TSTP Solution File: RNG071+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG071+2 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 02:41:37 EDT 2024
% Result : Theorem 0.23s 0.48s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 115
% Syntax : Number of formulae : 980 ( 253 unt; 0 def)
% Number of atoms : 2640 ( 685 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 2954 (1294 ~;1402 |; 150 &)
% ( 58 <=>; 50 =>; 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 : 574 ( 566 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2463,plain,
$false,
inference(avatar_sat_refutation,[],[f258,f271,f280,f318,f324,f330,f332,f492,f495,f522,f525,f682,f686,f708,f712,f843,f846,f886,f1021,f1095,f1106,f1117,f1128,f1137,f1164,f1165,f1166,f1167,f1168,f1169,f1170,f1171,f1172,f1173,f1174,f1175,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1260,f1664,f1780,f1788,f1862,f1864,f1947,f1958,f2002,f2142,f2154,f2165,f2176,f2187,f2224,f2235,f2460]) ).
fof(f2460,plain,
( ~ spl5_7
| ~ spl5_13
| ~ spl5_15
| ~ spl5_16 ),
inference(avatar_contradiction_clause,[],[f2459]) ).
fof(f2459,plain,
( $false
| ~ spl5_7
| ~ spl5_13
| ~ spl5_15
| ~ spl5_16 ),
inference(subsumption_resolution,[],[f2458,f702]) ).
fof(f702,plain,
( aScalar0(sdtpldt0(xP,xP))
| ~ spl5_15 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f701,plain,
( spl5_15
<=> aScalar0(sdtpldt0(xP,xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_15])]) ).
fof(f2458,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| ~ spl5_7
| ~ spl5_13
| ~ spl5_16 ),
inference(subsumption_resolution,[],[f2453,f707]) ).
fof(f707,plain,
( sdtlseqdt0(sdtpldt0(xP,xP),sz0z00)
| ~ spl5_16 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f705,plain,
( spl5_16
<=> sdtlseqdt0(sdtpldt0(xP,xP),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_16])]) ).
fof(f2453,plain,
( ~ sdtlseqdt0(sdtpldt0(xP,xP),sz0z00)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ spl5_7
| ~ spl5_13 ),
inference(resolution,[],[f1911,f144]) ).
fof(f144,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(f1911,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_7
| ~ spl5_13 ),
inference(subsumption_resolution,[],[f1910,f185]) ).
fof(f185,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f1910,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_7
| ~ spl5_13 ),
inference(subsumption_resolution,[],[f1888,f676]) ).
fof(f676,plain,
( aScalar0(sdtpldt0(xR,xS))
| ~ spl5_13 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f675,plain,
( spl5_13
<=> aScalar0(sdtpldt0(xR,xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).
fof(f1888,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_7 ),
inference(resolution,[],[f235,f312]) ).
fof(f312,plain,
( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f311,plain,
( spl5_7
<=> sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
fof(f235,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f118]) ).
fof(f118,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(f2235,plain,
( ~ spl5_52
| spl5_53
| spl5_8
| spl5_38 ),
inference(avatar_split_clause,[],[f2127,f1995,f315,f2232,f2228]) ).
fof(f2228,plain,
( spl5_52
<=> sdtlseqdt0(xN,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_52])]) ).
fof(f2232,plain,
( spl5_53
<=> xP = xN ),
introduced(avatar_definition,[new_symbols(naming,[spl5_53])]) ).
fof(f315,plain,
( spl5_8
<=> sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
fof(f1995,plain,
( spl5_38
<=> sdtlseqdt0(xN,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_38])]) ).
fof(f2127,plain,
( xP = xN
| ~ sdtlseqdt0(xN,xP)
| spl5_8
| spl5_38 ),
inference(subsumption_resolution,[],[f2126,f165]) ).
fof(f165,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(f2126,plain,
( xP = xN
| ~ sdtlseqdt0(xN,xP)
| ~ aScalar0(xN)
| spl5_8
| spl5_38 ),
inference(subsumption_resolution,[],[f2123,f181]) ).
fof(f181,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(f2123,plain,
( xP = xN
| ~ sdtlseqdt0(xN,xP)
| ~ aScalar0(xP)
| ~ aScalar0(xN)
| spl5_8
| spl5_38 ),
inference(resolution,[],[f2057,f225]) ).
fof(f225,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f108]) ).
fof(f108,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(f2057,plain,
( sdtlseqdt0(xP,xN)
| spl5_8
| spl5_38 ),
inference(subsumption_resolution,[],[f2041,f165]) ).
fof(f2041,plain,
( sdtlseqdt0(xP,xN)
| ~ aScalar0(xN)
| spl5_8
| spl5_38 ),
inference(resolution,[],[f2029,f1997]) ).
fof(f1997,plain,
( ~ sdtlseqdt0(xN,sz0z00)
| spl5_38 ),
inference(avatar_component_clause,[],[f1995]) ).
fof(f2029,plain,
( ! [X0] :
( sdtlseqdt0(xP,X0)
| sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X0) )
| spl5_8 ),
inference(subsumption_resolution,[],[f2027,f181]) ).
fof(f2027,plain,
( ! [X0] :
( sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X0)
| sdtlseqdt0(xP,X0)
| ~ aScalar0(xP) )
| spl5_8 ),
inference(duplicate_literal_removal,[],[f2024]) ).
fof(f2024,plain,
( ! [X0] :
( sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X0)
| sdtlseqdt0(xP,X0)
| ~ aScalar0(xP)
| ~ aScalar0(X0) )
| spl5_8 ),
inference(resolution,[],[f1936,f224]) ).
fof(f224,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f106]) ).
fof(f106,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(f1936,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xP)
| sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X0) )
| spl5_8 ),
inference(subsumption_resolution,[],[f1935,f181]) ).
fof(f1935,plain,
( ! [X0] :
( sdtlseqdt0(X0,sz0z00)
| ~ sdtlseqdt0(X0,xP)
| ~ aScalar0(xP)
| ~ aScalar0(X0) )
| spl5_8 ),
inference(subsumption_resolution,[],[f1904,f185]) ).
fof(f1904,plain,
( ! [X0] :
( sdtlseqdt0(X0,sz0z00)
| ~ sdtlseqdt0(X0,xP)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xP)
| ~ aScalar0(X0) )
| spl5_8 ),
inference(resolution,[],[f235,f1833]) ).
fof(f1833,plain,
( sdtlseqdt0(xP,sz0z00)
| spl5_8 ),
inference(subsumption_resolution,[],[f1832,f185]) ).
fof(f1832,plain,
( sdtlseqdt0(xP,sz0z00)
| ~ aScalar0(sz0z00)
| spl5_8 ),
inference(subsumption_resolution,[],[f1830,f181]) ).
fof(f1830,plain,
( sdtlseqdt0(xP,sz0z00)
| ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| spl5_8 ),
inference(resolution,[],[f1825,f224]) ).
fof(f1825,plain,
( ~ sdtlseqdt0(sz0z00,xP)
| spl5_8 ),
inference(subsumption_resolution,[],[f1824,f181]) ).
fof(f1824,plain,
( ~ sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(xP)
| spl5_8 ),
inference(duplicate_literal_removal,[],[f1821]) ).
fof(f1821,plain,
( ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(xP)
| ~ aScalar0(xP)
| spl5_8 ),
inference(resolution,[],[f317,f227]) ).
fof(f227,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,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,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(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(f317,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| spl5_8 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f2224,plain,
( ~ spl5_50
| spl5_51
| spl5_8
| spl5_36 ),
inference(avatar_split_clause,[],[f2121,f1951,f315,f2221,f2217]) ).
fof(f2217,plain,
( spl5_50
<=> sdtlseqdt0(xS,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_50])]) ).
fof(f2221,plain,
( spl5_51
<=> xP = xS ),
introduced(avatar_definition,[new_symbols(naming,[spl5_51])]) ).
fof(f1951,plain,
( spl5_36
<=> sdtlseqdt0(xS,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_36])]) ).
fof(f2121,plain,
( xP = xS
| ~ sdtlseqdt0(xS,xP)
| spl5_8
| spl5_36 ),
inference(subsumption_resolution,[],[f2120,f177]) ).
fof(f177,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(f2120,plain,
( xP = xS
| ~ sdtlseqdt0(xS,xP)
| ~ aScalar0(xS)
| spl5_8
| spl5_36 ),
inference(subsumption_resolution,[],[f2117,f181]) ).
fof(f2117,plain,
( xP = xS
| ~ sdtlseqdt0(xS,xP)
| ~ aScalar0(xP)
| ~ aScalar0(xS)
| spl5_8
| spl5_36 ),
inference(resolution,[],[f2056,f225]) ).
fof(f2056,plain,
( sdtlseqdt0(xP,xS)
| spl5_8
| spl5_36 ),
inference(subsumption_resolution,[],[f2040,f177]) ).
fof(f2040,plain,
( sdtlseqdt0(xP,xS)
| ~ aScalar0(xS)
| spl5_8
| spl5_36 ),
inference(resolution,[],[f2029,f1953]) ).
fof(f1953,plain,
( ~ sdtlseqdt0(xS,sz0z00)
| spl5_36 ),
inference(avatar_component_clause,[],[f1951]) ).
fof(f2187,plain,
( ~ spl5_48
| spl5_49
| spl5_8
| spl5_34 ),
inference(avatar_split_clause,[],[f2115,f1940,f315,f2184,f2180]) ).
fof(f2180,plain,
( spl5_48
<=> sdtlseqdt0(xR,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_48])]) ).
fof(f2184,plain,
( spl5_49
<=> xR = xP ),
introduced(avatar_definition,[new_symbols(naming,[spl5_49])]) ).
fof(f1940,plain,
( spl5_34
<=> sdtlseqdt0(xR,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_34])]) ).
fof(f2115,plain,
( xR = xP
| ~ sdtlseqdt0(xR,xP)
| spl5_8
| spl5_34 ),
inference(subsumption_resolution,[],[f2114,f179]) ).
fof(f179,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(f2114,plain,
( xR = xP
| ~ sdtlseqdt0(xR,xP)
| ~ aScalar0(xR)
| spl5_8
| spl5_34 ),
inference(subsumption_resolution,[],[f2111,f181]) ).
fof(f2111,plain,
( xR = xP
| ~ sdtlseqdt0(xR,xP)
| ~ aScalar0(xP)
| ~ aScalar0(xR)
| spl5_8
| spl5_34 ),
inference(resolution,[],[f2055,f225]) ).
fof(f2055,plain,
( sdtlseqdt0(xP,xR)
| spl5_8
| spl5_34 ),
inference(subsumption_resolution,[],[f2039,f179]) ).
fof(f2039,plain,
( sdtlseqdt0(xP,xR)
| ~ aScalar0(xR)
| spl5_8
| spl5_34 ),
inference(resolution,[],[f2029,f1942]) ).
fof(f1942,plain,
( ~ sdtlseqdt0(xR,sz0z00)
| spl5_34 ),
inference(avatar_component_clause,[],[f1940]) ).
fof(f2176,plain,
( ~ spl5_46
| spl5_47
| spl5_8
| spl5_27 ),
inference(avatar_split_clause,[],[f2109,f1121,f315,f2173,f2169]) ).
fof(f2169,plain,
( spl5_46
<=> sdtlseqdt0(xG,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_46])]) ).
fof(f2173,plain,
( spl5_47
<=> xG = xP ),
introduced(avatar_definition,[new_symbols(naming,[spl5_47])]) ).
fof(f1121,plain,
( spl5_27
<=> sdtlseqdt0(xG,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_27])]) ).
fof(f2109,plain,
( xG = xP
| ~ sdtlseqdt0(xG,xP)
| spl5_8
| spl5_27 ),
inference(subsumption_resolution,[],[f2108,f163]) ).
fof(f163,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(f2108,plain,
( xG = xP
| ~ sdtlseqdt0(xG,xP)
| ~ aScalar0(xG)
| spl5_8
| spl5_27 ),
inference(subsumption_resolution,[],[f2105,f181]) ).
fof(f2105,plain,
( xG = xP
| ~ sdtlseqdt0(xG,xP)
| ~ aScalar0(xP)
| ~ aScalar0(xG)
| spl5_8
| spl5_27 ),
inference(resolution,[],[f2054,f225]) ).
fof(f2054,plain,
( sdtlseqdt0(xP,xG)
| spl5_8
| spl5_27 ),
inference(subsumption_resolution,[],[f2038,f163]) ).
fof(f2038,plain,
( sdtlseqdt0(xP,xG)
| ~ aScalar0(xG)
| spl5_8
| spl5_27 ),
inference(resolution,[],[f2029,f1123]) ).
fof(f1123,plain,
( ~ sdtlseqdt0(xG,sz0z00)
| spl5_27 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f2165,plain,
( ~ spl5_44
| spl5_45
| spl5_8
| spl5_25 ),
inference(avatar_split_clause,[],[f2103,f1110,f315,f2162,f2158]) ).
fof(f2158,plain,
( spl5_44
<=> sdtlseqdt0(xF,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_44])]) ).
fof(f2162,plain,
( spl5_45
<=> xF = xP ),
introduced(avatar_definition,[new_symbols(naming,[spl5_45])]) ).
fof(f1110,plain,
( spl5_25
<=> sdtlseqdt0(xF,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_25])]) ).
fof(f2103,plain,
( xF = xP
| ~ sdtlseqdt0(xF,xP)
| spl5_8
| spl5_25 ),
inference(subsumption_resolution,[],[f2102,f159]) ).
fof(f159,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(f2102,plain,
( xF = xP
| ~ sdtlseqdt0(xF,xP)
| ~ aScalar0(xF)
| spl5_8
| spl5_25 ),
inference(subsumption_resolution,[],[f2099,f181]) ).
fof(f2099,plain,
( xF = xP
| ~ sdtlseqdt0(xF,xP)
| ~ aScalar0(xP)
| ~ aScalar0(xF)
| spl5_8
| spl5_25 ),
inference(resolution,[],[f2053,f225]) ).
fof(f2053,plain,
( sdtlseqdt0(xP,xF)
| spl5_8
| spl5_25 ),
inference(subsumption_resolution,[],[f2037,f159]) ).
fof(f2037,plain,
( sdtlseqdt0(xP,xF)
| ~ aScalar0(xF)
| spl5_8
| spl5_25 ),
inference(resolution,[],[f2029,f1112]) ).
fof(f1112,plain,
( ~ sdtlseqdt0(xF,sz0z00)
| spl5_25 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f2154,plain,
( ~ spl5_42
| spl5_43
| spl5_8
| spl5_23 ),
inference(avatar_split_clause,[],[f2097,f1099,f315,f2151,f2147]) ).
fof(f2147,plain,
( spl5_42
<=> sdtlseqdt0(xD,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_42])]) ).
fof(f2151,plain,
( spl5_43
<=> xD = xP ),
introduced(avatar_definition,[new_symbols(naming,[spl5_43])]) ).
fof(f1099,plain,
( spl5_23
<=> sdtlseqdt0(xD,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_23])]) ).
fof(f2097,plain,
( xD = xP
| ~ sdtlseqdt0(xD,xP)
| spl5_8
| spl5_23 ),
inference(subsumption_resolution,[],[f2096,f169]) ).
fof(f169,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(f2096,plain,
( xD = xP
| ~ sdtlseqdt0(xD,xP)
| ~ aScalar0(xD)
| spl5_8
| spl5_23 ),
inference(subsumption_resolution,[],[f2093,f181]) ).
fof(f2093,plain,
( xD = xP
| ~ sdtlseqdt0(xD,xP)
| ~ aScalar0(xP)
| ~ aScalar0(xD)
| spl5_8
| spl5_23 ),
inference(resolution,[],[f2052,f225]) ).
fof(f2052,plain,
( sdtlseqdt0(xP,xD)
| spl5_8
| spl5_23 ),
inference(subsumption_resolution,[],[f2036,f169]) ).
fof(f2036,plain,
( sdtlseqdt0(xP,xD)
| ~ aScalar0(xD)
| spl5_8
| spl5_23 ),
inference(resolution,[],[f2029,f1101]) ).
fof(f1101,plain,
( ~ sdtlseqdt0(xD,sz0z00)
| spl5_23 ),
inference(avatar_component_clause,[],[f1099]) ).
fof(f2142,plain,
( ~ spl5_40
| spl5_41
| spl5_8
| spl5_21 ),
inference(avatar_split_clause,[],[f2091,f1088,f315,f2139,f2135]) ).
fof(f2135,plain,
( spl5_40
<=> sdtlseqdt0(xC,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_40])]) ).
