TSTP Solution File: HWV019-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HWV019-2 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Tue Apr 30 12:22:48 EDT 2024
% Result : Unsatisfiable 0.20s 0.41s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 242
% Syntax : Number of formulae : 398 ( 148 unt; 0 def)
% Number of atoms : 954 ( 127 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 889 ( 333 ~; 430 |; 0 &)
% ( 126 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 131 ( 129 usr; 127 prp; 0-2 aty)
% Number of functors : 46 ( 46 usr; 8 con; 0-3 aty)
% Number of variables : 394 ( 394 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1074,plain,
$false,
inference(avatar_sat_refutation,[],[f148,f153,f158,f163,f168,f173,f177,f182,f186,f191,f195,f199,f203,f207,f211,f215,f222,f226,f231,f235,f239,f243,f247,f251,f255,f259,f263,f267,f272,f277,f281,f285,f289,f293,f297,f301,f305,f309,f313,f317,f321,f325,f329,f338,f342,f346,f350,f354,f358,f362,f366,f370,f374,f378,f382,f386,f390,f394,f398,f402,f406,f410,f426,f458,f462,f466,f470,f474,f478,f482,f486,f490,f494,f498,f519,f540,f544,f548,f552,f556,f560,f618,f622,f648,f652,f656,f668,f672,f676,f680,f684,f688,f692,f696,f700,f704,f784,f800,f804,f808,f812,f846,f851,f855,f859,f863,f883,f887,f891,f895,f933,f937,f941,f945,f949,f954,f958,f962,f1044,f1048,f1052,f1056,f1060,f1064,f1068,f1073]) ).
fof(f1073,plain,
( ~ spl0_2
| spl0_3
| spl0_1
| spl0_104
| ~ spl0_4
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f969,f935,f160,f848,f145,f155,f150]) ).
fof(f150,plain,
( spl0_2
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f155,plain,
( spl0_3
<=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f145,plain,
( spl0_1
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f848,plain,
( spl0_104
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f160,plain,
( spl0_4
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f935,plain,
( spl0_113
<=> ! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X10))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X10,n1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f969,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| ~ spl0_4
| ~ spl0_113 ),
inference(resolution,[],[f936,f162]) ).
fof(f162,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1)))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f936,plain,
( ! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X10,n1)))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X10))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10)) )
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f935]) ).
fof(f1068,plain,
spl0_126,
inference(avatar_split_clause,[],[f47,f1066]) ).
fof(f1066,plain,
( spl0_126
<=> ! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
| fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTrd__level_(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f47,axiom,
! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
| fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTrd__level_(X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_48) ).
fof(f1064,plain,
spl0_125,
inference(avatar_split_clause,[],[f46,f1062]) ).
fof(f1062,plain,
( spl0_125
<=> ! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f46,axiom,
! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_47) ).
fof(f1060,plain,
spl0_124,
inference(avatar_split_clause,[],[f34,f1058]) ).
fof(f1058,plain,
( spl0_124
<=> ! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
| fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTrd__level_(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f34,axiom,
! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
| fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTrd__level_(X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_35) ).
fof(f1056,plain,
spl0_123,
inference(avatar_split_clause,[],[f30,f1054]) ).
fof(f1054,plain,
( spl0_123
<=> ! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f30,axiom,
! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_31) ).
fof(f1052,plain,
spl0_122,
inference(avatar_split_clause,[],[f29,f1050]) ).
fof(f1050,plain,
( spl0_122
<=> ! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(X10,n1)) = fstd_DOTstandard_DOTmod_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTwr__level_(X10),n1),fwork_DOTfifo_DOTrtl_DOTfifo__length_) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f29,axiom,
! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(X10,n1)) = fstd_DOTstandard_DOTmod_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTwr__level_(X10),n1),fwork_DOTfifo_DOTrtl_DOTfifo__length_) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).
fof(f1048,plain,
spl0_121,
inference(avatar_split_clause,[],[f23,f1046]) ).
fof(f1046,plain,
( spl0_121
<=> ! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X10))
| fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTwr__level_(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f23,axiom,
! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X10))
| fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTwr__level_(X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
fof(f1044,plain,
spl0_120,
inference(avatar_split_clause,[],[f22,f1042]) ).
fof(f1042,plain,
( spl0_120
<=> ! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X10))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f22,axiom,
! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X10))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_23) ).
fof(f962,plain,
spl0_119,
inference(avatar_split_clause,[],[f48,f960]) ).
fof(f960,plain,
( spl0_119
<=> ! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f48,axiom,
! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_49) ).
fof(f958,plain,
spl0_118,
inference(avatar_split_clause,[],[f45,f956]) ).
fof(f956,plain,
( spl0_118
<=> ! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f45,axiom,
! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).
fof(f954,plain,
( spl0_117
| spl0_1
| spl0_104
| ~ spl0_2
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f864,f844,f150,f848,f145,f951]) ).
fof(f951,plain,
( spl0_117
<=> fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTrd__level_(t_206) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f844,plain,
( spl0_103
<=> ! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTrd__level_(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f864,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTrd__level_(t_206)
| ~ spl0_2
| ~ spl0_103 ),
inference(resolution,[],[f845,f152]) ).
fof(f152,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f845,plain,
( ! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTrd__level_(X10) )
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f949,plain,
spl0_116,
inference(avatar_split_clause,[],[f36,f947]) ).
fof(f947,plain,
( spl0_116
<=> ! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f36,axiom,
! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
fof(f945,plain,
spl0_115,
inference(avatar_split_clause,[],[f33,f943]) ).
fof(f943,plain,
( spl0_115
<=> ! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f33,axiom,
! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
fof(f941,plain,
spl0_114,
inference(avatar_split_clause,[],[f24,f939]) ).
fof(f939,plain,
( spl0_114
<=> ! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X10,n1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f24,axiom,
! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X10,n1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
fof(f937,plain,
spl0_113,
inference(avatar_split_clause,[],[f21,f935]) ).
fof(f21,axiom,
! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X10))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X10,n1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
fof(f933,plain,
spl0_112,
inference(avatar_split_clause,[],[f15,f931]) ).
fof(f931,plain,
( spl0_112
<=> ! [X6,X9] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6))
| ~ p_LES_EQU_(n0,X9)
| ~ p_LES_EQU_(X9,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))
| ~ p__pred_(f__index_(fwork_DOTfifo_DOTrtl_DOTdata__out_(f_ADD_(X6,n1)),X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f15,axiom,
! [X6,X9] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6))
| ~ p_LES_EQU_(n0,X9)
| ~ p_LES_EQU_(X9,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))
| ~ p__pred_(f__index_(fwork_DOTfifo_DOTrtl_DOTdata__out_(f_ADD_(X6,n1)),X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
fof(f895,plain,
spl0_111,
inference(avatar_split_clause,[],[f53,f893]) ).
