TSTP Solution File: HWV026-2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HWV026-2 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n006.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 : Fri Sep 1 16:00:11 EDT 2023
% Result : Unsatisfiable 0.19s 0.44s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 206
% Syntax : Number of formulae : 344 ( 127 unt; 0 def)
% Number of atoms : 737 ( 122 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 638 ( 245 ~; 285 |; 0 &)
% ( 108 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 113 ( 111 usr; 109 prp; 0-2 aty)
% Number of functors : 45 ( 45 usr; 8 con; 0-3 aty)
% Number of variables : 363 (; 363 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f902,plain,
$false,
inference(avatar_sat_refutation,[],[f186,f191,f196,f201,f206,f211,f215,f220,f225,f229,f233,f237,f241,f245,f249,f256,f260,f264,f268,f273,f277,f281,f285,f289,f293,f297,f301,f305,f311,f316,f320,f324,f328,f332,f336,f340,f344,f348,f352,f356,f360,f364,f368,f372,f381,f385,f389,f393,f397,f401,f405,f409,f413,f417,f421,f425,f429,f433,f437,f441,f445,f449,f453,f457,f489,f505,f509,f513,f517,f521,f525,f529,f533,f537,f541,f545,f583,f587,f591,f595,f599,f603,f660,f664,f668,f694,f698,f702,f706,f710,f714,f718,f722,f726,f730,f734,f738,f742,f777,f837,f841,f845,f849,f882,f886,f890,f894,f901]) ).
fof(f901,plain,
( ~ spl0_3
| spl0_2
| spl0_1
| spl0_4
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f862,f843,f198,f183,f188,f193]) ).
fof(f193,plain,
( spl0_3
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(t_206)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f188,plain,
( spl0_2
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f183,plain,
( spl0_1
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f198,plain,
( spl0_4
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f843,plain,
( spl0_103
<=> ! [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_103])]) ).
fof(f862,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(t_206))
| spl0_4
| ~ spl0_103 ),
inference(resolution,[],[f844,f200]) ).
fof(f200,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1)))
| spl0_4 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f844,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_DOTwr__error_(X10)) )
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f894,plain,
spl0_108,
inference(avatar_split_clause,[],[f144,f892]) ).
fof(f892,plain,
( spl0_108
<=> ! [X10] :
( fwork_DOTfifo_DOTrtl_DOTlevel_(X10) = fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X10,n1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f144,plain,
! [X10] :
( fwork_DOTfifo_DOTrtl_DOTlevel_(X10) = fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X10,n1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10)) ),
inference(forward_demodulation,[],[f143,f4]) ).
fof(f4,axiom,
! [X1] : fwork_DOTfifo_DOTrtl_DOTlevel_(X1) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_5) ).
fof(f143,plain,
! [X10] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTlevel_(X10)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10)) ),
inference(forward_demodulation,[],[f50,f4]) ).
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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_51) ).
fof(f890,plain,
spl0_107,
inference(avatar_split_clause,[],[f86,f888]) ).
fof(f888,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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_87) ).
fof(f886,plain,
spl0_106,
inference(avatar_split_clause,[],[f51,f884]) ).
fof(f884,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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_52) ).
fof(f882,plain,
spl0_105,
inference(avatar_split_clause,[],[f16,f880]) ).
fof(f880,plain,
( spl0_105
<=> ! [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_105])]) ).
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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_17) ).
fof(f849,plain,
spl0_104,
inference(avatar_split_clause,[],[f84,f847]) ).
fof(f847,plain,
( spl0_104
<=> ! [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_104])]) ).
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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_85) ).
fof(f845,plain,
spl0_103,
inference(avatar_split_clause,[],[f56,f843]) ).
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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_57) ).
fof(f841,plain,
spl0_102,
inference(avatar_split_clause,[],[f55,f839]) ).
fof(f839,plain,
( spl0_102
<=> ! [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_102])]) ).
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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_56) ).
fof(f837,plain,
spl0_101,
inference(avatar_split_clause,[],[f40,f835]) ).
fof(f835,plain,
( spl0_101
<=> ! [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_101])]) ).
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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_41) ).
fof(f777,plain,
( spl0_100
| spl0_1
| spl0_2
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f743,f696,f188,f183,f774]) ).
fof(f774,plain,
( spl0_100
<=> fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTwr__level_(t_206) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f696,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(f743,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTwr__level_(t_206)
| spl0_2
| ~ spl0_88 ),
inference(resolution,[],[f697,f190]) ).
fof(f190,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| spl0_2 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f697,plain,
( ! [X10] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
| fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTwr__level_(X10) )
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f742,plain,
spl0_99,
inference(avatar_split_clause,[],[f93,f740]) ).
fof(f740,plain,
( spl0_99
<=> ! [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_99])]) ).
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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_94) ).
fof(f738,plain,
spl0_98,
inference(avatar_split_clause,[],[f92,f736]) ).
fof(f736,plain,
( spl0_98
<=> ! [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_98])]) ).
