TSTP Solution File: HWV019-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HWV019-1 : 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 : n002.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 : Sun May 5 06:33:57 EDT 2024
% Result : Unsatisfiable 0.19s 0.42s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 150
% Syntax : Number of formulae : 251 ( 80 unt; 0 def)
% Number of atoms : 749 ( 74 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 760 ( 262 ~; 420 |; 0 &)
% ( 78 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 92 ( 90 usr; 79 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 212 ( 212 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f648,plain,
$false,
inference(avatar_sat_refutation,[],[f103,f108,f113,f122,f126,f130,f134,f138,f142,f148,f152,f156,f160,f165,f169,f173,f177,f181,f187,f194,f199,f203,f207,f211,f215,f220,f224,f228,f249,f253,f257,f261,f265,f269,f273,f300,f319,f323,f339,f343,f344,f349,f353,f357,f382,f386,f390,f394,f398,f417,f421,f428,f432,f436,f440,f444,f448,f452,f456,f460,f464,f469,f520,f524,f539,f543,f547,f551,f561,f565,f587,f591,f595,f599,f603,f642,f646,f647]) ).
fof(f647,plain,
( ~ spl0_4
| ~ spl0_1
| spl0_2
| spl0_5
| ~ spl0_3
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f470,f415,f110,f119,f105,f100,f115]) ).
fof(f115,plain,
( spl0_4
<=> gt(fifo_length,int_level(t_139)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f100,plain,
( spl0_1
<=> p_Wr(t_139) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f105,plain,
( spl0_2
<=> p_Reset(t_139) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f119,plain,
( spl0_5
<=> p_Rd(t_139) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f110,plain,
( spl0_3
<=> p_Wr_error(plus(t_139,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f415,plain,
( spl0_51
<=> ! [X34] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ p_Wr_error(plus(X34,n1))
| ~ gt(fifo_length,int_level(X34)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f470,plain,
( p_Rd(t_139)
| p_Reset(t_139)
| ~ p_Wr(t_139)
| ~ gt(fifo_length,int_level(t_139))
| ~ spl0_3
| ~ spl0_51 ),
inference(resolution,[],[f416,f112]) ).
fof(f112,plain,
( p_Wr_error(plus(t_139,n1))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f416,plain,
( ! [X34] :
( ~ p_Wr_error(plus(X34,n1))
| p_Rd(X34)
| p_Reset(X34)
| ~ p_Wr(X34)
| ~ gt(fifo_length,int_level(X34)) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f646,plain,
spl0_78,
inference(avatar_split_clause,[],[f59,f644]) ).
fof(f644,plain,
( spl0_78
<=> ! [X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| gt(int_level(X34),n0)
| int_level(plus(X34,n1)) = plus(int_level(X34),n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f59,axiom,
! [X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| gt(int_level(X34),n0)
| int_level(plus(X34,n1)) = plus(int_level(X34),n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_59) ).
fof(f642,plain,
spl0_77,
inference(avatar_split_clause,[],[f35,f640]) ).
fof(f640,plain,
( spl0_77
<=> ! [X34] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ gt(fifo_length,int_level(X34))
| int_level(plus(X34,n1)) = plus(int_level(X34),n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f35,axiom,
! [X34] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ gt(fifo_length,int_level(X34))
| int_level(plus(X34,n1)) = plus(int_level(X34),n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_35) ).
fof(f603,plain,
spl0_76,
inference(avatar_split_clause,[],[f80,f601]) ).
fof(f601,plain,
( spl0_76
<=> ! [X34,X47] :
( ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| ~ p_Data_out(X47,X34)
| gt(int_level(X34),n0)
| p_Data_out(X47,plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f80,axiom,
! [X47,X34] :
( ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| ~ p_Data_out(X47,X34)
| gt(int_level(X34),n0)
| p_Data_out(X47,plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_80) ).
fof(f599,plain,
spl0_75,
inference(avatar_split_clause,[],[f79,f597]) ).
fof(f597,plain,
( spl0_75
<=> ! [X34,X47] :
( ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| p_Data_out(X47,X34)
| gt(int_level(X34),n0)
| ~ p_Data_out(X47,plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f79,axiom,
! [X47,X34] :
( ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| p_Data_out(X47,X34)
| gt(int_level(X34),n0)
| ~ p_Data_out(X47,plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_79) ).