fof(f893,plain,
( spl0_111
<=> ! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f53,axiom,
! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_54) ).
fof(f891,plain,
spl0_110,
inference(avatar_split_clause,[],[f52,f889]) ).
fof(f889,plain,
( spl0_110
<=> ! [X10] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f52,axiom,
! [X10] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_53) ).
fof(f887,plain,
spl0_109,
inference(avatar_split_clause,[],[f27,f885]) ).
fof(f885,plain,
( spl0_109
<=> ! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(X10))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f27,axiom,
! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(X10))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
fof(f883,plain,
spl0_108,
inference(avatar_split_clause,[],[f26,f881]) ).
fof(f881,plain,
( spl0_108
<=> ! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f26,axiom,
! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
fof(f863,plain,
spl0_107,
inference(avatar_split_clause,[],[f86,f861]) ).
fof(f861,plain,
( spl0_107
<=> ! [X70,X71,X72] :
( ~ p_LES_EQU_(length(X70),X71)
| f__index_(f__concat_(X70,X72),X71) = f__index_(X72,f_SUB_(X71,length(X70))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f86,axiom,
! [X72,X70,X71] :
( ~ p_LES_EQU_(length(X70),X71)
| f__index_(f__concat_(X70,X72),X71) = f__index_(X72,f_SUB_(X71,length(X70))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_87) ).
fof(f859,plain,
spl0_106,
inference(avatar_split_clause,[],[f51,f857]) ).
fof(f857,plain,
( spl0_106
<=> ! [X10] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTrd__level_(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f51,axiom,
! [X10] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTrd__level_(X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_52) ).
fof(f855,plain,
spl0_105,
inference(avatar_split_clause,[],[f50,f853]) ).
fof(f853,plain,
( spl0_105
<=> ! [X10] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f50,axiom,
! [X10] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_51) ).
fof(f851,plain,
( ~ spl0_104
| spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f813,f798,f160,f150,f145,f848]) ).
fof(f798,plain,
( spl0_99
<=> ! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X10,n1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f813,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ~ spl0_4
| ~ spl0_99 ),
inference(resolution,[],[f799,f162]) ).
fof(f799,plain,
( ! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X10,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10)) )
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f846,plain,
spl0_103,
inference(avatar_split_clause,[],[f16,f844]) ).
fof(f16,axiom,
! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTrd__level_(X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f812,plain,
spl0_102,
inference(avatar_split_clause,[],[f84,f810]) ).
fof(f810,plain,
( spl0_102
<=> ! [X66,X64,X65] :
( p_LES_EQU_(X64,n0)
| f__index_(f__cons_(X65,X66),X64) = f__index_(X66,f_SUB_(X64,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f84,axiom,
! [X65,X66,X64] :
( p_LES_EQU_(X64,n0)
| f__index_(f__cons_(X65,X66),X64) = f__index_(X66,f_SUB_(X64,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_85) ).
fof(f808,plain,
spl0_101,
inference(avatar_split_clause,[],[f56,f806]) ).
fof(f806,plain,
( spl0_101
<=> ! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X10,n1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f56,axiom,
! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X10,n1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).
fof(f804,plain,
spl0_100,
inference(avatar_split_clause,[],[f55,f802]) ).
fof(f802,plain,
( spl0_100
<=> ! [X10] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X10,n1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f55,axiom,
! [X10] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X10,n1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_56) ).
fof(f800,plain,
spl0_99,
inference(avatar_split_clause,[],[f40,f798]) ).
fof(f40,axiom,
! [X10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X10,n1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_41) ).
fof(f784,plain,
( spl0_98
| ~ spl0_13
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f514,f464,f201,f782]) ).
fof(f782,plain,
( spl0_98
<=> ! [X0] : ~ p_LES_EQU_(f__length_(fwork_DOTfifo_DOTrtl_DOTdata__in_(X0)),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f201,plain,
( spl0_13
<=> ! [X28] : ~ p_LES_EQU_(f_ADD_(X28,n1),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f464,plain,
( spl0_67
<=> ! [X0] : f_ADD_(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1),n1) = f__length_(fwork_DOTfifo_DOTrtl_DOTdata__in_(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f514,plain,
( ! [X0] : ~ p_LES_EQU_(f__length_(fwork_DOTfifo_DOTrtl_DOTdata__in_(X0)),n0)
| ~ spl0_13
| ~ spl0_67 ),
inference(superposition,[],[f202,f465]) ).
fof(f465,plain,
( ! [X0] : f_ADD_(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1),n1) = f__length_(fwork_DOTfifo_DOTrtl_DOTdata__in_(X0))
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f202,plain,
( ! [X28] : ~ p_LES_EQU_(f_ADD_(X28,n1),n0)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f704,plain,
spl0_97,
inference(avatar_split_clause,[],[f93,f702]) ).
fof(f702,plain,
( spl0_97
<=> ! [X93,X92,X94] : f__index_(f__xnor_(X92,X93),X94) = f__xnor_(f__index_(X92,X94),f__index_(X93,X94)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f93,axiom,
! [X94,X92,X93] : f__index_(f__xnor_(X92,X93),X94) = f__xnor_(f__index_(X92,X94),f__index_(X93,X94)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_94) ).
fof(f700,plain,
spl0_96,
inference(avatar_split_clause,[],[f92,f698]) ).
fof(f698,plain,
( spl0_96
<=> ! [X89,X91,X90] : f__index_(f__nor_(X89,X90),X91) = f__nor_(f__index_(X89,X91),f__index_(X90,X91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f92,axiom,
! [X90,X91,X89] : f__index_(f__nor_(X89,X90),X91) = f__nor_(f__index_(X89,X91),f__index_(X90,X91)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_93) ).
fof(f696,plain,
( spl0_95
| ~ spl0_12
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f508,f460,f197,f694]) ).
fof(f694,plain,
( spl0_95
<=> ! [X0] : f__length_(fwork_DOTfifo_DOTrtl_DOTdata__out_(X0)) != n0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f197,plain,
( spl0_12
<=> ! [X27] : n0 != f_ADD_(X27,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f460,plain,
( spl0_66
<=> ! [X0] : f__length_(fwork_DOTfifo_DOTrtl_DOTdata__out_(X0)) = f_ADD_(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f508,plain,
( ! [X0] : f__length_(fwork_DOTfifo_DOTrtl_DOTdata__out_(X0)) != n0
| ~ spl0_12
| ~ spl0_66 ),
inference(superposition,[],[f198,f461]) ).
