TSTP Solution File: GEO313+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO313+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 : n009.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 23:33:44 EDT 2023
% Result : Timeout 291.89s 42.24s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 103
% Syntax : Number of formulae : 560 ( 59 unt; 0 def)
% Number of atoms : 2526 ( 648 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 3562 (1596 ~;1618 |; 239 &)
% ( 68 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 71 ( 69 usr; 61 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 16 con; 0-2 aty)
% Number of variables : 747 (; 675 !; 72 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f30466,plain,
$false,
inference(avatar_sat_refutation,[],[f1812,f1822,f1832,f1837,f1847,f1852,f1857,f1862,f1878,f1894,f1899,f1916,f1928,f1940,f1957,f1969,f1974,f1985,f2065,f2089,f2096,f2101,f2266,f2276,f2462,f2479,f2480,f2488,f2496,f2561,f2575,f2582,f2583,f2684,f2701,f2704,f2716,f2727,f2730,f2798,f2806,f3117,f3285,f3324,f6046,f6056,f6719,f7598,f7599,f11996,f12014,f12638,f12808,f12813,f25963,f25984,f29287,f29651,f30169,f30403,f30464]) ).
fof(f30464,plain,
( vd1289 != vd1306
| sK16(vd1287,vd1289) != sK16(vd1287,sK2)
| vf(vd1287,sK2) != sK16(vd1287,vd1289)
| vf(vd1287,vd1289) != vf(vd1287,sK2)
| sK16(vd1287,vd1306) != sK16(vd1287,vd1300)
| vf(vd1287,vd1306) != vf(vd1287,vd1300)
| vf(vd1287,vd1300) != sK16(vd1287,vd1306)
| sK16(vd1287,vd1300) = sK16(vd1287,sK2) ),
introduced(theory_tautology_sat_conflict,[]) ).
fof(f30403,plain,
( spl119_11
| ~ spl119_80
| ~ spl119_81
| ~ spl119_112
| ~ spl119_220
| ~ spl119_229 ),
inference(avatar_contradiction_clause,[],[f30402]) ).
fof(f30402,plain,
( $false
| spl119_11
| ~ spl119_80
| ~ spl119_81
| ~ spl119_112
| ~ spl119_220
| ~ spl119_229 ),
inference(subsumption_resolution,[],[f30401,f1861]) ).
fof(f1861,plain,
( sF117 != sF118
| spl119_11 ),
inference(avatar_component_clause,[],[f1859]) ).
fof(f1859,plain,
( spl119_11
<=> sF117 = sF118 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_11])]) ).
fof(f30401,plain,
( sF117 = sF118
| ~ spl119_80
| ~ spl119_81
| ~ spl119_112
| ~ spl119_220
| ~ spl119_229 ),
inference(subsumption_resolution,[],[f30393,f2487]) ).
fof(f2487,plain,
( rreal(sF118)
| ~ spl119_80 ),
inference(avatar_component_clause,[],[f2485]) ).
fof(f2485,plain,
( spl119_80
<=> rreal(sF118) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_80])]) ).
fof(f30393,plain,
( ~ rreal(sF118)
| sF117 = sF118
| ~ spl119_81
| ~ spl119_112
| ~ spl119_220
| ~ spl119_229 ),
inference(trivial_inequality_removal,[],[f30340]) ).
fof(f30340,plain,
( sK16(vd1287,vd1300) != sK16(vd1287,vd1300)
| ~ rreal(sF118)
| sF117 = sF118
| ~ spl119_81
| ~ spl119_112
| ~ spl119_220
| ~ spl119_229 ),
inference(superposition,[],[f12761,f11995]) ).
fof(f11995,plain,
( sK16(vd1287,vd1300) = vplus(sK16(vd1287,sK2),sF118)
| ~ spl119_220 ),
inference(avatar_component_clause,[],[f11993]) ).
fof(f11993,plain,
( spl119_220
<=> sK16(vd1287,vd1300) = vplus(sK16(vd1287,sK2),sF118) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_220])]) ).
fof(f12761,plain,
( ! [X22] :
( sK16(vd1287,vd1300) != vplus(sK16(vd1287,sK2),X22)
| ~ rreal(X22)
| sF117 = X22 )
| ~ spl119_81
| ~ spl119_112
| ~ spl119_229 ),
inference(subsumption_resolution,[],[f12760,f2805]) ).
fof(f2805,plain,
( rreal(sK16(vd1287,sK2))
| ~ spl119_112 ),
inference(avatar_component_clause,[],[f2803]) ).
fof(f2803,plain,
( spl119_112
<=> rreal(sK16(vd1287,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_112])]) ).
fof(f12760,plain,
( ! [X22] :
( sK16(vd1287,vd1300) != vplus(sK16(vd1287,sK2),X22)
| ~ rreal(X22)
| ~ rreal(sK16(vd1287,sK2))
| sF117 = X22 )
| ~ spl119_81
| ~ spl119_229 ),
inference(subsumption_resolution,[],[f12678,f2495]) ).
fof(f2495,plain,
( rreal(sF117)
| ~ spl119_81 ),
inference(avatar_component_clause,[],[f2493]) ).
fof(f2493,plain,
( spl119_81
<=> rreal(sF117) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_81])]) ).
fof(f12678,plain,
( ! [X22] :
( sK16(vd1287,vd1300) != vplus(sK16(vd1287,sK2),X22)
| ~ rreal(X22)
| ~ rreal(sF117)
| ~ rreal(sK16(vd1287,sK2))
| sF117 = X22 )
| ~ spl119_229 ),
inference(superposition,[],[f4265,f12637]) ).
fof(f12637,plain,
( sK16(vd1287,vd1300) = vplus(sK16(vd1287,sK2),sF117)
| ~ spl119_229 ),
inference(avatar_component_clause,[],[f12635]) ).
fof(f12635,plain,
( spl119_229
<=> sK16(vd1287,vd1300) = vplus(sK16(vd1287,sK2),sF117) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_229])]) ).
fof(f4265,plain,
! [X6,X7,X5] :
( vplus(X6,X7) != vplus(X6,X5)
| ~ rreal(X5)
| ~ rreal(X7)
| ~ rreal(X6)
| X5 = X7 ),
inference(duplicate_literal_removal,[],[f4260]) ).
fof(f4260,plain,
! [X6,X7,X5] :
( vplus(X6,X7) != vplus(X6,X5)
| ~ rreal(X5)
| ~ rreal(X7)
| ~ rreal(X6)
| X5 = X7
| ~ rreal(X5)
| ~ rreal(X6) ),
inference(superposition,[],[f3661,f1032]) ).
fof(f1032,plain,
! [X3,X1] :
( vplus(X1,X3) = vplus(X3,X1)
| ~ rreal(X1)
| ~ rreal(X3) ),
inference(equality_resolution,[],[f1031]) ).
fof(f1031,plain,
! [X2,X3,X1] :
( vplus(X1,X2) = vplus(X2,X1)
| ~ rreal(X1)
| ~ rreal(X3)
| X2 != X3 ),
inference(equality_resolution,[],[f722]) ).
fof(f722,plain,
! [X2,X3,X0,X1] :
( vplus(X0,X2) = vplus(X2,X0)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(cnf_transformation,[],[f328]) ).
fof(f328,plain,
! [X0,X1,X2,X3] :
( vplus(X0,X2) = vplus(X2,X0)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(flattening,[],[f327]) ).
fof(f327,plain,
! [X0,X1,X2,X3] :
( vplus(X0,X2) = vplus(X2,X0)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(ennf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0,X1,X2,X3] :
( ( rreal(X1)
& X0 = X1
& rreal(X3)
& X2 = X3 )
=> vplus(X0,X2) = vplus(X2,X0) ),
inference(rectify,[],[f70]) ).
fof(f70,axiom,
! [X167,X168,X169,X170] :
( ( rreal(X168)
& X167 = X168
& rreal(X170)
& X169 = X170 )
=> vplus(X167,X169) = vplus(X169,X167) ),
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))') ).
fof(f3661,plain,
! [X6,X7,X5] :
( vplus(X6,X5) != vplus(X7,X6)
| ~ rreal(X7)
| ~ rreal(X5)
| ~ rreal(X6)
| X5 = X7 ),
inference(duplicate_literal_removal,[],[f3656]) ).
fof(f3656,plain,
! [X6,X7,X5] :
( vplus(X6,X5) != vplus(X7,X6)
| ~ rreal(X7)
| ~ rreal(X5)
| ~ rreal(X6)
| X5 = X7
| ~ rreal(X5)
| ~ rreal(X6) ),
inference(superposition,[],[f1384,f1032]) ).
fof(f1384,plain,
! [X3,X1,X5] :
( vplus(X1,X5) != vplus(X3,X5)
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| X1 = X3 ),
inference(equality_resolution,[],[f1383]) ).
fof(f1383,plain,
! [X3,X1,X4,X5] :
( X1 = X3
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| X4 != X5
| vplus(X1,X4) != vplus(X3,X4) ),
inference(equality_resolution,[],[f1382]) ).
fof(f1382,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,[],[f832]) ).
fof(f832,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,[],[f436]) ).
fof(f436,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,[],[f435]) ).
fof(f435,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,[],[f244]) ).
fof(f244,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,[],[f69]) ).
fof(f69,axiom,
! [X161,X162,X163,X164,X165,X166] :
( ( rreal(X162)
& X161 = X162
& rreal(X164)
& X163 = X164
& rreal(X166)
& X165 = X166
& vplus(X161,X165) = vplus(X163,X165) )
=> X161 = X163 ),
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','ass(cond(156, 0), 0)') ).
fof(f30169,plain,
( ~ spl119_30
| ~ spl119_33
| ~ spl119_103
| ~ spl119_233
| spl119_357 ),
inference(avatar_contradiction_clause,[],[f30168]) ).
fof(f30168,plain,
( $false
| ~ spl119_30
| ~ spl119_33
| ~ spl119_103
| ~ spl119_233
| spl119_357 ),
inference(subsumption_resolution,[],[f30167,f12807]) ).
fof(f12807,plain,
( rless(sK16(vd1287,sK2),sK16(vd1287,vd1300))
| ~ spl119_233 ),
inference(avatar_component_clause,[],[f12805]) ).
fof(f12805,plain,
( spl119_233
<=> rless(sK16(vd1287,sK2),sK16(vd1287,vd1300)) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_233])]) ).
fof(f30167,plain,
( ~ rless(sK16(vd1287,sK2),sK16(vd1287,vd1300))
| ~ spl119_30
| ~ spl119_33
| ~ spl119_103
| spl119_357 ),
inference(forward_demodulation,[],[f30166,f2715]) ).
fof(f2715,plain,
( vf(vd1287,vd1289) = sK16(vd1287,sK2)
| ~ spl119_103 ),
inference(avatar_component_clause,[],[f2713]) ).
fof(f2713,plain,
( spl119_103
<=> vf(vd1287,vd1289) = sK16(vd1287,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_103])]) ).
fof(f30166,plain,
( ~ rless(vf(vd1287,vd1289),sK16(vd1287,vd1300))
| ~ spl119_30
| ~ spl119_33
| spl119_357 ),
inference(subsumption_resolution,[],[f30165,f1968]) ).
fof(f1968,plain,
( rpoint(vd1289)
| ~ spl119_30 ),
inference(avatar_component_clause,[],[f1966]) ).
fof(f1966,plain,
( spl119_30
<=> rpoint(vd1289) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_30])]) ).
fof(f30165,plain,
( ~ rless(vf(vd1287,vd1289),sK16(vd1287,vd1300))
| ~ rpoint(vd1289)
| ~ spl119_33
| spl119_357 ),
inference(subsumption_resolution,[],[f30137,f1984]) ).
fof(f1984,plain,
( rpoint(vd1287)
| ~ spl119_33 ),
inference(avatar_component_clause,[],[f1982]) ).
fof(f1982,plain,
( spl119_33
<=> rpoint(vd1287) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_33])]) ).
fof(f30137,plain,
( ~ rless(vf(vd1287,vd1289),sK16(vd1287,vd1300))
| ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| spl119_357 ),
inference(superposition,[],[f29650,f949]) ).
fof(f949,plain,
! [X2,X3] :
( vf(X3,X2) = vf(X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f948]) ).
fof(f948,plain,
! [X2,X3,X1] :
( vf(X1,X2) = vf(X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| X1 != X3 ),
inference(equality_resolution,[],[f693]) ).
fof(f693,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f300]) ).
fof(f300,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f299]) ).
fof(f299,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> vf(X0,X1) = vf(X1,X0) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3,X4] :
( ( ? [X6] :
( rpoint(X6)
& X3 = X6 )
& ? [X5] :
( rpoint(X5)
& X4 = X5 ) )
=> vf(X3,X4) = vf(X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof(f29650,plain,
( ~ rless(vf(vd1289,vd1287),sK16(vd1287,vd1300))
| spl119_357 ),
inference(avatar_component_clause,[],[f29648]) ).
fof(f29648,plain,
( spl119_357
<=> rless(vf(vd1289,vd1287),sK16(vd1287,vd1300)) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_357])]) ).
fof(f29651,plain,
( ~ spl119_357
| ~ spl119_1
| ~ spl119_17
| ~ spl119_80
| ~ spl119_111
| ~ spl119_147
| ~ spl119_344 ),
inference(avatar_split_clause,[],[f29372,f29284,f6043,f2795,f2485,f1891,f1809,f29648]) ).
fof(f1809,plain,
( spl119_1
<=> rreal(vd684) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_1])]) ).
fof(f1891,plain,
( spl119_17
<=> v0 = vd684 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_17])]) ).
fof(f2795,plain,
( spl119_111
<=> rreal(sK16(vd1287,vd1300)) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_111])]) ).
