TSTP Solution File: GEO325+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO325+1 : TPTP v8.1.2. Released v4.1.0.
% 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 : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 23:33:49 EDT 2023
% Result : Theorem 52.16s 7.86s
% Output : Refutation 52.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 201
% Syntax : Number of formulae : 1167 ( 92 unt; 0 def)
% Number of atoms : 6881 (1289 equ)
% Maximal formula atoms : 26 ( 5 avg)
% Number of connectives : 10322 (4608 ~;5065 |; 455 &)
% ( 143 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 146 ( 144 usr; 133 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 16 con; 0-3 aty)
% Number of variables : 1619 (;1476 !; 143 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f106191,plain,
$false,
inference(avatar_sat_refutation,[],[f1911,f1916,f1926,f1931,f1936,f1941,f1946,f1951,f1956,f1962,f1983,f1999,f2005,f2011,f2017,f2022,f2028,f2034,f2040,f2045,f2050,f2051,f2052,f2063,f2068,f2079,f2095,f2104,f2136,f2141,f2146,f2156,f2161,f2166,f2177,f2182,f2187,f2192,f2197,f2205,f2210,f2364,f2375,f2380,f2394,f2399,f2404,f2409,f2415,f2641,f2666,f2667,f2668,f2900,f2917,f2957,f2972,f2983,f2986,f3045,f3055,f3065,f3113,f3118,f3130,f3161,f3522,f3587,f3626,f6605,f8339,f11237,f11242,f11698,f11701,f11718,f11767,f15744,f17523,f27178,f27197,f27998,f28002,f29955,f34290,f42775,f43098,f43100,f43104,f43242,f43277,f47508,f48681,f48990,f53609,f53622,f53715,f53821,f54587,f54818,f59079,f59514,f60104,f60276,f63939,f64421,f65054,f70514,f87470,f89387,f89420,f89555,f89561,f89597,f89745,f91285,f91481,f99759,f99767,f100543,f100815,f101310,f101577,f101590,f101778,f101779,f102124,f102561,f102985,f103078,f103357,f103665,f104190,f104464,f105276,f105682,f106079]) ).
fof(f106079,plain,
( ~ spl119_7
| ~ spl119_9
| ~ spl119_30
| ~ spl119_33
| ~ spl119_216
| ~ spl119_260
| ~ spl119_455 ),
inference(avatar_contradiction_clause,[],[f106031]) ).
fof(f106031,plain,
( $false
| ~ spl119_7
| ~ spl119_9
| ~ spl119_30
| ~ spl119_33
| ~ spl119_216
| ~ spl119_260
| ~ spl119_455 ),
inference(unit_resulting_resolution,[],[f1945,f2062,f1935,f2078,f27177,f65119,f10690,f6654]) ).
fof(f6654,plain,
! [X18,X16,X17,X15] :
( ~ rR(X17,X16,X18)
| ~ rpoint(X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| ~ rR(X16,X15,X17)
| ~ rpoint(X15)
| ~ rR(X15,X16,X18) ),
inference(duplicate_literal_removal,[],[f6625]) ).
fof(f6625,plain,
! [X18,X16,X17,X15] :
( ~ rpoint(X15)
| ~ rpoint(X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| ~ rR(X16,X15,X17)
| ~ rR(X17,X16,X18)
| ~ rpoint(X15)
| ~ rpoint(X16)
| ~ rpoint(X18)
| ~ rR(X15,X16,X18) ),
inference(resolution,[],[f1230,f1075]) ).
fof(f1075,plain,
! [X3,X4,X5] :
( ~ rR(X4,X3,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X3,X4,X5) ),
inference(equality_resolution,[],[f1074]) ).
fof(f1074,plain,
! [X2,X3,X4,X5] :
( ~ rR(X3,X4,X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X4,X3,X2) ),
inference(equality_resolution,[],[f1073]) ).
fof(f1073,plain,
! [X2,X3,X1,X4,X5] :
( ~ rR(X3,X1,X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X1,X3,X2) ),
inference(equality_resolution,[],[f794]) ).
fof(f794,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rR(X0,X1,X2)
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X1,X0,X2) ),
inference(cnf_transformation,[],[f373]) ).
fof(f373,plain,
! [X0,X1,X2] :
( ( rR(X1,X2,X0)
& X0 != X1
& X0 != X2
& ~ rR(X0,X1,X2) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ~ rR(X1,X0,X2) ),
inference(flattening,[],[f372]) ).
fof(f372,plain,
! [X0,X1,X2] :
( ( rR(X1,X2,X0)
& X0 != X1
& X0 != X2
& ~ rR(X0,X1,X2) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ~ rR(X1,X0,X2) ),
inference(ennf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( rpoint(X3)
& X0 = X3 )
& ? [X4] :
( rpoint(X4)
& X1 = X4 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& rR(X1,X0,X2) )
=> ( rR(X1,X2,X0)
& X0 != X1
& X0 != X2
& ~ rR(X0,X1,X2) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X25,X26,X27] :
( ( ? [X30] :
( rpoint(X30)
& X25 = X30 )
& ? [X29] :
( rpoint(X29)
& X26 = X29 )
& ? [X28] :
( rpoint(X28)
& X27 = X28 )
& rR(X26,X25,X27) )
=> ( rR(X26,X27,X25)
& X25 != X26
& X25 != X27
& ~ rR(X25,X26,X27) ) ),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof(f1230,plain,
! [X6,X7,X4,X5] :
( rR(X5,X4,X7)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rR(X5,X4,X6)
| ~ rR(X6,X5,X7) ),
inference(equality_resolution,[],[f1229]) ).
fof(f1229,plain,
! [X3,X6,X7,X4,X5] :
( rR(X5,X4,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X3 != X7
| ~ rR(X5,X4,X6)
| ~ rR(X6,X5,X3) ),
inference(equality_resolution,[],[f1228]) ).
fof(f1228,plain,
! [X2,X3,X6,X7,X4,X5] :
( rR(X5,X4,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rR(X5,X4,X2)
| ~ rR(X2,X5,X3) ),
inference(equality_resolution,[],[f1227]) ).
fof(f1227,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rR(X1,X4,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rR(X1,X4,X2)
| ~ rR(X2,X1,X3) ),
inference(equality_resolution,[],[f861]) ).
fof(f861,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(X1,X0,X3)
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rR(X1,X0,X2)
| ~ rR(X2,X1,X3) ),
inference(cnf_transformation,[],[f437]) ).
fof(f437,plain,
! [X0,X1,X2,X3] :
( rR(X1,X0,X3)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X2 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X3 != X7 )
| ~ rR(X1,X0,X2)
| ~ rR(X2,X1,X3) ),
inference(flattening,[],[f436]) ).
fof(f436,plain,
! [X0,X1,X2,X3] :
( rR(X1,X0,X3)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X2 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X3 != X7 )
| ~ rR(X1,X0,X2)
| ~ rR(X2,X1,X3) ),
inference(ennf_transformation,[],[f242]) ).
fof(f242,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( rpoint(X4)
& X0 = X4 )
& ? [X5] :
( rpoint(X5)
& X1 = X5 )
& ? [X6] :
( rpoint(X6)
& X2 = X6 )
& ? [X7] :
( rpoint(X7)
& X3 = X7 )
& rR(X1,X0,X2)
& rR(X2,X1,X3) )
=> rR(X1,X0,X3) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X17,X18,X19,X20] :
( ( ? [X24] :
( rpoint(X24)
& X17 = X24 )
& ? [X23] :
( rpoint(X23)
& X18 = X23 )
& ? [X22] :
( rpoint(X22)
& X19 = X22 )
& ? [X21] :
( rpoint(X21)
& X20 = X21 )
& rR(X18,X17,X19)
& rR(X19,X18,X20) )
=> rR(X18,X17,X20) ),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','qu(cond(axiom(89), 0), imp(cond(axiom(89), 0)))') ).
fof(f10690,plain,
( rR(vd1303,vd1289,sK2)
| ~ spl119_216 ),
inference(avatar_component_clause,[],[f10689]) ).
fof(f10689,plain,
( spl119_216
<=> rR(vd1303,vd1289,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_216])]) ).
fof(f65119,plain,
( rR(sK2,vd1303,vd1287)
| ~ spl119_455 ),
inference(avatar_component_clause,[],[f65118]) ).
fof(f65118,plain,
( spl119_455
<=> rR(sK2,vd1303,vd1287) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_455])]) ).
fof(f27177,plain,
( rR(vd1289,vd1303,vd1287)
| ~ spl119_260 ),
inference(avatar_component_clause,[],[f27175]) ).
fof(f27175,plain,
( spl119_260
<=> rR(vd1289,vd1303,vd1287) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_260])]) ).
fof(f2078,plain,
( rpoint(vd1287)
| ~ spl119_33 ),
inference(avatar_component_clause,[],[f2076]) ).
fof(f2076,plain,
( spl119_33
<=> rpoint(vd1287) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_33])]) ).
fof(f1935,plain,
( rpoint(vd1303)
| ~ spl119_7 ),
inference(avatar_component_clause,[],[f1933]) ).
fof(f1933,plain,
( spl119_7
<=> rpoint(vd1303) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_7])]) ).
fof(f2062,plain,
( rpoint(vd1289)
| ~ spl119_30 ),
inference(avatar_component_clause,[],[f2060]) ).
fof(f2060,plain,
( spl119_30
<=> rpoint(vd1289) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_30])]) ).
fof(f1945,plain,
( rpoint(sK2)
| ~ spl119_9 ),
inference(avatar_component_clause,[],[f1943]) ).
fof(f1943,plain,
( spl119_9
<=> rpoint(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_9])]) ).
fof(f105682,plain,
( ~ spl119_2
| ~ spl119_7
| ~ spl119_9
| ~ spl119_25
| ~ spl119_33
| ~ spl119_44
| spl119_45
| spl119_215
| spl119_233
| ~ spl119_378
| spl119_548 ),
inference(avatar_contradiction_clause,[],[f105677]) ).
fof(f105677,plain,
( $false
| ~ spl119_2
| ~ spl119_7
| ~ spl119_9
| ~ spl119_25
| ~ spl119_33
| ~ spl119_44
| spl119_45
| spl119_215
| spl119_233
| ~ spl119_378
| spl119_548 ),
inference(unit_resulting_resolution,[],[f1935,f1910,f2032,f2140,f53819,f1945,f2078,f10686,f2145,f11697,f105275,f1687]) ).
fof(f1687,plain,
! [X3,X1,X7,X5] :
( v0 = vangle(X3,X1,X5)
| ~ ron(X5,X7)
| rR(X1,X3,X5)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rline(X7)
| X1 = X3
| X1 = X5
| ~ ron(X1,X7)
| ~ ron(X3,X7) ),
inference(equality_resolution,[],[f1686]) ).
fof(f1686,plain,
! [X3,X1,X6,X7,X5] :
( v0 = vangle(X3,X1,X5)
| ~ ron(X5,X6)
| rR(X1,X3,X5)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rline(X7)
| X6 != X7
| X1 = X3
| X1 = X5
| ~ ron(X1,X6)
| ~ ron(X3,X6) ),
inference(equality_resolution,[],[f1685]) ).
fof(f1685,plain,
! [X3,X1,X6,X7,X4,X5] :
( v0 = vangle(X3,X1,X4)
| ~ ron(X4,X6)
| rR(X1,X3,X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X1 = X3
| X1 = X4
| ~ ron(X1,X6)
| ~ ron(X3,X6) ),
inference(equality_resolution,[],[f1684]) ).
fof(f1684,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( v0 = vangle(X2,X1,X4)
| ~ ron(X4,X6)
| rR(X1,X2,X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X1 = X2
| X1 = X4
| ~ ron(X1,X6)
| ~ ron(X2,X6) ),
inference(equality_resolution,[],[f966]) ).
fof(f966,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( v0 = vangle(X2,X0,X4)
| ~ ron(X4,X6)
| rR(X0,X2,X4)
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(cnf_transformation,[],[f660]) ).
fof(f660,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ( ron(X4,X6)
& ~ rR(X0,X2,X4) )
| v0 != vangle(X2,X0,X4) )
& ( v0 = vangle(X2,X0,X4)
| ~ ron(X4,X6)
| rR(X0,X2,X4) ) )
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(flattening,[],[f659]) ).
fof(f659,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ( ron(X4,X6)
& ~ rR(X0,X2,X4) )
| v0 != vangle(X2,X0,X4) )
& ( v0 = vangle(X2,X0,X4)
| ~ ron(X4,X6)
| rR(X0,X2,X4) ) )
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(nnf_transformation,[],[f527]) ).
fof(f527,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ron(X4,X6)
& ~ rR(X0,X2,X4) )
<=> v0 = vangle(X2,X0,X4) )
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(flattening,[],[f526]) ).
fof(f526,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ron(X4,X6)
& ~ rR(X0,X2,X4) )
<=> v0 = vangle(X2,X0,X4) )
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(ennf_transformation,[],[f289]) ).
fof(f289,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rpoint(X1)
& X0 = X1
& rpoint(X3)
& X2 = X3
& rpoint(X5)
& X4 = X5
& rline(X7)
& X6 = X7
& X0 != X2
& X0 != X4
& ron(X0,X6)
& ron(X2,X6) )
=> ( ( ron(X4,X6)
& ~ rR(X0,X2,X4) )
<=> v0 = vangle(X2,X0,X4) ) ),
inference(rectify,[],[f86]) ).
fof(f86,axiom,
! [X88,X89,X90,X91,X92,X93,X94,X95] :
( ( rpoint(X89)
& X88 = X89
& rpoint(X91)
& X90 = X91
& rpoint(X93)
& X92 = X93
& rline(X95)
& X94 = X95
& X88 != X90
& X88 != X92
& ron(X88,X94)
& ron(X90,X94) )
=> ( ( ron(X92,X94)
& ~ rR(X88,X90,X92) )
<=> vangle(X90,X88,X92) = v0 ) ),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).
fof(f105275,plain,
( ~ rR(vd1303,vd1287,sK2)
| spl119_548 ),
inference(avatar_component_clause,[],[f105273]) ).
fof(f105273,plain,
( spl119_548
<=> rR(vd1303,vd1287,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_548])]) ).
fof(f11697,plain,
( v0 != vangle(vd1287,vd1303,sK2)
| spl119_233 ),
inference(avatar_component_clause,[],[f11695]) ).
fof(f11695,plain,
( spl119_233
<=> v0 = vangle(vd1287,vd1303,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_233])]) ).
fof(f2145,plain,
( vd1287 != vd1303
| spl119_45 ),
inference(avatar_component_clause,[],[f2143]) ).
fof(f2143,plain,
( spl119_45
<=> vd1287 = vd1303 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_45])]) ).
fof(f10686,plain,
( vd1303 != sK2
| spl119_215 ),
inference(avatar_component_clause,[],[f10685]) ).
fof(f10685,plain,
( spl119_215
<=> vd1303 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_215])]) ).
fof(f53819,plain,
( ron(sK2,vd1297)
| ~ spl119_378 ),
inference(avatar_component_clause,[],[f53818]) ).
fof(f53818,plain,
( spl119_378
<=> ron(sK2,vd1297) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_378])]) ).
fof(f2140,plain,
( ron(vd1303,vd1297)
| ~ spl119_44 ),
inference(avatar_component_clause,[],[f2138]) ).
fof(f2138,plain,
( spl119_44
<=> ron(vd1303,vd1297) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_44])]) ).
fof(f2032,plain,
( ron(vd1287,vd1297)
| ~ spl119_25 ),
inference(avatar_component_clause,[],[f2030]) ).
fof(f2030,plain,
( spl119_25
<=> ron(vd1287,vd1297) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_25])]) ).
fof(f1910,plain,
( rline(vd1297)
| ~ spl119_2 ),
inference(avatar_component_clause,[],[f1908]) ).
fof(f1908,plain,
( spl119_2
<=> rline(vd1297) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_2])]) ).
fof(f105276,plain,
( ~ spl119_548
| ~ spl119_7
| ~ spl119_9
| ~ spl119_33
| ~ spl119_453 ),
inference(avatar_split_clause,[],[f104229,f65048,f2076,f1943,f1933,f105273]) ).
fof(f65048,plain,
( spl119_453
<=> rR(sK2,vd1287,vd1303) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_453])]) ).
fof(f104229,plain,
( ~ rR(vd1303,vd1287,sK2)
| ~ spl119_7
| ~ spl119_9
| ~ spl119_33
| ~ spl119_453 ),
inference(subsumption_resolution,[],[f104228,f2078]) ).
fof(f104228,plain,
( ~ rR(vd1303,vd1287,sK2)
| ~ rpoint(vd1287)
| ~ spl119_7
| ~ spl119_9
| ~ spl119_453 ),
inference(subsumption_resolution,[],[f104227,f1945]) ).
fof(f104227,plain,
( ~ rpoint(sK2)
| ~ rR(vd1303,vd1287,sK2)
| ~ rpoint(vd1287)
| ~ spl119_7
| ~ spl119_453 ),
inference(subsumption_resolution,[],[f104170,f1935]) ).
fof(f104170,plain,
( ~ rpoint(vd1303)
| ~ rpoint(sK2)
| ~ rR(vd1303,vd1287,sK2)
| ~ rpoint(vd1287)
| ~ spl119_453 ),
inference(resolution,[],[f65050,f6796]) ).
fof(f6796,plain,
! [X21,X19,X20] :
( ~ rR(X21,X19,X20)
| ~ rpoint(X20)
| ~ rpoint(X21)
| ~ rR(X20,X19,X21)
| ~ rpoint(X19) ),
inference(duplicate_literal_removal,[],[f6759]) ).
fof(f6759,plain,
! [X21,X19,X20] :
( ~ rpoint(X19)
| ~ rpoint(X20)
| ~ rpoint(X21)
| ~ rpoint(X21)
| ~ rR(X20,X19,X21)
| ~ rR(X21,X19,X20)
| ~ rpoint(X21)
| ~ rpoint(X19) ),
inference(resolution,[],[f1234,f3485]) ).
fof(f3485,plain,
! [X2,X3] :
( ~ rR(X3,X2,X3)
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f3484]) ).
fof(f3484,plain,
! [X2,X3] :
( ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X3)
| ~ rR(X3,X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(resolution,[],[f1064,f1896]) ).
fof(f1896,plain,
! [X4,X5] :
( ~ rR(X4,X4,X5)
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f1068]) ).
fof(f1068,plain,
! [X4,X5] :
( ~ rpoint(X4)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X4,X4,X5) ),
inference(equality_resolution,[],[f1067]) ).
fof(f1067,plain,
! [X2,X4,X5] :
( ~ rpoint(X4)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X4,X4,X2) ),
inference(equality_resolution,[],[f1066]) ).
fof(f1066,plain,
! [X2,X3,X4,X5] :
( ~ rpoint(X3)
| ~ rpoint(X4)
| X3 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X3,X3,X2) ),
inference(equality_resolution,[],[f1065]) ).
fof(f1065,plain,
! [X2,X3,X1,X4,X5] :
( ~ rpoint(X3)
| X1 != X3
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X1,X1,X2) ),
inference(equality_resolution,[],[f796]) ).
fof(f796,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 != X1
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X1,X0,X2) ),
inference(cnf_transformation,[],[f373]) ).
fof(f1064,plain,
! [X3,X4,X5] :
( rR(X4,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X4,X3,X5) ),
inference(equality_resolution,[],[f1063]) ).
fof(f1063,plain,
! [X2,X3,X4,X5] :
( rR(X4,X2,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X4,X3,X2) ),
inference(equality_resolution,[],[f1062]) ).
fof(f1062,plain,
! [X2,X3,X1,X4,X5] :
( rR(X1,X2,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X1,X3,X2) ),
inference(equality_resolution,[],[f797]) ).
fof(f797,plain,
! [X2,X3,X0,X1,X4,X5] :
( rR(X1,X2,X0)
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X1,X0,X2) ),
inference(cnf_transformation,[],[f373]) ).
fof(f1234,plain,
! [X6,X7,X4,X5] :
( rR(X7,X4,X6)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rR(X5,X4,X6)
| ~ rR(X7,X4,X5) ),
inference(equality_resolution,[],[f1233]) ).
fof(f1233,plain,
! [X3,X6,X7,X4,X5] :
( rR(X3,X4,X6)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X3 != X7
| ~ rR(X5,X4,X6)
| ~ rR(X3,X4,X5) ),
inference(equality_resolution,[],[f1232]) ).
fof(f1232,plain,
! [X2,X3,X6,X7,X4,X5] :
( rR(X3,X4,X2)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rR(X5,X4,X2)
| ~ rR(X3,X4,X5) ),
inference(equality_resolution,[],[f1231]) ).
fof(f1231,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rR(X3,X4,X2)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rR(X1,X4,X2)
| ~ rR(X3,X4,X1) ),
inference(equality_resolution,[],[f862]) ).
fof(f862,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(X3,X0,X2)
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rR(X1,X0,X2)
| ~ rR(X3,X0,X1) ),
inference(cnf_transformation,[],[f439]) ).
fof(f439,plain,
! [X0,X1,X2,X3] :
( rR(X3,X0,X2)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X2 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X3 != X7 )
| ~ rR(X1,X0,X2)
| ~ rR(X3,X0,X1) ),
inference(flattening,[],[f438]) ).
fof(f438,plain,
! [X0,X1,X2,X3] :
( rR(X3,X0,X2)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X2 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X3 != X7 )
| ~ rR(X1,X0,X2)
| ~ rR(X3,X0,X1) ),
inference(ennf_transformation,[],[f243]) ).
fof(f243,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( rpoint(X4)
& X0 = X4 )
& ? [X5] :
( rpoint(X5)
& X1 = X5 )
& ? [X6] :
( rpoint(X6)
& X2 = X6 )
& ? [X7] :
( rpoint(X7)
& X3 = X7 )
& rR(X1,X0,X2)
& rR(X3,X0,X1) )
=> rR(X3,X0,X2) ),
inference(rectify,[],[f103]) ).
fof(f103,axiom,
! [X172,X173,X174,X175] :
( ( ? [X179] :
( rpoint(X179)
& X172 = X179 )
& ? [X178] :
( rpoint(X178)
& X173 = X178 )
& ? [X177] :
( rpoint(X177)
& X174 = X177 )
& ? [X176] :
( rpoint(X176)
& X175 = X176 )
& rR(X173,X172,X174)
& rR(X175,X172,X173) )
=> rR(X175,X172,X174) ),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','qu(cond(axiom(87), 0), imp(cond(axiom(87), 0)))') ).
fof(f65050,plain,
( rR(sK2,vd1287,vd1303)
| ~ spl119_453 ),
inference(avatar_component_clause,[],[f65048]) ).
fof(f104464,plain,
( vd1289 != vd1300
| sK16(vd1287,vd1289) != sK16(vd1287,sK2)
| vf(vd1287,vd1289) != vf(vd1287,sK2)
| vf(vd1287,sK2) != sK16(vd1287,vd1289)
| vf(vd1287,vd1300) = sK16(vd1287,sK2) ),
introduced(theory_tautology_sat_conflict,[]) ).
fof(f104190,plain,
( ~ spl119_7
| ~ spl119_9
| ~ spl119_33
| ~ spl119_453
| spl119_455 ),
inference(avatar_contradiction_clause,[],[f104151]) ).
fof(f104151,plain,
( $false
| ~ spl119_7
| ~ spl119_9
| ~ spl119_33
| ~ spl119_453
| spl119_455 ),
inference(unit_resulting_resolution,[],[f2078,f1935,f1945,f65120,f65050,f1064]) ).
fof(f65120,plain,
( ~ rR(sK2,vd1303,vd1287)
| spl119_455 ),
inference(avatar_component_clause,[],[f65118]) ).
fof(f103665,plain,
( ~ spl119_5
| ~ spl119_6
| ~ spl119_30
| ~ spl119_33
| ~ spl119_52
| ~ spl119_234
| ~ spl119_247 ),
inference(avatar_contradiction_clause,[],[f103627]) ).
fof(f103627,plain,
( $false
| ~ spl119_5
| ~ spl119_6
| ~ spl119_30
| ~ spl119_33
| ~ spl119_52
| ~ spl119_234
| ~ spl119_247 ),
inference(unit_resulting_resolution,[],[f2062,f2078,f11716,f17245,f11716,f6805]) ).
fof(f6805,plain,
( ! [X28,X27] :
( ~ rR(vd1329,X27,vd1287)
| ~ rpoint(X28)
| ~ rR(X28,X27,vd1300)
| ~ rR(vd1329,X27,X28)
| ~ rpoint(X27) )
| ~ spl119_5
| ~ spl119_6
| ~ spl119_33
| ~ spl119_52 ),
inference(subsumption_resolution,[],[f6804,f1930]) ).
fof(f1930,plain,
( rpoint(vd1329)
| ~ spl119_6 ),
inference(avatar_component_clause,[],[f1928]) ).
fof(f1928,plain,
( spl119_6
<=> rpoint(vd1329) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_6])]) ).
fof(f6804,plain,
( ! [X28,X27] :
( ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(vd1329)
| ~ rR(X28,X27,vd1300)
| ~ rR(vd1329,X27,X28)
| ~ rR(vd1329,X27,vd1287) )
| ~ spl119_5
| ~ spl119_6
| ~ spl119_33
| ~ spl119_52 ),
inference(subsumption_resolution,[],[f6792,f1925]) ).
fof(f1925,plain,
( rpoint(vd1300)
| ~ spl119_5 ),
inference(avatar_component_clause,[],[f1923]) ).
fof(f1923,plain,
( spl119_5
<=> rpoint(vd1300) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_5])]) ).
fof(f6792,plain,
( ! [X28,X27] :
( ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(vd1300)
| ~ rpoint(vd1329)
| ~ rR(X28,X27,vd1300)
| ~ rR(vd1329,X27,X28)
| ~ rR(vd1329,X27,vd1287) )
| ~ spl119_5
| ~ spl119_6
| ~ spl119_33
| ~ spl119_52 ),
inference(duplicate_literal_removal,[],[f6763]) ).
fof(f6763,plain,
( ! [X28,X27] :
( ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(vd1300)
| ~ rpoint(vd1329)
| ~ rR(X28,X27,vd1300)
| ~ rR(vd1329,X27,X28)
| ~ rR(vd1329,X27,vd1287)
| ~ rpoint(X27) )
| ~ spl119_5
| ~ spl119_6
| ~ spl119_33
| ~ spl119_52 ),
inference(resolution,[],[f1234,f6594]) ).
fof(f6594,plain,
( ! [X2] :
( ~ rR(vd1329,X2,vd1300)
| ~ rR(vd1329,X2,vd1287)
| ~ rpoint(X2) )
| ~ spl119_5
| ~ spl119_6
| ~ spl119_33
| ~ spl119_52 ),
inference(subsumption_resolution,[],[f6593,f1925]) ).
fof(f6593,plain,
( ! [X2] :
( ~ rpoint(X2)
| ~ rpoint(vd1300)
| ~ rR(vd1329,X2,vd1287)
| ~ rR(vd1329,X2,vd1300) )
| ~ spl119_6
| ~ spl119_33
| ~ spl119_52 ),
inference(subsumption_resolution,[],[f6592,f2078]) ).
fof(f6592,plain,
( ! [X2] :
( ~ rpoint(X2)
| ~ rpoint(vd1287)
| ~ rpoint(vd1300)
| ~ rR(vd1329,X2,vd1287)
| ~ rR(vd1329,X2,vd1300) )
| ~ spl119_6
| ~ spl119_52 ),
inference(subsumption_resolution,[],[f6578,f1930]) ).
fof(f6578,plain,
( ! [X2] :
( ~ rpoint(X2)
| ~ rpoint(vd1329)
| ~ rpoint(vd1287)
| ~ rpoint(vd1300)
| ~ rR(vd1329,X2,vd1287)
| ~ rR(vd1329,X2,vd1300) )
| ~ spl119_52 ),
inference(resolution,[],[f1226,f2186]) ).
fof(f2186,plain,
( rR(vd1329,vd1287,vd1300)
| ~ spl119_52 ),
inference(avatar_component_clause,[],[f2184]) ).
fof(f2184,plain,
( spl119_52
<=> rR(vd1329,vd1287,vd1300) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_52])]) ).
fof(f1226,plain,
! [X6,X7,X4,X5] :
( ~ rR(X5,X6,X7)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rR(X5,X4,X6)
| ~ rR(X5,X4,X7) ),
inference(equality_resolution,[],[f1225]) ).
fof(f1225,plain,
! [X3,X6,X7,X4,X5] :
( ~ rR(X5,X6,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X3 != X7
| ~ rR(X5,X4,X6)
| ~ rR(X5,X4,X3) ),
inference(equality_resolution,[],[f1224]) ).
fof(f1224,plain,
! [X2,X3,X6,X7,X4,X5] :
( ~ rR(X5,X2,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rR(X5,X4,X2)
| ~ rR(X5,X4,X3) ),
inference(equality_resolution,[],[f1223]) ).
fof(f1223,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ~ rR(X1,X2,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rR(X1,X4,X2)
| ~ rR(X1,X4,X3) ),
inference(equality_resolution,[],[f860]) ).
fof(f860,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rR(X1,X2,X3)
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rR(X1,X0,X2)
| ~ rR(X1,X0,X3) ),
inference(cnf_transformation,[],[f435]) ).
fof(f435,plain,
! [X0,X1,X2,X3] :
( ~ rR(X1,X2,X3)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X2 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X3 != X7 )
| ~ rR(X1,X0,X2)
| ~ rR(X1,X0,X3) ),
inference(flattening,[],[f434]) ).
fof(f434,plain,
! [X0,X1,X2,X3] :
( ~ rR(X1,X2,X3)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X2 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X3 != X7 )
| ~ rR(X1,X0,X2)
| ~ rR(X1,X0,X3) ),
inference(ennf_transformation,[],[f241]) ).
fof(f241,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( rpoint(X4)
& X0 = X4 )
& ? [X5] :
( rpoint(X5)
& X1 = X5 )
& ? [X6] :
( rpoint(X6)
& X2 = X6 )
& ? [X7] :
( rpoint(X7)
& X3 = X7 )
& rR(X1,X0,X2)
& rR(X1,X0,X3) )
=> ~ rR(X1,X2,X3) ),
inference(rectify,[],[f140]) ).
fof(f140,axiom,
! [X463,X464,X465,X466] :
( ( ? [X470] :
( rpoint(X470)
& X463 = X470 )
& ? [X469] :
( rpoint(X469)
& X464 = X469 )
& ? [X468] :
( rpoint(X468)
& X465 = X468 )
& ? [X467] :
( rpoint(X467)
& X466 = X467 )
& rR(X464,X463,X465)
& rR(X464,X463,X466) )
=> ~ rR(X464,X465,X466) ),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','qu(cond(axiom(93), 0), imp(cond(axiom(93), 0)))') ).
fof(f17245,plain,
( rR(vd1287,vd1289,vd1300)
| ~ spl119_247 ),
inference(avatar_component_clause,[],[f17244]) ).
fof(f17244,plain,
( spl119_247
<=> rR(vd1287,vd1289,vd1300) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_247])]) ).
fof(f11716,plain,
( rR(vd1329,vd1289,vd1287)
| ~ spl119_234 ),
inference(avatar_component_clause,[],[f11715]) ).
fof(f11715,plain,
( spl119_234
<=> rR(vd1329,vd1289,vd1287) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_234])]) ).
fof(f103357,plain,
( ~ spl119_6
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| ~ spl119_232
| spl119_520 ),
inference(avatar_contradiction_clause,[],[f103356]) ).
fof(f103356,plain,
( $false
| ~ spl119_6
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| ~ spl119_232
| spl119_520 ),
inference(subsumption_resolution,[],[f103355,f2062]) ).
fof(f103355,plain,
( ~ rpoint(vd1289)
| ~ spl119_6
| ~ spl119_7
| ~ spl119_33
| ~ spl119_53
| ~ spl119_232
| spl119_520 ),
inference(subsumption_resolution,[],[f103318,f2191]) ).
fof(f2191,plain,
( rR(vd1289,vd1287,vd1303)
| ~ spl119_53 ),
inference(avatar_component_clause,[],[f2189]) ).
fof(f2189,plain,
( spl119_53
<=> rR(vd1289,vd1287,vd1303) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_53])]) ).
fof(f103318,plain,
( ~ rR(vd1289,vd1287,vd1303)
| ~ rpoint(vd1289)
| ~ spl119_6
| ~ spl119_7
| ~ spl119_33
| ~ spl119_232
| spl119_520 ),
inference(resolution,[],[f11692,f91497]) ).
fof(f91497,plain,
( ! [X1] :
( ~ rR(vd1329,vd1287,X1)
| ~ rR(X1,vd1287,vd1303)
| ~ rpoint(X1) )
| ~ spl119_6
| ~ spl119_7
| ~ spl119_33
| spl119_520 ),
inference(subsumption_resolution,[],[f91496,f1930]) ).
fof(f91496,plain,
( ! [X1] :
( ~ rpoint(X1)
| ~ rpoint(vd1329)
| ~ rR(X1,vd1287,vd1303)
| ~ rR(vd1329,vd1287,X1) )
| ~ spl119_7
| ~ spl119_33
| spl119_520 ),
inference(subsumption_resolution,[],[f91495,f1935]) ).
fof(f91495,plain,
( ! [X1] :
( ~ rpoint(X1)
| ~ rpoint(vd1303)
| ~ rpoint(vd1329)
| ~ rR(X1,vd1287,vd1303)
| ~ rR(vd1329,vd1287,X1) )
| ~ spl119_33
| spl119_520 ),
inference(subsumption_resolution,[],[f91488,f2078]) ).
fof(f91488,plain,
( ! [X1] :
( ~ rpoint(vd1287)
| ~ rpoint(X1)
| ~ rpoint(vd1303)
| ~ rpoint(vd1329)
| ~ rR(X1,vd1287,vd1303)
| ~ rR(vd1329,vd1287,X1) )
| spl119_520 ),
inference(resolution,[],[f91480,f1234]) ).
fof(f91480,plain,
( ~ rR(vd1329,vd1287,vd1303)
| spl119_520 ),
inference(avatar_component_clause,[],[f91478]) ).
fof(f91478,plain,
( spl119_520
<=> rR(vd1329,vd1287,vd1303) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_520])]) ).
fof(f11692,plain,
( rR(vd1329,vd1287,vd1289)
| ~ spl119_232 ),
inference(avatar_component_clause,[],[f11691]) ).
fof(f11691,plain,
( spl119_232
<=> rR(vd1329,vd1287,vd1289) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_232])]) ).
fof(f103078,plain,
( v0 != sF118
| v0 != sF117
| sF117 = sF118 ),
introduced(theory_tautology_sat_conflict,[]) ).
fof(f102985,plain,
( ~ spl119_6
| ~ spl119_9
| ~ spl119_30
| ~ spl119_33
| spl119_234
| ~ spl119_241
| ~ spl119_509 ),
inference(avatar_contradiction_clause,[],[f102984]) ).
fof(f102984,plain,
( $false
| ~ spl119_6
| ~ spl119_9
| ~ spl119_30
| ~ spl119_33
| spl119_234
| ~ spl119_241
| ~ spl119_509 ),
inference(subsumption_resolution,[],[f102983,f1945]) ).
fof(f102983,plain,
( ~ rpoint(sK2)
| ~ spl119_6
| ~ spl119_30
| ~ spl119_33
| spl119_234
| ~ spl119_241
| ~ spl119_509 ),
inference(subsumption_resolution,[],[f102938,f87469]) ).
fof(f87469,plain,
( rR(sK2,vd1329,vd1287)
| ~ spl119_509 ),
inference(avatar_component_clause,[],[f87467]) ).
fof(f87467,plain,
( spl119_509
<=> rR(sK2,vd1329,vd1287) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_509])]) ).
fof(f102938,plain,
( ~ rR(sK2,vd1329,vd1287)
| ~ rpoint(sK2)
| ~ spl119_6
| ~ spl119_30
| ~ spl119_33
| spl119_234
| ~ spl119_241 ),
inference(resolution,[],[f12254,f53061]) ).
fof(f53061,plain,
( ! [X6] :
( ~ rR(vd1329,X6,vd1289)
| ~ rR(X6,vd1329,vd1287)
| ~ rpoint(X6) )
| ~ spl119_6
| ~ spl119_30
| ~ spl119_33
| spl119_234 ),
inference(subsumption_resolution,[],[f53060,f2062]) ).