fof(f2139,plain,
( spl5_41
<=> xC = xP ),
introduced(avatar_definition,[new_symbols(naming,[spl5_41])]) ).
fof(f1088,plain,
( spl5_21
<=> sdtlseqdt0(xC,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_21])]) ).
fof(f2091,plain,
( xC = xP
| ~ sdtlseqdt0(xC,xP)
| spl5_8
| spl5_21 ),
inference(subsumption_resolution,[],[f2090,f167]) ).
fof(f167,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(f2090,plain,
( xC = xP
| ~ sdtlseqdt0(xC,xP)
| ~ aScalar0(xC)
| spl5_8
| spl5_21 ),
inference(subsumption_resolution,[],[f2087,f181]) ).
fof(f2087,plain,
( xC = xP
| ~ sdtlseqdt0(xC,xP)
| ~ aScalar0(xP)
| ~ aScalar0(xC)
| spl5_8
| spl5_21 ),
inference(resolution,[],[f2051,f225]) ).
fof(f2051,plain,
( sdtlseqdt0(xP,xC)
| spl5_8
| spl5_21 ),
inference(subsumption_resolution,[],[f2035,f167]) ).
fof(f2035,plain,
( sdtlseqdt0(xP,xC)
| ~ aScalar0(xC)
| spl5_8
| spl5_21 ),
inference(resolution,[],[f2029,f1090]) ).
fof(f1090,plain,
( ~ sdtlseqdt0(xC,sz0z00)
| spl5_21 ),
inference(avatar_component_clause,[],[f1088]) ).
fof(f2002,plain,
( ~ spl5_38
| spl5_39
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f1993,f1661,f1999,f1995]) ).
fof(f1999,plain,
( spl5_39
<=> sz0z00 = xN ),
introduced(avatar_definition,[new_symbols(naming,[spl5_39])]) ).
fof(f1661,plain,
( spl5_33
<=> sdtlseqdt0(sz0z00,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_33])]) ).
fof(f1993,plain,
( sz0z00 = xN
| ~ sdtlseqdt0(xN,sz0z00)
| ~ spl5_33 ),
inference(subsumption_resolution,[],[f1992,f165]) ).
fof(f1992,plain,
( sz0z00 = xN
| ~ sdtlseqdt0(xN,sz0z00)
| ~ aScalar0(xN)
| ~ spl5_33 ),
inference(subsumption_resolution,[],[f1989,f185]) ).
fof(f1989,plain,
( sz0z00 = xN
| ~ sdtlseqdt0(xN,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xN)
| ~ spl5_33 ),
inference(resolution,[],[f1987,f225]) ).
fof(f1987,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ spl5_33 ),
inference(subsumption_resolution,[],[f1806,f1662]) ).
fof(f1662,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ spl5_33 ),
inference(avatar_component_clause,[],[f1661]) ).
fof(f1806,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,xS) ),
inference(global_subsumption,[],[f150,f174,f183,f197,f216,f217,f218,f240,f226,f231,f229,f234,f233,f235,f236,f237,f238,f149,f153,f157,f158,f159,f161,f163,f165,f167,f169,f171,f173,f175,f177,f179,f181,f184,f185,f141,f152,f156,f210,f142,f143,f160,f162,f164,f166,f168,f170,f172,f178,f180,f182,f187,f189,f242,f193,f199,f200,f154,f176,f243,f245,f186,f188,f209,f239,f261,f262,f260,f144,f145,f146,f190,f285,f286,f201,f289,f290,f202,f203,f204,f205,f208,f291,f140,f298,f299,f300,f301,f302,f303,f304,f305,f306,f198,f307,f308,f309,f296,f292,f336,f206,f337,f338,f339,f340,f341,f342,f343,f344,f345,f346,f347,f207,f293,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f211,f362,f363,f350,f294,f367,f368,f369,f370,f371,f372,f373,f214,f379,f380,f381,f382,f374,f375,f376,f377,f378,f295,f386,f387,f388,f389,f390,f391,f392,f219,f406,f407,f408,f409,f410,f393,f394,f395,f396,f397,f398,f399,f220,f444,f445,f446,f447,f448,f247,f151,f497,f498,f501,f502,f496,f506,f507,f510,f511,f508,f509,f248,f348,f528,f529,f530,f531,f532,f155,f547,f548,f552,f533,f534,f535,f536,f537,f538,f539,f540,f541,f542,f543,f192,f544,f553,f546,f573,f574,f575,f578,f579,f576,f577,f349,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f194,f593,f594,f595,f596,f597,f598,f599,f600,f351,f619,f620,f621,f622,f625,f626,f212,f642,f646,f627,f628,f629,f630,f631,f632,f633,f634,f635,f636,f648,f660,f224,f195,f735,f366,f746,f749,f750,f751,f754,f755,f756,f213,f772,f775,f757,f758,f759,f760,f761,f762,f763,f764,f765,f215,f797,f798,f796,f799,f800,f801,f802,f803,f804,f805,f806,f807,f623,f624,f752,f753,f606,f814,f647,f821,f822,f826,f820,f829,f830,f831,f832,f833,f221,f852,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f834,f222,f923,f926,f927,f928,f929,f932,f933,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f823,f981,f982,f983,f984,f985,f223,f987,f988,f991,f992,f993,f994,f997,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f986,f297,f1024,f1027,f1028,f1029,f1030,f1033,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f225,f1075,f1077,f1086,f1070,f1079,f1081,f1083,f1085,f230,f1044,f1045,f1046,f1047,f1048,f335,f1193,f1196,f1197,f1198,f1199,f1202,f1205,f1206,f1207,f1208,f1209,f1210,f1211,f1212,f1213,f1214,f1215,f1216,f1217,f232,f147,f1361,f148,f1399,f196,f1440,f1441,f1442,f227,f1619,f1624,f1625,f1627,f1629,f1630,f1632,f1634,f1635,f1636,f1637,f1638,f1639,f1640,f1641,f1643,f1645,f1646,f1648,f1650,f1651,f1652,f1653,f1654,f1655,f228,f1772,f1774,f1782,f1803,f1805]) ).
fof(f1805,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(subsumption_resolution,[],[f1804,f179]) ).
fof(f1804,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xR) ),
inference(subsumption_resolution,[],[f1763,f177]) ).
fof(f1763,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xS)
| ~ aScalar0(xR) ),
inference(superposition,[],[f228,f166]) ).
fof(f1803,plain,
sdtlseqdt0(sz0z00,xR),
inference(subsumption_resolution,[],[f1802,f167]) ).
fof(f1802,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xC) ),
inference(subsumption_resolution,[],[f1801,f163]) ).
fof(f1801,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xG)
| ~ aScalar0(xC) ),
inference(subsumption_resolution,[],[f1800,f285]) ).
fof(f1800,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ aScalar0(xG)
| ~ aScalar0(xC) ),
inference(subsumption_resolution,[],[f1754,f290]) ).
fof(f1754,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ aScalar0(xG)
| ~ aScalar0(xC) ),
inference(superposition,[],[f228,f180]) ).
fof(f1782,plain,
( sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xE) ),
inference(subsumption_resolution,[],[f1781,f171]) ).
fof(f1781,plain,
( sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xE)
| ~ aScalar0(xE) ),
inference(subsumption_resolution,[],[f1757,f161]) ).
fof(f1757,plain,
( sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xE)
| ~ aScalar0(xH)
| ~ aScalar0(xE) ),
inference(superposition,[],[f228,f182]) ).
fof(f1774,plain,
( sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,xA) ),
inference(subsumption_resolution,[],[f1773,f175]) ).
fof(f1773,plain,
( sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ aScalar0(xA) ),
inference(subsumption_resolution,[],[f1750,f173]) ).
fof(f1750,plain,
( sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ aScalar0(xB)
| ~ aScalar0(xA) ),
inference(superposition,[],[f228,f162]) ).
fof(f1772,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,[],[f1771,f220]) ).
fof(f1771,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,[],[f1687,f185]) ).
fof(f1687,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,[],[f228,f225]) ).
fof(f228,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f1655,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ aScalar0(smndt0(xN)) ),
inference(subsumption_resolution,[],[f1614,f165]) ).
fof(f1614,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ aScalar0(xN)
| ~ aScalar0(smndt0(xN)) ),
inference(superposition,[],[f227,f600]) ).
fof(f1654,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,smndt0(xS))
| ~ aScalar0(smndt0(xS)) ),
inference(subsumption_resolution,[],[f1612,f177]) ).
fof(f1612,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,smndt0(xS))
| ~ aScalar0(xS)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[],[f227,f599]) ).
fof(f1653,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ aScalar0(smndt0(xP)) ),
inference(subsumption_resolution,[],[f1610,f181]) ).
fof(f1610,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ aScalar0(xP)
| ~ aScalar0(smndt0(xP)) ),
inference(superposition,[],[f227,f598]) ).
fof(f1652,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,smndt0(xR))
| ~ aScalar0(smndt0(xR)) ),
inference(subsumption_resolution,[],[f1608,f179]) ).
fof(f1608,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,smndt0(xR))
| ~ aScalar0(xR)
| ~ aScalar0(smndt0(xR)) ),
inference(superposition,[],[f227,f597]) ).
fof(f1651,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,smndt0(xH))
| ~ aScalar0(smndt0(xH)) ),
inference(subsumption_resolution,[],[f1606,f161]) ).
fof(f1606,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,smndt0(xH))
| ~ aScalar0(xH)
| ~ aScalar0(smndt0(xH)) ),
inference(superposition,[],[f227,f596]) ).
fof(f1650,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xG))
| ~ aScalar0(smndt0(xG)) ),
inference(subsumption_resolution,[],[f1649,f163]) ).
fof(f1649,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xG))
| ~ aScalar0(xG)
| ~ aScalar0(smndt0(xG)) ),
inference(subsumption_resolution,[],[f1604,f290]) ).
fof(f1604,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(sz0z00,smndt0(xG))
| ~ aScalar0(xG)
| ~ aScalar0(smndt0(xG)) ),
inference(superposition,[],[f227,f595]) ).
fof(f1648,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xF))
| ~ aScalar0(smndt0(xF)) ),
inference(subsumption_resolution,[],[f1647,f159]) ).
fof(f1647,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xF))
| ~ aScalar0(xF)
| ~ aScalar0(smndt0(xF)) ),
inference(subsumption_resolution,[],[f1602,f289]) ).
fof(f1602,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ sdtlseqdt0(sz0z00,smndt0(xF))
| ~ aScalar0(xF)
| ~ aScalar0(smndt0(xF)) ),
inference(superposition,[],[f227,f594]) ).
fof(f1646,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xE)
| ~ sdtlseqdt0(sz0z00,smndt0(xE))
| ~ aScalar0(smndt0(xE)) ),
inference(subsumption_resolution,[],[f1598,f171]) ).
fof(f1598,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xE)
| ~ sdtlseqdt0(sz0z00,smndt0(xE))
| ~ aScalar0(xE)
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[],[f227,f593]) ).
fof(f1645,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xD))
| ~ aScalar0(smndt0(xD)) ),
inference(subsumption_resolution,[],[f1644,f169]) ).
fof(f1644,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xD))
| ~ aScalar0(xD)
| ~ aScalar0(smndt0(xD)) ),
inference(subsumption_resolution,[],[f1588,f286]) ).
fof(f1588,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ sdtlseqdt0(sz0z00,smndt0(xD))
| ~ aScalar0(xD)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[],[f227,f592]) ).
fof(f1643,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xC))
| ~ aScalar0(smndt0(xC)) ),
inference(subsumption_resolution,[],[f1642,f167]) ).
fof(f1642,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xC))
| ~ aScalar0(xC)
| ~ aScalar0(smndt0(xC)) ),
inference(subsumption_resolution,[],[f1575,f285]) ).
fof(f1575,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ sdtlseqdt0(sz0z00,smndt0(xC))
| ~ aScalar0(xC)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[],[f227,f591]) ).
fof(f1641,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,smndt0(xB))
| ~ aScalar0(smndt0(xB)) ),
inference(subsumption_resolution,[],[f1561,f173]) ).
fof(f1561,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,smndt0(xB))
| ~ aScalar0(xB)
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[],[f227,f590]) ).
fof(f1640,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ sdtlseqdt0(sz0z00,smndt0(xA))
| ~ aScalar0(smndt0(xA)) ),
inference(subsumption_resolution,[],[f1546,f175]) ).
fof(f1546,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ sdtlseqdt0(sz0z00,smndt0(xA))
| ~ aScalar0(xA)
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[],[f227,f589]) ).
fof(f1639,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(sz0z00,xN)
| ~ aScalar0(smndt0(xN)) ),
inference(subsumption_resolution,[],[f1542,f165]) ).
fof(f1542,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(sz0z00,xN)
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(xN) ),
inference(superposition,[],[f227,f544]) ).
fof(f1638,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xS))
| ~ sdtlseqdt0(sz0z00,xS)
| ~ aScalar0(smndt0(xS)) ),
inference(subsumption_resolution,[],[f1541,f177]) ).
fof(f1541,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xS))
| ~ sdtlseqdt0(sz0z00,xS)
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(xS) ),
inference(superposition,[],[f227,f543]) ).
fof(f1637,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(smndt0(xP)) ),
inference(subsumption_resolution,[],[f1540,f181]) ).
fof(f1540,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(xP) ),
inference(superposition,[],[f227,f542]) ).
fof(f1636,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xR))
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(smndt0(xR)) ),
inference(subsumption_resolution,[],[f1539,f179]) ).
fof(f1539,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xR))
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(xR) ),
inference(superposition,[],[f227,f541]) ).
fof(f1635,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xH))
| ~ sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(smndt0(xH)) ),
inference(subsumption_resolution,[],[f1538,f161]) ).
fof(f1538,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xH))
| ~ sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(xH) ),
inference(superposition,[],[f227,f540]) ).
fof(f1634,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xG))
| ~ aScalar0(smndt0(xG)) ),
inference(subsumption_resolution,[],[f1633,f163]) ).
fof(f1633,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xG))
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(xG) ),
inference(subsumption_resolution,[],[f1537,f290]) ).
fof(f1537,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xG))
| ~ sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(xG) ),
inference(superposition,[],[f227,f539]) ).
fof(f1632,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xF))
| ~ aScalar0(smndt0(xF)) ),
inference(subsumption_resolution,[],[f1631,f159]) ).
fof(f1631,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xF))
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(xF) ),
inference(subsumption_resolution,[],[f1536,f289]) ).
fof(f1536,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xF))
| ~ sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(xF) ),
inference(superposition,[],[f227,f538]) ).
fof(f1630,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xE))
| ~ sdtlseqdt0(sz0z00,xE)
| ~ aScalar0(smndt0(xE)) ),
inference(subsumption_resolution,[],[f1535,f171]) ).
fof(f1535,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xE))
| ~ sdtlseqdt0(sz0z00,xE)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(xE) ),
inference(superposition,[],[f227,f537]) ).
fof(f1629,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xD))
| ~ aScalar0(smndt0(xD)) ),
inference(subsumption_resolution,[],[f1628,f169]) ).
fof(f1628,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xD))
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(xD) ),
inference(subsumption_resolution,[],[f1534,f286]) ).
fof(f1534,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xD))
| ~ sdtlseqdt0(sz0z00,xD)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(xD) ),
inference(superposition,[],[f227,f536]) ).
fof(f1627,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xC))
| ~ aScalar0(smndt0(xC)) ),
inference(subsumption_resolution,[],[f1626,f167]) ).
fof(f1626,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xC))
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(xC) ),
inference(subsumption_resolution,[],[f1533,f285]) ).
fof(f1533,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xC))
| ~ sdtlseqdt0(sz0z00,xC)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(xC) ),
inference(superposition,[],[f227,f535]) ).
fof(f1625,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xB))
| ~ sdtlseqdt0(sz0z00,xB)
| ~ aScalar0(smndt0(xB)) ),
inference(subsumption_resolution,[],[f1532,f173]) ).
fof(f1532,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xB))
| ~ sdtlseqdt0(sz0z00,xB)
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(xB) ),
inference(superposition,[],[f227,f534]) ).
fof(f1624,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xA))
| ~ sdtlseqdt0(sz0z00,xA)
| ~ aScalar0(smndt0(xA)) ),
inference(subsumption_resolution,[],[f1531,f175]) ).
fof(f1531,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xA))
| ~ sdtlseqdt0(sz0z00,xA)
| ~ aScalar0(smndt0(xA))
| ~ aScalar0(xA) ),
inference(superposition,[],[f227,f533]) ).
fof(f1619,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,[],[f1618,f219]) ).
fof(f1618,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,[],[f1481,f185]) ).
