TSTP Solution File: RNG072+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG072+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 14:51:21 EDT 2024
% Result : Theorem 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 189
% Syntax : Number of formulae : 567 ( 152 unt; 0 def)
% Number of atoms : 1588 ( 312 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 1730 ( 709 ~; 703 |; 139 &)
% ( 131 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 136 ( 134 usr; 127 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 18 con; 0-2 aty)
% Number of variables : 442 ( 434 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1322,plain,
$false,
inference(avatar_sat_refutation,[],[f244,f249,f254,f259,f264,f269,f274,f279,f284,f289,f294,f299,f304,f309,f314,f319,f324,f329,f334,f339,f344,f349,f353,f371,f376,f381,f386,f391,f396,f401,f406,f411,f416,f421,f426,f431,f436,f441,f447,f451,f455,f460,f464,f468,f472,f479,f484,f489,f493,f497,f505,f510,f518,f523,f528,f533,f537,f541,f545,f549,f554,f558,f562,f566,f575,f579,f583,f587,f591,f595,f599,f603,f613,f631,f635,f642,f646,f651,f665,f669,f676,f680,f684,f688,f693,f697,f704,f719,f720,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f767,f794,f886,f891,f896,f902,f906,f910,f914,f954,f958,f962,f1001,f1005,f1050,f1054,f1070,f1078,f1083,f1116,f1124,f1145,f1221,f1236,f1245,f1253,f1263,f1272,f1277,f1278,f1296,f1303,f1310,f1316,f1320,f1321]) ).
fof(f1321,plain,
( ~ spl5_15
| ~ spl5_14
| ~ spl5_72
| spl5_114 ),
inference(avatar_split_clause,[],[f1246,f1238,f597,f306,f311]) ).
fof(f311,plain,
( spl5_15
<=> aScalar0(xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_15])]) ).
fof(f306,plain,
( spl5_14
<=> aScalar0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_14])]) ).
fof(f597,plain,
( spl5_72
<=> ! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_72])]) ).
fof(f1238,plain,
( spl5_114
<=> aScalar0(sdtpldt0(xR,xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_114])]) ).
fof(f1246,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xR)
| ~ spl5_72
| spl5_114 ),
inference(resolution,[],[f1240,f598]) ).
fof(f598,plain,
( ! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_72 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f1240,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| spl5_114 ),
inference(avatar_component_clause,[],[f1238]) ).
fof(f1320,plain,
( spl5_126
| ~ spl5_43
| ~ spl5_53 ),
inference(avatar_split_clause,[],[f511,f508,f462,f1318]) ).
fof(f1318,plain,
( spl5_126
<=> ! [X0] :
( ~ sP1(X0)
| aVector0(sziznziztdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_126])]) ).
fof(f462,plain,
( spl5_43
<=> ! [X0,X1] :
( aVector0(X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_43])]) ).
fof(f508,plain,
( spl5_53
<=> ! [X0] :
( sP0(X0,sziznziztdt0(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_53])]) ).
fof(f511,plain,
( ! [X0] :
( ~ sP1(X0)
| aVector0(sziznziztdt0(X0)) )
| ~ spl5_43
| ~ spl5_53 ),
inference(resolution,[],[f509,f463]) ).
fof(f463,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| aVector0(X1) )
| ~ spl5_43 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f509,plain,
( ! [X0] :
( sP0(X0,sziznziztdt0(X0))
| ~ sP1(X0) )
| ~ spl5_53 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f1316,plain,
( spl5_125
| ~ spl5_23
| ~ spl5_44 ),
inference(avatar_split_clause,[],[f474,f466,f351,f1314]) ).
fof(f1314,plain,
( spl5_125
<=> ! [X0] :
( ~ aScalar0(X0)
| sP2(smndt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_125])]) ).
fof(f351,plain,
( spl5_23
<=> ! [X0] :
( sP2(X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_23])]) ).
fof(f466,plain,
( spl5_44
<=> ! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_44])]) ).
fof(f474,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sP2(smndt0(X0)) )
| ~ spl5_23
| ~ spl5_44 ),
inference(resolution,[],[f467,f352]) ).
fof(f352,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sP2(X0) )
| ~ spl5_23 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f467,plain,
( ! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl5_44 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f1310,plain,
( ~ spl5_12
| spl5_124
| ~ spl5_27
| ~ spl5_59 ),
inference(avatar_split_clause,[],[f570,f539,f383,f1307,f296]) ).
fof(f296,plain,
( spl5_12
<=> aScalar0(xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_12])]) ).
fof(f1307,plain,
( spl5_124
<=> sdtlseqdt0(sz0z00,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_124])]) ).
fof(f383,plain,
( spl5_27
<=> xG = sdtasdt0(xB,xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_27])]) ).
fof(f539,plain,
( spl5_59
<=> ! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_59])]) ).
fof(f570,plain,
( sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(xB)
| ~ spl5_27
| ~ spl5_59 ),
inference(superposition,[],[f540,f385]) ).
fof(f385,plain,
( xG = sdtasdt0(xB,xB)
| ~ spl5_27 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f540,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) )
| ~ spl5_59 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f1303,plain,
( ~ spl5_13
| spl5_123
| ~ spl5_26
| ~ spl5_59 ),
inference(avatar_split_clause,[],[f569,f539,f378,f1300,f301]) ).
fof(f301,plain,
( spl5_13
<=> aScalar0(xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).
fof(f1300,plain,
( spl5_123
<=> sdtlseqdt0(sz0z00,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_123])]) ).
fof(f378,plain,
( spl5_26
<=> xF = sdtasdt0(xA,xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_26])]) ).
fof(f569,plain,
( sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xA)
| ~ spl5_26
| ~ spl5_59 ),
inference(superposition,[],[f540,f380]) ).
fof(f380,plain,
( xF = sdtasdt0(xA,xA)
| ~ spl5_26 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f1296,plain,
( ~ spl5_2
| spl5_122
| ~ spl5_31
| ~ spl5_58 ),
inference(avatar_split_clause,[],[f568,f535,f403,f1293,f246]) ).
fof(f246,plain,
( spl5_2
<=> aVector0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f1293,plain,
( spl5_122
<=> sdtlseqdt0(sz0z00,xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_122])]) ).
fof(f403,plain,
( spl5_31
<=> xC = sdtasasdt0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_31])]) ).
fof(f535,plain,
( spl5_58
<=> ! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_58])]) ).
