TSTP Solution File: RNG050+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG050+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n019.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 May 21 02:40:52 EDT 2024
% Result : Theorem 0.20s 0.40s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 133
% Syntax : Number of formulae : 431 ( 62 unt; 0 def)
% Number of atoms : 1572 ( 332 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1985 ( 844 ~; 869 |; 123 &)
% ( 99 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 104 ( 102 usr; 95 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 557 ( 549 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f831,plain,
$false,
inference(avatar_sat_refutation,[],[f178,f183,f188,f193,f198,f202,f208,f212,f216,f220,f224,f228,f234,f238,f246,f251,f256,f260,f264,f268,f272,f276,f280,f290,f294,f298,f302,f306,f310,f314,f318,f338,f342,f349,f353,f366,f371,f377,f381,f388,f393,f397,f401,f405,f409,f416,f419,f438,f463,f480,f484,f488,f492,f511,f515,f519,f535,f539,f553,f557,f561,f571,f577,f582,f590,f599,f607,f613,f626,f631,f639,f649,f664,f668,f672,f703,f707,f711,f727,f731,f742,f753,f757,f770,f774,f778,f782,f789,f813,f817,f821,f825,f829,f830]) ).
fof(f830,plain,
( ~ spl5_4
| ~ spl5_12
| spl5_82 ),
inference(avatar_split_clause,[],[f783,f739,f226,f190]) ).
fof(f190,plain,
( spl5_4
<=> aScalar0(sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f226,plain,
( spl5_12
<=> ! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_12])]) ).
fof(f739,plain,
( spl5_82
<=> sdtlseqdt0(sz0z00,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_82])]) ).
fof(f783,plain,
( ~ aScalar0(sz0z00)
| ~ spl5_12
| spl5_82 ),
inference(resolution,[],[f741,f227]) ).
fof(f227,plain,
( ! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) )
| ~ spl5_12 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f741,plain,
( ~ sdtlseqdt0(sz0z00,sz0z00)
| spl5_82 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f829,plain,
( spl5_94
| ~ spl5_4
| ~ spl5_55 ),
inference(avatar_split_clause,[],[f520,f509,f190,f827]) ).
fof(f827,plain,
( spl5_94
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(X0,sdtpldt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_94])]) ).
fof(f509,plain,
( spl5_55
<=> ! [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_55])]) ).
fof(f520,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(X0,sdtpldt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_4
| ~ spl5_55 ),
inference(resolution,[],[f510,f192]) ).
fof(f192,plain,
( aScalar0(sz0z00)
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f510,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_55 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f825,plain,
( spl5_93
| ~ spl5_36
| ~ spl5_54 ),
inference(avatar_split_clause,[],[f504,f490,f351,f823]) ).
fof(f823,plain,
( spl5_93
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_93])]) ).
fof(f351,plain,
( spl5_36
<=> ! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_36])]) ).
fof(f490,plain,
( spl5_54
<=> ! [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_54])]) ).
fof(f504,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X2) )
| ~ spl5_36
| ~ spl5_54 ),
inference(duplicate_literal_removal,[],[f501]) ).
fof(f501,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) )
| ~ spl5_36
| ~ spl5_54 ),
inference(resolution,[],[f491,f352]) ).
fof(f352,plain,
( ! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_36 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f491,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_54 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f821,plain,
( spl5_92
| ~ spl5_11
| ~ spl5_45 ),
inference(avatar_split_clause,[],[f467,f403,f222,f819]) ).
fof(f819,plain,
( spl5_92
<=> ! [X0,X1] :
( sdtasdt0(smndt0(X0),smndt0(X1)) = smndt0(sdtasdt0(X0,smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_92])]) ).
fof(f222,plain,
( spl5_11
<=> ! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).
fof(f403,plain,
( spl5_45
<=> ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_45])]) ).
fof(f467,plain,
( ! [X0,X1] :
( sdtasdt0(smndt0(X0),smndt0(X1)) = smndt0(sdtasdt0(X0,smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_11
| ~ spl5_45 ),
inference(resolution,[],[f404,f223]) ).
fof(f223,plain,
( ! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl5_11 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f404,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X0) )
| ~ spl5_45 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f817,plain,
( spl5_91
| ~ spl5_11
| ~ spl5_44 ),
inference(avatar_split_clause,[],[f457,f399,f222,f815]) ).
fof(f815,plain,
( spl5_91
<=> ! [X0,X1] :
( sdtasdt0(X0,smndt0(smndt0(X1))) = smndt0(sdtasdt0(X0,smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_91])]) ).
fof(f399,plain,
( spl5_44
<=> ! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_44])]) ).
fof(f457,plain,
( ! [X0,X1] :
( sdtasdt0(X0,smndt0(smndt0(X1))) = smndt0(sdtasdt0(X0,smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_11
| ~ spl5_44 ),
inference(resolution,[],[f400,f223]) ).
fof(f400,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X0) )
| ~ spl5_44 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f813,plain,
( spl5_90
| ~ spl5_11
| ~ spl5_43 ),
inference(avatar_split_clause,[],[f451,f395,f222,f811]) ).
fof(f811,plain,
( spl5_90
<=> ! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X0),smndt0(smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_90])]) ).
fof(f395,plain,
( spl5_43
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_43])]) ).
fof(f451,plain,
( ! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X0),smndt0(smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_11
| ~ spl5_43 ),
inference(resolution,[],[f396,f223]) ).
fof(f396,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X0) )
| ~ spl5_43 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f789,plain,
( spl5_89
| ~ spl5_11
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f442,f436,f222,f787]) ).
fof(f787,plain,
( spl5_89
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_89])]) ).