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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_93) ).
fof(f734,plain,
spl0_97,
inference(avatar_split_clause,[],[f91,f732]) ).
fof(f732,plain,
( spl0_97
<=> ! [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_97])]) ).
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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_92) ).
fof(f730,plain,
spl0_96,
inference(avatar_split_clause,[],[f90,f728]) ).
fof(f728,plain,
( spl0_96
<=> ! [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_96])]) ).
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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_91) ).
fof(f726,plain,
spl0_95,
inference(avatar_split_clause,[],[f89,f724]) ).
fof(f724,plain,
( spl0_95
<=> ! [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_95])]) ).
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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_90) ).
fof(f722,plain,
( spl0_94
| ~ spl0_12
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f554,f507,f235,f720]) ).
fof(f720,plain,
( spl0_94
<=> ! [X2] : ~ p_LES_EQU_(f__length_(fwork_DOTfifo_DOTrtl_DOTdata__out_(X2)),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f235,plain,
( spl0_12
<=> ! [X28] : ~ p_LES_EQU_(f_ADD_(X28,n1),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f507,plain,
( spl0_68
<=> ! [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_68])]) ).
fof(f554,plain,
( ! [X2] : ~ p_LES_EQU_(f__length_(fwork_DOTfifo_DOTrtl_DOTdata__out_(X2)),n0)
| ~ spl0_12
| ~ spl0_68 ),
inference(superposition,[],[f236,f508]) ).
fof(f508,plain,
( ! [X0] : f__length_(fwork_DOTfifo_DOTrtl_DOTdata__out_(X0)) = f_ADD_(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1),n1)
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f236,plain,
( ! [X28] : ~ p_LES_EQU_(f_ADD_(X28,n1),n0)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f718,plain,
spl0_93,
inference(avatar_split_clause,[],[f88,f716]) ).
fof(f716,plain,
( spl0_93
<=> ! [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_93])]) ).
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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_89) ).
fof(f714,plain,
spl0_92,
inference(avatar_split_clause,[],[f85,f712]) ).
fof(f712,plain,
( spl0_92
<=> ! [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_92])]) ).
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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_86) ).
fof(f710,plain,
spl0_91,
inference(avatar_split_clause,[],[f71,f708]) ).
fof(f708,plain,
( spl0_91
<=> ! [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_91])]) ).
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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_72) ).
fof(f706,plain,
spl0_90,
inference(avatar_split_clause,[],[f62,f704]) ).
fof(f704,plain,
( spl0_90
<=> ! [X32,X30,X31] :
( def_89(X30,X31)
| f_ADD_(X32,X30) != X31
| f_SUB_(X31,X30) = X32 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f62,axiom,
! [X31,X32,X30] :
( def_89(X30,X31)
| f_ADD_(X32,X30) != X31
| f_SUB_(X31,X30) = X32 ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_63) ).
fof(f702,plain,
spl0_89,
inference(avatar_split_clause,[],[f61,f700]) ).
fof(f700,plain,
( spl0_89
<=> ! [X32,X30,X31] :
( def_89(X30,X31)
| f_SUB_(X31,X30) != X32
| f_ADD_(X32,X30) = X31 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f61,axiom,
! [X31,X32,X30] :
( def_89(X30,X31)
| f_SUB_(X31,X30) != X32
| f_ADD_(X32,X30) = X31 ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_62) ).
fof(f698,plain,
spl0_88,
inference(avatar_split_clause,[],[f41,f696]) ).
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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_42) ).
fof(f694,plain,
spl0_87,
inference(avatar_split_clause,[],[f87,f692]) ).
fof(f692,plain,
( spl0_87
<=> ! [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_87])]) ).
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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_88) ).
fof(f668,plain,
( spl0_86
| ~ spl0_11
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f550,f503,f231,f666]) ).
fof(f666,plain,
( spl0_86
<=> ! [X3] : n0 != f__length_(fwork_DOTfifo_DOTrtl_DOTmem_(X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f231,plain,
( spl0_11
<=> ! [X27] : n0 != f_ADD_(X27,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f503,plain,
( spl0_67
<=> ! [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_67])]) ).
fof(f550,plain,
( ! [X3] : n0 != f__length_(fwork_DOTfifo_DOTrtl_DOTmem_(X3))
| ~ spl0_11
| ~ spl0_67 ),
inference(superposition,[],[f232,f504]) ).
fof(f504,plain,
( ! [X0] : f__length_(fwork_DOTfifo_DOTrtl_DOTmem_(X0)) = f_ADD_(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1),n1)
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f232,plain,
( ! [X27] : n0 != f_ADD_(X27,n1)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f664,plain,
spl0_85,
inference(avatar_split_clause,[],[f81,f662]) ).
fof(f662,plain,
( spl0_85
<=> ! [X57,X56,X58] : f__length_(f__slice_(X56,X57,X58)) = f_SUB_(X58,f_ADD_(X57,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f81,axiom,
! [X58,X56,X57] : f__length_(f__slice_(X56,X57,X58)) = f_SUB_(X58,f_ADD_(X57,n1)),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_82) ).
