826)Instruction limit reached!
% 3.07/1.53 % (9826)------------------------------
% 3.07/1.53 % (9826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/1.53 % (9826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/1.53 % (9826)Termination reason: Unknown
% 3.07/1.53 % (9826)Termination phase: Preprocessing 1
% 3.07/1.53
% 3.07/1.53 % (9826)Memory used [KB]: 16247
% 3.07/1.53 % (9826)Time elapsed: 0.030 s
% 3.07/1.53 % (9826)Instructions burned: 43 (million)
% 3.07/1.53 % (9826)------------------------------
% 3.07/1.53 % (9826)------------------------------
% 3.07/1.54 % (9844)lrs+2_1:1_ep=R:fde=none:lcm=reverse:nwc=5.0:sos=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/97Mi)
% 3.07/1.54 % (9819)Instruction limit reached!
% 3.07/1.54 % (9819)------------------------------
% 3.07/1.54 % (9819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/1.54 % (9819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/1.54 % (9819)Termination reason: Unknown
% 3.07/1.54 % (9819)Termination phase: Preprocessing 1
% 3.07/1.54
% 3.07/1.54 % (9819)Memory used [KB]: 13048
% 3.07/1.54 % (9819)Time elapsed: 0.049 s
% 3.07/1.54 % (9819)Instructions burned: 93 (million)
% 3.07/1.54 % (9819)------------------------------
% 3.07/1.54 % (9819)------------------------------
% 3.07/1.54 % (9834)Instruction limit reached!
% 3.07/1.54 % (9834)------------------------------
% 3.07/1.54 % (9834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/1.54 % (9834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/1.54 % (9834)Termination reason: Unknown
% 3.07/1.54 % (9834)Termination phase: Preprocessing 1
% 3.07/1.54
% 3.07/1.54 % (9834)Memory used [KB]: 13048
% 3.07/1.54 % (9834)Time elapsed: 0.014 s
% 3.07/1.54 % (9834)Instructions burned: 15 (million)
% 3.07/1.54 % (9834)------------------------------
% 3.07/1.54 % (9834)------------------------------
% 3.07/1.54 % (9822)Instruction limit reached!
% 3.07/1.54 % (9822)------------------------------
% 3.07/1.54 % (9822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/1.54 % (9822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/1.54 % (9822)Termination reason: Unknown
% 3.07/1.54 % (9822)Termination phase: Preprocessing 1
% 3.07/1.54
% 3.07/1.54 % (9822)Memory used [KB]: 17654
% 3.07/1.54 % (9822)Time elapsed: 0.044 s
% 3.07/1.54 % (9822)Instructions burned: 69 (million)
% 3.07/1.54 % (9822)------------------------------
% 3.07/1.54 % (9822)------------------------------
% 3.07/1.55 % (9838)Instruction limit reached!
% 3.07/1.55 % (9838)------------------------------
% 3.07/1.55 % (9838)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/1.55 % (9838)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/1.55 % (9838)Termination reason: Unknown
% 3.07/1.55 % (9838)Termination phase: Preprocessing 1
% 3.07/1.55
% 3.07/1.55 % (9838)Memory used [KB]: 13176
% 3.07/1.55 % (9838)Time elapsed: 0.016 s
% 3.07/1.55 % (9838)Instructions burned: 19 (million)
% 3.07/1.55 % (9838)------------------------------
% 3.07/1.55 % (9838)------------------------------
% 3.07/1.55 % (9841)Instruction limit reached!
% 3.07/1.55 % (9841)------------------------------
% 3.07/1.55 % (9841)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/1.55 % (9841)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/1.55 % (9841)Termination reason: Unknown
% 3.07/1.55 % (9841)Termination phase: SInE selection
% 3.07/1.55
% 3.07/1.55 % (9841)Memory used [KB]: 12537
% 3.07/1.55 % (9841)Time elapsed: 0.010 s
% 3.07/1.55 % (9841)Instructions burned: 10 (million)
% 3.07/1.55 % (9841)------------------------------
% 3.07/1.55 % (9841)------------------------------
% 3.46/1.57 % (9843)Instruction limit reached!
% 3.46/1.57 % (9843)------------------------------
% 3.46/1.57 % (9843)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.46/1.57 % (9843)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.46/1.57 % (9843)Termination reason: Unknown
% 3.46/1.57 % (9843)Termination phase: SInE selection
% 3.46/1.57
% 3.46/1.57 % (9843)Memory used [KB]: 12537
% 3.46/1.57 % (9843)Time elapsed: 0.029 s
% 3.46/1.57 % (9843)Instructions burned: 21 (million)
% 3.46/1.57 % (9843)------------------------------
% 3.46/1.57 % (9843)------------------------------
% 3.46/1.58 % (9846)dis+1011_1:1_nwc=3.0:sd=1:spb=goal_then_units:ss=included:to=lpo:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/138Mi)
% 3.46/1.58 % (9828)Instruction limit reached!
% 3.46/1.58 % (9828)------------------------------
% 3.46/1.58 % (9828)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.46/1.58 % (9828)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.46/1.58 % (9828)Termination reason: Unknown
% 3.46/1.58 % (9828)Termination phase: SInE selection
% 3.46/1.58
% 3.46/1.58 % (9828)Memory used [KB]: 12665
% 3.46/1.58 % (9828)Time elapsed: 0.038 s
% 3.46/1.58 % (9828)Instructions burned: 70 (million)
% 3.46/1.58 % (9828)------------------------------
% 3.46/1.58 % (9828)------------------------------
% 3.46/1.58 % (9845)lrs+10_1:1_av=off:sd=2:sos=on:ss=axioms:st=1.5:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/21Mi)
% 3.46/1.59 % (9823)Instruction limit reached!
% 3.46/1.59 % (9823)------------------------------
% 3.46/1.59 % (9823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.46/1.59 % (9847)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=393:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/393Mi)
% 3.46/1.60 % (9823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.46/1.60 % (9823)Termination reason: Unknown
% 3.46/1.60 % (9823)Termination phase: Preprocessing 1
% 3.46/1.60
% 3.46/1.60 % (9823)Memory used [KB]: 12792
% 3.46/1.60 % (9823)Time elapsed: 0.056 s
% 3.46/1.60 % (9823)Instructions burned: 108 (million)
% 3.46/1.60 % (9823)------------------------------
% 3.46/1.60 % (9823)------------------------------
% 3.46/1.61 % (9829)Instruction limit reached!
% 3.46/1.61 % (9829)------------------------------
% 3.46/1.61 % (9829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.46/1.61 % (9829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.46/1.61 % (9829)Termination reason: Unknown
% 3.46/1.61 % (9829)Termination phase: SInE selection
% 3.46/1.61
% 3.46/1.61 % (9829)Memory used [KB]: 12665
% 3.46/1.61 % (9829)Time elapsed: 0.041 s
% 3.46/1.61 % (9829)Instructions burned: 84 (million)
% 3.46/1.61 % (9829)------------------------------
% 3.46/1.61 % (9829)------------------------------
% 3.46/1.61 % (9833)Instruction limit reached!
% 3.46/1.61 % (9833)------------------------------
% 3.46/1.61 % (9833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.46/1.61 % (9833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.46/1.61 % (9833)Termination reason: Unknown
% 3.46/1.61 % (9833)Termination phase: SInE selection
% 3.46/1.61
% 3.46/1.61 % (9833)Memory used [KB]: 12665
% 3.46/1.61 % (9833)Time elapsed: 0.044 s
% 3.46/1.61 % (9833)Instructions burned: 86 (million)
% 3.46/1.61 % (9833)------------------------------
% 3.46/1.61 % (9833)------------------------------
% 3.46/1.61 % (9837)Instruction limit reached!
% 3.46/1.61 % (9837)------------------------------
% 3.46/1.61 % (9837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.46/1.61 % (9837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.46/1.61 % (9837)Termination reason: Unknown
% 3.46/1.61 % (9837)Termination phase: SInE selection
% 3.46/1.61
% 3.46/1.61 % (9837)Memory used [KB]: 12665
% 3.46/1.61 % (9837)Time elapsed: 0.035 s
% 3.46/1.61 % (9837)Instructions burned: 67 (million)
% 3.46/1.61 % (9837)------------------------------
% 3.46/1.61 % (9837)------------------------------
% 3.46/1.61 % (9848)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/488Mi)
% 3.46/1.61 % (9849)dis+1004_1:1_br=off:fsd=on:urr=ec_only:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/93Mi)
% 3.46/1.62 % (9845)Instruction limit reached!
% 3.46/1.62 % (9845)------------------------------
% 3.46/1.62 % (9845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.46/1.62 % (9845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.46/1.62 % (9845)Termination reason: Unknown
% 3.46/1.62 % (9845)Termination phase: SInE selection
% 3.46/1.62
% 3.46/1.62 % (9845)Memory used [KB]: 12537
% 3.46/1.62 % (9845)Time elapsed: 0.015 s
% 3.46/1.62 % (9845)Instructions burned: 21 (million)
% 3.46/1.62 % (9845)------------------------------
% 3.46/1.62 % (9845)------------------------------
% 3.46/1.63 % (9825)Instruction limit reached!
% 3.46/1.63 % (9825)------------------------------
% 3.46/1.63 % (9825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.46/1.63 % (9825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.46/1.63 % (9825)Termination reason: Unknown
% 3.46/1.63 % (9825)Termination phase: Saturation
% 3.46/1.63
% 3.46/1.63 % (9825)Memory used [KB]: 13944
% 3.46/1.63 % (9825)Time elapsed: 0.066 s
% 3.46/1.63 % (9825)Instructions burned: 143 (million)
% 3.46/1.63 % (9825)------------------------------
% 3.46/1.63 % (9825)------------------------------
% 3.46/1.63 % (9831)Instruction limit reached!
% 3.46/1.63 % (9831)------------------------------
% 3.46/1.63 % (9831)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.46/1.63 % (9831)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.46/1.63 % (9831)Termination reason: Unknown
% 3.46/1.63 % (9831)Termination phase: SInE selection
% 3.46/1.63
% 3.46/1.63 % (9831)Memory used [KB]: 12665
% 3.46/1.63 % (9831)Time elapsed: 0.046 s
% 3.46/1.63 % (9831)Instructions burned: 95 (million)
% 3.46/1.63 % (9831)------------------------------
% 3.46/1.63 % (9831)------------------------------
% 3.46/1.64 % (9850)lrs+10_1:8_ep=R:nwc=5.0:rnwc=on:sos=on:urr=on:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/23Mi)
% 3.46/1.64 % (9830)Instruction limit reached!
% 3.46/1.64 % (9830)------------------------------
% 3.46/1.64 % (9830)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.46/1.64 % (9830)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.46/1.64 % (9830)Termination reason: Unknown
% 3.46/1.64 % (9830)Termination phase: SInE selection
% 3.46/1.64
% 3.46/1.64 % (9830)Memory used [KB]: 12665
% 3.46/1.64 % (9830)Time elapsed: 0.073 s
% 3.46/1.64 % (9830)Instructions burned: 131 (million)
% 3.46/1.64 % (9830)------------------------------
% 3.46/1.64 % (9830)------------------------------
% 3.46/1.64 % (9853)dis+1003_1:128_atotf=0.3:bce=on:newcnf=on:urr=on:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/86Mi)
% 3.46/1.65 % (9832)Instruction limit reached!
% 3.46/1.65 % (9832)------------------------------
% 3.46/1.65 % (9832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.46/1.65 % (9832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.46/1.65 % (9832)Termination reason: Unknown
% 3.46/1.65 % (9832)Termination phase: SInE selection
% 3.46/1.65
% 3.46/1.65 % (9832)Memory used [KB]: 12665
% 3.46/1.65 % (9832)Time elapsed: 0.052 s
% 3.46/1.65 % (9832)Instructions burned: 109 (million)
% 3.46/1.65 % (9832)------------------------------
% 3.46/1.65 % (9832)------------------------------
% 3.46/1.65 % (9852)lrs+35_1:2_av=off:bsr=unit_only:flr=on:lcm=predicate:sp=frequency:i=222:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/222Mi)
% 5.08/1.65 % (9851)lrs+1010_1:1_sd=1:sos=on:sp=frequency:ss=included:to=lpo:i=221:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/221Mi)
% 5.08/1.66 % (9856)lrs+10_1:64_plsq=on:plsqr=32,1:sac=on:sos=all:ss=axioms:st=5.0:i=118:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/118Mi)
% 5.08/1.67 % (9855)lrs+11_1:32_awrs=converge:awrsf=32:bd=preordered:drc=off:fd=preordered:flr=on:to=lpo:i=377:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/377Mi)
% 5.26/1.68 % (9850)Instruction limit reached!
% 5.26/1.68 % (9850)------------------------------
% 5.26/1.68 % (9850)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.26/1.68 % (9850)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.26/1.68 % (9850)Termination reason: Unknown
% 5.26/1.68 % (9850)Termination phase: Preprocessing 1
% 5.26/1.68
% 5.26/1.68 % (9850)Memory used [KB]: 13304
% 5.26/1.68 % (9850)Time elapsed: 0.017 s
% 5.26/1.68 % (9850)Instructions burned: 24 (million)
% 5.26/1.68 % (9850)------------------------------
% 5.26/1.68 % (9850)------------------------------
% 5.26/1.68 % (9857)ins+10_1:1_br=off:gs=on:igrr=1/32:igs=34:igwr=on:nm=0:sp=const_min:uhcvi=on:updr=off:urr=ec_only:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/34Mi)
% 5.26/1.68 % (9854)dis+1011_1:1_aac=none:bs=unit_only:ep=RS:gsp=on:nwc=5.0:rnwc=on:s2a=on:s2at=3.0:slsq=on:slsqc=2:slsqr=1,8:i=79:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/79Mi)
% 5.26/1.69 % (9859)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/8Mi)
% 5.26/1.70 % (9844)Instruction limit reached!
% 5.26/1.70 % (9844)------------------------------
% 5.26/1.70 % (9844)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.26/1.70 % (9844)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.26/1.70 % (9844)Termination reason: Unknown
% 5.26/1.70 % (9844)Termination phase: Preprocessing 1
% 5.26/1.70
% 5.26/1.70 % (9844)Memory used [KB]: 19061
% 5.26/1.70 % (9844)Time elapsed: 0.050 s
% 5.26/1.70 % (9844)Instructions burned: 99 (million)
% 5.26/1.70 % (9844)------------------------------
% 5.26/1.70 % (9844)------------------------------
% 5.26/1.70 % (9858)lrs+1011_1:4_av=off:bd=off:drc=off:ins=1:nwc=2.0:spb=goal:tgt=full:to=lpo:i=113:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/113Mi)
% 5.26/1.71 % (9860)lrs+1002_1:1_av=off:gs=on:gsp=on:irw=on:nwc=2.0:sd=2:sos=on:ss=axioms:stl=30:urr=on:i=390:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/390Mi)
% 5.26/1.72 % (9861)ott+1011_1:16_lma=on:nicw=on:sd=7:sp=const_frequency:ss=axioms:st=5.0:urr=ec_only:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/23Mi)
% 5.26/1.72 % (9859)Instruction limit reached!
% 5.26/1.72 % (9859)------------------------------
% 5.26/1.72 % (9859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.26/1.72 % (9859)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.26/1.72 % (9859)Termination reason: Unknown
% 5.26/1.72 % (9859)Termination phase: Preprocessing 1
% 5.26/1.72
% 5.26/1.72 % (9859)Memory used [KB]: 12665
% 5.26/1.72 % (9859)Time elapsed: 0.010 s
% 5.26/1.72 % (9859)Instructions burned: 8 (million)
% 5.26/1.72 % (9859)------------------------------
% 5.26/1.72 % (9859)------------------------------
% 5.26/1.73 % (9863)lrs+10_1:32_abs=on:br=off:urr=ec_only:i=366:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/366Mi)
% 5.61/1.73 % (9836)Instruction limit reached!
% 5.61/1.73 % (9836)------------------------------
% 5.61/1.73 % (9836)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.61/1.73 % (9836)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.61/1.73 % (9836)Termination reason: Unknown
% 5.61/1.73 % (9836)Termination phase: SInE selection
% 5.61/1.73
% 5.61/1.73 % (9836)Memory used [KB]: 12792
% 5.61/1.73 % (9836)Time elapsed: 0.067 s
% 5.61/1.73 % (9836)Instructions burned: 150 (million)
% 5.61/1.73 % (9836)------------------------------
% 5.61/1.73 % (9836)------------------------------
% 5.61/1.74 % (9864)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=424:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/424Mi)
% 5.61/1.75 % (9849)Instruction limit reached!
% 5.61/1.75 % (9849)------------------------------
% 5.61/1.75 % (9849)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.61/1.75 % (9849)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.61/1.75 % (9849)Termination reason: Unknown
% 5.61/1.75 % (9849)Termination phase: Preprocessing 1
% 5.61/1.75
% 5.61/1.75 % (9849)Memory used [KB]: 18933
% 5.61/1.75 % (9849)Time elapsed: 0.064 s
% 5.61/1.75 % (9849)Instructions burned: 93 (million)
% 5.61/1.75 % (9849)------------------------------
% 5.61/1.75 % (9849)------------------------------
% 5.74/1.75 % (9862)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=357:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/357Mi)
% 5.74/1.76 % (9866)lrs+11_1:2_aac=none:acc=on:alpa=true:spb=units:i=288:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/288Mi)
% 5.74/1.76 % (9857)Instruction limit reached!
% 5.74/1.76 % (9857)------------------------------
% 5.74/1.76 % (9857)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.74/1.76 % (9857)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.74/1.76 % (9857)Termination reason: Unknown
% 5.74/1.76 % (9857)Termination phase: Preprocessing 1
% 5.74/1.76
% 5.74/1.76 % (9857)Memory used [KB]: 13944
% 5.74/1.76 % (9857)Time elapsed: 0.021 s
% 5.74/1.76 % (9857)Instructions burned: 34 (million)
% 5.74/1.76 % (9857)------------------------------
% 5.74/1.76 % (9857)------------------------------
% 5.74/1.76 % (9865)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=753:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/753Mi)
% 5.74/1.76 % (9867)lrs+10_1:1_sd=1:sos=on:spb=goal_then_units:ss=included:to=lpo:i=1000:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/1000Mi)
% 5.74/1.76 % (9868)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/149Mi)
% 5.74/1.77 % (9846)Instruction limit reached!
% 5.74/1.77 % (9846)------------------------------
% 5.74/1.77 % (9846)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.74/1.77 % (9846)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.74/1.77 % (9846)Termination reason: Unknown
% 5.74/1.77 % (9846)Termination phase: Preprocessing 1
% 5.74/1.77
% 5.74/1.77 % (9846)Memory used [KB]: 18677
% 5.74/1.77 % (9846)Time elapsed: 0.071 s
% 5.74/1.77 % (9846)Instructions burned: 138 (million)
% 5.74/1.77 % (9846)------------------------------
% 5.74/1.77 % (9846)------------------------------
% 5.74/1.77 % (9853)Instruction limit reached!
% 5.74/1.77 % (9853)------------------------------
% 5.74/1.77 % (9853)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.74/1.77 % (9853)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.74/1.77 % (9853)Termination reason: Unknown
% 5.74/1.77 % (9853)Termination phase: Preprocessing 1
% 5.74/1.77
% 5.74/1.77 % (9853)Memory used [KB]: 18549
% 5.74/1.77 % (9853)Time elapsed: 0.045 s
% 5.74/1.77 % (9853)Instructions burned: 86 (million)
% 5.74/1.77 % (9853)------------------------------
% 5.74/1.77 % (9853)------------------------------
% 5.74/1.77 % (9861)Instruction limit reached!
% 5.74/1.77 % (9861)------------------------------
% 5.74/1.77 % (9861)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.74/1.77 % (9861)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.74/1.77 % (9861)Termination reason: Unknown
% 5.74/1.77 % (9861)Termination phase: SInE selection
% 5.74/1.77
% 5.74/1.77 % (9861)Memory used [KB]: 12537
% 5.74/1.77 % (9861)Time elapsed: 0.017 s
% 5.74/1.77 % (9861)Instructions burned: 25 (million)
% 5.74/1.77 % (9861)------------------------------
% 5.74/1.77 % (9861)------------------------------
% 5.74/1.79 % (9869)lrs+10_5:1_bce=on:bd=off:bsr=unit_only:s2a=on:sos=all:sp=reverse_arity:ss=axioms:st=2.0:to=lpo:urr=on:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/35Mi)
% 5.74/1.79 % (9854)Instruction limit reached!
% 5.74/1.79 % (9854)------------------------------
% 5.74/1.79 % (9854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.74/1.80 % (9854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.74/1.80 % (9854)Termination reason: Unknown
% 5.74/1.80 % (9854)Termination phase: SInE selection
% 5.74/1.80
% 5.74/1.80 % (9854)Memory used [KB]: 12665
% 5.74/1.80 % (9854)Time elapsed: 0.038 s
% 5.74/1.80 % (9854)Instructions burned: 80 (million)
% 5.74/1.80 % (9854)------------------------------
% 5.74/1.80 % (9854)------------------------------
% 5.74/1.81 % (9871)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=300:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/300Mi)
% 6.20/1.82 % (9856)Instruction limit reached!
% 6.20/1.82 % (9856)------------------------------
% 6.20/1.82 % (9856)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.20/1.82 % (9856)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.20/1.82 % (9856)Termination reason: Unknown
% 6.20/1.82 % (9856)Termination phase: SInE selection
% 6.20/1.82
% 6.20/1.82 % (9856)Memory used [KB]: 12665
% 6.20/1.82 % (9856)Time elapsed: 0.052 s
% 6.20/1.82 % (9856)Instructions burned: 120 (million)
% 6.20/1.82 % (9856)------------------------------
% 6.20/1.82 % (9856)------------------------------
% 6.20/1.84 % (9840)Instruction limit reached!
