TSTP Solution File: GEO326+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO326+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 : n008.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 23:33:50 EDT 2023
% Result : Theorem 6.62s 1.50s
% Output : Refutation 6.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 107
% Syntax : Number of formulae : 575 ( 54 unt; 0 def)
% Number of atoms : 2452 ( 644 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 3408 (1531 ~;1523 |; 239 &)
% ( 74 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 77 ( 75 usr; 67 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 15 con; 0-2 aty)
% Number of variables : 733 (; 661 !; 72 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f30066,plain,
$false,
inference(avatar_sat_refutation,[],[f1907,f1917,f1932,f1937,f1942,f1947,f1952,f1957,f1968,f1995,f2006,f2012,f2041,f2046,f2053,f2064,f2069,f2080,f2162,f2167,f2178,f2193,f2205,f2210,f2375,f2380,f2640,f2641,f2649,f2657,f2733,f2758,f2760,f2773,f2980,f2997,f3037,f3052,f3063,f3066,f3125,f3135,f3145,f3193,f3198,f3210,f3216,f3241,f3480,f3735,f3786,f6403,f6569,f7076,f7083,f7798,f14764,f14969,f14984,f25565,f28095,f28120,f29434,f29500,f29511,f30011,f30065]) ).
fof(f30065,plain,
( ~ spl119_9
| ~ spl119_33
| ~ spl119_115
| spl119_239
| ~ spl119_330 ),
inference(avatar_contradiction_clause,[],[f30064]) ).
fof(f30064,plain,
( $false
| ~ spl119_9
| ~ spl119_33
| ~ spl119_115
| spl119_239
| ~ spl119_330 ),
inference(subsumption_resolution,[],[f30063,f14983]) ).
fof(f14983,plain,
( ~ rless(sK16(vd1303,vd1287),sK16(vd1287,vd1289))
| spl119_239 ),
inference(avatar_component_clause,[],[f14981]) ).
fof(f14981,plain,
( spl119_239
<=> rless(sK16(vd1303,vd1287),sK16(vd1287,vd1289)) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_239])]) ).
fof(f30063,plain,
( rless(sK16(vd1303,vd1287),sK16(vd1287,vd1289))
| ~ spl119_9
| ~ spl119_33
| ~ spl119_115
| ~ spl119_330 ),
inference(forward_demodulation,[],[f30062,f3051]) ).
fof(f3051,plain,
( vf(vd1287,sK2) = sK16(vd1287,vd1289)
| ~ spl119_115 ),
inference(avatar_component_clause,[],[f3049]) ).
fof(f3049,plain,
( spl119_115
<=> vf(vd1287,sK2) = sK16(vd1287,vd1289) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_115])]) ).
fof(f30062,plain,
( rless(sK16(vd1303,vd1287),vf(vd1287,sK2))
| ~ spl119_9
| ~ spl119_33
| ~ spl119_330 ),
inference(subsumption_resolution,[],[f30061,f1946]) ).
fof(f1946,plain,
( rpoint(sK2)
| ~ spl119_9 ),
inference(avatar_component_clause,[],[f1944]) ).
fof(f1944,plain,
( spl119_9
<=> rpoint(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_9])]) ).
fof(f30061,plain,
( rless(sK16(vd1303,vd1287),vf(vd1287,sK2))
| ~ rpoint(sK2)
| ~ spl119_33
| ~ spl119_330 ),
inference(subsumption_resolution,[],[f30034,f2079]) ).
fof(f2079,plain,
( rpoint(vd1287)
| ~ spl119_33 ),
inference(avatar_component_clause,[],[f2077]) ).
fof(f2077,plain,
( spl119_33
<=> rpoint(vd1287) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_33])]) ).
fof(f30034,plain,
( rless(sK16(vd1303,vd1287),vf(vd1287,sK2))
| ~ rpoint(vd1287)
| ~ rpoint(sK2)
| ~ spl119_330 ),
inference(superposition,[],[f30010,f1042]) ).
fof(f1042,plain,
! [X2,X3] :
( vf(X3,X2) = vf(X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1041]) ).
fof(f1041,plain,
! [X2,X3,X1] :
( vf(X1,X2) = vf(X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| X1 != X3 ),
inference(equality_resolution,[],[f786]) ).
fof(f786,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f362]) ).
fof(f362,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f361]) ).
fof(f361,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> vf(X0,X1) = vf(X1,X0) ),
inference(rectify,[],[f93]) ).
fof(f93,axiom,
! [X112,X113] :
( ( ? [X115] :
( rpoint(X115)
& X112 = X115 )
& ? [X114] :
( rpoint(X114)
& X113 = X114 ) )
=> vf(X112,X113) = vf(X113,X112) ),
file('/export/starexec/sandbox/tmp/tmp.fZcr8Q7okY/Vampire---4.8_19255','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof(f30010,plain,
( rless(sK16(vd1303,vd1287),vf(sK2,vd1287))
| ~ spl119_330 ),
inference(avatar_component_clause,[],[f30008]) ).
fof(f30008,plain,
( spl119_330
<=> rless(sK16(vd1303,vd1287),vf(sK2,vd1287)) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_330])]) ).
fof(f30011,plain,
( spl119_330
| ~ spl119_18
| ~ spl119_84
| ~ spl119_128
| ~ spl119_169
| ~ spl119_307 ),
inference(avatar_split_clause,[],[f29698,f28092,f6566,f3190,f2654,f1992,f30008]) ).
fof(f1992,plain,
( spl119_18
<=> rreal(v0) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_18])]) ).
fof(f2654,plain,
( spl119_84
<=> rreal(sF117) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_84])]) ).
fof(f3190,plain,
( spl119_128
<=> rreal(sK16(vd1303,vd1287)) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_128])]) ).
fof(f6566,plain,
( spl119_169
<=> rless(v0,sF117) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_169])]) ).
fof(f28092,plain,
( spl119_307
<=> vf(sK2,vd1287) = vplus(sF117,sK16(vd1303,vd1287)) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_307])]) ).
fof(f29698,plain,
( rless(sK16(vd1303,vd1287),vf(sK2,vd1287))
| ~ spl119_18
| ~ spl119_84
| ~ spl119_128
| ~ spl119_169
| ~ spl119_307 ),
inference(subsumption_resolution,[],[f29697,f6568]) ).
fof(f6568,plain,
( rless(v0,sF117)
| ~ spl119_169 ),
inference(avatar_component_clause,[],[f6566]) ).
fof(f29697,plain,
( rless(sK16(vd1303,vd1287),vf(sK2,vd1287))
| ~ rless(v0,sF117)
| ~ spl119_18
| ~ spl119_84
| ~ spl119_128
| ~ spl119_307 ),
inference(subsumption_resolution,[],[f29696,f3192]) ).
fof(f3192,plain,
( rreal(sK16(vd1303,vd1287))
| ~ spl119_128 ),
inference(avatar_component_clause,[],[f3190]) ).
fof(f29696,plain,
( rless(sK16(vd1303,vd1287),vf(sK2,vd1287))
| ~ rreal(sK16(vd1303,vd1287))
| ~ rless(v0,sF117)
| ~ spl119_18
| ~ spl119_84
| ~ spl119_307 ),
inference(subsumption_resolution,[],[f29638,f2656]) ).
fof(f2656,plain,
( rreal(sF117)
| ~ spl119_84 ),
inference(avatar_component_clause,[],[f2654]) ).
fof(f29638,plain,
( rless(sK16(vd1303,vd1287),vf(sK2,vd1287))
| ~ rreal(sF117)
| ~ rreal(sK16(vd1303,vd1287))
| ~ rless(v0,sF117)
| ~ spl119_18
| ~ spl119_307 ),
inference(superposition,[],[f4058,f28094]) ).
fof(f28094,plain,
( vf(sK2,vd1287) = vplus(sF117,sK16(vd1303,vd1287))
| ~ spl119_307 ),
inference(avatar_component_clause,[],[f28092]) ).
fof(f4058,plain,
( ! [X8,X9] :
( rless(X8,vplus(X9,X8))
| ~ rreal(X9)
| ~ rreal(X8)
| ~ rless(v0,X9) )
| ~ spl119_18 ),
inference(subsumption_resolution,[],[f4046,f1994]) ).
fof(f1994,plain,
( rreal(v0)
| ~ spl119_18 ),
inference(avatar_component_clause,[],[f1992]) ).
fof(f4046,plain,
( ! [X8,X9] :
( rless(X8,vplus(X9,X8))
| ~ rreal(v0)
| ~ rreal(X9)
| ~ rreal(X8)
| ~ rless(v0,X9) )
| ~ spl119_18 ),
inference(duplicate_literal_removal,[],[f4037]) ).
fof(f4037,plain,
( ! [X8,X9] :
( rless(X8,vplus(X9,X8))
| ~ rreal(v0)
| ~ rreal(X9)
| ~ rreal(X8)
| ~ rless(v0,X9)
| ~ rreal(X8) )
| ~ spl119_18 ),
inference(superposition,[],[f1432,f2695]) ).
fof(f2695,plain,
( ! [X0] :
( vplus(v0,X0) = X0
| ~ rreal(X0) )
| ~ spl119_18 ),
inference(subsumption_resolution,[],[f2694,f1994]) ).
fof(f2694,plain,
! [X0] :
( vplus(v0,X0) = X0
| ~ rreal(X0)
| ~ rreal(v0) ),
inference(duplicate_literal_removal,[],[f2687]) ).
fof(f2687,plain,
! [X0] :
( vplus(v0,X0) = X0
| ~ rreal(X0)
| ~ rreal(v0)
| ~ rreal(X0) ),
inference(superposition,[],[f1125,f1020]) ).
fof(f1020,plain,
! [X1] :
( vplus(X1,v0) = X1
| ~ rreal(X1) ),
inference(equality_resolution,[],[f773]) ).
fof(f773,plain,
! [X0,X1] :
( vplus(X0,v0) = X0
| ~ rreal(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f352]) ).
fof(f352,plain,
! [X0,X1] :
( vplus(X0,v0) = X0
| ~ rreal(X1)
| X0 != X1 ),
inference(flattening,[],[f351]) ).
fof(f351,plain,
! [X0,X1] :
( vplus(X0,v0) = X0
| ~ rreal(X1)
| X0 != X1 ),
inference(ennf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0,X1] :
( ( rreal(X1)
& X0 = X1 )
=> vplus(X0,v0) = X0 ),
inference(rectify,[],[f114]) ).
fof(f114,axiom,
! [X263,X264] :
( ( rreal(X264)
& X263 = X264 )
=> vplus(X263,v0) = X263 ),
file('/export/starexec/sandbox/tmp/tmp.fZcr8Q7okY/Vampire---4.8_19255','qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))') ).
fof(f1125,plain,
! [X3,X1] :
( vplus(X1,X3) = vplus(X3,X1)
| ~ rreal(X1)
| ~ rreal(X3) ),
inference(equality_resolution,[],[f1124]) ).
fof(f1124,plain,
! [X2,X3,X1] :
( vplus(X1,X2) = vplus(X2,X1)
| ~ rreal(X1)
| ~ rreal(X3)
| X2 != X3 ),
inference(equality_resolution,[],[f815]) ).
fof(f815,plain,
! [X2,X3,X0,X1] :
( vplus(X0,X2) = vplus(X2,X0)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(cnf_transformation,[],[f390]) ).
fof(f390,plain,
! [X0,X1,X2,X3] :
( vplus(X0,X2) = vplus(X2,X0)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(flattening,[],[f389]) ).
fof(f389,plain,
! [X0,X1,X2,X3] :
( vplus(X0,X2) = vplus(X2,X0)
| ~ 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 )
=> vplus(X0,X2) = vplus(X2,X0) ),
inference(rectify,[],[f113]) ).
fof(f113,axiom,
! [X259,X260,X261,X262] :
( ( rreal(X260)
& X259 = X260
& rreal(X262)
& X261 = X262 )
=> vplus(X259,X261) = vplus(X261,X259) ),
file('/export/starexec/sandbox/tmp/tmp.fZcr8Q7okY/Vampire---4.8_19255','qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))') ).
fof(f1432,plain,
! [X3,X1,X5] :
( rless(vplus(X1,X5),vplus(X3,X5))
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| ~ rless(X1,X3) ),
inference(equality_resolution,[],[f1431]) ).
fof(f1431,plain,
! [X3,X1,X4,X5] :
( rless(vplus(X1,X4),vplus(X3,X4))
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| X4 != X5
| ~ rless(X1,X3) ),
inference(equality_resolution,[],[f1430]) ).
fof(f1430,plain,
! [X2,X3,X1,X4,X5] :
( rless(vplus(X1,X4),vplus(X2,X4))
| ~ rreal(X1)
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| ~ rless(X1,X2) ),
inference(equality_resolution,[],[f912]) ).
fof(f912,plain,
! [X2,X3,X0,X1,X4,X5] :
( rless(vplus(X0,X4),vplus(X2,X4))
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| ~ rless(X0,X2) ),
inference(cnf_transformation,[],[f486]) ).
fof(f486,plain,
! [X0,X1,X2,X3,X4,X5] :
( rless(vplus(X0,X4),vplus(X2,X4))
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| ~ rless(X0,X2) ),
inference(flattening,[],[f485]) ).
fof(f485,plain,
! [X0,X1,X2,X3,X4,X5] :
( rless(vplus(X0,X4),vplus(X2,X4))
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| ~ rless(X0,X2) ),
inference(ennf_transformation,[],[f269]) ).
fof(f269,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rreal(X1)
& X0 = X1
& rreal(X3)
& X2 = X3
& rreal(X5)
& X4 = X5
& rless(X0,X2) )
=> rless(vplus(X0,X4),vplus(X2,X4)) ),
inference(rectify,[],[f122]) ).
fof(f122,axiom,
! [X299,X300,X301,X302,X303,X304] :
( ( rreal(X300)
& X299 = X300
& rreal(X302)
& X301 = X302
& rreal(X304)
& X303 = X304
& rless(X299,X301) )
=> rless(vplus(X299,X303),vplus(X301,X303)) ),
file('/export/starexec/sandbox/tmp/tmp.fZcr8Q7okY/Vampire---4.8_19255','qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))') ).
fof(f29511,plain,
( ~ spl119_3
| ~ spl119_6
| ~ spl119_9
| spl119_13
| ~ spl119_20
| ~ spl119_26
| ~ spl119_33
| ~ spl119_48
| spl119_49
| spl119_50
| spl119_143
| spl119_286
| spl119_308 ),
inference(avatar_contradiction_clause,[],[f29505]) ).