fof(f53060,plain,
( ! [X6] :
( ~ rpoint(X6)
| ~ rR(X6,vd1329,vd1287)
| ~ rpoint(vd1289)
| ~ rR(vd1329,X6,vd1289) )
| ~ spl119_6
| ~ spl119_30
| ~ spl119_33
| spl119_234 ),
inference(subsumption_resolution,[],[f53049,f1930]) ).
fof(f53049,plain,
( ! [X6] :
( ~ rpoint(X6)
| ~ rR(X6,vd1329,vd1287)
| ~ rpoint(vd1329)
| ~ rpoint(vd1289)
| ~ rR(vd1329,X6,vd1289) )
| ~ spl119_6
| ~ spl119_30
| ~ spl119_33
| spl119_234 ),
inference(duplicate_literal_removal,[],[f53046]) ).
fof(f53046,plain,
( ! [X6] :
( ~ rpoint(X6)
| ~ rR(X6,vd1329,vd1287)
| ~ rpoint(X6)
| ~ rpoint(vd1329)
| ~ rpoint(vd1289)
| ~ rR(vd1329,X6,vd1289) )
| ~ spl119_6
| ~ spl119_30
| ~ spl119_33
| spl119_234 ),
inference(resolution,[],[f44509,f1064]) ).
fof(f44509,plain,
( ! [X2] :
( ~ rR(vd1329,vd1289,X2)
| ~ rpoint(X2)
| ~ rR(X2,vd1329,vd1287) )
| ~ spl119_6
| ~ spl119_30
| ~ spl119_33
| spl119_234 ),
inference(subsumption_resolution,[],[f44508,f2078]) ).
fof(f44508,plain,
( ! [X2] :
( ~ rpoint(X2)
| ~ rpoint(vd1287)
| ~ rR(vd1329,vd1289,X2)
| ~ rR(X2,vd1329,vd1287) )
| ~ spl119_6
| ~ spl119_30
| spl119_234 ),
inference(subsumption_resolution,[],[f44507,f1930]) ).
fof(f44507,plain,
( ! [X2] :
( ~ rpoint(vd1329)
| ~ rpoint(X2)
| ~ rpoint(vd1287)
| ~ rR(vd1329,vd1289,X2)
| ~ rR(X2,vd1329,vd1287) )
| ~ spl119_30
| spl119_234 ),
inference(subsumption_resolution,[],[f44494,f2062]) ).
fof(f44494,plain,
( ! [X2] :
( ~ rpoint(vd1289)
| ~ rpoint(vd1329)
| ~ rpoint(X2)
| ~ rpoint(vd1287)
| ~ rR(vd1329,vd1289,X2)
| ~ rR(X2,vd1329,vd1287) )
| spl119_234 ),
inference(resolution,[],[f11717,f1230]) ).
fof(f11717,plain,
( ~ rR(vd1329,vd1289,vd1287)
| spl119_234 ),
inference(avatar_component_clause,[],[f11715]) ).
fof(f12254,plain,
( rR(vd1329,sK2,vd1289)
| ~ spl119_241 ),
inference(avatar_component_clause,[],[f12253]) ).
fof(f12253,plain,
( spl119_241
<=> rR(vd1329,sK2,vd1289) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_241])]) ).
fof(f102561,plain,
( ~ spl119_5
| ~ spl119_7
| ~ spl119_9
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| ~ spl119_54
| spl119_157
| ~ spl119_216 ),
inference(avatar_contradiction_clause,[],[f102560]) ).
fof(f102560,plain,
( $false
| ~ spl119_5
| ~ spl119_7
| ~ spl119_9
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| ~ spl119_54
| spl119_157
| ~ spl119_216 ),
inference(subsumption_resolution,[],[f102559,f1945]) ).
fof(f102559,plain,
( ~ rpoint(sK2)
| ~ spl119_5
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| ~ spl119_54
| spl119_157
| ~ spl119_216 ),
inference(subsumption_resolution,[],[f102508,f2196]) ).
fof(f2196,plain,
( rR(sK2,vd1287,vd1300)
| ~ spl119_54 ),
inference(avatar_component_clause,[],[f2194]) ).
fof(f2194,plain,
( spl119_54
<=> rR(sK2,vd1287,vd1300) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_54])]) ).
fof(f102508,plain,
( ~ rR(sK2,vd1287,vd1300)
| ~ rpoint(sK2)
| ~ spl119_5
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| spl119_157
| ~ spl119_216 ),
inference(resolution,[],[f10690,f69750]) ).
fof(f69750,plain,
( ! [X0] :
( ~ rR(vd1303,vd1289,X0)
| ~ rR(X0,vd1287,vd1300)
| ~ rpoint(X0) )
| ~ spl119_5
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| spl119_157 ),
inference(subsumption_resolution,[],[f69738,f1935]) ).
fof(f69738,plain,
( ! [X0] :
( ~ rpoint(X0)
| ~ rpoint(vd1303)
| ~ rR(X0,vd1287,vd1300)
| ~ rR(vd1303,vd1289,X0) )
| ~ spl119_5
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| spl119_157 ),
inference(resolution,[],[f51426,f2191]) ).
fof(f51426,plain,
( ! [X4,X5] :
( ~ rR(vd1289,vd1287,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X4,vd1287,vd1300)
| ~ rR(X5,vd1289,X4) )
| ~ spl119_5
| ~ spl119_30
| ~ spl119_33
| spl119_157 ),
inference(subsumption_resolution,[],[f51425,f2062]) ).
fof(f51425,plain,
( ! [X4,X5] :
( ~ rR(X4,vd1287,vd1300)
| ~ rpoint(X4)
| ~ rpoint(vd1289)
| ~ rpoint(X5)
| ~ rR(vd1289,vd1287,X5)
| ~ rR(X5,vd1289,X4) )
| ~ spl119_5
| ~ spl119_30
| ~ spl119_33
| spl119_157 ),
inference(subsumption_resolution,[],[f51416,f2078]) ).
fof(f51416,plain,
( ! [X4,X5] :
( ~ rR(X4,vd1287,vd1300)
| ~ rpoint(X4)
| ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| ~ rpoint(X5)
| ~ rR(vd1289,vd1287,X5)
| ~ rR(X5,vd1289,X4) )
| ~ spl119_5
| ~ spl119_30
| ~ spl119_33
| spl119_157 ),
inference(duplicate_literal_removal,[],[f51411]) ).
fof(f51411,plain,
( ! [X4,X5] :
( ~ rR(X4,vd1287,vd1300)
| ~ rpoint(X4)
| ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rR(vd1289,vd1287,X5)
| ~ rR(X5,vd1289,X4) )
| ~ spl119_5
| ~ spl119_30
| ~ spl119_33
| spl119_157 ),
inference(resolution,[],[f43463,f1230]) ).
fof(f43463,plain,
( ! [X1] :
( ~ rR(vd1289,vd1287,X1)
| ~ rR(X1,vd1287,vd1300)
| ~ rpoint(X1) )
| ~ spl119_5
| ~ spl119_30
| ~ spl119_33
| spl119_157 ),
inference(subsumption_resolution,[],[f43462,f2062]) ).
fof(f43462,plain,
( ! [X1] :
( ~ rpoint(X1)
| ~ rpoint(vd1289)
| ~ rR(X1,vd1287,vd1300)
| ~ rR(vd1289,vd1287,X1) )
| ~ spl119_5
| ~ spl119_33
| spl119_157 ),
inference(subsumption_resolution,[],[f43461,f1925]) ).
fof(f43461,plain,
( ! [X1] :
( ~ rpoint(X1)
| ~ rpoint(vd1300)
| ~ rpoint(vd1289)
| ~ rR(X1,vd1287,vd1300)
| ~ rR(vd1289,vd1287,X1) )
| ~ spl119_33
| spl119_157 ),
inference(subsumption_resolution,[],[f43451,f2078]) ).
fof(f43451,plain,
( ! [X1] :
( ~ rpoint(vd1287)
| ~ rpoint(X1)
| ~ rpoint(vd1300)
| ~ rpoint(vd1289)
| ~ rR(X1,vd1287,vd1300)
| ~ rR(vd1289,vd1287,X1) )
| spl119_157 ),
inference(resolution,[],[f6346,f1234]) ).
fof(f6346,plain,
( ~ rR(vd1289,vd1287,vd1300)
| spl119_157 ),
inference(avatar_component_clause,[],[f6345]) ).
fof(f6345,plain,
( spl119_157
<=> rR(vd1289,vd1287,vd1300) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_157])]) ).
fof(f102124,plain,
( spl119_378
| ~ spl119_48
| ~ spl119_497 ),
inference(avatar_split_clause,[],[f102107,f77033,f2158,f53818]) ).
fof(f2158,plain,
( spl119_48
<=> ron(sK2,vd1295) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_48])]) ).
fof(f77033,plain,
( spl119_497
<=> vd1295 = vd1297 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_497])]) ).
fof(f102107,plain,
( ron(sK2,vd1297)
| ~ spl119_48
| ~ spl119_497 ),
inference(backward_demodulation,[],[f2160,f77035]) ).
fof(f77035,plain,
( vd1295 = vd1297
| ~ spl119_497 ),
inference(avatar_component_clause,[],[f77033]) ).
fof(f2160,plain,
( ron(sK2,vd1295)
| ~ spl119_48 ),
inference(avatar_component_clause,[],[f2158]) ).
fof(f101779,plain,
( ~ spl119_3
| ~ spl119_26
| ~ spl119_48
| ~ spl119_281
| ~ spl119_454 ),
inference(avatar_contradiction_clause,[],[f101767]) ).
fof(f101767,plain,
( $false
| ~ spl119_3
| ~ spl119_26
| ~ spl119_48
| ~ spl119_281
| ~ spl119_454 ),
inference(unit_resulting_resolution,[],[f1915,f2160,f2038,f30136,f65053]) ).
fof(f65053,plain,
( ! [X48] :
( ~ ron(sK2,X48)
| ~ ron(vd1287,X48)
| ~ ron(vd1303,X48)
| ~ rline(X48) )
| ~ spl119_454 ),
inference(avatar_component_clause,[],[f65052]) ).
fof(f65052,plain,
( spl119_454
<=> ! [X48] :
( ~ ron(vd1303,X48)
| ~ ron(vd1287,X48)
| ~ ron(sK2,X48)
| ~ rline(X48) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_454])]) ).
fof(f30136,plain,
( ron(vd1303,vd1295)
| ~ spl119_281 ),
inference(avatar_component_clause,[],[f30134]) ).
fof(f30134,plain,
( spl119_281
<=> ron(vd1303,vd1295) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_281])]) ).
fof(f2038,plain,
( ron(vd1287,vd1295)
| ~ spl119_26 ),
inference(avatar_component_clause,[],[f2036]) ).
fof(f2036,plain,
( spl119_26
<=> ron(vd1287,vd1295) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_26])]) ).
fof(f1915,plain,
( rline(vd1295)
| ~ spl119_3 ),
inference(avatar_component_clause,[],[f1913]) ).
fof(f1913,plain,
( spl119_3
<=> rline(vd1295) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_3])]) ).
fof(f101778,plain,
( ~ spl119_3
| ~ spl119_48
| ~ spl119_154
| ~ spl119_281
| ~ spl119_387 ),
inference(avatar_contradiction_clause,[],[f101766]) ).
fof(f101766,plain,
( $false
| ~ spl119_3
| ~ spl119_48
| ~ spl119_154
| ~ spl119_281
| ~ spl119_387 ),
inference(unit_resulting_resolution,[],[f1915,f2160,f6317,f30136,f54817]) ).
fof(f54817,plain,
( ! [X48] :
( ~ ron(sK2,X48)
| ~ ron(vd1289,X48)
| ~ ron(vd1303,X48)
| ~ rline(X48) )
| ~ spl119_387 ),
inference(avatar_component_clause,[],[f54816]) ).
fof(f54816,plain,
( spl119_387
<=> ! [X48] :
( ~ ron(sK2,X48)
| ~ ron(vd1289,X48)
| ~ ron(vd1303,X48)
| ~ rline(X48) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_387])]) ).
fof(f6317,plain,
( ron(vd1289,vd1295)
| ~ spl119_154 ),
inference(avatar_component_clause,[],[f6315]) ).
fof(f6315,plain,
( spl119_154
<=> ron(vd1289,vd1295) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_154])]) ).
fof(f101590,plain,
( ~ spl119_2
| ~ spl119_3
| spl119_14
| ~ spl119_22
| ~ spl119_25
| ~ spl119_26
| ~ spl119_30
| ~ spl119_33
| ~ spl119_154
| spl119_497 ),
inference(avatar_contradiction_clause,[],[f101564]) ).
fof(f101564,plain,
( $false
| ~ spl119_2
| ~ spl119_3
| spl119_14
| ~ spl119_22
| ~ spl119_25
| ~ spl119_26
| ~ spl119_30
| ~ spl119_33
| ~ spl119_154
| spl119_497 ),
inference(unit_resulting_resolution,[],[f1915,f2062,f77034,f2015,f2038,f1971,f6317,f10982]) ).
fof(f10982,plain,
( ! [X155,X156] :
( ~ ron(vd1287,X156)
| vd1287 = X155
| ~ rline(X156)
| ~ ron(X155,X156)
| ~ ron(X155,vd1297)
| ~ rpoint(X155)
| vd1297 = X156 )
| ~ spl119_2
| ~ spl119_25
| ~ spl119_33 ),
inference(subsumption_resolution,[],[f10981,f1910]) ).
fof(f10981,plain,
( ! [X155,X156] :
( ~ rpoint(X155)
| vd1287 = X155
| ~ rline(X156)
| ~ rline(vd1297)
| ~ ron(X155,X156)
| ~ ron(X155,vd1297)
| ~ ron(vd1287,X156)
| vd1297 = X156 )
| ~ spl119_25
| ~ spl119_33 ),
inference(subsumption_resolution,[],[f10917,f2078]) ).
fof(f10917,plain,
( ! [X155,X156] :
( ~ rpoint(X155)
| ~ rpoint(vd1287)
| vd1287 = X155
| ~ rline(X156)
| ~ rline(vd1297)
| ~ ron(X155,X156)
| ~ ron(X155,vd1297)
| ~ ron(vd1287,X156)
| vd1297 = X156 )
| ~ spl119_25 ),
inference(resolution,[],[f1204,f2032]) ).
fof(f1204,plain,
! [X6,X7,X4,X5] :
( ~ ron(X5,X7)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X4 = X5
| ~ rline(X6)
| ~ rline(X7)
| ~ ron(X4,X6)
| ~ ron(X4,X7)
| ~ ron(X5,X6)
| X6 = X7 ),
inference(equality_resolution,[],[f1203]) ).
fof(f1203,plain,
! [X3,X6,X7,X4,X5] :
( X3 = X6
| ~ rpoint(X4)
| ~ rpoint(X5)
| X4 = X5
| ~ rline(X6)
| ~ rline(X7)
| X3 != X7
| ~ ron(X4,X6)
| ~ ron(X4,X3)
| ~ ron(X5,X6)
| ~ ron(X5,X3) ),
inference(equality_resolution,[],[f1202]) ).
fof(f1202,plain,
! [X2,X3,X6,X7,X4,X5] :
( X2 = X3
| ~ rpoint(X4)
| ~ rpoint(X5)
| X4 = X5
| ~ rline(X6)
| X2 != X6
| ~ rline(X7)
| X3 != X7
| ~ ron(X4,X2)
| ~ ron(X4,X3)
| ~ ron(X5,X2)
| ~ ron(X5,X3) ),
inference(equality_resolution,[],[f1201]) ).
fof(f1201,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( X2 = X3
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| X1 = X4
| ~ rline(X6)
| X2 != X6
| ~ rline(X7)
| X3 != X7
| ~ ron(X4,X2)
| ~ ron(X4,X3)
| ~ ron(X1,X2)
| ~ ron(X1,X3) ),
inference(equality_resolution,[],[f853]) ).
fof(f853,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( X2 = X3
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| X0 = X1
| ~ rline(X6)
| X2 != X6
| ~ rline(X7)
| X3 != X7
| ~ ron(X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X2)
| ~ ron(X1,X3) ),
inference(cnf_transformation,[],[f427]) ).
fof(f427,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| X0 = X1
| ! [X6] :
( ~ rline(X6)
| X2 != X6 )
| ! [X7] :
( ~ rline(X7)
| X3 != X7 )
| ~ ron(X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X2)
| ~ ron(X1,X3) ),
inference(flattening,[],[f426]) ).
fof(f426,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| X0 = X1
| ! [X6] :
( ~ rline(X6)
| X2 != X6 )
| ! [X7] :
( ~ rline(X7)
| X3 != X7 )
| ~ ron(X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X2)
| ~ ron(X1,X3) ),
inference(ennf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( rpoint(X4)
& X0 = X4 )
& ? [X5] :
( rpoint(X5)
& X1 = X5 )
& X0 != X1
& ? [X6] :
( rline(X6)
& X2 = X6 )
& ? [X7] :
( rline(X7)
& X3 = X7 )
& ron(X0,X2)
& ron(X0,X3)
& ron(X1,X2)
& ron(X1,X3) )
=> X2 = X3 ),
inference(rectify,[],[f119]) ).
fof(f119,axiom,
! [X281,X282,X283,X284] :
( ( ? [X288] :
( rpoint(X288)
& X281 = X288 )
& ? [X287] :
( rpoint(X287)
& X282 = X287 )
& X281 != X282
& ? [X286] :
( rline(X286)
& X283 = X286 )
& ? [X285] :
( rline(X285)
& X284 = X285 )
& ron(X281,X283)
& ron(X281,X284)
& ron(X282,X283)
& ron(X282,X284) )
=> X283 = X284 ),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).
fof(f1971,plain,
( vd1289 != vd1287
| spl119_14 ),
inference(avatar_component_clause,[],[f1969]) ).
fof(f1969,plain,
( spl119_14
<=> vd1289 = vd1287 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_14])]) ).
fof(f2015,plain,
( ron(vd1289,vd1297)
| ~ spl119_22 ),
inference(avatar_component_clause,[],[f2013]) ).
fof(f2013,plain,
( spl119_22
<=> ron(vd1289,vd1297) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_22])]) ).
fof(f77034,plain,
( vd1295 != vd1297
| spl119_497 ),
inference(avatar_component_clause,[],[f77033]) ).
fof(f101577,plain,
( ~ spl119_3
| ~ spl119_20
| ~ spl119_48
| ~ spl119_154
| ~ spl119_432 ),
inference(avatar_contradiction_clause,[],[f101551]) ).
fof(f101551,plain,
( $false
| ~ spl119_3
| ~ spl119_20
| ~ spl119_48
| ~ spl119_154
| ~ spl119_432 ),
inference(unit_resulting_resolution,[],[f1915,f2003,f2160,f6317,f63938]) ).
fof(f63938,plain,
( ! [X73] :
( ~ ron(sK2,X73)
| ~ ron(vd1289,X73)
| ~ ron(vd1329,X73)
| ~ rline(X73) )
| ~ spl119_432 ),
inference(avatar_component_clause,[],[f63937]) ).
fof(f63937,plain,
( spl119_432
<=> ! [X73] :
( ~ ron(vd1289,X73)
| ~ ron(sK2,X73)
| ~ ron(vd1329,X73)
| ~ rline(X73) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_432])]) ).
fof(f2003,plain,
( ron(vd1329,vd1295)
| ~ spl119_20 ),
inference(avatar_component_clause,[],[f2001]) ).
fof(f2001,plain,
( spl119_20
<=> ron(vd1329,vd1295) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_20])]) ).
fof(f101310,plain,
( ~ spl119_2
| spl119_14
| ~ spl119_22
| ~ spl119_25
| ~ spl119_30
| ~ spl119_33
| spl119_265
| spl119_314 ),
inference(avatar_contradiction_clause,[],[f101274]) ).
fof(f101274,plain,
( $false
| ~ spl119_2
| spl119_14
| ~ spl119_22
| ~ spl119_25
| ~ spl119_30
| ~ spl119_33
| spl119_265
| spl119_314 ),
inference(unit_resulting_resolution,[],[f2078,f1910,f2015,f2032,f2015,f2062,f2062,f1971,f1971,f29456,f32760,f1687]) ).
fof(f32760,plain,
( v0 != vangle(vd1289,vd1287,vd1289)
| spl119_314 ),
inference(avatar_component_clause,[],[f32759]) ).
fof(f32759,plain,
( spl119_314
<=> v0 = vangle(vd1289,vd1287,vd1289) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_314])]) ).
fof(f29456,plain,
( ~ rR(vd1287,vd1289,vd1289)
| spl119_265 ),
inference(avatar_component_clause,[],[f29454]) ).
fof(f29454,plain,
( spl119_265
<=> rR(vd1287,vd1289,vd1289) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_265])]) ).
fof(f100815,plain,
( ~ spl119_30
| ~ spl119_33
| ~ spl119_265 ),
inference(avatar_contradiction_clause,[],[f100814]) ).
fof(f100814,plain,
( $false
| ~ spl119_30
| ~ spl119_33
| ~ spl119_265 ),
inference(subsumption_resolution,[],[f100813,f2062]) ).
fof(f100813,plain,
( ~ rpoint(vd1289)
| ~ spl119_33
| ~ spl119_265 ),
inference(subsumption_resolution,[],[f100669,f2078]) ).
fof(f100669,plain,
( ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| ~ spl119_265 ),
inference(resolution,[],[f29455,f1895]) ).
fof(f1895,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(duplicate_literal_removal,[],[f1072]) ).
fof(f1072,plain,
! [X4,X5] :
( ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X4,X5,X5) ),
inference(equality_resolution,[],[f1071]) ).
fof(f1071,plain,
! [X3,X4,X5] :
( ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X3 != X5
| ~ rR(X4,X3,X3) ),
inference(equality_resolution,[],[f1070]) ).
fof(f1070,plain,
! [X3,X1,X4,X5] :
( ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X3 != X5
| ~ rR(X1,X3,X3) ),
inference(equality_resolution,[],[f1069]) ).
fof(f1069,plain,
! [X2,X3,X1,X4,X5] :
( ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X1,X2,X2) ),
inference(equality_resolution,[],[f795]) ).
fof(f795,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 != X2
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X1,X0,X2) ),
inference(cnf_transformation,[],[f373]) ).
fof(f29455,plain,
( rR(vd1287,vd1289,vd1289)
| ~ spl119_265 ),
inference(avatar_component_clause,[],[f29454]) ).
fof(f100543,plain,
( ~ spl119_6
| ~ spl119_30
| spl119_133
| ~ spl119_430
| spl119_534 ),
inference(avatar_contradiction_clause,[],[f100542]) ).
fof(f100542,plain,
( $false
| ~ spl119_6
| ~ spl119_30
| spl119_133
| ~ spl119_430
| spl119_534 ),
inference(subsumption_resolution,[],[f100541,f1930]) ).
fof(f100541,plain,
( ~ rpoint(vd1329)
| ~ spl119_6
| ~ spl119_30
| spl119_133
| ~ spl119_430
| spl119_534 ),
inference(subsumption_resolution,[],[f100540,f3360]) ).
fof(f3360,plain,
( vd1289 != vd1329
| spl119_133 ),
inference(avatar_component_clause,[],[f3359]) ).
fof(f3359,plain,
( spl119_133
<=> vd1289 = vd1329 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_133])]) ).
fof(f100540,plain,
( vd1289 = vd1329
| ~ rpoint(vd1329)
| ~ spl119_6
| ~ spl119_30
| ~ spl119_430
| spl119_534 ),
inference(subsumption_resolution,[],[f100539,f2062]) ).
fof(f100539,plain,
( ~ rpoint(vd1289)
| vd1289 = vd1329
| ~ rpoint(vd1329)
| ~ spl119_6
| ~ spl119_430
| spl119_534 ),
inference(subsumption_resolution,[],[f100538,f59070]) ).
fof(f59070,plain,
( rline(sK7(vd1329,vd1289))
| ~ spl119_430 ),
inference(avatar_component_clause,[],[f59069]) ).
fof(f59069,plain,
( spl119_430
<=> rline(sK7(vd1329,vd1289)) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_430])]) ).
fof(f100538,plain,
( ~ rline(sK7(vd1329,vd1289))
| ~ rpoint(vd1289)
| vd1289 = vd1329
| ~ rpoint(vd1329)
| ~ spl119_6
| spl119_534 ),
inference(duplicate_literal_removal,[],[f100525]) ).
fof(f100525,plain,
( ~ rline(sK7(vd1329,vd1289))
| ~ rpoint(vd1289)
| vd1289 = vd1329
| ~ rpoint(vd1329)
| ~ rpoint(vd1289)
| vd1289 = vd1329
| ~ spl119_6
| spl119_534 ),
inference(resolution,[],[f100500,f1009]) ).
fof(f1009,plain,
! [X3,X4] :
( ron(X4,sK7(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f1008]) ).
fof(f1008,plain,
! [X3,X1,X4] :
( ron(X1,sK7(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f760]) ).
fof(f760,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK7(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f557]) ).
fof(f557,plain,
! [X0,X1] :
( ( rline(sK7(X0,X1))
& ron(X0,sK7(X0,X1))
& ron(X1,sK7(X0,X1)) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| X0 = X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f555,f556]) ).
fof(f556,plain,
! [X0,X1] :
( ? [X2] :
( rline(X2)
& ron(X0,X2)
& ron(X1,X2) )
=> ( rline(sK7(X0,X1))
& ron(X0,sK7(X0,X1))
& ron(X1,sK7(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f555,plain,
! [X0,X1] :
( ? [X2] :
( rline(X2)
& ron(X0,X2)
& ron(X1,X2) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| X0 = X1 ),
inference(rectify,[],[f341]) ).
fof(f341,plain,
! [X0,X1] :
( ? [X4] :
( rline(X4)
& ron(X0,X4)
& ron(X1,X4) )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 )
| X0 = X1 ),
inference(flattening,[],[f340]) ).
fof(f340,plain,
! [X0,X1] :
( ? [X4] :
( rline(X4)
& ron(X0,X4)
& ron(X1,X4) )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 )
| X0 = X1 ),
inference(ennf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 )
& X0 != X1 )
=> ? [X4] :
( rline(X4)
& ron(X0,X4)
& ron(X1,X4) ) ),
inference(rectify,[],[f92]) ).
fof(f92,axiom,
! [X121,X122] :
( ( ? [X124] :
( rpoint(X124)
& X121 = X124 )
& ? [X123] :
( rpoint(X123)
& X122 = X123 )
& X121 != X122 )
=> ? [X125] :
( rline(X125)
& ron(X121,X125)
& ron(X122,X125) ) ),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).
fof(f100500,plain,
( ! [X12] :
( ~ ron(vd1289,sK7(vd1329,X12))
| ~ rline(sK7(vd1329,X12))
| ~ rpoint(X12)
| vd1329 = X12 )
| ~ spl119_6
| spl119_534 ),
inference(subsumption_resolution,[],[f100490,f1930]) ).
fof(f100490,plain,
( ! [X12] :
( ~ ron(vd1289,sK7(vd1329,X12))
| ~ rline(sK7(vd1329,X12))
| ~ rpoint(vd1329)
| ~ rpoint(X12)
| vd1329 = X12 )
| spl119_534 ),
inference(resolution,[],[f99768,f1007]) ).
fof(f1007,plain,
! [X3,X4] :
( ron(X3,sK7(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f1006]) ).
fof(f1006,plain,
! [X3,X1,X4] :
( ron(X3,sK7(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f761]) ).
fof(f761,plain,
! [X3,X0,X1,X4] :
( ron(X0,sK7(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f557]) ).
fof(f99768,plain,
( ! [X0] :
( ~ ron(vd1329,X0)
| ~ ron(vd1289,X0)
| ~ rline(X0) )
| spl119_534 ),
inference(resolution,[],[f99758,f1854]) ).
fof(f1854,plain,
! [X11,X9,X13] :
( sP98(X11,X9)
| ~ ron(X9,X13)
| ~ ron(X11,X13)
| ~ rline(X13) ),
inference(cnf_transformation,[],[f1854_D]) ).
fof(f1854_D,plain,
! [X9,X11] :
( ! [X13] :
( ~ ron(X9,X13)
| ~ ron(X11,X13)
| ~ rline(X13) )
<=> ~ sP98(X11,X9) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP98])]) ).
fof(f99758,plain,
( ~ sP98(vd1329,vd1289)
| spl119_534 ),
inference(avatar_component_clause,[],[f99756]) ).
fof(f99756,plain,
( spl119_534
<=> sP98(vd1329,vd1289) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_534])]) ).
fof(f99767,plain,
( ~ spl119_2
| ~ spl119_22
| ~ spl119_25
| spl119_533 ),
inference(avatar_contradiction_clause,[],[f99760]) ).
fof(f99760,plain,
( $false
| ~ spl119_2
| ~ spl119_22
| ~ spl119_25
| spl119_533 ),
inference(unit_resulting_resolution,[],[f1910,f2015,f2015,f2032,f99754,f1856]) ).
fof(f1856,plain,
! [X10,X8,X7,X12] :
( sP99(X10,X8,X7)
| ~ ron(X7,X12)
| ~ ron(X8,X12)
| ~ ron(X10,X12)
| ~ rline(X12) ),
inference(cnf_transformation,[],[f1856_D]) ).
fof(f1856_D,plain,
! [X7,X8,X10] :
( ! [X12] :
( ~ ron(X7,X12)
| ~ ron(X8,X12)
| ~ ron(X10,X12)
| ~ rline(X12) )
<=> ~ sP99(X10,X8,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP99])]) ).
fof(f99754,plain,
( ~ sP99(vd1289,vd1289,vd1287)
| spl119_533 ),
inference(avatar_component_clause,[],[f99752]) ).
fof(f99752,plain,
( spl119_533
<=> sP99(vd1289,vd1289,vd1287) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_533])]) ).
fof(f99759,plain,
( ~ spl119_533
| ~ spl119_534
| ~ spl119_6
| spl119_12
| spl119_14
| ~ spl119_30
| ~ spl119_33
| ~ spl119_73
| spl119_220
| spl119_221
| spl119_265
| ~ spl119_314 ),
inference(avatar_split_clause,[],[f99616,f32759,f29454,f11016,f11012,f2412,f2076,f2060,f1969,f1958,f1928,f99756,f99752]) ).
fof(f1958,plain,
( spl119_12
<=> vd1329 = vd1287 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_12])]) ).
fof(f2412,plain,
( spl119_73
<=> vangle(vd1289,vd1287,vd1329) = vangle(vd1303,vd1287,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_73])]) ).
fof(f11012,plain,
( spl119_220
<=> rR(vd1287,vd1289,vd1329) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_220])]) ).
fof(f11016,plain,
( spl119_221
<=> v0 = vangle(vd1303,vd1287,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_221])]) ).
fof(f99616,plain,
( ~ sP98(vd1329,vd1289)
| ~ sP99(vd1289,vd1289,vd1287)
| ~ spl119_6
| spl119_12
| spl119_14
| ~ spl119_30
| ~ spl119_33
| ~ spl119_73
| spl119_220
| spl119_221
| spl119_265
| ~ spl119_314 ),
inference(subsumption_resolution,[],[f99615,f11014]) ).
fof(f11014,plain,
( ~ rR(vd1287,vd1289,vd1329)
| spl119_220 ),
inference(avatar_component_clause,[],[f11012]) ).
fof(f99615,plain,
( rR(vd1287,vd1289,vd1329)
| ~ sP98(vd1329,vd1289)
| ~ sP99(vd1289,vd1289,vd1287)
| ~ spl119_6
| spl119_12
| spl119_14
| ~ spl119_30
| ~ spl119_33
| ~ spl119_73
| spl119_221
| spl119_265
| ~ spl119_314 ),
inference(subsumption_resolution,[],[f99614,f29456]) ).
fof(f99614,plain,
( rR(vd1287,vd1289,vd1289)
| rR(vd1287,vd1289,vd1329)
| ~ sP98(vd1329,vd1289)
| ~ sP99(vd1289,vd1289,vd1287)
| ~ spl119_6
| spl119_12
| spl119_14
| ~ spl119_30
| ~ spl119_33
| ~ spl119_73
| spl119_221
| ~ spl119_314 ),
inference(subsumption_resolution,[],[f99613,f1960]) ).
fof(f1960,plain,
( vd1329 != vd1287
| spl119_12 ),
inference(avatar_component_clause,[],[f1958]) ).
fof(f99613,plain,
( vd1329 = vd1287
| rR(vd1287,vd1289,vd1289)
| rR(vd1287,vd1289,vd1329)
| ~ sP98(vd1329,vd1289)
| ~ sP99(vd1289,vd1289,vd1287)
| ~ spl119_6
| spl119_14
| ~ spl119_30
| ~ spl119_33
| ~ spl119_73
| spl119_221
| ~ spl119_314 ),
inference(subsumption_resolution,[],[f99612,f1971]) ).
fof(f99612,plain,
( vd1289 = vd1287
| vd1329 = vd1287
| rR(vd1287,vd1289,vd1289)
| rR(vd1287,vd1289,vd1329)
| ~ sP98(vd1329,vd1289)
| ~ sP99(vd1289,vd1289,vd1287)
| ~ spl119_6
| spl119_14
| ~ spl119_30
| ~ spl119_33
| ~ spl119_73
| spl119_221
| ~ spl119_314 ),
inference(subsumption_resolution,[],[f99611,f1930]) ).
fof(f99611,plain,
( ~ rpoint(vd1329)
| vd1289 = vd1287
| vd1329 = vd1287
| rR(vd1287,vd1289,vd1289)
| rR(vd1287,vd1289,vd1329)
| ~ sP98(vd1329,vd1289)
| ~ sP99(vd1289,vd1289,vd1287)
| spl119_14
| ~ spl119_30
| ~ spl119_33
| ~ spl119_73
| spl119_221
| ~ spl119_314 ),
inference(subsumption_resolution,[],[f99610,f2062]) ).
fof(f99610,plain,
( ~ rpoint(vd1289)
| ~ rpoint(vd1329)
| vd1289 = vd1287
| vd1329 = vd1287
| rR(vd1287,vd1289,vd1289)
| rR(vd1287,vd1289,vd1329)
| ~ sP98(vd1329,vd1289)
| ~ sP99(vd1289,vd1289,vd1287)
| spl119_14
| ~ spl119_30
| ~ spl119_33
| ~ spl119_73
| spl119_221
| ~ spl119_314 ),
inference(subsumption_resolution,[],[f99392,f11018]) ).
fof(f11018,plain,
( v0 != vangle(vd1303,vd1287,sK2)
| spl119_221 ),
inference(avatar_component_clause,[],[f11016]) ).
fof(f99392,plain,
( v0 = vangle(vd1303,vd1287,sK2)
| ~ rpoint(vd1289)
| ~ rpoint(vd1329)
| vd1289 = vd1287
| vd1329 = vd1287
| rR(vd1287,vd1289,vd1289)
| rR(vd1287,vd1289,vd1329)
| ~ sP98(vd1329,vd1289)
| ~ sP99(vd1289,vd1289,vd1287)
| spl119_14
| ~ spl119_30
| ~ spl119_33
| ~ spl119_73
| ~ spl119_314 ),
inference(superposition,[],[f32890,f2414]) ).
fof(f2414,plain,
( vangle(vd1289,vd1287,vd1329) = vangle(vd1303,vd1287,sK2)
| ~ spl119_73 ),
inference(avatar_component_clause,[],[f2412]) ).
fof(f32890,plain,
( ! [X48,X49] :
( v0 = vangle(X48,vd1287,X49)
| ~ rpoint(X48)
| ~ rpoint(X49)
| vd1287 = X48
| vd1287 = X49
| rR(vd1287,vd1289,X48)
| rR(vd1287,vd1289,X49)
| ~ sP98(X49,vd1289)
| ~ sP99(X48,vd1289,vd1287) )
| spl119_14
| ~ spl119_30
| ~ spl119_33
| ~ spl119_314 ),
inference(subsumption_resolution,[],[f32889,f1971]) ).
fof(f32889,plain,
( ! [X48,X49] :
( v0 = vangle(X48,vd1287,X49)
| ~ rpoint(X48)
| ~ rpoint(X49)
| vd1289 = vd1287
| vd1287 = X48
| vd1287 = X49
| rR(vd1287,vd1289,X48)
| rR(vd1287,vd1289,X49)
| ~ sP98(X49,vd1289)
| ~ sP99(X48,vd1289,vd1287) )
| ~ spl119_30
| ~ spl119_33
| ~ spl119_314 ),
inference(subsumption_resolution,[],[f32888,f2062]) ).
