TSTP Solution File: NUM517+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM517+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n018.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 : Thu Aug 31 12:10:50 EDT 2023
% Result : Theorem 0.22s 0.54s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 189
% Syntax : Number of formulae : 695 ( 90 unt; 0 def)
% Number of atoms : 2452 ( 165 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 3057 (1300 ~;1454 |; 115 &)
% ( 159 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 160 ( 158 usr; 151 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 271 (; 263 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1497,plain,
$false,
inference(avatar_smt_refutation,[],[f334,f338,f342,f346,f350,f354,f358,f362,f366,f370,f374,f378,f382,f386,f390,f394,f398,f402,f406,f410,f414,f418,f422,f426,f430,f434,f438,f442,f446,f450,f451,f452,f456,f460,f464,f468,f472,f486,f490,f494,f498,f502,f506,f517,f522,f529,f536,f541,f546,f555,f558,f571,f600,f610,f615,f691,f699,f708,f713,f716,f720,f746,f753,f760,f784,f795,f804,f809,f839,f846,f851,f862,f871,f883,f886,f947,f952,f958,f970,f975,f980,f1003,f1019,f1024,f1032,f1056,f1090,f1095,f1103,f1154,f1159,f1175,f1189,f1193,f1201,f1205,f1213,f1218,f1226,f1232,f1235,f1245,f1261,f1266,f1281,f1290,f1298,f1309,f1313,f1323,f1327,f1335,f1343,f1351,f1374,f1385,f1396,f1406,f1410,f1439,f1468,f1477,f1487,f1496]) ).
fof(f1496,plain,
( ~ spl7_65
| spl7_1
| spl7_2
| ~ spl7_7
| ~ spl7_9
| ~ spl7_13
| ~ spl7_14
| ~ spl7_83 ),
inference(avatar_split_clause,[],[f1495,f844,f384,f380,f364,f356,f336,f332,f738]) ).
fof(f738,plain,
( spl7_65
<=> aNaturalNumber0(sdtsldt0(xn,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_65])]) ).
fof(f332,plain,
( spl7_1
<=> doDivides0(xp,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).
fof(f336,plain,
( spl7_2
<=> doDivides0(xp,sdtsldt0(xn,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
fof(f356,plain,
( spl7_7
<=> doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).
fof(f364,plain,
( spl7_9
<=> isPrime0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_9])]) ).
fof(f380,plain,
( spl7_13
<=> aNaturalNumber0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_13])]) ).
fof(f384,plain,
( spl7_14
<=> aNaturalNumber0(xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_14])]) ).
fof(f844,plain,
( spl7_83
<=> iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_83])]) ).
fof(f1495,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| spl7_1
| spl7_2
| ~ spl7_7
| ~ spl7_9
| ~ spl7_13
| ~ spl7_14
| ~ spl7_83 ),
inference(subsumption_resolution,[],[f1494,f385]) ).
fof(f385,plain,
( aNaturalNumber0(xm)
| ~ spl7_14 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f1494,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| spl7_1
| spl7_2
| ~ spl7_7
| ~ spl7_9
| ~ spl7_13
| ~ spl7_83 ),
inference(subsumption_resolution,[],[f1493,f381]) ).
fof(f381,plain,
( aNaturalNumber0(xp)
| ~ spl7_13 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f1493,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| spl7_1
| spl7_2
| ~ spl7_7
| ~ spl7_9
| ~ spl7_83 ),
inference(subsumption_resolution,[],[f1492,f365]) ).
fof(f365,plain,
( isPrime0(xp)
| ~ spl7_9 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f1492,plain,
( ~ isPrime0(xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| spl7_1
| spl7_2
| ~ spl7_7
| ~ spl7_83 ),
inference(subsumption_resolution,[],[f1491,f357]) ).
fof(f357,plain,
( doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f1491,plain,
( ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ isPrime0(xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| spl7_1
| spl7_2
| ~ spl7_83 ),
inference(subsumption_resolution,[],[f1490,f333]) ).
fof(f333,plain,
( ~ doDivides0(xp,xm)
| spl7_1 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f1490,plain,
( doDivides0(xp,xm)
| ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ isPrime0(xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| spl7_2
| ~ spl7_83 ),
inference(subsumption_resolution,[],[f1489,f337]) ).
fof(f337,plain,
( ~ doDivides0(xp,sdtsldt0(xn,xr))
| spl7_2 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f1489,plain,
( doDivides0(xp,sdtsldt0(xn,xr))
| doDivides0(xp,xm)
| ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ isPrime0(xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl7_83 ),
inference(resolution,[],[f845,f183]) ).
fof(f183,plain,
! [X2,X0,X1] :
( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X2,X0)
| doDivides0(X2,X1)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X2] :
( doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X2,sdtasdt0(X0,X1))
& isPrime0(X2) )
=> ( iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( doDivides0(X2,X1)
| doDivides0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',m__1799) ).
fof(f845,plain,
( iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ spl7_83 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f1487,plain,
( ~ spl7_107
| ~ spl7_115
| spl7_149
| ~ spl7_150
| ~ spl7_13
| spl7_81 ),
inference(avatar_split_clause,[],[f1480,f837,f380,f1485,f1482,f1230,f1173]) ).
fof(f1173,plain,
( spl7_107
<=> aNaturalNumber0(sdtpldt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_107])]) ).
fof(f1230,plain,
( spl7_115
<=> aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_115])]) ).
fof(f1482,plain,
( spl7_149
<=> sQ6_eqProxy(sdtpldt0(xn,xm),sdtpldt0(sdtsldt0(xn,xr),xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_149])]) ).
fof(f1485,plain,
( spl7_150
<=> sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sdtsldt0(xn,xr),xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_150])]) ).
fof(f837,plain,
( spl7_81
<=> sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_81])]) ).
fof(f1480,plain,
( ~ sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sdtsldt0(xn,xr),xm))
| sQ6_eqProxy(sdtpldt0(xn,xm),sdtpldt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ spl7_13
| spl7_81 ),
inference(subsumption_resolution,[],[f1478,f381]) ).
fof(f1478,plain,
( ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sdtsldt0(xn,xr),xm))
| sQ6_eqProxy(sdtpldt0(xn,xm),sdtpldt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| spl7_81 ),
inference(resolution,[],[f838,f306]) ).
fof(f306,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| sQ6_eqProxy(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_proxy_replacement,[],[f228,f267]) ).
fof(f267,plain,
! [X0,X1] :
( sQ6_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ6_eqProxy])]) ).
fof(f228,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& X0 != X1 )
=> ! [X2] :
( aNaturalNumber0(X2)
=> ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',mMonAdd) ).
fof(f838,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
| spl7_81 ),
inference(avatar_component_clause,[],[f837]) ).
fof(f1477,plain,
( spl7_147
| spl7_148
| ~ spl7_31
| ~ spl7_33
| ~ spl7_144 ),
inference(avatar_split_clause,[],[f1470,f1434,f462,f454,f1475,f1472]) ).
fof(f1472,plain,
( spl7_147
<=> sQ6_eqProxy(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_147])]) ).
fof(f1475,plain,
( spl7_148
<=> iLess0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_148])]) ).
fof(f454,plain,
( spl7_31
<=> aNaturalNumber0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_31])]) ).
fof(f462,plain,
( spl7_33
<=> aNaturalNumber0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_33])]) ).
fof(f1434,plain,
( spl7_144
<=> sdtlseqdt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_144])]) ).
fof(f1470,plain,
( iLess0(sz10,sz00)
| sQ6_eqProxy(sz10,sz00)
| ~ spl7_31
| ~ spl7_33
| ~ spl7_144 ),
inference(subsumption_resolution,[],[f1469,f463]) ).
fof(f463,plain,
( aNaturalNumber0(sz10)
| ~ spl7_33 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f1469,plain,
( iLess0(sz10,sz00)
| sQ6_eqProxy(sz10,sz00)
| ~ aNaturalNumber0(sz10)
| ~ spl7_31
| ~ spl7_144 ),
inference(subsumption_resolution,[],[f1459,f455]) ).
fof(f455,plain,
( aNaturalNumber0(sz00)
| ~ spl7_31 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f1459,plain,
( iLess0(sz10,sz00)
| sQ6_eqProxy(sz10,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ spl7_144 ),
inference(resolution,[],[f1435,f305]) ).
fof(f305,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| iLess0(X0,X1)
| sQ6_eqProxy(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_proxy_replacement,[],[f224,f267]) ).
fof(f224,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& X0 != X1 )
=> iLess0(X0,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',mIH_03) ).
fof(f1435,plain,
( sdtlseqdt0(sz10,sz00)
| ~ spl7_144 ),
inference(avatar_component_clause,[],[f1434]) ).
fof(f1468,plain,
( ~ spl7_146
| ~ spl7_31
| spl7_32
| ~ spl7_33
| ~ spl7_144 ),
inference(avatar_split_clause,[],[f1464,f1434,f462,f458,f454,f1466]) ).
fof(f1466,plain,
( spl7_146
<=> sdtlseqdt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_146])]) ).
fof(f458,plain,
( spl7_32
<=> sQ6_eqProxy(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_32])]) ).
fof(f1464,plain,
( ~ sdtlseqdt0(sz00,sz10)
| ~ spl7_31
| spl7_32
| ~ spl7_33
| ~ spl7_144 ),
inference(subsumption_resolution,[],[f1463,f455]) ).
fof(f1463,plain,
( ~ sdtlseqdt0(sz00,sz10)
| ~ aNaturalNumber0(sz00)
| spl7_32
| ~ spl7_33
| ~ spl7_144 ),
inference(subsumption_resolution,[],[f1462,f463]) ).
fof(f1462,plain,
( ~ sdtlseqdt0(sz00,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| spl7_32
| ~ spl7_144 ),
inference(subsumption_resolution,[],[f1458,f459]) ).
fof(f459,plain,
( ~ sQ6_eqProxy(sz00,sz10)
| spl7_32 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f1458,plain,
( sQ6_eqProxy(sz00,sz10)
| ~ sdtlseqdt0(sz00,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ spl7_144 ),
inference(resolution,[],[f1435,f315]) ).
fof(f315,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| sQ6_eqProxy(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_proxy_replacement,[],[f234,f267]) ).
fof(f234,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',mLEAsym) ).
fof(f1439,plain,
( spl7_144
| spl7_145
| ~ spl7_31
| spl7_32
| ~ spl7_33 ),
inference(avatar_split_clause,[],[f1432,f462,f458,f454,f1437,f1434]) ).
fof(f1437,plain,
( spl7_145
<=> iLess0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_145])]) ).
fof(f1432,plain,
( iLess0(sz00,sz10)
| sdtlseqdt0(sz10,sz00)
| ~ spl7_31
| spl7_32
| ~ spl7_33 ),
inference(subsumption_resolution,[],[f1431,f455]) ).
fof(f1431,plain,
( iLess0(sz00,sz10)
| ~ aNaturalNumber0(sz00)
| sdtlseqdt0(sz10,sz00)
| spl7_32
| ~ spl7_33 ),
inference(subsumption_resolution,[],[f1412,f463]) ).
fof(f1412,plain,
( iLess0(sz00,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| sdtlseqdt0(sz10,sz00)
| spl7_32 ),
inference(resolution,[],[f732,f459]) ).
fof(f732,plain,
! [X2,X1] :
( sQ6_eqProxy(X1,X2)
| iLess0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X1) ),
inference(duplicate_literal_removal,[],[f722]) ).
fof(f722,plain,
! [X2,X1] :
( iLess0(X1,X2)
| sQ6_eqProxy(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(resolution,[],[f305,f216]) ).
fof(f216,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',mLETotal) ).
fof(f1410,plain,
( ~ spl7_73
| spl7_75
| spl7_143
| ~ spl7_106 ),
inference(avatar_split_clause,[],[f1401,f1157,f1408,f793,f787]) ).
fof(f787,plain,
( spl7_73
<=> aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_73])]) ).
fof(f793,plain,
( spl7_75
<=> sQ6_eqProxy(sz00,sdtasdt0(sdtsldt0(xn,xr),xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_75])]) ).
fof(f1408,plain,
( spl7_143
<=> ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtlseqdt0(X2,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ doDivides0(X2,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_143])]) ).
fof(f1157,plain,
( spl7_106
<=> ! [X4] :
( doDivides0(X4,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(X4)
| ~ doDivides0(X4,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_106])]) ).
fof(f1401,plain,
( ! [X2] :
( ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,xp)
| sQ6_eqProxy(sz00,sdtasdt0(sdtsldt0(xn,xr),xm))
| sdtlseqdt0(X2,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm)) )
| ~ spl7_106 ),
inference(duplicate_literal_removal,[],[f1398]) ).