fof(f595,plain,
spl0_74,
inference(avatar_split_clause,[],[f68,f593]) ).
fof(f593,plain,
( spl0_74
<=> ! [X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| n0 = wr_level(plus(X34,n1))
| gt(minus(fifo_length,n1),wr_level(X34)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f68,axiom,
! [X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| n0 = wr_level(plus(X34,n1))
| gt(minus(fifo_length,n1),wr_level(X34)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_68) ).
fof(f591,plain,
spl0_73,
inference(avatar_split_clause,[],[f62,f589]) ).
fof(f589,plain,
( spl0_73
<=> ! [X34,X42] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ p_Data_out(X42,X34)
| gt(int_level(X34),n0)
| p_Data_out(X42,plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f62,axiom,
! [X34,X42] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ p_Data_out(X42,X34)
| gt(int_level(X34),n0)
| p_Data_out(X42,plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_62) ).
fof(f587,plain,
spl0_72,
inference(avatar_split_clause,[],[f61,f585]) ).
fof(f585,plain,
( spl0_72
<=> ! [X34,X42] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| p_Data_out(X42,X34)
| gt(int_level(X34),n0)
| ~ p_Data_out(X42,plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f61,axiom,
! [X34,X42] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| p_Data_out(X42,X34)
| gt(int_level(X34),n0)
| ~ p_Data_out(X42,plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).
fof(f565,plain,
spl0_71,
inference(avatar_split_clause,[],[f78,f563]) ).
fof(f563,plain,
( spl0_71
<=> ! [X34] :
( ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| gt(int_level(X34),n0)
| int_level(X34) = int_level(plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f78,axiom,
! [X34] :
( ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| gt(int_level(X34),n0)
| int_level(X34) = int_level(plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_78) ).
fof(f561,plain,
spl0_70,
inference(avatar_split_clause,[],[f77,f559]) ).
fof(f559,plain,
( spl0_70
<=> ! [X34] :
( ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| gt(int_level(X34),n0)
| rd_level(plus(X34,n1)) = rd_level(X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f77,axiom,
! [X34] :
( ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| gt(int_level(X34),n0)
| rd_level(plus(X34,n1)) = rd_level(X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_77) ).
fof(f551,plain,
spl0_69,
inference(avatar_split_clause,[],[f60,f549]) ).
fof(f549,plain,
( spl0_69
<=> ! [X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| gt(int_level(X34),n0)
| rd_level(plus(X34,n1)) = rd_level(X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f60,axiom,
! [X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| gt(int_level(X34),n0)
| rd_level(plus(X34,n1)) = rd_level(X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_60) ).
fof(f547,plain,
spl0_68,
inference(avatar_split_clause,[],[f53,f545]) ).
fof(f545,plain,
( spl0_68
<=> ! [X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| int_level(X34) = int_level(plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f53,axiom,
! [X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| int_level(X34) = int_level(plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_53) ).
fof(f543,plain,
spl0_67,
inference(avatar_split_clause,[],[f44,f541]) ).
fof(f541,plain,
( spl0_67
<=> ! [X34] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| gt(fifo_length,int_level(X34))
| int_level(X34) = int_level(plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f44,axiom,
! [X34] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| gt(fifo_length,int_level(X34))
| int_level(X34) = int_level(plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_44) ).
fof(f539,plain,
spl0_66,
inference(avatar_split_clause,[],[f43,f537]) ).
fof(f537,plain,
( spl0_66
<=> ! [X34] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| gt(fifo_length,int_level(X34))
| wr_level(X34) = wr_level(plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f43,axiom,
! [X34] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| gt(fifo_length,int_level(X34))
| wr_level(X34) = wr_level(plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_43) ).
fof(f524,plain,
spl0_65,
inference(avatar_split_clause,[],[f64,f522]) ).
fof(f522,plain,
( spl0_65
<=> ! [X34,X43] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ p_Data_in(X43,X34)
| p_Mem(wr_level(X34),X43,plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f64,axiom,
! [X34,X43] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ p_Data_in(X43,X34)
| p_Mem(wr_level(X34),X43,plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_64) ).
fof(f520,plain,
spl0_64,
inference(avatar_split_clause,[],[f63,f518]) ).