fof(f32888,plain,
( ! [X48,X49] :
( v0 = vangle(X48,vd1287,X49)
| ~ rpoint(vd1289)
| ~ rpoint(X48)
| ~ rpoint(X49)
| vd1289 = vd1287
| vd1287 = X48
| vd1287 = X49
| rR(vd1287,vd1289,X48)
| rR(vd1287,vd1289,X49)
| ~ sP98(X49,vd1289)
| ~ sP99(X48,vd1289,vd1287) )
| ~ spl119_33
| ~ spl119_314 ),
inference(subsumption_resolution,[],[f32855,f2078]) ).
fof(f32855,plain,
( ! [X48,X49] :
( v0 = vangle(X48,vd1287,X49)
| ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| ~ rpoint(X48)
| ~ rpoint(X49)
| vd1289 = vd1287
| vd1287 = X48
| vd1287 = X49
| rR(vd1287,vd1289,X48)
| rR(vd1287,vd1289,X49)
| ~ sP98(X49,vd1289)
| ~ sP99(X48,vd1289,vd1287) )
| ~ spl119_314 ),
inference(duplicate_literal_removal,[],[f32779]) ).
fof(f32779,plain,
( ! [X48,X49] :
( v0 = vangle(X48,vd1287,X49)
| ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| ~ rpoint(vd1289)
| ~ rpoint(X48)
| ~ rpoint(X49)
| vd1289 = vd1287
| vd1289 = vd1287
| vd1287 = X48
| vd1287 = X49
| rR(vd1287,vd1289,X48)
| rR(vd1287,vd1289,X49)
| ~ sP98(X49,vd1289)
| ~ sP99(X48,vd1289,vd1287) )
| ~ spl119_314 ),
inference(superposition,[],[f32761,f1857]) ).
fof(f1857,plain,
! [X10,X11,X8,X9,X7] :
( vangle(X8,X7,X9) = vangle(X10,X7,X11)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X7 = X8
| X7 = X9
| X7 = X10
| X7 = X11
| rR(X7,X8,X10)
| rR(X7,X9,X11)
| ~ sP98(X11,X9)
| ~ sP99(X10,X8,X7) ),
inference(general_splitting,[],[f1855,f1856_D]) ).
fof(f1855,plain,
! [X10,X11,X8,X9,X7,X12] :
( vangle(X8,X7,X9) = vangle(X10,X7,X11)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rline(X12)
| ~ ron(X7,X12)
| ~ ron(X8,X12)
| ~ ron(X10,X12)
| X7 = X8
| X7 = X9
| X7 = X10
| X7 = X11
| rR(X7,X8,X10)
| rR(X7,X9,X11)
| ~ sP98(X11,X9) ),
inference(general_splitting,[],[f1596,f1854_D]) ).
fof(f1596,plain,
! [X10,X11,X8,X9,X7,X12,X13] :
( vangle(X8,X7,X9) = vangle(X10,X7,X11)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rline(X12)
| ~ rline(X13)
| ~ ron(X7,X12)
| ~ ron(X8,X12)
| ~ ron(X10,X12)
| ~ ron(X9,X13)
| ~ ron(X11,X13)
| X7 = X8
| X7 = X9
| X7 = X10
| X7 = X11
| rR(X7,X8,X10)
| rR(X7,X9,X11) ),
inference(equality_resolution,[],[f1595]) ).
fof(f1595,plain,
! [X10,X11,X8,X6,X9,X7,X12,X13] :
( vangle(X8,X7,X9) = vangle(X10,X7,X11)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rline(X12)
| ~ rline(X13)
| X6 != X13
| ~ ron(X7,X12)
| ~ ron(X8,X12)
| ~ ron(X10,X12)
| ~ ron(X9,X6)
| ~ ron(X11,X6)
| X7 = X8
| X7 = X9
| X7 = X10
| X7 = X11
| rR(X7,X8,X10)
| rR(X7,X9,X11) ),
inference(equality_resolution,[],[f1594]) ).
fof(f1594,plain,
! [X10,X11,X8,X6,X9,X7,X5,X12,X13] :
( vangle(X8,X7,X9) = vangle(X10,X7,X11)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rline(X12)
| X5 != X12
| ~ rline(X13)
| X6 != X13
| ~ ron(X7,X5)
| ~ ron(X8,X5)
| ~ ron(X10,X5)
| ~ ron(X9,X6)
| ~ ron(X11,X6)
| X7 = X8
| X7 = X9
| X7 = X10
| X7 = X11
| rR(X7,X8,X10)
| rR(X7,X9,X11) ),
inference(equality_resolution,[],[f1593]) ).
fof(f1593,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5,X12,X13] :
( vangle(X8,X7,X9) = vangle(X10,X7,X4)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X4 != X11
| ~ rline(X12)
| X5 != X12
| ~ rline(X13)
| X6 != X13
| ~ ron(X7,X5)
| ~ ron(X8,X5)
| ~ ron(X10,X5)
| ~ ron(X9,X6)
| ~ ron(X4,X6)
| X7 = X8
| X7 = X9
| X7 = X10
| X4 = X7
| rR(X7,X8,X10)
| rR(X7,X9,X4) ),
inference(equality_resolution,[],[f1592]) ).
fof(f1592,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5,X12,X13] :
( vangle(X3,X7,X4) = vangle(X8,X7,X9)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X11)
| X4 != X11
| ~ rline(X12)
| X5 != X12
| ~ rline(X13)
| X6 != X13
| ~ ron(X7,X5)
| ~ ron(X8,X5)
| ~ ron(X3,X5)
| ~ ron(X9,X6)
| ~ ron(X4,X6)
| X7 = X8
| X7 = X9
| X3 = X7
| X4 = X7
| rR(X7,X8,X3)
| rR(X7,X9,X4) ),
inference(equality_resolution,[],[f1591]) ).
fof(f1591,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5,X12,X13] :
( vangle(X3,X7,X4) = vangle(X8,X7,X2)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X2 != X9
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X11)
| X4 != X11
| ~ rline(X12)
| X5 != X12
| ~ rline(X13)
| X6 != X13
| ~ ron(X7,X5)
| ~ ron(X8,X5)
| ~ ron(X3,X5)
| ~ ron(X2,X6)
| ~ ron(X4,X6)
| X7 = X8
| X2 = X7
| X3 = X7
| X4 = X7
| rR(X7,X8,X3)
| rR(X7,X2,X4) ),
inference(equality_resolution,[],[f1590]) ).
fof(f1590,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( vangle(X1,X7,X2) = vangle(X3,X7,X4)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X9)
| X2 != X9
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X11)
| X4 != X11
| ~ rline(X12)
| X5 != X12
| ~ rline(X13)
| X6 != X13
| ~ ron(X7,X5)
| ~ ron(X1,X5)
| ~ ron(X3,X5)
| ~ ron(X2,X6)
| ~ ron(X4,X6)
| X1 = X7
| X2 = X7
| X3 = X7
| X4 = X7
| rR(X7,X1,X3)
| rR(X7,X2,X4) ),
inference(equality_resolution,[],[f947]) ).
fof(f947,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X9)
| X2 != X9
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X11)
| X4 != X11
| ~ rline(X12)
| X5 != X12
| ~ rline(X13)
| X6 != X13
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X3,X5)
| ~ ron(X2,X6)
| ~ ron(X4,X6)
| X0 = X1
| X0 = X2
| X0 = X3
| X0 = X4
| rR(X0,X1,X3)
| rR(X0,X2,X4) ),
inference(cnf_transformation,[],[f515]) ).
fof(f515,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| ! [X7] :
( ~ rpoint(X7)
| X0 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X1 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X2 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X3 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X4 != X11 )
| ! [X12] :
( ~ rline(X12)
| X5 != X12 )
| ! [X13] :
( ~ rline(X13)
| X6 != X13 )
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X3,X5)
| ~ ron(X2,X6)
| ~ ron(X4,X6)
| X0 = X1
| X0 = X2
| X0 = X3
| X0 = X4
| rR(X0,X1,X3)
| rR(X0,X2,X4) ),
inference(flattening,[],[f514]) ).
fof(f514,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| ! [X7] :
( ~ rpoint(X7)
| X0 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X1 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X2 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X3 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X4 != X11 )
| ! [X12] :
( ~ rline(X12)
| X5 != X12 )
| ! [X13] :
( ~ rline(X13)
| X6 != X13 )
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X3,X5)
| ~ ron(X2,X6)
| ~ ron(X4,X6)
| X0 = X1
| X0 = X2
| X0 = X3
| X0 = X4
| rR(X0,X1,X3)
| rR(X0,X2,X4) ),
inference(ennf_transformation,[],[f283]) ).
fof(f283,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ? [X7] :
( rpoint(X7)
& X0 = X7 )
& ? [X8] :
( rpoint(X8)
& X1 = X8 )
& ? [X9] :
( rpoint(X9)
& X2 = X9 )
& ? [X10] :
( rpoint(X10)
& X3 = X10 )
& ? [X11] :
( rpoint(X11)
& X4 = X11 )
& ? [X12] :
( rline(X12)
& X5 = X12 )
& ? [X13] :
( rline(X13)
& X6 = X13 )
& ron(X0,X5)
& ron(X1,X5)
& ron(X3,X5)
& ron(X2,X6)
& ron(X4,X6)
& X0 != X1
& X0 != X2
& X0 != X3
& X0 != X4
& ~ rR(X0,X1,X3)
& ~ rR(X0,X2,X4) )
=> vangle(X1,X0,X2) = vangle(X3,X0,X4) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ? [X13] :
( rpoint(X13)
& X0 = X13 )
& ? [X12] :
( rpoint(X12)
& X1 = X12 )
& ? [X11] :
( rpoint(X11)
& X2 = X11 )
& ? [X10] :
( rpoint(X10)
& X3 = X10 )
& ? [X9] :
( rpoint(X9)
& X4 = X9 )
& ? [X8] :
( rline(X8)
& X5 = X8 )
& ? [X7] :
( rline(X7)
& X6 = X7 )
& ron(X0,X5)
& ron(X1,X5)
& ron(X3,X5)
& ron(X2,X6)
& ron(X4,X6)
& X0 != X1
& X0 != X2
& X0 != X3
& X0 != X4
& ~ rR(X0,X1,X3)
& ~ rR(X0,X2,X4) )
=> vangle(X1,X0,X2) = vangle(X3,X0,X4) ),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))') ).
fof(f32761,plain,
( v0 = vangle(vd1289,vd1287,vd1289)
| ~ spl119_314 ),
inference(avatar_component_clause,[],[f32759]) ).
fof(f91481,plain,
( ~ spl119_520
| ~ spl119_6
| ~ spl119_7
| ~ spl119_9
| ~ spl119_33
| spl119_453
| ~ spl119_510 ),
inference(avatar_split_clause,[],[f91422,f87566,f65048,f2076,f1943,f1933,f1928,f91478]) ).
fof(f87566,plain,
( spl119_510
<=> rR(sK2,vd1287,vd1329) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_510])]) ).
fof(f91422,plain,
( ~ rR(vd1329,vd1287,vd1303)
| ~ spl119_6
| ~ spl119_7
| ~ spl119_9
| ~ spl119_33
| spl119_453
| ~ spl119_510 ),
inference(subsumption_resolution,[],[f91391,f1930]) ).
fof(f91391,plain,
( ~ rR(vd1329,vd1287,vd1303)
| ~ rpoint(vd1329)
| ~ spl119_7
| ~ spl119_9
| ~ spl119_33
| spl119_453
| ~ spl119_510 ),
inference(resolution,[],[f87567,f65110]) ).
fof(f65110,plain,
( ! [X1] :
( ~ rR(sK2,vd1287,X1)
| ~ rR(X1,vd1287,vd1303)
| ~ rpoint(X1) )
| ~ spl119_7
| ~ spl119_9
| ~ spl119_33
| spl119_453 ),
inference(subsumption_resolution,[],[f65109,f1945]) ).
fof(f65109,plain,
( ! [X1] :
( ~ rpoint(X1)
| ~ rpoint(sK2)
| ~ rR(X1,vd1287,vd1303)
| ~ rR(sK2,vd1287,X1) )
| ~ spl119_7
| ~ spl119_33
| spl119_453 ),
inference(subsumption_resolution,[],[f65108,f1935]) ).
fof(f65108,plain,
( ! [X1] :
( ~ rpoint(X1)
| ~ rpoint(vd1303)
| ~ rpoint(sK2)
| ~ rR(X1,vd1287,vd1303)
| ~ rR(sK2,vd1287,X1) )
| ~ spl119_33
| spl119_453 ),
inference(subsumption_resolution,[],[f65098,f2078]) ).
fof(f65098,plain,
( ! [X1] :
( ~ rpoint(vd1287)
| ~ rpoint(X1)
| ~ rpoint(vd1303)
| ~ rpoint(sK2)
| ~ rR(X1,vd1287,vd1303)
| ~ rR(sK2,vd1287,X1) )
| spl119_453 ),
inference(resolution,[],[f65049,f1234]) ).
fof(f65049,plain,
( ~ rR(sK2,vd1287,vd1303)
| spl119_453 ),
inference(avatar_component_clause,[],[f65048]) ).
fof(f87567,plain,
( rR(sK2,vd1287,vd1329)
| ~ spl119_510 ),
inference(avatar_component_clause,[],[f87566]) ).
fof(f91285,plain,
( ~ spl119_7
| spl119_14
| ~ spl119_30
| ~ spl119_33
| ~ spl119_36
| ~ spl119_53
| ~ spl119_108
| ~ spl119_116
| ~ spl119_123
| ~ spl119_396 ),
inference(avatar_contradiction_clause,[],[f91284]) ).
fof(f91284,plain,
( $false
| ~ spl119_7
| spl119_14
| ~ spl119_30
| ~ spl119_33
| ~ spl119_36
| ~ spl119_53
| ~ spl119_108
| ~ spl119_116
| ~ spl119_123
| ~ spl119_396 ),
inference(subsumption_resolution,[],[f91283,f2078]) ).
fof(f91283,plain,
( ~ rpoint(vd1287)
| ~ spl119_7
| spl119_14
| ~ spl119_30
| ~ spl119_33
| ~ spl119_36
| ~ spl119_53
| ~ spl119_108
| ~ spl119_116
| ~ spl119_123
| ~ spl119_396 ),
inference(subsumption_resolution,[],[f91282,f1971]) ).
fof(f91282,plain,
( vd1289 = vd1287
| ~ rpoint(vd1287)
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_36
| ~ spl119_53
| ~ spl119_108
| ~ spl119_116
| ~ spl119_123
| ~ spl119_396 ),
inference(subsumption_resolution,[],[f91280,f2062]) ).
fof(f91280,plain,
( ~ rpoint(vd1289)
| vd1289 = vd1287
| ~ rpoint(vd1287)
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_36
| ~ spl119_53
| ~ spl119_108
| ~ spl119_116
| ~ spl119_123
| ~ spl119_396 ),
inference(duplicate_literal_removal,[],[f91270]) ).
fof(f91270,plain,
( ~ rpoint(vd1289)
| vd1289 = vd1287
| ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| vd1289 = vd1287
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_36
| ~ spl119_53
| ~ spl119_108
| ~ spl119_116
| ~ spl119_123
| ~ spl119_396 ),
inference(resolution,[],[f91268,f1003]) ).
fof(f1003,plain,
! [X3,X4] :
( ron(X4,sK6(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f1002]) ).
fof(f1002,plain,
! [X3,X1,X4] :
( ron(X1,sK6(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f757]) ).
fof(f757,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK6(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f554]) ).
fof(f554,plain,
! [X0,X1] :
( ( rcircle(sK6(X0,X1))
& rcenter(X0,sK6(X0,X1))
& ron(X1,sK6(X0,X1)) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| X0 = X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f552,f553]) ).
fof(f553,plain,
! [X0,X1] :
( ? [X2] :
( rcircle(X2)
& rcenter(X0,X2)
& ron(X1,X2) )
=> ( rcircle(sK6(X0,X1))
& rcenter(X0,sK6(X0,X1))
& ron(X1,sK6(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f552,plain,
! [X0,X1] :
( ? [X2] :
( rcircle(X2)
& rcenter(X0,X2)
& ron(X1,X2) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| X0 = X1 ),
inference(rectify,[],[f339]) ).
fof(f339,plain,
! [X0,X1] :
( ? [X4] :
( rcircle(X4)
& rcenter(X0,X4)
& ron(X1,X4) )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 )
| X0 = X1 ),
inference(flattening,[],[f338]) ).
fof(f338,plain,
! [X0,X1] :
( ? [X4] :
( rcircle(X4)
& rcenter(X0,X4)
& ron(X1,X4) )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 )
| X0 = X1 ),
inference(ennf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 )
& X0 != X1 )
=> ? [X4] :
( rcircle(X4)
& rcenter(X0,X4)
& ron(X1,X4) ) ),
inference(rectify,[],[f107]) ).
fof(f107,axiom,
! [X199,X200] :
( ( ? [X202] :
( rpoint(X202)
& X199 = X202 )
& ? [X201] :
( rpoint(X201)
& X200 = X201 )
& X199 != X200 )
=> ? [X203] :
( rcircle(X203)
& rcenter(X199,X203)
& ron(X200,X203) ) ),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))') ).
fof(f91268,plain,
( ! [X0] :
( ~ ron(vd1289,sK6(vd1287,X0))
| ~ rpoint(X0)
| vd1287 = X0 )
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_36
| ~ spl119_53
| ~ spl119_108
| ~ spl119_116
| ~ spl119_123
| ~ spl119_396 ),
inference(subsumption_resolution,[],[f91263,f2078]) ).
fof(f91263,plain,
( ! [X0] :
( ~ ron(vd1289,sK6(vd1287,X0))
| ~ rpoint(vd1287)
| ~ rpoint(X0)
| vd1287 = X0 )
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_36
| ~ spl119_53
| ~ spl119_108
| ~ spl119_116
| ~ spl119_123
| ~ spl119_396 ),
inference(resolution,[],[f91262,f1001]) ).
fof(f1001,plain,
! [X3,X4] :
( rcenter(X3,sK6(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f1000]) ).
fof(f1000,plain,
! [X3,X1,X4] :
( rcenter(X3,sK6(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f758]) ).
fof(f758,plain,
! [X3,X0,X1,X4] :
( rcenter(X0,sK6(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f554]) ).
fof(f91262,plain,
( ! [X2] :
( ~ rcenter(vd1287,X2)
| ~ ron(vd1289,X2) )
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_36
| ~ spl119_53
| ~ spl119_108
| ~ spl119_116
| ~ spl119_123
| ~ spl119_396 ),
inference(subsumption_resolution,[],[f89761,f57426]) ).
fof(f57426,plain,
( rless(sK16(vd1303,vd1287),sK16(vd1287,sK2))
| ~ spl119_396 ),
inference(avatar_component_clause,[],[f57425]) ).
fof(f57425,plain,
( spl119_396
<=> rless(sK16(vd1303,vd1287),sK16(vd1287,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_396])]) ).
fof(f89761,plain,
( ! [X2] :
( ~ rless(sK16(vd1303,vd1287),sK16(vd1287,sK2))
| ~ rcenter(vd1287,X2)
| ~ ron(vd1289,X2) )
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_36
| ~ spl119_53
| ~ spl119_108
| ~ spl119_116
| ~ spl119_123 ),
inference(subsumption_resolution,[],[f89760,f9560]) ).
fof(f9560,plain,
( ! [X0] :
( ~ rinside(vd1303,X0)
| ~ ron(vd1289,X0)
| ~ rcenter(vd1287,X0) )
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_36
| ~ spl119_53
| ~ spl119_108
| ~ spl119_116 ),
inference(subsumption_resolution,[],[f9559,f2512]) ).
fof(f2512,plain,
! [X0,X1] :
( ~ rcenter(X0,X1)
| rcircle(X1) ),
inference(duplicate_literal_removal,[],[f2511]) ).
fof(f2511,plain,
! [X0,X1] :
( rcircle(X1)
| ~ rcenter(X0,X1)
| ~ rcenter(X0,X1) ),
inference(superposition,[],[f752,f751]) ).
fof(f751,plain,
! [X0,X1] :
( sK5(X0,X1) = X1
| ~ rcenter(X0,X1) ),
inference(cnf_transformation,[],[f549]) ).
fof(f549,plain,
! [X0,X1] :
( ( rpoint(sK4(X0,X1))
& sK4(X0,X1) = X0
& rcircle(sK5(X0,X1))
& sK5(X0,X1) = X1 )
| ~ rcenter(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f333,f548]) ).
fof(f548,plain,
! [X0,X1] :
( ? [X2,X3] :
( rpoint(X2)
& X0 = X2
& rcircle(X3)
& X1 = X3 )
=> ( rpoint(sK4(X0,X1))
& sK4(X0,X1) = X0
& rcircle(sK5(X0,X1))
& sK5(X0,X1) = X1 ) ),
introduced(choice_axiom,[]) ).
fof(f333,plain,
! [X0,X1] :
( ? [X2,X3] :
( rpoint(X2)
& X0 = X2
& rcircle(X3)
& X1 = X3 )
| ~ rcenter(X0,X1) ),
inference(ennf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0,X1] :
( rcenter(X0,X1)
=> ? [X2,X3] :
( rpoint(X2)
& X0 = X2
& rcircle(X3)
& X1 = X3 ) ),
inference(rectify,[],[f173]) ).
fof(f173,axiom,
! [X670,X671] :
( rcenter(X670,X671)
=> ? [X672,X673] :
( rpoint(X672)
& X670 = X672
& rcircle(X673)
& X671 = X673 ) ),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','qu(cond(axiom(1), 0), imp(cond(axiom(1), 0)))') ).
fof(f752,plain,
! [X0,X1] :
( rcircle(sK5(X0,X1))
| ~ rcenter(X0,X1) ),
inference(cnf_transformation,[],[f549]) ).
fof(f9559,plain,
( ! [X0] :
( ~ rinside(vd1303,X0)
| ~ rcircle(X0)
| ~ ron(vd1289,X0)
| ~ rcenter(vd1287,X0) )
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_36
| ~ spl119_53
| ~ spl119_108
| ~ spl119_116 ),
inference(subsumption_resolution,[],[f9554,f750]) ).
fof(f750,plain,
! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ),
inference(cnf_transformation,[],[f332]) ).
fof(f332,plain,
! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ),
inference(ennf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0,X1] :
( rcenter(X0,X1)
=> rinside(X0,X1) ),
inference(rectify,[],[f118]) ).
fof(f118,axiom,
! [X279,X280] :
( rcenter(X279,X280)
=> rinside(X279,X280) ),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).
fof(f9554,plain,
( ! [X0] :
( ~ rinside(vd1287,X0)
| ~ rinside(vd1303,X0)
| ~ rcircle(X0)
| ~ ron(vd1289,X0)
| ~ rcenter(vd1287,X0) )
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_36
| ~ spl119_53
| ~ spl119_108
| ~ spl119_116 ),
inference(resolution,[],[f9534,f8763]) ).
fof(f8763,plain,
( ! [X29] :
( ~ rinside(vd1289,X29)
| ~ ron(vd1289,X29)
| ~ rcenter(vd1287,X29) )
| ~ spl119_30
| ~ spl119_108
| ~ spl119_116 ),
inference(subsumption_resolution,[],[f8762,f2062]) ).
fof(f8762,plain,
( ! [X29] :
( ~ rpoint(vd1289)
| ~ rcenter(vd1287,X29)
| ~ ron(vd1289,X29)
| ~ rinside(vd1289,X29) )
| ~ spl119_108
| ~ spl119_116 ),
inference(subsumption_resolution,[],[f8738,f3064]) ).
fof(f3064,plain,
( rreal(sK16(vd1287,sK2))
| ~ spl119_116 ),
inference(avatar_component_clause,[],[f3062]) ).
fof(f3062,plain,
( spl119_116
<=> rreal(sK16(vd1287,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_116])]) ).
fof(f8738,plain,
( ! [X29] :
( ~ rreal(sK16(vd1287,sK2))
| ~ rpoint(vd1289)
| ~ rcenter(vd1287,X29)
| ~ ron(vd1289,X29)
| ~ rinside(vd1289,X29) )
| ~ spl119_108 ),
inference(superposition,[],[f6195,f2971]) ).
fof(f2971,plain,
( vf(vd1287,vd1289) = sK16(vd1287,sK2)
| ~ spl119_108 ),
inference(avatar_component_clause,[],[f2969]) ).
fof(f2969,plain,
( spl119_108
<=> vf(vd1287,vd1289) = sK16(vd1287,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_108])]) ).
fof(f6195,plain,
! [X10,X11,X12] :
( ~ rreal(vf(X12,X10))
| ~ rpoint(X10)
| ~ rcenter(X12,X11)
| ~ ron(X10,X11)
| ~ rinside(X10,X11) ),
inference(duplicate_literal_removal,[],[f6153]) ).
fof(f6153,plain,
! [X10,X11,X12] :
( ~ rinside(X10,X11)
| ~ rpoint(X10)
| ~ rpoint(X10)
| ~ rcenter(X12,X11)
| ~ ron(X10,X11)
| ~ rreal(vf(X12,X10)) ),
inference(resolution,[],[f1196,f1017]) ).
fof(f1017,plain,
! [X1] :
( ~ rless(X1,X1)
| ~ rreal(X1) ),
inference(equality_resolution,[],[f770]) ).
fof(f770,plain,
! [X0,X1] :
( ~ rless(X0,X0)
| ~ rreal(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f349]) ).
fof(f349,plain,
! [X0,X1] :
( ~ rless(X0,X0)
| ~ rreal(X1)
| X0 != X1 ),
inference(flattening,[],[f348]) ).
fof(f348,plain,
! [X0,X1] :
( ~ rless(X0,X0)
| ~ rreal(X1)
| X0 != X1 ),
inference(ennf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0,X1] :
( ( rreal(X1)
& X0 = X1 )
=> ~ rless(X0,X0) ),
inference(rectify,[],[f89]) ).
fof(f89,axiom,
! [X105,X106] :
( ( rreal(X106)
& X105 = X106 )
=> ~ rless(X105,X105) ),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))') ).
fof(f1196,plain,
! [X2,X3,X4,X5] :
( rless(vf(X2,X4),vf(X2,X5))
| ~ rinside(X4,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| ~ ron(X5,X3) ),
inference(equality_resolution,[],[f1195]) ).
fof(f1195,plain,
! [X2,X3,X1,X4,X5] :
( rless(vf(X2,X4),vf(X2,X1))
| ~ rinside(X4,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rcenter(X2,X3)
| ~ ron(X1,X3) ),
inference(equality_resolution,[],[f851]) ).
fof(f851,plain,
! [X2,X3,X0,X1,X4,X5] :
( rless(vf(X2,X0),vf(X2,X1))
| ~ rinside(X0,X3)
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rcenter(X2,X3)
| ~ ron(X1,X3) ),
inference(cnf_transformation,[],[f608]) ).
fof(f608,plain,
! [X0,X1,X2,X3] :
( ( ( rless(vf(X2,X0),vf(X2,X1))
| ~ rinside(X0,X3) )
& ( rinside(X0,X3)
| ~ rless(vf(X2,X0),vf(X2,X1)) ) )
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ~ rcenter(X2,X3)
| ~ ron(X1,X3) ),
inference(nnf_transformation,[],[f423]) ).
fof(f423,plain,
! [X0,X1,X2,X3] :
( ( rless(vf(X2,X0),vf(X2,X1))
<=> rinside(X0,X3) )
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ~ rcenter(X2,X3)
| ~ ron(X1,X3) ),
inference(flattening,[],[f422]) ).
fof(f422,plain,
! [X0,X1,X2,X3] :
( ( rless(vf(X2,X0),vf(X2,X1))
<=> rinside(X0,X3) )
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ~ rcenter(X2,X3)
| ~ ron(X1,X3) ),
inference(ennf_transformation,[],[f235]) ).
fof(f235,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( rpoint(X4)
& X0 = X4 )
& ? [X5] :
( rpoint(X5)
& X1 = X5 )
& rcenter(X2,X3)
& ron(X1,X3) )
=> ( rless(vf(X2,X0),vf(X2,X1))
<=> rinside(X0,X3) ) ),
inference(rectify,[],[f96]) ).
fof(f96,axiom,
! [X130,X131,X132,X133] :
( ( ? [X135] :
( rpoint(X135)
& X130 = X135 )
& ? [X134] :
( rpoint(X134)
& X131 = X134 )
& rcenter(X132,X133)
& ron(X131,X133) )
=> ( rless(vf(X132,X130),vf(X132,X131))
<=> rinside(X130,X133) ) ),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))') ).
fof(f9534,plain,
( ! [X1] :
( rinside(vd1289,X1)
| ~ rinside(vd1287,X1)
| ~ rinside(vd1303,X1)
| ~ rcircle(X1) )
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_36
| ~ spl119_53 ),
inference(subsumption_resolution,[],[f9533,f2062]) ).
fof(f9533,plain,
( ! [X1] :
( ~ rpoint(vd1289)
| ~ rcircle(X1)
| ~ rinside(vd1287,X1)
| ~ rinside(vd1303,X1)
| rinside(vd1289,X1) )
| ~ spl119_7
| ~ spl119_33
| ~ spl119_36
| ~ spl119_53 ),
inference(subsumption_resolution,[],[f9532,f1935]) ).
fof(f9532,plain,
( ! [X1] :
( ~ rpoint(vd1303)
| ~ rpoint(vd1289)
| ~ rcircle(X1)
| ~ rinside(vd1287,X1)
| ~ rinside(vd1303,X1)
| rinside(vd1289,X1) )
| ~ spl119_33
| ~ spl119_36
| ~ spl119_53 ),
inference(subsumption_resolution,[],[f9512,f2078]) ).
fof(f9512,plain,
( ! [X1] :
( ~ rpoint(vd1287)
| ~ rpoint(vd1303)
| ~ rpoint(vd1289)
| ~ rcircle(X1)
| ~ rinside(vd1287,X1)
| ~ rinside(vd1303,X1)
| rinside(vd1289,X1) )
| ~ spl119_36
| ~ spl119_53 ),
inference(resolution,[],[f9413,f2191]) ).
fof(f9413,plain,
( ! [X8,X6,X9,X7] :
( ~ rR(X9,X7,X8)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rcircle(X6)
| ~ rinside(X7,X6)
| ~ rinside(X8,X6)
| rinside(X9,X6) )
| ~ spl119_36 ),
inference(subsumption_resolution,[],[f1863,f2091]) ).
fof(f2091,plain,
( sP102
| ~ spl119_36 ),
inference(avatar_component_clause,[],[f2089]) ).
fof(f2089,plain,
( spl119_36
<=> sP102 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_36])]) ).
fof(f1863,plain,
! [X8,X6,X9,X7] :
( rinside(X9,X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rcircle(X6)
| ~ rinside(X7,X6)
| ~ rinside(X8,X6)
| ~ rR(X9,X7,X8)
| ~ sP102 ),
inference(general_splitting,[],[f1608,f1862_D]) ).
fof(f1862,plain,
! [X4] :
( ~ rline(X4)
| sP102 ),
inference(cnf_transformation,[],[f1862_D]) ).
fof(f1862_D,plain,
( ! [X4] : ~ rline(X4)
<=> ~ sP102 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP102])]) ).
fof(f1608,plain,
! [X8,X6,X9,X7,X4] :
( rinside(X9,X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X4)
| ~ rcircle(X6)
| ~ rinside(X7,X6)
| ~ rinside(X8,X6)
| ~ rR(X9,X7,X8) ),
inference(equality_resolution,[],[f1607]) ).
fof(f1607,plain,
! [X8,X6,X9,X7,X4,X5] :
( rinside(X9,X5)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X4)
| ~ rcircle(X6)
| X5 != X6
| ~ rinside(X7,X5)
| ~ rinside(X8,X5)
| ~ rR(X9,X7,X8) ),
inference(equality_resolution,[],[f1606]) ).
fof(f1606,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( rinside(X9,X5)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ rinside(X7,X5)
| ~ rinside(X8,X5)
| ~ rR(X9,X7,X8) ),
inference(equality_resolution,[],[f1605]) ).
fof(f1605,plain,
! [X2,X3,X8,X6,X9,X7,X4,X5] :
( rinside(X2,X5)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X2 != X9
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ rinside(X7,X5)
| ~ rinside(X8,X5)
| ~ rR(X2,X7,X8) ),
inference(equality_resolution,[],[f1604]) ).
fof(f1604,plain,
! [X2,X3,X1,X8,X6,X9,X7,X4,X5] :
( rinside(X2,X5)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X9)
| X2 != X9
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ rinside(X7,X5)
| ~ rinside(X1,X5)
| ~ rR(X2,X7,X1) ),
inference(equality_resolution,[],[f952]) ).
fof(f952,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( rinside(X2,X5)
| ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X9)
| X2 != X9
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ rinside(X0,X5)
| ~ rinside(X1,X5)
| ~ rR(X2,X0,X1) ),
inference(cnf_transformation,[],[f519]) ).
fof(f519,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( rinside(X2,X5)
| ! [X7] :
( ~ rpoint(X7)
| X0 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X1 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X2 != X9 )
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ( ~ rinside(X0,X5)
& ~ ron(X0,X5) )
| ( ~ rinside(X1,X5)
& ~ ron(X1,X5) )
| ~ rR(X2,X0,X1) ),
inference(flattening,[],[f518]) ).
fof(f518,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( rinside(X2,X5)
| ! [X7] :
( ~ rpoint(X7)
| X0 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X1 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X2 != X9 )
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ( ~ rinside(X0,X5)
& ~ ron(X0,X5) )
| ( ~ rinside(X1,X5)
& ~ ron(X1,X5) )
| ~ rR(X2,X0,X1) ),
inference(ennf_transformation,[],[f285]) ).
fof(f285,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ? [X7] :
( rpoint(X7)
& X0 = X7 )
& ? [X8] :
( rpoint(X8)
& X1 = X8 )
& ? [X9] :
( rpoint(X9)
& X2 = X9 )
& rline(X4)
& X3 = X4
& rcircle(X6)
& X5 = X6
& ( rinside(X0,X5)
| ron(X0,X5) )
& ( rinside(X1,X5)
| ron(X1,X5) )
& rR(X2,X0,X1) )
=> rinside(X2,X5) ),
inference(rectify,[],[f129]) ).
fof(f129,axiom,
! [X354,X355,X356,X357,X358,X359,X360] :
( ( ? [X363] :
( rpoint(X363)
& X354 = X363 )
& ? [X362] :
( rpoint(X362)
& X355 = X362 )
& ? [X361] :
( rpoint(X361)
& X356 = X361 )
& rline(X358)
& X357 = X358
& rcircle(X360)
& X359 = X360
& ( rinside(X354,X359)
| ron(X354,X359) )
& ( rinside(X355,X359)
| ron(X355,X359) )
& rR(X356,X354,X355) )
=> rinside(X356,X359) ),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','qu(cond(axiom(121), 0), imp(cond(axiom(121), 0)))') ).
fof(f89760,plain,
( ! [X2] :
( ~ rless(sK16(vd1303,vd1287),sK16(vd1287,sK2))
| rinside(vd1303,X2)
| ~ rcenter(vd1287,X2)
| ~ ron(vd1289,X2) )
| ~ spl119_7
| ~ spl119_30
| ~ spl119_108
| ~ spl119_123 ),
inference(subsumption_resolution,[],[f68302,f1935]) ).
fof(f68302,plain,
( ! [X2] :
( ~ rless(sK16(vd1303,vd1287),sK16(vd1287,sK2))
| rinside(vd1303,X2)
| ~ rpoint(vd1303)
| ~ rcenter(vd1287,X2)
| ~ ron(vd1289,X2) )
| ~ spl119_30
| ~ spl119_108
| ~ spl119_123 ),
inference(superposition,[],[f6570,f3129]) ).
fof(f3129,plain,
( vf(vd1287,vd1303) = sK16(vd1303,vd1287)
| ~ spl119_123 ),
inference(avatar_component_clause,[],[f3127]) ).
fof(f3127,plain,
( spl119_123
<=> vf(vd1287,vd1303) = sK16(vd1303,vd1287) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_123])]) ).