fof(f461,plain,
( ! [X0] : f__length_(fwork_DOTfifo_DOTrtl_DOTdata__out_(X0)) = f_ADD_(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1),n1)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f198,plain,
( ! [X27] : n0 != f_ADD_(X27,n1)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f692,plain,
spl0_94,
inference(avatar_split_clause,[],[f91,f690]) ).
fof(f690,plain,
( spl0_94
<=> ! [X87,X86,X88] : f__index_(f__nand_(X86,X87),X88) = f__nand_(f__index_(X86,X88),f__index_(X87,X88)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f91,axiom,
! [X88,X86,X87] : f__index_(f__nand_(X86,X87),X88) = f__nand_(f__index_(X86,X88),f__index_(X87,X88)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_92) ).
fof(f688,plain,
spl0_93,
inference(avatar_split_clause,[],[f90,f686]) ).
fof(f686,plain,
( spl0_93
<=> ! [X84,X85,X83] : f__index_(f__xor_(X83,X84),X85) = f__xor_(f__index_(X83,X85),f__index_(X84,X85)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f90,axiom,
! [X83,X84,X85] : f__index_(f__xor_(X83,X84),X85) = f__xor_(f__index_(X83,X85),f__index_(X84,X85)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_91) ).
fof(f684,plain,
spl0_92,
inference(avatar_split_clause,[],[f89,f682]) ).
fof(f682,plain,
( spl0_92
<=> ! [X82,X80,X81] : f__index_(f__or_(X80,X81),X82) = f__or_(f__index_(X80,X82),f__index_(X81,X82)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f89,axiom,
! [X82,X80,X81] : f__index_(f__or_(X80,X81),X82) = f__or_(f__index_(X80,X82),f__index_(X81,X82)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_90) ).
fof(f680,plain,
spl0_91,
inference(avatar_split_clause,[],[f88,f678]) ).
fof(f678,plain,
( spl0_91
<=> ! [X77,X78,X79] : f__index_(f__and_(X77,X78),X79) = f__and_(f__index_(X77,X79),f__index_(X78,X79)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f88,axiom,
! [X78,X79,X77] : f__index_(f__and_(X77,X78),X79) = f__and_(f__index_(X77,X79),f__index_(X78,X79)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_89) ).
fof(f676,plain,
spl0_90,
inference(avatar_split_clause,[],[f85,f674]) ).
fof(f674,plain,
( spl0_90
<=> ! [X69,X67,X68] :
( p_LES_EQU_(length(X67),X68)
| f__index_(f__concat_(X67,X69),X68) = f__index_(X67,X68) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f85,axiom,
! [X68,X69,X67] :
( p_LES_EQU_(length(X67),X68)
| f__index_(f__concat_(X67,X69),X68) = f__index_(X67,X68) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_86) ).
fof(f672,plain,
spl0_89,
inference(avatar_split_clause,[],[f71,f670]) ).
fof(f670,plain,
( spl0_89
<=> ! [X45,X44] :
( p_LES_EQU_(X45,X44)
| ~ p_LES_EQU_(X45,f_ADD_(X44,n1))
| f_ADD_(X44,n1) = X45 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f71,axiom,
! [X44,X45] :
( p_LES_EQU_(X45,X44)
| ~ p_LES_EQU_(X45,f_ADD_(X44,n1))
| f_ADD_(X44,n1) = X45 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_72) ).
fof(f668,plain,
spl0_88,
inference(avatar_split_clause,[],[f41,f666]) ).
fof(f666,plain,
( spl0_88
<=> ! [X10] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTwr__level_(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f41,axiom,
! [X10] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTwr__level_(X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_42) ).
fof(f656,plain,
spl0_87,
inference(avatar_split_clause,[],[f143,f654]) ).
fof(f654,plain,
( spl0_87
<=> ! [X32,X30] :
( def_89(X30,f_ADD_(X32,X30))
| f_SUB_(f_ADD_(X32,X30),X30) = X32 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f143,plain,
! [X32,X30] :
( def_89(X30,f_ADD_(X32,X30))
| f_SUB_(f_ADD_(X32,X30),X30) = X32 ),
inference(equality_resolution,[],[f62]) ).
fof(f62,axiom,
! [X31,X32,X30] :
( def_89(X30,X31)
| f_ADD_(X32,X30) != X31
| f_SUB_(X31,X30) = X32 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_63) ).
fof(f652,plain,
( spl0_86
| ~ spl0_13
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f507,f460,f201,f650]) ).
fof(f650,plain,
( spl0_86
<=> ! [X0] : ~ p_LES_EQU_(f__length_(fwork_DOTfifo_DOTrtl_DOTdata__out_(X0)),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f507,plain,
( ! [X0] : ~ p_LES_EQU_(f__length_(fwork_DOTfifo_DOTrtl_DOTdata__out_(X0)),n0)
| ~ spl0_13
| ~ spl0_66 ),
inference(superposition,[],[f202,f461]) ).
fof(f648,plain,
spl0_85,
inference(avatar_split_clause,[],[f87,f646]) ).
fof(f646,plain,
( spl0_85
<=> ! [X74,X75,X76,X73] : f__index_(f__slice_(X73,X74,X75),X76) = f__index_(X73,f_ADD_(X76,X74)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f87,axiom,
! [X73,X76,X74,X75] : f__index_(f__slice_(X73,X74,X75),X76) = f__index_(X73,f_ADD_(X76,X74)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_88) ).
fof(f622,plain,
spl0_84,
inference(avatar_split_clause,[],[f81,f620]) ).
fof(f620,plain,
( spl0_84
<=> ! [X57,X56,X58] : f__length_(f__slice_(X56,X57,X58)) = f_SUB_(X58,f_ADD_(X57,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f81,axiom,
! [X58,X56,X57] : f__length_(f__slice_(X56,X57,X58)) = f_SUB_(X58,f_ADD_(X57,n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_82) ).
fof(f618,plain,
spl0_83,
inference(avatar_split_clause,[],[f68,f616]) ).
fof(f616,plain,
( spl0_83
<=> ! [X38,X37] :
( ~ p_LES_EQU_(X37,X38)
| X37 = X38
| p_LES_EQU_(f_ADD_(X37,n1),X38) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f68,axiom,
! [X38,X37] :
( ~ p_LES_EQU_(X37,X38)
| X37 = X38
| p_LES_EQU_(f_ADD_(X37,n1),X38) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_69) ).
fof(f560,plain,
( spl0_82
| ~ spl0_12
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f503,f456,f197,f558]) ).