fof(f660,plain,
spl0_84,
inference(avatar_split_clause,[],[f68,f658]) ).
fof(f658,plain,
( spl0_84
<=> ! [X38,X37] :
( ~ p_LES_EQU_(X37,X38)
| X37 = X38
| p_LES_EQU_(f_ADD_(X37,n1),X38) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f68,axiom,
! [X38,X37] :
( ~ p_LES_EQU_(X37,X38)
| X37 = X38
| p_LES_EQU_(f_ADD_(X37,n1),X38) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_69) ).
fof(f603,plain,
spl0_83,
inference(avatar_split_clause,[],[f83,f601]) ).
fof(f601,plain,
( spl0_83
<=> ! [X61,X62,X63] :
( n0 != X61
| f__index_(f__cons_(X62,X63),X61) = X62 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f83,axiom,
! [X62,X63,X61] :
( n0 != X61
| f__index_(f__cons_(X62,X63),X61) = X62 ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_84) ).
fof(f599,plain,
spl0_82,
inference(avatar_split_clause,[],[f80,f597]) ).
fof(f597,plain,
( spl0_82
<=> ! [X54,X55] : f__length_(f__concat_(X54,X55)) = f_ADD_(f__length_(X54),f__length_(X55)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f80,axiom,
! [X54,X55] : f__length_(f__concat_(X54,X55)) = f_ADD_(f__length_(X54),f__length_(X55)),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_81) ).
fof(f595,plain,
spl0_81,
inference(avatar_split_clause,[],[f75,f593]) ).
fof(f593,plain,
( spl0_81
<=> ! [X50,X49] :
( X49 = X50
| f_ADD_(X49,n1) != f_ADD_(X50,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f75,axiom,
! [X50,X49] :
( X49 = X50
| f_ADD_(X49,n1) != f_ADD_(X50,n1) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_76) ).
fof(f591,plain,
( spl0_80
| ~ spl0_12
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f549,f503,f235,f589]) ).
fof(f589,plain,
( spl0_80
<=> ! [X2] : ~ p_LES_EQU_(f__length_(fwork_DOTfifo_DOTrtl_DOTmem_(X2)),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f549,plain,
( ! [X2] : ~ p_LES_EQU_(f__length_(fwork_DOTfifo_DOTrtl_DOTmem_(X2)),n0)
| ~ spl0_12
| ~ spl0_67 ),
inference(superposition,[],[f236,f504]) ).
fof(f587,plain,
spl0_79,
inference(avatar_split_clause,[],[f66,f585]) ).
fof(f585,plain,
( spl0_79
<=> ! [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_79])]) ).
fof(f66,axiom,
! [X34,X33] :
( ~ p_LES_EQU_(X33,X34)
| p_LES_EQU_(f_ADD_(X33,n1),f_ADD_(X34,n1)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_67) ).
fof(f583,plain,
spl0_78,
inference(avatar_split_clause,[],[f65,f581]) ).
fof(f581,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(f65,axiom,
! [X34,X33] :
( p_LES_EQU_(X33,X34)
| ~ p_LES_EQU_(f_ADD_(X33,n1),f_ADD_(X34,n1)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_66) ).
fof(f545,plain,
spl0_77,
inference(avatar_split_clause,[],[f140,f543]) ).
fof(f543,plain,
( spl0_77
<=> ! [X6] :
( n0 = fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X6,n1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f140,plain,
! [X6] :
( n0 = fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X6,n1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6)) ),
inference(forward_demodulation,[],[f11,f4]) ).
fof(f11,axiom,
! [X6] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6))
| n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X6,n1)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_12) ).
fof(f541,plain,
spl0_76,
inference(avatar_split_clause,[],[f94,f539]) ).
fof(f539,plain,
( spl0_76
<=> ! [X96,X95] : f__index_(f__not_(X95),X96) = f__not_(f__index_(X95,X96)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f94,axiom,
! [X96,X95] : f__index_(f__not_(X95),X96) = f__not_(f__index_(X95,X96)),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_95) ).
fof(f537,plain,
spl0_75,
inference(avatar_split_clause,[],[f78,f535]) ).
fof(f535,plain,
( spl0_75
<=> ! [X52,X53] : f__length_(f__cons_(X52,X53)) = f_ADD_(f__length_(X53),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f78,axiom,
! [X52,X53] : f__length_(f__cons_(X52,X53)) = f_ADD_(f__length_(X53),n1),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_79) ).
fof(f533,plain,
spl0_74,
inference(avatar_split_clause,[],[f73,f531]) ).
fof(f531,plain,
( spl0_74
<=> ! [X47] :
( n0 = X47
| f_ADD_(y_105(X47),n1) = X47 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f73,axiom,
! [X47] :
( n0 = X47
| f_ADD_(y_105(X47),n1) = X47 ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_74) ).
fof(f529,plain,
spl0_73,
inference(avatar_split_clause,[],[f70,f527]) ).
fof(f527,plain,
( spl0_73
<=> ! [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_73])]) ).
