TSTP Solution File: GEO167+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO167+1 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.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 : Mon May 20 20:14:45 EDT 2024
% Result : Theorem 20.52s 3.29s
% Output : Refutation 20.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 208
% Syntax : Number of formulae : 1384 ( 54 unt; 0 def)
% Number of atoms : 3945 ( 0 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 4604 (2043 ~;2330 |; 28 &)
% ( 183 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 189 ( 188 usr; 185 prp; 0-4 aty)
% Number of functors : 19 ( 19 usr; 17 con; 0-3 aty)
% Number of variables : 624 ( 616 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f142273,plain,
$false,
inference(avatar_sat_refutation,[],[f101,f106,f111,f115,f116,f180,f189,f265,f382,f399,f407,f424,f439,f447,f465,f488,f508,f516,f528,f551,f559,f574,f582,f604,f660,f681,f689,f735,f743,f757,f777,f785,f802,f814,f845,f2028,f3222,f3312,f3349,f3450,f4080,f5184,f5350,f8011,f8404,f8499,f8511,f8642,f8643,f8703,f8705,f8816,f8840,f8928,f8930,f8965,f9074,f9165,f9200,f9286,f9448,f9450,f9558,f9685,f10086,f10697,f10699,f10902,f11402,f11404,f11440,f11583,f11878,f11879,f12037,f12406,f12411,f13230,f13298,f13325,f13395,f13666,f13750,f13854,f14717,f14723,f14750,f14752,f14753,f14779,f14781,f14782,f14811,f14813,f14869,f14992,f15311,f15315,f15359,f15517,f15976,f16679,f18348,f18551,f18614,f18752,f18784,f18816,f18932,f18934,f19137,f19260,f19264,f19478,f21329,f21332,f21475,f21495,f21535,f21742,f21791,f21855,f21965,f22138,f22235,f22256,f22292,f22342,f22398,f22645,f22887,f22902,f23270,f23313,f23443,f23574,f25440,f25489,f25492,f26093,f26095,f26101,f26384,f27386,f27551,f27557,f28109,f28115,f28383,f28410,f28412,f28430,f28731,f29044,f29172,f29899,f29901,f29939,f29964,f29984,f30116,f30195,f30307,f30328,f30332,f30726,f30811,f30944,f31862,f31866,f31896,f31959,f31964,f31993,f32520,f32988,f33271,f34045,f34054,f34069,f34081,f34097,f34107,f34108,f34109,f34375,f34466,f34478,f34503,f35163,f35217,f35268,f35269,f35289,f35407,f35527,f35530,f35555,f35865,f35868,f35872,f35914,f35926,f35930,f35988,f36251,f36332,f36635,f36646,f36851,f37130,f51325,f51774,f51819,f52006,f52133,f52359,f52404,f52725,f52857,f53161,f53298,f53528,f53796,f62581,f62583,f62611,f62659,f62668,f62806,f62814,f62975,f63827,f63870,f64430,f65372,f65376,f65410,f65413,f65466,f65468,f65663,f65773,f65777,f65967,f67118,f67122,f67144,f67201,f67275,f94229,f94245,f94303,f102607,f110401,f110417,f111251,f111321,f111954,f112013,f112315,f112318,f112368,f112691,f112714,f114364,f115527,f115553,f115684,f115805,f142209,f142211,f142213,f142256]) ).
fof(f142256,plain,
( ~ spl3_5
| ~ spl3_1581 ),
inference(avatar_contradiction_clause,[],[f142255]) ).
fof(f142255,plain,
( $false
| ~ spl3_5
| ~ spl3_1581 ),
inference(subsumption_resolution,[],[f142254,f142215]) ).
fof(f142215,plain,
( incident(h,sK2(g,h,i))
| ~ spl3_1581 ),
inference(resolution,[],[f12033,f90]) ).
fof(f90,plain,
! [X2,X3,X0,X1] :
( ~ colinear(X0,X1,X2,X3)
| incident(X1,X3) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( incident(X1,X3)
| ~ colinear(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1,X2,X3] :
( colinear(X0,X1,X2,X3)
=> incident(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity_elimination2) ).
fof(f12033,plain,
( colinear(g,h,i,sK2(g,h,i))
| ~ spl3_1581 ),
inference(avatar_component_clause,[],[f12031]) ).
fof(f12031,plain,
( spl3_1581
<=> colinear(g,h,i,sK2(g,h,i)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1581])]) ).
fof(f142254,plain,
( ~ incident(h,sK2(g,h,i))
| ~ spl3_5
| ~ spl3_1581 ),
inference(subsumption_resolution,[],[f142243,f142216]) ).
fof(f142216,plain,
( incident(g,sK2(g,h,i))
| ~ spl3_1581 ),
inference(resolution,[],[f12033,f89]) ).
fof(f89,plain,
! [X2,X3,X0,X1] :
( ~ colinear(X0,X1,X2,X3)
| incident(X0,X3) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2,X3] :
( incident(X0,X3)
| ~ colinear(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2,X3] :
( colinear(X0,X1,X2,X3)
=> incident(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity_elimination1) ).
fof(f142243,plain,
( ~ incident(g,sK2(g,h,i))
| ~ incident(h,sK2(g,h,i))
| ~ spl3_5
| ~ spl3_1581 ),
inference(resolution,[],[f142217,f167]) ).
fof(f167,plain,
( ! [X0] :
( ~ incident(i,X0)
| ~ incident(g,X0)
| ~ incident(h,X0) )
| ~ spl3_5 ),
inference(subsumption_resolution,[],[f114,f79]) ).
fof(f79,plain,
! [X0,X1] :
( ~ incident(X0,X1)
| line_equal(X1,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( line_equal(X1,X1)
| ~ incident(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( incident(X0,X1)
=> line_equal(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_line_equal) ).
fof(f114,plain,
( ! [X0] :
( ~ incident(i,X0)
| ~ line_equal(X0,X0)
| ~ incident(g,X0)
| ~ incident(h,X0) )
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl3_5
<=> ! [X0] :
( ~ incident(i,X0)
| ~ line_equal(X0,X0)
| ~ incident(g,X0)
| ~ incident(h,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f142217,plain,
( incident(i,sK2(g,h,i))
| ~ spl3_1581 ),
inference(resolution,[],[f12033,f88]) ).
fof(f88,plain,
! [X2,X3,X0,X1] :
( ~ colinear(X0,X1,X2,X3)
| incident(X2,X3) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2,X3] :
( incident(X2,X3)
| ~ colinear(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X2,X3] :
( colinear(X0,X1,X2,X3)
=> incident(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity_elimination3) ).
fof(f142213,plain,
~ spl3_9609,
inference(avatar_contradiction_clause,[],[f142212]) ).
fof(f142212,plain,
( $false
| ~ spl3_9609 ),
inference(resolution,[],[f142205,f67]) ).
fof(f67,plain,
colinear(c,e,g,o),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( colinear(c,e,g,o)
& colinear(b,f,g,n) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption2) ).
fof(f142205,plain,
( ! [X1] : ~ colinear(c,e,g,X1)
| ~ spl3_9609 ),
inference(avatar_component_clause,[],[f142204]) ).
fof(f142204,plain,
( spl3_9609
<=> ! [X1] : ~ colinear(c,e,g,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9609])]) ).
fof(f142211,plain,
~ spl3_9610,
inference(avatar_contradiction_clause,[],[f142210]) ).
fof(f142210,plain,
( $false
| ~ spl3_9610 ),
inference(resolution,[],[f142208,f70]) ).
fof(f70,plain,
colinear(c,d,i,r),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( colinear(a,f,i,s)
& colinear(c,d,i,r) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption4) ).
fof(f142208,plain,
( ! [X0] : ~ colinear(c,d,i,X0)
| ~ spl3_9610 ),
inference(avatar_component_clause,[],[f142207]) ).
fof(f142207,plain,
( spl3_9610
<=> ! [X0] : ~ colinear(c,d,i,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9610])]) ).
fof(f142209,plain,
( spl3_9609
| spl3_9610
| spl3_262
| spl3_294
| spl3_352
| spl3_397
| ~ spl3_1582 ),
inference(avatar_split_clause,[],[f142202,f12035,f2910,f2645,f2276,f2111,f142207,f142204]) ).
fof(f2111,plain,
( spl3_262
<=> incident(e,l) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_262])]) ).
fof(f2276,plain,
( spl3_294
<=> incident(f,l) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_294])]) ).
fof(f2645,plain,
( spl3_352
<=> incident(d,l) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_352])]) ).
fof(f2910,plain,
( spl3_397
<=> incident(c,m) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_397])]) ).
fof(f12035,plain,
( spl3_1582
<=> ! [X0,X3,X2,X1] :
( incident(X0,m)
| incident(e,X1)
| incident(d,X1)
| ~ colinear(X0,d,i,X3)
| ~ colinear(X0,e,g,X2)
| incident(f,X1)
| ~ colinear(a,b,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1582])]) ).
fof(f142202,plain,
( ! [X0,X1] :
( ~ colinear(c,d,i,X0)
| ~ colinear(c,e,g,X1) )
| spl3_262
| spl3_294
| spl3_352
| spl3_397
| ~ spl3_1582 ),
inference(subsumption_resolution,[],[f142201,f2912]) ).
fof(f2912,plain,
( ~ incident(c,m)
| spl3_397 ),
inference(avatar_component_clause,[],[f2910]) ).
fof(f142201,plain,
( ! [X0,X1] :
( ~ colinear(c,d,i,X0)
| ~ colinear(c,e,g,X1)
| incident(c,m) )
| spl3_262
| spl3_294
| spl3_352
| ~ spl3_1582 ),
inference(subsumption_resolution,[],[f142200,f2278]) ).
fof(f2278,plain,
( ~ incident(f,l)
| spl3_294 ),
inference(avatar_component_clause,[],[f2276]) ).
fof(f142200,plain,
( ! [X0,X1] :
( ~ colinear(c,d,i,X0)
| ~ colinear(c,e,g,X1)
| incident(f,l)
| incident(c,m) )
| spl3_262
| spl3_352
| ~ spl3_1582 ),
inference(subsumption_resolution,[],[f142199,f2647]) ).
fof(f2647,plain,
( ~ incident(d,l)
| spl3_352 ),
inference(avatar_component_clause,[],[f2645]) ).
fof(f142199,plain,
( ! [X0,X1] :
( incident(d,l)
| ~ colinear(c,d,i,X0)
| ~ colinear(c,e,g,X1)
| incident(f,l)
| incident(c,m) )
| spl3_262
| ~ spl3_1582 ),
inference(subsumption_resolution,[],[f142198,f2113]) ).
fof(f2113,plain,
( ~ incident(e,l)
| spl3_262 ),
inference(avatar_component_clause,[],[f2111]) ).
fof(f142198,plain,
( ! [X0,X1] :
( incident(e,l)
| incident(d,l)
| ~ colinear(c,d,i,X0)
| ~ colinear(c,e,g,X1)
| incident(f,l)
| incident(c,m) )
| ~ spl3_1582 ),
inference(resolution,[],[f12036,f64]) ).
fof(f64,plain,
colinear(a,b,c,l),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( colinear(d,e,f,m)
& colinear(a,b,c,l) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption1) ).
fof(f12036,plain,
( ! [X2,X3,X0,X1] :
( ~ colinear(a,b,X0,X1)
| incident(e,X1)
| incident(d,X1)
| ~ colinear(X0,d,i,X3)
| ~ colinear(X0,e,g,X2)
| incident(f,X1)
| incident(X0,m) )
| ~ spl3_1582 ),
inference(avatar_component_clause,[],[f12035]) ).
fof(f115805,plain,
( ~ spl3_434
| ~ spl3_48
| spl3_435 ),
inference(avatar_split_clause,[],[f115804,f3119,f576,f3115]) ).
fof(f3115,plain,
( spl3_434
<=> incident(g,m) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_434])]) ).
fof(f576,plain,
( spl3_48
<=> ! [X0] :
( point_equal(X0,f)
| ~ incident(X0,n)
| ~ incident(X0,m) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_48])]) ).
fof(f3119,plain,
( spl3_435
<=> point_equal(g,f) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_435])]) ).
fof(f115804,plain,
( ~ incident(g,m)
| ~ spl3_48
| spl3_435 ),
inference(subsumption_resolution,[],[f115747,f3120]) ).
fof(f3120,plain,
( ~ point_equal(g,f)
| spl3_435 ),
inference(avatar_component_clause,[],[f3119]) ).
fof(f115747,plain,
( point_equal(g,f)
| ~ incident(g,m)
| ~ spl3_48 ),
inference(resolution,[],[f577,f120]) ).
fof(f120,plain,
incident(g,n),
inference(resolution,[],[f88,f66]) ).
fof(f66,plain,
colinear(b,f,g,n),
inference(cnf_transformation,[],[f2]) ).
fof(f577,plain,
( ! [X0] :
( ~ incident(X0,n)
| point_equal(X0,f)
| ~ incident(X0,m) )
| ~ spl3_48 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f115684,plain,
( ~ spl3_330
| ~ spl3_30
| spl3_78 ),
inference(avatar_split_clause,[],[f115683,f782,f463,f2500]) ).
fof(f2500,plain,
( spl3_330
<=> incident(b,r) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_330])]) ).
fof(f463,plain,
( spl3_30
<=> ! [X0] :
( line_equal(X0,p)
| ~ incident(d,X0)
| ~ incident(b,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_30])]) ).
fof(f782,plain,
( spl3_78
<=> line_equal(r,p) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_78])]) ).
fof(f115683,plain,
( ~ incident(b,r)
| ~ spl3_30
| spl3_78 ),
inference(subsumption_resolution,[],[f115665,f783]) ).
fof(f783,plain,
( ~ line_equal(r,p)
| spl3_78 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f115665,plain,
( line_equal(r,p)
| ~ incident(b,r)
| ~ spl3_30 ),
inference(resolution,[],[f464,f143]) ).
fof(f143,plain,
incident(d,r),
inference(resolution,[],[f90,f70]) ).
fof(f464,plain,
( ! [X0] :
( ~ incident(d,X0)
| line_equal(X0,p)
| ~ incident(b,X0) )
| ~ spl3_30 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f115553,plain,
( ~ spl3_533
| spl3_1290 ),
inference(avatar_contradiction_clause,[],[f115552]) ).
fof(f115552,plain,
( $false
| ~ spl3_533
| spl3_1290 ),
inference(subsumption_resolution,[],[f115525,f8010]) ).
fof(f8010,plain,
( ~ incident(g,sK0(e,i))
| spl3_1290 ),
inference(avatar_component_clause,[],[f8008]) ).
fof(f8008,plain,
( spl3_1290
<=> incident(g,sK0(e,i)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1290])]) ).
fof(f115525,plain,
( incident(g,sK0(e,i))
| ~ spl3_533 ),
inference(resolution,[],[f112760,f2066]) ).
fof(f2066,plain,
incident(e,sK0(e,i)),
inference(resolution,[],[f344,f146]) ).
fof(f146,plain,
point_equal(i,i),
inference(resolution,[],[f119,f78]) ).
fof(f78,plain,
! [X0,X1] :
( ~ incident(X0,X1)
| point_equal(X0,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( point_equal(X0,X0)
| ~ incident(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( incident(X0,X1)
=> point_equal(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_point_equal) ).
fof(f119,plain,
incident(i,s),
inference(resolution,[],[f88,f71]) ).
fof(f71,plain,
colinear(a,f,i,s),
inference(cnf_transformation,[],[f4]) ).
fof(f344,plain,
! [X0] :
( ~ point_equal(X0,X0)
| incident(e,sK0(e,X0)) ),
inference(resolution,[],[f223,f80]) ).
fof(f80,plain,
! [X0,X1] :
( ~ point_equal(X0,X0)
| ~ point_equal(X1,X1)
| incident(X0,sK0(X0,X1)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ( incident(X1,sK0(X0,X1))
& incident(X0,sK0(X0,X1)) )
| ~ point_equal(X1,X1)
| ~ point_equal(X0,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f38,f56]) ).
fof(f56,plain,
! [X0,X1] :
( ? [X2] :
( incident(X1,X2)
& incident(X0,X2) )
=> ( incident(X1,sK0(X0,X1))
& incident(X0,sK0(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X0,X1] :
( ? [X2] :
( incident(X1,X2)
& incident(X0,X2) )
| ~ point_equal(X1,X1)
| ~ point_equal(X0,X0) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ? [X2] :
( incident(X1,X2)
& incident(X0,X2) )
| ~ point_equal(X1,X1)
| ~ point_equal(X0,X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ( point_equal(X1,X1)
& point_equal(X0,X0) )
=> ? [X2] :
( incident(X1,X2)
& incident(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',line) ).
fof(f223,plain,
point_equal(e,e),
inference(resolution,[],[f138,f78]) ).
fof(f138,plain,
incident(e,q),
inference(resolution,[],[f90,f69]) ).
fof(f69,plain,
colinear(a,e,h,q),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( colinear(a,e,h,q)
& colinear(b,d,h,p) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption3) ).
fof(f112760,plain,
( ! [X0] :
( ~ incident(e,X0)
| incident(g,X0) )
| ~ spl3_533 ),
inference(resolution,[],[f3690,f83]) ).
fof(f83,plain,
! [X2,X0,X1] :
( ~ point_equal(X0,X1)
| ~ incident(X1,X2)
| incident(X0,X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2] :
( incident(X0,X2)
| ~ incident(X1,X2)
| ~ point_equal(X0,X1) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( incident(X0,X2)
| ~ incident(X1,X2)
| ~ point_equal(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1,X2] :
( ( incident(X1,X2)
& point_equal(X0,X1) )
=> incident(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pcon) ).
fof(f3690,plain,
( point_equal(g,e)
| ~ spl3_533 ),
inference(avatar_component_clause,[],[f3688]) ).
fof(f3688,plain,
( spl3_533
<=> point_equal(g,e) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_533])]) ).