fof(f6570,plain,
( ! [X28,X27] :
( ~ rless(vf(vd1287,X27),sK16(vd1287,sK2))
| rinside(X27,X28)
| ~ rpoint(X27)
| ~ rcenter(vd1287,X28)
| ~ ron(vd1289,X28) )
| ~ spl119_30
| ~ spl119_108 ),
inference(subsumption_resolution,[],[f6531,f2062]) ).
fof(f6531,plain,
( ! [X28,X27] :
( ~ rless(vf(vd1287,X27),sK16(vd1287,sK2))
| rinside(X27,X28)
| ~ rpoint(X27)
| ~ rpoint(vd1289)
| ~ rcenter(vd1287,X28)
| ~ ron(vd1289,X28) )
| ~ spl119_108 ),
inference(superposition,[],[f1198,f2971]) ).
fof(f1198,plain,
! [X2,X3,X4,X5] :
( ~ rless(vf(X2,X4),vf(X2,X5))
| rinside(X4,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| ~ ron(X5,X3) ),
inference(equality_resolution,[],[f1197]) ).
fof(f1197,plain,
! [X2,X3,X1,X4,X5] :
( rinside(X4,X3)
| ~ rless(vf(X2,X4),vf(X2,X1))
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rcenter(X2,X3)
| ~ ron(X1,X3) ),
inference(equality_resolution,[],[f850]) ).
fof(f850,plain,
! [X2,X3,X0,X1,X4,X5] :
( rinside(X0,X3)
| ~ rless(vf(X2,X0),vf(X2,X1))
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rcenter(X2,X3)
| ~ ron(X1,X3) ),
inference(cnf_transformation,[],[f608]) ).
fof(f89745,plain,
( ~ spl119_116
| ~ spl119_121
| spl119_272
| spl119_394
| spl119_396 ),
inference(avatar_contradiction_clause,[],[f89744]) ).
fof(f89744,plain,
( $false
| ~ spl119_116
| ~ spl119_121
| spl119_272
| spl119_394
| spl119_396 ),
inference(subsumption_resolution,[],[f89743,f3064]) ).
fof(f89743,plain,
( ~ rreal(sK16(vd1287,sK2))
| ~ spl119_121
| spl119_272
| spl119_394
| spl119_396 ),
inference(subsumption_resolution,[],[f89742,f3112]) ).
fof(f3112,plain,
( rreal(sK16(vd1303,vd1287))
| ~ spl119_121 ),
inference(avatar_component_clause,[],[f3110]) ).
fof(f3110,plain,
( spl119_121
<=> rreal(sK16(vd1303,vd1287)) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_121])]) ).
fof(f89742,plain,
( ~ rreal(sK16(vd1303,vd1287))
| ~ rreal(sK16(vd1287,sK2))
| spl119_272
| spl119_394
| spl119_396 ),
inference(subsumption_resolution,[],[f89741,f57427]) ).
fof(f57427,plain,
( ~ rless(sK16(vd1303,vd1287),sK16(vd1287,sK2))
| spl119_396 ),
inference(avatar_component_clause,[],[f57425]) ).
fof(f89741,plain,
( rless(sK16(vd1303,vd1287),sK16(vd1287,sK2))
| ~ rreal(sK16(vd1303,vd1287))
| ~ rreal(sK16(vd1287,sK2))
| spl119_272
| spl119_394 ),
inference(subsumption_resolution,[],[f89732,f29714]) ).
fof(f29714,plain,
( sK16(vd1303,vd1287) != sK16(vd1287,sK2)
| spl119_272 ),
inference(avatar_component_clause,[],[f29713]) ).
fof(f29713,plain,
( spl119_272
<=> sK16(vd1303,vd1287) = sK16(vd1287,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_272])]) ).
fof(f89732,plain,
( sK16(vd1303,vd1287) = sK16(vd1287,sK2)
| rless(sK16(vd1303,vd1287),sK16(vd1287,sK2))
| ~ rreal(sK16(vd1303,vd1287))
| ~ rreal(sK16(vd1287,sK2))
| spl119_394 ),
inference(resolution,[],[f57398,f1125]) ).
fof(f1125,plain,
! [X3,X1] :
( rless(X3,X1)
| X1 = X3
| rless(X1,X3)
| ~ rreal(X1)
| ~ rreal(X3) ),
inference(equality_resolution,[],[f1124]) ).
fof(f1124,plain,
! [X2,X3,X1] :
( rless(X2,X1)
| X1 = X2
| rless(X1,X2)
| ~ rreal(X1)
| ~ rreal(X3)
| X2 != X3 ),
inference(equality_resolution,[],[f814]) ).
fof(f814,plain,
! [X2,X3,X0,X1] :
( rless(X2,X0)
| X0 = X2
| rless(X0,X2)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(cnf_transformation,[],[f391]) ).
fof(f391,plain,
! [X0,X1,X2,X3] :
( rless(X2,X0)
| X0 = X2
| rless(X0,X2)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(flattening,[],[f390]) ).
fof(f390,plain,
! [X0,X1,X2,X3] :
( rless(X2,X0)
| X0 = X2
| rless(X0,X2)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(ennf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0,X1,X2,X3] :
( ( rreal(X1)
& X0 = X1
& rreal(X3)
& X2 = X3 )
=> ( rless(X2,X0)
| X0 = X2
| rless(X0,X2) ) ),
inference(rectify,[],[f122]) ).
fof(f122,axiom,
! [X301,X302,X303,X304] :
( ( rreal(X302)
& X301 = X302
& rreal(X304)
& X303 = X304 )
=> ( rless(X303,X301)
| X301 = X303
| rless(X301,X303) ) ),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','qu(cond(axiom(145), 0), imp(cond(axiom(145), 0)))') ).
fof(f57398,plain,
( ~ rless(sK16(vd1287,sK2),sK16(vd1303,vd1287))
| spl119_394 ),
inference(avatar_component_clause,[],[f57397]) ).
fof(f57397,plain,
( spl119_394
<=> rless(sK16(vd1287,sK2),sK16(vd1303,vd1287)) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_394])]) ).
fof(f89597,plain,
( ~ spl119_3
| ~ spl119_6
| ~ spl119_9
| spl119_12
| ~ spl119_20
| ~ spl119_26
| ~ spl119_33
| ~ spl119_48
| spl119_49
| spl119_50
| spl119_240
| spl119_510
| spl119_519 ),
inference(avatar_contradiction_clause,[],[f89594]) ).
fof(f89594,plain,
( $false
| ~ spl119_3
| ~ spl119_6
| ~ spl119_9
| spl119_12
| ~ spl119_20
| ~ spl119_26
| ~ spl119_33
| ~ spl119_48
| spl119_49
| spl119_50
| spl119_240
| spl119_510
| spl119_519 ),
inference(unit_resulting_resolution,[],[f1915,f2003,f2160,f2038,f2078,f1930,f1945,f1960,f2165,f89419,f87568,f2176,f12250,f1278]) ).
fof(f1278,plain,
! [X6,X7,X4,X5] :
( rR(X7,X5,X6)
| rR(X5,X6,X7)
| rR(X6,X5,X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X5 = X6
| X5 = X7
| X6 = X7
| ~ rline(X4)
| ~ ron(X5,X4)
| ~ ron(X6,X4)
| ~ ron(X7,X4) ),
inference(equality_resolution,[],[f1277]) ).
fof(f1277,plain,
! [X3,X6,X7,X4,X5] :
( rR(X7,X5,X6)
| rR(X5,X6,X7)
| rR(X6,X5,X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X5 = X6
| X5 = X7
| X6 = X7
| ~ rline(X4)
| ~ ron(X5,X3)
| ~ ron(X6,X3)
| ~ ron(X7,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f1276]) ).
fof(f1276,plain,
! [X2,X3,X6,X7,X4,X5] :
( rR(X2,X5,X6)
| rR(X5,X6,X2)
| rR(X6,X5,X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| X5 = X6
| X2 = X5
| X2 = X6
| ~ rline(X4)
| ~ ron(X5,X3)
| ~ ron(X6,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f1275]) ).
fof(f1275,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rR(X2,X5,X1)
| rR(X5,X1,X2)
| rR(X1,X5,X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| X1 = X5
| X2 = X5
| X1 = X2
| ~ rline(X4)
| ~ ron(X5,X3)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f873]) ).
fof(f873,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(X2,X0,X1)
| rR(X0,X1,X2)
| rR(X1,X0,X2)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rline(X4)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(cnf_transformation,[],[f447]) ).
fof(f447,plain,
! [X0,X1,X2,X3,X4] :
( rR(X2,X0,X1)
| rR(X0,X1,X2)
| rR(X1,X0,X2)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rline(X4)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(flattening,[],[f446]) ).
fof(f446,plain,
! [X0,X1,X2,X3,X4] :
( rR(X2,X0,X1)
| rR(X0,X1,X2)
| rR(X1,X0,X2)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rline(X4)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(ennf_transformation,[],[f248]) ).
fof(f248,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& X0 != X1
& X0 != X2
& X1 != X2
& rline(X4)
& ron(X0,X3)
& ron(X1,X3)
& ron(X2,X3)
& X3 = X4 )
=> ( rR(X2,X0,X1)
| rR(X0,X1,X2)
| rR(X1,X0,X2) ) ),
inference(rectify,[],[f114]) ).
fof(f114,axiom,
! [X220,X221,X222,X223,X224] :
( ( ? [X227] :
( rpoint(X227)
& X220 = X227 )
& ? [X226] :
( rpoint(X226)
& X221 = X226 )
& ? [X225] :
( rpoint(X225)
& X222 = X225 )
& X220 != X221
& X220 != X222
& X221 != X222
& rline(X224)
& ron(X220,X223)
& ron(X221,X223)
& ron(X222,X223)
& X223 = X224 )
=> ( rR(X222,X220,X221)
| rR(X220,X221,X222)
| rR(X221,X220,X222) ) ),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))') ).
fof(f12250,plain,
( vd1329 != sK2
| spl119_240 ),
inference(avatar_component_clause,[],[f12249]) ).
fof(f12249,plain,
( spl119_240
<=> vd1329 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_240])]) ).
fof(f2176,plain,
( ~ rR(vd1287,sK2,vd1329)
| spl119_50 ),
inference(avatar_component_clause,[],[f2174]) ).
fof(f2174,plain,
( spl119_50
<=> rR(vd1287,sK2,vd1329) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_50])]) ).
fof(f87568,plain,
( ~ rR(sK2,vd1287,vd1329)
| spl119_510 ),
inference(avatar_component_clause,[],[f87566]) ).
fof(f89419,plain,
( ~ rR(vd1329,vd1287,sK2)
| spl119_519 ),
inference(avatar_component_clause,[],[f89417]) ).
fof(f89417,plain,
( spl119_519
<=> rR(vd1329,vd1287,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_519])]) ).
fof(f2165,plain,
( vd1287 != sK2
| spl119_49 ),
inference(avatar_component_clause,[],[f2163]) ).
fof(f2163,plain,
( spl119_49
<=> vd1287 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_49])]) ).
fof(f89561,plain,
( vd1329 != sK2
| vf(vd1287,vd1289) != vf(vd1287,sK2)
| sK16(vd1287,vd1303) != sK16(vd1303,vd1287)
| sK16(vd1287,vd1329) != sK16(vd1287,vd1303)
| vf(vd1287,vd1329) != vf(vd1287,vd1303)
| vf(vd1287,vd1303) != sK16(vd1287,vd1329)
| vf(vd1287,vd1289) = sK16(vd1303,vd1287) ),
introduced(theory_tautology_sat_conflict,[]) ).
fof(f89555,plain,
( ~ spl119_3
| ~ spl119_20
| ~ spl119_26
| ~ spl119_48
| ~ spl119_507 ),
inference(avatar_contradiction_clause,[],[f89554]) ).
fof(f89554,plain,
( $false
| ~ spl119_3
| ~ spl119_20
| ~ spl119_26
| ~ spl119_48
| ~ spl119_507 ),
inference(subsumption_resolution,[],[f89553,f1915]) ).
fof(f89553,plain,
( ~ rline(vd1295)
| ~ spl119_20
| ~ spl119_26
| ~ spl119_48
| ~ spl119_507 ),
inference(subsumption_resolution,[],[f89552,f2003]) ).
fof(f89552,plain,
( ~ ron(vd1329,vd1295)
| ~ rline(vd1295)
| ~ spl119_26
| ~ spl119_48
| ~ spl119_507 ),
inference(subsumption_resolution,[],[f89540,f2038]) ).
fof(f89540,plain,
( ~ ron(vd1287,vd1295)
| ~ ron(vd1329,vd1295)
| ~ rline(vd1295)
| ~ spl119_48
| ~ spl119_507 ),
inference(resolution,[],[f87461,f2160]) ).
fof(f87461,plain,
( ! [X484] :
( ~ ron(sK2,X484)
| ~ ron(vd1287,X484)
| ~ ron(vd1329,X484)
| ~ rline(X484) )
| ~ spl119_507 ),
inference(avatar_component_clause,[],[f87460]) ).
fof(f87460,plain,
( spl119_507
<=> ! [X484] :
( ~ rline(X484)
| ~ ron(vd1287,X484)
| ~ ron(vd1329,X484)
| ~ ron(sK2,X484) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_507])]) ).
fof(f89420,plain,
( ~ spl119_519
| ~ spl119_6
| ~ spl119_9
| ~ spl119_33
| spl119_508 ),
inference(avatar_split_clause,[],[f89415,f87463,f2076,f1943,f1928,f89417]) ).
fof(f87463,plain,
( spl119_508
<=> rR(vd1329,sK2,vd1287) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_508])]) ).
fof(f89415,plain,
( ~ rR(vd1329,vd1287,sK2)
| ~ spl119_6
| ~ spl119_9
| ~ spl119_33
| spl119_508 ),
inference(subsumption_resolution,[],[f89414,f1945]) ).
fof(f89414,plain,
( ~ rpoint(sK2)
| ~ rR(vd1329,vd1287,sK2)
| ~ spl119_6
| ~ spl119_33
| spl119_508 ),
inference(subsumption_resolution,[],[f89413,f1930]) ).
fof(f89413,plain,
( ~ rpoint(vd1329)
| ~ rpoint(sK2)
| ~ rR(vd1329,vd1287,sK2)
| ~ spl119_33
| spl119_508 ),
inference(subsumption_resolution,[],[f89395,f2078]) ).
fof(f89395,plain,
( ~ rpoint(vd1287)
| ~ rpoint(vd1329)
| ~ rpoint(sK2)
| ~ rR(vd1329,vd1287,sK2)
| spl119_508 ),
inference(resolution,[],[f87464,f1064]) ).
fof(f87464,plain,
( ~ rR(vd1329,sK2,vd1287)
| spl119_508 ),
inference(avatar_component_clause,[],[f87463]) ).
fof(f89387,plain,
( ~ spl119_6
| ~ spl119_9
| spl119_12
| ~ spl119_33
| ~ spl119_36
| ~ spl119_109
| ~ spl119_121
| ~ spl119_122
| ~ spl119_394
| ~ spl119_476
| ~ spl119_508 ),
inference(avatar_contradiction_clause,[],[f89386]) ).
fof(f89386,plain,
( $false
| ~ spl119_6
| ~ spl119_9
| spl119_12
| ~ spl119_33
| ~ spl119_36
| ~ spl119_109
| ~ spl119_121
| ~ spl119_122
| ~ spl119_394
| ~ spl119_476
| ~ spl119_508 ),
inference(subsumption_resolution,[],[f89385,f1960]) ).
fof(f89385,plain,
( vd1329 = vd1287
| ~ spl119_6
| ~ spl119_9
| ~ spl119_33
| ~ spl119_36
| ~ spl119_109
| ~ spl119_121
| ~ spl119_122
| ~ spl119_394
| ~ spl119_476
| ~ spl119_508 ),
inference(subsumption_resolution,[],[f89367,f1930]) ).
fof(f89367,plain,
( ~ rpoint(vd1329)
| vd1329 = vd1287
| ~ spl119_6
| ~ spl119_9
| ~ spl119_33
| ~ spl119_36
| ~ spl119_109
| ~ spl119_121
| ~ spl119_122
| ~ spl119_394
| ~ spl119_476
| ~ spl119_508 ),
inference(resolution,[],[f89350,f70292]) ).
fof(f70292,plain,
( ron(vd1329,sK6(vd1287,vd1329))
| ~ spl119_476 ),
inference(avatar_component_clause,[],[f70291]) ).
fof(f70291,plain,
( spl119_476
<=> ron(vd1329,sK6(vd1287,vd1329)) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_476])]) ).
fof(f89350,plain,
( ! [X0] :
( ~ ron(vd1329,sK6(vd1287,X0))
| ~ rpoint(X0)
| vd1287 = X0 )
| ~ spl119_6
| ~ spl119_9
| ~ spl119_33
| ~ spl119_36
| ~ spl119_109
| ~ spl119_121
| ~ spl119_122
| ~ spl119_394
| ~ spl119_508 ),
inference(subsumption_resolution,[],[f89345,f2078]) ).
fof(f89345,plain,
( ! [X0] :
( ~ ron(vd1329,sK6(vd1287,X0))
| ~ rpoint(vd1287)
| ~ rpoint(X0)
| vd1287 = X0 )
| ~ spl119_6
| ~ spl119_9
| ~ spl119_33
| ~ spl119_36
| ~ spl119_109
| ~ spl119_121
| ~ spl119_122
| ~ spl119_394
| ~ spl119_508 ),
inference(resolution,[],[f89340,f1001]) ).
fof(f89340,plain,
( ! [X3] :
( ~ rcenter(vd1287,X3)
| ~ ron(vd1329,X3) )
| ~ spl119_6
| ~ spl119_9
| ~ spl119_33
| ~ spl119_36
| ~ spl119_109
| ~ spl119_121
| ~ spl119_122
| ~ spl119_394
| ~ spl119_508 ),
inference(subsumption_resolution,[],[f89339,f68387]) ).
fof(f68387,plain,
( ! [X3] :
( rinside(sK2,X3)
| ~ rcenter(vd1287,X3)
| ~ ron(vd1329,X3) )
| ~ spl119_6
| ~ spl119_9
| ~ spl119_109
| ~ spl119_122
| ~ spl119_394 ),
inference(subsumption_resolution,[],[f68386,f1945]) ).
fof(f68386,plain,
( ! [X3] :
( rinside(sK2,X3)
| ~ rpoint(sK2)
| ~ rcenter(vd1287,X3)
| ~ ron(vd1329,X3) )
| ~ spl119_6
| ~ spl119_109
| ~ spl119_122
| ~ spl119_394 ),
inference(subsumption_resolution,[],[f68365,f57399]) ).
fof(f57399,plain,
( rless(sK16(vd1287,sK2),sK16(vd1303,vd1287))
| ~ spl119_394 ),
inference(avatar_component_clause,[],[f57397]) ).
fof(f68365,plain,
( ! [X3] :
( ~ rless(sK16(vd1287,sK2),sK16(vd1303,vd1287))
| rinside(sK2,X3)
| ~ rpoint(sK2)
| ~ rcenter(vd1287,X3)
| ~ ron(vd1329,X3) )
| ~ spl119_6
| ~ spl119_109
| ~ spl119_122 ),
inference(superposition,[],[f6571,f2982]) ).
fof(f2982,plain,
( vf(vd1287,sK2) = sK16(vd1287,sK2)
| ~ spl119_109 ),
inference(avatar_component_clause,[],[f2980]) ).
fof(f2980,plain,
( spl119_109
<=> vf(vd1287,sK2) = sK16(vd1287,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_109])]) ).
fof(f6571,plain,
( ! [X29,X30] :
( ~ rless(vf(vd1287,X29),sK16(vd1303,vd1287))
| rinside(X29,X30)
| ~ rpoint(X29)
| ~ rcenter(vd1287,X30)
| ~ ron(vd1329,X30) )
| ~ spl119_6
| ~ spl119_122 ),
inference(subsumption_resolution,[],[f6532,f1930]) ).
fof(f6532,plain,
( ! [X29,X30] :
( ~ rless(vf(vd1287,X29),sK16(vd1303,vd1287))
| rinside(X29,X30)
| ~ rpoint(X29)
| ~ rpoint(vd1329)
| ~ rcenter(vd1287,X30)
| ~ ron(vd1329,X30) )
| ~ spl119_122 ),
inference(superposition,[],[f1198,f3117]) ).
fof(f3117,plain,
( vf(vd1287,vd1329) = sK16(vd1303,vd1287)
| ~ spl119_122 ),
inference(avatar_component_clause,[],[f3115]) ).
fof(f3115,plain,
( spl119_122
<=> vf(vd1287,vd1329) = sK16(vd1303,vd1287) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_122])]) ).
fof(f89339,plain,
( ! [X3] :
( ~ rinside(sK2,X3)
| ~ ron(vd1329,X3)
| ~ rcenter(vd1287,X3) )
| ~ spl119_6
| ~ spl119_9
| ~ spl119_33
| ~ spl119_36
| ~ spl119_121
| ~ spl119_122
| ~ spl119_508 ),
inference(subsumption_resolution,[],[f89338,f2512]) ).
fof(f89338,plain,
( ! [X3] :
( ~ rinside(sK2,X3)
| ~ rcircle(X3)
| ~ ron(vd1329,X3)
| ~ rcenter(vd1287,X3) )
| ~ spl119_6
| ~ spl119_9
| ~ spl119_33
| ~ spl119_36
| ~ spl119_121
| ~ spl119_122
| ~ spl119_508 ),
inference(subsumption_resolution,[],[f89331,f750]) ).
fof(f89331,plain,
( ! [X3] :
( ~ rinside(sK2,X3)
| ~ rinside(vd1287,X3)
| ~ rcircle(X3)
| ~ ron(vd1329,X3)
| ~ rcenter(vd1287,X3) )
| ~ spl119_6
| ~ spl119_9
| ~ spl119_33
| ~ spl119_36
| ~ spl119_121
| ~ spl119_122
| ~ spl119_508 ),
inference(resolution,[],[f87537,f8765]) ).
fof(f8765,plain,
( ! [X30] :
( ~ rinside(vd1329,X30)
| ~ ron(vd1329,X30)
| ~ rcenter(vd1287,X30) )
| ~ spl119_6
| ~ spl119_121
| ~ spl119_122 ),
inference(subsumption_resolution,[],[f8764,f1930]) ).
fof(f8764,plain,
( ! [X30] :
( ~ rpoint(vd1329)
| ~ rcenter(vd1287,X30)
| ~ ron(vd1329,X30)
| ~ rinside(vd1329,X30) )
| ~ spl119_121
| ~ spl119_122 ),
inference(subsumption_resolution,[],[f8739,f3112]) ).
fof(f8739,plain,
( ! [X30] :
( ~ rreal(sK16(vd1303,vd1287))
| ~ rpoint(vd1329)
| ~ rcenter(vd1287,X30)
| ~ ron(vd1329,X30)
| ~ rinside(vd1329,X30) )
| ~ spl119_122 ),
inference(superposition,[],[f6195,f3117]) ).
fof(f87537,plain,
( ! [X14] :
( rinside(vd1329,X14)
| ~ rinside(sK2,X14)
| ~ rinside(vd1287,X14)
| ~ rcircle(X14) )
| ~ spl119_6
| ~ spl119_9
| ~ spl119_33
| ~ spl119_36
| ~ spl119_508 ),
inference(subsumption_resolution,[],[f87536,f1930]) ).
fof(f87536,plain,
( ! [X14] :
( ~ rpoint(vd1329)
| ~ rcircle(X14)
| ~ rinside(sK2,X14)
| ~ rinside(vd1287,X14)
| rinside(vd1329,X14) )
| ~ spl119_9
| ~ spl119_33
| ~ spl119_36
| ~ spl119_508 ),
inference(subsumption_resolution,[],[f87535,f2078]) ).
fof(f87535,plain,
( ! [X14] :
( ~ rpoint(vd1287)
| ~ rpoint(vd1329)
| ~ rcircle(X14)
| ~ rinside(sK2,X14)
| ~ rinside(vd1287,X14)
| rinside(vd1329,X14) )
| ~ spl119_9
| ~ spl119_36
| ~ spl119_508 ),
inference(subsumption_resolution,[],[f87496,f1945]) ).
fof(f87496,plain,
( ! [X14] :
( ~ rpoint(sK2)
| ~ rpoint(vd1287)
| ~ rpoint(vd1329)
| ~ rcircle(X14)
| ~ rinside(sK2,X14)
| ~ rinside(vd1287,X14)
| rinside(vd1329,X14) )
| ~ spl119_36
| ~ spl119_508 ),
inference(resolution,[],[f87465,f9413]) ).
fof(f87465,plain,
( rR(vd1329,sK2,vd1287)
| ~ spl119_508 ),
inference(avatar_component_clause,[],[f87463]) ).
fof(f87470,plain,
( spl119_507
| spl119_240
| spl119_508
| spl119_509
| ~ spl119_6
| ~ spl119_9
| spl119_12
| ~ spl119_33
| spl119_49
| spl119_50 ),
inference(avatar_split_clause,[],[f16350,f2174,f2163,f2076,f1958,f1943,f1928,f87467,f87463,f12249,f87460]) ).
fof(f16350,plain,
( ! [X484] :
( rR(sK2,vd1329,vd1287)
| rR(vd1329,sK2,vd1287)
| vd1329 = sK2
| ~ rline(X484)
| ~ ron(sK2,X484)
| ~ ron(vd1329,X484)
| ~ ron(vd1287,X484) )
| ~ spl119_6
| ~ spl119_9
| spl119_12
| ~ spl119_33
| spl119_49
| spl119_50 ),
inference(subsumption_resolution,[],[f16349,f1960]) ).
fof(f16349,plain,
( ! [X484] :
( rR(sK2,vd1329,vd1287)
| rR(vd1329,sK2,vd1287)
| vd1329 = sK2
| vd1329 = vd1287
| ~ rline(X484)
| ~ ron(sK2,X484)
| ~ ron(vd1329,X484)
| ~ ron(vd1287,X484) )
| ~ spl119_6
| ~ spl119_9
| ~ spl119_33
| spl119_49
| spl119_50 ),
inference(subsumption_resolution,[],[f16348,f2165]) ).
fof(f16348,plain,
( ! [X484] :
( rR(sK2,vd1329,vd1287)
| rR(vd1329,sK2,vd1287)
| vd1329 = sK2
| vd1287 = sK2
| vd1329 = vd1287
| ~ rline(X484)
| ~ ron(sK2,X484)
| ~ ron(vd1329,X484)
| ~ ron(vd1287,X484) )
| ~ spl119_6
| ~ spl119_9
| ~ spl119_33
| spl119_50 ),
inference(subsumption_resolution,[],[f16347,f2078]) ).
fof(f16347,plain,
( ! [X484] :
( rR(sK2,vd1329,vd1287)
| rR(vd1329,sK2,vd1287)
| ~ rpoint(vd1287)
| vd1329 = sK2
| vd1287 = sK2
| vd1329 = vd1287
| ~ rline(X484)
| ~ ron(sK2,X484)
| ~ ron(vd1329,X484)
| ~ ron(vd1287,X484) )
| ~ spl119_6
| ~ spl119_9
| spl119_50 ),
inference(subsumption_resolution,[],[f16346,f1930]) ).
fof(f16346,plain,
( ! [X484] :
( rR(sK2,vd1329,vd1287)
| rR(vd1329,sK2,vd1287)
| ~ rpoint(vd1329)
| ~ rpoint(vd1287)
| vd1329 = sK2
| vd1287 = sK2
| vd1329 = vd1287
| ~ rline(X484)
| ~ ron(sK2,X484)
| ~ ron(vd1329,X484)
| ~ ron(vd1287,X484) )
| ~ spl119_9
| spl119_50 ),
inference(subsumption_resolution,[],[f15368,f1945]) ).
fof(f15368,plain,
( ! [X484] :
( rR(sK2,vd1329,vd1287)
| rR(vd1329,sK2,vd1287)
| ~ rpoint(sK2)
| ~ rpoint(vd1329)
| ~ rpoint(vd1287)
| vd1329 = sK2
| vd1287 = sK2
| vd1329 = vd1287
| ~ rline(X484)
| ~ ron(sK2,X484)
| ~ ron(vd1329,X484)
| ~ ron(vd1287,X484) )
| spl119_50 ),
inference(resolution,[],[f1278,f2176]) ).
fof(f70514,plain,
( ~ spl119_6
| spl119_12
| ~ spl119_33
| spl119_476 ),
inference(avatar_contradiction_clause,[],[f70513]) ).
fof(f70513,plain,
( $false
| ~ spl119_6
| spl119_12
| ~ spl119_33
| spl119_476 ),
inference(subsumption_resolution,[],[f70512,f1960]) ).
fof(f70512,plain,
( vd1329 = vd1287
| ~ spl119_6
| ~ spl119_33
| spl119_476 ),
inference(subsumption_resolution,[],[f70511,f1930]) ).
fof(f70511,plain,
( ~ rpoint(vd1329)
| vd1329 = vd1287
| ~ spl119_33
| spl119_476 ),
inference(subsumption_resolution,[],[f70504,f2078]) ).
fof(f70504,plain,
( ~ rpoint(vd1287)
| ~ rpoint(vd1329)
| vd1329 = vd1287
| spl119_476 ),
inference(resolution,[],[f70293,f1003]) ).
fof(f70293,plain,
( ~ ron(vd1329,sK6(vd1287,vd1329))
| spl119_476 ),
inference(avatar_component_clause,[],[f70291]) ).
fof(f65054,plain,
( spl119_453
| spl119_454
| ~ spl119_7
| ~ spl119_9
| ~ spl119_33
| spl119_49
| spl119_215
| spl119_225 ),
inference(avatar_split_clause,[],[f48276,f11234,f10685,f2163,f2076,f1943,f1933,f65052,f65048]) ).
fof(f11234,plain,
( spl119_225
<=> v0 = vangle(vd1287,sK2,vd1303) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_225])]) ).
fof(f48276,plain,
( ! [X48] :
( ~ ron(vd1303,X48)
| rR(sK2,vd1287,vd1303)
| ~ rline(X48)
| ~ ron(sK2,X48)
| ~ ron(vd1287,X48) )
| ~ spl119_7
| ~ spl119_9
| ~ spl119_33
| spl119_49
| spl119_215
| spl119_225 ),
inference(subsumption_resolution,[],[f48275,f10686]) ).
fof(f48275,plain,
( ! [X48] :
( ~ ron(vd1303,X48)
| rR(sK2,vd1287,vd1303)
| ~ rline(X48)
| vd1303 = sK2
| ~ ron(sK2,X48)
| ~ ron(vd1287,X48) )
| ~ spl119_7
| ~ spl119_9
| ~ spl119_33
| spl119_49
| spl119_225 ),
inference(subsumption_resolution,[],[f48274,f2165]) ).
fof(f48274,plain,
( ! [X48] :
( ~ ron(vd1303,X48)
| rR(sK2,vd1287,vd1303)
| ~ rline(X48)
| vd1287 = sK2
| vd1303 = sK2
| ~ ron(sK2,X48)
| ~ ron(vd1287,X48) )
| ~ spl119_7
| ~ spl119_9
| ~ spl119_33
| spl119_225 ),
inference(subsumption_resolution,[],[f48273,f1935]) ).
fof(f48273,plain,
( ! [X48] :
( ~ ron(vd1303,X48)
| rR(sK2,vd1287,vd1303)
| ~ rpoint(vd1303)
| ~ rline(X48)
| vd1287 = sK2
| vd1303 = sK2
| ~ ron(sK2,X48)
| ~ ron(vd1287,X48) )
| ~ spl119_9
| ~ spl119_33
| spl119_225 ),
inference(subsumption_resolution,[],[f48272,f2078]) ).
fof(f48272,plain,
( ! [X48] :
( ~ ron(vd1303,X48)
| rR(sK2,vd1287,vd1303)
| ~ rpoint(vd1287)
| ~ rpoint(vd1303)
| ~ rline(X48)
| vd1287 = sK2
| vd1303 = sK2
| ~ ron(sK2,X48)
| ~ ron(vd1287,X48) )
| ~ spl119_9
| spl119_225 ),
inference(subsumption_resolution,[],[f48165,f1945]) ).
fof(f48165,plain,
( ! [X48] :
( ~ ron(vd1303,X48)
| rR(sK2,vd1287,vd1303)
| ~ rpoint(sK2)
| ~ rpoint(vd1287)
| ~ rpoint(vd1303)
| ~ rline(X48)
| vd1287 = sK2
| vd1303 = sK2
| ~ ron(sK2,X48)
| ~ ron(vd1287,X48) )
| spl119_225 ),
inference(trivial_inequality_removal,[],[f48160]) ).
fof(f48160,plain,
( ! [X48] :
( v0 != v0
| ~ ron(vd1303,X48)
| rR(sK2,vd1287,vd1303)
| ~ rpoint(sK2)
| ~ rpoint(vd1287)
| ~ rpoint(vd1303)
| ~ rline(X48)
| vd1287 = sK2
| vd1303 = sK2
| ~ ron(sK2,X48)
| ~ ron(vd1287,X48) )
| spl119_225 ),
inference(superposition,[],[f11236,f1687]) ).
fof(f11236,plain,
( v0 != vangle(vd1287,sK2,vd1303)
| spl119_225 ),
inference(avatar_component_clause,[],[f11234]) ).
fof(f64421,plain,
( vf(vd1287,vd1300) != sK16(vd1287,sK2)
| sK16(vd1287,vd1303) != sK16(vd1303,vd1287)
| sK16(vd1287,vd1329) != sK16(vd1287,vd1303)
| vf(vd1287,vd1303) != sK16(vd1287,vd1329)
| ~ rless(sK16(vd1287,sK2),sK16(vd1303,vd1287))
| rless(vf(vd1287,vd1300),vf(vd1287,vd1303)) ),
introduced(theory_tautology_sat_conflict,[]) ).
fof(f63939,plain,
( spl119_240
| spl119_432
| ~ spl119_6
| ~ spl119_9
| ~ spl119_30
| ~ spl119_56
| spl119_133
| spl119_241
| spl119_242 ),
inference(avatar_split_clause,[],[f59080,f12257,f12253,f3359,f2207,f2060,f1943,f1928,f63937,f12249]) ).
fof(f2207,plain,
( spl119_56
<=> sF118 = vangle(sK2,vd1329,vd1289) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_56])]) ).
fof(f12257,plain,
( spl119_242
<=> v0 = sF118 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_242])]) ).
fof(f59080,plain,
( ! [X73] :
( ~ ron(vd1289,X73)
| ~ rline(X73)
| vd1329 = sK2
| ~ ron(vd1329,X73)
| ~ ron(sK2,X73) )
| ~ spl119_6
| ~ spl119_9
| ~ spl119_30
| ~ spl119_56
| spl119_133
| spl119_241
| spl119_242 ),
inference(subsumption_resolution,[],[f44217,f12259]) ).
fof(f12259,plain,
( v0 != sF118
| spl119_242 ),
inference(avatar_component_clause,[],[f12257]) ).
fof(f44217,plain,
( ! [X73] :
( v0 = sF118
| ~ ron(vd1289,X73)
| ~ rline(X73)
| vd1329 = sK2
| ~ ron(vd1329,X73)
| ~ ron(sK2,X73) )
| ~ spl119_6
| ~ spl119_9
| ~ spl119_30
| ~ spl119_56
| spl119_133
| spl119_241 ),
inference(subsumption_resolution,[],[f44216,f3360]) ).
fof(f44216,plain,
( ! [X73] :
( v0 = sF118
| ~ ron(vd1289,X73)
| ~ rline(X73)
| vd1329 = sK2
| vd1289 = vd1329
| ~ ron(vd1329,X73)
| ~ ron(sK2,X73) )
| ~ spl119_6
| ~ spl119_9
| ~ spl119_30
| ~ spl119_56
| spl119_241 ),
inference(subsumption_resolution,[],[f44215,f2062]) ).
fof(f44215,plain,
( ! [X73] :
( v0 = sF118
| ~ ron(vd1289,X73)
| ~ rpoint(vd1289)
| ~ rline(X73)
| vd1329 = sK2
| vd1289 = vd1329
| ~ ron(vd1329,X73)
| ~ ron(sK2,X73) )
| ~ spl119_6
| ~ spl119_9
| ~ spl119_56
| spl119_241 ),
inference(subsumption_resolution,[],[f44214,f1945]) ).