fof(f436,plain,
( spl5_49
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_49])]) ).
fof(f442,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0)
| ~ aScalar0(X1) )
| ~ spl5_11
| ~ spl5_49 ),
inference(resolution,[],[f437,f223]) ).
fof(f437,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ spl5_49 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f782,plain,
( spl5_88
| ~ spl5_11
| ~ spl5_48 ),
inference(avatar_split_clause,[],[f433,f414,f222,f780]) ).
fof(f780,plain,
( spl5_88
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_88])]) ).
fof(f414,plain,
( spl5_48
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_48])]) ).
fof(f433,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0)
| ~ aScalar0(X1) )
| ~ spl5_11
| ~ spl5_48 ),
inference(resolution,[],[f415,f223]) ).
fof(f415,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ spl5_48 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f778,plain,
( spl5_87
| ~ spl5_8
| ~ spl5_35 ),
inference(avatar_split_clause,[],[f357,f347,f210,f776]) ).
fof(f776,plain,
( spl5_87
<=> ! [X0] :
( sz00 = aDimensionOf0(X0)
| aDimensionOf0(X0) = szszuzczcdt0(sK4(aDimensionOf0(X0)))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_87])]) ).
fof(f210,plain,
( spl5_8
<=> ! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
fof(f347,plain,
( spl5_35
<=> ! [X0] :
( szszuzczcdt0(sK4(X0)) = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_35])]) ).
fof(f357,plain,
( ! [X0] :
( sz00 = aDimensionOf0(X0)
| aDimensionOf0(X0) = szszuzczcdt0(sK4(aDimensionOf0(X0)))
| ~ aVector0(X0) )
| ~ spl5_8
| ~ spl5_35 ),
inference(resolution,[],[f348,f211]) ).
fof(f211,plain,
( ! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) )
| ~ spl5_8 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f348,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| szszuzczcdt0(sK4(X0)) = X0 )
| ~ spl5_35 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f774,plain,
( spl5_86
| ~ spl5_10
| ~ spl5_35 ),
inference(avatar_split_clause,[],[f356,f347,f218,f772]) ).
fof(f772,plain,
( spl5_86
<=> ! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK4(szszuzczcdt0(X0)))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_86])]) ).
fof(f218,plain,
( spl5_10
<=> ! [X0] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).
fof(f356,plain,
( ! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK4(szszuzczcdt0(X0)))
| ~ aNaturalNumber0(X0) )
| ~ spl5_10
| ~ spl5_35 ),
inference(resolution,[],[f348,f219]) ).
fof(f219,plain,
( ! [X0] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) )
| ~ spl5_10 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f770,plain,
( spl5_85
| ~ spl5_17
| ~ spl5_39 ),
inference(avatar_split_clause,[],[f382,f375,f249,f768]) ).
fof(f768,plain,
( spl5_85
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(X1,X0) = sdtlbdtrb0(sziznziztdt0(X1),X0)
| ~ sP1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_85])]) ).
fof(f249,plain,
( spl5_17
<=> ! [X0] :
( sP0(X0,sziznziztdt0(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_17])]) ).
fof(f375,plain,
( spl5_39
<=> ! [X0,X1,X3] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
| ~ aNaturalNumber0(X3)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_39])]) ).
fof(f382,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(X1,X0) = sdtlbdtrb0(sziznziztdt0(X1),X0)
| ~ sP1(X1) )
| ~ spl5_17
| ~ spl5_39 ),
inference(resolution,[],[f376,f250]) ).
fof(f250,plain,
( ! [X0] :
( sP0(X0,sziznziztdt0(X0))
| ~ sP1(X0) )
| ~ spl5_17 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f376,plain,
( ! [X3,X0,X1] :
( ~ sP0(X0,X1)
| ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3) )
| ~ spl5_39 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f757,plain,
( spl5_84
| ~ spl5_64 ),
inference(avatar_split_clause,[],[f578,f575,f755]) ).
fof(f755,plain,
( spl5_84
<=> ! [X0] :
( sP0(X0,X0)
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_84])]) ).
fof(f575,plain,
( spl5_64
<=> ! [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_64])]) ).
fof(f578,plain,
( ! [X0] :
( sP0(X0,X0)
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X0))
| ~ aVector0(X0) )
| ~ spl5_64 ),
inference(equality_resolution,[],[f576]) ).
fof(f576,plain,
( ! [X0,X1] :
( sdtlbdtrb0(X1,sK3(X0,X1)) != sdtlbdtrb0(X0,sK3(X0,X1))
| sP0(X0,X1)
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) )
| ~ spl5_64 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f753,plain,
( spl5_83
| ~ spl5_4
| ~ spl5_45 ),
inference(avatar_split_clause,[],[f464,f403,f190,f751]) ).
fof(f751,plain,
( spl5_83
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_83])]) ).
fof(f464,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_4
| ~ spl5_45 ),
inference(resolution,[],[f404,f192]) ).
fof(f742,plain,
( ~ spl5_82
| spl5_1
| ~ spl5_71 ),
inference(avatar_split_clause,[],[f687,f628,f175,f739]) ).
fof(f175,plain,
( spl5_1
<=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f628,plain,
( spl5_71
<=> sz0z00 = sdtasasdt0(xs,xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_71])]) ).
fof(f687,plain,
( ~ sdtlseqdt0(sz0z00,sz0z00)
| spl5_1
| ~ spl5_71 ),
inference(superposition,[],[f177,f630]) ).
fof(f630,plain,
( sz0z00 = sdtasasdt0(xs,xs)
| ~ spl5_71 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f177,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
| spl5_1 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f731,plain,
( spl5_81
| ~ spl5_4
| ~ spl5_16
| ~ spl5_44 ),
inference(avatar_split_clause,[],[f459,f399,f243,f190,f729]) ).