fof(f29505,plain,
( $false
| ~ spl119_3
| ~ spl119_6
| ~ spl119_9
| spl119_13
| ~ spl119_20
| ~ spl119_26
| ~ spl119_33
| ~ spl119_48
| spl119_49
| spl119_50
| spl119_143
| spl119_286
| spl119_308 ),
inference(unit_resulting_resolution,[],[f1916,f2004,f2161,f2039,f1931,f1946,f2079,f3483,f1966,f2166,f28119,f2177,f25560,f1280]) ).
fof(f1280,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,[],[f1279]) ).
fof(f1279,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,[],[f1278]) ).
fof(f1278,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,[],[f1277]) ).
fof(f1277,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,[],[f875]) ).
fof(f875,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,[],[f448]) ).
fof(f448,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,[],[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(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 )
& 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,[],[f117]) ).
fof(f117,axiom,
! [X265,X266,X267,X268,X269] :
( ( ? [X272] :
( rpoint(X272)
& X265 = X272 )
& ? [X271] :
( rpoint(X271)
& X266 = X271 )
& ? [X270] :
( rpoint(X270)
& X267 = X270 )
& X265 != X266
& X265 != X267
& X266 != X267
& rline(X269)
& ron(X265,X268)
& ron(X266,X268)
& ron(X267,X268)
& X268 = X269 )
=> ( rR(X267,X265,X266)
| rR(X265,X266,X267)
| rR(X266,X265,X267) ) ),
file('/export/starexec/sandbox/tmp/tmp.fZcr8Q7okY/Vampire---4.8_19255','qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))') ).
fof(f25560,plain,
( ~ rR(sK2,vd1287,vd1329)
| spl119_286 ),
inference(avatar_component_clause,[],[f25558]) ).
fof(f25558,plain,
( spl119_286
<=> rR(sK2,vd1287,vd1329) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_286])]) ).
fof(f2177,plain,
( ~ rR(vd1287,sK2,vd1329)
| spl119_50 ),
inference(avatar_component_clause,[],[f2175]) ).
fof(f2175,plain,
( spl119_50
<=> rR(vd1287,sK2,vd1329) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_50])]) ).
fof(f28119,plain,
( ~ rR(vd1329,vd1287,sK2)
| spl119_308 ),
inference(avatar_component_clause,[],[f28117]) ).
fof(f28117,plain,
( spl119_308
<=> rR(vd1329,vd1287,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_308])]) ).
fof(f2166,plain,
( vd1287 != sK2
| spl119_49 ),
inference(avatar_component_clause,[],[f2164]) ).
fof(f2164,plain,
( spl119_49
<=> vd1287 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_49])]) ).
fof(f1966,plain,
( vd1329 != vd1287
| spl119_13 ),
inference(avatar_component_clause,[],[f1964]) ).
fof(f1964,plain,
( spl119_13
<=> vd1329 = vd1287 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_13])]) ).
fof(f3483,plain,
( vd1329 != sK2
| spl119_143 ),
inference(avatar_component_clause,[],[f3482]) ).
fof(f3482,plain,
( spl119_143
<=> vd1329 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_143])]) ).
fof(f1931,plain,
( rpoint(vd1329)
| ~ spl119_6 ),
inference(avatar_component_clause,[],[f1929]) ).
fof(f1929,plain,
( spl119_6
<=> rpoint(vd1329) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_6])]) ).
fof(f2039,plain,
( ron(vd1287,vd1295)
| ~ spl119_26 ),
inference(avatar_component_clause,[],[f2037]) ).
fof(f2037,plain,
( spl119_26
<=> ron(vd1287,vd1295) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_26])]) ).
fof(f2161,plain,
( ron(sK2,vd1295)
| ~ spl119_48 ),
inference(avatar_component_clause,[],[f2159]) ).
fof(f2159,plain,
( spl119_48
<=> ron(sK2,vd1295) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_48])]) ).
fof(f2004,plain,
( ron(vd1329,vd1295)
| ~ spl119_20 ),
inference(avatar_component_clause,[],[f2002]) ).
fof(f2002,plain,
( spl119_20
<=> ron(vd1329,vd1295) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_20])]) ).
fof(f1916,plain,
( rline(vd1295)
| ~ spl119_3 ),
inference(avatar_component_clause,[],[f1914]) ).
fof(f1914,plain,
( spl119_3
<=> rline(vd1295) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_3])]) ).
fof(f29500,plain,
( vd1329 != sK2
| sK16(vd1287,sK2) != sK16(vd1287,vd1289)
| vf(vd1287,vd1289) != sK16(vd1287,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)
| sK16(vd1303,vd1287) = sK16(vd1287,vd1289) ),
introduced(theory_tautology_sat_conflict,[]) ).
fof(f29434,plain,
( spl119_11
| ~ spl119_83
| ~ spl119_84
| ~ spl119_123
| ~ spl119_233
| ~ spl119_287 ),
inference(avatar_contradiction_clause,[],[f29433]) ).
fof(f29433,plain,
( $false
| spl119_11
| ~ spl119_83
| ~ spl119_84
| ~ spl119_123
| ~ spl119_233
| ~ spl119_287 ),
inference(subsumption_resolution,[],[f29432,f1956]) ).
fof(f1956,plain,
( sF117 != sF118
| spl119_11 ),
inference(avatar_component_clause,[],[f1954]) ).
fof(f1954,plain,
( spl119_11
<=> sF117 = sF118 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_11])]) ).
fof(f29432,plain,
( sF117 = sF118
| ~ spl119_83
| ~ spl119_84
| ~ spl119_123
| ~ spl119_233
| ~ spl119_287 ),
inference(subsumption_resolution,[],[f29424,f2656]) ).
fof(f29424,plain,
( ~ rreal(sF117)
| sF117 = sF118
| ~ spl119_83
| ~ spl119_123
| ~ spl119_233
| ~ spl119_287 ),
inference(trivial_inequality_removal,[],[f29372]) ).
fof(f29372,plain,
( sK16(vd1303,vd1287) != sK16(vd1303,vd1287)
| ~ rreal(sF117)
| sF117 = sF118
| ~ spl119_83
| ~ spl119_123
| ~ spl119_233
| ~ spl119_287 ),
inference(superposition,[],[f14917,f25564]) ).
fof(f25564,plain,
( sK16(vd1303,vd1287) = vplus(sK16(vd1287,vd1289),sF117)
| ~ spl119_287 ),
inference(avatar_component_clause,[],[f25562]) ).
fof(f25562,plain,
( spl119_287
<=> sK16(vd1303,vd1287) = vplus(sK16(vd1287,vd1289),sF117) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_287])]) ).
fof(f14917,plain,
( ! [X22] :
( sK16(vd1303,vd1287) != vplus(sK16(vd1287,vd1289),X22)
| ~ rreal(X22)
| sF118 = X22 )
| ~ spl119_83
| ~ spl119_123
| ~ spl119_233 ),
inference(subsumption_resolution,[],[f14916,f3144]) ).
fof(f3144,plain,
( rreal(sK16(vd1287,vd1289))
| ~ spl119_123 ),
inference(avatar_component_clause,[],[f3142]) ).
fof(f3142,plain,
( spl119_123
<=> rreal(sK16(vd1287,vd1289)) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_123])]) ).
fof(f14916,plain,
( ! [X22] :
( sK16(vd1303,vd1287) != vplus(sK16(vd1287,vd1289),X22)
| ~ rreal(X22)
| ~ rreal(sK16(vd1287,vd1289))
| sF118 = X22 )
| ~ spl119_83
| ~ spl119_233 ),
inference(subsumption_resolution,[],[f14835,f2648]) ).
fof(f2648,plain,
( rreal(sF118)
| ~ spl119_83 ),
inference(avatar_component_clause,[],[f2646]) ).
fof(f2646,plain,
( spl119_83
<=> rreal(sF118) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_83])]) ).
fof(f14835,plain,
( ! [X22] :
( sK16(vd1303,vd1287) != vplus(sK16(vd1287,vd1289),X22)
| ~ rreal(sF118)
| ~ rreal(X22)
| ~ rreal(sK16(vd1287,vd1289))
| sF118 = X22 )
| ~ spl119_233 ),
inference(superposition,[],[f4578,f14763]) ).
fof(f14763,plain,
( sK16(vd1303,vd1287) = vplus(sK16(vd1287,vd1289),sF118)
| ~ spl119_233 ),
inference(avatar_component_clause,[],[f14761]) ).
fof(f14761,plain,
( spl119_233
<=> sK16(vd1303,vd1287) = vplus(sK16(vd1287,vd1289),sF118) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_233])]) ).
fof(f4578,plain,
! [X6,X7,X5] :
( vplus(X6,X5) != vplus(X6,X7)
| ~ rreal(X5)
| ~ rreal(X7)
| ~ rreal(X6)
| X5 = X7 ),
inference(duplicate_literal_removal,[],[f4573]) ).
fof(f4573,plain,
! [X6,X7,X5] :
( vplus(X6,X5) != vplus(X6,X7)
| ~ rreal(X5)
| ~ rreal(X7)
| ~ rreal(X6)
| X5 = X7
| ~ rreal(X5)
| ~ rreal(X6) ),
inference(superposition,[],[f4164,f1125]) ).
fof(f4164,plain,
! [X6,X7,X5] :
( vplus(X6,X5) != vplus(X7,X6)
| ~ rreal(X7)
| ~ rreal(X5)
| ~ rreal(X6)
| X5 = X7 ),
inference(duplicate_literal_removal,[],[f4159]) ).
fof(f4159,plain,
! [X6,X7,X5] :
( vplus(X6,X5) != vplus(X7,X6)
| ~ rreal(X7)
| ~ rreal(X5)
| ~ rreal(X6)
| X5 = X7
| ~ rreal(X5)
| ~ rreal(X6) ),
inference(superposition,[],[f1477,f1125]) ).
fof(f1477,plain,
! [X3,X1,X5] :
( vplus(X1,X5) != vplus(X3,X5)
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| X1 = X3 ),
inference(equality_resolution,[],[f1476]) ).
fof(f1476,plain,
! [X3,X1,X4,X5] :
( X1 = X3
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| X4 != X5
| vplus(X1,X4) != vplus(X3,X4) ),
inference(equality_resolution,[],[f1475]) ).
fof(f1475,plain,
! [X2,X3,X1,X4,X5] :
( X1 = X2
| ~ rreal(X1)
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| vplus(X2,X4) != vplus(X1,X4) ),
inference(equality_resolution,[],[f925]) ).
fof(f925,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 = X2
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| vplus(X0,X4) != vplus(X2,X4) ),
inference(cnf_transformation,[],[f498]) ).
fof(f498,plain,
! [X0,X1,X2,X3,X4,X5] :
( X0 = X2
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| vplus(X0,X4) != vplus(X2,X4) ),
inference(flattening,[],[f497]) ).
fof(f497,plain,
! [X0,X1,X2,X3,X4,X5] :
( X0 = X2
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| vplus(X0,X4) != vplus(X2,X4) ),
inference(ennf_transformation,[],[f275]) ).
fof(f275,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rreal(X1)
& X0 = X1
& rreal(X3)
& X2 = X3
& rreal(X5)
& X4 = X5
& vplus(X0,X4) = vplus(X2,X4) )
=> X0 = X2 ),
inference(rectify,[],[f111]) ).
fof(f111,axiom,
! [X249,X250,X251,X252,X253,X254] :
( ( rreal(X250)
& X249 = X250
& rreal(X252)
& X251 = X252
& rreal(X254)
& X253 = X254
& vplus(X249,X253) = vplus(X251,X253) )
=> X249 = X251 ),
file('/export/starexec/sandbox/tmp/tmp.fZcr8Q7okY/Vampire---4.8_19255','ass(cond(156, 0), 0)') ).
fof(f28120,plain,
( ~ spl119_308
| ~ spl119_6
| ~ spl119_9
| ~ spl119_33
| spl119_306 ),
inference(avatar_split_clause,[],[f28115,f28088,f2077,f1944,f1929,f28117]) ).
fof(f28088,plain,
( spl119_306
<=> rR(vd1329,sK2,vd1287) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_306])]) ).
fof(f28115,plain,
( ~ rR(vd1329,vd1287,sK2)
| ~ spl119_6
| ~ spl119_9
| ~ spl119_33
| spl119_306 ),
inference(subsumption_resolution,[],[f28114,f1946]) ).
fof(f28114,plain,
( ~ rpoint(sK2)
| ~ rR(vd1329,vd1287,sK2)
| ~ spl119_6
| ~ spl119_33
| spl119_306 ),
inference(subsumption_resolution,[],[f28113,f1931]) ).
fof(f28113,plain,
( ~ rpoint(vd1329)
| ~ rpoint(sK2)
| ~ rR(vd1329,vd1287,sK2)
| ~ spl119_33
| spl119_306 ),
inference(subsumption_resolution,[],[f28099,f2079]) ).
fof(f28099,plain,
( ~ rpoint(vd1287)
| ~ rpoint(vd1329)
| ~ rpoint(sK2)
| ~ rR(vd1329,vd1287,sK2)
| spl119_306 ),
inference(resolution,[],[f28090,f1066]) ).
fof(f1066,plain,
! [X3,X4,X5] :
( rR(X4,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X4,X3,X5) ),
inference(equality_resolution,[],[f1065]) ).
fof(f1065,plain,
! [X2,X3,X4,X5] :
( rR(X4,X2,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X4,X3,X2) ),
inference(equality_resolution,[],[f1064]) ).
fof(f1064,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,[],[f799]) ).
fof(f799,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,[],[f374]) ).
fof(f374,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,[],[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(ennf_transformation,[],[f210]) ).
fof(f210,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,[],[f23]) ).
fof(f23,axiom,
! [X38,X39,X40] :
( ( ? [X43] :
( rpoint(X43)
& X38 = X43 )
& ? [X42] :
( rpoint(X42)
& X39 = X42 )
& ? [X41] :
( rpoint(X41)
& X40 = X41 )
& rR(X39,X38,X40) )
=> ( rR(X39,X40,X38)
& X38 != X39
& X38 != X40
& ~ rR(X38,X39,X40) ) ),
file('/export/starexec/sandbox/tmp/tmp.fZcr8Q7okY/Vampire---4.8_19255','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof(f28090,plain,
( ~ rR(vd1329,sK2,vd1287)
| spl119_306 ),
inference(avatar_component_clause,[],[f28088]) ).
fof(f28095,plain,
( ~ spl119_306
| spl119_307
| ~ spl119_6
| ~ spl119_9
| ~ spl119_33
| ~ spl119_55
| ~ spl119_131 ),
inference(avatar_split_clause,[],[f28027,f3212,f2202,f2077,f1944,f1929,f28092,f28088]) ).