fof(f1398,plain,
( ! [X2] :
( ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,xp)
| sQ6_eqProxy(sz00,sdtasdt0(sdtsldt0(xn,xr),xm))
| sdtlseqdt0(X2,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(X2) )
| ~ spl7_106 ),
inference(resolution,[],[f1158,f314]) ).
fof(f314,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| sQ6_eqProxy(sz00,X1)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_proxy_replacement,[],[f233,f267]) ).
fof(f233,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sz00 = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sz00 = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sz00 = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sz00 != X1
& doDivides0(X0,X1) )
=> sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',mDivLE) ).
fof(f1158,plain,
( ! [X4] :
( doDivides0(X4,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(X4)
| ~ doDivides0(X4,xp) )
| ~ spl7_106 ),
inference(avatar_component_clause,[],[f1157]) ).
fof(f1406,plain,
( ~ spl7_73
| spl7_142
| ~ spl7_106 ),
inference(avatar_split_clause,[],[f1402,f1157,f1404,f787]) ).
fof(f1404,plain,
( spl7_142
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| doDivides0(X1,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ doDivides0(X1,X0)
| ~ doDivides0(X0,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_142])]) ).
fof(f1402,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| doDivides0(X1,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(X1) )
| ~ spl7_106 ),
inference(duplicate_literal_removal,[],[f1397]) ).
fof(f1397,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| doDivides0(X1,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl7_106 ),
inference(resolution,[],[f1158,f249]) ).
fof(f249,plain,
! [X2,X0,X1] :
( ~ doDivides0(X1,X2)
| doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X0,X1) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',mDivTrans) ).
fof(f1396,plain,
( ~ spl7_139
| spl7_140
| spl7_141
| spl7_101
| ~ spl7_13
| ~ spl7_14
| ~ spl7_18 ),
inference(avatar_split_clause,[],[f1386,f400,f384,f380,f1054,f1394,f1391,f1388]) ).
fof(f1388,plain,
( spl7_139
<=> aNaturalNumber0(sK3(xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_139])]) ).
fof(f1391,plain,
( spl7_140
<=> sdtlseqdt0(sK3(xm),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_140])]) ).
fof(f1394,plain,
( spl7_141
<=> sQ6_eqProxy(sz10,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_141])]) ).
fof(f1054,plain,
( spl7_101
<=> sQ6_eqProxy(sz00,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_101])]) ).
fof(f400,plain,
( spl7_18
<=> sdtlseqdt0(xm,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_18])]) ).
fof(f1386,plain,
( sQ6_eqProxy(sz00,xm)
| sQ6_eqProxy(sz10,xm)
| sdtlseqdt0(sK3(xm),xp)
| ~ aNaturalNumber0(sK3(xm))
| ~ spl7_13
| ~ spl7_14
| ~ spl7_18 ),
inference(subsumption_resolution,[],[f1360,f385]) ).
fof(f1360,plain,
( sQ6_eqProxy(sz00,xm)
| ~ aNaturalNumber0(xm)
| sQ6_eqProxy(sz10,xm)
| sdtlseqdt0(sK3(xm),xp)
| ~ aNaturalNumber0(sK3(xm))
| ~ spl7_13
| ~ spl7_14
| ~ spl7_18 ),
inference(resolution,[],[f811,f922]) ).
fof(f922,plain,
( ! [X14] :
( ~ sdtlseqdt0(X14,xm)
| sdtlseqdt0(X14,xp)
| ~ aNaturalNumber0(X14) )
| ~ spl7_13
| ~ spl7_14
| ~ spl7_18 ),
inference(subsumption_resolution,[],[f921,f385]) ).
fof(f921,plain,
( ! [X14] :
( sdtlseqdt0(X14,xp)
| ~ sdtlseqdt0(X14,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X14) )
| ~ spl7_13
| ~ spl7_18 ),
inference(subsumption_resolution,[],[f912,f381]) ).
fof(f912,plain,
( ! [X14] :
( sdtlseqdt0(X14,xp)
| ~ sdtlseqdt0(X14,xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X14) )
| ~ spl7_18 ),
inference(resolution,[],[f252,f401]) ).
fof(f401,plain,
( sdtlseqdt0(xm,xp)
| ~ spl7_18 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f252,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',mLETran) ).
fof(f811,plain,
! [X3] :
( sdtlseqdt0(sK3(X3),X3)
| sQ6_eqProxy(sz00,X3)
| ~ aNaturalNumber0(X3)
| sQ6_eqProxy(sz10,X3) ),
inference(subsumption_resolution,[],[f770,f296]) ).
fof(f296,plain,
! [X0] :
( sQ6_eqProxy(sz10,X0)
| aNaturalNumber0(sK3(X0))
| sQ6_eqProxy(sz00,X0)
| ~ aNaturalNumber0(X0) ),
inference(equality_proxy_replacement,[],[f208,f267,f267]) ).
fof(f208,plain,
! [X0] :
( aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ( isPrime0(sK3(X0))
& doDivides0(sK3(X0),X0)
& aNaturalNumber0(sK3(X0)) )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f75,f137]) ).
fof(f137,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( isPrime0(sK3(X0))
& doDivides0(sK3(X0),X0)
& aNaturalNumber0(sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ( sz10 != X0
& sz00 != X0
& aNaturalNumber0(X0) )
=> ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',mPrimDiv) ).
fof(f770,plain,
! [X3] :
( sQ6_eqProxy(sz00,X3)
| sdtlseqdt0(sK3(X3),X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(sK3(X3))
| sQ6_eqProxy(sz10,X3) ),
inference(duplicate_literal_removal,[],[f769]) ).
fof(f769,plain,
! [X3] :
( sQ6_eqProxy(sz00,X3)
| sdtlseqdt0(sK3(X3),X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(sK3(X3))
| sQ6_eqProxy(sz10,X3)
| sQ6_eqProxy(sz00,X3)
| ~ aNaturalNumber0(X3) ),
inference(resolution,[],[f314,f295]) ).
fof(f295,plain,
! [X0] :
( doDivides0(sK3(X0),X0)
| sQ6_eqProxy(sz10,X0)
| sQ6_eqProxy(sz00,X0)
| ~ aNaturalNumber0(X0) ),
inference(equality_proxy_replacement,[],[f209,f267,f267]) ).
fof(f209,plain,
! [X0] :
( doDivides0(sK3(X0),X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f1385,plain,
( ~ spl7_136
| spl7_137
| spl7_138
| spl7_77
| ~ spl7_13
| ~ spl7_15
| ~ spl7_20 ),
inference(avatar_split_clause,[],[f1375,f408,f388,f380,f802,f1383,f1380,f1377]) ).
fof(f1377,plain,
( spl7_136
<=> aNaturalNumber0(sK3(xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_136])]) ).
fof(f1380,plain,
( spl7_137
<=> sdtlseqdt0(sK3(xn),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_137])]) ).
fof(f1383,plain,
( spl7_138
<=> sQ6_eqProxy(sz10,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_138])]) ).
fof(f802,plain,
( spl7_77
<=> sQ6_eqProxy(sz00,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_77])]) ).
fof(f388,plain,
( spl7_15
<=> aNaturalNumber0(xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_15])]) ).
fof(f408,plain,
( spl7_20
<=> sdtlseqdt0(xn,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_20])]) ).
fof(f1375,plain,
( sQ6_eqProxy(sz00,xn)
| sQ6_eqProxy(sz10,xn)
| sdtlseqdt0(sK3(xn),xp)
| ~ aNaturalNumber0(sK3(xn))
| ~ spl7_13
| ~ spl7_15
| ~ spl7_20 ),
inference(subsumption_resolution,[],[f1359,f389]) ).
fof(f389,plain,
( aNaturalNumber0(xn)
| ~ spl7_15 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f1359,plain,
( sQ6_eqProxy(sz00,xn)
| ~ aNaturalNumber0(xn)
| sQ6_eqProxy(sz10,xn)
| sdtlseqdt0(sK3(xn),xp)
| ~ aNaturalNumber0(sK3(xn))
| ~ spl7_13
| ~ spl7_15
| ~ spl7_20 ),
inference(resolution,[],[f811,f924]) ).
fof(f924,plain,
( ! [X15] :
( ~ sdtlseqdt0(X15,xn)
| sdtlseqdt0(X15,xp)
| ~ aNaturalNumber0(X15) )
| ~ spl7_13
| ~ spl7_15
| ~ spl7_20 ),
inference(subsumption_resolution,[],[f923,f389]) ).
fof(f923,plain,
( ! [X15] :
( sdtlseqdt0(X15,xp)
| ~ sdtlseqdt0(X15,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X15) )
| ~ spl7_13
| ~ spl7_20 ),
inference(subsumption_resolution,[],[f913,f381]) ).
fof(f913,plain,
( ! [X15] :
( sdtlseqdt0(X15,xp)
| ~ sdtlseqdt0(X15,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X15) )
| ~ spl7_20 ),
inference(resolution,[],[f252,f409]) ).
fof(f409,plain,
( sdtlseqdt0(xn,xp)
| ~ spl7_20 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f1374,plain,
( spl7_134
| spl7_135
| ~ spl7_65
| spl7_109
| ~ spl7_92 ),
inference(avatar_split_clause,[],[f1367,f950,f1199,f738,f1372,f1369]) ).
fof(f1369,plain,
( spl7_134
<=> sdtlseqdt0(sK3(sdtsldt0(xn,xr)),xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_134])]) ).
fof(f1372,plain,
( spl7_135
<=> sQ6_eqProxy(sz10,sdtsldt0(xn,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_135])]) ).
fof(f1199,plain,
( spl7_109
<=> sQ6_eqProxy(sz00,sdtsldt0(xn,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_109])]) ).
fof(f950,plain,
( spl7_92
<=> ! [X12] :
( sdtlseqdt0(X12,xn)
| ~ aNaturalNumber0(X12)
| ~ sdtlseqdt0(X12,sdtsldt0(xn,xr)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_92])]) ).
fof(f1367,plain,
( sQ6_eqProxy(sz00,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| sQ6_eqProxy(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sK3(sdtsldt0(xn,xr)),xn)
| ~ spl7_92 ),
inference(subsumption_resolution,[],[f1358,f296]) ).
fof(f1358,plain,
( sQ6_eqProxy(sz00,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| sQ6_eqProxy(sz10,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK3(sdtsldt0(xn,xr)))
| sdtlseqdt0(sK3(sdtsldt0(xn,xr)),xn)
| ~ spl7_92 ),
inference(resolution,[],[f811,f951]) ).
fof(f951,plain,
( ! [X12] :
( ~ sdtlseqdt0(X12,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X12)
| sdtlseqdt0(X12,xn) )
| ~ spl7_92 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f1351,plain,
( ~ spl7_65
| spl7_132
| spl7_133
| ~ spl7_13
| ~ spl7_118 ),
inference(avatar_split_clause,[],[f1344,f1259,f380,f1349,f1346,f738]) ).
fof(f1346,plain,
( spl7_132
<=> sQ6_eqProxy(sdtsldt0(xn,xr),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_132])]) ).
fof(f1349,plain,
( spl7_133
<=> iLess0(sdtsldt0(xn,xr),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_133])]) ).
fof(f1259,plain,
( spl7_118
<=> sdtlseqdt0(sdtsldt0(xn,xr),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_118])]) ).
fof(f1344,plain,
( iLess0(sdtsldt0(xn,xr),xp)
| sQ6_eqProxy(sdtsldt0(xn,xr),xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl7_13
| ~ spl7_118 ),
inference(subsumption_resolution,[],[f1330,f381]) ).
fof(f1330,plain,
( iLess0(sdtsldt0(xn,xr),xp)
| sQ6_eqProxy(sdtsldt0(xn,xr),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl7_118 ),
inference(resolution,[],[f1260,f305]) ).
fof(f1260,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ~ spl7_118 ),
inference(avatar_component_clause,[],[f1259]) ).
fof(f1343,plain,
( ~ spl7_65
| ~ spl7_130
| spl7_131
| ~ spl7_13
| ~ spl7_118 ),
inference(avatar_split_clause,[],[f1336,f1259,f380,f1341,f1338,f738]) ).
fof(f1338,plain,
( spl7_130
<=> sdtlseqdt0(xp,sdtsldt0(xn,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_130])]) ).
fof(f1341,plain,
( spl7_131
<=> sQ6_eqProxy(xp,sdtsldt0(xn,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_131])]) ).
fof(f1336,plain,
( sQ6_eqProxy(xp,sdtsldt0(xn,xr))
| ~ sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl7_13
| ~ spl7_118 ),
inference(subsumption_resolution,[],[f1329,f381]) ).
fof(f1329,plain,
( sQ6_eqProxy(xp,sdtsldt0(xn,xr))
| ~ sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xp)
| ~ spl7_118 ),
inference(resolution,[],[f1260,f315]) ).