fof(f729,plain,
( spl5_81
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_81])]) ).
fof(f243,plain,
( spl5_16
<=> sz0z00 = smndt0(sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_16])]) ).
fof(f459,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_4
| ~ spl5_16
| ~ spl5_44 ),
inference(forward_demodulation,[],[f454,f245]) ).
fof(f245,plain,
( sz0z00 = smndt0(sz0z00)
| ~ spl5_16 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f454,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sz0z00)) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_4
| ~ spl5_44 ),
inference(resolution,[],[f400,f192]) ).
fof(f727,plain,
( spl5_80
| ~ spl5_4
| ~ spl5_16
| ~ spl5_43 ),
inference(avatar_split_clause,[],[f453,f395,f243,f190,f725]) ).
fof(f725,plain,
( spl5_80
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(smndt0(X0),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_80])]) ).
fof(f453,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(smndt0(X0),sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_4
| ~ spl5_16
| ~ spl5_43 ),
inference(forward_demodulation,[],[f448,f245]) ).
fof(f448,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(smndt0(X0),smndt0(sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_4
| ~ spl5_43 ),
inference(resolution,[],[f396,f192]) ).
fof(f711,plain,
( spl5_79
| ~ spl5_4
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f439,f436,f190,f709]) ).
fof(f709,plain,
( spl5_79
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sz0z00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_79])]) ).
fof(f439,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sz0z00,X0) )
| ~ spl5_4
| ~ spl5_49 ),
inference(resolution,[],[f437,f192]) ).
fof(f707,plain,
( spl5_78
| ~ spl5_4
| ~ spl5_48 ),
inference(avatar_split_clause,[],[f430,f414,f190,f705]) ).
fof(f705,plain,
( spl5_78
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = sdtpldt0(sz0z00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_78])]) ).
fof(f430,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = sdtpldt0(sz0z00,X0) )
| ~ spl5_4
| ~ spl5_48 ),
inference(resolution,[],[f415,f192]) ).
fof(f703,plain,
( spl5_77
| ~ spl5_17
| ~ spl5_34 ),
inference(avatar_split_clause,[],[f345,f340,f249,f701]) ).
fof(f701,plain,
( spl5_77
<=> ! [X0] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0)))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_77])]) ).
fof(f340,plain,
( spl5_34
<=> ! [X0,X1] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_34])]) ).
fof(f345,plain,
( ! [X0] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0)))
| ~ sP1(X0) )
| ~ spl5_17
| ~ spl5_34 ),
inference(resolution,[],[f341,f250]) ).
fof(f341,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1)) )
| ~ spl5_34 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f672,plain,
( spl5_76
| ~ spl5_6
| ~ spl5_32 ),
inference(avatar_split_clause,[],[f334,f316,f200,f670]) ).
fof(f670,plain,
( spl5_76
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sP2(sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_76])]) ).
fof(f200,plain,
( spl5_6
<=> ! [X0] :
( sP2(X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f316,plain,
( spl5_32
<=> ! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_32])]) ).
fof(f334,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sP2(sdtasdt0(X1,X0)) )
| ~ spl5_6
| ~ spl5_32 ),
inference(resolution,[],[f317,f201]) ).
fof(f201,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sP2(X0) )
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f317,plain,
( ! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_32 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f668,plain,
( spl5_75
| ~ spl5_6
| ~ spl5_31 ),
inference(avatar_split_clause,[],[f333,f312,f200,f666]) ).
fof(f666,plain,
( spl5_75
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sP2(sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_75])]) ).
fof(f312,plain,
( spl5_31
<=> ! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_31])]) ).
fof(f333,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sP2(sdtpldt0(X1,X0)) )
| ~ spl5_6
| ~ spl5_31 ),
inference(resolution,[],[f313,f201]) ).
fof(f313,plain,
( ! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_31 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f664,plain,
( spl5_74
| ~ spl5_6
| ~ spl5_30 ),
inference(avatar_split_clause,[],[f332,f308,f200,f662]) ).
fof(f662,plain,
( spl5_74
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aVector0(X1)
| sP2(sdtlbdtrb0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_74])]) ).
fof(f308,plain,
( spl5_30
<=> ! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_30])]) ).
fof(f332,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aVector0(X1)
| sP2(sdtlbdtrb0(X1,X0)) )
| ~ spl5_6
| ~ spl5_30 ),
inference(resolution,[],[f309,f201]) ).
fof(f309,plain,
( ! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) )
| ~ spl5_30 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f649,plain,
( spl5_73
| ~ spl5_41 ),
inference(avatar_split_clause,[],[f447,f386,f647]) ).
fof(f647,plain,
( spl5_73
<=> ! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_73])]) ).
fof(f386,plain,
( spl5_41
<=> ! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_41])]) ).
fof(f447,plain,
( ! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) )
| ~ spl5_41 ),
inference(duplicate_literal_removal,[],[f446]) ).
fof(f446,plain,
( ! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0)
| ~ aVector0(X0) )
| ~ spl5_41 ),
inference(equality_resolution,[],[f387]) ).
fof(f387,plain,
( ! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1))
| ~ aVector0(X1)
| ~ aVector0(X0) )
| ~ spl5_41 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f639,plain,
( ~ spl5_4
| spl5_72
| ~ spl5_38
| ~ spl5_54 ),
inference(avatar_split_clause,[],[f496,f490,f369,f637,f190]) ).