fof(f70,axiom,
! [X41,X42,X43] :
( ~ p_LES_EQU_(X41,X42)
| p_LES_EQU_(X41,X43)
| p_LES_EQU_(X43,X42) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_71) ).
fof(f525,plain,
spl0_72,
inference(avatar_split_clause,[],[f69,f523]) ).
fof(f523,plain,
( spl0_72
<=> ! [X40,X39] :
( ~ p_LES_EQU_(X40,X39)
| ~ p_LES_EQU_(X39,X40)
| X39 = X40 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f69,axiom,
! [X40,X39] :
( ~ p_LES_EQU_(X40,X39)
| ~ p_LES_EQU_(X39,X40)
| X39 = X40 ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_70) ).
fof(f521,plain,
spl0_71,
inference(avatar_split_clause,[],[f10,f519]) ).
fof(f519,plain,
( spl0_71
<=> ! [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_71])]) ).
fof(f10,axiom,
! [X6] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6))
| n0 = fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(X6,n1)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_11) ).
fof(f517,plain,
spl0_70,
inference(avatar_split_clause,[],[f9,f515]) ).
fof(f515,plain,
( spl0_70
<=> ! [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_70])]) ).
fof(f9,axiom,
! [X6] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6))
| n0 = fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(X6,n1)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_10) ).
fof(f513,plain,
spl0_69,
inference(avatar_split_clause,[],[f3,f511]) ).
fof(f511,plain,
( spl0_69
<=> ! [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_69])]) ).
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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_4) ).
fof(f509,plain,
spl0_68,
inference(avatar_split_clause,[],[f2,f507]) ).
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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_3) ).
fof(f505,plain,
spl0_67,
inference(avatar_split_clause,[],[f1,f503]) ).
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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_2) ).
fof(f489,plain,
( ~ spl0_65
| ~ spl0_66
| ~ spl0_13
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f458,f379,f239,f486,f482]) ).
fof(f482,plain,
( spl0_65
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f486,plain,
( spl0_66
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f239,plain,
( spl0_13
<=> ! [X51] : f_ADD_(n0,X51) = X51 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f379,plain,
( spl0_45
<=> ! [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_45])]) ).
fof(f458,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(n1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(n0))
| ~ spl0_13
| ~ spl0_45 ),
inference(superposition,[],[f380,f240]) ).
fof(f240,plain,
( ! [X51] : f_ADD_(n0,X51) = X51
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f380,plain,
( ! [X6] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X6,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6)) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f457,plain,
spl0_64,
inference(avatar_split_clause,[],[f123,f455]) ).
fof(f455,plain,
( spl0_64
<=> ! [X112,X111] :
( p__pred_(X111)
| p__pred_(X112)
| p__pred_(f__xnor_(X112,X111)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f123,axiom,
! [X111,X112] :
( p__pred_(X111)
| p__pred_(X112)
| p__pred_(f__xnor_(X112,X111)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_124) ).
fof(f453,plain,
spl0_63,
inference(avatar_split_clause,[],[f122,f451]) ).
fof(f451,plain,
( spl0_63
<=> ! [X112,X111] :
( ~ p__pred_(X111)
| ~ p__pred_(X112)
| p__pred_(f__xnor_(X112,X111)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f122,axiom,
! [X111,X112] :
( ~ p__pred_(X111)
| ~ p__pred_(X112)
| p__pred_(f__xnor_(X112,X111)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_123) ).
fof(f449,plain,
spl0_62,
inference(avatar_split_clause,[],[f121,f447]) ).
fof(f447,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(f121,axiom,
! [X111,X112] :
( ~ p__pred_(X111)
| p__pred_(X112)
| ~ p__pred_(f__xnor_(X112,X111)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_122) ).
fof(f445,plain,
spl0_61,
inference(avatar_split_clause,[],[f120,f443]) ).
fof(f443,plain,
( spl0_61
<=> ! [X112,X111] :
( ~ p__pred_(X112)
| p__pred_(X111)
| ~ p__pred_(f__xnor_(X112,X111)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f120,axiom,
! [X111,X112] :
( ~ p__pred_(X112)
| p__pred_(X111)
| ~ p__pred_(f__xnor_(X112,X111)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_121) ).
fof(f441,plain,
spl0_60,
inference(avatar_split_clause,[],[f119,f439]) ).
fof(f439,plain,
( spl0_60
<=> ! [X109,X110] :
( p__pred_(X110)
| p__pred_(X109)
| p__pred_(f__nor_(X110,X109)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f119,axiom,
! [X109,X110] :
( p__pred_(X110)
| p__pred_(X109)
| p__pred_(f__nor_(X110,X109)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_120) ).
fof(f437,plain,
spl0_59,
inference(avatar_split_clause,[],[f114,f435]) ).
fof(f435,plain,
( spl0_59
<=> ! [X107,X108] :
( ~ p__pred_(X107)
| ~ p__pred_(X108)
| ~ p__pred_(f__nand_(X107,X108)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f114,axiom,
! [X108,X107] :
( ~ p__pred_(X107)
| ~ p__pred_(X108)
| ~ p__pred_(f__nand_(X107,X108)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_115) ).