fof(f1335,plain,
( ~ spl7_65
| spl7_129
| ~ spl7_13
| ~ spl7_118 ),
inference(avatar_split_clause,[],[f1331,f1259,f380,f1333,f738]) ).
fof(f1333,plain,
( spl7_129
<=> ! [X0] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_129])]) ).
fof(f1331,plain,
( ! [X0] :
( sdtlseqdt0(X0,xp)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0) )
| ~ spl7_13
| ~ spl7_118 ),
inference(subsumption_resolution,[],[f1328,f381]) ).
fof(f1328,plain,
( ! [X0] :
( sdtlseqdt0(X0,xp)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0) )
| ~ spl7_118 ),
inference(resolution,[],[f1260,f252]) ).
fof(f1327,plain,
( ~ spl7_70
| spl7_72
| spl7_128
| ~ spl7_95 ),
inference(avatar_split_clause,[],[f1318,f978,f1325,f782,f776]) ).
fof(f776,plain,
( spl7_70
<=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_70])]) ).
fof(f782,plain,
( spl7_72
<=> sQ6_eqProxy(sz00,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_72])]) ).
fof(f1325,plain,
( spl7_128
<=> ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtlseqdt0(X2,sdtasdt0(xn,xm))
| ~ doDivides0(X2,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_128])]) ).
fof(f978,plain,
( spl7_95
<=> ! [X3] :
( doDivides0(X3,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X3,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_95])]) ).
fof(f1318,plain,
( ! [X2] :
( ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,xp)
| sQ6_eqProxy(sz00,sdtasdt0(xn,xm))
| sdtlseqdt0(X2,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) )
| ~ spl7_95 ),
inference(duplicate_literal_removal,[],[f1315]) ).
fof(f1315,plain,
( ! [X2] :
( ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,xp)
| sQ6_eqProxy(sz00,sdtasdt0(xn,xm))
| sdtlseqdt0(X2,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X2) )
| ~ spl7_95 ),
inference(resolution,[],[f979,f314]) ).
fof(f979,plain,
( ! [X3] :
( doDivides0(X3,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X3,xp) )
| ~ spl7_95 ),
inference(avatar_component_clause,[],[f978]) ).
fof(f1323,plain,
( ~ spl7_70
| spl7_127
| ~ spl7_95 ),
inference(avatar_split_clause,[],[f1319,f978,f1321,f776]) ).
fof(f1321,plain,
( spl7_127
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| doDivides0(X1,sdtasdt0(xn,xm))
| ~ doDivides0(X1,X0)
| ~ doDivides0(X0,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_127])]) ).
fof(f1319,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| doDivides0(X1,sdtasdt0(xn,xm))
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X1) )
| ~ spl7_95 ),
inference(duplicate_literal_removal,[],[f1314]) ).
fof(f1314,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| doDivides0(X1,sdtasdt0(xn,xm))
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl7_95 ),
inference(resolution,[],[f979,f249]) ).
fof(f1313,plain,
( ~ spl7_70
| spl7_72
| spl7_126
| ~ spl7_94 ),
inference(avatar_split_clause,[],[f1304,f973,f1311,f782,f776]) ).
fof(f1311,plain,
( spl7_126
<=> ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtlseqdt0(X2,sdtasdt0(xn,xm))
| ~ doDivides0(X2,xr) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_126])]) ).
fof(f973,plain,
( spl7_94
<=> ! [X7] :
( doDivides0(X7,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X7)
| ~ doDivides0(X7,xr) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_94])]) ).
fof(f1304,plain,
( ! [X2] :
( ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,xr)
| sQ6_eqProxy(sz00,sdtasdt0(xn,xm))
| sdtlseqdt0(X2,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) )
| ~ spl7_94 ),
inference(duplicate_literal_removal,[],[f1301]) ).
fof(f1301,plain,
( ! [X2] :
( ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,xr)
| sQ6_eqProxy(sz00,sdtasdt0(xn,xm))
| sdtlseqdt0(X2,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X2) )
| ~ spl7_94 ),
inference(resolution,[],[f974,f314]) ).
fof(f974,plain,
( ! [X7] :
( doDivides0(X7,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X7)
| ~ doDivides0(X7,xr) )
| ~ spl7_94 ),
inference(avatar_component_clause,[],[f973]) ).
fof(f1309,plain,
( ~ spl7_70
| spl7_125
| ~ spl7_94 ),
inference(avatar_split_clause,[],[f1305,f973,f1307,f776]) ).
fof(f1307,plain,
( spl7_125
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| doDivides0(X1,sdtasdt0(xn,xm))
| ~ doDivides0(X1,X0)
| ~ doDivides0(X0,xr) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_125])]) ).
fof(f1305,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| doDivides0(X1,sdtasdt0(xn,xm))
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X1) )
| ~ spl7_94 ),
inference(duplicate_literal_removal,[],[f1300]) ).
fof(f1300,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| doDivides0(X1,sdtasdt0(xn,xm))
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl7_94 ),
inference(resolution,[],[f974,f249]) ).
fof(f1298,plain,
( ~ spl7_65
| spl7_124
| ~ spl7_92 ),
inference(avatar_split_clause,[],[f1293,f950,f1296,f738]) ).
fof(f1296,plain,
( spl7_124
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X0,xn) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_124])]) ).
fof(f1293,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) )
| ~ spl7_92 ),
inference(duplicate_literal_removal,[],[f1292]) ).
fof(f1292,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) )
| ~ spl7_92 ),
inference(resolution,[],[f951,f216]) ).
fof(f1290,plain,
( spl7_122
| spl7_123
| ~ spl7_12
| ~ spl7_13
| ~ spl7_119 ),
inference(avatar_split_clause,[],[f1283,f1264,f380,f376,f1288,f1285]) ).
fof(f1285,plain,
( spl7_122
<=> sQ6_eqProxy(xr,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_122])]) ).
fof(f1288,plain,
( spl7_123
<=> iLess0(xr,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_123])]) ).
fof(f376,plain,
( spl7_12
<=> aNaturalNumber0(xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_12])]) ).
fof(f1264,plain,
( spl7_119
<=> sdtlseqdt0(xr,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_119])]) ).
fof(f1283,plain,
( iLess0(xr,xp)
| sQ6_eqProxy(xr,xp)
| ~ spl7_12
| ~ spl7_13
| ~ spl7_119 ),
inference(subsumption_resolution,[],[f1282,f377]) ).
fof(f377,plain,
( aNaturalNumber0(xr)
| ~ spl7_12 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f1282,plain,
( iLess0(xr,xp)
| sQ6_eqProxy(xr,xp)
| ~ aNaturalNumber0(xr)
| ~ spl7_13
| ~ spl7_119 ),
inference(subsumption_resolution,[],[f1270,f381]) ).
fof(f1270,plain,
( iLess0(xr,xp)
| sQ6_eqProxy(xr,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xr)
| ~ spl7_119 ),
inference(resolution,[],[f1265,f305]) ).
fof(f1265,plain,
( sdtlseqdt0(xr,xp)
| ~ spl7_119 ),
inference(avatar_component_clause,[],[f1264]) ).
fof(f1281,plain,
( ~ spl7_120
| spl7_121
| ~ spl7_12
| ~ spl7_13
| ~ spl7_119 ),
inference(avatar_split_clause,[],[f1274,f1264,f380,f376,f1279,f1276]) ).
fof(f1276,plain,
( spl7_120
<=> sdtlseqdt0(xp,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_120])]) ).
fof(f1279,plain,
( spl7_121
<=> sQ6_eqProxy(xp,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_121])]) ).
fof(f1274,plain,
( sQ6_eqProxy(xp,xr)
| ~ sdtlseqdt0(xp,xr)
| ~ spl7_12
| ~ spl7_13
| ~ spl7_119 ),
inference(subsumption_resolution,[],[f1273,f381]) ).
fof(f1273,plain,
( sQ6_eqProxy(xp,xr)
| ~ sdtlseqdt0(xp,xr)
| ~ aNaturalNumber0(xp)
| ~ spl7_12
| ~ spl7_119 ),
inference(subsumption_resolution,[],[f1269,f377]) ).
fof(f1269,plain,
( sQ6_eqProxy(xp,xr)
| ~ sdtlseqdt0(xp,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ spl7_119 ),
inference(resolution,[],[f1265,f315]) ).
fof(f1266,plain,
( spl7_119
| ~ spl7_12
| ~ spl7_13
| ~ spl7_15
| ~ spl7_20
| ~ spl7_76 ),
inference(avatar_split_clause,[],[f1262,f799,f408,f388,f380,f376,f1264]) ).
fof(f799,plain,
( spl7_76
<=> sdtlseqdt0(xr,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_76])]) ).
fof(f1262,plain,
( sdtlseqdt0(xr,xp)
| ~ spl7_12
| ~ spl7_13
| ~ spl7_15
| ~ spl7_20
| ~ spl7_76 ),
inference(subsumption_resolution,[],[f1253,f377]) ).
fof(f1253,plain,
( sdtlseqdt0(xr,xp)
| ~ aNaturalNumber0(xr)
| ~ spl7_13
| ~ spl7_15
| ~ spl7_20
| ~ spl7_76 ),
inference(resolution,[],[f924,f800]) ).
fof(f800,plain,
( sdtlseqdt0(xr,xn)
| ~ spl7_76 ),
inference(avatar_component_clause,[],[f799]) ).
fof(f1261,plain,
( ~ spl7_65
| spl7_118
| ~ spl7_13
| ~ spl7_15
| ~ spl7_20
| ~ spl7_26 ),
inference(avatar_split_clause,[],[f1252,f432,f408,f388,f380,f1259,f738]) ).
fof(f432,plain,
( spl7_26
<=> sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_26])]) ).
fof(f1252,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl7_13
| ~ spl7_15
| ~ spl7_20
| ~ spl7_26 ),
inference(resolution,[],[f924,f433]) ).
fof(f433,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ spl7_26 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f1245,plain,
( spl7_91
| spl7_62
| ~ spl7_116
| spl7_117
| ~ spl7_5
| ~ spl7_12
| ~ spl7_15 ),
inference(avatar_split_clause,[],[f1238,f388,f376,f348,f1243,f1240,f706,f945]) ).
fof(f945,plain,
( spl7_91
<=> sQ6_eqProxy(sz00,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_91])]) ).
fof(f706,plain,
( spl7_62
<=> sQ6_eqProxy(sz10,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_62])]) ).
fof(f1240,plain,
( spl7_116
<=> aNaturalNumber0(sK3(xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_116])]) ).
fof(f1243,plain,
( spl7_117
<=> doDivides0(sK3(xr),xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_117])]) ).
fof(f348,plain,
( spl7_5
<=> doDivides0(xr,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_5])]) ).
fof(f1238,plain,
( doDivides0(sK3(xr),xn)
| ~ aNaturalNumber0(sK3(xr))
| sQ6_eqProxy(sz10,xr)
| sQ6_eqProxy(sz00,xr)
| ~ spl7_5
| ~ spl7_12
| ~ spl7_15 ),
inference(subsumption_resolution,[],[f1237,f377]) ).
fof(f1237,plain,
( doDivides0(sK3(xr),xn)
| ~ aNaturalNumber0(sK3(xr))
| sQ6_eqProxy(sz10,xr)
| sQ6_eqProxy(sz00,xr)
| ~ aNaturalNumber0(xr)
| ~ spl7_5
| ~ spl7_12
| ~ spl7_15 ),
inference(resolution,[],[f902,f295]) ).
fof(f902,plain,
( ! [X5] :
( ~ doDivides0(X5,xr)
| doDivides0(X5,xn)
| ~ aNaturalNumber0(X5) )
| ~ spl7_5
| ~ spl7_12
| ~ spl7_15 ),
inference(subsumption_resolution,[],[f901,f377]) ).
fof(f901,plain,
( ! [X5] :
( doDivides0(X5,xn)
| ~ doDivides0(X5,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X5) )
| ~ spl7_5
| ~ spl7_15 ),
inference(subsumption_resolution,[],[f893,f389]) ).
fof(f893,plain,
( ! [X5] :
( doDivides0(X5,xn)
| ~ doDivides0(X5,xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X5) )
| ~ spl7_5 ),
inference(resolution,[],[f249,f349]) ).
fof(f349,plain,
( doDivides0(xr,xn)
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f1235,plain,
( ~ spl7_65
| ~ spl7_14
| spl7_115 ),
inference(avatar_split_clause,[],[f1234,f1230,f384,f738]) ).
fof(f1234,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl7_14
| spl7_115 ),
inference(subsumption_resolution,[],[f1233,f385]) ).
fof(f1233,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| spl7_115 ),
inference(resolution,[],[f1231,f212]) ).
fof(f212,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',mSortsB) ).
fof(f1231,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
| spl7_115 ),
inference(avatar_component_clause,[],[f1230]) ).
