TSTP Solution File: HWV009-4 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HWV009-4 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n022.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 : Mon May 20 22:01:49 EDT 2024
% Result : Unsatisfiable 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 118
% Syntax : Number of formulae : 191 ( 73 unt; 0 def)
% Number of atoms : 392 ( 32 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 350 ( 149 ~; 141 |; 0 &)
% ( 60 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 65 ( 63 usr; 61 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 7 con; 0-2 aty)
% Number of variables : 187 ( 187 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f414,plain,
$false,
inference(avatar_sat_refutation,[],[f145,f150,f155,f160,f164,f169,f173,f178,f182,f186,f190,f194,f198,f202,f209,f213,f217,f221,f225,f229,f234,f238,f242,f246,f250,f254,f260,f264,f268,f272,f276,f280,f284,f288,f292,f296,f300,f304,f308,f312,f316,f325,f329,f333,f337,f341,f345,f349,f353,f357,f361,f365,f369,f373,f377,f381,f385,f389,f393,f397,f413]) ).
fof(f413,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f399,f327,f147,f142]) ).
fof(f142,plain,
( spl0_1
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f147,plain,
( spl0_2
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f327,plain,
( spl0_43
<=> ! [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_43])]) ).
fof(f399,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ spl0_2
| ~ spl0_43 ),
inference(resolution,[],[f328,f149]) ).
fof(f149,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1)))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f328,plain,
( ! [X6] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X6,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6)) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f397,plain,
spl0_60,
inference(avatar_split_clause,[],[f123,f395]) ).
fof(f395,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(f123,axiom,
! [X111,X112] :
( p__pred_(X111)
| p__pred_(X112)
| p__pred_(f__xnor_(X112,X111)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_124) ).
fof(f393,plain,
spl0_59,
inference(avatar_split_clause,[],[f122,f391]) ).
fof(f391,plain,
( spl0_59
<=> ! [X112,X111] :
( ~ p__pred_(X111)
| ~ p__pred_(X112)
| p__pred_(f__xnor_(X112,X111)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f122,axiom,
! [X111,X112] :
( ~ p__pred_(X111)
| ~ p__pred_(X112)
| p__pred_(f__xnor_(X112,X111)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_123) ).
fof(f389,plain,
spl0_58,
inference(avatar_split_clause,[],[f121,f387]) ).
fof(f387,plain,
( spl0_58
<=> ! [X112,X111] :
( ~ p__pred_(X111)
| p__pred_(X112)
| ~ p__pred_(f__xnor_(X112,X111)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f121,axiom,
! [X111,X112] :
( ~ p__pred_(X111)
| p__pred_(X112)
| ~ p__pred_(f__xnor_(X112,X111)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_122) ).
fof(f385,plain,
spl0_57,
inference(avatar_split_clause,[],[f120,f383]) ).
fof(f383,plain,
( spl0_57
<=> ! [X112,X111] :
( ~ p__pred_(X112)
| p__pred_(X111)
| ~ p__pred_(f__xnor_(X112,X111)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f120,axiom,
! [X111,X112] :
( ~ p__pred_(X112)
| p__pred_(X111)
| ~ p__pred_(f__xnor_(X112,X111)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_121) ).
fof(f381,plain,
spl0_56,
inference(avatar_split_clause,[],[f119,f379]) ).
fof(f379,plain,
( spl0_56
<=> ! [X109,X110] :
( p__pred_(X110)
| p__pred_(X109)
| p__pred_(f__nor_(X110,X109)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f119,axiom,
! [X109,X110] :
( p__pred_(X110)
| p__pred_(X109)
| p__pred_(f__nor_(X110,X109)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_120) ).
fof(f377,plain,
spl0_55,
inference(avatar_split_clause,[],[f114,f375]) ).
fof(f375,plain,
( spl0_55
<=> ! [X107,X108] :
( ~ p__pred_(X107)
| ~ p__pred_(X108)
| ~ p__pred_(f__nand_(X107,X108)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f114,axiom,
! [X108,X107] :
( ~ p__pred_(X107)
| ~ p__pred_(X108)
| ~ p__pred_(f__nand_(X107,X108)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_115) ).
