TSTP Solution File: RNG071+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG071+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 : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:56:14 EDT 2024
% Result : Theorem 0.17s 0.42s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 115
% Syntax : Number of formulae : 871 ( 194 unt; 0 def)
% Number of atoms : 2446 ( 591 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 2797 (1222 ~;1329 |; 140 &)
% ( 58 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 63 ( 61 usr; 54 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 18 con; 0-2 aty)
% Number of variables : 537 ( 529 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2253,plain,
$false,
inference(avatar_sat_refutation,[],[f245,f258,f267,f305,f311,f317,f319,f605,f609,f634,f638,f756,f759,f769,f772,f824,f827,f842,f946,f957,f968,f979,f988,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1060,f1118,f1480,f1588,f1596,f1670,f1672,f1755,f1766,f1806,f1942,f1954,f1965,f1976,f1987,f2020,f2031,f2250]) ).
fof(f2250,plain,
( ~ spl5_7
| ~ spl5_9
| ~ spl5_11
| ~ spl5_12 ),
inference(avatar_contradiction_clause,[],[f2249]) ).
fof(f2249,plain,
( $false
| ~ spl5_7
| ~ spl5_9
| ~ spl5_11
| ~ spl5_12 ),
inference(subsumption_resolution,[],[f2248,f628]) ).
fof(f628,plain,
( aScalar0(sdtpldt0(xP,xP))
| ~ spl5_11 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f627,plain,
( spl5_11
<=> aScalar0(sdtpldt0(xP,xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).
fof(f2248,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| ~ spl5_7
| ~ spl5_9
| ~ spl5_12 ),
inference(subsumption_resolution,[],[f2243,f633]) ).
fof(f633,plain,
( sdtlseqdt0(sdtpldt0(xP,xP),sz0z00)
| ~ spl5_12 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f631,plain,
( spl5_12
<=> sdtlseqdt0(sdtpldt0(xP,xP),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_12])]) ).
fof(f2243,plain,
( ~ sdtlseqdt0(sdtpldt0(xP,xP),sz0z00)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ spl5_7
| ~ spl5_9 ),
inference(resolution,[],[f1719,f142]) ).
fof(f142,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(f1719,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_7
| ~ spl5_9 ),
inference(subsumption_resolution,[],[f1718,f179]) ).
fof(f179,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f1718,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_7
| ~ spl5_9 ),
inference(subsumption_resolution,[],[f1696,f599]) ).
fof(f599,plain,
( aScalar0(sdtpldt0(xR,xS))
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f598,plain,
( spl5_9
<=> aScalar0(sdtpldt0(xR,xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
fof(f1696,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_7 ),
inference(resolution,[],[f229,f299]) ).
fof(f299,plain,
( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f298,plain,
( spl5_7
<=> sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
fof(f229,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f116]) ).
fof(f116,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(f2031,plain,
( ~ spl5_52
| spl5_53
| spl5_8
| spl5_38 ),
inference(avatar_split_clause,[],[f1927,f1799,f302,f2028,f2024]) ).
fof(f2024,plain,
( spl5_52
<=> sdtlseqdt0(xN,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_52])]) ).
fof(f2028,plain,
( spl5_53
<=> xP = xN ),
introduced(avatar_definition,[new_symbols(naming,[spl5_53])]) ).
fof(f302,plain,
( spl5_8
<=> sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
fof(f1799,plain,
( spl5_38
<=> sdtlseqdt0(xN,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_38])]) ).
fof(f1927,plain,
( xP = xN
| ~ sdtlseqdt0(xN,xP)
| spl5_8
| spl5_38 ),
inference(subsumption_resolution,[],[f1926,f159]) ).
fof(f159,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
( xN = sdtasdt0(xR,xS)
& aScalar0(xN) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1949) ).
fof(f1926,plain,
( xP = xN
| ~ sdtlseqdt0(xN,xP)
| ~ aScalar0(xN)
| spl5_8
| spl5_38 ),
inference(subsumption_resolution,[],[f1923,f175]) ).
fof(f175,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f53,axiom,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).
fof(f1923,plain,
( xP = xN
| ~ sdtlseqdt0(xN,xP)
| ~ aScalar0(xP)
| ~ aScalar0(xN)
| spl5_8
| spl5_38 ),
inference(resolution,[],[f1861,f219]) ).
fof(f219,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f106]) ).
fof(f106,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(f1861,plain,
( sdtlseqdt0(xP,xN)
| spl5_8
| spl5_38 ),
inference(subsumption_resolution,[],[f1845,f159]) ).
fof(f1845,plain,
( sdtlseqdt0(xP,xN)
| ~ aScalar0(xN)
| spl5_8
| spl5_38 ),
inference(resolution,[],[f1833,f1801]) ).
fof(f1801,plain,
( ~ sdtlseqdt0(xN,sz0z00)
| spl5_38 ),
inference(avatar_component_clause,[],[f1799]) ).
fof(f1833,plain,
( ! [X0] :
( sdtlseqdt0(xP,X0)
| sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X0) )
| spl5_8 ),
inference(subsumption_resolution,[],[f1831,f175]) ).
fof(f1831,plain,
( ! [X0] :
( sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X0)
| sdtlseqdt0(xP,X0)
| ~ aScalar0(xP) )
| spl5_8 ),
inference(duplicate_literal_removal,[],[f1828]) ).
fof(f1828,plain,
( ! [X0] :
( sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X0)
| sdtlseqdt0(xP,X0)
| ~ aScalar0(xP)
| ~ aScalar0(X0) )
| spl5_8 ),
inference(resolution,[],[f1744,f218]) ).
fof(f218,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f104]) ).
fof(f104,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(f1744,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xP)
| sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X0) )
| spl5_8 ),
inference(subsumption_resolution,[],[f1743,f175]) ).
fof(f1743,plain,
( ! [X0] :
( sdtlseqdt0(X0,sz0z00)
| ~ sdtlseqdt0(X0,xP)
| ~ aScalar0(xP)
| ~ aScalar0(X0) )
| spl5_8 ),
inference(subsumption_resolution,[],[f1712,f179]) ).
fof(f1712,plain,
( ! [X0] :
( sdtlseqdt0(X0,sz0z00)
| ~ sdtlseqdt0(X0,xP)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xP)
| ~ aScalar0(X0) )
| spl5_8 ),
inference(resolution,[],[f229,f1641]) ).
fof(f1641,plain,
( sdtlseqdt0(xP,sz0z00)
| spl5_8 ),
inference(subsumption_resolution,[],[f1640,f179]) ).
fof(f1640,plain,
( sdtlseqdt0(xP,sz0z00)
| ~ aScalar0(sz0z00)
| spl5_8 ),
inference(subsumption_resolution,[],[f1638,f175]) ).
fof(f1638,plain,
( sdtlseqdt0(xP,sz0z00)
| ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| spl5_8 ),
inference(resolution,[],[f1633,f218]) ).
fof(f1633,plain,
( ~ sdtlseqdt0(sz0z00,xP)
| spl5_8 ),
inference(subsumption_resolution,[],[f1632,f175]) ).
fof(f1632,plain,
( ~ sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(xP)
| spl5_8 ),
inference(duplicate_literal_removal,[],[f1629]) ).
fof(f1629,plain,
( ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(xP)
| ~ aScalar0(xP)
| spl5_8 ),
inference(resolution,[],[f304,f221]) ).
fof(f221,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[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(flattening,[],[f110]) ).
fof(f110,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(f304,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| spl5_8 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f2020,plain,
( ~ spl5_50
| spl5_51
| spl5_8
| spl5_36 ),
inference(avatar_split_clause,[],[f1921,f1759,f302,f2017,f2013]) ).
fof(f2013,plain,
( spl5_50
<=> sdtlseqdt0(xS,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_50])]) ).
fof(f2017,plain,
( spl5_51
<=> xP = xS ),
introduced(avatar_definition,[new_symbols(naming,[spl5_51])]) ).
fof(f1759,plain,
( spl5_36
<=> sdtlseqdt0(xS,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_36])]) ).
fof(f1921,plain,
( xP = xS
| ~ sdtlseqdt0(xS,xP)
| spl5_8
| spl5_36 ),
inference(subsumption_resolution,[],[f1920,f171]) ).
fof(f171,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f54,axiom,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
fof(f1920,plain,
( xP = xS
| ~ sdtlseqdt0(xS,xP)
| ~ aScalar0(xS)
| spl5_8
| spl5_36 ),
inference(subsumption_resolution,[],[f1917,f175]) ).
fof(f1917,plain,
( xP = xS
| ~ sdtlseqdt0(xS,xP)
| ~ aScalar0(xP)
| ~ aScalar0(xS)
| spl5_8
| spl5_36 ),
inference(resolution,[],[f1860,f219]) ).
fof(f1860,plain,
( sdtlseqdt0(xP,xS)
| spl5_8
| spl5_36 ),
inference(subsumption_resolution,[],[f1844,f171]) ).
fof(f1844,plain,
( sdtlseqdt0(xP,xS)
| ~ aScalar0(xS)
| spl5_8
| spl5_36 ),
inference(resolution,[],[f1833,f1761]) ).
fof(f1761,plain,
( ~ sdtlseqdt0(xS,sz0z00)
| spl5_36 ),
inference(avatar_component_clause,[],[f1759]) ).
fof(f1987,plain,
( ~ spl5_48
| spl5_49
| spl5_8
| spl5_34 ),
inference(avatar_split_clause,[],[f1915,f1748,f302,f1984,f1980]) ).
fof(f1980,plain,
( spl5_48
<=> sdtlseqdt0(xR,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_48])]) ).
fof(f1984,plain,
( spl5_49
<=> xR = xP ),
introduced(avatar_definition,[new_symbols(naming,[spl5_49])]) ).
fof(f1748,plain,
( spl5_34
<=> sdtlseqdt0(xR,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_34])]) ).
fof(f1915,plain,
( xR = xP
| ~ sdtlseqdt0(xR,xP)
| spl5_8
| spl5_34 ),
inference(subsumption_resolution,[],[f1914,f173]) ).
fof(f173,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
fof(f1914,plain,
( xR = xP
| ~ sdtlseqdt0(xR,xP)
| ~ aScalar0(xR)
| spl5_8
| spl5_34 ),
inference(subsumption_resolution,[],[f1911,f175]) ).
fof(f1911,plain,
( xR = xP
| ~ sdtlseqdt0(xR,xP)
| ~ aScalar0(xP)
| ~ aScalar0(xR)
| spl5_8
| spl5_34 ),
inference(resolution,[],[f1859,f219]) ).
fof(f1859,plain,
( sdtlseqdt0(xP,xR)
| spl5_8
| spl5_34 ),
inference(subsumption_resolution,[],[f1843,f173]) ).
fof(f1843,plain,
( sdtlseqdt0(xP,xR)
| ~ aScalar0(xR)
| spl5_8
| spl5_34 ),
inference(resolution,[],[f1833,f1750]) ).
fof(f1750,plain,
( ~ sdtlseqdt0(xR,sz0z00)
| spl5_34 ),
inference(avatar_component_clause,[],[f1748]) ).
fof(f1976,plain,
( ~ spl5_46
| spl5_47
| spl5_8
| spl5_25 ),
inference(avatar_split_clause,[],[f1909,f972,f302,f1973,f1969]) ).
fof(f1969,plain,
( spl5_46
<=> sdtlseqdt0(xG,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_46])]) ).
fof(f1973,plain,
( spl5_47
<=> xG = xP ),
introduced(avatar_definition,[new_symbols(naming,[spl5_47])]) ).
fof(f972,plain,
( spl5_25
<=> sdtlseqdt0(xG,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_25])]) ).
fof(f1909,plain,
( xG = xP
| ~ sdtlseqdt0(xG,xP)
| spl5_8
| spl5_25 ),
inference(subsumption_resolution,[],[f1908,f157]) ).
fof(f157,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f50]) ).
fof(f50,axiom,
( xG = sdtasdt0(xB,xB)
& aScalar0(xG) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1854) ).
fof(f1908,plain,
( xG = xP
| ~ sdtlseqdt0(xG,xP)
| ~ aScalar0(xG)
| spl5_8
| spl5_25 ),
inference(subsumption_resolution,[],[f1905,f175]) ).
fof(f1905,plain,
( xG = xP
| ~ sdtlseqdt0(xG,xP)
| ~ aScalar0(xP)
| ~ aScalar0(xG)
| spl5_8
| spl5_25 ),
inference(resolution,[],[f1858,f219]) ).
fof(f1858,plain,
( sdtlseqdt0(xP,xG)
| spl5_8
| spl5_25 ),
inference(subsumption_resolution,[],[f1842,f157]) ).
fof(f1842,plain,
( sdtlseqdt0(xP,xG)
| ~ aScalar0(xG)
| spl5_8
| spl5_25 ),
inference(resolution,[],[f1833,f974]) ).
fof(f974,plain,
( ~ sdtlseqdt0(xG,sz0z00)
| spl5_25 ),
inference(avatar_component_clause,[],[f972]) ).
fof(f1965,plain,
( ~ spl5_44
| spl5_45
| spl5_8
| spl5_23 ),
inference(avatar_split_clause,[],[f1903,f961,f302,f1962,f1958]) ).
fof(f1958,plain,
( spl5_44
<=> sdtlseqdt0(xF,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_44])]) ).
fof(f1962,plain,
( spl5_45
<=> xF = xP ),
introduced(avatar_definition,[new_symbols(naming,[spl5_45])]) ).
fof(f961,plain,
( spl5_23
<=> sdtlseqdt0(xF,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_23])]) ).
fof(f1903,plain,
( xF = xP
| ~ sdtlseqdt0(xF,xP)
| spl5_8
| spl5_23 ),
inference(subsumption_resolution,[],[f1902,f153]) ).
fof(f153,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
( xF = sdtasdt0(xA,xA)
& aScalar0(xF) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f1902,plain,
( xF = xP
| ~ sdtlseqdt0(xF,xP)
| ~ aScalar0(xF)
| spl5_8
| spl5_23 ),
inference(subsumption_resolution,[],[f1899,f175]) ).
fof(f1899,plain,
( xF = xP
| ~ sdtlseqdt0(xF,xP)
| ~ aScalar0(xP)
| ~ aScalar0(xF)
| spl5_8
| spl5_23 ),
inference(resolution,[],[f1857,f219]) ).