fof(f1232,plain,
( ~ spl7_115
| ~ spl7_13
| spl7_80 ),
inference(avatar_split_clause,[],[f1228,f834,f380,f1230]) ).
fof(f834,plain,
( spl7_80
<=> aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_80])]) ).
fof(f1228,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
| ~ spl7_13
| spl7_80 ),
inference(subsumption_resolution,[],[f1227,f381]) ).
fof(f1227,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
| spl7_80 ),
inference(resolution,[],[f835,f212]) ).
fof(f835,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
| spl7_80 ),
inference(avatar_component_clause,[],[f834]) ).
fof(f1226,plain,
( ~ spl7_73
| spl7_113
| spl7_114
| ~ spl7_13
| ~ spl7_74 ),
inference(avatar_split_clause,[],[f1219,f790,f380,f1224,f1221,f787]) ).
fof(f1221,plain,
( spl7_113
<=> sQ6_eqProxy(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_113])]) ).
fof(f1224,plain,
( spl7_114
<=> iLess0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_114])]) ).
fof(f790,plain,
( spl7_74
<=> sdtlseqdt0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_74])]) ).
fof(f1219,plain,
( iLess0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| sQ6_eqProxy(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ spl7_13
| ~ spl7_74 ),
inference(subsumption_resolution,[],[f1208,f381]) ).
fof(f1208,plain,
( iLess0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| sQ6_eqProxy(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(xp)
| ~ spl7_74 ),
inference(resolution,[],[f791,f305]) ).
fof(f791,plain,
( sdtlseqdt0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ spl7_74 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f1218,plain,
( ~ spl7_73
| ~ spl7_112
| spl7_60
| ~ spl7_13
| ~ spl7_74 ),
inference(avatar_split_clause,[],[f1214,f790,f380,f697,f1216,f787]) ).
fof(f1216,plain,
( spl7_112
<=> sdtlseqdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_112])]) ).
fof(f697,plain,
( spl7_60
<=> sQ6_eqProxy(sdtasdt0(sdtsldt0(xn,xr),xm),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_60])]) ).
fof(f1214,plain,
( sQ6_eqProxy(sdtasdt0(sdtsldt0(xn,xr),xm),xp)
| ~ sdtlseqdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xp)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ spl7_13
| ~ spl7_74 ),
inference(subsumption_resolution,[],[f1207,f381]) ).
fof(f1207,plain,
( sQ6_eqProxy(sdtasdt0(sdtsldt0(xn,xr),xm),xp)
| ~ sdtlseqdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ spl7_74 ),
inference(resolution,[],[f791,f315]) ).
fof(f1213,plain,
( ~ spl7_73
| spl7_111
| ~ spl7_13
| ~ spl7_74 ),
inference(avatar_split_clause,[],[f1209,f790,f380,f1211,f787]) ).
fof(f1211,plain,
( spl7_111
<=> ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_111])]) ).
fof(f1209,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(X0) )
| ~ spl7_13
| ~ spl7_74 ),
inference(subsumption_resolution,[],[f1206,f381]) ).
fof(f1206,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) )
| ~ spl7_74 ),
inference(resolution,[],[f791,f252]) ).
fof(f1205,plain,
( spl7_110
| ~ spl7_75 ),
inference(avatar_split_clause,[],[f1196,f793,f1203]) ).
fof(f1203,plain,
( spl7_110
<=> sQ6_eqProxy(sdtasdt0(sdtsldt0(xn,xr),xm),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_110])]) ).
fof(f1196,plain,
( sQ6_eqProxy(sdtasdt0(sdtsldt0(xn,xr),xm),sz00)
| ~ spl7_75 ),
inference(resolution,[],[f794,f329]) ).
fof(f329,plain,
! [X0,X1] :
( ~ sQ6_eqProxy(X0,X1)
| sQ6_eqProxy(X1,X0) ),
inference(equality_proxy_axiom,[],[f267]) ).
fof(f794,plain,
( sQ6_eqProxy(sz00,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ spl7_75 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f1201,plain,
( ~ spl7_65
| spl7_101
| spl7_109
| ~ spl7_14
| ~ spl7_75 ),
inference(avatar_split_clause,[],[f1197,f793,f384,f1199,f1054,f738]) ).
fof(f1197,plain,
( sQ6_eqProxy(sz00,sdtsldt0(xn,xr))
| sQ6_eqProxy(sz00,xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl7_14
| ~ spl7_75 ),
inference(subsumption_resolution,[],[f1195,f385]) ).
fof(f1195,plain,
( sQ6_eqProxy(sz00,sdtsldt0(xn,xr))
| sQ6_eqProxy(sz00,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl7_75 ),
inference(resolution,[],[f794,f302]) ).
fof(f302,plain,
! [X0,X1] :
( ~ sQ6_eqProxy(sz00,sdtasdt0(X0,X1))
| sQ6_eqProxy(sz00,X0)
| sQ6_eqProxy(sz00,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_proxy_replacement,[],[f221,f267,f267,f267]) ).
fof(f221,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sz00 = sdtasdt0(X0,X1)
=> ( sz00 = X1
| sz00 = X0 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',mZeroMul) ).
fof(f1193,plain,
( ~ spl7_80
| ~ spl7_79
| spl7_108
| ~ spl7_28 ),
inference(avatar_split_clause,[],[f908,f440,f1191,f831,f834]) ).
fof(f831,plain,
( spl7_79
<=> aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_79])]) ).
fof(f1191,plain,
( spl7_108
<=> ! [X8] :
( sdtlseqdt0(X8,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X8)
| ~ sdtlseqdt0(X8,sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_108])]) ).
fof(f440,plain,
( spl7_28
<=> sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_28])]) ).
fof(f908,plain,
( ! [X8] :
( sdtlseqdt0(X8,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ sdtlseqdt0(X8,sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
| ~ aNaturalNumber0(X8) )
| ~ spl7_28 ),
inference(resolution,[],[f252,f441]) ).
fof(f441,plain,
( sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ spl7_28 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f1189,plain,
( ~ spl7_14
| ~ spl7_15
| spl7_107 ),
inference(avatar_contradiction_clause,[],[f1188]) ).
fof(f1188,plain,
( $false
| ~ spl7_14
| ~ spl7_15
| spl7_107 ),
inference(subsumption_resolution,[],[f1187,f389]) ).
fof(f1187,plain,
( ~ aNaturalNumber0(xn)
| ~ spl7_14
| spl7_107 ),
inference(subsumption_resolution,[],[f1186,f385]) ).
fof(f1186,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| spl7_107 ),
inference(resolution,[],[f1174,f212]) ).
fof(f1174,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| spl7_107 ),
inference(avatar_component_clause,[],[f1173]) ).
fof(f1175,plain,
( ~ spl7_107
| ~ spl7_13
| spl7_79 ),
inference(avatar_split_clause,[],[f1171,f831,f380,f1173]) ).
fof(f1171,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ spl7_13
| spl7_79 ),
inference(subsumption_resolution,[],[f1170,f381]) ).
fof(f1170,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| spl7_79 ),
inference(resolution,[],[f832,f212]) ).
fof(f832,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| spl7_79 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f1159,plain,
( ~ spl7_73
| spl7_106
| ~ spl7_7
| ~ spl7_13 ),
inference(avatar_split_clause,[],[f1155,f380,f356,f1157,f787]) ).
fof(f1155,plain,
( ! [X4] :
( doDivides0(X4,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ doDivides0(X4,xp)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(X4) )
| ~ spl7_7
| ~ spl7_13 ),
inference(subsumption_resolution,[],[f892,f381]) ).
fof(f892,plain,
( ! [X4] :
( doDivides0(X4,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ doDivides0(X4,xp)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X4) )
| ~ spl7_7 ),
inference(resolution,[],[f249,f357]) ).
fof(f1154,plain,
( ~ spl7_65
| ~ spl7_14
| spl7_73 ),
inference(avatar_split_clause,[],[f1153,f787,f384,f738]) ).
fof(f1153,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl7_14
| spl7_73 ),
inference(subsumption_resolution,[],[f1152,f385]) ).
fof(f1152,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| spl7_73 ),
inference(resolution,[],[f788,f211]) ).
fof(f211,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',mSortsB_02) ).
fof(f788,plain,
( ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm))
| spl7_73 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f1103,plain,
( ~ spl7_70
| spl7_104
| spl7_105
| ~ spl7_12
| ~ spl7_78 ),
inference(avatar_split_clause,[],[f1096,f807,f376,f1101,f1098,f776]) ).
fof(f1098,plain,
( spl7_104
<=> sQ6_eqProxy(xr,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_104])]) ).
fof(f1101,plain,
( spl7_105
<=> iLess0(xr,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_105])]) ).
fof(f807,plain,
( spl7_78
<=> sdtlseqdt0(xr,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_78])]) ).
fof(f1096,plain,
( iLess0(xr,sdtasdt0(xn,xm))
| sQ6_eqProxy(xr,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl7_12
| ~ spl7_78 ),
inference(subsumption_resolution,[],[f1085,f377]) ).
fof(f1085,plain,
( iLess0(xr,sdtasdt0(xn,xm))
| sQ6_eqProxy(xr,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xr)
| ~ spl7_78 ),
inference(resolution,[],[f808,f305]) ).
fof(f808,plain,
( sdtlseqdt0(xr,sdtasdt0(xn,xm))
| ~ spl7_78 ),
inference(avatar_component_clause,[],[f807]) ).
fof(f1095,plain,
( ~ spl7_70
| ~ spl7_103
| spl7_63
| ~ spl7_12
| ~ spl7_78 ),
inference(avatar_split_clause,[],[f1091,f807,f376,f711,f1093,f776]) ).
fof(f1093,plain,
( spl7_103
<=> sdtlseqdt0(sdtasdt0(xn,xm),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_103])]) ).
fof(f711,plain,
( spl7_63
<=> sQ6_eqProxy(sdtasdt0(xn,xm),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_63])]) ).
fof(f1091,plain,
( sQ6_eqProxy(sdtasdt0(xn,xm),xr)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl7_12
| ~ spl7_78 ),
inference(subsumption_resolution,[],[f1084,f377]) ).
fof(f1084,plain,
( sQ6_eqProxy(sdtasdt0(xn,xm),xr)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl7_78 ),
inference(resolution,[],[f808,f315]) ).
fof(f1090,plain,
( ~ spl7_70
| spl7_102
| ~ spl7_12
| ~ spl7_78 ),
inference(avatar_split_clause,[],[f1086,f807,f376,f1088,f776]) ).
fof(f1088,plain,
( spl7_102
<=> ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_102])]) ).
fof(f1086,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl7_12
| ~ spl7_78 ),
inference(subsumption_resolution,[],[f1083,f377]) ).
fof(f1083,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) )
| ~ spl7_78 ),
inference(resolution,[],[f808,f252]) ).
fof(f1056,plain,
( spl7_101
| spl7_77
| ~ spl7_14
| ~ spl7_15
| ~ spl7_72 ),
inference(avatar_split_clause,[],[f1052,f782,f388,f384,f802,f1054]) ).
fof(f1052,plain,
( sQ6_eqProxy(sz00,xn)
| sQ6_eqProxy(sz00,xm)
| ~ spl7_14
| ~ spl7_15
| ~ spl7_72 ),
inference(subsumption_resolution,[],[f1051,f389]) ).
fof(f1051,plain,
( sQ6_eqProxy(sz00,xn)
| sQ6_eqProxy(sz00,xm)
| ~ aNaturalNumber0(xn)
| ~ spl7_14
| ~ spl7_72 ),
inference(subsumption_resolution,[],[f1049,f385]) ).
fof(f1049,plain,
( sQ6_eqProxy(sz00,xn)
| sQ6_eqProxy(sz00,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ spl7_72 ),
inference(resolution,[],[f783,f302]) ).
fof(f783,plain,
( sQ6_eqProxy(sz00,sdtasdt0(xn,xm))
| ~ spl7_72 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f1032,plain,
( ~ spl7_70
| spl7_99
| spl7_100
| ~ spl7_13
| ~ spl7_71 ),
inference(avatar_split_clause,[],[f1025,f779,f380,f1030,f1027,f776]) ).
fof(f1027,plain,
( spl7_99
<=> sQ6_eqProxy(xp,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_99])]) ).
fof(f1030,plain,
( spl7_100
<=> iLess0(xp,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_100])]) ).
fof(f779,plain,
( spl7_71
<=> sdtlseqdt0(xp,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_71])]) ).
fof(f1025,plain,
( iLess0(xp,sdtasdt0(xn,xm))
| sQ6_eqProxy(xp,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl7_13
| ~ spl7_71 ),
inference(subsumption_resolution,[],[f1014,f381]) ).
fof(f1014,plain,
( iLess0(xp,sdtasdt0(xn,xm))
| sQ6_eqProxy(xp,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ spl7_71 ),
inference(resolution,[],[f780,f305]) ).