fof(f44214,plain,
( ! [X73] :
( v0 = sF118
| ~ ron(vd1289,X73)
| ~ rpoint(sK2)
| ~ rpoint(vd1289)
| ~ rline(X73)
| vd1329 = sK2
| vd1289 = vd1329
| ~ ron(vd1329,X73)
| ~ ron(sK2,X73) )
| ~ spl119_6
| ~ spl119_56
| spl119_241 ),
inference(subsumption_resolution,[],[f44213,f1930]) ).
fof(f44213,plain,
( ! [X73] :
( v0 = sF118
| ~ ron(vd1289,X73)
| ~ rpoint(vd1329)
| ~ rpoint(sK2)
| ~ rpoint(vd1289)
| ~ rline(X73)
| vd1329 = sK2
| vd1289 = vd1329
| ~ ron(vd1329,X73)
| ~ ron(sK2,X73) )
| ~ spl119_56
| spl119_241 ),
inference(subsumption_resolution,[],[f44026,f12255]) ).
fof(f12255,plain,
( ~ rR(vd1329,sK2,vd1289)
| spl119_241 ),
inference(avatar_component_clause,[],[f12253]) ).
fof(f44026,plain,
( ! [X73] :
( v0 = sF118
| ~ ron(vd1289,X73)
| rR(vd1329,sK2,vd1289)
| ~ rpoint(vd1329)
| ~ rpoint(sK2)
| ~ rpoint(vd1289)
| ~ rline(X73)
| vd1329 = sK2
| vd1289 = vd1329
| ~ ron(vd1329,X73)
| ~ ron(sK2,X73) )
| ~ spl119_56 ),
inference(superposition,[],[f1687,f2209]) ).
fof(f2209,plain,
( sF118 = vangle(sK2,vd1329,vd1289)
| ~ spl119_56 ),
inference(avatar_component_clause,[],[f2207]) ).
fof(f60276,plain,
( ~ spl119_3
| ~ spl119_5
| ~ spl119_7
| ~ spl119_26
| ~ spl119_33
| ~ spl119_43
| ~ spl119_257
| spl119_281 ),
inference(avatar_contradiction_clause,[],[f60235]) ).
fof(f60235,plain,
( $false
| ~ spl119_3
| ~ spl119_5
| ~ spl119_7
| ~ spl119_26
| ~ spl119_33
| ~ spl119_43
| ~ spl119_257
| spl119_281 ),
inference(unit_resulting_resolution,[],[f1915,f2038,f2135,f30135,f1935,f2078,f1925,f26448,f1286]) ).
fof(f1286,plain,
! [X6,X7,X4,X5] :
( ~ rR(X6,X5,X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ron(X7,X4)
| ~ ron(X5,X4)
| ~ ron(X6,X4) ),
inference(equality_resolution,[],[f1285]) ).
fof(f1285,plain,
! [X3,X6,X7,X4,X5] :
( ron(X7,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ~ rR(X6,X5,X7)
| ~ ron(X5,X3)
| ~ ron(X6,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f1284]) ).
fof(f1284,plain,
! [X2,X3,X6,X7,X4,X5] :
( ron(X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| ~ rR(X6,X5,X2)
| ~ ron(X5,X3)
| ~ ron(X6,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f1283]) ).
fof(f1283,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ron(X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| ~ rR(X1,X5,X2)
| ~ ron(X5,X3)
| ~ ron(X1,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f875]) ).
fof(f875,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X2,X3)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| X3 != X4 ),
inference(cnf_transformation,[],[f451]) ).
fof(f451,plain,
! [X0,X1,X2,X3,X4] :
( ron(X2,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| X3 != X4 ),
inference(flattening,[],[f450]) ).
fof(f450,plain,
! [X0,X1,X2,X3,X4] :
( ron(X2,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| X3 != X4 ),
inference(ennf_transformation,[],[f250]) ).
fof(f250,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& rline(X4)
& rR(X1,X0,X2)
& ron(X0,X3)
& ron(X1,X3)
& X3 = X4 )
=> ron(X2,X3) ),
inference(rectify,[],[f91]) ).
fof(f91,axiom,
! [X113,X114,X115,X116,X117] :
( ( ? [X120] :
( rpoint(X120)
& X113 = X120 )
& ? [X119] :
( rpoint(X119)
& X114 = X119 )
& ? [X118] :
( rpoint(X118)
& X115 = X118 )
& rline(X117)
& rR(X114,X113,X115)
& ron(X113,X116)
& ron(X114,X116)
& X116 = X117 )
=> ron(X115,X116) ),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))') ).
fof(f26448,plain,
( rR(vd1287,vd1300,vd1303)
| ~ spl119_257 ),
inference(avatar_component_clause,[],[f26447]) ).
fof(f26447,plain,
( spl119_257
<=> rR(vd1287,vd1300,vd1303) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_257])]) ).
fof(f30135,plain,
( ~ ron(vd1303,vd1295)
| spl119_281 ),
inference(avatar_component_clause,[],[f30134]) ).
fof(f2135,plain,
( ron(vd1300,vd1295)
| ~ spl119_43 ),
inference(avatar_component_clause,[],[f2133]) ).
fof(f2133,plain,
( spl119_43
<=> ron(vd1300,vd1295) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_43])]) ).
fof(f60104,plain,
( ~ spl119_3
| ~ spl119_6
| ~ spl119_7
| ~ spl119_20
| ~ spl119_26
| ~ spl119_33
| ~ spl119_251
| spl119_281 ),
inference(avatar_contradiction_clause,[],[f60069]) ).
fof(f60069,plain,
( $false
| ~ spl119_3
| ~ spl119_6
| ~ spl119_7
| ~ spl119_20
| ~ spl119_26
| ~ spl119_33
| ~ spl119_251
| spl119_281 ),
inference(unit_resulting_resolution,[],[f1915,f2038,f2003,f30135,f1935,f2078,f1930,f20752,f1286]) ).
fof(f20752,plain,
( rR(vd1287,vd1329,vd1303)
| ~ spl119_251 ),
inference(avatar_component_clause,[],[f20751]) ).
fof(f20751,plain,
( spl119_251
<=> rR(vd1287,vd1329,vd1303) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_251])]) ).
fof(f59514,plain,
( ~ spl119_2
| ~ spl119_22
| ~ spl119_25
| ~ spl119_373
| ~ spl119_386 ),
inference(avatar_contradiction_clause,[],[f59513]) ).
fof(f59513,plain,
( $false
| ~ spl119_2
| ~ spl119_22
| ~ spl119_25
| ~ spl119_373
| ~ spl119_386 ),
inference(subsumption_resolution,[],[f59512,f2032]) ).
fof(f59512,plain,
( ~ ron(vd1287,vd1297)
| ~ spl119_2
| ~ spl119_22
| ~ spl119_373
| ~ spl119_386 ),
inference(subsumption_resolution,[],[f59511,f1910]) ).
fof(f59511,plain,
( ~ rline(vd1297)
| ~ ron(vd1287,vd1297)
| ~ spl119_22
| ~ spl119_373
| ~ spl119_386 ),
inference(subsumption_resolution,[],[f59499,f2015]) ).
fof(f59499,plain,
( ~ ron(vd1289,vd1297)
| ~ rline(vd1297)
| ~ ron(vd1287,vd1297)
| ~ spl119_373
| ~ spl119_386 ),
inference(resolution,[],[f53607,f54586]) ).
fof(f54586,plain,
( ! [X0] :
( ~ ron(vd1300,X0)
| ~ ron(vd1289,X0)
| ~ rline(X0)
| ~ ron(vd1287,X0) )
| ~ spl119_386 ),
inference(avatar_component_clause,[],[f54585]) ).
fof(f54585,plain,
( spl119_386
<=> ! [X0] :
( ~ rline(X0)
| ~ ron(vd1289,X0)
| ~ ron(vd1300,X0)
| ~ ron(vd1287,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_386])]) ).
fof(f53607,plain,
( ron(vd1300,vd1297)
| ~ spl119_373 ),
inference(avatar_component_clause,[],[f53606]) ).
fof(f53606,plain,
( spl119_373
<=> ron(vd1300,vd1297) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_373])]) ).
fof(f59079,plain,
( ~ spl119_6
| ~ spl119_30
| spl119_133
| spl119_430 ),
inference(avatar_contradiction_clause,[],[f59078]) ).
fof(f59078,plain,
( $false
| ~ spl119_6
| ~ spl119_30
| spl119_133
| spl119_430 ),
inference(subsumption_resolution,[],[f59077,f3360]) ).
fof(f59077,plain,
( vd1289 = vd1329
| ~ spl119_6
| ~ spl119_30
| spl119_430 ),
inference(subsumption_resolution,[],[f59076,f2062]) ).
fof(f59076,plain,
( ~ rpoint(vd1289)
| vd1289 = vd1329
| ~ spl119_6
| spl119_430 ),
inference(subsumption_resolution,[],[f59074,f1930]) ).
fof(f59074,plain,
( ~ rpoint(vd1329)
| ~ rpoint(vd1289)
| vd1289 = vd1329
| spl119_430 ),
inference(resolution,[],[f59071,f1005]) ).
fof(f1005,plain,
! [X3,X4] :
( rline(sK7(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f1004]) ).
fof(f1004,plain,
! [X3,X1,X4] :
( rline(sK7(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f762]) ).
fof(f762,plain,
! [X3,X0,X1,X4] :
( rline(sK7(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f557]) ).
fof(f59071,plain,
( ~ rline(sK7(vd1329,vd1289))
| spl119_430 ),
inference(avatar_component_clause,[],[f59069]) ).
fof(f54818,plain,
( spl119_387
| spl119_217
| ~ spl119_7
| ~ spl119_9
| ~ spl119_30
| ~ spl119_55
| spl119_155
| spl119_215
| spl119_216 ),
inference(avatar_split_clause,[],[f43782,f10689,f10685,f6328,f2202,f2060,f1943,f1933,f10693,f54816]) ).
fof(f10693,plain,
( spl119_217
<=> v0 = sF117 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_217])]) ).
fof(f2202,plain,
( spl119_55
<=> sF117 = vangle(vd1289,vd1303,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_55])]) ).
fof(f6328,plain,
( spl119_155
<=> vd1289 = vd1303 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_155])]) ).
fof(f43782,plain,
( ! [X48] :
( v0 = sF117
| ~ ron(sK2,X48)
| ~ rline(X48)
| ~ ron(vd1303,X48)
| ~ ron(vd1289,X48) )
| ~ spl119_7
| ~ spl119_9
| ~ spl119_30
| ~ spl119_55
| spl119_155
| spl119_215
| spl119_216 ),
inference(subsumption_resolution,[],[f43781,f10686]) ).
fof(f43781,plain,
( ! [X48] :
( v0 = sF117
| ~ ron(sK2,X48)
| ~ rline(X48)
| vd1303 = sK2
| ~ ron(vd1303,X48)
| ~ ron(vd1289,X48) )
| ~ spl119_7
| ~ spl119_9
| ~ spl119_30
| ~ spl119_55
| spl119_155
| spl119_216 ),
inference(subsumption_resolution,[],[f43780,f6330]) ).
fof(f6330,plain,
( vd1289 != vd1303
| spl119_155 ),
inference(avatar_component_clause,[],[f6328]) ).
fof(f43780,plain,
( ! [X48] :
( v0 = sF117
| ~ ron(sK2,X48)
| ~ rline(X48)
| vd1289 = vd1303
| vd1303 = sK2
| ~ ron(vd1303,X48)
| ~ ron(vd1289,X48) )
| ~ spl119_7
| ~ spl119_9
| ~ spl119_30
| ~ spl119_55
| spl119_216 ),
inference(subsumption_resolution,[],[f43779,f1945]) ).
fof(f43779,plain,
( ! [X48] :
( v0 = sF117
| ~ ron(sK2,X48)
| ~ rpoint(sK2)
| ~ rline(X48)
| vd1289 = vd1303
| vd1303 = sK2
| ~ ron(vd1303,X48)
| ~ ron(vd1289,X48) )
| ~ spl119_7
| ~ spl119_30
| ~ spl119_55
| spl119_216 ),
inference(subsumption_resolution,[],[f43778,f2062]) ).
fof(f43778,plain,
( ! [X48] :
( v0 = sF117
| ~ ron(sK2,X48)
| ~ rpoint(vd1289)
| ~ rpoint(sK2)
| ~ rline(X48)
| vd1289 = vd1303
| vd1303 = sK2
| ~ ron(vd1303,X48)
| ~ ron(vd1289,X48) )
| ~ spl119_7
| ~ spl119_55
| spl119_216 ),
inference(subsumption_resolution,[],[f43777,f1935]) ).
fof(f43777,plain,
( ! [X48] :
( v0 = sF117
| ~ ron(sK2,X48)
| ~ rpoint(vd1303)
| ~ rpoint(vd1289)
| ~ rpoint(sK2)
| ~ rline(X48)
| vd1289 = vd1303
| vd1303 = sK2
| ~ ron(vd1303,X48)
| ~ ron(vd1289,X48) )
| ~ spl119_55
| spl119_216 ),
inference(subsumption_resolution,[],[f43655,f10691]) ).
fof(f10691,plain,
( ~ rR(vd1303,vd1289,sK2)
| spl119_216 ),
inference(avatar_component_clause,[],[f10689]) ).
fof(f43655,plain,
( ! [X48] :
( v0 = sF117
| ~ ron(sK2,X48)
| rR(vd1303,vd1289,sK2)
| ~ rpoint(vd1303)
| ~ rpoint(vd1289)
| ~ rpoint(sK2)
| ~ rline(X48)
| vd1289 = vd1303
| vd1303 = sK2
| ~ ron(vd1303,X48)
| ~ ron(vd1289,X48) )
| ~ spl119_55 ),
inference(superposition,[],[f2204,f1687]) ).
fof(f2204,plain,
( sF117 = vangle(vd1289,vd1303,sK2)
| ~ spl119_55 ),
inference(avatar_component_clause,[],[f2202]) ).
fof(f54587,plain,
( spl119_386
| spl119_322
| ~ spl119_5
| spl119_14
| ~ spl119_30
| ~ spl119_33
| spl119_74
| spl119_157
| spl119_235
| spl119_248 ),
inference(avatar_split_clause,[],[f43460,f17520,f11764,f6345,f2437,f2076,f2060,f1969,f1923,f34286,f54585]) ).
fof(f34286,plain,
( spl119_322
<=> vd1289 = vd1300 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_322])]) ).
fof(f2437,plain,
( spl119_74
<=> vd1287 = vd1300 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_74])]) ).
fof(f11764,plain,
( spl119_235
<=> rR(vd1300,vd1287,vd1289) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_235])]) ).
fof(f17520,plain,
( spl119_248
<=> rR(vd1287,vd1300,vd1289) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_248])]) ).
fof(f43460,plain,
( ! [X0] :
( vd1289 = vd1300
| ~ rline(X0)
| ~ ron(vd1287,X0)
| ~ ron(vd1300,X0)
| ~ ron(vd1289,X0) )
| ~ spl119_5
| spl119_14
| ~ spl119_30
| ~ spl119_33
| spl119_74
| spl119_157
| spl119_235
| spl119_248 ),
inference(subsumption_resolution,[],[f43459,f1971]) ).
fof(f43459,plain,
( ! [X0] :
( vd1289 = vd1287
| vd1289 = vd1300
| ~ rline(X0)
| ~ ron(vd1287,X0)
| ~ ron(vd1300,X0)
| ~ ron(vd1289,X0) )
| ~ spl119_5
| ~ spl119_30
| ~ spl119_33
| spl119_74
| spl119_157
| spl119_235
| spl119_248 ),
inference(subsumption_resolution,[],[f43458,f2439]) ).
fof(f2439,plain,
( vd1287 != vd1300
| spl119_74 ),
inference(avatar_component_clause,[],[f2437]) ).
fof(f43458,plain,
( ! [X0] :
( vd1287 = vd1300
| vd1289 = vd1287
| vd1289 = vd1300
| ~ rline(X0)
| ~ ron(vd1287,X0)
| ~ ron(vd1300,X0)
| ~ ron(vd1289,X0) )
| ~ spl119_5
| ~ spl119_30
| ~ spl119_33
| spl119_157
| spl119_235
| spl119_248 ),
inference(subsumption_resolution,[],[f43457,f2062]) ).
fof(f43457,plain,
( ! [X0] :
( ~ rpoint(vd1289)
| vd1287 = vd1300
| vd1289 = vd1287
| vd1289 = vd1300
| ~ rline(X0)
| ~ ron(vd1287,X0)
| ~ ron(vd1300,X0)
| ~ ron(vd1289,X0) )
| ~ spl119_5
| ~ spl119_33
| spl119_157
| spl119_235
| spl119_248 ),
inference(subsumption_resolution,[],[f43456,f1925]) ).
fof(f43456,plain,
( ! [X0] :
( ~ rpoint(vd1300)
| ~ rpoint(vd1289)
| vd1287 = vd1300
| vd1289 = vd1287
| vd1289 = vd1300
| ~ rline(X0)
| ~ ron(vd1287,X0)
| ~ ron(vd1300,X0)
| ~ ron(vd1289,X0) )
| ~ spl119_33
| spl119_157
| spl119_235
| spl119_248 ),
inference(subsumption_resolution,[],[f43455,f2078]) ).
fof(f43455,plain,
( ! [X0] :
( ~ rpoint(vd1287)
| ~ rpoint(vd1300)
| ~ rpoint(vd1289)
| vd1287 = vd1300
| vd1289 = vd1287
| vd1289 = vd1300
| ~ rline(X0)
| ~ ron(vd1287,X0)
| ~ ron(vd1300,X0)
| ~ ron(vd1289,X0) )
| spl119_157
| spl119_235
| spl119_248 ),
inference(subsumption_resolution,[],[f43454,f11766]) ).
fof(f11766,plain,
( ~ rR(vd1300,vd1287,vd1289)
| spl119_235 ),
inference(avatar_component_clause,[],[f11764]) ).
fof(f43454,plain,
( ! [X0] :
( rR(vd1300,vd1287,vd1289)
| ~ rpoint(vd1287)
| ~ rpoint(vd1300)
| ~ rpoint(vd1289)
| vd1287 = vd1300
| vd1289 = vd1287
| vd1289 = vd1300
| ~ rline(X0)
| ~ ron(vd1287,X0)
| ~ ron(vd1300,X0)
| ~ ron(vd1289,X0) )
| spl119_157
| spl119_248 ),
inference(subsumption_resolution,[],[f43450,f17522]) ).
fof(f17522,plain,
( ~ rR(vd1287,vd1300,vd1289)
| spl119_248 ),
inference(avatar_component_clause,[],[f17520]) ).
fof(f43450,plain,
( ! [X0] :
( rR(vd1287,vd1300,vd1289)
| rR(vd1300,vd1287,vd1289)
| ~ rpoint(vd1287)
| ~ rpoint(vd1300)
| ~ rpoint(vd1289)
| vd1287 = vd1300
| vd1289 = vd1287
| vd1289 = vd1300
| ~ rline(X0)
| ~ ron(vd1287,X0)
| ~ ron(vd1300,X0)
| ~ ron(vd1289,X0) )
| spl119_157 ),
inference(resolution,[],[f6346,f1278]) ).
fof(f53821,plain,
( ~ spl119_378
| ~ spl119_2
| ~ spl119_5
| ~ spl119_9
| ~ spl119_25
| ~ spl119_33
| ~ spl119_54
| spl119_373 ),
inference(avatar_split_clause,[],[f53770,f53606,f2194,f2076,f2030,f1943,f1923,f1908,f53818]) ).
fof(f53770,plain,
( ~ ron(sK2,vd1297)
| ~ spl119_2
| ~ spl119_5
| ~ spl119_9
| ~ spl119_25
| ~ spl119_33
| ~ spl119_54
| spl119_373 ),
inference(subsumption_resolution,[],[f53769,f2032]) ).
fof(f53769,plain,
( ~ ron(vd1287,vd1297)
| ~ ron(sK2,vd1297)
| ~ spl119_2
| ~ spl119_5
| ~ spl119_9
| ~ spl119_33
| ~ spl119_54
| spl119_373 ),
inference(subsumption_resolution,[],[f53761,f1910]) ).
fof(f53761,plain,
( ~ rline(vd1297)
| ~ ron(vd1287,vd1297)
| ~ ron(sK2,vd1297)
| ~ spl119_5
| ~ spl119_9
| ~ spl119_33
| ~ spl119_54
| spl119_373 ),
inference(resolution,[],[f53608,f8840]) ).
fof(f8840,plain,
( ! [X0] :
( ron(vd1300,X0)
| ~ rline(X0)
| ~ ron(vd1287,X0)
| ~ ron(sK2,X0) )
| ~ spl119_5
| ~ spl119_9
| ~ spl119_33
| ~ spl119_54 ),
inference(subsumption_resolution,[],[f8839,f1925]) ).
fof(f8839,plain,
( ! [X0] :
( ~ rpoint(vd1300)
| ~ rline(X0)
| ron(vd1300,X0)
| ~ ron(vd1287,X0)
| ~ ron(sK2,X0) )
| ~ spl119_9
| ~ spl119_33
| ~ spl119_54 ),
inference(subsumption_resolution,[],[f8838,f1945]) ).
fof(f8838,plain,
( ! [X0] :
( ~ rpoint(sK2)
| ~ rpoint(vd1300)
| ~ rline(X0)
| ron(vd1300,X0)
| ~ ron(vd1287,X0)
| ~ ron(sK2,X0) )
| ~ spl119_33
| ~ spl119_54 ),
inference(subsumption_resolution,[],[f8820,f2078]) ).
fof(f8820,plain,
( ! [X0] :
( ~ rpoint(vd1287)
| ~ rpoint(sK2)
| ~ rpoint(vd1300)
| ~ rline(X0)
| ron(vd1300,X0)
| ~ ron(vd1287,X0)
| ~ ron(sK2,X0) )
| ~ spl119_54 ),
inference(resolution,[],[f1286,f2196]) ).
fof(f53608,plain,
( ~ ron(vd1300,vd1297)
| spl119_373 ),
inference(avatar_component_clause,[],[f53606]) ).
fof(f53715,plain,
( ~ spl119_3
| ~ spl119_5
| ~ spl119_7
| ~ spl119_26
| ~ spl119_33
| ~ spl119_43
| spl119_281
| ~ spl119_290 ),
inference(avatar_contradiction_clause,[],[f53696]) ).
fof(f53696,plain,
( $false
| ~ spl119_3
| ~ spl119_5
| ~ spl119_7
| ~ spl119_26
| ~ spl119_33
| ~ spl119_43
| spl119_281
| ~ spl119_290 ),
inference(unit_resulting_resolution,[],[f1915,f2135,f2038,f30135,f1935,f1925,f2078,f30302,f1286]) ).
fof(f30302,plain,
( rR(vd1300,vd1287,vd1303)
| ~ spl119_290 ),
inference(avatar_component_clause,[],[f30301]) ).
fof(f30301,plain,
( spl119_290
<=> rR(vd1300,vd1287,vd1303) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_290])]) ).
fof(f53622,plain,
( vd1299 != vd1300
| vd1300 != vd1303
| ~ ron(vd1299,vd1295)
| ron(vd1303,vd1295) ),
introduced(theory_tautology_sat_conflict,[]) ).
fof(f53609,plain,
( ~ spl119_373
| ~ spl119_2
| ~ spl119_5
| ~ spl119_7
| ~ spl119_25
| ~ spl119_33
| ~ spl119_44
| spl119_45
| spl119_74
| spl119_257
| spl119_283
| spl119_290
| spl119_334 ),
inference(avatar_split_clause,[],[f53602,f34740,f30301,f30152,f26447,f2437,f2143,f2138,f2076,f2030,f1933,f1923,f1908,f53606]) ).
fof(f30152,plain,
( spl119_283
<=> rR(vd1303,vd1287,vd1300) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_283])]) ).
fof(f34740,plain,
( spl119_334
<=> vd1300 = vd1303 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_334])]) ).
fof(f53602,plain,
( ~ ron(vd1300,vd1297)
| ~ spl119_2
| ~ spl119_5
| ~ spl119_7
| ~ spl119_25
| ~ spl119_33
| ~ spl119_44
| spl119_45
| spl119_74
| spl119_257
| spl119_283
| spl119_290
| spl119_334 ),
inference(subsumption_resolution,[],[f53601,f1910]) ).
fof(f53601,plain,
( ~ ron(vd1300,vd1297)
| ~ rline(vd1297)
| ~ spl119_5
| ~ spl119_7
| ~ spl119_25
| ~ spl119_33
| ~ spl119_44
| spl119_45
| spl119_74
| spl119_257
| spl119_283
| spl119_290
| spl119_334 ),
inference(subsumption_resolution,[],[f53592,f2032]) ).
fof(f53592,plain,
( ~ ron(vd1287,vd1297)
| ~ ron(vd1300,vd1297)
| ~ rline(vd1297)
| ~ spl119_5
| ~ spl119_7
| ~ spl119_33
| ~ spl119_44
| spl119_45
| spl119_74
| spl119_257
| spl119_283
| spl119_290
| spl119_334 ),
inference(resolution,[],[f43481,f2140]) ).
fof(f43481,plain,
( ! [X0] :
( ~ ron(vd1303,X0)
| ~ ron(vd1287,X0)
| ~ ron(vd1300,X0)
| ~ rline(X0) )
| ~ spl119_5
| ~ spl119_7
| ~ spl119_33
| spl119_45
| spl119_74
| spl119_257
| spl119_283
| spl119_290
| spl119_334 ),
inference(subsumption_resolution,[],[f43480,f34741]) ).
fof(f34741,plain,
( vd1300 != vd1303
| spl119_334 ),
inference(avatar_component_clause,[],[f34740]) ).
fof(f43480,plain,
( ! [X0] :
( vd1300 = vd1303
| ~ rline(X0)
| ~ ron(vd1287,X0)
| ~ ron(vd1300,X0)
| ~ ron(vd1303,X0) )
| ~ spl119_5
| ~ spl119_7
| ~ spl119_33
| spl119_45
| spl119_74
| spl119_257
| spl119_283
| spl119_290 ),
inference(subsumption_resolution,[],[f43479,f2145]) ).
fof(f43479,plain,
( ! [X0] :
( vd1287 = vd1303
| vd1300 = vd1303
| ~ rline(X0)
| ~ ron(vd1287,X0)
| ~ ron(vd1300,X0)
| ~ ron(vd1303,X0) )
| ~ spl119_5
| ~ spl119_7
| ~ spl119_33
| spl119_74
| spl119_257
| spl119_283
| spl119_290 ),
inference(subsumption_resolution,[],[f43478,f2439]) ).
fof(f43478,plain,
( ! [X0] :
( vd1287 = vd1300
| vd1287 = vd1303
| vd1300 = vd1303
| ~ rline(X0)
| ~ ron(vd1287,X0)
| ~ ron(vd1300,X0)
| ~ ron(vd1303,X0) )
| ~ spl119_5
| ~ spl119_7
| ~ spl119_33
| spl119_257
| spl119_283
| spl119_290 ),
inference(subsumption_resolution,[],[f43477,f1935]) ).
fof(f43477,plain,
( ! [X0] :
( ~ rpoint(vd1303)
| vd1287 = vd1300
| vd1287 = vd1303
| vd1300 = vd1303
| ~ rline(X0)
| ~ ron(vd1287,X0)
| ~ ron(vd1300,X0)
| ~ ron(vd1303,X0) )
| ~ spl119_5
| ~ spl119_33
| spl119_257
| spl119_283
| spl119_290 ),
inference(subsumption_resolution,[],[f43476,f1925]) ).
fof(f43476,plain,
( ! [X0] :
( ~ rpoint(vd1300)
| ~ rpoint(vd1303)
| vd1287 = vd1300
| vd1287 = vd1303
| vd1300 = vd1303
| ~ rline(X0)
| ~ ron(vd1287,X0)
| ~ ron(vd1300,X0)
| ~ ron(vd1303,X0) )
| ~ spl119_33
| spl119_257
| spl119_283
| spl119_290 ),
inference(subsumption_resolution,[],[f43475,f2078]) ).
fof(f43475,plain,
( ! [X0] :
( ~ rpoint(vd1287)
| ~ rpoint(vd1300)
| ~ rpoint(vd1303)
| vd1287 = vd1300
| vd1287 = vd1303
| vd1300 = vd1303
| ~ rline(X0)
| ~ ron(vd1287,X0)
| ~ ron(vd1300,X0)
| ~ ron(vd1303,X0) )
| spl119_257
| spl119_283
| spl119_290 ),
inference(subsumption_resolution,[],[f43474,f30303]) ).
fof(f30303,plain,
( ~ rR(vd1300,vd1287,vd1303)
| spl119_290 ),
inference(avatar_component_clause,[],[f30301]) ).
fof(f43474,plain,
( ! [X0] :
( rR(vd1300,vd1287,vd1303)
| ~ rpoint(vd1287)
| ~ rpoint(vd1300)
| ~ rpoint(vd1303)
| vd1287 = vd1300
| vd1287 = vd1303
| vd1300 = vd1303
| ~ rline(X0)
| ~ ron(vd1287,X0)
| ~ ron(vd1300,X0)
| ~ ron(vd1303,X0) )
| spl119_257
| spl119_283 ),
inference(subsumption_resolution,[],[f43470,f26449]) ).
fof(f26449,plain,
( ~ rR(vd1287,vd1300,vd1303)
| spl119_257 ),
inference(avatar_component_clause,[],[f26447]) ).
fof(f43470,plain,
( ! [X0] :
( rR(vd1287,vd1300,vd1303)
| rR(vd1300,vd1287,vd1303)
| ~ rpoint(vd1287)
| ~ rpoint(vd1300)
| ~ rpoint(vd1303)
| vd1287 = vd1300
| vd1287 = vd1303
| vd1300 = vd1303
| ~ rline(X0)
| ~ ron(vd1287,X0)
| ~ ron(vd1300,X0)
| ~ ron(vd1303,X0) )
| spl119_283 ),
inference(resolution,[],[f30153,f1278]) ).
fof(f30153,plain,
( ~ rR(vd1303,vd1287,vd1300)
| spl119_283 ),
inference(avatar_component_clause,[],[f30152]) ).
fof(f48990,plain,
( ~ spl119_3
| ~ spl119_9
| spl119_14
| ~ spl119_26
| ~ spl119_30
| ~ spl119_33
| ~ spl119_48
| spl119_49
| spl119_154
| ~ spl119_370 ),
inference(avatar_contradiction_clause,[],[f48930]) ).
fof(f48930,plain,
( $false
| ~ spl119_3
| ~ spl119_9
| spl119_14
| ~ spl119_26
| ~ spl119_30
| ~ spl119_33
| ~ spl119_48
| spl119_49
| spl119_154
| ~ spl119_370 ),
inference(unit_resulting_resolution,[],[f2078,f1915,f2160,f2038,f6316,f2062,f1945,f1971,f2165,f48677,f1679]) ).
fof(f1679,plain,
! [X3,X1,X7,X5] :
( v0 != vangle(X3,X1,X5)
| ron(X5,X7)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rline(X7)
| X1 = X3
| X1 = X5
| ~ ron(X1,X7)
| ~ ron(X3,X7) ),
inference(equality_resolution,[],[f1678]) ).
fof(f1678,plain,
! [X3,X1,X6,X7,X5] :
( ron(X5,X6)
| v0 != vangle(X3,X1,X5)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rline(X7)
| X6 != X7
| X1 = X3
| X1 = X5
| ~ ron(X1,X6)
| ~ ron(X3,X6) ),
inference(equality_resolution,[],[f1677]) ).
fof(f1677,plain,
! [X3,X1,X6,X7,X4,X5] :
( ron(X4,X6)
| v0 != vangle(X3,X1,X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X1 = X3
| X1 = X4
| ~ ron(X1,X6)
| ~ ron(X3,X6) ),
inference(equality_resolution,[],[f1676]) ).
fof(f1676,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ron(X4,X6)
| v0 != vangle(X2,X1,X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X1 = X2
| X1 = X4
| ~ ron(X1,X6)
| ~ ron(X2,X6) ),
inference(equality_resolution,[],[f968]) ).
fof(f968,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X4,X6)
| v0 != vangle(X2,X0,X4)
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(cnf_transformation,[],[f660]) ).
fof(f48677,plain,
( v0 = vangle(sK2,vd1287,vd1289)
| ~ spl119_370 ),
inference(avatar_component_clause,[],[f48675]) ).
fof(f48675,plain,
( spl119_370
<=> v0 = vangle(sK2,vd1287,vd1289) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_370])]) ).
fof(f6316,plain,
( ~ ron(vd1289,vd1295)
| spl119_154 ),
inference(avatar_component_clause,[],[f6315]) ).
fof(f48681,plain,
( spl119_370
| ~ spl119_9
| ~ spl119_30
| ~ spl119_33
| spl119_47
| spl119_49
| ~ spl119_369 ),
inference(avatar_split_clause,[],[f47986,f47505,f2163,f2153,f2076,f2060,f1943,f48675]) ).
fof(f2153,plain,
( spl119_47
<=> vd1289 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_47])]) ).
fof(f47505,plain,
( spl119_369
<=> v0 = vangle(vd1289,vd1287,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_369])]) ).
fof(f47986,plain,
( v0 = vangle(sK2,vd1287,vd1289)
| ~ spl119_9
| ~ spl119_30
| ~ spl119_33
| spl119_47
| spl119_49
| ~ spl119_369 ),
inference(subsumption_resolution,[],[f47985,f2155]) ).
fof(f2155,plain,
( vd1289 != sK2
| spl119_47 ),
inference(avatar_component_clause,[],[f2153]) ).
fof(f47985,plain,
( v0 = vangle(sK2,vd1287,vd1289)
| vd1289 = sK2
| ~ spl119_9
| ~ spl119_30
| ~ spl119_33
| spl119_49
| ~ spl119_369 ),
inference(subsumption_resolution,[],[f47984,f2165]) ).
fof(f47984,plain,
( v0 = vangle(sK2,vd1287,vd1289)
| vd1287 = sK2
| vd1289 = sK2
| ~ spl119_9
| ~ spl119_30
| ~ spl119_33
| ~ spl119_369 ),
inference(subsumption_resolution,[],[f47983,f2062]) ).
fof(f47983,plain,
( v0 = vangle(sK2,vd1287,vd1289)
| ~ rpoint(vd1289)
| vd1287 = sK2
| vd1289 = sK2
| ~ spl119_9
| ~ spl119_33
| ~ spl119_369 ),
inference(subsumption_resolution,[],[f47982,f2078]) ).
fof(f47982,plain,
( v0 = vangle(sK2,vd1287,vd1289)
| ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| vd1287 = sK2
| vd1289 = sK2
| ~ spl119_9
| ~ spl119_369 ),
inference(subsumption_resolution,[],[f47846,f1945]) ).
fof(f47846,plain,
( v0 = vangle(sK2,vd1287,vd1289)
| ~ rpoint(sK2)
| ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| vd1287 = sK2
| vd1289 = sK2
| ~ spl119_369 ),
inference(superposition,[],[f1058,f47507]) ).
fof(f47507,plain,
( v0 = vangle(vd1289,vd1287,sK2)
| ~ spl119_369 ),
inference(avatar_component_clause,[],[f47505]) ).
fof(f1058,plain,
! [X3,X4,X5] :
( vangle(X3,X4,X5) = vangle(X5,X4,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X3 = X4
| X3 = X5 ),
inference(equality_resolution,[],[f1057]) ).
fof(f1057,plain,
! [X2,X3,X4,X5] :
( vangle(X3,X4,X2) = vangle(X2,X4,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X2 != X5
| X3 = X4
| X2 = X3 ),
inference(equality_resolution,[],[f1056]) ).
fof(f1056,plain,
! [X2,X3,X1,X4,X5] :
( vangle(X3,X1,X2) = vangle(X2,X1,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| X1 = X3
| X2 = X3 ),
inference(equality_resolution,[],[f792]) ).
fof(f792,plain,
! [X2,X3,X0,X1,X4,X5] :
( vangle(X0,X1,X2) = vangle(X2,X1,X0)
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| X0 = X1
| X0 = X2 ),
inference(cnf_transformation,[],[f369]) ).
fof(f369,plain,
! [X0,X1,X2] :
( vangle(X0,X1,X2) = vangle(X2,X1,X0)
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| X0 = X1
| X0 = X2 ),
inference(flattening,[],[f368]) ).