fof(f373,plain,
spl0_54,
inference(avatar_split_clause,[],[f113,f371]) ).
fof(f371,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(f113,axiom,
! [X106,X105] :
( ~ p__pred_(X105)
| p__pred_(X106)
| p__pred_(f__xor_(X106,X105)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_114) ).
fof(f369,plain,
spl0_53,
inference(avatar_split_clause,[],[f112,f367]) ).
fof(f367,plain,
( spl0_53
<=> ! [X105,X106] :
( ~ p__pred_(X106)
| p__pred_(X105)
| p__pred_(f__xor_(X106,X105)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f112,axiom,
! [X106,X105] :
( ~ p__pred_(X106)
| p__pred_(X105)
| p__pred_(f__xor_(X106,X105)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_113) ).
fof(f365,plain,
spl0_52,
inference(avatar_split_clause,[],[f111,f363]) ).
fof(f363,plain,
( spl0_52
<=> ! [X105,X106] :
( p__pred_(X105)
| p__pred_(X106)
| ~ p__pred_(f__xor_(X106,X105)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f111,axiom,
! [X106,X105] :
( p__pred_(X105)
| p__pred_(X106)
| ~ p__pred_(f__xor_(X106,X105)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_112) ).
fof(f361,plain,
spl0_51,
inference(avatar_split_clause,[],[f110,f359]) ).
fof(f359,plain,
( spl0_51
<=> ! [X105,X106] :
( ~ p__pred_(X105)
| ~ p__pred_(X106)
| ~ p__pred_(f__xor_(X106,X105)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f110,axiom,
! [X106,X105] :
( ~ p__pred_(X105)
| ~ p__pred_(X106)
| ~ p__pred_(f__xor_(X106,X105)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_111) ).
fof(f357,plain,
spl0_50,
inference(avatar_split_clause,[],[f107,f355]) ).
fof(f355,plain,
( spl0_50
<=> ! [X104,X103] :
( p__pred_(X103)
| p__pred_(X104)
| ~ p__pred_(f__or_(X103,X104)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f107,axiom,
! [X104,X103] :
( p__pred_(X103)
| p__pred_(X104)
| ~ p__pred_(f__or_(X103,X104)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_108) ).
fof(f353,plain,
spl0_49,
inference(avatar_split_clause,[],[f106,f351]) ).
fof(f351,plain,
( spl0_49
<=> ! [X102,X101] :
( ~ p__pred_(X102)
| ~ p__pred_(X101)
| p__pred_(f__and_(X102,X101)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f106,axiom,
! [X101,X102] :
( ~ p__pred_(X102)
| ~ p__pred_(X101)
| p__pred_(f__and_(X102,X101)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_107) ).
fof(f349,plain,
spl0_48,
inference(avatar_split_clause,[],[f101,f347]) ).
fof(f347,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(f101,axiom,
! [X98,X97] :
( p__pred_(X97)
| p__pred_(X98)
| p__pred_(f__equiv_(X98,X97)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_102) ).
fof(f345,plain,
spl0_47,
inference(avatar_split_clause,[],[f100,f343]) ).
fof(f343,plain,
( spl0_47
<=> ! [X98,X97] :
( ~ p__pred_(X97)
| ~ p__pred_(X98)
| p__pred_(f__equiv_(X98,X97)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f100,axiom,
! [X98,X97] :
( ~ p__pred_(X97)
| ~ p__pred_(X98)
| p__pred_(f__equiv_(X98,X97)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_101) ).
fof(f341,plain,
spl0_46,
inference(avatar_split_clause,[],[f99,f339]) ).
fof(f339,plain,
( spl0_46
<=> ! [X98,X97] :
( ~ p__pred_(X97)
| p__pred_(X98)
| ~ p__pred_(f__equiv_(X98,X97)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f99,axiom,
! [X98,X97] :
( ~ p__pred_(X97)
| p__pred_(X98)
| ~ p__pred_(f__equiv_(X98,X97)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_100) ).