% 6.20/1.84 % (9840)------------------------------
% 6.20/1.84 % (9840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.20/1.84 % (9840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.20/1.84 % (9840)Termination reason: Unknown
% 6.20/1.84 % (9840)Termination phase: Preprocessing 1
% 6.20/1.84
% 6.20/1.84 % (9840)Memory used [KB]: 14839
% 6.20/1.84 % (9840)Time elapsed: 0.102 s
% 6.20/1.84 % (9840)Instructions burned: 237 (million)
% 6.20/1.84 % (9840)------------------------------
% 6.20/1.84 % (9840)------------------------------
% 6.20/1.84 % (9870)dis+1002_1:1_av=off:dr=on:ep=RS:mep=off:newcnf=on:nm=2:nwc=10.0:s2a=on:slsq=on:slsqc=0:slsqr=1,8:i=377:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/377Mi)
% 6.20/1.84 % (9869)Instruction limit reached!
% 6.20/1.84 % (9869)------------------------------
% 6.20/1.84 % (9869)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.20/1.84 % (9869)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.20/1.84 % (9869)Termination reason: Unknown
% 6.20/1.84 % (9869)Termination phase: SInE selection
% 6.20/1.84
% 6.20/1.84 % (9869)Memory used [KB]: 12537
% 6.20/1.84 % (9869)Time elapsed: 0.021 s
% 6.20/1.84 % (9869)Instructions burned: 35 (million)
% 6.20/1.84 % (9869)------------------------------
% 6.20/1.84 % (9869)------------------------------
% 6.20/1.86 % (9872)dis+1002_1:1_nm=0:nwc=2.0:s2a=on:spb=goal_then_units:to=lpo:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/45Mi)
% 6.20/1.86 % (9873)lrs+10_1:8_ep=R:nwc=5.0:rnwc=on:sos=on:urr=on:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/23Mi)
% 6.20/1.86 % (9874)lrs+1011_1:1_aac=none:fs=off:fsr=off:i=136:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/136Mi)
% 6.48/1.89 % (9875)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=91:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/91Mi)
% 6.48/1.89 % (9858)Instruction limit reached!
% 6.48/1.89 % (9858)------------------------------
% 6.48/1.89 % (9858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.48/1.89 % (9858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.48/1.89 % (9858)Termination reason: Unknown
% 6.48/1.89 % (9858)Termination phase: Preprocessing 1
% 6.48/1.89
% 6.48/1.89 % (9858)Memory used [KB]: 19701
% 6.48/1.89 % (9858)Time elapsed: 0.057 s
% 6.48/1.89 % (9858)Instructions burned: 113 (million)
% 6.48/1.89 % (9858)------------------------------
% 6.48/1.89 % (9858)------------------------------
% 6.48/1.90 % (9873)Instruction limit reached!
% 6.48/1.90 % (9873)------------------------------
% 6.48/1.90 % (9873)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.48/1.90 % (9873)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.48/1.90 % (9873)Termination reason: Unknown
% 6.48/1.90 % (9873)Termination phase: Preprocessing 1
% 6.48/1.90
% 6.48/1.90 % (9873)Memory used [KB]: 13432
% 6.48/1.90 % (9873)Time elapsed: 0.018 s
% 6.48/1.90 % (9873)Instructions burned: 24 (million)
% 6.48/1.90 % (9873)------------------------------
% 6.48/1.90 % (9873)------------------------------
% 6.48/1.91 % (9876)lrs+10_1:4_drc=off:sos=on:to=lpo:i=102:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/102Mi)
% 6.48/1.93 % (9877)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=234:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/234Mi)
% 6.48/1.93 % (9879)dis+1011_1:1_aac=none:bs=unit_only:ep=RS:gsp=on:nwc=5.0:rnwc=on:s2a=on:s2at=3.0:slsq=on:slsqc=2:slsqr=1,8:i=290:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/290Mi)
% 6.48/1.94 % (9878)dis+1002_1:2_er=filter:fde=unused:nwc=3.0:sac=on:sp=frequency:ss=included:to=lpo:i=246:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/246Mi)
% 6.48/1.94 % (9872)Instruction limit reached!
% 6.48/1.94 % (9872)------------------------------
% 6.48/1.94 % (9872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.48/1.94 % (9872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.48/1.94 % (9872)Termination reason: Unknown
% 6.48/1.94 % (9872)Termination phase: SInE selection
% 6.48/1.94
% 6.48/1.94 % (9872)Memory used [KB]: 12537
% 6.48/1.94 % (9872)Time elapsed: 0.025 s
% 6.48/1.94 % (9872)Instructions burned: 46 (million)
% 6.48/1.94 % (9872)------------------------------
% 6.48/1.94 % (9872)------------------------------
% 6.91/1.96 % (9880)dis+1010_1:3_av=off:bd=off:bs=on:bsr=on:cond=on:gsp=on:slsq=on:slsqc=1:slsqr=1,4:uwa=all:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/68Mi)
% 6.91/1.97 % (9881)dis+10_1:1_ep=R:fde=none:fsr=off:slsq=on:slsqc=1:slsql=off:slsqr=1,4:ss=axioms:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/248Mi)
% 6.91/1.97 % (9868)Instruction limit reached!
% 6.91/1.97 % (9868)------------------------------
% 6.91/1.97 % (9868)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.08/1.98 % (9851)Instruction limit reached!
% 7.08/1.98 % (9851)------------------------------
% 7.08/1.98 % (9851)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.08/1.98 % (9851)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.08/1.98 % (9851)Termination reason: Unknown
% 7.08/1.98 % (9851)Termination phase: Naming
% 7.08/1.98
% 7.08/1.98 % (9851)Memory used [KB]: 22259
% 7.08/1.98 % (9851)Time elapsed: 0.108 s
% 7.08/1.98 % (9851)Instructions burned: 221 (million)
% 7.08/1.98 % (9851)------------------------------
% 7.08/1.98 % (9851)------------------------------
% 7.08/1.98 % (9868)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.08/1.98 % (9868)Termination reason: Unknown
% 7.08/1.98 % (9868)Termination phase: SInE selection
% 7.08/1.98
% 7.08/1.98 % (9868)Memory used [KB]: 12665
% 7.08/1.98 % (9868)Time elapsed: 0.068 s
% 7.08/1.98 % (9868)Instructions burned: 150 (million)
% 7.08/1.98 % (9868)------------------------------
% 7.08/1.98 % (9868)------------------------------
% 7.08/1.98 % (9839)Instruction limit reached!
% 7.08/1.98 % (9839)------------------------------
% 7.08/1.98 % (9839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.08/1.99 % (9882)lrs+1011_1:5_add=large:afp=4000:anc=none:irw=on:lma=on:nm=64:sac=on:sd=3:sos=on:sp=reverse_arity:ss=axioms:st=2.0:stl=30:updr=off:urr=on:i=126:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/126Mi)
% 7.08/2.00 % (9839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.08/2.00 % (9839)Termination reason: Unknown
% 7.08/2.00 % (9839)Termination phase: Saturation
% 7.08/2.00
% 7.08/2.00 % (9839)Memory used [KB]: 22131
% 7.08/2.00 % (9839)Time elapsed: 0.560 s
% 7.08/2.00 % (9839)Instructions burned: 342 (million)
% 7.08/2.00 % (9839)------------------------------
% 7.08/2.00 % (9839)------------------------------
% 7.08/2.00 % (9852)Instruction limit reached!
% 7.08/2.00 % (9852)------------------------------
% 7.08/2.00 % (9852)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.08/2.00 % (9852)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.08/2.00 % (9852)Termination reason: Unknown
% 7.08/2.00 % (9852)Termination phase: Naming
% 7.08/2.00
% 7.08/2.00 % (9852)Memory used [KB]: 25841
% 7.08/2.00 % (9852)Time elapsed: 0.132 s
% 7.08/2.00 % (9852)Instructions burned: 222 (million)
% 7.08/2.00 % (9852)------------------------------
% 7.08/2.00 % (9852)------------------------------
% 7.30/2.03 % (9884)lrs+1_4:1_cond=fast:fde=unused:lcm=predicate:nm=4:s2a=on:sd=3:sos=on:ss=axioms:st=2.0:i=139:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/139Mi)
% 7.30/2.03 % (9883)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=997:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/997Mi)
% 7.30/2.04 % (9880)Instruction limit reached!
% 7.30/2.04 % (9880)------------------------------
% 7.30/2.04 % (9880)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.30/2.04 % (9880)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.30/2.04 % (9880)Termination reason: Unknown
% 7.30/2.04 % (9880)Termination phase: SInE selection
% 7.30/2.04
% 7.30/2.04 % (9880)Memory used [KB]: 12665
% 7.30/2.04 % (9880)Time elapsed: 0.055 s
% 7.30/2.04 % (9880)Instructions burned: 70 (million)
% 7.30/2.04 % (9880)------------------------------
% 7.30/2.04 % (9880)------------------------------
% 7.45/2.05 % (9875)Instruction limit reached!
% 7.45/2.05 % (9875)------------------------------
% 7.45/2.05 % (9875)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.45/2.05 % (9875)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.45/2.05 % (9875)Termination reason: Unknown
% 7.45/2.05 % (9875)Termination phase: Preprocessing 1
% 7.45/2.05
% 7.45/2.05 % (9875)Memory used [KB]: 18805
% 7.45/2.05 % (9875)Time elapsed: 0.047 s
% 7.45/2.05 % (9875)Instructions burned: 91 (million)
% 7.45/2.05 % (9875)------------------------------
% 7.45/2.05 % (9875)------------------------------
% 7.45/2.07 % (9874)Instruction limit reached!
% 7.45/2.07 % (9874)------------------------------
% 7.45/2.07 % (9874)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.45/2.08 % (9885)ott+4_8:1_acc=on:fsr=off:lcm=reverse:lma=on:sd=2:sos=all:ss=axioms:st=1.5:i=121:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/121Mi)
% 7.45/2.08 % (9874)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.45/2.08 % (9874)Termination reason: Unknown
% 7.45/2.08 % (9874)Termination phase: Preprocessing 1
% 7.45/2.08
% 7.45/2.08 % (9874)Memory used [KB]: 20980
% 7.45/2.08 % (9874)Time elapsed: 0.107 s
% 7.45/2.08 % (9874)Instructions burned: 137 (million)
% 7.45/2.08 % (9874)------------------------------
% 7.45/2.08 % (9874)------------------------------
% 7.45/2.08 % (9876)Instruction limit reached!
% 7.45/2.08 % (9876)------------------------------
% 7.45/2.08 % (9876)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.45/2.10 % (9876)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.45/2.10 % (9876)Termination reason: Unknown
% 7.45/2.10 % (9876)Termination phase: Preprocessing 1
% 7.45/2.10
% 7.45/2.10 % (9876)Memory used [KB]: 19317
% 7.45/2.10 % (9876)Time elapsed: 0.052 s
% 7.45/2.10 % (9876)Instructions burned: 104 (million)
% 7.45/2.10 % (9876)------------------------------
% 7.45/2.10 % (9876)------------------------------
% 7.45/2.10 % (9847)Instruction limit reached!
% 7.45/2.10 % (9847)------------------------------
% 7.45/2.10 % (9847)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.45/2.10 % (9847)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.45/2.10 % (9847)Termination reason: Unknown
% 7.45/2.10 % (9847)Termination phase: Property scanning
% 7.45/2.10
% 7.45/2.10 % (9847)Memory used [KB]: 21364
% 7.45/2.10 % (9847)Time elapsed: 0.165 s
% 7.45/2.10 % (9847)Instructions burned: 393 (million)
% 7.45/2.10 % (9847)------------------------------
% 7.45/2.10 % (9847)------------------------------
% 7.45/2.11 % (9886)lrs+2_1:1_lwlo=on:nwc=10.0:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/92Mi)
% 7.92/2.12 % (9887)lrs+1011_1:1_nwc=5.0:sd=4:ss=included:st=5.0:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/43Mi)
% 7.92/2.13 % (9860)Instruction limit reached!
% 7.92/2.13 % (9860)------------------------------
% 7.92/2.13 % (9860)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.92/2.13 % (9860)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.92/2.13 % (9860)Termination reason: Unknown
% 7.92/2.13 % (9860)Termination phase: Property scanning
% 7.92/2.13
% 7.92/2.13 % (9860)Memory used [KB]: 18805
% 7.92/2.13 % (9860)Time elapsed: 0.231 s
% 7.92/2.13 % (9860)Instructions burned: 392 (million)
% 7.92/2.13 % (9860)------------------------------
% 7.92/2.13 % (9860)------------------------------
% 7.92/2.13 % (9889)lrs+10_1:1_bd=preordered:drc=off:rp=on:sp=frequency:to=lpo:urr=on:i=9:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/9Mi)
% 7.92/2.14 % (9888)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/50Mi)
% 7.92/2.16 % (9890)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=915:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/915Mi)
% 7.92/2.17 % (9882)Instruction limit reached!
% 7.92/2.17 % (9882)------------------------------
% 7.92/2.17 % (9882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.92/2.17 % (9882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.92/2.17 % (9882)Termination reason: Unknown
% 7.92/2.17 % (9882)Termination phase: SInE selection
% 7.92/2.17
% 7.92/2.17 % (9882)Memory used [KB]: 12665
% 7.92/2.17 % (9882)Time elapsed: 0.069 s
% 7.92/2.17 % (9882)Instructions burned: 126 (million)
% 7.92/2.17 % (9882)------------------------------
% 7.92/2.17 % (9882)------------------------------
% 9.15/2.18 % (9889)Instruction limit reached!
% 9.15/2.18 % (9889)------------------------------
% 9.15/2.18 % (9889)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.15/2.18 % (9889)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.15/2.18 % (9889)Termination reason: Unknown
% 9.15/2.18 % (9889)Termination phase: Preprocessing 1
% 9.15/2.18
% 9.15/2.18 % (9889)Memory used [KB]: 12792
% 9.15/2.18 % (9889)Time elapsed: 0.011 s
% 9.15/2.18 % (9889)Instructions burned: 9 (million)
% 9.15/2.18 % (9889)------------------------------
% 9.15/2.18 % (9889)------------------------------
% 9.15/2.19 % (9842)Instruction limit reached!
% 9.15/2.19 % (9842)------------------------------
% 9.15/2.19 % (9842)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.15/2.19 % (9842)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.15/2.19 % (9842)Termination reason: Unknown
% 9.15/2.19 % (9842)Termination phase: Saturation
% 9.15/2.19
% 9.15/2.19 % (9842)Memory used [KB]: 23155
% 9.15/2.19 % (9842)Time elapsed: 0.758 s
% 9.15/2.19 % (9842)Instructions burned: 474 (million)
% 9.15/2.19 % (9842)------------------------------
% 9.15/2.19 % (9842)------------------------------
% 9.15/2.20 % (9891)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=437:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/437Mi)
% 9.15/2.20 % (9887)Instruction limit reached!
% 9.15/2.20 % (9887)------------------------------
% 9.15/2.20 % (9887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.15/2.20 % (9887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.15/2.20 % (9887)Termination reason: Unknown
% 9.15/2.20 % (9887)Termination phase: SInE selection
% 9.15/2.20
% 9.15/2.20 % (9887)Memory used [KB]: 12537
% 9.15/2.20 % (9887)Time elapsed: 0.023 s
% 9.15/2.20 % (9887)Instructions burned: 44 (million)
% 9.15/2.20 % (9887)------------------------------
% 9.15/2.20 % (9887)------------------------------
% 9.15/2.21 % (9892)lrs+10_1:1_aac=none:lcm=reverse:nwc=10.0:sos=on:ss=axioms:st=3.0:i=206:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/206Mi)
% 9.15/2.22 % (9871)Instruction limit reached!
% 9.15/2.22 % (9871)------------------------------
% 9.15/2.22 % (9871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.15/2.22 % (9871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.15/2.22 % (9871)Termination reason: Unknown
% 9.15/2.22 % (9871)Termination phase: Preprocessing 3
% 9.15/2.22
% 9.15/2.22 % (9871)Memory used [KB]: 26737
% 9.15/2.22 % (9871)Time elapsed: 0.215 s
% 9.15/2.22 % (9871)Instructions burned: 300 (million)
% 9.15/2.22 % (9871)------------------------------
% 9.15/2.22 % (9871)------------------------------
% 9.15/2.22 % (9888)Instruction limit reached!
% 9.15/2.22 % (9888)------------------------------
% 9.15/2.22 % (9888)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.15/2.23 % (9888)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.15/2.23 % (9888)Termination reason: Unknown
% 9.15/2.23 % (9888)Termination phase: Preprocessing 1
% 9.15/2.23
% 9.15/2.23 % (9888)Memory used [KB]: 16630
% 9.15/2.23 % (9888)Time elapsed: 0.031 s
% 9.15/2.23 % (9888)Instructions burned: 50 (million)
% 9.15/2.23 % (9888)------------------------------
% 9.15/2.23 % (9888)------------------------------
% 9.15/2.23 % (9866)Instruction limit reached!
% 9.15/2.23 % (9866)------------------------------
% 9.15/2.23 % (9866)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.15/2.23 % (9866)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.15/2.23 % (9866)Termination reason: Unknown
% 9.15/2.23 % (9866)Termination phase: Preprocessing 3
% 9.15/2.23
% 9.15/2.23 % (9866)Memory used [KB]: 26737
% 9.15/2.23 % (9866)Time elapsed: 0.139 s
% 9.15/2.23 % (9866)Instructions burned: 290 (million)
% 9.15/2.23 % (9866)------------------------------
% 9.15/2.23 % (9866)------------------------------
% 9.15/2.23 % (9863)Instruction limit reached!
% 9.15/2.23 % (9863)------------------------------
% 9.15/2.23 % (9863)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.15/2.23 % (9863)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.15/2.23 % (9863)Termination reason: Unknown
% 9.15/2.23 % (9863)Termination phase: Preprocessing 3
% 9.15/2.23
% 9.15/2.23 % (9863)Memory used [KB]: 28144
% 9.15/2.23 % (9863)Time elapsed: 0.179 s
% 9.15/2.23 % (9863)Instructions burned: 366 (million)
% 9.15/2.23 % (9863)------------------------------
% 9.15/2.23 % (9863)------------------------------
% 9.15/2.24 % (9893)dis+11_1:17_bce=on:bsr=unit_only:drc=off:flr=on:gs=on:sp=frequency:spb=units:to=lpo:i=1287:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/1287Mi)
% 9.15/2.25 % (9895)dis+1011_1:1_bd=off:fd=preordered:fde=unused:sfv=off:sos=on:sp=reverse_frequency:spb=goal:to=lpo:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/32Mi)
% 9.15/2.25 % (9885)Instruction limit reached!
% 9.15/2.25 % (9885)------------------------------
% 9.15/2.25 % (9885)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.15/2.25 % (9885)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.15/2.25 % (9885)Termination reason: Unknown
% 9.15/2.25 % (9885)Termination phase: SInE selection
% 9.15/2.25
% 9.15/2.25 % (9885)Memory used [KB]: 12665
% 9.15/2.25 % (9885)Time elapsed: 0.054 s
% 9.15/2.25 % (9885)Instructions burned: 123 (million)
% 9.15/2.25 % (9885)------------------------------
% 9.15/2.25 % (9885)------------------------------
% 9.15/2.25 % (9886)Instruction limit reached!
% 9.15/2.25 % (9886)------------------------------
% 9.15/2.25 % (9886)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.15/2.25 % (9894)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=1501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/1501Mi)
% 9.15/2.25 % (9884)Instruction limit reached!
% 9.15/2.25 % (9884)------------------------------
% 9.15/2.25 % (9884)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.15/2.25 % (9884)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.15/2.25 % (9884)Termination reason: Unknown
% 9.15/2.25 % (9884)Termination phase: SInE selection
% 9.15/2.25
% 9.15/2.25 % (9884)Memory used [KB]: 12665
% 9.15/2.25 % (9884)Time elapsed: 0.063 s
% 9.15/2.25 % (9884)Instructions burned: 140 (million)
% 9.15/2.25 % (9884)------------------------------
% 9.15/2.25 % (9884)------------------------------
% 9.73/2.25 % (9855)Instruction limit reached!
% 9.73/2.25 % (9855)------------------------------
% 9.73/2.25 % (9855)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.73/2.27 % (9877)Instruction limit reached!
% 9.73/2.27 % (9877)------------------------------
% 9.73/2.27 % (9877)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.73/2.27 % (9886)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.73/2.27 % (9886)Termination reason: Unknown
% 9.73/2.27 % (9886)Termination phase: Preprocessing 1
% 9.73/2.27
% 9.73/2.27 % (9886)Memory used [KB]: 18677
% 9.73/2.27 % (9886)Time elapsed: 0.049 s
% 9.73/2.27 % (9886)Instructions burned: 92 (million)
% 9.73/2.27 % (9886)------------------------------
% 9.73/2.27 % (9886)------------------------------
% 9.73/2.27 % (9855)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.73/2.27 % (9855)Termination reason: Unknown
% 9.73/2.27 % (9855)Termination phase: Preprocessing 3
% 9.73/2.27
% 9.73/2.27 % (9855)Memory used [KB]: 28272
% 9.73/2.27 % (9855)Time elapsed: 0.170 s
% 9.73/2.27 % (9855)Instructions burned: 379 (million)
% 9.73/2.27 % (9855)------------------------------
% 9.73/2.27 % (9855)------------------------------
% 9.73/2.28 % (9848)Instruction limit reached!
% 9.73/2.28 % (9848)------------------------------
% 9.73/2.28 % (9848)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.73/2.28 % (9848)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.73/2.28 % (9848)Termination reason: Unknown
% 9.73/2.28 % (9848)Termination phase: Preprocessing 3
% 9.73/2.28
% 9.73/2.28 % (9848)Memory used [KB]: 27121
% 9.73/2.28 % (9848)Time elapsed: 0.210 s
% 9.73/2.28 % (9848)Instructions burned: 489 (million)
% 9.73/2.28 % (9848)------------------------------
% 9.73/2.28 % (9848)------------------------------
% 9.73/2.28 % (9862)Instruction limit reached!