fof(f780,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xm))
| ~ spl7_71 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f1024,plain,
( ~ spl7_70
| ~ spl7_98
| spl7_57
| ~ spl7_13
| ~ spl7_71 ),
inference(avatar_split_clause,[],[f1020,f779,f380,f686,f1022,f776]) ).
fof(f1022,plain,
( spl7_98
<=> sdtlseqdt0(sdtasdt0(xn,xm),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_98])]) ).
fof(f686,plain,
( spl7_57
<=> sQ6_eqProxy(sdtasdt0(xn,xm),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_57])]) ).
fof(f1020,plain,
( sQ6_eqProxy(sdtasdt0(xn,xm),xp)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl7_13
| ~ spl7_71 ),
inference(subsumption_resolution,[],[f1013,f381]) ).
fof(f1013,plain,
( sQ6_eqProxy(sdtasdt0(xn,xm),xp)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl7_71 ),
inference(resolution,[],[f780,f315]) ).
fof(f1019,plain,
( ~ spl7_70
| spl7_97
| ~ spl7_13
| ~ spl7_71 ),
inference(avatar_split_clause,[],[f1015,f779,f380,f1017,f776]) ).
fof(f1017,plain,
( spl7_97
<=> ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_97])]) ).
fof(f1015,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl7_13
| ~ spl7_71 ),
inference(subsumption_resolution,[],[f1012,f381]) ).
fof(f1012,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) )
| ~ spl7_71 ),
inference(resolution,[],[f780,f252]) ).
fof(f1003,plain,
( spl7_96
| ~ spl7_72 ),
inference(avatar_split_clause,[],[f999,f782,f1001]) ).
fof(f1001,plain,
( spl7_96
<=> sQ6_eqProxy(sdtasdt0(xn,xm),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_96])]) ).
fof(f999,plain,
( sQ6_eqProxy(sdtasdt0(xn,xm),sz00)
| ~ spl7_72 ),
inference(resolution,[],[f783,f329]) ).
fof(f980,plain,
( ~ spl7_70
| spl7_95
| ~ spl7_8
| ~ spl7_13 ),
inference(avatar_split_clause,[],[f976,f380,f360,f978,f776]) ).
fof(f360,plain,
( spl7_8
<=> doDivides0(xp,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_8])]) ).
fof(f976,plain,
( ! [X3] :
( doDivides0(X3,sdtasdt0(xn,xm))
| ~ doDivides0(X3,xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X3) )
| ~ spl7_8
| ~ spl7_13 ),
inference(subsumption_resolution,[],[f891,f381]) ).
fof(f891,plain,
( ! [X3] :
( doDivides0(X3,sdtasdt0(xn,xm))
| ~ doDivides0(X3,xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X3) )
| ~ spl7_8 ),
inference(resolution,[],[f249,f361]) ).
fof(f361,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
| ~ spl7_8 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f975,plain,
( ~ spl7_70
| spl7_94
| ~ spl7_12
| ~ spl7_24 ),
inference(avatar_split_clause,[],[f971,f424,f376,f973,f776]) ).
fof(f424,plain,
( spl7_24
<=> doDivides0(xr,sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_24])]) ).
fof(f971,plain,
( ! [X7] :
( doDivides0(X7,sdtasdt0(xn,xm))
| ~ doDivides0(X7,xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X7) )
| ~ spl7_12
| ~ spl7_24 ),
inference(subsumption_resolution,[],[f895,f377]) ).
fof(f895,plain,
( ! [X7] :
( doDivides0(X7,sdtasdt0(xn,xm))
| ~ doDivides0(X7,xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X7) )
| ~ spl7_24 ),
inference(resolution,[],[f249,f425]) ).
fof(f425,plain,
( doDivides0(xr,sdtasdt0(xn,xm))
| ~ spl7_24 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f970,plain,
( ~ spl7_14
| ~ spl7_15
| spl7_70 ),
inference(avatar_contradiction_clause,[],[f969]) ).
fof(f969,plain,
( $false
| ~ spl7_14
| ~ spl7_15
| spl7_70 ),
inference(subsumption_resolution,[],[f968,f389]) ).
fof(f968,plain,
( ~ aNaturalNumber0(xn)
| ~ spl7_14
| spl7_70 ),
inference(subsumption_resolution,[],[f967,f385]) ).
fof(f967,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| spl7_70 ),
inference(resolution,[],[f777,f211]) ).
fof(f777,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl7_70 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f958,plain,
( ~ spl7_65
| ~ spl7_93
| ~ spl7_15
| ~ spl7_26
| spl7_27 ),
inference(avatar_split_clause,[],[f954,f436,f432,f388,f956,f738]) ).
fof(f956,plain,
( spl7_93
<=> sdtlseqdt0(xn,sdtsldt0(xn,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_93])]) ).
fof(f436,plain,
( spl7_27
<=> sQ6_eqProxy(xn,sdtsldt0(xn,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_27])]) ).
fof(f954,plain,
( ~ sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl7_15
| ~ spl7_26
| spl7_27 ),
inference(subsumption_resolution,[],[f953,f389]) ).
fof(f953,plain,
( ~ sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xn)
| ~ spl7_26
| spl7_27 ),
inference(subsumption_resolution,[],[f816,f437]) ).
fof(f437,plain,
( ~ sQ6_eqProxy(xn,sdtsldt0(xn,xr))
| spl7_27 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f816,plain,
( sQ6_eqProxy(xn,sdtsldt0(xn,xr))
| ~ sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xn)
| ~ spl7_26 ),
inference(resolution,[],[f315,f433]) ).
fof(f952,plain,
( ~ spl7_65
| spl7_92
| ~ spl7_15
| ~ spl7_26 ),
inference(avatar_split_clause,[],[f948,f432,f388,f950,f738]) ).
fof(f948,plain,
( ! [X12] :
( sdtlseqdt0(X12,xn)
| ~ sdtlseqdt0(X12,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X12) )
| ~ spl7_15
| ~ spl7_26 ),
inference(subsumption_resolution,[],[f910,f389]) ).
fof(f910,plain,
( ! [X12] :
( sdtlseqdt0(X12,xn)
| ~ sdtlseqdt0(X12,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X12) )
| ~ spl7_26 ),
inference(resolution,[],[f252,f433]) ).
fof(f947,plain,
( spl7_91
| ~ spl7_5
| ~ spl7_12
| ~ spl7_15
| spl7_65 ),
inference(avatar_split_clause,[],[f943,f738,f388,f376,f348,f945]) ).
fof(f943,plain,
( sQ6_eqProxy(sz00,xr)
| ~ spl7_5
| ~ spl7_12
| ~ spl7_15
| spl7_65 ),
inference(subsumption_resolution,[],[f942,f377]) ).
fof(f942,plain,
( sQ6_eqProxy(sz00,xr)
| ~ aNaturalNumber0(xr)
| ~ spl7_5
| ~ spl7_15
| spl7_65 ),
inference(subsumption_resolution,[],[f941,f389]) ).
fof(f941,plain,
( sQ6_eqProxy(sz00,xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xr)
| ~ spl7_5
| spl7_65 ),
inference(subsumption_resolution,[],[f940,f349]) ).
fof(f940,plain,
( ~ doDivides0(xr,xn)
| sQ6_eqProxy(sz00,xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xr)
| spl7_65 ),
inference(resolution,[],[f739,f313]) ).
fof(f313,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ~ doDivides0(X0,X1)
| sQ6_eqProxy(sz00,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_proxy_replacement,[],[f264,f267]) ).
fof(f264,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f230]) ).
fof(f230,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtsldt0(X1,X0) != X2 ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f141]) ).
fof(f141,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtsldt0(X1,X0) != X2 ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& sz00 != X0 )
=> ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',mDefQuot) ).
fof(f739,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| spl7_65 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f886,plain,
( spl7_90
| ~ spl7_89
| ~ spl7_55 ),
inference(avatar_split_clause,[],[f876,f613,f878,f881]) ).
fof(f881,plain,
( spl7_90
<=> sP0(sK2(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_90])]) ).
fof(f878,plain,
( spl7_89
<=> isPrime0(sK2(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_89])]) ).
fof(f613,plain,
( spl7_55
<=> sP1(sK2(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_55])]) ).
fof(f876,plain,
( ~ isPrime0(sK2(xk))
| sP0(sK2(xk))
| ~ spl7_55 ),
inference(resolution,[],[f614,f198]) ).
fof(f198,plain,
! [X0] :
( ~ sP1(X0)
| ~ isPrime0(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ( ( isPrime0(X0)
| ~ sP0(X0) )
& ( sP0(X0)
| ~ isPrime0(X0) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ( isPrime0(X0)
<=> sP0(X0) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f614,plain,
( sP1(sK2(xk))
| ~ spl7_55 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f883,plain,
( spl7_89
| ~ spl7_90
| ~ spl7_55 ),
inference(avatar_split_clause,[],[f875,f613,f881,f878]) ).
fof(f875,plain,
( ~ sP0(sK2(xk))
| isPrime0(sK2(xk))
| ~ spl7_55 ),
inference(resolution,[],[f614,f199]) ).
fof(f199,plain,
! [X0] :
( ~ sP1(X0)
| ~ sP0(X0)
| isPrime0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f871,plain,
( spl7_87
| spl7_88
| ~ spl7_12
| ~ spl7_15
| ~ spl7_76 ),
inference(avatar_split_clause,[],[f864,f799,f388,f376,f869,f866]) ).
fof(f866,plain,
( spl7_87
<=> sQ6_eqProxy(xr,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_87])]) ).
fof(f869,plain,
( spl7_88
<=> iLess0(xr,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_88])]) ).
fof(f864,plain,
( iLess0(xr,xn)
| sQ6_eqProxy(xr,xn)
| ~ spl7_12
| ~ spl7_15
| ~ spl7_76 ),
inference(subsumption_resolution,[],[f863,f377]) ).
fof(f863,plain,
( iLess0(xr,xn)
| sQ6_eqProxy(xr,xn)
| ~ aNaturalNumber0(xr)
| ~ spl7_15
| ~ spl7_76 ),
inference(subsumption_resolution,[],[f853,f389]) ).
fof(f853,plain,
( iLess0(xr,xn)
| sQ6_eqProxy(xr,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xr)
| ~ spl7_76 ),
inference(resolution,[],[f800,f305]) ).
fof(f862,plain,
( ~ spl7_85
| spl7_86
| ~ spl7_12
| ~ spl7_15
| ~ spl7_76 ),
inference(avatar_split_clause,[],[f855,f799,f388,f376,f860,f857]) ).
fof(f857,plain,
( spl7_85
<=> sdtlseqdt0(xn,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_85])]) ).
fof(f860,plain,
( spl7_86
<=> sQ6_eqProxy(xn,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_86])]) ).
fof(f855,plain,
( sQ6_eqProxy(xn,xr)
| ~ sdtlseqdt0(xn,xr)
| ~ spl7_12
| ~ spl7_15
| ~ spl7_76 ),
inference(subsumption_resolution,[],[f854,f389]) ).
fof(f854,plain,
( sQ6_eqProxy(xn,xr)
| ~ sdtlseqdt0(xn,xr)
| ~ aNaturalNumber0(xn)
| ~ spl7_12
| ~ spl7_76 ),
inference(subsumption_resolution,[],[f852,f377]) ).
fof(f852,plain,
( sQ6_eqProxy(xn,xr)
| ~ sdtlseqdt0(xn,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ spl7_76 ),
inference(resolution,[],[f800,f315]) ).
fof(f851,plain,
( spl7_84
| ~ spl7_77 ),
inference(avatar_split_clause,[],[f847,f802,f849]) ).
fof(f849,plain,
( spl7_84
<=> sQ6_eqProxy(xn,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_84])]) ).
fof(f847,plain,
( sQ6_eqProxy(xn,sz00)
| ~ spl7_77 ),
inference(resolution,[],[f803,f329]) ).
fof(f803,plain,
( sQ6_eqProxy(sz00,xn)
| ~ spl7_77 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f846,plain,
( ~ spl7_80
| ~ spl7_79
| spl7_82
| spl7_83
| ~ spl7_28 ),
inference(avatar_split_clause,[],[f828,f440,f844,f841,f831,f834]) ).
fof(f841,plain,
( spl7_82
<=> sQ6_eqProxy(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_82])]) ).
fof(f828,plain,
( iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| sQ6_eqProxy(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
| ~ spl7_28 ),
inference(resolution,[],[f441,f305]) ).
fof(f839,plain,
( ~ spl7_79
| ~ spl7_80
| ~ spl7_81
| ~ spl7_28
| spl7_29 ),
inference(avatar_split_clause,[],[f829,f444,f440,f837,f834,f831]) ).
fof(f444,plain,
( spl7_29
<=> sQ6_eqProxy(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_29])]) ).