fof(f568,plain,
( sdtlseqdt0(sz0z00,xC)
| ~ aVector0(xp)
| ~ spl5_31
| ~ spl5_58 ),
inference(superposition,[],[f536,f405]) ).
fof(f405,plain,
( xC = sdtasasdt0(xp,xp)
| ~ spl5_31 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f536,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) )
| ~ spl5_58 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f1278,plain,
( ~ spl5_16
| ~ spl5_72
| spl5_115 ),
inference(avatar_split_clause,[],[f1248,f1242,f597,f316]) ).
fof(f316,plain,
( spl5_16
<=> aScalar0(xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_16])]) ).
fof(f1242,plain,
( spl5_115
<=> aScalar0(sdtpldt0(xP,xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_115])]) ).
fof(f1248,plain,
( ~ aScalar0(xP)
| ~ spl5_72
| spl5_115 ),
inference(duplicate_literal_removal,[],[f1247]) ).
fof(f1247,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| ~ spl5_72
| spl5_115 ),
inference(resolution,[],[f1244,f598]) ).
fof(f1244,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| spl5_115 ),
inference(avatar_component_clause,[],[f1242]) ).
fof(f1277,plain,
( ~ spl5_1
| spl5_121
| ~ spl5_30
| ~ spl5_58 ),
inference(avatar_split_clause,[],[f567,f535,f398,f1274,f241]) ).
fof(f241,plain,
( spl5_1
<=> aVector0(xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f1274,plain,
( spl5_121
<=> sdtlseqdt0(sz0z00,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_121])]) ).
fof(f398,plain,
( spl5_30
<=> xD = sdtasasdt0(xq,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_30])]) ).
fof(f567,plain,
( sdtlseqdt0(sz0z00,xD)
| ~ aVector0(xq)
| ~ spl5_30
| ~ spl5_58 ),
inference(superposition,[],[f536,f400]) ).
fof(f400,plain,
( xD = sdtasasdt0(xq,xq)
| ~ spl5_30 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f1272,plain,
( ~ spl5_119
| spl5_120
| ~ spl5_22
| ~ spl5_53 ),
inference(avatar_split_clause,[],[f513,f508,f346,f1269,f1265]) ).
fof(f1265,plain,
( spl5_119
<=> sP1(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_119])]) ).
fof(f1269,plain,
( spl5_120
<=> sP0(xs,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_120])]) ).
fof(f346,plain,
( spl5_22
<=> xp = sziznziztdt0(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_22])]) ).
fof(f513,plain,
( sP0(xs,xp)
| ~ sP1(xs)
| ~ spl5_22
| ~ spl5_53 ),
inference(superposition,[],[f509,f348]) ).
fof(f348,plain,
( xp = sziznziztdt0(xs)
| ~ spl5_22 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f1263,plain,
( ~ spl5_117
| spl5_118
| ~ spl5_21
| ~ spl5_53 ),
inference(avatar_split_clause,[],[f512,f508,f341,f1260,f1256]) ).
fof(f1256,plain,
( spl5_117
<=> sP1(xt) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_117])]) ).
fof(f1260,plain,
( spl5_118
<=> sP0(xt,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_118])]) ).
fof(f341,plain,
( spl5_21
<=> xq = sziznziztdt0(xt) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_21])]) ).
fof(f512,plain,
( sP0(xt,xq)
| ~ sP1(xt)
| ~ spl5_21
| ~ spl5_53 ),
inference(superposition,[],[f509,f343]) ).
fof(f343,plain,
( xq = sziznziztdt0(xt)
| ~ spl5_21 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f1253,plain,
( ~ spl5_3
| spl5_116
| ~ spl5_24
| ~ spl5_41 ),
inference(avatar_split_clause,[],[f473,f453,f368,f1250,f251]) ).
fof(f251,plain,
( spl5_3
<=> aVector0(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f1250,plain,
( spl5_116
<=> aNaturalNumber0(aDimensionOf0(xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_116])]) ).
fof(f368,plain,
( spl5_24
<=> aDimensionOf0(xs) = aDimensionOf0(xt) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_24])]) ).
fof(f453,plain,
( spl5_41
<=> ! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_41])]) ).
fof(f473,plain,
( aNaturalNumber0(aDimensionOf0(xt))
| ~ aVector0(xs)
| ~ spl5_24
| ~ spl5_41 ),
inference(superposition,[],[f454,f370]) ).
fof(f370,plain,
( aDimensionOf0(xs) = aDimensionOf0(xt)
| ~ spl5_24 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f454,plain,
( ! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) )
| ~ spl5_41 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f1245,plain,
( ~ spl5_114
| ~ spl5_115
| ~ spl5_37
| ~ spl5_56
| spl5_19
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1112,f1081,f331,f525,f433,f1242,f1238]) ).
fof(f433,plain,
( spl5_37
<=> sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_37])]) ).
fof(f525,plain,
( spl5_56
<=> sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_56])]) ).
fof(f331,plain,
( spl5_19
<=> sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_19])]) ).
fof(f1081,plain,
( spl5_108
<=> ! [X0,X3,X2,X1] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_108])]) ).
fof(f1112,plain,
( ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| spl5_19
| ~ spl5_108 ),
inference(duplicate_literal_removal,[],[f1091]) ).
fof(f1091,plain,
( ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| spl5_19
| ~ spl5_108 ),
inference(resolution,[],[f1082,f333]) ).
fof(f333,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))
| spl5_19 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f1082,plain,
( ! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_108 ),
inference(avatar_component_clause,[],[f1081]) ).
fof(f1236,plain,
( ~ spl5_113
| spl5_20
| ~ spl5_24 ),
inference(avatar_split_clause,[],[f442,f368,f336,f1233]) ).
fof(f1233,plain,
( spl5_113
<=> sz00 = aDimensionOf0(xt) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_113])]) ).
fof(f336,plain,
( spl5_20
<=> sz00 = aDimensionOf0(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_20])]) ).
fof(f442,plain,
( sz00 != aDimensionOf0(xt)
| spl5_20
| ~ spl5_24 ),
inference(superposition,[],[f338,f370]) ).
fof(f338,plain,
( sz00 != aDimensionOf0(xs)
| spl5_20 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f1221,plain,
( spl5_112
| ~ spl5_18
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f354,f351,f326,f1218]) ).
fof(f1218,plain,
( spl5_112
<=> sP2(sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_112])]) ).