fof(f637,plain,
( spl5_72
<=> ! [X0,X1] :
( sdtlseqdt0(X0,sdtasasdt0(X1,X1))
| ~ aVector0(X1)
| ~ iLess0(aDimensionOf0(X1),sz00)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasasdt0(X1,X1))
| ~ sdtlseqdt0(X0,sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_72])]) ).
fof(f369,plain,
( spl5_38
<=> ! [X0] :
( ~ iLess0(aDimensionOf0(X0),sz00)
| sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_38])]) ).
fof(f496,plain,
( ! [X0,X1] :
( sdtlseqdt0(X0,sdtasasdt0(X1,X1))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(sdtasasdt0(X1,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ iLess0(aDimensionOf0(X1),sz00)
| ~ aVector0(X1) )
| ~ spl5_38
| ~ spl5_54 ),
inference(resolution,[],[f491,f370]) ).
fof(f370,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ iLess0(aDimensionOf0(X0),sz00)
| ~ aVector0(X0) )
| ~ spl5_38 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f631,plain,
( spl5_71
| ~ spl5_2
| ~ spl5_5
| ~ spl5_68 ),
inference(avatar_split_clause,[],[f609,f605,f195,f180,f628]) ).
fof(f180,plain,
( spl5_2
<=> aVector0(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f195,plain,
( spl5_5
<=> sz00 = aDimensionOf0(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f605,plain,
( spl5_68
<=> ! [X0] :
( sz0z00 = sdtasasdt0(X0,xs)
| ~ aVector0(X0)
| sz00 != aDimensionOf0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_68])]) ).
fof(f609,plain,
( ~ aVector0(xs)
| sz0z00 = sdtasasdt0(xs,xs)
| ~ spl5_5
| ~ spl5_68 ),
inference(trivial_inequality_removal,[],[f608]) ).
fof(f608,plain,
( sz00 != sz00
| ~ aVector0(xs)
| sz0z00 = sdtasasdt0(xs,xs)
| ~ spl5_5
| ~ spl5_68 ),
inference(superposition,[],[f606,f197]) ).
fof(f197,plain,
( sz00 = aDimensionOf0(xs)
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f606,plain,
( ! [X0] :
( sz00 != aDimensionOf0(X0)
| ~ aVector0(X0)
| sz0z00 = sdtasasdt0(X0,xs) )
| ~ spl5_68 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f626,plain,
( ~ spl5_4
| spl5_70
| ~ spl5_38
| ~ spl5_46 ),
inference(avatar_split_clause,[],[f469,f407,f369,f624,f190]) ).
fof(f624,plain,
( spl5_70
<=> ! [X0] :
( sz0z00 = sdtasasdt0(X0,X0)
| ~ aVector0(X0)
| ~ iLess0(aDimensionOf0(X0),sz00)
| ~ aScalar0(sdtasasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_70])]) ).
fof(f407,plain,
( spl5_46
<=> ! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_46])]) ).
fof(f469,plain,
( ! [X0] :
( sz0z00 = sdtasasdt0(X0,X0)
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtasasdt0(X0,X0))
| ~ iLess0(aDimensionOf0(X0),sz00)
| ~ aVector0(X0) )
| ~ spl5_38
| ~ spl5_46 ),
inference(resolution,[],[f408,f370]) ).
fof(f408,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_46 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f613,plain,
( ~ spl5_2
| spl5_69
| ~ spl5_5
| ~ spl5_51 ),
inference(avatar_split_clause,[],[f493,f478,f195,f611,f180]) ).
fof(f611,plain,
( spl5_69
<=> ! [X0] :
( aDimensionOf0(X0) != szszuzczcdt0(sz00)
| sP0(X0,xs)
| aNaturalNumber0(sK3(X0,xs)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_69])]) ).
fof(f478,plain,
( spl5_51
<=> ! [X0,X1] :
( sP0(X0,X1)
| aNaturalNumber0(sK3(X0,X1))
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_51])]) ).
fof(f493,plain,
( ! [X0] :
( aDimensionOf0(X0) != szszuzczcdt0(sz00)
| aNaturalNumber0(sK3(X0,xs))
| sP0(X0,xs)
| ~ aVector0(xs) )
| ~ spl5_5
| ~ spl5_51 ),
inference(superposition,[],[f479,f197]) ).
fof(f479,plain,
( ! [X0,X1] :
( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| aNaturalNumber0(sK3(X0,X1))
| sP0(X0,X1)
| ~ aVector0(X1) )
| ~ spl5_51 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f607,plain,
( ~ spl5_2
| spl5_68
| ~ spl5_5
| ~ spl5_57 ),
inference(avatar_split_clause,[],[f531,f517,f195,f605,f180]) ).
fof(f517,plain,
( spl5_57
<=> ! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| sz00 != aDimensionOf0(X0)
| ~ aVector0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_57])]) ).
fof(f531,plain,
( ! [X0] :
( sz0z00 = sdtasasdt0(X0,xs)
| sz00 != aDimensionOf0(X0)
| ~ aVector0(xs)
| ~ aVector0(X0) )
| ~ spl5_5
| ~ spl5_57 ),
inference(trivial_inequality_removal,[],[f530]) ).
fof(f530,plain,
( ! [X0] :
( sz00 != sz00
| sz0z00 = sdtasasdt0(X0,xs)
| sz00 != aDimensionOf0(X0)
| ~ aVector0(xs)
| ~ aVector0(X0) )
| ~ spl5_5
| ~ spl5_57 ),
inference(superposition,[],[f518,f197]) ).
fof(f518,plain,
( ! [X0,X1] :
( sz00 != aDimensionOf0(X1)
| sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X0)
| ~ aVector0(X1)
| ~ aVector0(X0) )
| ~ spl5_57 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f599,plain,
spl5_67,
inference(avatar_split_clause,[],[f148,f597]) ).