fof(f115527,plain,
( spl3_532
| ~ spl3_533 ),
inference(avatar_contradiction_clause,[],[f115526]) ).
fof(f115526,plain,
( $false
| spl3_532
| ~ spl3_533 ),
inference(subsumption_resolution,[],[f115508,f3686]) ).
fof(f3686,plain,
( ~ incident(g,q)
| spl3_532 ),
inference(avatar_component_clause,[],[f3684]) ).
fof(f3684,plain,
( spl3_532
<=> incident(g,q) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_532])]) ).
fof(f115508,plain,
( incident(g,q)
| ~ spl3_533 ),
inference(resolution,[],[f112760,f138]) ).
fof(f114364,plain,
( spl3_311
| ~ spl3_297 ),
inference(avatar_split_clause,[],[f114342,f2289,f2374]) ).
fof(f2374,plain,
( spl3_311
<=> incident(i,q) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_311])]) ).
fof(f2289,plain,
( spl3_297
<=> point_equal(i,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_297])]) ).
fof(f114342,plain,
( incident(i,q)
| ~ spl3_297 ),
inference(resolution,[],[f111853,f128]) ).
fof(f128,plain,
incident(a,q),
inference(resolution,[],[f89,f69]) ).
fof(f111853,plain,
( ! [X0] :
( ~ incident(a,X0)
| incident(i,X0) )
| ~ spl3_297 ),
inference(resolution,[],[f2291,f83]) ).
fof(f2291,plain,
( point_equal(i,a)
| ~ spl3_297 ),
inference(avatar_component_clause,[],[f2289]) ).
fof(f112714,plain,
( spl3_2229
| spl3_81
| ~ spl3_434 ),
inference(avatar_split_clause,[],[f112713,f3115,f799,f21835]) ).
fof(f21835,plain,
( spl3_2229
<=> ! [X0] :
( point_equal(X0,g)
| ~ incident(X0,m)
| ~ incident(X0,o) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2229])]) ).
fof(f799,plain,
( spl3_81
<=> line_equal(m,o) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_81])]) ).
fof(f112713,plain,
( ! [X0] :
( point_equal(X0,g)
| ~ incident(X0,o)
| ~ incident(X0,m) )
| spl3_81
| ~ spl3_434 ),
inference(subsumption_resolution,[],[f112699,f800]) ).
fof(f800,plain,
( ~ line_equal(m,o)
| spl3_81 ),
inference(avatar_component_clause,[],[f799]) ).
fof(f112699,plain,
( ! [X0] :
( line_equal(m,o)
| point_equal(X0,g)
| ~ incident(X0,o)
| ~ incident(X0,m) )
| ~ spl3_434 ),
inference(resolution,[],[f3116,f205]) ).
fof(f205,plain,
! [X0,X1] :
( ~ incident(g,X1)
| line_equal(X1,o)
| point_equal(X0,g)
| ~ incident(X0,o)
| ~ incident(X0,X1) ),
inference(resolution,[],[f91,f122]) ).
fof(f122,plain,
incident(g,o),
inference(resolution,[],[f88,f67]) ).
fof(f91,plain,
! [X2,X3,X0,X1] :
( ~ incident(X3,X1)
| point_equal(X2,X3)
| line_equal(X0,X1)
| ~ incident(X3,X0)
| ~ incident(X2,X1)
| ~ incident(X2,X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2,X3] :
( line_equal(X0,X1)
| point_equal(X2,X3)
| ~ incident(X3,X1)
| ~ incident(X3,X0)
| ~ incident(X2,X1)
| ~ incident(X2,X0) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2,X3] :
( line_equal(X0,X1)
| point_equal(X2,X3)
| ~ incident(X3,X1)
| ~ incident(X3,X0)
| ~ incident(X2,X1)
| ~ incident(X2,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1,X2,X3] :
( ( incident(X3,X1)
& incident(X3,X0)
& incident(X2,X1)
& incident(X2,X0) )
=> ( line_equal(X0,X1)
| point_equal(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique) ).
fof(f3116,plain,
( incident(g,m)
| ~ spl3_434 ),
inference(avatar_component_clause,[],[f3115]) ).
fof(f112691,plain,
( spl3_2419
| ~ spl3_12
| spl3_43 ),
inference(avatar_split_clause,[],[f112690,f548,f278,f27554]) ).
fof(f27554,plain,
( spl3_2419
<=> ! [X0] :
( point_equal(X0,b)
| ~ incident(X0,p)
| ~ incident(X0,m) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2419])]) ).
fof(f278,plain,
( spl3_12
<=> incident(b,m) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f548,plain,
( spl3_43
<=> line_equal(p,m) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_43])]) ).
fof(f112690,plain,
( ! [X0] :
( point_equal(X0,b)
| ~ incident(X0,m)
| ~ incident(X0,p) )
| ~ spl3_12
| spl3_43 ),
inference(subsumption_resolution,[],[f112658,f549]) ).
fof(f549,plain,
( ~ line_equal(p,m)
| spl3_43 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f112658,plain,
( ! [X0] :
( line_equal(p,m)
| point_equal(X0,b)
| ~ incident(X0,m)
| ~ incident(X0,p) )
| ~ spl3_12 ),
inference(resolution,[],[f112645,f131]) ).
fof(f131,plain,
incident(b,p),
inference(resolution,[],[f89,f68]) ).
fof(f68,plain,
colinear(b,d,h,p),
inference(cnf_transformation,[],[f3]) ).
fof(f112645,plain,
( ! [X0,X1] :
( ~ incident(b,X1)
| line_equal(X1,m)
| point_equal(X0,b)
| ~ incident(X0,m)
| ~ incident(X0,X1) )
| ~ spl3_12 ),
inference(resolution,[],[f280,f91]) ).
fof(f280,plain,
( incident(b,m)
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f112368,plain,
( ~ spl3_454
| spl3_263
| ~ spl3_3923 ),
inference(avatar_split_clause,[],[f112367,f65775,f2115,f3224]) ).
fof(f3224,plain,
( spl3_454
<=> incident(e,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_454])]) ).
fof(f2115,plain,
( spl3_263
<=> point_equal(e,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_263])]) ).
fof(f65775,plain,
( spl3_3923
<=> ! [X0] :
( point_equal(X0,a)
| ~ incident(X0,n)
| ~ incident(X0,q) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3923])]) ).
fof(f112367,plain,
( ~ incident(e,n)
| spl3_263
| ~ spl3_3923 ),
inference(subsumption_resolution,[],[f71246,f138]) ).
fof(f71246,plain,
( ~ incident(e,n)
| ~ incident(e,q)
| spl3_263
| ~ spl3_3923 ),
inference(resolution,[],[f65776,f2116]) ).
fof(f2116,plain,
( ~ point_equal(e,a)
| spl3_263 ),
inference(avatar_component_clause,[],[f2115]) ).
fof(f65776,plain,
( ! [X0] :
( point_equal(X0,a)
| ~ incident(X0,n)
| ~ incident(X0,q) )
| ~ spl3_3923 ),
inference(avatar_component_clause,[],[f65775]) ).
fof(f112318,plain,
( ~ spl3_12
| spl3_73
| ~ spl3_26 ),
inference(avatar_split_clause,[],[f111908,f437,f749,f278]) ).
fof(f749,plain,
( spl3_73
<=> line_equal(m,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_73])]) ).
fof(f437,plain,
( spl3_26
<=> ! [X0] :
( line_equal(X0,n)
| ~ incident(f,X0)
| ~ incident(b,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_26])]) ).
fof(f111908,plain,
( line_equal(m,n)
| ~ incident(b,m)
| ~ spl3_26 ),
inference(resolution,[],[f438,f124]) ).
fof(f124,plain,
incident(f,m),
inference(resolution,[],[f88,f65]) ).
fof(f65,plain,
colinear(d,e,f,m),
inference(cnf_transformation,[],[f1]) ).
fof(f438,plain,
( ! [X0] :
( ~ incident(f,X0)
| line_equal(X0,n)
| ~ incident(b,X0) )
| ~ spl3_26 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f112315,plain,
( ~ spl3_48
| ~ spl3_1408
| spl3_2230 ),
inference(avatar_contradiction_clause,[],[f112314]) ).
fof(f112314,plain,
( $false
| ~ spl3_48
| ~ spl3_1408
| spl3_2230 ),
inference(subsumption_resolution,[],[f112313,f134]) ).
fof(f134,plain,
incident(d,m),
inference(resolution,[],[f89,f65]) ).
fof(f112313,plain,
( ~ incident(d,m)
| ~ spl3_48
| ~ spl3_1408
| spl3_2230 ),
inference(subsumption_resolution,[],[f112302,f21844]) ).
fof(f21844,plain,
( ~ point_equal(d,f)
| spl3_2230 ),
inference(avatar_component_clause,[],[f21843]) ).
fof(f21843,plain,
( spl3_2230
<=> point_equal(d,f) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2230])]) ).
fof(f112302,plain,
( point_equal(d,f)
| ~ incident(d,m)
| ~ spl3_48
| ~ spl3_1408 ),
inference(resolution,[],[f9738,f577]) ).
fof(f9738,plain,
( incident(d,n)
| ~ spl3_1408 ),
inference(avatar_component_clause,[],[f9737]) ).
fof(f9737,plain,
( spl3_1408
<=> incident(d,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1408])]) ).
fof(f112013,plain,
( ~ spl3_379
| ~ spl3_42
| spl3_380 ),
inference(avatar_split_clause,[],[f112012,f2814,f545,f2810]) ).
fof(f2810,plain,
( spl3_379
<=> incident(h,m) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_379])]) ).
fof(f545,plain,
( spl3_42
<=> ! [X0] :
( point_equal(X0,d)
| ~ incident(X0,p)
| ~ incident(X0,m) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_42])]) ).
fof(f2814,plain,
( spl3_380
<=> point_equal(h,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_380])]) ).
fof(f112012,plain,
( ~ incident(h,m)
| ~ spl3_42
| spl3_380 ),
inference(subsumption_resolution,[],[f111959,f2815]) ).
fof(f2815,plain,
( ~ point_equal(h,d)
| spl3_380 ),
inference(avatar_component_clause,[],[f2814]) ).
fof(f111959,plain,
( point_equal(h,d)
| ~ incident(h,m)
| ~ spl3_42 ),
inference(resolution,[],[f546,f121]) ).
fof(f121,plain,
incident(h,p),
inference(resolution,[],[f88,f68]) ).
fof(f546,plain,
( ! [X0] :
( ~ incident(X0,p)
| point_equal(X0,d)
| ~ incident(X0,m) )
| ~ spl3_42 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f111954,plain,
( spl3_1977
| ~ spl3_77
| ~ spl3_330 ),
inference(avatar_split_clause,[],[f111953,f2500,f779,f17186]) ).
fof(f17186,plain,
( spl3_1977
<=> point_equal(b,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1977])]) ).
fof(f779,plain,
( spl3_77
<=> ! [X0] :
( point_equal(X0,d)
| ~ incident(X0,r)
| ~ incident(X0,p) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_77])]) ).
fof(f111953,plain,
( point_equal(b,d)
| ~ spl3_77
| ~ spl3_330 ),
inference(subsumption_resolution,[],[f111944,f131]) ).
fof(f111944,plain,
( point_equal(b,d)
| ~ incident(b,p)
| ~ spl3_77
| ~ spl3_330 ),
inference(resolution,[],[f2501,f780]) ).
fof(f780,plain,
( ! [X0] :
( ~ incident(X0,r)
| point_equal(X0,d)
| ~ incident(X0,p) )
| ~ spl3_77 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f2501,plain,
( incident(b,r)
| ~ spl3_330 ),
inference(avatar_component_clause,[],[f2500]) ).
fof(f111321,plain,
( ~ spl3_12
| spl3_2248
| ~ spl3_48 ),
inference(avatar_split_clause,[],[f63517,f576,f22679,f278]) ).
fof(f22679,plain,
( spl3_2248
<=> point_equal(b,f) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2248])]) ).
fof(f63517,plain,
( point_equal(b,f)
| ~ incident(b,m)
| ~ spl3_48 ),
inference(resolution,[],[f577,f130]) ).
fof(f130,plain,
incident(b,n),
inference(resolution,[],[f89,f66]) ).
fof(f111251,plain,
( spl3_2095
| ~ spl3_52
| ~ spl3_2094 ),
inference(avatar_split_clause,[],[f111250,f19765,f622,f19769]) ).
fof(f19769,plain,
( spl3_2095
<=> point_equal(e,h) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2095])]) ).
fof(f622,plain,
( spl3_52
<=> ! [X0] :
( point_equal(X0,h)
| ~ incident(X0,q)
| ~ incident(X0,p) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_52])]) ).
fof(f19765,plain,
( spl3_2094
<=> incident(e,p) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2094])]) ).
fof(f111250,plain,
( point_equal(e,h)
| ~ spl3_52
| ~ spl3_2094 ),
inference(subsumption_resolution,[],[f94421,f138]) ).
fof(f94421,plain,
( ~ incident(e,q)
| point_equal(e,h)
| ~ spl3_52
| ~ spl3_2094 ),
inference(resolution,[],[f19766,f623]) ).
fof(f623,plain,
( ! [X0] :
( ~ incident(X0,p)
| ~ incident(X0,q)
| point_equal(X0,h) )
| ~ spl3_52 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f19766,plain,
( incident(e,p)
| ~ spl3_2094 ),
inference(avatar_component_clause,[],[f19765]) ).
fof(f110417,plain,
( spl3_1289
| ~ spl3_2095 ),
inference(avatar_contradiction_clause,[],[f110416]) ).
fof(f110416,plain,
( $false
| spl3_1289
| ~ spl3_2095 ),
inference(subsumption_resolution,[],[f110398,f8006]) ).
fof(f8006,plain,
( ~ incident(h,sK0(e,i))
| spl3_1289 ),
inference(avatar_component_clause,[],[f8004]) ).
fof(f8004,plain,
( spl3_1289
<=> incident(h,sK0(e,i)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1289])]) ).
fof(f110398,plain,
( incident(h,sK0(e,i))
| ~ spl3_2095 ),
inference(resolution,[],[f67448,f2066]) ).
fof(f67448,plain,
( ! [X0] :
( ~ incident(e,X0)
| incident(h,X0) )
| ~ spl3_2095 ),
inference(resolution,[],[f67440,f83]) ).
fof(f67440,plain,
( point_equal(h,e)
| ~ spl3_2095 ),
inference(resolution,[],[f19771,f76]) ).
fof(f76,plain,
! [X0,X1] :
( ~ point_equal(X0,X1)
| point_equal(X1,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( point_equal(X1,X0)
| ~ point_equal(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( point_equal(X0,X1)
=> point_equal(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_point_equal) ).
fof(f19771,plain,
( point_equal(e,h)
| ~ spl3_2095 ),
inference(avatar_component_clause,[],[f19769]) ).
fof(f110401,plain,
( spl3_1406
| ~ spl3_2095 ),
inference(avatar_contradiction_clause,[],[f110400]) ).
fof(f110400,plain,
( $false
| spl3_1406
| ~ spl3_2095 ),
inference(subsumption_resolution,[],[f110358,f9713]) ).
fof(f9713,plain,
( ~ incident(h,o)
| spl3_1406 ),
inference(avatar_component_clause,[],[f9711]) ).
fof(f9711,plain,
( spl3_1406
<=> incident(h,o) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1406])]) ).
fof(f110358,plain,
( incident(h,o)
| ~ spl3_2095 ),
inference(resolution,[],[f67448,f142]) ).
fof(f142,plain,
incident(e,o),
inference(resolution,[],[f90,f67]) ).
fof(f102607,plain,
( spl3_1355
| ~ spl3_1799
| ~ spl3_2248 ),
inference(avatar_contradiction_clause,[],[f102606]) ).
fof(f102606,plain,
( $false
| spl3_1355
| ~ spl3_1799
| ~ spl3_2248 ),
inference(subsumption_resolution,[],[f102459,f8505]) ).
fof(f8505,plain,
( ~ point_equal(b,h)
| spl3_1355 ),
inference(avatar_component_clause,[],[f8504]) ).
fof(f8504,plain,
( spl3_1355
<=> point_equal(b,h) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1355])]) ).
fof(f102459,plain,
( point_equal(b,h)
| ~ spl3_1799
| ~ spl3_2248 ),
inference(resolution,[],[f65819,f15319]) ).
fof(f15319,plain,
( point_equal(f,h)
| ~ spl3_1799 ),
inference(avatar_component_clause,[],[f15317]) ).
fof(f15317,plain,
( spl3_1799
<=> point_equal(f,h) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1799])]) ).
fof(f65819,plain,
( ! [X0] :
( ~ point_equal(f,X0)
| point_equal(b,X0) )
| ~ spl3_2248 ),
inference(resolution,[],[f22681,f82]) ).
fof(f82,plain,
! [X2,X0,X1] :
( ~ point_equal(X0,X1)
| ~ point_equal(X1,X2)
| point_equal(X0,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( point_equal(X0,X2)
| ~ point_equal(X1,X2)
| ~ point_equal(X0,X1) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( point_equal(X0,X2)
| ~ point_equal(X1,X2)
| ~ point_equal(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( point_equal(X1,X2)
& point_equal(X0,X1) )
=> point_equal(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_point_equal) ).
fof(f22681,plain,
( point_equal(b,f)
| ~ spl3_2248 ),
inference(avatar_component_clause,[],[f22679]) ).
fof(f94303,plain,
( spl3_76
| ~ spl3_43 ),
inference(avatar_split_clause,[],[f94302,f548,f774]) ).
fof(f774,plain,
( spl3_76
<=> line_equal(m,p) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_76])]) ).
fof(f94302,plain,
( line_equal(m,p)
| ~ spl3_43 ),
inference(resolution,[],[f550,f77]) ).