fof(f326,plain,
( spl5_18
<=> aScalar0(sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_18])]) ).
fof(f354,plain,
( sP2(sz0z00)
| ~ spl5_18
| ~ spl5_23 ),
inference(resolution,[],[f352,f328]) ).
fof(f328,plain,
( aScalar0(sz0z00)
| ~ spl5_18 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f1145,plain,
spl5_111,
inference(avatar_split_clause,[],[f214,f1143]) ).
fof(f1143,plain,
( spl5_111
<=> ! [X0,X1] :
( sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_111])]) ).
fof(f214,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( sz00 != aDimensionOf0(X1)
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSPN) ).
fof(f1124,plain,
spl5_110,
inference(avatar_split_clause,[],[f233,f1122]) ).
fof(f1122,plain,
( spl5_110
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_110])]) ).
fof(f233,plain,
! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2,X3] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2,X3] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistr2) ).
fof(f1116,plain,
spl5_109,
inference(avatar_split_clause,[],[f238,f1114]) ).
fof(f1114,plain,
( spl5_109
<=> ! [X0,X1] :
( ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xt))
| sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_109])]) ).
fof(f238,plain,
! [X0,X1] :
( ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xt))
| sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(forward_demodulation,[],[f180,f141]) ).
fof(f141,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678_01) ).
fof(f180,plain,
! [X0,X1] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> ( iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1652) ).
fof(f1083,plain,
spl5_108,
inference(avatar_split_clause,[],[f235,f1081]) ).
fof(f235,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(sz0z00,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMonM) ).
fof(f1078,plain,
spl5_107,
inference(avatar_split_clause,[],[f194,f1076]) ).
fof(f1076,plain,
( spl5_107
<=> ! [X0,X1] :
( sP0(X0,X1)
| sdtlbdtrb0(X1,sK3(X0,X1)) != sdtlbdtrb0(X0,sK3(X0,X1))
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_107])]) ).
fof(f194,plain,
! [X0,X1] :
( sP0(X0,X1)
| sdtlbdtrb0(X1,sK3(X0,X1)) != sdtlbdtrb0(X0,sK3(X0,X1))
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( sdtlbdtrb0(X1,sK3(X0,X1)) != sdtlbdtrb0(X0,sK3(X0,X1))
& aNaturalNumber0(sK3(X0,X1)) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) )
& ( ( ! [X3] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
| ~ aNaturalNumber0(X3) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f133,f134]) ).
fof(f134,plain,
! [X0,X1] :
( ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) )
=> ( sdtlbdtrb0(X1,sK3(X0,X1)) != sdtlbdtrb0(X0,sK3(X0,X1))
& aNaturalNumber0(sK3(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) )
& ( ( ! [X3] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
| ~ aNaturalNumber0(X3) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) )
& ( ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) )
| ~ sP0(X0,X1) ) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) )
& ( ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1070,plain,
spl5_106,
inference(avatar_split_clause,[],[f234,f1068]) ).
fof(f1068,plain,
( spl5_106
<=> ! [X0,X3,X2,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_106])]) ).
fof(f234,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMon) ).
fof(f1054,plain,
spl5_105,
inference(avatar_split_clause,[],[f223,f1052]) ).
fof(f1052,plain,
( spl5_105
<=> ! [X0,X1] :
( X0 = X1
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_105])]) ).
fof(f223,plain,
! [X0,X1] :
( X0 = X1
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( X0 = X1
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( X0 = X1
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtasdt0(X0,X0) = sdtasdt0(X1,X1)
& sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqrt) ).
fof(f1050,plain,
spl5_104,
inference(avatar_split_clause,[],[f213,f1048]) ).
fof(f1048,plain,
( spl5_104
<=> ! [X0,X1] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_104])]) ).
fof(f213,plain,
! [X0,X1] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( sz00 != aDimensionOf0(X1)
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEqInit) ).
fof(f1005,plain,
spl5_103,
inference(avatar_split_clause,[],[f231,f1003]) ).
fof(f1003,plain,
( spl5_103
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_103])]) ).
fof(f231,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistr) ).
fof(f1001,plain,
spl5_102,
inference(avatar_split_clause,[],[f230,f999]) ).
fof(f999,plain,
( spl5_102
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_102])]) ).
fof(f230,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f962,plain,
spl5_101,
inference(avatar_split_clause,[],[f239,f960]) ).
fof(f960,plain,
( spl5_101
<=> ! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| sz00 != aDimensionOf0(X0)
| ~ aVector0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_101])]) ).
fof(f239,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| sz00 != aDimensionOf0(X0)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(inner_rewriting,[],[f215]) ).
fof(f215,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( sz00 = aDimensionOf0(X1)
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> sz0z00 = sdtasasdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSPZ) ).
fof(f958,plain,
spl5_100,
inference(avatar_split_clause,[],[f228,f956]) ).
fof(f956,plain,
( spl5_100
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_100])]) ).
fof(f228,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mArith) ).
fof(f954,plain,
spl5_99,
inference(avatar_split_clause,[],[f226,f952]) ).
fof(f952,plain,
( spl5_99
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_99])]) ).
fof(f226,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f914,plain,
spl5_98,
inference(avatar_split_clause,[],[f232,f912]) ).
fof(f912,plain,
( spl5_98
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_98])]) ).
fof(f232,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETrn) ).
fof(f910,plain,
spl5_97,
inference(avatar_split_clause,[],[f225,f908]) ).
fof(f908,plain,
( spl5_97
<=> ! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_97])]) ).
fof(f225,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X0) )
=> ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPosMon) ).
fof(f906,plain,
spl5_96,
inference(avatar_split_clause,[],[f224,f904]) ).
fof(f904,plain,
( spl5_96
<=> ! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_96])]) ).
fof(f224,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f902,plain,
spl5_95,
inference(avatar_split_clause,[],[f193,f900]) ).
fof(f900,plain,
( spl5_95
<=> ! [X0,X1] :
( sP0(X0,X1)
| aNaturalNumber0(sK3(X0,X1))
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_95])]) ).
fof(f193,plain,
! [X0,X1] :
( sP0(X0,X1)
| aNaturalNumber0(sK3(X0,X1))
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f896,plain,
spl5_94,
inference(avatar_split_clause,[],[f147,f893]) ).
fof(f893,plain,
( spl5_94
<=> sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_94])]) ).