fof(f597,plain,
( spl5_67
<=> ! [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_67])]) ).
fof(f148,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,[],[f65]) ).
fof(f65,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,[],[f64]) ).
fof(f64,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/sandbox/benchmark/theBenchmark.p',mDefSPN) ).
fof(f590,plain,
spl5_66,
inference(avatar_split_clause,[],[f169,f588]) ).
fof(f588,plain,
( spl5_66
<=> ! [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_66])]) ).
fof(f169,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,[],[f95]) ).
fof(f95,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,[],[f94]) ).
fof(f94,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/sandbox/benchmark/theBenchmark.p',mDistr2) ).
fof(f582,plain,
spl5_65,
inference(avatar_split_clause,[],[f171,f580]) ).
fof(f580,plain,
( spl5_65
<=> ! [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_65])]) ).
fof(f171,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,[],[f99]) ).
fof(f99,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,[],[f98]) ).
fof(f98,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/sandbox/benchmark/theBenchmark.p',mLEMonM) ).
fof(f577,plain,
spl5_64,
inference(avatar_split_clause,[],[f127,f575]) ).
fof(f127,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,[],[f110]) ).
fof(f110,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])],[f108,f109]) ).
fof(f109,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(f108,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,[],[f107]) ).
fof(f107,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,[],[f106]) ).
fof(f106,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,[],[f100]) ).
fof(f100,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(f571,plain,
spl5_63,
inference(avatar_split_clause,[],[f170,f569]) ).
fof(f569,plain,
( spl5_63
<=> ! [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_63])]) ).
fof(f170,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,[],[f97]) ).
fof(f97,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,[],[f96]) ).
fof(f96,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/sandbox/benchmark/theBenchmark.p',mLEMon) ).
fof(f561,plain,
spl5_62,
inference(avatar_split_clause,[],[f159,f559]) ).
fof(f559,plain,
( spl5_62
<=> ! [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_62])]) ).
fof(f159,plain,
! [X0,X1] :
( X0 = X1
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( X0 = X1
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,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/sandbox/benchmark/theBenchmark.p',mSqrt) ).
fof(f557,plain,
spl5_61,
inference(avatar_split_clause,[],[f147,f555]) ).
fof(f555,plain,
( spl5_61
<=> ! [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_61])]) ).
fof(f147,plain,
! [X0,X1] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f62]) ).
fof(f62,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/sandbox/benchmark/theBenchmark.p',mEqInit) ).
fof(f553,plain,
( ~ spl5_2
| spl5_60
| ~ spl5_5
| ~ spl5_41 ),
inference(avatar_split_clause,[],[f445,f386,f195,f551,f180]) ).
fof(f551,plain,
( spl5_60
<=> ! [X0] :
( sz00 != aDimensionOf0(X0)
| ~ aVector0(X0)
| aScalar0(sdtasasdt0(X0,xs)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_60])]) ).
fof(f445,plain,
( ! [X0] :
( sz00 != aDimensionOf0(X0)
| aScalar0(sdtasasdt0(X0,xs))
| ~ aVector0(xs)
| ~ aVector0(X0) )
| ~ spl5_5
| ~ spl5_41 ),
inference(superposition,[],[f387,f197]) ).
fof(f539,plain,
spl5_59,
inference(avatar_split_clause,[],[f167,f537]) ).
fof(f537,plain,
( spl5_59
<=> ! [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_59])]) ).
fof(f167,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,[],[f91]) ).
fof(f91,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,[],[f90]) ).
fof(f90,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/sandbox/benchmark/theBenchmark.p',mDistr) ).
fof(f535,plain,
spl5_58,
inference(avatar_split_clause,[],[f166,f533]) ).
fof(f533,plain,
( spl5_58
<=> ! [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_58])]) ).
fof(f166,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,[],[f91]) ).
fof(f519,plain,
spl5_57,
inference(avatar_split_clause,[],[f173,f517]) ).
fof(f173,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| sz00 != aDimensionOf0(X0)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(inner_rewriting,[],[f149]) ).
fof(f149,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f66]) ).
fof(f66,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/sandbox/benchmark/theBenchmark.p',mDefSPZ) ).
fof(f515,plain,
spl5_56,
inference(avatar_split_clause,[],[f164,f513]) ).
fof(f513,plain,
( spl5_56
<=> ! [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_56])]) ).
fof(f164,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,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,[],[f88]) ).
fof(f88,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/sandbox/benchmark/theBenchmark.p',mArith) ).
fof(f511,plain,
spl5_55,
inference(avatar_split_clause,[],[f162,f509]) ).
fof(f162,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f492,plain,
spl5_54,
inference(avatar_split_clause,[],[f168,f490]) ).
fof(f168,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f92]) ).
fof(f92,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/sandbox/benchmark/theBenchmark.p',mLETrn) ).
fof(f488,plain,
spl5_53,
inference(avatar_split_clause,[],[f161,f486]) ).
fof(f486,plain,
( spl5_53
<=> ! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_53])]) ).
fof(f161,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,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,[],[f86]) ).
fof(f86,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/sandbox/benchmark/theBenchmark.p',mPosMon) ).
fof(f484,plain,
spl5_52,
inference(avatar_split_clause,[],[f160,f482]) ).
fof(f482,plain,
( spl5_52
<=> ! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_52])]) ).
fof(f160,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f480,plain,
spl5_51,
inference(avatar_split_clause,[],[f126,f478]) ).
