TSTP Solution File: HWV013-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HWV013-1 : 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 06:32:53 EDT 2024
% Result : Unsatisfiable 0.11s 0.41s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 206
% Syntax : Number of formulae : 376 ( 106 unt; 0 def)
% Number of atoms : 1367 ( 144 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 1543 ( 552 ~; 878 |; 0 &)
% ( 113 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 127 ( 125 usr; 114 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 341 ( 341 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1120,plain,
$false,
inference(avatar_sat_refutation,[],[f105,f110,f115,f120,f125,f129,f133,f137,f141,f145,f151,f155,f159,f164,f168,f172,f176,f180,f184,f190,f196,f201,f205,f209,f213,f217,f222,f226,f230,f244,f254,f258,f262,f266,f270,f274,f278,f315,f319,f336,f341,f345,f349,f353,f357,f382,f388,f392,f396,f415,f419,f423,f427,f431,f435,f439,f443,f447,f451,f455,f459,f463,f524,f533,f537,f552,f556,f560,f564,f568,f574,f601,f605,f609,f616,f620,f660,f664,f668,f673,f706,f710,f714,f718,f722,f726,f730,f736,f740,f744,f809,f868,f874,f880,f886,f894,f948,f954,f960,f966,f971,f976,f981,f995,f1001,f1009,f1015,f1025,f1031,f1042,f1106,f1119]) ).
fof(f1119,plain,
( spl0_5
| ~ spl0_3
| spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f674,f658,f117,f107,f102,f112,f122]) ).
fof(f122,plain,
( spl0_5
<=> int_level(plus(x_139,n1)) = plus(int_level(x_139),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f112,plain,
( spl0_3
<=> p_Wr(x_139) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f102,plain,
( spl0_1
<=> p_Reset(x_139) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f107,plain,
( spl0_2
<=> p_Rd(x_139) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f117,plain,
( spl0_4
<=> gt(fifo_length,int_level(x_139)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f658,plain,
( spl0_78
<=> ! [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_78])]) ).
fof(f674,plain,
( p_Rd(x_139)
| p_Reset(x_139)
| ~ p_Wr(x_139)
| int_level(plus(x_139,n1)) = plus(int_level(x_139),n1)
| ~ spl0_4
| ~ spl0_78 ),
inference(resolution,[],[f659,f119]) ).
fof(f119,plain,
( gt(fifo_length,int_level(x_139))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f659,plain,
( ! [X34] :
( ~ gt(fifo_length,int_level(X34))
| p_Rd(X34)
| p_Reset(X34)
| ~ p_Wr(X34)
| int_level(plus(X34,n1)) = plus(int_level(X34),n1) )
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f1106,plain,
( spl0_113
| spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f403,f386,f112,f107,f102,f1103]) ).
fof(f1103,plain,
( spl0_113
<=> rd_level(plus(x_139,n1)) = rd_level(x_139) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f386,plain,
( spl0_47
<=> ! [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_47])]) ).
fof(f403,plain,
( p_Rd(x_139)
| p_Reset(x_139)
| rd_level(plus(x_139,n1)) = rd_level(x_139)
| ~ spl0_3
| ~ spl0_47 ),
inference(resolution,[],[f387,f114]) ).
fof(f114,plain,
( p_Wr(x_139)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f387,plain,
( ! [X34] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| rd_level(plus(X34,n1)) = rd_level(X34) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f1042,plain,
( spl0_112
| ~ spl0_14
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f900,f802,f161,f1039]) ).
fof(f1039,plain,
( spl0_112
<=> gt(fifo_length,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f161,plain,
( spl0_14
<=> gt(n1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f802,plain,
( spl0_92
<=> n1 = fifo_length ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f900,plain,
( gt(fifo_length,n0)
| ~ spl0_14
| ~ spl0_92 ),
inference(superposition,[],[f163,f804]) ).
fof(f804,plain,
( n1 = fifo_length
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f163,plain,
( gt(n1,n0)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f1031,plain,
( spl0_111
| ~ spl0_92
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1027,f1023,f802,f1029]) ).
fof(f1029,plain,
( spl0_111
<=> ! [X34] :
( rd_level(plus(X34,fifo_length)) = plus(rd_level(X34),fifo_length)
| ~ gt(minus(fifo_length,fifo_length),rd_level(X34))
| ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f1023,plain,
( spl0_110
<=> ! [X34] :
( ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| ~ gt(minus(fifo_length,n1),rd_level(X34))
| rd_level(plus(X34,n1)) = plus(rd_level(X34),n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f1027,plain,
( ! [X34] :
( rd_level(plus(X34,fifo_length)) = plus(rd_level(X34),fifo_length)
| ~ gt(minus(fifo_length,fifo_length),rd_level(X34))
| ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0) )
| ~ spl0_92
| ~ spl0_110 ),
inference(forward_demodulation,[],[f1026,f804]) ).
fof(f1026,plain,
( ! [X34] :
( ~ gt(minus(fifo_length,fifo_length),rd_level(X34))
| ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| rd_level(plus(X34,n1)) = plus(rd_level(X34),n1) )
| ~ spl0_92
| ~ spl0_110 ),
inference(forward_demodulation,[],[f1024,f804]) ).
fof(f1024,plain,
( ! [X34] :
( ~ gt(minus(fifo_length,n1),rd_level(X34))
| p_Wr(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| ~ p_Rd(X34)
| rd_level(plus(X34,n1)) = plus(rd_level(X34),n1) )
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f1023]) ).