fof(f518,plain,
( spl0_64
<=> ! [X34,X43] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| p_Data_in(X43,X34)
| ~ p_Mem(wr_level(X34),X43,plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f63,axiom,
! [X34,X43] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| p_Data_in(X43,X34)
| ~ p_Mem(wr_level(X34),X43,plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_63) ).
fof(f469,plain,
( ~ spl0_63
| ~ spl0_6
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f423,f380,f124,f466]) ).
fof(f466,plain,
( spl0_63
<=> gt(int_level(t_139),fifo_length) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f124,plain,
( spl0_6
<=> ! [X21] : ~ gt(X21,X21) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f380,plain,
( spl0_46
<=> ! [X0] :
( ~ gt(X0,fifo_length)
| gt(X0,int_level(t_139)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f423,plain,
( ~ gt(int_level(t_139),fifo_length)
| ~ spl0_6
| ~ spl0_46 ),
inference(resolution,[],[f381,f125]) ).
fof(f125,plain,
( ! [X21] : ~ gt(X21,X21)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f381,plain,
( ! [X0] :
( gt(X0,int_level(t_139))
| ~ gt(X0,fifo_length) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f464,plain,
spl0_62,
inference(avatar_split_clause,[],[f88,f462]) ).
fof(f462,plain,
( spl0_62
<=> ! [X34,X50,X49] :
( p_Wr(X34)
| p_Reset(X34)
| ~ p_Mem(X49,X50,X34)
| p_Mem(X49,X50,plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f88,axiom,
! [X50,X49,X34] :
( p_Wr(X34)
| p_Reset(X34)
| ~ p_Mem(X49,X50,X34)
| p_Mem(X49,X50,plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_88) ).
fof(f460,plain,
spl0_61,
inference(avatar_split_clause,[],[f87,f458]) ).
fof(f458,plain,
( spl0_61
<=> ! [X34,X50,X49] :
( p_Wr(X34)
| p_Reset(X34)
| p_Mem(X49,X50,X34)
| ~ p_Mem(X49,X50,plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f87,axiom,
! [X50,X49,X34] :
( p_Wr(X34)
| p_Reset(X34)
| p_Mem(X49,X50,X34)
| ~ p_Mem(X49,X50,plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_87) ).
fof(f456,plain,
spl0_60,
inference(avatar_split_clause,[],[f84,f454]) ).
fof(f454,plain,
( spl0_60
<=> ! [X34,X48] :
( p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ p_Data_out(X48,X34)
| p_Data_out(X48,plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f84,axiom,
! [X48,X34] :
( p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ p_Data_out(X48,X34)
| p_Data_out(X48,plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_84) ).
fof(f452,plain,
spl0_59,
inference(avatar_split_clause,[],[f83,f450]) ).
fof(f450,plain,
( spl0_59
<=> ! [X34,X48] :
( p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| p_Data_out(X48,X34)
| ~ p_Data_out(X48,plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f83,axiom,
! [X48,X34] :
( p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| p_Data_out(X48,X34)
| ~ p_Data_out(X48,plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_83) ).
fof(f448,plain,
spl0_58,
inference(avatar_split_clause,[],[f76,f446]) ).
fof(f446,plain,
( spl0_58
<=> ! [X34] :
( ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| p_Rd_error(plus(X34,n1))
| gt(int_level(X34),n0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f76,axiom,
! [X34] :
( ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| p_Rd_error(plus(X34,n1))
| gt(int_level(X34),n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_76) ).
fof(f444,plain,
spl0_57,
inference(avatar_split_clause,[],[f70,f442]) ).
fof(f442,plain,
( spl0_57
<=> ! [X34] :
( ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| ~ p_Rd_error(plus(X34,n1))
| ~ gt(int_level(X34),n0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f70,axiom,
! [X34] :
( ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| ~ p_Rd_error(plus(X34,n1))
| ~ gt(int_level(X34),n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_70) ).
fof(f440,plain,
spl0_56,
inference(avatar_split_clause,[],[f58,f438]) ).
fof(f438,plain,
( spl0_56
<=> ! [X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| p_Rd_error(plus(X34,n1))
| gt(int_level(X34),n0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f58,axiom,
! [X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| p_Rd_error(plus(X34,n1))
| gt(int_level(X34),n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_58) ).