fof(f368,plain,
! [X0,X1,X2] :
( vangle(X0,X1,X2) = vangle(X2,X1,X0)
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| X0 = X1
| X0 = X2 ),
inference(ennf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( rpoint(X3)
& X0 = X3 )
& ? [X4] :
( rpoint(X4)
& X1 = X4 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& X0 != X1
& X0 != X2 )
=> vangle(X0,X1,X2) = vangle(X2,X1,X0) ),
inference(rectify,[],[f98]) ).
fof(f98,axiom,
! [X142,X143,X144] :
( ( ? [X147] :
( rpoint(X147)
& X142 = X147 )
& ? [X146] :
( rpoint(X146)
& X143 = X146 )
& ? [X145] :
( rpoint(X145)
& X144 = X145 )
& X142 != X143
& X142 != X144 )
=> vangle(X142,X143,X144) = vangle(X144,X143,X142) ),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))') ).
fof(f47508,plain,
( spl119_369
| ~ spl119_70
| ~ spl119_221 ),
inference(avatar_split_clause,[],[f47169,f11016,f2396,f47505]) ).
fof(f2396,plain,
( spl119_70
<=> vangle(vd1289,vd1287,sK2) = vangle(vd1303,vd1287,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_70])]) ).
fof(f47169,plain,
( v0 = vangle(vd1289,vd1287,sK2)
| ~ spl119_70
| ~ spl119_221 ),
inference(backward_demodulation,[],[f2398,f11017]) ).
fof(f11017,plain,
( v0 = vangle(vd1303,vd1287,sK2)
| ~ spl119_221 ),
inference(avatar_component_clause,[],[f11016]) ).
fof(f2398,plain,
( vangle(vd1289,vd1287,sK2) = vangle(vd1303,vd1287,sK2)
| ~ spl119_70 ),
inference(avatar_component_clause,[],[f2396]) ).
fof(f43277,plain,
( ~ spl119_3
| ~ spl119_5
| ~ spl119_7
| ~ spl119_26
| ~ spl119_33
| ~ spl119_43
| spl119_281
| ~ spl119_283 ),
inference(avatar_contradiction_clause,[],[f43268]) ).
fof(f43268,plain,
( $false
| ~ spl119_3
| ~ spl119_5
| ~ spl119_7
| ~ spl119_26
| ~ spl119_33
| ~ spl119_43
| spl119_281
| ~ spl119_283 ),
inference(unit_resulting_resolution,[],[f1925,f2078,f2135,f2038,f30154,f1915,f1935,f30135,f1282]) ).
fof(f1282,plain,
! [X6,X7,X4,X5] :
( ~ rR(X6,X5,X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ron(X6,X4)
| ~ ron(X5,X4)
| ~ ron(X7,X4) ),
inference(equality_resolution,[],[f1281]) ).
fof(f1281,plain,
! [X3,X6,X7,X4,X5] :
( ron(X6,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ~ rR(X6,X5,X7)
| ~ ron(X5,X3)
| ~ ron(X7,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f1280]) ).
fof(f1280,plain,
! [X2,X3,X6,X7,X4,X5] :
( ron(X6,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| ~ rR(X6,X5,X2)
| ~ ron(X5,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f1279]) ).
fof(f1279,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ron(X1,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| ~ rR(X1,X5,X2)
| ~ ron(X5,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f874]) ).
fof(f874,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X1,X3)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(cnf_transformation,[],[f449]) ).
fof(f449,plain,
! [X0,X1,X2,X3,X4] :
( ron(X1,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(flattening,[],[f448]) ).
fof(f448,plain,
! [X0,X1,X2,X3,X4] :
( ron(X1,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(ennf_transformation,[],[f249]) ).
fof(f249,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& rline(X4)
& rR(X1,X0,X2)
& ron(X0,X3)
& ron(X2,X3)
& X3 = X4 )
=> ron(X1,X3) ),
inference(rectify,[],[f77]) ).
fof(f77,axiom,
! [X62,X63,X64,X65,X66] :
( ( ? [X69] :
( rpoint(X69)
& X62 = X69 )
& ? [X68] :
( rpoint(X68)
& X63 = X68 )
& ? [X67] :
( rpoint(X67)
& X64 = X67 )
& rline(X66)
& rR(X63,X62,X64)
& ron(X62,X65)
& ron(X64,X65)
& X65 = X66 )
=> ron(X63,X65) ),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))') ).
fof(f30154,plain,
( rR(vd1303,vd1287,vd1300)
| ~ spl119_283 ),
inference(avatar_component_clause,[],[f30152]) ).
fof(f43242,plain,
( ~ spl119_3
| ~ spl119_7
| ~ spl119_26
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| spl119_154
| ~ spl119_281 ),
inference(avatar_contradiction_clause,[],[f43241]) ).
fof(f43241,plain,
( $false
| ~ spl119_3
| ~ spl119_7
| ~ spl119_26
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| spl119_154
| ~ spl119_281 ),
inference(subsumption_resolution,[],[f43240,f30136]) ).
fof(f43240,plain,
( ~ ron(vd1303,vd1295)
| ~ spl119_3
| ~ spl119_7
| ~ spl119_26
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| spl119_154 ),
inference(subsumption_resolution,[],[f43239,f2038]) ).
fof(f43239,plain,
( ~ ron(vd1287,vd1295)
| ~ ron(vd1303,vd1295)
| ~ spl119_3
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| spl119_154 ),
inference(subsumption_resolution,[],[f43223,f1915]) ).
fof(f43223,plain,
( ~ rline(vd1295)
| ~ ron(vd1287,vd1295)
| ~ ron(vd1303,vd1295)
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| spl119_154 ),
inference(resolution,[],[f6316,f8802]) ).
fof(f8802,plain,
( ! [X1] :
( ron(vd1289,X1)
| ~ rline(X1)
| ~ ron(vd1287,X1)
| ~ ron(vd1303,X1) )
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53 ),
inference(subsumption_resolution,[],[f8801,f1935]) ).
fof(f8801,plain,
( ! [X1] :
( ~ rpoint(vd1303)
| ~ rline(X1)
| ron(vd1289,X1)
| ~ ron(vd1287,X1)
| ~ ron(vd1303,X1) )
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53 ),
inference(subsumption_resolution,[],[f8800,f2062]) ).
fof(f8800,plain,
( ! [X1] :
( ~ rpoint(vd1289)
| ~ rpoint(vd1303)
| ~ rline(X1)
| ron(vd1289,X1)
| ~ ron(vd1287,X1)
| ~ ron(vd1303,X1) )
| ~ spl119_33
| ~ spl119_53 ),
inference(subsumption_resolution,[],[f8780,f2078]) ).
fof(f8780,plain,
( ! [X1] :
( ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| ~ rpoint(vd1303)
| ~ rline(X1)
| ron(vd1289,X1)
| ~ ron(vd1287,X1)
| ~ ron(vd1303,X1) )
| ~ spl119_53 ),
inference(resolution,[],[f1282,f2191]) ).
fof(f43104,plain,
( vf(vd1287,vd1289) != vf(vd1287,sK2)
| vf(vd1287,sK2) != sK16(vd1287,vd1289)
| sK16(vd1287,vd1289) != sK16(vd1287,sK2)
| sK16(vd1303,vd1287) != sK16(vd1287,sK2)
| vf(vd1287,vd1289) = sK16(vd1303,vd1287) ),
introduced(theory_tautology_sat_conflict,[]) ).
fof(f43100,plain,
( vd1303 != sK2
| sK16(vd1287,vd1303) != sK16(vd1303,vd1287)
| sK16(vd1287,vd1329) != sK16(vd1287,vd1303)
| vf(vd1287,vd1289) != vf(vd1287,sK2)
| vf(vd1287,vd1303) != sK16(vd1287,vd1329)
| vf(vd1287,vd1289) = sK16(vd1303,vd1287) ),
introduced(theory_tautology_sat_conflict,[]) ).
fof(f43098,plain,
( ~ spl119_121
| ~ spl119_193 ),
inference(avatar_contradiction_clause,[],[f43097]) ).
fof(f43097,plain,
( $false
| ~ spl119_121
| ~ spl119_193 ),
inference(subsumption_resolution,[],[f43079,f3112]) ).
fof(f43079,plain,
( ~ rreal(sK16(vd1303,vd1287))
| ~ spl119_193 ),
inference(resolution,[],[f10208,f1017]) ).
fof(f10208,plain,
( rless(sK16(vd1303,vd1287),sK16(vd1303,vd1287))
| ~ spl119_193 ),
inference(avatar_component_clause,[],[f10207]) ).
fof(f10207,plain,
( spl119_193
<=> rless(sK16(vd1303,vd1287),sK16(vd1303,vd1287)) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_193])]) ).
fof(f42775,plain,
( ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| spl119_45
| ~ spl119_53
| ~ spl119_123
| spl119_193
| ~ spl119_277 ),
inference(avatar_contradiction_clause,[],[f42774]) ).
fof(f42774,plain,
( $false
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| spl119_45
| ~ spl119_53
| ~ spl119_123
| spl119_193
| ~ spl119_277 ),
inference(subsumption_resolution,[],[f42773,f2078]) ).
fof(f42773,plain,
( ~ rpoint(vd1287)
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| spl119_45
| ~ spl119_53
| ~ spl119_123
| spl119_193
| ~ spl119_277 ),
inference(subsumption_resolution,[],[f42772,f2145]) ).
fof(f42772,plain,
( vd1287 = vd1303
| ~ rpoint(vd1287)
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| ~ spl119_123
| spl119_193
| ~ spl119_277 ),
inference(subsumption_resolution,[],[f42771,f1935]) ).
fof(f42771,plain,
( ~ rpoint(vd1303)
| vd1287 = vd1303
| ~ rpoint(vd1287)
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| ~ spl119_123
| spl119_193
| ~ spl119_277 ),
inference(duplicate_literal_removal,[],[f42764]) ).
fof(f42764,plain,
( ~ rpoint(vd1303)
| vd1287 = vd1303
| ~ rpoint(vd1287)
| ~ rpoint(vd1303)
| vd1287 = vd1303
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| ~ spl119_123
| spl119_193
| ~ spl119_277 ),
inference(resolution,[],[f42710,f1003]) ).
fof(f42710,plain,
( ! [X0] :
( ~ ron(vd1303,sK6(vd1287,X0))
| ~ rpoint(X0)
| vd1287 = X0 )
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| ~ spl119_123
| spl119_193
| ~ spl119_277 ),
inference(subsumption_resolution,[],[f42709,f2078]) ).
fof(f42709,plain,
( ! [X0] :
( ~ ron(vd1303,sK6(vd1287,X0))
| ~ rpoint(vd1287)
| ~ rpoint(X0)
| vd1287 = X0 )
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| ~ spl119_123
| spl119_193
| ~ spl119_277 ),
inference(resolution,[],[f42708,f1001]) ).
fof(f42708,plain,
( ! [X0] :
( ~ rcenter(vd1287,X0)
| ~ ron(vd1303,X0) )
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| ~ spl119_123
| spl119_193
| ~ spl119_277 ),
inference(subsumption_resolution,[],[f42707,f2512]) ).
fof(f42707,plain,
( ! [X0] :
( ~ rcenter(vd1287,X0)
| ~ ron(vd1303,X0)
| ~ rcircle(X0) )
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| ~ spl119_123
| spl119_193
| ~ spl119_277 ),
inference(subsumption_resolution,[],[f42706,f750]) ).
fof(f42706,plain,
( ! [X0] :
( ~ rcenter(vd1287,X0)
| ~ ron(vd1303,X0)
| ~ rinside(vd1287,X0)
| ~ rcircle(X0) )
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| ~ spl119_123
| spl119_193
| ~ spl119_277 ),
inference(duplicate_literal_removal,[],[f42696]) ).
fof(f42696,plain,
( ! [X0] :
( ~ rcenter(vd1287,X0)
| ~ ron(vd1303,X0)
| ~ rinside(vd1287,X0)
| ~ rcircle(X0)
| ~ ron(vd1303,X0) )
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| ~ spl119_123
| spl119_193
| ~ spl119_277 ),
inference(resolution,[],[f42688,f8934]) ).
fof(f8934,plain,
( ! [X1] :
( rinside(vd1289,X1)
| ~ rinside(vd1287,X1)
| ~ rcircle(X1)
| ~ ron(vd1303,X1) )
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53 ),
inference(subsumption_resolution,[],[f8933,f2062]) ).
fof(f8933,plain,
( ! [X1] :
( ~ rpoint(vd1289)
| ~ rcircle(X1)
| ~ rinside(vd1287,X1)
| rinside(vd1289,X1)
| ~ ron(vd1303,X1) )
| ~ spl119_7
| ~ spl119_33
| ~ spl119_53 ),
inference(subsumption_resolution,[],[f8932,f1935]) ).
fof(f8932,plain,
( ! [X1] :
( ~ rpoint(vd1303)
| ~ rpoint(vd1289)
| ~ rcircle(X1)
| ~ rinside(vd1287,X1)
| rinside(vd1289,X1)
| ~ ron(vd1303,X1) )
| ~ spl119_33
| ~ spl119_53 ),
inference(subsumption_resolution,[],[f8912,f2078]) ).
fof(f8912,plain,
( ! [X1] :
( ~ rpoint(vd1287)
| ~ rpoint(vd1303)
| ~ rpoint(vd1289)
| ~ rcircle(X1)
| ~ rinside(vd1287,X1)
| rinside(vd1289,X1)
| ~ ron(vd1303,X1) )
| ~ spl119_53 ),
inference(resolution,[],[f1335,f2191]) ).
fof(f1335,plain,
! [X6,X7,X4,X5] :
( ~ rR(X7,X5,X6)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rcircle(X4)
| ~ rinside(X5,X4)
| rinside(X7,X4)
| ~ ron(X6,X4) ),
inference(equality_resolution,[],[f1334]) ).
fof(f1334,plain,
! [X3,X6,X7,X4,X5] :
( ~ ron(X6,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rcircle(X4)
| X3 != X4
| ~ rinside(X5,X3)
| rinside(X7,X3)
| ~ rR(X7,X5,X6) ),
inference(equality_resolution,[],[f1333]) ).
fof(f1333,plain,
! [X2,X3,X6,X7,X4,X5] :
( ~ ron(X6,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| ~ rcircle(X4)
| X3 != X4
| ~ rinside(X5,X3)
| rinside(X2,X3)
| ~ rR(X2,X5,X6) ),
inference(equality_resolution,[],[f1332]) ).
fof(f1332,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ~ ron(X1,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rcircle(X4)
| X3 != X4
| ~ rinside(X5,X3)
| rinside(X2,X3)
| ~ rR(X2,X5,X1) ),
inference(equality_resolution,[],[f890]) ).
fof(f890,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ ron(X1,X3)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rcircle(X4)
| X3 != X4
| ~ rinside(X0,X3)
| rinside(X2,X3)
| ~ rR(X2,X0,X1) ),
inference(cnf_transformation,[],[f467]) ).
fof(f467,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ ron(X1,X3)
& ~ ron(X1,X3) )
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rcircle(X4)
| X3 != X4
| ( ~ rinside(X0,X3)
& ~ ron(X0,X3) )
| rinside(X2,X3)
| ~ rR(X2,X0,X1) ),
inference(flattening,[],[f466]) ).
fof(f466,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ ron(X1,X3)
& ~ ron(X1,X3) )
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rcircle(X4)
| X3 != X4
| ( ~ rinside(X0,X3)
& ~ ron(X0,X3) )
| rinside(X2,X3)
| ~ rR(X2,X0,X1) ),
inference(ennf_transformation,[],[f258]) ).
fof(f258,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& rcircle(X4)
& X3 = X4
& ( rinside(X0,X3)
| ron(X0,X3) )
& ~ rinside(X2,X3)
& rR(X2,X0,X1) )
=> ( ~ ron(X1,X3)
& ~ ron(X1,X3) ) ),
inference(rectify,[],[f128]) ).
fof(f128,axiom,
! [X346,X347,X348,X349,X350] :
( ( ? [X353] :
( rpoint(X353)
& X346 = X353 )
& ? [X352] :
( rpoint(X352)
& X347 = X352 )
& ? [X351] :
( rpoint(X351)
& X348 = X351 )
& rcircle(X350)
& X349 = X350
& ( rinside(X346,X349)
| ron(X346,X349) )
& ~ rinside(X348,X349)
& rR(X348,X346,X347) )
=> ( ~ ron(X347,X349)
& ~ ron(X347,X349) ) ),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','qu(cond(axiom(123), 0), imp(cond(axiom(123), 0)))') ).
fof(f42688,plain,
( ! [X5] :
( ~ rinside(vd1289,X5)
| ~ rcenter(vd1287,X5)
| ~ ron(vd1303,X5) )
| ~ spl119_7
| ~ spl119_30
| ~ spl119_123
| spl119_193
| ~ spl119_277 ),
inference(subsumption_resolution,[],[f42687,f1935]) ).
fof(f42687,plain,
( ! [X5] :
( ~ rinside(vd1289,X5)
| ~ rpoint(vd1303)
| ~ rcenter(vd1287,X5)
| ~ ron(vd1303,X5) )
| ~ spl119_30
| ~ spl119_123
| spl119_193
| ~ spl119_277 ),
inference(subsumption_resolution,[],[f42662,f10209]) ).
fof(f10209,plain,
( ~ rless(sK16(vd1303,vd1287),sK16(vd1303,vd1287))
| spl119_193 ),
inference(avatar_component_clause,[],[f10207]) ).
fof(f42662,plain,
( ! [X5] :
( rless(sK16(vd1303,vd1287),sK16(vd1303,vd1287))
| ~ rinside(vd1289,X5)
| ~ rpoint(vd1303)
| ~ rcenter(vd1287,X5)
| ~ ron(vd1303,X5) )
| ~ spl119_30
| ~ spl119_123
| ~ spl119_277 ),
inference(superposition,[],[f30810,f3129]) ).
fof(f30810,plain,
( ! [X3,X4] :
( rless(sK16(vd1303,vd1287),vf(vd1287,X3))
| ~ rinside(vd1289,X4)
| ~ rpoint(X3)
| ~ rcenter(vd1287,X4)
| ~ ron(X3,X4) )
| ~ spl119_30
| ~ spl119_277 ),
inference(subsumption_resolution,[],[f30782,f2062]) ).
fof(f30782,plain,
( ! [X3,X4] :
( rless(sK16(vd1303,vd1287),vf(vd1287,X3))
| ~ rinside(vd1289,X4)
| ~ rpoint(vd1289)
| ~ rpoint(X3)
| ~ rcenter(vd1287,X4)
| ~ ron(X3,X4) )
| ~ spl119_277 ),
inference(superposition,[],[f1196,f29954]) ).
fof(f29954,plain,
( vf(vd1287,vd1289) = sK16(vd1303,vd1287)
| ~ spl119_277 ),
inference(avatar_component_clause,[],[f29952]) ).
fof(f29952,plain,
( spl119_277
<=> vf(vd1287,vd1289) = sK16(vd1303,vd1287) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_277])]) ).
fof(f34290,plain,
( vd1287 != vd1300
| rR(sK2,vd1287,vd1287)
| ~ rR(sK2,vd1287,vd1300) ),
introduced(theory_tautology_sat_conflict,[]) ).
fof(f29955,plain,
( spl119_277
| ~ spl119_108
| ~ spl119_122
| ~ spl119_133 ),
inference(avatar_split_clause,[],[f29700,f3359,f3115,f2969,f29952]) ).
fof(f29700,plain,
( vf(vd1287,vd1289) = sK16(vd1303,vd1287)
| ~ spl119_108
| ~ spl119_122
| ~ spl119_133 ),
inference(backward_demodulation,[],[f2971,f29414]) ).
fof(f29414,plain,
( sK16(vd1303,vd1287) = sK16(vd1287,sK2)
| ~ spl119_108
| ~ spl119_122
| ~ spl119_133 ),
inference(forward_demodulation,[],[f29275,f2971]) ).
fof(f29275,plain,
( vf(vd1287,vd1289) = sK16(vd1303,vd1287)
| ~ spl119_122
| ~ spl119_133 ),
inference(backward_demodulation,[],[f3117,f3361]) ).
fof(f3361,plain,
( vd1289 = vd1329
| ~ spl119_133 ),
inference(avatar_component_clause,[],[f3359]) ).
fof(f28002,plain,
( ~ spl119_6
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| ~ spl119_220
| spl119_251 ),
inference(avatar_contradiction_clause,[],[f28001]) ).
fof(f28001,plain,
( $false
| ~ spl119_6
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| ~ spl119_220
| spl119_251 ),
inference(subsumption_resolution,[],[f28000,f2062]) ).
fof(f28000,plain,
( ~ rpoint(vd1289)
| ~ spl119_6
| ~ spl119_7
| ~ spl119_33
| ~ spl119_53
| ~ spl119_220
| spl119_251 ),
inference(subsumption_resolution,[],[f27953,f2191]) ).
fof(f27953,plain,
( ~ rR(vd1289,vd1287,vd1303)
| ~ rpoint(vd1289)
| ~ spl119_6
| ~ spl119_7
| ~ spl119_33
| ~ spl119_220
| spl119_251 ),
inference(resolution,[],[f11013,f26288]) ).
fof(f26288,plain,
( ! [X6] :
( ~ rR(vd1287,X6,vd1329)
| ~ rR(X6,vd1287,vd1303)
| ~ rpoint(X6) )
| ~ spl119_6
| ~ spl119_7
| ~ spl119_33
| spl119_251 ),
inference(subsumption_resolution,[],[f26287,f1930]) ).
fof(f26287,plain,
( ! [X6] :
( ~ rpoint(X6)
| ~ rR(X6,vd1287,vd1303)
| ~ rpoint(vd1329)
| ~ rR(vd1287,X6,vd1329) )
| ~ spl119_6
| ~ spl119_7
| ~ spl119_33
| spl119_251 ),
inference(subsumption_resolution,[],[f26276,f2078]) ).
fof(f26276,plain,
( ! [X6] :
( ~ rpoint(X6)
| ~ rR(X6,vd1287,vd1303)
| ~ rpoint(vd1287)
| ~ rpoint(vd1329)
| ~ rR(vd1287,X6,vd1329) )
| ~ spl119_6
| ~ spl119_7
| ~ spl119_33
| spl119_251 ),
inference(duplicate_literal_removal,[],[f26273]) ).
fof(f26273,plain,
( ! [X6] :
( ~ rpoint(X6)
| ~ rR(X6,vd1287,vd1303)
| ~ rpoint(X6)
| ~ rpoint(vd1287)
| ~ rpoint(vd1329)
| ~ rR(vd1287,X6,vd1329) )
| ~ spl119_6
| ~ spl119_7
| ~ spl119_33
| spl119_251 ),
inference(resolution,[],[f20771,f1064]) ).
fof(f20771,plain,
( ! [X2] :
( ~ rR(vd1287,vd1329,X2)
| ~ rpoint(X2)
| ~ rR(X2,vd1287,vd1303) )
| ~ spl119_6
| ~ spl119_7
| ~ spl119_33
| spl119_251 ),
inference(subsumption_resolution,[],[f20770,f1935]) ).
fof(f20770,plain,
( ! [X2] :
( ~ rpoint(X2)
| ~ rpoint(vd1303)
| ~ rR(vd1287,vd1329,X2)
| ~ rR(X2,vd1287,vd1303) )
| ~ spl119_6
| ~ spl119_33
| spl119_251 ),
inference(subsumption_resolution,[],[f20769,f2078]) ).
fof(f20769,plain,
( ! [X2] :
( ~ rpoint(vd1287)
| ~ rpoint(X2)
| ~ rpoint(vd1303)
| ~ rR(vd1287,vd1329,X2)
| ~ rR(X2,vd1287,vd1303) )
| ~ spl119_6
| spl119_251 ),
inference(subsumption_resolution,[],[f20757,f1930]) ).
fof(f20757,plain,
( ! [X2] :
( ~ rpoint(vd1329)
| ~ rpoint(vd1287)
| ~ rpoint(X2)
| ~ rpoint(vd1303)
| ~ rR(vd1287,vd1329,X2)
| ~ rR(X2,vd1287,vd1303) )
| spl119_251 ),
inference(resolution,[],[f20753,f1230]) ).
fof(f20753,plain,
( ~ rR(vd1287,vd1329,vd1303)
| spl119_251 ),
inference(avatar_component_clause,[],[f20751]) ).
fof(f11013,plain,
( rR(vd1287,vd1289,vd1329)
| ~ spl119_220 ),
inference(avatar_component_clause,[],[f11012]) ).
fof(f27998,plain,
( ~ spl119_5
| ~ spl119_6
| ~ spl119_30
| ~ spl119_33
| spl119_137
| ~ spl119_157
| ~ spl119_220 ),
inference(avatar_contradiction_clause,[],[f27997]) ).
fof(f27997,plain,
( $false
| ~ spl119_5
| ~ spl119_6
| ~ spl119_30
| ~ spl119_33
| spl119_137
| ~ spl119_157
| ~ spl119_220 ),
inference(subsumption_resolution,[],[f27996,f2062]) ).
fof(f27996,plain,
( ~ rpoint(vd1289)
| ~ spl119_5
| ~ spl119_6
| ~ spl119_33
| spl119_137
| ~ spl119_157
| ~ spl119_220 ),
inference(subsumption_resolution,[],[f27949,f6347]) ).
fof(f6347,plain,
( rR(vd1289,vd1287,vd1300)
| ~ spl119_157 ),
inference(avatar_component_clause,[],[f6345]) ).
fof(f27949,plain,
( ~ rR(vd1289,vd1287,vd1300)
| ~ rpoint(vd1289)
| ~ spl119_5
| ~ spl119_6
| ~ spl119_33
| spl119_137
| ~ spl119_220 ),
inference(resolution,[],[f11013,f6966]) ).
fof(f6966,plain,
( ! [X4] :
( ~ rR(vd1287,X4,vd1329)
| ~ rR(X4,vd1287,vd1300)
| ~ rpoint(X4) )
| ~ spl119_5
| ~ spl119_6
| ~ spl119_33
| spl119_137 ),
inference(subsumption_resolution,[],[f6965,f1930]) ).
fof(f6965,plain,
( ! [X4] :
( ~ rpoint(X4)
| ~ rR(X4,vd1287,vd1300)
| ~ rpoint(vd1329)
| ~ rR(vd1287,X4,vd1329) )
| ~ spl119_5
| ~ spl119_6
| ~ spl119_33
| spl119_137 ),
inference(subsumption_resolution,[],[f6958,f2078]) ).
fof(f6958,plain,
( ! [X4] :
( ~ rpoint(X4)
| ~ rR(X4,vd1287,vd1300)
| ~ rpoint(vd1287)
| ~ rpoint(vd1329)
| ~ rR(vd1287,X4,vd1329) )
| ~ spl119_5
| ~ spl119_6
| ~ spl119_33
| spl119_137 ),
inference(duplicate_literal_removal,[],[f6957]) ).
fof(f6957,plain,
( ! [X4] :
( ~ rpoint(X4)
| ~ rR(X4,vd1287,vd1300)
| ~ rpoint(X4)
| ~ rpoint(vd1287)
| ~ rpoint(vd1329)
| ~ rR(vd1287,X4,vd1329) )
| ~ spl119_5
| ~ spl119_6
| ~ spl119_33
| spl119_137 ),
inference(resolution,[],[f6672,f1064]) ).
fof(f6672,plain,
( ! [X30] :
( ~ rR(vd1287,vd1329,X30)
| ~ rpoint(X30)
| ~ rR(X30,vd1287,vd1300) )
| ~ spl119_5
| ~ spl119_6
| ~ spl119_33
| spl119_137 ),
inference(subsumption_resolution,[],[f6671,f1925]) ).
fof(f6671,plain,
( ! [X30] :
( ~ rpoint(X30)
| ~ rpoint(vd1300)
| ~ rR(vd1287,vd1329,X30)
| ~ rR(X30,vd1287,vd1300) )
| ~ spl119_6
| ~ spl119_33
| spl119_137 ),
inference(subsumption_resolution,[],[f6670,f2078]) ).
fof(f6670,plain,
( ! [X30] :
( ~ rpoint(vd1287)
| ~ rpoint(X30)
| ~ rpoint(vd1300)
| ~ rR(vd1287,vd1329,X30)
| ~ rR(X30,vd1287,vd1300) )
| ~ spl119_6
| spl119_137 ),
inference(subsumption_resolution,[],[f6633,f1930]) ).
fof(f6633,plain,
( ! [X30] :
( ~ rpoint(vd1329)
| ~ rpoint(vd1287)
| ~ rpoint(X30)
| ~ rpoint(vd1300)
| ~ rR(vd1287,vd1329,X30)
| ~ rR(X30,vd1287,vd1300) )
| spl119_137 ),
inference(resolution,[],[f1230,f3521]) ).
fof(f3521,plain,
( ~ rR(vd1287,vd1329,vd1300)
| spl119_137 ),
inference(avatar_component_clause,[],[f3519]) ).
fof(f3519,plain,
( spl119_137
<=> rR(vd1287,vd1329,vd1300) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_137])]) ).
fof(f27197,plain,
( ~ spl119_2
| ~ spl119_25
| ~ spl119_44
| ~ spl119_259 ),
inference(avatar_contradiction_clause,[],[f27196]) ).
fof(f27196,plain,
( $false
| ~ spl119_2
| ~ spl119_25
| ~ spl119_44
| ~ spl119_259 ),
inference(subsumption_resolution,[],[f27195,f1910]) ).
fof(f27195,plain,
( ~ rline(vd1297)
| ~ spl119_25
| ~ spl119_44
| ~ spl119_259 ),
inference(subsumption_resolution,[],[f27185,f2032]) ).
fof(f27185,plain,
( ~ ron(vd1287,vd1297)
| ~ rline(vd1297)
| ~ spl119_44
| ~ spl119_259 ),
inference(resolution,[],[f27173,f2140]) ).
fof(f27173,plain,
( ! [X362] :
( ~ ron(vd1303,X362)
| ~ ron(vd1287,X362)
| ~ rline(X362) )
| ~ spl119_259 ),
inference(avatar_component_clause,[],[f27172]) ).
fof(f27172,plain,
( spl119_259
<=> ! [X362] :
( ~ rline(X362)
| ~ ron(vd1287,X362)
| ~ ron(vd1303,X362) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_259])]) ).
fof(f27178,plain,
( spl119_259
| spl119_260
| ~ spl119_7
| spl119_14
| ~ spl119_30
| ~ spl119_33
| spl119_45
| spl119_51
| ~ spl119_53
| spl119_142
| spl119_155 ),
inference(avatar_split_clause,[],[f16151,f6328,f3584,f2189,f2179,f2143,f2076,f2060,f1969,f1933,f27175,f27172]) ).
fof(f2179,plain,
( spl119_51
<=> rR(vd1287,vd1289,vd1303) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_51])]) ).
fof(f3584,plain,
( spl119_142
<=> rR(vd1303,vd1289,vd1287) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_142])]) ).
fof(f16151,plain,
( ! [X362] :
( rR(vd1289,vd1303,vd1287)
| ~ rline(X362)
| ~ ron(vd1303,X362)
| ~ ron(vd1287,X362) )
| ~ spl119_7
| spl119_14
| ~ spl119_30
| ~ spl119_33
| spl119_45
| spl119_51
| ~ spl119_53
| spl119_142
| spl119_155 ),
inference(subsumption_resolution,[],[f16150,f8802]) ).
fof(f16150,plain,
( ! [X362] :
( rR(vd1289,vd1303,vd1287)
| ~ rline(X362)
| ~ ron(vd1289,X362)
| ~ ron(vd1303,X362)
| ~ ron(vd1287,X362) )
| ~ spl119_7
| spl119_14
| ~ spl119_30
| ~ spl119_33
| spl119_45
| spl119_51
| spl119_142
| spl119_155 ),
inference(subsumption_resolution,[],[f16149,f2145]) ).
fof(f16149,plain,
( ! [X362] :
( rR(vd1289,vd1303,vd1287)
| vd1287 = vd1303
| ~ rline(X362)
| ~ ron(vd1289,X362)
| ~ ron(vd1303,X362)
| ~ ron(vd1287,X362) )
| ~ spl119_7
| spl119_14
| ~ spl119_30
| ~ spl119_33
| spl119_51
| spl119_142
| spl119_155 ),
inference(subsumption_resolution,[],[f16148,f1971]) ).
fof(f16148,plain,
( ! [X362] :
( rR(vd1289,vd1303,vd1287)
| vd1289 = vd1287
| vd1287 = vd1303
| ~ rline(X362)
| ~ ron(vd1289,X362)
| ~ ron(vd1303,X362)
| ~ ron(vd1287,X362) )
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| spl119_51
| spl119_142
| spl119_155 ),
inference(subsumption_resolution,[],[f16147,f6330]) ).
fof(f16147,plain,
( ! [X362] :
( rR(vd1289,vd1303,vd1287)
| vd1289 = vd1303
| vd1289 = vd1287
| vd1287 = vd1303
| ~ rline(X362)
| ~ ron(vd1289,X362)
| ~ ron(vd1303,X362)
| ~ ron(vd1287,X362) )
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| spl119_51
| spl119_142 ),
inference(subsumption_resolution,[],[f16146,f2078]) ).
fof(f16146,plain,
( ! [X362] :
( rR(vd1289,vd1303,vd1287)
| ~ rpoint(vd1287)
| vd1289 = vd1303
| vd1289 = vd1287
| vd1287 = vd1303
| ~ rline(X362)
| ~ ron(vd1289,X362)
| ~ ron(vd1303,X362)
| ~ ron(vd1287,X362) )
| ~ spl119_7
| ~ spl119_30
| spl119_51
| spl119_142 ),
inference(subsumption_resolution,[],[f16145,f1935]) ).
fof(f16145,plain,
( ! [X362] :
( rR(vd1289,vd1303,vd1287)
| ~ rpoint(vd1303)
| ~ rpoint(vd1287)
| vd1289 = vd1303
| vd1289 = vd1287
| vd1287 = vd1303
| ~ rline(X362)
| ~ ron(vd1289,X362)
| ~ ron(vd1303,X362)
| ~ ron(vd1287,X362) )
| ~ spl119_30
| spl119_51
| spl119_142 ),
inference(subsumption_resolution,[],[f16144,f2062]) ).
fof(f16144,plain,
( ! [X362] :
( rR(vd1289,vd1303,vd1287)
| ~ rpoint(vd1289)
| ~ rpoint(vd1303)
| ~ rpoint(vd1287)
| vd1289 = vd1303
| vd1289 = vd1287
| vd1287 = vd1303
| ~ rline(X362)
| ~ ron(vd1289,X362)
| ~ ron(vd1303,X362)
| ~ ron(vd1287,X362) )
| spl119_51
| spl119_142 ),
inference(subsumption_resolution,[],[f15314,f3586]) ).
fof(f3586,plain,
( ~ rR(vd1303,vd1289,vd1287)
| spl119_142 ),
inference(avatar_component_clause,[],[f3584]) ).
fof(f15314,plain,
( ! [X362] :
( rR(vd1289,vd1303,vd1287)
| rR(vd1303,vd1289,vd1287)
| ~ rpoint(vd1289)
| ~ rpoint(vd1303)
| ~ rpoint(vd1287)
| vd1289 = vd1303
| vd1289 = vd1287
| vd1287 = vd1303
| ~ rline(X362)
| ~ ron(vd1289,X362)
| ~ ron(vd1303,X362)
| ~ ron(vd1287,X362) )
| spl119_51 ),
inference(resolution,[],[f1278,f2181]) ).
fof(f2181,plain,
( ~ rR(vd1287,vd1289,vd1303)
| spl119_51 ),
inference(avatar_component_clause,[],[f2179]) ).
fof(f17523,plain,
( ~ spl119_248
| ~ spl119_5
| ~ spl119_30
| ~ spl119_33
| spl119_247 ),
inference(avatar_split_clause,[],[f17326,f17244,f2076,f2060,f1923,f17520]) ).
fof(f17326,plain,
( ~ rR(vd1287,vd1300,vd1289)
| ~ spl119_5
| ~ spl119_30
| ~ spl119_33
| spl119_247 ),
inference(subsumption_resolution,[],[f17325,f2062]) ).