fof(f1025,plain,
spl0_110,
inference(avatar_split_clause,[],[f74,f1023]) ).
fof(f74,axiom,
! [X34] :
( ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| ~ gt(minus(fifo_length,n1),rd_level(X34))
| rd_level(plus(X34,n1)) = plus(rd_level(X34),n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_74) ).
fof(f1015,plain,
( spl0_109
| ~ spl0_92
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1011,f1007,f802,f1013]) ).
fof(f1013,plain,
( spl0_109
<=> ! [X34] :
( rd_level(plus(X34,fifo_length)) = plus(rd_level(X34),fifo_length)
| ~ gt(minus(fifo_length,fifo_length),rd_level(X34))
| ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f1007,plain,
( spl0_108
<=> ! [X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| ~ gt(minus(fifo_length,n1),rd_level(X34))
| rd_level(plus(X34,n1)) = plus(rd_level(X34),n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f1011,plain,
( ! [X34] :
( rd_level(plus(X34,fifo_length)) = plus(rd_level(X34),fifo_length)
| ~ gt(minus(fifo_length,fifo_length),rd_level(X34))
| ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0) )
| ~ spl0_92
| ~ spl0_108 ),
inference(forward_demodulation,[],[f1010,f804]) ).
fof(f1010,plain,
( ! [X34] :
( ~ gt(minus(fifo_length,fifo_length),rd_level(X34))
| ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| rd_level(plus(X34,n1)) = plus(rd_level(X34),n1) )
| ~ spl0_92
| ~ spl0_108 ),
inference(forward_demodulation,[],[f1008,f804]) ).
fof(f1008,plain,
( ! [X34] :
( ~ gt(minus(fifo_length,n1),rd_level(X34))
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| ~ p_Wr(X34)
| rd_level(plus(X34,n1)) = plus(rd_level(X34),n1) )
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f1007]) ).
fof(f1009,plain,
spl0_108,
inference(avatar_split_clause,[],[f56,f1007]) ).
fof(f56,axiom,
! [X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| ~ gt(minus(fifo_length,n1),rd_level(X34))
| rd_level(plus(X34,n1)) = plus(rd_level(X34),n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_56) ).
fof(f1001,plain,
( spl0_107
| ~ spl0_92
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f997,f993,f802,f999]) ).
fof(f999,plain,
( spl0_107
<=> ! [X34] :
( wr_level(plus(X34,fifo_length)) = plus(wr_level(X34),fifo_length)
| ~ gt(minus(fifo_length,fifo_length),wr_level(X34))
| ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ gt(fifo_length,int_level(X34)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f993,plain,
( spl0_106
<=> ! [X34] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ gt(fifo_length,int_level(X34))
| ~ gt(minus(fifo_length,n1),wr_level(X34))
| wr_level(plus(X34,n1)) = plus(wr_level(X34),n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f997,plain,
( ! [X34] :
( wr_level(plus(X34,fifo_length)) = plus(wr_level(X34),fifo_length)
| ~ gt(minus(fifo_length,fifo_length),wr_level(X34))
| ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ gt(fifo_length,int_level(X34)) )
| ~ spl0_92
| ~ spl0_106 ),
inference(forward_demodulation,[],[f996,f804]) ).
fof(f996,plain,
( ! [X34] :
( ~ gt(minus(fifo_length,fifo_length),wr_level(X34))
| ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ gt(fifo_length,int_level(X34))
| wr_level(plus(X34,n1)) = plus(wr_level(X34),n1) )
| ~ spl0_92
| ~ spl0_106 ),
inference(forward_demodulation,[],[f994,f804]) ).
fof(f994,plain,
( ! [X34] :
( ~ gt(minus(fifo_length,n1),wr_level(X34))
| p_Rd(X34)
| p_Reset(X34)
| ~ gt(fifo_length,int_level(X34))
| ~ p_Wr(X34)
| wr_level(plus(X34,n1)) = plus(wr_level(X34),n1) )
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f993]) ).
fof(f995,plain,
spl0_106,
inference(avatar_split_clause,[],[f40,f993]) ).
fof(f40,axiom,
! [X34] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ gt(fifo_length,int_level(X34))
| ~ gt(minus(fifo_length,n1),wr_level(X34))
| wr_level(plus(X34,n1)) = plus(wr_level(X34),n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_40) ).
fof(f981,plain,
( spl0_105
| ~ spl0_92
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f977,f974,f802,f979]) ).
fof(f979,plain,
( spl0_105
<=> ! [X34,X37,X36] :
( p_Mem(X36,X37,plus(X34,fifo_length))
| ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ gt(fifo_length,int_level(X34))
| ~ p_Mem(X36,X37,X34)
| wr_level(X34) = X36 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f974,plain,
( spl0_104
<=> ! [X34,X37,X36] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ gt(fifo_length,int_level(X34))
| ~ p_Mem(X36,X37,X34)
| wr_level(X34) = X36
| p_Mem(X36,X37,plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f977,plain,
( ! [X36,X37,X34] :
( p_Mem(X36,X37,plus(X34,fifo_length))
| ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ gt(fifo_length,int_level(X34))
| ~ p_Mem(X36,X37,X34)
| wr_level(X34) = X36 )
| ~ spl0_92
| ~ spl0_104 ),
inference(forward_demodulation,[],[f975,f804]) ).
fof(f975,plain,
( ! [X36,X37,X34] :
( p_Mem(X36,X37,plus(X34,n1))
| p_Rd(X34)
| p_Reset(X34)
| ~ gt(fifo_length,int_level(X34))
| ~ p_Mem(X36,X37,X34)
| wr_level(X34) = X36
| ~ p_Wr(X34) )
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f974]) ).