fof(f147,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
inference(cnf_transformation,[],[f59]) ).
fof(f59,axiom,
sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2405) ).
fof(f891,plain,
( spl5_93
| ~ spl5_8
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f366,f351,f276,f888]) ).
fof(f888,plain,
( spl5_93
<=> sP2(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_93])]) ).
fof(f276,plain,
( spl5_8
<=> aScalar0(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
fof(f366,plain,
( sP2(xN)
| ~ spl5_8
| ~ spl5_23 ),
inference(resolution,[],[f352,f278]) ).
fof(f278,plain,
( aScalar0(xN)
| ~ spl5_8 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f886,plain,
spl5_92,
inference(avatar_split_clause,[],[f146,f883]) ).
fof(f883,plain,
( spl5_92
<=> sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_92])]) ).
fof(f146,plain,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(cnf_transformation,[],[f58]) ).
fof(f58,axiom,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2104) ).
fof(f794,plain,
( spl5_88
| spl5_91 ),
inference(avatar_split_clause,[],[f229,f792,f699]) ).
fof(f699,plain,
( spl5_88
<=> ! [X2] : ~ aScalar0(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_88])]) ).
fof(f792,plain,
( spl5_91
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_91])]) ).
fof(f229,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f767,plain,
( spl5_90
| ~ spl5_14
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f365,f351,f306,f764]) ).
fof(f764,plain,
( spl5_90
<=> sP2(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_90])]) ).
fof(f365,plain,
( sP2(xS)
| ~ spl5_14
| ~ spl5_23 ),
inference(resolution,[],[f352,f308]) ).
fof(f308,plain,
( aScalar0(xS)
| ~ spl5_14 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f731,plain,
( ~ spl5_18
| ~ spl5_88 ),
inference(avatar_contradiction_clause,[],[f705]) ).
fof(f705,plain,
( $false
| ~ spl5_18
| ~ spl5_88 ),
inference(resolution,[],[f700,f328]) ).
fof(f700,plain,
( ! [X2] : ~ aScalar0(X2)
| ~ spl5_88 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f730,plain,
( ~ spl5_13
| ~ spl5_88 ),
inference(avatar_contradiction_clause,[],[f707]) ).
fof(f707,plain,
( $false
| ~ spl5_13
| ~ spl5_88 ),
inference(resolution,[],[f700,f303]) ).
fof(f303,plain,
( aScalar0(xA)
| ~ spl5_13 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f729,plain,
( ~ spl5_12
| ~ spl5_88 ),
inference(avatar_contradiction_clause,[],[f708]) ).
fof(f708,plain,
( $false
| ~ spl5_12
| ~ spl5_88 ),
inference(resolution,[],[f700,f298]) ).
fof(f298,plain,
( aScalar0(xB)
| ~ spl5_12 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f728,plain,
( ~ spl5_10
| ~ spl5_88 ),
inference(avatar_contradiction_clause,[],[f709]) ).
fof(f709,plain,
( $false
| ~ spl5_10
| ~ spl5_88 ),
inference(resolution,[],[f700,f288]) ).
fof(f288,plain,
( aScalar0(xC)
| ~ spl5_10 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f286,plain,
( spl5_10
<=> aScalar0(xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).
fof(f727,plain,
( ~ spl5_9
| ~ spl5_88 ),
inference(avatar_contradiction_clause,[],[f710]) ).
fof(f710,plain,
( $false
| ~ spl5_9
| ~ spl5_88 ),
inference(resolution,[],[f700,f283]) ).
fof(f283,plain,
( aScalar0(xD)
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f281,plain,
( spl5_9
<=> aScalar0(xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
fof(f726,plain,
( ~ spl5_11
| ~ spl5_88 ),
inference(avatar_contradiction_clause,[],[f711]) ).
fof(f711,plain,
( $false
| ~ spl5_11
| ~ spl5_88 ),
inference(resolution,[],[f700,f293]) ).
fof(f293,plain,
( aScalar0(xE)
| ~ spl5_11 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f291,plain,
( spl5_11
<=> aScalar0(xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).
fof(f725,plain,
( ~ spl5_5
| ~ spl5_88 ),
inference(avatar_contradiction_clause,[],[f712]) ).
fof(f712,plain,
( $false
| ~ spl5_5
| ~ spl5_88 ),
inference(resolution,[],[f700,f263]) ).
fof(f263,plain,
( aScalar0(xF)
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f261,plain,
( spl5_5
<=> aScalar0(xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f724,plain,
( ~ spl5_6
| ~ spl5_88 ),
inference(avatar_contradiction_clause,[],[f713]) ).
fof(f713,plain,
( $false
| ~ spl5_6
| ~ spl5_88 ),
inference(resolution,[],[f700,f268]) ).
fof(f268,plain,
( aScalar0(xG)
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f266,plain,
( spl5_6
<=> aScalar0(xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f723,plain,
( ~ spl5_7
| ~ spl5_88 ),
inference(avatar_contradiction_clause,[],[f714]) ).
fof(f714,plain,
( $false
| ~ spl5_7
| ~ spl5_88 ),
inference(resolution,[],[f700,f273]) ).
fof(f273,plain,
( aScalar0(xH)
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f271,plain,
( spl5_7
<=> aScalar0(xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
fof(f722,plain,
( ~ spl5_15
| ~ spl5_88 ),
inference(avatar_contradiction_clause,[],[f715]) ).
fof(f715,plain,
( $false
| ~ spl5_15
| ~ spl5_88 ),
inference(resolution,[],[f700,f313]) ).
fof(f313,plain,
( aScalar0(xR)
| ~ spl5_15 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f721,plain,
( ~ spl5_16
| ~ spl5_88 ),
inference(avatar_contradiction_clause,[],[f716]) ).
fof(f716,plain,
( $false
| ~ spl5_16
| ~ spl5_88 ),
inference(resolution,[],[f700,f318]) ).
fof(f318,plain,
( aScalar0(xP)
| ~ spl5_16 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f720,plain,
( ~ spl5_14
| ~ spl5_88 ),
inference(avatar_contradiction_clause,[],[f717]) ).
fof(f717,plain,
( $false
| ~ spl5_14
| ~ spl5_88 ),
inference(resolution,[],[f700,f308]) ).
fof(f719,plain,
( ~ spl5_8
| ~ spl5_88 ),
inference(avatar_contradiction_clause,[],[f718]) ).