fof(f2202,plain,
( spl119_55
<=> sF117 = vf(sK2,vd1329) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_55])]) ).
fof(f3212,plain,
( spl119_131
<=> sK16(vd1287,vd1329) = sK16(vd1303,vd1287) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_131])]) ).
fof(f28027,plain,
( vf(sK2,vd1287) = vplus(sF117,sK16(vd1303,vd1287))
| ~ rR(vd1329,sK2,vd1287)
| ~ spl119_6
| ~ spl119_9
| ~ spl119_33
| ~ spl119_55
| ~ spl119_131 ),
inference(subsumption_resolution,[],[f27974,f2079]) ).
fof(f27974,plain,
( vf(sK2,vd1287) = vplus(sF117,sK16(vd1303,vd1287))
| ~ rpoint(vd1287)
| ~ rR(vd1329,sK2,vd1287)
| ~ spl119_6
| ~ spl119_9
| ~ spl119_55
| ~ spl119_131 ),
inference(superposition,[],[f14282,f3214]) ).
fof(f3214,plain,
( sK16(vd1287,vd1329) = sK16(vd1303,vd1287)
| ~ spl119_131 ),
inference(avatar_component_clause,[],[f3212]) ).
fof(f14282,plain,
( ! [X6] :
( vf(sK2,X6) = vplus(sF117,sK16(X6,vd1329))
| ~ rpoint(X6)
| ~ rR(vd1329,sK2,X6) )
| ~ spl119_6
| ~ spl119_9
| ~ spl119_55 ),
inference(subsumption_resolution,[],[f14275,f1931]) ).
fof(f14275,plain,
( ! [X6] :
( vf(sK2,X6) = vplus(sF117,sK16(X6,vd1329))
| ~ rpoint(X6)
| ~ rR(vd1329,sK2,X6)
| ~ rpoint(vd1329) )
| ~ spl119_6
| ~ spl119_9
| ~ spl119_55 ),
inference(duplicate_literal_removal,[],[f14220]) ).
fof(f14220,plain,
( ! [X6] :
( vf(sK2,X6) = vplus(sF117,sK16(X6,vd1329))
| ~ rpoint(X6)
| ~ rR(vd1329,sK2,X6)
| ~ rpoint(vd1329)
| ~ rpoint(X6) )
| ~ spl119_6
| ~ spl119_9
| ~ spl119_55 ),
inference(superposition,[],[f8834,f2594]) ).
fof(f2594,plain,
! [X3,X4] :
( sK16(X3,X4) = vf(X4,X3)
| ~ rpoint(X4)
| ~ rpoint(X3) ),
inference(duplicate_literal_removal,[],[f2586]) ).
fof(f2586,plain,
! [X3,X4] :
( sK16(X3,X4) = vf(X4,X3)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(superposition,[],[f1042,f1057]) ).
fof(f1057,plain,
! [X3,X4] :
( vf(X3,X4) = sK16(X3,X4)
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1056]) ).
fof(f1056,plain,
! [X3,X1,X4] :
( sK16(X3,X1) = vf(X3,X1)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4 ),
inference(equality_resolution,[],[f792]) ).
fof(f792,plain,
! [X3,X0,X1,X4] :
( vf(X0,X1) = sK16(X0,X1)
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(cnf_transformation,[],[f578]) ).
fof(f578,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])],[f576,f577]) ).
fof(f577,plain,
! [X0,X1] :
( ? [X2] :
( rreal(X2)
& vf(X0,X1) = X2 )
=> ( rreal(sK16(X0,X1))
& vf(X0,X1) = sK16(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f576,plain,
! [X0,X1] :
( ? [X2] :
( rreal(X2)
& vf(X0,X1) = X2 )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 ) ),
inference(rectify,[],[f368]) ).
fof(f368,plain,
! [X0,X1] :
( ? [X4] :
( rreal(X4)
& vf(X0,X1) = X4 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f367]) ).
fof(f367,plain,
! [X0,X1] :
( ? [X4] :
( rreal(X4)
& vf(X0,X1) = X4 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> ? [X4] :
( rreal(X4)
& vf(X0,X1) = X4 ) ),
inference(rectify,[],[f95]) ).
fof(f95,axiom,
! [X120,X121] :
( ( ? [X123] :
( rpoint(X123)
& X120 = X123 )
& ? [X122] :
( rpoint(X122)
& X121 = X122 ) )
=> ? [X124] :
( rreal(X124)
& vf(X120,X121) = X124 ) ),
file('/export/starexec/sandbox/tmp/tmp.fZcr8Q7okY/Vampire---4.8_19255','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).
fof(f8834,plain,
( ! [X37] :
( vf(sK2,X37) = vplus(sF117,vf(vd1329,X37))
| ~ rpoint(X37)
| ~ rR(vd1329,sK2,X37) )
| ~ spl119_6
| ~ spl119_9
| ~ spl119_55 ),
inference(subsumption_resolution,[],[f8833,f1931]) ).
fof(f8833,plain,
( ! [X37] :
( vf(sK2,X37) = vplus(sF117,vf(vd1329,X37))
| ~ rpoint(vd1329)
| ~ rpoint(X37)
| ~ rR(vd1329,sK2,X37) )
| ~ spl119_9
| ~ spl119_55 ),
inference(subsumption_resolution,[],[f8701,f1946]) ).
fof(f8701,plain,
( ! [X37] :
( vf(sK2,X37) = vplus(sF117,vf(vd1329,X37))
| ~ rpoint(sK2)
| ~ rpoint(vd1329)
| ~ rpoint(X37)
| ~ rR(vd1329,sK2,X37) )
| ~ spl119_55 ),
inference(superposition,[],[f1063,f2204]) ).
fof(f2204,plain,
( sF117 = vf(sK2,vd1329)
| ~ spl119_55 ),
inference(avatar_component_clause,[],[f2202]) ).
fof(f1063,plain,
! [X3,X4,X5] :
( vf(X3,X5) = vplus(vf(X3,X4),vf(X4,X5))
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X4,X3,X5) ),
inference(equality_resolution,[],[f1062]) ).
fof(f1062,plain,
! [X2,X3,X4,X5] :
( vf(X3,X2) = vplus(vf(X3,X4),vf(X4,X2))
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X4,X3,X2) ),
inference(equality_resolution,[],[f1061]) ).
fof(f1061,plain,
! [X2,X3,X1,X4,X5] :
( vf(X3,X2) = vplus(vf(X3,X1),vf(X1,X2))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X1,X3,X2) ),
inference(equality_resolution,[],[f795]) ).
fof(f795,plain,
! [X2,X3,X0,X1,X4,X5] :
( vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2)
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X1,X0,X2) ),
inference(cnf_transformation,[],[f372]) ).
fof(f372,plain,
! [X0,X1,X2] :
( vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2)
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ~ rR(X1,X0,X2) ),
inference(flattening,[],[f371]) ).
fof(f371,plain,
! [X0,X1,X2] :
( vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,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) )
=> vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2) ),
inference(rectify,[],[f119]) ).
fof(f119,axiom,
! [X281,X282,X283] :
( ( ? [X286] :
( rpoint(X286)
& X281 = X286 )
& ? [X285] :
( rpoint(X285)
& X282 = X285 )
& ? [X284] :
( rpoint(X284)
& X283 = X284 )
& rR(X282,X281,X283) )
=> vplus(vf(X281,X282),vf(X282,X283)) = vf(X281,X283) ),
file('/export/starexec/sandbox/tmp/tmp.fZcr8Q7okY/Vampire---4.8_19255','qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))') ).
fof(f25565,plain,
( ~ spl119_286
| spl119_287
| ~ spl119_6
| ~ spl119_9
| ~ spl119_33
| ~ spl119_55
| ~ spl119_115
| ~ spl119_129 ),
inference(avatar_split_clause,[],[f25491,f3195,f3049,f2202,f2077,f1944,f1929,f25562,f25558]) ).
fof(f3195,plain,
( spl119_129
<=> vf(vd1287,vd1329) = sK16(vd1303,vd1287) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_129])]) ).
fof(f25491,plain,
( sK16(vd1303,vd1287) = vplus(sK16(vd1287,vd1289),sF117)
| ~ rR(sK2,vd1287,vd1329)
| ~ spl119_6
| ~ spl119_9
| ~ spl119_33
| ~ spl119_55
| ~ spl119_115
| ~ spl119_129 ),
inference(forward_demodulation,[],[f25490,f3197]) ).
fof(f3197,plain,
( vf(vd1287,vd1329) = sK16(vd1303,vd1287)
| ~ spl119_129 ),
inference(avatar_component_clause,[],[f3195]) ).
fof(f25490,plain,
( vf(vd1287,vd1329) = vplus(sK16(vd1287,vd1289),sF117)
| ~ rR(sK2,vd1287,vd1329)
| ~ spl119_6
| ~ spl119_9
| ~ spl119_33
| ~ spl119_55
| ~ spl119_115 ),
inference(subsumption_resolution,[],[f25421,f2079]) ).
fof(f25421,plain,
( vf(vd1287,vd1329) = vplus(sK16(vd1287,vd1289),sF117)
| ~ rpoint(vd1287)
| ~ rR(sK2,vd1287,vd1329)
| ~ spl119_6
| ~ spl119_9
| ~ spl119_55
| ~ spl119_115 ),
inference(superposition,[],[f8859,f3051]) ).
fof(f8859,plain,
( ! [X37] :
( vf(X37,vd1329) = vplus(vf(X37,sK2),sF117)
| ~ rpoint(X37)
| ~ rR(sK2,X37,vd1329) )
| ~ spl119_6
| ~ spl119_9
| ~ spl119_55 ),
inference(subsumption_resolution,[],[f8858,f1931]) ).
fof(f8858,plain,
( ! [X37] :
( vf(X37,vd1329) = vplus(vf(X37,sK2),sF117)
| ~ rpoint(X37)
| ~ rpoint(vd1329)
| ~ rR(sK2,X37,vd1329) )
| ~ spl119_9
| ~ spl119_55 ),
inference(subsumption_resolution,[],[f8720,f1946]) ).
fof(f8720,plain,
( ! [X37] :
( vf(X37,vd1329) = vplus(vf(X37,sK2),sF117)
| ~ rpoint(X37)
| ~ rpoint(sK2)
| ~ rpoint(vd1329)
| ~ rR(sK2,X37,vd1329) )
| ~ spl119_55 ),
inference(superposition,[],[f1063,f2204]) ).
fof(f14984,plain,
( ~ spl119_239
| ~ spl119_18
| ~ spl119_83
| ~ spl119_123
| ~ spl119_165
| ~ spl119_233 ),
inference(avatar_split_clause,[],[f14903,f14761,f6400,f3142,f2646,f1992,f14981]) ).
fof(f6400,plain,
( spl119_165
<=> rless(v0,sF118) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_165])]) ).
fof(f14903,plain,
( ~ rless(sK16(vd1303,vd1287),sK16(vd1287,vd1289))
| ~ spl119_18
| ~ spl119_83
| ~ spl119_123
| ~ spl119_165
| ~ spl119_233 ),
inference(subsumption_resolution,[],[f14902,f2648]) ).
fof(f14902,plain,
( ~ rless(sK16(vd1303,vd1287),sK16(vd1287,vd1289))
| ~ rreal(sF118)
| ~ spl119_18
| ~ spl119_123
| ~ spl119_165
| ~ spl119_233 ),
inference(subsumption_resolution,[],[f14901,f6402]) ).
fof(f6402,plain,
( rless(v0,sF118)
| ~ spl119_165 ),
inference(avatar_component_clause,[],[f6400]) ).
fof(f14901,plain,
( ~ rless(sK16(vd1303,vd1287),sK16(vd1287,vd1289))
| ~ rless(v0,sF118)
| ~ rreal(sF118)
| ~ spl119_18
| ~ spl119_123
| ~ spl119_233 ),
inference(subsumption_resolution,[],[f14826,f3144]) ).
fof(f14826,plain,
( ~ rless(sK16(vd1303,vd1287),sK16(vd1287,vd1289))
| ~ rreal(sK16(vd1287,vd1289))
| ~ rless(v0,sF118)
| ~ rreal(sF118)
| ~ spl119_18
| ~ spl119_233 ),
inference(superposition,[],[f4327,f14763]) ).
fof(f4327,plain,
( ! [X4,X5] :
( ~ rless(vplus(X5,X4),X5)
| ~ rreal(X5)
| ~ rless(v0,X4)
| ~ rreal(X4) )
| ~ spl119_18 ),
inference(subsumption_resolution,[],[f4322,f2762]) ).
fof(f2762,plain,
! [X0,X1] :
( rreal(vplus(X0,X1))
| ~ rreal(X0)
| ~ rreal(X1) ),
inference(duplicate_literal_removal,[],[f2761]) ).
fof(f2761,plain,
! [X0,X1] :
( rreal(vplus(X0,X1))
| ~ rreal(X0)
| ~ rreal(X1)
| ~ rreal(X0)
| ~ rreal(X1) ),
inference(superposition,[],[f1129,f1131]) ).
fof(f1131,plain,
! [X3,X1] :
( vplus(X1,X3) = sK21(X1,X3)
| ~ rreal(X1)
| ~ rreal(X3) ),
inference(equality_resolution,[],[f1130]) ).
fof(f1130,plain,
! [X2,X3,X1] :
( vplus(X1,X2) = sK21(X1,X2)
| ~ rreal(X1)
| ~ rreal(X3)
| X2 != X3 ),
inference(equality_resolution,[],[f817]) ).
fof(f817,plain,
! [X2,X3,X0,X1] :
( vplus(X0,X2) = sK21(X0,X2)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(cnf_transformation,[],[f592]) ).
fof(f592,plain,
! [X0,X1,X2,X3] :
( ( rreal(sK21(X0,X2))
& vplus(X0,X2) = sK21(X0,X2) )
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f394,f591]) ).
fof(f591,plain,
! [X0,X2] :
( ? [X4] :
( rreal(X4)
& vplus(X0,X2) = X4 )
=> ( rreal(sK21(X0,X2))
& vplus(X0,X2) = sK21(X0,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f394,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rreal(X4)
& vplus(X0,X2) = X4 )
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(flattening,[],[f393]) ).
fof(f393,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rreal(X4)
& vplus(X0,X2) = X4 )
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(ennf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0,X1,X2,X3] :
( ( rreal(X1)
& X0 = X1
& rreal(X3)
& X2 = X3 )
=> ? [X4] :
( rreal(X4)
& vplus(X0,X2) = X4 ) ),
inference(rectify,[],[f125]) ).