fof(f558,plain,
( spl0_82
<=> ! [X0] : f__length_(fwork_DOTfifo_DOTrtl_DOTmem_(X0)) != n0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f456,plain,
( spl0_65
<=> ! [X0] : f__length_(fwork_DOTfifo_DOTrtl_DOTmem_(X0)) = f_ADD_(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f503,plain,
( ! [X0] : f__length_(fwork_DOTfifo_DOTrtl_DOTmem_(X0)) != n0
| ~ spl0_12
| ~ spl0_65 ),
inference(superposition,[],[f198,f457]) ).
fof(f457,plain,
( ! [X0] : f__length_(fwork_DOTfifo_DOTrtl_DOTmem_(X0)) = f_ADD_(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1),n1)
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f556,plain,
spl0_81,
inference(avatar_split_clause,[],[f142,f554]) ).
fof(f554,plain,
( spl0_81
<=> ! [X30,X31] :
( def_89(X30,X31)
| f_ADD_(f_SUB_(X31,X30),X30) = X31 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f142,plain,
! [X31,X30] :
( def_89(X30,X31)
| f_ADD_(f_SUB_(X31,X30),X30) = X31 ),
inference(equality_resolution,[],[f61]) ).
fof(f61,axiom,
! [X31,X32,X30] :
( def_89(X30,X31)
| f_SUB_(X31,X30) != X32
| f_ADD_(X32,X30) = X31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).
fof(f552,plain,
spl0_80,
inference(avatar_split_clause,[],[f80,f550]) ).
fof(f550,plain,
( spl0_80
<=> ! [X54,X55] : f__length_(f__concat_(X54,X55)) = f_ADD_(f__length_(X54),f__length_(X55)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f80,axiom,
! [X54,X55] : f__length_(f__concat_(X54,X55)) = f_ADD_(f__length_(X54),f__length_(X55)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_81) ).
fof(f548,plain,
spl0_79,
inference(avatar_split_clause,[],[f75,f546]) ).
fof(f546,plain,
( spl0_79
<=> ! [X50,X49] :
( X49 = X50
| f_ADD_(X49,n1) != f_ADD_(X50,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f75,axiom,
! [X50,X49] :
( X49 = X50
| f_ADD_(X49,n1) != f_ADD_(X50,n1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_76) ).
fof(f544,plain,
spl0_78,
inference(avatar_split_clause,[],[f66,f542]) ).
fof(f542,plain,
( spl0_78
<=> ! [X34,X33] :
( ~ p_LES_EQU_(X33,X34)
| p_LES_EQU_(f_ADD_(X33,n1),f_ADD_(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f66,axiom,
! [X34,X33] :
( ~ p_LES_EQU_(X33,X34)
| p_LES_EQU_(f_ADD_(X33,n1),f_ADD_(X34,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_67) ).
fof(f540,plain,
spl0_77,
inference(avatar_split_clause,[],[f65,f538]) ).
fof(f538,plain,
( spl0_77
<=> ! [X34,X33] :
( p_LES_EQU_(X33,X34)
| ~ p_LES_EQU_(f_ADD_(X33,n1),f_ADD_(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f65,axiom,
! [X34,X33] :
( p_LES_EQU_(X33,X34)
| ~ p_LES_EQU_(f_ADD_(X33,n1),f_ADD_(X34,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_66) ).
fof(f519,plain,
( spl0_76
| ~ spl0_13
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f502,f456,f201,f517]) ).
fof(f517,plain,
( spl0_76
<=> ! [X0] : ~ p_LES_EQU_(f__length_(fwork_DOTfifo_DOTrtl_DOTmem_(X0)),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f502,plain,
( ! [X0] : ~ p_LES_EQU_(f__length_(fwork_DOTfifo_DOTrtl_DOTmem_(X0)),n0)
| ~ spl0_13
| ~ spl0_65 ),
inference(superposition,[],[f202,f457]) ).
fof(f498,plain,
spl0_75,
inference(avatar_split_clause,[],[f94,f496]) ).
fof(f496,plain,
( spl0_75
<=> ! [X96,X95] : f__index_(f__not_(X95),X96) = f__not_(f__index_(X95,X96)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f94,axiom,
! [X96,X95] : f__index_(f__not_(X95),X96) = f__not_(f__index_(X95,X96)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_95) ).
fof(f494,plain,
spl0_74,
inference(avatar_split_clause,[],[f78,f492]) ).
fof(f492,plain,
( spl0_74
<=> ! [X52,X53] : f__length_(f__cons_(X52,X53)) = f_ADD_(f__length_(X53),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f78,axiom,
! [X52,X53] : f__length_(f__cons_(X52,X53)) = f_ADD_(f__length_(X53),n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_79) ).
fof(f490,plain,
spl0_73,
inference(avatar_split_clause,[],[f73,f488]) ).
fof(f488,plain,
( spl0_73
<=> ! [X47] :
( n0 = X47
| f_ADD_(y_105(X47),n1) = X47 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f73,axiom,
! [X47] :
( n0 = X47
| f_ADD_(y_105(X47),n1) = X47 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_74) ).
fof(f486,plain,
spl0_72,
inference(avatar_split_clause,[],[f70,f484]) ).
fof(f484,plain,
( spl0_72
<=> ! [X41,X43,X42] :
( ~ p_LES_EQU_(X41,X42)
| p_LES_EQU_(X41,X43)
| p_LES_EQU_(X43,X42) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f70,axiom,
! [X41,X42,X43] :
( ~ p_LES_EQU_(X41,X42)
| p_LES_EQU_(X41,X43)
| p_LES_EQU_(X43,X42) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_71) ).
fof(f482,plain,
spl0_71,
inference(avatar_split_clause,[],[f69,f480]) ).
fof(f480,plain,
( spl0_71
<=> ! [X40,X39] :
( ~ p_LES_EQU_(X40,X39)
| ~ p_LES_EQU_(X39,X40)
| X39 = X40 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f69,axiom,
! [X40,X39] :
( ~ p_LES_EQU_(X40,X39)
| ~ p_LES_EQU_(X39,X40)
| X39 = X40 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_70) ).
fof(f478,plain,
spl0_70,
inference(avatar_split_clause,[],[f11,f476]) ).
fof(f476,plain,
( spl0_70
<=> ! [X6] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6))
| n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X6,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f11,axiom,
! [X6] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6))
| n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X6,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(f474,plain,
spl0_69,
inference(avatar_split_clause,[],[f10,f472]) ).