fof(f6043,plain,
( spl119_147
<=> rless(vd684,sF118) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_147])]) ).
fof(f29284,plain,
( spl119_344
<=> vf(vd1289,vd1287) = vplus(sF118,sK16(vd1287,vd1300)) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_344])]) ).
fof(f29372,plain,
( ~ rless(vf(vd1289,vd1287),sK16(vd1287,vd1300))
| ~ spl119_1
| ~ spl119_17
| ~ spl119_80
| ~ spl119_111
| ~ spl119_147
| ~ spl119_344 ),
inference(subsumption_resolution,[],[f29371,f2487]) ).
fof(f29371,plain,
( ~ rless(vf(vd1289,vd1287),sK16(vd1287,vd1300))
| ~ rreal(sF118)
| ~ spl119_1
| ~ spl119_17
| ~ spl119_111
| ~ spl119_147
| ~ spl119_344 ),
inference(subsumption_resolution,[],[f29370,f6045]) ).
fof(f6045,plain,
( rless(vd684,sF118)
| ~ spl119_147 ),
inference(avatar_component_clause,[],[f6043]) ).
fof(f29370,plain,
( ~ rless(vf(vd1289,vd1287),sK16(vd1287,vd1300))
| ~ rless(vd684,sF118)
| ~ rreal(sF118)
| ~ spl119_1
| ~ spl119_17
| ~ spl119_111
| ~ spl119_344 ),
inference(subsumption_resolution,[],[f29305,f2797]) ).
fof(f2797,plain,
( rreal(sK16(vd1287,vd1300))
| ~ spl119_111 ),
inference(avatar_component_clause,[],[f2795]) ).
fof(f29305,plain,
( ~ rless(vf(vd1289,vd1287),sK16(vd1287,vd1300))
| ~ rreal(sK16(vd1287,vd1300))
| ~ rless(vd684,sF118)
| ~ rreal(sF118)
| ~ spl119_1
| ~ spl119_17
| ~ spl119_344 ),
inference(superposition,[],[f3718,f29286]) ).
fof(f29286,plain,
( vf(vd1289,vd1287) = vplus(sF118,sK16(vd1287,vd1300))
| ~ spl119_344 ),
inference(avatar_component_clause,[],[f29284]) ).
fof(f3718,plain,
( ! [X2,X1] :
( ~ rless(vplus(X1,X2),X2)
| ~ rreal(X2)
| ~ rless(vd684,X1)
| ~ rreal(X1) )
| ~ spl119_1
| ~ spl119_17 ),
inference(subsumption_resolution,[],[f3715,f2590]) ).
fof(f2590,plain,
! [X0,X1] :
( rreal(vplus(X0,X1))
| ~ rreal(X0)
| ~ rreal(X1) ),
inference(duplicate_literal_removal,[],[f2589]) ).
fof(f2589,plain,
! [X0,X1] :
( rreal(vplus(X0,X1))
| ~ rreal(X0)
| ~ rreal(X1)
| ~ rreal(X0)
| ~ rreal(X1) ),
inference(superposition,[],[f1036,f1038]) ).
fof(f1038,plain,
! [X3,X1] :
( vplus(X1,X3) = sK21(X1,X3)
| ~ rreal(X1)
| ~ rreal(X3) ),
inference(equality_resolution,[],[f1037]) ).
fof(f1037,plain,
! [X2,X3,X1] :
( vplus(X1,X2) = sK21(X1,X2)
| ~ rreal(X1)
| ~ rreal(X3)
| X2 != X3 ),
inference(equality_resolution,[],[f724]) ).
fof(f724,plain,
! [X2,X3,X0,X1] :
( vplus(X0,X2) = sK21(X0,X2)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(cnf_transformation,[],[f530]) ).
fof(f530,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])],[f332,f529]) ).
fof(f529,plain,
! [X0,X2] :
( ? [X4] :
( rreal(X4)
& vplus(X0,X2) = X4 )
=> ( rreal(sK21(X0,X2))
& vplus(X0,X2) = sK21(X0,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f332,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rreal(X4)
& vplus(X0,X2) = X4 )
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(flattening,[],[f331]) ).
fof(f331,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rreal(X4)
& vplus(X0,X2) = X4 )
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(ennf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0,X1,X2,X3] :
( ( rreal(X1)
& X0 = X1
& rreal(X3)
& X2 = X3 )
=> ? [X4] :
( rreal(X4)
& vplus(X0,X2) = X4 ) ),
inference(rectify,[],[f87]) ).
fof(f87,axiom,
! [X234,X235,X236,X237] :
( ( rreal(X235)
& X234 = X235
& rreal(X237)
& X236 = X237 )
=> ? [X238] :
( rreal(X238)
& vplus(X234,X236) = X238 ) ),
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','qu(cond(axiom(139), 0), imp(cond(axiom(139), 0)))') ).
fof(f1036,plain,
! [X3,X1] :
( rreal(sK21(X1,X3))
| ~ rreal(X1)
| ~ rreal(X3) ),
inference(equality_resolution,[],[f1035]) ).
fof(f1035,plain,
! [X2,X3,X1] :
( rreal(sK21(X1,X2))
| ~ rreal(X1)
| ~ rreal(X3)
| X2 != X3 ),
inference(equality_resolution,[],[f725]) ).
fof(f725,plain,
! [X2,X3,X0,X1] :
( rreal(sK21(X0,X2))
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(cnf_transformation,[],[f530]) ).
fof(f3715,plain,
( ! [X2,X1] :
( ~ rreal(X1)
| ~ rreal(X2)
| ~ rless(vd684,X1)
| ~ rless(vplus(X1,X2),X2)
| ~ rreal(vplus(X1,X2)) )
| ~ spl119_1
| ~ spl119_17 ),
inference(duplicate_literal_removal,[],[f3701]) ).
fof(f3701,plain,
( ! [X2,X1] :
( ~ rreal(X1)
| ~ rreal(X2)
| ~ rless(vd684,X1)
| ~ rreal(X2)
| ~ rless(vplus(X1,X2),X2)
| ~ rreal(vplus(X1,X2)) )
| ~ spl119_1
| ~ spl119_17 ),
inference(resolution,[],[f3553,f3404]) ).
fof(f3404,plain,
! [X0,X1] :
( ~ rless(X1,X0)
| ~ rreal(X1)
| ~ rless(X0,X1)
| ~ rreal(X0) ),
inference(duplicate_literal_removal,[],[f3401]) ).
fof(f3401,plain,
! [X0,X1] :
( ~ rreal(X0)
| ~ rreal(X1)
| ~ rreal(X0)
| ~ rless(X0,X1)
| ~ rless(X1,X0)
| ~ rreal(X0) ),
inference(resolution,[],[f1342,f926]) ).
fof(f926,plain,
! [X1] :
( ~ rless(X1,X1)
| ~ rreal(X1) ),
inference(equality_resolution,[],[f679]) ).
fof(f679,plain,
! [X0,X1] :
( ~ rless(X0,X0)
| ~ rreal(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f288]) ).
fof(f288,plain,
! [X0,X1] :
( ~ rless(X0,X0)
| ~ rreal(X1)
| X0 != X1 ),
inference(flattening,[],[f287]) ).
fof(f287,plain,
! [X0,X1] :
( ~ rless(X0,X0)
| ~ rreal(X1)
| X0 != X1 ),
inference(ennf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0,X1] :
( ( rreal(X1)
& X0 = X1 )
=> ~ rless(X0,X0) ),
inference(rectify,[],[f61]) ).
fof(f61,axiom,
! [X119,X120] :
( ( rreal(X120)
& X119 = X120 )
=> ~ rless(X119,X119) ),
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))') ).
fof(f1342,plain,
! [X3,X1,X5] :
( rless(X1,X5)
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| ~ rless(X1,X3)
| ~ rless(X3,X5) ),
inference(equality_resolution,[],[f1341]) ).
fof(f1341,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,[],[f1340]) ).
fof(f1340,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,[],[f820]) ).
fof(f820,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,[],[f426]) ).
fof(f426,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,[],[f425]) ).
fof(f425,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,[],[f239]) ).
fof(f239,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,[],[f85]) ).
fof(f85,axiom,
! [X224,X225,X226,X227,X228,X229] :
( ( rreal(X225)
& X224 = X225
& rreal(X227)
& X226 = X227
& rreal(X229)
& X228 = X229
& rless(X224,X226)
& rless(X226,X228) )
=> rless(X224,X228) ),
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','qu(cond(axiom(151), 0), imp(cond(axiom(151), 0)))') ).
fof(f3553,plain,
( ! [X8,X9] :
( rless(X8,vplus(X9,X8))
| ~ rreal(X9)
| ~ rreal(X8)
| ~ rless(vd684,X9) )
| ~ spl119_1
| ~ spl119_17 ),
inference(subsumption_resolution,[],[f3543,f1811]) ).
fof(f1811,plain,
( rreal(vd684)
| ~ spl119_1 ),
inference(avatar_component_clause,[],[f1809]) ).
fof(f3543,plain,
( ! [X8,X9] :
( rless(X8,vplus(X9,X8))
| ~ rreal(vd684)
| ~ rreal(X9)
| ~ rreal(X8)
| ~ rless(vd684,X9) )
| ~ spl119_1
| ~ spl119_17 ),
inference(duplicate_literal_removal,[],[f3534]) ).
fof(f3534,plain,
( ! [X8,X9] :
( rless(X8,vplus(X9,X8))
| ~ rreal(vd684)
| ~ rreal(X9)
| ~ rreal(X8)
| ~ rless(vd684,X9)
| ~ rreal(X8) )
| ~ spl119_1
| ~ spl119_17 ),
inference(superposition,[],[f1339,f2541]) ).
fof(f2541,plain,
( ! [X0] :
( vplus(vd684,X0) = X0
| ~ rreal(X0) )
| ~ spl119_1
| ~ spl119_17 ),
inference(subsumption_resolution,[],[f2540,f1811]) ).
fof(f2540,plain,
( ! [X0] :
( vplus(vd684,X0) = X0
| ~ rreal(X0)
| ~ rreal(vd684) )
| ~ spl119_17 ),
inference(duplicate_literal_removal,[],[f2533]) ).
fof(f2533,plain,
( ! [X0] :
( vplus(vd684,X0) = X0
| ~ rreal(X0)
| ~ rreal(vd684)
| ~ rreal(X0) )
| ~ spl119_17 ),
inference(superposition,[],[f1032,f2110]) ).
fof(f2110,plain,
( ! [X1] :
( vplus(X1,vd684) = X1
| ~ rreal(X1) )
| ~ spl119_17 ),
inference(forward_demodulation,[],[f927,f1893]) ).
fof(f1893,plain,
( v0 = vd684
| ~ spl119_17 ),
inference(avatar_component_clause,[],[f1891]) ).
fof(f927,plain,
! [X1] :
( vplus(X1,v0) = X1
| ~ rreal(X1) ),
inference(equality_resolution,[],[f680]) ).
fof(f680,plain,
! [X0,X1] :
( vplus(X0,v0) = X0
| ~ rreal(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f290]) ).
fof(f290,plain,
! [X0,X1] :
( vplus(X0,v0) = X0
| ~ rreal(X1)
| X0 != X1 ),
inference(flattening,[],[f289]) ).
fof(f289,plain,
! [X0,X1] :
( vplus(X0,v0) = X0
| ~ rreal(X1)
| X0 != X1 ),
inference(ennf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0,X1] :
( ( rreal(X1)
& X0 = X1 )
=> vplus(X0,v0) = X0 ),
inference(rectify,[],[f71]) ).
fof(f71,axiom,
! [X171,X172] :
( ( rreal(X172)
& X171 = X172 )
=> vplus(X171,v0) = X171 ),
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))') ).
fof(f1339,plain,
! [X3,X1,X5] :
( rless(vplus(X1,X5),vplus(X3,X5))
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| ~ rless(X1,X3) ),
inference(equality_resolution,[],[f1338]) ).
fof(f1338,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,[],[f1337]) ).
fof(f1337,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,[],[f819]) ).
fof(f819,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,[],[f424]) ).
fof(f424,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,[],[f423]) ).
fof(f423,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,[],[f238]) ).
fof(f238,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,[],[f84]) ).
fof(f84,axiom,
! [X218,X219,X220,X221,X222,X223] :
( ( rreal(X219)
& X218 = X219
& rreal(X221)
& X220 = X221
& rreal(X223)
& X222 = X223
& rless(X218,X220) )
=> rless(vplus(X218,X222),vplus(X220,X222)) ),
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))') ).
fof(f29287,plain,
( spl119_344
| ~ spl119_6
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| ~ spl119_98
| ~ spl119_308 ),
inference(avatar_split_clause,[],[f29239,f25960,f2676,f2093,f1982,f1966,f1834,f29284]) ).
fof(f1834,plain,
( spl119_6
<=> rpoint(vd1306) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_6])]) ).
fof(f2093,plain,
( spl119_53
<=> vf(vd1289,vd1306) = sF118 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_53])]) ).
fof(f2676,plain,
( spl119_98
<=> sK16(vd1287,vd1306) = sK16(vd1287,vd1300) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_98])]) ).
fof(f25960,plain,
( spl119_308
<=> rR(vd1306,vd1289,vd1287) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_308])]) ).
fof(f29239,plain,
( vf(vd1289,vd1287) = vplus(sF118,sK16(vd1287,vd1300))
| ~ spl119_6
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| ~ spl119_98
| ~ spl119_308 ),
inference(subsumption_resolution,[],[f29238,f25962]) ).
fof(f25962,plain,
( rR(vd1306,vd1289,vd1287)
| ~ spl119_308 ),
inference(avatar_component_clause,[],[f25960]) ).