fof(f829,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ spl7_28
| spl7_29 ),
inference(subsumption_resolution,[],[f827,f445]) ).
fof(f445,plain,
( ~ sQ6_eqProxy(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
| spl7_29 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f827,plain,
( sQ6_eqProxy(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ spl7_28 ),
inference(resolution,[],[f441,f315]) ).
fof(f809,plain,
( ~ spl7_70
| spl7_78
| spl7_72
| ~ spl7_12
| ~ spl7_24 ),
inference(avatar_split_clause,[],[f805,f424,f376,f782,f807,f776]) ).
fof(f805,plain,
( sQ6_eqProxy(sz00,sdtasdt0(xn,xm))
| sdtlseqdt0(xr,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl7_12
| ~ spl7_24 ),
inference(subsumption_resolution,[],[f767,f377]) ).
fof(f767,plain,
( sQ6_eqProxy(sz00,sdtasdt0(xn,xm))
| sdtlseqdt0(xr,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xr)
| ~ spl7_24 ),
inference(resolution,[],[f314,f425]) ).
fof(f804,plain,
( spl7_76
| spl7_77
| ~ spl7_5
| ~ spl7_12
| ~ spl7_15 ),
inference(avatar_split_clause,[],[f797,f388,f376,f348,f802,f799]) ).
fof(f797,plain,
( sQ6_eqProxy(sz00,xn)
| sdtlseqdt0(xr,xn)
| ~ spl7_5
| ~ spl7_12
| ~ spl7_15 ),
inference(subsumption_resolution,[],[f796,f377]) ).
fof(f796,plain,
( sQ6_eqProxy(sz00,xn)
| sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(xr)
| ~ spl7_5
| ~ spl7_15 ),
inference(subsumption_resolution,[],[f765,f389]) ).
fof(f765,plain,
( sQ6_eqProxy(sz00,xn)
| sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xr)
| ~ spl7_5 ),
inference(resolution,[],[f314,f349]) ).
fof(f795,plain,
( ~ spl7_73
| spl7_74
| spl7_75
| ~ spl7_7
| ~ spl7_13 ),
inference(avatar_split_clause,[],[f785,f380,f356,f793,f790,f787]) ).
fof(f785,plain,
( sQ6_eqProxy(sz00,sdtasdt0(sdtsldt0(xn,xr),xm))
| sdtlseqdt0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ spl7_7
| ~ spl7_13 ),
inference(subsumption_resolution,[],[f764,f381]) ).
fof(f764,plain,
( sQ6_eqProxy(sz00,sdtasdt0(sdtsldt0(xn,xr),xm))
| sdtlseqdt0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ aNaturalNumber0(xp)
| ~ spl7_7 ),
inference(resolution,[],[f314,f357]) ).
fof(f784,plain,
( ~ spl7_70
| spl7_71
| spl7_72
| ~ spl7_8
| ~ spl7_13 ),
inference(avatar_split_clause,[],[f774,f380,f360,f782,f779,f776]) ).
fof(f774,plain,
( sQ6_eqProxy(sz00,sdtasdt0(xn,xm))
| sdtlseqdt0(xp,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl7_8
| ~ spl7_13 ),
inference(subsumption_resolution,[],[f763,f381]) ).
fof(f763,plain,
( sQ6_eqProxy(sz00,sdtasdt0(xn,xm))
| sdtlseqdt0(xp,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ spl7_8 ),
inference(resolution,[],[f314,f361]) ).
fof(f760,plain,
( spl7_69
| ~ spl7_13
| ~ spl7_15
| ~ spl7_20
| spl7_21 ),
inference(avatar_split_clause,[],[f756,f412,f408,f388,f380,f758]) ).
fof(f758,plain,
( spl7_69
<=> iLess0(xn,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_69])]) ).
fof(f412,plain,
( spl7_21
<=> sQ6_eqProxy(xn,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_21])]) ).
fof(f756,plain,
( iLess0(xn,xp)
| ~ spl7_13
| ~ spl7_15
| ~ spl7_20
| spl7_21 ),
inference(subsumption_resolution,[],[f755,f389]) ).
fof(f755,plain,
( iLess0(xn,xp)
| ~ aNaturalNumber0(xn)
| ~ spl7_13
| ~ spl7_20
| spl7_21 ),
inference(subsumption_resolution,[],[f754,f381]) ).
fof(f754,plain,
( iLess0(xn,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ spl7_20
| spl7_21 ),
inference(subsumption_resolution,[],[f728,f413]) ).
fof(f413,plain,
( ~ sQ6_eqProxy(xn,xp)
| spl7_21 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f728,plain,
( iLess0(xn,xp)
| sQ6_eqProxy(xn,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ spl7_20 ),
inference(resolution,[],[f305,f409]) ).
fof(f753,plain,
( spl7_68
| ~ spl7_13
| ~ spl7_14
| ~ spl7_18
| spl7_19 ),
inference(avatar_split_clause,[],[f749,f404,f400,f384,f380,f751]) ).
fof(f751,plain,
( spl7_68
<=> iLess0(xm,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_68])]) ).
fof(f404,plain,
( spl7_19
<=> sQ6_eqProxy(xm,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_19])]) ).
fof(f749,plain,
( iLess0(xm,xp)
| ~ spl7_13
| ~ spl7_14
| ~ spl7_18
| spl7_19 ),
inference(subsumption_resolution,[],[f748,f385]) ).
fof(f748,plain,
( iLess0(xm,xp)
| ~ aNaturalNumber0(xm)
| ~ spl7_13
| ~ spl7_18
| spl7_19 ),
inference(subsumption_resolution,[],[f747,f381]) ).
fof(f747,plain,
( iLess0(xm,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ spl7_18
| spl7_19 ),
inference(subsumption_resolution,[],[f727,f405]) ).
fof(f405,plain,
( ~ sQ6_eqProxy(xm,xp)
| spl7_19 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f727,plain,
( iLess0(xm,xp)
| sQ6_eqProxy(xm,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ spl7_18 ),
inference(resolution,[],[f305,f401]) ).
fof(f746,plain,
( ~ spl7_65
| spl7_66
| spl7_67
| ~ spl7_15
| ~ spl7_26 ),
inference(avatar_split_clause,[],[f736,f432,f388,f744,f741,f738]) ).
fof(f741,plain,
( spl7_66
<=> sQ6_eqProxy(sdtsldt0(xn,xr),xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_66])]) ).
fof(f744,plain,
( spl7_67
<=> iLess0(sdtsldt0(xn,xr),xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_67])]) ).
fof(f736,plain,
( iLess0(sdtsldt0(xn,xr),xn)
| sQ6_eqProxy(sdtsldt0(xn,xr),xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl7_15
| ~ spl7_26 ),
inference(subsumption_resolution,[],[f725,f389]) ).
fof(f725,plain,
( iLess0(sdtsldt0(xn,xr),xn)
| sQ6_eqProxy(sdtsldt0(xn,xr),xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl7_26 ),
inference(resolution,[],[f305,f433]) ).
fof(f720,plain,
( spl7_64
| spl7_54
| spl7_53
| spl7_23 ),
inference(avatar_split_clause,[],[f638,f420,f605,f608,f718]) ).
fof(f718,plain,
( spl7_64
<=> sQ6_eqProxy(xk,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_64])]) ).
fof(f608,plain,
( spl7_54
<=> aNaturalNumber0(sK2(xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_54])]) ).
fof(f605,plain,
( spl7_53
<=> sP0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_53])]) ).
fof(f420,plain,
( spl7_23
<=> sQ6_eqProxy(sz00,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_23])]) ).
fof(f638,plain,
( sP0(xk)
| aNaturalNumber0(sK2(xk))
| sQ6_eqProxy(xk,sz10)
| spl7_23 ),
inference(resolution,[],[f602,f421]) ).
fof(f421,plain,
( ~ sQ6_eqProxy(sz00,xk)
| spl7_23 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f602,plain,
! [X0] :
( sQ6_eqProxy(sz00,X0)
| sP0(X0)
| aNaturalNumber0(sK2(X0))
| sQ6_eqProxy(X0,sz10) ),
inference(resolution,[],[f292,f329]) ).
fof(f292,plain,
! [X0] :
( sQ6_eqProxy(sz10,X0)
| aNaturalNumber0(sK2(X0))
| sP0(X0)
| sQ6_eqProxy(sz00,X0) ),
inference(equality_proxy_replacement,[],[f203,f267,f267]) ).
fof(f203,plain,
! [X0] :
( sP0(X0)
| aNaturalNumber0(sK2(X0))
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ( sP0(X0)
| ( sK2(X0) != X0
& sz10 != sK2(X0)
& doDivides0(sK2(X0),X0)
& aNaturalNumber0(sK2(X0)) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X2] :
( X0 = X2
| sz10 = X2
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2) )
& sz10 != X0
& sz00 != X0 )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f134,f135]) ).
fof(f135,plain,
! [X0] :
( ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( sK2(X0) != X0
& sz10 != sK2(X0)
& doDivides0(sK2(X0),X0)
& aNaturalNumber0(sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X2] :
( X0 = X2
| sz10 = X2
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2) )
& sz10 != X0
& sz00 != X0 )
| ~ sP0(X0) ) ),
inference(rectify,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 )
| ~ sP0(X0) ) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( sP0(X0)
<=> ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f716,plain,
( ~ spl7_53
| spl7_61
| spl7_62
| ~ spl7_11
| ~ spl7_12 ),
inference(avatar_split_clause,[],[f700,f376,f372,f706,f703,f605]) ).
fof(f703,plain,
( spl7_61
<=> sQ6_eqProxy(xk,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_61])]) ).
fof(f372,plain,
( spl7_11
<=> doDivides0(xr,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_11])]) ).
fof(f700,plain,
( sQ6_eqProxy(sz10,xr)
| sQ6_eqProxy(xk,xr)
| ~ sP0(xk)
| ~ spl7_11
| ~ spl7_12 ),
inference(subsumption_resolution,[],[f676,f377]) ).
fof(f676,plain,
( sQ6_eqProxy(sz10,xr)
| sQ6_eqProxy(xk,xr)
| ~ aNaturalNumber0(xr)
| ~ sP0(xk)
| ~ spl7_11 ),
inference(resolution,[],[f293,f373]) ).
fof(f373,plain,
( doDivides0(xr,xk)
| ~ spl7_11 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f293,plain,
! [X2,X0] :
( ~ doDivides0(X2,X0)
| sQ6_eqProxy(sz10,X2)
| sQ6_eqProxy(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ sP0(X0) ),
inference(equality_proxy_replacement,[],[f202,f267,f267]) ).
fof(f202,plain,
! [X2,X0] :
( X0 = X2
| sz10 = X2
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f713,plain,
( ~ spl7_56
| spl7_63
| spl7_62
| ~ spl7_12
| ~ spl7_24 ),
inference(avatar_split_clause,[],[f709,f424,f376,f706,f711,f683]) ).
fof(f683,plain,
( spl7_56
<=> sP0(sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_56])]) ).
fof(f709,plain,
( sQ6_eqProxy(sz10,xr)
| sQ6_eqProxy(sdtasdt0(xn,xm),xr)
| ~ sP0(sdtasdt0(xn,xm))
| ~ spl7_12
| ~ spl7_24 ),
inference(subsumption_resolution,[],[f677,f377]) ).
fof(f677,plain,
( sQ6_eqProxy(sz10,xr)
| sQ6_eqProxy(sdtasdt0(xn,xm),xr)
| ~ aNaturalNumber0(xr)
| ~ sP0(sdtasdt0(xn,xm))
| ~ spl7_24 ),
inference(resolution,[],[f293,f425]) ).
fof(f708,plain,
( spl7_61
| spl7_62
| ~ spl7_11
| ~ spl7_12
| ~ spl7_53 ),
inference(avatar_split_clause,[],[f701,f605,f376,f372,f706,f703]) ).
fof(f701,plain,
( sQ6_eqProxy(sz10,xr)
| sQ6_eqProxy(xk,xr)
| ~ spl7_11
| ~ spl7_12
| ~ spl7_53 ),
inference(subsumption_resolution,[],[f700,f606]) ).
fof(f606,plain,
( sP0(xk)
| ~ spl7_53 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f699,plain,
( ~ spl7_59
| spl7_60
| spl7_58
| ~ spl7_7
| ~ spl7_13 ),
inference(avatar_split_clause,[],[f692,f380,f356,f689,f697,f694]) ).
fof(f694,plain,
( spl7_59
<=> sP0(sdtasdt0(sdtsldt0(xn,xr),xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_59])]) ).
fof(f689,plain,
( spl7_58
<=> sQ6_eqProxy(sz10,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_58])]) ).
fof(f692,plain,
( sQ6_eqProxy(sz10,xp)
| sQ6_eqProxy(sdtasdt0(sdtsldt0(xn,xr),xm),xp)
| ~ sP0(sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ spl7_7
| ~ spl7_13 ),
inference(subsumption_resolution,[],[f674,f381]) ).