fof(f1857,plain,
( sdtlseqdt0(xP,xF)
| spl5_8
| spl5_23 ),
inference(subsumption_resolution,[],[f1841,f153]) ).
fof(f1841,plain,
( sdtlseqdt0(xP,xF)
| ~ aScalar0(xF)
| spl5_8
| spl5_23 ),
inference(resolution,[],[f1833,f963]) ).
fof(f963,plain,
( ~ sdtlseqdt0(xF,sz0z00)
| spl5_23 ),
inference(avatar_component_clause,[],[f961]) ).
fof(f1954,plain,
( ~ spl5_42
| spl5_43
| spl5_8
| spl5_21 ),
inference(avatar_split_clause,[],[f1897,f950,f302,f1951,f1947]) ).
fof(f1947,plain,
( spl5_42
<=> sdtlseqdt0(xD,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_42])]) ).
fof(f1951,plain,
( spl5_43
<=> xD = xP ),
introduced(avatar_definition,[new_symbols(naming,[spl5_43])]) ).
fof(f950,plain,
( spl5_21
<=> sdtlseqdt0(xD,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_21])]) ).
fof(f1897,plain,
( xD = xP
| ~ sdtlseqdt0(xD,xP)
| spl5_8
| spl5_21 ),
inference(subsumption_resolution,[],[f1896,f163]) ).
fof(f163,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f47,axiom,
( xD = sdtasasdt0(xq,xq)
& aScalar0(xD) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).
fof(f1896,plain,
( xD = xP
| ~ sdtlseqdt0(xD,xP)
| ~ aScalar0(xD)
| spl5_8
| spl5_21 ),
inference(subsumption_resolution,[],[f1893,f175]) ).
fof(f1893,plain,
( xD = xP
| ~ sdtlseqdt0(xD,xP)
| ~ aScalar0(xP)
| ~ aScalar0(xD)
| spl5_8
| spl5_21 ),
inference(resolution,[],[f1856,f219]) ).
fof(f1856,plain,
( sdtlseqdt0(xP,xD)
| spl5_8
| spl5_21 ),
inference(subsumption_resolution,[],[f1840,f163]) ).
fof(f1840,plain,
( sdtlseqdt0(xP,xD)
| ~ aScalar0(xD)
| spl5_8
| spl5_21 ),
inference(resolution,[],[f1833,f952]) ).
fof(f952,plain,
( ~ sdtlseqdt0(xD,sz0z00)
| spl5_21 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f1942,plain,
( ~ spl5_40
| spl5_41
| spl5_8
| spl5_19 ),
inference(avatar_split_clause,[],[f1891,f939,f302,f1939,f1935]) ).
fof(f1935,plain,
( spl5_40
<=> sdtlseqdt0(xC,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_40])]) ).
fof(f1939,plain,
( spl5_41
<=> xC = xP ),
introduced(avatar_definition,[new_symbols(naming,[spl5_41])]) ).
fof(f939,plain,
( spl5_19
<=> sdtlseqdt0(xC,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_19])]) ).
fof(f1891,plain,
( xC = xP
| ~ sdtlseqdt0(xC,xP)
| spl5_8
| spl5_19 ),
inference(subsumption_resolution,[],[f1890,f161]) ).
fof(f161,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
( xC = sdtasasdt0(xp,xp)
& aScalar0(xC) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1783) ).
fof(f1890,plain,
( xC = xP
| ~ sdtlseqdt0(xC,xP)
| ~ aScalar0(xC)
| spl5_8
| spl5_19 ),
inference(subsumption_resolution,[],[f1887,f175]) ).
fof(f1887,plain,
( xC = xP
| ~ sdtlseqdt0(xC,xP)
| ~ aScalar0(xP)
| ~ aScalar0(xC)
| spl5_8
| spl5_19 ),
inference(resolution,[],[f1855,f219]) ).
fof(f1855,plain,
( sdtlseqdt0(xP,xC)
| spl5_8
| spl5_19 ),
inference(subsumption_resolution,[],[f1839,f161]) ).
fof(f1839,plain,
( sdtlseqdt0(xP,xC)
| ~ aScalar0(xC)
| spl5_8
| spl5_19 ),
inference(resolution,[],[f1833,f941]) ).
fof(f941,plain,
( ~ sdtlseqdt0(xC,sz0z00)
| spl5_19 ),
inference(avatar_component_clause,[],[f939]) ).
fof(f1806,plain,
( ~ spl5_38
| spl5_39
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f1797,f1477,f1803,f1799]) ).
fof(f1803,plain,
( spl5_39
<=> sz0z00 = xN ),
introduced(avatar_definition,[new_symbols(naming,[spl5_39])]) ).
fof(f1477,plain,
( spl5_33
<=> sdtlseqdt0(sz0z00,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_33])]) ).
fof(f1797,plain,
( sz0z00 = xN
| ~ sdtlseqdt0(xN,sz0z00)
| ~ spl5_33 ),
inference(subsumption_resolution,[],[f1796,f159]) ).
fof(f1796,plain,
( sz0z00 = xN
| ~ sdtlseqdt0(xN,sz0z00)
| ~ aScalar0(xN)
| ~ spl5_33 ),
inference(subsumption_resolution,[],[f1793,f179]) ).
fof(f1793,plain,
( sz0z00 = xN
| ~ sdtlseqdt0(xN,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xN)
| ~ spl5_33 ),
inference(resolution,[],[f1791,f219]) ).
fof(f1791,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ spl5_33 ),
inference(subsumption_resolution,[],[f1614,f1478]) ).
fof(f1478,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ spl5_33 ),
inference(avatar_component_clause,[],[f1477]) ).
fof(f1614,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,xS) ),
inference(global_subsumption,[],[f168,f177,f191,f210,f211,f212,f234,f220,f225,f223,f228,f227,f229,f230,f231,f232,f147,f149,f151,f152,f153,f155,f157,f159,f161,f163,f165,f167,f169,f171,f173,f175,f178,f179,f139,f148,f150,f204,f140,f141,f154,f156,f158,f160,f162,f164,f166,f172,f174,f176,f181,f183,f236,f187,f193,f194,f170,f237,f180,f182,f203,f233,f248,f142,f249,f247,f143,f144,f184,f272,f273,f195,f276,f277,f196,f197,f198,f199,f202,f278,f284,f285,f286,f287,f138,f288,f289,f290,f291,f292,f293,f294,f295,f296,f192,f283,f279,f322,f323,f324,f325,f326,f200,f327,f328,f329,f330,f331,f332,f333,f334,f280,f338,f339,f201,f340,f341,f342,f343,f344,f345,f346,f347,f348,f349,f336,f205,f281,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f208,f366,f367,f368,f369,f364,f365,f282,f373,f374,f375,f376,f377,f378,f379,f380,f381,f382,f213,f396,f397,f398,f399,f400,f383,f384,f385,f386,f214,f431,f432,f433,f434,f435,f335,f472,f473,f474,f475,f476,f477,f478,f479,f480,f186,f481,f482,f483,f484,f485,f486,f487,f350,f506,f507,f508,f509,f510,f511,f512,f188,f513,f514,f515,f516,f517,f518,f519,f520,f521,f206,f547,f549,f551,f553,f337,f556,f557,f558,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f218,f569,f570,f571,f189,f623,f207,f659,f662,f209,f680,f681,f679,f682,f683,f684,f685,f686,f687,f688,f689,f353,f693,f696,f697,f698,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f215,f723,f726,f727,f728,f729,f730,f731,f732,f733,f734,f735,f736,f737,f738,f739,f740,f741,f709,f710,f711,f216,f774,f777,f778,f779,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f526,f795,f550,f802,f803,f807,f801,f810,f811,f812,f813,f814,f217,f847,f848,f851,f852,f853,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f815,f219,f926,f928,f937,f921,f930,f932,f934,f936,f224,f804,f1046,f1047,f1048,f1049,f1050,f1051,f226,f145,f1207,f146,f1241,f190,f1278,f221,f1435,f1440,f1441,f1443,f1445,f1446,f1448,f1450,f1451,f1452,f1453,f1454,f1455,f1456,f1457,f1459,f1461,f1462,f1464,f1466,f1467,f1468,f1469,f1470,f1471,f222,f1580,f1582,f1590,f1611,f1613]) ).
fof(f1613,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(subsumption_resolution,[],[f1612,f173]) ).
fof(f1612,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xR) ),
inference(subsumption_resolution,[],[f1571,f171]) ).
fof(f1571,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xS)
| ~ aScalar0(xR) ),
inference(superposition,[],[f222,f160]) ).
fof(f1611,plain,
sdtlseqdt0(sz0z00,xR),
inference(subsumption_resolution,[],[f1610,f161]) ).
fof(f1610,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xC) ),
inference(subsumption_resolution,[],[f1609,f157]) ).
fof(f1609,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xG)
| ~ aScalar0(xC) ),
inference(subsumption_resolution,[],[f1608,f272]) ).
fof(f1608,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ aScalar0(xG)
| ~ aScalar0(xC) ),
inference(subsumption_resolution,[],[f1562,f277]) ).
fof(f1562,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ aScalar0(xG)
| ~ aScalar0(xC) ),
inference(superposition,[],[f222,f174]) ).
fof(f1590,plain,
( sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xE) ),
inference(subsumption_resolution,[],[f1589,f165]) ).
fof(f1589,plain,
( sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xE)
| ~ aScalar0(xE) ),
inference(subsumption_resolution,[],[f1565,f155]) ).
fof(f1565,plain,
( sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xE)
| ~ aScalar0(xH)
| ~ aScalar0(xE) ),
inference(superposition,[],[f222,f176]) ).
fof(f1582,plain,
( sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,xA) ),
inference(subsumption_resolution,[],[f1581,f169]) ).
fof(f1581,plain,
( sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ aScalar0(xA) ),
inference(subsumption_resolution,[],[f1558,f167]) ).
fof(f1558,plain,
( sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ aScalar0(xB)
| ~ aScalar0(xA) ),
inference(superposition,[],[f222,f156]) ).
fof(f1580,plain,
! [X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(X1,X0)
| ~ sdtlseqdt0(sdtasdt0(X1,X0),sz0z00) ),
inference(subsumption_resolution,[],[f1579,f214]) ).
fof(f1579,plain,
! [X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(X1,X0)
| ~ sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sdtasdt0(X1,X0)) ),
inference(subsumption_resolution,[],[f1503,f179]) ).
fof(f1503,plain,
! [X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(X1,X0)
| ~ sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtasdt0(X1,X0)) ),
inference(resolution,[],[f222,f219]) ).
fof(f222,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f1471,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ aScalar0(smndt0(xN)) ),
inference(subsumption_resolution,[],[f1430,f159]) ).
fof(f1430,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ aScalar0(xN)
| ~ aScalar0(smndt0(xN)) ),
inference(superposition,[],[f221,f521]) ).
fof(f1470,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,smndt0(xS))
| ~ aScalar0(smndt0(xS)) ),
inference(subsumption_resolution,[],[f1428,f171]) ).
fof(f1428,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,smndt0(xS))
| ~ aScalar0(xS)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[],[f221,f520]) ).
fof(f1469,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ aScalar0(smndt0(xP)) ),
inference(subsumption_resolution,[],[f1426,f175]) ).
fof(f1426,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ aScalar0(xP)
| ~ aScalar0(smndt0(xP)) ),
inference(superposition,[],[f221,f519]) ).
fof(f1468,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,smndt0(xR))
| ~ aScalar0(smndt0(xR)) ),
inference(subsumption_resolution,[],[f1424,f173]) ).
fof(f1424,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,smndt0(xR))
| ~ aScalar0(xR)
| ~ aScalar0(smndt0(xR)) ),
inference(superposition,[],[f221,f518]) ).
fof(f1467,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,smndt0(xH))
| ~ aScalar0(smndt0(xH)) ),
inference(subsumption_resolution,[],[f1422,f155]) ).
fof(f1422,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,smndt0(xH))
| ~ aScalar0(xH)
| ~ aScalar0(smndt0(xH)) ),
inference(superposition,[],[f221,f517]) ).
fof(f1466,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xG))
| ~ aScalar0(smndt0(xG)) ),
inference(subsumption_resolution,[],[f1465,f157]) ).
fof(f1465,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xG))
| ~ aScalar0(xG)
| ~ aScalar0(smndt0(xG)) ),
inference(subsumption_resolution,[],[f1420,f277]) ).
fof(f1420,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(sz0z00,smndt0(xG))
| ~ aScalar0(xG)
| ~ aScalar0(smndt0(xG)) ),
inference(superposition,[],[f221,f516]) ).
fof(f1464,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xF))
| ~ aScalar0(smndt0(xF)) ),
inference(subsumption_resolution,[],[f1463,f153]) ).
fof(f1463,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xF))
| ~ aScalar0(xF)
| ~ aScalar0(smndt0(xF)) ),
inference(subsumption_resolution,[],[f1415,f276]) ).
fof(f1415,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ sdtlseqdt0(sz0z00,smndt0(xF))
| ~ aScalar0(xF)
| ~ aScalar0(smndt0(xF)) ),
inference(superposition,[],[f221,f515]) ).
fof(f1462,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xE)
| ~ sdtlseqdt0(sz0z00,smndt0(xE))
| ~ aScalar0(smndt0(xE)) ),
inference(subsumption_resolution,[],[f1406,f165]) ).
fof(f1406,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xE)
| ~ sdtlseqdt0(sz0z00,smndt0(xE))
| ~ aScalar0(xE)
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[],[f221,f514]) ).
fof(f1461,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xD))
| ~ aScalar0(smndt0(xD)) ),
inference(subsumption_resolution,[],[f1460,f163]) ).
fof(f1460,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xD))
| ~ aScalar0(xD)
| ~ aScalar0(smndt0(xD)) ),
inference(subsumption_resolution,[],[f1394,f273]) ).
fof(f1394,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ sdtlseqdt0(sz0z00,smndt0(xD))
| ~ aScalar0(xD)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[],[f221,f513]) ).
fof(f1459,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xC))
| ~ aScalar0(smndt0(xC)) ),
inference(subsumption_resolution,[],[f1458,f161]) ).