fof(f718,plain,
( $false
| ~ spl5_8
| ~ spl5_88 ),
inference(resolution,[],[f700,f278]) ).
fof(f704,plain,
( spl5_88
| spl5_89 ),
inference(avatar_split_clause,[],[f227,f702,f699]) ).
fof(f702,plain,
( spl5_89
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_89])]) ).
fof(f227,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f697,plain,
spl5_87,
inference(avatar_split_clause,[],[f222,f695]) ).
fof(f695,plain,
( spl5_87
<=> ! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_87])]) ).
fof(f222,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEASm) ).
fof(f693,plain,
( spl5_86
| ~ spl5_16
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f364,f351,f316,f690]) ).
fof(f690,plain,
( spl5_86
<=> sP2(xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_86])]) ).
fof(f364,plain,
( sP2(xP)
| ~ spl5_16
| ~ spl5_23 ),
inference(resolution,[],[f352,f318]) ).
fof(f688,plain,
spl5_85,
inference(avatar_split_clause,[],[f220,f686]) ).
fof(f686,plain,
( spl5_85
<=> ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_85])]) ).
fof(f220,plain,
! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMNeg) ).
fof(f684,plain,
spl5_84,
inference(avatar_split_clause,[],[f219,f682]) ).
fof(f682,plain,
( spl5_84
<=> ! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_84])]) ).
fof(f219,plain,
! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f680,plain,
spl5_83,
inference(avatar_split_clause,[],[f218,f678]) ).
fof(f678,plain,
( spl5_83
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_83])]) ).
fof(f218,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMDNeg) ).
fof(f676,plain,
spl5_82,
inference(avatar_split_clause,[],[f212,f674]) ).
fof(f674,plain,
( spl5_82
<=> ! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_82])]) ).
fof(f212,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> aScalar0(sdtasasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScPr) ).
fof(f669,plain,
spl5_81,
inference(avatar_split_clause,[],[f210,f667]) ).
fof(f667,plain,
( spl5_81
<=> ! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_81])]) ).
fof(f210,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccEqu) ).
fof(f665,plain,
spl5_80,
inference(avatar_split_clause,[],[f192,f663]) ).
fof(f663,plain,
( spl5_80
<=> ! [X0,X1,X3] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
| ~ aNaturalNumber0(X3)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_80])]) ).
fof(f192,plain,
! [X3,X0,X1] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
| ~ aNaturalNumber0(X3)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f651,plain,
( spl5_79
| ~ spl5_15
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f363,f351,f311,f648]) ).
fof(f648,plain,
( spl5_79
<=> sP2(xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_79])]) ).
fof(f363,plain,
( sP2(xR)
| ~ spl5_15
| ~ spl5_23 ),
inference(resolution,[],[f352,f313]) ).
fof(f646,plain,
spl5_78,
inference(avatar_split_clause,[],[f221,f644]) ).
fof(f644,plain,
( spl5_78
<=> ! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_78])]) ).
fof(f221,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETot) ).
fof(f642,plain,
spl5_77,
inference(avatar_split_clause,[],[f209,f640]) ).
fof(f640,plain,
( spl5_77
<=> ! [X0] :
( szszuzczcdt0(sK4(X0)) = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_77])]) ).
fof(f209,plain,
! [X0] :
( szszuzczcdt0(sK4(X0)) = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ( szszuzczcdt0(sK4(X0)) = X0
& aNaturalNumber0(sK4(X0)) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f84,f137]) ).
fof(f137,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) )
=> ( szszuzczcdt0(sK4(X0)) = X0
& aNaturalNumber0(sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ( sz00 != X0
& aNaturalNumber0(X0) )
=> ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtr) ).
fof(f635,plain,
spl5_76,
inference(avatar_split_clause,[],[f191,f633]) ).
fof(f633,plain,
( spl5_76
<=> ! [X0,X1] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_76])]) ).
fof(f191,plain,
! [X0,X1] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f631,plain,
spl5_75,
inference(avatar_split_clause,[],[f189,f629]) ).
fof(f629,plain,
( spl5_75
<=> ! [X0,X1] :
( sziznziztdt0(X0) = X1
| ~ sP0(X0,X1)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_75])]) ).
fof(f189,plain,
! [X0,X1] :
( sziznziztdt0(X0) = X1
| ~ sP0(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( ( sziznziztdt0(X0) = X1
| ~ sP0(X0,X1) )
& ( sP0(X0,X1)
| sziznziztdt0(X0) != X1 ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( sziznziztdt0(X0) = X1
<=> sP0(X0,X1) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f613,plain,
( spl5_74
| ~ spl5_7
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f362,f351,f271,f610]) ).
fof(f610,plain,
( spl5_74
<=> sP2(xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_74])]) ).
fof(f362,plain,
( sP2(xH)
| ~ spl5_7
| ~ spl5_23 ),
inference(resolution,[],[f352,f273]) ).
fof(f603,plain,
spl5_73,
inference(avatar_split_clause,[],[f217,f601]) ).
fof(f601,plain,
( spl5_73
<=> ! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_73])]) ).
fof(f217,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
fof(f599,plain,
spl5_72,
inference(avatar_split_clause,[],[f216,f597]) ).
fof(f216,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).
fof(f595,plain,
spl5_71,
inference(avatar_split_clause,[],[f211,f593]) ).
fof(f593,plain,
( spl5_71
<=> ! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_71])]) ).
fof(f211,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aVector0(X0) )
=> aScalar0(sdtlbdtrb0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mElmSc) ).
fof(f591,plain,
spl5_70,
inference(avatar_split_clause,[],[f208,f589]) ).
fof(f589,plain,
( spl5_70
<=> ! [X0] :
( aNaturalNumber0(sK4(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_70])]) ).
fof(f208,plain,
! [X0] :
( aNaturalNumber0(sK4(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f587,plain,
spl5_69,
inference(avatar_split_clause,[],[f204,f585]) ).
fof(f585,plain,
( spl5_69
<=> ! [X0] :
( sz0z00 = sdtpldt0(smndt0(X0),X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_69])]) ).
fof(f204,plain,
! [X0] :
( sz0z00 = sdtpldt0(smndt0(X0),X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ( sz0z00 = smndt0(sz0z00)
& smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ( sz0z00 = smndt0(sz0z00)
& smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f583,plain,
spl5_68,
inference(avatar_split_clause,[],[f203,f581]) ).