fof(f674,plain,
( sQ6_eqProxy(sz10,xp)
| sQ6_eqProxy(sdtasdt0(sdtsldt0(xn,xr),xm),xp)
| ~ aNaturalNumber0(xp)
| ~ sP0(sdtasdt0(sdtsldt0(xn,xr),xm))
| ~ spl7_7 ),
inference(resolution,[],[f293,f357]) ).
fof(f691,plain,
( ~ spl7_56
| spl7_57
| spl7_58
| ~ spl7_8
| ~ spl7_13 ),
inference(avatar_split_clause,[],[f681,f380,f360,f689,f686,f683]) ).
fof(f681,plain,
( sQ6_eqProxy(sz10,xp)
| sQ6_eqProxy(sdtasdt0(xn,xm),xp)
| ~ sP0(sdtasdt0(xn,xm))
| ~ spl7_8
| ~ spl7_13 ),
inference(subsumption_resolution,[],[f673,f381]) ).
fof(f673,plain,
( sQ6_eqProxy(sz10,xp)
| sQ6_eqProxy(sdtasdt0(xn,xm),xp)
| ~ aNaturalNumber0(xp)
| ~ sP0(sdtasdt0(xn,xm))
| ~ spl7_8 ),
inference(resolution,[],[f293,f361]) ).
fof(f615,plain,
( spl7_55
| ~ spl7_54 ),
inference(avatar_split_clause,[],[f611,f608,f613]) ).
fof(f611,plain,
( sP1(sK2(xk))
| ~ spl7_54 ),
inference(resolution,[],[f609,f207]) ).
fof(f207,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( sP1(X0)
| ~ aNaturalNumber0(X0) ),
inference(definition_folding,[],[f73,f129,f128]) ).
fof(f73,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( isPrime0(X0)
<=> ( ! [X1] :
( ( doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( X0 = X1
| sz10 = X1 ) )
& sz10 != X0
& sz00 != X0 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',mDefPrime) ).
fof(f609,plain,
( aNaturalNumber0(sK2(xk))
| ~ spl7_54 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f610,plain,
( spl7_53
| spl7_54
| spl7_22
| spl7_23 ),
inference(avatar_split_clause,[],[f603,f420,f416,f608,f605]) ).
fof(f416,plain,
( spl7_22
<=> sQ6_eqProxy(sz10,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_22])]) ).
fof(f603,plain,
( aNaturalNumber0(sK2(xk))
| sP0(xk)
| spl7_22
| spl7_23 ),
inference(subsumption_resolution,[],[f601,f421]) ).
fof(f601,plain,
( aNaturalNumber0(sK2(xk))
| sP0(xk)
| sQ6_eqProxy(sz00,xk)
| spl7_22 ),
inference(resolution,[],[f292,f417]) ).
fof(f417,plain,
( ~ sQ6_eqProxy(sz10,xk)
| spl7_22 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f600,plain,
( ~ spl7_51
| spl7_52
| spl7_22
| spl7_23 ),
inference(avatar_split_clause,[],[f593,f420,f416,f598,f595]) ).
fof(f595,plain,
( spl7_51
<=> aNaturalNumber0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_51])]) ).
fof(f598,plain,
( spl7_52
<=> sdtlseqdt0(sz10,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_52])]) ).
fof(f593,plain,
( sdtlseqdt0(sz10,xk)
| ~ aNaturalNumber0(xk)
| spl7_22
| spl7_23 ),
inference(subsumption_resolution,[],[f591,f421]) ).
fof(f591,plain,
( sdtlseqdt0(sz10,xk)
| sQ6_eqProxy(sz00,xk)
| ~ aNaturalNumber0(xk)
| spl7_22 ),
inference(resolution,[],[f285,f417]) ).
fof(f285,plain,
! [X0] :
( sQ6_eqProxy(sz10,X0)
| sdtlseqdt0(sz10,X0)
| sQ6_eqProxy(sz00,X0)
| ~ aNaturalNumber0(X0) ),
inference(equality_proxy_replacement,[],[f195,f267,f267]) ).
fof(f195,plain,
! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',mLENTr) ).
fof(f571,plain,
( spl7_50
| ~ spl7_6 ),
inference(avatar_split_clause,[],[f567,f352,f569]) ).
fof(f569,plain,
( spl7_50
<=> sQ6_eqProxy(sdtsldt0(sdtasdt0(xn,xm),xp),xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_50])]) ).
fof(f352,plain,
( spl7_6
<=> sQ6_eqProxy(xk,sdtsldt0(sdtasdt0(xn,xm),xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).
fof(f567,plain,
( sQ6_eqProxy(sdtsldt0(sdtasdt0(xn,xm),xp),xk)
| ~ spl7_6 ),
inference(resolution,[],[f353,f329]) ).
fof(f353,plain,
( sQ6_eqProxy(xk,sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ spl7_6 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f558,plain,
( ~ spl7_46
| ~ spl7_39
| spl7_47 ),
inference(avatar_split_clause,[],[f556,f534,f496,f531]) ).
fof(f531,plain,
( spl7_46
<=> sP0(xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_46])]) ).
fof(f496,plain,
( spl7_39
<=> sP1(xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_39])]) ).
fof(f534,plain,
( spl7_47
<=> isPrime0(xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_47])]) ).
fof(f556,plain,
( ~ sP0(xm)
| ~ spl7_39
| spl7_47 ),
inference(subsumption_resolution,[],[f550,f535]) ).
fof(f535,plain,
( ~ isPrime0(xm)
| spl7_47 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f550,plain,
( ~ sP0(xm)
| isPrime0(xm)
| ~ spl7_39 ),
inference(resolution,[],[f199,f497]) ).
fof(f497,plain,
( sP1(xm)
| ~ spl7_39 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f555,plain,
( ~ spl7_44
| ~ spl7_38
| spl7_45 ),
inference(avatar_split_clause,[],[f553,f527,f492,f524]) ).
fof(f524,plain,
( spl7_44
<=> sP0(xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_44])]) ).
fof(f492,plain,
( spl7_38
<=> sP1(xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_38])]) ).
fof(f527,plain,
( spl7_45
<=> isPrime0(xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_45])]) ).
fof(f553,plain,
( ~ sP0(xn)
| ~ spl7_38
| spl7_45 ),
inference(subsumption_resolution,[],[f549,f528]) ).
fof(f528,plain,
( ~ isPrime0(xn)
| spl7_45 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f549,plain,
( ~ sP0(xn)
| isPrime0(xn)
| ~ spl7_38 ),
inference(resolution,[],[f199,f493]) ).
fof(f493,plain,
( sP1(xn)
| ~ spl7_38 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f546,plain,
( spl7_49
| ~ spl7_10
| ~ spl7_41 ),
inference(avatar_split_clause,[],[f542,f504,f368,f544]) ).
fof(f544,plain,
( spl7_49
<=> sP0(xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_49])]) ).
fof(f368,plain,
( spl7_10
<=> isPrime0(xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_10])]) ).
fof(f504,plain,
( spl7_41
<=> sP1(xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_41])]) ).
fof(f542,plain,
( sP0(xr)
| ~ spl7_10
| ~ spl7_41 ),
inference(subsumption_resolution,[],[f512,f369]) ).
fof(f369,plain,
( isPrime0(xr)
| ~ spl7_10 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f512,plain,
( ~ isPrime0(xr)
| sP0(xr)
| ~ spl7_41 ),
inference(resolution,[],[f198,f505]) ).
fof(f505,plain,
( sP1(xr)
| ~ spl7_41 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f541,plain,
( spl7_48
| ~ spl7_9
| ~ spl7_40 ),
inference(avatar_split_clause,[],[f537,f500,f364,f539]) ).
fof(f539,plain,
( spl7_48
<=> sP0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_48])]) ).
fof(f500,plain,
( spl7_40
<=> sP1(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_40])]) ).
fof(f537,plain,
( sP0(xp)
| ~ spl7_9
| ~ spl7_40 ),
inference(subsumption_resolution,[],[f511,f365]) ).
fof(f511,plain,
( ~ isPrime0(xp)
| sP0(xp)
| ~ spl7_40 ),
inference(resolution,[],[f198,f501]) ).
fof(f501,plain,
( sP1(xp)
| ~ spl7_40 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f536,plain,
( spl7_46
| ~ spl7_47
| ~ spl7_39 ),
inference(avatar_split_clause,[],[f510,f496,f534,f531]) ).
fof(f510,plain,
( ~ isPrime0(xm)
| sP0(xm)
| ~ spl7_39 ),
inference(resolution,[],[f198,f497]) ).
fof(f529,plain,
( spl7_44
| ~ spl7_45
| ~ spl7_38 ),
inference(avatar_split_clause,[],[f509,f492,f527,f524]) ).
fof(f509,plain,
( ~ isPrime0(xn)
| sP0(xn)
| ~ spl7_38 ),
inference(resolution,[],[f198,f493]) ).
fof(f522,plain,
( ~ spl7_43
| spl7_34
| ~ spl7_37 ),
inference(avatar_split_clause,[],[f518,f488,f466,f520]) ).
fof(f520,plain,
( spl7_43
<=> isPrime0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_43])]) ).
fof(f466,plain,
( spl7_34
<=> sP0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_34])]) ).
fof(f488,plain,
( spl7_37
<=> sP1(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_37])]) ).
fof(f518,plain,
( ~ isPrime0(sz10)
| spl7_34
| ~ spl7_37 ),
inference(subsumption_resolution,[],[f508,f467]) ).
fof(f467,plain,
( ~ sP0(sz10)
| spl7_34 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f508,plain,
( ~ isPrime0(sz10)
| sP0(sz10)
| ~ spl7_37 ),
inference(resolution,[],[f198,f489]) ).
fof(f489,plain,
( sP1(sz10)
| ~ spl7_37 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f517,plain,
( ~ spl7_42
| spl7_35
| ~ spl7_36 ),
inference(avatar_split_clause,[],[f513,f484,f470,f515]) ).
fof(f515,plain,
( spl7_42
<=> isPrime0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_42])]) ).
fof(f470,plain,
( spl7_35
<=> sP0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_35])]) ).
fof(f484,plain,
( spl7_36
<=> sP1(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_36])]) ).
fof(f513,plain,
( ~ isPrime0(sz00)
| spl7_35
| ~ spl7_36 ),
inference(subsumption_resolution,[],[f507,f471]) ).
fof(f471,plain,
( ~ sP0(sz00)
| spl7_35 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f507,plain,
( ~ isPrime0(sz00)
| sP0(sz00)
| ~ spl7_36 ),
inference(resolution,[],[f198,f485]) ).
fof(f485,plain,
( sP1(sz00)
| ~ spl7_36 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f506,plain,
( spl7_41
| ~ spl7_12 ),
inference(avatar_split_clause,[],[f482,f376,f504]) ).
fof(f482,plain,
( sP1(xr)
| ~ spl7_12 ),
inference(resolution,[],[f207,f377]) ).
fof(f502,plain,
( spl7_40
| ~ spl7_13 ),
inference(avatar_split_clause,[],[f481,f380,f500]) ).
fof(f481,plain,
( sP1(xp)
| ~ spl7_13 ),
inference(resolution,[],[f207,f381]) ).
fof(f498,plain,
( spl7_39
| ~ spl7_14 ),
inference(avatar_split_clause,[],[f480,f384,f496]) ).
fof(f480,plain,
( sP1(xm)
| ~ spl7_14 ),
inference(resolution,[],[f207,f385]) ).
fof(f494,plain,
( spl7_38
| ~ spl7_15 ),
inference(avatar_split_clause,[],[f479,f388,f492]) ).
fof(f479,plain,
( sP1(xn)
| ~ spl7_15 ),
inference(resolution,[],[f207,f389]) ).
fof(f490,plain,
( spl7_37
| ~ spl7_33 ),
inference(avatar_split_clause,[],[f478,f462,f488]) ).
fof(f478,plain,
( sP1(sz10)
| ~ spl7_33 ),
inference(resolution,[],[f207,f463]) ).
fof(f486,plain,
( spl7_36
| ~ spl7_31 ),
inference(avatar_split_clause,[],[f477,f454,f484]) ).
fof(f477,plain,
( sP1(sz00)
| ~ spl7_31 ),
inference(resolution,[],[f207,f455]) ).
fof(f472,plain,
~ spl7_35,
inference(avatar_split_clause,[],[f257,f470]) ).
fof(f257,plain,
~ sP0(sz00),
inference(equality_resolution,[],[f200]) ).
fof(f200,plain,
! [X0] :
( sz00 != X0
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f468,plain,
~ spl7_34,
inference(avatar_split_clause,[],[f256,f466]) ).
fof(f256,plain,
~ sP0(sz10),
inference(equality_resolution,[],[f201]) ).