fof(f433,plain,
spl0_58,
inference(avatar_split_clause,[],[f113,f431]) ).
fof(f431,plain,
( spl0_58
<=> ! [X105,X106] :
( ~ p__pred_(X105)
| p__pred_(X106)
| p__pred_(f__xor_(X106,X105)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f113,axiom,
! [X106,X105] :
( ~ p__pred_(X105)
| p__pred_(X106)
| p__pred_(f__xor_(X106,X105)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_114) ).
fof(f429,plain,
( spl0_57
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f373,f318,f427]) ).
fof(f427,plain,
( spl0_57
<=> ! [X0] : p__pred_(f__equal_(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f318,plain,
( spl0_31
<=> ! [X100,X99] :
( X99 != X100
| p__pred_(f__equal_(X99,X100)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f373,plain,
( ! [X0] : p__pred_(f__equal_(X0,X0))
| ~ spl0_31 ),
inference(equality_resolution,[],[f319]) ).
fof(f319,plain,
( ! [X99,X100] :
( X99 != X100
| p__pred_(f__equal_(X99,X100)) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f425,plain,
spl0_56,
inference(avatar_split_clause,[],[f112,f423]) ).
fof(f423,plain,
( spl0_56
<=> ! [X105,X106] :
( ~ p__pred_(X106)
| p__pred_(X105)
| p__pred_(f__xor_(X106,X105)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f112,axiom,
! [X106,X105] :
( ~ p__pred_(X106)
| p__pred_(X105)
| p__pred_(f__xor_(X106,X105)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_113) ).
fof(f421,plain,
spl0_55,
inference(avatar_split_clause,[],[f111,f419]) ).
fof(f419,plain,
( spl0_55
<=> ! [X105,X106] :
( p__pred_(X105)
| p__pred_(X106)
| ~ p__pred_(f__xor_(X106,X105)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f111,axiom,
! [X106,X105] :
( p__pred_(X105)
| p__pred_(X106)
| ~ p__pred_(f__xor_(X106,X105)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_112) ).
fof(f417,plain,
spl0_54,
inference(avatar_split_clause,[],[f110,f415]) ).
fof(f415,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(f110,axiom,
! [X106,X105] :
( ~ p__pred_(X105)
| ~ p__pred_(X106)
| ~ p__pred_(f__xor_(X106,X105)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_111) ).
fof(f413,plain,
spl0_53,
inference(avatar_split_clause,[],[f107,f411]) ).
fof(f411,plain,
( spl0_53
<=> ! [X104,X103] :
( p__pred_(X103)
| p__pred_(X104)
| ~ p__pred_(f__or_(X103,X104)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f107,axiom,
! [X104,X103] :
( p__pred_(X103)
| p__pred_(X104)
| ~ p__pred_(f__or_(X103,X104)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_108) ).
fof(f409,plain,
spl0_52,
inference(avatar_split_clause,[],[f106,f407]) ).
fof(f407,plain,
( spl0_52
<=> ! [X102,X101] :
( ~ p__pred_(X102)
| ~ p__pred_(X101)
| p__pred_(f__and_(X102,X101)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f106,axiom,
! [X101,X102] :
( ~ p__pred_(X102)
| ~ p__pred_(X101)
| p__pred_(f__and_(X102,X101)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_107) ).
fof(f405,plain,
spl0_51,
inference(avatar_split_clause,[],[f101,f403]) ).
fof(f403,plain,
( spl0_51
<=> ! [X98,X97] :
( p__pred_(X97)
| p__pred_(X98)
| p__pred_(f__equiv_(X98,X97)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f101,axiom,
! [X98,X97] :
( p__pred_(X97)
| p__pred_(X98)
| p__pred_(f__equiv_(X98,X97)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_102) ).
fof(f401,plain,
spl0_50,
inference(avatar_split_clause,[],[f100,f399]) ).
fof(f399,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(f100,axiom,
! [X98,X97] :
( ~ p__pred_(X97)
| ~ p__pred_(X98)
| p__pred_(f__equiv_(X98,X97)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_101) ).
fof(f397,plain,
spl0_49,
inference(avatar_split_clause,[],[f99,f395]) ).
fof(f395,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(f99,axiom,
! [X98,X97] :
( ~ p__pred_(X97)
| p__pred_(X98)
| ~ p__pred_(f__equiv_(X98,X97)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_100) ).
fof(f393,plain,
spl0_48,
inference(avatar_split_clause,[],[f98,f391]) ).
fof(f391,plain,
( spl0_48
<=> ! [X98,X97] :
( ~ p__pred_(X98)
| p__pred_(X97)
| ~ p__pred_(f__equiv_(X98,X97)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f98,axiom,
! [X98,X97] :
( ~ p__pred_(X98)
| p__pred_(X97)
| ~ p__pred_(f__equiv_(X98,X97)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_99) ).
fof(f389,plain,
spl0_47,
inference(avatar_split_clause,[],[f60,f387]) ).
fof(f387,plain,
( spl0_47
<=> ! [X29] :
( p_LES_EQU_(X29,n0)
| ~ p_LES_EQU_(X29,f_SUB_(X29,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f60,axiom,
! [X29] :
( p_LES_EQU_(X29,n0)
| ~ p_LES_EQU_(X29,f_SUB_(X29,n1)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_61) ).
fof(f385,plain,
spl0_46,
inference(avatar_split_clause,[],[f13,f383]) ).
fof(f383,plain,
( spl0_46
<=> ! [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_46])]) ).