fof(f77,plain,
! [X0,X1] :
( ~ line_equal(X0,X1)
| line_equal(X1,X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( line_equal(X1,X0)
| ~ line_equal(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( line_equal(X0,X1)
=> line_equal(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_line_equal) ).
fof(f550,plain,
( line_equal(p,m)
| ~ spl3_43 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f94245,plain,
( ~ spl3_12
| spl3_76
| ~ spl3_30 ),
inference(avatar_split_clause,[],[f63300,f463,f774,f278]) ).
fof(f63300,plain,
( line_equal(m,p)
| ~ incident(b,m)
| ~ spl3_30 ),
inference(resolution,[],[f464,f134]) ).
fof(f94229,plain,
( spl3_494
| ~ spl3_1941 ),
inference(avatar_contradiction_clause,[],[f94228]) ).
fof(f94228,plain,
( $false
| spl3_494
| ~ spl3_1941 ),
inference(subsumption_resolution,[],[f94210,f3449]) ).
fof(f3449,plain,
( ~ incident(f,r)
| spl3_494 ),
inference(avatar_component_clause,[],[f3447]) ).
fof(f3447,plain,
( spl3_494
<=> incident(f,r) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_494])]) ).
fof(f94210,plain,
( incident(f,r)
| ~ spl3_1941 ),
inference(resolution,[],[f65793,f143]) ).
fof(f65793,plain,
( ! [X0] :
( ~ incident(d,X0)
| incident(f,X0) )
| ~ spl3_1941 ),
inference(resolution,[],[f16687,f83]) ).
fof(f16687,plain,
( point_equal(f,d)
| ~ spl3_1941 ),
inference(avatar_component_clause,[],[f16685]) ).
fof(f16685,plain,
( spl3_1941
<=> point_equal(f,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1941])]) ).
fof(f67275,plain,
( ~ spl3_310
| ~ spl3_65
| spl3_548 ),
inference(avatar_split_clause,[],[f67274,f3776,f703,f2369]) ).
fof(f2369,plain,
( spl3_310
<=> incident(f,q) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_310])]) ).
fof(f703,plain,
( spl3_65
<=> ! [X0] :
( point_equal(X0,e)
| ~ incident(X0,m)
| ~ incident(X0,q) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_65])]) ).
fof(f3776,plain,
( spl3_548
<=> point_equal(f,e) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_548])]) ).
fof(f67274,plain,
( ~ incident(f,q)
| ~ spl3_65
| spl3_548 ),
inference(subsumption_resolution,[],[f67204,f3777]) ).
fof(f3777,plain,
( ~ point_equal(f,e)
| spl3_548 ),
inference(avatar_component_clause,[],[f3776]) ).
fof(f67204,plain,
( point_equal(f,e)
| ~ incident(f,q)
| ~ spl3_65 ),
inference(resolution,[],[f704,f124]) ).
fof(f704,plain,
( ! [X0] :
( ~ incident(X0,m)
| point_equal(X0,e)
| ~ incident(X0,q) )
| ~ spl3_65 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f67201,plain,
( ~ spl3_2238
| ~ spl3_25
| spl3_295 ),
inference(avatar_split_clause,[],[f67200,f2280,f433,f22005]) ).
fof(f22005,plain,
( spl3_2238
<=> point_equal(b,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2238])]) ).
fof(f433,plain,
( spl3_25
<=> point_equal(f,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).
fof(f2280,plain,
( spl3_295
<=> point_equal(f,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_295])]) ).
fof(f67200,plain,
( ~ point_equal(b,a)
| ~ spl3_25
| spl3_295 ),
inference(resolution,[],[f2281,f65477]) ).
fof(f65477,plain,
( ! [X0] :
( point_equal(f,X0)
| ~ point_equal(b,X0) )
| ~ spl3_25 ),
inference(resolution,[],[f435,f82]) ).
fof(f435,plain,
( point_equal(f,b)
| ~ spl3_25 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f2281,plain,
( ~ point_equal(f,a)
| spl3_295 ),
inference(avatar_component_clause,[],[f2280]) ).
fof(f67144,plain,
( ~ spl3_296
| spl3_369
| ~ spl3_35 ),
inference(avatar_split_clause,[],[f63377,f490,f2742,f2285]) ).
fof(f2285,plain,
( spl3_296
<=> incident(i,l) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_296])]) ).
fof(f2742,plain,
( spl3_369
<=> point_equal(i,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_369])]) ).
fof(f490,plain,
( spl3_35
<=> ! [X0] :
( point_equal(X0,c)
| ~ incident(X0,r)
| ~ incident(X0,l) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_35])]) ).
fof(f63377,plain,
( point_equal(i,c)
| ~ incident(i,l)
| ~ spl3_35 ),
inference(resolution,[],[f491,f123]) ).
fof(f123,plain,
incident(i,r),
inference(resolution,[],[f88,f70]) ).
fof(f491,plain,
( ! [X0] :
( ~ incident(X0,r)
| point_equal(X0,c)
| ~ incident(X0,l) )
| ~ spl3_35 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f67122,plain,
( spl3_1572
| spl3_23
| ~ spl3_294 ),
inference(avatar_split_clause,[],[f65488,f2276,f416,f11755]) ).
fof(f11755,plain,
( spl3_1572
<=> ! [X0] :
( point_equal(X0,f)
| ~ incident(X0,l)
| ~ incident(X0,s) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1572])]) ).
fof(f416,plain,
( spl3_23
<=> line_equal(l,s) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).
fof(f65488,plain,
( ! [X0] :
( line_equal(l,s)
| point_equal(X0,f)
| ~ incident(X0,s)
| ~ incident(X0,l) )
| ~ spl3_294 ),
inference(resolution,[],[f2277,f224]) ).
fof(f224,plain,
! [X0,X1] :
( ~ incident(f,X1)
| line_equal(X1,s)
| point_equal(X0,f)
| ~ incident(X0,s)
| ~ incident(X0,X1) ),
inference(resolution,[],[f139,f91]) ).
fof(f139,plain,
incident(f,s),
inference(resolution,[],[f90,f71]) ).
fof(f2277,plain,
( incident(f,l)
| ~ spl3_294 ),
inference(avatar_component_clause,[],[f2276]) ).
fof(f67118,plain,
( ~ spl3_563
| spl3_1439
| ~ spl3_1940 ),
inference(avatar_contradiction_clause,[],[f67117]) ).
fof(f67117,plain,
( $false
| ~ spl3_563
| spl3_1439
| ~ spl3_1940 ),
inference(subsumption_resolution,[],[f67084,f10172]) ).
fof(f10172,plain,
( ~ incident(a,p)
| spl3_1439 ),
inference(avatar_component_clause,[],[f10170]) ).
fof(f10170,plain,
( spl3_1439
<=> incident(a,p) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1439])]) ).
fof(f67084,plain,
( incident(a,p)
| ~ spl3_563
| ~ spl3_1940 ),
inference(resolution,[],[f65756,f16682]) ).
fof(f16682,plain,
( incident(f,p)
| ~ spl3_1940 ),
inference(avatar_component_clause,[],[f16681]) ).
fof(f16681,plain,
( spl3_1940
<=> incident(f,p) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1940])]) ).
fof(f65756,plain,
( ! [X0] :
( ~ incident(f,X0)
| incident(a,X0) )
| ~ spl3_563 ),
inference(resolution,[],[f3866,f83]) ).
fof(f3866,plain,
( point_equal(a,f)
| ~ spl3_563 ),
inference(avatar_component_clause,[],[f3864]) ).
fof(f3864,plain,
( spl3_563
<=> point_equal(a,f) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_563])]) ).
fof(f65967,plain,
( spl3_1940
| ~ spl3_25 ),
inference(avatar_split_clause,[],[f65941,f433,f16681]) ).
fof(f65941,plain,
( incident(f,p)
| ~ spl3_25 ),
inference(resolution,[],[f65476,f131]) ).
fof(f65476,plain,
( ! [X0] :
( ~ incident(b,X0)
| incident(f,X0) )
| ~ spl3_25 ),
inference(resolution,[],[f435,f83]) ).
fof(f65777,plain,
( spl3_3923
| spl3_1534
| ~ spl3_564 ),
inference(avatar_split_clause,[],[f63831,f3868,f11315,f65775]) ).
fof(f11315,plain,
( spl3_1534
<=> line_equal(n,q) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1534])]) ).
fof(f3868,plain,
( spl3_564
<=> incident(a,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_564])]) ).
fof(f63831,plain,
( ! [X0] :
( line_equal(n,q)
| point_equal(X0,a)
| ~ incident(X0,q)
| ~ incident(X0,n) )
| ~ spl3_564 ),
inference(resolution,[],[f3869,f195]) ).
fof(f195,plain,
! [X0,X1] :
( ~ incident(a,X1)
| line_equal(X1,q)
| point_equal(X0,a)
| ~ incident(X0,q)
| ~ incident(X0,X1) ),
inference(resolution,[],[f91,f128]) ).
fof(f3869,plain,
( incident(a,n)
| ~ spl3_564 ),
inference(avatar_component_clause,[],[f3868]) ).
fof(f65773,plain,
( ~ spl3_1534
| spl3_22
| ~ spl3_74 ),
inference(avatar_split_clause,[],[f64462,f754,f404,f11315]) ).
fof(f404,plain,
( spl3_22
<=> line_equal(s,q) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).
fof(f754,plain,
( spl3_74
<=> line_equal(s,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_74])]) ).
fof(f64462,plain,
( ~ line_equal(n,q)
| spl3_22
| ~ spl3_74 ),
inference(resolution,[],[f63227,f405]) ).
fof(f405,plain,
( ~ line_equal(s,q)
| spl3_22 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f63227,plain,
( ! [X0] :
( line_equal(s,X0)
| ~ line_equal(n,X0) )
| ~ spl3_74 ),
inference(resolution,[],[f756,f84]) ).
fof(f84,plain,
! [X2,X0,X1] :
( ~ line_equal(X0,X1)
| ~ line_equal(X1,X2)
| line_equal(X0,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2] :
( line_equal(X0,X2)
| ~ line_equal(X1,X2)
| ~ line_equal(X0,X1) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2] :
( line_equal(X0,X2)
| ~ line_equal(X1,X2)
| ~ line_equal(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1,X2] :
( ( line_equal(X1,X2)
& line_equal(X0,X1) )
=> line_equal(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_line_equal) ).
fof(f756,plain,
( line_equal(s,n)
| ~ spl3_74 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f65663,plain,
( spl3_2482
| spl3_24
| ~ spl3_310 ),
inference(avatar_split_clause,[],[f65662,f2369,f421,f29917]) ).
fof(f29917,plain,
( spl3_2482
<=> ! [X0] :
( point_equal(X0,f)
| ~ incident(X0,q)
| ~ incident(X0,s) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2482])]) ).
fof(f421,plain,
( spl3_24
<=> line_equal(q,s) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).
fof(f65662,plain,
( ! [X0] :
( point_equal(X0,f)
| ~ incident(X0,s)
| ~ incident(X0,q) )
| spl3_24
| ~ spl3_310 ),
inference(subsumption_resolution,[],[f65646,f422]) ).
fof(f422,plain,
( ~ line_equal(q,s)
| spl3_24 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f65646,plain,
( ! [X0] :
( line_equal(q,s)
| point_equal(X0,f)
| ~ incident(X0,s)
| ~ incident(X0,q) )
| ~ spl3_310 ),
inference(resolution,[],[f2370,f224]) ).
fof(f2370,plain,
( incident(f,q)
| ~ spl3_310 ),
inference(avatar_component_clause,[],[f2369]) ).
fof(f65468,plain,
( spl3_1843
| ~ spl3_10
| spl3_70 ),
inference(avatar_split_clause,[],[f65467,f732,f259,f15734]) ).
fof(f15734,plain,
( spl3_1843
<=> ! [X0] :
( point_equal(X0,a)
| ~ incident(X0,m)
| ~ incident(X0,s) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1843])]) ).
fof(f259,plain,
( spl3_10
<=> incident(a,m) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f732,plain,
( spl3_70
<=> line_equal(m,s) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_70])]) ).
fof(f65467,plain,
( ! [X0] :
( point_equal(X0,a)
| ~ incident(X0,s)
| ~ incident(X0,m) )
| ~ spl3_10
| spl3_70 ),
inference(subsumption_resolution,[],[f65448,f733]) ).
fof(f733,plain,
( ~ line_equal(m,s)
| spl3_70 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f65448,plain,
( ! [X0] :
( line_equal(m,s)
| point_equal(X0,a)
| ~ incident(X0,s)
| ~ incident(X0,m) )
| ~ spl3_10 ),
inference(resolution,[],[f261,f196]) ).
fof(f196,plain,
! [X0,X1] :
( ~ incident(a,X1)
| line_equal(X1,s)
| point_equal(X0,a)
| ~ incident(X0,s)
| ~ incident(X0,X1) ),
inference(resolution,[],[f91,f129]) ).
fof(f129,plain,
incident(a,s),
inference(resolution,[],[f89,f71]) ).
fof(f261,plain,
( incident(a,m)
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f65466,plain,
( spl3_1844
| spl3_66
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f65447,f259,f706,f15738]) ).
fof(f15738,plain,
( spl3_1844
<=> ! [X0] :
( point_equal(X0,a)
| ~ incident(X0,m)
| ~ incident(X0,q) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1844])]) ).
fof(f706,plain,
( spl3_66
<=> line_equal(m,q) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_66])]) ).
fof(f65447,plain,
( ! [X0] :
( line_equal(m,q)
| point_equal(X0,a)
| ~ incident(X0,q)
| ~ incident(X0,m) )
| ~ spl3_10 ),
inference(resolution,[],[f261,f195]) ).
fof(f65413,plain,
( ~ spl3_310
| spl3_295
| ~ spl3_21 ),
inference(avatar_split_clause,[],[f37142,f401,f2280,f2369]) ).
fof(f401,plain,
( spl3_21
<=> ! [X0] :
( point_equal(X0,a)
| ~ incident(X0,s)
| ~ incident(X0,q) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).
fof(f37142,plain,
( point_equal(f,a)
| ~ incident(f,q)
| ~ spl3_21 ),
inference(resolution,[],[f402,f139]) ).
fof(f402,plain,
( ! [X0] :
( ~ incident(X0,s)
| point_equal(X0,a)
| ~ incident(X0,q) )
| ~ spl3_21 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f65410,plain,
( ~ spl3_294
| ~ spl3_1497
| spl3_1943 ),
inference(avatar_split_clause,[],[f65409,f16696,f10873,f2276]) ).
fof(f10873,plain,
( spl3_1497
<=> ! [X0] :
( point_equal(X0,c)
| ~ incident(X0,m)
| ~ incident(X0,l) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1497])]) ).
fof(f16696,plain,
( spl3_1943
<=> point_equal(f,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1943])]) ).
fof(f65409,plain,
( ~ incident(f,l)
| ~ spl3_1497
| spl3_1943 ),
inference(subsumption_resolution,[],[f51717,f124]) ).
fof(f51717,plain,
( ~ incident(f,m)
| ~ incident(f,l)
| ~ spl3_1497
| spl3_1943 ),
inference(resolution,[],[f10874,f16697]) ).
fof(f16697,plain,
( ~ point_equal(f,c)
| spl3_1943 ),
inference(avatar_component_clause,[],[f16696]) ).
fof(f10874,plain,
( ! [X0] :
( point_equal(X0,c)
| ~ incident(X0,m)
| ~ incident(X0,l) )
| ~ spl3_1497 ),
inference(avatar_component_clause,[],[f10873]) ).
fof(f65376,plain,
( ~ spl3_10
| spl3_563
| ~ spl3_48
| ~ spl3_564 ),
inference(avatar_split_clause,[],[f63847,f3868,f576,f3864,f259]) ).
fof(f63847,plain,
( point_equal(a,f)
| ~ incident(a,m)
| ~ spl3_48
| ~ spl3_564 ),
inference(resolution,[],[f3869,f577]) ).
fof(f65372,plain,
( ~ spl3_367
| ~ spl3_380
| spl3_1406 ),
inference(avatar_contradiction_clause,[],[f65371]) ).
fof(f65371,plain,
( $false
| ~ spl3_367
| ~ spl3_380
| spl3_1406 ),
inference(subsumption_resolution,[],[f65354,f9713]) ).
fof(f65354,plain,
( incident(h,o)
| ~ spl3_367
| ~ spl3_380 ),
inference(resolution,[],[f2734,f63588]) ).
fof(f63588,plain,
( ! [X0] :
( ~ incident(d,X0)
| incident(h,X0) )
| ~ spl3_380 ),
inference(resolution,[],[f2816,f83]) ).
fof(f2816,plain,
( point_equal(h,d)
| ~ spl3_380 ),
inference(avatar_component_clause,[],[f2814]) ).
fof(f2734,plain,
( incident(d,o)
| ~ spl3_367 ),
inference(avatar_component_clause,[],[f2733]) ).
fof(f2733,plain,
( spl3_367
<=> incident(d,o) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_367])]) ).
fof(f64430,plain,
( spl3_565
| ~ spl3_74 ),
inference(avatar_split_clause,[],[f64386,f754,f3873]) ).
fof(f3873,plain,
( spl3_565
<=> incident(i,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_565])]) ).
fof(f64386,plain,
( incident(i,n)
| ~ spl3_74 ),
inference(resolution,[],[f63226,f119]) ).
fof(f63226,plain,
( ! [X0] :
( ~ incident(X0,s)
| incident(X0,n) )
| ~ spl3_74 ),
inference(resolution,[],[f756,f87]) ).
fof(f87,plain,
! [X2,X0,X1] :
( ~ line_equal(X1,X2)
| incident(X0,X2)
| ~ incident(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( incident(X0,X2)
| ~ line_equal(X1,X2)
| ~ incident(X0,X1) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( incident(X0,X2)
| ~ line_equal(X1,X2)
| ~ incident(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1,X2] :
( ( line_equal(X1,X2)
& incident(X0,X1) )
=> incident(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lcon) ).