fof(f29238,plain,
( vf(vd1289,vd1287) = vplus(sF118,sK16(vd1287,vd1300))
| ~ rR(vd1306,vd1289,vd1287)
| ~ spl119_6
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| ~ spl119_98 ),
inference(subsumption_resolution,[],[f29183,f1984]) ).
fof(f29183,plain,
( vf(vd1289,vd1287) = vplus(sF118,sK16(vd1287,vd1300))
| ~ rpoint(vd1287)
| ~ rR(vd1306,vd1289,vd1287)
| ~ spl119_6
| ~ spl119_30
| ~ spl119_53
| ~ spl119_98 ),
inference(superposition,[],[f10857,f2678]) ).
fof(f2678,plain,
( sK16(vd1287,vd1306) = sK16(vd1287,vd1300)
| ~ spl119_98 ),
inference(avatar_component_clause,[],[f2676]) ).
fof(f10857,plain,
( ! [X6] :
( vf(vd1289,X6) = vplus(sF118,sK16(X6,vd1306))
| ~ rpoint(X6)
| ~ rR(vd1306,vd1289,X6) )
| ~ spl119_6
| ~ spl119_30
| ~ spl119_53 ),
inference(subsumption_resolution,[],[f10850,f1836]) ).
fof(f1836,plain,
( rpoint(vd1306)
| ~ spl119_6 ),
inference(avatar_component_clause,[],[f1834]) ).
fof(f10850,plain,
( ! [X6] :
( vf(vd1289,X6) = vplus(sF118,sK16(X6,vd1306))
| ~ rpoint(X6)
| ~ rR(vd1306,vd1289,X6)
| ~ rpoint(vd1306) )
| ~ spl119_6
| ~ spl119_30
| ~ spl119_53 ),
inference(duplicate_literal_removal,[],[f10795]) ).
fof(f10795,plain,
( ! [X6] :
( vf(vd1289,X6) = vplus(sF118,sK16(X6,vd1306))
| ~ rpoint(X6)
| ~ rR(vd1306,vd1289,X6)
| ~ rpoint(vd1306)
| ~ rpoint(X6) )
| ~ spl119_6
| ~ spl119_30
| ~ spl119_53 ),
inference(superposition,[],[f8581,f2426]) ).
fof(f2426,plain,
! [X3,X4] :
( vf(X4,X3) = sK16(X3,X4)
| ~ rpoint(X4)
| ~ rpoint(X3) ),
inference(duplicate_literal_removal,[],[f2417]) ).
fof(f2417,plain,
! [X3,X4] :
( vf(X4,X3) = sK16(X3,X4)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(superposition,[],[f949,f964]) ).
fof(f964,plain,
! [X3,X4] :
( vf(X3,X4) = sK16(X3,X4)
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f963]) ).
fof(f963,plain,
! [X3,X1,X4] :
( sK16(X3,X1) = vf(X3,X1)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4 ),
inference(equality_resolution,[],[f699]) ).
fof(f699,plain,
! [X3,X0,X1,X4] :
( vf(X0,X1) = sK16(X0,X1)
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(cnf_transformation,[],[f516]) ).
fof(f516,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])],[f514,f515]) ).
fof(f515,plain,
! [X0,X1] :
( ? [X2] :
( rreal(X2)
& vf(X0,X1) = X2 )
=> ( rreal(sK16(X0,X1))
& vf(X0,X1) = sK16(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f514,plain,
! [X0,X1] :
( ? [X2] :
( rreal(X2)
& vf(X0,X1) = X2 )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 ) ),
inference(rectify,[],[f306]) ).
fof(f306,plain,
! [X0,X1] :
( ? [X4] :
( rreal(X4)
& vf(X0,X1) = X4 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f305]) ).
fof(f305,plain,
! [X0,X1] :
( ? [X4] :
( rreal(X4)
& vf(X0,X1) = X4 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> ? [X4] :
( rreal(X4)
& vf(X0,X1) = X4 ) ),
inference(rectify,[],[f60]) ).
fof(f60,axiom,
! [X114,X115] :
( ( ? [X117] :
( rpoint(X117)
& X114 = X117 )
& ? [X116] :
( rpoint(X116)
& X115 = X116 ) )
=> ? [X118] :
( rreal(X118)
& vf(X114,X115) = X118 ) ),
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).
fof(f8581,plain,
( ! [X27] :
( vf(vd1289,X27) = vplus(sF118,vf(vd1306,X27))
| ~ rpoint(X27)
| ~ rR(vd1306,vd1289,X27) )
| ~ spl119_6
| ~ spl119_30
| ~ spl119_53 ),
inference(subsumption_resolution,[],[f8580,f1836]) ).
fof(f8580,plain,
( ! [X27] :
( vf(vd1289,X27) = vplus(sF118,vf(vd1306,X27))
| ~ rpoint(vd1306)
| ~ rpoint(X27)
| ~ rR(vd1306,vd1289,X27) )
| ~ spl119_30
| ~ spl119_53 ),
inference(subsumption_resolution,[],[f8447,f1968]) ).
fof(f8447,plain,
( ! [X27] :
( vf(vd1289,X27) = vplus(sF118,vf(vd1306,X27))
| ~ rpoint(vd1289)
| ~ rpoint(vd1306)
| ~ rpoint(X27)
| ~ rR(vd1306,vd1289,X27) )
| ~ spl119_53 ),
inference(superposition,[],[f970,f2095]) ).
fof(f2095,plain,
( vf(vd1289,vd1306) = sF118
| ~ spl119_53 ),
inference(avatar_component_clause,[],[f2093]) ).
fof(f970,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,[],[f969]) ).
fof(f969,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,[],[f968]) ).
fof(f968,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,[],[f702]) ).
fof(f702,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,[],[f310]) ).
fof(f310,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,[],[f309]) ).
fof(f309,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,[],[f178]) ).
fof(f178,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,[],[f79]) ).
fof(f79,axiom,
! [X191,X192,X193] :
( ( ? [X196] :
( rpoint(X196)
& X191 = X196 )
& ? [X195] :
( rpoint(X195)
& X192 = X195 )
& ? [X194] :
( rpoint(X194)
& X193 = X194 )
& rR(X192,X191,X193) )
=> vplus(vf(X191,X192),vf(X192,X193)) = vf(X191,X193) ),
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))') ).
fof(f25984,plain,
( ~ spl119_3
| ~ spl119_21
| ~ spl119_23
| ~ spl119_25
| ~ spl119_307 ),
inference(avatar_contradiction_clause,[],[f25983]) ).
fof(f25983,plain,
( $false
| ~ spl119_3
| ~ spl119_21
| ~ spl119_23
| ~ spl119_25
| ~ spl119_307 ),
inference(subsumption_resolution,[],[f25982,f1926]) ).
fof(f1926,plain,
( ron(vd1289,vd1297)
| ~ spl119_23 ),
inference(avatar_component_clause,[],[f1924]) ).
fof(f1924,plain,
( spl119_23
<=> ron(vd1289,vd1297) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_23])]) ).
fof(f25982,plain,
( ~ ron(vd1289,vd1297)
| ~ spl119_3
| ~ spl119_21
| ~ spl119_25
| ~ spl119_307 ),
inference(subsumption_resolution,[],[f25981,f1914]) ).
fof(f1914,plain,
( ron(vd1306,vd1297)
| ~ spl119_21 ),
inference(avatar_component_clause,[],[f1912]) ).
fof(f1912,plain,
( spl119_21
<=> ron(vd1306,vd1297) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_21])]) ).
fof(f25981,plain,
( ~ ron(vd1306,vd1297)
| ~ ron(vd1289,vd1297)
| ~ spl119_3
| ~ spl119_25
| ~ spl119_307 ),
inference(subsumption_resolution,[],[f25970,f1821]) ).
fof(f1821,plain,
( rline(vd1297)
| ~ spl119_3 ),
inference(avatar_component_clause,[],[f1819]) ).
fof(f1819,plain,
( spl119_3
<=> rline(vd1297) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_3])]) ).
fof(f25970,plain,
( ~ rline(vd1297)
| ~ ron(vd1306,vd1297)
| ~ ron(vd1289,vd1297)
| ~ spl119_25
| ~ spl119_307 ),
inference(resolution,[],[f25958,f1938]) ).
fof(f1938,plain,
( ron(vd1287,vd1297)
| ~ spl119_25 ),
inference(avatar_component_clause,[],[f1936]) ).
fof(f1936,plain,
( spl119_25
<=> ron(vd1287,vd1297) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_25])]) ).
fof(f25958,plain,
( ! [X196] :
( ~ ron(vd1287,X196)
| ~ rline(X196)
| ~ ron(vd1306,X196)
| ~ ron(vd1289,X196) )
| ~ spl119_307 ),
inference(avatar_component_clause,[],[f25957]) ).
fof(f25957,plain,
( spl119_307
<=> ! [X196] :
( ~ rline(X196)
| ~ ron(vd1287,X196)
| ~ ron(vd1306,X196)
| ~ ron(vd1289,X196) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_307])]) ).
fof(f25963,plain,
( spl119_307
| spl119_308
| ~ spl119_6
| spl119_13
| spl119_15
| ~ spl119_30
| ~ spl119_33
| spl119_48
| spl119_122
| spl119_221 ),
inference(avatar_split_clause,[],[f16069,f12011,f3101,f2062,f1982,f1966,f1881,f1869,f1834,f25960,f25957]) ).
fof(f1869,plain,
( spl119_13
<=> vd1306 = vd1287 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_13])]) ).
fof(f1881,plain,
( spl119_15
<=> vd1289 = vd1287 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_15])]) ).
fof(f2062,plain,
( spl119_48
<=> rR(vd1287,vd1289,vd1306) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_48])]) ).
fof(f3101,plain,
( spl119_122
<=> vd1289 = vd1306 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_122])]) ).
fof(f12011,plain,
( spl119_221
<=> rR(vd1289,vd1306,vd1287) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_221])]) ).
fof(f16069,plain,
( ! [X196] :
( rR(vd1306,vd1289,vd1287)
| ~ rline(X196)
| ~ ron(vd1289,X196)
| ~ ron(vd1306,X196)
| ~ ron(vd1287,X196) )
| ~ spl119_6
| spl119_13
| spl119_15
| ~ spl119_30
| ~ spl119_33
| spl119_48
| spl119_122
| spl119_221 ),
inference(subsumption_resolution,[],[f16068,f1871]) ).
fof(f1871,plain,
( vd1306 != vd1287
| spl119_13 ),
inference(avatar_component_clause,[],[f1869]) ).
fof(f16068,plain,
( ! [X196] :
( rR(vd1306,vd1289,vd1287)
| vd1306 = vd1287
| ~ rline(X196)
| ~ ron(vd1289,X196)
| ~ ron(vd1306,X196)
| ~ ron(vd1287,X196) )
| ~ spl119_6
| spl119_15
| ~ spl119_30
| ~ spl119_33
| spl119_48
| spl119_122
| spl119_221 ),
inference(subsumption_resolution,[],[f16067,f1883]) ).
fof(f1883,plain,
( vd1289 != vd1287
| spl119_15 ),
inference(avatar_component_clause,[],[f1881]) ).
fof(f16067,plain,
( ! [X196] :
( rR(vd1306,vd1289,vd1287)
| vd1289 = vd1287
| vd1306 = vd1287
| ~ rline(X196)
| ~ ron(vd1289,X196)
| ~ ron(vd1306,X196)
| ~ ron(vd1287,X196) )
| ~ spl119_6
| ~ spl119_30
| ~ spl119_33
| spl119_48
| spl119_122
| spl119_221 ),
inference(subsumption_resolution,[],[f16066,f3102]) ).
fof(f3102,plain,
( vd1289 != vd1306
| spl119_122 ),
inference(avatar_component_clause,[],[f3101]) ).
fof(f16066,plain,
( ! [X196] :
( rR(vd1306,vd1289,vd1287)
| vd1289 = vd1306
| vd1289 = vd1287
| vd1306 = vd1287
| ~ rline(X196)
| ~ ron(vd1289,X196)
| ~ ron(vd1306,X196)
| ~ ron(vd1287,X196) )
| ~ spl119_6
| ~ spl119_30
| ~ spl119_33
| spl119_48
| spl119_221 ),
inference(subsumption_resolution,[],[f16065,f1984]) ).
fof(f16065,plain,
( ! [X196] :
( rR(vd1306,vd1289,vd1287)
| ~ rpoint(vd1287)
| vd1289 = vd1306
| vd1289 = vd1287
| vd1306 = vd1287
| ~ rline(X196)
| ~ ron(vd1289,X196)
| ~ ron(vd1306,X196)
| ~ ron(vd1287,X196) )
| ~ spl119_6
| ~ spl119_30
| spl119_48
| spl119_221 ),
inference(subsumption_resolution,[],[f16064,f1836]) ).
fof(f16064,plain,
( ! [X196] :
( rR(vd1306,vd1289,vd1287)
| ~ rpoint(vd1306)
| ~ rpoint(vd1287)
| vd1289 = vd1306
| vd1289 = vd1287
| vd1306 = vd1287
| ~ rline(X196)
| ~ ron(vd1289,X196)
| ~ ron(vd1306,X196)
| ~ ron(vd1287,X196) )
| ~ spl119_30
| spl119_48
| spl119_221 ),
inference(subsumption_resolution,[],[f16063,f1968]) ).
fof(f16063,plain,
( ! [X196] :
( rR(vd1306,vd1289,vd1287)
| ~ rpoint(vd1289)
| ~ rpoint(vd1306)
| ~ rpoint(vd1287)
| vd1289 = vd1306
| vd1289 = vd1287
| vd1306 = vd1287
| ~ rline(X196)
| ~ ron(vd1289,X196)
| ~ ron(vd1306,X196)
| ~ ron(vd1287,X196) )
| spl119_48
| spl119_221 ),
inference(subsumption_resolution,[],[f15565,f12013]) ).