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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_14) ).
fof(f381,plain,
spl0_45,
inference(avatar_split_clause,[],[f12,f379]) ).
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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_13) ).
fof(f372,plain,
spl0_44,
inference(avatar_split_clause,[],[f142,f370]) ).
fof(f370,plain,
( spl0_44
<=> ! [X4] :
( n0 != fwork_DOTfifo_DOTrtl_DOTlevel_(X4)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f142,plain,
! [X4] :
( n0 != fwork_DOTfifo_DOTrtl_DOTlevel_(X4)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X4)) ),
inference(forward_demodulation,[],[f7,f4]) ).
fof(f7,axiom,
! [X4] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X4))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X4) != n0 ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_8) ).
fof(f368,plain,
spl0_43,
inference(avatar_split_clause,[],[f141,f366]) ).
fof(f366,plain,
( spl0_43
<=> ! [X2] :
( fwork_DOTfifo_DOTrtl_DOTfifo__length_ != fwork_DOTfifo_DOTrtl_DOTlevel_(X2)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f141,plain,
! [X2] :
( fwork_DOTfifo_DOTrtl_DOTfifo__length_ != fwork_DOTfifo_DOTrtl_DOTlevel_(X2)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X2)) ),
inference(forward_demodulation,[],[f5,f4]) ).
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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_6) ).
fof(f364,plain,
spl0_42,
inference(avatar_split_clause,[],[f139,f362]) ).
fof(f362,plain,
( spl0_42
<=> ! [X5] :
( n0 = fwork_DOTfifo_DOTrtl_DOTlevel_(X5)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f139,plain,
! [X5] :
( n0 = fwork_DOTfifo_DOTrtl_DOTlevel_(X5)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X5)) ),
inference(forward_demodulation,[],[f8,f4]) ).
fof(f8,axiom,
! [X5] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X5))
| n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(X5) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_9) ).
fof(f360,plain,
spl0_41,
inference(avatar_split_clause,[],[f138,f358]) ).
fof(f358,plain,
( spl0_41
<=> ! [X3] :
( fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTlevel_(X3)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f138,plain,
! [X3] :
( fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTlevel_(X3)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X3)) ),
inference(forward_demodulation,[],[f6,f4]) ).
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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_7) ).
fof(f356,plain,
( spl0_40
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f306,f254,f354]) ).
fof(f354,plain,
( spl0_40
<=> ! [X0] : ~ def_89(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f254,plain,
( spl0_16
<=> ! [X30,X31] :
( X30 != X31
| ~ def_89(X30,X31) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f306,plain,
( ! [X0] : ~ def_89(X0,X0)
| ~ spl0_16 ),
inference(equality_resolution,[],[f255]) ).
fof(f255,plain,
( ! [X31,X30] :
( X30 != X31
| ~ def_89(X30,X31) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f352,plain,
spl0_39,
inference(avatar_split_clause,[],[f133,f350]) ).
fof(f350,plain,
( spl0_39
<=> ! [X121,X120] :
( ~ p_LES_EQU_(X120,X121)
| p__pred_(f__geq_(X121,X120)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f133,axiom,
! [X120,X121] :
( ~ p_LES_EQU_(X120,X121)
| p__pred_(f__geq_(X121,X120)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_134) ).
fof(f348,plain,
spl0_38,
inference(avatar_split_clause,[],[f132,f346]) ).
fof(f346,plain,
( spl0_38
<=> ! [X121,X120] :
( p_LES_EQU_(X120,X121)
| ~ p__pred_(f__geq_(X121,X120)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f132,axiom,
! [X120,X121] :
( p_LES_EQU_(X120,X121)
| ~ p__pred_(f__geq_(X121,X120)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_133) ).
fof(f344,plain,
spl0_37,
inference(avatar_split_clause,[],[f131,f342]) ).
fof(f342,plain,
( spl0_37
<=> ! [X118,X119] :
( p_LES_EQU_(X118,X119)
| p__pred_(f__gt_(X118,X119)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f131,axiom,
! [X118,X119] :
( p_LES_EQU_(X118,X119)
| p__pred_(f__gt_(X118,X119)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_132) ).
fof(f340,plain,
spl0_36,
inference(avatar_split_clause,[],[f130,f338]) ).
fof(f338,plain,
( spl0_36
<=> ! [X118,X119] :
( ~ p_LES_EQU_(X118,X119)
| ~ p__pred_(f__gt_(X118,X119)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f130,axiom,
! [X118,X119] :
( ~ p_LES_EQU_(X118,X119)
| ~ p__pred_(f__gt_(X118,X119)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_131) ).