fof(f337,plain,
spl0_45,
inference(avatar_split_clause,[],[f98,f335]) ).
fof(f335,plain,
( spl0_45
<=> ! [X98,X97] :
( ~ p__pred_(X98)
| p__pred_(X97)
| ~ p__pred_(f__equiv_(X98,X97)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f98,axiom,
! [X98,X97] :
( ~ p__pred_(X98)
| p__pred_(X97)
| ~ p__pred_(f__equiv_(X98,X97)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_99) ).
fof(f333,plain,
spl0_44,
inference(avatar_split_clause,[],[f60,f331]) ).
fof(f331,plain,
( spl0_44
<=> ! [X29] :
( p_LES_EQU_(X29,n0)
| ~ p_LES_EQU_(X29,f_SUB_(X29,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f60,axiom,
! [X29] :
( p_LES_EQU_(X29,n0)
| ~ p_LES_EQU_(X29,f_SUB_(X29,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).
fof(f329,plain,
spl0_43,
inference(avatar_split_clause,[],[f13,f327]) ).
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/benchmark/theBenchmark.p',axiom_14) ).
fof(f325,plain,
spl0_42,
inference(avatar_split_clause,[],[f12,f323]) ).
fof(f323,plain,
( spl0_42
<=> ! [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_42])]) ).
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/benchmark/theBenchmark.p',axiom_13) ).
fof(f316,plain,
spl0_41,
inference(avatar_split_clause,[],[f138,f314]) ).
fof(f314,plain,
( spl0_41
<=> ! [X62,X63] : f__index_(f__cons_(X62,X63),n0) = X62 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f138,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/sandbox/benchmark/theBenchmark.p',axiom_84) ).
fof(f312,plain,
spl0_40,
inference(avatar_split_clause,[],[f133,f310]) ).
fof(f310,plain,
( spl0_40
<=> ! [X121,X120] :
( ~ p_LES_EQU_(X120,X121)
| p__pred_(f__geq_(X121,X120)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f133,axiom,
! [X120,X121] :
( ~ p_LES_EQU_(X120,X121)
| p__pred_(f__geq_(X121,X120)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_134) ).
fof(f308,plain,
spl0_39,
inference(avatar_split_clause,[],[f132,f306]) ).
fof(f306,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(f132,axiom,
! [X120,X121] :
( p_LES_EQU_(X120,X121)
| ~ p__pred_(f__geq_(X121,X120)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_133) ).
fof(f304,plain,
spl0_38,
inference(avatar_split_clause,[],[f131,f302]) ).
fof(f302,plain,
( spl0_38
<=> ! [X118,X119] :
( p_LES_EQU_(X118,X119)
| p__pred_(f__gt_(X118,X119)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f131,axiom,
! [X118,X119] :
( p_LES_EQU_(X118,X119)
| p__pred_(f__gt_(X118,X119)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_132) ).
fof(f300,plain,
spl0_37,
inference(avatar_split_clause,[],[f130,f298]) ).
fof(f298,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(f130,axiom,
! [X118,X119] :
( ~ p_LES_EQU_(X118,X119)
| ~ p__pred_(f__gt_(X118,X119)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_131) ).
fof(f296,plain,
spl0_36,
inference(avatar_split_clause,[],[f129,f294]) ).
fof(f294,plain,
( spl0_36
<=> ! [X116,X117] :
( ~ p_LES_EQU_(X116,X117)
| p__pred_(f__leq_(X116,X117)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f129,axiom,
! [X116,X117] :
( ~ p_LES_EQU_(X116,X117)
| p__pred_(f__leq_(X116,X117)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_130) ).
fof(f292,plain,
spl0_35,
inference(avatar_split_clause,[],[f128,f290]) ).
fof(f290,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(f128,axiom,
! [X116,X117] :
( p_LES_EQU_(X116,X117)
| ~ p__pred_(f__leq_(X116,X117)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_129) ).
fof(f288,plain,
spl0_34,
inference(avatar_split_clause,[],[f127,f286]) ).