fof(f436,plain,
spl0_55,
inference(avatar_split_clause,[],[f52,f434]) ).
fof(f434,plain,
( spl0_55
<=> ! [X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ p_Rd_error(plus(X34,n1))
| ~ gt(int_level(X34),n0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f52,axiom,
! [X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ p_Rd_error(plus(X34,n1))
| ~ gt(int_level(X34),n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_52) ).
fof(f432,plain,
spl0_54,
inference(avatar_split_clause,[],[f48,f430]) ).
fof(f430,plain,
( spl0_54
<=> ! [X34,X40] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ p_Data_out(X40,X34)
| p_Data_out(X40,plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f48,axiom,
! [X40,X34] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ p_Data_out(X40,X34)
| p_Data_out(X40,plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_48) ).
fof(f428,plain,
spl0_53,
inference(avatar_split_clause,[],[f47,f426]) ).
fof(f426,plain,
( spl0_53
<=> ! [X34,X40] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| p_Data_out(X40,X34)
| ~ p_Data_out(X40,plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f47,axiom,
! [X40,X34] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| p_Data_out(X40,X34)
| ~ p_Data_out(X40,plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_47) ).
fof(f421,plain,
spl0_52,
inference(avatar_split_clause,[],[f42,f419]) ).
fof(f419,plain,
( spl0_52
<=> ! [X34] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| p_Wr_error(plus(X34,n1))
| gt(fifo_length,int_level(X34)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f42,axiom,
! [X34] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| p_Wr_error(plus(X34,n1))
| gt(fifo_length,int_level(X34)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_42) ).
fof(f417,plain,
spl0_51,
inference(avatar_split_clause,[],[f34,f415]) ).
fof(f34,axiom,
! [X34] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ p_Wr_error(plus(X34,n1))
| ~ gt(fifo_length,int_level(X34)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).
fof(f398,plain,
spl0_50,
inference(avatar_split_clause,[],[f82,f396]) ).
fof(f396,plain,
( spl0_50
<=> ! [X34] :
( p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| int_level(X34) = int_level(plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f82,axiom,
! [X34] :
( p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| int_level(X34) = int_level(plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_82) ).
fof(f394,plain,
spl0_49,
inference(avatar_split_clause,[],[f81,f392]) ).
fof(f392,plain,
( spl0_49
<=> ! [X34] :
( p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| rd_level(plus(X34,n1)) = rd_level(X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f81,axiom,
! [X34] :
( p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| rd_level(plus(X34,n1)) = rd_level(X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_81) ).
fof(f390,plain,
spl0_48,
inference(avatar_split_clause,[],[f33,f388]) ).
fof(f388,plain,
( spl0_48
<=> ! [X34] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| rd_level(plus(X34,n1)) = rd_level(X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f33,axiom,
! [X34] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| rd_level(plus(X34,n1)) = rd_level(X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_33) ).
fof(f386,plain,
spl0_47,
inference(avatar_split_clause,[],[f14,f384]) ).
fof(f384,plain,
( spl0_47
<=> ! [X18,X17] :
( ~ gt(X17,X18)
| plus(X18,n1) = X17
| gt(X17,plus(X18,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f14,axiom,
! [X18,X17] :
( ~ gt(X17,X18)
| plus(X18,n1) = X17
| gt(X17,plus(X18,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f382,plain,
( spl0_46
| ~ spl0_4
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f345,f222,f115,f380]) ).
fof(f222,plain,
( spl0_28
<=> ! [X16,X14,X15] :
( ~ gt(X15,X16)
| ~ gt(X14,X15)
| gt(X14,X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f345,plain,
( ! [X0] :
( ~ gt(X0,fifo_length)
| gt(X0,int_level(t_139)) )
| ~ spl0_4
| ~ spl0_28 ),
inference(resolution,[],[f117,f223]) ).
fof(f223,plain,
( ! [X16,X14,X15] :
( ~ gt(X15,X16)
| ~ gt(X14,X15)
| gt(X14,X16) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f117,plain,
( gt(fifo_length,int_level(t_139))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f357,plain,
spl0_45,
inference(avatar_split_clause,[],[f98,f355]) ).