fof(f472,plain,
( spl0_69
<=> ! [X6] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6))
| n0 = fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(X6,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f10,axiom,
! [X6] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6))
| n0 = fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(X6,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f470,plain,
spl0_68,
inference(avatar_split_clause,[],[f9,f468]) ).
fof(f468,plain,
( spl0_68
<=> ! [X6] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6))
| n0 = fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(X6,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f9,axiom,
! [X6] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6))
| n0 = fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(X6,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f466,plain,
spl0_67,
inference(avatar_split_clause,[],[f3,f464]) ).
fof(f3,axiom,
! [X0] : f_ADD_(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1),n1) = f__length_(fwork_DOTfifo_DOTrtl_DOTdata__in_(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f462,plain,
spl0_66,
inference(avatar_split_clause,[],[f2,f460]) ).
fof(f2,axiom,
! [X0] : f__length_(fwork_DOTfifo_DOTrtl_DOTdata__out_(X0)) = f_ADD_(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1),n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f458,plain,
spl0_65,
inference(avatar_split_clause,[],[f1,f456]) ).
fof(f1,axiom,
! [X0] : f__length_(fwork_DOTfifo_DOTrtl_DOTmem_(X0)) = f_ADD_(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1),n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f426,plain,
( ~ spl0_63
| ~ spl0_64
| ~ spl0_14
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f412,f336,f205,f423,f419]) ).
fof(f419,plain,
( spl0_63
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f423,plain,
( spl0_64
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f205,plain,
( spl0_14
<=> ! [X51] : f_ADD_(n0,X51) = X51 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f336,plain,
( spl0_44
<=> ! [X6] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X6,n1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f412,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(n1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(n0))
| ~ spl0_14
| ~ spl0_44 ),
inference(superposition,[],[f337,f206]) ).
fof(f206,plain,
( ! [X51] : f_ADD_(n0,X51) = X51
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f337,plain,
( ! [X6] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X6,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6)) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f410,plain,
spl0_62,
inference(avatar_split_clause,[],[f123,f408]) ).
fof(f408,plain,
( spl0_62
<=> ! [X112,X111] :
( p__pred_(X111)
| p__pred_(X112)
| p__pred_(f__xnor_(X112,X111)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f123,axiom,
! [X111,X112] :
( p__pred_(X111)
| p__pred_(X112)
| p__pred_(f__xnor_(X112,X111)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_124) ).
fof(f406,plain,
spl0_61,
inference(avatar_split_clause,[],[f122,f404]) ).
fof(f404,plain,
( spl0_61
<=> ! [X112,X111] :
( ~ p__pred_(X111)
| ~ p__pred_(X112)
| p__pred_(f__xnor_(X112,X111)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f122,axiom,
! [X111,X112] :
( ~ p__pred_(X111)
| ~ p__pred_(X112)
| p__pred_(f__xnor_(X112,X111)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_123) ).
fof(f402,plain,
spl0_60,
inference(avatar_split_clause,[],[f121,f400]) ).
fof(f400,plain,
( spl0_60
<=> ! [X112,X111] :
( ~ p__pred_(X111)
| p__pred_(X112)
| ~ p__pred_(f__xnor_(X112,X111)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f121,axiom,
! [X111,X112] :
( ~ p__pred_(X111)
| p__pred_(X112)
| ~ p__pred_(f__xnor_(X112,X111)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_122) ).
fof(f398,plain,
spl0_59,
inference(avatar_split_clause,[],[f120,f396]) ).
fof(f396,plain,
( spl0_59
<=> ! [X112,X111] :
( ~ p__pred_(X112)
| p__pred_(X111)
| ~ p__pred_(f__xnor_(X112,X111)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f120,axiom,
! [X111,X112] :
( ~ p__pred_(X112)
| p__pred_(X111)
| ~ p__pred_(f__xnor_(X112,X111)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_121) ).
fof(f394,plain,
spl0_58,
inference(avatar_split_clause,[],[f119,f392]) ).
fof(f392,plain,
( spl0_58
<=> ! [X109,X110] :
( p__pred_(X110)
| p__pred_(X109)
| p__pred_(f__nor_(X110,X109)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f119,axiom,
! [X109,X110] :
( p__pred_(X110)
| p__pred_(X109)
| p__pred_(f__nor_(X110,X109)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_120) ).
fof(f390,plain,
spl0_57,
inference(avatar_split_clause,[],[f114,f388]) ).
fof(f388,plain,
( spl0_57
<=> ! [X107,X108] :
( ~ p__pred_(X107)
| ~ p__pred_(X108)
| ~ p__pred_(f__nand_(X107,X108)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f114,axiom,
! [X108,X107] :
( ~ p__pred_(X107)
| ~ p__pred_(X108)
| ~ p__pred_(f__nand_(X107,X108)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_115) ).
fof(f386,plain,
spl0_56,
inference(avatar_split_clause,[],[f113,f384]) ).
fof(f384,plain,
( spl0_56
<=> ! [X105,X106] :
( ~ p__pred_(X105)
| p__pred_(X106)
| p__pred_(f__xor_(X106,X105)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f113,axiom,
! [X106,X105] :
( ~ p__pred_(X105)
| p__pred_(X106)
| p__pred_(f__xor_(X106,X105)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_114) ).
fof(f382,plain,
spl0_55,
inference(avatar_split_clause,[],[f112,f380]) ).
fof(f380,plain,
( spl0_55
<=> ! [X105,X106] :
( ~ p__pred_(X106)
| p__pred_(X105)
| p__pred_(f__xor_(X106,X105)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f112,axiom,
! [X106,X105] :
( ~ p__pred_(X106)
| p__pred_(X105)
| p__pred_(f__xor_(X106,X105)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_113) ).
fof(f378,plain,
spl0_54,
inference(avatar_split_clause,[],[f111,f376]) ).
fof(f376,plain,
( spl0_54
<=> ! [X105,X106] :
( p__pred_(X105)
| p__pred_(X106)
| ~ p__pred_(f__xor_(X106,X105)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f111,axiom,
! [X106,X105] :
( p__pred_(X105)
| p__pred_(X106)
| ~ p__pred_(f__xor_(X106,X105)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_112) ).
fof(f374,plain,
spl0_53,
inference(avatar_split_clause,[],[f110,f372]) ).
fof(f372,plain,
( spl0_53
<=> ! [X105,X106] :
( ~ p__pred_(X105)
| ~ p__pred_(X106)
| ~ p__pred_(f__xor_(X106,X105)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f110,axiom,
! [X106,X105] :
( ~ p__pred_(X105)
| ~ p__pred_(X106)
| ~ p__pred_(f__xor_(X106,X105)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_111) ).