fof(f1458,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xC))
| ~ aScalar0(xC)
| ~ aScalar0(smndt0(xC)) ),
inference(subsumption_resolution,[],[f1381,f272]) ).
fof(f1381,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ sdtlseqdt0(sz0z00,smndt0(xC))
| ~ aScalar0(xC)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[],[f221,f512]) ).
fof(f1457,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,smndt0(xB))
| ~ aScalar0(smndt0(xB)) ),
inference(subsumption_resolution,[],[f1367,f167]) ).
fof(f1367,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,smndt0(xB))
| ~ aScalar0(xB)
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[],[f221,f511]) ).
fof(f1456,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ sdtlseqdt0(sz0z00,smndt0(xA))
| ~ aScalar0(smndt0(xA)) ),
inference(subsumption_resolution,[],[f1352,f169]) ).
fof(f1352,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ sdtlseqdt0(sz0z00,smndt0(xA))
| ~ aScalar0(xA)
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[],[f221,f510]) ).
fof(f1455,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(sz0z00,xN)
| ~ aScalar0(smndt0(xN)) ),
inference(subsumption_resolution,[],[f1348,f159]) ).
fof(f1348,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(sz0z00,xN)
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(xN) ),
inference(superposition,[],[f221,f487]) ).
fof(f1454,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xS))
| ~ sdtlseqdt0(sz0z00,xS)
| ~ aScalar0(smndt0(xS)) ),
inference(subsumption_resolution,[],[f1347,f171]) ).
fof(f1347,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xS))
| ~ sdtlseqdt0(sz0z00,xS)
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(xS) ),
inference(superposition,[],[f221,f486]) ).
fof(f1453,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(smndt0(xP)) ),
inference(subsumption_resolution,[],[f1346,f175]) ).
fof(f1346,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(xP) ),
inference(superposition,[],[f221,f485]) ).
fof(f1452,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xR))
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(smndt0(xR)) ),
inference(subsumption_resolution,[],[f1345,f173]) ).
fof(f1345,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xR))
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(xR) ),
inference(superposition,[],[f221,f484]) ).
fof(f1451,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xH))
| ~ sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(smndt0(xH)) ),
inference(subsumption_resolution,[],[f1344,f155]) ).
fof(f1344,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xH))
| ~ sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(xH) ),
inference(superposition,[],[f221,f483]) ).
fof(f1450,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xG))
| ~ aScalar0(smndt0(xG)) ),
inference(subsumption_resolution,[],[f1449,f157]) ).
fof(f1449,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xG))
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(xG) ),
inference(subsumption_resolution,[],[f1343,f277]) ).
fof(f1343,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xG))
| ~ sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(xG) ),
inference(superposition,[],[f221,f482]) ).
fof(f1448,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xF))
| ~ aScalar0(smndt0(xF)) ),
inference(subsumption_resolution,[],[f1447,f153]) ).
fof(f1447,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xF))
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(xF) ),
inference(subsumption_resolution,[],[f1342,f276]) ).
fof(f1342,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xF))
| ~ sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(xF) ),
inference(superposition,[],[f221,f481]) ).
fof(f1446,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xE))
| ~ sdtlseqdt0(sz0z00,xE)
| ~ aScalar0(smndt0(xE)) ),
inference(subsumption_resolution,[],[f1341,f165]) ).
fof(f1341,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xE))
| ~ sdtlseqdt0(sz0z00,xE)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(xE) ),
inference(superposition,[],[f221,f480]) ).
fof(f1445,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xD))
| ~ aScalar0(smndt0(xD)) ),
inference(subsumption_resolution,[],[f1444,f163]) ).
fof(f1444,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xD))
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(xD) ),
inference(subsumption_resolution,[],[f1340,f273]) ).
fof(f1340,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xD))
| ~ sdtlseqdt0(sz0z00,xD)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(xD) ),
inference(superposition,[],[f221,f479]) ).
fof(f1443,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xC))
| ~ aScalar0(smndt0(xC)) ),
inference(subsumption_resolution,[],[f1442,f161]) ).
fof(f1442,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xC))
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(xC) ),
inference(subsumption_resolution,[],[f1339,f272]) ).
fof(f1339,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xC))
| ~ sdtlseqdt0(sz0z00,xC)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(xC) ),
inference(superposition,[],[f221,f478]) ).
fof(f1441,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xB))
| ~ sdtlseqdt0(sz0z00,xB)
| ~ aScalar0(smndt0(xB)) ),
inference(subsumption_resolution,[],[f1338,f167]) ).
fof(f1338,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xB))
| ~ sdtlseqdt0(sz0z00,xB)
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(xB) ),
inference(superposition,[],[f221,f477]) ).
fof(f1440,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xA))
| ~ sdtlseqdt0(sz0z00,xA)
| ~ aScalar0(smndt0(xA)) ),
inference(subsumption_resolution,[],[f1337,f169]) ).
fof(f1337,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xA))
| ~ sdtlseqdt0(sz0z00,xA)
| ~ aScalar0(smndt0(xA))
| ~ aScalar0(xA) ),
inference(superposition,[],[f221,f476]) ).
fof(f1435,plain,
! [X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtpldt0(X1,X0)
| ~ sdtlseqdt0(sdtpldt0(X1,X0),sz0z00) ),
inference(subsumption_resolution,[],[f1434,f213]) ).
fof(f1434,plain,
! [X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtpldt0(X1,X0)
| ~ sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(sdtpldt0(X1,X0)) ),
inference(subsumption_resolution,[],[f1315,f179]) ).
fof(f1315,plain,
! [X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtpldt0(X1,X0)
| ~ sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(X1,X0)) ),
inference(resolution,[],[f221,f219]) ).
fof(f1278,plain,
! [X0] :
( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(xs))
| aNaturalNumber0(sK3(X0,xt))
| sP0(X0,xt) ),
inference(subsumption_resolution,[],[f1275,f152]) ).
fof(f1275,plain,
! [X0] :
( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(xs))
| aNaturalNumber0(sK3(X0,xt))
| sP0(X0,xt)
| ~ aVector0(xt) ),
inference(superposition,[],[f190,f140]) ).
fof(f190,plain,
! [X0,X1] :
( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| aNaturalNumber0(sK3(X0,X1))
| sP0(X0,X1)
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,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])],[f132,f133]) ).
fof(f133,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(f132,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,[],[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(flattening,[],[f130]) ).
fof(f130,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,[],[f124]) ).
fof(f124,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(f1241,plain,
( sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)) = sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))) ),
inference(resolution,[],[f146,f219]) ).
fof(f146,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(f1207,plain,
( sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)) = sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
inference(resolution,[],[f145,f219]) ).
fof(f145,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(f226,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[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(flattening,[],[f112]) ).
fof(f112,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(f1051,plain,
( sz00 != szszuzczcdt0(aDimensionOf0(xs))
| ~ aNaturalNumber0(sK4(sz00)) ),
inference(inner_rewriting,[],[f1048]) ).
fof(f1050,plain,
( aNaturalNumber0(szszuzczcdt0(aDimensionOf0(xs)))
| ~ aNaturalNumber0(sK4(szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(superposition,[],[f181,f804]) ).
fof(f1049,plain,
( iLess0(sK4(szszuzczcdt0(aDimensionOf0(xs))),szszuzczcdt0(aDimensionOf0(xs)))
| ~ aNaturalNumber0(sK4(szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(superposition,[],[f180,f804]) ).
fof(f1048,plain,
( sz00 != szszuzczcdt0(aDimensionOf0(xs))
| ~ aNaturalNumber0(sK4(szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(superposition,[],[f182,f804]) ).
fof(f1047,plain,
! [X0] :
( szszuzczcdt0(X0) != szszuzczcdt0(aDimensionOf0(xs))
| sK4(szszuzczcdt0(aDimensionOf0(xs))) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(superposition,[],[f207,f804]) ).
fof(f1046,plain,
! [X0] :
( szszuzczcdt0(X0) != szszuzczcdt0(aDimensionOf0(xs))
| sK4(szszuzczcdt0(aDimensionOf0(xs))) = X0
| ~ aNaturalNumber0(sK4(szszuzczcdt0(aDimensionOf0(xs))))
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f207,f804]) ).
fof(f804,plain,
szszuzczcdt0(aDimensionOf0(xs)) = szszuzczcdt0(sK4(szszuzczcdt0(aDimensionOf0(xs)))),
inference(resolution,[],[f550,f236]) ).
fof(f224,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f936,plain,
( sz0z00 = xG
| ~ sdtlseqdt0(xG,sz0z00) ),
inference(subsumption_resolution,[],[f935,f157]) ).
fof(f935,plain,
( sz0z00 = xG
| ~ sdtlseqdt0(xG,sz0z00)
| ~ aScalar0(xG) ),
inference(subsumption_resolution,[],[f917,f179]) ).
fof(f917,plain,
( sz0z00 = xG
| ~ sdtlseqdt0(xG,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xG) ),
inference(resolution,[],[f219,f277]) ).
fof(f934,plain,
( sz0z00 = xF
| ~ sdtlseqdt0(xF,sz0z00) ),
inference(subsumption_resolution,[],[f933,f153]) ).
fof(f933,plain,
( sz0z00 = xF
| ~ sdtlseqdt0(xF,sz0z00)
| ~ aScalar0(xF) ),
inference(subsumption_resolution,[],[f916,f179]) ).
fof(f916,plain,
( sz0z00 = xF
| ~ sdtlseqdt0(xF,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xF) ),
inference(resolution,[],[f219,f276]) ).
fof(f932,plain,
( sz0z00 = xD
| ~ sdtlseqdt0(xD,sz0z00) ),
inference(subsumption_resolution,[],[f931,f163]) ).
fof(f931,plain,
( sz0z00 = xD
| ~ sdtlseqdt0(xD,sz0z00)
| ~ aScalar0(xD) ),
inference(subsumption_resolution,[],[f915,f179]) ).
fof(f915,plain,
( sz0z00 = xD
| ~ sdtlseqdt0(xD,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xD) ),
inference(resolution,[],[f219,f273]) ).
fof(f930,plain,
( sz0z00 = xC
| ~ sdtlseqdt0(xC,sz0z00) ),
inference(subsumption_resolution,[],[f929,f161]) ).
fof(f929,plain,
( sz0z00 = xC
| ~ sdtlseqdt0(xC,sz0z00)
| ~ aScalar0(xC) ),
inference(subsumption_resolution,[],[f914,f179]) ).
fof(f914,plain,
( sz0z00 = xC
| ~ sdtlseqdt0(xC,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xC) ),
inference(resolution,[],[f219,f272]) ).
fof(f921,plain,
( sdtasdt0(xE,xE) = sdtasdt0(xC,xD)
| ~ sdtlseqdt0(sdtasdt0(xC,xD),sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD)) ),
inference(resolution,[],[f219,f144]) ).
fof(f937,plain,
( xN = sdtasdt0(xP,xP)
| ~ sdtlseqdt0(xN,sdtasdt0(xP,xP))
| ~ aScalar0(sdtasdt0(xP,xP)) ),
inference(subsumption_resolution,[],[f920,f159]) ).
fof(f920,plain,
( xN = sdtasdt0(xP,xP)
| ~ sdtlseqdt0(xN,sdtasdt0(xP,xP))
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(xN) ),
inference(resolution,[],[f219,f141]) ).
fof(f928,plain,
! [X0] :
( sz0z00 = sdtasasdt0(X0,X0)
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),sz0z00)
| ~ aVector0(X0) ),
inference(subsumption_resolution,[],[f927,f679]) ).
fof(f927,plain,
! [X0] :
( sz0z00 = sdtasasdt0(X0,X0)
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),sz0z00)
| ~ aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(subsumption_resolution,[],[f913,f179]) ).
fof(f913,plain,
! [X0] :
( sz0z00 = sdtasasdt0(X0,X0)
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(resolution,[],[f219,f184]) ).
fof(f926,plain,
! [X0] :
( sz0z00 = sdtasdt0(X0,X0)
| ~ sdtlseqdt0(sdtasdt0(X0,X0),sz0z00)
| ~ aScalar0(X0) ),
inference(subsumption_resolution,[],[f925,f214]) ).
fof(f925,plain,
! [X0] :
( sz0z00 = sdtasdt0(X0,X0)
| ~ sdtlseqdt0(sdtasdt0(X0,X0),sz0z00)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(subsumption_resolution,[],[f912,f179]) ).
fof(f912,plain,
! [X0] :
( sz0z00 = sdtasdt0(X0,X0)
| ~ sdtlseqdt0(sdtasdt0(X0,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(resolution,[],[f219,f195]) ).
fof(f815,plain,
( sz00 != szszuzczcdt0(sz00)
| ~ aNaturalNumber0(sK4(sz00)) ),
inference(inner_rewriting,[],[f812]) ).
fof(f866,plain,
! [X0] :
( smndt0(sdtasdt0(X0,xN)) = sdtasdt0(smndt0(X0),xN)
| ~ aScalar0(X0) ),
inference(resolution,[],[f217,f159]) ).
fof(f865,plain,
! [X0] :
( smndt0(sdtasdt0(X0,xS)) = sdtasdt0(smndt0(X0),xS)
| ~ aScalar0(X0) ),
inference(resolution,[],[f217,f171]) ).
fof(f864,plain,
! [X0] :
( smndt0(sdtasdt0(X0,xP)) = sdtasdt0(smndt0(X0),xP)
| ~ aScalar0(X0) ),
inference(resolution,[],[f217,f175]) ).
fof(f863,plain,
! [X0] :
( smndt0(sdtasdt0(X0,xR)) = sdtasdt0(smndt0(X0),xR)
| ~ aScalar0(X0) ),
inference(resolution,[],[f217,f173]) ).
fof(f862,plain,
! [X0] :
( smndt0(sdtasdt0(X0,xH)) = sdtasdt0(smndt0(X0),xH)
| ~ aScalar0(X0) ),
inference(resolution,[],[f217,f155]) ).
fof(f861,plain,
! [X0] :
( smndt0(sdtasdt0(X0,xG)) = sdtasdt0(smndt0(X0),xG)
| ~ aScalar0(X0) ),
inference(resolution,[],[f217,f157]) ).