fof(f976,plain,
spl0_104,
inference(avatar_split_clause,[],[f39,f974]) ).
fof(f39,axiom,
! [X36,X37,X34] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ gt(fifo_length,int_level(X34))
| ~ p_Mem(X36,X37,X34)
| wr_level(X34) = X36
| p_Mem(X36,X37,plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_39) ).
fof(f971,plain,
( spl0_103
| ~ spl0_92
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f967,f964,f802,f969]) ).
fof(f969,plain,
( spl0_103
<=> ! [X34,X37,X36] :
( ~ p_Mem(X36,X37,plus(X34,fifo_length))
| ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ gt(fifo_length,int_level(X34))
| wr_level(X34) = X36
| p_Mem(X36,X37,X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f964,plain,
( spl0_102
<=> ! [X34,X36,X37] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ gt(fifo_length,int_level(X34))
| wr_level(X34) = X36
| p_Mem(X36,X37,X34)
| ~ p_Mem(X36,X37,plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f967,plain,
( ! [X36,X37,X34] :
( ~ p_Mem(X36,X37,plus(X34,fifo_length))
| ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ gt(fifo_length,int_level(X34))
| wr_level(X34) = X36
| p_Mem(X36,X37,X34) )
| ~ spl0_92
| ~ spl0_102 ),
inference(forward_demodulation,[],[f965,f804]) ).
fof(f965,plain,
( ! [X36,X37,X34] :
( ~ p_Mem(X36,X37,plus(X34,n1))
| p_Rd(X34)
| p_Reset(X34)
| ~ gt(fifo_length,int_level(X34))
| wr_level(X34) = X36
| p_Mem(X36,X37,X34)
| ~ p_Wr(X34) )
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f964]) ).
fof(f966,plain,
spl0_102,
inference(avatar_split_clause,[],[f38,f964]) ).
fof(f38,axiom,
! [X36,X37,X34] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ gt(fifo_length,int_level(X34))
| wr_level(X34) = X36
| p_Mem(X36,X37,X34)
| ~ p_Mem(X36,X37,plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_38) ).
fof(f960,plain,
( spl0_101
| ~ spl0_92
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f956,f952,f802,f958]) ).
fof(f958,plain,
( spl0_101
<=> ! [X34] :
( gt(minus(fifo_length,fifo_length),rd_level(X34))
| n0 = rd_level(plus(X34,fifo_length))
| ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f952,plain,
( spl0_100
<=> ! [X34] :
( ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| n0 = rd_level(plus(X34,n1))
| gt(minus(fifo_length,n1),rd_level(X34)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f956,plain,
( ! [X34] :
( gt(minus(fifo_length,fifo_length),rd_level(X34))
| n0 = rd_level(plus(X34,fifo_length))
| ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0) )
| ~ spl0_92
| ~ spl0_100 ),
inference(forward_demodulation,[],[f955,f804]) ).
fof(f955,plain,
( ! [X34] :
( n0 = rd_level(plus(X34,fifo_length))
| ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| gt(minus(fifo_length,n1),rd_level(X34)) )
| ~ spl0_92
| ~ spl0_100 ),
inference(forward_demodulation,[],[f953,f804]) ).
fof(f953,plain,
( ! [X34] :
( gt(minus(fifo_length,n1),rd_level(X34))
| p_Wr(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| n0 = rd_level(plus(X34,n1))
| ~ p_Rd(X34) )
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f952]) ).
fof(f954,plain,
spl0_100,
inference(avatar_split_clause,[],[f75,f952]) ).
fof(f75,axiom,
! [X34] :
( ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| n0 = rd_level(plus(X34,n1))
| gt(minus(fifo_length,n1),rd_level(X34)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_75) ).
fof(f948,plain,
( spl0_99
| ~ spl0_92
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f896,f892,f802,f946]) ).
fof(f946,plain,
( spl0_99
<=> ! [X34] :
( gt(minus(fifo_length,fifo_length),rd_level(X34))
| n0 = rd_level(plus(X34,fifo_length))
| ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f892,plain,
( spl0_98
<=> ! [X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| n0 = rd_level(plus(X34,n1))
| gt(minus(fifo_length,n1),rd_level(X34)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f896,plain,
( ! [X34] :
( gt(minus(fifo_length,fifo_length),rd_level(X34))
| n0 = rd_level(plus(X34,fifo_length))
| ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0) )
| ~ spl0_92
| ~ spl0_98 ),
inference(forward_demodulation,[],[f895,f804]) ).
fof(f895,plain,
( ! [X34] :
( n0 = rd_level(plus(X34,fifo_length))
| ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| gt(minus(fifo_length,n1),rd_level(X34)) )
| ~ spl0_92
| ~ spl0_98 ),
inference(forward_demodulation,[],[f893,f804]) ).
fof(f893,plain,
( ! [X34] :
( gt(minus(fifo_length,n1),rd_level(X34))
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| n0 = rd_level(plus(X34,n1))
| ~ p_Wr(X34) )
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f892]) ).
fof(f894,plain,
spl0_98,
inference(avatar_split_clause,[],[f57,f892]) ).
fof(f57,axiom,
! [X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| n0 = rd_level(plus(X34,n1))
| gt(minus(fifo_length,n1),rd_level(X34)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_57) ).
fof(f886,plain,
( spl0_97
| ~ spl0_92
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f882,f878,f802,f884]) ).