fof(f12013,plain,
( ~ rR(vd1289,vd1306,vd1287)
| spl119_221 ),
inference(avatar_component_clause,[],[f12011]) ).
fof(f15565,plain,
( ! [X196] :
( rR(vd1289,vd1306,vd1287)
| rR(vd1306,vd1289,vd1287)
| ~ rpoint(vd1289)
| ~ rpoint(vd1306)
| ~ rpoint(vd1287)
| vd1289 = vd1306
| vd1289 = vd1287
| vd1306 = vd1287
| ~ rline(X196)
| ~ ron(vd1289,X196)
| ~ ron(vd1306,X196)
| ~ ron(vd1287,X196) )
| spl119_48 ),
inference(resolution,[],[f1187,f2064]) ).
fof(f2064,plain,
( ~ rR(vd1287,vd1289,vd1306)
| spl119_48 ),
inference(avatar_component_clause,[],[f2062]) ).
fof(f1187,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,[],[f1186]) ).
fof(f1186,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,[],[f1185]) ).
fof(f1185,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,[],[f1184]) ).
fof(f1184,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,[],[f782]) ).
fof(f782,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,[],[f386]) ).
fof(f386,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,[],[f385]) ).
fof(f385,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,[],[f218]) ).
fof(f218,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,[],[f64]) ).
fof(f64,axiom,
! [X131,X132,X133,X134,X135] :
( ( ? [X138] :
( rpoint(X138)
& X131 = X138 )
& ? [X137] :
( rpoint(X137)
& X132 = X137 )
& ? [X136] :
( rpoint(X136)
& X133 = X136 )
& X131 != X132
& X131 != X133
& X132 != X133
& rline(X135)
& ron(X131,X134)
& ron(X132,X134)
& ron(X133,X134)
& X134 = X135 )
=> ( rR(X133,X131,X132)
| rR(X131,X132,X133)
| rR(X132,X131,X133) ) ),
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))') ).
fof(f12813,plain,
( ~ spl119_234
| ~ spl119_1
| ~ spl119_17
| ~ spl119_81
| ~ spl119_112
| spl119_125
| ~ spl119_229 ),
inference(avatar_split_clause,[],[f12738,f12635,f3114,f2803,f2493,f1891,f1809,f12810]) ).
fof(f12810,plain,
( spl119_234
<=> sK16(vd1287,vd1300) = sK16(vd1287,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_234])]) ).
fof(f3114,plain,
( spl119_125
<=> vd684 = sF117 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_125])]) ).
fof(f12738,plain,
( sK16(vd1287,vd1300) != sK16(vd1287,sK2)
| ~ spl119_1
| ~ spl119_17
| ~ spl119_81
| ~ spl119_112
| spl119_125
| ~ spl119_229 ),
inference(subsumption_resolution,[],[f12737,f3116]) ).
fof(f3116,plain,
( vd684 != sF117
| spl119_125 ),
inference(avatar_component_clause,[],[f3114]) ).
fof(f12737,plain,
( sK16(vd1287,vd1300) != sK16(vd1287,sK2)
| vd684 = sF117
| ~ spl119_1
| ~ spl119_17
| ~ spl119_81
| ~ spl119_112
| ~ spl119_229 ),
inference(subsumption_resolution,[],[f12736,f2805]) ).
fof(f12736,plain,
( sK16(vd1287,vd1300) != sK16(vd1287,sK2)
| ~ rreal(sK16(vd1287,sK2))
| vd684 = sF117
| ~ spl119_1
| ~ spl119_17
| ~ spl119_81
| ~ spl119_229 ),
inference(subsumption_resolution,[],[f12665,f2495]) ).
fof(f12665,plain,
( sK16(vd1287,vd1300) != sK16(vd1287,sK2)
| ~ rreal(sF117)
| ~ rreal(sK16(vd1287,sK2))
| vd684 = sF117
| ~ spl119_1
| ~ spl119_17
| ~ spl119_229 ),
inference(superposition,[],[f3795,f12637]) ).
fof(f3795,plain,
( ! [X3,X4] :
( vplus(X4,X3) != X4
| ~ rreal(X3)
| ~ rreal(X4)
| vd684 = X3 )
| ~ spl119_1
| ~ spl119_17 ),
inference(duplicate_literal_removal,[],[f3793]) ).
fof(f3793,plain,
( ! [X3,X4] :
( vplus(X4,X3) != X4
| ~ rreal(X3)
| ~ rreal(X4)
| vd684 = X3
| ~ rreal(X3)
| ~ rreal(X4) )
| ~ spl119_1
| ~ spl119_17 ),
inference(superposition,[],[f3669,f1032]) ).
fof(f3669,plain,
( ! [X8,X9] :
( vplus(X9,X8) != X8
| ~ rreal(X9)
| ~ rreal(X8)
| vd684 = X9 )
| ~ spl119_1
| ~ spl119_17 ),
inference(subsumption_resolution,[],[f3664,f1811]) ).
fof(f3664,plain,
( ! [X8,X9] :
( vplus(X9,X8) != X8
| ~ rreal(vd684)
| ~ rreal(X9)
| ~ rreal(X8)
| vd684 = X9 )
| ~ spl119_1
| ~ spl119_17 ),
inference(duplicate_literal_removal,[],[f3653]) ).
fof(f3653,plain,
( ! [X8,X9] :
( vplus(X9,X8) != X8
| ~ rreal(vd684)
| ~ rreal(X9)
| ~ rreal(X8)
| vd684 = X9
| ~ rreal(X8) )
| ~ spl119_1
| ~ spl119_17 ),
inference(superposition,[],[f1384,f2541]) ).
fof(f12808,plain,
( spl119_233
| ~ spl119_1
| ~ spl119_17
| ~ spl119_81
| ~ spl119_112
| ~ spl119_149
| ~ spl119_229 ),
inference(avatar_split_clause,[],[f12732,f12635,f6053,f2803,f2493,f1891,f1809,f12805]) ).
fof(f6053,plain,
( spl119_149
<=> rless(vd684,sF117) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_149])]) ).
fof(f12732,plain,
( rless(sK16(vd1287,sK2),sK16(vd1287,vd1300))
| ~ spl119_1
| ~ spl119_17
| ~ spl119_81
| ~ spl119_112
| ~ spl119_149
| ~ spl119_229 ),
inference(subsumption_resolution,[],[f12731,f6055]) ).
fof(f6055,plain,
( rless(vd684,sF117)
| ~ spl119_149 ),
inference(avatar_component_clause,[],[f6053]) ).
fof(f12731,plain,
( rless(sK16(vd1287,sK2),sK16(vd1287,vd1300))
| ~ rless(vd684,sF117)
| ~ spl119_1
| ~ spl119_17
| ~ spl119_81
| ~ spl119_112
| ~ spl119_229 ),
inference(subsumption_resolution,[],[f12730,f2805]) ).
fof(f12730,plain,
( rless(sK16(vd1287,sK2),sK16(vd1287,vd1300))
| ~ rreal(sK16(vd1287,sK2))
| ~ rless(vd684,sF117)
| ~ spl119_1
| ~ spl119_17
| ~ spl119_81
| ~ spl119_229 ),
inference(subsumption_resolution,[],[f12661,f2495]) ).
fof(f12661,plain,
( rless(sK16(vd1287,sK2),sK16(vd1287,vd1300))
| ~ rreal(sF117)
| ~ rreal(sK16(vd1287,sK2))
| ~ rless(vd684,sF117)
| ~ spl119_1
| ~ spl119_17
| ~ spl119_229 ),
inference(superposition,[],[f3711,f12637]) ).
fof(f3711,plain,
( ! [X3,X4] :
( rless(X4,vplus(X4,X3))
| ~ rreal(X3)
| ~ rreal(X4)
| ~ rless(vd684,X3) )
| ~ spl119_1
| ~ spl119_17 ),
inference(duplicate_literal_removal,[],[f3708]) ).
fof(f3708,plain,
( ! [X3,X4] :
( rless(X4,vplus(X4,X3))
| ~ rreal(X3)
| ~ rreal(X4)
| ~ rless(vd684,X3)
| ~ rreal(X3)
| ~ rreal(X4) )
| ~ spl119_1
| ~ spl119_17 ),
inference(superposition,[],[f3553,f1032]) ).
fof(f12638,plain,
( spl119_229
| ~ spl119_5
| ~ spl119_9
| ~ spl119_33
| ~ spl119_52
| ~ spl119_54
| ~ spl119_101
| ~ spl119_104 ),
inference(avatar_split_clause,[],[f12568,f2724,f2698,f2098,f2086,f1982,f1849,f1829,f12635]) ).
fof(f1829,plain,
( spl119_5
<=> rpoint(vd1300) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_5])]) ).
fof(f1849,plain,
( spl119_9
<=> rpoint(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_9])]) ).
fof(f2086,plain,
( spl119_52
<=> rR(sK2,vd1287,vd1300) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_52])]) ).
fof(f2098,plain,
( spl119_54
<=> sF117 = vf(sK2,vd1300) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_54])]) ).
fof(f2698,plain,
( spl119_101
<=> vf(vd1287,vd1300) = sK16(vd1287,vd1300) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_101])]) ).
fof(f2724,plain,
( spl119_104
<=> vf(vd1287,sK2) = sK16(vd1287,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_104])]) ).
fof(f12568,plain,
( sK16(vd1287,vd1300) = vplus(sK16(vd1287,sK2),sF117)
| ~ spl119_5
| ~ spl119_9
| ~ spl119_33
| ~ spl119_52
| ~ spl119_54
| ~ spl119_101
| ~ spl119_104 ),
inference(forward_demodulation,[],[f12567,f2700]) ).
fof(f2700,plain,
( vf(vd1287,vd1300) = sK16(vd1287,vd1300)
| ~ spl119_101 ),
inference(avatar_component_clause,[],[f2698]) ).
fof(f12567,plain,
( vf(vd1287,vd1300) = vplus(sK16(vd1287,sK2),sF117)
| ~ spl119_5
| ~ spl119_9
| ~ spl119_33
| ~ spl119_52
| ~ spl119_54
| ~ spl119_104 ),
inference(subsumption_resolution,[],[f12566,f2088]) ).
fof(f2088,plain,
( rR(sK2,vd1287,vd1300)
| ~ spl119_52 ),
inference(avatar_component_clause,[],[f2086]) ).
fof(f12566,plain,
( vf(vd1287,vd1300) = vplus(sK16(vd1287,sK2),sF117)
| ~ rR(sK2,vd1287,vd1300)
| ~ spl119_5
| ~ spl119_9
| ~ spl119_33
| ~ spl119_54
| ~ spl119_104 ),
inference(subsumption_resolution,[],[f12495,f1984]) ).
fof(f12495,plain,
( vf(vd1287,vd1300) = vplus(sK16(vd1287,sK2),sF117)
| ~ rpoint(vd1287)
| ~ rR(sK2,vd1287,vd1300)
| ~ spl119_5
| ~ spl119_9
| ~ spl119_54
| ~ spl119_104 ),
inference(superposition,[],[f8620,f2726]) ).
fof(f2726,plain,
( vf(vd1287,sK2) = sK16(vd1287,sK2)
| ~ spl119_104 ),
inference(avatar_component_clause,[],[f2724]) ).
fof(f8620,plain,
( ! [X35] :
( vf(X35,vd1300) = vplus(vf(X35,sK2),sF117)
| ~ rpoint(X35)
| ~ rR(sK2,X35,vd1300) )
| ~ spl119_5
| ~ spl119_9
| ~ spl119_54 ),
inference(subsumption_resolution,[],[f8619,f1831]) ).
fof(f1831,plain,
( rpoint(vd1300)
| ~ spl119_5 ),
inference(avatar_component_clause,[],[f1829]) ).
fof(f8619,plain,
( ! [X35] :
( vf(X35,vd1300) = vplus(vf(X35,sK2),sF117)
| ~ rpoint(X35)
| ~ rpoint(vd1300)
| ~ rR(sK2,X35,vd1300) )
| ~ spl119_9
| ~ spl119_54 ),
inference(subsumption_resolution,[],[f8473,f1851]) ).
fof(f1851,plain,
( rpoint(sK2)
| ~ spl119_9 ),
inference(avatar_component_clause,[],[f1849]) ).
fof(f8473,plain,
( ! [X35] :
( vf(X35,vd1300) = vplus(vf(X35,sK2),sF117)
| ~ rpoint(X35)
| ~ rpoint(sK2)
| ~ rpoint(vd1300)
| ~ rR(sK2,X35,vd1300) )
| ~ spl119_54 ),
inference(superposition,[],[f970,f2100]) ).
fof(f2100,plain,
( sF117 = vf(sK2,vd1300)
| ~ spl119_54 ),
inference(avatar_component_clause,[],[f2098]) ).
fof(f12014,plain,
( ~ spl119_221
| ~ spl119_6
| ~ spl119_30
| ~ spl119_33
| spl119_219 ),
inference(avatar_split_clause,[],[f12009,f11989,f1982,f1966,f1834,f12011]) ).
fof(f11989,plain,
( spl119_219
<=> rR(vd1289,vd1287,vd1306) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_219])]) ).
fof(f12009,plain,
( ~ rR(vd1289,vd1306,vd1287)
| ~ spl119_6
| ~ spl119_30
| ~ spl119_33
| spl119_219 ),
inference(subsumption_resolution,[],[f12008,f1984]) ).