fof(f63870,plain,
( spl3_2254
| ~ spl3_59
| ~ spl3_564 ),
inference(avatar_split_clause,[],[f63869,f3868,f675,f23303]) ).
fof(f23303,plain,
( spl3_2254
<=> point_equal(a,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2254])]) ).
fof(f675,plain,
( spl3_59
<=> ! [X0] :
( point_equal(X0,b)
| ~ incident(X0,n)
| ~ incident(X0,l) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_59])]) ).
fof(f63869,plain,
( point_equal(a,b)
| ~ spl3_59
| ~ spl3_564 ),
inference(subsumption_resolution,[],[f63848,f127]) ).
fof(f127,plain,
incident(a,l),
inference(resolution,[],[f89,f64]) ).
fof(f63848,plain,
( point_equal(a,b)
| ~ incident(a,l)
| ~ spl3_59
| ~ spl3_564 ),
inference(resolution,[],[f3869,f676]) ).
fof(f676,plain,
( ! [X0] :
( ~ incident(X0,n)
| point_equal(X0,b)
| ~ incident(X0,l) )
| ~ spl3_59 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f63827,plain,
( ~ spl3_492
| ~ spl3_564
| spl3_491
| ~ spl3_1995 ),
inference(avatar_split_clause,[],[f63824,f17547,f3434,f3868,f3438]) ).
fof(f3438,plain,
( spl3_492
<=> incident(a,r) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_492])]) ).
fof(f3434,plain,
( spl3_491
<=> point_equal(a,i) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_491])]) ).
fof(f17547,plain,
( spl3_1995
<=> ! [X0] :
( point_equal(X0,i)
| ~ incident(X0,n)
| ~ incident(X0,r) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1995])]) ).
fof(f63824,plain,
( ~ incident(a,n)
| ~ incident(a,r)
| spl3_491
| ~ spl3_1995 ),
inference(resolution,[],[f3435,f17548]) ).
fof(f17548,plain,
( ! [X0] :
( point_equal(X0,i)
| ~ incident(X0,n)
| ~ incident(X0,r) )
| ~ spl3_1995 ),
inference(avatar_component_clause,[],[f17547]) ).
fof(f3435,plain,
( ~ point_equal(a,i)
| spl3_491 ),
inference(avatar_component_clause,[],[f3434]) ).
fof(f62975,plain,
( spl3_533
| ~ spl3_434
| ~ spl3_80 ),
inference(avatar_split_clause,[],[f35949,f796,f3115,f3688]) ).
fof(f796,plain,
( spl3_80
<=> ! [X0] :
( point_equal(X0,e)
| ~ incident(X0,m)
| ~ incident(X0,o) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_80])]) ).
fof(f35949,plain,
( ~ incident(g,m)
| point_equal(g,e)
| ~ spl3_80 ),
inference(resolution,[],[f797,f122]) ).
fof(f797,plain,
( ! [X0] :
( ~ incident(X0,o)
| ~ incident(X0,m)
| point_equal(X0,e) )
| ~ spl3_80 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f62814,plain,
( ~ spl3_352
| spl3_29
| ~ spl3_61 ),
inference(avatar_split_clause,[],[f34332,f683,f459,f2645]) ).
fof(f459,plain,
( spl3_29
<=> point_equal(d,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_29])]) ).
fof(f683,plain,
( spl3_61
<=> ! [X0] :
( point_equal(X0,b)
| ~ incident(X0,p)
| ~ incident(X0,l) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_61])]) ).
fof(f34332,plain,
( point_equal(d,b)
| ~ incident(d,l)
| ~ spl3_61 ),
inference(resolution,[],[f684,f141]) ).
fof(f141,plain,
incident(d,p),
inference(resolution,[],[f90,f68]) ).
fof(f684,plain,
( ! [X0] :
( ~ incident(X0,p)
| point_equal(X0,b)
| ~ incident(X0,l) )
| ~ spl3_61 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f62806,plain,
( spl3_452
| ~ spl3_1445 ),
inference(avatar_contradiction_clause,[],[f62805]) ).
fof(f62805,plain,
( $false
| spl3_452
| ~ spl3_1445 ),
inference(subsumption_resolution,[],[f62779,f3217]) ).
fof(f3217,plain,
( ~ incident(c,n)
| spl3_452 ),
inference(avatar_component_clause,[],[f3215]) ).
fof(f3215,plain,
( spl3_452
<=> incident(c,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_452])]) ).
fof(f62779,plain,
( incident(c,n)
| ~ spl3_1445 ),
inference(resolution,[],[f34508,f130]) ).
fof(f34508,plain,
( ! [X0] :
( ~ incident(b,X0)
| incident(c,X0) )
| ~ spl3_1445 ),
inference(resolution,[],[f10211,f83]) ).
fof(f10211,plain,
( point_equal(c,b)
| ~ spl3_1445 ),
inference(avatar_component_clause,[],[f10209]) ).
fof(f10209,plain,
( spl3_1445
<=> point_equal(c,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1445])]) ).
fof(f62668,plain,
( spl3_1438
| ~ spl3_2021 ),
inference(avatar_contradiction_clause,[],[f62667]) ).
fof(f62667,plain,
( $false
| spl3_1438
| ~ spl3_2021 ),
inference(subsumption_resolution,[],[f62666,f127]) ).
fof(f62666,plain,
( ~ incident(a,l)
| spl3_1438
| ~ spl3_2021 ),
inference(subsumption_resolution,[],[f62662,f128]) ).
fof(f62662,plain,
( ~ incident(a,q)
| ~ incident(a,l)
| spl3_1438
| ~ spl3_2021 ),
inference(resolution,[],[f10166,f18937]) ).
fof(f18937,plain,
( ! [X0] :
( point_equal(X0,c)
| ~ incident(X0,q)
| ~ incident(X0,l) )
| ~ spl3_2021 ),
inference(avatar_component_clause,[],[f18936]) ).
fof(f18936,plain,
( spl3_2021
<=> ! [X0] :
( point_equal(X0,c)
| ~ incident(X0,q)
| ~ incident(X0,l) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2021])]) ).
fof(f10166,plain,
( ~ point_equal(a,c)
| spl3_1438 ),
inference(avatar_component_clause,[],[f10165]) ).
fof(f10165,plain,
( spl3_1438
<=> point_equal(a,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1438])]) ).
fof(f62659,plain,
( spl3_492
| ~ spl3_1438 ),
inference(avatar_contradiction_clause,[],[f62658]) ).
fof(f62658,plain,
( $false
| spl3_492
| ~ spl3_1438 ),
inference(subsumption_resolution,[],[f62636,f3440]) ).
fof(f3440,plain,
( ~ incident(a,r)
| spl3_492 ),
inference(avatar_component_clause,[],[f3438]) ).
fof(f62636,plain,
( incident(a,r)
| ~ spl3_1438 ),
inference(resolution,[],[f32925,f133]) ).
fof(f133,plain,
incident(c,r),
inference(resolution,[],[f89,f70]) ).
fof(f32925,plain,
( ! [X0] :
( ~ incident(c,X0)
| incident(a,X0) )
| ~ spl3_1438 ),
inference(resolution,[],[f10167,f83]) ).
fof(f10167,plain,
( point_equal(a,c)
| ~ spl3_1438 ),
inference(avatar_component_clause,[],[f10165]) ).
fof(f62611,plain,
( spl3_1356
| ~ spl3_1810 ),
inference(avatar_contradiction_clause,[],[f62610]) ).
fof(f62610,plain,
( $false
| spl3_1356
| ~ spl3_1810 ),
inference(subsumption_resolution,[],[f62588,f8510]) ).
fof(f8510,plain,
( ~ incident(b,q)
| spl3_1356 ),
inference(avatar_component_clause,[],[f8508]) ).
fof(f8508,plain,
( spl3_1356
<=> incident(b,q) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1356])]) ).
fof(f62588,plain,
( incident(b,q)
| ~ spl3_1810 ),
inference(resolution,[],[f32764,f138]) ).
fof(f32764,plain,
( ! [X0] :
( ~ incident(e,X0)
| incident(b,X0) )
| ~ spl3_1810 ),
inference(resolution,[],[f15572,f83]) ).
fof(f15572,plain,
( point_equal(b,e)
| ~ spl3_1810 ),
inference(avatar_component_clause,[],[f15570]) ).
fof(f15570,plain,
( spl3_1810
<=> point_equal(b,e) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1810])]) ).
fof(f62583,plain,
( spl3_476
| ~ spl3_2200 ),
inference(avatar_contradiction_clause,[],[f62582]) ).
fof(f62582,plain,
( $false
| spl3_476
| ~ spl3_2200 ),
inference(subsumption_resolution,[],[f62562,f3348]) ).
fof(f3348,plain,
( ~ incident(d,q)
| spl3_476 ),
inference(avatar_component_clause,[],[f3346]) ).
fof(f3346,plain,
( spl3_476
<=> incident(d,q) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_476])]) ).
fof(f62562,plain,
( incident(d,q)
| ~ spl3_2200 ),
inference(resolution,[],[f30752,f138]) ).
fof(f30752,plain,
( ! [X0] :
( ~ incident(e,X0)
| incident(d,X0) )
| ~ spl3_2200 ),
inference(resolution,[],[f21474,f83]) ).
fof(f21474,plain,
( point_equal(d,e)
| ~ spl3_2200 ),
inference(avatar_component_clause,[],[f21472]) ).
fof(f21472,plain,
( spl3_2200
<=> point_equal(d,e) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2200])]) ).
fof(f62581,plain,
( spl3_367
| ~ spl3_2200 ),
inference(avatar_contradiction_clause,[],[f62580]) ).
fof(f62580,plain,
( $false
| spl3_367
| ~ spl3_2200 ),
inference(subsumption_resolution,[],[f62561,f2735]) ).
fof(f2735,plain,
( ~ incident(d,o)
| spl3_367 ),
inference(avatar_component_clause,[],[f2733]) ).
fof(f62561,plain,
( incident(d,o)
| ~ spl3_2200 ),
inference(resolution,[],[f30752,f142]) ).
fof(f53796,plain,
( spl3_563
| ~ spl3_2482 ),
inference(avatar_contradiction_clause,[],[f53795]) ).
fof(f53795,plain,
( $false
| spl3_563
| ~ spl3_2482 ),
inference(subsumption_resolution,[],[f53794,f129]) ).
fof(f53794,plain,
( ~ incident(a,s)
| spl3_563
| ~ spl3_2482 ),
inference(subsumption_resolution,[],[f53775,f128]) ).
fof(f53775,plain,
( ~ incident(a,q)
| ~ incident(a,s)
| spl3_563
| ~ spl3_2482 ),
inference(resolution,[],[f29918,f3865]) ).
fof(f3865,plain,
( ~ point_equal(a,f)
| spl3_563 ),
inference(avatar_component_clause,[],[f3864]) ).
fof(f29918,plain,
( ! [X0] :
( point_equal(X0,f)
| ~ incident(X0,q)
| ~ incident(X0,s) )
| ~ spl3_2482 ),
inference(avatar_component_clause,[],[f29917]) ).
fof(f53528,plain,
( spl3_2012
| ~ spl3_2249 ),
inference(avatar_contradiction_clause,[],[f53527]) ).
fof(f53527,plain,
( $false
| spl3_2012
| ~ spl3_2249 ),
inference(subsumption_resolution,[],[f53526,f140]) ).
fof(f140,plain,
incident(f,n),
inference(resolution,[],[f90,f66]) ).
fof(f53526,plain,
( ~ incident(f,n)
| spl3_2012
| ~ spl3_2249 ),
inference(subsumption_resolution,[],[f53513,f124]) ).
fof(f53513,plain,
( ~ incident(f,m)
| ~ incident(f,n)
| spl3_2012
| ~ spl3_2249 ),
inference(resolution,[],[f22686,f18598]) ).
fof(f18598,plain,
( ~ point_equal(f,g)
| spl3_2012 ),
inference(avatar_component_clause,[],[f18597]) ).
fof(f18597,plain,
( spl3_2012
<=> point_equal(f,g) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2012])]) ).
fof(f22686,plain,
( ! [X0] :
( point_equal(X0,g)
| ~ incident(X0,m)
| ~ incident(X0,n) )
| ~ spl3_2249 ),
inference(avatar_component_clause,[],[f22685]) ).
fof(f22685,plain,
( spl3_2249
<=> ! [X0] :
( point_equal(X0,g)
| ~ incident(X0,m)
| ~ incident(X0,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2249])]) ).
fof(f53298,plain,
( spl3_455
| ~ spl3_2229 ),
inference(avatar_contradiction_clause,[],[f53297]) ).
fof(f53297,plain,
( $false
| spl3_455
| ~ spl3_2229 ),
inference(subsumption_resolution,[],[f53296,f142]) ).
fof(f53296,plain,
( ~ incident(e,o)
| spl3_455
| ~ spl3_2229 ),
inference(subsumption_resolution,[],[f53282,f144]) ).
fof(f144,plain,
incident(e,m),
inference(resolution,[],[f90,f65]) ).
fof(f53282,plain,
( ~ incident(e,m)
| ~ incident(e,o)
| spl3_455
| ~ spl3_2229 ),
inference(resolution,[],[f21836,f3229]) ).
fof(f3229,plain,
( ~ point_equal(e,g)
| spl3_455 ),
inference(avatar_component_clause,[],[f3228]) ).
fof(f3228,plain,
( spl3_455
<=> point_equal(e,g) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_455])]) ).
fof(f21836,plain,
( ! [X0] :
( point_equal(X0,g)
| ~ incident(X0,m)
| ~ incident(X0,o) )
| ~ spl3_2229 ),
inference(avatar_component_clause,[],[f21835]) ).
fof(f53161,plain,
( spl3_398
| ~ spl3_2223 ),
inference(avatar_contradiction_clause,[],[f53160]) ).
fof(f53160,plain,
( $false
| spl3_398
| ~ spl3_2223 ),
inference(subsumption_resolution,[],[f53159,f133]) ).
fof(f53159,plain,
( ~ incident(c,r)
| spl3_398
| ~ spl3_2223 ),
inference(subsumption_resolution,[],[f53145,f132]) ).
fof(f132,plain,
incident(c,o),
inference(resolution,[],[f89,f67]) ).
fof(f53145,plain,
( ~ incident(c,o)
| ~ incident(c,r)
| spl3_398
| ~ spl3_2223 ),
inference(resolution,[],[f21810,f2915]) ).
fof(f2915,plain,
( ~ point_equal(c,d)
| spl3_398 ),
inference(avatar_component_clause,[],[f2914]) ).
fof(f2914,plain,
( spl3_398
<=> point_equal(c,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_398])]) ).
fof(f21810,plain,
( ! [X0] :
( point_equal(X0,d)
| ~ incident(X0,o)
| ~ incident(X0,r) )
| ~ spl3_2223 ),
inference(avatar_component_clause,[],[f21809]) ).
fof(f21809,plain,
( spl3_2223
<=> ! [X0] :
( point_equal(X0,d)
| ~ incident(X0,o)
| ~ incident(X0,r) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2223])]) ).
fof(f52857,plain,
( spl3_493
| ~ spl3_2020 ),
inference(avatar_contradiction_clause,[],[f52856]) ).
fof(f52856,plain,
( $false
| spl3_493
| ~ spl3_2020 ),
inference(subsumption_resolution,[],[f52855,f139]) ).
fof(f52855,plain,
( ~ incident(f,s)
| spl3_493
| ~ spl3_2020 ),
inference(subsumption_resolution,[],[f52845,f124]) ).
fof(f52845,plain,
( ~ incident(f,m)
| ~ incident(f,s)
| spl3_493
| ~ spl3_2020 ),
inference(resolution,[],[f18811,f3444]) ).
fof(f3444,plain,
( ~ point_equal(f,i)
| spl3_493 ),
inference(avatar_component_clause,[],[f3443]) ).
fof(f3443,plain,
( spl3_493
<=> point_equal(f,i) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_493])]) ).
fof(f18811,plain,
( ! [X0] :
( point_equal(X0,i)
| ~ incident(X0,m)
| ~ incident(X0,s) )
| ~ spl3_2020 ),
inference(avatar_component_clause,[],[f18810]) ).
fof(f18810,plain,
( spl3_2020
<=> ! [X0] :
( point_equal(X0,i)
| ~ incident(X0,m)
| ~ incident(X0,s) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2020])]) ).
fof(f52725,plain,
( spl3_398
| ~ spl3_2002 ),
inference(avatar_contradiction_clause,[],[f52724]) ).
fof(f52724,plain,
( $false
| spl3_398
| ~ spl3_2002 ),
inference(subsumption_resolution,[],[f52723,f133]) ).
fof(f52723,plain,
( ~ incident(c,r)
| spl3_398
| ~ spl3_2002 ),
inference(subsumption_resolution,[],[f52706,f117]) ).
fof(f117,plain,
incident(c,l),
inference(resolution,[],[f88,f64]) ).
fof(f52706,plain,
( ~ incident(c,l)
| ~ incident(c,r)
| spl3_398
| ~ spl3_2002 ),
inference(resolution,[],[f18320,f2915]) ).
fof(f18320,plain,
( ! [X0] :
( point_equal(X0,d)
| ~ incident(X0,l)
| ~ incident(X0,r) )
| ~ spl3_2002 ),
inference(avatar_component_clause,[],[f18319]) ).
fof(f18319,plain,
( spl3_2002
<=> ! [X0] :
( point_equal(X0,d)
| ~ incident(X0,l)
| ~ incident(X0,r) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2002])]) ).
fof(f52404,plain,
( spl3_353
| ~ spl3_1987 ),
inference(avatar_contradiction_clause,[],[f52403]) ).
fof(f52403,plain,
( $false
| spl3_353
| ~ spl3_1987 ),
inference(subsumption_resolution,[],[f52402,f143]) ).