% 9.73/2.28 % (9862)------------------------------
% 9.73/2.28 % (9862)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.73/2.28 % (9862)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.73/2.28 % (9862)Termination reason: Unknown
% 9.73/2.28 % (9862)Termination phase: Preprocessing 3
% 9.73/2.28
% 9.73/2.28 % (9862)Memory used [KB]: 26097
% 9.73/2.28 % (9862)Time elapsed: 0.186 s
% 9.73/2.28 % (9862)Instructions burned: 358 (million)
% 9.73/2.28 % (9862)------------------------------
% 9.73/2.28 % (9862)------------------------------
% 9.73/2.28 % (9877)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.73/2.28 % (9877)Termination reason: Unknown
% 9.73/2.28 % (9877)Termination phase: Naming
% 9.73/2.28
% 9.73/2.28 % (9877)Memory used [KB]: 25969
% 9.73/2.28 % (9877)Time elapsed: 0.110 s
% 9.73/2.28 % (9877)Instructions burned: 234 (million)
% 9.73/2.28 % (9877)------------------------------
% 9.73/2.28 % (9877)------------------------------
% 10.01/2.30 % (9895)Instruction limit reached!
% 10.01/2.30 % (9895)------------------------------
% 10.01/2.30 % (9895)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.01/2.30 % (9896)dis+4_1:64_av=off:bce=on:flr=on:lcm=reverse:sfv=off:sos=all:i=117:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/117Mi)
% 10.01/2.30 % (9895)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.01/2.30 % (9895)Termination reason: Unknown
% 10.01/2.30 % (9895)Termination phase: Preprocessing 1
% 10.01/2.30
% 10.01/2.30 % (9895)Memory used [KB]: 13816
% 10.01/2.30 % (9895)Time elapsed: 0.038 s
% 10.01/2.30 % (9895)Instructions burned: 33 (million)
% 10.01/2.30 % (9895)------------------------------
% 10.01/2.30 % (9895)------------------------------
% 10.01/2.31 % (9864)Instruction limit reached!
% 10.01/2.31 % (9864)------------------------------
% 10.01/2.31 % (9864)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.01/2.31 % (9864)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.01/2.31 % (9864)Termination reason: Unknown
% 10.01/2.31 % (9864)Termination phase: Preprocessing 3
% 10.01/2.31
% 10.01/2.31 % (9864)Memory used [KB]: 26865
% 10.01/2.31 % (9864)Time elapsed: 0.201 s
% 10.01/2.31 % (9864)Instructions burned: 426 (million)
% 10.01/2.31 % (9864)------------------------------
% 10.01/2.31 % (9864)------------------------------
% 10.01/2.31 % (9897)lrs+11_1:1_bd=off:erd=off:plsq=on:plsqr=32,1:sfv=off:sos=all:i=283:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/283Mi)
% 10.01/2.32 % (9898)lrs+10_1:1_bsr=on:lma=on:sac=on:sos=all:spb=units:to=lpo:i=115:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/115Mi)
% 10.01/2.32 % (9878)Instruction limit reached!
% 10.01/2.32 % (9878)------------------------------
% 10.01/2.32 % (9878)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.01/2.32 % (9878)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.01/2.32 % (9878)Termination reason: Unknown
% 10.01/2.32 % (9878)Termination phase: shuffling
% 10.01/2.32
% 10.01/2.32 % (9878)Memory used [KB]: 22131
% 10.01/2.32 % (9878)Time elapsed: 0.112 s
% 10.01/2.32 % (9878)Instructions burned: 247 (million)
% 10.01/2.32 % (9878)------------------------------
% 10.01/2.32 % (9878)------------------------------
% 10.20/2.33 % (9900)lrs+1_1:16_av=off:fd=off:newcnf=on:nm=10:sims=off:sos=on:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/92Mi)
% 10.24/2.34 % (9899)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/93Mi)
% 10.24/2.34 % (9881)Instruction limit reached!
% 10.24/2.34 % (9881)------------------------------
% 10.24/2.34 % (9881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.24/2.34 % (9881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.24/2.34 % (9881)Termination reason: Unknown
% 10.24/2.34 % (9881)Termination phase: Preprocessing 1
% 10.24/2.34
% 10.24/2.34 % (9881)Memory used [KB]: 17270
% 10.24/2.34 % (9881)Time elapsed: 0.111 s
% 10.24/2.34 % (9881)Instructions burned: 249 (million)
% 10.24/2.34 % (9881)------------------------------
% 10.24/2.34 % (9881)------------------------------
% 10.24/2.35 % (9901)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=80:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/80Mi)
% 10.24/2.36 % (9903)lrs+1011_1:1_bd=preordered:drc=off:fd=preordered:fsr=off:plsq=on:i=94:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/94Mi)
% 10.24/2.36 % (9879)Instruction limit reached!
% 10.24/2.36 % (9879)------------------------------
% 10.24/2.36 % (9879)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.24/2.36 % (9879)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.24/2.36 % (9879)Termination reason: Unknown
% 10.24/2.36 % (9879)Termination phase: Preprocessing 1
% 10.24/2.36
% 10.24/2.36 % (9879)Memory used [KB]: 20596
% 10.24/2.36 % (9879)Time elapsed: 0.126 s
% 10.24/2.36 % (9879)Instructions burned: 291 (million)
% 10.24/2.36 % (9879)------------------------------
% 10.24/2.36 % (9879)------------------------------
% 10.24/2.37 % (9902)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=251:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/251Mi)
% 10.24/2.39 % (9905)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=1486:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/1486Mi)
% 10.24/2.39 % (9904)lrs+30_1:3_aac=none:abs=on:avsq=on:avsql=on:avsqr=1,16:er=filter:fde=none:fsr=off:kws=inv_frequency:nwc=5.0:suph=off:i=285:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/285Mi)
% 10.24/2.40 % (9906)dis+1011_1:64_av=off:bce=on:bd=off:bsd=on:cond=on:flr=on:foolp=on:nwc=2.0:plsq=on:plsqc=1:plsqr=37,6:s2agt=32:slsq=on:slsqc=1:slsql=off:slsqr=17,16:tgt=full:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/73Mi)
% 10.24/2.40 % (9907)dis+10_1:1_aac=none:abs=on:bce=on:bd=off:bsr=unit_only:drc=off:fd=preordered:fsd=on:gve=cautious:lcm=reverse:nm=16:plsq=on:plsqc=1:plsqr=232,15:sfv=off:slsq=on:slsql=off:slsqr=3,2:sos=on:sp=weighted_frequency:i=106:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/106Mi)
% 10.44/2.41 % (9909)lrs+1011_1:1_sd=1:ss=axioms:st=5.0:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/103Mi)
% 10.44/2.41 % (9910)lrs+1011_3:1_acc=model:fsr=off:gsp=on:sd=1:ss=axioms:st=5.0:urr=on:i=376:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/376Mi)
% 10.44/2.42 % (9911)lrs+10_1:1_sd=1:sos=all:ss=axioms:i=1345:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/1345Mi)
% 10.44/2.42 % (9908)dis+1002_1:1_ep=R:sd=2:sos=on:ss=axioms:i=1488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/1488Mi)
% 10.44/2.43 % (9870)Instruction limit reached!
% 10.44/2.43 % (9870)------------------------------
% 10.44/2.43 % (9870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.44/2.43 % (9870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.44/2.43 % (9870)Termination reason: Unknown
% 10.44/2.43 % (9870)Termination phase: NewCNF
% 10.44/2.43
% 10.44/2.43 % (9870)Memory used [KB]: 26993
% 10.44/2.43 % (9870)Time elapsed: 0.174 s
% 10.44/2.43 % (9870)Instructions burned: 378 (million)
% 10.44/2.43 % (9870)------------------------------
% 10.44/2.43 % (9870)------------------------------
% 10.44/2.43 % (9912)ott-3_2:1_acc=on:add=large:anc=none:fde=none:gsp=on:irw=on:nm=0:s2a=on:sd=4:sos=on:ss=axioms:st=1.2:urr=on:i=134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/134Mi)
% 10.44/2.46 % (9900)Instruction limit reached!
% 10.44/2.46 % (9900)------------------------------
% 10.44/2.46 % (9900)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.44/2.46 % (9900)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.44/2.46 % (9913)lrs+1002_1:1_av=off:gs=on:gsp=on:irw=on:nwc=2.0:sd=2:sos=on:ss=axioms:stl=30:urr=on:i=1498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/1498Mi)
% 10.44/2.46 % (9900)Termination reason: Unknown
% 10.44/2.46 % (9900)Termination phase: Preprocessing 1
% 10.44/2.46
% 10.44/2.46 % (9900)Memory used [KB]: 18805
% 10.44/2.46 % (9900)Time elapsed: 0.087 s
% 10.44/2.46 % (9900)Instructions burned: 92 (million)
% 10.44/2.46 % (9900)------------------------------
% 10.44/2.46 % (9900)------------------------------
% 10.44/2.46 % (9901)Instruction limit reached!
% 10.44/2.46 % (9901)------------------------------
% 10.44/2.46 % (9901)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.44/2.46 % (9896)Instruction limit reached!
% 10.44/2.46 % (9896)------------------------------
% 10.44/2.46 % (9896)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.44/2.46 % (9896)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.44/2.46 % (9896)Termination reason: Unknown
% 10.44/2.46 % (9896)Termination phase: Preprocessing 1
% 10.44/2.46
% 10.44/2.46 % (9896)Memory used [KB]: 20084
% 10.44/2.46 % (9896)Time elapsed: 0.057 s
% 10.44/2.46 % (9896)Instructions burned: 117 (million)
% 10.44/2.46 % (9896)------------------------------
% 10.44/2.46 % (9896)------------------------------
% 10.60/2.47 % (9901)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.60/2.47 % (9901)Termination reason: Unknown
% 10.60/2.47 % (9901)Termination phase: SInE selection
% 10.60/2.47
% 10.60/2.47 % (9901)Memory used [KB]: 12665
% 10.60/2.47 % (9901)Time elapsed: 0.037 s
% 10.60/2.47 % (9901)Instructions burned: 81 (million)
% 10.60/2.47 % (9901)------------------------------
% 10.60/2.47 % (9901)------------------------------
% 10.60/2.47 % (9914)dis+1002_1:5_acc=on:afp=1010:fsr=off:gsp=on:nm=10:sac=on:sos=on:sp=unary_first:urr=ec_only:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/177Mi)
% 10.60/2.48 % (9899)Instruction limit reached!
% 10.60/2.48 % (9899)------------------------------
% 10.60/2.48 % (9899)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.60/2.48 % (9899)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.60/2.48 % (9899)Termination reason: Unknown
% 10.60/2.48 % (9899)Termination phase: SInE selection
% 10.60/2.48
% 10.60/2.48 % (9899)Memory used [KB]: 12665
% 10.60/2.48 % (9899)Time elapsed: 0.045 s
% 10.60/2.48 % (9899)Instructions burned: 96 (million)
% 10.60/2.48 % (9899)------------------------------
% 10.60/2.48 % (9899)------------------------------
% 10.60/2.50 % (9892)Instruction limit reached!
% 10.60/2.50 % (9892)------------------------------
% 10.60/2.50 % (9892)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.60/2.50 % (9892)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.60/2.50 % (9892)Termination reason: Unknown
% 10.60/2.50 % (9892)Termination phase: Preprocessing 1
% 10.60/2.50
% 10.60/2.50 % (9892)Memory used [KB]: 17398
% 10.60/2.50 % (9892)Time elapsed: 0.088 s
% 10.60/2.50 % (9892)Instructions burned: 207 (million)
% 10.60/2.50 % (9892)------------------------------
% 10.60/2.50 % (9892)------------------------------
% 10.60/2.50 % (9915)fmb+10_1:1_fmbsr=1.2:rp=on:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/82Mi)
% 10.60/2.51 % (9898)Instruction limit reached!
% 10.60/2.51 % (9898)------------------------------
% 10.60/2.51 % (9898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.60/2.51 % (9898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.60/2.51 % (9898)Termination reason: Unknown
% 10.60/2.51 % (9898)Termination phase: Preprocessing 1
% 10.60/2.51
% 10.60/2.51 % (9898)Memory used [KB]: 19957
% 10.60/2.51 % (9898)Time elapsed: 0.058 s
% 10.60/2.51 % (9898)Instructions burned: 116 (million)
% 10.60/2.51 % (9898)------------------------------
% 10.60/2.51 % (9898)------------------------------
% 10.60/2.51 % (9906)Instruction limit reached!
% 10.60/2.51 % (9906)------------------------------
% 10.60/2.51 % (9906)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.60/2.53 % (9906)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.60/2.53 % (9906)Termination reason: Unknown
% 10.60/2.53 % (9906)Termination phase: SInE selection
% 10.60/2.53
% 10.60/2.53 % (9906)Memory used [KB]: 12665
% 10.60/2.53 % (9906)Time elapsed: 0.036 s
% 10.60/2.53 % (9906)Instructions burned: 74 (million)
% 10.60/2.53 % (9906)------------------------------
% 10.60/2.53 % (9906)------------------------------
% 10.60/2.53 % (9903)Instruction limit reached!
% 10.60/2.53 % (9903)------------------------------
% 10.60/2.53 % (9903)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.60/2.53 % (9903)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.60/2.53 % (9903)Termination reason: Unknown
% 10.60/2.53 % (9903)Termination phase: Preprocessing 1
% 10.60/2.53
% 10.60/2.53 % (9903)Memory used [KB]: 18677
% 10.60/2.53 % (9903)Time elapsed: 0.048 s
% 10.60/2.53 % (9903)Instructions burned: 96 (million)
% 10.60/2.53 % (9903)------------------------------
% 10.60/2.53 % (9903)------------------------------
% 10.60/2.53 % (9909)Instruction limit reached!
% 10.60/2.53 % (9909)------------------------------
% 10.60/2.53 % (9909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.60/2.53 % (9909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.60/2.53 % (9909)Termination reason: Unknown
% 10.60/2.53 % (9909)Termination phase: SInE selection
% 10.60/2.53
% 10.60/2.53 % (9909)Memory used [KB]: 12665
% 10.60/2.53 % (9909)Time elapsed: 0.045 s
% 10.60/2.53 % (9909)Instructions burned: 103 (million)
% 10.60/2.53 % (9909)------------------------------
% 10.60/2.53 % (9909)------------------------------
% 10.60/2.55 % (9916)lrs+1002_1:1_fde=none:sd=2:sos=on:sp=const_max:ss=axioms:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/274Mi)
% 11.39/2.58 % (9907)Instruction limit reached!
% 11.39/2.58 % (9907)------------------------------
% 11.39/2.58 % (9907)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.39/2.58 % (9907)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.39/2.58 % (9907)Termination reason: Unknown
% 11.39/2.58 % (9907)Termination phase: Preprocessing 1
% 11.39/2.58
% 11.39/2.58 % (9907)Memory used [KB]: 12792
% 11.39/2.58 % (9907)Time elapsed: 0.050 s
% 11.39/2.58 % (9907)Instructions burned: 107 (million)
% 11.39/2.58 % (9907)------------------------------
% 11.39/2.58 % (9907)------------------------------
% 11.39/2.59 % (9917)lrs+1011_1:5_av=off:awrs=decay:awrsf=97:bce=on:bsr=on:drc=off:flr=on:gs=on:ins=3:lwlo=on:newcnf=on:nm=0:plsq=on:plsqr=4437,256:s2a=on:s2at=4.0:s2pl=no:sims=off:skr=on:slsq=on:slsqc=0:slsqr=31,16:sos=all:sp=frequency:updr=off:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/176Mi)
% 11.54/2.60 % (9919)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=156:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/156Mi)
% 11.54/2.61 % (9921)dis+10_1:1_av=off:ep=RS:lcm=reverse:newcnf=on:s2a=on:s2at=3.0:i=2681:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/2681Mi)
% 11.54/2.61 % (9918)dis+1011_1:32_bd=off:fde=unused:plsq=on:plsqc=2:plsqr=175,8:s2a=on:sp=frequency:spb=goal:ss=included:st=2.0:to=lpo:i=669:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/669Mi)
% 11.54/2.62 % (9920)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=1735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/1735Mi)
% 11.54/2.63 % (9912)Instruction limit reached!
% 11.54/2.63 % (9912)------------------------------
% 11.54/2.63 % (9912)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.66/2.64 % (9912)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.66/2.64 % (9912)Termination reason: Unknown
% 11.66/2.64 % (9912)Termination phase: SInE selection
% 11.66/2.64
% 11.66/2.64 % (9912)Memory used [KB]: 12665
% 11.66/2.64 % (9912)Time elapsed: 0.061 s
% 11.66/2.64 % (9912)Instructions burned: 134 (million)
% 11.66/2.64 % (9912)------------------------------
% 11.66/2.64 % (9912)------------------------------
% 11.66/2.64 % (9922)dis+10_1:1_lma=on:sac=on:sos=all:spb=goal_then_units:ss=axioms:to=lpo:i=432:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/432Mi)
% 11.66/2.64 % (9915)Instruction limit reached!
% 11.66/2.64 % (9915)------------------------------
% 11.66/2.64 % (9915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.66/2.65 % (9915)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.66/2.65 % (9915)Termination reason: Unknown
% 11.66/2.65 % (9915)Termination phase: Preprocessing 1
% 11.66/2.65
% 11.66/2.65 % (9915)Memory used [KB]: 18166
% 11.66/2.65 % (9915)Time elapsed: 0.042 s
% 11.66/2.65 % (9915)Instructions burned: 82 (million)
% 11.66/2.65 % (9915)------------------------------
% 11.66/2.65 % (9915)------------------------------
% 11.66/2.66 % (9925)lrs+11_1:1_ss=included:st=2.0:i=503:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/503Mi)
% 11.66/2.67 % (9923)lrs+11_1:1_bsr=unit_only:flr=on:to=lpo:i=440:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/440Mi)
% 11.66/2.68 % (9924)lrs+10_1:1_sd=1:sos=on:ss=included:i=3303:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/3303Mi)
% 11.66/2.68 % (9926)lrs+10_1:1_sos=on:ss=included:st=1.2:urr=on:i=236:si=on:rawr=on:rtra=on_0 on theBenchmark for (2977ds/236Mi)
% 13.46/2.73 % (9897)Instruction limit reached!
% 13.46/2.73 % (9897)------------------------------
% 13.46/2.73 % (9897)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.46/2.73 % (9897)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.46/2.73 % (9897)Termination reason: Unknown
% 13.46/2.73 % (9897)Termination phase: Preprocessing 3
% 13.46/2.73
% 13.46/2.73 % (9897)Memory used [KB]: 26481
% 13.46/2.73 % (9897)Time elapsed: 0.134 s
% 13.46/2.73 % (9897)Instructions burned: 284 (million)
% 13.46/2.73 % (9897)------------------------------
% 13.46/2.73 % (9897)------------------------------
% 13.46/2.76 % (9865)Instruction limit reached!
% 13.46/2.76 % (9865)------------------------------
% 13.46/2.76 % (9865)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.46/2.76 % (9865)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.46/2.76 % (9865)Termination reason: Unknown
% 13.46/2.76 % (9865)Termination phase: Preprocessing 3
% 13.46/2.76
% 13.46/2.76 % (9865)Memory used [KB]: 39274
% 13.46/2.76 % (9865)Time elapsed: 0.343 s
% 13.46/2.76 % (9865)Instructions burned: 755 (million)
% 13.46/2.76 % (9865)------------------------------
% 13.46/2.76 % (9865)------------------------------
% 13.46/2.76 % (9914)Instruction limit reached!
% 13.46/2.76 % (9914)------------------------------
% 13.46/2.76 % (9914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.46/2.76 % (9914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.46/2.76 % (9914)Termination reason: Unknown
% 13.46/2.76 % (9914)Termination phase: Preprocessing 1
% 13.46/2.76
% 13.46/2.76 % (9914)Memory used [KB]: 23155
% 13.46/2.76 % (9914)Time elapsed: 0.087 s
% 13.46/2.76 % (9914)Instructions burned: 179 (million)
% 13.46/2.76 % (9914)------------------------------
% 13.46/2.76 % (9914)------------------------------
% 13.46/2.77 % (9902)Instruction limit reached!
% 13.46/2.77 % (9902)------------------------------
% 13.46/2.77 % (9902)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.46/2.77 % (9902)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.46/2.77 % (9902)Termination reason: Unknown
% 13.46/2.77 % (9902)Termination phase: Preprocessing 3
% 13.46/2.77
% 13.46/2.77 % (9902)Memory used [KB]: 26097
% 13.46/2.77 % (9902)Time elapsed: 0.140 s
% 13.46/2.77 % (9902)Instructions burned: 252 (million)
% 13.46/2.77 % (9902)------------------------------
% 13.46/2.77 % (9902)------------------------------
% 13.46/2.77 % (9927)lrs+11_3:1_br=off:flr=on:sgt=8:ss=axioms:urr=on:i=128:si=on:rawr=on:rtra=on_0 on theBenchmark for (2976ds/128Mi)
% 13.92/2.78 % (9928)dis+1002_1:1_ep=RS:erd=off:sac=on:sos=on:i=2543:si=on:rawr=on:rtra=on_0 on theBenchmark for (2976ds/2543Mi)
% 13.92/2.79 % (9891)Instruction limit reached!
% 13.92/2.79 % (9891)------------------------------
% 13.92/2.79 % (9891)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.92/2.79 % (9891)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.92/2.79 % (9891)Termination reason: Unknown
% 13.92/2.79 % (9891)Termination phase: Preprocessing 3
% 13.92/2.79
% 13.92/2.79 % (9891)Memory used [KB]: 24690
% 13.92/2.79 % (9891)Time elapsed: 0.205 s
% 13.92/2.79 % (9891)Instructions burned: 439 (million)
% 13.92/2.79 % (9891)------------------------------
% 13.92/2.79 % (9891)------------------------------
% 13.92/2.83 % (9929)dis+1002_1:1_nm=0:nwc=2.0:s2a=on:spb=goal_then_units:to=lpo:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2976ds/45Mi)
% 13.92/2.84 % (9917)Instruction limit reached!