fof(f355,plain,
( spl0_45
<=> ! [X4,X5] :
( def_10(X4,plus(X5,X4))
| minus(plus(X5,X4),X4) = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f98,plain,
! [X4,X5] :
( def_10(X4,plus(X5,X4))
| minus(plus(X5,X4),X4) = X5 ),
inference(equality_resolution,[],[f5]) ).
fof(f5,axiom,
! [X3,X4,X5] :
( def_10(X4,X3)
| plus(X5,X4) != X3
| minus(X3,X4) = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f353,plain,
spl0_44,
inference(avatar_split_clause,[],[f86,f351]) ).
fof(f351,plain,
( spl0_44
<=> ! [X34] :
( ~ p_Rd_error(X34)
| p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| p_Rd_error(plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f86,axiom,
! [X34] :
( ~ p_Rd_error(X34)
| p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| p_Rd_error(plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_86) ).
fof(f349,plain,
spl0_43,
inference(avatar_split_clause,[],[f85,f347]) ).
fof(f347,plain,
( spl0_43
<=> ! [X34] :
( p_Rd_error(X34)
| p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ p_Rd_error(plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f85,axiom,
! [X34] :
( p_Rd_error(X34)
| p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ p_Rd_error(plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_85) ).
fof(f344,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_3
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f301,f259,f110,f119,f105,f100]) ).
fof(f259,plain,
( spl0_33
<=> ! [X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ p_Wr_error(plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f301,plain,
( ~ p_Rd(t_139)
| p_Reset(t_139)
| ~ p_Wr(t_139)
| ~ spl0_3
| ~ spl0_33 ),
inference(resolution,[],[f260,f112]) ).
fof(f260,plain,
( ! [X34] :
( ~ p_Wr_error(plus(X34,n1))
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ p_Wr(X34) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f343,plain,
spl0_42,
inference(avatar_split_clause,[],[f50,f341]) ).
fof(f341,plain,
( spl0_42
<=> ! [X34] :
( ~ p_Rd_error(X34)
| ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| p_Rd_error(plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f50,axiom,
! [X34] :
( ~ p_Rd_error(X34)
| ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| p_Rd_error(plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_50) ).
fof(f339,plain,
spl0_41,
inference(avatar_split_clause,[],[f49,f337]) ).
fof(f337,plain,
( spl0_41
<=> ! [X34] :
( ~ p_Wr(X34)
| p_Rd_error(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ p_Rd_error(plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f49,axiom,
! [X34] :
( ~ p_Wr(X34)
| p_Rd_error(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ p_Rd_error(plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_49) ).
fof(f323,plain,
spl0_40,
inference(avatar_split_clause,[],[f69,f321]) ).
fof(f321,plain,
( spl0_40
<=> ! [X34] :
( p_Wr(X34)
| p_Reset(X34)
| wr_level(X34) = wr_level(plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f69,axiom,
! [X34] :
( p_Wr(X34)
| p_Reset(X34)
| wr_level(X34) = wr_level(plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_69) ).
fof(f319,plain,
spl0_39,
inference(avatar_split_clause,[],[f11,f317]) ).
fof(f317,plain,
( spl0_39
<=> ! [X11,X10] :
( X10 = X11
| gt(X10,X11)
| ~ gt(plus(X10,n1),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f11,axiom,
! [X10,X11] :
( X10 = X11
| gt(X10,X11)
| ~ gt(plus(X10,n1),X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f300,plain,
( ~ spl0_37
| ~ spl0_38
| ~ spl0_10
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f189,f175,f140,f297,f293]) ).
fof(f293,plain,
( spl0_37
<=> p_Reset(n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f297,plain,
( spl0_38
<=> p_Wr_error(n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f140,plain,
( spl0_10
<=> ! [X24] : plus(n0,X24) = X24 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f175,plain,
( spl0_18
<=> ! [X30] :
( ~ p_Reset(X30)
| ~ p_Wr_error(plus(X30,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f189,plain,
( ~ p_Wr_error(n1)
| ~ p_Reset(n0)
| ~ spl0_10
| ~ spl0_18 ),
inference(superposition,[],[f176,f141]) ).
fof(f141,plain,
( ! [X24] : plus(n0,X24) = X24
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f176,plain,
( ! [X30] :
( ~ p_Wr_error(plus(X30,n1))
| ~ p_Reset(X30) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f273,plain,
spl0_36,
inference(avatar_split_clause,[],[f97,f271]) ).