fof(f884,plain,
( spl0_97
<=> ! [X34] :
( gt(minus(fifo_length,fifo_length),wr_level(X34))
| n0 = wr_level(plus(X34,fifo_length))
| ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ gt(fifo_length,int_level(X34)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f878,plain,
( spl0_96
<=> ! [X34] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ gt(fifo_length,int_level(X34))
| n0 = wr_level(plus(X34,n1))
| gt(minus(fifo_length,n1),wr_level(X34)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f882,plain,
( ! [X34] :
( gt(minus(fifo_length,fifo_length),wr_level(X34))
| n0 = wr_level(plus(X34,fifo_length))
| ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ gt(fifo_length,int_level(X34)) )
| ~ spl0_92
| ~ spl0_96 ),
inference(forward_demodulation,[],[f881,f804]) ).
fof(f881,plain,
( ! [X34] :
( n0 = wr_level(plus(X34,fifo_length))
| ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ gt(fifo_length,int_level(X34))
| gt(minus(fifo_length,n1),wr_level(X34)) )
| ~ spl0_92
| ~ spl0_96 ),
inference(forward_demodulation,[],[f879,f804]) ).
fof(f879,plain,
( ! [X34] :
( gt(minus(fifo_length,n1),wr_level(X34))
| p_Rd(X34)
| p_Reset(X34)
| ~ gt(fifo_length,int_level(X34))
| n0 = wr_level(plus(X34,n1))
| ~ p_Wr(X34) )
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f880,plain,
spl0_96,
inference(avatar_split_clause,[],[f41,f878]) ).
fof(f41,axiom,
! [X34] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ gt(fifo_length,int_level(X34))
| n0 = wr_level(plus(X34,n1))
| gt(minus(fifo_length,n1),wr_level(X34)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_41) ).
fof(f874,plain,
( spl0_95
| ~ spl0_92
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f870,f866,f802,f872]) ).
fof(f872,plain,
( spl0_95
<=> ! [X34] :
( wr_level(plus(X34,fifo_length)) = plus(wr_level(X34),fifo_length)
| ~ gt(minus(fifo_length,fifo_length),wr_level(X34))
| ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f866,plain,
( spl0_94
<=> ! [X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ gt(minus(fifo_length,n1),wr_level(X34))
| wr_level(plus(X34,n1)) = plus(wr_level(X34),n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f870,plain,
( ! [X34] :
( wr_level(plus(X34,fifo_length)) = plus(wr_level(X34),fifo_length)
| ~ gt(minus(fifo_length,fifo_length),wr_level(X34))
| ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34) )
| ~ spl0_92
| ~ spl0_94 ),
inference(forward_demodulation,[],[f869,f804]) ).
fof(f869,plain,
( ! [X34] :
( ~ gt(minus(fifo_length,fifo_length),wr_level(X34))
| ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| wr_level(plus(X34,n1)) = plus(wr_level(X34),n1) )
| ~ spl0_92
| ~ spl0_94 ),
inference(forward_demodulation,[],[f867,f804]) ).
fof(f867,plain,
( ! [X34] :
( ~ gt(minus(fifo_length,n1),wr_level(X34))
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ p_Wr(X34)
| wr_level(plus(X34,n1)) = plus(wr_level(X34),n1) )
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f866]) ).
fof(f868,plain,
spl0_94,
inference(avatar_split_clause,[],[f67,f866]) ).
fof(f67,axiom,
! [X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ gt(minus(fifo_length,n1),wr_level(X34))
| wr_level(plus(X34,n1)) = plus(wr_level(X34),n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_67) ).
fof(f809,plain,
( spl0_92
| spl0_93
| ~ spl0_27
| spl0_81 ),
inference(avatar_split_clause,[],[f731,f670,f220,f806,f802]) ).
fof(f806,plain,
( spl0_93
<=> gt(fifo_length,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f220,plain,
( spl0_27
<=> ! [X13,X12] :
( X12 = X13
| gt(X12,X13)
| gt(X13,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f670,plain,
( spl0_81
<=> gt(n1,fifo_length) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f731,plain,
( gt(fifo_length,n1)
| n1 = fifo_length
| ~ spl0_27
| spl0_81 ),
inference(resolution,[],[f672,f221]) ).
fof(f221,plain,
( ! [X12,X13] :
( gt(X13,X12)
| gt(X12,X13)
| X12 = X13 )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f672,plain,
( ~ gt(n1,fifo_length)
| spl0_81 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f744,plain,
spl0_91,
inference(avatar_split_clause,[],[f73,f742]) ).
fof(f742,plain,
( spl0_91
<=> ! [X34,X46] :
( ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| ~ p_Mem(rd_level(X34),X46,X34)
| p_Data_out(X46,plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f73,axiom,
! [X46,X34] :
( ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| ~ p_Mem(rd_level(X34),X46,X34)
| p_Data_out(X46,plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_73) ).
fof(f740,plain,
spl0_90,
inference(avatar_split_clause,[],[f72,f738]) ).
fof(f738,plain,
( spl0_90
<=> ! [X34,X46] :
( ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| ~ p_Data_out(X46,plus(X34,n1))
| p_Mem(rd_level(X34),X46,X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f72,axiom,
! [X46,X34] :
( ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| ~ p_Data_out(X46,plus(X34,n1))
| p_Mem(rd_level(X34),X46,X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_72) ).
fof(f736,plain,
spl0_89,
inference(avatar_split_clause,[],[f66,f734]) ).