fof(f126,plain,
! [X0,X1] :
( sP0(X0,X1)
| aNaturalNumber0(sK3(X0,X1))
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f463,plain,
( ~ spl5_2
| spl5_50
| ~ spl5_5
| ~ spl5_41 ),
inference(avatar_split_clause,[],[f444,f386,f195,f461,f180]) ).
fof(f461,plain,
( spl5_50
<=> ! [X0] :
( sz00 != aDimensionOf0(X0)
| ~ aVector0(X0)
| aScalar0(sdtasasdt0(xs,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_50])]) ).
fof(f444,plain,
( ! [X0] :
( sz00 != aDimensionOf0(X0)
| aScalar0(sdtasasdt0(xs,X0))
| ~ aVector0(X0)
| ~ aVector0(xs) )
| ~ spl5_5
| ~ spl5_41 ),
inference(superposition,[],[f387,f197]) ).
fof(f438,plain,
( spl5_47
| spl5_49 ),
inference(avatar_split_clause,[],[f165,f436,f411]) ).
fof(f411,plain,
( spl5_47
<=> ! [X2] : ~ aScalar0(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_47])]) ).
fof(f165,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f419,plain,
( ~ spl5_4
| ~ spl5_47 ),
inference(avatar_contradiction_clause,[],[f417]) ).
fof(f417,plain,
( $false
| ~ spl5_4
| ~ spl5_47 ),
inference(resolution,[],[f412,f192]) ).
fof(f412,plain,
( ! [X2] : ~ aScalar0(X2)
| ~ spl5_47 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f416,plain,
( spl5_47
| spl5_48 ),
inference(avatar_split_clause,[],[f163,f414,f411]) ).
fof(f163,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f409,plain,
spl5_46,
inference(avatar_split_clause,[],[f158,f407]) ).
fof(f158,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,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/sandbox/benchmark/theBenchmark.p',mLEASm) ).
fof(f405,plain,
spl5_45,
inference(avatar_split_clause,[],[f156,f403]) ).
fof(f156,plain,
! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,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,[],[f78]) ).
fof(f78,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/sandbox/benchmark/theBenchmark.p',mMNeg) ).
fof(f401,plain,
spl5_44,
inference(avatar_split_clause,[],[f155,f399]) ).
fof(f155,plain,
! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f397,plain,
spl5_43,
inference(avatar_split_clause,[],[f154,f395]) ).
fof(f154,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f76]) ).
fof(f76,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/sandbox/benchmark/theBenchmark.p',mMDNeg) ).
fof(f393,plain,
( ~ spl5_2
| ~ spl5_42
| spl5_1
| ~ spl5_5
| ~ spl5_38 ),
inference(avatar_split_clause,[],[f373,f369,f195,f175,f390,f180]) ).
fof(f390,plain,
( spl5_42
<=> iLess0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_42])]) ).
fof(f373,plain,
( ~ iLess0(sz00,sz00)
| ~ aVector0(xs)
| spl5_1
| ~ spl5_5
| ~ spl5_38 ),
inference(forward_demodulation,[],[f372,f197]) ).
fof(f372,plain,
( ~ iLess0(aDimensionOf0(xs),sz00)
| ~ aVector0(xs)
| spl5_1
| ~ spl5_38 ),
inference(resolution,[],[f370,f177]) ).
fof(f388,plain,
spl5_41,
inference(avatar_split_clause,[],[f146,f386]) ).
fof(f146,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f60]) ).
fof(f60,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/sandbox/benchmark/theBenchmark.p',mScPr) ).
fof(f381,plain,
spl5_40,
inference(avatar_split_clause,[],[f151,f379]) ).
fof(f379,plain,
( spl5_40
<=> ! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_40])]) ).
fof(f151,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f70]) ).
fof(f70,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/sandbox/benchmark/theBenchmark.p',mSuccEqu) ).
fof(f377,plain,
spl5_39,
inference(avatar_split_clause,[],[f125,f375]) ).
fof(f125,plain,
! [X3,X0,X1] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
| ~ aNaturalNumber0(X3)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f371,plain,
( spl5_38
| ~ spl5_5
| ~ spl5_37 ),
inference(avatar_split_clause,[],[f367,f364,f195,f369]) ).
fof(f364,plain,
( spl5_37
<=> ! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_37])]) ).
fof(f367,plain,
( ! [X0] :
( ~ iLess0(aDimensionOf0(X0),sz00)
| sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) )
| ~ spl5_5
| ~ spl5_37 ),
inference(forward_demodulation,[],[f365,f197]) ).
fof(f365,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| ~ aVector0(X0) )
| ~ spl5_37 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f366,plain,
spl5_37,
inference(avatar_split_clause,[],[f117,f364]) ).
fof(f117,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| ~ aVector0(X0) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( aVector0(X0)
=> ( iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1516) ).
fof(f353,plain,
spl5_36,
inference(avatar_split_clause,[],[f157,f351]) ).
fof(f157,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,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/sandbox/benchmark/theBenchmark.p',mLETot) ).
fof(f349,plain,
spl5_35,
inference(avatar_split_clause,[],[f145,f347]) ).
fof(f145,plain,
! [X0] :
( szszuzczcdt0(sK4(X0)) = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ( szszuzczcdt0(sK4(X0)) = X0
& aNaturalNumber0(sK4(X0)) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f59,f112]) ).
fof(f112,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) )
=> ( szszuzczcdt0(sK4(X0)) = X0
& aNaturalNumber0(sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f58]) ).
fof(f58,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/sandbox/benchmark/theBenchmark.p',mNatExtr) ).
fof(f342,plain,
spl5_34,
inference(avatar_split_clause,[],[f124,f340]) ).
fof(f124,plain,
! [X0,X1] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f338,plain,
spl5_33,
inference(avatar_split_clause,[],[f122,f336]) ).