fof(f581,plain,
( spl5_68
<=> ! [X0] :
( sz0z00 = sdtpldt0(X0,smndt0(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_68])]) ).
fof(f203,plain,
! [X0] :
( sz0z00 = sdtpldt0(X0,smndt0(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f579,plain,
spl5_67,
inference(avatar_split_clause,[],[f195,f577]) ).
fof(f577,plain,
( spl5_67
<=> ! [X0] :
( sP1(X0)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_67])]) ).
fof(f195,plain,
! [X0] :
( sP1(X0)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( sP1(X0)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(definition_folding,[],[f78,f126,f125]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( sziznziztdt0(X0) = X1
<=> ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( sziznziztdt0(X0) = X1
<=> ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( aVector0(X0)
=> ( sz00 != aDimensionOf0(X0)
=> ! [X1] :
( sziznziztdt0(X0) = X1
<=> ( ! [X2] :
( aNaturalNumber0(X2)
=> sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefInit) ).
fof(f575,plain,
( spl5_66
| ~ spl5_6
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f361,f351,f266,f572]) ).
fof(f572,plain,
( spl5_66
<=> sP2(xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_66])]) ).
fof(f361,plain,
( sP2(xG)
| ~ spl5_6
| ~ spl5_23 ),
inference(resolution,[],[f352,f268]) ).
fof(f566,plain,
spl5_65,
inference(avatar_split_clause,[],[f205,f564]) ).
fof(f564,plain,
( spl5_65
<=> ! [X0] :
( smndt0(smndt0(X0)) = X0
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_65])]) ).
fof(f205,plain,
! [X0] :
( smndt0(smndt0(X0)) = X0
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f562,plain,
spl5_64,
inference(avatar_split_clause,[],[f202,f560]) ).
fof(f560,plain,
( spl5_64
<=> ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_64])]) ).
fof(f202,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f558,plain,
spl5_63,
inference(avatar_split_clause,[],[f201,f556]) ).
fof(f556,plain,
( spl5_63
<=> ! [X0] :
( sz0z00 = sdtasdt0(X0,sz0z00)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_63])]) ).
fof(f201,plain,
! [X0] :
( sz0z00 = sdtasdt0(X0,sz0z00)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f554,plain,
( spl5_62
| ~ spl5_5
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f360,f351,f261,f551]) ).
fof(f551,plain,
( spl5_62
<=> sP2(xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_62])]) ).
fof(f360,plain,
( sP2(xF)
| ~ spl5_5
| ~ spl5_23 ),
inference(resolution,[],[f352,f263]) ).
fof(f549,plain,
spl5_61,
inference(avatar_split_clause,[],[f200,f547]) ).
fof(f547,plain,
( spl5_61
<=> ! [X0] :
( sdtpldt0(sz0z00,X0) = X0
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_61])]) ).
fof(f200,plain,
! [X0] :
( sdtpldt0(sz0z00,X0) = X0
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f545,plain,
spl5_60,
inference(avatar_split_clause,[],[f199,f543]) ).
fof(f543,plain,
( spl5_60
<=> ! [X0] :
( sdtpldt0(X0,sz0z00) = X0
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_60])]) ).
fof(f199,plain,
! [X0] :
( sdtpldt0(X0,sz0z00) = X0
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f541,plain,
spl5_59,
inference(avatar_split_clause,[],[f198,f539]) ).
fof(f198,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqPos) ).
fof(f537,plain,
spl5_58,
inference(avatar_split_clause,[],[f187,f535]) ).
fof(f187,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aVector0(X0)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScSqPos) ).
fof(f533,plain,
spl5_57,
inference(avatar_split_clause,[],[f145,f530]) ).
fof(f530,plain,
( spl5_57
<=> sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_57])]) ).
fof(f145,plain,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(cnf_transformation,[],[f56]) ).
fof(f56,axiom,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1967) ).
fof(f528,plain,
spl5_56,
inference(avatar_split_clause,[],[f144,f525]) ).
fof(f144,plain,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(cnf_transformation,[],[f61]) ).
fof(f61,axiom,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2610) ).
fof(f523,plain,
~ spl5_55,
inference(avatar_split_clause,[],[f143,f520]) ).
fof(f520,plain,
( spl5_55
<=> sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_55])]) ).
fof(f143,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2590) ).
fof(f518,plain,
( spl5_54
| ~ spl5_11
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f359,f351,f291,f515]) ).
fof(f515,plain,
( spl5_54
<=> sP2(xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_54])]) ).
fof(f359,plain,
( sP2(xE)
| ~ spl5_11
| ~ spl5_23 ),
inference(resolution,[],[f352,f293]) ).
fof(f510,plain,
spl5_53,
inference(avatar_split_clause,[],[f236,f508]) ).
fof(f236,plain,
! [X0] :
( sP0(X0,sziznziztdt0(X0))
| ~ sP1(X0) ),
inference(equality_resolution,[],[f188]) ).
fof(f188,plain,
! [X0,X1] :
( sP0(X0,X1)
| sziznziztdt0(X0) != X1
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f505,plain,
( spl5_51
| spl5_52 ),
inference(avatar_split_clause,[],[f206,f502,f499]) ).
fof(f499,plain,
( spl5_51
<=> ! [X0] : ~ sP2(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_51])]) ).
fof(f502,plain,
( spl5_52
<=> sz0z00 = smndt0(sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_52])]) ).
fof(f206,plain,
! [X0] :
( sz0z00 = smndt0(sz0z00)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f497,plain,
spl5_50,
inference(avatar_split_clause,[],[f185,f495]) ).
fof(f495,plain,
( spl5_50
<=> ! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_50])]) ).
fof(f185,plain,
! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ( sz00 != szszuzczcdt0(X0)
& aNaturalNumber0(szszuzczcdt0(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 != szszuzczcdt0(X0)
& aNaturalNumber0(szszuzczcdt0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNat) ).
fof(f493,plain,
spl5_49,
inference(avatar_split_clause,[],[f183,f491]) ).
fof(f491,plain,
( spl5_49
<=> ! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_49])]) ).
fof(f183,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> iLess0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH) ).
fof(f489,plain,
( spl5_48
| ~ spl5_9
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f358,f351,f281,f486]) ).
fof(f486,plain,
( spl5_48
<=> sP2(xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_48])]) ).
fof(f358,plain,
( sP2(xD)
| ~ spl5_9
| ~ spl5_23 ),
inference(resolution,[],[f352,f283]) ).