fof(f734,plain,
( spl0_89
<=> ! [X45,X34,X44] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ p_Mem(X44,X45,X34)
| wr_level(X34) = X44
| p_Mem(X44,X45,plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f66,axiom,
! [X44,X45,X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ p_Mem(X44,X45,X34)
| wr_level(X34) = X44
| p_Mem(X44,X45,plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_66) ).
fof(f730,plain,
spl0_88,
inference(avatar_split_clause,[],[f65,f728]) ).
fof(f728,plain,
( spl0_88
<=> ! [X45,X34,X44] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| wr_level(X34) = X44
| p_Mem(X44,X45,X34)
| ~ p_Mem(X44,X45,plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f65,axiom,
! [X44,X45,X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| wr_level(X34) = X44
| p_Mem(X44,X45,X34)
| ~ p_Mem(X44,X45,plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_65) ).
fof(f726,plain,
spl0_87,
inference(avatar_split_clause,[],[f55,f724]) ).
fof(f724,plain,
( spl0_87
<=> ! [X41,X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| ~ p_Mem(rd_level(X34),X41,X34)
| p_Data_out(X41,plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f55,axiom,
! [X41,X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| ~ p_Mem(rd_level(X34),X41,X34)
| p_Data_out(X41,plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_55) ).
fof(f722,plain,
spl0_86,
inference(avatar_split_clause,[],[f54,f720]) ).
fof(f720,plain,
( spl0_86
<=> ! [X41,X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| ~ p_Data_out(X41,plus(X34,n1))
| p_Mem(rd_level(X34),X41,X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f54,axiom,
! [X41,X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| ~ p_Data_out(X41,plus(X34,n1))
| p_Mem(rd_level(X34),X41,X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_54) ).
fof(f718,plain,
spl0_85,
inference(avatar_split_clause,[],[f46,f716]) ).
fof(f716,plain,
( spl0_85
<=> ! [X38,X34,X39] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ p_Mem(X38,X39,X34)
| gt(fifo_length,int_level(X34))
| p_Mem(X38,X39,plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f46,axiom,
! [X38,X39,X34] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ p_Mem(X38,X39,X34)
| gt(fifo_length,int_level(X34))
| p_Mem(X38,X39,plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_46) ).
fof(f714,plain,
spl0_84,
inference(avatar_split_clause,[],[f45,f712]) ).
fof(f712,plain,
( spl0_84
<=> ! [X38,X34,X39] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| gt(fifo_length,int_level(X34))
| p_Mem(X38,X39,X34)
| ~ p_Mem(X38,X39,plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f45,axiom,
! [X38,X39,X34] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| gt(fifo_length,int_level(X34))
| p_Mem(X38,X39,X34)
| ~ p_Mem(X38,X39,plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_45) ).
fof(f710,plain,
spl0_83,
inference(avatar_split_clause,[],[f37,f708]) ).
fof(f708,plain,
( spl0_83
<=> ! [X34,X35] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ p_Data_in(X35,X34)
| ~ gt(fifo_length,int_level(X34))
| p_Mem(wr_level(X34),X35,plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f37,axiom,
! [X34,X35] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ p_Data_in(X35,X34)
| ~ gt(fifo_length,int_level(X34))
| p_Mem(wr_level(X34),X35,plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).
fof(f706,plain,
spl0_82,
inference(avatar_split_clause,[],[f36,f704]) ).
fof(f704,plain,
( spl0_82
<=> ! [X34,X35] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| p_Data_in(X35,X34)
| ~ gt(fifo_length,int_level(X34))
| ~ p_Mem(wr_level(X34),X35,plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f36,axiom,
! [X34,X35] :
( ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| p_Data_in(X35,X34)
| ~ gt(fifo_length,int_level(X34))
| ~ p_Mem(wr_level(X34),X35,plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_36) ).
fof(f673,plain,
( ~ spl0_81
| ~ spl0_30
| spl0_63 ),
inference(avatar_split_clause,[],[f610,f517,f242,f670]) ).
fof(f242,plain,
( spl0_30
<=> ! [X0] :
( ~ gt(X0,fifo_length)
| gt(X0,int_level(x_139)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f517,plain,
( spl0_63
<=> gt(n1,int_level(x_139)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f610,plain,
( ~ gt(n1,fifo_length)
| ~ spl0_30
| spl0_63 ),
inference(resolution,[],[f518,f243]) ).
fof(f243,plain,
( ! [X0] :
( gt(X0,int_level(x_139))
| ~ gt(X0,fifo_length) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f518,plain,
( ~ gt(n1,int_level(x_139))
| spl0_63 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f668,plain,
spl0_80,
inference(avatar_split_clause,[],[f71,f666]) ).
fof(f666,plain,
( spl0_80
<=> ! [X34] :
( ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| int_level(plus(X34,n1)) = minus(int_level(X34),n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f71,axiom,
! [X34] :
( ~ p_Rd(X34)
| p_Wr(X34)
| p_Reset(X34)
| ~ gt(int_level(X34),n0)
| int_level(plus(X34,n1)) = minus(int_level(X34),n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_71) ).
fof(f664,plain,
spl0_79,
inference(avatar_split_clause,[],[f59,f662]) ).
fof(f662,plain,
( spl0_79
<=> ! [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_79])]) ).
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(f660,plain,
spl0_78,
inference(avatar_split_clause,[],[f35,f658]) ).
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(f620,plain,
spl0_77,
inference(avatar_split_clause,[],[f80,f618]) ).
fof(f618,plain,
( spl0_77
<=> ! [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_77])]) ).