fof(f336,plain,
( spl5_33
<=> ! [X0,X1] :
( sziznziztdt0(X0) = X1
| ~ sP0(X0,X1)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_33])]) ).
fof(f122,plain,
! [X0,X1] :
( sziznziztdt0(X0) = X1
| ~ sP0(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ( sziznziztdt0(X0) = X1
| ~ sP0(X0,X1) )
& ( sP0(X0,X1)
| sziznziztdt0(X0) != X1 ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( sziznziztdt0(X0) = X1
<=> sP0(X0,X1) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f318,plain,
spl5_32,
inference(avatar_split_clause,[],[f153,f316]) ).
fof(f153,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f74]) ).
fof(f74,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/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(f314,plain,
spl5_31,
inference(avatar_split_clause,[],[f152,f312]) ).
fof(f152,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f72]) ).
fof(f72,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/sandbox/benchmark/theBenchmark.p',mSumSc) ).
fof(f310,plain,
spl5_30,
inference(avatar_split_clause,[],[f150,f308]) ).
fof(f150,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f68]) ).
fof(f68,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/sandbox/benchmark/theBenchmark.p',mElmSc) ).
fof(f306,plain,
spl5_29,
inference(avatar_split_clause,[],[f144,f304]) ).
fof(f304,plain,
( spl5_29
<=> ! [X0] :
( aNaturalNumber0(sK4(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_29])]) ).
fof(f144,plain,
! [X0] :
( aNaturalNumber0(sK4(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f302,plain,
spl5_28,
inference(avatar_split_clause,[],[f140,f300]) ).
fof(f300,plain,
( spl5_28
<=> ! [X0] :
( sz0z00 = sdtpldt0(smndt0(X0),X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_28])]) ).
fof(f140,plain,
! [X0] :
( sz0z00 = sdtpldt0(smndt0(X0),X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,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,[],[f103]) ).
fof(f103,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(f298,plain,
spl5_27,
inference(avatar_split_clause,[],[f139,f296]) ).
fof(f296,plain,
( spl5_27
<=> ! [X0] :
( sz0z00 = sdtpldt0(X0,smndt0(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_27])]) ).
fof(f139,plain,
! [X0] :
( sz0z00 = sdtpldt0(X0,smndt0(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f294,plain,
spl5_26,
inference(avatar_split_clause,[],[f128,f292]) ).
fof(f292,plain,
( spl5_26
<=> ! [X0] :
( sP1(X0)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_26])]) ).
fof(f128,plain,
! [X0] :
( sP1(X0)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( sP1(X0)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(definition_folding,[],[f51,f101,f100]) ).
fof(f51,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,[],[f50]) ).
fof(f50,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/sandbox/benchmark/theBenchmark.p',mDefInit) ).
fof(f290,plain,
( spl5_25
| ~ spl5_9
| ~ spl5_17 ),
inference(avatar_split_clause,[],[f252,f249,f214,f288]) ).
fof(f288,plain,
( spl5_25
<=> ! [X0] :
( ~ sP1(X0)
| aVector0(sziznziztdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_25])]) ).
fof(f214,plain,
( spl5_9
<=> ! [X0,X1] :
( aVector0(X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
fof(f252,plain,
( ! [X0] :
( ~ sP1(X0)
| aVector0(sziznziztdt0(X0)) )
| ~ spl5_9
| ~ spl5_17 ),
inference(resolution,[],[f250,f215]) ).
fof(f215,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| aVector0(X1) )
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f280,plain,
spl5_24,
inference(avatar_split_clause,[],[f141,f278]) ).
fof(f278,plain,
( spl5_24
<=> ! [X0] :
( smndt0(smndt0(X0)) = X0
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_24])]) ).
fof(f141,plain,
! [X0] :
( smndt0(smndt0(X0)) = X0
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f276,plain,
spl5_23,
inference(avatar_split_clause,[],[f138,f274]) ).
fof(f274,plain,
( spl5_23
<=> ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_23])]) ).
fof(f138,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f272,plain,
spl5_22,
inference(avatar_split_clause,[],[f137,f270]) ).
fof(f270,plain,
( spl5_22
<=> ! [X0] :
( sz0z00 = sdtasdt0(X0,sz0z00)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_22])]) ).
fof(f137,plain,
! [X0] :
( sz0z00 = sdtasdt0(X0,sz0z00)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f268,plain,
spl5_21,
inference(avatar_split_clause,[],[f136,f266]) ).
fof(f266,plain,
( spl5_21
<=> ! [X0] :
( sdtpldt0(sz0z00,X0) = X0
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_21])]) ).
fof(f136,plain,
! [X0] :
( sdtpldt0(sz0z00,X0) = X0
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f264,plain,
( spl5_20
| ~ spl5_6
| ~ spl5_11 ),
inference(avatar_split_clause,[],[f230,f222,f200,f262]) ).
fof(f262,plain,
( spl5_20
<=> ! [X0] :
( ~ aScalar0(X0)
| sP2(smndt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_20])]) ).
fof(f230,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sP2(smndt0(X0)) )
| ~ spl5_6
| ~ spl5_11 ),
inference(resolution,[],[f223,f201]) ).
fof(f260,plain,
spl5_19,
inference(avatar_split_clause,[],[f135,f258]) ).
fof(f258,plain,
( spl5_19
<=> ! [X0] :
( sdtpldt0(X0,sz0z00) = X0
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_19])]) ).
fof(f135,plain,
! [X0] :
( sdtpldt0(X0,sz0z00) = X0
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f256,plain,
spl5_18,
inference(avatar_split_clause,[],[f134,f254]) ).