fof(f370,plain,
spl0_52,
inference(avatar_split_clause,[],[f107,f368]) ).
fof(f368,plain,
( spl0_52
<=> ! [X104,X103] :
( p__pred_(X103)
| p__pred_(X104)
| ~ p__pred_(f__or_(X103,X104)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f107,axiom,
! [X104,X103] :
( p__pred_(X103)
| p__pred_(X104)
| ~ p__pred_(f__or_(X103,X104)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_108) ).
fof(f366,plain,
spl0_51,
inference(avatar_split_clause,[],[f106,f364]) ).
fof(f364,plain,
( spl0_51
<=> ! [X102,X101] :
( ~ p__pred_(X102)
| ~ p__pred_(X101)
| p__pred_(f__and_(X102,X101)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f106,axiom,
! [X101,X102] :
( ~ p__pred_(X102)
| ~ p__pred_(X101)
| p__pred_(f__and_(X102,X101)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_107) ).
fof(f362,plain,
spl0_50,
inference(avatar_split_clause,[],[f101,f360]) ).
fof(f360,plain,
( spl0_50
<=> ! [X98,X97] :
( p__pred_(X97)
| p__pred_(X98)
| p__pred_(f__equiv_(X98,X97)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f101,axiom,
! [X98,X97] :
( p__pred_(X97)
| p__pred_(X98)
| p__pred_(f__equiv_(X98,X97)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_102) ).
fof(f358,plain,
spl0_49,
inference(avatar_split_clause,[],[f100,f356]) ).
fof(f356,plain,
( spl0_49
<=> ! [X98,X97] :
( ~ p__pred_(X97)
| ~ p__pred_(X98)
| p__pred_(f__equiv_(X98,X97)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f100,axiom,
! [X98,X97] :
( ~ p__pred_(X97)
| ~ p__pred_(X98)
| p__pred_(f__equiv_(X98,X97)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_101) ).
fof(f354,plain,
spl0_48,
inference(avatar_split_clause,[],[f99,f352]) ).
fof(f352,plain,
( spl0_48
<=> ! [X98,X97] :
( ~ p__pred_(X97)
| p__pred_(X98)
| ~ p__pred_(f__equiv_(X98,X97)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f99,axiom,
! [X98,X97] :
( ~ p__pred_(X97)
| p__pred_(X98)
| ~ p__pred_(f__equiv_(X98,X97)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_100) ).
fof(f350,plain,
spl0_47,
inference(avatar_split_clause,[],[f98,f348]) ).
fof(f348,plain,
( spl0_47
<=> ! [X98,X97] :
( ~ p__pred_(X98)
| p__pred_(X97)
| ~ p__pred_(f__equiv_(X98,X97)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f98,axiom,
! [X98,X97] :
( ~ p__pred_(X98)
| p__pred_(X97)
| ~ p__pred_(f__equiv_(X98,X97)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_99) ).
fof(f346,plain,
spl0_46,
inference(avatar_split_clause,[],[f60,f344]) ).
fof(f344,plain,
( spl0_46
<=> ! [X29] :
( p_LES_EQU_(X29,n0)
| ~ p_LES_EQU_(X29,f_SUB_(X29,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f60,axiom,
! [X29] :
( p_LES_EQU_(X29,n0)
| ~ p_LES_EQU_(X29,f_SUB_(X29,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
fof(f342,plain,
spl0_45,
inference(avatar_split_clause,[],[f13,f340]) ).
fof(f340,plain,
( spl0_45
<=> ! [X6] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X6,n1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f13,axiom,
! [X6] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X6,n1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f338,plain,
spl0_44,
inference(avatar_split_clause,[],[f12,f336]) ).
fof(f12,axiom,
! [X6] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X6,n1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f329,plain,
spl0_43,
inference(avatar_split_clause,[],[f141,f327]) ).
fof(f327,plain,
( spl0_43
<=> ! [X62,X63] : f__index_(f__cons_(X62,X63),n0) = X62 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f141,plain,
! [X62,X63] : f__index_(f__cons_(X62,X63),n0) = X62,
inference(equality_resolution,[],[f83]) ).
fof(f83,axiom,
! [X62,X63,X61] :
( n0 != X61
| f__index_(f__cons_(X62,X63),X61) = X62 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_84) ).
fof(f325,plain,
spl0_42,
inference(avatar_split_clause,[],[f133,f323]) ).
fof(f323,plain,
( spl0_42
<=> ! [X121,X120] :
( ~ p_LES_EQU_(X120,X121)
| p__pred_(f__geq_(X121,X120)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f133,axiom,
! [X120,X121] :
( ~ p_LES_EQU_(X120,X121)
| p__pred_(f__geq_(X121,X120)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_134) ).
fof(f321,plain,
spl0_41,
inference(avatar_split_clause,[],[f132,f319]) ).
fof(f319,plain,
( spl0_41
<=> ! [X121,X120] :
( p_LES_EQU_(X120,X121)
| ~ p__pred_(f__geq_(X121,X120)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f132,axiom,
! [X120,X121] :
( p_LES_EQU_(X120,X121)
| ~ p__pred_(f__geq_(X121,X120)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_133) ).
fof(f317,plain,
spl0_40,
inference(avatar_split_clause,[],[f131,f315]) ).
fof(f315,plain,
( spl0_40
<=> ! [X118,X119] :
( p_LES_EQU_(X118,X119)
| p__pred_(f__gt_(X118,X119)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f131,axiom,
! [X118,X119] :
( p_LES_EQU_(X118,X119)
| p__pred_(f__gt_(X118,X119)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_132) ).
fof(f313,plain,
spl0_39,
inference(avatar_split_clause,[],[f130,f311]) ).
fof(f311,plain,
( spl0_39
<=> ! [X118,X119] :
( ~ p_LES_EQU_(X118,X119)
| ~ p__pred_(f__gt_(X118,X119)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f130,axiom,
! [X118,X119] :
( ~ p_LES_EQU_(X118,X119)
| ~ p__pred_(f__gt_(X118,X119)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_131) ).
fof(f309,plain,
spl0_38,
inference(avatar_split_clause,[],[f129,f307]) ).
fof(f307,plain,
( spl0_38
<=> ! [X116,X117] :
( ~ p_LES_EQU_(X116,X117)
| p__pred_(f__leq_(X116,X117)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f129,axiom,
! [X116,X117] :
( ~ p_LES_EQU_(X116,X117)
| p__pred_(f__leq_(X116,X117)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_130) ).
fof(f305,plain,
spl0_37,
inference(avatar_split_clause,[],[f128,f303]) ).