fof(f860,plain,
! [X0] :
( smndt0(sdtasdt0(X0,xF)) = sdtasdt0(smndt0(X0),xF)
| ~ aScalar0(X0) ),
inference(resolution,[],[f217,f153]) ).
fof(f859,plain,
! [X0] :
( smndt0(sdtasdt0(X0,xE)) = sdtasdt0(smndt0(X0),xE)
| ~ aScalar0(X0) ),
inference(resolution,[],[f217,f165]) ).
fof(f858,plain,
! [X0] :
( smndt0(sdtasdt0(X0,xD)) = sdtasdt0(smndt0(X0),xD)
| ~ aScalar0(X0) ),
inference(resolution,[],[f217,f163]) ).
fof(f857,plain,
! [X0] :
( smndt0(sdtasdt0(X0,xC)) = sdtasdt0(smndt0(X0),xC)
| ~ aScalar0(X0) ),
inference(resolution,[],[f217,f161]) ).
fof(f856,plain,
! [X0] :
( smndt0(sdtasdt0(X0,xB)) = sdtasdt0(smndt0(X0),xB)
| ~ aScalar0(X0) ),
inference(resolution,[],[f217,f167]) ).
fof(f855,plain,
! [X0] :
( smndt0(sdtasdt0(X0,xA)) = sdtasdt0(smndt0(X0),xA)
| ~ aScalar0(X0) ),
inference(resolution,[],[f217,f169]) ).
fof(f854,plain,
! [X0,X1] :
( smndt0(sdtasdt0(X0,sdtasasdt0(X1,X1))) = sdtasdt0(smndt0(X0),sdtasasdt0(X1,X1))
| ~ aScalar0(X0)
| ~ aVector0(X1) ),
inference(resolution,[],[f217,f679]) ).
fof(f853,plain,
! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtlbdtrb0(X1,X2))) = sdtasdt0(smndt0(X0),sdtlbdtrb0(X1,X2))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
inference(resolution,[],[f217,f208]) ).
fof(f852,plain,
! [X0,X1] :
( sdtasdt0(smndt0(X0),smndt0(X1)) = smndt0(sdtasdt0(X0,smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(resolution,[],[f217,f193]) ).
fof(f851,plain,
! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtasdt0(X1,X2))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(resolution,[],[f217,f214]) ).
fof(f848,plain,
! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtpldt0(X1,X2))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(resolution,[],[f217,f213]) ).
fof(f847,plain,
! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ),
inference(resolution,[],[f217,f179]) ).
fof(f217,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[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(flattening,[],[f102]) ).
fof(f102,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(f814,plain,
( aNaturalNumber0(szszuzczcdt0(sz00))
| ~ aNaturalNumber0(sK4(szszuzczcdt0(sz00))) ),
inference(superposition,[],[f181,f801]) ).
fof(f813,plain,
( iLess0(sK4(szszuzczcdt0(sz00)),szszuzczcdt0(sz00))
| ~ aNaturalNumber0(sK4(szszuzczcdt0(sz00))) ),
inference(superposition,[],[f180,f801]) ).
fof(f812,plain,
( sz00 != szszuzczcdt0(sz00)
| ~ aNaturalNumber0(sK4(szszuzczcdt0(sz00))) ),
inference(superposition,[],[f182,f801]) ).
fof(f811,plain,
! [X0] :
( szszuzczcdt0(X0) != szszuzczcdt0(sz00)
| sK4(szszuzczcdt0(sz00)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(szszuzczcdt0(sz00))) ),
inference(superposition,[],[f207,f801]) ).
fof(f810,plain,
! [X0] :
( szszuzczcdt0(X0) != szszuzczcdt0(sz00)
| sK4(szszuzczcdt0(sz00)) = X0
| ~ aNaturalNumber0(sK4(szszuzczcdt0(sz00)))
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f207,f801]) ).
fof(f801,plain,
szszuzczcdt0(sz00) = szszuzczcdt0(sK4(szszuzczcdt0(sz00))),
inference(resolution,[],[f550,f178]) ).
fof(f807,plain,
! [X0] :
( szszuzczcdt0(sK4(X0)) = szszuzczcdt0(sK4(szszuzczcdt0(sK4(X0))))
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f550,f205]) ).
fof(f803,plain,
! [X0] :
( szszuzczcdt0(aDimensionOf0(X0)) = szszuzczcdt0(sK4(szszuzczcdt0(aDimensionOf0(X0))))
| ~ aVector0(X0) ),
inference(resolution,[],[f550,f183]) ).
fof(f802,plain,
! [X0] :
( szszuzczcdt0(szszuzczcdt0(X0)) = szszuzczcdt0(sK4(szszuzczcdt0(szszuzczcdt0(X0))))
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f550,f181]) ).
fof(f550,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK4(szszuzczcdt0(X0))) ),
inference(subsumption_resolution,[],[f546,f182]) ).
fof(f546,plain,
! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK4(szszuzczcdt0(X0)))
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f206,f181]) ).
fof(f795,plain,
! [X0] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0)))
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(resolution,[],[f526,f192]) ).
fof(f526,plain,
! [X0] :
( ~ sP1(X0)
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0))) ),
inference(resolution,[],[f188,f233]) ).
fof(f792,plain,
! [X0] :
( sdtasdt0(X0,smndt0(xN)) = smndt0(sdtasdt0(X0,xN))
| ~ aScalar0(X0) ),
inference(resolution,[],[f216,f159]) ).
fof(f791,plain,
! [X0] :
( sdtasdt0(X0,smndt0(xS)) = smndt0(sdtasdt0(X0,xS))
| ~ aScalar0(X0) ),
inference(resolution,[],[f216,f171]) ).
fof(f790,plain,
! [X0] :
( sdtasdt0(X0,smndt0(xP)) = smndt0(sdtasdt0(X0,xP))
| ~ aScalar0(X0) ),
inference(resolution,[],[f216,f175]) ).
fof(f789,plain,
! [X0] :
( sdtasdt0(X0,smndt0(xR)) = smndt0(sdtasdt0(X0,xR))
| ~ aScalar0(X0) ),
inference(resolution,[],[f216,f173]) ).
fof(f788,plain,
! [X0] :
( sdtasdt0(X0,smndt0(xH)) = smndt0(sdtasdt0(X0,xH))
| ~ aScalar0(X0) ),
inference(resolution,[],[f216,f155]) ).
fof(f787,plain,
! [X0] :
( sdtasdt0(X0,smndt0(xG)) = smndt0(sdtasdt0(X0,xG))
| ~ aScalar0(X0) ),
inference(resolution,[],[f216,f157]) ).
fof(f786,plain,
! [X0] :
( sdtasdt0(X0,smndt0(xF)) = smndt0(sdtasdt0(X0,xF))
| ~ aScalar0(X0) ),
inference(resolution,[],[f216,f153]) ).
fof(f785,plain,
! [X0] :
( sdtasdt0(X0,smndt0(xE)) = smndt0(sdtasdt0(X0,xE))
| ~ aScalar0(X0) ),
inference(resolution,[],[f216,f165]) ).
fof(f784,plain,
! [X0] :
( sdtasdt0(X0,smndt0(xD)) = smndt0(sdtasdt0(X0,xD))
| ~ aScalar0(X0) ),
inference(resolution,[],[f216,f163]) ).
fof(f783,plain,
! [X0] :
( sdtasdt0(X0,smndt0(xC)) = smndt0(sdtasdt0(X0,xC))
| ~ aScalar0(X0) ),
inference(resolution,[],[f216,f161]) ).
fof(f782,plain,
! [X0] :
( sdtasdt0(X0,smndt0(xB)) = smndt0(sdtasdt0(X0,xB))
| ~ aScalar0(X0) ),
inference(resolution,[],[f216,f167]) ).
fof(f781,plain,
! [X0] :
( sdtasdt0(X0,smndt0(xA)) = smndt0(sdtasdt0(X0,xA))
| ~ aScalar0(X0) ),
inference(resolution,[],[f216,f169]) ).
fof(f780,plain,
! [X0,X1] :
( sdtasdt0(X0,smndt0(sdtasasdt0(X1,X1))) = smndt0(sdtasdt0(X0,sdtasasdt0(X1,X1)))
| ~ aScalar0(X0)
| ~ aVector0(X1) ),
inference(resolution,[],[f216,f679]) ).
fof(f779,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtlbdtrb0(X1,X2))) = smndt0(sdtasdt0(X0,sdtlbdtrb0(X1,X2)))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
inference(resolution,[],[f216,f208]) ).
fof(f778,plain,
! [X0,X1] :
( sdtasdt0(X0,smndt0(smndt0(X1))) = smndt0(sdtasdt0(X0,smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(resolution,[],[f216,f193]) ).
fof(f777,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtasdt0(X1,X2))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(resolution,[],[f216,f214]) ).
fof(f774,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtpldt0(X1,X2))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(resolution,[],[f216,f213]) ).
fof(f216,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f711,plain,
sz0z00 = sdtasdt0(sz0z00,smndt0(xN)),
inference(resolution,[],[f353,f159]) ).
fof(f710,plain,
sz0z00 = sdtasdt0(sz0z00,smndt0(xS)),
inference(resolution,[],[f353,f171]) ).
fof(f709,plain,
sz0z00 = sdtasdt0(sz0z00,smndt0(xP)),
inference(resolution,[],[f353,f175]) ).
fof(f741,plain,
! [X0] :
( sdtasdt0(X0,xN) = sdtasdt0(smndt0(X0),smndt0(xN))
| ~ aScalar0(X0) ),
inference(resolution,[],[f215,f159]) ).
fof(f740,plain,
! [X0] :
( sdtasdt0(X0,xS) = sdtasdt0(smndt0(X0),smndt0(xS))
| ~ aScalar0(X0) ),
inference(resolution,[],[f215,f171]) ).
fof(f739,plain,
! [X0] :
( sdtasdt0(X0,xP) = sdtasdt0(smndt0(X0),smndt0(xP))
| ~ aScalar0(X0) ),
inference(resolution,[],[f215,f175]) ).
fof(f738,plain,
! [X0] :
( sdtasdt0(X0,xR) = sdtasdt0(smndt0(X0),smndt0(xR))
| ~ aScalar0(X0) ),
inference(resolution,[],[f215,f173]) ).
fof(f737,plain,
! [X0] :
( sdtasdt0(X0,xH) = sdtasdt0(smndt0(X0),smndt0(xH))
| ~ aScalar0(X0) ),
inference(resolution,[],[f215,f155]) ).
fof(f736,plain,
! [X0] :
( sdtasdt0(X0,xG) = sdtasdt0(smndt0(X0),smndt0(xG))
| ~ aScalar0(X0) ),
inference(resolution,[],[f215,f157]) ).
fof(f735,plain,
! [X0] :
( sdtasdt0(X0,xF) = sdtasdt0(smndt0(X0),smndt0(xF))
| ~ aScalar0(X0) ),
inference(resolution,[],[f215,f153]) ).
fof(f734,plain,
! [X0] :
( sdtasdt0(X0,xE) = sdtasdt0(smndt0(X0),smndt0(xE))
| ~ aScalar0(X0) ),
inference(resolution,[],[f215,f165]) ).
fof(f733,plain,
! [X0] :
( sdtasdt0(X0,xD) = sdtasdt0(smndt0(X0),smndt0(xD))
| ~ aScalar0(X0) ),
inference(resolution,[],[f215,f163]) ).
fof(f732,plain,
! [X0] :
( sdtasdt0(X0,xC) = sdtasdt0(smndt0(X0),smndt0(xC))
| ~ aScalar0(X0) ),
inference(resolution,[],[f215,f161]) ).
fof(f731,plain,
! [X0] :
( sdtasdt0(X0,xB) = sdtasdt0(smndt0(X0),smndt0(xB))
| ~ aScalar0(X0) ),
inference(resolution,[],[f215,f167]) ).
fof(f730,plain,
! [X0] :
( sdtasdt0(X0,xA) = sdtasdt0(smndt0(X0),smndt0(xA))
| ~ aScalar0(X0) ),
inference(resolution,[],[f215,f169]) ).
fof(f729,plain,
! [X0,X1] :
( sdtasdt0(X0,sdtasasdt0(X1,X1)) = sdtasdt0(smndt0(X0),smndt0(sdtasasdt0(X1,X1)))
| ~ aScalar0(X0)
| ~ aVector0(X1) ),
inference(resolution,[],[f215,f679]) ).
fof(f728,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtlbdtrb0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtlbdtrb0(X1,X2)))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
inference(resolution,[],[f215,f208]) ).
fof(f727,plain,
! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X0),smndt0(smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(resolution,[],[f215,f193]) ).
fof(f726,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(resolution,[],[f215,f214]) ).
fof(f723,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(resolution,[],[f215,f213]) ).
fof(f215,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,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(f708,plain,
sz0z00 = sdtasdt0(sz0z00,smndt0(xR)),
inference(resolution,[],[f353,f173]) ).
fof(f707,plain,
sz0z00 = sdtasdt0(sz0z00,smndt0(xH)),
inference(resolution,[],[f353,f155]) ).
fof(f706,plain,
sz0z00 = sdtasdt0(sz0z00,smndt0(xG)),
inference(resolution,[],[f353,f157]) ).
fof(f705,plain,
sz0z00 = sdtasdt0(sz0z00,smndt0(xF)),
inference(resolution,[],[f353,f153]) ).
fof(f704,plain,
sz0z00 = sdtasdt0(sz0z00,smndt0(xE)),
inference(resolution,[],[f353,f165]) ).
fof(f703,plain,
sz0z00 = sdtasdt0(sz0z00,smndt0(xD)),
inference(resolution,[],[f353,f163]) ).
fof(f702,plain,
sz0z00 = sdtasdt0(sz0z00,smndt0(xC)),
inference(resolution,[],[f353,f161]) ).
fof(f701,plain,
sz0z00 = sdtasdt0(sz0z00,smndt0(xB)),
inference(resolution,[],[f353,f167]) ).
fof(f700,plain,
sz0z00 = sdtasdt0(sz0z00,smndt0(xA)),
inference(resolution,[],[f353,f169]) ).
fof(f699,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasasdt0(X0,X0)))
| ~ aVector0(X0) ),
inference(resolution,[],[f353,f679]) ).