fof(f201,plain,
! [X0] :
( sz10 != X0
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f464,plain,
spl7_33,
inference(avatar_split_clause,[],[f185,f462]) ).
fof(f185,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( sz00 != sz10
& aNaturalNumber0(sz10) ),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',mSortsC_01) ).
fof(f460,plain,
~ spl7_32,
inference(avatar_split_clause,[],[f278,f458]) ).
fof(f278,plain,
~ sQ6_eqProxy(sz00,sz10),
inference(equality_proxy_replacement,[],[f186,f267]) ).
fof(f186,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f3]) ).
fof(f456,plain,
spl7_31,
inference(avatar_split_clause,[],[f184,f454]) ).
fof(f184,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',mSortsC) ).
fof(f452,plain,
~ spl7_23,
inference(avatar_split_clause,[],[f277,f420]) ).
fof(f277,plain,
~ sQ6_eqProxy(sz00,xk),
inference(equality_proxy_replacement,[],[f181,f267]) ).
fof(f181,plain,
sz00 != xk,
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( sz10 != xk
& sz00 != xk ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
~ ( sz10 = xk
| sz00 = xk ),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',m__2315) ).
fof(f451,plain,
~ spl7_22,
inference(avatar_split_clause,[],[f276,f416]) ).
fof(f276,plain,
~ sQ6_eqProxy(sz10,xk),
inference(equality_proxy_replacement,[],[f182,f267]) ).
fof(f182,plain,
sz10 != xk,
inference(cnf_transformation,[],[f61]) ).
fof(f450,plain,
( spl7_5
| spl7_30 ),
inference(avatar_split_clause,[],[f180,f448,f348]) ).
fof(f448,plain,
( spl7_30
<=> doDivides0(xr,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_30])]) ).
fof(f180,plain,
( doDivides0(xr,xm)
| doDivides0(xr,xn) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,axiom,
( doDivides0(xr,xm)
| doDivides0(xr,xn) ),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',m__2449) ).
fof(f446,plain,
~ spl7_29,
inference(avatar_split_clause,[],[f275,f444]) ).
fof(f275,plain,
~ sQ6_eqProxy(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)),
inference(equality_proxy_replacement,[],[f178,f267]) ).
fof(f178,plain,
sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
( sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
& sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) ),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',m__2686) ).
fof(f442,plain,
spl7_28,
inference(avatar_split_clause,[],[f179,f440]) ).
fof(f179,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)),
inference(cnf_transformation,[],[f55]) ).
fof(f438,plain,
~ spl7_27,
inference(avatar_split_clause,[],[f274,f436]) ).
fof(f274,plain,
~ sQ6_eqProxy(xn,sdtsldt0(xn,xr)),
inference(equality_proxy_replacement,[],[f176,f267]) ).
fof(f176,plain,
xn != sdtsldt0(xn,xr),
inference(cnf_transformation,[],[f53]) ).
fof(f53,axiom,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
& xn != sdtsldt0(xn,xr) ),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',m__2504) ).
fof(f434,plain,
spl7_26,
inference(avatar_split_clause,[],[f177,f432]) ).
fof(f177,plain,
sdtlseqdt0(sdtsldt0(xn,xr),xn),
inference(cnf_transformation,[],[f53]) ).
fof(f430,plain,
spl7_25,
inference(avatar_split_clause,[],[f174,f428]) ).
fof(f428,plain,
( spl7_25
<=> sdtlseqdt0(xr,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_25])]) ).
fof(f174,plain,
sdtlseqdt0(xr,xk),
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
( doDivides0(xr,sdtasdt0(xn,xm))
& sdtlseqdt0(xr,xk) ),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',m__2362) ).
fof(f426,plain,
spl7_24,
inference(avatar_split_clause,[],[f175,f424]) ).
fof(f175,plain,
doDivides0(xr,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f49]) ).
fof(f422,plain,
~ spl7_23,
inference(avatar_split_clause,[],[f273,f420]) ).
fof(f273,plain,
~ sQ6_eqProxy(sz00,xk),
inference(equality_proxy_replacement,[],[f172,f267]) ).
fof(f172,plain,
sz00 != xk,
inference(cnf_transformation,[],[f47]) ).
fof(f47,axiom,
( sz10 != xk
& sz00 != xk ),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',m__2327) ).
fof(f418,plain,
~ spl7_22,
inference(avatar_split_clause,[],[f272,f416]) ).
fof(f272,plain,
~ sQ6_eqProxy(sz10,xk),
inference(equality_proxy_replacement,[],[f173,f267]) ).
fof(f173,plain,
sz10 != xk,
inference(cnf_transformation,[],[f47]) ).
fof(f414,plain,
~ spl7_21,
inference(avatar_split_clause,[],[f271,f412]) ).
fof(f271,plain,
~ sQ6_eqProxy(xn,xp),
inference(equality_proxy_replacement,[],[f168,f267]) ).
fof(f168,plain,
xn != xp,
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
( sdtlseqdt0(xm,xp)
& xm != xp
& sdtlseqdt0(xn,xp)
& xn != xp ),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',m__2287) ).
fof(f410,plain,
spl7_20,
inference(avatar_split_clause,[],[f169,f408]) ).
fof(f169,plain,
sdtlseqdt0(xn,xp),
inference(cnf_transformation,[],[f44]) ).
fof(f406,plain,
~ spl7_19,
inference(avatar_split_clause,[],[f270,f404]) ).
fof(f270,plain,
~ sQ6_eqProxy(xm,xp),
inference(equality_proxy_replacement,[],[f170,f267]) ).
fof(f170,plain,
xm != xp,
inference(cnf_transformation,[],[f44]) ).
fof(f402,plain,
spl7_18,
inference(avatar_split_clause,[],[f171,f400]) ).
fof(f171,plain,
sdtlseqdt0(xm,xp),
inference(cnf_transformation,[],[f44]) ).
fof(f398,plain,
~ spl7_17,
inference(avatar_split_clause,[],[f269,f396]) ).
fof(f396,plain,
( spl7_17
<=> sQ6_eqProxy(xp,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_17])]) ).
fof(f269,plain,
~ sQ6_eqProxy(xp,xk),
inference(equality_proxy_replacement,[],[f166,f267]) ).
fof(f166,plain,
xp != xk,
inference(cnf_transformation,[],[f50]) ).
fof(f50,axiom,
( sdtlseqdt0(xk,xp)
& xp != xk ),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',m__2377) ).
fof(f394,plain,
spl7_16,
inference(avatar_split_clause,[],[f167,f392]) ).
fof(f392,plain,
( spl7_16
<=> sdtlseqdt0(xk,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_16])]) ).
fof(f167,plain,
sdtlseqdt0(xk,xp),
inference(cnf_transformation,[],[f50]) ).
fof(f390,plain,
spl7_15,
inference(avatar_split_clause,[],[f163,f388]) ).
fof(f163,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',m__1837) ).
fof(f386,plain,
spl7_14,
inference(avatar_split_clause,[],[f164,f384]) ).
fof(f164,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f382,plain,
spl7_13,
inference(avatar_split_clause,[],[f165,f380]) ).
fof(f165,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f378,plain,
spl7_12,
inference(avatar_split_clause,[],[f160,f376]) ).
fof(f160,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
( isPrime0(xr)
& doDivides0(xr,xk)
& aNaturalNumber0(xr) ),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',m__2342) ).
fof(f374,plain,
spl7_11,
inference(avatar_split_clause,[],[f161,f372]) ).
fof(f161,plain,
doDivides0(xr,xk),
inference(cnf_transformation,[],[f48]) ).
fof(f370,plain,
spl7_10,
inference(avatar_split_clause,[],[f162,f368]) ).
fof(f162,plain,
isPrime0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f366,plain,
spl7_9,
inference(avatar_split_clause,[],[f158,f364]) ).
fof(f158,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
( doDivides0(xp,sdtasdt0(xn,xm))
& isPrime0(xp) ),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',m__1860) ).
fof(f362,plain,
spl7_8,
inference(avatar_split_clause,[],[f159,f360]) ).
fof(f159,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f41]) ).
fof(f358,plain,
spl7_7,
inference(avatar_split_clause,[],[f157,f356]) ).
fof(f157,plain,
doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
inference(cnf_transformation,[],[f54]) ).
fof(f54,axiom,
doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',m__2529) ).
fof(f354,plain,
spl7_6,
inference(avatar_split_clause,[],[f268,f352]) ).
fof(f268,plain,
sQ6_eqProxy(xk,sdtsldt0(sdtasdt0(xn,xm),xp)),
inference(equality_proxy_replacement,[],[f156,f267]) ).
fof(f156,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',m__2306) ).
fof(f350,plain,
spl7_5,
inference(avatar_split_clause,[],[f155,f348]) ).
fof(f155,plain,
doDivides0(xr,xn),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
doDivides0(xr,xn),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',m__2487) ).
fof(f346,plain,
~ spl7_4,
inference(avatar_split_clause,[],[f154,f344]) ).
fof(f344,plain,
( spl7_4
<=> sdtlseqdt0(xp,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).
fof(f154,plain,
~ sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
~ sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',m__1870) ).
fof(f342,plain,
~ spl7_3,
inference(avatar_split_clause,[],[f153,f340]) ).
fof(f340,plain,
( spl7_3
<=> sdtlseqdt0(xp,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).
fof(f153,plain,
~ sdtlseqdt0(xp,xm),
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
~ sdtlseqdt0(xp,xm),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',m__2075) ).
fof(f338,plain,
~ spl7_2,
inference(avatar_split_clause,[],[f151,f336]) ).
fof(f151,plain,
~ doDivides0(xp,sdtsldt0(xn,xr)),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ~ doDivides0(xp,xm)
& ~ doDivides0(xp,sdtsldt0(xn,xr)) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,negated_conjecture,
~ ( doDivides0(xp,xm)
| doDivides0(xp,sdtsldt0(xn,xr)) ),
inference(negated_conjecture,[],[f56]) ).
fof(f56,conjecture,
( doDivides0(xp,xm)
| doDivides0(xp,sdtsldt0(xn,xr)) ),
file('/export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699',m__) ).
fof(f334,plain,
~ spl7_1,
inference(avatar_split_clause,[],[f152,f332]) ).
fof(f152,plain,
~ doDivides0(xp,xm),
inference(cnf_transformation,[],[f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM517+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n018.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Aug 25 17:18:59 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_CAX_RFO_SEQ problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.XA8ATPCAgD/Vampire---4.8_12699
% 0.15/0.36 % (12829)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (12836)lrs+2_5:4_anc=none:br=off:fde=unused:gsp=on:nm=32:nwc=1.3:sims=off:sos=all:urr=on:stl=62_558 on Vampire---4 for (558ds/0Mi)
% 0.22/0.42 % (12833)lrs+11_10:1_bs=unit_only:drc=off:fsd=off:fde=none:gs=on:msp=off:nm=16:nwc=2.0:nicw=on:sos=all:sac=on:sp=reverse_frequency:stl=62_575 on Vampire---4 for (575ds/0Mi)
% 0.22/0.42 % (12839)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_520 on Vampire---4 for (520ds/0Mi)
% 0.22/0.42 % (12840)ott+1010_1_aac=none:bce=on:ep=RS:fsd=off:nm=4:nwc=2.0:nicw=on:sas=z3:sims=off_453 on Vampire---4 for (453ds/0Mi)
% 0.22/0.42 % (12831)ott+3_2:7_add=large:amm=off:anc=all:bce=on:drc=off:fsd=off:fde=unused:gs=on:irw=on:lcm=predicate:lma=on:msp=off:nwc=10.0:sac=on_598 on Vampire---4 for (598ds/0Mi)
% 0.22/0.42 % (12830)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_1192 on Vampire---4 for (1192ds/0Mi)
% 0.22/0.43 % (12838)lrs-1010_20_afr=on:anc=all_dependent:bs=on:bsr=on:cond=on:er=known:fde=none:nm=4:nwc=1.3:sims=off:sp=frequency:urr=on:stl=62_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.53 % (12840)First to succeed.
% 0.22/0.54 % (12840)Refutation found. Thanks to Tanya!
% 0.22/0.54 % SZS status Theorem for Vampire---4
% 0.22/0.54 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.54 % (12840)------------------------------
% 0.22/0.54 % (12840)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.54 % (12840)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.54 % (12840)Termination reason: Refutation
% 0.22/0.54
% 0.22/0.54 % (12840)Memory used [KB]: 1791
% 0.22/0.54 % (12840)Time elapsed: 0.113 s
% 0.22/0.54 % (12840)------------------------------
% 0.22/0.54 % (12840)------------------------------
% 0.22/0.54 % (12829)Success in time 0.177 s
% 0.22/0.54 % Vampire---4.8 exiting
%------------------------------------------------------------------------------