fof(f484,plain,
spl5_47,
inference(avatar_split_clause,[],[f237,f481]) ).
fof(f481,plain,
( spl5_47
<=> xA = sdtlbdtrb0(xs,aDimensionOf0(xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_47])]) ).
fof(f237,plain,
xA = sdtlbdtrb0(xs,aDimensionOf0(xt)),
inference(forward_demodulation,[],[f171,f141]) ).
fof(f171,plain,
xA = sdtlbdtrb0(xs,aDimensionOf0(xs)),
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
( xA = sdtlbdtrb0(xs,aDimensionOf0(xs))
& aScalar0(xA) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1746) ).
fof(f479,plain,
spl5_46,
inference(avatar_split_clause,[],[f169,f476]) ).
fof(f476,plain,
( spl5_46
<=> xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_46])]) ).
fof(f169,plain,
xB = sdtlbdtrb0(xt,aDimensionOf0(xt)),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
& aScalar0(xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1766) ).
fof(f472,plain,
spl5_45,
inference(avatar_split_clause,[],[f197,f470]) ).
fof(f470,plain,
( spl5_45
<=> ! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_45])]) ).
fof(f197,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERef) ).
fof(f468,plain,
spl5_44,
inference(avatar_split_clause,[],[f196,f466]) ).
fof(f196,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNegSc) ).
fof(f464,plain,
spl5_43,
inference(avatar_split_clause,[],[f190,f462]) ).
fof(f190,plain,
! [X0,X1] :
( aVector0(X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f460,plain,
( spl5_42
| ~ spl5_10
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f357,f351,f286,f457]) ).
fof(f457,plain,
( spl5_42
<=> sP2(xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_42])]) ).
fof(f357,plain,
( sP2(xC)
| ~ spl5_10
| ~ spl5_23 ),
inference(resolution,[],[f352,f288]) ).
fof(f455,plain,
spl5_41,
inference(avatar_split_clause,[],[f186,f453]) ).
fof(f186,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( aVector0(X0)
=> aNaturalNumber0(aDimensionOf0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDimNat) ).
fof(f451,plain,
spl5_40,
inference(avatar_split_clause,[],[f184,f449]) ).
fof(f449,plain,
( spl5_40
<=> ! [X0] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_40])]) ).
fof(f184,plain,
! [X0] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f447,plain,
( spl5_39
| ~ spl5_12
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f356,f351,f296,f444]) ).
fof(f444,plain,
( spl5_39
<=> sP2(xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_39])]) ).
fof(f356,plain,
( sP2(xB)
| ~ spl5_12
| ~ spl5_23 ),
inference(resolution,[],[f352,f298]) ).
fof(f441,plain,
spl5_38,
inference(avatar_split_clause,[],[f179,f438]) ).
fof(f438,plain,
( spl5_38
<=> sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_38])]) ).
fof(f179,plain,
sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
( sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
& sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2628) ).
fof(f436,plain,
spl5_37,
inference(avatar_split_clause,[],[f178,f433]) ).
fof(f178,plain,
sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f62]) ).
fof(f431,plain,
spl5_36,
inference(avatar_split_clause,[],[f177,f428]) ).
fof(f428,plain,
( spl5_36
<=> xP = sdtasdt0(xE,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_36])]) ).
fof(f177,plain,
xP = sdtasdt0(xE,xH),
inference(cnf_transformation,[],[f53]) ).
fof(f53,axiom,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).
fof(f426,plain,
spl5_35,
inference(avatar_split_clause,[],[f175,f423]) ).
fof(f423,plain,
( spl5_35
<=> xR = sdtasdt0(xC,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_35])]) ).
fof(f175,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
fof(f421,plain,
( spl5_34
| ~ spl5_13
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f355,f351,f301,f418]) ).
fof(f418,plain,
( spl5_34
<=> sP2(xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_34])]) ).
fof(f355,plain,
( sP2(xA)
| ~ spl5_13
| ~ spl5_23 ),
inference(resolution,[],[f352,f303]) ).
fof(f416,plain,
spl5_33,
inference(avatar_split_clause,[],[f173,f413]) ).
fof(f413,plain,
( spl5_33
<=> xS = sdtasdt0(xF,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_33])]) ).
fof(f173,plain,
xS = sdtasdt0(xF,xD),
inference(cnf_transformation,[],[f54]) ).
fof(f54,axiom,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
fof(f411,plain,
spl5_32,
inference(avatar_split_clause,[],[f167,f408]) ).
fof(f408,plain,
( spl5_32
<=> xE = sdtasasdt0(xp,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_32])]) ).
fof(f167,plain,
xE = sdtasasdt0(xp,xq),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
( xE = sdtasasdt0(xp,xq)
& aScalar0(xE) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1820) ).
fof(f406,plain,
spl5_31,
inference(avatar_split_clause,[],[f165,f403]) ).
fof(f165,plain,
xC = sdtasasdt0(xp,xp),
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
( xC = sdtasasdt0(xp,xp)
& aScalar0(xC) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1783) ).
fof(f401,plain,
spl5_30,
inference(avatar_split_clause,[],[f163,f398]) ).
fof(f163,plain,
xD = sdtasasdt0(xq,xq),
inference(cnf_transformation,[],[f47]) ).
fof(f47,axiom,
( xD = sdtasasdt0(xq,xq)
& aScalar0(xD) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).
fof(f396,plain,
spl5_29,
inference(avatar_split_clause,[],[f161,f393]) ).
fof(f393,plain,
( spl5_29
<=> xN = sdtasdt0(xR,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_29])]) ).
fof(f161,plain,
xN = sdtasdt0(xR,xS),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
( xN = sdtasdt0(xR,xS)
& aScalar0(xN) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1949) ).
fof(f391,plain,
spl5_28,
inference(avatar_split_clause,[],[f159,f388]) ).
fof(f388,plain,
( spl5_28
<=> xH = sdtasdt0(xA,xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_28])]) ).
fof(f159,plain,
xH = sdtasdt0(xA,xB),
inference(cnf_transformation,[],[f51]) ).
fof(f51,axiom,
( xH = sdtasdt0(xA,xB)
& aScalar0(xH) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1873) ).
fof(f386,plain,
spl5_27,
inference(avatar_split_clause,[],[f157,f383]) ).
fof(f157,plain,
xG = sdtasdt0(xB,xB),
inference(cnf_transformation,[],[f50]) ).