fof(f698,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f353,f208]) ).
fof(f697,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(X0)))
| ~ aScalar0(X0) ),
inference(resolution,[],[f353,f193]) ).
fof(f696,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasdt0(X0,X1)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f353,f214]) ).
fof(f693,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtpldt0(X0,X1)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f353,f213]) ).
fof(f353,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,smndt0(X0)) ),
inference(resolution,[],[f281,f193]) ).
fof(f689,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtpldt0(smndt0(sdtasasdt0(X0,X0)),sdtasasdt0(X0,X0)) ),
inference(resolution,[],[f679,f350]) ).
fof(f688,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(smndt0(sdtasasdt0(X0,X0)),sz0z00) ),
inference(resolution,[],[f679,f337]) ).
fof(f687,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtpldt0(sdtasasdt0(X0,X0),smndt0(sdtasasdt0(X0,X0))) ),
inference(resolution,[],[f679,f335]) ).
fof(f686,plain,
! [X0] :
( ~ aVector0(X0)
| sdtasasdt0(X0,X0) = smndt0(smndt0(sdtasasdt0(X0,X0))) ),
inference(resolution,[],[f679,f282]) ).
fof(f685,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasasdt0(X0,X0)) ),
inference(resolution,[],[f679,f281]) ).
fof(f684,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sdtasasdt0(X0,X0),sz0z00) ),
inference(resolution,[],[f679,f280]) ).
fof(f683,plain,
! [X0] :
( ~ aVector0(X0)
| sdtasasdt0(X0,X0) = sdtpldt0(sz0z00,sdtasasdt0(X0,X0)) ),
inference(resolution,[],[f679,f279]) ).
fof(f682,plain,
! [X0] :
( ~ aVector0(X0)
| sdtasasdt0(X0,X0) = sdtpldt0(sdtasasdt0(X0,X0),sz0z00) ),
inference(resolution,[],[f679,f278]) ).
fof(f679,plain,
! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(duplicate_literal_removal,[],[f678]) ).
fof(f678,plain,
! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0)
| ~ aVector0(X0) ),
inference(equality_resolution,[],[f209]) ).
fof(f681,plain,
! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xs)
| aScalar0(sdtasasdt0(X0,xt))
| ~ aVector0(X0) ),
inference(subsumption_resolution,[],[f677,f152]) ).
fof(f677,plain,
! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xs)
| aScalar0(sdtasasdt0(X0,xt))
| ~ aVector0(xt)
| ~ aVector0(X0) ),
inference(superposition,[],[f209,f140]) ).
fof(f680,plain,
! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xs)
| aScalar0(sdtasasdt0(xt,X0))
| ~ aVector0(X0) ),
inference(subsumption_resolution,[],[f676,f152]) ).
fof(f676,plain,
! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xs)
| aScalar0(sdtasasdt0(xt,X0))
| ~ aVector0(X0)
| ~ aVector0(xt) ),
inference(superposition,[],[f209,f140]) ).
fof(f209,plain,
! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1))
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f88]) ).
fof(f88,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(f662,plain,
! [X0] :
( szszuzczcdt0(X0) != aDimensionOf0(xs)
| sK4(aDimensionOf0(xs)) = X0
| ~ aNaturalNumber0(sK4(aDimensionOf0(xs)))
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f207,f551]) ).
fof(f659,plain,
! [X0] :
( szszuzczcdt0(X0) != aDimensionOf0(xs)
| sK4(aDimensionOf0(xs)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(aDimensionOf0(xs))) ),
inference(superposition,[],[f207,f551]) ).
fof(f207,plain,
! [X0,X1] :
( szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,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(f623,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(X1,X0) = sdtlbdtrb0(sziznziztdt0(X1),X0)
| ~ sP1(X1) ),
inference(resolution,[],[f189,f233]) ).
fof(f189,plain,
! [X3,X0,X1] :
( ~ sP0(X0,X1)
| ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3) ),
inference(cnf_transformation,[],[f134]) ).
fof(f571,plain,
sz0z00 = sdtasdt0(smndt0(xN),sz0z00),
inference(resolution,[],[f337,f159]) ).
fof(f570,plain,
sz0z00 = sdtasdt0(smndt0(xS),sz0z00),
inference(resolution,[],[f337,f171]) ).
fof(f569,plain,
sz0z00 = sdtasdt0(smndt0(xP),sz0z00),
inference(resolution,[],[f337,f175]) ).
fof(f568,plain,
sz0z00 = sdtasdt0(smndt0(xR),sz0z00),
inference(resolution,[],[f337,f173]) ).
fof(f567,plain,
sz0z00 = sdtasdt0(smndt0(xH),sz0z00),
inference(resolution,[],[f337,f155]) ).
fof(f566,plain,
sz0z00 = sdtasdt0(smndt0(xG),sz0z00),
inference(resolution,[],[f337,f157]) ).
fof(f565,plain,
sz0z00 = sdtasdt0(smndt0(xF),sz0z00),
inference(resolution,[],[f337,f153]) ).
fof(f564,plain,
sz0z00 = sdtasdt0(smndt0(xE),sz0z00),
inference(resolution,[],[f337,f165]) ).
fof(f563,plain,
sz0z00 = sdtasdt0(smndt0(xD),sz0z00),
inference(resolution,[],[f337,f163]) ).
fof(f562,plain,
sz0z00 = sdtasdt0(smndt0(xC),sz0z00),
inference(resolution,[],[f337,f161]) ).
fof(f561,plain,
sz0z00 = sdtasdt0(smndt0(xB),sz0z00),
inference(resolution,[],[f337,f167]) ).
fof(f560,plain,
sz0z00 = sdtasdt0(smndt0(xA),sz0z00),
inference(resolution,[],[f337,f169]) ).
fof(f559,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(smndt0(sdtlbdtrb0(X0,X1)),sz0z00)
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f337,f208]) ).
fof(f558,plain,
! [X0] :
( sz0z00 = sdtasdt0(smndt0(smndt0(X0)),sz0z00)
| ~ aScalar0(X0) ),
inference(resolution,[],[f337,f193]) ).
fof(f557,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(smndt0(sdtasdt0(X0,X1)),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f337,f214]) ).
fof(f556,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(smndt0(sdtpldt0(X0,X1)),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f337,f213]) ).
fof(f337,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(smndt0(X0),sz0z00) ),
inference(resolution,[],[f280,f193]) ).
fof(f553,plain,
( iLess0(sK4(aDimensionOf0(xs)),aDimensionOf0(xs))
| ~ aNaturalNumber0(sK4(aDimensionOf0(xs))) ),
inference(superposition,[],[f180,f551]) ).
fof(f551,plain,
aDimensionOf0(xs) = szszuzczcdt0(sK4(aDimensionOf0(xs))),
inference(subsumption_resolution,[],[f548,f139]) ).
fof(f548,plain,
( sz00 = aDimensionOf0(xs)
| aDimensionOf0(xs) = szszuzczcdt0(sK4(aDimensionOf0(xs))) ),
inference(resolution,[],[f206,f236]) ).
fof(f549,plain,
! [X0] :
( sz00 = sK4(X0)
| sK4(X0) = szszuzczcdt0(sK4(sK4(X0)))
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f206,f205]) ).
fof(f547,plain,
! [X0] :
( sz00 = aDimensionOf0(X0)
| aDimensionOf0(X0) = szszuzczcdt0(sK4(aDimensionOf0(X0)))
| ~ aVector0(X0) ),
inference(resolution,[],[f206,f183]) ).
fof(f206,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| szszuzczcdt0(sK4(X0)) = X0 ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ( szszuzczcdt0(sK4(X0)) = X0
& aNaturalNumber0(sK4(X0)) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f83,f136]) ).
fof(f136,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) )
=> ( szszuzczcdt0(sK4(X0)) = X0
& aNaturalNumber0(sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,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(f521,plain,
sz0z00 = sdtpldt0(smndt0(xN),xN),
inference(resolution,[],[f350,f159]) ).
fof(f520,plain,
sz0z00 = sdtpldt0(smndt0(xS),xS),
inference(resolution,[],[f350,f171]) ).
fof(f519,plain,
sz0z00 = sdtpldt0(smndt0(xP),xP),
inference(resolution,[],[f350,f175]) ).
fof(f518,plain,
sz0z00 = sdtpldt0(smndt0(xR),xR),
inference(resolution,[],[f350,f173]) ).
fof(f517,plain,
sz0z00 = sdtpldt0(smndt0(xH),xH),
inference(resolution,[],[f350,f155]) ).
fof(f516,plain,
sz0z00 = sdtpldt0(smndt0(xG),xG),
inference(resolution,[],[f350,f157]) ).
fof(f515,plain,
sz0z00 = sdtpldt0(smndt0(xF),xF),
inference(resolution,[],[f350,f153]) ).
fof(f514,plain,
sz0z00 = sdtpldt0(smndt0(xE),xE),
inference(resolution,[],[f350,f165]) ).
fof(f513,plain,
sz0z00 = sdtpldt0(smndt0(xD),xD),
inference(resolution,[],[f350,f163]) ).
fof(f188,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1)) ),
inference(cnf_transformation,[],[f134]) ).
fof(f512,plain,
sz0z00 = sdtpldt0(smndt0(xC),xC),
inference(resolution,[],[f350,f161]) ).
fof(f511,plain,
sz0z00 = sdtpldt0(smndt0(xB),xB),
inference(resolution,[],[f350,f167]) ).
fof(f510,plain,
sz0z00 = sdtpldt0(smndt0(xA),xA),
inference(resolution,[],[f350,f169]) ).
fof(f509,plain,
! [X0,X1] :
( sz0z00 = sdtpldt0(smndt0(sdtlbdtrb0(X0,X1)),sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f350,f208]) ).
fof(f508,plain,
! [X0] :
( sz0z00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(X0))
| ~ aScalar0(X0) ),
inference(resolution,[],[f350,f193]) ).
fof(f507,plain,
! [X0,X1] :
( sz0z00 = sdtpldt0(smndt0(sdtasdt0(X0,X1)),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f350,f214]) ).
fof(f506,plain,
! [X0,X1] :
( sz0z00 = sdtpldt0(smndt0(sdtpldt0(X0,X1)),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f350,f213]) ).
fof(f350,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(X0),X0) ),
inference(resolution,[],[f201,f204]) ).
fof(f487,plain,
sz0z00 = sdtpldt0(xN,smndt0(xN)),
inference(resolution,[],[f335,f159]) ).
fof(f486,plain,
sz0z00 = sdtpldt0(xS,smndt0(xS)),
inference(resolution,[],[f335,f171]) ).
fof(f485,plain,
sz0z00 = sdtpldt0(xP,smndt0(xP)),
inference(resolution,[],[f335,f175]) ).
fof(f484,plain,
sz0z00 = sdtpldt0(xR,smndt0(xR)),
inference(resolution,[],[f335,f173]) ).
fof(f483,plain,
sz0z00 = sdtpldt0(xH,smndt0(xH)),
inference(resolution,[],[f335,f155]) ).
fof(f482,plain,
sz0z00 = sdtpldt0(xG,smndt0(xG)),
inference(resolution,[],[f335,f157]) ).
fof(f481,plain,
sz0z00 = sdtpldt0(xF,smndt0(xF)),
inference(resolution,[],[f335,f153]) ).
fof(f186,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| sziznziztdt0(X0) = X1
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( ( sziznziztdt0(X0) = X1
| ~ sP0(X0,X1) )
& ( sP0(X0,X1)
| sziznziztdt0(X0) != X1 ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( sziznziztdt0(X0) = X1
<=> sP0(X0,X1) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f480,plain,
sz0z00 = sdtpldt0(xE,smndt0(xE)),
inference(resolution,[],[f335,f165]) ).
fof(f479,plain,
sz0z00 = sdtpldt0(xD,smndt0(xD)),
inference(resolution,[],[f335,f163]) ).
fof(f478,plain,
sz0z00 = sdtpldt0(xC,smndt0(xC)),
inference(resolution,[],[f335,f161]) ).
fof(f477,plain,
sz0z00 = sdtpldt0(xB,smndt0(xB)),
inference(resolution,[],[f335,f167]) ).
fof(f476,plain,
sz0z00 = sdtpldt0(xA,smndt0(xA)),
inference(resolution,[],[f335,f169]) ).
fof(f475,plain,
! [X0,X1] :
( sz0z00 = sdtpldt0(sdtlbdtrb0(X0,X1),smndt0(sdtlbdtrb0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f335,f208]) ).
fof(f474,plain,
! [X0] :
( sz0z00 = sdtpldt0(smndt0(X0),smndt0(smndt0(X0)))
| ~ aScalar0(X0) ),
inference(resolution,[],[f335,f193]) ).
fof(f473,plain,
! [X0,X1] :
( sz0z00 = sdtpldt0(sdtasdt0(X0,X1),smndt0(sdtasdt0(X0,X1)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f335,f214]) ).
fof(f472,plain,
! [X0,X1] :
( sz0z00 = sdtpldt0(sdtpldt0(X0,X1),smndt0(sdtpldt0(X0,X1)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f335,f213]) ).
fof(f335,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(X0,smndt0(X0)) ),
inference(resolution,[],[f200,f204]) ).
fof(f435,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz0z00) ),
inference(resolution,[],[f214,f278]) ).
fof(f434,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sz0z00,sdtasdt0(X1,X0)) ),
inference(resolution,[],[f214,f279]) ).
fof(f433,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(sdtasdt0(X1,X0),sz0z00) ),
inference(resolution,[],[f214,f280]) ).
fof(f432,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X1,X0)) ),
inference(resolution,[],[f214,f281]) ).
fof(f431,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,X0) = smndt0(smndt0(sdtasdt0(X1,X0))) ),
inference(resolution,[],[f214,f282]) ).
fof(f214,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,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(f386,plain,
xN = smndt0(smndt0(xN)),
inference(resolution,[],[f282,f159]) ).
fof(f385,plain,
xS = smndt0(smndt0(xS)),
inference(resolution,[],[f282,f171]) ).
fof(f384,plain,
xP = smndt0(smndt0(xP)),
inference(resolution,[],[f282,f175]) ).
fof(f383,plain,
xR = smndt0(smndt0(xR)),
inference(resolution,[],[f282,f173]) ).