% 13.92/2.84 % (9917)------------------------------
% 13.92/2.84 % (9917)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.92/2.84 % (9917)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.92/2.84 % (9917)Termination reason: Unknown
% 13.92/2.84 % (9917)Termination phase: Preprocessing 1
% 13.92/2.84
% 13.92/2.84 % (9917)Memory used [KB]: 13176
% 13.92/2.84 % (9917)Time elapsed: 0.074 s
% 13.92/2.84 % (9917)Instructions burned: 177 (million)
% 13.92/2.84 % (9917)------------------------------
% 13.92/2.84 % (9917)------------------------------
% 13.92/2.84 % (9904)Instruction limit reached!
% 13.92/2.84 % (9904)------------------------------
% 13.92/2.84 % (9904)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.92/2.84 % (9904)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.92/2.84 % (9904)Termination reason: Unknown
% 13.92/2.84 % (9904)Termination phase: Preprocessing 3
% 13.92/2.84
% 13.92/2.84 % (9904)Memory used [KB]: 26481
% 13.92/2.84 % (9904)Time elapsed: 0.155 s
% 13.92/2.84 % (9904)Instructions burned: 287 (million)
% 13.92/2.84 % (9904)------------------------------
% 13.92/2.84 % (9904)------------------------------
% 13.92/2.85 % (9919)Instruction limit reached!
% 13.92/2.85 % (9919)------------------------------
% 13.92/2.85 % (9919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.92/2.85 % (9919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.92/2.85 % (9919)Termination reason: Unknown
% 13.92/2.85 % (9919)Termination phase: Preprocessing 1
% 13.92/2.85
% 13.92/2.85 % (9919)Memory used [KB]: 18293
% 13.92/2.85 % (9919)Time elapsed: 0.072 s
% 13.92/2.85 % (9919)Instructions burned: 157 (million)
% 13.92/2.85 % (9919)------------------------------
% 13.92/2.85 % (9919)------------------------------
% 14.61/2.88 % (9930)dis+1010_1:1_acc=model:bd=off:ins=1:nwc=5.0:sp=reverse_frequency:to=lpo:i=279:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/279Mi)
% 14.72/2.89 % (9910)Instruction limit reached!
% 14.72/2.89 % (9910)------------------------------
% 14.72/2.89 % (9910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.72/2.89 % (9910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.72/2.89 % (9910)Termination reason: Unknown
% 14.72/2.89 % (9910)Termination phase: General splitting
% 14.72/2.89
% 14.72/2.89 % (9910)Memory used [KB]: 17654
% 14.72/2.89 % (9910)Time elapsed: 0.158 s
% 14.72/2.89 % (9910)Instructions burned: 378 (million)
% 14.72/2.89 % (9910)------------------------------
% 14.72/2.89 % (9910)------------------------------
% 14.72/2.90 % (9929)Instruction limit reached!
% 14.72/2.90 % (9929)------------------------------
% 14.72/2.90 % (9929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.72/2.90 % (9929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.72/2.90 % (9929)Termination reason: Unknown
% 14.72/2.90 % (9929)Termination phase: SInE selection
% 14.72/2.90
% 14.72/2.90 % (9929)Memory used [KB]: 12537
% 14.72/2.90 % (9929)Time elapsed: 0.046 s
% 14.72/2.90 % (9929)Instructions burned: 45 (million)
% 14.72/2.90 % (9929)------------------------------
% 14.72/2.90 % (9929)------------------------------
% 14.72/2.91 % (9931)lrs+0_1:1_br=off:drc=off:erd=off:urr=ec_only:i=997:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/997Mi)
% 14.72/2.91 % (9916)Instruction limit reached!
% 14.72/2.91 % (9916)------------------------------
% 14.72/2.91 % (9916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.97/2.92 % (9916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.97/2.92 % (9916)Termination reason: Unknown
% 14.97/2.92 % (9916)Termination phase: Property scanning
% 14.97/2.92
% 14.97/2.92 % (9916)Memory used [KB]: 18677
% 14.97/2.92 % (9916)Time elapsed: 0.109 s
% 14.97/2.92 % (9916)Instructions burned: 277 (million)
% 14.97/2.92 % (9916)------------------------------
% 14.97/2.92 % (9916)------------------------------
% 15.05/2.94 % (9932)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=121:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/121Mi)
% 15.05/2.95 % (9933)lrs+10_1:32_br=off:gsp=on:nm=6:nwc=5.0:urr=on:i=53:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/53Mi)
% 15.05/2.97 % (9867)Instruction limit reached!
% 15.05/2.97 % (9867)------------------------------
% 15.05/2.97 % (9867)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.05/2.97 % (9867)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.05/2.97 % (9867)Termination reason: Unknown
% 15.05/2.97 % (9867)Termination phase: Property scanning
% 15.05/2.97
% 15.05/2.97 % (9867)Memory used [KB]: 32622
% 15.05/2.97 % (9867)Time elapsed: 0.375 s
% 15.05/2.97 % (9867)Instructions burned: 1002 (million)
% 15.05/2.97 % (9867)------------------------------
% 15.05/2.97 % (9867)------------------------------
% 15.05/2.97 % (9934)lrs+1011_1:1_aac=none:fs=off:fsr=off:i=265:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/265Mi)
% 15.05/2.98 % (9927)Instruction limit reached!
% 15.05/2.98 % (9927)------------------------------
% 15.05/2.98 % (9927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.05/2.98 % (9927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.05/2.98 % (9927)Termination reason: Unknown
% 15.05/2.98 % (9927)Termination phase: Preprocessing 1
% 15.05/2.98
% 15.05/2.98 % (9927)Memory used [KB]: 14456
% 15.05/2.98 % (9927)Time elapsed: 0.060 s
% 15.05/2.98 % (9927)Instructions burned: 128 (million)
% 15.05/2.98 % (9927)------------------------------
% 15.05/2.98 % (9927)------------------------------
% 15.05/2.98 % (9935)dis+10_1:5_bsr=on:drc=off:ins=1:nwc=2.8:sp=reverse_frequency:to=lpo:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2974ds/84Mi)
% 15.05/2.99 % (9936)lrs+1011_1:1_acc=model:avsq=on:bd=off:flr=on:fsd=on:gs=on:newcnf=on:plsq=on:plsql=on:plsqr=1,32:s2a=on:s2at=3.0:sac=on:skr=on:sos=on:sp=occurrence:updr=off:i=162:si=on:rawr=on:rtra=on_0 on theBenchmark for (2974ds/162Mi)
% 15.43/3.02 % (9938)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=3040:si=on:rawr=on:rtra=on_0 on theBenchmark for (2974ds/3040Mi)
% 15.43/3.04 % (9937)dis+1011_1:1_aac=none:bs=unit_only:ep=RS:gsp=on:nwc=5.0:rnwc=on:s2a=on:s2at=3.0:slsq=on:slsqc=2:slsqr=1,8:i=1290:si=on:rawr=on:rtra=on_0 on theBenchmark for (2974ds/1290Mi)
% 15.43/3.04 % (9926)Instruction limit reached!
% 15.43/3.04 % (9926)------------------------------
% 15.43/3.04 % (9926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.43/3.04 % (9926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.43/3.04 % (9926)Termination reason: Unknown
% 15.43/3.04 % (9926)Termination phase: Preprocessing 1
% 15.43/3.04
% 15.43/3.04 % (9926)Memory used [KB]: 20340
% 15.43/3.04 % (9926)Time elapsed: 0.102 s
% 15.43/3.04 % (9926)Instructions burned: 237 (million)
% 15.43/3.04 % (9926)------------------------------
% 15.43/3.04 % (9926)------------------------------
% 15.43/3.04 % (9933)Instruction limit reached!
% 15.43/3.04 % (9933)------------------------------
% 15.43/3.04 % (9933)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.43/3.04 % (9933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.43/3.04 % (9933)Termination reason: Unknown
% 15.43/3.04 % (9933)Termination phase: Preprocessing 1
% 15.43/3.04
% 15.43/3.04 % (9933)Memory used [KB]: 16758
% 15.43/3.04 % (9933)Time elapsed: 0.032 s
% 15.43/3.04 % (9933)Instructions burned: 55 (million)
% 15.43/3.04 % (9933)------------------------------
% 15.43/3.04 % (9933)------------------------------
% 15.43/3.06 % (9939)dis+10_1:4_abs=on:bsd=on:fsd=on:nwc=3.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,8:i=192:si=on:rawr=on:rtra=on_0 on theBenchmark for (2974ds/192Mi)
% 15.84/3.10 % (9890)Instruction limit reached!
% 15.84/3.10 % (9890)------------------------------
% 15.84/3.10 % (9890)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.84/3.10 % (9890)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.84/3.10 % (9890)Termination reason: Unknown
% 15.84/3.10 % (9890)Termination phase: Property scanning
% 15.84/3.10
% 15.84/3.10 % (9890)Memory used [KB]: 25330
% 15.84/3.10 % (9890)Time elapsed: 0.439 s
% 15.84/3.10 % (9890)Instructions burned: 916 (million)
% 15.84/3.10 % (9890)------------------------------
% 15.84/3.10 % (9890)------------------------------
% 15.84/3.11 % (9932)Instruction limit reached!
% 15.84/3.11 % (9932)------------------------------
% 15.84/3.11 % (9932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.84/3.12 % (9940)dis+11_1:1_av=off:bd=off:br=off:erd=off:ins=1:nm=0:nwc=3.0:s2a=on:slsq=on:slsqc=2:slsqr=1,2:urr=on:i=163:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/163Mi)
% 15.84/3.12 % (9941)ins+10_1:1_br=off:gs=on:igrr=1/32:igs=34:igwr=on:nm=0:sp=const_min:uhcvi=on:updr=off:urr=ec_only:i=201:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/201Mi)
% 15.84/3.12 % (9932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.84/3.12 % (9932)Termination reason: Unknown
% 15.84/3.12 % (9932)Termination phase: Preprocessing 1
% 15.84/3.12
% 15.84/3.12 % (9932)Memory used [KB]: 14072
% 15.84/3.12 % (9932)Time elapsed: 0.058 s
% 15.84/3.12 % (9935)Instruction limit reached!
% 15.84/3.12 % (9935)------------------------------
% 15.84/3.12 % (9935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.84/3.12 % (9932)Instructions burned: 123 (million)
% 15.84/3.12 % (9935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.84/3.12 % (9935)Termination reason: Unknown
% 15.84/3.12 % (9935)Termination phase: Preprocessing 1
% 15.84/3.12
% 15.84/3.12 % (9935)Memory used [KB]: 18421
% 15.84/3.12 % (9935)Time elapsed: 0.044 s
% 15.84/3.12 % (9935)Instructions burned: 85 (million)
% 15.84/3.12 % (9935)------------------------------
% 15.84/3.12 % (9935)------------------------------
% 15.84/3.12 % (9932)------------------------------
% 15.84/3.12 % (9932)------------------------------
% 16.51/3.19 % (9942)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=3643:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/3643Mi)
% 16.51/3.19 % (9943)lrs+10_1:6_bd=off:drc=off:tgt=full:i=729:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/729Mi)
% 16.51/3.21 % (9936)Instruction limit reached!
% 16.51/3.21 % (9936)------------------------------
% 16.51/3.21 % (9936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.64/3.23 % (9936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.64/3.23 % (9936)Termination reason: Unknown
% 16.64/3.23 % (9936)Termination phase: SInE selection
% 16.64/3.23
% 16.64/3.23 % (9936)Memory used [KB]: 12792
% 16.64/3.23 % (9936)Time elapsed: 0.068 s
% 16.64/3.23 % (9936)Instructions burned: 164 (million)
% 16.64/3.23 % (9936)------------------------------
% 16.64/3.23 % (9936)------------------------------
% 17.62/3.24 % (9922)Instruction limit reached!
% 17.62/3.24 % (9922)------------------------------
% 17.62/3.24 % (9922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.62/3.24 % (9922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.62/3.24 % (9922)Termination reason: Unknown
% 17.62/3.24 % (9922)Termination phase: Property scanning
% 17.62/3.24
% 17.62/3.24 % (9922)Memory used [KB]: 23411
% 17.62/3.24 % (9922)Time elapsed: 0.181 s
% 17.62/3.24 % (9922)Instructions burned: 434 (million)
% 17.62/3.24 % (9922)------------------------------
% 17.62/3.24 % (9922)------------------------------
% 17.62/3.25 % (9944)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/292Mi)
% 17.62/3.25 % (9945)dis+1011_1:64_av=off:bce=on:bd=off:bsd=on:cond=on:flr=on:foolp=on:nwc=2.0:plsq=on:plsqc=1:plsqr=37,6:s2agt=32:slsq=on:slsqc=1:slsql=off:slsqr=17,16:tgt=full:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/73Mi)
% 17.62/3.27 % (9946)lrs+21_1:8_av=off:bs=unit_only:drc=off:flr=on:lwlo=on:nwc=10.0:slsq=on:slsqr=1,4:tgt=ground:to=lpo:urr=on:i=1174:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/1174Mi)
% 17.62/3.27 % (9930)Instruction limit reached!
% 17.62/3.27 % (9930)------------------------------
% 17.62/3.27 % (9930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.62/3.27 % (9930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.62/3.27 % (9930)Termination reason: Unknown
% 17.62/3.27 % (9930)Termination phase: Preprocessing 3
% 17.62/3.27
% 17.62/3.27 % (9930)Memory used [KB]: 26609
% 17.62/3.27 % (9930)Time elapsed: 0.209 s
% 17.62/3.27 % (9930)Instructions burned: 281 (million)
% 17.62/3.27 % (9930)------------------------------
% 17.62/3.27 % (9930)------------------------------
% 17.62/3.29 % (9923)Instruction limit reached!
% 17.62/3.29 % (9923)------------------------------
% 17.62/3.29 % (9923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.62/3.30 % (9923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.62/3.30 % (9923)Termination reason: Unknown
% 17.62/3.30 % (9923)Termination phase: Preprocessing 3
% 17.62/3.30
% 17.62/3.30 % (9923)Memory used [KB]: 33389
% 17.62/3.30 % (9923)Time elapsed: 0.196 s
% 17.62/3.30 % (9923)Instructions burned: 441 (million)
% 17.62/3.30 % (9923)------------------------------
% 17.62/3.30 % (9923)------------------------------
% 18.22/3.35 % (9940)Instruction limit reached!
% 18.22/3.35 % (9940)------------------------------
% 18.22/3.35 % (9940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.22/3.35 % (9940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.22/3.35 % (9940)Termination reason: Unknown
% 18.22/3.35 % (9940)Termination phase: Preprocessing 1
% 18.22/3.35
% 18.22/3.35 % (9940)Memory used [KB]: 17398
% 18.22/3.35 % (9940)Time elapsed: 0.083 s
% 18.22/3.35 % (9940)Instructions burned: 165 (million)
% 18.22/3.35 % (9940)------------------------------
% 18.22/3.35 % (9940)------------------------------
% 18.22/3.36 % (9947)dis+10_1:1024_br=off:nwc=3.0:plsq=on:plsqc=2:plsqr=7,4:urr=on:i=348:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/348Mi)
% 18.22/3.37 % (9945)Instruction limit reached!
% 18.22/3.37 % (9945)------------------------------
% 18.22/3.37 % (9945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.22/3.37 % (9945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.22/3.37 % (9945)Termination reason: Unknown
% 18.22/3.37 % (9945)Termination phase: SInE selection
% 18.22/3.37
% 18.22/3.37 % (9945)Memory used [KB]: 12665
% 18.22/3.37 % (9945)Time elapsed: 0.043 s
% 18.22/3.37 % (9945)Instructions burned: 73 (million)
% 18.22/3.37 % (9945)------------------------------
% 18.22/3.37 % (9945)------------------------------
% 18.22/3.37 % (9939)Instruction limit reached!
% 18.22/3.37 % (9939)------------------------------
% 18.22/3.37 % (9939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.22/3.37 % (9939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.22/3.37 % (9939)Termination reason: Unknown
% 18.22/3.37 % (9939)Termination phase: Preprocessing 1
% 18.22/3.37
% 18.22/3.37 % (9939)Memory used [KB]: 18677
% 18.22/3.37 % (9939)Time elapsed: 0.089 s
% 18.22/3.37 % (9939)Instructions burned: 194 (million)
% 18.22/3.37 % (9939)------------------------------
% 18.22/3.37 % (9939)------------------------------
% 18.22/3.38 % (9925)Instruction limit reached!
% 18.22/3.38 % (9925)------------------------------
% 18.22/3.38 % (9925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.22/3.38 % (9925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.22/3.38 % (9925)Termination reason: Unknown
% 18.22/3.38 % (9925)Termination phase: Preprocessing 3
% 18.22/3.38
% 18.22/3.38 % (9925)Memory used [KB]: 27760
% 18.22/3.38 % (9925)Time elapsed: 0.253 s
% 18.22/3.38 % (9925)Instructions burned: 503 (million)
% 18.22/3.38 % (9925)------------------------------
% 18.22/3.38 % (9925)------------------------------
% 18.73/3.39 % (9949)lrs+10_1:1_anc=all:br=off:newcnf=on:s2a=on:s2at=2.0:sac=on:sd=1:ss=included:urr=on:i=3380:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/3380Mi)
% 18.73/3.40 % (9948)lrs+31_1:1_fs=off:fsr=off:kws=precedence:i=772:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/772Mi)
% 18.73/3.41 % (9934)Instruction limit reached!
% 18.73/3.41 % (9934)------------------------------
% 18.73/3.41 % (9934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.73/3.41 % (9934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.73/3.41 % (9934)Termination reason: Unknown
% 18.73/3.41 % (9934)Termination phase: Preprocessing 3
% 18.73/3.41
% 18.73/3.41 % (9934)Memory used [KB]: 26353
% 18.73/3.41 % (9934)Time elapsed: 0.134 s
% 18.73/3.41 % (9934)Instructions burned: 267 (million)
% 18.73/3.41 % (9934)------------------------------
% 18.73/3.41 % (9934)------------------------------
% 18.73/3.44 % (9950)dis+1010_1:1024_av=off:awrs=converge:awrsf=256:bce=on:bsr=on:fde=unused:gs=on:ins=1:nwc=3.0:s2a=on:skr=on:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/388Mi)
% 18.73/3.45 % (9941)Instruction limit reached!
% 18.73/3.45 % (9941)------------------------------
% 18.73/3.45 % (9941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.73/3.45 % (9951)ott+10_1:1_av=off:br=off:bsd=on:drc=off:s2a=on:sos=all:sp=reverse_arity:spb=goal:to=lpo:urr=on:i=198:si=on:rawr=on:rtra=on_0 on theBenchmark for (2969ds/198Mi)
% 18.73/3.45 % (9941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.73/3.45 % (9941)Termination reason: Unknown
% 18.73/3.45 % (9941)Termination phase: Preprocessing 2
% 18.73/3.45
% 18.73/3.45 % (9941)Memory used [KB]: 24562
% 18.73/3.45 % (9941)Time elapsed: 0.099 s
% 18.73/3.45 % (9941)Instructions burned: 202 (million)
% 18.73/3.45 % (9941)------------------------------
% 18.73/3.45 % (9941)------------------------------
% 19.31/3.50 % (9954)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=206:si=on:rawr=on:rtra=on_0 on theBenchmark for (2969ds/206Mi)
% 19.31/3.50 % (9952)lrs+10_1:1_av=off:bd=off:lma=on:sfv=off:sos=all:spb=goal_then_units:to=lpo:i=226:si=on:rawr=on:rtra=on_0 on theBenchmark for (2969ds/226Mi)
% 19.31/3.50 % (9918)Instruction limit reached!
% 19.31/3.50 % (9918)------------------------------
% 19.31/3.50 % (9918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.31/3.50 % (9918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.31/3.50 % (9918)Termination reason: Unknown
% 19.31/3.50 % (9918)Termination phase: Preprocessing 3
% 19.31/3.50
% 19.31/3.50 % (9918)Memory used [KB]: 32750
% 19.31/3.50 % (9918)Time elapsed: 0.286 s
% 19.31/3.50 % (9918)Instructions burned: 669 (million)
% 19.31/3.50 % (9918)------------------------------
% 19.31/3.50 % (9918)------------------------------
% 19.31/3.51 % (9953)ott+10_1:5_bs=unit_only:drc=off:ins=1:nwc=2.16:rnwc=on:slsq=on:slsqr=13,149:sp=const_min:tgt=ground:to=lpo:uwa=interpreted_only:i=336:si=on:rawr=on:rtra=on_0 on theBenchmark for (2969ds/336Mi)
% 19.51/3.51 % (9883)Instruction limit reached!
% 19.51/3.51 % (9883)------------------------------
% 19.51/3.51 % (9883)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.51/3.53 % (9883)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.51/3.53 % (9883)Termination reason: Unknown
% 19.51/3.53 % (9883)Termination phase: Saturation
% 19.51/3.53
% 19.51/3.53 % (9883)Memory used [KB]: 32750
% 19.51/3.53 % (9883)Time elapsed: 1.519 s
% 19.51/3.53 % (9883)Instructions burned: 998 (million)
% 19.51/3.53 % (9883)------------------------------
% 19.51/3.53 % (9883)------------------------------
% 19.61/3.54 % (9955)lrs+1011_1:1_nwc=5.0:sd=4:ss=included:st=5.0:i=2097:si=on:rawr=on:rtra=on_0 on theBenchmark for (2969ds/2097Mi)
% 19.61/3.59 % (9956)lrs+1002_1:1_av=off:gs=on:gsp=on:irw=on:nwc=2.0:sd=2:sos=on:ss=axioms:stl=30:urr=on:i=4956:si=on:rawr=on:rtra=on_0 on theBenchmark for (2968ds/4956Mi)
% 20.04/3.63 % (9957)ott+11_2:1_add=large:afp=4000:newcnf=on:sd=1:sos=on:sp=const_min:ss=axioms:i=322:si=on:rawr=on:rtra=on_0 on theBenchmark for (2968ds/322Mi)
% 20.04/3.67 % (9958)dis+3_1:64_av=off:cond=on:lcm=reverse:nwc=3.0:sos=on:updr=off:i=1004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2968ds/1004Mi)
% 20.38/3.72 % (9944)Instruction limit reached!