fof(f271,plain,
( spl0_36
<=> ! [X4,X3] :
( def_10(X4,X3)
| plus(minus(X3,X4),X4) = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f97,plain,
! [X3,X4] :
( def_10(X4,X3)
| plus(minus(X3,X4),X4) = X3 ),
inference(equality_resolution,[],[f4]) ).
fof(f4,axiom,
! [X3,X4,X5] :
( def_10(X4,X3)
| minus(X3,X4) != X5
| plus(X5,X4) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f269,plain,
spl0_35,
inference(avatar_split_clause,[],[f90,f267]) ).
fof(f267,plain,
( spl0_35
<=> ! [X34] :
( ~ p_Wr_error(X34)
| p_Wr(X34)
| p_Reset(X34)
| p_Wr_error(plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f90,axiom,
! [X34] :
( ~ p_Wr_error(X34)
| p_Wr(X34)
| p_Reset(X34)
| p_Wr_error(plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_90) ).
fof(f265,plain,
spl0_34,
inference(avatar_split_clause,[],[f89,f263]) ).
fof(f263,plain,
( spl0_34
<=> ! [X34] :
( p_Wr_error(X34)
| p_Wr(X34)
| p_Reset(X34)
| ~ p_Wr_error(plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f89,axiom,
! [X34] :
( p_Wr_error(X34)
| p_Wr(X34)
| p_Reset(X34)
| ~ p_Wr_error(plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_89) ).
fof(f261,plain,
spl0_33,
inference(avatar_split_clause,[],[f51,f259]) ).
fof(f51,axiom,
! [X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ p_Wr_error(plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_51) ).
fof(f257,plain,
spl0_32,
inference(avatar_split_clause,[],[f18,f255]) ).
fof(f255,plain,
( spl0_32
<=> ! [X22,X23] :
( X22 = X23
| plus(X22,n1) != plus(X23,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f18,axiom,
! [X22,X23] :
( X22 = X23
| plus(X22,n1) != plus(X23,n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
fof(f253,plain,
spl0_31,
inference(avatar_split_clause,[],[f9,f251]) ).
fof(f251,plain,
( spl0_31
<=> ! [X6,X7] :
( gt(X6,X7)
| ~ gt(plus(X6,n1),plus(X7,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f9,axiom,
! [X6,X7] :
( gt(X6,X7)
| ~ gt(plus(X6,n1),plus(X7,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f249,plain,
spl0_30,
inference(avatar_split_clause,[],[f8,f247]) ).
fof(f247,plain,
( spl0_30
<=> ! [X6,X7] :
( ~ gt(X6,X7)
| gt(plus(X6,n1),plus(X7,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f8,axiom,
! [X6,X7] :
( ~ gt(X6,X7)
| gt(plus(X6,n1),plus(X7,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f228,plain,
spl0_29,
inference(avatar_split_clause,[],[f16,f226]) ).
fof(f226,plain,
( spl0_29
<=> ! [X20] :
( n0 = X20
| plus(y_27(X20),n1) = X20 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f16,axiom,
! [X20] :
( n0 = X20
| plus(y_27(X20),n1) = X20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
fof(f224,plain,
spl0_28,
inference(avatar_split_clause,[],[f13,f222]) ).
fof(f13,axiom,
! [X16,X14,X15] :
( ~ gt(X15,X16)
| ~ gt(X14,X15)
| gt(X14,X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f220,plain,
spl0_27,
inference(avatar_split_clause,[],[f12,f218]) ).
fof(f218,plain,
( spl0_27
<=> ! [X13,X12] :
( X12 = X13
| gt(X12,X13)
| gt(X13,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f12,axiom,
! [X12,X13] :
( X12 = X13
| gt(X12,X13)
| gt(X13,X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f215,plain,
spl0_26,
inference(avatar_split_clause,[],[f31,f213]) ).
fof(f213,plain,
( spl0_26
<=> ! [X32,X30,X31] :
( ~ p_Reset(X30)
| ~ p_Mem(X31,X32,plus(X30,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f31,axiom,
! [X31,X32,X30] :
( ~ p_Reset(X30)
| ~ p_Mem(X31,X32,plus(X30,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).
fof(f211,plain,
spl0_25,
inference(avatar_split_clause,[],[f28,f209]) ).