fof(f400,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz0z00) ),
inference(resolution,[],[f213,f278]) ).
fof(f399,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sz0z00,sdtpldt0(X1,X0)) ),
inference(resolution,[],[f213,f279]) ).
fof(f398,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(sdtpldt0(X1,X0),sz0z00) ),
inference(resolution,[],[f213,f280]) ).
fof(f397,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X1,X0)) ),
inference(resolution,[],[f213,f281]) ).
fof(f396,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(X1,X0) = smndt0(smndt0(sdtpldt0(X1,X0))) ),
inference(resolution,[],[f213,f282]) ).
fof(f213,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f96]) ).
fof(f96,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(f382,plain,
xH = smndt0(smndt0(xH)),
inference(resolution,[],[f282,f155]) ).
fof(f381,plain,
xG = smndt0(smndt0(xG)),
inference(resolution,[],[f282,f157]) ).
fof(f380,plain,
xF = smndt0(smndt0(xF)),
inference(resolution,[],[f282,f153]) ).
fof(f379,plain,
xE = smndt0(smndt0(xE)),
inference(resolution,[],[f282,f165]) ).
fof(f378,plain,
xD = smndt0(smndt0(xD)),
inference(resolution,[],[f282,f163]) ).
fof(f377,plain,
xC = smndt0(smndt0(xC)),
inference(resolution,[],[f282,f161]) ).
fof(f376,plain,
xB = smndt0(smndt0(xB)),
inference(resolution,[],[f282,f167]) ).
fof(f375,plain,
xA = smndt0(smndt0(xA)),
inference(resolution,[],[f282,f169]) ).
fof(f374,plain,
! [X0,X1] :
( sdtlbdtrb0(X0,X1) = smndt0(smndt0(sdtlbdtrb0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f282,f208]) ).
fof(f373,plain,
! [X0] :
( smndt0(X0) = smndt0(smndt0(smndt0(X0)))
| ~ aScalar0(X0) ),
inference(resolution,[],[f282,f193]) ).
fof(f282,plain,
! [X0] :
( ~ aScalar0(X0)
| smndt0(smndt0(X0)) = X0 ),
inference(resolution,[],[f202,f204]) ).
fof(f365,plain,
sz0z00 = sdtasdt0(sz0z00,xN),
inference(resolution,[],[f281,f159]) ).
fof(f364,plain,
sz0z00 = sdtasdt0(sz0z00,xS),
inference(resolution,[],[f281,f171]) ).
fof(f369,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aVector0(X1)
| sdtlbdtrb0(X1,X0) = sdtpldt0(sdtlbdtrb0(X1,X0),sz0z00) ),
inference(resolution,[],[f208,f278]) ).
fof(f368,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aVector0(X1)
| sdtlbdtrb0(X1,X0) = sdtpldt0(sz0z00,sdtlbdtrb0(X1,X0)) ),
inference(resolution,[],[f208,f279]) ).
fof(f367,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aVector0(X1)
| sz0z00 = sdtasdt0(sdtlbdtrb0(X1,X0),sz0z00) ),
inference(resolution,[],[f208,f280]) ).
fof(f366,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aVector0(X1)
| sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(X1,X0)) ),
inference(resolution,[],[f208,f281]) ).
fof(f208,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,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(f363,plain,
sz0z00 = sdtasdt0(sz0z00,xP),
inference(resolution,[],[f281,f175]) ).
fof(f362,plain,
sz0z00 = sdtasdt0(sz0z00,xR),
inference(resolution,[],[f281,f173]) ).
fof(f361,plain,
sz0z00 = sdtasdt0(sz0z00,xH),
inference(resolution,[],[f281,f155]) ).
fof(f360,plain,
sz0z00 = sdtasdt0(sz0z00,xG),
inference(resolution,[],[f281,f157]) ).
fof(f359,plain,
sz0z00 = sdtasdt0(sz0z00,xF),
inference(resolution,[],[f281,f153]) ).
fof(f358,plain,
sz0z00 = sdtasdt0(sz0z00,xE),
inference(resolution,[],[f281,f165]) ).
fof(f357,plain,
sz0z00 = sdtasdt0(sz0z00,xD),
inference(resolution,[],[f281,f163]) ).
fof(f356,plain,
sz0z00 = sdtasdt0(sz0z00,xC),
inference(resolution,[],[f281,f161]) ).
fof(f355,plain,
sz0z00 = sdtasdt0(sz0z00,xB),
inference(resolution,[],[f281,f167]) ).
fof(f354,plain,
sz0z00 = sdtasdt0(sz0z00,xA),
inference(resolution,[],[f281,f169]) ).
fof(f281,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,X0) ),
inference(resolution,[],[f199,f204]) ).
fof(f205,plain,
! [X0] :
( aNaturalNumber0(sK4(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f336,plain,
sz0z00 = sdtasdt0(sz0z00,sz0z00),
inference(resolution,[],[f280,f179]) ).
fof(f349,plain,
sz0z00 = sdtasdt0(xN,sz0z00),
inference(resolution,[],[f280,f159]) ).
fof(f348,plain,
sz0z00 = sdtasdt0(xS,sz0z00),
inference(resolution,[],[f280,f171]) ).
fof(f347,plain,
sz0z00 = sdtasdt0(xP,sz0z00),
inference(resolution,[],[f280,f175]) ).
fof(f346,plain,
sz0z00 = sdtasdt0(xR,sz0z00),
inference(resolution,[],[f280,f173]) ).
fof(f345,plain,
sz0z00 = sdtasdt0(xH,sz0z00),
inference(resolution,[],[f280,f155]) ).
fof(f344,plain,
sz0z00 = sdtasdt0(xG,sz0z00),
inference(resolution,[],[f280,f157]) ).
fof(f343,plain,
sz0z00 = sdtasdt0(xF,sz0z00),
inference(resolution,[],[f280,f153]) ).
fof(f342,plain,
sz0z00 = sdtasdt0(xE,sz0z00),
inference(resolution,[],[f280,f165]) ).
fof(f341,plain,
sz0z00 = sdtasdt0(xD,sz0z00),
inference(resolution,[],[f280,f163]) ).
fof(f340,plain,
sz0z00 = sdtasdt0(xC,sz0z00),
inference(resolution,[],[f280,f161]) ).
fof(f201,plain,
! [X0] :
( ~ sP2(X0)
| sz0z00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,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,[],[f127]) ).
fof(f127,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(f339,plain,
sz0z00 = sdtasdt0(xB,sz0z00),
inference(resolution,[],[f280,f167]) ).
fof(f338,plain,
sz0z00 = sdtasdt0(xA,sz0z00),
inference(resolution,[],[f280,f169]) ).
fof(f280,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(X0,sz0z00) ),
inference(resolution,[],[f198,f204]) ).
fof(f334,plain,
xN = sdtpldt0(sz0z00,xN),
inference(resolution,[],[f279,f159]) ).
fof(f333,plain,
xS = sdtpldt0(sz0z00,xS),
inference(resolution,[],[f279,f171]) ).
fof(f332,plain,
xP = sdtpldt0(sz0z00,xP),
inference(resolution,[],[f279,f175]) ).
fof(f331,plain,
xR = sdtpldt0(sz0z00,xR),
inference(resolution,[],[f279,f173]) ).
fof(f330,plain,
xH = sdtpldt0(sz0z00,xH),
inference(resolution,[],[f279,f155]) ).
fof(f329,plain,
xG = sdtpldt0(sz0z00,xG),
inference(resolution,[],[f279,f157]) ).
fof(f328,plain,
xF = sdtpldt0(sz0z00,xF),
inference(resolution,[],[f279,f153]) ).
fof(f327,plain,
xE = sdtpldt0(sz0z00,xE),
inference(resolution,[],[f279,f165]) ).
fof(f200,plain,
! [X0] :
( ~ sP2(X0)
| sz0z00 = sdtpldt0(X0,smndt0(X0)) ),
inference(cnf_transformation,[],[f135]) ).
fof(f326,plain,
xD = sdtpldt0(sz0z00,xD),
inference(resolution,[],[f279,f163]) ).
fof(f325,plain,
xC = sdtpldt0(sz0z00,xC),
inference(resolution,[],[f279,f161]) ).
fof(f324,plain,
xB = sdtpldt0(sz0z00,xB),
inference(resolution,[],[f279,f167]) ).
fof(f323,plain,
xA = sdtpldt0(sz0z00,xA),
inference(resolution,[],[f279,f169]) ).
fof(f322,plain,
! [X0] :
( smndt0(X0) = sdtpldt0(sz0z00,smndt0(X0))
| ~ aScalar0(X0) ),
inference(resolution,[],[f279,f193]) ).
fof(f279,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sz0z00,X0) = X0 ),
inference(resolution,[],[f197,f204]) ).
fof(f283,plain,
sz0z00 = sdtpldt0(sz0z00,sz0z00),
inference(resolution,[],[f278,f179]) ).
fof(f192,plain,
! [X0] :
( sP1(X0)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( sP1(X0)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(definition_folding,[],[f77,f125,f124]) ).
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(flattening,[],[f76]) ).
fof(f76,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(f296,plain,
xN = sdtpldt0(xN,sz0z00),
inference(resolution,[],[f278,f159]) ).
fof(f295,plain,
xS = sdtpldt0(xS,sz0z00),
inference(resolution,[],[f278,f171]) ).
fof(f294,plain,
xP = sdtpldt0(xP,sz0z00),
inference(resolution,[],[f278,f175]) ).
fof(f293,plain,
xR = sdtpldt0(xR,sz0z00),
inference(resolution,[],[f278,f173]) ).
fof(f292,plain,
xH = sdtpldt0(xH,sz0z00),
inference(resolution,[],[f278,f155]) ).
fof(f291,plain,
xG = sdtpldt0(xG,sz0z00),
inference(resolution,[],[f278,f157]) ).
fof(f290,plain,
xF = sdtpldt0(xF,sz0z00),
inference(resolution,[],[f278,f153]) ).
fof(f289,plain,
xE = sdtpldt0(xE,sz0z00),
inference(resolution,[],[f278,f165]) ).
fof(f288,plain,
xD = sdtpldt0(xD,sz0z00),
inference(resolution,[],[f278,f163]) ).
fof(f138,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,negated_conjecture,
~ ( sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
& sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
inference(negated_conjecture,[],[f62]) ).
fof(f62,conjecture,
( sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
& sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f287,plain,
xC = sdtpldt0(xC,sz0z00),
inference(resolution,[],[f278,f161]) ).
fof(f286,plain,
xB = sdtpldt0(xB,sz0z00),
inference(resolution,[],[f278,f167]) ).
fof(f285,plain,
xA = sdtpldt0(xA,sz0z00),
inference(resolution,[],[f278,f169]) ).
fof(f284,plain,
! [X0] :
( smndt0(X0) = sdtpldt0(smndt0(X0),sz0z00)
| ~ aScalar0(X0) ),
inference(resolution,[],[f278,f193]) ).
fof(f278,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = X0 ),
inference(resolution,[],[f196,f204]) ).
fof(f202,plain,
! [X0] :
( ~ sP2(X0)
| smndt0(smndt0(X0)) = X0 ),
inference(cnf_transformation,[],[f135]) ).
fof(f199,plain,
! [X0] :
( ~ sP2(X0)
| sz0z00 = sdtasdt0(sz0z00,X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f198,plain,
! [X0] :
( ~ sP2(X0)
| sz0z00 = sdtasdt0(X0,sz0z00) ),
inference(cnf_transformation,[],[f135]) ).
fof(f197,plain,
! [X0] :
( ~ sP2(X0)
| sdtpldt0(sz0z00,X0) = X0 ),
inference(cnf_transformation,[],[f135]) ).
fof(f196,plain,
! [X0] :
( ~ sP2(X0)
| sdtpldt0(X0,sz0z00) = X0 ),
inference(cnf_transformation,[],[f135]) ).
fof(f277,plain,
sdtlseqdt0(sz0z00,xG),
inference(subsumption_resolution,[],[f275,f167]) ).
fof(f275,plain,
( sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(xB) ),
inference(superposition,[],[f195,f158]) ).
fof(f276,plain,
sdtlseqdt0(sz0z00,xF),
inference(subsumption_resolution,[],[f274,f169]) ).
fof(f274,plain,
( sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xA) ),
inference(superposition,[],[f195,f154]) ).
fof(f195,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,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(f273,plain,
sdtlseqdt0(sz0z00,xD),
inference(subsumption_resolution,[],[f271,f147]) ).
fof(f271,plain,
( sdtlseqdt0(sz0z00,xD)
| ~ aVector0(xq) ),
inference(superposition,[],[f184,f164]) ).
fof(f272,plain,
sdtlseqdt0(sz0z00,xC),
inference(subsumption_resolution,[],[f270,f149]) ).
fof(f270,plain,
( sdtlseqdt0(sz0z00,xC)
| ~ aVector0(xp) ),
inference(superposition,[],[f184,f162]) ).
fof(f184,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,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(f144,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(f143,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(f247,plain,
! [X0] :
( aVector0(sziznziztdt0(X0))
| ~ sP1(X0) ),
inference(resolution,[],[f233,f187]) ).
fof(f249,plain,
( sP0(xs,xp)
| ~ sP1(xs) ),
inference(superposition,[],[f233,f150]) ).
fof(f248,plain,
( sP0(xt,xq)
| ~ sP1(xt) ),
inference(superposition,[],[f233,f148]) ).
fof(f233,plain,
! [X0] :
( sP0(X0,sziznziztdt0(X0))
| ~ sP1(X0) ),
inference(equality_resolution,[],[f185]) ).
fof(f185,plain,
! [X0,X1] :
( sP0(X0,X1)
| sziznziztdt0(X0) != X1
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f203,plain,
! [X0] :
( sz0z00 = smndt0(sz0z00)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f182,plain,
! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,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(f180,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,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(f237,plain,
xB = sdtlbdtrb0(xt,aDimensionOf0(xs)),
inference(forward_demodulation,[],[f168,f140]) ).
fof(f170,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(f194,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,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(f193,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,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(f187,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| aVector0(X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f236,plain,
aNaturalNumber0(aDimensionOf0(xs)),
inference(subsumption_resolution,[],[f235,f152]) ).