fof(f52402,plain,
( ~ incident(d,r)
| spl3_353
| ~ spl3_1987 ),
inference(subsumption_resolution,[],[f52386,f134]) ).
fof(f52386,plain,
( ~ incident(d,m)
| ~ incident(d,r)
| spl3_353
| ~ spl3_1987 ),
inference(resolution,[],[f17468,f2650]) ).
fof(f2650,plain,
( ~ point_equal(d,c)
| spl3_353 ),
inference(avatar_component_clause,[],[f2649]) ).
fof(f2649,plain,
( spl3_353
<=> point_equal(d,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_353])]) ).
fof(f17468,plain,
( ! [X0] :
( point_equal(X0,c)
| ~ incident(X0,m)
| ~ incident(X0,r) )
| ~ spl3_1987 ),
inference(avatar_component_clause,[],[f17467]) ).
fof(f17467,plain,
( spl3_1987
<=> ! [X0] :
( point_equal(X0,c)
| ~ incident(X0,m)
| ~ incident(X0,r) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1987])]) ).
fof(f52359,plain,
( ~ spl3_1986
| spl3_2231 ),
inference(avatar_contradiction_clause,[],[f52358]) ).
fof(f52358,plain,
( $false
| ~ spl3_1986
| spl3_2231 ),
inference(subsumption_resolution,[],[f52357,f143]) ).
fof(f52357,plain,
( ~ incident(d,r)
| ~ spl3_1986
| spl3_2231 ),
inference(subsumption_resolution,[],[f52345,f134]) ).
fof(f52345,plain,
( ~ incident(d,m)
| ~ incident(d,r)
| ~ spl3_1986
| spl3_2231 ),
inference(resolution,[],[f17464,f21853]) ).
fof(f21853,plain,
( ~ point_equal(d,i)
| spl3_2231 ),
inference(avatar_component_clause,[],[f21852]) ).
fof(f21852,plain,
( spl3_2231
<=> point_equal(d,i) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2231])]) ).
fof(f17464,plain,
( ! [X0] :
( point_equal(X0,i)
| ~ incident(X0,m)
| ~ incident(X0,r) )
| ~ spl3_1986 ),
inference(avatar_component_clause,[],[f17463]) ).
fof(f17463,plain,
( spl3_1986
<=> ! [X0] :
( point_equal(X0,i)
| ~ incident(X0,m)
| ~ incident(X0,r) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1986])]) ).
fof(f52133,plain,
( ~ spl3_1946
| spl3_1977 ),
inference(avatar_contradiction_clause,[],[f52132]) ).
fof(f52132,plain,
( $false
| ~ spl3_1946
| spl3_1977 ),
inference(subsumption_resolution,[],[f52131,f131]) ).
fof(f52131,plain,
( ~ incident(b,p)
| ~ spl3_1946
| spl3_1977 ),
inference(subsumption_resolution,[],[f52116,f137]) ).
fof(f137,plain,
incident(b,l),
inference(resolution,[],[f90,f64]) ).
fof(f52116,plain,
( ~ incident(b,l)
| ~ incident(b,p)
| ~ spl3_1946
| spl3_1977 ),
inference(resolution,[],[f16907,f17187]) ).
fof(f17187,plain,
( ~ point_equal(b,d)
| spl3_1977 ),
inference(avatar_component_clause,[],[f17186]) ).
fof(f16907,plain,
( ! [X0] :
( point_equal(X0,d)
| ~ incident(X0,l)
| ~ incident(X0,p) )
| ~ spl3_1946 ),
inference(avatar_component_clause,[],[f16906]) ).
fof(f16906,plain,
( spl3_1946
<=> ! [X0] :
( point_equal(X0,d)
| ~ incident(X0,l)
| ~ incident(X0,p) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1946])]) ).
fof(f52006,plain,
( spl3_531
| ~ spl3_1938 ),
inference(avatar_contradiction_clause,[],[f52005]) ).
fof(f52005,plain,
( $false
| spl3_531
| ~ spl3_1938 ),
inference(subsumption_resolution,[],[f52004,f132]) ).
fof(f52004,plain,
( ~ incident(c,o)
| spl3_531
| ~ spl3_1938 ),
inference(subsumption_resolution,[],[f51990,f117]) ).
fof(f51990,plain,
( ~ incident(c,l)
| ~ incident(c,o)
| spl3_531
| ~ spl3_1938 ),
inference(resolution,[],[f16650,f3680]) ).
fof(f3680,plain,
( ~ point_equal(c,e)
| spl3_531 ),
inference(avatar_component_clause,[],[f3679]) ).
fof(f3679,plain,
( spl3_531
<=> point_equal(c,e) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_531])]) ).
fof(f16650,plain,
( ! [X0] :
( point_equal(X0,e)
| ~ incident(X0,l)
| ~ incident(X0,o) )
| ~ spl3_1938 ),
inference(avatar_component_clause,[],[f16649]) ).
fof(f16649,plain,
( spl3_1938
<=> ! [X0] :
( point_equal(X0,e)
| ~ incident(X0,l)
| ~ incident(X0,o) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1938])]) ).
fof(f51819,plain,
( spl3_563
| ~ spl3_1572 ),
inference(avatar_contradiction_clause,[],[f51818]) ).
fof(f51818,plain,
( $false
| spl3_563
| ~ spl3_1572 ),
inference(subsumption_resolution,[],[f51817,f129]) ).
fof(f51817,plain,
( ~ incident(a,s)
| spl3_563
| ~ spl3_1572 ),
inference(subsumption_resolution,[],[f51798,f127]) ).
fof(f51798,plain,
( ~ incident(a,l)
| ~ incident(a,s)
| spl3_563
| ~ spl3_1572 ),
inference(resolution,[],[f11756,f3865]) ).
fof(f11756,plain,
( ! [X0] :
( point_equal(X0,f)
| ~ incident(X0,l)
| ~ incident(X0,s) )
| ~ spl3_1572 ),
inference(avatar_component_clause,[],[f11755]) ).
fof(f51774,plain,
( ~ spl3_1526
| spl3_2095 ),
inference(avatar_contradiction_clause,[],[f51773]) ).
fof(f51773,plain,
( $false
| ~ spl3_1526
| spl3_2095 ),
inference(subsumption_resolution,[],[f51772,f138]) ).
fof(f51772,plain,
( ~ incident(e,q)
| ~ spl3_1526
| spl3_2095 ),
inference(subsumption_resolution,[],[f51761,f144]) ).
fof(f51761,plain,
( ~ incident(e,m)
| ~ incident(e,q)
| ~ spl3_1526
| spl3_2095 ),
inference(resolution,[],[f11055,f19770]) ).
fof(f19770,plain,
( ~ point_equal(e,h)
| spl3_2095 ),
inference(avatar_component_clause,[],[f19769]) ).
fof(f11055,plain,
( ! [X0] :
( point_equal(X0,h)
| ~ incident(X0,m)
| ~ incident(X0,q) )
| ~ spl3_1526 ),
inference(avatar_component_clause,[],[f11054]) ).
fof(f11054,plain,
( spl3_1526
<=> ! [X0] :
( point_equal(X0,h)
| ~ incident(X0,m)
| ~ incident(X0,q) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1526])]) ).
fof(f51325,plain,
( spl3_297
| ~ spl3_1434 ),
inference(avatar_contradiction_clause,[],[f51324]) ).
fof(f51324,plain,
( $false
| spl3_297
| ~ spl3_1434 ),
inference(subsumption_resolution,[],[f51323,f119]) ).
fof(f51323,plain,
( ~ incident(i,s)
| spl3_297
| ~ spl3_1434 ),
inference(subsumption_resolution,[],[f51313,f123]) ).
fof(f51313,plain,
( ~ incident(i,r)
| ~ incident(i,s)
| spl3_297
| ~ spl3_1434 ),
inference(resolution,[],[f10150,f2290]) ).
fof(f2290,plain,
( ~ point_equal(i,a)
| spl3_297 ),
inference(avatar_component_clause,[],[f2289]) ).
fof(f10150,plain,
( ! [X0] :
( point_equal(X0,a)
| ~ incident(X0,r)
| ~ incident(X0,s) )
| ~ spl3_1434 ),
inference(avatar_component_clause,[],[f10149]) ).
fof(f10149,plain,
( spl3_1434
<=> ! [X0] :
( point_equal(X0,a)
| ~ incident(X0,r)
| ~ incident(X0,s) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1434])]) ).
fof(f37130,plain,
( ~ spl3_5
| ~ spl3_2624 ),
inference(avatar_contradiction_clause,[],[f37129]) ).
fof(f37129,plain,
( $false
| ~ spl3_5
| ~ spl3_2624 ),
inference(subsumption_resolution,[],[f37113,f4768]) ).
fof(f4768,plain,
( ~ incident(h,sK0(i,g))
| ~ spl3_5 ),
inference(subsumption_resolution,[],[f4748,f1250]) ).
fof(f1250,plain,
incident(g,sK0(i,g)),
inference(resolution,[],[f288,f148]) ).
fof(f148,plain,
point_equal(g,g),
inference(resolution,[],[f120,f78]) ).
fof(f288,plain,
! [X0] :
( ~ point_equal(X0,X0)
| incident(X0,sK0(i,X0)) ),
inference(resolution,[],[f146,f81]) ).
fof(f81,plain,
! [X0,X1] :
( ~ point_equal(X0,X0)
| ~ point_equal(X1,X1)
| incident(X1,sK0(X0,X1)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f4748,plain,
( ~ incident(g,sK0(i,g))
| ~ incident(h,sK0(i,g))
| ~ spl3_5 ),
inference(resolution,[],[f1314,f167]) ).
fof(f1314,plain,
incident(i,sK0(i,g)),
inference(resolution,[],[f289,f148]) ).
fof(f289,plain,
! [X0] :
( ~ point_equal(X0,X0)
| incident(i,sK0(i,X0)) ),
inference(resolution,[],[f146,f80]) ).
fof(f37113,plain,
( incident(h,sK0(i,g))
| ~ spl3_2624 ),
inference(resolution,[],[f36255,f1314]) ).
fof(f36255,plain,
( ! [X0] :
( ~ incident(i,X0)
| incident(h,X0) )
| ~ spl3_2624 ),
inference(resolution,[],[f35913,f83]) ).
fof(f35913,plain,
( point_equal(h,i)
| ~ spl3_2624 ),
inference(avatar_component_clause,[],[f35911]) ).
fof(f35911,plain,
( spl3_2624
<=> point_equal(h,i) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2624])]) ).
fof(f36851,plain,
( ~ spl3_24
| spl3_320
| ~ spl3_1355 ),
inference(avatar_contradiction_clause,[],[f36850]) ).
fof(f36850,plain,
( $false
| ~ spl3_24
| spl3_320
| ~ spl3_1355 ),
inference(subsumption_resolution,[],[f36849,f118]) ).
fof(f118,plain,
incident(h,q),
inference(resolution,[],[f88,f69]) ).
fof(f36849,plain,
( ~ incident(h,q)
| ~ spl3_24
| spl3_320
| ~ spl3_1355 ),
inference(subsumption_resolution,[],[f36825,f2442]) ).
fof(f2442,plain,
( ~ incident(b,s)
| spl3_320 ),
inference(avatar_component_clause,[],[f2440]) ).
fof(f2440,plain,
( spl3_320
<=> incident(b,s) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_320])]) ).
fof(f36825,plain,
( incident(b,s)
| ~ incident(h,q)
| ~ spl3_24
| ~ spl3_1355 ),
inference(resolution,[],[f36238,f36647]) ).
fof(f36647,plain,
( ! [X0] :
( incident(X0,s)
| ~ incident(X0,q) )
| ~ spl3_24 ),
inference(resolution,[],[f423,f87]) ).
fof(f423,plain,
( line_equal(q,s)
| ~ spl3_24 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f36238,plain,
( ! [X0] :
( ~ incident(h,X0)
| incident(b,X0) )
| ~ spl3_1355 ),
inference(resolution,[],[f8506,f83]) ).
fof(f8506,plain,
( point_equal(b,h)
| ~ spl3_1355 ),
inference(avatar_component_clause,[],[f8504]) ).
fof(f36646,plain,
( spl3_24
| ~ spl3_22 ),
inference(avatar_split_clause,[],[f36645,f404,f421]) ).
fof(f36645,plain,
( line_equal(q,s)
| ~ spl3_22 ),
inference(resolution,[],[f406,f77]) ).
fof(f406,plain,
( line_equal(s,q)
| ~ spl3_22 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f36635,plain,
( spl3_296
| ~ spl3_297 ),
inference(avatar_contradiction_clause,[],[f36634]) ).
fof(f36634,plain,
( $false
| spl3_296
| ~ spl3_297 ),
inference(subsumption_resolution,[],[f36612,f2287]) ).
fof(f2287,plain,
( ~ incident(i,l)
| spl3_296 ),
inference(avatar_component_clause,[],[f2285]) ).
fof(f36612,plain,
( incident(i,l)
| ~ spl3_297 ),
inference(resolution,[],[f36029,f127]) ).
fof(f36029,plain,
( ! [X0] :
( ~ incident(a,X0)
| incident(i,X0) )
| ~ spl3_297 ),
inference(resolution,[],[f2291,f83]) ).
fof(f36332,plain,
( spl3_1539
| ~ spl3_1449 ),
inference(avatar_split_clause,[],[f36331,f10237,f11487]) ).
fof(f11487,plain,
( spl3_1539
<=> point_equal(b,i) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1539])]) ).
fof(f10237,plain,
( spl3_1449
<=> point_equal(i,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1449])]) ).
fof(f36331,plain,
( point_equal(b,i)
| ~ spl3_1449 ),
inference(resolution,[],[f10239,f76]) ).
fof(f10239,plain,
( point_equal(i,b)
| ~ spl3_1449 ),
inference(avatar_component_clause,[],[f10237]) ).
fof(f36251,plain,
( spl3_2624
| ~ spl3_1848 ),
inference(avatar_split_clause,[],[f36250,f15973,f35911]) ).
fof(f15973,plain,
( spl3_1848
<=> point_equal(i,h) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1848])]) ).
fof(f36250,plain,
( point_equal(h,i)
| ~ spl3_1848 ),
inference(resolution,[],[f15975,f76]) ).
fof(f15975,plain,
( point_equal(i,h)
| ~ spl3_1848 ),
inference(avatar_component_clause,[],[f15973]) ).
fof(f35988,plain,
( ~ spl3_397
| ~ spl3_80
| spl3_531 ),
inference(avatar_split_clause,[],[f35987,f3679,f796,f2910]) ).
fof(f35987,plain,
( ~ incident(c,m)
| ~ spl3_80
| spl3_531 ),
inference(subsumption_resolution,[],[f35947,f3680]) ).
fof(f35947,plain,
( ~ incident(c,m)
| point_equal(c,e)
| ~ spl3_80 ),
inference(resolution,[],[f797,f132]) ).
fof(f35930,plain,
( spl3_1355
| ~ spl3_31 ),
inference(avatar_split_clause,[],[f35929,f467,f8504]) ).
fof(f467,plain,
( spl3_31
<=> point_equal(h,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_31])]) ).
fof(f35929,plain,
( point_equal(b,h)
| ~ spl3_31 ),
inference(resolution,[],[f469,f76]) ).
fof(f469,plain,
( point_equal(h,b)
| ~ spl3_31 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f35926,plain,
( ~ spl3_1406
| spl3_1846
| ~ spl3_8
| ~ spl3_38 ),
inference(avatar_split_clause,[],[f35918,f510,f182,f15809,f9711]) ).
fof(f15809,plain,
( spl3_1846
<=> point_equal(h,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1846])]) ).
fof(f182,plain,
( spl3_8
<=> incident(h,r) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f510,plain,
( spl3_38
<=> ! [X0] :
( point_equal(X0,c)
| ~ incident(X0,r)
| ~ incident(X0,o) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_38])]) ).
fof(f35918,plain,
( point_equal(h,c)
| ~ incident(h,o)
| ~ spl3_8
| ~ spl3_38 ),
inference(resolution,[],[f183,f511]) ).
fof(f511,plain,
( ! [X0] :
( ~ incident(X0,r)
| point_equal(X0,c)
| ~ incident(X0,o) )
| ~ spl3_38 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f183,plain,
( incident(h,r)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f35914,plain,
( spl3_2624
| ~ spl3_8
| ~ spl3_6
| ~ spl3_54 ),
inference(avatar_split_clause,[],[f35898,f637,f173,f182,f35911]) ).
fof(f173,plain,
( spl3_6
<=> incident(h,s) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f637,plain,
( spl3_54
<=> ! [X0] :
( point_equal(X0,i)
| ~ incident(X0,r)
| ~ incident(X0,s) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_54])]) ).
fof(f35898,plain,
( ~ incident(h,r)
| point_equal(h,i)
| ~ spl3_6
| ~ spl3_54 ),
inference(resolution,[],[f174,f638]) ).
fof(f638,plain,
( ! [X0] :
( ~ incident(X0,s)
| ~ incident(X0,r)
| point_equal(X0,i) )
| ~ spl3_54 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f174,plain,
( incident(h,s)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f35872,plain,
( ~ spl3_397
| spl3_398
| ~ spl3_44 ),
inference(avatar_split_clause,[],[f34275,f553,f2914,f2910]) ).
fof(f553,plain,
( spl3_44
<=> ! [X0] :
( point_equal(X0,d)
| ~ incident(X0,r)
| ~ incident(X0,m) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_44])]) ).
fof(f34275,plain,
( point_equal(c,d)
| ~ incident(c,m)
| ~ spl3_44 ),
inference(resolution,[],[f554,f133]) ).
fof(f554,plain,
( ! [X0] :
( ~ incident(X0,r)
| point_equal(X0,d)
| ~ incident(X0,m) )
| ~ spl3_44 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f35868,plain,
( ~ spl3_264
| spl3_265
| ~ spl3_16 ),
inference(avatar_split_clause,[],[f35299,f376,f2124,f2120]) ).