fof(f303,plain,
( spl0_37
<=> ! [X116,X117] :
( p_LES_EQU_(X116,X117)
| ~ p__pred_(f__leq_(X116,X117)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f128,axiom,
! [X116,X117] :
( p_LES_EQU_(X116,X117)
| ~ p__pred_(f__leq_(X116,X117)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_129) ).
fof(f301,plain,
spl0_36,
inference(avatar_split_clause,[],[f127,f299]) ).
fof(f299,plain,
( spl0_36
<=> ! [X114,X115] :
( p_LES_EQU_(X114,X115)
| p__pred_(f__lt_(X115,X114)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f127,axiom,
! [X114,X115] :
( p_LES_EQU_(X114,X115)
| p__pred_(f__lt_(X115,X114)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_128) ).
fof(f297,plain,
spl0_35,
inference(avatar_split_clause,[],[f126,f295]) ).
fof(f295,plain,
( spl0_35
<=> ! [X114,X115] :
( ~ p_LES_EQU_(X114,X115)
| ~ p__pred_(f__lt_(X115,X114)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f126,axiom,
! [X114,X115] :
( ~ p_LES_EQU_(X114,X115)
| ~ p__pred_(f__lt_(X115,X114)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_127) ).
fof(f293,plain,
spl0_34,
inference(avatar_split_clause,[],[f102,f291]) ).
fof(f291,plain,
( spl0_34
<=> ! [X100,X99] :
( X99 = X100
| ~ p__pred_(f__equal_(X99,X100)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f102,axiom,
! [X99,X100] :
( X99 = X100
| ~ p__pred_(f__equal_(X99,X100)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_103) ).
fof(f289,plain,
spl0_33,
inference(avatar_split_clause,[],[f8,f287]) ).
fof(f287,plain,
( spl0_33
<=> ! [X5] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X5))
| n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f8,axiom,
! [X5] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X5))
| n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f285,plain,
spl0_32,
inference(avatar_split_clause,[],[f7,f283]) ).
fof(f283,plain,
( spl0_32
<=> ! [X4] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X4))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X4) != n0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f7,axiom,
! [X4] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X4))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X4) != n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f281,plain,
spl0_31,
inference(avatar_split_clause,[],[f6,f279]) ).
fof(f279,plain,
( spl0_31
<=> ! [X3] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X3))
| fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTint__level_(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f6,axiom,
! [X3] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X3))
| fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTint__level_(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f277,plain,
spl0_30,
inference(avatar_split_clause,[],[f5,f275]) ).
fof(f275,plain,
( spl0_30
<=> ! [X2] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X2))
| fwork_DOTfifo_DOTrtl_DOTfifo__length_ != fwork_DOTfifo_DOTrtl_DOTint__level_(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f5,axiom,
! [X2] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X2))
| fwork_DOTfifo_DOTrtl_DOTfifo__length_ != fwork_DOTfifo_DOTrtl_DOTint__level_(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f272,plain,
( ~ spl0_29
| ~ spl0_12
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f217,f205,f197,f269]) ).
fof(f269,plain,
( spl0_29
<=> n1 = n0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f217,plain,
( n1 != n0
| ~ spl0_12
| ~ spl0_14 ),
inference(superposition,[],[f198,f206]) ).
fof(f267,plain,
spl0_28,
inference(avatar_split_clause,[],[f118,f265]) ).
fof(f265,plain,
( spl0_28
<=> ! [X109,X110] :
( ~ p__pred_(X110)
| ~ p__pred_(f__nor_(X110,X109)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f118,axiom,
! [X109,X110] :
( ~ p__pred_(X110)
| ~ p__pred_(f__nor_(X110,X109)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_119) ).
fof(f263,plain,
spl0_27,
inference(avatar_split_clause,[],[f117,f261]) ).
fof(f261,plain,
( spl0_27
<=> ! [X109,X110] :
( ~ p__pred_(X109)
| ~ p__pred_(f__nor_(X110,X109)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f117,axiom,
! [X109,X110] :
( ~ p__pred_(X109)
| ~ p__pred_(f__nor_(X110,X109)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_118) ).
fof(f259,plain,
spl0_26,
inference(avatar_split_clause,[],[f116,f257]) ).
fof(f257,plain,
( spl0_26
<=> ! [X107,X108] :
( p__pred_(X107)
| p__pred_(f__nand_(X107,X108)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f116,axiom,
! [X108,X107] :
( p__pred_(X107)
| p__pred_(f__nand_(X107,X108)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_117) ).
fof(f255,plain,
spl0_25,
inference(avatar_split_clause,[],[f115,f253]) ).
fof(f253,plain,
( spl0_25
<=> ! [X108,X107] :
( p__pred_(X108)
| p__pred_(f__nand_(X107,X108)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f115,axiom,
! [X108,X107] :
( p__pred_(X108)
| p__pred_(f__nand_(X107,X108)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_116) ).
fof(f251,plain,
spl0_24,
inference(avatar_split_clause,[],[f109,f249]) ).
fof(f249,plain,
( spl0_24
<=> ! [X104,X103] :
( ~ p__pred_(X103)
| p__pred_(f__or_(X103,X104)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f109,axiom,
! [X104,X103] :
( ~ p__pred_(X103)
| p__pred_(f__or_(X103,X104)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_110) ).
fof(f247,plain,
spl0_23,
inference(avatar_split_clause,[],[f108,f245]) ).
fof(f245,plain,
( spl0_23
<=> ! [X103,X104] :
( ~ p__pred_(X104)
| p__pred_(f__or_(X103,X104)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f108,axiom,
! [X104,X103] :
( ~ p__pred_(X104)
| p__pred_(f__or_(X103,X104)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_109) ).
fof(f243,plain,
spl0_22,
inference(avatar_split_clause,[],[f105,f241]) ).
fof(f241,plain,
( spl0_22
<=> ! [X102,X101] :
( p__pred_(X102)
| ~ p__pred_(f__and_(X102,X101)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f105,axiom,
! [X101,X102] :
( p__pred_(X102)
| ~ p__pred_(f__and_(X102,X101)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_106) ).
fof(f239,plain,
spl0_21,
inference(avatar_split_clause,[],[f104,f237]) ).
fof(f237,plain,
( spl0_21
<=> ! [X102,X101] :
( p__pred_(X101)
| ~ p__pred_(f__and_(X102,X101)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f104,axiom,
! [X101,X102] :
( p__pred_(X101)
| ~ p__pred_(f__and_(X102,X101)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_105) ).
fof(f235,plain,
spl0_20,
inference(avatar_split_clause,[],[f82,f233]) ).