fof(f235,plain,
( aNaturalNumber0(aDimensionOf0(xs))
| ~ aVector0(xt) ),
inference(superposition,[],[f183,f140]) ).
fof(f183,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,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(f181,plain,
! [X0] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f176,plain,
xP = sdtasdt0(xE,xH),
inference(cnf_transformation,[],[f53]) ).
fof(f174,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f172,plain,
xS = sdtasdt0(xF,xD),
inference(cnf_transformation,[],[f54]) ).
fof(f166,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(f164,plain,
xD = sdtasasdt0(xq,xq),
inference(cnf_transformation,[],[f47]) ).
fof(f162,plain,
xC = sdtasasdt0(xp,xp),
inference(cnf_transformation,[],[f46]) ).
fof(f160,plain,
xN = sdtasdt0(xR,xS),
inference(cnf_transformation,[],[f55]) ).
fof(f158,plain,
xG = sdtasdt0(xB,xB),
inference(cnf_transformation,[],[f50]) ).
fof(f156,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(f154,plain,
xF = sdtasdt0(xA,xA),
inference(cnf_transformation,[],[f49]) ).
fof(f141,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(f140,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(f204,plain,
! [X0] :
( sP2(X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( sP2(X0)
| ~ aScalar0(X0) ),
inference(definition_folding,[],[f81,f127]) ).
fof(f81,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(f150,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(f148,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(f139,plain,
sz00 != aDimensionOf0(xs),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
sz00 != aDimensionOf0(xs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1692) ).
fof(f178,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNat) ).
fof(f169,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f44]) ).
fof(f167,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
& aScalar0(xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1766) ).
fof(f165,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f155,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f152,plain,
aVector0(xt),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
( aVector0(xt)
& aVector0(xs) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678) ).
fof(f151,plain,
aVector0(xs),
inference(cnf_transformation,[],[f38]) ).
fof(f149,plain,
aVector0(xp),
inference(cnf_transformation,[],[f42]) ).
fof(f147,plain,
aVector0(xq),
inference(cnf_transformation,[],[f43]) ).
fof(f232,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,[],[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(flattening,[],[f122]) ).
fof(f122,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(f231,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,[],[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(flattening,[],[f120]) ).
fof(f120,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(f230,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,[],[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(flattening,[],[f118]) ).
fof(f118,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(f227,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[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(flattening,[],[f114]) ).
fof(f114,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(f228,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f223,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f225,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f220,plain,
! [X0,X1] :
( X0 = X1
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[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(flattening,[],[f108]) ).
fof(f108,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(f234,plain,
! [X0,X1] :
( sz00 != aDimensionOf0(X1)
| sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X0)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(inner_rewriting,[],[f212]) ).
fof(f212,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f94]) ).
fof(f94,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(f211,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,[],[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(flattening,[],[f92]) ).
fof(f92,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(f210,plain,
! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f90]) ).
fof(f90,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(f191,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,[],[f134]) ).
fof(f177,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,[],[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(flattening,[],[f70]) ).
fof(f70,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(f168,plain,
xB = sdtlbdtrb0(xt,aDimensionOf0(xt)),
inference(cnf_transformation,[],[f45]) ).
fof(f1766,plain,
( ~ spl5_36
| spl5_37
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f1624,f1477,f1763,f1759]) ).
fof(f1763,plain,
( spl5_37
<=> sz0z00 = xS ),
introduced(avatar_definition,[new_symbols(naming,[spl5_37])]) ).
fof(f1624,plain,
( sz0z00 = xS
| ~ sdtlseqdt0(xS,sz0z00)
| ~ spl5_33 ),
inference(subsumption_resolution,[],[f1623,f171]) ).
fof(f1623,plain,
( sz0z00 = xS
| ~ sdtlseqdt0(xS,sz0z00)
| ~ aScalar0(xS)
| ~ spl5_33 ),
inference(subsumption_resolution,[],[f1622,f179]) ).
fof(f1622,plain,
( sz0z00 = xS
| ~ sdtlseqdt0(xS,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xS)
| ~ spl5_33 ),
inference(resolution,[],[f1478,f219]) ).
fof(f1755,plain,
( ~ spl5_34
| spl5_35
| ~ spl5_32 ),
inference(avatar_split_clause,[],[f1621,f1473,f1752,f1748]) ).
fof(f1752,plain,
( spl5_35
<=> sz0z00 = xR ),
introduced(avatar_definition,[new_symbols(naming,[spl5_35])]) ).
fof(f1473,plain,
( spl5_32
<=> sdtlseqdt0(sz0z00,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_32])]) ).
fof(f1621,plain,
( sz0z00 = xR
| ~ sdtlseqdt0(xR,sz0z00)
| ~ spl5_32 ),
inference(subsumption_resolution,[],[f1620,f173]) ).
fof(f1620,plain,
( sz0z00 = xR
| ~ sdtlseqdt0(xR,sz0z00)
| ~ aScalar0(xR)
| ~ spl5_32 ),
inference(subsumption_resolution,[],[f1619,f179]) ).
fof(f1619,plain,
( sz0z00 = xR
| ~ sdtlseqdt0(xR,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xR)
| ~ spl5_32 ),
inference(resolution,[],[f1474,f219]) ).
fof(f1474,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ spl5_32 ),
inference(avatar_component_clause,[],[f1473]) ).
fof(f1672,plain,
( ~ spl5_7
| spl5_8
| ~ spl5_9
| ~ spl5_10 ),
inference(avatar_contradiction_clause,[],[f1671]) ).
fof(f1671,plain,
( $false
| ~ spl5_7
| spl5_8
| ~ spl5_9
| ~ spl5_10 ),
inference(subsumption_resolution,[],[f1647,f304]) ).
fof(f1647,plain,
( sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ spl5_7
| ~ spl5_9
| ~ spl5_10 ),
inference(superposition,[],[f143,f1628]) ).
fof(f1628,plain,
( sz0z00 = sdtpldt0(xR,xS)
| ~ spl5_7
| ~ spl5_9
| ~ spl5_10 ),
inference(subsumption_resolution,[],[f1627,f599]) ).
fof(f1627,plain,
( sz0z00 = sdtpldt0(xR,xS)
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ spl5_7
| ~ spl5_10 ),
inference(subsumption_resolution,[],[f1626,f179]) ).
fof(f1626,plain,
( sz0z00 = sdtpldt0(xR,xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ spl5_7
| ~ spl5_10 ),
inference(subsumption_resolution,[],[f1625,f604]) ).
fof(f604,plain,
( sdtlseqdt0(sdtpldt0(xR,xS),sz0z00)
| ~ spl5_10 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f602,plain,
( spl5_10
<=> sdtlseqdt0(sdtpldt0(xR,xS),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).
fof(f1625,plain,
( sz0z00 = sdtpldt0(xR,xS)
| ~ sdtlseqdt0(sdtpldt0(xR,xS),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ spl5_7 ),
inference(resolution,[],[f299,f219]) ).
fof(f1670,plain,
( ~ spl5_7
| ~ spl5_9
| ~ spl5_10
| ~ spl5_12 ),
inference(avatar_contradiction_clause,[],[f1669]) ).
fof(f1669,plain,
( $false
| ~ spl5_7
| ~ spl5_9
| ~ spl5_10
| ~ spl5_12 ),
inference(subsumption_resolution,[],[f1646,f633]) ).
fof(f1646,plain,
( ~ sdtlseqdt0(sdtpldt0(xP,xP),sz0z00)
| ~ spl5_7
| ~ spl5_9
| ~ spl5_10 ),
inference(superposition,[],[f142,f1628]) ).
fof(f1596,plain,
spl5_33,
inference(avatar_contradiction_clause,[],[f1595]) ).
fof(f1595,plain,
( $false
| spl5_33 ),
inference(subsumption_resolution,[],[f1594,f153]) ).
fof(f1594,plain,
( ~ aScalar0(xF)
| spl5_33 ),
inference(subsumption_resolution,[],[f1593,f163]) ).
fof(f1593,plain,
( ~ aScalar0(xD)
| ~ aScalar0(xF)
| spl5_33 ),
inference(subsumption_resolution,[],[f1592,f276]) ).
fof(f1592,plain,
( ~ sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xD)
| ~ aScalar0(xF)
| spl5_33 ),
inference(subsumption_resolution,[],[f1591,f273]) ).
fof(f1591,plain,
( ~ sdtlseqdt0(sz0z00,xD)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xD)
| ~ aScalar0(xF)
| spl5_33 ),
inference(subsumption_resolution,[],[f1567,f1479]) ).
fof(f1479,plain,
( ~ sdtlseqdt0(sz0z00,xS)
| spl5_33 ),
inference(avatar_component_clause,[],[f1477]) ).
fof(f1567,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xD)
| ~ aScalar0(xF) ),
inference(superposition,[],[f222,f172]) ).
fof(f1588,plain,
spl5_32,
inference(avatar_contradiction_clause,[],[f1587]) ).
fof(f1587,plain,
( $false
| spl5_32 ),
inference(subsumption_resolution,[],[f1586,f161]) ).
fof(f1586,plain,
( ~ aScalar0(xC)
| spl5_32 ),
inference(subsumption_resolution,[],[f1585,f157]) ).
fof(f1585,plain,
( ~ aScalar0(xG)
| ~ aScalar0(xC)
| spl5_32 ),
inference(subsumption_resolution,[],[f1584,f272]) ).
fof(f1584,plain,
( ~ sdtlseqdt0(sz0z00,xC)
| ~ aScalar0(xG)
| ~ aScalar0(xC)
| spl5_32 ),
inference(subsumption_resolution,[],[f1583,f277]) ).
fof(f1583,plain,
( ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ aScalar0(xG)
| ~ aScalar0(xC)
| spl5_32 ),
inference(subsumption_resolution,[],[f1562,f1475]) ).
fof(f1475,plain,
( ~ sdtlseqdt0(sz0z00,xR)
| spl5_32 ),
inference(avatar_component_clause,[],[f1473]) ).
fof(f1480,plain,
( ~ spl5_32
| ~ spl5_33
| spl5_7 ),
inference(avatar_split_clause,[],[f1433,f298,f1477,f1473]) ).
fof(f1433,plain,
( ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR)
| spl5_7 ),
inference(subsumption_resolution,[],[f1432,f173]) ).
fof(f1432,plain,
( ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xR)
| spl5_7 ),
inference(subsumption_resolution,[],[f1314,f171]) ).
fof(f1314,plain,
( ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xS)
| ~ aScalar0(xR)
| spl5_7 ),
inference(resolution,[],[f221,f300]) ).
fof(f300,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| spl5_7 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f1118,plain,
( spl5_27
| spl5_31 ),
inference(avatar_split_clause,[],[f226,f1116,f983]) ).
fof(f983,plain,
( spl5_27
<=> ! [X2] : ~ aScalar0(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_27])]) ).
fof(f1116,plain,
( spl5_31
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_31])]) ).
fof(f1060,plain,
( ~ spl5_29
| ~ spl5_30 ),
inference(avatar_split_clause,[],[f1051,f1057,f1053]) ).
fof(f1053,plain,
( spl5_29
<=> aNaturalNumber0(sK4(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_29])]) ).
fof(f1057,plain,
( spl5_30
<=> sz00 = szszuzczcdt0(aDimensionOf0(xs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_30])]) ).
fof(f1025,plain,
~ spl5_27,
inference(avatar_contradiction_clause,[],[f989]) ).
fof(f989,plain,
( $false
| ~ spl5_27 ),
inference(resolution,[],[f984,f179]) ).
fof(f984,plain,
( ! [X2] : ~ aScalar0(X2)
| ~ spl5_27 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f1024,plain,
( ~ spl5_9
| ~ spl5_27 ),
inference(avatar_contradiction_clause,[],[f991]) ).
fof(f991,plain,
( $false
| ~ spl5_9
| ~ spl5_27 ),
inference(resolution,[],[f984,f599]) ).
fof(f1023,plain,
( ~ spl5_11
| ~ spl5_27 ),
inference(avatar_contradiction_clause,[],[f992]) ).
fof(f992,plain,
( $false
| ~ spl5_11
| ~ spl5_27 ),
inference(resolution,[],[f984,f628]) ).
fof(f1022,plain,
( ~ spl5_6
| ~ spl5_27 ),
inference(avatar_contradiction_clause,[],[f996]) ).
fof(f996,plain,
( $false
| ~ spl5_6
| ~ spl5_27 ),
inference(resolution,[],[f984,f881]) ).
fof(f881,plain,
( aScalar0(sdtlbdtrb0(xs,sz00))
| ~ spl5_6 ),
inference(subsumption_resolution,[],[f880,f149]) ).
fof(f880,plain,
( aScalar0(sdtlbdtrb0(xs,sz00))
| ~ aVector0(xp)
| ~ spl5_6 ),
inference(subsumption_resolution,[],[f879,f178]) ).
fof(f879,plain,
( aScalar0(sdtlbdtrb0(xs,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aVector0(xp)
| ~ spl5_6 ),
inference(superposition,[],[f208,f868]) ).
fof(f868,plain,
( sdtlbdtrb0(xp,sz00) = sdtlbdtrb0(xs,sz00)
| ~ spl5_6 ),
inference(resolution,[],[f624,f178]) ).
fof(f624,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0) )
| ~ spl5_6 ),
inference(resolution,[],[f189,f266]) ).
fof(f266,plain,
( sP0(xs,xp)
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f264,plain,
( spl5_6
<=> sP0(xs,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f1021,plain,
~ spl5_27,
inference(avatar_contradiction_clause,[],[f998]) ).
fof(f998,plain,
( $false
| ~ spl5_27 ),
inference(resolution,[],[f984,f169]) ).
fof(f1020,plain,
~ spl5_27,
inference(avatar_contradiction_clause,[],[f999]) ).
fof(f999,plain,
( $false
| ~ spl5_27 ),
inference(resolution,[],[f984,f167]) ).
fof(f1019,plain,
~ spl5_27,
inference(avatar_contradiction_clause,[],[f1000]) ).
fof(f1000,plain,
( $false
| ~ spl5_27 ),
inference(resolution,[],[f984,f161]) ).
fof(f1018,plain,
~ spl5_27,
inference(avatar_contradiction_clause,[],[f1001]) ).