fof(f1481,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,[],[f227,f225]) ).
fof(f1442,plain,
! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xs)
| aNaturalNumber0(sK3(X0,xq))
| sP0(X0,xq) ),
inference(subsumption_resolution,[],[f1439,f149]) ).
fof(f1439,plain,
! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xs)
| aNaturalNumber0(sK3(X0,xq))
| sP0(X0,xq)
| ~ aVector0(xq) ),
inference(superposition,[],[f196,f243]) ).
fof(f1441,plain,
! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xs)
| aNaturalNumber0(sK3(X0,xp))
| sP0(X0,xp) ),
inference(subsumption_resolution,[],[f1438,f153]) ).
fof(f1438,plain,
! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xs)
| aNaturalNumber0(sK3(X0,xp))
| sP0(X0,xp)
| ~ aVector0(xp) ),
inference(superposition,[],[f196,f154]) ).
fof(f1440,plain,
! [X0] :
( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(xs))
| aNaturalNumber0(sK3(X0,xt))
| sP0(X0,xt) ),
inference(subsumption_resolution,[],[f1437,f158]) ).
fof(f1437,plain,
! [X0] :
( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(xs))
| aNaturalNumber0(sK3(X0,xt))
| sP0(X0,xt)
| ~ aVector0(xt) ),
inference(superposition,[],[f196,f142]) ).
fof(f196,plain,
! [X0,X1] :
( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| aNaturalNumber0(sK3(X0,X1))
| sP0(X0,X1)
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,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])],[f134,f135]) ).
fof(f135,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(f134,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,[],[f133]) ).
fof(f133,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,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) )
& ( ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f126]) ).
fof(f126,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(f1399,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,[],[f148,f225]) ).
fof(f148,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(f1361,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,[],[f147,f225]) ).
fof(f147,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(f232,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,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,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(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(f1217,plain,
smndt0(xN) = sdtpldt0(sz0z00,smndt0(xN)),
inference(resolution,[],[f335,f165]) ).
fof(f1216,plain,
smndt0(xS) = sdtpldt0(sz0z00,smndt0(xS)),
inference(resolution,[],[f335,f177]) ).
fof(f1215,plain,
smndt0(xP) = sdtpldt0(sz0z00,smndt0(xP)),
inference(resolution,[],[f335,f181]) ).
fof(f1214,plain,
smndt0(xR) = sdtpldt0(sz0z00,smndt0(xR)),
inference(resolution,[],[f335,f179]) ).
fof(f1213,plain,
smndt0(xH) = sdtpldt0(sz0z00,smndt0(xH)),
inference(resolution,[],[f335,f161]) ).
fof(f1212,plain,
smndt0(xG) = sdtpldt0(sz0z00,smndt0(xG)),
inference(resolution,[],[f335,f163]) ).
fof(f1211,plain,
smndt0(xF) = sdtpldt0(sz0z00,smndt0(xF)),
inference(resolution,[],[f335,f159]) ).
fof(f1210,plain,
smndt0(xE) = sdtpldt0(sz0z00,smndt0(xE)),
inference(resolution,[],[f335,f171]) ).
fof(f1209,plain,
smndt0(xD) = sdtpldt0(sz0z00,smndt0(xD)),
inference(resolution,[],[f335,f169]) ).
fof(f1208,plain,
smndt0(xC) = sdtpldt0(sz0z00,smndt0(xC)),
inference(resolution,[],[f335,f167]) ).
fof(f1207,plain,
smndt0(xB) = sdtpldt0(sz0z00,smndt0(xB)),
inference(resolution,[],[f335,f173]) ).
fof(f1206,plain,
smndt0(xA) = sdtpldt0(sz0z00,smndt0(xA)),
inference(resolution,[],[f335,f175]) ).
fof(f1205,plain,
! [X0] :
( smndt0(sdtasasdt0(X0,X0)) = sdtpldt0(sz0z00,smndt0(sdtasasdt0(X0,X0)))
| ~ aVector0(X0) ),
inference(resolution,[],[f335,f796]) ).
fof(f1202,plain,
smndt0(sdtlbdtrb0(xs,sz00)) = sdtpldt0(sz0z00,smndt0(sdtlbdtrb0(xs,sz00))),
inference(resolution,[],[f335,f573]) ).
fof(f1199,plain,
smndt0(sdtlbdtrb0(xt,sz00)) = sdtpldt0(sz0z00,smndt0(sdtlbdtrb0(xt,sz00))),
inference(resolution,[],[f335,f506]) ).
fof(f1198,plain,
! [X0,X1] :
( smndt0(sdtlbdtrb0(X0,X1)) = sdtpldt0(sz0z00,smndt0(sdtlbdtrb0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f335,f214]) ).
fof(f1197,plain,
! [X0] :
( smndt0(smndt0(X0)) = sdtpldt0(sz0z00,smndt0(smndt0(X0)))
| ~ aScalar0(X0) ),
inference(resolution,[],[f335,f199]) ).
fof(f1196,plain,
! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtpldt0(sz0z00,smndt0(sdtasdt0(X0,X1)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f335,f220]) ).
fof(f1193,plain,
! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtpldt0(sz0z00,smndt0(sdtpldt0(X0,X1)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f335,f219]) ).
fof(f335,plain,
! [X0] :
( ~ aScalar0(X0)
| smndt0(X0) = sdtpldt0(sz0z00,smndt0(X0)) ),
inference(resolution,[],[f292,f199]) ).
fof(f1048,plain,
smndt0(xN) = sdtpldt0(smndt0(xN),sz0z00),
inference(resolution,[],[f297,f165]) ).
fof(f1047,plain,
smndt0(xS) = sdtpldt0(smndt0(xS),sz0z00),
inference(resolution,[],[f297,f177]) ).
fof(f1046,plain,
smndt0(xP) = sdtpldt0(smndt0(xP),sz0z00),
inference(resolution,[],[f297,f181]) ).
fof(f1045,plain,
smndt0(xR) = sdtpldt0(smndt0(xR),sz0z00),
inference(resolution,[],[f297,f179]) ).
fof(f1044,plain,
smndt0(xH) = sdtpldt0(smndt0(xH),sz0z00),
inference(resolution,[],[f297,f161]) ).
fof(f230,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f1085,plain,
( sz0z00 = xG
| ~ sdtlseqdt0(xG,sz0z00) ),
inference(subsumption_resolution,[],[f1084,f163]) ).
fof(f1084,plain,
( sz0z00 = xG
| ~ sdtlseqdt0(xG,sz0z00)
| ~ aScalar0(xG) ),
inference(subsumption_resolution,[],[f1066,f185]) ).
fof(f1066,plain,
( sz0z00 = xG
| ~ sdtlseqdt0(xG,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xG) ),
inference(resolution,[],[f225,f290]) ).
fof(f1083,plain,
( sz0z00 = xF
| ~ sdtlseqdt0(xF,sz0z00) ),
inference(subsumption_resolution,[],[f1082,f159]) ).
fof(f1082,plain,
( sz0z00 = xF
| ~ sdtlseqdt0(xF,sz0z00)
| ~ aScalar0(xF) ),
inference(subsumption_resolution,[],[f1065,f185]) ).
fof(f1065,plain,
( sz0z00 = xF
| ~ sdtlseqdt0(xF,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xF) ),
inference(resolution,[],[f225,f289]) ).
fof(f1081,plain,
( sz0z00 = xD
| ~ sdtlseqdt0(xD,sz0z00) ),
inference(subsumption_resolution,[],[f1080,f169]) ).
fof(f1080,plain,
( sz0z00 = xD
| ~ sdtlseqdt0(xD,sz0z00)
| ~ aScalar0(xD) ),
inference(subsumption_resolution,[],[f1064,f185]) ).
fof(f1064,plain,
( sz0z00 = xD
| ~ sdtlseqdt0(xD,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xD) ),
inference(resolution,[],[f225,f286]) ).
fof(f1079,plain,
( sz0z00 = xC
| ~ sdtlseqdt0(xC,sz0z00) ),
inference(subsumption_resolution,[],[f1078,f167]) ).
fof(f1078,plain,
( sz0z00 = xC
| ~ sdtlseqdt0(xC,sz0z00)
| ~ aScalar0(xC) ),
inference(subsumption_resolution,[],[f1063,f185]) ).
fof(f1063,plain,
( sz0z00 = xC
| ~ sdtlseqdt0(xC,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xC) ),
inference(resolution,[],[f225,f285]) ).
fof(f1070,plain,
( sdtasdt0(xE,xE) = sdtasdt0(xC,xD)
| ~ sdtlseqdt0(sdtasdt0(xC,xD),sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD)) ),
inference(resolution,[],[f225,f146]) ).
fof(f1086,plain,
( xN = sdtasdt0(xP,xP)
| ~ sdtlseqdt0(xN,sdtasdt0(xP,xP))
| ~ aScalar0(sdtasdt0(xP,xP)) ),
inference(subsumption_resolution,[],[f1069,f165]) ).
fof(f1069,plain,
( xN = sdtasdt0(xP,xP)
| ~ sdtlseqdt0(xN,sdtasdt0(xP,xP))
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(xN) ),
inference(resolution,[],[f225,f143]) ).
fof(f1077,plain,
! [X0] :
( sz0z00 = sdtasasdt0(X0,X0)
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),sz0z00)
| ~ aVector0(X0) ),
inference(subsumption_resolution,[],[f1076,f796]) ).
fof(f1076,plain,
! [X0] :
( sz0z00 = sdtasasdt0(X0,X0)
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),sz0z00)
| ~ aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(subsumption_resolution,[],[f1062,f185]) ).
fof(f1062,plain,
! [X0] :
( sz0z00 = sdtasasdt0(X0,X0)
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(resolution,[],[f225,f190]) ).
fof(f1075,plain,
! [X0] :
( sz0z00 = sdtasdt0(X0,X0)
| ~ sdtlseqdt0(sdtasdt0(X0,X0),sz0z00)
| ~ aScalar0(X0) ),
inference(subsumption_resolution,[],[f1074,f220]) ).
fof(f1074,plain,
! [X0] :
( sz0z00 = sdtasdt0(X0,X0)
| ~ sdtlseqdt0(sdtasdt0(X0,X0),sz0z00)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(subsumption_resolution,[],[f1061,f185]) ).
fof(f1061,plain,
! [X0] :
( sz0z00 = sdtasdt0(X0,X0)
| ~ sdtlseqdt0(sdtasdt0(X0,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(resolution,[],[f225,f201]) ).
fof(f1043,plain,
smndt0(xG) = sdtpldt0(smndt0(xG),sz0z00),
inference(resolution,[],[f297,f163]) ).
fof(f1042,plain,
smndt0(xF) = sdtpldt0(smndt0(xF),sz0z00),
inference(resolution,[],[f297,f159]) ).
fof(f1041,plain,
smndt0(xE) = sdtpldt0(smndt0(xE),sz0z00),
inference(resolution,[],[f297,f171]) ).
fof(f1040,plain,
smndt0(xD) = sdtpldt0(smndt0(xD),sz0z00),
inference(resolution,[],[f297,f169]) ).
fof(f1039,plain,
smndt0(xC) = sdtpldt0(smndt0(xC),sz0z00),
inference(resolution,[],[f297,f167]) ).
fof(f1038,plain,
smndt0(xB) = sdtpldt0(smndt0(xB),sz0z00),
inference(resolution,[],[f297,f173]) ).
fof(f1037,plain,
smndt0(xA) = sdtpldt0(smndt0(xA),sz0z00),
inference(resolution,[],[f297,f175]) ).
fof(f1036,plain,
! [X0] :
( smndt0(sdtasasdt0(X0,X0)) = sdtpldt0(smndt0(sdtasasdt0(X0,X0)),sz0z00)
| ~ aVector0(X0) ),
inference(resolution,[],[f297,f796]) ).
fof(f1033,plain,
smndt0(sdtlbdtrb0(xs,sz00)) = sdtpldt0(smndt0(sdtlbdtrb0(xs,sz00)),sz0z00),
inference(resolution,[],[f297,f573]) ).
fof(f1030,plain,
smndt0(sdtlbdtrb0(xt,sz00)) = sdtpldt0(smndt0(sdtlbdtrb0(xt,sz00)),sz0z00),
inference(resolution,[],[f297,f506]) ).
fof(f1029,plain,
! [X0,X1] :
( smndt0(sdtlbdtrb0(X0,X1)) = sdtpldt0(smndt0(sdtlbdtrb0(X0,X1)),sz0z00)
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f297,f214]) ).
fof(f1028,plain,
! [X0] :
( smndt0(smndt0(X0)) = sdtpldt0(smndt0(smndt0(X0)),sz0z00)
| ~ aScalar0(X0) ),
inference(resolution,[],[f297,f199]) ).
fof(f1027,plain,
! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtpldt0(smndt0(sdtasdt0(X0,X1)),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f297,f220]) ).
fof(f1024,plain,
! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtpldt0(smndt0(sdtpldt0(X0,X1)),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f297,f219]) ).
fof(f297,plain,
! [X0] :
( ~ aScalar0(X0)
| smndt0(X0) = sdtpldt0(smndt0(X0),sz0z00) ),
inference(resolution,[],[f291,f199]) ).
fof(f986,plain,
( sz00 != szszuzczcdt0(aDimensionOf0(xs))
| ~ aNaturalNumber0(sK4(sz00)) ),
inference(inner_rewriting,[],[f983]) ).
fof(f1012,plain,
! [X0] :
( smndt0(sdtasdt0(X0,xN)) = sdtasdt0(smndt0(X0),xN)
| ~ aScalar0(X0) ),
inference(resolution,[],[f223,f165]) ).
fof(f1011,plain,
! [X0] :
( smndt0(sdtasdt0(X0,xS)) = sdtasdt0(smndt0(X0),xS)
| ~ aScalar0(X0) ),
inference(resolution,[],[f223,f177]) ).
fof(f1010,plain,
! [X0] :
( smndt0(sdtasdt0(X0,xP)) = sdtasdt0(smndt0(X0),xP)
| ~ aScalar0(X0) ),
inference(resolution,[],[f223,f181]) ).
fof(f1009,plain,
! [X0] :
( smndt0(sdtasdt0(X0,xR)) = sdtasdt0(smndt0(X0),xR)
| ~ aScalar0(X0) ),
inference(resolution,[],[f223,f179]) ).
fof(f1008,plain,
! [X0] :
( smndt0(sdtasdt0(X0,xH)) = sdtasdt0(smndt0(X0),xH)
| ~ aScalar0(X0) ),
inference(resolution,[],[f223,f161]) ).
fof(f1007,plain,
! [X0] :
( smndt0(sdtasdt0(X0,xG)) = sdtasdt0(smndt0(X0),xG)
| ~ aScalar0(X0) ),
inference(resolution,[],[f223,f163]) ).
fof(f1006,plain,
! [X0] :
( smndt0(sdtasdt0(X0,xF)) = sdtasdt0(smndt0(X0),xF)
| ~ aScalar0(X0) ),
inference(resolution,[],[f223,f159]) ).
fof(f1005,plain,
! [X0] :
( smndt0(sdtasdt0(X0,xE)) = sdtasdt0(smndt0(X0),xE)
| ~ aScalar0(X0) ),
inference(resolution,[],[f223,f171]) ).
fof(f1004,plain,
! [X0] :
( smndt0(sdtasdt0(X0,xD)) = sdtasdt0(smndt0(X0),xD)
| ~ aScalar0(X0) ),
inference(resolution,[],[f223,f169]) ).
fof(f1003,plain,
! [X0] :
( smndt0(sdtasdt0(X0,xC)) = sdtasdt0(smndt0(X0),xC)
| ~ aScalar0(X0) ),
inference(resolution,[],[f223,f167]) ).
fof(f1002,plain,
! [X0] :
( smndt0(sdtasdt0(X0,xB)) = sdtasdt0(smndt0(X0),xB)
| ~ aScalar0(X0) ),
inference(resolution,[],[f223,f173]) ).
fof(f1001,plain,
! [X0] :
( smndt0(sdtasdt0(X0,xA)) = sdtasdt0(smndt0(X0),xA)
| ~ aScalar0(X0) ),
inference(resolution,[],[f223,f175]) ).
fof(f1000,plain,
! [X0,X1] :
( smndt0(sdtasdt0(X0,sdtasasdt0(X1,X1))) = sdtasdt0(smndt0(X0),sdtasasdt0(X1,X1))
| ~ aScalar0(X0)
| ~ aVector0(X1) ),
inference(resolution,[],[f223,f796]) ).