fof(f233,plain,
( spl0_20
<=> ! [X60,X59] : f__index_(f__others_(X59),X60) = X59 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f82,axiom,
! [X59,X60] : f__index_(f__others_(X59),X60) = X59,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_83) ).
fof(f231,plain,
( ~ spl0_19
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f216,f205,f201,f228]) ).
fof(f228,plain,
( spl0_19
<=> p_LES_EQU_(n1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f216,plain,
( ~ p_LES_EQU_(n1,n0)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f202,f206]) ).
fof(f226,plain,
spl0_18,
inference(avatar_split_clause,[],[f72,f224]) ).
fof(f224,plain,
( spl0_18
<=> ! [X46] :
( ~ p_LES_EQU_(X46,n0)
| n0 = X46 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f72,axiom,
! [X46] :
( ~ p_LES_EQU_(X46,n0)
| n0 = X46 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_73) ).
fof(f222,plain,
spl0_17,
inference(avatar_split_clause,[],[f64,f220]) ).
fof(f220,plain,
( spl0_17
<=> ! [X30,X31] :
( ~ def_89(X30,X31)
| p_LES_EQU_(X31,X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f64,axiom,
! [X31,X30] :
( ~ def_89(X30,X31)
| p_LES_EQU_(X31,X30) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_65) ).
fof(f215,plain,
spl0_16,
inference(avatar_split_clause,[],[f125,f213]) ).
fof(f213,plain,
( spl0_16
<=> ! [X113] :
( p__pred_(X113)
| p__pred_(f__not_(X113)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f125,axiom,
! [X113] :
( p__pred_(X113)
| p__pred_(f__not_(X113)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_126) ).
fof(f211,plain,
spl0_15,
inference(avatar_split_clause,[],[f124,f209]) ).
fof(f209,plain,
( spl0_15
<=> ! [X113] :
( ~ p__pred_(X113)
| ~ p__pred_(f__not_(X113)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f124,axiom,
! [X113] :
( ~ p__pred_(X113)
| ~ p__pred_(f__not_(X113)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_125) ).
fof(f207,plain,
spl0_14,
inference(avatar_split_clause,[],[f76,f205]) ).
fof(f76,axiom,
! [X51] : f_ADD_(n0,X51) = X51,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_77) ).
fof(f203,plain,
spl0_13,
inference(avatar_split_clause,[],[f59,f201]) ).
fof(f59,axiom,
! [X28] : ~ p_LES_EQU_(f_ADD_(X28,n1),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).
fof(f199,plain,
spl0_12,
inference(avatar_split_clause,[],[f58,f197]) ).
fof(f58,axiom,
! [X27] : n0 != f_ADD_(X27,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_59) ).
fof(f195,plain,
spl0_11,
inference(avatar_split_clause,[],[f140,f193]) ).
fof(f193,plain,
( spl0_11
<=> ! [X100] : p__pred_(f__equal_(X100,X100)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f140,plain,
! [X100] : p__pred_(f__equal_(X100,X100)),
inference(equality_resolution,[],[f103]) ).
fof(f103,axiom,
! [X99,X100] :
( X99 != X100
| p__pred_(f__equal_(X99,X100)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_104) ).
fof(f191,plain,
spl0_10,
inference(avatar_split_clause,[],[f79,f188]) ).
fof(f188,plain,
( spl0_10
<=> n0 = f__length_(f__empty_) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f79,axiom,
n0 = f__length_(f__empty_),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_80) ).
fof(f186,plain,
spl0_9,
inference(avatar_split_clause,[],[f139,f184]) ).
fof(f184,plain,
( spl0_9
<=> ! [X31] : ~ def_89(X31,X31) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f139,plain,
! [X31] : ~ def_89(X31,X31),
inference(equality_resolution,[],[f63]) ).
fof(f63,axiom,
! [X31,X30] :
( X30 != X31
| ~ def_89(X30,X31) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_64) ).
fof(f182,plain,
~ spl0_8,
inference(avatar_split_clause,[],[f97,f179]) ).
fof(f179,plain,
( spl0_8
<=> f__true_ = f__false_ ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f97,axiom,
f__true_ != f__false_,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_98) ).
fof(f177,plain,
spl0_7,
inference(avatar_split_clause,[],[f74,f175]) ).
fof(f175,plain,
( spl0_7
<=> ! [X48] : p_LES_EQU_(X48,X48) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f74,axiom,
! [X48] : p_LES_EQU_(X48,X48),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_75) ).
fof(f173,plain,
~ spl0_6,
inference(avatar_split_clause,[],[f96,f170]) ).
fof(f170,plain,
( spl0_6
<=> p__pred_(f__false_) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f96,axiom,
~ p__pred_(f__false_),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_97) ).
fof(f168,plain,
spl0_5,
inference(avatar_split_clause,[],[f95,f165]) ).
fof(f165,plain,
( spl0_5
<=> p__pred_(f__true_) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f95,axiom,
p__pred_(f__true_),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_96) ).
fof(f163,plain,
spl0_4,
inference(avatar_split_clause,[],[f134,f160]) ).
fof(f134,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f158,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f138,f155]) ).
fof(f138,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),
inference(definition_unfolding,[],[f137,f4]) ).
fof(f4,axiom,
! [X1] : fwork_DOTfifo_DOTrtl_DOTlevel_(X1) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f137,axiom,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
fof(f153,plain,
spl0_2,
inference(avatar_split_clause,[],[f136,f150]) ).
fof(f136,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
fof(f148,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f135,f145]) ).
fof(f135,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : HWV019-2 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 04:52:34 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (21029)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38 % (21032)WARNING: value z3 for option sas not known
% 0.13/0.38 % (21031)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % (21030)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 % (21033)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 % (21032)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38 % (21034)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.38 % (21035)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.38 % (21036)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.40 TRYING [1]
% 0.13/0.40 TRYING [2]
% 0.13/0.41 % (21034)First to succeed.
% 0.20/0.41 % (21034)Refutation found. Thanks to Tanya!
% 0.20/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.42 % (21034)------------------------------
% 0.20/0.42 % (21034)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.42 % (21034)Termination reason: Refutation
% 0.20/0.42
% 0.20/0.42 % (21034)Memory used [KB]: 1533
% 0.20/0.42 % (21034)Time elapsed: 0.036 s
% 0.20/0.42 % (21034)Instructions burned: 57 (million)
% 0.20/0.42 % (21034)------------------------------
% 0.20/0.42 % (21034)------------------------------
% 0.20/0.42 % (21029)Success in time 0.046 s
%------------------------------------------------------------------------------