fof(f209,plain,
( spl0_25
<=> ! [X30] :
( ~ p_Reset(X30)
| n0 = rd_level(plus(X30,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f28,axiom,
! [X30] :
( ~ p_Reset(X30)
| n0 = rd_level(plus(X30,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).
fof(f207,plain,
spl0_24,
inference(avatar_split_clause,[],[f27,f205]) ).
fof(f205,plain,
( spl0_24
<=> ! [X30] :
( ~ p_Reset(X30)
| n0 = wr_level(plus(X30,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f27,axiom,
! [X30] :
( ~ p_Reset(X30)
| n0 = wr_level(plus(X30,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).
fof(f203,plain,
spl0_23,
inference(avatar_split_clause,[],[f26,f201]) ).
fof(f201,plain,
( spl0_23
<=> ! [X30] :
( ~ p_Reset(X30)
| n0 = int_level(plus(X30,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f26,axiom,
! [X30] :
( ~ p_Reset(X30)
| n0 = int_level(plus(X30,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
fof(f199,plain,
spl0_22,
inference(avatar_split_clause,[],[f3,f197]) ).
fof(f197,plain,
( spl0_22
<=> ! [X2] :
( ~ gt(X2,n0)
| gt(X2,minus(X2,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f3,axiom,
! [X2] :
( ~ gt(X2,n0)
| gt(X2,minus(X2,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f194,plain,
spl0_21,
inference(avatar_split_clause,[],[f32,f192]) ).
fof(f192,plain,
( spl0_21
<=> ! [X30,X33] :
( ~ p_Reset(X30)
| ~ p_Data_out(X33,plus(X30,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f32,axiom,
! [X30,X33] :
( ~ p_Reset(X30)
| ~ p_Data_out(X33,plus(X30,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).
fof(f187,plain,
( ~ spl0_20
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f144,f140,f132,f184]) ).
fof(f184,plain,
( spl0_20
<=> n1 = n0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f132,plain,
( spl0_8
<=> ! [X0] : plus(X0,n1) != n0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f144,plain,
( n1 != n0
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f133,f141]) ).
fof(f133,plain,
( ! [X0] : plus(X0,n1) != n0
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f181,plain,
spl0_19,
inference(avatar_split_clause,[],[f30,f179]) ).
fof(f179,plain,
( spl0_19
<=> ! [X30] :
( ~ p_Reset(X30)
| ~ p_Rd_error(plus(X30,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f30,axiom,
! [X30] :
( ~ p_Reset(X30)
| ~ p_Rd_error(plus(X30,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
fof(f177,plain,
spl0_18,
inference(avatar_split_clause,[],[f29,f175]) ).
fof(f29,axiom,
! [X30] :
( ~ p_Reset(X30)
| ~ p_Wr_error(plus(X30,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).
fof(f173,plain,
spl0_17,
inference(avatar_split_clause,[],[f25,f171]) ).
fof(f171,plain,
( spl0_17
<=> ! [X29] :
( ~ p_Empty(X29)
| n0 = int_level(X29) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f25,axiom,
! [X29] :
( ~ p_Empty(X29)
| n0 = int_level(X29) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).
fof(f169,plain,
spl0_16,
inference(avatar_split_clause,[],[f24,f167]) ).
fof(f167,plain,
( spl0_16
<=> ! [X28] :
( p_Empty(X28)
| n0 != int_level(X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f24,axiom,
! [X28] :
( p_Empty(X28)
| n0 != int_level(X28) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).
fof(f165,plain,
( spl0_15
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f143,f140,f136,f162]) ).
fof(f162,plain,
( spl0_15
<=> gt(n1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f136,plain,
( spl0_9
<=> ! [X1] : gt(plus(X1,n1),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f143,plain,
( gt(n1,n0)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f137,f141]) ).
fof(f137,plain,
( ! [X1] : gt(plus(X1,n1),n0)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f160,plain,
spl0_14,
inference(avatar_split_clause,[],[f23,f158]) ).
fof(f158,plain,
( spl0_14
<=> ! [X27] :
( ~ p_Full(X27)
| fifo_length = int_level(X27) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f23,axiom,
! [X27] :
( ~ p_Full(X27)
| fifo_length = int_level(X27) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).
fof(f156,plain,
spl0_13,
inference(avatar_split_clause,[],[f22,f154]) ).