fof(f1001,plain,
( $false
| ~ spl5_27 ),
inference(resolution,[],[f984,f163]) ).
fof(f1017,plain,
~ spl5_27,
inference(avatar_contradiction_clause,[],[f1002]) ).
fof(f1002,plain,
( $false
| ~ spl5_27 ),
inference(resolution,[],[f984,f165]) ).
fof(f1016,plain,
~ spl5_27,
inference(avatar_contradiction_clause,[],[f1003]) ).
fof(f1003,plain,
( $false
| ~ spl5_27 ),
inference(resolution,[],[f984,f153]) ).
fof(f1015,plain,
~ spl5_27,
inference(avatar_contradiction_clause,[],[f1004]) ).
fof(f1004,plain,
( $false
| ~ spl5_27 ),
inference(resolution,[],[f984,f157]) ).
fof(f1014,plain,
~ spl5_27,
inference(avatar_contradiction_clause,[],[f1005]) ).
fof(f1005,plain,
( $false
| ~ spl5_27 ),
inference(resolution,[],[f984,f155]) ).
fof(f1013,plain,
~ spl5_27,
inference(avatar_contradiction_clause,[],[f1006]) ).
fof(f1006,plain,
( $false
| ~ spl5_27 ),
inference(resolution,[],[f984,f173]) ).
fof(f1012,plain,
~ spl5_27,
inference(avatar_contradiction_clause,[],[f1007]) ).
fof(f1007,plain,
( $false
| ~ spl5_27 ),
inference(resolution,[],[f984,f175]) ).
fof(f1011,plain,
~ spl5_27,
inference(avatar_contradiction_clause,[],[f1008]) ).
fof(f1008,plain,
( $false
| ~ spl5_27 ),
inference(resolution,[],[f984,f171]) ).
fof(f1010,plain,
~ spl5_27,
inference(avatar_contradiction_clause,[],[f1009]) ).
fof(f1009,plain,
( $false
| ~ spl5_27 ),
inference(resolution,[],[f984,f159]) ).
fof(f988,plain,
( spl5_27
| spl5_28 ),
inference(avatar_split_clause,[],[f224,f986,f983]) ).
fof(f986,plain,
( spl5_28
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_28])]) ).
fof(f979,plain,
( ~ spl5_25
| spl5_26 ),
inference(avatar_split_clause,[],[f936,f976,f972]) ).
fof(f976,plain,
( spl5_26
<=> sz0z00 = xG ),
introduced(avatar_definition,[new_symbols(naming,[spl5_26])]) ).
fof(f968,plain,
( ~ spl5_23
| spl5_24 ),
inference(avatar_split_clause,[],[f934,f965,f961]) ).
fof(f965,plain,
( spl5_24
<=> sz0z00 = xF ),
introduced(avatar_definition,[new_symbols(naming,[spl5_24])]) ).
fof(f957,plain,
( ~ spl5_21
| spl5_22 ),
inference(avatar_split_clause,[],[f932,f954,f950]) ).
fof(f954,plain,
( spl5_22
<=> sz0z00 = xD ),
introduced(avatar_definition,[new_symbols(naming,[spl5_22])]) ).
fof(f946,plain,
( ~ spl5_19
| spl5_20 ),
inference(avatar_split_clause,[],[f930,f943,f939]) ).
fof(f943,plain,
( spl5_20
<=> sz0z00 = xC ),
introduced(avatar_definition,[new_symbols(naming,[spl5_20])]) ).
fof(f842,plain,
( spl5_17
| ~ spl5_18 ),
inference(avatar_contradiction_clause,[],[f841]) ).
fof(f841,plain,
( $false
| spl5_17
| ~ spl5_18 ),
inference(subsumption_resolution,[],[f840,f178]) ).
fof(f840,plain,
( ~ aNaturalNumber0(sz00)
| spl5_17
| ~ spl5_18 ),
inference(trivial_inequality_removal,[],[f837]) ).
fof(f837,plain,
( sz00 != sz00
| ~ aNaturalNumber0(sz00)
| spl5_17
| ~ spl5_18 ),
inference(superposition,[],[f182,f831]) ).
fof(f831,plain,
( sz00 = szszuzczcdt0(sz00)
| spl5_17
| ~ spl5_18 ),
inference(subsumption_resolution,[],[f830,f823]) ).
fof(f823,plain,
( aNaturalNumber0(szszuzczcdt0(sz00))
| ~ spl5_18 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f821,plain,
( spl5_18
<=> aNaturalNumber0(szszuzczcdt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_18])]) ).
fof(f830,plain,
( sz00 = szszuzczcdt0(sz00)
| ~ aNaturalNumber0(szszuzczcdt0(sz00))
| spl5_17 ),
inference(resolution,[],[f819,f205]) ).
fof(f819,plain,
( ~ aNaturalNumber0(sK4(szszuzczcdt0(sz00)))
| spl5_17 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f817,plain,
( spl5_17
<=> aNaturalNumber0(sK4(szszuzczcdt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_17])]) ).
fof(f827,plain,
spl5_18,
inference(avatar_contradiction_clause,[],[f826]) ).
fof(f826,plain,
( $false
| spl5_18 ),
inference(subsumption_resolution,[],[f825,f178]) ).
fof(f825,plain,
( ~ aNaturalNumber0(sz00)
| spl5_18 ),
inference(resolution,[],[f822,f181]) ).
fof(f822,plain,
( ~ aNaturalNumber0(szszuzczcdt0(sz00))
| spl5_18 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f824,plain,
( ~ spl5_17
| spl5_18 ),
inference(avatar_split_clause,[],[f814,f821,f817]) ).
fof(f772,plain,
spl5_15,
inference(avatar_contradiction_clause,[],[f771]) ).
fof(f771,plain,
( $false
| spl5_15 ),
inference(subsumption_resolution,[],[f770,f147]) ).
fof(f770,plain,
( ~ aVector0(xq)
| spl5_15 ),
inference(resolution,[],[f764,f183]) ).
fof(f764,plain,
( ~ aNaturalNumber0(aDimensionOf0(xq))
| spl5_15 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f762,plain,
( spl5_15
<=> aNaturalNumber0(aDimensionOf0(xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_15])]) ).
fof(f769,plain,
( ~ spl5_15
| spl5_16
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f543,f255,f766,f762]) ).
fof(f766,plain,
( spl5_16
<=> iLess0(aDimensionOf0(xq),aDimensionOf0(xs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_16])]) ).
fof(f255,plain,
( spl5_4
<=> sP0(xt,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f543,plain,
( iLess0(aDimensionOf0(xq),aDimensionOf0(xs))
| ~ aNaturalNumber0(aDimensionOf0(xq))
| ~ spl5_4 ),
inference(superposition,[],[f180,f529]) ).
fof(f529,plain,
( aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xq))
| ~ spl5_4 ),
inference(forward_demodulation,[],[f528,f140]) ).
fof(f528,plain,
( aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq))
| ~ spl5_4 ),
inference(resolution,[],[f188,f257]) ).
fof(f257,plain,
( sP0(xt,xq)
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f759,plain,
spl5_13,
inference(avatar_contradiction_clause,[],[f758]) ).
fof(f758,plain,
( $false
| spl5_13 ),
inference(subsumption_resolution,[],[f757,f149]) ).
fof(f757,plain,
( ~ aVector0(xp)
| spl5_13 ),
inference(resolution,[],[f751,f183]) ).
fof(f751,plain,
( ~ aNaturalNumber0(aDimensionOf0(xp))
| spl5_13 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f749,plain,
( spl5_13
<=> aNaturalNumber0(aDimensionOf0(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).
fof(f756,plain,
( ~ spl5_13
| spl5_14
| ~ spl5_6 ),
inference(avatar_split_clause,[],[f540,f264,f753,f749]) ).
fof(f753,plain,
( spl5_14
<=> iLess0(aDimensionOf0(xp),aDimensionOf0(xs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_14])]) ).
fof(f540,plain,
( iLess0(aDimensionOf0(xp),aDimensionOf0(xs))
| ~ aNaturalNumber0(aDimensionOf0(xp))
| ~ spl5_6 ),
inference(superposition,[],[f180,f527]) ).
fof(f527,plain,
( aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp))
| ~ spl5_6 ),
inference(resolution,[],[f188,f266]) ).
fof(f638,plain,
spl5_11,
inference(avatar_contradiction_clause,[],[f637]) ).
fof(f637,plain,
( $false
| spl5_11 ),
inference(subsumption_resolution,[],[f636,f175]) ).
fof(f636,plain,
( ~ aScalar0(xP)
| spl5_11 ),
inference(duplicate_literal_removal,[],[f635]) ).
fof(f635,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| spl5_11 ),
inference(resolution,[],[f629,f213]) ).
fof(f629,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| spl5_11 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f634,plain,
( ~ spl5_11
| spl5_12
| spl5_8 ),
inference(avatar_split_clause,[],[f591,f302,f631,f627]) ).
fof(f591,plain,
( sdtlseqdt0(sdtpldt0(xP,xP),sz0z00)
| ~ aScalar0(sdtpldt0(xP,xP))
| spl5_8 ),
inference(subsumption_resolution,[],[f584,f179]) ).
fof(f584,plain,
( sdtlseqdt0(sdtpldt0(xP,xP),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(xP,xP))
| spl5_8 ),
inference(resolution,[],[f218,f304]) ).
fof(f609,plain,
spl5_9,
inference(avatar_contradiction_clause,[],[f608]) ).
fof(f608,plain,
( $false
| spl5_9 ),
inference(subsumption_resolution,[],[f607,f173]) ).
fof(f607,plain,
( ~ aScalar0(xR)
| spl5_9 ),
inference(subsumption_resolution,[],[f606,f171]) ).
fof(f606,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xR)
| spl5_9 ),
inference(resolution,[],[f600,f213]) ).
fof(f600,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| spl5_9 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f605,plain,
( ~ spl5_9
| spl5_10
| spl5_7 ),
inference(avatar_split_clause,[],[f590,f298,f602,f598]) ).
fof(f590,plain,
( sdtlseqdt0(sdtpldt0(xR,xS),sz0z00)
| ~ aScalar0(sdtpldt0(xR,xS))
| spl5_7 ),
inference(subsumption_resolution,[],[f583,f179]) ).
fof(f583,plain,
( sdtlseqdt0(sdtpldt0(xR,xS),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(xR,xS))
| spl5_7 ),
inference(resolution,[],[f218,f300]) ).
fof(f319,plain,
spl5_3,
inference(avatar_contradiction_clause,[],[f318]) ).
fof(f318,plain,
( $false
| spl5_3 ),
inference(subsumption_resolution,[],[f314,f139]) ).
fof(f314,plain,
( sz00 = aDimensionOf0(xs)
| spl5_3 ),
inference(superposition,[],[f140,f308]) ).
fof(f308,plain,
( sz00 = aDimensionOf0(xt)
| spl5_3 ),
inference(subsumption_resolution,[],[f306,f152]) ).
fof(f306,plain,
( sz00 = aDimensionOf0(xt)
| ~ aVector0(xt)
| spl5_3 ),
inference(resolution,[],[f192,f253]) ).
fof(f253,plain,
( ~ sP1(xt)
| spl5_3 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f251,plain,
( spl5_3
<=> sP1(xt) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f317,plain,
spl5_3,
inference(avatar_contradiction_clause,[],[f316]) ).
fof(f316,plain,
( $false
| spl5_3 ),
inference(subsumption_resolution,[],[f313,f139]) ).
fof(f313,plain,
( sz00 = aDimensionOf0(xs)
| spl5_3 ),
inference(superposition,[],[f308,f140]) ).
fof(f311,plain,
spl5_5,
inference(avatar_contradiction_clause,[],[f310]) ).
fof(f310,plain,
( $false
| spl5_5 ),
inference(subsumption_resolution,[],[f309,f151]) ).
fof(f309,plain,
( ~ aVector0(xs)
| spl5_5 ),
inference(subsumption_resolution,[],[f307,f139]) ).
fof(f307,plain,
( sz00 = aDimensionOf0(xs)
| ~ aVector0(xs)
| spl5_5 ),
inference(resolution,[],[f192,f262]) ).
fof(f262,plain,
( ~ sP1(xs)
| spl5_5 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f260,plain,
( spl5_5
<=> sP1(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f305,plain,
( ~ spl5_7
| ~ spl5_8 ),
inference(avatar_split_clause,[],[f138,f302,f298]) ).
fof(f267,plain,
( ~ spl5_5
| spl5_6 ),
inference(avatar_split_clause,[],[f249,f264,f260]) ).
fof(f258,plain,
( ~ spl5_3
| spl5_4 ),
inference(avatar_split_clause,[],[f248,f255,f251]) ).
fof(f245,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f203,f242,f239]) ).
fof(f239,plain,
( spl5_1
<=> ! [X0] : ~ sP2(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f242,plain,
( spl5_2
<=> sz0z00 = smndt0(sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : RNG071+1 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n022.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 18:14:38 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % (32332)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (32335)WARNING: value z3 for option sas not known
% 0.11/0.34 % (32339)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.11/0.34 % (32338)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.11/0.34 % (32333)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (32334)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 % (32335)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34 % (32336)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 % (32337)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)
% 0.17/0.35 TRYING [1]
% 0.17/0.35 TRYING [1]
% 0.17/0.35 TRYING [2]
% 0.17/0.35 TRYING [2]
% 0.17/0.36 TRYING [3]
% 0.17/0.36 TRYING [3]
% 0.17/0.41 TRYING [4]
% 0.17/0.41 % (32335)First to succeed.
% 0.17/0.42 % (32335)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32332"
% 0.17/0.42 % (32335)Refutation found. Thanks to Tanya!
% 0.17/0.42 % SZS status Theorem for theBenchmark
% 0.17/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.43 % (32335)------------------------------
% 0.17/0.43 % (32335)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.43 % (32335)Termination reason: Refutation
% 0.17/0.43
% 0.17/0.43 % (32335)Memory used [KB]: 1855
% 0.17/0.43 % (32335)Time elapsed: 0.077 s
% 0.17/0.43 % (32335)Instructions burned: 156 (million)
% 0.17/0.43 % (32332)Success in time 0.098 s
%------------------------------------------------------------------------------