fof(f336,plain,
spl0_35,
inference(avatar_split_clause,[],[f129,f334]) ).
fof(f334,plain,
( spl0_35
<=> ! [X116,X117] :
( ~ p_LES_EQU_(X116,X117)
| p__pred_(f__leq_(X116,X117)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f129,axiom,
! [X116,X117] :
( ~ p_LES_EQU_(X116,X117)
| p__pred_(f__leq_(X116,X117)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_130) ).
fof(f332,plain,
spl0_34,
inference(avatar_split_clause,[],[f128,f330]) ).
fof(f330,plain,
( spl0_34
<=> ! [X116,X117] :
( p_LES_EQU_(X116,X117)
| ~ p__pred_(f__leq_(X116,X117)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f128,axiom,
! [X116,X117] :
( p_LES_EQU_(X116,X117)
| ~ p__pred_(f__leq_(X116,X117)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_129) ).
fof(f328,plain,
spl0_33,
inference(avatar_split_clause,[],[f127,f326]) ).
fof(f326,plain,
( spl0_33
<=> ! [X114,X115] :
( p_LES_EQU_(X114,X115)
| p__pred_(f__lt_(X115,X114)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f127,axiom,
! [X114,X115] :
( p_LES_EQU_(X114,X115)
| p__pred_(f__lt_(X115,X114)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_128) ).
fof(f324,plain,
spl0_32,
inference(avatar_split_clause,[],[f126,f322]) ).
fof(f322,plain,
( spl0_32
<=> ! [X114,X115] :
( ~ p_LES_EQU_(X114,X115)
| ~ p__pred_(f__lt_(X115,X114)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f126,axiom,
! [X114,X115] :
( ~ p_LES_EQU_(X114,X115)
| ~ p__pred_(f__lt_(X115,X114)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_127) ).
fof(f320,plain,
spl0_31,
inference(avatar_split_clause,[],[f103,f318]) ).
fof(f103,axiom,
! [X99,X100] :
( X99 != X100
| p__pred_(f__equal_(X99,X100)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_104) ).
fof(f316,plain,
spl0_30,
inference(avatar_split_clause,[],[f102,f314]) ).
fof(f314,plain,
( spl0_30
<=> ! [X100,X99] :
( X99 = X100
| ~ p__pred_(f__equal_(X99,X100)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f102,axiom,
! [X99,X100] :
( X99 = X100
| ~ p__pred_(f__equal_(X99,X100)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_103) ).
fof(f311,plain,
( ~ spl0_29
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f251,f239,f231,f308]) ).
fof(f308,plain,
( spl0_29
<=> n1 = n0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f251,plain,
( n1 != n0
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f232,f240]) ).
fof(f305,plain,
spl0_28,
inference(avatar_split_clause,[],[f118,f303]) ).
fof(f303,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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_119) ).
fof(f301,plain,
spl0_27,
inference(avatar_split_clause,[],[f117,f299]) ).
fof(f299,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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_118) ).
fof(f297,plain,
spl0_26,
inference(avatar_split_clause,[],[f116,f295]) ).
fof(f295,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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_117) ).
fof(f293,plain,
spl0_25,
inference(avatar_split_clause,[],[f115,f291]) ).
fof(f291,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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_116) ).
fof(f289,plain,
spl0_24,
inference(avatar_split_clause,[],[f109,f287]) ).
fof(f287,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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_110) ).
fof(f285,plain,
spl0_23,
inference(avatar_split_clause,[],[f108,f283]) ).
fof(f283,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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_109) ).
fof(f281,plain,
spl0_22,
inference(avatar_split_clause,[],[f105,f279]) ).
fof(f279,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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_106) ).
fof(f277,plain,
spl0_21,
inference(avatar_split_clause,[],[f104,f275]) ).
fof(f275,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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_105) ).
fof(f273,plain,
( ~ spl0_20
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f250,f239,f235,f270]) ).
fof(f270,plain,
( spl0_20
<=> p_LES_EQU_(n1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f250,plain,
( ~ p_LES_EQU_(n1,n0)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f236,f240]) ).
fof(f268,plain,
spl0_19,
inference(avatar_split_clause,[],[f82,f266]) ).
fof(f266,plain,
( spl0_19
<=> ! [X60,X59] : f__index_(f__others_(X59),X60) = X59 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f82,axiom,
! [X59,X60] : f__index_(f__others_(X59),X60) = X59,
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_83) ).
fof(f264,plain,
spl0_18,
inference(avatar_split_clause,[],[f72,f262]) ).
fof(f262,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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_73) ).
fof(f260,plain,
spl0_17,
inference(avatar_split_clause,[],[f64,f258]) ).
fof(f258,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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_65) ).
fof(f256,plain,
spl0_16,
inference(avatar_split_clause,[],[f63,f254]) ).
fof(f63,axiom,
! [X31,X30] :
( X30 != X31
| ~ def_89(X30,X31) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_64) ).