fof(f125,axiom,
! [X315,X316,X317,X318] :
( ( rreal(X316)
& X315 = X316
& rreal(X318)
& X317 = X318 )
=> ? [X319] :
( rreal(X319)
& vplus(X315,X317) = X319 ) ),
file('/export/starexec/sandbox/tmp/tmp.fZcr8Q7okY/Vampire---4.8_19255','qu(cond(axiom(139), 0), imp(cond(axiom(139), 0)))') ).
fof(f1129,plain,
! [X3,X1] :
( rreal(sK21(X1,X3))
| ~ rreal(X1)
| ~ rreal(X3) ),
inference(equality_resolution,[],[f1128]) ).
fof(f1128,plain,
! [X2,X3,X1] :
( rreal(sK21(X1,X2))
| ~ rreal(X1)
| ~ rreal(X3)
| X2 != X3 ),
inference(equality_resolution,[],[f818]) ).
fof(f818,plain,
! [X2,X3,X0,X1] :
( rreal(sK21(X0,X2))
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(cnf_transformation,[],[f592]) ).
fof(f4322,plain,
( ! [X4,X5] :
( ~ rreal(X4)
| ~ rreal(X5)
| ~ rless(v0,X4)
| ~ rless(vplus(X5,X4),X5)
| ~ rreal(vplus(X5,X4)) )
| ~ spl119_18 ),
inference(duplicate_literal_removal,[],[f4311]) ).
fof(f4311,plain,
( ! [X4,X5] :
( ~ rreal(X4)
| ~ rreal(X5)
| ~ rless(v0,X4)
| ~ rreal(X5)
| ~ rless(vplus(X5,X4),X5)
| ~ rreal(vplus(X5,X4)) )
| ~ spl119_18 ),
inference(resolution,[],[f4212,f3851]) ).
fof(f3851,plain,
! [X0,X1] :
( ~ rless(X1,X0)
| ~ rreal(X1)
| ~ rless(X0,X1)
| ~ rreal(X0) ),
inference(duplicate_literal_removal,[],[f3844]) ).
fof(f3844,plain,
! [X0,X1] :
( ~ rreal(X0)
| ~ rreal(X1)
| ~ rreal(X0)
| ~ rless(X0,X1)
| ~ rless(X1,X0)
| ~ rreal(X0) ),
inference(resolution,[],[f1435,f1019]) ).
fof(f1019,plain,
! [X1] :
( ~ rless(X1,X1)
| ~ rreal(X1) ),
inference(equality_resolution,[],[f772]) ).
fof(f772,plain,
! [X0,X1] :
( ~ rless(X0,X0)
| ~ rreal(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f350]) ).
fof(f350,plain,
! [X0,X1] :
( ~ rless(X0,X0)
| ~ rreal(X1)
| X0 != X1 ),
inference(flattening,[],[f349]) ).
fof(f349,plain,
! [X0,X1] :
( ~ rless(X0,X0)
| ~ rreal(X1)
| X0 != X1 ),
inference(ennf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0,X1] :
( ( rreal(X1)
& X0 = X1 )
=> ~ rless(X0,X0) ),
inference(rectify,[],[f96]) ).
fof(f96,axiom,
! [X125,X126] :
( ( rreal(X126)
& X125 = X126 )
=> ~ rless(X125,X125) ),
file('/export/starexec/sandbox/tmp/tmp.fZcr8Q7okY/Vampire---4.8_19255','qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))') ).
fof(f1435,plain,
! [X3,X1,X5] :
( rless(X1,X5)
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| ~ rless(X1,X3)
| ~ rless(X3,X5) ),
inference(equality_resolution,[],[f1434]) ).
fof(f1434,plain,
! [X3,X1,X4,X5] :
( rless(X1,X4)
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| X4 != X5
| ~ rless(X1,X3)
| ~ rless(X3,X4) ),
inference(equality_resolution,[],[f1433]) ).
fof(f1433,plain,
! [X2,X3,X1,X4,X5] :
( rless(X1,X4)
| ~ rreal(X1)
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| ~ rless(X1,X2)
| ~ rless(X2,X4) ),
inference(equality_resolution,[],[f913]) ).
fof(f913,plain,
! [X2,X3,X0,X1,X4,X5] :
( rless(X0,X4)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| ~ rless(X0,X2)
| ~ rless(X2,X4) ),
inference(cnf_transformation,[],[f488]) ).
fof(f488,plain,
! [X0,X1,X2,X3,X4,X5] :
( rless(X0,X4)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| ~ rless(X0,X2)
| ~ rless(X2,X4) ),
inference(flattening,[],[f487]) ).
fof(f487,plain,
! [X0,X1,X2,X3,X4,X5] :
( rless(X0,X4)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| ~ rless(X0,X2)
| ~ rless(X2,X4) ),
inference(ennf_transformation,[],[f270]) ).
fof(f270,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rreal(X1)
& X0 = X1
& rreal(X3)
& X2 = X3
& rreal(X5)
& X4 = X5
& rless(X0,X2)
& rless(X2,X4) )
=> rless(X0,X4) ),
inference(rectify,[],[f123]) ).
fof(f123,axiom,
! [X305,X306,X307,X308,X309,X310] :
( ( rreal(X306)
& X305 = X306
& rreal(X308)
& X307 = X308
& rreal(X310)
& X309 = X310
& rless(X305,X307)
& rless(X307,X309) )
=> rless(X305,X309) ),
file('/export/starexec/sandbox/tmp/tmp.fZcr8Q7okY/Vampire---4.8_19255','qu(cond(axiom(151), 0), imp(cond(axiom(151), 0)))') ).
fof(f4212,plain,
( ! [X3,X4] :
( rless(X4,vplus(X4,X3))
| ~ rreal(X3)
| ~ rreal(X4)
| ~ rless(v0,X3) )
| ~ spl119_18 ),
inference(duplicate_literal_removal,[],[f4209]) ).
fof(f4209,plain,
( ! [X3,X4] :
( rless(X4,vplus(X4,X3))
| ~ rreal(X3)
| ~ rreal(X4)
| ~ rless(v0,X3)
| ~ rreal(X3)
| ~ rreal(X4) )
| ~ spl119_18 ),
inference(superposition,[],[f4058,f1125]) ).
fof(f14969,plain,
( ~ spl119_238
| ~ spl119_18
| ~ spl119_83
| ~ spl119_123
| spl119_142
| ~ spl119_233 ),
inference(avatar_split_clause,[],[f14897,f14761,f3477,f3142,f2646,f1992,f14966]) ).
fof(f14966,plain,
( spl119_238
<=> sK16(vd1303,vd1287) = sK16(vd1287,vd1289) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_238])]) ).
fof(f3477,plain,
( spl119_142
<=> v0 = sF118 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_142])]) ).
fof(f14897,plain,
( sK16(vd1303,vd1287) != sK16(vd1287,vd1289)
| ~ spl119_18
| ~ spl119_83
| ~ spl119_123
| spl119_142
| ~ spl119_233 ),
inference(subsumption_resolution,[],[f14896,f3479]) ).
fof(f3479,plain,
( v0 != sF118
| spl119_142 ),
inference(avatar_component_clause,[],[f3477]) ).
fof(f14896,plain,
( sK16(vd1303,vd1287) != sK16(vd1287,vd1289)
| v0 = sF118
| ~ spl119_18
| ~ spl119_83
| ~ spl119_123
| ~ spl119_233 ),
inference(subsumption_resolution,[],[f14895,f3144]) ).
fof(f14895,plain,
( sK16(vd1303,vd1287) != sK16(vd1287,vd1289)
| ~ rreal(sK16(vd1287,vd1289))
| v0 = sF118
| ~ spl119_18
| ~ spl119_83
| ~ spl119_233 ),
inference(subsumption_resolution,[],[f14824,f2648]) ).
fof(f14824,plain,
( sK16(vd1303,vd1287) != sK16(vd1287,vd1289)
| ~ rreal(sF118)
| ~ rreal(sK16(vd1287,vd1289))
| v0 = sF118
| ~ spl119_18
| ~ spl119_233 ),
inference(superposition,[],[f4296,f14763]) ).
fof(f4296,plain,
( ! [X3,X4] :
( vplus(X4,X3) != X4
| ~ rreal(X3)
| ~ rreal(X4)
| v0 = X3 )
| ~ spl119_18 ),
inference(duplicate_literal_removal,[],[f4294]) ).
fof(f4294,plain,
( ! [X3,X4] :
( vplus(X4,X3) != X4
| ~ rreal(X3)
| ~ rreal(X4)
| v0 = X3
| ~ rreal(X3)
| ~ rreal(X4) )
| ~ spl119_18 ),
inference(superposition,[],[f4172,f1125]) ).
fof(f4172,plain,
( ! [X8,X9] :
( vplus(X9,X8) != X8
| ~ rreal(X9)
| ~ rreal(X8)
| v0 = X9 )
| ~ spl119_18 ),
inference(subsumption_resolution,[],[f4167,f1994]) ).
fof(f4167,plain,
( ! [X8,X9] :
( vplus(X9,X8) != X8
| ~ rreal(v0)
| ~ rreal(X9)
| ~ rreal(X8)
| v0 = X9 )
| ~ spl119_18 ),
inference(duplicate_literal_removal,[],[f4156]) ).
fof(f4156,plain,
( ! [X8,X9] :
( vplus(X9,X8) != X8
| ~ rreal(v0)
| ~ rreal(X9)
| ~ rreal(X8)
| v0 = X9
| ~ rreal(X8) )
| ~ spl119_18 ),
inference(superposition,[],[f1477,f2695]) ).
fof(f14764,plain,
( spl119_233
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| ~ spl119_56
| ~ spl119_116
| ~ spl119_130 ),
inference(avatar_split_clause,[],[f14695,f3207,f3060,f2207,f2190,f2077,f2061,f1934,f14761]) ).
fof(f1934,plain,
( spl119_7
<=> rpoint(vd1303) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_7])]) ).
fof(f2061,plain,
( spl119_30
<=> rpoint(vd1289) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_30])]) ).
fof(f2190,plain,
( spl119_53
<=> rR(vd1289,vd1287,vd1303) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_53])]) ).
fof(f2207,plain,
( spl119_56
<=> sF118 = vf(vd1289,vd1303) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_56])]) ).
fof(f3060,plain,
( spl119_116
<=> vf(vd1287,vd1289) = sK16(vd1287,vd1289) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_116])]) ).
fof(f3207,plain,
( spl119_130
<=> vf(vd1287,vd1303) = sK16(vd1303,vd1287) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_130])]) ).
fof(f14695,plain,
( sK16(vd1303,vd1287) = vplus(sK16(vd1287,vd1289),sF118)
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| ~ spl119_56
| ~ spl119_116
| ~ spl119_130 ),
inference(forward_demodulation,[],[f14694,f3209]) ).
fof(f3209,plain,
( vf(vd1287,vd1303) = sK16(vd1303,vd1287)
| ~ spl119_130 ),
inference(avatar_component_clause,[],[f3207]) ).
fof(f14694,plain,
( vf(vd1287,vd1303) = vplus(sK16(vd1287,vd1289),sF118)
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| ~ spl119_56
| ~ spl119_116 ),
inference(subsumption_resolution,[],[f14693,f2192]) ).
fof(f2192,plain,
( rR(vd1289,vd1287,vd1303)
| ~ spl119_53 ),
inference(avatar_component_clause,[],[f2190]) ).
fof(f14693,plain,
( vf(vd1287,vd1303) = vplus(sK16(vd1287,vd1289),sF118)
| ~ rR(vd1289,vd1287,vd1303)
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_56
| ~ spl119_116 ),
inference(subsumption_resolution,[],[f14623,f2079]) ).
fof(f14623,plain,
( vf(vd1287,vd1303) = vplus(sK16(vd1287,vd1289),sF118)
| ~ rpoint(vd1287)
| ~ rR(vd1289,vd1287,vd1303)
| ~ spl119_7
| ~ spl119_30
| ~ spl119_56
| ~ spl119_116 ),
inference(superposition,[],[f8841,f3062]) ).
fof(f3062,plain,
( vf(vd1287,vd1289) = sK16(vd1287,vd1289)
| ~ spl119_116 ),
inference(avatar_component_clause,[],[f3060]) ).
fof(f8841,plain,
( ! [X28] :
( vf(X28,vd1303) = vplus(vf(X28,vd1289),sF118)
| ~ rpoint(X28)
| ~ rR(vd1289,X28,vd1303) )
| ~ spl119_7
| ~ spl119_30
| ~ spl119_56 ),
inference(subsumption_resolution,[],[f8840,f1936]) ).
fof(f1936,plain,
( rpoint(vd1303)
| ~ spl119_7 ),
inference(avatar_component_clause,[],[f1934]) ).
fof(f8840,plain,
( ! [X28] :
( vf(X28,vd1303) = vplus(vf(X28,vd1289),sF118)
| ~ rpoint(X28)
| ~ rpoint(vd1303)
| ~ rR(vd1289,X28,vd1303) )
| ~ spl119_30
| ~ spl119_56 ),
inference(subsumption_resolution,[],[f8711,f2063]) ).
fof(f2063,plain,
( rpoint(vd1289)
| ~ spl119_30 ),
inference(avatar_component_clause,[],[f2061]) ).
fof(f8711,plain,
( ! [X28] :
( vf(X28,vd1303) = vplus(vf(X28,vd1289),sF118)
| ~ rpoint(X28)
| ~ rpoint(vd1289)
| ~ rpoint(vd1303)
| ~ rR(vd1289,X28,vd1303) )
| ~ spl119_56 ),
inference(superposition,[],[f1063,f2209]) ).
fof(f2209,plain,
( sF118 = vf(vd1289,vd1303)
| ~ spl119_56 ),
inference(avatar_component_clause,[],[f2207]) ).
fof(f7798,plain,
( spl119_143
| ~ spl119_6
| ~ spl119_9
| ~ spl119_168 ),
inference(avatar_split_clause,[],[f7759,f6563,f1944,f1929,f3482]) ).
fof(f6563,plain,
( spl119_168
<=> ! [X27] :
( ~ rcenter(sK2,X27)
| ~ ron(vd1329,X27) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_168])]) ).
fof(f7759,plain,
( vd1329 = sK2
| ~ spl119_6
| ~ spl119_9
| ~ spl119_168 ),
inference(subsumption_resolution,[],[f7758,f1946]) ).
fof(f7758,plain,
( vd1329 = sK2
| ~ rpoint(sK2)
| ~ spl119_6
| ~ spl119_9
| ~ spl119_168 ),
inference(subsumption_resolution,[],[f7757,f1931]) ).