fof(f254,plain,
( spl5_18
<=> ! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_18])]) ).
fof(f134,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,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/sandbox/benchmark/theBenchmark.p',mSqPos) ).
fof(f251,plain,
spl5_17,
inference(avatar_split_clause,[],[f172,f249]) ).
fof(f172,plain,
! [X0] :
( sP0(X0,sziznziztdt0(X0))
| ~ sP1(X0) ),
inference(equality_resolution,[],[f121]) ).
fof(f121,plain,
! [X0,X1] :
( sP0(X0,X1)
| sziznziztdt0(X0) != X1
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f246,plain,
( spl5_15
| spl5_16 ),
inference(avatar_split_clause,[],[f142,f243,f240]) ).
fof(f240,plain,
( spl5_15
<=> ! [X0] : ~ sP2(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_15])]) ).
fof(f142,plain,
! [X0] :
( sz0z00 = smndt0(sz0z00)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f238,plain,
spl5_14,
inference(avatar_split_clause,[],[f131,f236]) ).
fof(f236,plain,
( spl5_14
<=> ! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_14])]) ).
fof(f131,plain,
! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,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/sandbox/benchmark/theBenchmark.p',mSuccNat) ).
fof(f234,plain,
spl5_13,
inference(avatar_split_clause,[],[f129,f232]) ).
fof(f232,plain,
( spl5_13
<=> ! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).
fof(f129,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,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/sandbox/benchmark/theBenchmark.p',mIH) ).
fof(f228,plain,
spl5_12,
inference(avatar_split_clause,[],[f133,f226]) ).
fof(f133,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERef) ).
fof(f224,plain,
spl5_11,
inference(avatar_split_clause,[],[f132,f222]) ).
fof(f132,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNegSc) ).
fof(f220,plain,
spl5_10,
inference(avatar_split_clause,[],[f130,f218]) ).
fof(f130,plain,
! [X0] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f216,plain,
spl5_9,
inference(avatar_split_clause,[],[f123,f214]) ).
fof(f123,plain,
! [X0,X1] :
( aVector0(X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f212,plain,
spl5_8,
inference(avatar_split_clause,[],[f120,f210]) ).
fof(f120,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( aVector0(X0)
=> aNaturalNumber0(aDimensionOf0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDimNat) ).
fof(f208,plain,
( spl5_7
| ~ spl5_4
| ~ spl5_6 ),
inference(avatar_split_clause,[],[f203,f200,f190,f205]) ).
fof(f205,plain,
( spl5_7
<=> sP2(sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
fof(f203,plain,
( sP2(sz0z00)
| ~ spl5_4
| ~ spl5_6 ),
inference(resolution,[],[f201,f192]) ).
fof(f202,plain,
spl5_6,
inference(avatar_split_clause,[],[f143,f200]) ).
fof(f143,plain,
! [X0] :
( sP2(X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( sP2(X0)
| ~ aScalar0(X0) ),
inference(definition_folding,[],[f57,f103]) ).
fof(f57,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/sandbox/benchmark/theBenchmark.p',mScZero) ).
fof(f198,plain,
( spl5_5
| spl5_1 ),
inference(avatar_split_clause,[],[f114,f175,f195]) ).
fof(f114,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
| sz00 = aDimensionOf0(xs) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
& ( sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
| sz00 = aDimensionOf0(xs) ) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,negated_conjecture,
~ ( ( sz00 != aDimensionOf0(xs)
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
inference(negated_conjecture,[],[f39]) ).
fof(f39,conjecture,
( ( sz00 != aDimensionOf0(xs)
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f193,plain,
spl5_4,
inference(avatar_split_clause,[],[f119,f190]) ).
fof(f119,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f188,plain,
spl5_3,
inference(avatar_split_clause,[],[f118,f185]) ).
fof(f185,plain,
( spl5_3
<=> aNaturalNumber0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f118,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNat) ).
fof(f183,plain,
spl5_2,
inference(avatar_split_clause,[],[f116,f180]) ).
fof(f116,plain,
aVector0(xs),
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
aVector0(xs),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1542) ).
fof(f178,plain,
~ spl5_1,
inference(avatar_split_clause,[],[f115,f175]) ).
fof(f115,plain,
~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
inference(cnf_transformation,[],[f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG050+1 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 12:31:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (16298)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37 % (16301)WARNING: value z3 for option sas not known
% 0.20/0.37 % (16302)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37 % (16299)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.37 % (16300)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.38 % (16301)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)
% 0.20/0.38 % (16303)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)
% 0.20/0.38 % (16304)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)
% 0.20/0.38 % (16305)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)
% 0.20/0.38 TRYING [1]
% 0.20/0.38 TRYING [2]
% 0.20/0.38 TRYING [1]
% 0.20/0.38 TRYING [2]
% 0.20/0.39 TRYING [3]
% 0.20/0.39 TRYING [3]
% 0.20/0.40 % (16303)First to succeed.
% 0.20/0.40 % (16303)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16298"
% 0.20/0.40 TRYING [1]
% 0.20/0.40 % (16303)Refutation found. Thanks to Tanya!
% 0.20/0.40 % SZS status Theorem for theBenchmark
% 0.20/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.41 % (16303)------------------------------
% 0.20/0.41 % (16303)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.41 % (16303)Termination reason: Refutation
% 0.20/0.41
% 0.20/0.41 % (16303)Memory used [KB]: 1264
% 0.20/0.41 % (16303)Time elapsed: 0.029 s
% 0.20/0.41 % (16303)Instructions burned: 42 (million)
% 0.20/0.41 % (16298)Success in time 0.047 s
%------------------------------------------------------------------------------