% 20.38/3.72 % (9944)------------------------------
% 20.38/3.72 % (9944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.38/3.72 % (9944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.38/3.72 % (9944)Termination reason: Unknown
% 20.38/3.72 % (9944)Termination phase: shuffling
% 20.38/3.72
% 20.38/3.72 % (9944)Memory used [KB]: 24050
% 20.38/3.72 % (9944)Time elapsed: 0.184 s
% 20.38/3.72 % (9944)Instructions burned: 293 (million)
% 20.38/3.72 % (9944)------------------------------
% 20.38/3.72 % (9944)------------------------------
% 20.38/3.76 % (9894)Instruction limit reached!
% 20.38/3.76 % (9894)------------------------------
% 20.38/3.76 % (9894)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.38/3.76 % (9894)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.38/3.76 % (9894)Termination reason: Unknown
% 20.38/3.76 % (9894)Termination phase: Property scanning
% 20.38/3.76
% 20.38/3.76 % (9894)Memory used [KB]: 40553
% 20.38/3.76 % (9894)Time elapsed: 0.703 s
% 20.38/3.76 % (9894)Instructions burned: 1501 (million)
% 20.38/3.76 % (9894)------------------------------
% 20.38/3.76 % (9894)------------------------------
% 20.38/3.76 % (9951)Instruction limit reached!
% 20.38/3.76 % (9951)------------------------------
% 20.38/3.76 % (9951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.38/3.76 % (9951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.38/3.76 % (9951)Termination reason: Unknown
% 20.38/3.76 % (9951)Termination phase: Preprocessing 1
% 20.38/3.76
% 20.38/3.76 % (9951)Memory used [KB]: 19189
% 20.38/3.76 % (9951)Time elapsed: 0.102 s
% 20.38/3.76 % (9951)Instructions burned: 198 (million)
% 20.38/3.76 % (9951)------------------------------
% 20.38/3.76 % (9951)------------------------------
% 20.91/3.77 % (9893)Instruction limit reached!
% 20.91/3.77 % (9893)------------------------------
% 20.91/3.77 % (9893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.91/3.77 % (9893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.91/3.77 % (9893)Termination reason: Unknown
% 20.91/3.77 % (9893)Termination phase: Property scanning
% 20.91/3.77
% 20.91/3.77 % (9893)Memory used [KB]: 42088
% 20.91/3.77 % (9893)Time elapsed: 0.477 s
% 20.91/3.77 % (9893)Instructions burned: 1290 (million)
% 20.91/3.77 % (9893)------------------------------
% 20.91/3.77 % (9893)------------------------------
% 20.98/3.79 % (9954)Instruction limit reached!
% 20.98/3.79 % (9954)------------------------------
% 20.98/3.79 % (9954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.98/3.79 % (9954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.98/3.79 % (9954)Termination reason: Unknown
% 20.98/3.79 % (9954)Termination phase: Preprocessing 1
% 20.98/3.79
% 20.98/3.79 % (9954)Memory used [KB]: 16758
% 20.98/3.79 % (9954)Time elapsed: 0.087 s
% 20.98/3.79 % (9954)Instructions burned: 206 (million)
% 20.98/3.79 % (9954)------------------------------
% 20.98/3.79 % (9954)------------------------------
% 22.41/3.85 % (9959)lrs+1011_1:5_av=off:awrs=decay:awrsf=97:bce=on:bsr=on:drc=off:flr=on:gs=on:ins=3:lwlo=on:newcnf=on:nm=0:plsq=on:plsqr=4437,256:s2a=on:s2at=4.0:s2pl=no:sims=off:skr=on:slsq=on:slsqc=0:slsqr=31,16:sos=all:sp=frequency:updr=off:i=654:si=on:rawr=on:rtra=on_0 on theBenchmark for (2966ds/654Mi)
% 22.41/3.86 % (9952)Instruction limit reached!
% 22.41/3.86 % (9952)------------------------------
% 22.41/3.86 % (9952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.41/3.86 % (9952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.41/3.86 % (9952)Termination reason: Unknown
% 22.41/3.86 % (9952)Termination phase: Naming
% 22.41/3.86
% 22.41/3.86 % (9952)Memory used [KB]: 25713
% 22.41/3.86 % (9952)Time elapsed: 0.112 s
% 22.41/3.86 % (9952)Instructions burned: 226 (million)
% 22.41/3.86 % (9952)------------------------------
% 22.41/3.86 % (9952)------------------------------
% 22.41/3.89 % (9960)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=455:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/455Mi)
% 22.41/3.90 % (9961)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=98:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/98Mi)
% 22.41/3.90 % (9962)dis+1002_1:1_cond=on:erd=off:fsd=on:fsdmm=2:gs=on:newcnf=on:nwc=2.0:s2a=on:sims=off:sp=reverse_arity:ss=axioms:i=186:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/186Mi)
% 22.41/3.90 % (9947)Instruction limit reached!
% 22.41/3.90 % (9947)------------------------------
% 22.41/3.90 % (9947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.41/3.90 % (9947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.41/3.90 % (9947)Termination reason: Unknown
% 22.41/3.90 % (9947)Termination phase: Preprocessing 3
% 22.41/3.90
% 22.41/3.90 % (9947)Memory used [KB]: 27760
% 22.41/3.90 % (9947)Time elapsed: 0.170 s
% 22.41/3.90 % (9947)Instructions burned: 351 (million)
% 22.41/3.90 % (9947)------------------------------
% 22.41/3.90 % (9947)------------------------------
% 22.41/3.92 % (9963)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=473:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/473Mi)
% 23.51/3.99 % (9964)dis+1010_1:16_fsd=on:nicw=on:ss=included:i=433:si=on:rawr=on:rtra=on_0 on theBenchmark for (2964ds/433Mi)
% 23.51/4.02 % (9957)Instruction limit reached!
% 23.51/4.02 % (9957)------------------------------
% 23.51/4.02 % (9957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 23.51/4.04 % (9957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 23.51/4.04 % (9957)Termination reason: Unknown
% 23.51/4.04 % (9957)Termination phase: Saturation
% 23.51/4.04
% 23.51/4.04 % (9957)Memory used [KB]: 19445
% 23.51/4.04 % (9957)Time elapsed: 0.481 s
% 23.51/4.04 % (9957)Instructions burned: 322 (million)
% 23.51/4.04 % (9957)------------------------------
% 23.51/4.04 % (9957)------------------------------
% 23.51/4.05 % (9950)Instruction limit reached!
% 23.51/4.05 % (9950)------------------------------
% 23.51/4.05 % (9950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 23.51/4.05 % (9950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 23.51/4.05 % (9950)Termination reason: Unknown
% 23.51/4.05 % (9950)Termination phase: Preprocessing 3
% 23.51/4.05
% 23.51/4.05 % (9950)Memory used [KB]: 26609
% 23.51/4.05 % (9950)Time elapsed: 0.239 s
% 23.51/4.05 % (9950)Instructions burned: 390 (million)
% 23.51/4.05 % (9950)------------------------------
% 23.51/4.05 % (9950)------------------------------
% 24.04/4.06 % (9953)Instruction limit reached!
% 24.04/4.06 % (9953)------------------------------
% 24.04/4.06 % (9953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.04/4.06 % (9953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.04/4.06 % (9953)Termination reason: Unknown
% 24.04/4.06 % (9953)Termination phase: Naming
% 24.04/4.06
% 24.04/4.06 % (9953)Memory used [KB]: 25969
% 24.04/4.06 % (9953)Time elapsed: 0.160 s
% 24.04/4.06 % (9953)Instructions burned: 337 (million)
% 24.04/4.06 % (9953)------------------------------
% 24.04/4.06 % (9953)------------------------------
% 24.04/4.06 % (9961)Instruction limit reached!
% 24.04/4.06 % (9961)------------------------------
% 24.04/4.06 % (9961)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.04/4.06 % (9961)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.04/4.06 % (9961)Termination reason: Unknown
% 24.04/4.06 % (9961)Termination phase: SInE selection
% 24.04/4.06
% 24.04/4.06 % (9961)Memory used [KB]: 12665
% 24.04/4.06 % (9961)Time elapsed: 0.047 s
% 24.04/4.06 % (9961)Instructions burned: 100 (million)
% 24.04/4.06 % (9961)------------------------------
% 24.04/4.06 % (9961)------------------------------
% 24.04/4.06 % (9965)lrs+10_1:32_abs=on:br=off:urr=ec_only:i=453:si=on:rawr=on:rtra=on_0 on theBenchmark for (2964ds/453Mi)
% 24.47/4.13 % (9966)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=802:si=on:rawr=on:rtra=on_0 on theBenchmark for (2963ds/802Mi)
% 24.64/4.14 % (9905)Instruction limit reached!
% 24.64/4.14 % (9905)------------------------------
% 24.64/4.14 % (9905)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.64/4.14 % (9905)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.64/4.14 % (9905)Termination reason: Unknown
% 24.64/4.14 % (9905)Termination phase: Property scanning
% 24.64/4.14
% 24.64/4.14 % (9905)Memory used [KB]: 37099
% 24.64/4.14 % (9905)Time elapsed: 0.557 s
% 24.64/4.14 % (9905)Instructions burned: 1489 (million)
% 24.64/4.14 % (9905)------------------------------
% 24.64/4.14 % (9905)------------------------------
% 24.64/4.16 % (9943)Instruction limit reached!
% 24.64/4.16 % (9943)------------------------------
% 24.64/4.16 % (9943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.64/4.16 % (9943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.64/4.16 % (9943)Termination reason: Unknown
% 24.64/4.16 % (9943)Termination phase: Preprocessing 3
% 24.64/4.16
% 24.64/4.16 % (9943)Memory used [KB]: 39018
% 24.64/4.16 % (9943)Time elapsed: 0.306 s
% 24.64/4.16 % (9943)Instructions burned: 730 (million)
% 24.64/4.16 % (9943)------------------------------
% 24.64/4.16 % (9943)------------------------------
% 24.64/4.19 % (9962)Instruction limit reached!
% 24.64/4.19 % (9962)------------------------------
% 24.64/4.19 % (9962)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.64/4.19 % (9962)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.64/4.19 % (9962)Termination reason: Unknown
% 24.64/4.19 % (9962)Termination phase: SInE selection
% 24.64/4.19
% 24.64/4.19 % (9962)Memory used [KB]: 12665
% 24.64/4.19 % (9962)Time elapsed: 0.090 s
% 24.64/4.19 % (9962)Instructions burned: 188 (million)
% 24.64/4.19 % (9962)------------------------------
% 24.64/4.19 % (9962)------------------------------
% 24.64/4.19 % (9931)Instruction limit reached!
% 24.64/4.19 % (9931)------------------------------
% 24.64/4.19 % (9931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.64/4.19 % (9931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.64/4.19 % (9931)Termination reason: Unknown
% 24.64/4.19 % (9931)Termination phase: Property scanning
% 24.64/4.19
% 24.64/4.19 % (9931)Memory used [KB]: 42216
% 24.64/4.19 % (9931)Time elapsed: 0.392 s
% 24.64/4.19 % (9931)Instructions burned: 997 (million)
% 24.64/4.19 % (9931)------------------------------
% 24.64/4.19 % (9931)------------------------------
% 24.64/4.20 % (9968)dis+21_1:1_av=off:nwc=5.0:s2a=on:s2at=2.2:spb=goal_then_units:to=lpo:i=452:si=on:rawr=on:rtra=on_0 on theBenchmark for (2962ds/452Mi)
% 24.64/4.21 % (9969)lrs+10_1:1_atotf=0.1:lcm=predicate:nwc=5.0:rnwc=on:s2a=on:s2at=2.0:sac=on:sos=on:spb=goal_then_units:urr=on:i=644:si=on:rawr=on:rtra=on_0 on theBenchmark for (2962ds/644Mi)
% 24.64/4.21 % (9967)dis+1002_1:1_ins=1:sd=1:sos=on:ss=axioms:to=lpo:i=848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2962ds/848Mi)
% 25.20/4.28 % (9970)lrs+11_1:128_aac=none:avsq=on:avsqc=2:avsql=on:avsqr=1,16:awrs=converge:bs=on:nm=0:plsq=on:plsqc=1:plsqr=65,12:sos=on:spb=goal_then_units:to=lpo:urr=on:i=855:si=on:rawr=on:rtra=on_0 on theBenchmark for (2961ds/855Mi)
% 25.53/4.30 % (9971)lrs+11_4:1_acc=on:alpa=true:awrs=converge:bsr=unit_only:fsd=on:gs=on:gsaa=from_current:nicw=on:s2a=on:s2at=2.0:sac=on:slsq=on:slsqc=2:slsqr=11,120:sos=all:sp=weighted_frequency:spb=goal_then_units:urr=on:i=3379:si=on:rawr=on:rtra=on_0 on theBenchmark for (2961ds/3379Mi)
% 25.53/4.35 % (9972)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=1340:si=on:rawr=on:rtra=on_0 on theBenchmark for (2961ds/1340Mi)
% 25.93/4.35 % (9911)Instruction limit reached!
% 25.93/4.35 % (9911)------------------------------
% 25.93/4.35 % (9911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 25.93/4.36 % (9911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 25.93/4.36 % (9911)Termination reason: Unknown
% 25.93/4.36 % (9911)Termination phase: Saturation
% 25.93/4.36
% 25.93/4.36 % (9911)Memory used [KB]: 25713
% 25.93/4.36 % (9911)Time elapsed: 1.997 s
% 25.93/4.36 % (9911)Instructions burned: 1345 (million)
% 25.93/4.36 % (9911)------------------------------
% 25.93/4.36 % (9911)------------------------------
% 26.67/4.39 % (9973)dis+1011_2388710:563463_bce=on:ep=RS:erd=off:fs=off:fsr=off:sp=frequency:i=1024:si=on:rawr=on:rtra=on_0 on theBenchmark for (2961ds/1024Mi)
% 26.67/4.41 % (9908)Instruction limit reached!
% 26.67/4.41 % (9908)------------------------------
% 26.67/4.41 % (9908)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 26.67/4.41 % (9908)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 26.67/4.41 % (9908)Termination reason: Unknown
% 26.67/4.41 % (9908)Termination phase: Saturation
% 26.67/4.41
% 26.67/4.41 % (9908)Memory used [KB]: 29423
% 26.67/4.41 % (9908)Time elapsed: 2.072 s
% 26.67/4.41 % (9908)Instructions burned: 1488 (million)
% 26.67/4.41 % (9908)------------------------------
% 26.67/4.41 % (9908)------------------------------
% 27.25/4.47 % (9960)Instruction limit reached!
% 27.25/4.47 % (9960)------------------------------
% 27.25/4.47 % (9960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.25/4.47 % (9960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.25/4.47 % (9960)Termination reason: Unknown
% 27.25/4.47 % (9960)Termination phase: Preprocessing 3
% 27.25/4.47
% 27.25/4.47 % (9960)Memory used [KB]: 33901
% 27.25/4.47 % (9960)Time elapsed: 0.207 s
% 27.25/4.47 % (9960)Instructions burned: 457 (million)
% 27.25/4.47 % (9960)------------------------------
% 27.25/4.47 % (9960)------------------------------
% 27.25/4.47 % (9948)Instruction limit reached!
% 27.25/4.47 % (9948)------------------------------
% 27.25/4.47 % (9948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.25/4.48 % (9948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.25/4.48 % (9948)Termination reason: Unknown
% 27.25/4.48 % (9948)Termination phase: Preprocessing 3
% 27.25/4.48
% 27.25/4.48 % (9948)Memory used [KB]: 39786
% 27.25/4.48 % (9948)Time elapsed: 0.373 s
% 27.25/4.48 % (9948)Instructions burned: 772 (million)
% 27.25/4.48 % (9948)------------------------------
% 27.25/4.48 % (9948)------------------------------
% 27.25/4.49 % (9974)lrs+10_1:1_sd=4:sos=on:spb=goal:ss=axioms:st=3.7:to=lpo:urr=on:i=480:si=on:rawr=on:rtra=on_0 on theBenchmark for (2959ds/480Mi)
% 27.84/4.55 % (9920)Instruction limit reached!
% 27.84/4.55 % (9920)------------------------------
% 27.84/4.55 % (9920)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.84/4.55 % (9975)lrs+2_1:1_ep=R:fde=none:lcm=reverse:nwc=5.0:sos=on:i=543:si=on:rawr=on:rtra=on_0 on theBenchmark for (2959ds/543Mi)
% 27.84/4.56 % (9920)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.84/4.56 % (9920)Termination reason: Unknown
% 27.84/4.56 % (9920)Termination phase: Property scanning
% 27.84/4.56
% 27.84/4.56 % (9920)Memory used [KB]: 42088
% 27.84/4.56 % (9920)Time elapsed: 0.653 s
% 27.84/4.56 % (9920)Instructions burned: 1736 (million)
% 27.84/4.56 % (9920)------------------------------
% 27.84/4.56 % (9920)------------------------------
% 28.21/4.58 % (9976)dis+10_1:1_av=off:ep=RS:lcm=reverse:newcnf=on:s2a=on:s2at=3.0:i=2849:si=on:rawr=on:rtra=on_0 on theBenchmark for (2958ds/2849Mi)
% 28.21/4.59 % (9964)Instruction limit reached!
% 28.21/4.59 % (9964)------------------------------
% 28.21/4.59 % (9964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 28.21/4.59 % (9964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 28.21/4.59 % (9964)Termination reason: Unknown
% 28.21/4.59 % (9964)Termination phase: Preprocessing 3
% 28.21/4.59
% 28.21/4.59 % (9964)Memory used [KB]: 26353
% 28.21/4.59 % (9964)Time elapsed: 0.247 s
% 28.21/4.59 % (9964)Instructions burned: 435 (million)
% 28.21/4.59 % (9964)------------------------------
% 28.21/4.59 % (9964)------------------------------
% 28.21/4.60 % (9963)Refutation not found, non-redundant clauses discarded% (9963)------------------------------
% 28.21/4.60 % (9963)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 28.21/4.61 % (9977)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=670:si=on:rawr=on:rtra=on_0 on theBenchmark for (2958ds/670Mi)
% 28.21/4.61 % (9963)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 28.21/4.61 % (9963)Termination reason: Refutation not found, non-redundant clauses discarded
% 28.21/4.61
% 28.21/4.61 % (9963)Memory used [KB]: 23155
% 28.21/4.61 % (9963)Time elapsed: 0.761 s
% 28.21/4.61 % (9963)Instructions burned: 471 (million)
% 28.21/4.61 % (9963)------------------------------
% 28.21/4.61 % (9963)------------------------------
% 28.21/4.63 % (9959)Instruction limit reached!
% 28.21/4.63 % (9959)------------------------------
% 28.21/4.63 % (9959)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 28.66/4.65 % (9959)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 28.66/4.65 % (9959)Termination reason: Unknown
% 28.66/4.65 % (9959)Termination phase: NewCNF
% 28.66/4.65
% 28.66/4.65 % (9959)Memory used [KB]: 30447
% 28.66/4.65 % (9959)Time elapsed: 0.291 s
% 28.66/4.65 % (9959)Instructions burned: 657 (million)
% 28.66/4.65 % (9959)------------------------------
% 28.66/4.65 % (9959)------------------------------
% 28.83/4.67 % (9913)Instruction limit reached!
% 28.83/4.67 % (9913)------------------------------
% 28.83/4.67 % (9913)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 28.83/4.67 % (9913)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 28.83/4.67 % (9913)Termination reason: Unknown
% 28.83/4.67 % (9913)Termination phase: Saturation
% 28.83/4.67
% 28.83/4.67 % (9913)Memory used [KB]: 34796
% 28.83/4.67 % (9913)Time elapsed: 2.279 s
% 28.83/4.67 % (9913)Instructions burned: 1498 (million)
% 28.83/4.67 % (9913)------------------------------
% 28.83/4.67 % (9913)------------------------------
% 28.83/4.68 % (9937)Instruction limit reached!
% 28.83/4.68 % (9937)------------------------------
% 28.83/4.68 % (9937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 28.83/4.68 % (9937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 28.83/4.68 % (9937)Termination reason: Unknown
% 28.83/4.68 % (9937)Termination phase: Property scanning
% 28.83/4.68
% 28.83/4.68 % (9937)Memory used [KB]: 42216
% 28.83/4.68 % (9937)Time elapsed: 0.521 s
% 28.83/4.68 % (9937)Instructions burned: 1292 (million)
% 28.83/4.68 % (9937)------------------------------
% 28.83/4.68 % (9937)------------------------------
% 28.83/4.70 % (9978)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=918:si=on:rawr=on:rtra=on_0 on theBenchmark for (2957ds/918Mi)
% 28.83/4.70 % (9979)ott+10_1:1_nwc=2.0:ss=axioms:st=1.3:urr=on:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2957ds/2016Mi)
% 29.15/4.75 % (9965)Instruction limit reached!