fof(f997,plain,
! [X0] :
( smndt0(sdtasdt0(X0,sdtlbdtrb0(xs,sz00))) = sdtasdt0(smndt0(X0),sdtlbdtrb0(xs,sz00))
| ~ aScalar0(X0) ),
inference(resolution,[],[f223,f573]) ).
fof(f994,plain,
! [X0] :
( smndt0(sdtasdt0(X0,sdtlbdtrb0(xt,sz00))) = sdtasdt0(smndt0(X0),sdtlbdtrb0(xt,sz00))
| ~ aScalar0(X0) ),
inference(resolution,[],[f223,f506]) ).
fof(f993,plain,
! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtlbdtrb0(X1,X2))) = sdtasdt0(smndt0(X0),sdtlbdtrb0(X1,X2))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
inference(resolution,[],[f223,f214]) ).
fof(f992,plain,
! [X0,X1] :
( sdtasdt0(smndt0(X0),smndt0(X1)) = smndt0(sdtasdt0(X0,smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(resolution,[],[f223,f199]) ).
fof(f991,plain,
! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtasdt0(X1,X2))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(resolution,[],[f223,f220]) ).
fof(f988,plain,
! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtpldt0(X1,X2))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(resolution,[],[f223,f219]) ).
fof(f987,plain,
! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ),
inference(resolution,[],[f223,f185]) ).
fof(f223,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,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,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(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(f985,plain,
( aNaturalNumber0(szszuzczcdt0(aDimensionOf0(xs)))
| ~ aNaturalNumber0(sK4(szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(superposition,[],[f187,f823]) ).
fof(f984,plain,
( iLess0(sK4(szszuzczcdt0(aDimensionOf0(xs))),szszuzczcdt0(aDimensionOf0(xs)))
| ~ aNaturalNumber0(sK4(szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(superposition,[],[f186,f823]) ).
fof(f983,plain,
( sz00 != szszuzczcdt0(aDimensionOf0(xs))
| ~ aNaturalNumber0(sK4(szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(superposition,[],[f188,f823]) ).
fof(f982,plain,
! [X0] :
( szszuzczcdt0(X0) != szszuzczcdt0(aDimensionOf0(xs))
| sK4(szszuzczcdt0(aDimensionOf0(xs))) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(superposition,[],[f213,f823]) ).
fof(f981,plain,
! [X0] :
( szszuzczcdt0(X0) != szszuzczcdt0(aDimensionOf0(xs))
| sK4(szszuzczcdt0(aDimensionOf0(xs))) = X0
| ~ aNaturalNumber0(sK4(szszuzczcdt0(aDimensionOf0(xs))))
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f213,f823]) ).
fof(f823,plain,
szszuzczcdt0(aDimensionOf0(xs)) = szszuzczcdt0(sK4(szszuzczcdt0(aDimensionOf0(xs)))),
inference(resolution,[],[f647,f242]) ).
fof(f945,plain,
! [X0] :
( sdtasdt0(X0,smndt0(xN)) = smndt0(sdtasdt0(X0,xN))
| ~ aScalar0(X0) ),
inference(resolution,[],[f222,f165]) ).
fof(f944,plain,
! [X0] :
( sdtasdt0(X0,smndt0(xS)) = smndt0(sdtasdt0(X0,xS))
| ~ aScalar0(X0) ),
inference(resolution,[],[f222,f177]) ).
fof(f943,plain,
! [X0] :
( sdtasdt0(X0,smndt0(xP)) = smndt0(sdtasdt0(X0,xP))
| ~ aScalar0(X0) ),
inference(resolution,[],[f222,f181]) ).
fof(f942,plain,
! [X0] :
( sdtasdt0(X0,smndt0(xR)) = smndt0(sdtasdt0(X0,xR))
| ~ aScalar0(X0) ),
inference(resolution,[],[f222,f179]) ).
fof(f941,plain,
! [X0] :
( sdtasdt0(X0,smndt0(xH)) = smndt0(sdtasdt0(X0,xH))
| ~ aScalar0(X0) ),
inference(resolution,[],[f222,f161]) ).
fof(f940,plain,
! [X0] :
( sdtasdt0(X0,smndt0(xG)) = smndt0(sdtasdt0(X0,xG))
| ~ aScalar0(X0) ),
inference(resolution,[],[f222,f163]) ).
fof(f939,plain,
! [X0] :
( sdtasdt0(X0,smndt0(xF)) = smndt0(sdtasdt0(X0,xF))
| ~ aScalar0(X0) ),
inference(resolution,[],[f222,f159]) ).
fof(f938,plain,
! [X0] :
( sdtasdt0(X0,smndt0(xE)) = smndt0(sdtasdt0(X0,xE))
| ~ aScalar0(X0) ),
inference(resolution,[],[f222,f171]) ).
fof(f937,plain,
! [X0] :
( sdtasdt0(X0,smndt0(xD)) = smndt0(sdtasdt0(X0,xD))
| ~ aScalar0(X0) ),
inference(resolution,[],[f222,f169]) ).
fof(f936,plain,
! [X0] :
( sdtasdt0(X0,smndt0(xC)) = smndt0(sdtasdt0(X0,xC))
| ~ aScalar0(X0) ),
inference(resolution,[],[f222,f167]) ).
fof(f935,plain,
! [X0] :
( sdtasdt0(X0,smndt0(xB)) = smndt0(sdtasdt0(X0,xB))
| ~ aScalar0(X0) ),
inference(resolution,[],[f222,f173]) ).
fof(f934,plain,
! [X0] :
( sdtasdt0(X0,smndt0(xA)) = smndt0(sdtasdt0(X0,xA))
| ~ aScalar0(X0) ),
inference(resolution,[],[f222,f175]) ).
fof(f933,plain,
! [X0,X1] :
( sdtasdt0(X0,smndt0(sdtasasdt0(X1,X1))) = smndt0(sdtasdt0(X0,sdtasasdt0(X1,X1)))
| ~ aScalar0(X0)
| ~ aVector0(X1) ),
inference(resolution,[],[f222,f796]) ).
fof(f932,plain,
! [X0] :
( sdtasdt0(X0,smndt0(sdtlbdtrb0(xs,sz00))) = smndt0(sdtasdt0(X0,sdtlbdtrb0(xs,sz00)))
| ~ aScalar0(X0) ),
inference(resolution,[],[f222,f573]) ).
fof(f929,plain,
! [X0] :
( sdtasdt0(X0,smndt0(sdtlbdtrb0(xt,sz00))) = smndt0(sdtasdt0(X0,sdtlbdtrb0(xt,sz00)))
| ~ aScalar0(X0) ),
inference(resolution,[],[f222,f506]) ).
fof(f928,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtlbdtrb0(X1,X2))) = smndt0(sdtasdt0(X0,sdtlbdtrb0(X1,X2)))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
inference(resolution,[],[f222,f214]) ).
fof(f927,plain,
! [X0,X1] :
( sdtasdt0(X0,smndt0(smndt0(X1))) = smndt0(sdtasdt0(X0,smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(resolution,[],[f222,f199]) ).
fof(f926,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtasdt0(X1,X2))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(resolution,[],[f222,f220]) ).
fof(f923,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtpldt0(X1,X2))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(resolution,[],[f222,f219]) ).
fof(f222,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f834,plain,
( sz00 != szszuzczcdt0(sz00)
| ~ aNaturalNumber0(sK4(sz00)) ),
inference(inner_rewriting,[],[f831]) ).
fof(f872,plain,
! [X0] :
( sdtasdt0(X0,xN) = sdtasdt0(smndt0(X0),smndt0(xN))
| ~ aScalar0(X0) ),
inference(resolution,[],[f221,f165]) ).
fof(f871,plain,
! [X0] :
( sdtasdt0(X0,xS) = sdtasdt0(smndt0(X0),smndt0(xS))
| ~ aScalar0(X0) ),
inference(resolution,[],[f221,f177]) ).
fof(f870,plain,
! [X0] :
( sdtasdt0(X0,xP) = sdtasdt0(smndt0(X0),smndt0(xP))
| ~ aScalar0(X0) ),
inference(resolution,[],[f221,f181]) ).
fof(f869,plain,
! [X0] :
( sdtasdt0(X0,xR) = sdtasdt0(smndt0(X0),smndt0(xR))
| ~ aScalar0(X0) ),
inference(resolution,[],[f221,f179]) ).
fof(f868,plain,
! [X0] :
( sdtasdt0(X0,xH) = sdtasdt0(smndt0(X0),smndt0(xH))
| ~ aScalar0(X0) ),
inference(resolution,[],[f221,f161]) ).
fof(f867,plain,
! [X0] :
( sdtasdt0(X0,xG) = sdtasdt0(smndt0(X0),smndt0(xG))
| ~ aScalar0(X0) ),
inference(resolution,[],[f221,f163]) ).
fof(f866,plain,
! [X0] :
( sdtasdt0(X0,xF) = sdtasdt0(smndt0(X0),smndt0(xF))
| ~ aScalar0(X0) ),
inference(resolution,[],[f221,f159]) ).
fof(f865,plain,
! [X0] :
( sdtasdt0(X0,xE) = sdtasdt0(smndt0(X0),smndt0(xE))
| ~ aScalar0(X0) ),
inference(resolution,[],[f221,f171]) ).
fof(f864,plain,
! [X0] :
( sdtasdt0(X0,xD) = sdtasdt0(smndt0(X0),smndt0(xD))
| ~ aScalar0(X0) ),
inference(resolution,[],[f221,f169]) ).
fof(f863,plain,
! [X0] :
( sdtasdt0(X0,xC) = sdtasdt0(smndt0(X0),smndt0(xC))
| ~ aScalar0(X0) ),
inference(resolution,[],[f221,f167]) ).
fof(f862,plain,
! [X0] :
( sdtasdt0(X0,xB) = sdtasdt0(smndt0(X0),smndt0(xB))
| ~ aScalar0(X0) ),
inference(resolution,[],[f221,f173]) ).
fof(f861,plain,
! [X0] :
( sdtasdt0(X0,xA) = sdtasdt0(smndt0(X0),smndt0(xA))
| ~ aScalar0(X0) ),
inference(resolution,[],[f221,f175]) ).
fof(f860,plain,
! [X0,X1] :
( sdtasdt0(X0,sdtasasdt0(X1,X1)) = sdtasdt0(smndt0(X0),smndt0(sdtasasdt0(X1,X1)))
| ~ aScalar0(X0)
| ~ aVector0(X1) ),
inference(resolution,[],[f221,f796]) ).
fof(f859,plain,
! [X0] :
( sdtasdt0(X0,sdtlbdtrb0(xs,sz00)) = sdtasdt0(smndt0(X0),smndt0(sdtlbdtrb0(xs,sz00)))
| ~ aScalar0(X0) ),
inference(resolution,[],[f221,f573]) ).
fof(f858,plain,
! [X0] :
( sdtasdt0(X0,sdtlbdtrb0(xt,sz00)) = sdtasdt0(smndt0(X0),smndt0(sdtlbdtrb0(xt,sz00)))
| ~ aScalar0(X0) ),
inference(resolution,[],[f221,f506]) ).
fof(f857,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtlbdtrb0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtlbdtrb0(X1,X2)))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
inference(resolution,[],[f221,f214]) ).
fof(f856,plain,
! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X0),smndt0(smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(resolution,[],[f221,f199]) ).
fof(f855,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(resolution,[],[f221,f220]) ).
fof(f852,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(resolution,[],[f221,f219]) ).
fof(f221,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,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(f833,plain,
( aNaturalNumber0(szszuzczcdt0(sz00))
| ~ aNaturalNumber0(sK4(szszuzczcdt0(sz00))) ),
inference(superposition,[],[f187,f820]) ).
fof(f832,plain,
( iLess0(sK4(szszuzczcdt0(sz00)),szszuzczcdt0(sz00))
| ~ aNaturalNumber0(sK4(szszuzczcdt0(sz00))) ),
inference(superposition,[],[f186,f820]) ).
fof(f831,plain,
( sz00 != szszuzczcdt0(sz00)
| ~ aNaturalNumber0(sK4(szszuzczcdt0(sz00))) ),
inference(superposition,[],[f188,f820]) ).
fof(f830,plain,
! [X0] :
( szszuzczcdt0(X0) != szszuzczcdt0(sz00)
| sK4(szszuzczcdt0(sz00)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(szszuzczcdt0(sz00))) ),
inference(superposition,[],[f213,f820]) ).
fof(f829,plain,
! [X0] :
( szszuzczcdt0(X0) != szszuzczcdt0(sz00)
| sK4(szszuzczcdt0(sz00)) = X0
| ~ aNaturalNumber0(sK4(szszuzczcdt0(sz00)))
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f213,f820]) ).
fof(f820,plain,
szszuzczcdt0(sz00) = szszuzczcdt0(sK4(szszuzczcdt0(sz00))),
inference(resolution,[],[f647,f184]) ).
fof(f826,plain,
! [X0] :
( szszuzczcdt0(sK4(X0)) = szszuzczcdt0(sK4(szszuzczcdt0(sK4(X0))))
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f647,f211]) ).
fof(f822,plain,
! [X0] :
( szszuzczcdt0(aDimensionOf0(X0)) = szszuzczcdt0(sK4(szszuzczcdt0(aDimensionOf0(X0))))
| ~ aVector0(X0) ),
inference(resolution,[],[f647,f189]) ).
fof(f821,plain,
! [X0] :
( szszuzczcdt0(szszuzczcdt0(X0)) = szszuzczcdt0(sK4(szszuzczcdt0(szszuzczcdt0(X0))))
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f647,f187]) ).
fof(f647,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK4(szszuzczcdt0(X0))) ),
inference(subsumption_resolution,[],[f641,f188]) ).
fof(f641,plain,
! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK4(szszuzczcdt0(X0)))
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f212,f187]) ).
fof(f814,plain,
! [X0] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0)))
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(resolution,[],[f606,f198]) ).
fof(f606,plain,
! [X0] :
( ~ sP1(X0)
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0))) ),
inference(resolution,[],[f194,f239]) ).
fof(f753,plain,
sz0z00 = sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(xs,sz00))),
inference(resolution,[],[f366,f573]) ).
fof(f752,plain,
sz0z00 = sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(xt,sz00))),
inference(resolution,[],[f366,f506]) ).
fof(f624,plain,
sz0z00 = sdtasdt0(smndt0(sdtlbdtrb0(xs,sz00)),sz0z00),
inference(resolution,[],[f351,f573]) ).
fof(f623,plain,
sz0z00 = sdtasdt0(smndt0(sdtlbdtrb0(xt,sz00)),sz0z00),
inference(resolution,[],[f351,f506]) ).
fof(f807,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasasdt0(X0,X0))) ),
inference(resolution,[],[f796,f366]) ).
fof(f806,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(smndt0(sdtasasdt0(X0,X0)),sz0z00) ),
inference(resolution,[],[f796,f351]) ).
fof(f805,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtpldt0(smndt0(sdtasasdt0(X0,X0)),sdtasasdt0(X0,X0)) ),
inference(resolution,[],[f796,f349]) ).
fof(f804,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtpldt0(sdtasasdt0(X0,X0),smndt0(sdtasasdt0(X0,X0))) ),
inference(resolution,[],[f796,f348]) ).
fof(f803,plain,
! [X0] :
( ~ aVector0(X0)
| sdtasasdt0(X0,X0) = smndt0(smndt0(sdtasasdt0(X0,X0))) ),
inference(resolution,[],[f796,f295]) ).
fof(f802,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasasdt0(X0,X0)) ),
inference(resolution,[],[f796,f294]) ).
fof(f801,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sdtasasdt0(X0,X0),sz0z00) ),
inference(resolution,[],[f796,f293]) ).
fof(f800,plain,
! [X0] :
( ~ aVector0(X0)
| sdtasasdt0(X0,X0) = sdtpldt0(sz0z00,sdtasasdt0(X0,X0)) ),
inference(resolution,[],[f796,f292]) ).
fof(f799,plain,
! [X0] :
( ~ aVector0(X0)
| sdtasasdt0(X0,X0) = sdtpldt0(sdtasasdt0(X0,X0),sz0z00) ),
inference(resolution,[],[f796,f291]) ).
fof(f796,plain,
! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(duplicate_literal_removal,[],[f795]) ).
fof(f795,plain,
! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0)
| ~ aVector0(X0) ),
inference(equality_resolution,[],[f215]) ).
fof(f798,plain,
! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xs)
| aScalar0(sdtasasdt0(X0,xt))
| ~ aVector0(X0) ),
inference(subsumption_resolution,[],[f794,f158]) ).