fof(f286,plain,
( spl0_34
<=> ! [X114,X115] :
( p_LES_EQU_(X114,X115)
| p__pred_(f__lt_(X115,X114)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f127,axiom,
! [X114,X115] :
( p_LES_EQU_(X114,X115)
| p__pred_(f__lt_(X115,X114)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_128) ).
fof(f284,plain,
spl0_33,
inference(avatar_split_clause,[],[f126,f282]) ).
fof(f282,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(f126,axiom,
! [X114,X115] :
( ~ p_LES_EQU_(X114,X115)
| ~ p__pred_(f__lt_(X115,X114)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_127) ).
fof(f280,plain,
spl0_32,
inference(avatar_split_clause,[],[f102,f278]) ).
fof(f278,plain,
( spl0_32
<=> ! [X100,X99] :
( X99 = X100
| ~ p__pred_(f__equal_(X99,X100)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f102,axiom,
! [X99,X100] :
( X99 = X100
| ~ p__pred_(f__equal_(X99,X100)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_103) ).
fof(f276,plain,
spl0_31,
inference(avatar_split_clause,[],[f8,f274]) ).
fof(f274,plain,
( spl0_31
<=> ! [X5] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X5))
| n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f8,axiom,
! [X5] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X5))
| n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f272,plain,
spl0_30,
inference(avatar_split_clause,[],[f7,f270]) ).
fof(f270,plain,
( spl0_30
<=> ! [X4] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X4))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X4) != n0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f7,axiom,
! [X4] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X4))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X4) != n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f268,plain,
spl0_29,
inference(avatar_split_clause,[],[f6,f266]) ).
fof(f266,plain,
( spl0_29
<=> ! [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_29])]) ).
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/benchmark/theBenchmark.p',axiom_7) ).
fof(f264,plain,
spl0_28,
inference(avatar_split_clause,[],[f5,f262]) ).
fof(f262,plain,
( spl0_28
<=> ! [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_28])]) ).
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/benchmark/theBenchmark.p',axiom_6) ).
fof(f260,plain,
( ~ spl0_27
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f204,f192,f184,f257]) ).
fof(f257,plain,
( spl0_27
<=> n1 = n0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f184,plain,
( spl0_10
<=> ! [X27] : n0 != f_ADD_(X27,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f192,plain,
( spl0_12
<=> ! [X51] : f_ADD_(n0,X51) = X51 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f204,plain,
( n1 != n0
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f185,f193]) ).
fof(f193,plain,
( ! [X51] : f_ADD_(n0,X51) = X51
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f185,plain,
( ! [X27] : n0 != f_ADD_(X27,n1)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f254,plain,
spl0_26,
inference(avatar_split_clause,[],[f118,f252]) ).
fof(f252,plain,
( spl0_26
<=> ! [X109,X110] :
( ~ p__pred_(X110)
| ~ p__pred_(f__nor_(X110,X109)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f118,axiom,
! [X109,X110] :
( ~ p__pred_(X110)
| ~ p__pred_(f__nor_(X110,X109)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_119) ).
fof(f250,plain,
spl0_25,
inference(avatar_split_clause,[],[f117,f248]) ).
fof(f248,plain,
( spl0_25
<=> ! [X109,X110] :
( ~ p__pred_(X109)
| ~ p__pred_(f__nor_(X110,X109)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f117,axiom,
! [X109,X110] :
( ~ p__pred_(X109)
| ~ p__pred_(f__nor_(X110,X109)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_118) ).
fof(f246,plain,
spl0_24,
inference(avatar_split_clause,[],[f116,f244]) ).
fof(f244,plain,
( spl0_24
<=> ! [X107,X108] :
( p__pred_(X107)
| p__pred_(f__nand_(X107,X108)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f116,axiom,
! [X108,X107] :
( p__pred_(X107)
| p__pred_(f__nand_(X107,X108)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_117) ).
fof(f242,plain,
spl0_23,
inference(avatar_split_clause,[],[f115,f240]) ).