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(f616,plain,
spl0_76,
inference(avatar_split_clause,[],[f79,f614]) ).
fof(f614,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(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(f609,plain,
spl0_75,
inference(avatar_split_clause,[],[f68,f607]) ).
fof(f607,plain,
( spl0_75
<=> ! [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_75])]) ).
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(f605,plain,
spl0_74,
inference(avatar_split_clause,[],[f62,f603]) ).
fof(f603,plain,
( spl0_74
<=> ! [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_74])]) ).
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(f601,plain,
spl0_73,
inference(avatar_split_clause,[],[f61,f599]) ).
fof(f599,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(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(f574,plain,
spl0_72,
inference(avatar_split_clause,[],[f78,f572]) ).
fof(f572,plain,
( spl0_72
<=> ! [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_72])]) ).
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(f568,plain,
spl0_71,
inference(avatar_split_clause,[],[f77,f566]) ).
fof(f566,plain,
( spl0_71
<=> ! [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_71])]) ).
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(f564,plain,
spl0_70,
inference(avatar_split_clause,[],[f60,f562]) ).
fof(f562,plain,
( spl0_70
<=> ! [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_70])]) ).
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(f560,plain,
spl0_69,
inference(avatar_split_clause,[],[f53,f558]) ).
fof(f558,plain,
( spl0_69
<=> ! [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_69])]) ).
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(f556,plain,
spl0_68,
inference(avatar_split_clause,[],[f44,f554]) ).
fof(f554,plain,
( spl0_68
<=> ! [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_68])]) ).
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(f552,plain,
spl0_67,
inference(avatar_split_clause,[],[f43,f550]) ).
fof(f550,plain,
( spl0_67
<=> ! [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_67])]) ).
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(f537,plain,
spl0_66,
inference(avatar_split_clause,[],[f64,f535]) ).
fof(f535,plain,
( spl0_66
<=> ! [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_66])]) ).
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(f533,plain,
spl0_65,
inference(avatar_split_clause,[],[f63,f531]) ).
fof(f531,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(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(f524,plain,
( spl0_63
| ~ spl0_64
| ~ spl0_14
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f474,f425,f161,f521,f517]) ).
fof(f521,plain,
( spl0_64
<=> gt(n0,fifo_length) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f425,plain,
( spl0_53
<=> ! [X0,X1] :
( ~ gt(X0,fifo_length)
| ~ gt(X1,X0)
| gt(X1,int_level(x_139)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f474,plain,
( ~ gt(n0,fifo_length)
| gt(n1,int_level(x_139))
| ~ spl0_14
| ~ spl0_53 ),
inference(resolution,[],[f426,f163]) ).
fof(f426,plain,
( ! [X0,X1] :
( ~ gt(X1,X0)
| ~ gt(X0,fifo_length)
| gt(X1,int_level(x_139)) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f463,plain,
spl0_62,
inference(avatar_split_clause,[],[f88,f461]) ).
fof(f461,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(f459,plain,
spl0_61,
inference(avatar_split_clause,[],[f87,f457]) ).
fof(f457,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(f455,plain,
spl0_60,
inference(avatar_split_clause,[],[f84,f453]) ).
fof(f453,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(f451,plain,
spl0_59,
inference(avatar_split_clause,[],[f83,f449]) ).
fof(f449,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(f447,plain,
spl0_58,
inference(avatar_split_clause,[],[f76,f445]) ).
fof(f445,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(f443,plain,
spl0_57,
inference(avatar_split_clause,[],[f70,f441]) ).
fof(f441,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(f439,plain,
spl0_56,
inference(avatar_split_clause,[],[f58,f437]) ).
fof(f437,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(f435,plain,
spl0_55,
inference(avatar_split_clause,[],[f52,f433]) ).
fof(f433,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(f431,plain,
spl0_54,
inference(avatar_split_clause,[],[f48,f429]) ).
fof(f429,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(f427,plain,
( spl0_53
| ~ spl0_28
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f293,f242,f224,f425]) ).
fof(f224,plain,
( spl0_28
<=> ! [X16,X14,X15] :
( ~ gt(X15,X16)
| ~ gt(X14,X15)
| gt(X14,X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f293,plain,
( ! [X0,X1] :
( ~ gt(X0,fifo_length)
| ~ gt(X1,X0)
| gt(X1,int_level(x_139)) )
| ~ spl0_28
| ~ spl0_30 ),
inference(resolution,[],[f243,f225]) ).
fof(f225,plain,
( ! [X16,X14,X15] :
( ~ gt(X15,X16)
| ~ gt(X14,X15)
| gt(X14,X16) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f423,plain,
spl0_52,
inference(avatar_split_clause,[],[f47,f421]) ).
fof(f421,plain,
( spl0_52
<=> ! [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_52])]) ).
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(f419,plain,
spl0_51,
inference(avatar_split_clause,[],[f42,f417]) ).
fof(f417,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(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(f415,plain,
spl0_50,
inference(avatar_split_clause,[],[f34,f413]) ).
fof(f413,plain,
( spl0_50
<=> ! [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_50])]) ).
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(f396,plain,
spl0_49,
inference(avatar_split_clause,[],[f82,f394]) ).
fof(f394,plain,
( spl0_49
<=> ! [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_49])]) ).
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(f392,plain,
spl0_48,
inference(avatar_split_clause,[],[f81,f390]) ).
fof(f390,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(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(f388,plain,
spl0_47,
inference(avatar_split_clause,[],[f33,f386]) ).