fof(f7757,plain,
( ~ rpoint(vd1329)
| vd1329 = sK2
| ~ rpoint(sK2)
| ~ spl119_9
| ~ spl119_168 ),
inference(duplicate_literal_removal,[],[f7752]) ).
fof(f7752,plain,
( ~ rpoint(vd1329)
| vd1329 = sK2
| ~ rpoint(sK2)
| ~ rpoint(vd1329)
| vd1329 = sK2
| ~ spl119_9
| ~ spl119_168 ),
inference(resolution,[],[f6571,f1005]) ).
fof(f1005,plain,
! [X3,X4] :
( ron(X4,sK6(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f1004]) ).
fof(f1004,plain,
! [X3,X1,X4] :
( ron(X1,sK6(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f759]) ).
fof(f759,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK6(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f555]) ).
fof(f555,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])],[f553,f554]) ).
fof(f554,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(f553,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,[],[f340]) ).
fof(f340,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,[],[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(ennf_transformation,[],[f192]) ).
fof(f192,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,[],[f110]) ).
fof(f110,axiom,
! [X244,X245] :
( ( ? [X247] :
( rpoint(X247)
& X244 = X247 )
& ? [X246] :
( rpoint(X246)
& X245 = X246 )
& X244 != X245 )
=> ? [X248] :
( rcircle(X248)
& rcenter(X244,X248)
& ron(X245,X248) ) ),
file('/export/starexec/sandbox/tmp/tmp.fZcr8Q7okY/Vampire---4.8_19255','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))') ).
fof(f6571,plain,
( ! [X0] :
( ~ ron(vd1329,sK6(sK2,X0))
| ~ rpoint(X0)
| sK2 = X0 )
| ~ spl119_9
| ~ spl119_168 ),
inference(subsumption_resolution,[],[f6570,f1946]) ).
fof(f6570,plain,
( ! [X0] :
( ~ ron(vd1329,sK6(sK2,X0))
| ~ rpoint(sK2)
| ~ rpoint(X0)
| sK2 = X0 )
| ~ spl119_168 ),
inference(resolution,[],[f6564,f1003]) ).
fof(f1003,plain,
! [X3,X4] :
( rcenter(X3,sK6(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f1002]) ).
fof(f1002,plain,
! [X3,X1,X4] :
( rcenter(X3,sK6(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f760]) ).
fof(f760,plain,
! [X3,X0,X1,X4] :
( rcenter(X0,sK6(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f555]) ).
fof(f6564,plain,
( ! [X27] :
( ~ rcenter(sK2,X27)
| ~ ron(vd1329,X27) )
| ~ spl119_168 ),
inference(avatar_component_clause,[],[f6563]) ).
fof(f7083,plain,
( vd1289 != vd1303
| rR(vd1303,vd1287,vd1289)
| ~ rR(vd1289,vd1287,vd1303) ),
introduced(theory_tautology_sat_conflict,[]) ).
fof(f7076,plain,
( spl119_141
| ~ spl119_7
| ~ spl119_30
| ~ spl119_164 ),
inference(avatar_split_clause,[],[f7035,f6397,f2061,f1934,f3473]) ).
fof(f3473,plain,
( spl119_141
<=> vd1289 = vd1303 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_141])]) ).
fof(f6397,plain,
( spl119_164
<=> ! [X18] :
( ~ rcenter(vd1289,X18)
| ~ ron(vd1303,X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_164])]) ).
fof(f7035,plain,
( vd1289 = vd1303
| ~ spl119_7
| ~ spl119_30
| ~ spl119_164 ),
inference(subsumption_resolution,[],[f7034,f2063]) ).
fof(f7034,plain,
( vd1289 = vd1303
| ~ rpoint(vd1289)
| ~ spl119_7
| ~ spl119_30
| ~ spl119_164 ),
inference(subsumption_resolution,[],[f7033,f1936]) ).
fof(f7033,plain,
( ~ rpoint(vd1303)
| vd1289 = vd1303
| ~ rpoint(vd1289)
| ~ spl119_30
| ~ spl119_164 ),
inference(duplicate_literal_removal,[],[f7028]) ).
fof(f7028,plain,
( ~ rpoint(vd1303)
| vd1289 = vd1303
| ~ rpoint(vd1289)
| ~ rpoint(vd1303)
| vd1289 = vd1303
| ~ spl119_30
| ~ spl119_164 ),
inference(resolution,[],[f6405,f1005]) ).
fof(f6405,plain,
( ! [X0] :
( ~ ron(vd1303,sK6(vd1289,X0))
| ~ rpoint(X0)
| vd1289 = X0 )
| ~ spl119_30
| ~ spl119_164 ),
inference(subsumption_resolution,[],[f6404,f2063]) ).
fof(f6404,plain,
( ! [X0] :
( ~ ron(vd1303,sK6(vd1289,X0))
| ~ rpoint(vd1289)
| ~ rpoint(X0)
| vd1289 = X0 )
| ~ spl119_164 ),
inference(resolution,[],[f6398,f1003]) ).
fof(f6398,plain,
( ! [X18] :
( ~ rcenter(vd1289,X18)
| ~ ron(vd1303,X18) )
| ~ spl119_164 ),
inference(avatar_component_clause,[],[f6397]) ).
fof(f6569,plain,
( spl119_168
| spl119_169
| ~ spl119_6
| ~ spl119_55 ),
inference(avatar_split_clause,[],[f6395,f2202,f1929,f6566,f6563]) ).
fof(f6395,plain,
( ! [X27] :
( rless(v0,sF117)
| ~ rcenter(sK2,X27)
| ~ ron(vd1329,X27) )
| ~ spl119_6
| ~ spl119_55 ),
inference(subsumption_resolution,[],[f6371,f1931]) ).
fof(f6371,plain,
( ! [X27] :
( rless(v0,sF117)
| ~ rpoint(vd1329)
| ~ rcenter(sK2,X27)
| ~ ron(vd1329,X27) )
| ~ spl119_55 ),
inference(superposition,[],[f6317,f2204]) ).
fof(f6317,plain,
! [X2,X0,X1] :
( rless(v0,vf(X0,X1))
| ~ rpoint(X1)
| ~ rcenter(X0,X2)
| ~ ron(X1,X2) ),
inference(subsumption_resolution,[],[f6316,f2521]) ).
fof(f2521,plain,
! [X0,X1] :
( ~ rcenter(X0,X1)
| rpoint(X0) ),
inference(duplicate_literal_removal,[],[f2520]) ).
fof(f2520,plain,
! [X0,X1] :
( rpoint(X0)
| ~ rcenter(X0,X1)
| ~ rcenter(X0,X1) ),
inference(superposition,[],[f756,f755]) ).
fof(f755,plain,
! [X0,X1] :
( sK4(X0,X1) = X0
| ~ rcenter(X0,X1) ),
inference(cnf_transformation,[],[f550]) ).
fof(f550,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])],[f334,f549]) ).
fof(f549,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(f334,plain,
! [X0,X1] :
( ? [X2,X3] :
( rpoint(X2)
& X0 = X2
& rcircle(X3)
& X1 = X3 )
| ~ rcenter(X0,X1) ),
inference(ennf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0,X1] :
( rcenter(X0,X1)
=> ? [X2,X3] :
( rpoint(X2)
& X0 = X2
& rcircle(X3)
& X1 = X3 ) ),
inference(rectify,[],[f175]) ).
fof(f175,axiom,
! [X680,X681] :
( rcenter(X680,X681)
=> ? [X682,X683] :
( rpoint(X682)
& X680 = X682
& rcircle(X683)
& X681 = X683 ) ),
file('/export/starexec/sandbox/tmp/tmp.fZcr8Q7okY/Vampire---4.8_19255','qu(cond(axiom(1), 0), imp(cond(axiom(1), 0)))') ).
fof(f756,plain,
! [X0,X1] :
( rpoint(sK4(X0,X1))
| ~ rcenter(X0,X1) ),
inference(cnf_transformation,[],[f550]) ).
fof(f6316,plain,
! [X2,X0,X1] :
( rless(v0,vf(X0,X1))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rcenter(X0,X2)
| ~ ron(X1,X2) ),
inference(subsumption_resolution,[],[f6310,f752]) ).
fof(f752,plain,
! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ),
inference(cnf_transformation,[],[f333]) ).
fof(f333,plain,
! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ),
inference(ennf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0,X1] :
( rcenter(X0,X1)
=> rinside(X0,X1) ),
inference(rectify,[],[f120]) ).
fof(f120,axiom,
! [X287,X288] :
( rcenter(X287,X288)
=> rinside(X287,X288) ),
file('/export/starexec/sandbox/tmp/tmp.fZcr8Q7okY/Vampire---4.8_19255','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).
fof(f6310,plain,
! [X2,X0,X1] :
( rless(v0,vf(X0,X1))
| ~ rinside(X0,X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rcenter(X0,X2)
| ~ ron(X1,X2) ),
inference(duplicate_literal_removal,[],[f6267]) ).
fof(f6267,plain,
! [X2,X0,X1] :
( rless(v0,vf(X0,X1))
| ~ rinside(X0,X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rcenter(X0,X2)
| ~ ron(X1,X2)
| ~ rpoint(X0) ),
inference(superposition,[],[f1198,f1899]) ).
fof(f1899,plain,
! [X3] :
( v0 = vf(X3,X3)
| ~ rpoint(X3) ),
inference(duplicate_literal_removal,[],[f1045]) ).
fof(f1045,plain,
! [X3] :
( v0 = vf(X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1044]) ).
fof(f1044,plain,
! [X2,X3] :
( v0 = vf(X2,X2)
| ~ rpoint(X2)
| ~ rpoint(X3)
| X2 != X3 ),
inference(equality_resolution,[],[f1043]) ).
fof(f1043,plain,
! [X2,X3,X1] :
( v0 = vf(X1,X1)
| ~ rpoint(X2)
| X1 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(equality_resolution,[],[f788]) ).
fof(f788,plain,
! [X2,X3,X0,X1] :
( v0 = vf(X0,X1)
| X0 != X1
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f572]) ).
fof(f572,plain,
! [X0,X1] :
( ( ( v0 = vf(X0,X1)
| X0 != X1 )
& ( X0 = X1
| v0 != vf(X0,X1) ) )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(nnf_transformation,[],[f364]) ).
fof(f364,plain,
! [X0,X1] :
( ( v0 = vf(X0,X1)
<=> X0 = X1 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f363]) ).
fof(f363,plain,
! [X0,X1] :
( ( v0 = vf(X0,X1)
<=> X0 = X1 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> ( v0 = vf(X0,X1)
<=> X0 = X1 ) ),
inference(rectify,[],[f94]) ).
fof(f94,axiom,
! [X116,X117] :
( ( ? [X119] :
( rpoint(X119)
& X116 = X119 )
& ? [X118] :
( rpoint(X118)
& X117 = X118 ) )
=> ( v0 = vf(X116,X117)
<=> X116 = X117 ) ),
file('/export/starexec/sandbox/tmp/tmp.fZcr8Q7okY/Vampire---4.8_19255','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
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] :
( 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,[],[f853]) ).
fof(f853,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,[],[f609]) ).
fof(f609,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,[],[f424]) ).
fof(f424,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,[],[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(ennf_transformation,[],[f236]) ).
fof(f236,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,[],[f101]) ).
fof(f101,axiom,
! [X183,X184,X185,X186] :
( ( ? [X188] :
( rpoint(X188)
& X183 = X188 )
& ? [X187] :
( rpoint(X187)
& X184 = X187 )
& rcenter(X185,X186)
& ron(X184,X186) )
=> ( rless(vf(X185,X183),vf(X185,X184))
<=> rinside(X183,X186) ) ),
file('/export/starexec/sandbox/tmp/tmp.fZcr8Q7okY/Vampire---4.8_19255','qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))') ).
fof(f6403,plain,
( spl119_164
| spl119_165
| ~ spl119_7
| ~ spl119_56 ),
inference(avatar_split_clause,[],[f6386,f2207,f1934,f6400,f6397]) ).
fof(f6386,plain,
( ! [X18] :
( rless(v0,sF118)
| ~ rcenter(vd1289,X18)
| ~ ron(vd1303,X18) )
| ~ spl119_7
| ~ spl119_56 ),
inference(subsumption_resolution,[],[f6362,f1936]) ).
fof(f6362,plain,
( ! [X18] :
( rless(v0,sF118)
| ~ rpoint(vd1303)
| ~ rcenter(vd1289,X18)
| ~ ron(vd1303,X18) )
| ~ spl119_56 ),
inference(superposition,[],[f6317,f2209]) ).
fof(f3786,plain,
( ~ spl119_157
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| spl119_154 ),
inference(avatar_split_clause,[],[f3748,f3732,f2077,f2061,f1934,f3783]) ).
fof(f3783,plain,
( spl119_157
<=> rR(vd1303,vd1287,vd1289) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_157])]) ).
fof(f3732,plain,
( spl119_154
<=> rR(vd1303,vd1289,vd1287) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_154])]) ).
fof(f3748,plain,
( ~ rR(vd1303,vd1287,vd1289)
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| spl119_154 ),
inference(subsumption_resolution,[],[f3747,f2063]) ).
fof(f3747,plain,
( ~ rpoint(vd1289)
| ~ rR(vd1303,vd1287,vd1289)
| ~ spl119_7
| ~ spl119_33
| spl119_154 ),
inference(subsumption_resolution,[],[f3746,f1936]) ).
fof(f3746,plain,
( ~ rpoint(vd1303)
| ~ rpoint(vd1289)
| ~ rR(vd1303,vd1287,vd1289)
| ~ spl119_33
| spl119_154 ),
inference(subsumption_resolution,[],[f3745,f2079]) ).
fof(f3745,plain,
( ~ rpoint(vd1287)
| ~ rpoint(vd1303)
| ~ rpoint(vd1289)
| ~ rR(vd1303,vd1287,vd1289)
| spl119_154 ),
inference(resolution,[],[f3734,f1066]) ).
fof(f3734,plain,
( ~ rR(vd1303,vd1289,vd1287)
| spl119_154 ),
inference(avatar_component_clause,[],[f3732]) ).
fof(f3735,plain,
( ~ spl119_154
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53 ),
inference(avatar_split_clause,[],[f3710,f2190,f2077,f2061,f1934,f3732]) ).
fof(f3710,plain,
( ~ rR(vd1303,vd1289,vd1287)
| ~ spl119_7
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53 ),
inference(subsumption_resolution,[],[f3709,f1936]) ).