fof(f240,plain,
( spl0_23
<=> ! [X108,X107] :
( p__pred_(X108)
| p__pred_(f__nand_(X107,X108)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f115,axiom,
! [X108,X107] :
( p__pred_(X108)
| p__pred_(f__nand_(X107,X108)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_116) ).
fof(f238,plain,
spl0_22,
inference(avatar_split_clause,[],[f109,f236]) ).
fof(f236,plain,
( spl0_22
<=> ! [X104,X103] :
( ~ p__pred_(X103)
| p__pred_(f__or_(X103,X104)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f109,axiom,
! [X104,X103] :
( ~ p__pred_(X103)
| p__pred_(f__or_(X103,X104)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_110) ).
fof(f234,plain,
( ~ spl0_21
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f203,f192,f188,f231]) ).
fof(f231,plain,
( spl0_21
<=> p_LES_EQU_(n1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f188,plain,
( spl0_11
<=> ! [X28] : ~ p_LES_EQU_(f_ADD_(X28,n1),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f203,plain,
( ~ p_LES_EQU_(n1,n0)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f189,f193]) ).
fof(f189,plain,
( ! [X28] : ~ p_LES_EQU_(f_ADD_(X28,n1),n0)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f229,plain,
spl0_20,
inference(avatar_split_clause,[],[f108,f227]) ).
fof(f227,plain,
( spl0_20
<=> ! [X103,X104] :
( ~ p__pred_(X104)
| p__pred_(f__or_(X103,X104)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f108,axiom,
! [X104,X103] :
( ~ p__pred_(X104)
| p__pred_(f__or_(X103,X104)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_109) ).
fof(f225,plain,
spl0_19,
inference(avatar_split_clause,[],[f105,f223]) ).
fof(f223,plain,
( spl0_19
<=> ! [X102,X101] :
( p__pred_(X102)
| ~ p__pred_(f__and_(X102,X101)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f105,axiom,
! [X101,X102] :
( p__pred_(X102)
| ~ p__pred_(f__and_(X102,X101)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_106) ).
fof(f221,plain,
spl0_18,
inference(avatar_split_clause,[],[f104,f219]) ).
fof(f219,plain,
( spl0_18
<=> ! [X102,X101] :
( p__pred_(X101)
| ~ p__pred_(f__and_(X102,X101)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f104,axiom,
! [X101,X102] :
( p__pred_(X101)
| ~ p__pred_(f__and_(X102,X101)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_105) ).
fof(f217,plain,
spl0_17,
inference(avatar_split_clause,[],[f82,f215]) ).
fof(f215,plain,
( spl0_17
<=> ! [X60,X59] : f__index_(f__others_(X59),X60) = X59 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f82,axiom,
! [X59,X60] : f__index_(f__others_(X59),X60) = X59,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_83) ).
fof(f213,plain,
spl0_16,
inference(avatar_split_clause,[],[f72,f211]) ).
fof(f211,plain,
( spl0_16
<=> ! [X46] :
( ~ p_LES_EQU_(X46,n0)
| n0 = X46 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f72,axiom,
! [X46] :
( ~ p_LES_EQU_(X46,n0)
| n0 = X46 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_73) ).
fof(f209,plain,
spl0_15,
inference(avatar_split_clause,[],[f64,f207]) ).
fof(f207,plain,
( spl0_15
<=> ! [X30,X31] :
( ~ def_89(X30,X31)
| p_LES_EQU_(X31,X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f64,axiom,
! [X31,X30] :
( ~ def_89(X30,X31)
| p_LES_EQU_(X31,X30) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_65) ).
fof(f202,plain,
spl0_14,
inference(avatar_split_clause,[],[f125,f200]) ).
fof(f200,plain,
( spl0_14
<=> ! [X113] :
( p__pred_(X113)
| p__pred_(f__not_(X113)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f125,axiom,
! [X113] :
( p__pred_(X113)
| p__pred_(f__not_(X113)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_126) ).
fof(f198,plain,
spl0_13,
inference(avatar_split_clause,[],[f124,f196]) ).