fof(f2120,plain,
( spl3_264
<=> incident(h,l) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_264])]) ).
fof(f2124,plain,
( spl3_265
<=> point_equal(h,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_265])]) ).
fof(f376,plain,
( spl3_16
<=> ! [X0] :
( point_equal(X0,a)
| ~ incident(X0,q)
| ~ incident(X0,l) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f35299,plain,
( point_equal(h,a)
| ~ incident(h,l)
| ~ spl3_16 ),
inference(resolution,[],[f377,f118]) ).
fof(f377,plain,
( ! [X0] :
( ~ incident(X0,q)
| point_equal(X0,a)
| ~ incident(X0,l) )
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f35865,plain,
( spl3_8
| ~ spl3_83 ),
inference(avatar_split_clause,[],[f33366,f816,f182]) ).
fof(f816,plain,
( spl3_83
<=> line_equal(p,r) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_83])]) ).
fof(f33366,plain,
( incident(h,r)
| ~ spl3_83 ),
inference(resolution,[],[f32047,f121]) ).
fof(f32047,plain,
( ! [X0] :
( ~ incident(X0,p)
| incident(X0,r) )
| ~ spl3_83 ),
inference(resolution,[],[f818,f87]) ).
fof(f818,plain,
( line_equal(p,r)
| ~ spl3_83 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f35555,plain,
( spl3_2012
| ~ spl3_50
| ~ spl3_1942 ),
inference(avatar_split_clause,[],[f35554,f16692,f590,f18597]) ).
fof(f590,plain,
( spl3_50
<=> ! [X0] :
( point_equal(X0,g)
| ~ incident(X0,o)
| ~ incident(X0,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_50])]) ).
fof(f16692,plain,
( spl3_1942
<=> incident(f,o) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1942])]) ).
fof(f35554,plain,
( point_equal(f,g)
| ~ spl3_50
| ~ spl3_1942 ),
inference(subsumption_resolution,[],[f35547,f140]) ).
fof(f35547,plain,
( point_equal(f,g)
| ~ incident(f,n)
| ~ spl3_50
| ~ spl3_1942 ),
inference(resolution,[],[f16693,f591]) ).
fof(f591,plain,
( ! [X0] :
( ~ incident(X0,o)
| point_equal(X0,g)
| ~ incident(X0,n) )
| ~ spl3_50 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f16693,plain,
( incident(f,o)
| ~ spl3_1942 ),
inference(avatar_component_clause,[],[f16692]) ).
fof(f35530,plain,
( spl3_2223
| spl3_41
| ~ spl3_81 ),
inference(avatar_split_clause,[],[f35529,f799,f530,f21809]) ).
fof(f530,plain,
( spl3_41
<=> line_equal(o,r) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_41])]) ).
fof(f35529,plain,
( ! [X0] :
( point_equal(X0,d)
| ~ incident(X0,r)
| ~ incident(X0,o) )
| spl3_41
| ~ spl3_81 ),
inference(subsumption_resolution,[],[f35528,f531]) ).
fof(f531,plain,
( ~ line_equal(o,r)
| spl3_41 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f35528,plain,
( ! [X0] :
( line_equal(o,r)
| point_equal(X0,d)
| ~ incident(X0,r)
| ~ incident(X0,o) )
| ~ spl3_81 ),
inference(subsumption_resolution,[],[f35492,f134]) ).
fof(f35492,plain,
( ! [X0] :
( ~ incident(d,m)
| line_equal(o,r)
| point_equal(X0,d)
| ~ incident(X0,r)
| ~ incident(X0,o) )
| ~ spl3_81 ),
inference(resolution,[],[f35290,f236]) ).
fof(f236,plain,
! [X0,X1] :
( ~ incident(d,X1)
| line_equal(X1,r)
| point_equal(X0,d)
| ~ incident(X0,r)
| ~ incident(X0,X1) ),
inference(resolution,[],[f143,f91]) ).
fof(f35290,plain,
( ! [X0] :
( incident(X0,o)
| ~ incident(X0,m) )
| ~ spl3_81 ),
inference(resolution,[],[f801,f87]) ).
fof(f801,plain,
( line_equal(m,o)
| ~ spl3_81 ),
inference(avatar_component_clause,[],[f799]) ).
fof(f35527,plain,
( spl3_2249
| ~ spl3_50
| ~ spl3_81 ),
inference(avatar_split_clause,[],[f35476,f799,f590,f22685]) ).
fof(f35476,plain,
( ! [X0] :
( ~ incident(X0,m)
| point_equal(X0,g)
| ~ incident(X0,n) )
| ~ spl3_50
| ~ spl3_81 ),
inference(resolution,[],[f35290,f591]) ).
fof(f35407,plain,
( spl3_2223
| spl3_41
| ~ spl3_367 ),
inference(avatar_split_clause,[],[f35406,f2733,f530,f21809]) ).
fof(f35406,plain,
( ! [X0] :
( point_equal(X0,d)
| ~ incident(X0,r)
| ~ incident(X0,o) )
| spl3_41
| ~ spl3_367 ),
inference(subsumption_resolution,[],[f35395,f531]) ).
fof(f35395,plain,
( ! [X0] :
( line_equal(o,r)
| point_equal(X0,d)
| ~ incident(X0,r)
| ~ incident(X0,o) )
| ~ spl3_367 ),
inference(resolution,[],[f2734,f236]) ).
fof(f35289,plain,
( spl3_435
| ~ spl3_7
| ~ spl3_71 ),
inference(avatar_split_clause,[],[f35288,f737,f177,f3119]) ).
fof(f177,plain,
( spl3_7
<=> incident(g,s) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f737,plain,
( spl3_71
<=> ! [X0] :
( point_equal(X0,f)
| ~ incident(X0,n)
| ~ incident(X0,s) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_71])]) ).
fof(f35288,plain,
( point_equal(g,f)
| ~ spl3_7
| ~ spl3_71 ),
inference(subsumption_resolution,[],[f35280,f120]) ).
fof(f35280,plain,
( ~ incident(g,n)
| point_equal(g,f)
| ~ spl3_7
| ~ spl3_71 ),
inference(resolution,[],[f178,f738]) ).
fof(f738,plain,
( ! [X0] :
( ~ incident(X0,s)
| ~ incident(X0,n)
| point_equal(X0,f) )
| ~ spl3_71 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f178,plain,
( incident(g,s)
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f35269,plain,
( spl3_1847
| ~ spl3_530
| ~ spl3_52
| ~ spl3_574 ),
inference(avatar_split_clause,[],[f32628,f3937,f622,f3675,f15966]) ).
fof(f15966,plain,
( spl3_1847
<=> point_equal(c,h) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1847])]) ).
fof(f3675,plain,
( spl3_530
<=> incident(c,q) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_530])]) ).
fof(f3937,plain,
( spl3_574
<=> incident(c,p) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_574])]) ).
fof(f32628,plain,
( ~ incident(c,q)
| point_equal(c,h)
| ~ spl3_52
| ~ spl3_574 ),
inference(resolution,[],[f3938,f623]) ).
fof(f3938,plain,
( incident(c,p)
| ~ spl3_574 ),
inference(avatar_component_clause,[],[f3937]) ).
fof(f35268,plain,
( ~ spl3_264
| spl3_31
| ~ spl3_61 ),
inference(avatar_split_clause,[],[f34333,f683,f467,f2120]) ).
fof(f34333,plain,
( point_equal(h,b)
| ~ incident(h,l)
| ~ spl3_61 ),
inference(resolution,[],[f684,f121]) ).
fof(f35217,plain,
( ~ spl3_31
| spl3_789
| ~ spl3_1594 ),
inference(avatar_contradiction_clause,[],[f35216]) ).
fof(f35216,plain,
( $false
| ~ spl3_31
| spl3_789
| ~ spl3_1594 ),
inference(subsumption_resolution,[],[f35211,f5179]) ).
fof(f5179,plain,
( ~ incident(h,sK0(g,i))
| spl3_789 ),
inference(avatar_component_clause,[],[f5177]) ).
fof(f5177,plain,
( spl3_789
<=> incident(h,sK0(g,i)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_789])]) ).
fof(f35211,plain,
( incident(h,sK0(g,i))
| ~ spl3_31
| ~ spl3_1594 ),
inference(resolution,[],[f12286,f34129]) ).
fof(f34129,plain,
( ! [X0] :
( ~ incident(b,X0)
| incident(h,X0) )
| ~ spl3_31 ),
inference(resolution,[],[f469,f83]) ).
fof(f12286,plain,
( incident(b,sK0(g,i))
| ~ spl3_1594 ),
inference(avatar_component_clause,[],[f12285]) ).
fof(f12285,plain,
( spl3_1594
<=> incident(b,sK0(g,i)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1594])]) ).
fof(f35163,plain,
( spl3_454
| ~ spl3_455 ),
inference(avatar_contradiction_clause,[],[f35162]) ).
fof(f35162,plain,
( $false
| spl3_454
| ~ spl3_455 ),
inference(subsumption_resolution,[],[f35139,f3226]) ).
fof(f3226,plain,
( ~ incident(e,n)
| spl3_454 ),
inference(avatar_component_clause,[],[f3224]) ).
fof(f35139,plain,
( incident(e,n)
| ~ spl3_455 ),
inference(resolution,[],[f32556,f120]) ).
fof(f32556,plain,
( ! [X0] :
( ~ incident(g,X0)
| incident(e,X0) )
| ~ spl3_455 ),
inference(resolution,[],[f3230,f83]) ).
fof(f3230,plain,
( point_equal(e,g)
| ~ spl3_455 ),
inference(avatar_component_clause,[],[f3228]) ).
fof(f34503,plain,
( spl3_1938
| spl3_37
| ~ spl3_262 ),
inference(avatar_split_clause,[],[f34502,f2111,f505,f16649]) ).
fof(f505,plain,
( spl3_37
<=> line_equal(l,o) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_37])]) ).
fof(f34502,plain,
( ! [X0] :
( point_equal(X0,e)
| ~ incident(X0,o)
| ~ incident(X0,l) )
| spl3_37
| ~ spl3_262 ),
inference(subsumption_resolution,[],[f34496,f506]) ).
fof(f506,plain,
( ~ line_equal(l,o)
| spl3_37 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f34496,plain,
( ! [X0] :
( line_equal(l,o)
| point_equal(X0,e)
| ~ incident(X0,o)
| ~ incident(X0,l) )
| ~ spl3_262 ),
inference(resolution,[],[f2112,f233]) ).
fof(f233,plain,
! [X0,X1] :
( ~ incident(e,X1)
| line_equal(X1,o)
| point_equal(X0,e)
| ~ incident(X0,o)
| ~ incident(X0,X1) ),
inference(resolution,[],[f142,f91]) ).
fof(f2112,plain,
( incident(e,l)
| ~ spl3_262 ),
inference(avatar_component_clause,[],[f2111]) ).
fof(f34478,plain,
( spl3_2021
| spl3_17
| ~ spl3_530 ),
inference(avatar_split_clause,[],[f32582,f3675,f379,f18936]) ).
fof(f379,plain,
( spl3_17
<=> line_equal(q,l) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f32582,plain,
( ! [X0] :
( line_equal(q,l)
| point_equal(X0,c)
| ~ incident(X0,l)
| ~ incident(X0,q) )
| ~ spl3_530 ),
inference(resolution,[],[f3676,f199]) ).
fof(f199,plain,
! [X0,X1] :
( ~ incident(c,X1)
| line_equal(X1,l)
| point_equal(X0,c)
| ~ incident(X0,l)
| ~ incident(X0,X1) ),
inference(resolution,[],[f91,f117]) ).
fof(f3676,plain,
( incident(c,q)
| ~ spl3_530 ),
inference(avatar_component_clause,[],[f3675]) ).
fof(f34466,plain,
( spl3_398
| ~ spl3_353 ),
inference(avatar_split_clause,[],[f34465,f2649,f2914]) ).
fof(f34465,plain,
( point_equal(c,d)
| ~ spl3_353 ),
inference(resolution,[],[f2651,f76]) ).
fof(f2651,plain,
( point_equal(d,c)
| ~ spl3_353 ),
inference(avatar_component_clause,[],[f2649]) ).
fof(f34375,plain,
( spl3_1445
| ~ spl3_61
| ~ spl3_574 ),
inference(avatar_split_clause,[],[f34374,f3937,f683,f10209]) ).
fof(f34374,plain,
( point_equal(c,b)
| ~ spl3_61
| ~ spl3_574 ),
inference(subsumption_resolution,[],[f34331,f117]) ).
fof(f34331,plain,
( point_equal(c,b)
| ~ incident(c,l)
| ~ spl3_61
| ~ spl3_574 ),
inference(resolution,[],[f684,f3938]) ).
fof(f34109,plain,
( spl3_548
| ~ spl3_48
| ~ spl3_454 ),
inference(avatar_split_clause,[],[f32877,f3224,f576,f3776]) ).
fof(f32877,plain,
( point_equal(f,e)
| ~ spl3_48
| ~ spl3_454 ),
inference(resolution,[],[f32548,f76]) ).
fof(f32548,plain,
( point_equal(e,f)
| ~ spl3_48
| ~ spl3_454 ),
inference(subsumption_resolution,[],[f32537,f144]) ).
fof(f32537,plain,
( point_equal(e,f)
| ~ incident(e,m)
| ~ spl3_48
| ~ spl3_454 ),
inference(resolution,[],[f3225,f577]) ).
fof(f3225,plain,
( incident(e,n)
| ~ spl3_454 ),
inference(avatar_component_clause,[],[f3224]) ).
fof(f34108,plain,
( spl3_352
| ~ spl3_15 ),
inference(avatar_split_clause,[],[f32797,f371,f2645]) ).
fof(f371,plain,
( spl3_15
<=> line_equal(m,l) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f32797,plain,
( incident(d,l)
| ~ spl3_15 ),
inference(resolution,[],[f32016,f134]) ).
fof(f32016,plain,
( ! [X0] :
( ~ incident(X0,m)
| incident(X0,l) )
| ~ spl3_15 ),
inference(resolution,[],[f373,f87]) ).
fof(f373,plain,
( line_equal(m,l)
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f34107,plain,
( spl3_295
| ~ spl3_1843 ),
inference(avatar_split_clause,[],[f34106,f15734,f2280]) ).
fof(f34106,plain,
( point_equal(f,a)
| ~ spl3_1843 ),
inference(subsumption_resolution,[],[f32212,f124]) ).
fof(f32212,plain,
( ~ incident(f,m)
| point_equal(f,a)
| ~ spl3_1843 ),
inference(resolution,[],[f15735,f139]) ).
fof(f15735,plain,
( ! [X0] :
( ~ incident(X0,s)
| ~ incident(X0,m)
| point_equal(X0,a) )
| ~ spl3_1843 ),
inference(avatar_component_clause,[],[f15734]) ).
fof(f34097,plain,
( ~ spl3_294
| spl3_25
| ~ spl3_59 ),
inference(avatar_split_clause,[],[f30162,f675,f433,f2276]) ).
fof(f30162,plain,
( point_equal(f,b)
| ~ incident(f,l)
| ~ spl3_59 ),
inference(resolution,[],[f676,f140]) ).
fof(f34081,plain,
( ~ spl3_399
| spl3_417
| ~ spl3_46 ),
inference(avatar_split_clause,[],[f30131,f568,f3019,f2919]) ).
fof(f2919,plain,
( spl3_399
<=> incident(i,m) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_399])]) ).
fof(f3019,plain,
( spl3_417
<=> point_equal(i,f) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_417])]) ).
fof(f568,plain,
( spl3_46
<=> ! [X0] :
( point_equal(X0,f)
| ~ incident(X0,s)
| ~ incident(X0,m) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_46])]) ).
fof(f30131,plain,
( point_equal(i,f)
| ~ incident(i,m)
| ~ spl3_46 ),
inference(resolution,[],[f569,f119]) ).
fof(f569,plain,
( ! [X0] :
( ~ incident(X0,s)
| point_equal(X0,f)
| ~ incident(X0,m) )
| ~ spl3_46 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f34069,plain,
( spl3_1987
| spl3_82
| ~ spl3_397 ),
inference(avatar_split_clause,[],[f30824,f2910,f811,f17467]) ).
fof(f811,plain,
( spl3_82
<=> line_equal(m,r) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_82])]) ).
fof(f30824,plain,
( ! [X0] :
( line_equal(m,r)
| point_equal(X0,c)
| ~ incident(X0,r)
| ~ incident(X0,m) )
| ~ spl3_397 ),
inference(resolution,[],[f2911,f201]) ).
fof(f201,plain,
! [X0,X1] :
( ~ incident(c,X1)
| line_equal(X1,r)
| point_equal(X0,c)
| ~ incident(X0,r)
| ~ incident(X0,X1) ),
inference(resolution,[],[f91,f133]) ).
fof(f2911,plain,
( incident(c,m)
| ~ spl3_397 ),
inference(avatar_component_clause,[],[f2910]) ).
fof(f34054,plain,
( spl3_2002
| spl3_40
| ~ spl3_352 ),
inference(avatar_split_clause,[],[f32457,f2645,f525,f18319]) ).
fof(f525,plain,
( spl3_40
<=> line_equal(l,r) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_40])]) ).
fof(f32457,plain,
( ! [X0] :
( line_equal(l,r)
| point_equal(X0,d)
| ~ incident(X0,r)
| ~ incident(X0,l) )
| ~ spl3_352 ),
inference(resolution,[],[f2646,f236]) ).
fof(f2646,plain,
( incident(d,l)
| ~ spl3_352 ),
inference(avatar_component_clause,[],[f2645]) ).
fof(f34045,plain,
( spl3_6
| ~ spl3_265 ),
inference(avatar_split_clause,[],[f34011,f2124,f173]) ).
fof(f34011,plain,
( incident(h,s)
| ~ spl3_265 ),
inference(resolution,[],[f32143,f129]) ).