fof(f3709,plain,
( ~ rR(vd1303,vd1289,vd1287)
| ~ rpoint(vd1303)
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53 ),
inference(subsumption_resolution,[],[f3708,f2079]) ).
fof(f3708,plain,
( ~ rpoint(vd1287)
| ~ rR(vd1303,vd1289,vd1287)
| ~ rpoint(vd1303)
| ~ spl119_30
| ~ spl119_53 ),
inference(subsumption_resolution,[],[f3699,f2063]) ).
fof(f3699,plain,
( ~ rpoint(vd1289)
| ~ rpoint(vd1287)
| ~ rR(vd1303,vd1289,vd1287)
| ~ rpoint(vd1303)
| ~ spl119_53 ),
inference(resolution,[],[f3635,f2192]) ).
fof(f3635,plain,
! [X2,X0,X1] :
( ~ rR(X1,X2,X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rR(X0,X1,X2)
| ~ rpoint(X0) ),
inference(duplicate_literal_removal,[],[f3632]) ).
fof(f3632,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,[],[f1077,f1066]) ).
fof(f1077,plain,
! [X3,X4,X5] :
( ~ rR(X4,X3,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X3,X4,X5) ),
inference(equality_resolution,[],[f1076]) ).
fof(f1076,plain,
! [X2,X3,X4,X5] :
( ~ rR(X3,X4,X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X4,X3,X2) ),
inference(equality_resolution,[],[f1075]) ).
fof(f1075,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,[],[f796]) ).
fof(f796,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,[],[f374]) ).
fof(f3480,plain,
( spl119_141
| ~ spl119_142
| ~ spl119_7
| ~ spl119_30
| ~ spl119_56 ),
inference(avatar_split_clause,[],[f3438,f2207,f2061,f1934,f3477,f3473]) ).
fof(f3438,plain,
( v0 != sF118
| vd1289 = vd1303
| ~ spl119_7
| ~ spl119_30
| ~ spl119_56 ),
inference(subsumption_resolution,[],[f3437,f1936]) ).
fof(f3437,plain,
( v0 != sF118
| vd1289 = vd1303
| ~ rpoint(vd1303)
| ~ spl119_30
| ~ spl119_56 ),
inference(subsumption_resolution,[],[f3421,f2063]) ).
fof(f3421,plain,
( v0 != sF118
| vd1289 = vd1303
| ~ rpoint(vd1289)
| ~ rpoint(vd1303)
| ~ spl119_56 ),
inference(superposition,[],[f1047,f2209]) ).
fof(f1047,plain,
! [X2,X3] :
( v0 != vf(X2,X3)
| X2 = X3
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1046]) ).
fof(f1046,plain,
! [X2,X3,X1] :
( X1 = X2
| v0 != vf(X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| X1 != X3 ),
inference(equality_resolution,[],[f787]) ).
fof(f787,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| v0 != vf(X0,X1)
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f572]) ).
fof(f3241,plain,
( spl119_127
| ~ spl119_7
| ~ spl119_33
| ~ spl119_122 ),
inference(avatar_split_clause,[],[f3154,f3129,f2077,f1934,f3185]) ).
fof(f3185,plain,
( spl119_127
<=> sK16(vd1287,vd1303) = sK16(vd1303,vd1287) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_127])]) ).
fof(f3129,plain,
( spl119_122
<=> vf(vd1303,vd1287) = sK16(vd1287,vd1303) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_122])]) ).
fof(f3154,plain,
( sK16(vd1287,vd1303) = sK16(vd1303,vd1287)
| ~ spl119_7
| ~ spl119_33
| ~ spl119_122 ),
inference(subsumption_resolution,[],[f3153,f2079]) ).
fof(f3153,plain,
( sK16(vd1287,vd1303) = sK16(vd1303,vd1287)
| ~ rpoint(vd1287)
| ~ spl119_7
| ~ spl119_122 ),
inference(subsumption_resolution,[],[f3150,f1936]) ).
fof(f3150,plain,
( sK16(vd1287,vd1303) = sK16(vd1303,vd1287)
| ~ rpoint(vd1303)
| ~ rpoint(vd1287)
| ~ spl119_122 ),
inference(superposition,[],[f1057,f3131]) ).
fof(f3131,plain,
( vf(vd1303,vd1287) = sK16(vd1287,vd1303)
| ~ spl119_122 ),
inference(avatar_component_clause,[],[f3129]) ).
fof(f3216,plain,
( spl119_131
| ~ spl119_6
| ~ spl119_33
| ~ spl119_129 ),
inference(avatar_split_clause,[],[f3204,f3195,f2077,f1929,f3212]) ).
fof(f3204,plain,
( sK16(vd1287,vd1329) = sK16(vd1303,vd1287)
| ~ spl119_6
| ~ spl119_33
| ~ spl119_129 ),
inference(subsumption_resolution,[],[f3203,f1931]) ).
fof(f3203,plain,
( sK16(vd1287,vd1329) = sK16(vd1303,vd1287)
| ~ rpoint(vd1329)
| ~ spl119_33
| ~ spl119_129 ),
inference(subsumption_resolution,[],[f3200,f2079]) ).
fof(f3200,plain,
( sK16(vd1287,vd1329) = sK16(vd1303,vd1287)
| ~ rpoint(vd1287)
| ~ rpoint(vd1329)
| ~ spl119_129 ),
inference(superposition,[],[f1057,f3197]) ).
fof(f3210,plain,
( spl119_130
| ~ spl119_7
| ~ spl119_33
| ~ spl119_112
| ~ spl119_122 ),
inference(avatar_split_clause,[],[f3180,f3129,f2994,f2077,f1934,f3207]) ).
fof(f2994,plain,
( spl119_112
<=> vf(vd1287,vd1303) = sK16(vd1287,vd1303) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_112])]) ).
fof(f3180,plain,
( vf(vd1287,vd1303) = sK16(vd1303,vd1287)
| ~ spl119_7
| ~ spl119_33
| ~ spl119_112
| ~ spl119_122 ),
inference(backward_demodulation,[],[f2996,f3152]) ).
fof(f3152,plain,
( sK16(vd1287,vd1303) = sK16(vd1303,vd1287)
| ~ spl119_7
| ~ spl119_33
| ~ spl119_122 ),
inference(subsumption_resolution,[],[f3151,f2079]) ).
fof(f3151,plain,
( sK16(vd1287,vd1303) = sK16(vd1303,vd1287)
| ~ rpoint(vd1287)
| ~ spl119_7
| ~ spl119_122 ),
inference(subsumption_resolution,[],[f3149,f1936]) ).
fof(f3149,plain,
( sK16(vd1287,vd1303) = sK16(vd1303,vd1287)
| ~ rpoint(vd1303)
| ~ rpoint(vd1287)
| ~ spl119_122 ),
inference(superposition,[],[f3131,f1057]) ).
fof(f2996,plain,
( vf(vd1287,vd1303) = sK16(vd1287,vd1303)
| ~ spl119_112 ),
inference(avatar_component_clause,[],[f2994]) ).
fof(f3198,plain,
( spl119_129
| ~ spl119_7
| ~ spl119_33
| ~ spl119_110
| ~ spl119_122 ),
inference(avatar_split_clause,[],[f3178,f3129,f2977,f2077,f1934,f3195]) ).
fof(f2977,plain,
( spl119_110
<=> vf(vd1287,vd1329) = sK16(vd1287,vd1303) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_110])]) ).
fof(f3178,plain,
( vf(vd1287,vd1329) = sK16(vd1303,vd1287)
| ~ spl119_7
| ~ spl119_33
| ~ spl119_110
| ~ spl119_122 ),
inference(backward_demodulation,[],[f2979,f3152]) ).
fof(f2979,plain,
( vf(vd1287,vd1329) = sK16(vd1287,vd1303)
| ~ spl119_110 ),
inference(avatar_component_clause,[],[f2977]) ).
fof(f3193,plain,
( spl119_128
| ~ spl119_7
| ~ spl119_33
| ~ spl119_121
| ~ spl119_122 ),
inference(avatar_split_clause,[],[f3181,f3129,f3122,f2077,f1934,f3190]) ).
fof(f3122,plain,
( spl119_121
<=> rreal(sK16(vd1287,vd1303)) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_121])]) ).
fof(f3181,plain,
( rreal(sK16(vd1303,vd1287))
| ~ spl119_7
| ~ spl119_33
| ~ spl119_121
| ~ spl119_122 ),
inference(backward_demodulation,[],[f3124,f3152]) ).
fof(f3124,plain,
( rreal(sK16(vd1287,vd1303))
| ~ spl119_121 ),
inference(avatar_component_clause,[],[f3122]) ).
fof(f3145,plain,
( spl119_123
| ~ spl119_9
| ~ spl119_33
| ~ spl119_114 ),
inference(avatar_split_clause,[],[f3140,f3044,f2077,f1944,f3142]) ).
fof(f3044,plain,
( spl119_114
<=> sK16(vd1287,sK2) = sK16(vd1287,vd1289) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_114])]) ).
fof(f3140,plain,
( rreal(sK16(vd1287,vd1289))
| ~ spl119_9
| ~ spl119_33
| ~ spl119_114 ),
inference(subsumption_resolution,[],[f3139,f1946]) ).
fof(f3139,plain,
( rreal(sK16(vd1287,vd1289))
| ~ rpoint(sK2)
| ~ spl119_33
| ~ spl119_114 ),
inference(subsumption_resolution,[],[f3138,f2079]) ).
fof(f3138,plain,
( rreal(sK16(vd1287,vd1289))
| ~ rpoint(vd1287)
| ~ rpoint(sK2)
| ~ spl119_114 ),
inference(superposition,[],[f1055,f3046]) ).
fof(f3046,plain,
( sK16(vd1287,sK2) = sK16(vd1287,vd1289)
| ~ spl119_114 ),
inference(avatar_component_clause,[],[f3044]) ).
fof(f1055,plain,
! [X3,X4] :
( rreal(sK16(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1054]) ).
fof(f1054,plain,
! [X3,X1,X4] :
( rreal(sK16(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4 ),
inference(equality_resolution,[],[f793]) ).
fof(f793,plain,
! [X3,X0,X1,X4] :
( rreal(sK16(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(cnf_transformation,[],[f578]) ).
fof(f3135,plain,
( spl119_122
| ~ spl119_7
| ~ spl119_33
| ~ spl119_112 ),
inference(avatar_split_clause,[],[f3011,f2994,f2077,f1934,f3129]) ).
fof(f3011,plain,
( vf(vd1303,vd1287) = sK16(vd1287,vd1303)
| ~ spl119_7
| ~ spl119_33
| ~ spl119_112 ),
inference(subsumption_resolution,[],[f3010,f2079]) ).
fof(f3010,plain,
( vf(vd1303,vd1287) = sK16(vd1287,vd1303)
| ~ rpoint(vd1287)
| ~ spl119_7
| ~ spl119_112 ),
inference(subsumption_resolution,[],[f3003,f1936]) ).
fof(f3003,plain,
( vf(vd1303,vd1287) = sK16(vd1287,vd1303)
| ~ rpoint(vd1303)
| ~ rpoint(vd1287)
| ~ spl119_112 ),
inference(superposition,[],[f1042,f2996]) ).
fof(f3125,plain,
( spl119_121
| ~ spl119_6
| ~ spl119_33
| ~ spl119_109 ),
inference(avatar_split_clause,[],[f3120,f2972,f2077,f1929,f3122]) ).
fof(f2972,plain,
( spl119_109
<=> sK16(vd1287,vd1329) = sK16(vd1287,vd1303) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_109])]) ).
fof(f3120,plain,
( rreal(sK16(vd1287,vd1303))
| ~ spl119_6
| ~ spl119_33
| ~ spl119_109 ),
inference(subsumption_resolution,[],[f3119,f1931]) ).
fof(f3119,plain,
( rreal(sK16(vd1287,vd1303))
| ~ rpoint(vd1329)
| ~ spl119_33
| ~ spl119_109 ),
inference(subsumption_resolution,[],[f3118,f2079]) ).
fof(f3118,plain,
( rreal(sK16(vd1287,vd1303))
| ~ rpoint(vd1287)
| ~ rpoint(vd1329)
| ~ spl119_109 ),
inference(superposition,[],[f1055,f2974]) ).
fof(f2974,plain,
( sK16(vd1287,vd1329) = sK16(vd1287,vd1303)
| ~ spl119_109 ),
inference(avatar_component_clause,[],[f2972]) ).
fof(f3066,plain,
( spl119_114
| ~ spl119_30
| ~ spl119_33
| ~ spl119_94 ),
inference(avatar_split_clause,[],[f2863,f2750,f2077,f2061,f3044]) ).
fof(f2750,plain,
( spl119_94
<=> vf(vd1287,vd1289) = sK16(vd1287,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_94])]) ).
fof(f2863,plain,
( sK16(vd1287,sK2) = sK16(vd1287,vd1289)
| ~ spl119_30
| ~ spl119_33
| ~ spl119_94 ),
inference(subsumption_resolution,[],[f2862,f2063]) ).
fof(f2862,plain,
( sK16(vd1287,sK2) = sK16(vd1287,vd1289)
| ~ rpoint(vd1289)
| ~ spl119_33
| ~ spl119_94 ),
inference(subsumption_resolution,[],[f2859,f2079]) ).
fof(f2859,plain,
( sK16(vd1287,sK2) = sK16(vd1287,vd1289)
| ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| ~ spl119_94 ),
inference(superposition,[],[f1057,f2752]) ).
fof(f2752,plain,
( vf(vd1287,vd1289) = sK16(vd1287,sK2)
| ~ spl119_94 ),
inference(avatar_component_clause,[],[f2750]) ).
fof(f3063,plain,
( spl119_116
| ~ spl119_30
| ~ spl119_33
| ~ spl119_94 ),
inference(avatar_split_clause,[],[f3041,f2750,f2077,f2061,f3060]) ).
fof(f3041,plain,
( vf(vd1287,vd1289) = sK16(vd1287,vd1289)
| ~ spl119_30
| ~ spl119_33
| ~ spl119_94 ),
inference(backward_demodulation,[],[f2752,f2861]) ).
fof(f2861,plain,
( sK16(vd1287,sK2) = sK16(vd1287,vd1289)
| ~ spl119_30
| ~ spl119_33
| ~ spl119_94 ),
inference(subsumption_resolution,[],[f2860,f2063]) ).
fof(f2860,plain,
( sK16(vd1287,sK2) = sK16(vd1287,vd1289)
| ~ rpoint(vd1289)
| ~ spl119_33
| ~ spl119_94 ),
inference(subsumption_resolution,[],[f2858,f2079]) ).