fof(f12008,plain,
( ~ rpoint(vd1287)
| ~ rR(vd1289,vd1306,vd1287)
| ~ spl119_6
| ~ spl119_30
| spl119_219 ),
inference(subsumption_resolution,[],[f12007,f1968]) ).
fof(f12007,plain,
( ~ rpoint(vd1289)
| ~ rpoint(vd1287)
| ~ rR(vd1289,vd1306,vd1287)
| ~ spl119_6
| spl119_219 ),
inference(subsumption_resolution,[],[f12000,f1836]) ).
fof(f12000,plain,
( ~ rpoint(vd1306)
| ~ rpoint(vd1289)
| ~ rpoint(vd1287)
| ~ rR(vd1289,vd1306,vd1287)
| spl119_219 ),
inference(resolution,[],[f11991,f973]) ).
fof(f973,plain,
! [X3,X4,X5] :
( rR(X4,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X4,X3,X5) ),
inference(equality_resolution,[],[f972]) ).
fof(f972,plain,
! [X2,X3,X4,X5] :
( rR(X4,X2,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X4,X3,X2) ),
inference(equality_resolution,[],[f971]) ).
fof(f971,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,[],[f706]) ).
fof(f706,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,[],[f312]) ).
fof(f312,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,[],[f311]) ).
fof(f311,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,[],[f179]) ).
fof(f179,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,[],[f36]) ).
fof(f36,axiom,
! [X58,X59,X60] :
( ( ? [X63] :
( rpoint(X63)
& X58 = X63 )
& ? [X62] :
( rpoint(X62)
& X59 = X62 )
& ? [X61] :
( rpoint(X61)
& X60 = X61 )
& rR(X59,X58,X60) )
=> ( rR(X59,X60,X58)
& X58 != X59
& X58 != X60
& ~ rR(X58,X59,X60) ) ),
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof(f11991,plain,
( ~ rR(vd1289,vd1287,vd1306)
| spl119_219 ),
inference(avatar_component_clause,[],[f11989]) ).
fof(f11996,plain,
( ~ spl119_219
| spl119_220
| ~ spl119_6
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| ~ spl119_99
| ~ spl119_103 ),
inference(avatar_split_clause,[],[f11546,f2713,f2681,f2093,f1982,f1966,f1834,f11993,f11989]) ).
fof(f2681,plain,
( spl119_99
<=> vf(vd1287,vd1306) = sK16(vd1287,vd1300) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_99])]) ).
fof(f11546,plain,
( sK16(vd1287,vd1300) = vplus(sK16(vd1287,sK2),sF118)
| ~ rR(vd1289,vd1287,vd1306)
| ~ spl119_6
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| ~ spl119_99
| ~ spl119_103 ),
inference(forward_demodulation,[],[f11545,f2683]) ).
fof(f2683,plain,
( vf(vd1287,vd1306) = sK16(vd1287,vd1300)
| ~ spl119_99 ),
inference(avatar_component_clause,[],[f2681]) ).
fof(f11545,plain,
( vf(vd1287,vd1306) = vplus(sK16(vd1287,sK2),sF118)
| ~ rR(vd1289,vd1287,vd1306)
| ~ spl119_6
| ~ spl119_30
| ~ spl119_33
| ~ spl119_53
| ~ spl119_103 ),
inference(subsumption_resolution,[],[f11475,f1984]) ).
fof(f11475,plain,
( vf(vd1287,vd1306) = vplus(sK16(vd1287,sK2),sF118)
| ~ rpoint(vd1287)
| ~ rR(vd1289,vd1287,vd1306)
| ~ spl119_6
| ~ spl119_30
| ~ spl119_53
| ~ spl119_103 ),
inference(superposition,[],[f8604,f2715]) ).
fof(f8604,plain,
( ! [X27] :
( vf(X27,vd1306) = vplus(vf(X27,vd1289),sF118)
| ~ rpoint(X27)
| ~ rR(vd1289,X27,vd1306) )
| ~ spl119_6
| ~ spl119_30
| ~ spl119_53 ),
inference(subsumption_resolution,[],[f8603,f1836]) ).
fof(f8603,plain,
( ! [X27] :
( vf(X27,vd1306) = vplus(vf(X27,vd1289),sF118)
| ~ rpoint(X27)
| ~ rpoint(vd1306)
| ~ rR(vd1289,X27,vd1306) )
| ~ spl119_30
| ~ spl119_53 ),
inference(subsumption_resolution,[],[f8465,f1968]) ).
fof(f8465,plain,
( ! [X27] :
( vf(X27,vd1306) = vplus(vf(X27,vd1289),sF118)
| ~ rpoint(X27)
| ~ rpoint(vd1289)
| ~ rpoint(vd1306)
| ~ rR(vd1289,X27,vd1306) )
| ~ spl119_53 ),
inference(superposition,[],[f970,f2095]) ).
fof(f7599,plain,
( vd1300 != sK2
| rR(vd1300,vd1287,sK2)
| ~ rR(sK2,vd1287,vd1300) ),
introduced(theory_tautology_sat_conflict,[]) ).
fof(f7598,plain,
( spl119_124
| ~ spl119_5
| ~ spl119_9
| ~ spl119_148 ),
inference(avatar_split_clause,[],[f7557,f6050,f1849,f1829,f3110]) ).
fof(f3110,plain,
( spl119_124
<=> vd1300 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_124])]) ).
fof(f6050,plain,
( spl119_148
<=> ! [X23] :
( ~ rcenter(vd1300,X23)
| ~ ron(sK2,X23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_148])]) ).
fof(f7557,plain,
( vd1300 = sK2
| ~ spl119_5
| ~ spl119_9
| ~ spl119_148 ),
inference(subsumption_resolution,[],[f7556,f1831]) ).
fof(f7556,plain,
( vd1300 = sK2
| ~ rpoint(vd1300)
| ~ spl119_5
| ~ spl119_9
| ~ spl119_148 ),
inference(subsumption_resolution,[],[f7555,f1851]) ).
fof(f7555,plain,
( ~ rpoint(sK2)
| vd1300 = sK2
| ~ rpoint(vd1300)
| ~ spl119_5
| ~ spl119_148 ),
inference(duplicate_literal_removal,[],[f7550]) ).
fof(f7550,plain,
( ~ rpoint(sK2)
| vd1300 = sK2
| ~ rpoint(vd1300)
| ~ rpoint(sK2)
| vd1300 = sK2
| ~ spl119_5
| ~ spl119_148 ),
inference(resolution,[],[f6058,f912]) ).
fof(f912,plain,
! [X3,X4] :
( ron(X4,sK6(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f911]) ).
fof(f911,plain,
! [X3,X1,X4] :
( ron(X1,sK6(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f666]) ).
fof(f666,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK6(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f493]) ).
fof(f493,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])],[f491,f492]) ).
fof(f492,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(f491,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,[],[f278]) ).
fof(f278,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,[],[f277]) ).
fof(f277,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,[],[f161]) ).
fof(f161,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,[],[f82]) ).
fof(f82,axiom,
! [X209,X210] :
( ( ? [X212] :
( rpoint(X212)
& X209 = X212 )
& ? [X211] :
( rpoint(X211)
& X210 = X211 )
& X209 != X210 )
=> ? [X213] :
( rcircle(X213)
& rcenter(X209,X213)
& ron(X210,X213) ) ),
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))') ).
fof(f6058,plain,
( ! [X0] :
( ~ ron(sK2,sK6(vd1300,X0))
| ~ rpoint(X0)
| vd1300 = X0 )
| ~ spl119_5
| ~ spl119_148 ),
inference(subsumption_resolution,[],[f6057,f1831]) ).
fof(f6057,plain,
( ! [X0] :
( ~ ron(sK2,sK6(vd1300,X0))
| ~ rpoint(vd1300)
| ~ rpoint(X0)
| vd1300 = X0 )
| ~ spl119_148 ),
inference(resolution,[],[f6051,f910]) ).
fof(f910,plain,
! [X3,X4] :
( rcenter(X3,sK6(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f909]) ).
fof(f909,plain,
! [X3,X1,X4] :
( rcenter(X3,sK6(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f667]) ).
fof(f667,plain,
! [X3,X0,X1,X4] :
( rcenter(X0,sK6(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f493]) ).
fof(f6051,plain,
( ! [X23] :
( ~ rcenter(vd1300,X23)
| ~ ron(sK2,X23) )
| ~ spl119_148 ),
inference(avatar_component_clause,[],[f6050]) ).
fof(f6719,plain,
( spl119_122
| ~ spl119_6
| ~ spl119_30
| ~ spl119_146 ),
inference(avatar_split_clause,[],[f6680,f6040,f1966,f1834,f3101]) ).
fof(f6040,plain,
( spl119_146
<=> ! [X17] :
( ~ rcenter(vd1289,X17)
| ~ ron(vd1306,X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_146])]) ).
fof(f6680,plain,
( vd1289 = vd1306
| ~ spl119_6
| ~ spl119_30
| ~ spl119_146 ),
inference(subsumption_resolution,[],[f6679,f1968]) ).
fof(f6679,plain,
( vd1289 = vd1306
| ~ rpoint(vd1289)
| ~ spl119_6
| ~ spl119_30
| ~ spl119_146 ),
inference(subsumption_resolution,[],[f6678,f1836]) ).
fof(f6678,plain,
( ~ rpoint(vd1306)
| vd1289 = vd1306
| ~ rpoint(vd1289)
| ~ spl119_30
| ~ spl119_146 ),
inference(duplicate_literal_removal,[],[f6673]) ).
fof(f6673,plain,
( ~ rpoint(vd1306)
| vd1289 = vd1306
| ~ rpoint(vd1289)
| ~ rpoint(vd1306)
| vd1289 = vd1306
| ~ spl119_30
| ~ spl119_146 ),
inference(resolution,[],[f6048,f912]) ).
fof(f6048,plain,
( ! [X0] :
( ~ ron(vd1306,sK6(vd1289,X0))
| ~ rpoint(X0)
| vd1289 = X0 )
| ~ spl119_30
| ~ spl119_146 ),
inference(subsumption_resolution,[],[f6047,f1968]) ).
fof(f6047,plain,
( ! [X0] :
( ~ ron(vd1306,sK6(vd1289,X0))
| ~ rpoint(vd1289)
| ~ rpoint(X0)
| vd1289 = X0 )
| ~ spl119_146 ),
inference(resolution,[],[f6041,f910]) ).
fof(f6041,plain,
( ! [X17] :
( ~ rcenter(vd1289,X17)
| ~ ron(vd1306,X17) )
| ~ spl119_146 ),
inference(avatar_component_clause,[],[f6040]) ).
fof(f6056,plain,
( spl119_148
| spl119_149
| ~ spl119_9
| ~ spl119_17
| ~ spl119_77 ),
inference(avatar_split_clause,[],[f6035,f2402,f1891,f1849,f6053,f6050]) ).
fof(f2402,plain,
( spl119_77
<=> sF117 = vf(vd1300,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_77])]) ).
fof(f6035,plain,
( ! [X23] :
( rless(vd684,sF117)
| ~ rcenter(vd1300,X23)
| ~ ron(sK2,X23) )
| ~ spl119_9
| ~ spl119_17
| ~ spl119_77 ),
inference(subsumption_resolution,[],[f6012,f1851]) ).
fof(f6012,plain,
( ! [X23] :
( rless(vd684,sF117)
| ~ rpoint(sK2)
| ~ rcenter(vd1300,X23)
| ~ ron(sK2,X23) )
| ~ spl119_17
| ~ spl119_77 ),
inference(superposition,[],[f5964,f2404]) ).
fof(f2404,plain,
( sF117 = vf(vd1300,sK2)
| ~ spl119_77 ),
inference(avatar_component_clause,[],[f2402]) ).
fof(f5964,plain,
( ! [X2,X0,X1] :
( rless(vd684,vf(X0,X1))
| ~ rpoint(X1)
| ~ rcenter(X0,X2)
| ~ ron(X1,X2) )
| ~ spl119_17 ),
inference(subsumption_resolution,[],[f5963,f2374]) ).
fof(f2374,plain,
! [X0,X1] :
( ~ rcenter(X0,X1)
| rpoint(X0) ),
inference(duplicate_literal_removal,[],[f2373]) ).
fof(f2373,plain,
! [X0,X1] :
( rpoint(X0)
| ~ rcenter(X0,X1)
| ~ rcenter(X0,X1) ),
inference(superposition,[],[f663,f662]) ).
fof(f662,plain,
! [X0,X1] :
( sK4(X0,X1) = X0
| ~ rcenter(X0,X1) ),
inference(cnf_transformation,[],[f488]) ).
fof(f488,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])],[f272,f487]) ).
fof(f487,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(f272,plain,
! [X0,X1] :
( ? [X2,X3] :
( rpoint(X2)
& X0 = X2
& rcircle(X3)
& X1 = X3 )
| ~ rcenter(X0,X1) ),
inference(ennf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1] :
( rcenter(X0,X1)
=> ? [X2,X3] :
( rpoint(X2)
& X0 = X2
& rcircle(X3)
& X1 = X3 ) ),
inference(rectify,[],[f83]) ).
fof(f83,axiom,
! [X214,X215] :
( rcenter(X214,X215)
=> ? [X216,X217] :
( rpoint(X216)
& X214 = X216
& rcircle(X217)
& X215 = X217 ) ),
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','qu(cond(axiom(1), 0), imp(cond(axiom(1), 0)))') ).
fof(f663,plain,
! [X0,X1] :
( rpoint(sK4(X0,X1))
| ~ rcenter(X0,X1) ),
inference(cnf_transformation,[],[f488]) ).
fof(f5963,plain,
( ! [X2,X0,X1] :
( rless(vd684,vf(X0,X1))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rcenter(X0,X2)
| ~ ron(X1,X2) )
| ~ spl119_17 ),
inference(subsumption_resolution,[],[f5959,f659]) ).