fof(f794,plain,
! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xs)
| aScalar0(sdtasasdt0(X0,xt))
| ~ aVector0(xt)
| ~ aVector0(X0) ),
inference(superposition,[],[f215,f142]) ).
fof(f797,plain,
! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xs)
| aScalar0(sdtasasdt0(xt,X0))
| ~ aVector0(X0) ),
inference(subsumption_resolution,[],[f793,f158]) ).
fof(f793,plain,
! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xs)
| aScalar0(sdtasasdt0(xt,X0))
| ~ aVector0(X0)
| ~ aVector0(xt) ),
inference(superposition,[],[f215,f142]) ).
fof(f215,plain,
! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1))
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f90]) ).
fof(f90,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(f765,plain,
sz0z00 = sdtasdt0(sz0z00,smndt0(xN)),
inference(resolution,[],[f366,f165]) ).
fof(f764,plain,
sz0z00 = sdtasdt0(sz0z00,smndt0(xS)),
inference(resolution,[],[f366,f177]) ).
fof(f763,plain,
sz0z00 = sdtasdt0(sz0z00,smndt0(xP)),
inference(resolution,[],[f366,f181]) ).
fof(f762,plain,
sz0z00 = sdtasdt0(sz0z00,smndt0(xR)),
inference(resolution,[],[f366,f179]) ).
fof(f761,plain,
sz0z00 = sdtasdt0(sz0z00,smndt0(xH)),
inference(resolution,[],[f366,f161]) ).
fof(f760,plain,
sz0z00 = sdtasdt0(sz0z00,smndt0(xG)),
inference(resolution,[],[f366,f163]) ).
fof(f759,plain,
sz0z00 = sdtasdt0(sz0z00,smndt0(xF)),
inference(resolution,[],[f366,f159]) ).
fof(f758,plain,
sz0z00 = sdtasdt0(sz0z00,smndt0(xE)),
inference(resolution,[],[f366,f171]) ).
fof(f757,plain,
sz0z00 = sdtasdt0(sz0z00,smndt0(xD)),
inference(resolution,[],[f366,f169]) ).
fof(f775,plain,
! [X0] :
( szszuzczcdt0(X0) != aDimensionOf0(xs)
| sK4(aDimensionOf0(xs)) = X0
| ~ aNaturalNumber0(sK4(aDimensionOf0(xs)))
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f213,f648]) ).
fof(f772,plain,
! [X0] :
( szszuzczcdt0(X0) != aDimensionOf0(xs)
| sK4(aDimensionOf0(xs)) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(aDimensionOf0(xs))) ),
inference(superposition,[],[f213,f648]) ).
fof(f213,plain,
! [X0,X1] :
( szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,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(f756,plain,
sz0z00 = sdtasdt0(sz0z00,smndt0(xC)),
inference(resolution,[],[f366,f167]) ).
fof(f755,plain,
sz0z00 = sdtasdt0(sz0z00,smndt0(xB)),
inference(resolution,[],[f366,f173]) ).
fof(f754,plain,
sz0z00 = sdtasdt0(sz0z00,smndt0(xA)),
inference(resolution,[],[f366,f175]) ).
fof(f751,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f366,f214]) ).
fof(f750,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(X0)))
| ~ aScalar0(X0) ),
inference(resolution,[],[f366,f199]) ).
fof(f749,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasdt0(X0,X1)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f366,f220]) ).
fof(f746,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtpldt0(X0,X1)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f366,f219]) ).
fof(f366,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,smndt0(X0)) ),
inference(resolution,[],[f294,f199]) ).
fof(f735,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(X1,X0) = sdtlbdtrb0(sziznziztdt0(X1),X0)
| ~ sP1(X1) ),
inference(resolution,[],[f195,f239]) ).
fof(f195,plain,
! [X3,X0,X1] :
( ~ sP0(X0,X1)
| ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3) ),
inference(cnf_transformation,[],[f136]) ).
fof(f660,plain,
( iLess0(sK4(aDimensionOf0(xs)),aDimensionOf0(xs))
| ~ aNaturalNumber0(sK4(aDimensionOf0(xs))) ),
inference(superposition,[],[f186,f648]) ).
fof(f648,plain,
aDimensionOf0(xs) = szszuzczcdt0(sK4(aDimensionOf0(xs))),
inference(subsumption_resolution,[],[f643,f141]) ).
fof(f643,plain,
( sz00 = aDimensionOf0(xs)
| aDimensionOf0(xs) = szszuzczcdt0(sK4(aDimensionOf0(xs))) ),
inference(resolution,[],[f212,f242]) ).
fof(f636,plain,
sz0z00 = sdtasdt0(smndt0(xN),sz0z00),
inference(resolution,[],[f351,f165]) ).
fof(f635,plain,
sz0z00 = sdtasdt0(smndt0(xS),sz0z00),
inference(resolution,[],[f351,f177]) ).
fof(f634,plain,
sz0z00 = sdtasdt0(smndt0(xP),sz0z00),
inference(resolution,[],[f351,f181]) ).
fof(f633,plain,
sz0z00 = sdtasdt0(smndt0(xR),sz0z00),
inference(resolution,[],[f351,f179]) ).
fof(f632,plain,
sz0z00 = sdtasdt0(smndt0(xH),sz0z00),
inference(resolution,[],[f351,f161]) ).
fof(f631,plain,
sz0z00 = sdtasdt0(smndt0(xG),sz0z00),
inference(resolution,[],[f351,f163]) ).
fof(f630,plain,
sz0z00 = sdtasdt0(smndt0(xF),sz0z00),
inference(resolution,[],[f351,f159]) ).
fof(f629,plain,
sz0z00 = sdtasdt0(smndt0(xE),sz0z00),
inference(resolution,[],[f351,f171]) ).
fof(f628,plain,
sz0z00 = sdtasdt0(smndt0(xD),sz0z00),
inference(resolution,[],[f351,f169]) ).
fof(f627,plain,
sz0z00 = sdtasdt0(smndt0(xC),sz0z00),
inference(resolution,[],[f351,f167]) ).
fof(f646,plain,
! [X0] :
( sz00 = sK4(X0)
| sK4(X0) = szszuzczcdt0(sK4(sK4(X0)))
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f212,f211]) ).
fof(f642,plain,
! [X0] :
( sz00 = aDimensionOf0(X0)
| aDimensionOf0(X0) = szszuzczcdt0(sK4(aDimensionOf0(X0)))
| ~ aVector0(X0) ),
inference(resolution,[],[f212,f189]) ).
fof(f212,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| szszuzczcdt0(sK4(X0)) = X0 ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ( szszuzczcdt0(sK4(X0)) = X0
& aNaturalNumber0(sK4(X0)) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f85,f138]) ).
fof(f138,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) )
=> ( szszuzczcdt0(sK4(X0)) = X0
& aNaturalNumber0(sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,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(f626,plain,
sz0z00 = sdtasdt0(smndt0(xB),sz0z00),
inference(resolution,[],[f351,f173]) ).
fof(f625,plain,
sz0z00 = sdtasdt0(smndt0(xA),sz0z00),
inference(resolution,[],[f351,f175]) ).
fof(f622,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(smndt0(sdtlbdtrb0(X0,X1)),sz0z00)
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f351,f214]) ).
fof(f621,plain,
! [X0] :
( sz0z00 = sdtasdt0(smndt0(smndt0(X0)),sz0z00)
| ~ aScalar0(X0) ),
inference(resolution,[],[f351,f199]) ).
fof(f620,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(smndt0(sdtasdt0(X0,X1)),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f351,f220]) ).
fof(f619,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(smndt0(sdtpldt0(X0,X1)),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f351,f219]) ).
fof(f351,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(smndt0(X0),sz0z00) ),
inference(resolution,[],[f293,f199]) ).
fof(f600,plain,
sz0z00 = sdtpldt0(smndt0(xN),xN),
inference(resolution,[],[f349,f165]) ).
fof(f599,plain,
sz0z00 = sdtpldt0(smndt0(xS),xS),
inference(resolution,[],[f349,f177]) ).
fof(f598,plain,
sz0z00 = sdtpldt0(smndt0(xP),xP),
inference(resolution,[],[f349,f181]) ).
fof(f597,plain,
sz0z00 = sdtpldt0(smndt0(xR),xR),
inference(resolution,[],[f349,f179]) ).
fof(f596,plain,
sz0z00 = sdtpldt0(smndt0(xH),xH),
inference(resolution,[],[f349,f161]) ).
fof(f595,plain,
sz0z00 = sdtpldt0(smndt0(xG),xG),
inference(resolution,[],[f349,f163]) ).
fof(f594,plain,
sz0z00 = sdtpldt0(smndt0(xF),xF),
inference(resolution,[],[f349,f159]) ).
fof(f593,plain,
sz0z00 = sdtpldt0(smndt0(xE),xE),
inference(resolution,[],[f349,f171]) ).
fof(f194,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1)) ),
inference(cnf_transformation,[],[f136]) ).
fof(f592,plain,
sz0z00 = sdtpldt0(smndt0(xD),xD),
inference(resolution,[],[f349,f169]) ).
fof(f591,plain,
sz0z00 = sdtpldt0(smndt0(xC),xC),
inference(resolution,[],[f349,f167]) ).
fof(f590,plain,
sz0z00 = sdtpldt0(smndt0(xB),xB),
inference(resolution,[],[f349,f173]) ).
fof(f589,plain,
sz0z00 = sdtpldt0(smndt0(xA),xA),
inference(resolution,[],[f349,f175]) ).
fof(f588,plain,
sz0z00 = sdtpldt0(smndt0(sdtlbdtrb0(xs,sz00)),sdtlbdtrb0(xs,sz00)),
inference(resolution,[],[f349,f573]) ).
fof(f587,plain,
sz0z00 = sdtpldt0(smndt0(sdtlbdtrb0(xt,sz00)),sdtlbdtrb0(xt,sz00)),
inference(resolution,[],[f349,f506]) ).
fof(f586,plain,
! [X0,X1] :
( sz0z00 = sdtpldt0(smndt0(sdtlbdtrb0(X0,X1)),sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f349,f214]) ).
fof(f585,plain,
! [X0] :
( sz0z00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(X0))
| ~ aScalar0(X0) ),
inference(resolution,[],[f349,f199]) ).
fof(f584,plain,
! [X0,X1] :
( sz0z00 = sdtpldt0(smndt0(sdtasdt0(X0,X1)),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f349,f220]) ).
fof(f583,plain,
! [X0,X1] :
( sz0z00 = sdtpldt0(smndt0(sdtpldt0(X0,X1)),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f349,f219]) ).
fof(f349,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(X0),X0) ),
inference(resolution,[],[f207,f210]) ).
fof(f577,plain,
sz0z00 = sdtasdt0(sdtlbdtrb0(xs,sz00),sz0z00),
inference(resolution,[],[f573,f293]) ).
fof(f576,plain,
sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xs,sz00)),
inference(resolution,[],[f573,f294]) ).
fof(f579,plain,
sdtlbdtrb0(xs,sz00) = sdtpldt0(sdtlbdtrb0(xs,sz00),sz0z00),
inference(resolution,[],[f573,f291]) ).
fof(f578,plain,
sdtlbdtrb0(xs,sz00) = sdtpldt0(sz0z00,sdtlbdtrb0(xs,sz00)),
inference(resolution,[],[f573,f292]) ).
fof(f575,plain,
sdtlbdtrb0(xs,sz00) = smndt0(smndt0(sdtlbdtrb0(xs,sz00))),
inference(resolution,[],[f573,f295]) ).
fof(f574,plain,
sz0z00 = sdtpldt0(sdtlbdtrb0(xs,sz00),smndt0(sdtlbdtrb0(xs,sz00))),
inference(resolution,[],[f573,f348]) ).
fof(f573,plain,
aScalar0(sdtlbdtrb0(xs,sz00)),
inference(subsumption_resolution,[],[f572,f153]) ).
fof(f572,plain,
( aScalar0(sdtlbdtrb0(xs,sz00))
| ~ aVector0(xp) ),
inference(subsumption_resolution,[],[f571,f184]) ).
fof(f571,plain,
( aScalar0(sdtlbdtrb0(xs,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aVector0(xp) ),
inference(superposition,[],[f214,f546]) ).
fof(f546,plain,
sdtlbdtrb0(xp,sz00) = sdtlbdtrb0(xs,sz00),
inference(resolution,[],[f155,f184]) ).
fof(f553,plain,
xA = sdtlbdtrb0(xp,aDimensionOf0(xs)),
inference(forward_demodulation,[],[f549,f176]) ).
fof(f549,plain,
sdtlbdtrb0(xs,aDimensionOf0(xs)) = sdtlbdtrb0(xp,aDimensionOf0(xs)),
inference(resolution,[],[f155,f242]) ).
fof(f544,plain,
sz0z00 = sdtpldt0(xN,smndt0(xN)),
inference(resolution,[],[f348,f165]) ).
fof(f192,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| sziznziztdt0(X0) = X1
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( ( sziznziztdt0(X0) = X1
| ~ sP0(X0,X1) )
& ( sP0(X0,X1)
| sziznziztdt0(X0) != X1 ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( sziznziztdt0(X0) = X1
<=> sP0(X0,X1) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f543,plain,
sz0z00 = sdtpldt0(xS,smndt0(xS)),
inference(resolution,[],[f348,f177]) ).
fof(f542,plain,
sz0z00 = sdtpldt0(xP,smndt0(xP)),
inference(resolution,[],[f348,f181]) ).
fof(f541,plain,
sz0z00 = sdtpldt0(xR,smndt0(xR)),
inference(resolution,[],[f348,f179]) ).
fof(f540,plain,
sz0z00 = sdtpldt0(xH,smndt0(xH)),
inference(resolution,[],[f348,f161]) ).
fof(f539,plain,
sz0z00 = sdtpldt0(xG,smndt0(xG)),
inference(resolution,[],[f348,f163]) ).
fof(f538,plain,
sz0z00 = sdtpldt0(xF,smndt0(xF)),
inference(resolution,[],[f348,f159]) ).
fof(f537,plain,
sz0z00 = sdtpldt0(xE,smndt0(xE)),
inference(resolution,[],[f348,f171]) ).
fof(f536,plain,
sz0z00 = sdtpldt0(xD,smndt0(xD)),
inference(resolution,[],[f348,f169]) ).
fof(f535,plain,
sz0z00 = sdtpldt0(xC,smndt0(xC)),
inference(resolution,[],[f348,f167]) ).
fof(f534,plain,
sz0z00 = sdtpldt0(xB,smndt0(xB)),
inference(resolution,[],[f348,f173]) ).
fof(f533,plain,
sz0z00 = sdtpldt0(xA,smndt0(xA)),
inference(resolution,[],[f348,f175]) ).
fof(f552,plain,
! [X0] :
( sdtlbdtrb0(xp,sK4(X0)) = sdtlbdtrb0(xs,sK4(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f155,f211]) ).
fof(f548,plain,
! [X0] :
( sdtlbdtrb0(xp,aDimensionOf0(X0)) = sdtlbdtrb0(xs,aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(resolution,[],[f155,f189]) ).
fof(f547,plain,
! [X0] :
( sdtlbdtrb0(xp,szszuzczcdt0(X0)) = sdtlbdtrb0(xs,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f155,f187]) ).
fof(f155,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( xp = sziznziztdt0(xs)
& ! [X0] :
( sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0)
| ~ aNaturalNumber0(X0) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp))
& aVector0(xp) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
( xp = sziznziztdt0(xs)
& ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp))
& aVector0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1709) ).
fof(f532,plain,
sz0z00 = sdtpldt0(sdtlbdtrb0(xt,sz00),smndt0(sdtlbdtrb0(xt,sz00))),
inference(resolution,[],[f348,f506]) ).
fof(f531,plain,
! [X0,X1] :
( sz0z00 = sdtpldt0(sdtlbdtrb0(X0,X1),smndt0(sdtlbdtrb0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f348,f214]) ).
fof(f530,plain,
! [X0] :
( sz0z00 = sdtpldt0(smndt0(X0),smndt0(smndt0(X0)))
| ~ aScalar0(X0) ),
inference(resolution,[],[f348,f199]) ).
fof(f529,plain,
! [X0,X1] :
( sz0z00 = sdtpldt0(sdtasdt0(X0,X1),smndt0(sdtasdt0(X0,X1)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f348,f220]) ).
fof(f528,plain,
! [X0,X1] :
( sz0z00 = sdtpldt0(sdtpldt0(X0,X1),smndt0(sdtpldt0(X0,X1)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f348,f219]) ).
fof(f348,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(X0,smndt0(X0)) ),
inference(resolution,[],[f206,f210]) ).