fof(f2858,plain,
( sK16(vd1287,sK2) = sK16(vd1287,vd1289)
| ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| ~ spl119_94 ),
inference(superposition,[],[f2752,f1057]) ).
fof(f3052,plain,
( spl119_115
| ~ spl119_30
| ~ spl119_33
| ~ spl119_94
| ~ spl119_95 ),
inference(avatar_split_clause,[],[f3042,f2755,f2750,f2077,f2061,f3049]) ).
fof(f2755,plain,
( spl119_95
<=> vf(vd1287,sK2) = sK16(vd1287,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_95])]) ).
fof(f3042,plain,
( vf(vd1287,sK2) = sK16(vd1287,vd1289)
| ~ spl119_30
| ~ spl119_33
| ~ spl119_94
| ~ spl119_95 ),
inference(backward_demodulation,[],[f2757,f2861]) ).
fof(f2757,plain,
( vf(vd1287,sK2) = sK16(vd1287,sK2)
| ~ spl119_95 ),
inference(avatar_component_clause,[],[f2755]) ).
fof(f3037,plain,
( spl119_109
| ~ spl119_7
| ~ spl119_33
| ~ spl119_91 ),
inference(avatar_split_clause,[],[f2841,f2725,f2077,f1934,f2972]) ).
fof(f2725,plain,
( spl119_91
<=> vf(vd1287,vd1303) = sK16(vd1287,vd1329) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_91])]) ).
fof(f2841,plain,
( sK16(vd1287,vd1329) = sK16(vd1287,vd1303)
| ~ spl119_7
| ~ spl119_33
| ~ spl119_91 ),
inference(subsumption_resolution,[],[f2840,f1936]) ).
fof(f2840,plain,
( sK16(vd1287,vd1329) = sK16(vd1287,vd1303)
| ~ rpoint(vd1303)
| ~ spl119_33
| ~ spl119_91 ),
inference(subsumption_resolution,[],[f2831,f2079]) ).
fof(f2831,plain,
( sK16(vd1287,vd1329) = sK16(vd1287,vd1303)
| ~ rpoint(vd1287)
| ~ rpoint(vd1303)
| ~ spl119_91 ),
inference(superposition,[],[f1057,f2727]) ).
fof(f2727,plain,
( vf(vd1287,vd1303) = sK16(vd1287,vd1329)
| ~ spl119_91 ),
inference(avatar_component_clause,[],[f2725]) ).
fof(f2997,plain,
( spl119_112
| ~ spl119_7
| ~ spl119_33
| ~ spl119_91 ),
inference(avatar_split_clause,[],[f2968,f2725,f2077,f1934,f2994]) ).
fof(f2968,plain,
( vf(vd1287,vd1303) = sK16(vd1287,vd1303)
| ~ spl119_7
| ~ spl119_33
| ~ spl119_91 ),
inference(backward_demodulation,[],[f2727,f2835]) ).
fof(f2835,plain,
( sK16(vd1287,vd1329) = sK16(vd1287,vd1303)
| ~ spl119_7
| ~ spl119_33
| ~ spl119_91 ),
inference(subsumption_resolution,[],[f2834,f1936]) ).
fof(f2834,plain,
( sK16(vd1287,vd1329) = sK16(vd1287,vd1303)
| ~ rpoint(vd1303)
| ~ spl119_33
| ~ spl119_91 ),
inference(subsumption_resolution,[],[f2828,f2079]) ).
fof(f2828,plain,
( sK16(vd1287,vd1329) = sK16(vd1287,vd1303)
| ~ rpoint(vd1287)
| ~ rpoint(vd1303)
| ~ spl119_91 ),
inference(superposition,[],[f2727,f1057]) ).
fof(f2980,plain,
( spl119_110
| ~ spl119_7
| ~ spl119_33
| ~ spl119_91
| ~ spl119_92 ),
inference(avatar_split_clause,[],[f2970,f2730,f2725,f2077,f1934,f2977]) ).
fof(f2730,plain,
( spl119_92
<=> vf(vd1287,vd1329) = sK16(vd1287,vd1329) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_92])]) ).
fof(f2970,plain,
( vf(vd1287,vd1329) = sK16(vd1287,vd1303)
| ~ spl119_7
| ~ spl119_33
| ~ spl119_91
| ~ spl119_92 ),
inference(backward_demodulation,[],[f2732,f2835]) ).
fof(f2732,plain,
( vf(vd1287,vd1329) = sK16(vd1287,vd1329)
| ~ spl119_92 ),
inference(avatar_component_clause,[],[f2730]) ).
fof(f2773,plain,
( spl119_94
| ~ spl119_9
| ~ spl119_33
| ~ spl119_68 ),
inference(avatar_split_clause,[],[f2621,f2377,f2077,f1944,f2750]) ).
fof(f2377,plain,
( spl119_68
<=> vf(vd1287,vd1289) = vf(vd1287,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_68])]) ).
fof(f2621,plain,
( vf(vd1287,vd1289) = sK16(vd1287,sK2)
| ~ spl119_9
| ~ spl119_33
| ~ spl119_68 ),
inference(subsumption_resolution,[],[f2620,f1946]) ).
fof(f2620,plain,
( vf(vd1287,vd1289) = sK16(vd1287,sK2)
| ~ rpoint(sK2)
| ~ spl119_33
| ~ spl119_68 ),
inference(subsumption_resolution,[],[f2592,f2079]) ).
fof(f2592,plain,
( vf(vd1287,vd1289) = sK16(vd1287,sK2)
| ~ rpoint(vd1287)
| ~ rpoint(sK2)
| ~ spl119_68 ),
inference(superposition,[],[f2379,f1057]) ).
fof(f2379,plain,
( vf(vd1287,vd1289) = vf(vd1287,sK2)
| ~ spl119_68 ),
inference(avatar_component_clause,[],[f2377]) ).
fof(f2760,plain,
( spl119_91
| ~ spl119_6
| ~ spl119_33
| ~ spl119_67 ),
inference(avatar_split_clause,[],[f2615,f2372,f2077,f1929,f2725]) ).
fof(f2372,plain,
( spl119_67
<=> vf(vd1287,vd1329) = vf(vd1287,vd1303) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_67])]) ).
fof(f2615,plain,
( vf(vd1287,vd1303) = sK16(vd1287,vd1329)
| ~ spl119_6
| ~ spl119_33
| ~ spl119_67 ),
inference(subsumption_resolution,[],[f2614,f1931]) ).
fof(f2614,plain,
( vf(vd1287,vd1303) = sK16(vd1287,vd1329)
| ~ rpoint(vd1329)
| ~ spl119_33
| ~ spl119_67 ),
inference(subsumption_resolution,[],[f2589,f2079]) ).
fof(f2589,plain,
( vf(vd1287,vd1303) = sK16(vd1287,vd1329)
| ~ rpoint(vd1287)
| ~ rpoint(vd1329)
| ~ spl119_67 ),
inference(superposition,[],[f2374,f1057]) ).
fof(f2374,plain,
( vf(vd1287,vd1329) = vf(vd1287,vd1303)
| ~ spl119_67 ),
inference(avatar_component_clause,[],[f2372]) ).
fof(f2758,plain,
( spl119_95
| ~ spl119_9
| ~ spl119_33
| ~ spl119_68 ),
inference(avatar_split_clause,[],[f2748,f2377,f2077,f1944,f2755]) ).
fof(f2748,plain,
( vf(vd1287,sK2) = sK16(vd1287,sK2)
| ~ spl119_9
| ~ spl119_33
| ~ spl119_68 ),
inference(backward_demodulation,[],[f2379,f2607]) ).
fof(f2607,plain,
( vf(vd1287,vd1289) = sK16(vd1287,sK2)
| ~ spl119_9
| ~ spl119_33
| ~ spl119_68 ),
inference(subsumption_resolution,[],[f2606,f1946]) ).
fof(f2606,plain,
( vf(vd1287,vd1289) = sK16(vd1287,sK2)
| ~ rpoint(sK2)
| ~ spl119_33
| ~ spl119_68 ),
inference(subsumption_resolution,[],[f2582,f2079]) ).
fof(f2582,plain,
( vf(vd1287,vd1289) = sK16(vd1287,sK2)
| ~ rpoint(vd1287)
| ~ rpoint(sK2)
| ~ spl119_68 ),
inference(superposition,[],[f1057,f2379]) ).
fof(f2733,plain,
( spl119_92
| ~ spl119_6
| ~ spl119_33
| ~ spl119_67 ),
inference(avatar_split_clause,[],[f2722,f2372,f2077,f1929,f2730]) ).
fof(f2722,plain,
( vf(vd1287,vd1329) = sK16(vd1287,vd1329)
| ~ spl119_6
| ~ spl119_33
| ~ spl119_67 ),
inference(backward_demodulation,[],[f2374,f2605]) ).
fof(f2605,plain,
( vf(vd1287,vd1303) = sK16(vd1287,vd1329)
| ~ spl119_6
| ~ spl119_33
| ~ spl119_67 ),
inference(subsumption_resolution,[],[f2604,f1931]) ).
fof(f2604,plain,
( vf(vd1287,vd1303) = sK16(vd1287,vd1329)
| ~ rpoint(vd1329)
| ~ spl119_33
| ~ spl119_67 ),
inference(subsumption_resolution,[],[f2581,f2079]) ).
fof(f2581,plain,
( vf(vd1287,vd1303) = sK16(vd1287,vd1329)
| ~ rpoint(vd1287)
| ~ rpoint(vd1329)
| ~ spl119_67 ),
inference(superposition,[],[f1057,f2374]) ).
fof(f2657,plain,
( spl119_84
| ~ spl119_6
| ~ spl119_9
| ~ spl119_82 ),
inference(avatar_split_clause,[],[f2652,f2636,f1944,f1929,f2654]) ).
fof(f2636,plain,
( spl119_82
<=> sF117 = sK16(sK2,vd1329) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_82])]) ).
fof(f2652,plain,
( rreal(sF117)
| ~ spl119_6
| ~ spl119_9
| ~ spl119_82 ),
inference(subsumption_resolution,[],[f2651,f1931]) ).
fof(f2651,plain,
( rreal(sF117)
| ~ rpoint(vd1329)
| ~ spl119_9
| ~ spl119_82 ),
inference(subsumption_resolution,[],[f2650,f1946]) ).
fof(f2650,plain,
( rreal(sF117)
| ~ rpoint(sK2)
| ~ rpoint(vd1329)
| ~ spl119_82 ),
inference(superposition,[],[f1055,f2638]) ).
fof(f2638,plain,
( sF117 = sK16(sK2,vd1329)
| ~ spl119_82 ),
inference(avatar_component_clause,[],[f2636]) ).
fof(f2649,plain,
( spl119_83
| ~ spl119_7
| ~ spl119_30
| ~ spl119_81 ),
inference(avatar_split_clause,[],[f2644,f2631,f2061,f1934,f2646]) ).
fof(f2631,plain,
( spl119_81
<=> sF118 = sK16(vd1289,vd1303) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_81])]) ).
fof(f2644,plain,
( rreal(sF118)
| ~ spl119_7
| ~ spl119_30
| ~ spl119_81 ),
inference(subsumption_resolution,[],[f2643,f1936]) ).
fof(f2643,plain,
( rreal(sF118)
| ~ rpoint(vd1303)
| ~ spl119_30
| ~ spl119_81 ),
inference(subsumption_resolution,[],[f2642,f2063]) ).
fof(f2642,plain,
( rreal(sF118)
| ~ rpoint(vd1289)
| ~ rpoint(vd1303)
| ~ spl119_81 ),
inference(superposition,[],[f1055,f2633]) ).
fof(f2633,plain,
( sF118 = sK16(vd1289,vd1303)
| ~ spl119_81 ),
inference(avatar_component_clause,[],[f2631]) ).
fof(f2641,plain,
( spl119_82
| ~ spl119_6
| ~ spl119_9
| ~ spl119_55 ),
inference(avatar_split_clause,[],[f2623,f2202,f1944,f1929,f2636]) ).
fof(f2623,plain,
( sF117 = sK16(sK2,vd1329)
| ~ spl119_6
| ~ spl119_9
| ~ spl119_55 ),
inference(subsumption_resolution,[],[f2622,f1931]) ).
fof(f2622,plain,
( sF117 = sK16(sK2,vd1329)
| ~ rpoint(vd1329)
| ~ spl119_9
| ~ spl119_55 ),
inference(subsumption_resolution,[],[f2593,f1946]) ).
fof(f2593,plain,
( sF117 = sK16(sK2,vd1329)
| ~ rpoint(sK2)
| ~ rpoint(vd1329)
| ~ spl119_55 ),
inference(superposition,[],[f2204,f1057]) ).
fof(f2640,plain,
( spl119_81
| ~ spl119_7
| ~ spl119_30
| ~ spl119_56 ),
inference(avatar_split_clause,[],[f2613,f2207,f2061,f1934,f2631]) ).
fof(f2613,plain,
( sF118 = sK16(vd1289,vd1303)
| ~ spl119_7
| ~ spl119_30
| ~ spl119_56 ),
inference(subsumption_resolution,[],[f2612,f1936]) ).
fof(f2612,plain,
( sF118 = sK16(vd1289,vd1303)
| ~ rpoint(vd1303)
| ~ spl119_30
| ~ spl119_56 ),
inference(subsumption_resolution,[],[f2588,f2063]) ).
fof(f2588,plain,
( sF118 = sK16(vd1289,vd1303)
| ~ rpoint(vd1289)
| ~ rpoint(vd1303)
| ~ spl119_56 ),
inference(superposition,[],[f2209,f1057]) ).
fof(f2380,plain,
( spl119_68
| ~ spl119_31 ),
inference(avatar_split_clause,[],[f2218,f2066,f2377]) ).
fof(f2066,plain,
( spl119_31
<=> vd1288 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_31])]) ).
fof(f2218,plain,
( vf(vd1287,vd1289) = vf(vd1287,sK2)
| ~ spl119_31 ),
inference(forward_demodulation,[],[f711,f2068]) ).
fof(f2068,plain,
( vd1288 = sK2
| ~ spl119_31 ),
inference(avatar_component_clause,[],[f2066]) ).
fof(f711,plain,
vf(vd1287,vd1288) = vf(vd1287,vd1289),
inference(cnf_transformation,[],[f548]) ).