fof(f659,plain,
! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ),
inference(cnf_transformation,[],[f271]) ).
fof(f271,plain,
! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ),
inference(ennf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1] :
( rcenter(X0,X1)
=> rinside(X0,X1) ),
inference(rectify,[],[f110]) ).
fof(f110,axiom,
! [X434,X435] :
( rcenter(X434,X435)
=> rinside(X434,X435) ),
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).
fof(f5959,plain,
( ! [X2,X0,X1] :
( rless(vd684,vf(X0,X1))
| ~ rinside(X0,X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rcenter(X0,X2)
| ~ ron(X1,X2) )
| ~ spl119_17 ),
inference(duplicate_literal_removal,[],[f5918]) ).
fof(f5918,plain,
( ! [X2,X0,X1] :
( rless(vd684,vf(X0,X1))
| ~ rinside(X0,X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rcenter(X0,X2)
| ~ ron(X1,X2)
| ~ rpoint(X0) )
| ~ spl119_17 ),
inference(superposition,[],[f1105,f2251]) ).
fof(f2251,plain,
( ! [X3] :
( vd684 = vf(X3,X3)
| ~ rpoint(X3) )
| ~ spl119_17 ),
inference(forward_demodulation,[],[f1806,f1893]) ).
fof(f1806,plain,
! [X3] :
( v0 = vf(X3,X3)
| ~ rpoint(X3) ),
inference(duplicate_literal_removal,[],[f952]) ).
fof(f952,plain,
! [X3] :
( v0 = vf(X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f951]) ).
fof(f951,plain,
! [X2,X3] :
( v0 = vf(X2,X2)
| ~ rpoint(X2)
| ~ rpoint(X3)
| X2 != X3 ),
inference(equality_resolution,[],[f950]) ).
fof(f950,plain,
! [X2,X3,X1] :
( v0 = vf(X1,X1)
| ~ rpoint(X2)
| X1 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(equality_resolution,[],[f695]) ).
fof(f695,plain,
! [X2,X3,X0,X1] :
( v0 = vf(X0,X1)
| X0 != X1
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f510]) ).
fof(f510,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,[],[f302]) ).
fof(f302,plain,
! [X0,X1] :
( ( v0 = vf(X0,X1)
<=> X0 = X1 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f301]) ).
fof(f301,plain,
! [X0,X1] :
( ( v0 = vf(X0,X1)
<=> X0 = X1 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> ( v0 = vf(X0,X1)
<=> X0 = X1 ) ),
inference(rectify,[],[f59]) ).
fof(f59,axiom,
! [X110,X111] :
( ( ? [X113] :
( rpoint(X113)
& X110 = X113 )
& ? [X112] :
( rpoint(X112)
& X111 = X112 ) )
=> ( v0 = vf(X110,X111)
<=> X110 = X111 ) ),
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
fof(f1105,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,[],[f1104]) ).
fof(f1104,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,[],[f760]) ).
fof(f760,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,[],[f547]) ).
fof(f547,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,[],[f362]) ).
fof(f362,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,[],[f361]) ).
fof(f361,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,[],[f205]) ).
fof(f205,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,[],[f56]) ).
fof(f56,axiom,
! [X94,X95,X96,X97] :
( ( ? [X99] :
( rpoint(X99)
& X94 = X99 )
& ? [X98] :
( rpoint(X98)
& X95 = X98 )
& rcenter(X96,X97)
& ron(X95,X97) )
=> ( rless(vf(X96,X94),vf(X96,X95))
<=> rinside(X94,X97) ) ),
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))') ).
fof(f6046,plain,
( spl119_146
| spl119_147
| ~ spl119_6
| ~ spl119_17
| ~ spl119_53 ),
inference(avatar_split_clause,[],[f6029,f2093,f1891,f1834,f6043,f6040]) ).
fof(f6029,plain,
( ! [X17] :
( rless(vd684,sF118)
| ~ rcenter(vd1289,X17)
| ~ ron(vd1306,X17) )
| ~ spl119_6
| ~ spl119_17
| ~ spl119_53 ),
inference(subsumption_resolution,[],[f6006,f1836]) ).
fof(f6006,plain,
( ! [X17] :
( rless(vd684,sF118)
| ~ rpoint(vd1306)
| ~ rcenter(vd1289,X17)
| ~ ron(vd1306,X17) )
| ~ spl119_17
| ~ spl119_53 ),
inference(superposition,[],[f5964,f2095]) ).
fof(f3324,plain,
( ~ spl119_139
| ~ spl119_5
| ~ spl119_9
| ~ spl119_33
| spl119_136 ),
inference(avatar_split_clause,[],[f3309,f3282,f1982,f1849,f1829,f3321]) ).
fof(f3321,plain,
( spl119_139
<=> rR(vd1300,vd1287,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_139])]) ).
fof(f3282,plain,
( spl119_136
<=> rR(vd1300,sK2,vd1287) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_136])]) ).
fof(f3309,plain,
( ~ rR(vd1300,vd1287,sK2)
| ~ spl119_5
| ~ spl119_9
| ~ spl119_33
| spl119_136 ),
inference(subsumption_resolution,[],[f3308,f1851]) ).
fof(f3308,plain,
( ~ rpoint(sK2)
| ~ rR(vd1300,vd1287,sK2)
| ~ spl119_5
| ~ spl119_33
| spl119_136 ),
inference(subsumption_resolution,[],[f3307,f1831]) ).
fof(f3307,plain,
( ~ rpoint(vd1300)
| ~ rpoint(sK2)
| ~ rR(vd1300,vd1287,sK2)
| ~ spl119_33
| spl119_136 ),
inference(subsumption_resolution,[],[f3306,f1984]) ).
fof(f3306,plain,
( ~ rpoint(vd1287)
| ~ rpoint(vd1300)
| ~ rpoint(sK2)
| ~ rR(vd1300,vd1287,sK2)
| spl119_136 ),
inference(resolution,[],[f3284,f973]) ).
fof(f3284,plain,
( ~ rR(vd1300,sK2,vd1287)
| spl119_136 ),
inference(avatar_component_clause,[],[f3282]) ).
fof(f3285,plain,
( ~ spl119_136
| ~ spl119_5
| ~ spl119_9
| ~ spl119_33
| ~ spl119_52 ),
inference(avatar_split_clause,[],[f3270,f2086,f1982,f1849,f1829,f3282]) ).
fof(f3270,plain,
( ~ rR(vd1300,sK2,vd1287)
| ~ spl119_5
| ~ spl119_9
| ~ spl119_33
| ~ spl119_52 ),
inference(subsumption_resolution,[],[f3269,f1831]) ).
fof(f3269,plain,
( ~ rR(vd1300,sK2,vd1287)
| ~ rpoint(vd1300)
| ~ spl119_9
| ~ spl119_33
| ~ spl119_52 ),
inference(subsumption_resolution,[],[f3268,f1984]) ).
fof(f3268,plain,
( ~ rpoint(vd1287)
| ~ rR(vd1300,sK2,vd1287)
| ~ rpoint(vd1300)
| ~ spl119_9
| ~ spl119_52 ),
inference(subsumption_resolution,[],[f3257,f1851]) ).
fof(f3257,plain,
( ~ rpoint(sK2)
| ~ rpoint(vd1287)
| ~ rR(vd1300,sK2,vd1287)
| ~ rpoint(vd1300)
| ~ spl119_52 ),
inference(resolution,[],[f3203,f2088]) ).
fof(f3203,plain,
! [X2,X0,X1] :
( ~ rR(X1,X2,X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rR(X0,X1,X2)
| ~ rpoint(X0) ),
inference(duplicate_literal_removal,[],[f3200]) ).
fof(f3200,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,[],[f984,f973]) ).
fof(f984,plain,
! [X3,X4,X5] :
( ~ rR(X4,X3,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X3,X4,X5) ),
inference(equality_resolution,[],[f983]) ).
fof(f983,plain,
! [X2,X3,X4,X5] :
( ~ rR(X3,X4,X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X4,X3,X2) ),
inference(equality_resolution,[],[f982]) ).
fof(f982,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,[],[f703]) ).
fof(f703,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,[],[f312]) ).
fof(f3117,plain,
( spl119_124
| ~ spl119_125
| ~ spl119_5
| ~ spl119_9
| ~ spl119_17
| ~ spl119_54 ),
inference(avatar_split_clause,[],[f3085,f2098,f1891,f1849,f1829,f3114,f3110]) ).
fof(f3085,plain,
( vd684 != sF117
| vd1300 = sK2
| ~ spl119_5
| ~ spl119_9
| ~ spl119_17
| ~ spl119_54 ),
inference(subsumption_resolution,[],[f3084,f1831]) ).
fof(f3084,plain,
( vd684 != sF117
| vd1300 = sK2
| ~ rpoint(vd1300)
| ~ spl119_9
| ~ spl119_17
| ~ spl119_54 ),
inference(subsumption_resolution,[],[f3058,f1851]) ).
fof(f3058,plain,
( vd684 != sF117
| vd1300 = sK2
| ~ rpoint(sK2)
| ~ rpoint(vd1300)
| ~ spl119_17
| ~ spl119_54 ),
inference(superposition,[],[f2996,f2100]) ).
fof(f2996,plain,
( ! [X2,X3] :
( vd684 != vf(X2,X3)
| X2 = X3
| ~ rpoint(X2)
| ~ rpoint(X3) )
| ~ spl119_17 ),
inference(forward_demodulation,[],[f954,f1893]) ).
fof(f954,plain,
! [X2,X3] :
( X2 = X3
| v0 != vf(X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f953]) ).
fof(f953,plain,
! [X2,X3,X1] :
( X1 = X2
| v0 != vf(X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| X1 != X3 ),
inference(equality_resolution,[],[f694]) ).
fof(f694,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| v0 != vf(X0,X1)
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f510]) ).
fof(f2806,plain,
( spl119_112
| ~ spl119_30
| ~ spl119_33
| ~ spl119_102 ),
inference(avatar_split_clause,[],[f2801,f2708,f1982,f1966,f2803]) ).
fof(f2708,plain,
( spl119_102
<=> sK16(vd1287,vd1289) = sK16(vd1287,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_102])]) ).
fof(f2801,plain,
( rreal(sK16(vd1287,sK2))
| ~ spl119_30
| ~ spl119_33
| ~ spl119_102 ),
inference(subsumption_resolution,[],[f2800,f1968]) ).
fof(f2800,plain,
( rreal(sK16(vd1287,sK2))
| ~ rpoint(vd1289)
| ~ spl119_33
| ~ spl119_102 ),
inference(subsumption_resolution,[],[f2799,f1984]) ).
fof(f2799,plain,
( rreal(sK16(vd1287,sK2))
| ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| ~ spl119_102 ),
inference(superposition,[],[f962,f2710]) ).
fof(f2710,plain,
( sK16(vd1287,vd1289) = sK16(vd1287,sK2)
| ~ spl119_102 ),
inference(avatar_component_clause,[],[f2708]) ).
fof(f962,plain,
! [X3,X4] :
( rreal(sK16(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f961]) ).
fof(f961,plain,
! [X3,X1,X4] :
( rreal(sK16(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4 ),
inference(equality_resolution,[],[f700]) ).
fof(f700,plain,
! [X3,X0,X1,X4] :
( rreal(sK16(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(cnf_transformation,[],[f516]) ).
fof(f2798,plain,
( spl119_111
| ~ spl119_6
| ~ spl119_33
| ~ spl119_98 ),
inference(avatar_split_clause,[],[f2793,f2676,f1982,f1834,f2795]) ).
fof(f2793,plain,
( rreal(sK16(vd1287,vd1300))
| ~ spl119_6
| ~ spl119_33
| ~ spl119_98 ),
inference(subsumption_resolution,[],[f2792,f1836]) ).
fof(f2792,plain,
( rreal(sK16(vd1287,vd1300))
| ~ rpoint(vd1306)
| ~ spl119_33
| ~ spl119_98 ),
inference(subsumption_resolution,[],[f2791,f1984]) ).
fof(f2791,plain,
( rreal(sK16(vd1287,vd1300))
| ~ rpoint(vd1287)
| ~ rpoint(vd1306)
| ~ spl119_98 ),
inference(superposition,[],[f962,f2678]) ).
fof(f2730,plain,
( spl119_102
| ~ spl119_9
| ~ spl119_33
| ~ spl119_89 ),
inference(avatar_split_clause,[],[f2656,f2567,f1982,f1849,f2708]) ).
fof(f2567,plain,
( spl119_89
<=> vf(vd1287,sK2) = sK16(vd1287,vd1289) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_89])]) ).
fof(f2656,plain,
( sK16(vd1287,vd1289) = sK16(vd1287,sK2)
| ~ spl119_9
| ~ spl119_33
| ~ spl119_89 ),
inference(subsumption_resolution,[],[f2655,f1851]) ).
fof(f2655,plain,
( sK16(vd1287,vd1289) = sK16(vd1287,sK2)
| ~ rpoint(sK2)
| ~ spl119_33
| ~ spl119_89 ),
inference(subsumption_resolution,[],[f2652,f1984]) ).
fof(f2652,plain,
( sK16(vd1287,vd1289) = sK16(vd1287,sK2)
| ~ rpoint(vd1287)
| ~ rpoint(sK2)
| ~ spl119_89 ),
inference(superposition,[],[f964,f2569]) ).
fof(f2569,plain,
( vf(vd1287,sK2) = sK16(vd1287,vd1289)
| ~ spl119_89 ),
inference(avatar_component_clause,[],[f2567]) ).