fof(f32143,plain,
( ! [X0] :
( ~ incident(a,X0)
| incident(h,X0) )
| ~ spl3_265 ),
inference(resolution,[],[f2126,f83]) ).
fof(f2126,plain,
( point_equal(h,a)
| ~ spl3_265 ),
inference(avatar_component_clause,[],[f2124]) ).
fof(f33271,plain,
( spl3_1526
| ~ spl3_52
| ~ spl3_76 ),
inference(avatar_split_clause,[],[f33223,f774,f622,f11054]) ).
fof(f33223,plain,
( ! [X0] :
( ~ incident(X0,m)
| ~ incident(X0,q)
| point_equal(X0,h) )
| ~ spl3_52
| ~ spl3_76 ),
inference(resolution,[],[f32038,f623]) ).
fof(f32038,plain,
( ! [X0] :
( incident(X0,p)
| ~ incident(X0,m) )
| ~ spl3_76 ),
inference(resolution,[],[f776,f87]) ).
fof(f776,plain,
( line_equal(m,p)
| ~ spl3_76 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f32988,plain,
( spl3_1434
| ~ spl3_40
| spl3_55 ),
inference(avatar_split_clause,[],[f32987,f640,f525,f10149]) ).
fof(f640,plain,
( spl3_55
<=> line_equal(r,s) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_55])]) ).
fof(f32987,plain,
( ! [X0] :
( point_equal(X0,a)
| ~ incident(X0,s)
| ~ incident(X0,r) )
| ~ spl3_40
| spl3_55 ),
inference(subsumption_resolution,[],[f32986,f641]) ).
fof(f641,plain,
( ~ line_equal(r,s)
| spl3_55 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f32986,plain,
( ! [X0] :
( line_equal(r,s)
| point_equal(X0,a)
| ~ incident(X0,s)
| ~ incident(X0,r) )
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f32941,f127]) ).
fof(f32941,plain,
( ! [X0] :
( ~ incident(a,l)
| line_equal(r,s)
| point_equal(X0,a)
| ~ incident(X0,s)
| ~ incident(X0,r) )
| ~ spl3_40 ),
inference(resolution,[],[f32026,f196]) ).
fof(f32026,plain,
( ! [X0] :
( incident(X0,r)
| ~ incident(X0,l) )
| ~ spl3_40 ),
inference(resolution,[],[f527,f87]) ).
fof(f527,plain,
( line_equal(l,r)
| ~ spl3_40 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f32520,plain,
( ~ spl3_1943
| spl3_369
| ~ spl3_417 ),
inference(avatar_split_clause,[],[f32517,f3019,f2742,f16696]) ).
fof(f32517,plain,
( ~ point_equal(f,c)
| spl3_369
| ~ spl3_417 ),
inference(resolution,[],[f2743,f30275]) ).
fof(f30275,plain,
( ! [X0] :
( point_equal(i,X0)
| ~ point_equal(f,X0) )
| ~ spl3_417 ),
inference(resolution,[],[f3021,f82]) ).
fof(f3021,plain,
( point_equal(i,f)
| ~ spl3_417 ),
inference(avatar_component_clause,[],[f3019]) ).
fof(f2743,plain,
( ~ point_equal(i,c)
| spl3_369 ),
inference(avatar_component_clause,[],[f2742]) ).
fof(f31993,plain,
( ~ spl3_434
| spl3_9
| ~ spl3_82 ),
inference(avatar_split_clause,[],[f31992,f811,f186,f3115]) ).
fof(f186,plain,
( spl3_9
<=> incident(g,r) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f31992,plain,
( ~ incident(g,m)
| spl3_9
| ~ spl3_82 ),
inference(resolution,[],[f188,f30821]) ).
fof(f30821,plain,
( ! [X0] :
( incident(X0,r)
| ~ incident(X0,m) )
| ~ spl3_82 ),
inference(resolution,[],[f813,f87]) ).
fof(f813,plain,
( line_equal(m,r)
| ~ spl3_82 ),
inference(avatar_component_clause,[],[f811]) ).
fof(f188,plain,
( ~ incident(g,r)
| spl3_9 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f31964,plain,
( spl3_1799
| ~ spl3_310
| ~ spl3_25
| ~ spl3_52 ),
inference(avatar_split_clause,[],[f31963,f622,f433,f2369,f15317]) ).
fof(f31963,plain,
( ~ incident(f,q)
| point_equal(f,h)
| ~ spl3_25
| ~ spl3_52 ),
inference(subsumption_resolution,[],[f30708,f131]) ).
fof(f30708,plain,
( ~ incident(b,p)
| ~ incident(f,q)
| point_equal(f,h)
| ~ spl3_25
| ~ spl3_52 ),
inference(resolution,[],[f30020,f623]) ).
fof(f30020,plain,
( ! [X0] :
( incident(f,X0)
| ~ incident(b,X0) )
| ~ spl3_25 ),
inference(resolution,[],[f435,f83]) ).
fof(f31959,plain,
( ~ spl3_262
| spl3_263
| ~ spl3_16 ),
inference(avatar_split_clause,[],[f18993,f376,f2115,f2111]) ).
fof(f18993,plain,
( point_equal(e,a)
| ~ incident(e,l)
| ~ spl3_16 ),
inference(resolution,[],[f377,f138]) ).
fof(f31896,plain,
( spl3_1497
| spl3_15
| ~ spl3_397 ),
inference(avatar_split_clause,[],[f30826,f2910,f371,f10873]) ).
fof(f30826,plain,
( ! [X0] :
( line_equal(m,l)
| point_equal(X0,c)
| ~ incident(X0,l)
| ~ incident(X0,m) )
| ~ spl3_397 ),
inference(resolution,[],[f2911,f199]) ).
fof(f31866,plain,
( spl3_7
| ~ spl3_435 ),
inference(avatar_contradiction_clause,[],[f31865]) ).
fof(f31865,plain,
( $false
| spl3_7
| ~ spl3_435 ),
inference(subsumption_resolution,[],[f31840,f179]) ).
fof(f179,plain,
( ~ incident(g,s)
| spl3_7 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f31840,plain,
( incident(g,s)
| ~ spl3_435 ),
inference(resolution,[],[f30287,f139]) ).
fof(f30287,plain,
( ! [X0] :
( ~ incident(f,X0)
| incident(g,X0) )
| ~ spl3_435 ),
inference(resolution,[],[f3121,f83]) ).
fof(f3121,plain,
( point_equal(g,f)
| ~ spl3_435 ),
inference(avatar_component_clause,[],[f3119]) ).
fof(f31862,plain,
( ~ spl3_294
| spl3_337
| ~ spl3_435 ),
inference(avatar_contradiction_clause,[],[f31861]) ).
fof(f31861,plain,
( $false
| ~ spl3_294
| spl3_337
| ~ spl3_435 ),
inference(subsumption_resolution,[],[f31834,f2556]) ).
fof(f2556,plain,
( ~ incident(g,l)
| spl3_337 ),
inference(avatar_component_clause,[],[f2554]) ).
fof(f2554,plain,
( spl3_337
<=> incident(g,l) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_337])]) ).
fof(f31834,plain,
( incident(g,l)
| ~ spl3_294
| ~ spl3_435 ),
inference(resolution,[],[f30287,f2277]) ).
fof(f30944,plain,
( spl3_1995
| spl3_1536
| ~ spl3_565 ),
inference(avatar_split_clause,[],[f30313,f3873,f11323,f17547]) ).
fof(f11323,plain,
( spl3_1536
<=> line_equal(n,r) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1536])]) ).
fof(f30313,plain,
( ! [X0] :
( line_equal(n,r)
| point_equal(X0,i)
| ~ incident(X0,r)
| ~ incident(X0,n) )
| ~ spl3_565 ),
inference(resolution,[],[f3874,f209]) ).
fof(f209,plain,
! [X0,X1] :
( ~ incident(i,X1)
| line_equal(X1,r)
| point_equal(X0,i)
| ~ incident(X0,r)
| ~ incident(X0,X1) ),
inference(resolution,[],[f91,f123]) ).
fof(f3874,plain,
( incident(i,n)
| ~ spl3_565 ),
inference(avatar_component_clause,[],[f3873]) ).
fof(f30811,plain,
( spl3_1986
| spl3_82
| ~ spl3_399 ),
inference(avatar_split_clause,[],[f28647,f2919,f811,f17463]) ).
fof(f28647,plain,
( ! [X0] :
( line_equal(m,r)
| point_equal(X0,i)
| ~ incident(X0,r)
| ~ incident(X0,m) )
| ~ spl3_399 ),
inference(resolution,[],[f2920,f209]) ).
fof(f2920,plain,
( incident(i,m)
| ~ spl3_399 ),
inference(avatar_component_clause,[],[f2919]) ).
fof(f30726,plain,
( spl3_2200
| ~ spl3_44
| ~ spl3_1801 ),
inference(avatar_split_clause,[],[f30723,f15452,f553,f21472]) ).
fof(f15452,plain,
( spl3_1801
<=> incident(e,r) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1801])]) ).
fof(f30723,plain,
( point_equal(d,e)
| ~ spl3_44
| ~ spl3_1801 ),
inference(resolution,[],[f30689,f76]) ).
fof(f30689,plain,
( point_equal(e,d)
| ~ spl3_44
| ~ spl3_1801 ),
inference(subsumption_resolution,[],[f30680,f144]) ).
fof(f30680,plain,
( point_equal(e,d)
| ~ incident(e,m)
| ~ spl3_44
| ~ spl3_1801 ),
inference(resolution,[],[f15453,f554]) ).
fof(f15453,plain,
( incident(e,r)
| ~ spl3_1801 ),
inference(avatar_component_clause,[],[f15452]) ).
fof(f30332,plain,
( ~ spl3_334
| ~ spl3_5
| ~ spl3_565 ),
inference(avatar_split_clause,[],[f30324,f3873,f113,f2524]) ).
fof(f2524,plain,
( spl3_334
<=> incident(h,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_334])]) ).
fof(f30324,plain,
( ~ incident(h,n)
| ~ spl3_5
| ~ spl3_565 ),
inference(subsumption_resolution,[],[f30315,f120]) ).
fof(f30315,plain,
( ~ incident(g,n)
| ~ incident(h,n)
| ~ spl3_5
| ~ spl3_565 ),
inference(resolution,[],[f3874,f167]) ).
fof(f30328,plain,
( spl3_1449
| ~ spl3_59
| ~ spl3_296
| ~ spl3_565 ),
inference(avatar_split_clause,[],[f30327,f3873,f2285,f675,f10237]) ).
fof(f30327,plain,
( point_equal(i,b)
| ~ spl3_59
| ~ spl3_296
| ~ spl3_565 ),
inference(subsumption_resolution,[],[f30316,f2286]) ).
fof(f2286,plain,
( incident(i,l)
| ~ spl3_296 ),
inference(avatar_component_clause,[],[f2285]) ).
fof(f30316,plain,
( point_equal(i,b)
| ~ incident(i,l)
| ~ spl3_59
| ~ spl3_565 ),
inference(resolution,[],[f3874,f676]) ).
fof(f30307,plain,
( spl3_1943
| ~ spl3_35
| ~ spl3_294
| ~ spl3_494 ),
inference(avatar_split_clause,[],[f30306,f3447,f2276,f490,f16696]) ).
fof(f30306,plain,
( point_equal(f,c)
| ~ spl3_35
| ~ spl3_294
| ~ spl3_494 ),
inference(subsumption_resolution,[],[f30297,f2277]) ).
fof(f30297,plain,
( point_equal(f,c)
| ~ incident(f,l)
| ~ spl3_35
| ~ spl3_494 ),
inference(resolution,[],[f3448,f491]) ).
fof(f3448,plain,
( incident(f,r)
| ~ spl3_494 ),
inference(avatar_component_clause,[],[f3447]) ).
fof(f30195,plain,
( ~ spl3_337
| spl3_27
| ~ spl3_59 ),
inference(avatar_split_clause,[],[f30194,f675,f441,f2554]) ).
fof(f441,plain,
( spl3_27
<=> point_equal(g,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_27])]) ).
fof(f30194,plain,
( ~ incident(g,l)
| spl3_27
| ~ spl3_59 ),
inference(subsumption_resolution,[],[f30163,f442]) ).
fof(f442,plain,
( ~ point_equal(g,b)
| spl3_27 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f30163,plain,
( point_equal(g,b)
| ~ incident(g,l)
| ~ spl3_59 ),
inference(resolution,[],[f676,f120]) ).
fof(f30116,plain,
( spl3_1941
| ~ spl3_42
| ~ spl3_1940 ),
inference(avatar_split_clause,[],[f30115,f16681,f545,f16685]) ).
fof(f30115,plain,
( point_equal(f,d)
| ~ spl3_42
| ~ spl3_1940 ),
inference(subsumption_resolution,[],[f30073,f124]) ).
fof(f30073,plain,
( point_equal(f,d)
| ~ incident(f,m)
| ~ spl3_42
| ~ spl3_1940 ),
inference(resolution,[],[f546,f16682]) ).
fof(f29984,plain,
( ~ spl3_337
| spl3_338
| ~ spl3_33 ),
inference(avatar_split_clause,[],[f16732,f482,f2558,f2554]) ).
fof(f2558,plain,
( spl3_338
<=> point_equal(g,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_338])]) ).
fof(f482,plain,
( spl3_33
<=> ! [X0] :
( point_equal(X0,c)
| ~ incident(X0,o)
| ~ incident(X0,l) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_33])]) ).
fof(f16732,plain,
( point_equal(g,c)
| ~ incident(g,l)
| ~ spl3_33 ),
inference(resolution,[],[f483,f122]) ).
fof(f483,plain,
( ! [X0] :
( ~ incident(X0,o)
| point_equal(X0,c)
| ~ incident(X0,l) )
| ~ spl3_33 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f29964,plain,
( spl3_337
| ~ spl3_338 ),
inference(avatar_split_clause,[],[f21141,f2558,f2554]) ).
fof(f21141,plain,
( incident(g,l)
| ~ spl3_338 ),
inference(resolution,[],[f16894,f117]) ).
fof(f16894,plain,
( ! [X0] :
( ~ incident(c,X0)
| incident(g,X0) )
| ~ spl3_338 ),
inference(resolution,[],[f2560,f83]) ).
fof(f2560,plain,
( point_equal(g,c)
| ~ spl3_338 ),
inference(avatar_component_clause,[],[f2558]) ).
fof(f29939,plain,
( spl3_2020
| spl3_70
| ~ spl3_399 ),
inference(avatar_split_clause,[],[f28648,f2919,f732,f18810]) ).
fof(f28648,plain,
( ! [X0] :
( line_equal(m,s)
| point_equal(X0,i)
| ~ incident(X0,s)
| ~ incident(X0,m) )
| ~ spl3_399 ),
inference(resolution,[],[f2920,f208]) ).
fof(f208,plain,
! [X0,X1] :
( ~ incident(i,X1)
| line_equal(X1,s)
| point_equal(X0,i)
| ~ incident(X0,s)
| ~ incident(X0,X1) ),
inference(resolution,[],[f91,f119]) ).
fof(f29901,plain,
( ~ spl3_263
| spl3_454
| ~ spl3_564 ),
inference(avatar_contradiction_clause,[],[f29900]) ).
fof(f29900,plain,
( $false
| ~ spl3_263
| spl3_454
| ~ spl3_564 ),
inference(subsumption_resolution,[],[f29875,f3226]) ).
fof(f29875,plain,
( incident(e,n)
| ~ spl3_263
| ~ spl3_564 ),
inference(resolution,[],[f27590,f3869]) ).
fof(f27590,plain,
( ! [X0] :
( ~ incident(a,X0)
| incident(e,X0) )
| ~ spl3_263 ),
inference(resolution,[],[f2117,f83]) ).
fof(f2117,plain,
( point_equal(e,a)
| ~ spl3_263 ),
inference(avatar_component_clause,[],[f2115]) ).
fof(f29899,plain,
( spl3_262
| ~ spl3_263 ),
inference(avatar_contradiction_clause,[],[f29898]) ).
fof(f29898,plain,
( $false
| spl3_262
| ~ spl3_263 ),
inference(subsumption_resolution,[],[f29873,f2113]) ).
fof(f29873,plain,
( incident(e,l)
| ~ spl3_263 ),
inference(resolution,[],[f27590,f127]) ).
fof(f29172,plain,
( ~ spl3_76
| spl3_2094 ),
inference(avatar_contradiction_clause,[],[f29171]) ).
fof(f29171,plain,
( $false
| ~ spl3_76
| spl3_2094 ),
inference(subsumption_resolution,[],[f29117,f144]) ).
fof(f29117,plain,
( ~ incident(e,m)
| ~ spl3_76
| spl3_2094 ),
inference(resolution,[],[f28469,f19767]) ).
fof(f19767,plain,
( ~ incident(e,p)
| spl3_2094 ),
inference(avatar_component_clause,[],[f19765]) ).
fof(f28469,plain,
( ! [X0] :
( incident(X0,p)
| ~ incident(X0,m) )
| ~ spl3_76 ),
inference(resolution,[],[f776,f87]) ).
fof(f29044,plain,
( spl3_1986
| ~ spl3_54
| ~ spl3_70 ),
inference(avatar_split_clause,[],[f28988,f732,f637,f17463]) ).
fof(f28988,plain,
( ! [X0] :
( ~ incident(X0,m)
| ~ incident(X0,r)
| point_equal(X0,i) )
| ~ spl3_54
| ~ spl3_70 ),
inference(resolution,[],[f28466,f638]) ).
fof(f28466,plain,
( ! [X0] :
( incident(X0,s)
| ~ incident(X0,m) )
| ~ spl3_70 ),
inference(resolution,[],[f734,f87]) ).