fof(f50,axiom,
( xG = sdtasdt0(xB,xB)
& aScalar0(xG) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1854) ).
fof(f381,plain,
spl5_26,
inference(avatar_split_clause,[],[f155,f378]) ).
fof(f155,plain,
xF = sdtasdt0(xA,xA),
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
( xF = sdtasdt0(xA,xA)
& aScalar0(xF) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f376,plain,
spl5_25,
inference(avatar_split_clause,[],[f142,f373]) ).
fof(f373,plain,
( spl5_25
<=> sdtlseqdt0(sdtasdt0(xP,xP),xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_25])]) ).
fof(f142,plain,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(cnf_transformation,[],[f57]) ).
fof(f57,axiom,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2004) ).
fof(f371,plain,
spl5_24,
inference(avatar_split_clause,[],[f141,f368]) ).
fof(f353,plain,
spl5_23,
inference(avatar_split_clause,[],[f207,f351]) ).
fof(f207,plain,
! [X0] :
( sP2(X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( sP2(X0)
| ~ aScalar0(X0) ),
inference(definition_folding,[],[f82,f128]) ).
fof(f82,plain,
! [X0] :
( ( sz0z00 = smndt0(sz0z00)
& smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 )
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( aScalar0(X0)
=> ( sz0z00 = smndt0(sz0z00)
& smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScZero) ).
fof(f349,plain,
spl5_22,
inference(avatar_split_clause,[],[f151,f346]) ).
fof(f151,plain,
xp = sziznziztdt0(xs),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
( xp = sziznziztdt0(xs)
& aVector0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1709) ).
fof(f344,plain,
spl5_21,
inference(avatar_split_clause,[],[f149,f341]) ).
fof(f149,plain,
xq = sziznziztdt0(xt),
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
( xq = sziznziztdt0(xt)
& aVector0(xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1726) ).
fof(f339,plain,
~ spl5_20,
inference(avatar_split_clause,[],[f140,f336]) ).
fof(f140,plain,
sz00 != aDimensionOf0(xs),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
sz00 != aDimensionOf0(xs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1692) ).
fof(f334,plain,
~ spl5_19,
inference(avatar_split_clause,[],[f139,f331]) ).
fof(f139,plain,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(flattening,[],[f64]) ).
fof(f64,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(negated_conjecture,[],[f63]) ).
fof(f63,conjecture,
sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f329,plain,
spl5_18,
inference(avatar_split_clause,[],[f182,f326]) ).
fof(f182,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f324,plain,
spl5_17,
inference(avatar_split_clause,[],[f181,f321]) ).
fof(f321,plain,
( spl5_17
<=> aNaturalNumber0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_17])]) ).
fof(f181,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNat) ).
fof(f319,plain,
spl5_16,
inference(avatar_split_clause,[],[f176,f316]) ).
fof(f176,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f314,plain,
spl5_15,
inference(avatar_split_clause,[],[f174,f311]) ).
fof(f174,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f309,plain,
spl5_14,
inference(avatar_split_clause,[],[f172,f306]) ).
fof(f172,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f304,plain,
spl5_13,
inference(avatar_split_clause,[],[f170,f301]) ).
fof(f170,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f44]) ).
fof(f299,plain,
spl5_12,
inference(avatar_split_clause,[],[f168,f296]) ).
fof(f168,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f45]) ).
fof(f294,plain,
spl5_11,
inference(avatar_split_clause,[],[f166,f291]) ).
fof(f166,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f289,plain,
spl5_10,
inference(avatar_split_clause,[],[f164,f286]) ).
fof(f164,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f284,plain,
spl5_9,
inference(avatar_split_clause,[],[f162,f281]) ).
fof(f162,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f279,plain,
spl5_8,
inference(avatar_split_clause,[],[f160,f276]) ).
fof(f160,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f55]) ).
fof(f274,plain,
spl5_7,
inference(avatar_split_clause,[],[f158,f271]) ).
fof(f158,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f269,plain,
spl5_6,
inference(avatar_split_clause,[],[f156,f266]) ).
fof(f156,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f50]) ).
fof(f264,plain,
spl5_5,
inference(avatar_split_clause,[],[f154,f261]) ).
fof(f154,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f49]) ).
fof(f259,plain,
spl5_4,
inference(avatar_split_clause,[],[f153,f256]) ).
fof(f256,plain,
( spl5_4
<=> aVector0(xt) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f153,plain,
aVector0(xt),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
( aVector0(xt)
& aVector0(xs) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678) ).
fof(f254,plain,
spl5_3,
inference(avatar_split_clause,[],[f152,f251]) ).
fof(f152,plain,
aVector0(xs),
inference(cnf_transformation,[],[f38]) ).
fof(f249,plain,
spl5_2,
inference(avatar_split_clause,[],[f150,f246]) ).
fof(f150,plain,
aVector0(xp),
inference(cnf_transformation,[],[f42]) ).
fof(f244,plain,
spl5_1,
inference(avatar_split_clause,[],[f148,f241]) ).
fof(f148,plain,
aVector0(xq),
inference(cnf_transformation,[],[f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : RNG072+1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n003.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 02:16:03 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (7702)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (7703)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (7709)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)
% 0.21/0.39 % (7705)WARNING: value z3 for option sas not known
% 0.21/0.39 % (7705)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)
% 0.21/0.39 TRYING [1]
% 0.21/0.39 TRYING [2]
% 0.21/0.39 % (7706)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.39 % (7704)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.39 % (7707)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)
% 0.21/0.39 % (7708)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)
% 0.21/0.40 TRYING [3]
% 0.21/0.40 TRYING [1]
% 0.21/0.40 TRYING [2]
% 0.21/0.41 TRYING [3]
% 0.21/0.42 % (7707)First to succeed.
% 0.21/0.43 % (7707)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Theorem for theBenchmark
% 0.21/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.43 % (7707)------------------------------
% 0.21/0.43 % (7707)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.43 % (7707)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (7707)Memory used [KB]: 1523
% 0.21/0.43 % (7707)Time elapsed: 0.039 s
% 0.21/0.43 % (7707)Instructions burned: 60 (million)
% 0.21/0.43 % (7707)------------------------------
% 0.21/0.43 % (7707)------------------------------
% 0.21/0.43 % (7702)Success in time 0.069 s
%------------------------------------------------------------------------------