fof(f154,plain,
( spl0_13
<=> ! [X26] :
( p_Full(X26)
| int_level(X26) != fifo_length ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f22,axiom,
! [X26] :
( p_Full(X26)
| int_level(X26) != fifo_length ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
fof(f152,plain,
spl0_12,
inference(avatar_split_clause,[],[f15,f150]) ).
fof(f150,plain,
( spl0_12
<=> ! [X19] :
( n0 = X19
| gt(X19,n0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f15,axiom,
! [X19] :
( n0 = X19
| gt(X19,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f148,plain,
spl0_11,
inference(avatar_split_clause,[],[f6,f146]) ).
fof(f146,plain,
( spl0_11
<=> ! [X4,X3] :
( ~ def_10(X4,X3)
| ~ gt(X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f6,axiom,
! [X3,X4] :
( ~ def_10(X4,X3)
| ~ gt(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f142,plain,
spl0_10,
inference(avatar_split_clause,[],[f19,f140]) ).
fof(f19,axiom,
! [X24] : plus(n0,X24) = X24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(f138,plain,
spl0_9,
inference(avatar_split_clause,[],[f2,f136]) ).
fof(f2,axiom,
! [X1] : gt(plus(X1,n1),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f134,plain,
spl0_8,
inference(avatar_split_clause,[],[f1,f132]) ).
fof(f1,axiom,
! [X0] : plus(X0,n1) != n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f130,plain,
spl0_7,
inference(avatar_split_clause,[],[f96,f128]) ).
fof(f128,plain,
( spl0_7
<=> ! [X4] : ~ def_10(X4,X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f96,plain,
! [X4] : ~ def_10(X4,X4),
inference(equality_resolution,[],[f7]) ).
fof(f7,axiom,
! [X3,X4] :
( X3 != X4
| ~ def_10(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f126,plain,
spl0_6,
inference(avatar_split_clause,[],[f17,f124]) ).
fof(f17,axiom,
! [X21] : ~ gt(X21,X21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(f122,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f95,f119,f115]) ).
fof(f95,plain,
( p_Rd(t_139)
| gt(fifo_length,int_level(t_139)) ),
inference(definition_unfolding,[],[f94,f21]) ).
fof(f21,axiom,
! [X25] : level(X25) = int_level(X25),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
fof(f94,axiom,
( p_Rd(t_139)
| gt(fifo_length,level(t_139)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
fof(f113,plain,
spl0_3,
inference(avatar_split_clause,[],[f91,f110]) ).
fof(f91,axiom,
p_Wr_error(plus(t_139,n1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
fof(f108,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f93,f105]) ).
fof(f93,axiom,
~ p_Reset(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
fof(f103,plain,
spl0_1,
inference(avatar_split_clause,[],[f92,f100]) ).
fof(f92,axiom,
p_Wr(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.15 % Problem : HWV019-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.38 % Computer : n002.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8042.1875MB
% 0.12/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Fri May 3 21:32:53 EDT 2024
% 0.12/0.38 % CPUTime :
% 0.12/0.38 % (24437)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.40 % (24440)WARNING: value z3 for option sas not known
% 0.12/0.40 % (24439)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.40 % (24442)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)
% 0.12/0.40 % (24441)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.40 % (24444)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)
% 0.12/0.40 % (24440)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)
% 0.12/0.40 % (24443)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)
% 0.19/0.40 % (24438)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.41 TRYING [1]
% 0.19/0.41 TRYING [2]
% 0.19/0.41 % (24442)First to succeed.
% 0.19/0.42 TRYING [3]
% 0.19/0.42 % (24442)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24437"
% 0.19/0.42 % (24444)Also succeeded, but the first one will report.
% 0.19/0.42 TRYING [1]
% 0.19/0.42 % (24442)Refutation found. Thanks to Tanya!
% 0.19/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.42 % (24442)------------------------------
% 0.19/0.42 % (24442)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.42 % (24442)Termination reason: Refutation
% 0.19/0.42
% 0.19/0.42 % (24442)Memory used [KB]: 1138
% 0.19/0.42 % (24442)Time elapsed: 0.018 s
% 0.19/0.42 % (24442)Instructions burned: 29 (million)
% 0.19/0.42 % (24437)Success in time 0.036 s
%------------------------------------------------------------------------------