fof(f248,plain,
( iLess0(aDimensionOf0(xq),aDimensionOf0(xs))
| ~ aNaturalNumber0(aDimensionOf0(xq)) ),
inference(superposition,[],[f186,f243]) ).
fof(f509,plain,
sz0z00 = sdtasdt0(sdtlbdtrb0(xt,sz00),sz0z00),
inference(resolution,[],[f506,f293]) ).
fof(f508,plain,
sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xt,sz00)),
inference(resolution,[],[f506,f294]) ).
fof(f511,plain,
sdtlbdtrb0(xt,sz00) = sdtpldt0(sdtlbdtrb0(xt,sz00),sz0z00),
inference(resolution,[],[f506,f291]) ).
fof(f510,plain,
sdtlbdtrb0(xt,sz00) = sdtpldt0(sz0z00,sdtlbdtrb0(xt,sz00)),
inference(resolution,[],[f506,f292]) ).
fof(f507,plain,
sdtlbdtrb0(xt,sz00) = smndt0(smndt0(sdtlbdtrb0(xt,sz00))),
inference(resolution,[],[f506,f295]) ).
fof(f506,plain,
aScalar0(sdtlbdtrb0(xt,sz00)),
inference(subsumption_resolution,[],[f505,f149]) ).
fof(f505,plain,
( aScalar0(sdtlbdtrb0(xt,sz00))
| ~ aVector0(xq) ),
inference(subsumption_resolution,[],[f504,f184]) ).
fof(f504,plain,
( aScalar0(sdtlbdtrb0(xt,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aVector0(xq) ),
inference(superposition,[],[f214,f496]) ).
fof(f496,plain,
sdtlbdtrb0(xq,sz00) = sdtlbdtrb0(xt,sz00),
inference(resolution,[],[f151,f184]) ).
fof(f502,plain,
xB = sdtlbdtrb0(xq,aDimensionOf0(xs)),
inference(forward_demodulation,[],[f499,f245]) ).
fof(f499,plain,
sdtlbdtrb0(xt,aDimensionOf0(xs)) = sdtlbdtrb0(xq,aDimensionOf0(xs)),
inference(resolution,[],[f151,f242]) ).
fof(f501,plain,
! [X0] :
( sdtlbdtrb0(xq,sK4(X0)) = sdtlbdtrb0(xt,sK4(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f151,f211]) ).
fof(f498,plain,
! [X0] :
( sdtlbdtrb0(xq,aDimensionOf0(X0)) = sdtlbdtrb0(xt,aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(resolution,[],[f151,f189]) ).
fof(f497,plain,
! [X0] :
( sdtlbdtrb0(xq,szszuzczcdt0(X0)) = sdtlbdtrb0(xt,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f151,f187]) ).
fof(f151,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( xq = sziznziztdt0(xt)
& ! [X0] :
( sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0)
| ~ aNaturalNumber0(X0) )
& aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq))
& aVector0(xq) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
( xq = sziznziztdt0(xt)
& ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0) )
& aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq))
& aVector0(xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1726) ).
fof(f247,plain,
( iLess0(aDimensionOf0(xp),aDimensionOf0(xs))
| ~ aNaturalNumber0(aDimensionOf0(xp)) ),
inference(superposition,[],[f186,f154]) ).
fof(f448,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz0z00) ),
inference(resolution,[],[f220,f291]) ).
fof(f447,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sz0z00,sdtasdt0(X1,X0)) ),
inference(resolution,[],[f220,f292]) ).
fof(f446,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(sdtasdt0(X1,X0),sz0z00) ),
inference(resolution,[],[f220,f293]) ).
fof(f445,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X1,X0)) ),
inference(resolution,[],[f220,f294]) ).
fof(f444,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,X0) = smndt0(smndt0(sdtasdt0(X1,X0))) ),
inference(resolution,[],[f220,f295]) ).
fof(f220,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,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(f399,plain,
xN = smndt0(smndt0(xN)),
inference(resolution,[],[f295,f165]) ).
fof(f398,plain,
xS = smndt0(smndt0(xS)),
inference(resolution,[],[f295,f177]) ).
fof(f397,plain,
xP = smndt0(smndt0(xP)),
inference(resolution,[],[f295,f181]) ).
fof(f396,plain,
xR = smndt0(smndt0(xR)),
inference(resolution,[],[f295,f179]) ).
fof(f395,plain,
xH = smndt0(smndt0(xH)),
inference(resolution,[],[f295,f161]) ).
fof(f394,plain,
xG = smndt0(smndt0(xG)),
inference(resolution,[],[f295,f163]) ).
fof(f393,plain,
xF = smndt0(smndt0(xF)),
inference(resolution,[],[f295,f159]) ).
fof(f410,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz0z00) ),
inference(resolution,[],[f219,f291]) ).
fof(f409,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sz0z00,sdtpldt0(X1,X0)) ),
inference(resolution,[],[f219,f292]) ).
fof(f408,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(sdtpldt0(X1,X0),sz0z00) ),
inference(resolution,[],[f219,f293]) ).
fof(f407,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X1,X0)) ),
inference(resolution,[],[f219,f294]) ).
fof(f406,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(X1,X0) = smndt0(smndt0(sdtpldt0(X1,X0))) ),
inference(resolution,[],[f219,f295]) ).
fof(f219,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,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(f392,plain,
xE = smndt0(smndt0(xE)),
inference(resolution,[],[f295,f171]) ).
fof(f391,plain,
xD = smndt0(smndt0(xD)),
inference(resolution,[],[f295,f169]) ).
fof(f390,plain,
xC = smndt0(smndt0(xC)),
inference(resolution,[],[f295,f167]) ).
fof(f389,plain,
xB = smndt0(smndt0(xB)),
inference(resolution,[],[f295,f173]) ).
fof(f388,plain,
xA = smndt0(smndt0(xA)),
inference(resolution,[],[f295,f175]) ).
fof(f387,plain,
! [X0,X1] :
( sdtlbdtrb0(X0,X1) = smndt0(smndt0(sdtlbdtrb0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f295,f214]) ).
fof(f386,plain,
! [X0] :
( smndt0(X0) = smndt0(smndt0(smndt0(X0)))
| ~ aScalar0(X0) ),
inference(resolution,[],[f295,f199]) ).
fof(f295,plain,
! [X0] :
( ~ aScalar0(X0)
| smndt0(smndt0(X0)) = X0 ),
inference(resolution,[],[f208,f210]) ).
fof(f378,plain,
sz0z00 = sdtasdt0(sz0z00,xN),
inference(resolution,[],[f294,f165]) ).
fof(f377,plain,
sz0z00 = sdtasdt0(sz0z00,xS),
inference(resolution,[],[f294,f177]) ).
fof(f376,plain,
sz0z00 = sdtasdt0(sz0z00,xP),
inference(resolution,[],[f294,f181]) ).
fof(f375,plain,
sz0z00 = sdtasdt0(sz0z00,xR),
inference(resolution,[],[f294,f179]) ).
fof(f374,plain,
sz0z00 = sdtasdt0(sz0z00,xH),
inference(resolution,[],[f294,f161]) ).
fof(f382,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aVector0(X1)
| sdtlbdtrb0(X1,X0) = sdtpldt0(sdtlbdtrb0(X1,X0),sz0z00) ),
inference(resolution,[],[f214,f291]) ).
fof(f381,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aVector0(X1)
| sdtlbdtrb0(X1,X0) = sdtpldt0(sz0z00,sdtlbdtrb0(X1,X0)) ),
inference(resolution,[],[f214,f292]) ).
fof(f380,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aVector0(X1)
| sz0z00 = sdtasdt0(sdtlbdtrb0(X1,X0),sz0z00) ),
inference(resolution,[],[f214,f293]) ).
fof(f379,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aVector0(X1)
| sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(X1,X0)) ),
inference(resolution,[],[f214,f294]) ).
fof(f214,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f88]) ).
fof(f88,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(f373,plain,
sz0z00 = sdtasdt0(sz0z00,xG),
inference(resolution,[],[f294,f163]) ).
fof(f372,plain,
sz0z00 = sdtasdt0(sz0z00,xF),
inference(resolution,[],[f294,f159]) ).
fof(f371,plain,
sz0z00 = sdtasdt0(sz0z00,xE),
inference(resolution,[],[f294,f171]) ).
fof(f370,plain,
sz0z00 = sdtasdt0(sz0z00,xD),
inference(resolution,[],[f294,f169]) ).
fof(f369,plain,
sz0z00 = sdtasdt0(sz0z00,xC),
inference(resolution,[],[f294,f167]) ).
fof(f368,plain,
sz0z00 = sdtasdt0(sz0z00,xB),
inference(resolution,[],[f294,f173]) ).
fof(f367,plain,
sz0z00 = sdtasdt0(sz0z00,xA),
inference(resolution,[],[f294,f175]) ).
fof(f294,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,X0) ),
inference(resolution,[],[f205,f210]) ).
fof(f350,plain,
sz0z00 = sdtasdt0(sz0z00,sz0z00),
inference(resolution,[],[f293,f185]) ).
fof(f363,plain,
sz0z00 = sdtasdt0(xN,sz0z00),
inference(resolution,[],[f293,f165]) ).
fof(f362,plain,
sz0z00 = sdtasdt0(xS,sz0z00),
inference(resolution,[],[f293,f177]) ).
fof(f211,plain,
! [X0] :
( aNaturalNumber0(sK4(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f361,plain,
sz0z00 = sdtasdt0(xP,sz0z00),
inference(resolution,[],[f293,f181]) ).
fof(f360,plain,
sz0z00 = sdtasdt0(xR,sz0z00),
inference(resolution,[],[f293,f179]) ).
fof(f359,plain,
sz0z00 = sdtasdt0(xH,sz0z00),
inference(resolution,[],[f293,f161]) ).
fof(f358,plain,
sz0z00 = sdtasdt0(xG,sz0z00),
inference(resolution,[],[f293,f163]) ).
fof(f357,plain,
sz0z00 = sdtasdt0(xF,sz0z00),
inference(resolution,[],[f293,f159]) ).
fof(f356,plain,
sz0z00 = sdtasdt0(xE,sz0z00),
inference(resolution,[],[f293,f171]) ).
fof(f355,plain,
sz0z00 = sdtasdt0(xD,sz0z00),
inference(resolution,[],[f293,f169]) ).
fof(f354,plain,
sz0z00 = sdtasdt0(xC,sz0z00),
inference(resolution,[],[f293,f167]) ).
fof(f353,plain,
sz0z00 = sdtasdt0(xB,sz0z00),
inference(resolution,[],[f293,f173]) ).
fof(f352,plain,
sz0z00 = sdtasdt0(xA,sz0z00),
inference(resolution,[],[f293,f175]) ).
fof(f293,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(X0,sz0z00) ),
inference(resolution,[],[f204,f210]) ).
fof(f207,plain,
! [X0] :
( ~ sP2(X0)
| sz0z00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,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,[],[f129]) ).
fof(f129,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(f347,plain,
xN = sdtpldt0(sz0z00,xN),
inference(resolution,[],[f292,f165]) ).
fof(f346,plain,
xS = sdtpldt0(sz0z00,xS),
inference(resolution,[],[f292,f177]) ).
fof(f345,plain,
xP = sdtpldt0(sz0z00,xP),
inference(resolution,[],[f292,f181]) ).
fof(f344,plain,
xR = sdtpldt0(sz0z00,xR),
inference(resolution,[],[f292,f179]) ).
fof(f343,plain,
xH = sdtpldt0(sz0z00,xH),
inference(resolution,[],[f292,f161]) ).
fof(f342,plain,
xG = sdtpldt0(sz0z00,xG),
inference(resolution,[],[f292,f163]) ).
fof(f341,plain,
xF = sdtpldt0(sz0z00,xF),
inference(resolution,[],[f292,f159]) ).
fof(f340,plain,
xE = sdtpldt0(sz0z00,xE),
inference(resolution,[],[f292,f171]) ).
fof(f339,plain,
xD = sdtpldt0(sz0z00,xD),
inference(resolution,[],[f292,f169]) ).
fof(f338,plain,
xC = sdtpldt0(sz0z00,xC),
inference(resolution,[],[f292,f167]) ).
fof(f337,plain,
xB = sdtpldt0(sz0z00,xB),
inference(resolution,[],[f292,f173]) ).
fof(f206,plain,
! [X0] :
( ~ sP2(X0)
| sz0z00 = sdtpldt0(X0,smndt0(X0)) ),
inference(cnf_transformation,[],[f137]) ).
fof(f336,plain,
xA = sdtpldt0(sz0z00,xA),
inference(resolution,[],[f292,f175]) ).
fof(f292,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sz0z00,X0) = X0 ),
inference(resolution,[],[f203,f210]) ).
fof(f296,plain,
sz0z00 = sdtpldt0(sz0z00,sz0z00),
inference(resolution,[],[f291,f185]) ).
fof(f309,plain,
xN = sdtpldt0(xN,sz0z00),
inference(resolution,[],[f291,f165]) ).
fof(f308,plain,
xS = sdtpldt0(xS,sz0z00),
inference(resolution,[],[f291,f177]) ).
fof(f307,plain,
xP = sdtpldt0(xP,sz0z00),
inference(resolution,[],[f291,f181]) ).
fof(f198,plain,
! [X0] :
( sP1(X0)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( sP1(X0)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(definition_folding,[],[f79,f127,f126]) ).
fof(f79,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,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( sziznziztdt0(X0) = X1
<=> ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(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(f306,plain,
xR = sdtpldt0(xR,sz0z00),
inference(resolution,[],[f291,f179]) ).
fof(f305,plain,
xH = sdtpldt0(xH,sz0z00),
inference(resolution,[],[f291,f161]) ).
fof(f304,plain,
xG = sdtpldt0(xG,sz0z00),
inference(resolution,[],[f291,f163]) ).
fof(f303,plain,
xF = sdtpldt0(xF,sz0z00),
inference(resolution,[],[f291,f159]) ).
fof(f302,plain,
xE = sdtpldt0(xE,sz0z00),
inference(resolution,[],[f291,f171]) ).
fof(f301,plain,
xD = sdtpldt0(xD,sz0z00),
inference(resolution,[],[f291,f169]) ).
fof(f300,plain,
xC = sdtpldt0(xC,sz0z00),
inference(resolution,[],[f291,f167]) ).
fof(f299,plain,
xB = sdtpldt0(xB,sz0z00),
inference(resolution,[],[f291,f173]) ).
fof(f298,plain,
xA = sdtpldt0(xA,sz0z00),
inference(resolution,[],[f291,f175]) ).
fof(f140,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(f291,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = X0 ),
inference(resolution,[],[f202,f210]) ).
fof(f208,plain,
! [X0] :
( ~ sP2(X0)
| smndt0(smndt0(X0)) = X0 ),
inference(cnf_transformation,[],[f137]) ).
fof(f205,plain,
! [X0] :
( ~ sP2(X0)
| sz0z00 = sdtasdt0(sz0z00,X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f204,plain,
! [X0] :
( ~ sP2(X0)
| sz0z00 = sdtasdt0(X0,sz0z00) ),
inference(cnf_transformation,[],[f137]) ).
fof(f203,plain,
! [X0] :
( ~ sP2(X0)
| sdtpldt0(sz0z00,X0) = X0 ),
inference(cnf_transformation,[],[f137]) ).
fof(f202,plain,
! [X0] :
( ~ sP2(X0)
| sdtpldt0(X0,sz0z00) = X0 ),
inference(cnf_transformation,[],[f137]) ).
fof(f290,plain,
sdtlseqdt0(sz0z00,xG),
inference(subsumption_resolution,[],[f288,f173]) ).
fof(f288,plain,
( sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(xB) ),
inference(superposition,[],[f201,f164]) ).
fof(f289,plain,
sdtlseqdt0(sz0z00,xF),
inference(subsumption_resolution,[],[f287,f175]) ).
fof(f287,plain,
( sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xA) ),
inference(superposition,[],[f201,f160]) ).
fof(f201,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,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(f286,plain,
sdtlseqdt0(sz0z00,xD),
inference(subsumption_resolution,[],[f284,f149]) ).
fof(f284,plain,
( sdtlseqdt0(sz0z00,xD)
| ~ aVector0(xq) ),
inference(superposition,[],[f190,f170]) ).
fof(f285,plain,
sdtlseqdt0(sz0z00,xC),
inference(subsumption_resolution,[],[f283,f153]) ).
fof(f283,plain,
( sdtlseqdt0(sz0z00,xC)
| ~ aVector0(xp) ),
inference(superposition,[],[f190,f168]) ).