% 29.15/4.75 % (9965)------------------------------
% 29.15/4.75 % (9965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.33/4.75 % (9980)lrs+11_1:1_av=off:bce=on:bs=on:ep=RST:gsp=on:nm=0:s2a=on:ss=included:i=124:si=on:rawr=on:rtra=on_0 on theBenchmark for (2957ds/124Mi)
% 29.33/4.76 % (9965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.33/4.76 % (9965)Termination reason: Unknown
% 29.33/4.76 % (9965)Termination phase: Preprocessing 3
% 29.33/4.76
% 29.33/4.76 % (9965)Memory used [KB]: 33645
% 29.33/4.76 % (9965)Time elapsed: 0.214 s
% 29.33/4.76 % (9965)Instructions burned: 455 (million)
% 29.33/4.76 % (9965)------------------------------
% 29.33/4.76 % (9965)------------------------------
% 29.33/4.80 % (9981)lrs+1011_1:1_av=off:br=off:erd=off:ins=1:nm=3:nwc=3.0:s2a=on:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2957ds/439Mi)
% 29.33/4.80 % (9982)dis+1010_5:1_abs=on:ep=RST:fde=unused:gsp=on:ins=1:nwc=10.0:s2a=on:s2at=1.5:sas=z3:sp=reverse_frequency:i=778:si=on:rawr=on:rtra=on_0 on theBenchmark for (2956ds/778Mi)
% 29.33/4.82 % (9983)ott+10_1:1_bsr=unit_only:cond=on:nm=16:sd=1:sp=frequency:ss=included:i=105:si=on:rawr=on:rtra=on_0 on theBenchmark for (2956ds/105Mi)
% 29.33/4.82 % (9946)Instruction limit reached!
% 29.33/4.82 % (9946)------------------------------
% 29.33/4.82 % (9946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.78/4.84 % (9946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.78/4.84 % (9946)Termination reason: Unknown
% 29.78/4.84 % (9946)Termination phase: Property scanning
% 29.78/4.84
% 29.78/4.84 % (9946)Memory used [KB]: 42216
% 29.78/4.84 % (9946)Time elapsed: 0.518 s
% 29.78/4.84 % (9946)Instructions burned: 1174 (million)
% 29.78/4.84 % (9946)------------------------------
% 29.78/4.84 % (9946)------------------------------
% 30.01/4.90 % (9968)Instruction limit reached!
% 30.01/4.90 % (9968)------------------------------
% 30.01/4.90 % (9968)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.01/4.90 % (9968)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.01/4.90 % (9968)Termination reason: Unknown
% 30.01/4.90 % (9968)Termination phase: Preprocessing 3
% 30.01/4.90
% 30.01/4.90 % (9968)Memory used [KB]: 26865
% 30.01/4.90 % (9968)Time elapsed: 0.216 s
% 30.01/4.90 % (9968)Instructions burned: 453 (million)
% 30.01/4.90 % (9968)------------------------------
% 30.01/4.90 % (9968)------------------------------
% 30.01/4.90 % (9980)Instruction limit reached!
% 30.01/4.90 % (9980)------------------------------
% 30.01/4.90 % (9980)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.01/4.92 % (9980)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.01/4.92 % (9980)Termination reason: Unknown
% 30.01/4.92 % (9980)Termination phase: SInE selection
% 30.01/4.92
% 30.01/4.92 % (9980)Memory used [KB]: 12665
% 30.01/4.92 % (9980)Time elapsed: 0.055 s
% 30.01/4.92 % (9980)Instructions burned: 125 (million)
% 30.01/4.92 % (9980)------------------------------
% 30.01/4.92 % (9980)------------------------------
% 30.01/4.93 % (9984)dis+1011_1:10_av=off:awrs=decay:bce=on:bd=off:bsd=on:nwc=2.0:i=1536:si=on:rawr=on:rtra=on_0 on theBenchmark for (2955ds/1536Mi)
% 31.28/4.97 % (9985)lrs+1002_1:1_atotf=0.3:avsq=on:avsqr=55,124:cond=on:nm=3:plsq=on:plsqc=1:plsql=on:plsqr=32,1:i=167:si=on:rawr=on:rtra=on_0 on theBenchmark for (2955ds/167Mi)
% 31.47/4.99 % (9983)Instruction limit reached!
% 31.47/4.99 % (9983)------------------------------
% 31.47/4.99 % (9983)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 31.47/4.99 % (9983)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 31.47/4.99 % (9983)Termination reason: Unknown
% 31.47/4.99 % (9983)Termination phase: Preprocessing 1
% 31.47/4.99
% 31.47/4.99 % (9983)Memory used [KB]: 13944
% 31.47/4.99 % (9983)Time elapsed: 0.050 s
% 31.47/4.99 % (9983)Instructions burned: 105 (million)
% 31.47/4.99 % (9983)------------------------------
% 31.47/4.99 % (9983)------------------------------
% 31.92/5.04 % (9986)lrs+10_3:1_abs=on:ep=RST:newcnf=on:nm=2:sas=z3:sd=1:sos=all:ss=included:to=lpo:i=4507:si=on:rawr=on:rtra=on_0 on theBenchmark for (2954ds/4507Mi)
% 31.92/5.05 % (9987)dis+1004_1:1_br=off:fsd=on:urr=ec_only:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2954ds/93Mi)
% 32.02/5.05 % (9958)Instruction limit reached!
% 32.02/5.05 % (9958)------------------------------
% 32.02/5.05 % (9958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.02/5.05 % (9958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.02/5.05 % (9958)Termination reason: Unknown
% 32.02/5.05 % (9958)Termination phase: Property scanning
% 32.02/5.05
% 32.02/5.05 % (9958)Memory used [KB]: 41960
% 32.02/5.05 % (9958)Time elapsed: 0.470 s
% 32.02/5.05 % (9958)Instructions burned: 1004 (million)
% 32.02/5.05 % (9958)------------------------------
% 32.02/5.05 % (9958)------------------------------
% 32.53/5.13 % (9988)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=529:si=on:rawr=on:rtra=on_0 on theBenchmark for (2953ds/529Mi)
% 32.53/5.14 % (9974)Instruction limit reached!
% 32.53/5.14 % (9974)------------------------------
% 32.53/5.14 % (9974)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.53/5.14 % (9974)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.53/5.14 % (9974)Termination reason: Unknown
% 32.53/5.14 % (9974)Termination phase: Preprocessing 3
% 32.53/5.14
% 32.53/5.14 % (9974)Memory used [KB]: 26993
% 32.53/5.14 % (9974)Time elapsed: 0.239 s
% 32.53/5.14 % (9974)Instructions burned: 481 (million)
% 32.53/5.14 % (9974)------------------------------
% 32.53/5.14 % (9974)------------------------------
% 32.53/5.16 % (9969)Instruction limit reached!
% 32.53/5.16 % (9969)------------------------------
% 32.53/5.16 % (9969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.53/5.16 % (9969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.53/5.16 % (9969)Termination reason: Unknown
% 32.53/5.16 % (9969)Termination phase: Preprocessing 3
% 32.53/5.16
% 32.53/5.16 % (9969)Memory used [KB]: 34029
% 32.53/5.16 % (9969)Time elapsed: 0.274 s
% 32.53/5.16 % (9969)Instructions burned: 644 (million)
% 32.53/5.16 % (9969)------------------------------
% 32.53/5.16 % (9969)------------------------------
% 32.91/5.19 % (9989)lrs+1011_1:1024_av=off:br=off:s2at=3.0:slsq=on:slsqc=2:slsql=off:slsqr=1,8:urr=ec_only:i=1275:si=on:rawr=on:rtra=on_0 on theBenchmark for (2952ds/1275Mi)
% 32.91/5.20 % (9987)Instruction limit reached!
% 32.91/5.20 % (9987)------------------------------
% 32.91/5.20 % (9987)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.91/5.22 % (9987)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.91/5.22 % (9987)Termination reason: Unknown
% 32.91/5.22 % (9987)Termination phase: Preprocessing 1
% 32.91/5.22
% 32.91/5.22 % (9987)Memory used [KB]: 18933
% 32.91/5.22 % (9987)Time elapsed: 0.047 s
% 32.91/5.22 % (9987)Instructions burned: 94 (million)
% 32.91/5.22 % (9987)------------------------------
% 32.91/5.22 % (9987)------------------------------
% 32.91/5.23 % (9985)Instruction limit reached!
% 32.91/5.23 % (9985)------------------------------
% 32.91/5.23 % (9985)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.91/5.23 % (9985)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.91/5.23 % (9985)Termination reason: Unknown
% 32.91/5.23 % (9985)Termination phase: Preprocessing 1
% 32.91/5.23
% 32.91/5.23 % (9985)Memory used [KB]: 22771
% 32.91/5.23 % (9985)Time elapsed: 0.107 s
% 32.91/5.23 % (9985)Instructions burned: 169 (million)
% 32.91/5.23 % (9985)------------------------------
% 32.91/5.23 % (9985)------------------------------
% 33.48/5.25 % (9966)Instruction limit reached!
% 33.48/5.25 % (9966)------------------------------
% 33.48/5.25 % (9966)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 33.48/5.25 % (9990)dis+10_1:1_av=off:gs=on:newcnf=on:nm=2:plsq=on:plsqr=32,1:sd=1:sos=all:ss=included:st=3.0:i=507:si=on:rawr=on:rtra=on_0 on theBenchmark for (2951ds/507Mi)
% 33.48/5.26 % (9966)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 33.48/5.26 % (9966)Termination reason: Unknown
% 33.48/5.26 % (9966)Termination phase: Preprocessing 3
% 33.48/5.26
% 33.48/5.26 % (9966)Memory used [KB]: 38634
% 33.48/5.26 % (9966)Time elapsed: 0.350 s
% 33.48/5.26 % (9966)Instructions burned: 802 (million)
% 33.48/5.26 % (9966)------------------------------
% 33.48/5.26 % (9966)------------------------------
% 33.67/5.30 % (9991)dis+1002_1:28_av=off:nwc=5.0:s2a=on:s2at=3.0:i=354:si=on:rawr=on:rtra=on_0 on theBenchmark for (2951ds/354Mi)
% 33.67/5.32 % (9970)Instruction limit reached!
% 33.67/5.32 % (9970)------------------------------
% 33.67/5.32 % (9970)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 33.67/5.32 % (9970)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 33.67/5.32 % (9970)Termination reason: Unknown
% 33.67/5.32 % (9970)Termination phase: Property scanning
% 33.67/5.32
% 33.67/5.32 % (9970)Memory used [KB]: 43368
% 33.67/5.32 % (9970)Time elapsed: 0.353 s
% 33.67/5.32 % (9970)Instructions burned: 858 (million)
% 33.67/5.32 % (9970)------------------------------
% 33.67/5.32 % (9970)------------------------------
% 34.01/5.34 % (9977)Instruction limit reached!
% 34.01/5.34 % (9977)------------------------------
% 34.01/5.34 % (9977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 34.01/5.34 % (9977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 34.01/5.34 % (9977)Termination reason: Unknown
% 34.01/5.34 % (9977)Termination phase: Property scanning
% 34.01/5.34
% 34.01/5.34 % (9977)Memory used [KB]: 21364
% 34.01/5.34 % (9977)Time elapsed: 0.290 s
% 34.01/5.34 % (9977)Instructions burned: 672 (million)
% 34.01/5.34 % (9977)------------------------------
% 34.01/5.34 % (9977)------------------------------
% 34.01/5.34 % (9975)Instruction limit reached!
% 34.01/5.34 % (9975)------------------------------
% 34.01/5.34 % (9975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 34.01/5.34 % (9975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 34.01/5.34 % (9975)Termination reason: Unknown
% 34.01/5.34 % (9975)Termination phase: Preprocessing 3
% 34.01/5.34
% 34.01/5.34 % (9975)Memory used [KB]: 35436
% 34.01/5.34 % (9975)Time elapsed: 0.262 s
% 34.01/5.34 % (9975)Instructions burned: 543 (million)
% 34.01/5.34 % (9975)------------------------------
% 34.01/5.34 % (9975)------------------------------
% 34.13/5.36 % (9992)ott+10_1:1_fde=none:flr=on:s2a=on:i=210:si=on:rawr=on:rtra=on_0 on theBenchmark for (2951ds/210Mi)
% 34.13/5.40 % (9994)dis+1011_1:1_bsr=on:erd=off:nwc=5.0:plsq=on:plsqc=1:plsqr=107,4:s2a=on:s2at=1.5:sas=z3:sp=reverse_frequency:spb=units:updr=off:i=1114:si=on:rawr=on:rtra=on_0 on theBenchmark for (2950ds/1114Mi)
% 34.13/5.40 % (9993)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2950ds/93Mi)
% 34.53/5.42 % (9967)Instruction limit reached!
% 34.53/5.42 % (9967)------------------------------
% 34.53/5.42 % (9967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 34.53/5.42 % (9967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 34.53/5.42 % (9967)Termination reason: Unknown
% 34.53/5.42 % (9967)Termination phase: Saturation
% 34.53/5.42
% 34.53/5.42 % (9967)Memory used [KB]: 24946
% 34.53/5.42 % (9967)Time elapsed: 1.311 s
% 34.53/5.42 % (9967)Instructions burned: 849 (million)
% 34.53/5.42 % (9967)------------------------------
% 34.53/5.42 % (9967)------------------------------
% 34.53/5.43 % (9995)dis+1011_1:1_newcnf=on:nwc=5.0:i=189:si=on:rawr=on:rtra=on_0 on theBenchmark for (2950ds/189Mi)
% 34.53/5.46 % (9981)Instruction limit reached!
% 34.53/5.46 % (9981)------------------------------
% 34.53/5.46 % (9981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 34.53/5.46 % (9981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 34.53/5.46 % (9981)Termination reason: Unknown
% 34.53/5.46 % (9981)Termination phase: Preprocessing 3
% 34.53/5.46
% 34.53/5.46 % (9981)Memory used [KB]: 28144
% 34.53/5.46 % (9981)Time elapsed: 0.236 s
% 34.53/5.46 % (9981)Instructions burned: 440 (million)
% 34.53/5.46 % (9981)------------------------------
% 34.53/5.46 % (9981)------------------------------
% 35.41/5.49 % (9997)lrs+1004_1:1_av=off:bd=off:sos=all:i=144:si=on:rawr=on:rtra=on_0 on theBenchmark for (2949ds/144Mi)
% 35.41/5.51 % (9996)lrs+1011_1:1_ep=R:gsp=on:nm=0:sos=on:spb=units:ss=included:i=351:si=on:rawr=on:rtra=on_0 on theBenchmark for (2949ds/351Mi)
% 35.41/5.53 % (9993)Instruction limit reached!
% 35.41/5.53 % (9993)------------------------------
% 35.41/5.53 % (9993)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 35.41/5.55 % (9993)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 35.41/5.55 % (9993)Termination reason: Unknown
% 35.41/5.55 % (9993)Termination phase: SInE selection
% 35.41/5.55
% 35.41/5.55 % (9993)Memory used [KB]: 12665
% 35.41/5.55 % (9993)Time elapsed: 0.045 s
% 35.41/5.55 % (9993)Instructions burned: 94 (million)
% 35.41/5.55 % (9993)------------------------------
% 35.41/5.55 % (9993)------------------------------
% 36.04/5.56 % (9921)Instruction limit reached!
% 36.04/5.56 % (9921)------------------------------
% 36.04/5.56 % (9921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 36.04/5.56 % (9921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 36.04/5.56 % (9921)Termination reason: Unknown
% 36.04/5.56 % (9921)Termination phase: Property scanning
% 36.04/5.56
% 36.04/5.56 % (9921)Memory used [KB]: 38123
% 36.04/5.56 % (9921)Time elapsed: 0.874 s
% 36.04/5.56 % (9921)Instructions burned: 2681 (million)
% 36.04/5.56 % (9921)------------------------------
% 36.04/5.56 % (9921)------------------------------
% 36.04/5.58 % (9998)ott+1003_1:1_bce=on:bd=preordered:drc=off:fd=preordered:to=lpo:uwa=ground:i=318:si=on:rawr=on:rtra=on_0 on theBenchmark for (2949ds/318Mi)
% 36.29/5.59 % (9999)dis+21_1:1_aac=none:er=known:lcm=predicate:nwc=3.0:sp=frequency:i=471:si=on:rawr=on:rtra=on_0 on theBenchmark for (2948ds/471Mi)
% 36.29/5.59 % (9928)Instruction limit reached!
% 36.29/5.59 % (9928)------------------------------
% 36.29/5.59 % (9928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 36.29/5.59 % (9928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 36.29/5.59 % (9928)Termination reason: Unknown
% 36.29/5.59 % (9928)Termination phase: Property scanning
% 36.29/5.59
% 36.29/5.59 % (9928)Memory used [KB]: 43368
% 36.29/5.59 % (9928)Time elapsed: 0.781 s
% 36.29/5.59 % (9928)Instructions burned: 2546 (million)
% 36.29/5.59 % (9928)------------------------------
% 36.29/5.59 % (9928)------------------------------
% 36.71/5.68 % (10000)lrs+10_1:4_drc=off:sos=on:to=lpo:i=689:si=on:rawr=on:rtra=on_0 on theBenchmark for (2947ds/689Mi)
% 36.71/5.69 % (9992)Instruction limit reached!
% 36.71/5.69 % (9992)------------------------------
% 36.71/5.69 % (9992)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 36.71/5.69 % (9992)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 36.71/5.69 % (9992)Termination reason: Unknown
% 36.71/5.69 % (9992)Termination phase: Preprocessing 1
% 36.71/5.69
% 36.71/5.69 % (9992)Memory used [KB]: 19829
% 36.71/5.69 % (9992)Time elapsed: 0.098 s
% 36.71/5.69 % (9992)Instructions burned: 210 (million)
% 36.71/5.69 % (9992)------------------------------
% 36.71/5.69 % (9992)------------------------------
% 37.18/5.72 % (10001)dis+1011_1:16_etr=on:fsd=on:fsr=off:ins=1:plsq=on:plsqr=32,1:sac=on:sp=frequency:spb=goal:ss=axioms:st=2.0:to=lpo:i=451:si=on:rawr=on:rtra=on_0 on theBenchmark for (2947ds/451Mi)
% 37.18/5.73 % (9973)Instruction limit reached!
% 37.18/5.73 % (9973)------------------------------
% 37.18/5.73 % (9973)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 37.18/5.73 % (9973)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 37.18/5.73 % (9973)Termination reason: Unknown
% 37.18/5.73 % (9973)Termination phase: Property scanning
% 37.18/5.73
% 37.18/5.73 % (9973)Memory used [KB]: 42088
% 37.18/5.73 % (9973)Time elapsed: 0.426 s
% 37.18/5.73 % (9973)Instructions burned: 1025 (million)
% 37.18/5.73 % (9973)------------------------------
% 37.18/5.73 % (9973)------------------------------
% 37.18/5.74 % (10002)lrs+1011_1:2_acc=on:avsq=on:avsqc=2:avsqr=1,16:awrs=converge:plsq=on:plsqc=1:plsqr=15,8:i=125:si=on:rawr=on:rtra=on_0 on theBenchmark for (2947ds/125Mi)
% 37.18/5.75 % (9997)Instruction limit reached!
% 37.18/5.75 % (9997)------------------------------
% 37.18/5.75 % (9997)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 37.18/5.75 % (9997)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 37.18/5.75 % (9997)Termination reason: Unknown
% 37.18/5.75 % (9997)Termination phase: Preprocessing 1
% 37.18/5.75
% 37.18/5.75 % (9997)Memory used [KB]: 21364
% 37.18/5.75 % (9997)Time elapsed: 0.102 s
% 37.18/5.75 % (9997)Instructions burned: 144 (million)
% 37.18/5.75 % (9997)------------------------------
% 37.18/5.75 % (9997)------------------------------
% 37.18/5.76 % (9995)Instruction limit reached!
% 37.18/5.76 % (9995)------------------------------
% 37.18/5.76 % (9995)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 37.18/5.76 % (9995)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 37.18/5.76 % (9995)Termination reason: Unknown
% 37.18/5.76 % (9995)Termination phase: Preprocessing 1
% 37.18/5.76
% 37.18/5.76 % (9995)Memory used [KB]: 23794
% 37.18/5.76 % (9995)Time elapsed: 0.093 s
% 37.18/5.76 % (9995)Instructions burned: 189 (million)
% 37.18/5.76 % (9995)------------------------------
% 37.18/5.76 % (9995)------------------------------
% 37.52/5.80 % (9990)Instruction limit reached!
% 37.52/5.80 % (9990)------------------------------
% 37.52/5.80 % (9990)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 37.52/5.80 % (9991)Instruction limit reached!
% 37.52/5.80 % (9991)------------------------------
% 37.52/5.80 % (9991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 37.52/5.80 % (9991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 37.52/5.80 % (9991)Termination reason: Unknown
% 37.52/5.80 % (9991)Termination phase: Preprocessing 1
% 37.52/5.80
% 37.52/5.80 % (9991)Memory used [KB]: 23794
% 37.52/5.80 % (9991)Time elapsed: 0.152 s
% 37.52/5.80 % (9991)Instructions burned: 354 (million)
% 37.52/5.80 % (9991)------------------------------
% 37.52/5.80 % (9991)------------------------------
% 37.52/5.81 % (9990)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 37.52/5.81 % (9990)Termination reason: Unknown
% 37.52/5.81 % (9990)Termination phase: NewCNF
% 37.52/5.81
% 37.52/5.81 % (9990)Memory used [KB]: 27121
% 37.52/5.81 % (9990)Time elapsed: 0.302 s
% 37.52/5.81 % (9990)Instructions burned: 507 (million)
% 37.52/5.81 % (9990)------------------------------
% 37.52/5.81 % (9990)------------------------------
% 38.19/5.86 % (9982)Instruction limit reached!
% 38.19/5.86 % (9982)------------------------------
% 38.19/5.86 % (9982)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 38.19/5.86 % (9982)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 38.19/5.86 % (9982)Termination reason: Unknown
% 38.19/5.86 % (9982)Termination phase: Preprocessing 3
% 38.19/5.86
% 38.19/5.86 % (9982)Memory used [KB]: 36587
% 38.19/5.86 % (9982)Time elapsed: 0.343 s
% 38.19/5.86 % (9982)Instructions burned: 779 (million)
% 38.19/5.86 % (9982)------------------------------
% 38.19/5.86 % (9982)------------------------------
% 38.19/5.87 % (10004)dis+10_1:1024_drc=off:ins=1:to=lpo:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2946ds/370Mi)
% 38.19/5.88 % (10003)lrs+1011_1:1_acc=model:avsq=on:bd=off:flr=on:fsd=on:gs=on:newcnf=on:plsq=on:plsql=on:plsqr=1,32:s2a=on:s2at=3.0:sac=on:skr=on:sos=on:sp=occurrence:updr=off:i=496:si=on:rawr=on:rtra=on_0 on theBenchmark for (2946ds/496Mi)
% 38.19/5.88 % (10005)lrs+1002_1:64_av=off:bd=off:gsp=on:plsq=on:sos=on:i=134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2945ds/134Mi)
% 38.35/5.89 % (9988)Instruction limit reached!