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(f382,plain,
spl0_46,
inference(avatar_split_clause,[],[f14,f380]) ).
fof(f380,plain,
( spl0_46
<=> ! [X18,X17] :
( ~ gt(X17,X18)
| plus(X18,n1) = X17
| gt(X17,plus(X18,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
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(f357,plain,
spl0_45,
inference(avatar_split_clause,[],[f100,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(f100,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(f345,plain,
spl0_42,
inference(avatar_split_clause,[],[f50,f343]) ).
fof(f343,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(f341,plain,
( ~ spl0_41
| ~ spl0_6
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f292,f242,f127,f338]) ).
fof(f338,plain,
( spl0_41
<=> gt(int_level(x_139),fifo_length) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f127,plain,
( spl0_6
<=> ! [X21] : ~ gt(X21,X21) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f292,plain,
( ~ gt(int_level(x_139),fifo_length)
| ~ spl0_6
| ~ spl0_30 ),
inference(resolution,[],[f243,f128]) ).
fof(f128,plain,
( ! [X21] : ~ gt(X21,X21)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f336,plain,
spl0_40,
inference(avatar_split_clause,[],[f49,f334]) ).
fof(f334,plain,
( spl0_40
<=> ! [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_40])]) ).
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(f319,plain,
spl0_39,
inference(avatar_split_clause,[],[f69,f317]) ).
fof(f317,plain,
( spl0_39
<=> ! [X34] :
( p_Wr(X34)
| p_Reset(X34)
| wr_level(X34) = wr_level(plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
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(f315,plain,
spl0_38,
inference(avatar_split_clause,[],[f11,f313]) ).
fof(f313,plain,
( spl0_38
<=> ! [X11,X10] :
( X10 = X11
| gt(X10,X11)
| ~ gt(plus(X10,n1),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
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(f278,plain,
spl0_37,
inference(avatar_split_clause,[],[f99,f276]) ).
fof(f276,plain,
( spl0_37
<=> ! [X4,X3] :
( def_10(X4,X3)
| plus(minus(X3,X4),X4) = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f99,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(f274,plain,
spl0_36,
inference(avatar_split_clause,[],[f90,f272]) ).
fof(f272,plain,
( spl0_36
<=> ! [X34] :
( ~ p_Wr_error(X34)
| p_Wr(X34)
| p_Reset(X34)
| p_Wr_error(plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
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(f270,plain,
spl0_35,
inference(avatar_split_clause,[],[f89,f268]) ).
fof(f268,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(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(f266,plain,
spl0_34,
inference(avatar_split_clause,[],[f51,f264]) ).
fof(f264,plain,
( spl0_34
<=> ! [X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ p_Wr_error(plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
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(f262,plain,
spl0_33,
inference(avatar_split_clause,[],[f18,f260]) ).
fof(f260,plain,
( spl0_33
<=> ! [X22,X23] :
( X22 = X23
| plus(X22,n1) != plus(X23,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f18,axiom,
! [X22,X23] :
( X22 = X23
| plus(X22,n1) != plus(X23,n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
fof(f258,plain,
spl0_32,
inference(avatar_split_clause,[],[f9,f256]) ).
fof(f256,plain,
( spl0_32
<=> ! [X6,X7] :
( gt(X6,X7)
| ~ gt(plus(X6,n1),plus(X7,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
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(f254,plain,
spl0_31,
inference(avatar_split_clause,[],[f8,f252]) ).
fof(f252,plain,
( spl0_31
<=> ! [X6,X7] :
( ~ gt(X6,X7)
| gt(plus(X6,n1),plus(X7,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
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(f244,plain,
( spl0_30
| ~ spl0_4
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f240,f224,f117,f242]) ).
fof(f240,plain,
( ! [X0] :
( ~ gt(X0,fifo_length)
| gt(X0,int_level(x_139)) )
| ~ spl0_4
| ~ spl0_28 ),
inference(resolution,[],[f225,f119]) ).
fof(f230,plain,
spl0_29,
inference(avatar_split_clause,[],[f16,f228]) ).
fof(f228,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(f226,plain,
spl0_28,
inference(avatar_split_clause,[],[f13,f224]) ).
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(f222,plain,
spl0_27,
inference(avatar_split_clause,[],[f12,f220]) ).
fof(f12,axiom,
! [X12,X13] :
( X12 = X13
| gt(X12,X13)
| gt(X13,X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f217,plain,
spl0_26,
inference(avatar_split_clause,[],[f31,f215]) ).
fof(f215,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(f213,plain,
spl0_25,
inference(avatar_split_clause,[],[f28,f211]) ).
fof(f211,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(f209,plain,
spl0_24,
inference(avatar_split_clause,[],[f27,f207]) ).
fof(f207,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(f205,plain,
spl0_23,
inference(avatar_split_clause,[],[f26,f203]) ).
fof(f203,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(f201,plain,
spl0_22,
inference(avatar_split_clause,[],[f3,f199]) ).
fof(f199,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(f196,plain,
spl0_21,
inference(avatar_split_clause,[],[f32,f194]) ).
fof(f194,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(f190,plain,
( ~ spl0_20
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f147,f143,f135,f187]) ).
fof(f187,plain,
( spl0_20
<=> n1 = n0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f135,plain,
( spl0_8
<=> ! [X0] : plus(X0,n1) != n0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f143,plain,
( spl0_10
<=> ! [X24] : plus(n0,X24) = X24 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f147,plain,
( n1 != n0
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f136,f144]) ).