fof(f17325,plain,
( ~ rpoint(vd1289)
| ~ rR(vd1287,vd1300,vd1289)
| ~ spl119_5
| ~ spl119_33
| spl119_247 ),
inference(subsumption_resolution,[],[f17324,f2078]) ).
fof(f17324,plain,
( ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| ~ rR(vd1287,vd1300,vd1289)
| ~ spl119_5
| spl119_247 ),
inference(subsumption_resolution,[],[f17311,f1925]) ).
fof(f17311,plain,
( ~ rpoint(vd1300)
| ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| ~ rR(vd1287,vd1300,vd1289)
| spl119_247 ),
inference(resolution,[],[f17246,f1064]) ).
fof(f17246,plain,
( ~ rR(vd1287,vd1289,vd1300)
| spl119_247 ),
inference(avatar_component_clause,[],[f17244]) ).
fof(f15744,plain,
( ~ spl119_3
| ~ spl119_6
| spl119_12
| spl119_14
| ~ spl119_20
| ~ spl119_26
| ~ spl119_30
| ~ spl119_33
| spl119_133
| ~ spl119_154
| spl119_220
| spl119_224
| spl119_232 ),
inference(avatar_contradiction_clause,[],[f15168]) ).
fof(f15168,plain,
( $false
| ~ spl119_3
| ~ spl119_6
| spl119_12
| spl119_14
| ~ spl119_20
| ~ spl119_26
| ~ spl119_30
| ~ spl119_33
| spl119_133
| ~ spl119_154
| spl119_220
| spl119_224
| spl119_232 ),
inference(unit_resulting_resolution,[],[f1915,f2003,f6317,f2038,f1930,f2062,f2078,f3360,f1960,f1971,f11232,f11014,f11693,f1278]) ).
fof(f11693,plain,
( ~ rR(vd1329,vd1287,vd1289)
| spl119_232 ),
inference(avatar_component_clause,[],[f11691]) ).
fof(f11232,plain,
( ~ rR(vd1289,vd1287,vd1329)
| spl119_224 ),
inference(avatar_component_clause,[],[f11230]) ).
fof(f11230,plain,
( spl119_224
<=> rR(vd1289,vd1287,vd1329) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_224])]) ).
fof(f11767,plain,
( ~ spl119_235
| ~ spl119_5
| ~ spl119_6
| ~ spl119_30
| ~ spl119_33
| ~ spl119_52
| spl119_232 ),
inference(avatar_split_clause,[],[f11751,f11691,f2184,f2076,f2060,f1928,f1923,f11764]) ).
fof(f11751,plain,
( ~ rR(vd1300,vd1287,vd1289)
| ~ spl119_5
| ~ spl119_6
| ~ spl119_30
| ~ spl119_33
| ~ spl119_52
| spl119_232 ),
inference(subsumption_resolution,[],[f11742,f1925]) ).
fof(f11742,plain,
( ~ rR(vd1300,vd1287,vd1289)
| ~ rpoint(vd1300)
| ~ spl119_6
| ~ spl119_30
| ~ spl119_33
| ~ spl119_52
| spl119_232 ),
inference(resolution,[],[f11707,f2186]) ).
fof(f11707,plain,
( ! [X0] :
( ~ rR(vd1329,vd1287,X0)
| ~ rR(X0,vd1287,vd1289)
| ~ rpoint(X0) )
| ~ spl119_6
| ~ spl119_30
| ~ spl119_33
| spl119_232 ),
inference(subsumption_resolution,[],[f11706,f1930]) ).
fof(f11706,plain,
( ! [X0] :
( ~ rpoint(X0)
| ~ rpoint(vd1329)
| ~ rR(X0,vd1287,vd1289)
| ~ rR(vd1329,vd1287,X0) )
| ~ spl119_30
| ~ spl119_33
| spl119_232 ),
inference(subsumption_resolution,[],[f11705,f2062]) ).
fof(f11705,plain,
( ! [X0] :
( ~ rpoint(X0)
| ~ rpoint(vd1289)
| ~ rpoint(vd1329)
| ~ rR(X0,vd1287,vd1289)
| ~ rR(vd1329,vd1287,X0) )
| ~ spl119_33
| spl119_232 ),
inference(subsumption_resolution,[],[f11702,f2078]) ).
fof(f11702,plain,
( ! [X0] :
( ~ rpoint(vd1287)
| ~ rpoint(X0)
| ~ rpoint(vd1289)
| ~ rpoint(vd1329)
| ~ rR(X0,vd1287,vd1289)
| ~ rR(vd1329,vd1287,X0) )
| spl119_232 ),
inference(resolution,[],[f11693,f1234]) ).
fof(f11718,plain,
( ~ spl119_234
| ~ spl119_6
| ~ spl119_30
| ~ spl119_33
| spl119_232 ),
inference(avatar_split_clause,[],[f11713,f11691,f2076,f2060,f1928,f11715]) ).
fof(f11713,plain,
( ~ rR(vd1329,vd1289,vd1287)
| ~ spl119_6
| ~ spl119_30
| ~ spl119_33
| spl119_232 ),
inference(subsumption_resolution,[],[f11712,f2078]) ).
fof(f11712,plain,
( ~ rpoint(vd1287)
| ~ rR(vd1329,vd1289,vd1287)
| ~ spl119_6
| ~ spl119_30
| spl119_232 ),
inference(subsumption_resolution,[],[f11711,f1930]) ).
fof(f11711,plain,
( ~ rpoint(vd1329)
| ~ rpoint(vd1287)
| ~ rR(vd1329,vd1289,vd1287)
| ~ spl119_30
| spl119_232 ),
inference(subsumption_resolution,[],[f11704,f2062]) ).
fof(f11704,plain,
( ~ rpoint(vd1289)
| ~ rpoint(vd1329)
| ~ rpoint(vd1287)
| ~ rR(vd1329,vd1289,vd1287)
| spl119_232 ),
inference(resolution,[],[f11693,f1064]) ).
fof(f11701,plain,
( ~ spl119_3
| ~ spl119_20
| ~ spl119_26
| spl119_231 ),
inference(avatar_contradiction_clause,[],[f11699]) ).
fof(f11699,plain,
( $false
| ~ spl119_3
| ~ spl119_20
| ~ spl119_26
| spl119_231 ),
inference(unit_resulting_resolution,[],[f1915,f2038,f2003,f11689,f1870]) ).
fof(f1870,plain,
! [X3,X1,X7] :
( sP106(X3,X1)
| ~ ron(X1,X7)
| ~ ron(X3,X7)
| ~ rline(X7) ),
inference(cnf_transformation,[],[f1870_D]) ).
fof(f1870_D,plain,
! [X1,X3] :
( ! [X7] :
( ~ ron(X1,X7)
| ~ ron(X3,X7)
| ~ rline(X7) )
<=> ~ sP106(X3,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP106])]) ).
fof(f11689,plain,
( ~ sP106(vd1287,vd1329)
| spl119_231 ),
inference(avatar_component_clause,[],[f11687]) ).
fof(f11687,plain,
( spl119_231
<=> sP106(vd1287,vd1329) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_231])]) ).
fof(f11698,plain,
( ~ spl119_231
| ~ spl119_232
| ~ spl119_233
| ~ spl119_6
| spl119_12
| ~ spl119_30
| ~ spl119_33
| ~ spl119_72
| spl119_133 ),
inference(avatar_split_clause,[],[f10671,f3359,f2406,f2076,f2060,f1958,f1928,f11695,f11691,f11687]) ).
fof(f2406,plain,
( spl119_72
<=> vangle(vd1287,vd1329,vd1289) = vangle(vd1287,vd1303,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_72])]) ).
fof(f10671,plain,
( v0 != vangle(vd1287,vd1303,sK2)
| ~ rR(vd1329,vd1287,vd1289)
| ~ sP106(vd1287,vd1329)
| ~ spl119_6
| spl119_12
| ~ spl119_30
| ~ spl119_33
| ~ spl119_72
| spl119_133 ),
inference(subsumption_resolution,[],[f10670,f3360]) ).
fof(f10670,plain,
( v0 != vangle(vd1287,vd1303,sK2)
| ~ rR(vd1329,vd1287,vd1289)
| vd1289 = vd1329
| ~ sP106(vd1287,vd1329)
| ~ spl119_6
| spl119_12
| ~ spl119_30
| ~ spl119_33
| ~ spl119_72 ),
inference(subsumption_resolution,[],[f10669,f1960]) ).
fof(f10669,plain,
( v0 != vangle(vd1287,vd1303,sK2)
| ~ rR(vd1329,vd1287,vd1289)
| vd1329 = vd1287
| vd1289 = vd1329
| ~ sP106(vd1287,vd1329)
| ~ spl119_6
| ~ spl119_30
| ~ spl119_33
| ~ spl119_72 ),
inference(subsumption_resolution,[],[f10668,f2062]) ).
fof(f10668,plain,
( v0 != vangle(vd1287,vd1303,sK2)
| ~ rR(vd1329,vd1287,vd1289)
| ~ rpoint(vd1289)
| vd1329 = vd1287
| vd1289 = vd1329
| ~ sP106(vd1287,vd1329)
| ~ spl119_6
| ~ spl119_33
| ~ spl119_72 ),
inference(subsumption_resolution,[],[f10667,f2078]) ).
fof(f10667,plain,
( v0 != vangle(vd1287,vd1303,sK2)
| ~ rR(vd1329,vd1287,vd1289)
| ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| vd1329 = vd1287
| vd1289 = vd1329
| ~ sP106(vd1287,vd1329)
| ~ spl119_6
| ~ spl119_72 ),
inference(subsumption_resolution,[],[f10647,f1930]) ).
fof(f10647,plain,
( v0 != vangle(vd1287,vd1303,sK2)
| ~ rR(vd1329,vd1287,vd1289)
| ~ rpoint(vd1329)
| ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| vd1329 = vd1287
| vd1289 = vd1329
| ~ sP106(vd1287,vd1329)
| ~ spl119_72 ),
inference(superposition,[],[f1871,f2408]) ).
fof(f2408,plain,
( vangle(vd1287,vd1329,vd1289) = vangle(vd1287,vd1303,sK2)
| ~ spl119_72 ),
inference(avatar_component_clause,[],[f2406]) ).
fof(f1871,plain,
! [X3,X1,X5] :
( v0 != vangle(X3,X1,X5)
| ~ rR(X1,X3,X5)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| X1 = X3
| X1 = X5
| ~ sP106(X3,X1) ),
inference(general_splitting,[],[f1683,f1870_D]) ).
fof(f1683,plain,
! [X3,X1,X7,X5] :
( ~ rR(X1,X3,X5)
| v0 != vangle(X3,X1,X5)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rline(X7)
| X1 = X3
| X1 = X5
| ~ ron(X1,X7)
| ~ ron(X3,X7) ),
inference(equality_resolution,[],[f1682]) ).
fof(f1682,plain,
! [X3,X1,X6,X7,X5] :
( ~ rR(X1,X3,X5)
| v0 != vangle(X3,X1,X5)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rline(X7)
| X6 != X7
| X1 = X3
| X1 = X5
| ~ ron(X1,X6)
| ~ ron(X3,X6) ),
inference(equality_resolution,[],[f1681]) ).
fof(f1681,plain,
! [X3,X1,X6,X7,X4,X5] :
( ~ rR(X1,X3,X4)
| v0 != vangle(X3,X1,X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X1 = X3
| X1 = X4
| ~ ron(X1,X6)
| ~ ron(X3,X6) ),
inference(equality_resolution,[],[f1680]) ).
fof(f1680,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ~ rR(X1,X2,X4)
| v0 != vangle(X2,X1,X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X1 = X2
| X1 = X4
| ~ ron(X1,X6)
| ~ ron(X2,X6) ),
inference(equality_resolution,[],[f967]) ).
fof(f967,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rR(X0,X2,X4)
| v0 != vangle(X2,X0,X4)
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(cnf_transformation,[],[f660]) ).
fof(f11242,plain,
( ~ spl119_2
| ~ spl119_22
| ~ spl119_25
| spl119_223 ),
inference(avatar_contradiction_clause,[],[f11239]) ).
fof(f11239,plain,
( $false
| ~ spl119_2
| ~ spl119_22
| ~ spl119_25
| spl119_223 ),
inference(unit_resulting_resolution,[],[f1910,f2032,f2015,f11228,f1870]) ).
fof(f11228,plain,
( ~ sP106(vd1287,vd1289)
| spl119_223 ),
inference(avatar_component_clause,[],[f11226]) ).
fof(f11226,plain,
( spl119_223
<=> sP106(vd1287,vd1289) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_223])]) ).
fof(f11237,plain,
( ~ spl119_223
| ~ spl119_224
| ~ spl119_225
| ~ spl119_6
| spl119_14
| ~ spl119_30
| ~ spl119_33
| ~ spl119_71
| spl119_133 ),
inference(avatar_split_clause,[],[f10666,f3359,f2401,f2076,f2060,f1969,f1928,f11234,f11230,f11226]) ).
fof(f2401,plain,
( spl119_71
<=> vangle(vd1287,vd1289,vd1329) = vangle(vd1287,sK2,vd1303) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_71])]) ).
fof(f10666,plain,
( v0 != vangle(vd1287,sK2,vd1303)
| ~ rR(vd1289,vd1287,vd1329)
| ~ sP106(vd1287,vd1289)
| ~ spl119_6
| spl119_14
| ~ spl119_30
| ~ spl119_33
| ~ spl119_71
| spl119_133 ),
inference(subsumption_resolution,[],[f10665,f3360]) ).
fof(f10665,plain,
( v0 != vangle(vd1287,sK2,vd1303)
| ~ rR(vd1289,vd1287,vd1329)
| vd1289 = vd1329
| ~ sP106(vd1287,vd1289)
| ~ spl119_6
| spl119_14
| ~ spl119_30
| ~ spl119_33
| ~ spl119_71 ),
inference(subsumption_resolution,[],[f10664,f1971]) ).
fof(f10664,plain,
( v0 != vangle(vd1287,sK2,vd1303)
| ~ rR(vd1289,vd1287,vd1329)
| vd1289 = vd1287
| vd1289 = vd1329
| ~ sP106(vd1287,vd1289)
| ~ spl119_6
| ~ spl119_30
| ~ spl119_33
| ~ spl119_71 ),
inference(subsumption_resolution,[],[f10663,f1930]) ).
fof(f10663,plain,
( v0 != vangle(vd1287,sK2,vd1303)
| ~ rR(vd1289,vd1287,vd1329)
| ~ rpoint(vd1329)
| vd1289 = vd1287
| vd1289 = vd1329
| ~ sP106(vd1287,vd1289)
| ~ spl119_30
| ~ spl119_33
| ~ spl119_71 ),
inference(subsumption_resolution,[],[f10662,f2078]) ).
fof(f10662,plain,
( v0 != vangle(vd1287,sK2,vd1303)
| ~ rR(vd1289,vd1287,vd1329)
| ~ rpoint(vd1287)
| ~ rpoint(vd1329)
| vd1289 = vd1287
| vd1289 = vd1329
| ~ sP106(vd1287,vd1289)
| ~ spl119_30
| ~ spl119_71 ),
inference(subsumption_resolution,[],[f10646,f2062]) ).
fof(f10646,plain,
( v0 != vangle(vd1287,sK2,vd1303)
| ~ rR(vd1289,vd1287,vd1329)
| ~ rpoint(vd1289)
| ~ rpoint(vd1287)
| ~ rpoint(vd1329)
| vd1289 = vd1287
| vd1289 = vd1329
| ~ sP106(vd1287,vd1289)
| ~ spl119_71 ),
inference(superposition,[],[f1871,f2403]) ).
fof(f2403,plain,
( vangle(vd1287,vd1289,vd1329) = vangle(vd1287,sK2,vd1303)
| ~ spl119_71 ),
inference(avatar_component_clause,[],[f2401]) ).
fof(f8339,plain,
( vd1289 != vd1303
| rR(vd1303,vd1287,vd1289)
| ~ rR(vd1289,vd1287,vd1303) ),
introduced(theory_tautology_sat_conflict,[]) ).
fof(f6605,plain,
( ~ spl119_160
| ~ spl119_5
| ~ spl119_9
| ~ spl119_33
| ~ spl119_54 ),
inference(avatar_split_clause,[],[f6598,f2194,f2076,f1943,f1923,f6602]) ).
fof(f6602,plain,
( spl119_160
<=> rR(sK2,vd1287,vd1287) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_160])]) ).
fof(f6598,plain,
( ~ rR(sK2,vd1287,vd1287)
| ~ spl119_5
| ~ spl119_9
| ~ spl119_33
| ~ spl119_54 ),
inference(subsumption_resolution,[],[f6595,f2078]) ).
fof(f6595,plain,
( ~ rR(sK2,vd1287,vd1287)
| ~ rpoint(vd1287)
| ~ spl119_5
| ~ spl119_9
| ~ spl119_33
| ~ spl119_54 ),
inference(resolution,[],[f6588,f2196]) ).
fof(f6588,plain,
( ! [X0] :
( ~ rR(sK2,X0,vd1300)
| ~ rR(sK2,X0,vd1287)
| ~ rpoint(X0) )
| ~ spl119_5
| ~ spl119_9
| ~ spl119_33
| ~ spl119_54 ),
inference(subsumption_resolution,[],[f6587,f1925]) ).
fof(f6587,plain,
( ! [X0] :
( ~ rpoint(X0)
| ~ rpoint(vd1300)
| ~ rR(sK2,X0,vd1287)
| ~ rR(sK2,X0,vd1300) )
| ~ spl119_9
| ~ spl119_33
| ~ spl119_54 ),
inference(subsumption_resolution,[],[f6586,f2078]) ).
fof(f6586,plain,
( ! [X0] :
( ~ rpoint(X0)
| ~ rpoint(vd1287)
| ~ rpoint(vd1300)
| ~ rR(sK2,X0,vd1287)
| ~ rR(sK2,X0,vd1300) )
| ~ spl119_9
| ~ spl119_54 ),
inference(subsumption_resolution,[],[f6576,f1945]) ).
fof(f6576,plain,
( ! [X0] :
( ~ rpoint(X0)
| ~ rpoint(sK2)
| ~ rpoint(vd1287)
| ~ rpoint(vd1300)
| ~ rR(sK2,X0,vd1287)
| ~ rR(sK2,X0,vd1300) )
| ~ spl119_54 ),
inference(resolution,[],[f1226,f2196]) ).
fof(f3626,plain,
( ~ spl119_145
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| spl119_142 ),
inference(avatar_split_clause,[],[f3612,f3584,f2076,f2060,f1933,f3623]) ).
fof(f3623,plain,
( spl119_145
<=> rR(vd1303,vd1287,vd1289) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_145])]) ).
fof(f3612,plain,
( ~ rR(vd1303,vd1287,vd1289)
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| spl119_142 ),
inference(subsumption_resolution,[],[f3611,f2062]) ).
fof(f3611,plain,
( ~ rpoint(vd1289)
| ~ rR(vd1303,vd1287,vd1289)
| ~ spl119_7
| ~ spl119_33
| spl119_142 ),
inference(subsumption_resolution,[],[f3610,f1935]) ).
fof(f3610,plain,
( ~ rpoint(vd1303)
| ~ rpoint(vd1289)
| ~ rR(vd1303,vd1287,vd1289)
| ~ spl119_33
| spl119_142 ),
inference(subsumption_resolution,[],[f3609,f2078]) ).
fof(f3609,plain,
( ~ rpoint(vd1287)
| ~ rpoint(vd1303)
| ~ rpoint(vd1289)
| ~ rR(vd1303,vd1287,vd1289)
| spl119_142 ),
inference(resolution,[],[f3586,f1064]) ).
fof(f3587,plain,
( ~ spl119_142
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53 ),
inference(avatar_split_clause,[],[f3574,f2189,f2076,f2060,f1933,f3584]) ).
fof(f3574,plain,
( ~ rR(vd1303,vd1289,vd1287)
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53 ),
inference(subsumption_resolution,[],[f3573,f1935]) ).
fof(f3573,plain,
( ~ rR(vd1303,vd1289,vd1287)
| ~ rpoint(vd1303)
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53 ),
inference(subsumption_resolution,[],[f3572,f2078]) ).
fof(f3572,plain,
( ~ rpoint(vd1287)
| ~ rR(vd1303,vd1289,vd1287)
| ~ rpoint(vd1303)
| ~ spl119_30
| ~ spl119_53 ),
inference(subsumption_resolution,[],[f3563,f2062]) ).
fof(f3563,plain,
( ~ rpoint(vd1289)
| ~ rpoint(vd1287)
| ~ rR(vd1303,vd1289,vd1287)
| ~ rpoint(vd1303)
| ~ spl119_53 ),
inference(resolution,[],[f3510,f2191]) ).
fof(f3510,plain,
! [X2,X0,X1] :
( ~ rR(X1,X2,X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rR(X0,X1,X2)
| ~ rpoint(X0) ),
inference(duplicate_literal_removal,[],[f3507]) ).
fof(f3507,plain,
! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rR(X0,X1,X2)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rR(X1,X2,X0) ),
inference(resolution,[],[f1075,f1064]) ).
fof(f3522,plain,
( ~ spl119_137
| ~ spl119_5
| ~ spl119_6
| ~ spl119_33
| ~ spl119_52 ),
inference(avatar_split_clause,[],[f3513,f2184,f2076,f1928,f1923,f3519]) ).
fof(f3513,plain,
( ~ rR(vd1287,vd1329,vd1300)
| ~ spl119_5
| ~ spl119_6
| ~ spl119_33
| ~ spl119_52 ),
inference(subsumption_resolution,[],[f3512,f1925]) ).
fof(f3512,plain,
( ~ rpoint(vd1300)
| ~ rR(vd1287,vd1329,vd1300)
| ~ spl119_6
| ~ spl119_33
| ~ spl119_52 ),
inference(subsumption_resolution,[],[f3511,f1930]) ).
fof(f3511,plain,
( ~ rpoint(vd1329)
| ~ rpoint(vd1300)
| ~ rR(vd1287,vd1329,vd1300)
| ~ spl119_33
| ~ spl119_52 ),
inference(subsumption_resolution,[],[f3504,f2078]) ).
fof(f3504,plain,
( ~ rpoint(vd1287)
| ~ rpoint(vd1329)
| ~ rpoint(vd1300)
| ~ rR(vd1287,vd1329,vd1300)
| ~ spl119_52 ),
inference(resolution,[],[f1075,f2186]) ).
fof(f3161,plain,
( spl119_120
| ~ spl119_7
| ~ spl119_33
| ~ spl119_115 ),
inference(avatar_split_clause,[],[f3074,f3049,f2076,f1933,f3105]) ).
fof(f3105,plain,
( spl119_120
<=> sK16(vd1287,vd1303) = sK16(vd1303,vd1287) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_120])]) ).
fof(f3049,plain,
( spl119_115
<=> vf(vd1303,vd1287) = sK16(vd1287,vd1303) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_115])]) ).
fof(f3074,plain,
( sK16(vd1287,vd1303) = sK16(vd1303,vd1287)
| ~ spl119_7
| ~ spl119_33
| ~ spl119_115 ),
inference(subsumption_resolution,[],[f3073,f2078]) ).
fof(f3073,plain,
( sK16(vd1287,vd1303) = sK16(vd1303,vd1287)
| ~ rpoint(vd1287)
| ~ spl119_7
| ~ spl119_115 ),
inference(subsumption_resolution,[],[f3070,f1935]) ).
fof(f3070,plain,
( sK16(vd1287,vd1303) = sK16(vd1303,vd1287)
| ~ rpoint(vd1303)
| ~ rpoint(vd1287)
| ~ spl119_115 ),
inference(superposition,[],[f1055,f3051]) ).
fof(f3051,plain,
( vf(vd1303,vd1287) = sK16(vd1287,vd1303)
| ~ spl119_115 ),
inference(avatar_component_clause,[],[f3049]) ).
fof(f1055,plain,
! [X3,X4] :
( vf(X3,X4) = sK16(X3,X4)
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1054]) ).
fof(f1054,plain,
! [X3,X1,X4] :
( sK16(X3,X1) = vf(X3,X1)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4 ),
inference(equality_resolution,[],[f790]) ).
fof(f790,plain,
! [X3,X0,X1,X4] :
( vf(X0,X1) = sK16(X0,X1)
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(cnf_transformation,[],[f577]) ).
fof(f577,plain,
! [X0,X1] :
( ( rreal(sK16(X0,X1))
& vf(X0,X1) = sK16(X0,X1) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f575,f576]) ).
fof(f576,plain,
! [X0,X1] :
( ? [X2] :
( rreal(X2)
& vf(X0,X1) = X2 )
=> ( rreal(sK16(X0,X1))
& vf(X0,X1) = sK16(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f575,plain,
! [X0,X1] :
( ? [X2] :
( rreal(X2)
& vf(X0,X1) = X2 )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 ) ),
inference(rectify,[],[f367]) ).
fof(f367,plain,
! [X0,X1] :
( ? [X4] :
( rreal(X4)
& vf(X0,X1) = X4 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f366]) ).
fof(f366,plain,
! [X0,X1] :
( ? [X4] :
( rreal(X4)
& vf(X0,X1) = X4 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> ? [X4] :
( rreal(X4)
& vf(X0,X1) = X4 ) ),
inference(rectify,[],[f88]) ).
fof(f88,axiom,
! [X100,X101] :
( ( ? [X103] :
( rpoint(X103)
& X100 = X103 )
& ? [X102] :
( rpoint(X102)
& X101 = X102 ) )
=> ? [X104] :
( rreal(X104)
& vf(X100,X101) = X104 ) ),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).
fof(f3130,plain,
( spl119_123
| ~ spl119_7
| ~ spl119_33
| ~ spl119_105
| ~ spl119_115 ),
inference(avatar_split_clause,[],[f3100,f3049,f2914,f2076,f1933,f3127]) ).
fof(f2914,plain,
( spl119_105
<=> vf(vd1287,vd1303) = sK16(vd1287,vd1303) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_105])]) ).
fof(f3100,plain,
( vf(vd1287,vd1303) = sK16(vd1303,vd1287)
| ~ spl119_7
| ~ spl119_33
| ~ spl119_105
| ~ spl119_115 ),
inference(backward_demodulation,[],[f2916,f3072]) ).
fof(f3072,plain,
( sK16(vd1287,vd1303) = sK16(vd1303,vd1287)
| ~ spl119_7
| ~ spl119_33
| ~ spl119_115 ),
inference(subsumption_resolution,[],[f3071,f2078]) ).
fof(f3071,plain,
( sK16(vd1287,vd1303) = sK16(vd1303,vd1287)
| ~ rpoint(vd1287)
| ~ spl119_7
| ~ spl119_115 ),
inference(subsumption_resolution,[],[f3069,f1935]) ).
fof(f3069,plain,
( sK16(vd1287,vd1303) = sK16(vd1303,vd1287)
| ~ rpoint(vd1303)
| ~ rpoint(vd1287)
| ~ spl119_115 ),
inference(superposition,[],[f3051,f1055]) ).
fof(f2916,plain,
( vf(vd1287,vd1303) = sK16(vd1287,vd1303)
| ~ spl119_105 ),
inference(avatar_component_clause,[],[f2914]) ).
fof(f3118,plain,
( spl119_122
| ~ spl119_7
| ~ spl119_33
| ~ spl119_103
| ~ spl119_115 ),
inference(avatar_split_clause,[],[f3098,f3049,f2897,f2076,f1933,f3115]) ).
fof(f2897,plain,
( spl119_103
<=> vf(vd1287,vd1329) = sK16(vd1287,vd1303) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_103])]) ).
fof(f3098,plain,
( vf(vd1287,vd1329) = sK16(vd1303,vd1287)
| ~ spl119_7
| ~ spl119_33
| ~ spl119_103
| ~ spl119_115 ),
inference(backward_demodulation,[],[f2899,f3072]) ).
fof(f2899,plain,
( vf(vd1287,vd1329) = sK16(vd1287,vd1303)
| ~ spl119_103 ),
inference(avatar_component_clause,[],[f2897]) ).
fof(f3113,plain,
( spl119_121
| ~ spl119_7
| ~ spl119_33
| ~ spl119_114
| ~ spl119_115 ),
inference(avatar_split_clause,[],[f3101,f3049,f3042,f2076,f1933,f3110]) ).
fof(f3042,plain,
( spl119_114
<=> rreal(sK16(vd1287,vd1303)) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_114])]) ).
fof(f3101,plain,
( rreal(sK16(vd1303,vd1287))
| ~ spl119_7
| ~ spl119_33
| ~ spl119_114
| ~ spl119_115 ),
inference(backward_demodulation,[],[f3044,f3072]) ).
fof(f3044,plain,
( rreal(sK16(vd1287,vd1303))
| ~ spl119_114 ),
inference(avatar_component_clause,[],[f3042]) ).
fof(f3065,plain,
( spl119_116
| ~ spl119_30
| ~ spl119_33
| ~ spl119_107 ),
inference(avatar_split_clause,[],[f3060,f2964,f2076,f2060,f3062]) ).
fof(f2964,plain,
( spl119_107
<=> sK16(vd1287,vd1289) = sK16(vd1287,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_107])]) ).
fof(f3060,plain,
( rreal(sK16(vd1287,sK2))
| ~ spl119_30
| ~ spl119_33
| ~ spl119_107 ),
inference(subsumption_resolution,[],[f3059,f2062]) ).
fof(f3059,plain,
( rreal(sK16(vd1287,sK2))
| ~ rpoint(vd1289)
| ~ spl119_33
| ~ spl119_107 ),
inference(subsumption_resolution,[],[f3058,f2078]) ).
fof(f3058,plain,
( rreal(sK16(vd1287,sK2))
| ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| ~ spl119_107 ),
inference(superposition,[],[f1053,f2966]) ).
fof(f2966,plain,
( sK16(vd1287,vd1289) = sK16(vd1287,sK2)
| ~ spl119_107 ),
inference(avatar_component_clause,[],[f2964]) ).
fof(f1053,plain,
! [X3,X4] :
( rreal(sK16(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1052]) ).
fof(f1052,plain,
! [X3,X1,X4] :
( rreal(sK16(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4 ),
inference(equality_resolution,[],[f791]) ).
fof(f791,plain,
! [X3,X0,X1,X4] :
( rreal(sK16(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(cnf_transformation,[],[f577]) ).
fof(f3055,plain,
( spl119_115
| ~ spl119_7
| ~ spl119_33
| ~ spl119_105 ),
inference(avatar_split_clause,[],[f2931,f2914,f2076,f1933,f3049]) ).
fof(f2931,plain,
( vf(vd1303,vd1287) = sK16(vd1287,vd1303)
| ~ spl119_7
| ~ spl119_33
| ~ spl119_105 ),
inference(subsumption_resolution,[],[f2930,f2078]) ).
fof(f2930,plain,
( vf(vd1303,vd1287) = sK16(vd1287,vd1303)
| ~ rpoint(vd1287)
| ~ spl119_7
| ~ spl119_105 ),
inference(subsumption_resolution,[],[f2923,f1935]) ).
fof(f2923,plain,
( vf(vd1303,vd1287) = sK16(vd1287,vd1303)
| ~ rpoint(vd1303)
| ~ rpoint(vd1287)
| ~ spl119_105 ),
inference(superposition,[],[f1040,f2916]) ).
fof(f1040,plain,
! [X2,X3] :
( vf(X3,X2) = vf(X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1039]) ).
fof(f1039,plain,
! [X2,X3,X1] :
( vf(X1,X2) = vf(X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| X1 != X3 ),
inference(equality_resolution,[],[f784]) ).
fof(f784,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f361]) ).
fof(f361,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f360]) ).
fof(f360,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> vf(X0,X1) = vf(X1,X0) ),
inference(rectify,[],[f87]) ).
fof(f87,axiom,
! [X96,X97] :
( ( ? [X99] :
( rpoint(X99)
& X96 = X99 )
& ? [X98] :
( rpoint(X98)
& X97 = X98 ) )
=> vf(X96,X97) = vf(X97,X96) ),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof(f3045,plain,
( spl119_114
| ~ spl119_6
| ~ spl119_33
| ~ spl119_102 ),
inference(avatar_split_clause,[],[f3040,f2892,f2076,f1928,f3042]) ).
fof(f2892,plain,
( spl119_102
<=> sK16(vd1287,vd1329) = sK16(vd1287,vd1303) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_102])]) ).
fof(f3040,plain,
( rreal(sK16(vd1287,vd1303))
| ~ spl119_6
| ~ spl119_33
| ~ spl119_102 ),
inference(subsumption_resolution,[],[f3039,f1930]) ).
fof(f3039,plain,
( rreal(sK16(vd1287,vd1303))
| ~ rpoint(vd1329)
| ~ spl119_33
| ~ spl119_102 ),
inference(subsumption_resolution,[],[f3038,f2078]) ).
fof(f3038,plain,
( rreal(sK16(vd1287,vd1303))
| ~ rpoint(vd1287)
| ~ rpoint(vd1329)
| ~ spl119_102 ),
inference(superposition,[],[f1053,f2894]) ).
fof(f2894,plain,
( sK16(vd1287,vd1329) = sK16(vd1287,vd1303)
| ~ spl119_102 ),
inference(avatar_component_clause,[],[f2892]) ).
fof(f2986,plain,
( spl119_107
| ~ spl119_9
| ~ spl119_33
| ~ spl119_87 ),
inference(avatar_split_clause,[],[f2772,f2658,f2076,f1943,f2964]) ).
fof(f2658,plain,
( spl119_87
<=> vf(vd1287,sK2) = sK16(vd1287,vd1289) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_87])]) ).
fof(f2772,plain,
( sK16(vd1287,vd1289) = sK16(vd1287,sK2)
| ~ spl119_9
| ~ spl119_33
| ~ spl119_87 ),
inference(subsumption_resolution,[],[f2771,f1945]) ).
fof(f2771,plain,
( sK16(vd1287,vd1289) = sK16(vd1287,sK2)
| ~ rpoint(sK2)
| ~ spl119_33
| ~ spl119_87 ),
inference(subsumption_resolution,[],[f2768,f2078]) ).
fof(f2768,plain,
( sK16(vd1287,vd1289) = sK16(vd1287,sK2)
| ~ rpoint(vd1287)
| ~ rpoint(sK2)
| ~ spl119_87 ),
inference(superposition,[],[f1055,f2660]) ).
fof(f2660,plain,
( vf(vd1287,sK2) = sK16(vd1287,vd1289)
| ~ spl119_87 ),
inference(avatar_component_clause,[],[f2658]) ).
fof(f2983,plain,
( spl119_109
| ~ spl119_9
| ~ spl119_33
| ~ spl119_87 ),
inference(avatar_split_clause,[],[f2961,f2658,f2076,f1943,f2980]) ).
fof(f2961,plain,
( vf(vd1287,sK2) = sK16(vd1287,sK2)
| ~ spl119_9
| ~ spl119_33
| ~ spl119_87 ),
inference(backward_demodulation,[],[f2660,f2770]) ).
fof(f2770,plain,
( sK16(vd1287,vd1289) = sK16(vd1287,sK2)
| ~ spl119_9
| ~ spl119_33
| ~ spl119_87 ),
inference(subsumption_resolution,[],[f2769,f1945]) ).
fof(f2769,plain,
( sK16(vd1287,vd1289) = sK16(vd1287,sK2)
| ~ rpoint(sK2)
| ~ spl119_33
| ~ spl119_87 ),
inference(subsumption_resolution,[],[f2767,f2078]) ).
fof(f2767,plain,
( sK16(vd1287,vd1289) = sK16(vd1287,sK2)
| ~ rpoint(vd1287)
| ~ rpoint(sK2)
| ~ spl119_87 ),
inference(superposition,[],[f2660,f1055]) ).
fof(f2972,plain,
( spl119_108
| ~ spl119_9
| ~ spl119_33
| ~ spl119_87
| ~ spl119_88 ),
inference(avatar_split_clause,[],[f2962,f2663,f2658,f2076,f1943,f2969]) ).
fof(f2663,plain,
( spl119_88
<=> vf(vd1287,vd1289) = sK16(vd1287,vd1289) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_88])]) ).
fof(f2962,plain,
( vf(vd1287,vd1289) = sK16(vd1287,sK2)
| ~ spl119_9
| ~ spl119_33
| ~ spl119_87
| ~ spl119_88 ),
inference(backward_demodulation,[],[f2665,f2770]) ).