fof(f190,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,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(f146,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(f145,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(f260,plain,
! [X0] :
( aVector0(sziznziztdt0(X0))
| ~ sP1(X0) ),
inference(resolution,[],[f239,f193]) ).
fof(f262,plain,
( sP0(xs,xp)
| ~ sP1(xs) ),
inference(superposition,[],[f239,f156]) ).
fof(f261,plain,
( sP0(xt,xq)
| ~ sP1(xt) ),
inference(superposition,[],[f239,f152]) ).
fof(f239,plain,
! [X0] :
( sP0(X0,sziznziztdt0(X0))
| ~ sP1(X0) ),
inference(equality_resolution,[],[f191]) ).
fof(f191,plain,
! [X0,X1] :
( sP0(X0,X1)
| sziznziztdt0(X0) != X1
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f209,plain,
! [X0] :
( sz0z00 = smndt0(sz0z00)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f188,plain,
! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,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(f186,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,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(f245,plain,
xB = sdtlbdtrb0(xt,aDimensionOf0(xs)),
inference(forward_demodulation,[],[f174,f142]) ).
fof(f243,plain,
aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xq)),
inference(forward_demodulation,[],[f150,f142]) ).
fof(f176,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(f154,plain,
aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp)),
inference(cnf_transformation,[],[f71]) ).
fof(f200,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,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(f199,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,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(f193,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| aVector0(X1) ),
inference(cnf_transformation,[],[f136]) ).
fof(f242,plain,
aNaturalNumber0(aDimensionOf0(xs)),
inference(subsumption_resolution,[],[f241,f158]) ).
fof(f241,plain,
( aNaturalNumber0(aDimensionOf0(xs))
| ~ aVector0(xt) ),
inference(superposition,[],[f189,f142]) ).
fof(f189,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,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(f187,plain,
! [X0] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f182,plain,
xP = sdtasdt0(xE,xH),
inference(cnf_transformation,[],[f53]) ).
fof(f180,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f178,plain,
xS = sdtasdt0(xF,xD),
inference(cnf_transformation,[],[f54]) ).
fof(f172,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(f170,plain,
xD = sdtasasdt0(xq,xq),
inference(cnf_transformation,[],[f47]) ).
fof(f168,plain,
xC = sdtasasdt0(xp,xp),
inference(cnf_transformation,[],[f46]) ).
fof(f166,plain,
xN = sdtasdt0(xR,xS),
inference(cnf_transformation,[],[f55]) ).
fof(f164,plain,
xG = sdtasdt0(xB,xB),
inference(cnf_transformation,[],[f50]) ).
fof(f162,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(f160,plain,
xF = sdtasdt0(xA,xA),
inference(cnf_transformation,[],[f49]) ).
fof(f143,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(f142,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(f210,plain,
! [X0] :
( sP2(X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( sP2(X0)
| ~ aScalar0(X0) ),
inference(definition_folding,[],[f83,f129]) ).
fof(f83,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(f156,plain,
xp = sziznziztdt0(xs),
inference(cnf_transformation,[],[f71]) ).
fof(f152,plain,
xq = sziznziztdt0(xt),
inference(cnf_transformation,[],[f70]) ).
fof(f141,plain,
sz00 != aDimensionOf0(xs),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
sz00 != aDimensionOf0(xs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1692) ).
fof(f184,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNat) ).
fof(f175,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f44]) ).
fof(f173,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(f171,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f161,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f158,plain,
aVector0(xt),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
( aVector0(xt)
& aVector0(xs) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678) ).
fof(f157,plain,
aVector0(xs),
inference(cnf_transformation,[],[f38]) ).
fof(f153,plain,
aVector0(xp),
inference(cnf_transformation,[],[f71]) ).
fof(f149,plain,
aVector0(xq),
inference(cnf_transformation,[],[f70]) ).
fof(f238,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,[],[f125]) ).
fof(f125,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,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(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(f237,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,[],[f123]) ).
fof(f123,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,[],[f122]) ).
fof(f122,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(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(f236,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,[],[f121]) ).
fof(f121,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,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2,X3] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(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(f233,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,[],[f117]) ).
fof(f117,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,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(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(f234,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,[],[f117]) ).
fof(f229,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f231,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f226,plain,
! [X0,X1] :
( X0 = X1
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( X0 = X1
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( X0 = X1
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(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(f240,plain,
! [X0,X1] :
( sz00 != aDimensionOf0(X1)
| sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X0)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(inner_rewriting,[],[f218]) ).
fof(f218,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f96]) ).
fof(f96,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(f217,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,[],[f95]) ).
fof(f95,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,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(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(f216,plain,
! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f92]) ).
fof(f92,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(f197,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,[],[f136]) ).
fof(f183,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,[],[f73]) ).
fof(f73,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,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(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(f174,plain,
xB = sdtlbdtrb0(xt,aDimensionOf0(xt)),
inference(cnf_transformation,[],[f45]) ).
fof(f150,plain,
aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq)),
inference(cnf_transformation,[],[f70]) ).
fof(f1958,plain,
( ~ spl5_36
| spl5_37
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f1816,f1661,f1955,f1951]) ).
fof(f1955,plain,
( spl5_37
<=> sz0z00 = xS ),
introduced(avatar_definition,[new_symbols(naming,[spl5_37])]) ).
fof(f1816,plain,
( sz0z00 = xS
| ~ sdtlseqdt0(xS,sz0z00)
| ~ spl5_33 ),
inference(subsumption_resolution,[],[f1815,f177]) ).
fof(f1815,plain,
( sz0z00 = xS
| ~ sdtlseqdt0(xS,sz0z00)
| ~ aScalar0(xS)
| ~ spl5_33 ),
inference(subsumption_resolution,[],[f1814,f185]) ).
fof(f1814,plain,
( sz0z00 = xS
| ~ sdtlseqdt0(xS,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xS)
| ~ spl5_33 ),
inference(resolution,[],[f1662,f225]) ).
fof(f1947,plain,
( ~ spl5_34
| spl5_35
| ~ spl5_32 ),
inference(avatar_split_clause,[],[f1813,f1657,f1944,f1940]) ).
fof(f1944,plain,
( spl5_35
<=> sz0z00 = xR ),
introduced(avatar_definition,[new_symbols(naming,[spl5_35])]) ).
fof(f1657,plain,
( spl5_32
<=> sdtlseqdt0(sz0z00,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_32])]) ).
fof(f1813,plain,
( sz0z00 = xR
| ~ sdtlseqdt0(xR,sz0z00)
| ~ spl5_32 ),
inference(subsumption_resolution,[],[f1812,f179]) ).
fof(f1812,plain,
( sz0z00 = xR
| ~ sdtlseqdt0(xR,sz0z00)
| ~ aScalar0(xR)
| ~ spl5_32 ),
inference(subsumption_resolution,[],[f1811,f185]) ).
fof(f1811,plain,
( sz0z00 = xR
| ~ sdtlseqdt0(xR,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xR)
| ~ spl5_32 ),
inference(resolution,[],[f1658,f225]) ).
fof(f1658,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ spl5_32 ),
inference(avatar_component_clause,[],[f1657]) ).
fof(f1864,plain,
( ~ spl5_7
| spl5_8
| ~ spl5_13
| ~ spl5_14 ),
inference(avatar_contradiction_clause,[],[f1863]) ).
fof(f1863,plain,
( $false
| ~ spl5_7
| spl5_8
| ~ spl5_13
| ~ spl5_14 ),
inference(subsumption_resolution,[],[f1839,f317]) ).
fof(f1839,plain,
( sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ spl5_7
| ~ spl5_13
| ~ spl5_14 ),
inference(superposition,[],[f145,f1820]) ).
fof(f1820,plain,
( sz0z00 = sdtpldt0(xR,xS)
| ~ spl5_7
| ~ spl5_13
| ~ spl5_14 ),
inference(subsumption_resolution,[],[f1819,f676]) ).
fof(f1819,plain,
( sz0z00 = sdtpldt0(xR,xS)
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ spl5_7
| ~ spl5_14 ),
inference(subsumption_resolution,[],[f1818,f185]) ).
fof(f1818,plain,
( sz0z00 = sdtpldt0(xR,xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ spl5_7
| ~ spl5_14 ),
inference(subsumption_resolution,[],[f1817,f681]) ).
fof(f681,plain,
( sdtlseqdt0(sdtpldt0(xR,xS),sz0z00)
| ~ spl5_14 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f679,plain,
( spl5_14
<=> sdtlseqdt0(sdtpldt0(xR,xS),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_14])]) ).
fof(f1817,plain,
( sz0z00 = sdtpldt0(xR,xS)
| ~ sdtlseqdt0(sdtpldt0(xR,xS),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ spl5_7 ),
inference(resolution,[],[f312,f225]) ).
fof(f1862,plain,
( ~ spl5_7
| ~ spl5_13
| ~ spl5_14
| ~ spl5_16 ),
inference(avatar_contradiction_clause,[],[f1861]) ).
fof(f1861,plain,
( $false
| ~ spl5_7
| ~ spl5_13
| ~ spl5_14
| ~ spl5_16 ),
inference(subsumption_resolution,[],[f1838,f707]) ).
fof(f1838,plain,
( ~ sdtlseqdt0(sdtpldt0(xP,xP),sz0z00)
| ~ spl5_7
| ~ spl5_13
| ~ spl5_14 ),
inference(superposition,[],[f144,f1820]) ).
fof(f1788,plain,
spl5_33,
inference(avatar_contradiction_clause,[],[f1787]) ).
fof(f1787,plain,
( $false
| spl5_33 ),
inference(subsumption_resolution,[],[f1786,f159]) ).
fof(f1786,plain,
( ~ aScalar0(xF)
| spl5_33 ),
inference(subsumption_resolution,[],[f1785,f169]) ).
fof(f1785,plain,
( ~ aScalar0(xD)
| ~ aScalar0(xF)
| spl5_33 ),
inference(subsumption_resolution,[],[f1784,f289]) ).
fof(f1784,plain,
( ~ sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xD)
| ~ aScalar0(xF)
| spl5_33 ),
inference(subsumption_resolution,[],[f1783,f286]) ).
fof(f1783,plain,
( ~ sdtlseqdt0(sz0z00,xD)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xD)
| ~ aScalar0(xF)
| spl5_33 ),
inference(subsumption_resolution,[],[f1759,f1663]) ).
fof(f1663,plain,
( ~ sdtlseqdt0(sz0z00,xS)
| spl5_33 ),
inference(avatar_component_clause,[],[f1661]) ).
fof(f1759,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xD)
| ~ aScalar0(xF) ),
inference(superposition,[],[f228,f178]) ).
fof(f1780,plain,
spl5_32,
inference(avatar_contradiction_clause,[],[f1779]) ).
fof(f1779,plain,
( $false
| spl5_32 ),
inference(subsumption_resolution,[],[f1778,f167]) ).
fof(f1778,plain,
( ~ aScalar0(xC)
| spl5_32 ),
inference(subsumption_resolution,[],[f1777,f163]) ).
fof(f1777,plain,
( ~ aScalar0(xG)
| ~ aScalar0(xC)
| spl5_32 ),
inference(subsumption_resolution,[],[f1776,f285]) ).
fof(f1776,plain,
( ~ sdtlseqdt0(sz0z00,xC)
| ~ aScalar0(xG)
| ~ aScalar0(xC)
| spl5_32 ),
inference(subsumption_resolution,[],[f1775,f290]) ).
fof(f1775,plain,
( ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ aScalar0(xG)
| ~ aScalar0(xC)
| spl5_32 ),
inference(subsumption_resolution,[],[f1754,f1659]) ).
fof(f1659,plain,
( ~ sdtlseqdt0(sz0z00,xR)
| spl5_32 ),
inference(avatar_component_clause,[],[f1657]) ).
fof(f1664,plain,
( ~ spl5_32
| ~ spl5_33
| spl5_7 ),
inference(avatar_split_clause,[],[f1617,f311,f1661,f1657]) ).
fof(f1617,plain,
( ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR)
| spl5_7 ),
inference(subsumption_resolution,[],[f1616,f179]) ).
fof(f1616,plain,
( ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xR)
| spl5_7 ),
inference(subsumption_resolution,[],[f1480,f177]) ).
fof(f1480,plain,
( ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xS)
| ~ aScalar0(xR)
| spl5_7 ),
inference(resolution,[],[f227,f313]) ).
fof(f313,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| spl5_7 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f1260,plain,
( spl5_29
| spl5_31 ),
inference(avatar_split_clause,[],[f232,f1258,f1132]) ).
fof(f1132,plain,
( spl5_29
<=> ! [X2] : ~ aScalar0(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_29])]) ).
fof(f1258,plain,
( spl5_31
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_31])]) ).
fof(f1184,plain,
~ spl5_29,
inference(avatar_contradiction_clause,[],[f1138]) ).
fof(f1138,plain,
( $false
| ~ spl5_29 ),
inference(resolution,[],[f1133,f185]) ).
fof(f1133,plain,
( ! [X2] : ~ aScalar0(X2)
| ~ spl5_29 ),
inference(avatar_component_clause,[],[f1132]) ).
fof(f1183,plain,
( ~ spl5_13
| ~ spl5_29 ),
inference(avatar_contradiction_clause,[],[f1140]) ).
fof(f1140,plain,
( $false
| ~ spl5_13
| ~ spl5_29 ),
inference(resolution,[],[f1133,f676]) ).
fof(f1182,plain,
( ~ spl5_15
| ~ spl5_29 ),
inference(avatar_contradiction_clause,[],[f1141]) ).
fof(f1141,plain,
( $false
| ~ spl5_15
| ~ spl5_29 ),
inference(resolution,[],[f1133,f702]) ).
fof(f1181,plain,
~ spl5_29,
inference(avatar_contradiction_clause,[],[f1145]) ).
fof(f1145,plain,
( $false
| ~ spl5_29 ),
inference(resolution,[],[f1133,f506]) ).
fof(f1180,plain,
( ~ spl5_9
| ~ spl5_29 ),
inference(avatar_contradiction_clause,[],[f1146]) ).
fof(f1146,plain,
( $false
| ~ spl5_9
| ~ spl5_29 ),
inference(resolution,[],[f1133,f896]) ).
fof(f896,plain,
( aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xp)))
| ~ spl5_9 ),
inference(subsumption_resolution,[],[f895,f149]) ).
fof(f895,plain,
( aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xp)))
| ~ aVector0(xq)
| ~ spl5_9 ),
inference(subsumption_resolution,[],[f894,f486]) ).
fof(f486,plain,
( aNaturalNumber0(aDimensionOf0(xp))
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f485,plain,
( spl5_9
<=> aNaturalNumber0(aDimensionOf0(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
fof(f894,plain,
( aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xp)))
| ~ aNaturalNumber0(aDimensionOf0(xp))
| ~ aVector0(xq)
| ~ spl5_9 ),
inference(superposition,[],[f214,f500]) ).
fof(f500,plain,
( sdtlbdtrb0(xq,aDimensionOf0(xp)) = sdtlbdtrb0(xt,aDimensionOf0(xp))
| ~ spl5_9 ),
inference(resolution,[],[f151,f486]) ).
fof(f1179,plain,
( ~ spl5_11
| ~ spl5_29 ),
inference(avatar_contradiction_clause,[],[f1147]) ).
fof(f1147,plain,
( $false
| ~ spl5_11
| ~ spl5_29 ),
inference(resolution,[],[f1133,f911]) ).
fof(f911,plain,
( aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xq)))
| ~ spl5_11 ),
inference(subsumption_resolution,[],[f910,f149]) ).
fof(f910,plain,
( aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xq)))
| ~ aVector0(xq)
| ~ spl5_11 ),
inference(subsumption_resolution,[],[f909,f516]) ).
fof(f516,plain,
( aNaturalNumber0(aDimensionOf0(xq))
| ~ spl5_11 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f515,plain,
( spl5_11
<=> aNaturalNumber0(aDimensionOf0(xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).
fof(f909,plain,
( aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xq)))
| ~ aNaturalNumber0(aDimensionOf0(xq))
| ~ aVector0(xq)
| ~ spl5_11 ),
inference(superposition,[],[f214,f526]) ).
fof(f526,plain,
( sdtlbdtrb0(xq,aDimensionOf0(xq)) = sdtlbdtrb0(xt,aDimensionOf0(xq))
| ~ spl5_11 ),
inference(resolution,[],[f516,f151]) ).
fof(f1178,plain,
~ spl5_29,
inference(avatar_contradiction_clause,[],[f1148]) ).
fof(f1148,plain,
( $false
| ~ spl5_29 ),
inference(resolution,[],[f1133,f573]) ).