fof(f144,plain,
( ! [X24] : plus(n0,X24) = X24
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f136,plain,
( ! [X0] : plus(X0,n1) != n0
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f184,plain,
spl0_19,
inference(avatar_split_clause,[],[f30,f182]) ).
fof(f182,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(f180,plain,
spl0_18,
inference(avatar_split_clause,[],[f29,f178]) ).
fof(f178,plain,
( spl0_18
<=> ! [X30] :
( ~ p_Reset(X30)
| ~ p_Wr_error(plus(X30,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f29,axiom,
! [X30] :
( ~ p_Reset(X30)
| ~ p_Wr_error(plus(X30,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).
fof(f176,plain,
spl0_17,
inference(avatar_split_clause,[],[f25,f174]) ).
fof(f174,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(f172,plain,
spl0_16,
inference(avatar_split_clause,[],[f24,f170]) ).
fof(f170,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(f168,plain,
spl0_15,
inference(avatar_split_clause,[],[f23,f166]) ).
fof(f166,plain,
( spl0_15
<=> ! [X27] :
( ~ p_Full(X27)
| fifo_length = int_level(X27) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f23,axiom,
! [X27] :
( ~ p_Full(X27)
| fifo_length = int_level(X27) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).
fof(f164,plain,
( spl0_14
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f146,f143,f139,f161]) ).
fof(f139,plain,
( spl0_9
<=> ! [X1] : gt(plus(X1,n1),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f146,plain,
( gt(n1,n0)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f140,f144]) ).
fof(f140,plain,
( ! [X1] : gt(plus(X1,n1),n0)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f159,plain,
spl0_13,
inference(avatar_split_clause,[],[f22,f157]) ).
fof(f157,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(f155,plain,
spl0_12,
inference(avatar_split_clause,[],[f15,f153]) ).
fof(f153,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(f151,plain,
spl0_11,
inference(avatar_split_clause,[],[f6,f149]) ).
fof(f149,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(f145,plain,
spl0_10,
inference(avatar_split_clause,[],[f19,f143]) ).
fof(f19,axiom,
! [X24] : plus(n0,X24) = X24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(f141,plain,
spl0_9,
inference(avatar_split_clause,[],[f2,f139]) ).
fof(f2,axiom,
! [X1] : gt(plus(X1,n1),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f137,plain,
spl0_8,
inference(avatar_split_clause,[],[f1,f135]) ).
fof(f1,axiom,
! [X0] : plus(X0,n1) != n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f133,plain,
spl0_7,
inference(avatar_split_clause,[],[f98,f131]) ).
fof(f131,plain,
( spl0_7
<=> ! [X4] : ~ def_10(X4,X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f98,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(f129,plain,
spl0_6,
inference(avatar_split_clause,[],[f17,f127]) ).
fof(f17,axiom,
! [X21] : ~ gt(X21,X21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(f125,plain,
~ spl0_5,
inference(avatar_split_clause,[],[f97,f122]) ).
fof(f97,plain,
int_level(plus(x_139,n1)) != plus(int_level(x_139),n1),
inference(definition_unfolding,[],[f95,f21,f21]) ).
fof(f21,axiom,
! [X25] : level(X25) = int_level(X25),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
fof(f95,axiom,
level(plus(x_139,n1)) != plus(level(x_139),n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).
fof(f120,plain,
spl0_4,
inference(avatar_split_clause,[],[f96,f117]) ).
fof(f96,plain,
gt(fifo_length,int_level(x_139)),
inference(definition_unfolding,[],[f92,f21]) ).
fof(f92,axiom,
gt(fifo_length,level(x_139)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
fof(f115,plain,
spl0_3,
inference(avatar_split_clause,[],[f94,f112]) ).
fof(f94,axiom,
p_Wr(x_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
fof(f110,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f93,f107]) ).
fof(f93,axiom,
~ p_Rd(x_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
fof(f105,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f91,f102]) ).
fof(f91,axiom,
~ p_Reset(x_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.14 % Problem : HWV013-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.35 % Computer : n002.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8042.1875MB
% 0.11/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Fri May 3 21:40:07 EDT 2024
% 0.11/0.35 % CPUTime :
% 0.11/0.36 % (9599)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.37 % (9601)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.38 % (9602)WARNING: value z3 for option sas not known
% 0.11/0.38 % (9600)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.38 % (9605)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)
% 0.11/0.38 % (9602)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)
% 0.11/0.38 % (9606)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)
% 0.11/0.38 % (9604)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)
% 0.11/0.38 % (9603)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.39 TRYING [1]
% 0.11/0.39 TRYING [2]
% 0.11/0.39 TRYING [3]
% 0.11/0.40 TRYING [1]
% 0.11/0.40 TRYING [2]
% 0.11/0.40 TRYING [4]
% 0.11/0.41 % (9604)First to succeed.
% 0.11/0.41 TRYING [3]
% 0.11/0.41 TRYING [1]
% 0.11/0.41 % (9604)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9599"
% 0.11/0.41 % (9604)Refutation found. Thanks to Tanya!
% 0.11/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.42 % (9604)------------------------------
% 0.11/0.42 % (9604)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.42 % (9604)Termination reason: Refutation
% 0.11/0.42
% 0.11/0.42 % (9604)Memory used [KB]: 1418
% 0.11/0.42 % (9604)Time elapsed: 0.035 s
% 0.11/0.42 % (9604)Instructions burned: 57 (million)
% 0.11/0.42 % (9599)Success in time 0.053 s
%------------------------------------------------------------------------------