% 38.35/5.89 % (9988)------------------------------
% 38.35/5.89 % (9988)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 38.35/5.89 % (9988)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 38.35/5.89 % (9988)Termination reason: Unknown
% 38.35/5.89 % (9988)Termination phase: Preprocessing 3
% 38.35/5.89
% 38.35/5.89 % (9988)Memory used [KB]: 35180
% 38.35/5.89 % (9988)Time elapsed: 0.254 s
% 38.35/5.89 % (9988)Instructions burned: 529 (million)
% 38.35/5.89 % (9988)------------------------------
% 38.35/5.89 % (9988)------------------------------
% 38.35/5.90 % (10006)lrs+1010_1:3_aac=none:anc=all_dependent:bsr=on:fsr=off:nwc=1.5:sos=on:i=401:si=on:rawr=on:rtra=on_0 on theBenchmark for (2945ds/401Mi)
% 38.35/5.91 % (10007)dis+1011_1:1_aac=none:bs=unit_only:ep=RS:gsp=on:nwc=5.0:rnwc=on:s2a=on:s2at=3.0:slsq=on:slsqc=2:slsqr=1,8:i=1879:si=on:rawr=on:rtra=on_0 on theBenchmark for (2945ds/1879Mi)
% 38.35/5.92 % (10008)lrs+10_1:1024_br=off:bs=unit_only:ep=RS:flr=on:fsr=off:lcm=reverse:slsq=on:sos=all:sp=frequency:urr=on:i=392:si=on:rawr=on:rtra=on_0 on theBenchmark for (2945ds/392Mi)
% 38.61/5.93 % (9978)Instruction limit reached!
% 38.61/5.93 % (9978)------------------------------
% 38.61/5.93 % (9978)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 38.61/5.93 % (9978)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 38.61/5.93 % (9978)Termination reason: Unknown
% 38.61/5.93 % (9978)Termination phase: Preprocessing 3
% 38.61/5.93
% 38.61/5.93 % (9978)Memory used [KB]: 40553
% 38.61/5.93 % (9978)Time elapsed: 0.402 s
% 38.61/5.93 % (9978)Instructions burned: 920 (million)
% 38.61/5.93 % (9978)------------------------------
% 38.61/5.93 % (9978)------------------------------
% 38.67/5.95 % (10002)Instruction limit reached!
% 38.67/5.95 % (10002)------------------------------
% 38.67/5.95 % (10002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 38.67/5.95 % (10002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 38.67/5.95 % (10002)Termination reason: Unknown
% 38.67/5.95 % (10002)Termination phase: Preprocessing 1
% 38.67/5.95
% 38.67/5.95 % (10002)Memory used [KB]: 20340
% 38.67/5.95 % (10002)Time elapsed: 0.062 s
% 38.67/5.95 % (10002)Instructions burned: 125 (million)
% 38.67/5.95 % (10002)------------------------------
% 38.67/5.95 % (10002)------------------------------
% 38.67/5.98 % (9955)Instruction limit reached!
% 38.67/5.98 % (9955)------------------------------
% 38.67/5.98 % (9955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 38.67/5.98 % (9955)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 38.67/5.98 % (9955)Termination reason: Unknown
% 38.67/5.98 % (9955)Termination phase: Saturation
% 38.67/5.98
% 38.67/5.98 % (9955)Memory used [KB]: 47973
% 38.67/5.98 % (9955)Time elapsed: 0.734 s
% 38.67/5.98 % (9955)Instructions burned: 2098 (million)
% 38.67/5.98 % (9955)------------------------------
% 38.67/5.98 % (9955)------------------------------
% 39.70/6.02 % (9996)Instruction limit reached!
% 39.70/6.02 % (9996)------------------------------
% 39.70/6.02 % (9996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 39.70/6.02 % (9996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 39.70/6.02 % (9996)Termination reason: Unknown
% 39.70/6.02 % (9996)Termination phase: Preprocessing 3
% 39.70/6.02
% 39.70/6.02 % (9996)Memory used [KB]: 25202
% 39.70/6.02 % (9996)Time elapsed: 0.155 s
% 39.70/6.02 % (9996)Instructions burned: 352 (million)
% 39.70/6.02 % (9996)------------------------------
% 39.70/6.02 % (9996)------------------------------
% 39.70/6.02 % (10010)dis+11_1:1_av=off:bce=on:bs=on:ep=RST:gsp=on:nm=0:ss=included:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2944ds/131Mi)
% 39.70/6.02 % (10009)lrs+11_1:32_awrs=converge:awrsf=32:bd=preordered:drc=off:fd=preordered:flr=on:to=lpo:i=3473:si=on:rawr=on:rtra=on_0 on theBenchmark for (2944ds/3473Mi)
% 39.70/6.07 % (9998)Instruction limit reached!
% 39.70/6.07 % (9998)------------------------------
% 39.70/6.07 % (9998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 39.70/6.07 % (9998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 39.70/6.07 % (9998)Termination reason: Unknown
% 39.70/6.07 % (9998)Termination phase: Preprocessing 3
% 39.70/6.07
% 39.70/6.07 % (9998)Memory used [KB]: 27249
% 39.70/6.07 % (9998)Time elapsed: 0.180 s
% 39.70/6.07 % (9998)Instructions burned: 318 (million)
% 39.70/6.07 % (9998)------------------------------
% 39.70/6.07 % (9998)------------------------------
% 40.17/6.08 % (10011)lrs+10_1:64_plsq=on:plsqr=32,1:sac=on:sos=all:ss=axioms:st=5.0:i=154:si=on:rawr=on:rtra=on_0 on theBenchmark for (2944ds/154Mi)
% 40.17/6.09 % (10012)lrs+10_1:1_ev=cautious:sas=z3:tgt=full:i=668:si=on:rawr=on:rtra=on_0 on theBenchmark for (2943ds/668Mi)
% 40.17/6.12 % (10013)lrs+1011_1:4_av=off:bd=off:drc=off:ins=1:nwc=2.0:spb=goal:tgt=full:to=lpo:i=254:si=on:rawr=on:rtra=on_0 on theBenchmark for (2943ds/254Mi)
% 40.17/6.14 % (10005)Instruction limit reached!
% 40.17/6.14 % (10005)------------------------------
% 40.17/6.14 % (10005)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 40.17/6.14 % (10005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 40.17/6.14 % (10005)Termination reason: Unknown
% 40.17/6.14 % (10005)Termination phase: Preprocessing 1
% 40.17/6.14
% 40.17/6.14 % (10005)Memory used [KB]: 20724
% 40.17/6.14 % (10005)Time elapsed: 0.077 s
% 40.17/6.14 % (10005)Instructions burned: 136 (million)
% 40.17/6.14 % (10005)------------------------------
% 40.17/6.14 % (10005)------------------------------
% 40.17/6.16 % (10014)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=1452:si=on:rawr=on:rtra=on_0 on theBenchmark for (2943ds/1452Mi)
% 41.37/6.24 % (10010)Instruction limit reached!
% 41.37/6.24 % (10010)------------------------------
% 41.37/6.24 % (10010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 41.37/6.24 % (10015)ott+10_1:1_bd=preordered:drc=off:fde=unused:slsq=on:slsqr=10,31:sp=const_min:tgt=ground:to=lpo:urr=ec_only:i=2772:si=on:rawr=on:rtra=on_0 on theBenchmark for (2942ds/2772Mi)
% 41.37/6.24 % (10010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 41.37/6.24 % (10010)Termination reason: Unknown
% 41.37/6.24 % (10010)Termination phase: Preprocessing 1
% 41.37/6.24
% 41.37/6.24 % (10010)Memory used [KB]: 14200
% 41.37/6.24 % (10010)Time elapsed: 0.076 s
% 41.37/6.24 % (10010)Instructions burned: 133 (million)
% 41.37/6.24 % (10010)------------------------------
% 41.37/6.24 % (10010)------------------------------
% 41.37/6.26 % (10011)Instruction limit reached!
% 41.37/6.26 % (10011)------------------------------
% 41.37/6.26 % (10011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 41.37/6.27 % (10011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 41.37/6.27 % (10011)Termination reason: Unknown
% 41.37/6.27 % (10011)Termination phase: SInE selection
% 41.37/6.27
% 41.37/6.27 % (10011)Memory used [KB]: 12792
% 41.37/6.27 % (10011)Time elapsed: 0.065 s
% 41.37/6.27 % (10011)Instructions burned: 156 (million)
% 41.37/6.27 % (10011)------------------------------
% 41.37/6.27 % (10011)------------------------------
% 41.37/6.27 % (9972)Instruction limit reached!
% 41.37/6.27 % (9972)------------------------------
% 41.37/6.27 % (9972)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 41.37/6.27 % (9972)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 41.37/6.27 % (9972)Termination reason: Unknown
% 41.37/6.27 % (9972)Termination phase: Saturation
% 41.37/6.27
% 41.37/6.27 % (9972)Memory used [KB]: 25969
% 41.37/6.27 % (9972)Time elapsed: 2.029 s
% 41.37/6.27 % (9972)Instructions burned: 1341 (million)
% 41.37/6.27 % (9972)------------------------------
% 41.37/6.27 % (9972)------------------------------
% 41.37/6.27 % (10016)dis+10_1:512_drc=off:fd=preordered:ins=2:kws=precedence:s2a=on:sp=unary_first:spb=intro:tgt=ground:i=3180:si=on:rawr=on:rtra=on_0 on theBenchmark for (2941ds/3180Mi)
% 41.37/6.28 % (9999)Instruction limit reached!
% 41.37/6.28 % (9999)------------------------------
% 41.37/6.28 % (9999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 41.37/6.29 % (9999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 41.37/6.29 % (9999)Termination reason: Unknown
% 41.37/6.29 % (9999)Termination phase: Preprocessing 3
% 41.37/6.29
% 41.37/6.29 % (9999)Memory used [KB]: 33773
% 41.37/6.29 % (9999)Time elapsed: 0.209 s
% 41.37/6.29 % (9999)Instructions burned: 471 (million)
% 41.37/6.29 % (9999)------------------------------
% 41.37/6.29 % (9999)------------------------------
% 41.91/6.35 % (10001)Instruction limit reached!
% 41.91/6.35 % (10001)------------------------------
% 41.91/6.35 % (10001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 41.91/6.37 % (10018)dis+1011_1:1_fd=preordered:tgt=ground:i=561:si=on:rawr=on:rtra=on_0 on theBenchmark for (2940ds/561Mi)
% 41.91/6.37 % (10001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 41.91/6.37 % (10001)Termination reason: Unknown
% 41.91/6.37 % (10001)Termination phase: Preprocessing 3
% 41.91/6.37
% 41.91/6.37 % (10001)Memory used [KB]: 26481
% 41.91/6.37 % (10001)Time elapsed: 0.205 s
% 41.91/6.37 % (10001)Instructions burned: 452 (million)
% 41.91/6.37 % (10001)------------------------------
% 41.91/6.37 % (10001)------------------------------
% 42.29/6.39 % (10004)Instruction limit reached!
% 42.29/6.39 % (10004)------------------------------
% 42.29/6.39 % (10004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 42.29/6.39 % (10004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 42.29/6.39 % (10004)Termination reason: Unknown
% 42.29/6.39 % (10004)Termination phase: Preprocessing 3
% 42.29/6.39
% 42.29/6.39 % (10004)Memory used [KB]: 28272
% 42.29/6.39 % (10004)Time elapsed: 0.168 s
% 42.29/6.39 % (10004)Instructions burned: 372 (million)
% 42.29/6.39 % (10004)------------------------------
% 42.29/6.39 % (10004)------------------------------
% 42.29/6.39 % (10017)dis+1010_1:1_aac=none:anc=all:bs=on:erd=off:etr=on:flr=on:gsp=on:lcm=reverse:nm=5:nwc=3.0:sac=on:sfv=off:skr=on:sp=reverse_arity:urr=on:uwa=interpreted_only:i=1043:si=on:rawr=on:rtra=on_0 on theBenchmark for (2940ds/1043Mi)
% 42.29/6.43 % (10020)lrs+10_1:16_br=off:fde=none:ins=1:nwc=3.0:sos=on:ss=axioms:urr=on:i=234:si=on:rawr=on:rtra=on_0 on theBenchmark for (2940ds/234Mi)
% 42.29/6.46 % (10019)lrs+10_2:1_av=off:bsd=on:fd=off:nm=0:nwc=2.0:spb=goal:to=lpo:urr=on:i=604:si=on:rawr=on:rtra=on_0 on theBenchmark for (2940ds/604Mi)
% 43.00/6.51 % (10021)dis+1010_1:3_av=off:bd=off:bs=on:bsr=on:cond=on:gsp=on:slsq=on:slsqc=1:slsqr=1,4:uwa=all:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2939ds/109Mi)
% 43.00/6.51 % (10006)Instruction limit reached!
% 43.00/6.51 % (10006)------------------------------
% 43.00/6.51 % (10006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 43.00/6.51 % (10006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 43.00/6.51 % (10006)Termination reason: Unknown
% 43.00/6.51 % (10006)Termination phase: Preprocessing 3
% 43.00/6.51
% 43.00/6.51 % (10006)Memory used [KB]: 32877
% 43.00/6.51 % (10006)Time elapsed: 0.201 s
% 43.00/6.51 % (10006)Instructions burned: 401 (million)
% 43.00/6.51 % (10006)------------------------------
% 43.00/6.51 % (10006)------------------------------
% 43.20/6.54 % (10008)Instruction limit reached!
% 43.20/6.54 % (10008)------------------------------
% 43.20/6.54 % (10008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 43.86/6.54 % (10008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 43.86/6.54 % (10008)Termination reason: Unknown
% 43.86/6.54 % (10008)Termination phase: Preprocessing 3
% 43.86/6.54
% 43.86/6.54 % (10008)Memory used [KB]: 26865
% 43.86/6.54 % (10008)Time elapsed: 0.221 s
% 43.86/6.54 % (10008)Instructions burned: 394 (million)
% 43.86/6.54 % (10008)------------------------------
% 43.86/6.54 % (10008)------------------------------
% 43.86/6.54 % (10022)ott+10_13:991_awrs=decay:awrsf=1:bd=preordered:drc=off:fd=preordered:sp=const_frequency:spb=goal_then_units:uwa=all:i=360:si=on:rawr=on:rtra=on_0 on theBenchmark for (2939ds/360Mi)
% 43.86/6.54 % (10013)Instruction limit reached!
% 43.86/6.54 % (10013)------------------------------
% 43.86/6.54 % (10013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 43.86/6.54 % (10013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 43.86/6.54 % (10013)Termination reason: Unknown
% 43.86/6.54 % (10013)Termination phase: Preprocessing 3
% 43.86/6.54
% 43.86/6.54 % (10013)Memory used [KB]: 26225
% 43.86/6.54 % (10013)Time elapsed: 0.160 s
% 43.86/6.54 % (10013)Instructions burned: 255 (million)
% 43.86/6.54 % (10013)------------------------------
% 43.86/6.54 % (10013)------------------------------
% 43.86/6.57 % (9938)Instruction limit reached!
% 43.86/6.57 % (9938)------------------------------
% 43.86/6.57 % (9938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 43.86/6.58 % (10000)Instruction limit reached!
% 43.86/6.58 % (10000)------------------------------
% 43.86/6.58 % (10000)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 43.86/6.59 % (9938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 43.86/6.59 % (9938)Termination reason: Unknown
% 43.86/6.59 % (9938)Termination phase: Saturation
% 43.86/6.59
% 43.86/6.59 % (9938)Memory used [KB]: 51171
% 43.86/6.59 % (9938)Time elapsed: 3.596 s
% 43.86/6.59 % (9938)Instructions burned: 3040 (million)
% 43.86/6.59 % (9938)------------------------------
% 43.86/6.59 % (9938)------------------------------
% 43.86/6.60 % (10000)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 43.86/6.60 % (10000)Termination reason: Unknown
% 43.86/6.60 % (10000)Termination phase: Preprocessing 3
% 43.86/6.60
% 43.86/6.60 % (10000)Memory used [KB]: 37739
% 43.86/6.60 % (10000)Time elapsed: 0.332 s
% 43.86/6.60 % (10000)Instructions burned: 690 (million)
% 43.86/6.60 % (10000)------------------------------
% 43.86/6.60 % (10000)------------------------------
% 44.49/6.62 % (10003)Instruction limit reached!
% 44.49/6.62 % (10003)------------------------------
% 44.49/6.62 % (10003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 44.49/6.62 % (10003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 44.49/6.62 % (10003)Termination reason: Unknown
% 44.49/6.62 % (10003)Termination phase: NewCNF
% 44.49/6.62
% 44.49/6.62 % (10003)Memory used [KB]: 27121
% 44.49/6.62 % (10003)Time elapsed: 0.217 s
% 44.49/6.62 % (10003)Instructions burned: 498 (million)
% 44.49/6.62 % (10003)------------------------------
% 44.49/6.62 % (10003)------------------------------
% 44.49/6.66 % (10024)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=982:si=on:rawr=on:rtra=on_0 on theBenchmark for (2937ds/982Mi)
% 44.49/6.67 % (10023)dis+1003_1:1_bce=on:fs=off:fsr=off:gs=on:newcnf=on:plsq=on:plsqr=32,1:skr=on:sos=on:sp=frequency:spb=units:i=660:si=on:rawr=on:rtra=on_0 on theBenchmark for (2938ds/660Mi)
% 44.49/6.68 % (10021)Instruction limit reached!
% 44.49/6.68 % (10021)------------------------------
% 44.49/6.68 % (10021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 44.49/6.68 % (10021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 44.49/6.68 % (10021)Termination reason: Unknown
% 44.49/6.68 % (10021)Termination phase: Preprocessing 1
% 44.49/6.68
% 44.49/6.68 % (10021)Memory used [KB]: 13048
% 44.49/6.68 % (10021)Time elapsed: 0.053 s
% 44.49/6.68 % (10021)Instructions burned: 111 (million)
% 44.49/6.68 % (10021)------------------------------
% 44.49/6.68 % (10021)------------------------------
% 44.96/6.69 % (10025)dis+1011_39044:804583_anc=all:avsq=on:avsqr=302,909:awrs=decay:awrsf=20:bd=off:bsr=on:cond=on:gsp=on:nm=0:nwc=2.0:plsq=on:plsqr=9,13:s2a=on:s2agt=16:sac=on:thsq=on:thsqc=32:thsqd=32:thsql=off:to=lpo:updr=off:uwa=all:i=1174:si=on:rawr=on:rtra=on_0 on theBenchmark for (2937ds/1174Mi)
% 44.96/6.72 % (10026)dis+1003_1:128_avsq=on:bce=on:newcnf=on:urr=on:i=91:si=on:rawr=on:rtra=on_0 on theBenchmark for (2937ds/91Mi)
% 44.96/6.73 % (10027)dis+10_1:1_ep=R:fde=none:fsr=off:slsq=on:slsqc=1:slsql=off:slsqr=1,4:ss=axioms:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2937ds/248Mi)
% 44.96/6.75 % (10028)fmb+10_1:1_fde=unused:fmbas=predicate:gsp=on:newcnf=on:nm=0:i=1985:si=on:rawr=on:rtra=on_0 on theBenchmark for (2937ds/1985Mi)
% 45.46/6.77 % (9984)Instruction limit reached!
% 45.46/6.77 % (9984)------------------------------
% 45.46/6.77 % (9984)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 45.55/6.78 % (10020)Instruction limit reached!
% 45.55/6.78 % (10020)------------------------------
% 45.55/6.78 % (10020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 45.55/6.78 % (10020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 45.55/6.78 % (10020)Termination reason: Unknown
% 45.55/6.78 % (10020)Termination phase: Preprocessing 3
% 45.55/6.78
% 45.55/6.78 % (10020)Memory used [KB]: 19573
% 45.55/6.78 % (10020)Time elapsed: 0.131 s
% 45.55/6.78 % (10020)Instructions burned: 235 (million)
% 45.55/6.78 % (10020)------------------------------
% 45.55/6.78 % (10020)------------------------------
% 45.55/6.80 % (9984)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 45.55/6.80 % (9984)Termination reason: Unknown
% 45.55/6.80 % (9984)Termination phase: Property scanning
% 45.55/6.80
% 45.55/6.80 % (9984)Memory used [KB]: 42088
% 45.55/6.80 % (9984)Time elapsed: 0.572 s
% 45.55/6.80 % (9984)Instructions burned: 1537 (million)
% 45.55/6.80 % (9984)------------------------------
% 45.55/6.80 % (9984)------------------------------
% 45.73/6.83 % (10029)lrs+1002_1:1_sd=2:sos=on:ss=axioms:st=5.0:i=555:si=on:rawr=on:rtra=on_0 on theBenchmark for (2936ds/555Mi)
% 45.87/6.83 % (9989)Instruction limit reached!
% 45.87/6.83 % (9989)------------------------------
% 45.87/6.83 % (9989)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 45.87/6.83 % (9989)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 45.87/6.83 % (9989)Termination reason: Unknown
% 45.87/6.83 % (9989)Termination phase: Property scanning
% 45.87/6.83
% 45.87/6.83 % (9989)Memory used [KB]: 42088
% 45.87/6.83 % (9989)Time elapsed: 0.535 s
% 45.87/6.83 % (9989)Instructions burned: 1275 (million)
% 45.87/6.83 % (9989)------------------------------
% 45.87/6.83 % (9989)------------------------------
% 45.87/6.87 % (10026)Instruction limit reached!