fof(f2727,plain,
( spl119_104
| ~ spl119_9
| ~ spl119_33
| ~ spl119_89 ),
inference(avatar_split_clause,[],[f2705,f2567,f1982,f1849,f2724]) ).
fof(f2705,plain,
( vf(vd1287,sK2) = sK16(vd1287,sK2)
| ~ spl119_9
| ~ spl119_33
| ~ spl119_89 ),
inference(backward_demodulation,[],[f2569,f2654]) ).
fof(f2654,plain,
( sK16(vd1287,vd1289) = sK16(vd1287,sK2)
| ~ spl119_9
| ~ spl119_33
| ~ spl119_89 ),
inference(subsumption_resolution,[],[f2653,f1851]) ).
fof(f2653,plain,
( sK16(vd1287,vd1289) = sK16(vd1287,sK2)
| ~ rpoint(sK2)
| ~ spl119_33
| ~ spl119_89 ),
inference(subsumption_resolution,[],[f2651,f1984]) ).
fof(f2651,plain,
( sK16(vd1287,vd1289) = sK16(vd1287,sK2)
| ~ rpoint(vd1287)
| ~ rpoint(sK2)
| ~ spl119_89 ),
inference(superposition,[],[f2569,f964]) ).
fof(f2716,plain,
( spl119_103
| ~ spl119_9
| ~ spl119_33
| ~ spl119_89
| ~ spl119_90 ),
inference(avatar_split_clause,[],[f2706,f2572,f2567,f1982,f1849,f2713]) ).
fof(f2572,plain,
( spl119_90
<=> vf(vd1287,vd1289) = sK16(vd1287,vd1289) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_90])]) ).
fof(f2706,plain,
( vf(vd1287,vd1289) = sK16(vd1287,sK2)
| ~ spl119_9
| ~ spl119_33
| ~ spl119_89
| ~ spl119_90 ),
inference(backward_demodulation,[],[f2574,f2654]) ).
fof(f2574,plain,
( vf(vd1287,vd1289) = sK16(vd1287,vd1289)
| ~ spl119_90 ),
inference(avatar_component_clause,[],[f2572]) ).
fof(f2704,plain,
( spl119_98
| ~ spl119_5
| ~ spl119_33
| ~ spl119_86 ),
inference(avatar_split_clause,[],[f2645,f2548,f1982,f1829,f2676]) ).
fof(f2548,plain,
( spl119_86
<=> vf(vd1287,vd1300) = sK16(vd1287,vd1306) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_86])]) ).
fof(f2645,plain,
( sK16(vd1287,vd1306) = sK16(vd1287,vd1300)
| ~ spl119_5
| ~ spl119_33
| ~ spl119_86 ),
inference(subsumption_resolution,[],[f2644,f1831]) ).
fof(f2644,plain,
( sK16(vd1287,vd1306) = sK16(vd1287,vd1300)
| ~ rpoint(vd1300)
| ~ spl119_33
| ~ spl119_86 ),
inference(subsumption_resolution,[],[f2641,f1984]) ).
fof(f2641,plain,
( sK16(vd1287,vd1306) = sK16(vd1287,vd1300)
| ~ rpoint(vd1287)
| ~ rpoint(vd1300)
| ~ spl119_86 ),
inference(superposition,[],[f964,f2550]) ).
fof(f2550,plain,
( vf(vd1287,vd1300) = sK16(vd1287,vd1306)
| ~ spl119_86 ),
inference(avatar_component_clause,[],[f2548]) ).
fof(f2701,plain,
( spl119_101
| ~ spl119_5
| ~ spl119_33
| ~ spl119_86 ),
inference(avatar_split_clause,[],[f2672,f2548,f1982,f1829,f2698]) ).
fof(f2672,plain,
( vf(vd1287,vd1300) = sK16(vd1287,vd1300)
| ~ spl119_5
| ~ spl119_33
| ~ spl119_86 ),
inference(backward_demodulation,[],[f2550,f2643]) ).
fof(f2643,plain,
( sK16(vd1287,vd1306) = sK16(vd1287,vd1300)
| ~ spl119_5
| ~ spl119_33
| ~ spl119_86 ),
inference(subsumption_resolution,[],[f2642,f1831]) ).
fof(f2642,plain,
( sK16(vd1287,vd1306) = sK16(vd1287,vd1300)
| ~ rpoint(vd1300)
| ~ spl119_33
| ~ spl119_86 ),
inference(subsumption_resolution,[],[f2640,f1984]) ).
fof(f2640,plain,
( sK16(vd1287,vd1306) = sK16(vd1287,vd1300)
| ~ rpoint(vd1287)
| ~ rpoint(vd1300)
| ~ spl119_86 ),
inference(superposition,[],[f2550,f964]) ).
fof(f2684,plain,
( spl119_99
| ~ spl119_5
| ~ spl119_33
| ~ spl119_86
| ~ spl119_88 ),
inference(avatar_split_clause,[],[f2673,f2558,f2548,f1982,f1829,f2681]) ).
fof(f2558,plain,
( spl119_88
<=> vf(vd1287,vd1306) = sK16(vd1287,vd1306) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_88])]) ).
fof(f2673,plain,
( vf(vd1287,vd1306) = sK16(vd1287,vd1300)
| ~ spl119_5
| ~ spl119_33
| ~ spl119_86
| ~ spl119_88 ),
inference(backward_demodulation,[],[f2560,f2643]) ).
fof(f2560,plain,
( vf(vd1287,vd1306) = sK16(vd1287,vd1306)
| ~ spl119_88 ),
inference(avatar_component_clause,[],[f2558]) ).
fof(f2583,plain,
( spl119_86
| ~ spl119_6
| ~ spl119_33
| ~ spl119_65 ),
inference(avatar_split_clause,[],[f2451,f2263,f1982,f1834,f2548]) ).
fof(f2263,plain,
( spl119_65
<=> vf(vd1287,vd1306) = vf(vd1287,vd1300) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_65])]) ).
fof(f2451,plain,
( vf(vd1287,vd1300) = sK16(vd1287,vd1306)
| ~ spl119_6
| ~ spl119_33
| ~ spl119_65 ),
inference(subsumption_resolution,[],[f2450,f1836]) ).
fof(f2450,plain,
( vf(vd1287,vd1300) = sK16(vd1287,vd1306)
| ~ rpoint(vd1306)
| ~ spl119_33
| ~ spl119_65 ),
inference(subsumption_resolution,[],[f2421,f1984]) ).
fof(f2421,plain,
( vf(vd1287,vd1300) = sK16(vd1287,vd1306)
| ~ rpoint(vd1287)
| ~ rpoint(vd1306)
| ~ spl119_65 ),
inference(superposition,[],[f2265,f964]) ).
fof(f2265,plain,
( vf(vd1287,vd1306) = vf(vd1287,vd1300)
| ~ spl119_65 ),
inference(avatar_component_clause,[],[f2263]) ).
fof(f2582,plain,
( spl119_89
| ~ spl119_30
| ~ spl119_33
| ~ spl119_67 ),
inference(avatar_split_clause,[],[f2449,f2273,f1982,f1966,f2567]) ).
fof(f2273,plain,
( spl119_67
<=> vf(vd1287,vd1289) = vf(vd1287,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_67])]) ).
fof(f2449,plain,
( vf(vd1287,sK2) = sK16(vd1287,vd1289)
| ~ spl119_30
| ~ spl119_33
| ~ spl119_67 ),
inference(subsumption_resolution,[],[f2448,f1968]) ).
fof(f2448,plain,
( vf(vd1287,sK2) = sK16(vd1287,vd1289)
| ~ rpoint(vd1289)
| ~ spl119_33
| ~ spl119_67 ),
inference(subsumption_resolution,[],[f2420,f1984]) ).
fof(f2420,plain,
( vf(vd1287,sK2) = sK16(vd1287,vd1289)
| ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| ~ spl119_67 ),
inference(superposition,[],[f2275,f964]) ).
fof(f2275,plain,
( vf(vd1287,vd1289) = vf(vd1287,sK2)
| ~ spl119_67 ),
inference(avatar_component_clause,[],[f2273]) ).
fof(f2575,plain,
( spl119_90
| ~ spl119_30
| ~ spl119_33
| ~ spl119_67 ),
inference(avatar_split_clause,[],[f2565,f2273,f1982,f1966,f2572]) ).
fof(f2565,plain,
( vf(vd1287,vd1289) = sK16(vd1287,vd1289)
| ~ spl119_30
| ~ spl119_33
| ~ spl119_67 ),
inference(backward_demodulation,[],[f2275,f2439]) ).
fof(f2439,plain,
( vf(vd1287,sK2) = sK16(vd1287,vd1289)
| ~ spl119_30
| ~ spl119_33
| ~ spl119_67 ),
inference(subsumption_resolution,[],[f2438,f1968]) ).
fof(f2438,plain,
( vf(vd1287,sK2) = sK16(vd1287,vd1289)
| ~ rpoint(vd1289)
| ~ spl119_33
| ~ spl119_67 ),
inference(subsumption_resolution,[],[f2412,f1984]) ).
fof(f2412,plain,
( vf(vd1287,sK2) = sK16(vd1287,vd1289)
| ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| ~ spl119_67 ),
inference(superposition,[],[f964,f2275]) ).
fof(f2561,plain,
( spl119_88
| ~ spl119_6
| ~ spl119_33
| ~ spl119_65 ),
inference(avatar_split_clause,[],[f2546,f2263,f1982,f1834,f2558]) ).
fof(f2546,plain,
( vf(vd1287,vd1306) = sK16(vd1287,vd1306)
| ~ spl119_6
| ~ spl119_33
| ~ spl119_65 ),
inference(backward_demodulation,[],[f2265,f2437]) ).
fof(f2437,plain,
( vf(vd1287,vd1300) = sK16(vd1287,vd1306)
| ~ spl119_6
| ~ spl119_33
| ~ spl119_65 ),
inference(subsumption_resolution,[],[f2436,f1836]) ).
fof(f2436,plain,
( vf(vd1287,vd1300) = sK16(vd1287,vd1306)
| ~ rpoint(vd1306)
| ~ spl119_33
| ~ spl119_65 ),
inference(subsumption_resolution,[],[f2411,f1984]) ).
fof(f2411,plain,
( vf(vd1287,vd1300) = sK16(vd1287,vd1306)
| ~ rpoint(vd1287)
| ~ rpoint(vd1306)
| ~ spl119_65 ),
inference(superposition,[],[f964,f2265]) ).
fof(f2496,plain,
( spl119_81
| ~ spl119_5
| ~ spl119_9
| ~ spl119_79 ),
inference(avatar_split_clause,[],[f2491,f2475,f1849,f1829,f2493]) ).
fof(f2475,plain,
( spl119_79
<=> sF117 = sK16(sK2,vd1300) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_79])]) ).
fof(f2491,plain,
( rreal(sF117)
| ~ spl119_5
| ~ spl119_9
| ~ spl119_79 ),
inference(subsumption_resolution,[],[f2490,f1831]) ).
fof(f2490,plain,
( rreal(sF117)
| ~ rpoint(vd1300)
| ~ spl119_9
| ~ spl119_79 ),
inference(subsumption_resolution,[],[f2489,f1851]) ).
fof(f2489,plain,
( rreal(sF117)
| ~ rpoint(sK2)
| ~ rpoint(vd1300)
| ~ spl119_79 ),
inference(superposition,[],[f962,f2477]) ).
fof(f2477,plain,
( sF117 = sK16(sK2,vd1300)
| ~ spl119_79 ),
inference(avatar_component_clause,[],[f2475]) ).
fof(f2488,plain,
( spl119_80
| ~ spl119_6
| ~ spl119_30
| ~ spl119_78 ),
inference(avatar_split_clause,[],[f2483,f2470,f1966,f1834,f2485]) ).
fof(f2470,plain,
( spl119_78
<=> sF118 = sK16(vd1289,vd1306) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_78])]) ).
fof(f2483,plain,
( rreal(sF118)
| ~ spl119_6
| ~ spl119_30
| ~ spl119_78 ),
inference(subsumption_resolution,[],[f2482,f1836]) ).
fof(f2482,plain,
( rreal(sF118)
| ~ rpoint(vd1306)
| ~ spl119_30
| ~ spl119_78 ),
inference(subsumption_resolution,[],[f2481,f1968]) ).
fof(f2481,plain,
( rreal(sF118)
| ~ rpoint(vd1289)
| ~ rpoint(vd1306)
| ~ spl119_78 ),
inference(superposition,[],[f962,f2472]) ).
fof(f2472,plain,
( sF118 = sK16(vd1289,vd1306)
| ~ spl119_78 ),
inference(avatar_component_clause,[],[f2470]) ).
fof(f2480,plain,
( spl119_79
| ~ spl119_5
| ~ spl119_9
| ~ spl119_54 ),
inference(avatar_split_clause,[],[f2457,f2098,f1849,f1829,f2475]) ).
fof(f2457,plain,
( sF117 = sK16(sK2,vd1300)
| ~ spl119_5
| ~ spl119_9
| ~ spl119_54 ),
inference(subsumption_resolution,[],[f2456,f1831]) ).
fof(f2456,plain,
( sF117 = sK16(sK2,vd1300)
| ~ rpoint(vd1300)
| ~ spl119_9
| ~ spl119_54 ),
inference(subsumption_resolution,[],[f2424,f1851]) ).
fof(f2424,plain,
( sF117 = sK16(sK2,vd1300)
| ~ rpoint(sK2)
| ~ rpoint(vd1300)
| ~ spl119_54 ),
inference(superposition,[],[f2100,f964]) ).
fof(f2479,plain,
( spl119_78
| ~ spl119_6
| ~ spl119_30
| ~ spl119_53 ),
inference(avatar_split_clause,[],[f2445,f2093,f1966,f1834,f2470]) ).