fof(f548,plain,
( rpoint(sK1)
& vd1287 = sK1
& rpoint(sK2)
& vd1288 = sK2
& rpoint(sK3)
& vd1289 = sK3
& vd1288 != vd1287
& vd1289 != vd1287
& vd1288 != vd1289
& vf(vd1287,vd1288) = vf(vd1287,vd1289) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f187,f547,f546,f545]) ).
fof(f545,plain,
( ? [X0] :
( rpoint(X0)
& vd1287 = X0 )
=> ( rpoint(sK1)
& vd1287 = sK1 ) ),
introduced(choice_axiom,[]) ).
fof(f546,plain,
( ? [X1] :
( rpoint(X1)
& vd1288 = X1 )
=> ( rpoint(sK2)
& vd1288 = sK2 ) ),
introduced(choice_axiom,[]) ).
fof(f547,plain,
( ? [X2] :
( rpoint(X2)
& vd1289 = X2 )
=> ( rpoint(sK3)
& vd1289 = sK3 ) ),
introduced(choice_axiom,[]) ).
fof(f187,plain,
( ? [X0] :
( rpoint(X0)
& vd1287 = X0 )
& ? [X1] :
( rpoint(X1)
& vd1288 = X1 )
& ? [X2] :
( rpoint(X2)
& vd1289 = X2 )
& vd1288 != vd1287
& vd1289 != vd1287
& vd1288 != vd1289
& vf(vd1287,vd1288) = vf(vd1287,vd1289) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
( ? [X29] :
( rpoint(X29)
& vd1287 = X29 )
& ? [X28] :
( rpoint(X28)
& vd1288 = X28 )
& ? [X27] :
( rpoint(X27)
& vd1289 = X27 )
& vd1288 != vd1287
& vd1289 != vd1287
& vd1288 != vd1289
& vf(vd1287,vd1288) = vf(vd1287,vd1289) ),
file('/export/starexec/sandbox/tmp/tmp.fZcr8Q7okY/Vampire---4.8_19255','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,f2043,f2372]) ).
fof(f2043,plain,
( spl119_27
<=> vd1302 = vd1303 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_27])]) ).
fof(f2217,plain,
( vf(vd1287,vd1329) = vf(vd1287,vd1303)
| ~ spl119_27 ),
inference(forward_demodulation,[],[f701,f2045]) ).
fof(f2045,plain,
( vd1302 = vd1303
| ~ spl119_27 ),
inference(avatar_component_clause,[],[f2043]) ).
fof(f701,plain,
vf(vd1287,vd1302) = vf(vd1287,vd1329),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
vf(vd1287,vd1302) = vf(vd1287,vd1329),
file('/export/starexec/sandbox/tmp/tmp.fZcr8Q7okY/Vampire---4.8_19255','holds(conjunct2(367), 1331, 0)') ).
fof(f2210,plain,
( spl119_56
| ~ spl119_27 ),
inference(avatar_split_clause,[],[f2200,f2043,f2207]) ).
fof(f2200,plain,
( sF118 = vf(vd1289,vd1303)
| ~ spl119_27 ),
inference(forward_demodulation,[],[f1895,f2045]) ).
fof(f1895,plain,
vf(vd1289,vd1302) = sF118,
introduced(function_definition,[]) ).
fof(f2205,plain,
( spl119_55
| ~ spl119_31 ),
inference(avatar_split_clause,[],[f2199,f2066,f2202]) ).
fof(f2199,plain,
( sF117 = vf(sK2,vd1329)
| ~ spl119_31 ),
inference(forward_demodulation,[],[f1894,f2068]) ).
fof(f1894,plain,
vf(vd1288,vd1329) = sF117,
introduced(function_definition,[]) ).
fof(f2193,plain,
( spl119_53
| ~ spl119_27 ),
inference(avatar_split_clause,[],[f2171,f2043,f2190]) ).
fof(f2171,plain,
( rR(vd1289,vd1287,vd1303)
| ~ spl119_27 ),
inference(forward_demodulation,[],[f708,f2045]) ).
fof(f708,plain,
rR(vd1289,vd1287,vd1302),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
( rR(vd1288,vd1287,vd1299)
& rpoint(vd1303)
& rR(vd1289,vd1287,vd1302)
& vd1302 = vd1303 ),
file('/export/starexec/sandbox/tmp/tmp.fZcr8Q7okY/Vampire---4.8_19255','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))') ).
fof(f2178,plain,
( ~ spl119_50
| ~ spl119_31 ),
inference(avatar_split_clause,[],[f2168,f2066,f2175]) ).
fof(f2168,plain,
( ~ rR(vd1287,sK2,vd1329)
| ~ spl119_31 ),
inference(forward_demodulation,[],[f695,f2068]) ).
fof(f695,plain,
~ rR(vd1287,vd1288,vd1329),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
~ rR(vd1287,vd1288,vd1329),
file('/export/starexec/sandbox/tmp/tmp.fZcr8Q7okY/Vampire---4.8_19255','neg(neg(conjunct2(372)))') ).
fof(f2167,plain,
( ~ spl119_49
| spl119_14
| ~ spl119_31 ),
inference(avatar_split_clause,[],[f2132,f2066,f1970,f2164]) ).
fof(f1970,plain,
( spl119_14
<=> vd1288 = vd1287 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_14])]) ).
fof(f2132,plain,
( vd1287 != sK2
| spl119_14
| ~ spl119_31 ),
inference(backward_demodulation,[],[f1972,f2068]) ).
fof(f1972,plain,
( vd1288 != vd1287
| spl119_14 ),
inference(avatar_component_clause,[],[f1970]) ).
fof(f2162,plain,
( spl119_48
| ~ spl119_21
| ~ spl119_31 ),
inference(avatar_split_clause,[],[f2131,f2066,f2008,f2159]) ).
fof(f2008,plain,
( spl119_21
<=> ron(vd1288,vd1295) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_21])]) ).
fof(f2131,plain,
( ron(sK2,vd1295)
| ~ spl119_21
| ~ spl119_31 ),
inference(backward_demodulation,[],[f2010,f2068]) ).
fof(f2010,plain,
( ron(vd1288,vd1295)
| ~ spl119_21 ),
inference(avatar_component_clause,[],[f2008]) ).
fof(f2080,plain,
( spl119_33
| ~ spl119_10 ),
inference(avatar_split_clause,[],[f2070,f1949,f2077]) ).
fof(f1949,plain,
( spl119_10
<=> rpoint(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_10])]) ).
fof(f2070,plain,
( rpoint(vd1287)
| ~ spl119_10 ),
inference(backward_demodulation,[],[f1951,f719]) ).
fof(f719,plain,
vd1287 = sK1,
inference(cnf_transformation,[],[f548]) ).
fof(f1951,plain,
( rpoint(sK1)
| ~ spl119_10 ),
inference(avatar_component_clause,[],[f1949]) ).
fof(f2069,plain,
spl119_31,
inference(avatar_split_clause,[],[f717,f2066]) ).
fof(f717,plain,
vd1288 = sK2,
inference(cnf_transformation,[],[f548]) ).
fof(f2064,plain,
( spl119_30
| ~ spl119_8 ),
inference(avatar_split_clause,[],[f2054,f1939,f2061]) ).
fof(f1939,plain,
( spl119_8
<=> rpoint(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_8])]) ).
fof(f2054,plain,
( rpoint(vd1289)
| ~ spl119_8 ),
inference(backward_demodulation,[],[f1941,f715]) ).
fof(f715,plain,
vd1289 = sK3,
inference(cnf_transformation,[],[f548]) ).
fof(f1941,plain,
( rpoint(sK3)
| ~ spl119_8 ),
inference(avatar_component_clause,[],[f1939]) ).
fof(f2053,plain,
~ spl119_14,
inference(avatar_split_clause,[],[f714,f1970]) ).
fof(f714,plain,
vd1288 != vd1287,
inference(cnf_transformation,[],[f548]) ).
fof(f2046,plain,
spl119_27,
inference(avatar_split_clause,[],[f707,f2043]) ).
fof(f707,plain,
vd1302 = vd1303,
inference(cnf_transformation,[],[f19]) ).
fof(f2041,plain,
spl119_26,
inference(avatar_split_clause,[],[f694,f2037]) ).
fof(f694,plain,
ron(vd1287,vd1295),
inference(cnf_transformation,[],[f91]) ).
fof(f91,axiom,
ron(vd1287,vd1295),
file('/export/starexec/sandbox/tmp/tmp.fZcr8Q7okY/Vampire---4.8_19255','pred(s1(plural(369)), 0)') ).
fof(f2012,plain,
spl119_21,
inference(avatar_split_clause,[],[f685,f2008]) ).
fof(f685,plain,
ron(vd1288,vd1295),
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
ron(vd1288,vd1295),
file('/export/starexec/sandbox/tmp/tmp.fZcr8Q7okY/Vampire---4.8_19255','pred(s2(plural(346)), 0)') ).
fof(f2006,plain,
spl119_20,
inference(avatar_split_clause,[],[f683,f2002]) ).
fof(f683,plain,
ron(vd1329,vd1295),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
ron(vd1329,vd1295),
file('/export/starexec/sandbox/tmp/tmp.fZcr8Q7okY/Vampire---4.8_19255','pred(s2(plural(370)), 0)') ).
fof(f1995,plain,
( spl119_18
| ~ spl119_1 ),
inference(avatar_split_clause,[],[f1985,f1904,f1992]) ).
fof(f1904,plain,
( spl119_1
<=> rreal(vd684) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_1])]) ).
fof(f1985,plain,
( rreal(v0)
| ~ spl119_1 ),
inference(backward_demodulation,[],[f1906,f680]) ).
fof(f680,plain,
v0 = vd684,
inference(cnf_transformation,[],[f115]) ).
fof(f115,axiom,
v0 = vd684,
file('/export/starexec/sandbox/tmp/tmp.fZcr8Q7okY/Vampire---4.8_19255','pred(axiom(137), 2)') ).
fof(f1906,plain,
( rreal(vd684)
| ~ spl119_1 ),
inference(avatar_component_clause,[],[f1904]) ).
fof(f1968,plain,
~ spl119_13,
inference(avatar_split_clause,[],[f675,f1964]) ).
fof(f675,plain,
vd1329 != vd1287,
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
vd1329 != vd1287,
file('/export/starexec/sandbox/tmp/tmp.fZcr8Q7okY/Vampire---4.8_19255','holds(conjunct2(conjunct2(conjunct2(371))), 1332, 0)') ).
fof(f1957,plain,
~ spl119_11,
inference(avatar_split_clause,[],[f1896,f1954]) ).
fof(f1896,plain,
sF117 != sF118,
inference(definition_folding,[],[f666,f1895,f1894]) ).
fof(f666,plain,
vf(vd1288,vd1329) != vf(vd1289,vd1302),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
vf(vd1288,vd1329) != vf(vd1289,vd1302),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
vf(vd1288,vd1329) != vf(vd1289,vd1302),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
vf(vd1288,vd1329) = vf(vd1289,vd1302),
file('/export/starexec/sandbox/tmp/tmp.fZcr8Q7okY/Vampire---4.8_19255','holds(377, 1347, 0)') ).
fof(f1952,plain,
spl119_10,
inference(avatar_split_clause,[],[f720,f1949]) ).
fof(f720,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f548]) ).
fof(f1947,plain,
spl119_9,
inference(avatar_split_clause,[],[f718,f1944]) ).
fof(f718,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f548]) ).
fof(f1942,plain,
spl119_8,
inference(avatar_split_clause,[],[f716,f1939]) ).
fof(f716,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f548]) ).
fof(f1937,plain,
spl119_7,
inference(avatar_split_clause,[],[f709,f1934]) ).
fof(f709,plain,
rpoint(vd1303),
inference(cnf_transformation,[],[f19]) ).
fof(f1932,plain,
spl119_6,
inference(avatar_split_clause,[],[f672,f1929]) ).
fof(f672,plain,
rpoint(vd1329),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
rpoint(vd1329),
file('/export/starexec/sandbox/tmp/tmp.fZcr8Q7okY/Vampire---4.8_19255','pred(367, 0)') ).
fof(f1917,plain,
spl119_3,
inference(avatar_split_clause,[],[f669,f1914]) ).
fof(f669,plain,
rline(vd1295),
inference(cnf_transformation,[],[f82]) ).
fof(f82,axiom,
rline(vd1295),
file('/export/starexec/sandbox/tmp/tmp.fZcr8Q7okY/Vampire---4.8_19255','pred(346, 0)') ).
fof(f1907,plain,
spl119_1,
inference(avatar_split_clause,[],[f667,f1904]) ).
fof(f667,plain,
rreal(vd684),
inference(cnf_transformation,[],[f116]) ).
fof(f116,axiom,
rreal(vd684),
file('/export/starexec/sandbox/tmp/tmp.fZcr8Q7okY/Vampire---4.8_19255','pred(axiom(137), 1)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : GEO326+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.38 % Computer : n008.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Tue Aug 29 19:21:32 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.16/0.38 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.38 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.fZcr8Q7okY/Vampire---4.8_19255
% 0.16/0.38 % (19363)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46 % (19366)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)
% 0.23/0.46 % (19367)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)
% 0.23/0.46 % (19370)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)
% 0.23/0.46 % (19365)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)
% 0.23/0.46 % (19364)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)
% 0.23/0.47 % (19368)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)
% 0.23/0.48 % (19369)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)
% 0.23/0.50 % (19366)Refutation not found, incomplete strategy% (19366)------------------------------
% 0.23/0.50 % (19366)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.50 % (19366)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.50 % (19366)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.50
% 0.23/0.50 % (19366)Memory used [KB]: 12920
% 0.23/0.50 % (19366)Time elapsed: 0.050 s
% 0.23/0.50 % (19366)------------------------------
% 0.23/0.50 % (19366)------------------------------
% 0.23/0.55 % (19371)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)
% 6.62/1.50 % (19371)First to succeed.
% 6.62/1.50 % (19371)Refutation found. Thanks to Tanya!
% 6.62/1.50 % SZS status Theorem for Vampire---4
% 6.62/1.50 % SZS output start Proof for Vampire---4
% See solution above
% 6.62/1.51 % (19371)------------------------------
% 6.62/1.51 % (19371)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 6.62/1.51 % (19371)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 6.62/1.51 % (19371)Termination reason: Refutation
% 6.62/1.51
% 6.62/1.51 % (19371)Memory used [KB]: 29551
% 6.62/1.51 % (19371)Time elapsed: 0.952 s
% 6.62/1.51 % (19371)------------------------------
% 6.62/1.51 % (19371)------------------------------
% 6.62/1.51 % (19363)Success in time 1.107 s
% 6.62/1.51 % Vampire---4.8 exiting
%------------------------------------------------------------------------------