fof(f2665,plain,
( vf(vd1287,vd1289) = sK16(vd1287,vd1289)
| ~ spl119_88 ),
inference(avatar_component_clause,[],[f2663]) ).
fof(f2957,plain,
( spl119_102
| ~ spl119_7
| ~ spl119_33
| ~ spl119_84 ),
inference(avatar_split_clause,[],[f2739,f2633,f2076,f1933,f2892]) ).
fof(f2633,plain,
( spl119_84
<=> vf(vd1287,vd1303) = sK16(vd1287,vd1329) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_84])]) ).
fof(f2739,plain,
( sK16(vd1287,vd1329) = sK16(vd1287,vd1303)
| ~ spl119_7
| ~ spl119_33
| ~ spl119_84 ),
inference(subsumption_resolution,[],[f2738,f1935]) ).
fof(f2738,plain,
( sK16(vd1287,vd1329) = sK16(vd1287,vd1303)
| ~ rpoint(vd1303)
| ~ spl119_33
| ~ spl119_84 ),
inference(subsumption_resolution,[],[f2729,f2078]) ).
fof(f2729,plain,
( sK16(vd1287,vd1329) = sK16(vd1287,vd1303)
| ~ rpoint(vd1287)
| ~ rpoint(vd1303)
| ~ spl119_84 ),
inference(superposition,[],[f1055,f2635]) ).
fof(f2635,plain,
( vf(vd1287,vd1303) = sK16(vd1287,vd1329)
| ~ spl119_84 ),
inference(avatar_component_clause,[],[f2633]) ).
fof(f2917,plain,
( spl119_105
| ~ spl119_7
| ~ spl119_33
| ~ spl119_84 ),
inference(avatar_split_clause,[],[f2888,f2633,f2076,f1933,f2914]) ).
fof(f2888,plain,
( vf(vd1287,vd1303) = sK16(vd1287,vd1303)
| ~ spl119_7
| ~ spl119_33
| ~ spl119_84 ),
inference(backward_demodulation,[],[f2635,f2733]) ).
fof(f2733,plain,
( sK16(vd1287,vd1329) = sK16(vd1287,vd1303)
| ~ spl119_7
| ~ spl119_33
| ~ spl119_84 ),
inference(subsumption_resolution,[],[f2732,f1935]) ).
fof(f2732,plain,
( sK16(vd1287,vd1329) = sK16(vd1287,vd1303)
| ~ rpoint(vd1303)
| ~ spl119_33
| ~ spl119_84 ),
inference(subsumption_resolution,[],[f2726,f2078]) ).
fof(f2726,plain,
( sK16(vd1287,vd1329) = sK16(vd1287,vd1303)
| ~ rpoint(vd1287)
| ~ rpoint(vd1303)
| ~ spl119_84 ),
inference(superposition,[],[f2635,f1055]) ).
fof(f2900,plain,
( spl119_103
| ~ spl119_7
| ~ spl119_33
| ~ spl119_84
| ~ spl119_85 ),
inference(avatar_split_clause,[],[f2890,f2638,f2633,f2076,f1933,f2897]) ).
fof(f2638,plain,
( spl119_85
<=> vf(vd1287,vd1329) = sK16(vd1287,vd1329) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_85])]) ).
fof(f2890,plain,
( vf(vd1287,vd1329) = sK16(vd1287,vd1303)
| ~ spl119_7
| ~ spl119_33
| ~ spl119_84
| ~ spl119_85 ),
inference(backward_demodulation,[],[f2640,f2733]) ).
fof(f2640,plain,
( vf(vd1287,vd1329) = sK16(vd1287,vd1329)
| ~ spl119_85 ),
inference(avatar_component_clause,[],[f2638]) ).
fof(f2668,plain,
( spl119_84
| ~ spl119_6
| ~ spl119_33
| ~ spl119_67 ),
inference(avatar_split_clause,[],[f2578,f2372,f2076,f1928,f2633]) ).
fof(f2372,plain,
( spl119_67
<=> vf(vd1287,vd1329) = vf(vd1287,vd1303) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_67])]) ).
fof(f2578,plain,
( vf(vd1287,vd1303) = sK16(vd1287,vd1329)
| ~ spl119_6
| ~ spl119_33
| ~ spl119_67 ),
inference(subsumption_resolution,[],[f2577,f1930]) ).
fof(f2577,plain,
( vf(vd1287,vd1303) = sK16(vd1287,vd1329)
| ~ rpoint(vd1329)
| ~ spl119_33
| ~ spl119_67 ),
inference(subsumption_resolution,[],[f2559,f2078]) ).
fof(f2559,plain,
( vf(vd1287,vd1303) = sK16(vd1287,vd1329)
| ~ rpoint(vd1287)
| ~ rpoint(vd1329)
| ~ spl119_67 ),
inference(superposition,[],[f2374,f1055]) ).
fof(f2374,plain,
( vf(vd1287,vd1329) = vf(vd1287,vd1303)
| ~ spl119_67 ),
inference(avatar_component_clause,[],[f2372]) ).
fof(f2667,plain,
( spl119_87
| ~ spl119_30
| ~ spl119_33
| ~ spl119_68 ),
inference(avatar_split_clause,[],[f2576,f2377,f2076,f2060,f2658]) ).
fof(f2377,plain,
( spl119_68
<=> vf(vd1287,vd1289) = vf(vd1287,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_68])]) ).
fof(f2576,plain,
( vf(vd1287,sK2) = sK16(vd1287,vd1289)
| ~ spl119_30
| ~ spl119_33
| ~ spl119_68 ),
inference(subsumption_resolution,[],[f2575,f2062]) ).
fof(f2575,plain,
( vf(vd1287,sK2) = sK16(vd1287,vd1289)
| ~ rpoint(vd1289)
| ~ spl119_33
| ~ spl119_68 ),
inference(subsumption_resolution,[],[f2558,f2078]) ).
fof(f2558,plain,
( vf(vd1287,sK2) = sK16(vd1287,vd1289)
| ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| ~ spl119_68 ),
inference(superposition,[],[f2379,f1055]) ).
fof(f2379,plain,
( vf(vd1287,vd1289) = vf(vd1287,sK2)
| ~ spl119_68 ),
inference(avatar_component_clause,[],[f2377]) ).
fof(f2666,plain,
( spl119_88
| ~ spl119_30
| ~ spl119_33
| ~ spl119_68 ),
inference(avatar_split_clause,[],[f2656,f2377,f2076,f2060,f2663]) ).
fof(f2656,plain,
( vf(vd1287,vd1289) = sK16(vd1287,vd1289)
| ~ spl119_30
| ~ spl119_33
| ~ spl119_68 ),
inference(backward_demodulation,[],[f2379,f2574]) ).
fof(f2574,plain,
( vf(vd1287,sK2) = sK16(vd1287,vd1289)
| ~ spl119_30
| ~ spl119_33
| ~ spl119_68 ),
inference(subsumption_resolution,[],[f2573,f2062]) ).
fof(f2573,plain,
( vf(vd1287,sK2) = sK16(vd1287,vd1289)
| ~ rpoint(vd1289)
| ~ spl119_33
| ~ spl119_68 ),
inference(subsumption_resolution,[],[f2554,f2078]) ).
fof(f2554,plain,
( vf(vd1287,sK2) = sK16(vd1287,vd1289)
| ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| ~ spl119_68 ),
inference(superposition,[],[f1055,f2379]) ).
fof(f2641,plain,
( spl119_85
| ~ spl119_6
| ~ spl119_33
| ~ spl119_67 ),
inference(avatar_split_clause,[],[f2630,f2372,f2076,f1928,f2638]) ).
fof(f2630,plain,
( vf(vd1287,vd1329) = sK16(vd1287,vd1329)
| ~ spl119_6
| ~ spl119_33
| ~ spl119_67 ),
inference(backward_demodulation,[],[f2374,f2572]) ).
fof(f2572,plain,
( vf(vd1287,vd1303) = sK16(vd1287,vd1329)
| ~ spl119_6
| ~ spl119_33
| ~ spl119_67 ),
inference(subsumption_resolution,[],[f2571,f1930]) ).
fof(f2571,plain,
( vf(vd1287,vd1303) = sK16(vd1287,vd1329)
| ~ rpoint(vd1329)
| ~ spl119_33
| ~ spl119_67 ),
inference(subsumption_resolution,[],[f2553,f2078]) ).
fof(f2553,plain,
( vf(vd1287,vd1303) = sK16(vd1287,vd1329)
| ~ rpoint(vd1287)
| ~ rpoint(vd1329)
| ~ spl119_67 ),
inference(superposition,[],[f1055,f2374]) ).
fof(f2415,plain,
( spl119_73
| ~ spl119_69
| ~ spl119_70 ),
inference(avatar_split_clause,[],[f2410,f2396,f2391,f2412]) ).
fof(f2391,plain,
( spl119_69
<=> vangle(vd1289,vd1287,vd1329) = vangle(vd1289,vd1287,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_69])]) ).
fof(f2410,plain,
( vangle(vd1289,vd1287,vd1329) = vangle(vd1303,vd1287,sK2)
| ~ spl119_69
| ~ spl119_70 ),
inference(backward_demodulation,[],[f2393,f2398]) ).
fof(f2393,plain,
( vangle(vd1289,vd1287,vd1329) = vangle(vd1289,vd1287,sK2)
| ~ spl119_69 ),
inference(avatar_component_clause,[],[f2391]) ).
fof(f2409,plain,
( spl119_72
| ~ spl119_27
| ~ spl119_31 ),
inference(avatar_split_clause,[],[f2387,f2065,f2042,f2406]) ).
fof(f2042,plain,
( spl119_27
<=> vd1302 = vd1303 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_27])]) ).
fof(f2065,plain,
( spl119_31
<=> vd1288 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_31])]) ).
fof(f2387,plain,
( vangle(vd1287,vd1329,vd1289) = vangle(vd1287,vd1303,sK2)
| ~ spl119_27
| ~ spl119_31 ),
inference(forward_demodulation,[],[f2386,f2044]) ).
fof(f2044,plain,
( vd1302 = vd1303
| ~ spl119_27 ),
inference(avatar_component_clause,[],[f2042]) ).
fof(f2386,plain,
( vangle(vd1287,vd1329,vd1289) = vangle(vd1287,vd1302,sK2)
| ~ spl119_31 ),
inference(forward_demodulation,[],[f704,f2067]) ).
fof(f2067,plain,
( vd1288 = sK2
| ~ spl119_31 ),
inference(avatar_component_clause,[],[f2065]) ).
fof(f704,plain,
vangle(vd1287,vd1302,vd1288) = vangle(vd1287,vd1329,vd1289),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
vangle(vd1287,vd1302,vd1288) = vangle(vd1287,vd1329,vd1289),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','holds(conjunct1(conjunct2(375)), 1344, 0)') ).
fof(f2404,plain,
( spl119_71
| ~ spl119_27
| ~ spl119_31 ),
inference(avatar_split_clause,[],[f2385,f2065,f2042,f2401]) ).
fof(f2385,plain,
( vangle(vd1287,vd1289,vd1329) = vangle(vd1287,sK2,vd1303)
| ~ spl119_27
| ~ spl119_31 ),
inference(forward_demodulation,[],[f2384,f2067]) ).
fof(f2384,plain,
( vangle(vd1287,vd1289,vd1329) = vangle(vd1287,vd1288,vd1303)
| ~ spl119_27 ),
inference(forward_demodulation,[],[f703,f2044]) ).
fof(f703,plain,
vangle(vd1287,vd1289,vd1329) = vangle(vd1287,vd1288,vd1302),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
vangle(vd1287,vd1289,vd1329) = vangle(vd1287,vd1288,vd1302),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','holds(conjunct2(conjunct2(375)), 1345, 0)') ).
fof(f2399,plain,
( spl119_70
| ~ spl119_27
| ~ spl119_31 ),
inference(avatar_split_clause,[],[f2383,f2065,f2042,f2396]) ).
fof(f2383,plain,
( vangle(vd1289,vd1287,sK2) = vangle(vd1303,vd1287,sK2)
| ~ spl119_27
| ~ spl119_31 ),
inference(forward_demodulation,[],[f2382,f2044]) ).
fof(f2382,plain,
( vangle(vd1289,vd1287,sK2) = vangle(vd1302,vd1287,sK2)
| ~ spl119_31 ),
inference(forward_demodulation,[],[f702,f2067]) ).
fof(f702,plain,
vangle(vd1289,vd1287,vd1288) = vangle(vd1302,vd1287,vd1288),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
vangle(vd1289,vd1287,vd1288) = vangle(vd1302,vd1287,vd1288),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','holds(374, 1342, 0)') ).
fof(f2394,plain,
( spl119_69
| ~ spl119_31 ),
inference(avatar_split_clause,[],[f2381,f2065,f2391]) ).
fof(f2381,plain,
( vangle(vd1289,vd1287,vd1329) = vangle(vd1289,vd1287,sK2)
| ~ spl119_31 ),
inference(forward_demodulation,[],[f701,f2067]) ).
fof(f701,plain,
vangle(vd1289,vd1287,vd1288) = vangle(vd1289,vd1287,vd1329),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
vangle(vd1289,vd1287,vd1288) = vangle(vd1289,vd1287,vd1329),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','holds(373, 1341, 0)') ).
fof(f2380,plain,
( spl119_68
| ~ spl119_31 ),
inference(avatar_split_clause,[],[f2218,f2065,f2377]) ).
fof(f2218,plain,
( vf(vd1287,vd1289) = vf(vd1287,sK2)
| ~ spl119_31 ),
inference(forward_demodulation,[],[f709,f2067]) ).
fof(f709,plain,
vf(vd1287,vd1288) = vf(vd1287,vd1289),
inference(cnf_transformation,[],[f547]) ).
fof(f547,plain,
( rpoint(sK1)
& vd1287 = sK1
& rpoint(sK2)
& vd1288 = sK2
& rpoint(sK3)
& vd1289 = sK3
& vd1288 != vd1287
& vd1289 != vd1287
& vd1289 != vd1288
& vf(vd1287,vd1288) = vf(vd1287,vd1289) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f186,f546,f545,f544]) ).
fof(f544,plain,
( ? [X0] :
( rpoint(X0)
& vd1287 = X0 )
=> ( rpoint(sK1)
& vd1287 = sK1 ) ),
introduced(choice_axiom,[]) ).
fof(f545,plain,
( ? [X1] :
( rpoint(X1)
& vd1288 = X1 )
=> ( rpoint(sK2)
& vd1288 = sK2 ) ),
introduced(choice_axiom,[]) ).
fof(f546,plain,
( ? [X2] :
( rpoint(X2)
& vd1289 = X2 )
=> ( rpoint(sK3)
& vd1289 = sK3 ) ),
introduced(choice_axiom,[]) ).
fof(f186,plain,
( ? [X0] :
( rpoint(X0)
& vd1287 = X0 )
& ? [X1] :
( rpoint(X1)
& vd1288 = X1 )
& ? [X2] :
( rpoint(X2)
& vd1289 = X2 )
& vd1288 != vd1287
& vd1289 != vd1287
& vd1289 != vd1288
& vf(vd1287,vd1288) = vf(vd1287,vd1289) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
( ? [X16] :
( rpoint(X16)
& vd1287 = X16 )
& ? [X15] :
( rpoint(X15)
& vd1288 = X15 )
& ? [X14] :
( rpoint(X14)
& vd1289 = X14 )
& vd1288 != vd1287
& vd1289 != vd1287
& vd1289 != vd1288
& vf(vd1287,vd1288) = vf(vd1287,vd1289) ),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))') ).
fof(f2375,plain,
( spl119_67
| ~ spl119_27 ),
inference(avatar_split_clause,[],[f2217,f2042,f2372]) ).
fof(f2217,plain,
( vf(vd1287,vd1329) = vf(vd1287,vd1303)
| ~ spl119_27 ),
inference(forward_demodulation,[],[f700,f2044]) ).
fof(f700,plain,
vf(vd1287,vd1302) = vf(vd1287,vd1329),
inference(cnf_transformation,[],[f26]) ).
fof(f26,axiom,
vf(vd1287,vd1302) = vf(vd1287,vd1329),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','holds(conjunct2(367), 1331, 0)') ).
fof(f2364,plain,
( ~ spl119_65
| ~ spl119_19
| ~ spl119_27 ),
inference(avatar_split_clause,[],[f2212,f2042,f1996,f2361]) ).
fof(f2361,plain,
( spl119_65
<=> rless(vf(vd1287,vd1300),vf(vd1287,vd1303)) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_65])]) ).
fof(f1996,plain,
( spl119_19
<=> vd1299 = vd1300 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_19])]) ).
fof(f2212,plain,
( ~ rless(vf(vd1287,vd1300),vf(vd1287,vd1303))
| ~ spl119_19
| ~ spl119_27 ),
inference(forward_demodulation,[],[f2211,f1998]) ).
fof(f1998,plain,
( vd1299 = vd1300
| ~ spl119_19 ),
inference(avatar_component_clause,[],[f1996]) ).
fof(f2211,plain,
( ~ rless(vf(vd1287,vd1299),vf(vd1287,vd1303))
| ~ spl119_27 ),
inference(forward_demodulation,[],[f697,f2044]) ).
fof(f697,plain,
~ rless(vf(vd1287,vd1299),vf(vd1287,vd1302)),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
~ rless(vf(vd1287,vd1299),vf(vd1287,vd1302)),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','neg(neg(366))') ).
fof(f2210,plain,
( spl119_56
| ~ spl119_31 ),
inference(avatar_split_clause,[],[f2200,f2065,f2207]) ).
fof(f2200,plain,
( sF118 = vangle(sK2,vd1329,vd1289)
| ~ spl119_31 ),
inference(forward_demodulation,[],[f1893,f2067]) ).
fof(f1893,plain,
vangle(vd1288,vd1329,vd1289) = sF118,
introduced(function_definition,[]) ).
fof(f2205,plain,
( spl119_55
| ~ spl119_27
| ~ spl119_31 ),
inference(avatar_split_clause,[],[f2199,f2065,f2042,f2202]) ).
fof(f2199,plain,
( sF117 = vangle(vd1289,vd1303,sK2)
| ~ spl119_27
| ~ spl119_31 ),
inference(forward_demodulation,[],[f2198,f2044]) ).
fof(f2198,plain,
( sF117 = vangle(vd1289,vd1302,sK2)
| ~ spl119_31 ),
inference(forward_demodulation,[],[f1892,f2067]) ).
fof(f1892,plain,
vangle(vd1289,vd1302,vd1288) = sF117,
introduced(function_definition,[]) ).
fof(f2197,plain,
( spl119_54
| ~ spl119_19
| ~ spl119_31 ),
inference(avatar_split_clause,[],[f2172,f2065,f1996,f2194]) ).
fof(f2172,plain,
( rR(sK2,vd1287,vd1300)
| ~ spl119_19
| ~ spl119_31 ),
inference(forward_demodulation,[],[f2171,f2067]) ).
fof(f2171,plain,
( rR(vd1288,vd1287,vd1300)
| ~ spl119_19 ),
inference(forward_demodulation,[],[f708,f1998]) ).
fof(f708,plain,
rR(vd1288,vd1287,vd1299),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
( rR(vd1288,vd1287,vd1299)
& rpoint(vd1303)
& rR(vd1289,vd1287,vd1302)
& vd1302 = vd1303 ),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))') ).
fof(f2192,plain,
( spl119_53
| ~ spl119_27 ),
inference(avatar_split_clause,[],[f2170,f2042,f2189]) ).
fof(f2170,plain,
( rR(vd1289,vd1287,vd1303)
| ~ spl119_27 ),
inference(forward_demodulation,[],[f706,f2044]) ).
fof(f706,plain,
rR(vd1289,vd1287,vd1302),
inference(cnf_transformation,[],[f15]) ).
fof(f2187,plain,
( spl119_52
| ~ spl119_19 ),
inference(avatar_split_clause,[],[f2169,f1996,f2184]) ).
fof(f2169,plain,
( rR(vd1329,vd1287,vd1300)
| ~ spl119_19 ),
inference(forward_demodulation,[],[f696,f1998]) ).
fof(f696,plain,
rR(vd1329,vd1287,vd1299),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
rR(vd1329,vd1287,vd1299),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','holds(conjunct1(367), 1330, 0)') ).
fof(f2182,plain,
( ~ spl119_51
| ~ spl119_27 ),
inference(avatar_split_clause,[],[f2168,f2042,f2179]) ).
fof(f2168,plain,
( ~ rR(vd1287,vd1289,vd1303)
| ~ spl119_27 ),
inference(forward_demodulation,[],[f695,f2044]) ).
fof(f695,plain,
~ rR(vd1287,vd1289,vd1302),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
~ rR(vd1287,vd1289,vd1302),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','neg(neg(372))') ).
fof(f2177,plain,
( ~ spl119_50
| ~ spl119_31 ),
inference(avatar_split_clause,[],[f2167,f2065,f2174]) ).
fof(f2167,plain,
( ~ rR(vd1287,sK2,vd1329)
| ~ spl119_31 ),
inference(forward_demodulation,[],[f694,f2067]) ).
fof(f694,plain,
~ rR(vd1287,vd1288,vd1329),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
~ rR(vd1287,vd1288,vd1329),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','neg(neg(conjunct2(372)))') ).
fof(f2166,plain,
( ~ spl119_49
| spl119_13
| ~ spl119_31 ),
inference(avatar_split_clause,[],[f2131,f2065,f1964,f2163]) ).
fof(f1964,plain,
( spl119_13
<=> vd1288 = vd1287 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_13])]) ).
fof(f2131,plain,
( vd1287 != sK2
| spl119_13
| ~ spl119_31 ),
inference(backward_demodulation,[],[f1966,f2067]) ).
fof(f1966,plain,
( vd1288 != vd1287
| spl119_13 ),
inference(avatar_component_clause,[],[f1964]) ).
fof(f2161,plain,
( spl119_48
| ~ spl119_21
| ~ spl119_31 ),
inference(avatar_split_clause,[],[f2130,f2065,f2007,f2158]) ).
fof(f2007,plain,
( spl119_21
<=> ron(vd1288,vd1295) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_21])]) ).
fof(f2130,plain,
( ron(sK2,vd1295)
| ~ spl119_21
| ~ spl119_31 ),
inference(backward_demodulation,[],[f2009,f2067]) ).
fof(f2009,plain,
( ron(vd1288,vd1295)
| ~ spl119_21 ),
inference(avatar_component_clause,[],[f2007]) ).
fof(f2156,plain,
( ~ spl119_47
| spl119_28
| ~ spl119_31 ),
inference(avatar_split_clause,[],[f2129,f2065,f2047,f2153]) ).
fof(f2047,plain,
( spl119_28
<=> vd1289 = vd1288 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_28])]) ).
fof(f2129,plain,
( vd1289 != sK2
| spl119_28
| ~ spl119_31 ),
inference(backward_demodulation,[],[f2049,f2067]) ).
fof(f2049,plain,
( vd1289 != vd1288
| spl119_28 ),
inference(avatar_component_clause,[],[f2047]) ).
fof(f2146,plain,
( ~ spl119_45
| spl119_16
| ~ spl119_27 ),
inference(avatar_split_clause,[],[f2127,f2042,f1979,f2143]) ).
fof(f1979,plain,
( spl119_16
<=> vd1302 = vd1287 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_16])]) ).
fof(f2127,plain,
( vd1287 != vd1303
| spl119_16
| ~ spl119_27 ),
inference(backward_demodulation,[],[f1981,f2044]) ).
fof(f1981,plain,
( vd1302 != vd1287
| spl119_16 ),
inference(avatar_component_clause,[],[f1979]) ).
fof(f2141,plain,
( spl119_44
| ~ spl119_23
| ~ spl119_27 ),
inference(avatar_split_clause,[],[f2126,f2042,f2019,f2138]) ).
fof(f2019,plain,
( spl119_23
<=> ron(vd1302,vd1297) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_23])]) ).
fof(f2126,plain,
( ron(vd1303,vd1297)
| ~ spl119_23
| ~ spl119_27 ),
inference(backward_demodulation,[],[f2021,f2044]) ).
fof(f2021,plain,
( ron(vd1302,vd1297)
| ~ spl119_23 ),
inference(avatar_component_clause,[],[f2019]) ).
fof(f2136,plain,
( spl119_43
| ~ spl119_19
| ~ spl119_24 ),
inference(avatar_split_clause,[],[f2125,f2024,f1996,f2133]) ).
fof(f2024,plain,
( spl119_24
<=> ron(vd1299,vd1295) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_24])]) ).
fof(f2125,plain,
( ron(vd1300,vd1295)
| ~ spl119_19
| ~ spl119_24 ),
inference(forward_demodulation,[],[f2026,f1998]) ).
fof(f2026,plain,
( ron(vd1299,vd1295)
| ~ spl119_24 ),
inference(avatar_component_clause,[],[f2024]) ).
fof(f2104,plain,
( ~ spl119_3
| ~ spl119_37 ),
inference(avatar_contradiction_clause,[],[f2103]) ).
fof(f2103,plain,
( $false
| ~ spl119_3
| ~ spl119_37 ),
inference(resolution,[],[f2094,f1915]) ).
fof(f2094,plain,
( ! [X4] : ~ rline(X4)
| ~ spl119_37 ),
inference(avatar_component_clause,[],[f2093]) ).
fof(f2093,plain,
( spl119_37
<=> ! [X4] : ~ rline(X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_37])]) ).
fof(f2095,plain,
( spl119_36
| spl119_37 ),
inference(avatar_split_clause,[],[f1862,f2093,f2089]) ).
fof(f2079,plain,
( spl119_33
| ~ spl119_10 ),
inference(avatar_split_clause,[],[f2069,f1948,f2076]) ).
fof(f1948,plain,
( spl119_10
<=> rpoint(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_10])]) ).
fof(f2069,plain,
( rpoint(vd1287)
| ~ spl119_10 ),
inference(backward_demodulation,[],[f1950,f717]) ).
fof(f717,plain,
vd1287 = sK1,
inference(cnf_transformation,[],[f547]) ).
fof(f1950,plain,
( rpoint(sK1)
| ~ spl119_10 ),
inference(avatar_component_clause,[],[f1948]) ).
fof(f2068,plain,
spl119_31,
inference(avatar_split_clause,[],[f715,f2065]) ).
fof(f715,plain,
vd1288 = sK2,
inference(cnf_transformation,[],[f547]) ).
fof(f2063,plain,
( spl119_30
| ~ spl119_8 ),
inference(avatar_split_clause,[],[f2053,f1938,f2060]) ).
fof(f1938,plain,
( spl119_8
<=> rpoint(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_8])]) ).
fof(f2053,plain,
( rpoint(vd1289)
| ~ spl119_8 ),
inference(backward_demodulation,[],[f1940,f713]) ).
fof(f713,plain,
vd1289 = sK3,
inference(cnf_transformation,[],[f547]) ).
fof(f1940,plain,
( rpoint(sK3)
| ~ spl119_8 ),
inference(avatar_component_clause,[],[f1938]) ).
fof(f2052,plain,
~ spl119_13,
inference(avatar_split_clause,[],[f712,f1964]) ).
fof(f712,plain,
vd1288 != vd1287,
inference(cnf_transformation,[],[f547]) ).
fof(f2051,plain,
~ spl119_14,
inference(avatar_split_clause,[],[f711,f1969]) ).
fof(f711,plain,
vd1289 != vd1287,
inference(cnf_transformation,[],[f547]) ).
fof(f2050,plain,
~ spl119_28,
inference(avatar_split_clause,[],[f710,f2047]) ).
fof(f710,plain,
vd1289 != vd1288,
inference(cnf_transformation,[],[f547]) ).
fof(f2045,plain,
spl119_27,
inference(avatar_split_clause,[],[f705,f2042]) ).
fof(f705,plain,
vd1302 = vd1303,
inference(cnf_transformation,[],[f15]) ).
fof(f2040,plain,
spl119_26,
inference(avatar_split_clause,[],[f693,f2036]) ).
fof(f693,plain,
ron(vd1287,vd1295),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
ron(vd1287,vd1295),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','pred(s1(plural(346)), 0)') ).
fof(f2034,plain,
spl119_25,
inference(avatar_split_clause,[],[f691,f2030]) ).
fof(f691,plain,
ron(vd1287,vd1297),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
ron(vd1287,vd1297),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','pred(s1(plural(347)), 0)') ).
fof(f2028,plain,
spl119_24,
inference(avatar_split_clause,[],[f689,f2024]) ).
fof(f689,plain,
ron(vd1299,vd1295),
inference(cnf_transformation,[],[f79]) ).
fof(f79,axiom,
ron(vd1299,vd1295),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','pred(s1(plural(370)), 0)') ).
fof(f2022,plain,
spl119_23,
inference(avatar_split_clause,[],[f687,f2019]) ).
fof(f687,plain,
ron(vd1302,vd1297),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
ron(vd1302,vd1297),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','pred(conjunct2(349), 0)') ).
fof(f2017,plain,
spl119_22,
inference(avatar_split_clause,[],[f686,f2013]) ).
fof(f686,plain,
ron(vd1289,vd1297),
inference(cnf_transformation,[],[f68]) ).
fof(f68,axiom,
ron(vd1289,vd1297),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','pred(s2(plural(347)), 0)') ).
fof(f2011,plain,
spl119_21,
inference(avatar_split_clause,[],[f684,f2007]) ).
fof(f684,plain,
ron(vd1288,vd1295),
inference(cnf_transformation,[],[f71]) ).
fof(f71,axiom,
ron(vd1288,vd1295),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','pred(s2(plural(346)), 0)') ).
fof(f2005,plain,
spl119_20,
inference(avatar_split_clause,[],[f682,f2001]) ).
fof(f682,plain,
ron(vd1329,vd1295),
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
ron(vd1329,vd1295),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','pred(conjunct1(368), 0)') ).
fof(f1999,plain,
spl119_19,
inference(avatar_split_clause,[],[f680,f1996]) ).
fof(f680,plain,
vd1299 = vd1300,
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
vd1299 = vd1300,
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','pred(348, 4)') ).
fof(f1983,plain,
~ spl119_16,
inference(avatar_split_clause,[],[f678,f1979]) ).
fof(f678,plain,
vd1302 != vd1287,
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
vd1302 != vd1287,
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','holds(conjunct1(conjunct2(conjunct2(371))), 1334, 0)') ).
fof(f1962,plain,
~ spl119_12,
inference(avatar_split_clause,[],[f673,f1958]) ).
fof(f673,plain,
vd1329 != vd1287,
inference(cnf_transformation,[],[f20]) ).
fof(f20,axiom,
vd1329 != vd1287,
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','holds(conjunct2(conjunct2(conjunct2(371))), 1332, 0)') ).
fof(f1956,plain,
~ spl119_11,
inference(avatar_split_clause,[],[f1894,f1953]) ).
fof(f1953,plain,
( spl119_11
<=> sF117 = sF118 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_11])]) ).
fof(f1894,plain,
sF117 != sF118,
inference(definition_folding,[],[f665,f1893,f1892]) ).
fof(f665,plain,
vangle(vd1289,vd1302,vd1288) != vangle(vd1288,vd1329,vd1289),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
vangle(vd1289,vd1302,vd1288) != vangle(vd1288,vd1329,vd1289),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
vangle(vd1289,vd1302,vd1288) != vangle(vd1288,vd1329,vd1289),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
vangle(vd1289,vd1302,vd1288) = vangle(vd1288,vd1329,vd1289),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','holds(conjunct2(376), 1346, 0)') ).
fof(f1951,plain,
spl119_10,
inference(avatar_split_clause,[],[f718,f1948]) ).
fof(f718,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f547]) ).
fof(f1946,plain,
spl119_9,
inference(avatar_split_clause,[],[f716,f1943]) ).
fof(f716,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f547]) ).
fof(f1941,plain,
spl119_8,
inference(avatar_split_clause,[],[f714,f1938]) ).
fof(f714,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f547]) ).
fof(f1936,plain,
spl119_7,
inference(avatar_split_clause,[],[f707,f1933]) ).
fof(f707,plain,
rpoint(vd1303),
inference(cnf_transformation,[],[f15]) ).
fof(f1931,plain,
spl119_6,
inference(avatar_split_clause,[],[f671,f1928]) ).
fof(f671,plain,
rpoint(vd1329),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
rpoint(vd1329),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','pred(367, 0)') ).
fof(f1926,plain,
spl119_5,
inference(avatar_split_clause,[],[f670,f1923]) ).
fof(f670,plain,
rpoint(vd1300),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
rpoint(vd1300),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','pred(348, 1)') ).
fof(f1916,plain,
spl119_3,
inference(avatar_split_clause,[],[f668,f1913]) ).
fof(f668,plain,
rline(vd1295),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
rline(vd1295),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','pred(346, 0)') ).
fof(f1911,plain,
spl119_2,
inference(avatar_split_clause,[],[f667,f1908]) ).
fof(f667,plain,
rline(vd1297),
inference(cnf_transformation,[],[f70]) ).
fof(f70,axiom,
rline(vd1297),
file('/export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515','pred(347, 0)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.14 % Problem : GEO325+1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 20:55:23 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.Q2oQWKZXMw/Vampire---4.8_21515
% 0.14/0.36 % (21622)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (21627)lrs+1002_9_av=off:bs=on:bsr=on:bce=on:cond=on:drc=off:er=filter:flr=on:fsd=off:fsr=off:fde=unused:lcm=predicate:nm=2:nwc=1.3:sims=off:stl=62_466 on Vampire---4 for (466ds/0Mi)
% 0.21/0.42 % (21628)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_432 on Vampire---4 for (432ds/0Mi)
% 0.21/0.42 % (21626)dis-1010_4:3_afr=on:amm=off:bsr=on:bce=on:drc=off:fsd=off:fde=unused:gs=on:gsaa=from_current:irw=on:nwc=1.3:nicw=on:sas=z3:tgt=full:urr=ec_only_619 on Vampire---4 for (619ds/0Mi)
% 0.21/0.42 % (21624)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_957 on Vampire---4 for (957ds/0Mi)
% 0.21/0.42 % (21629)dis+1011_3:2_av=off:ep=RST:fsd=off:fde=none:gsp=on:nm=2:nwc=2.0:sos=on:sp=reverse_frequency_405 on Vampire---4 for (405ds/0Mi)
% 0.21/0.42 % (21623)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_1064 on Vampire---4 for (1064ds/0Mi)
% 0.21/0.42 % (21625)lrs+1010_4_aac=none:add=off:afr=on:amm=off:anc=all_dependent:bd=off:cond=on:drc=off:flr=on:fde=none:gs=on:lma=on:nm=16:nwc=1.1:sims=off:sos=all:sac=on:sp=occurrence:stl=188_669 on Vampire---4 for (669ds/0Mi)
% 0.21/0.50 % (21625)Refutation not found, incomplete strategy% (21625)------------------------------
% 0.21/0.50 % (21625)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.50 % (21625)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.50 % (21625)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.50
% 0.21/0.50 % (21625)Memory used [KB]: 13048
% 0.21/0.50 % (21625)Time elapsed: 0.084 s
% 0.21/0.50 % (21625)------------------------------
% 0.21/0.50 % (21625)------------------------------
% 0.21/0.56 % (21630)dis-1002_6_acc=on:anc=none:bce=on:cond=fast:drc=off:fsd=off:fde=none:gsp=on:irw=on:sac=on:sp=scramble:tgt=ground:urr=ec_only_401 on Vampire---4 for (401ds/0Mi)
% 52.16/7.83 % (21630)First to succeed.
% 52.16/7.86 % (21630)Refutation found. Thanks to Tanya!
% 52.16/7.86 % SZS status Theorem for Vampire---4
% 52.16/7.86 % SZS output start Proof for Vampire---4
% See solution above
% 52.16/7.87 % (21630)------------------------------
% 52.16/7.87 % (21630)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 52.16/7.87 % (21630)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 52.16/7.87 % (21630)Termination reason: Refutation
% 52.16/7.87
% 52.16/7.87 % (21630)Memory used [KB]: 87631
% 52.16/7.87 % (21630)Time elapsed: 7.287 s
% 52.16/7.87 % (21630)------------------------------
% 52.16/7.87 % (21630)------------------------------
% 52.16/7.87 % (21622)Success in time 7.454 s
% 52.16/7.87 % Vampire---4.8 exiting
%------------------------------------------------------------------------------