fof(f2445,plain,
( sF118 = sK16(vd1289,vd1306)
| ~ spl119_6
| ~ spl119_30
| ~ spl119_53 ),
inference(subsumption_resolution,[],[f2444,f1836]) ).
fof(f2444,plain,
( sF118 = sK16(vd1289,vd1306)
| ~ rpoint(vd1306)
| ~ spl119_30
| ~ spl119_53 ),
inference(subsumption_resolution,[],[f2418,f1968]) ).
fof(f2418,plain,
( sF118 = sK16(vd1289,vd1306)
| ~ rpoint(vd1289)
| ~ rpoint(vd1306)
| ~ spl119_53 ),
inference(superposition,[],[f2095,f964]) ).
fof(f2462,plain,
( spl119_77
| ~ spl119_5
| ~ spl119_9
| ~ spl119_54 ),
inference(avatar_split_clause,[],[f2400,f2098,f1849,f1829,f2402]) ).
fof(f2400,plain,
( sF117 = vf(vd1300,sK2)
| ~ spl119_5
| ~ spl119_9
| ~ spl119_54 ),
inference(subsumption_resolution,[],[f2399,f1831]) ).
fof(f2399,plain,
( sF117 = vf(vd1300,sK2)
| ~ rpoint(vd1300)
| ~ spl119_9
| ~ spl119_54 ),
inference(subsumption_resolution,[],[f2392,f1851]) ).
fof(f2392,plain,
( sF117 = vf(vd1300,sK2)
| ~ rpoint(sK2)
| ~ rpoint(vd1300)
| ~ spl119_54 ),
inference(superposition,[],[f2100,f949]) ).
fof(f2276,plain,
( spl119_67
| ~ spl119_31 ),
inference(avatar_split_clause,[],[f2108,f1971,f2273]) ).
fof(f1971,plain,
( spl119_31
<=> vd1288 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_31])]) ).
fof(f2108,plain,
( vf(vd1287,vd1289) = vf(vd1287,sK2)
| ~ spl119_31 ),
inference(forward_demodulation,[],[f649,f1973]) ).
fof(f1973,plain,
( vd1288 = sK2
| ~ spl119_31 ),
inference(avatar_component_clause,[],[f1971]) ).
fof(f649,plain,
vf(vd1287,vd1288) = vf(vd1287,vd1289),
inference(cnf_transformation,[],[f486]) ).
fof(f486,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])],[f156,f485,f484,f483]) ).
fof(f483,plain,
( ? [X0] :
( rpoint(X0)
& vd1287 = X0 )
=> ( rpoint(sK1)
& vd1287 = sK1 ) ),
introduced(choice_axiom,[]) ).
fof(f484,plain,
( ? [X1] :
( rpoint(X1)
& vd1288 = X1 )
=> ( rpoint(sK2)
& vd1288 = sK2 ) ),
introduced(choice_axiom,[]) ).
fof(f485,plain,
( ? [X2] :
( rpoint(X2)
& vd1289 = X2 )
=> ( rpoint(sK3)
& vd1289 = sK3 ) ),
introduced(choice_axiom,[]) ).
fof(f156,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,[],[f8]) ).
fof(f8,axiom,
( ? [X2] :
( rpoint(X2)
& vd1287 = X2 )
& ? [X1] :
( rpoint(X1)
& vd1288 = X1 )
& ? [X0] :
( rpoint(X0)
& vd1289 = X0 )
& vd1288 != vd1287
& vd1289 != vd1287
& vd1288 != vd1289
& vf(vd1287,vd1288) = vf(vd1287,vd1289) ),
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','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(f2266,plain,
( spl119_65
| ~ spl119_18 ),
inference(avatar_split_clause,[],[f2106,f1896,f2263]) ).
fof(f1896,plain,
( spl119_18
<=> vd1299 = vd1300 ),
introduced(avatar_definition,[new_symbols(naming,[spl119_18])]) ).
fof(f2106,plain,
( vf(vd1287,vd1306) = vf(vd1287,vd1300)
| ~ spl119_18 ),
inference(forward_demodulation,[],[f638,f1898]) ).
fof(f1898,plain,
( vd1299 = vd1300
| ~ spl119_18 ),
inference(avatar_component_clause,[],[f1896]) ).
fof(f638,plain,
vf(vd1287,vd1299) = vf(vd1287,vd1306),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
vf(vd1287,vd1299) = vf(vd1287,vd1306),
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','holds(conjunct2(352), 1308, 0)') ).
fof(f2101,plain,
( spl119_54
| ~ spl119_18
| ~ spl119_31 ),
inference(avatar_split_clause,[],[f2091,f1971,f1896,f2098]) ).
fof(f2091,plain,
( sF117 = vf(sK2,vd1300)
| ~ spl119_18
| ~ spl119_31 ),
inference(forward_demodulation,[],[f2090,f1973]) ).
fof(f2090,plain,
( sF117 = vf(vd1288,vd1300)
| ~ spl119_18 ),
inference(forward_demodulation,[],[f1801,f1898]) ).
fof(f1801,plain,
vf(vd1288,vd1299) = sF117,
introduced(function_definition,[]) ).
fof(f2096,plain,
spl119_53,
inference(avatar_split_clause,[],[f1802,f2093]) ).
fof(f1802,plain,
vf(vd1289,vd1306) = sF118,
introduced(function_definition,[]) ).
fof(f2089,plain,
( spl119_52
| ~ spl119_18
| ~ spl119_31 ),
inference(avatar_split_clause,[],[f2079,f1971,f1896,f2086]) ).
fof(f2079,plain,
( rR(sK2,vd1287,vd1300)
| ~ spl119_18
| ~ spl119_31 ),
inference(forward_demodulation,[],[f2078,f1973]) ).
fof(f2078,plain,
( rR(vd1288,vd1287,vd1300)
| ~ spl119_18 ),
inference(forward_demodulation,[],[f648,f1898]) ).
fof(f648,plain,
rR(vd1288,vd1287,vd1299),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
( rR(vd1288,vd1287,vd1299)
& rpoint(vd1303)
& rR(vd1289,vd1287,vd1302)
& vd1302 = vd1303 ),
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))') ).
fof(f2065,plain,
~ spl119_48,
inference(avatar_split_clause,[],[f633,f2062]) ).
fof(f633,plain,
~ rR(vd1287,vd1289,vd1306),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
~ rR(vd1287,vd1289,vd1306),
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','neg(neg(conjunct2(356)))') ).
fof(f1985,plain,
( spl119_33
| ~ spl119_10 ),
inference(avatar_split_clause,[],[f1975,f1854,f1982]) ).
fof(f1854,plain,
( spl119_10
<=> rpoint(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_10])]) ).
fof(f1975,plain,
( rpoint(vd1287)
| ~ spl119_10 ),
inference(backward_demodulation,[],[f1856,f657]) ).
fof(f657,plain,
vd1287 = sK1,
inference(cnf_transformation,[],[f486]) ).
fof(f1856,plain,
( rpoint(sK1)
| ~ spl119_10 ),
inference(avatar_component_clause,[],[f1854]) ).
fof(f1974,plain,
spl119_31,
inference(avatar_split_clause,[],[f655,f1971]) ).
fof(f655,plain,
vd1288 = sK2,
inference(cnf_transformation,[],[f486]) ).
fof(f1969,plain,
( spl119_30
| ~ spl119_8 ),
inference(avatar_split_clause,[],[f1959,f1844,f1966]) ).
fof(f1844,plain,
( spl119_8
<=> rpoint(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl119_8])]) ).
fof(f1959,plain,
( rpoint(vd1289)
| ~ spl119_8 ),
inference(backward_demodulation,[],[f1846,f653]) ).
fof(f653,plain,
vd1289 = sK3,
inference(cnf_transformation,[],[f486]) ).
fof(f1846,plain,
( rpoint(sK3)
| ~ spl119_8 ),
inference(avatar_component_clause,[],[f1844]) ).
fof(f1957,plain,
~ spl119_15,
inference(avatar_split_clause,[],[f651,f1881]) ).
fof(f651,plain,
vd1289 != vd1287,
inference(cnf_transformation,[],[f486]) ).
fof(f1940,plain,
spl119_25,
inference(avatar_split_clause,[],[f632,f1936]) ).
fof(f632,plain,
ron(vd1287,vd1297),
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
ron(vd1287,vd1297),
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','pred(conjunct1(conjunct2(conjunct2(354))), 0)') ).
fof(f1928,plain,
spl119_23,
inference(avatar_split_clause,[],[f628,f1924]) ).
fof(f628,plain,
ron(vd1289,vd1297),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
ron(vd1289,vd1297),
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','pred(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(354))))), 0)') ).
fof(f1916,plain,
spl119_21,
inference(avatar_split_clause,[],[f624,f1912]) ).
fof(f624,plain,
ron(vd1306,vd1297),
inference(cnf_transformation,[],[f50]) ).
fof(f50,axiom,
ron(vd1306,vd1297),
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','pred(conjunct1(353), 0)') ).
fof(f1899,plain,
spl119_18,
inference(avatar_split_clause,[],[f619,f1896]) ).
fof(f619,plain,
vd1299 = vd1300,
inference(cnf_transformation,[],[f51]) ).
fof(f51,axiom,
vd1299 = vd1300,
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','pred(348, 4)') ).
fof(f1894,plain,
spl119_17,
inference(avatar_split_clause,[],[f618,f1891]) ).
fof(f618,plain,
v0 = vd684,
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
v0 = vd684,
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','pred(axiom(137), 2)') ).
fof(f1878,plain,
~ spl119_13,
inference(avatar_split_clause,[],[f614,f1869]) ).
fof(f614,plain,
vd1306 != vd1287,
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
vd1306 != vd1287,
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','holds(conjunct2(conjunct2(conjunct2(355))), 1309, 0)') ).
fof(f1862,plain,
~ spl119_11,
inference(avatar_split_clause,[],[f1803,f1859]) ).
fof(f1803,plain,
sF117 != sF118,
inference(definition_folding,[],[f604,f1802,f1801]) ).
fof(f604,plain,
vf(vd1288,vd1299) != vf(vd1289,vd1306),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
vf(vd1288,vd1299) != vf(vd1289,vd1306),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
vf(vd1288,vd1299) != vf(vd1289,vd1306),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
vf(vd1288,vd1299) = vf(vd1289,vd1306),
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','holds(361, 1323, 0)') ).
fof(f1857,plain,
spl119_10,
inference(avatar_split_clause,[],[f658,f1854]) ).
fof(f658,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f486]) ).
fof(f1852,plain,
spl119_9,
inference(avatar_split_clause,[],[f656,f1849]) ).
fof(f656,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f486]) ).
fof(f1847,plain,
spl119_8,
inference(avatar_split_clause,[],[f654,f1844]) ).
fof(f654,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f486]) ).
fof(f1837,plain,
spl119_6,
inference(avatar_split_clause,[],[f610,f1834]) ).
fof(f610,plain,
rpoint(vd1306),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
rpoint(vd1306),
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','pred(352, 0)') ).
fof(f1832,plain,
spl119_5,
inference(avatar_split_clause,[],[f609,f1829]) ).
fof(f609,plain,
rpoint(vd1300),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
rpoint(vd1300),
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','pred(348, 1)') ).
fof(f1822,plain,
spl119_3,
inference(avatar_split_clause,[],[f607,f1819]) ).
fof(f607,plain,
rline(vd1297),
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
rline(vd1297),
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','pred(347, 0)') ).
fof(f1812,plain,
spl119_1,
inference(avatar_split_clause,[],[f605,f1809]) ).
fof(f605,plain,
rreal(vd684),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
rreal(vd684),
file('/export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809','pred(axiom(137), 1)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14 % Problem : GEO313+1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n009.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Aug 29 23:52:50 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.g0o94gU7Ya/Vampire---4.8_10809
% 0.16/0.37 % (10916)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (10919)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)
% 0.23/0.44 % (10921)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)
% 0.23/0.44 % (10917)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)
% 0.23/0.44 % (10920)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)
% 0.23/0.44 % (10923)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)
% 0.23/0.44 % (10918)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)
% 0.23/0.45 % (10922)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)
% 283.36/41.04 % (10923)Time limit reached!
% 283.36/41.04 % (10923)------------------------------
% 283.36/41.04 % (10923)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 283.36/41.04 % (10923)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 283.36/41.04 % (10923)Termination reason: Time limit
% 283.36/41.04 % (10923)Termination phase: Saturation
% 283.36/41.04
% 283.36/41.04 % (10923)Memory used [KB]: 20596
% 283.36/41.04 % (10923)Time elapsed: 40.600 s
% 283.36/41.04 % (10923)------------------------------
% 283.36/41.04 % (10923)------------------------------
% 283.95/41.08 % (10925)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)
% 291.89/42.24 % (10925)First to succeed.
% 291.89/42.25 % (10925)Refutation found. Thanks to Tanya!
% 291.89/42.25 % SZS status Theorem for Vampire---4
% 291.89/42.25 % SZS output start Proof for Vampire---4
% See solution above
% 291.89/42.25 % (10925)------------------------------
% 291.89/42.25 % (10925)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 291.89/42.25 % (10925)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 291.89/42.25 % (10925)Termination reason: Refutation
% 291.89/42.25
% 291.89/42.25 % (10925)Memory used [KB]: 29679
% 291.89/42.25 % (10925)Time elapsed: 1.167 s
% 291.89/42.25 % (10925)------------------------------
% 291.89/42.25 % (10925)------------------------------
% 291.89/42.25 % (10916)Success in time 41.866 s
% 291.89/42.25 % Vampire---4.8 exiting
%------------------------------------------------------------------------------