fof(f196,plain,
( spl0_13
<=> ! [X113] :
( ~ p__pred_(X113)
| ~ p__pred_(f__not_(X113)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f124,axiom,
! [X113] :
( ~ p__pred_(X113)
| ~ p__pred_(f__not_(X113)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_125) ).
fof(f194,plain,
spl0_12,
inference(avatar_split_clause,[],[f76,f192]) ).
fof(f76,axiom,
! [X51] : f_ADD_(n0,X51) = X51,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_77) ).
fof(f190,plain,
spl0_11,
inference(avatar_split_clause,[],[f59,f188]) ).
fof(f59,axiom,
! [X28] : ~ p_LES_EQU_(f_ADD_(X28,n1),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_60) ).
fof(f186,plain,
spl0_10,
inference(avatar_split_clause,[],[f58,f184]) ).
fof(f58,axiom,
! [X27] : n0 != f_ADD_(X27,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_59) ).
fof(f182,plain,
spl0_9,
inference(avatar_split_clause,[],[f137,f180]) ).
fof(f180,plain,
( spl0_9
<=> ! [X100] : p__pred_(f__equal_(X100,X100)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f137,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/sandbox/benchmark/theBenchmark.p',axiom_104) ).
fof(f178,plain,
spl0_8,
inference(avatar_split_clause,[],[f79,f175]) ).
fof(f175,plain,
( spl0_8
<=> n0 = f__length_(f__empty_) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f79,axiom,
n0 = f__length_(f__empty_),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_80) ).
fof(f173,plain,
spl0_7,
inference(avatar_split_clause,[],[f136,f171]) ).
fof(f171,plain,
( spl0_7
<=> ! [X31] : ~ def_89(X31,X31) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f136,plain,
! [X31] : ~ def_89(X31,X31),
inference(equality_resolution,[],[f63]) ).
fof(f63,axiom,
! [X31,X30] :
( X30 != X31
| ~ def_89(X30,X31) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_64) ).
fof(f169,plain,
~ spl0_6,
inference(avatar_split_clause,[],[f97,f166]) ).
fof(f166,plain,
( spl0_6
<=> f__true_ = f__false_ ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f97,axiom,
f__true_ != f__false_,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_98) ).
fof(f164,plain,
spl0_5,
inference(avatar_split_clause,[],[f74,f162]) ).
fof(f162,plain,
( spl0_5
<=> ! [X48] : p_LES_EQU_(X48,X48) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f74,axiom,
! [X48] : p_LES_EQU_(X48,X48),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_75) ).
fof(f160,plain,
~ spl0_4,
inference(avatar_split_clause,[],[f96,f157]) ).
fof(f157,plain,
( spl0_4
<=> p__pred_(f__false_) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f96,axiom,
~ p__pred_(f__false_),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_97) ).
fof(f155,plain,
spl0_3,
inference(avatar_split_clause,[],[f95,f152]) ).
fof(f152,plain,
( spl0_3
<=> p__pred_(f__true_) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f95,axiom,
p__pred_(f__true_),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_96) ).
fof(f150,plain,
spl0_2,
inference(avatar_split_clause,[],[f135,f147]) ).
fof(f135,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
fof(f145,plain,
spl0_1,
inference(avatar_split_clause,[],[f134,f142]) ).
fof(f134,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : HWV009-4 : TPTP v8.2.0. Released v2.5.0.
% 0.12/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun May 19 10:58:37 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (5177)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (5184)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)
% 0.14/0.37 % (5178)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (5179)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (5181)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (5182)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)
% 0.14/0.38 % (5182)First to succeed.
% 0.14/0.38 % (5182)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5177"
% 0.14/0.38 % (5182)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (5182)------------------------------
% 0.14/0.38 % (5182)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (5182)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (5182)Memory used [KB]: 1079
% 0.14/0.38 % (5182)Time elapsed: 0.013 s
% 0.14/0.38 % (5182)Instructions burned: 19 (million)
% 0.14/0.38 % (5177)Success in time 0.025 s
%------------------------------------------------------------------------------