% 45.87/6.87 % (10026)------------------------------
% 45.87/6.87 % (10026)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 45.87/6.87 % (10026)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 45.87/6.87 % (10026)Termination reason: Unknown
% 45.87/6.87 % (10026)Termination phase: Preprocessing 1
% 45.87/6.87
% 45.87/6.87 % (10026)Memory used [KB]: 18677
% 45.87/6.87 % (10026)Time elapsed: 0.067 s
% 45.87/6.87 % (10026)Instructions burned: 91 (million)
% 45.87/6.87 % (10026)------------------------------
% 45.87/6.87 % (10026)------------------------------
% 45.87/6.88 % (9994)Instruction limit reached!
% 45.87/6.88 % (9994)------------------------------
% 45.87/6.88 % (9994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 45.87/6.88 % (9994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 45.87/6.88 % (9994)Termination reason: Unknown
% 45.87/6.88 % (9994)Termination phase: Property scanning
% 45.87/6.88
% 45.87/6.88 % (9994)Memory used [KB]: 41960
% 45.87/6.88 % (9994)Time elapsed: 0.477 s
% 45.87/6.88 % (9994)Instructions burned: 1117 (million)
% 45.87/6.88 % (9994)------------------------------
% 45.87/6.88 % (9994)------------------------------
% 45.87/6.89 % (9942)Instruction limit reached!
% 45.87/6.89 % (9942)------------------------------
% 45.87/6.89 % (9942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 45.87/6.89 % (9942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 45.87/6.90 % (9942)Termination reason: Unknown
% 45.87/6.90 % (9942)Termination phase: 9942 Aborted by signal SIGSEGV on /export/starexec/sandbox2/benchmark/theBenchmark.p
% 45.87/6.90 % (9942)------------------------------
% 45.87/6.90 % (9942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 45.87/6.90 % (9942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 45.87/6.90 % (9942)Termination reason: Unknown
% 46.46/6.92 % (10030)lrs+1011_2:1_add=off:amm=sco:anc=none:br=off:sd=1:sos=all:ss=axioms:st=1.5:updr=off:urr=on:i=484:si=on:rawr=on:rtra=on_0 on theBenchmark for (2935ds/484Mi)
% 46.46/6.93 % (10031)lrs+1011_1:5_add=large:afp=4000:anc=none:irw=on:lma=on:nm=64:sac=on:sd=3:sos=on:sp=reverse_arity:ss=axioms:st=2.0:stl=30:updr=off:urr=on:i=362:si=on:rawr=on:rtra=on_0 on theBenchmark for (2935ds/362Mi)
% 46.46/6.97 % (10032)ott+11_4:1_br=off:fde=unused:nm=16:s2a=on:sd=3:sp=frequency:ss=axioms:urr=on:i=5368:si=on:rawr=on:rtra=on_0 on theBenchmark for (2935ds/5368Mi)
% 46.85/7.00 % (10012)Instruction limit reached!
% 46.85/7.00 % (10012)------------------------------
% 46.85/7.00 % (10012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 46.85/7.00 % (10012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 46.85/7.00 % (10012)Termination reason: Unknown
% 46.85/7.00 % (10012)Termination phase: Preprocessing 3
% 46.85/7.00
% 46.85/7.00 % (10012)Memory used [KB]: 37227
% 46.85/7.00 % (10012)Time elapsed: 0.327 s
% 46.85/7.00 % (10012)Instructions burned: 668 (million)
% 46.85/7.00 % (10012)------------------------------
% 46.85/7.00 % (10012)------------------------------
% 46.85/7.01 % (10033)ott+4_8:1_acc=on:fsr=off:lcm=reverse:lma=on:sd=2:sos=all:ss=axioms:st=1.5:i=121:si=on:rawr=on:rtra=on_0 on theBenchmark for (2934ds/121Mi)
% 46.85/7.04 % (10034)lrs+1011_1:1_afq=1.4:bd=off:cond=fast:fde=unused:gs=on:gsem=off:irw=on:lma=on:sd=2:sos=all:sp=const_min:ss=axioms:stl=40:i=256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2934ds/256Mi)
% 46.85/7.05 % (10022)Instruction limit reached!
% 46.85/7.05 % (10022)------------------------------
% 46.85/7.05 % (10022)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 46.85/7.05 % (10022)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 46.85/7.05 % (10022)Termination reason: Unknown
% 46.85/7.05 % (10022)Termination phase: Preprocessing 3
% 46.85/7.05
% 46.85/7.05 % (10022)Memory used [KB]: 28016
% 46.85/7.05 % (10022)Time elapsed: 0.235 s
% 46.85/7.05 % (10022)Instructions burned: 361 (million)
% 46.85/7.05 % (10022)------------------------------
% 46.85/7.05 % (10022)------------------------------
% 47.33/7.10 % (10027)Instruction limit reached!
% 47.33/7.10 % (10027)------------------------------
% 47.33/7.10 % (10027)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 47.33/7.10 % (10027)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 47.33/7.10 % (10027)Termination reason: Unknown
% 47.33/7.10 % (10027)Termination phase: Preprocessing 1
% 47.33/7.10
% 47.33/7.10 % (10027)Memory used [KB]: 17270
% 47.33/7.10 % (10027)Time elapsed: 0.112 s
% 47.33/7.10 % (10027)Instructions burned: 250 (million)
% 47.33/7.10 % (10027)------------------------------
% 47.33/7.10 % (10027)------------------------------
% 48.50/7.12 % (10035)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=6912:si=on:rawr=on:rtra=on_0 on theBenchmark for (2933ds/6912Mi)
% 48.65/7.17 % (10018)Instruction limit reached!
% 48.65/7.17 % (10018)------------------------------
% 48.65/7.17 % (10018)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 48.65/7.19 % (10018)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 48.65/7.19 % (10018)Termination reason: Unknown
% 48.65/7.19 % (10018)Termination phase: Preprocessing 3
% 48.65/7.19
% 48.65/7.19 % (10018)Memory used [KB]: 35564
% 48.65/7.19 % (10018)Time elapsed: 0.252 s
% 48.65/7.19 % (10018)Instructions burned: 563 (million)
% 48.65/7.19 % (10018)------------------------------
% 48.65/7.19 % (10018)------------------------------
% 48.65/7.20 % (10033)Instruction limit reached!
% 48.65/7.20 % (10033)------------------------------
% 48.65/7.20 % (10033)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 48.65/7.20 % (10033)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 48.65/7.20 % (10033)Termination reason: Unknown
% 48.65/7.20 % (10033)Termination phase: SInE selection
% 48.65/7.20
% 48.65/7.20 % (10033)Memory used [KB]: 12665
% 48.65/7.20 % (10033)Time elapsed: 0.053 s
% 48.65/7.20 % (10033)Instructions burned: 121 (million)
% 48.65/7.20 % (10033)------------------------------
% 48.65/7.20 % (10033)------------------------------
% 48.65/7.21 % (10036)dis+10_3:2_br=off:sas=z3:sd=3:sos=all:ss=axioms:st=3.0:urr=on:i=525:si=on:rawr=on:rtra=on_0 on theBenchmark for (2932ds/525Mi)
% 49.41/7.24 % (10037)lrs+1002_1:1_amm=off:cond=on:sd=3:sos=on:ss=axioms:st=1.5:i=600:si=on:rawr=on:rtra=on_0 on theBenchmark for (2932ds/600Mi)
% 49.41/7.25 % (9979)Instruction limit reached!
% 49.41/7.25 % (9979)------------------------------
% 49.41/7.25 % (9979)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 49.41/7.25 % (9979)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 49.41/7.25 % (9979)Termination reason: Unknown
% 49.41/7.25 % (9979)Termination phase: Saturation
% 49.41/7.25
% 49.41/7.25 % (9979)Memory used [KB]: 47206
% 49.41/7.25 % (9979)Time elapsed: 0.846 s
% 49.41/7.25 % (9979)Instructions burned: 2016 (million)
% 49.41/7.25 % (9979)------------------------------
% 49.41/7.25 % (9979)------------------------------
% 49.80/7.30 % (10038)dis+1011_1:1_av=off:ep=RSTC:rp=on:sos=on:i=723:si=on:rawr=on:rtra=on_0 on theBenchmark for (2931ds/723Mi)
% 49.80/7.31 % (10019)Instruction limit reached!
% 49.80/7.31 % (10019)------------------------------
% 49.80/7.31 % (10019)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 49.80/7.31 % (10019)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 49.80/7.31 % (10019)Termination reason: Unknown
% 49.80/7.31 % (10019)Termination phase: Preprocessing 3
% 49.80/7.31
% 49.80/7.31 % (10019)Memory used [KB]: 36459
% 49.80/7.31 % (10019)Time elapsed: 0.311 s
% 49.80/7.31 % (10019)Instructions burned: 605 (million)
% 49.80/7.31 % (10019)------------------------------
% 49.80/7.31 % (10019)------------------------------
% 49.80/7.34 % (10039)lrs+1002_1:1_bd=off:sd=2:sos=on:ss=axioms:st=2.0:i=4344:si=on:rawr=on:rtra=on_0 on theBenchmark for (2931ds/4344Mi)
% 50.37/7.36 % (10034)Instruction limit reached!
% 50.37/7.36 % (10034)------------------------------
% 50.37/7.36 % (10034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 50.37/7.36 % (10034)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 50.37/7.36 % (10034)Termination reason: Unknown
% 50.37/7.36 % (10034)Termination phase: Property scanning
% 50.37/7.36
% 50.37/7.36 % (10034)Memory used [KB]: 18677
% 50.37/7.36 % (10034)Time elapsed: 0.114 s
% 50.37/7.36 % (10034)Instructions burned: 259 (million)
% 50.37/7.36 % (10034)------------------------------
% 50.37/7.36 % (10034)------------------------------
% 50.43/7.39 % (10040)lrs+10_1:1_av=off:gs=on:sd=2:sos=all:ss=axioms:st=2.0:i=873:si=on:rawr=on:rtra=on_0 on theBenchmark for (2930ds/873Mi)
% 50.43/7.40 % (10031)Instruction limit reached!
% 50.43/7.40 % (10031)------------------------------
% 50.43/7.40 % (10031)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 50.43/7.41 % (10031)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 50.43/7.41 % (10031)Termination reason: Unknown
% 50.43/7.41 % (10031)Termination phase: Preprocessing 3
% 50.43/7.41
% 50.43/7.41 % (10031)Memory used [KB]: 23794
% 50.43/7.41 % (10031)Time elapsed: 0.199 s
% 50.43/7.41 % (10031)Instructions burned: 362 (million)
% 50.43/7.41 % (10031)------------------------------
% 50.43/7.41 % (10031)------------------------------
% 50.68/7.44 % (10041)lrs+1010_1:128_nm=2:i=973:si=on:rawr=on:rtra=on_0 on theBenchmark for (2930ds/973Mi)
% 50.92/7.48 % (10042)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=98:si=on:rawr=on:rtra=on_0 on theBenchmark for (2929ds/98Mi)
% 50.92/7.50 % (9949)Instruction limit reached!
% 50.92/7.50 % (9949)------------------------------
% 50.92/7.50 % (9949)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 50.92/7.50 % (9949)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 50.92/7.50 % (9949)Termination reason: Unknown
% 50.92/7.50 % (9949)Termination phase: Saturation
% 50.92/7.50
% 50.92/7.50 % (9949)Memory used [KB]: 50916
% 50.92/7.50 % (9949)Time elapsed: 1.660 s
% 50.92/7.50 % (9949)Instructions burned: 3382 (million)
% 50.92/7.50 % (9949)------------------------------
% 50.92/7.50 % (9949)------------------------------
% 50.92/7.52 % (10023)Instruction limit reached!
% 50.92/7.52 % (10023)------------------------------
% 50.92/7.52 % (10023)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 51.48/7.53 % (10023)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 51.48/7.53 % (10023)Termination reason: Unknown
% 51.48/7.53 % (10023)Termination phase: NewCNF
% 51.48/7.53
% 51.48/7.53 % (10023)Memory used [KB]: 34413
% 51.48/7.53 % (10023)Time elapsed: 0.283 s
% 51.48/7.53 % (10023)Instructions burned: 662 (million)
% 51.48/7.53 % (10023)------------------------------
% 51.48/7.53 % (10023)------------------------------
% 51.48/7.56 % (10043)ins+10_1:1_igbrr=1.0:igpr=on:igrp=4000:igrpq=1.5:igs=1010:i=911:si=on:rawr=on:rtra=on_0 on theBenchmark for (2929ds/911Mi)
% 51.48/7.58 % (9976)Instruction limit reached!
% 51.48/7.58 % (9976)------------------------------
% 51.48/7.58 % (9976)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 51.48/7.58 % (9976)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 51.48/7.58 % (9976)Termination reason: Unknown
% 51.48/7.58 % (9976)Termination phase: Property scanning
% 51.48/7.58
% 51.48/7.58 % (9976)Memory used [KB]: 38123
% 51.48/7.58 % (9976)Time elapsed: 0.960 s
% 51.48/7.58 % (9976)Instructions burned: 2850 (million)
% 51.48/7.58 % (9976)------------------------------
% 51.48/7.58 % (9976)------------------------------
% 51.48/7.58 % (10029)Instruction limit reached!
% 51.48/7.58 % (10029)------------------------------
% 51.48/7.58 % (10029)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 51.48/7.58 % (10029)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 51.48/7.58 % (10029)Termination reason: Unknown
% 51.48/7.58 % (10029)Termination phase: Preprocessing 3
% 51.48/7.58
% 51.48/7.58 % (10029)Memory used [KB]: 27121
% 51.48/7.58 % (10029)Time elapsed: 0.298 s
% 51.48/7.58 % (10029)Instructions burned: 556 (million)
% 51.48/7.58 % (10029)------------------------------
% 51.48/7.58 % (10029)------------------------------
% 51.85/7.60 % (10030)Instruction limit reached!
% 51.85/7.60 % (10030)------------------------------
% 51.85/7.60 % (10030)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 51.85/7.60 % (10030)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 51.85/7.60 % (10030)Termination reason: Unknown
% 51.85/7.60 % (10030)Termination phase: Saturation
% 51.85/7.60
% 51.85/7.60 % (10030)Memory used [KB]: 23283
% 51.85/7.60 % (10030)Time elapsed: 0.595 s
% 51.85/7.60 % (10030)Instructions burned: 485 (million)
% 51.85/7.60 % (10030)------------------------------
% 51.85/7.60 % (10030)------------------------------
% 51.85/7.64 % (10045)lrs+10_1:1_sd=1:sos=on:spb=goal_then_units:ss=included:to=lpo:i=3417:si=on:rawr=on:rtra=on_0 on theBenchmark for (2927ds/3417Mi)
% 51.85/7.65 % (10042)Instruction limit reached!
% 51.85/7.65 % (10042)------------------------------
% 51.85/7.65 % (10042)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 51.85/7.65 % (10042)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 51.85/7.65 % (10042)Termination reason: Unknown
% 51.85/7.65 % (10042)Termination phase: SInE selection
% 51.85/7.65
% 51.85/7.65 % (10042)Memory used [KB]: 12665
% 51.85/7.65 % (10042)Time elapsed: 0.050 s
% 51.85/7.65 % (10042)Instructions burned: 100 (million)
% 51.85/7.65 % (10042)------------------------------
% 51.85/7.65 % (10042)------------------------------
% 52.24/7.67 % (10044)lrs+10_1:1024_aac=none:acc=model:anc=all_dependent:avsq=on:avsqc=1:avsqr=9,4:drc=off:fd=preordered:sac=on:urr=ec_only:i=3342:si=on:rawr=on:rtra=on_0 on theBenchmark for (2928ds/3342Mi)
% 53.33/7.72 % (10046)lrs+1011_1:64_fsd=on:nwc=2.0:ss=included:st=3.0:i=446:si=on:rawr=on:rtra=on_0 on theBenchmark for (2927ds/446Mi)
% 53.33/7.73 % (10047)dis+1011_2388710:563463_bce=on:ep=RS:erd=off:fs=off:fsr=off:sp=frequency:i=301:si=on:rawr=on:rtra=on_0 on theBenchmark for (2927ds/301Mi)
% 53.33/7.73 % (10007)Instruction limit reached!
% 53.33/7.73 % (10007)------------------------------
% 53.33/7.73 % (10007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 53.33/7.74 % (10007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 53.33/7.74 % (10007)Termination reason: Unknown
% 53.33/7.74 % (10007)Termination phase: Property scanning
% 53.33/7.74
% 53.33/7.74 % (10007)Memory used [KB]: 42216
% 53.33/7.74 % (10007)Time elapsed: 0.708 s
% 53.33/7.74 % (10007)Instructions burned: 1879 (million)
% 53.33/7.74 % (10007)------------------------------
% 53.33/7.74 % (10007)------------------------------
% 53.33/7.74 % (10048)lrs+10_1:1_sd=4:sos=on:spb=goal:ss=axioms:st=3.7:to=lpo:urr=on:i=480:si=on:rawr=on:rtra=on_0 on theBenchmark for (2927ds/480Mi)
% 53.56/7.78 % (9986)First to succeed.
% 53.56/7.78 % (10049)lrs+1002_1:7_sos=on:i=1851:si=on:rawr=on:rtra=on_0 on theBenchmark for (2926ds/1851Mi)
% 53.56/7.80 % (10017)Instruction limit reached!
% 53.56/7.80 % (10017)------------------------------
% 53.56/7.80 % (10017)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 53.56/7.80 % (10017)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 53.56/7.80 % (10017)Termination reason: Unknown
% 53.56/7.80 % (10017)Termination phase: Property scanning
% 53.56/7.80
% 53.56/7.80 % (10017)Memory used [KB]: 42472
% 53.56/7.80 % (10017)Time elapsed: 0.526 s
% 53.56/7.80 % (10017)Instructions burned: 1045 (million)
% 53.56/7.80 % (10017)------------------------------
% 53.56/7.80 % (10017)------------------------------
% 54.15/7.83 % (10024)Instruction limit reached!
% 54.15/7.83 % (10024)------------------------------
% 54.15/7.83 % (10024)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 54.15/7.85 % (10024)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 54.15/7.85 % (10024)Termination reason: Unknown
% 54.15/7.85 % (10024)Termination phase: Property scanning
% 54.15/7.85
% 54.15/7.85 % (10024)Memory used [KB]: 41960
% 54.15/7.85 % (10024)Time elapsed: 0.440 s
% 54.15/7.85 % (10024)Instructions burned: 984 (million)
% 54.15/7.85 % (10024)------------------------------
% 54.15/7.85 % (10024)------------------------------
% 54.54/7.88 % (10050)lrs+10_5:1_bce=on:bd=off:bsr=unit_only:s2a=on:sos=all:sp=reverse_arity:ss=axioms:st=2.0:to=lpo:urr=on:i=598:si=on:rawr=on:rtra=on_0 on theBenchmark for (2925ds/598Mi)
% 54.54/7.89 % (10014)Instruction limit reached!
% 54.54/7.89 % (10014)------------------------------
% 54.54/7.89 % (10014)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 54.54/7.91 % (10014)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 54.54/7.91 % (10014)Termination reason: Unknown
% 54.54/7.91 % (10014)Termination phase: Property scanning
% 54.54/7.91
% 54.54/7.91 % (10014)Memory used [KB]: 42344
% 54.54/7.91 % (10014)Time elapsed: 0.636 s
% 54.54/7.91 % (10014)Instructions burned: 1455 (million)
% 54.54/7.91 % (10014)------------------------------
% 54.54/7.91 % (10014)------------------------------
% 54.54/7.92 % (9924)Instruction limit reached!
% 54.54/7.92 % (9924)------------------------------
% 54.54/7.92 % (9924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 54.54/7.93 % (9924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 54.54/7.93 % (9924)Termination reason: Unknown
% 54.54/7.93 % (9924)Termination phase: Saturation
% 54.54/7.93
% 54.54/7.93 % (9924)Memory used [KB]: 71000
% 54.54/7.93 % (9924)Time elapsed: 5.197 s
% 54.54/7.93 % (9924)Instructions burned: 3303 (million)
% 54.54/7.93 % (9924)------------------------------
% 54.54/7.93 % (9924)------------------------------
% 55.05/7.96 % (10051)ott+10_1:1_br=off:fd=off:fde=unused:s2a=on:sd=2:sos=all:ss=axioms:st=2.0:to=lpo:urr=on:i=2282:si=on:rawr=on:rtra=on_0 on theBenchmark for (2925ds/2282Mi)
% 55.21/7.98 % (10036)Instruction limit reached!
% 55.21/7.98 % (10036)------------------------------
% 55.21/7.98 % (10036)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 55.21/7.98 % (10036)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 55.21/7.98 % (10036)Termination reason: Unknown
% 55.21/7.98 % (10036)Termination phase: Preprocessing 3
% 55.21/7.98
% 55.21/7.98 % (10036)Memory used [KB]: 27249
% 55.21/7.98 % (10036)Time elapsed: 0.218 s
% 55.21/7.98 % (10036)Instructions burned: 525 (million)
% 55.21/7.98 % (10036)------------------------------
% 55.21/7.98 % (10036)------------------------------
% 55.21/7.99 % (10052)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=2179:si=on:rawr=on:rtra=on_0 on theBenchmark for (2924ds/2179Mi)
% 55.21/8.00 % (9986)Refutation found. Thanks to Tanya!
% 55.21/8.00 % SZS status Theorem for theBenchmark
% 55.21/8.00 % SZS output start Proof for theBenchmark
% See solution above
% 55.21/8.00 % (9986)------------------------------
% 55.21/8.00 % (9986)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 55.21/8.00 % (9986)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 55.21/8.00 % (9986)Termination reason: Refutation
% 55.21/8.00
% 55.21/8.00 % (9986)Memory used [KB]: 39402
% 55.21/8.00 % (9986)Time elapsed: 2.545 s
% 55.21/8.00 % (9986)Instructions burned: 2282 (million)
% 55.21/8.00 % (9986)------------------------------
% 55.21/8.00 % (9986)------------------------------
% 55.21/8.00 % (9698)Success in time 7.657 s
%------------------------------------------------------------------------------