fof(f249,plain,
spl0_15,
inference(avatar_split_clause,[],[f125,f247]) ).
fof(f247,plain,
( spl0_15
<=> ! [X113] :
( p__pred_(X113)
| p__pred_(f__not_(X113)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f125,axiom,
! [X113] :
( p__pred_(X113)
| p__pred_(f__not_(X113)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_126) ).
fof(f245,plain,
spl0_14,
inference(avatar_split_clause,[],[f124,f243]) ).
fof(f243,plain,
( spl0_14
<=> ! [X113] :
( ~ p__pred_(X113)
| ~ p__pred_(f__not_(X113)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f124,axiom,
! [X113] :
( ~ p__pred_(X113)
| ~ p__pred_(f__not_(X113)) ),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_125) ).
fof(f241,plain,
spl0_13,
inference(avatar_split_clause,[],[f76,f239]) ).
fof(f76,axiom,
! [X51] : f_ADD_(n0,X51) = X51,
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_77) ).
fof(f237,plain,
spl0_12,
inference(avatar_split_clause,[],[f59,f235]) ).
fof(f59,axiom,
! [X28] : ~ p_LES_EQU_(f_ADD_(X28,n1),n0),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_60) ).
fof(f233,plain,
spl0_11,
inference(avatar_split_clause,[],[f58,f231]) ).
fof(f58,axiom,
! [X27] : n0 != f_ADD_(X27,n1),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_59) ).
fof(f229,plain,
spl0_10,
inference(avatar_split_clause,[],[f4,f227]) ).
fof(f227,plain,
( spl0_10
<=> ! [X1] : fwork_DOTfifo_DOTrtl_DOTlevel_(X1) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f225,plain,
spl0_9,
inference(avatar_split_clause,[],[f79,f222]) ).
fof(f222,plain,
( spl0_9
<=> n0 = f__length_(f__empty_) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f79,axiom,
n0 = f__length_(f__empty_),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_80) ).
fof(f220,plain,
~ spl0_8,
inference(avatar_split_clause,[],[f97,f217]) ).
fof(f217,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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_98) ).
fof(f215,plain,
spl0_7,
inference(avatar_split_clause,[],[f74,f213]) ).
fof(f213,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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_75) ).
fof(f211,plain,
~ spl0_6,
inference(avatar_split_clause,[],[f96,f208]) ).
fof(f208,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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_97) ).
fof(f206,plain,
spl0_5,
inference(avatar_split_clause,[],[f95,f203]) ).
fof(f203,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/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',axiom_96) ).
fof(f201,plain,
~ spl0_4,
inference(avatar_split_clause,[],[f136,f198]) ).
fof(f136,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',quest_3) ).
fof(f196,plain,
spl0_3,
inference(avatar_split_clause,[],[f137,f193]) ).
fof(f137,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(t_206)),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',quest_4) ).
fof(f191,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f135,f188]) ).
fof(f135,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',quest_2) ).
fof(f186,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f134,f183]) ).
fof(f134,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185',quest_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : HWV026-2 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 30 17:55:35 EDT 2023
% 0.19/0.35 % CPUTime :
% 0.19/0.41 % (22293)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.42 % (22294)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.19/0.42 % (22295)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.19/0.42 % (22297)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.19/0.42 % (22296)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 Vampire---4 for (569ds/0Mi)
% 0.19/0.42 % (22298)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 Vampire---4 for (531ds/0Mi)
% 0.19/0.42 % (22299)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 Vampire---4 for (522ds/0Mi)
% 0.19/0.42 % (22300)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 Vampire---4 for (497ds/0Mi)
% 0.19/0.43 TRYING [1]
% 0.19/0.44 TRYING [2]
% 0.19/0.44 % (22298)First to succeed.
% 0.19/0.44 % (22298)Refutation found. Thanks to Tanya!
% 0.19/0.44 % SZS status Unsatisfiable for Vampire---4
% 0.19/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.19/0.45 % (22298)------------------------------
% 0.19/0.45 % (22298)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.45 % (22298)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.45 % (22298)Termination reason: Refutation
% 0.19/0.45
% 0.19/0.45 % (22298)Memory used [KB]: 6268
% 0.19/0.45 % (22298)Time elapsed: 0.027 s
% 0.19/0.45 % (22298)------------------------------
% 0.19/0.45 % (22298)------------------------------
% 0.19/0.45 % (22293)Success in time 0.094 s
% 0.19/0.45 22296 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.KZrfidCaKB/Vampire---4.8_22185
% 0.19/0.45 % (22296)------------------------------
% 0.19/0.45 % (22296)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.45 % (22296)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.45 % (22296)Termination reason: Unknown
% 0.19/0.45 % (22296)Termination phase: Saturation
% 0.19/0.45
% 0.19/0.45 % (22296)Memory used [KB]: 5500
% 0.19/0.45 % (22296)Time elapsed: 0.033 s
% 0.19/0.45 % (22296)------------------------------
% 0.19/0.45 % (22296)------------------------------
% 0.19/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------