fof(f1177,plain,
( ~ spl5_9
| ~ spl5_29 ),
inference(avatar_contradiction_clause,[],[f1149]) ).
fof(f1149,plain,
( $false
| ~ spl5_9
| ~ spl5_29 ),
inference(resolution,[],[f1133,f951]) ).
fof(f951,plain,
( aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ spl5_9 ),
inference(subsumption_resolution,[],[f950,f153]) ).
fof(f950,plain,
( aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ aVector0(xp)
| ~ spl5_9 ),
inference(subsumption_resolution,[],[f949,f486]) ).
fof(f949,plain,
( aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ aNaturalNumber0(aDimensionOf0(xp))
| ~ aVector0(xp)
| ~ spl5_9 ),
inference(superposition,[],[f214,f550]) ).
fof(f550,plain,
( sdtlbdtrb0(xp,aDimensionOf0(xp)) = sdtlbdtrb0(xs,aDimensionOf0(xp))
| ~ spl5_9 ),
inference(resolution,[],[f155,f486]) ).
fof(f1176,plain,
( ~ spl5_11
| ~ spl5_29 ),
inference(avatar_contradiction_clause,[],[f1150]) ).
fof(f1150,plain,
( $false
| ~ spl5_11
| ~ spl5_29 ),
inference(resolution,[],[f1133,f967]) ).
fof(f967,plain,
( aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xq)))
| ~ spl5_11 ),
inference(subsumption_resolution,[],[f966,f153]) ).
fof(f966,plain,
( aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xq)))
| ~ aVector0(xp)
| ~ spl5_11 ),
inference(subsumption_resolution,[],[f965,f516]) ).
fof(f965,plain,
( aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xq)))
| ~ aNaturalNumber0(aDimensionOf0(xq))
| ~ aVector0(xp)
| ~ spl5_11 ),
inference(superposition,[],[f214,f551]) ).
fof(f551,plain,
( sdtlbdtrb0(xp,aDimensionOf0(xq)) = sdtlbdtrb0(xs,aDimensionOf0(xq))
| ~ spl5_11 ),
inference(resolution,[],[f155,f516]) ).
fof(f1175,plain,
~ spl5_29,
inference(avatar_contradiction_clause,[],[f1152]) ).
fof(f1152,plain,
( $false
| ~ spl5_29 ),
inference(resolution,[],[f1133,f175]) ).
fof(f1174,plain,
~ spl5_29,
inference(avatar_contradiction_clause,[],[f1153]) ).
fof(f1153,plain,
( $false
| ~ spl5_29 ),
inference(resolution,[],[f1133,f173]) ).
fof(f1173,plain,
~ spl5_29,
inference(avatar_contradiction_clause,[],[f1154]) ).
fof(f1154,plain,
( $false
| ~ spl5_29 ),
inference(resolution,[],[f1133,f167]) ).
fof(f1172,plain,
~ spl5_29,
inference(avatar_contradiction_clause,[],[f1155]) ).
fof(f1155,plain,
( $false
| ~ spl5_29 ),
inference(resolution,[],[f1133,f169]) ).
fof(f1171,plain,
~ spl5_29,
inference(avatar_contradiction_clause,[],[f1156]) ).
fof(f1156,plain,
( $false
| ~ spl5_29 ),
inference(resolution,[],[f1133,f171]) ).
fof(f1170,plain,
~ spl5_29,
inference(avatar_contradiction_clause,[],[f1157]) ).
fof(f1157,plain,
( $false
| ~ spl5_29 ),
inference(resolution,[],[f1133,f159]) ).
fof(f1169,plain,
~ spl5_29,
inference(avatar_contradiction_clause,[],[f1158]) ).
fof(f1158,plain,
( $false
| ~ spl5_29 ),
inference(resolution,[],[f1133,f163]) ).
fof(f1168,plain,
~ spl5_29,
inference(avatar_contradiction_clause,[],[f1159]) ).
fof(f1159,plain,
( $false
| ~ spl5_29 ),
inference(resolution,[],[f1133,f161]) ).
fof(f1167,plain,
~ spl5_29,
inference(avatar_contradiction_clause,[],[f1160]) ).
fof(f1160,plain,
( $false
| ~ spl5_29 ),
inference(resolution,[],[f1133,f179]) ).
fof(f1166,plain,
~ spl5_29,
inference(avatar_contradiction_clause,[],[f1161]) ).
fof(f1161,plain,
( $false
| ~ spl5_29 ),
inference(resolution,[],[f1133,f181]) ).
fof(f1165,plain,
~ spl5_29,
inference(avatar_contradiction_clause,[],[f1162]) ).
fof(f1162,plain,
( $false
| ~ spl5_29 ),
inference(resolution,[],[f1133,f177]) ).
fof(f1164,plain,
~ spl5_29,
inference(avatar_contradiction_clause,[],[f1163]) ).
fof(f1163,plain,
( $false
| ~ spl5_29 ),
inference(resolution,[],[f1133,f165]) ).
fof(f1137,plain,
( spl5_29
| spl5_30 ),
inference(avatar_split_clause,[],[f230,f1135,f1132]) ).
fof(f1135,plain,
( spl5_30
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_30])]) ).
fof(f1128,plain,
( ~ spl5_27
| spl5_28 ),
inference(avatar_split_clause,[],[f1085,f1125,f1121]) ).
fof(f1125,plain,
( spl5_28
<=> sz0z00 = xG ),
introduced(avatar_definition,[new_symbols(naming,[spl5_28])]) ).
fof(f1117,plain,
( ~ spl5_25
| spl5_26 ),
inference(avatar_split_clause,[],[f1083,f1114,f1110]) ).
fof(f1114,plain,
( spl5_26
<=> sz0z00 = xF ),
introduced(avatar_definition,[new_symbols(naming,[spl5_26])]) ).
fof(f1106,plain,
( ~ spl5_23
| spl5_24 ),
inference(avatar_split_clause,[],[f1081,f1103,f1099]) ).
fof(f1103,plain,
( spl5_24
<=> sz0z00 = xD ),
introduced(avatar_definition,[new_symbols(naming,[spl5_24])]) ).
fof(f1095,plain,
( ~ spl5_21
| spl5_22 ),
inference(avatar_split_clause,[],[f1079,f1092,f1088]) ).
fof(f1092,plain,
( spl5_22
<=> sz0z00 = xC ),
introduced(avatar_definition,[new_symbols(naming,[spl5_22])]) ).
fof(f1021,plain,
( ~ spl5_19
| ~ spl5_20 ),
inference(avatar_split_clause,[],[f986,f1018,f1014]) ).
fof(f1014,plain,
( spl5_19
<=> aNaturalNumber0(sK4(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_19])]) ).
fof(f1018,plain,
( spl5_20
<=> sz00 = szszuzczcdt0(aDimensionOf0(xs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_20])]) ).
fof(f886,plain,
( spl5_17
| ~ spl5_18 ),
inference(avatar_contradiction_clause,[],[f885]) ).
fof(f885,plain,
( $false
| spl5_17
| ~ spl5_18 ),
inference(subsumption_resolution,[],[f884,f184]) ).
fof(f884,plain,
( ~ aNaturalNumber0(sz00)
| spl5_17
| ~ spl5_18 ),
inference(trivial_inequality_removal,[],[f881]) ).
fof(f881,plain,
( sz00 != sz00
| ~ aNaturalNumber0(sz00)
| spl5_17
| ~ spl5_18 ),
inference(superposition,[],[f188,f875]) ).
fof(f875,plain,
( sz00 = szszuzczcdt0(sz00)
| spl5_17
| ~ spl5_18 ),
inference(subsumption_resolution,[],[f874,f842]) ).
fof(f842,plain,
( aNaturalNumber0(szszuzczcdt0(sz00))
| ~ spl5_18 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f840,plain,
( spl5_18
<=> aNaturalNumber0(szszuzczcdt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_18])]) ).
fof(f874,plain,
( sz00 = szszuzczcdt0(sz00)
| ~ aNaturalNumber0(szszuzczcdt0(sz00))
| spl5_17 ),
inference(resolution,[],[f838,f211]) ).
fof(f838,plain,
( ~ aNaturalNumber0(sK4(szszuzczcdt0(sz00)))
| spl5_17 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f836,plain,
( spl5_17
<=> aNaturalNumber0(sK4(szszuzczcdt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_17])]) ).
fof(f846,plain,
spl5_18,
inference(avatar_contradiction_clause,[],[f845]) ).
fof(f845,plain,
( $false
| spl5_18 ),
inference(subsumption_resolution,[],[f844,f184]) ).
fof(f844,plain,
( ~ aNaturalNumber0(sz00)
| spl5_18 ),
inference(resolution,[],[f841,f187]) ).
fof(f841,plain,
( ~ aNaturalNumber0(szszuzczcdt0(sz00))
| spl5_18 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f843,plain,
( ~ spl5_17
| spl5_18 ),
inference(avatar_split_clause,[],[f833,f840,f836]) ).
fof(f712,plain,
spl5_15,
inference(avatar_contradiction_clause,[],[f711]) ).
fof(f711,plain,
( $false
| spl5_15 ),
inference(subsumption_resolution,[],[f710,f181]) ).
fof(f710,plain,
( ~ aScalar0(xP)
| spl5_15 ),
inference(duplicate_literal_removal,[],[f709]) ).
fof(f709,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| spl5_15 ),
inference(resolution,[],[f703,f219]) ).
fof(f703,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| spl5_15 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f708,plain,
( ~ spl5_15
| spl5_16
| spl5_8 ),
inference(avatar_split_clause,[],[f671,f315,f705,f701]) ).
fof(f671,plain,
( sdtlseqdt0(sdtpldt0(xP,xP),sz0z00)
| ~ aScalar0(sdtpldt0(xP,xP))
| spl5_8 ),
inference(subsumption_resolution,[],[f664,f185]) ).
fof(f664,plain,
( sdtlseqdt0(sdtpldt0(xP,xP),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(xP,xP))
| spl5_8 ),
inference(resolution,[],[f224,f317]) ).
fof(f686,plain,
spl5_13,
inference(avatar_contradiction_clause,[],[f685]) ).
fof(f685,plain,
( $false
| spl5_13 ),
inference(subsumption_resolution,[],[f684,f179]) ).
fof(f684,plain,
( ~ aScalar0(xR)
| spl5_13 ),
inference(subsumption_resolution,[],[f683,f177]) ).
fof(f683,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xR)
| spl5_13 ),
inference(resolution,[],[f677,f219]) ).
fof(f677,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| spl5_13 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f682,plain,
( ~ spl5_13
| spl5_14
| spl5_7 ),
inference(avatar_split_clause,[],[f670,f311,f679,f675]) ).
fof(f670,plain,
( sdtlseqdt0(sdtpldt0(xR,xS),sz0z00)
| ~ aScalar0(sdtpldt0(xR,xS))
| spl5_7 ),
inference(subsumption_resolution,[],[f663,f185]) ).
fof(f663,plain,
( sdtlseqdt0(sdtpldt0(xR,xS),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(xR,xS))
| spl5_7 ),
inference(resolution,[],[f224,f313]) ).
fof(f525,plain,
spl5_11,
inference(avatar_contradiction_clause,[],[f524]) ).
fof(f524,plain,
( $false
| spl5_11 ),
inference(subsumption_resolution,[],[f523,f149]) ).
fof(f523,plain,
( ~ aVector0(xq)
| spl5_11 ),
inference(resolution,[],[f517,f189]) ).
fof(f517,plain,
( ~ aNaturalNumber0(aDimensionOf0(xq))
| spl5_11 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f522,plain,
( ~ spl5_11
| spl5_12 ),
inference(avatar_split_clause,[],[f248,f519,f515]) ).
fof(f519,plain,
( spl5_12
<=> iLess0(aDimensionOf0(xq),aDimensionOf0(xs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_12])]) ).
fof(f495,plain,
spl5_9,
inference(avatar_contradiction_clause,[],[f494]) ).
fof(f494,plain,
( $false
| spl5_9 ),
inference(subsumption_resolution,[],[f493,f153]) ).
fof(f493,plain,
( ~ aVector0(xp)
| spl5_9 ),
inference(resolution,[],[f487,f189]) ).
fof(f487,plain,
( ~ aNaturalNumber0(aDimensionOf0(xp))
| spl5_9 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f492,plain,
( ~ spl5_9
| spl5_10 ),
inference(avatar_split_clause,[],[f247,f489,f485]) ).
fof(f489,plain,
( spl5_10
<=> iLess0(aDimensionOf0(xp),aDimensionOf0(xs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).
fof(f332,plain,
spl5_3,
inference(avatar_contradiction_clause,[],[f331]) ).
fof(f331,plain,
( $false
| spl5_3 ),
inference(subsumption_resolution,[],[f327,f141]) ).
fof(f327,plain,
( sz00 = aDimensionOf0(xs)
| spl5_3 ),
inference(superposition,[],[f142,f321]) ).
fof(f321,plain,
( sz00 = aDimensionOf0(xt)
| spl5_3 ),
inference(subsumption_resolution,[],[f319,f158]) ).
fof(f319,plain,
( sz00 = aDimensionOf0(xt)
| ~ aVector0(xt)
| spl5_3 ),
inference(resolution,[],[f198,f266]) ).
fof(f266,plain,
( ~ sP1(xt)
| spl5_3 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f264,plain,
( spl5_3
<=> sP1(xt) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f330,plain,
spl5_3,
inference(avatar_contradiction_clause,[],[f329]) ).
fof(f329,plain,
( $false
| spl5_3 ),
inference(subsumption_resolution,[],[f326,f141]) ).
fof(f326,plain,
( sz00 = aDimensionOf0(xs)
| spl5_3 ),
inference(superposition,[],[f321,f142]) ).
fof(f324,plain,
spl5_5,
inference(avatar_contradiction_clause,[],[f323]) ).
fof(f323,plain,
( $false
| spl5_5 ),
inference(subsumption_resolution,[],[f322,f157]) ).
fof(f322,plain,
( ~ aVector0(xs)
| spl5_5 ),
inference(subsumption_resolution,[],[f320,f141]) ).
fof(f320,plain,
( sz00 = aDimensionOf0(xs)
| ~ aVector0(xs)
| spl5_5 ),
inference(resolution,[],[f198,f275]) ).
fof(f275,plain,
( ~ sP1(xs)
| spl5_5 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f273,plain,
( spl5_5
<=> sP1(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f318,plain,
( ~ spl5_7
| ~ spl5_8 ),
inference(avatar_split_clause,[],[f140,f315,f311]) ).
fof(f280,plain,
( ~ spl5_5
| spl5_6 ),
inference(avatar_split_clause,[],[f262,f277,f273]) ).
fof(f277,plain,
( spl5_6
<=> sP0(xs,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f271,plain,
( ~ spl5_3
| spl5_4 ),
inference(avatar_split_clause,[],[f261,f268,f264]) ).
fof(f268,plain,
( spl5_4
<=> sP0(xt,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f258,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f209,f255,f252]) ).
fof(f252,plain,
( spl5_1
<=> ! [X0] : ~ sP2(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f255,plain,
( spl5_2
<=> sz0z00 = smndt0(sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : RNG071+2 : TPTP v8.2.0. Released v4.0.0.
% 0.15/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.37 % Computer : n003.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sat May 18 12:09:23 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.38 % (23875)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39 % (23878)WARNING: value z3 for option sas not known
% 0.16/0.39 % (23878)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)
% 0.16/0.40 % (23879)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.40 % (23877)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.40 % (23880)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)
% 0.16/0.40 % (23881)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)
% 0.16/0.40 % (23882)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)
% 0.16/0.40 % (23876)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.40 TRYING [1]
% 0.16/0.40 TRYING [1]
% 0.16/0.40 TRYING [2]
% 0.16/0.40 TRYING [2]
% 0.16/0.41 TRYING [3]
% 0.16/0.41 TRYING [3]
% 0.23/0.47 % (23878)First to succeed.
% 0.23/0.48 TRYING [4]
% 0.23/0.48 % (23878)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23875"
% 0.23/0.48 % (23878)Refutation found. Thanks to Tanya!
% 0.23/0.48 % SZS status Theorem for theBenchmark
% 0.23/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.49 % (23878)------------------------------
% 0.23/0.49 % (23878)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.49 % (23878)Termination reason: Refutation
% 0.23/0.49
% 0.23/0.49 % (23878)Memory used [KB]: 2054
% 0.23/0.49 % (23878)Time elapsed: 0.094 s
% 0.23/0.49 % (23878)Instructions burned: 179 (million)
% 0.23/0.49 % (23875)Success in time 0.105 s
%------------------------------------------------------------------------------