fof(f734,plain,
( line_equal(m,s)
| ~ spl3_70 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f28731,plain,
( spl3_6
| ~ spl3_31
| ~ spl3_320 ),
inference(avatar_split_clause,[],[f28669,f2440,f467,f173]) ).
fof(f28669,plain,
( incident(h,s)
| ~ spl3_31
| ~ spl3_320 ),
inference(resolution,[],[f28454,f2441]) ).
fof(f2441,plain,
( incident(b,s)
| ~ spl3_320 ),
inference(avatar_component_clause,[],[f2440]) ).
fof(f28454,plain,
( ! [X0] :
( ~ incident(b,X0)
| incident(h,X0) )
| ~ spl3_31 ),
inference(resolution,[],[f469,f83]) ).
fof(f28430,plain,
( spl3_1848
| ~ spl3_311
| ~ spl3_52
| ~ spl3_575 ),
inference(avatar_split_clause,[],[f22637,f3942,f622,f2374,f15973]) ).
fof(f3942,plain,
( spl3_575
<=> incident(i,p) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_575])]) ).
fof(f22637,plain,
( ~ incident(i,q)
| point_equal(i,h)
| ~ spl3_52
| ~ spl3_575 ),
inference(resolution,[],[f3943,f623]) ).
fof(f3943,plain,
( incident(i,p)
| ~ spl3_575 ),
inference(avatar_component_clause,[],[f3942]) ).
fof(f28412,plain,
( spl3_29
| ~ spl3_2419 ),
inference(avatar_split_clause,[],[f28411,f27554,f459]) ).
fof(f28411,plain,
( point_equal(d,b)
| ~ spl3_2419 ),
inference(subsumption_resolution,[],[f27843,f134]) ).
fof(f27843,plain,
( point_equal(d,b)
| ~ incident(d,m)
| ~ spl3_2419 ),
inference(resolution,[],[f27555,f141]) ).
fof(f27555,plain,
( ! [X0] :
( ~ incident(X0,p)
| point_equal(X0,b)
| ~ incident(X0,m) )
| ~ spl3_2419 ),
inference(avatar_component_clause,[],[f27554]) ).
fof(f28410,plain,
( ~ spl3_52
| spl3_265
| ~ spl3_1439 ),
inference(avatar_contradiction_clause,[],[f28409]) ).
fof(f28409,plain,
( $false
| ~ spl3_52
| spl3_265
| ~ spl3_1439 ),
inference(subsumption_resolution,[],[f28408,f2125]) ).
fof(f2125,plain,
( ~ point_equal(h,a)
| spl3_265 ),
inference(avatar_component_clause,[],[f2124]) ).
fof(f28408,plain,
( point_equal(h,a)
| ~ spl3_52
| ~ spl3_1439 ),
inference(resolution,[],[f28405,f76]) ).
fof(f28405,plain,
( point_equal(a,h)
| ~ spl3_52
| ~ spl3_1439 ),
inference(subsumption_resolution,[],[f28393,f128]) ).
fof(f28393,plain,
( ~ incident(a,q)
| point_equal(a,h)
| ~ spl3_52
| ~ spl3_1439 ),
inference(resolution,[],[f10171,f623]) ).
fof(f10171,plain,
( incident(a,p)
| ~ spl3_1439 ),
inference(avatar_component_clause,[],[f10170]) ).
fof(f28383,plain,
( spl3_1439
| ~ spl3_491
| ~ spl3_575 ),
inference(avatar_split_clause,[],[f28359,f3942,f3434,f10170]) ).
fof(f28359,plain,
( incident(a,p)
| ~ spl3_491
| ~ spl3_575 ),
inference(resolution,[],[f27000,f3943]) ).
fof(f27000,plain,
( ! [X0] :
( ~ incident(i,X0)
| incident(a,X0) )
| ~ spl3_491 ),
inference(resolution,[],[f3436,f83]) ).
fof(f3436,plain,
( point_equal(a,i)
| ~ spl3_491 ),
inference(avatar_component_clause,[],[f3434]) ).
fof(f28115,plain,
( spl3_8
| ~ spl3_1846 ),
inference(avatar_contradiction_clause,[],[f28114]) ).
fof(f28114,plain,
( $false
| spl3_8
| ~ spl3_1846 ),
inference(subsumption_resolution,[],[f28089,f184]) ).
fof(f184,plain,
( ~ incident(h,r)
| spl3_8 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f28089,plain,
( incident(h,r)
| ~ spl3_1846 ),
inference(resolution,[],[f25152,f133]) ).
fof(f25152,plain,
( ! [X0] :
( ~ incident(c,X0)
| incident(h,X0) )
| ~ spl3_1846 ),
inference(resolution,[],[f15811,f83]) ).
fof(f15811,plain,
( point_equal(h,c)
| ~ spl3_1846 ),
inference(avatar_component_clause,[],[f15809]) ).
fof(f28109,plain,
( spl3_264
| ~ spl3_1846 ),
inference(avatar_contradiction_clause,[],[f28108]) ).
fof(f28108,plain,
( $false
| spl3_264
| ~ spl3_1846 ),
inference(subsumption_resolution,[],[f28086,f2122]) ).
fof(f2122,plain,
( ~ incident(h,l)
| spl3_264 ),
inference(avatar_component_clause,[],[f2120]) ).
fof(f28086,plain,
( incident(h,l)
| ~ spl3_1846 ),
inference(resolution,[],[f25152,f117]) ).
fof(f27557,plain,
( spl3_1844
| spl3_87
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f26887,f259,f842,f15738]) ).
fof(f842,plain,
( spl3_87
<=> line_equal(q,m) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_87])]) ).
fof(f26887,plain,
( ! [X0] :
( line_equal(q,m)
| point_equal(X0,a)
| ~ incident(X0,m)
| ~ incident(X0,q) )
| ~ spl3_10 ),
inference(resolution,[],[f26475,f128]) ).
fof(f26475,plain,
( ! [X0,X1] :
( ~ incident(a,X1)
| line_equal(X1,m)
| point_equal(X0,a)
| ~ incident(X0,m)
| ~ incident(X0,X1) )
| ~ spl3_10 ),
inference(resolution,[],[f261,f91]) ).
fof(f27551,plain,
( spl3_3
| ~ spl3_43
| ~ spl3_66 ),
inference(avatar_contradiction_clause,[],[f27550]) ).
fof(f27550,plain,
( $false
| spl3_3
| ~ spl3_43
| ~ spl3_66 ),
inference(subsumption_resolution,[],[f27549,f105]) ).
fof(f105,plain,
( ~ line_equal(p,q)
| spl3_3 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl3_3
<=> line_equal(p,q) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f27549,plain,
( line_equal(p,q)
| ~ spl3_43
| ~ spl3_66 ),
inference(resolution,[],[f26509,f708]) ).
fof(f708,plain,
( line_equal(m,q)
| ~ spl3_66 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f26509,plain,
( ! [X0] :
( ~ line_equal(m,X0)
| line_equal(p,X0) )
| ~ spl3_43 ),
inference(resolution,[],[f550,f84]) ).
fof(f27386,plain,
( spl3_1946
| ~ spl3_40
| ~ spl3_77 ),
inference(avatar_split_clause,[],[f27329,f779,f525,f16906]) ).
fof(f27329,plain,
( ! [X0] :
( ~ incident(X0,l)
| point_equal(X0,d)
| ~ incident(X0,p) )
| ~ spl3_40
| ~ spl3_77 ),
inference(resolution,[],[f26504,f780]) ).
fof(f26504,plain,
( ! [X0] :
( incident(X0,r)
| ~ incident(X0,l) )
| ~ spl3_40 ),
inference(resolution,[],[f527,f87]) ).
fof(f26384,plain,
( ~ spl3_7
| ~ spl3_9
| ~ spl3_54
| spl3_254 ),
inference(avatar_contradiction_clause,[],[f26383]) ).
fof(f26383,plain,
( $false
| ~ spl3_7
| ~ spl3_9
| ~ spl3_54
| spl3_254 ),
inference(subsumption_resolution,[],[f26364,f2027]) ).
fof(f2027,plain,
( ~ incident(g,sK0(h,i))
| spl3_254 ),
inference(avatar_component_clause,[],[f2025]) ).
fof(f2025,plain,
( spl3_254
<=> incident(g,sK0(h,i)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_254])]) ).
fof(f26364,plain,
( incident(g,sK0(h,i))
| ~ spl3_7
| ~ spl3_9
| ~ spl3_54 ),
inference(resolution,[],[f22297,f1063]) ).
fof(f1063,plain,
incident(i,sK0(h,i)),
inference(resolution,[],[f269,f146]) ).
fof(f269,plain,
! [X0] :
( ~ point_equal(X0,X0)
| incident(X0,sK0(h,X0)) ),
inference(resolution,[],[f136,f81]) ).
fof(f136,plain,
point_equal(h,h),
inference(resolution,[],[f118,f78]) ).
fof(f22297,plain,
( ! [X0] :
( ~ incident(i,X0)
| incident(g,X0) )
| ~ spl3_7
| ~ spl3_9
| ~ spl3_54 ),
inference(resolution,[],[f21880,f83]) ).
fof(f21880,plain,
( point_equal(g,i)
| ~ spl3_7
| ~ spl3_9
| ~ spl3_54 ),
inference(subsumption_resolution,[],[f21865,f187]) ).
fof(f187,plain,
( incident(g,r)
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f21865,plain,
( ~ incident(g,r)
| point_equal(g,i)
| ~ spl3_7
| ~ spl3_54 ),
inference(resolution,[],[f178,f638]) ).
fof(f26101,plain,
( spl3_25
| ~ spl3_2248 ),
inference(avatar_split_clause,[],[f25894,f22679,f433]) ).
fof(f25894,plain,
( point_equal(f,b)
| ~ spl3_2248 ),
inference(resolution,[],[f22681,f76]) ).
fof(f26095,plain,
( ~ spl3_62
| spl3_264 ),
inference(avatar_contradiction_clause,[],[f26094]) ).
fof(f26094,plain,
( $false
| ~ spl3_62
| spl3_264 ),
inference(subsumption_resolution,[],[f26068,f2122]) ).
fof(f26068,plain,
( incident(h,l)
| ~ spl3_62 ),
inference(resolution,[],[f25983,f121]) ).
fof(f25983,plain,
( ! [X0] :
( ~ incident(X0,p)
| incident(X0,l) )
| ~ spl3_62 ),
inference(resolution,[],[f688,f87]) ).
fof(f688,plain,
( line_equal(p,l)
| ~ spl3_62 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f686,plain,
( spl3_62
<=> line_equal(p,l) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_62])]) ).
fof(f26093,plain,
( ~ spl3_62
| spl3_352 ),
inference(avatar_contradiction_clause,[],[f26092]) ).
fof(f26092,plain,
( $false
| ~ spl3_62
| spl3_352 ),
inference(subsumption_resolution,[],[f26065,f2647]) ).
fof(f26065,plain,
( incident(d,l)
| ~ spl3_62 ),
inference(resolution,[],[f25983,f141]) ).
fof(f25492,plain,
( spl3_1942
| ~ spl3_368
| ~ spl3_493 ),
inference(avatar_split_clause,[],[f25444,f3443,f2738,f16692]) ).
fof(f2738,plain,
( spl3_368
<=> incident(i,o) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_368])]) ).
fof(f25444,plain,
( incident(f,o)
| ~ spl3_368
| ~ spl3_493 ),
inference(resolution,[],[f22208,f2739]) ).
fof(f2739,plain,
( incident(i,o)
| ~ spl3_368 ),
inference(avatar_component_clause,[],[f2738]) ).
fof(f22208,plain,
( ! [X0] :
( ~ incident(i,X0)
| incident(f,X0) )
| ~ spl3_493 ),
inference(resolution,[],[f3445,f83]) ).
fof(f3445,plain,
( point_equal(f,i)
| ~ spl3_493 ),
inference(avatar_component_clause,[],[f3443]) ).
fof(f25489,plain,
( spl3_434
| ~ spl3_435 ),
inference(avatar_split_clause,[],[f25312,f3119,f3115]) ).
fof(f25312,plain,
( incident(g,m)
| ~ spl3_435 ),
inference(resolution,[],[f22198,f124]) ).
fof(f22198,plain,
( ! [X0] :
( ~ incident(f,X0)
| incident(g,X0) )
| ~ spl3_435 ),
inference(resolution,[],[f3121,f83]) ).
fof(f25440,plain,
( spl3_1941
| ~ spl3_2230 ),
inference(avatar_split_clause,[],[f22378,f21843,f16685]) ).
fof(f22378,plain,
( point_equal(f,d)
| ~ spl3_2230 ),
inference(resolution,[],[f21845,f76]) ).
fof(f21845,plain,
( point_equal(d,f)
| ~ spl3_2230 ),
inference(avatar_component_clause,[],[f21843]) ).
fof(f23574,plain,
( spl3_1801
| ~ spl3_41 ),
inference(avatar_split_clause,[],[f23522,f530,f15452]) ).
fof(f23522,plain,
( incident(e,r)
| ~ spl3_41 ),
inference(resolution,[],[f22907,f142]) ).
fof(f22907,plain,
( ! [X0] :
( ~ incident(X0,o)
| incident(X0,r) )
| ~ spl3_41 ),
inference(resolution,[],[f532,f87]) ).
fof(f532,plain,
( line_equal(o,r)
| ~ spl3_41 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f23443,plain,
( spl3_4
| ~ spl3_74
| ~ spl3_1536 ),
inference(avatar_contradiction_clause,[],[f23442]) ).
fof(f23442,plain,
( $false
| spl3_4
| ~ spl3_74
| ~ spl3_1536 ),
inference(subsumption_resolution,[],[f23440,f110]) ).
fof(f110,plain,
( ~ line_equal(s,r)
| spl3_4 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl3_4
<=> line_equal(s,r) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f23440,plain,
( line_equal(s,r)
| ~ spl3_74
| ~ spl3_1536 ),
inference(resolution,[],[f21910,f11325]) ).
fof(f11325,plain,
( line_equal(n,r)
| ~ spl3_1536 ),
inference(avatar_component_clause,[],[f11323]) ).
fof(f21910,plain,
( ! [X0] :
( ~ line_equal(n,X0)
| line_equal(s,X0) )
| ~ spl3_74 ),
inference(resolution,[],[f756,f84]) ).
fof(f23313,plain,
( spl3_2238
| ~ spl3_2254 ),
inference(avatar_split_clause,[],[f23312,f23303,f22005]) ).
fof(f23312,plain,
( point_equal(b,a)
| ~ spl3_2254 ),
inference(resolution,[],[f23305,f76]) ).
fof(f23305,plain,
( point_equal(a,b)
| ~ spl3_2254 ),
inference(avatar_component_clause,[],[f23303]) ).
fof(f23270,plain,
( spl3_564
| ~ spl3_74 ),
inference(avatar_split_clause,[],[f23210,f754,f3868]) ).
fof(f23210,plain,
( incident(a,n)
| ~ spl3_74 ),
inference(resolution,[],[f21909,f129]) ).
fof(f21909,plain,
( ! [X0] :
( ~ incident(X0,s)
| incident(X0,n) )
| ~ spl3_74 ),
inference(resolution,[],[f756,f87]) ).
fof(f22902,plain,
( spl3_296
| ~ spl3_19 ),
inference(avatar_split_clause,[],[f22840,f387,f2285]) ).
fof(f387,plain,
( spl3_19
<=> line_equal(s,l) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f22840,plain,
( incident(i,l)
| ~ spl3_19 ),
inference(resolution,[],[f21883,f119]) ).
fof(f21883,plain,
( ! [X0] :
( ~ incident(X0,s)
| incident(X0,l) )
| ~ spl3_19 ),
inference(resolution,[],[f389,f87]) ).
fof(f389,plain,
( line_equal(s,l)
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f22887,plain,
( spl3_29
| ~ spl3_1977 ),
inference(avatar_split_clause,[],[f17797,f17186,f459]) ).
fof(f17797,plain,
( point_equal(d,b)
| ~ spl3_1977 ),
inference(resolution,[],[f17188,f76]) ).
fof(f17188,plain,
( point_equal(b,d)
| ~ spl3_1977 ),
inference(avatar_component_clause,[],[f17186]) ).
fof(f22645,plain,
( ~ spl3_1641
| ~ spl3_5
| ~ spl3_575 ),
inference(avatar_split_clause,[],[f22644,f3942,f113,f13414]) ).
fof(f13414,plain,
( spl3_1641
<=> incident(g,p) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1641])]) ).
fof(f22644,plain,
( ~ incident(g,p)
| ~ spl3_5
| ~ spl3_575 ),
inference(subsumption_resolution,[],[f22634,f121]) ).
fof(f22634,plain,
( ~ incident(g,p)
| ~ incident(h,p)
| ~ spl3_5
| ~ spl3_575 ),
inference(resolution,[],[f3943,f167]) ).
fof(f22398,plain,
( spl3_400
| ~ spl3_2231 ),
inference(avatar_split_clause,[],[f22388,f21852,f2923]) ).
fof(f2923,plain,
( spl3_400
<=> point_equal(i,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_400])]) ).
fof(f22388,plain,
( point_equal(i,d)
| ~ spl3_2231 ),
inference(resolution,[],[f21854,f76]) ).
fof(f21854,plain,
( point_equal(d,i)
| ~ spl3_2231 ),
inference(avatar_component_clause,[],[f21852]) ).
fof(f22342,plain,
( spl3_1445
| ~ spl3_2191 ),
inference(avatar_contradiction_clause,[],[f22341]) ).
fof(f22341,plain,
( $false
| spl3_1445
| ~ spl3_2191 ),
inference(subsumption_resolution,[],[f22340,f10210]) ).
fof(f10210,plain,
( ~ point_equal(c,b)
| spl3_1445 ),
inference(avatar_component_clause,[],[f10209]) ).
fof(f22340,plain,
( point_equal(c,b)
| ~ spl3_2191 ),
inference(resolution,[],[f21327,f76]) ).
fof(f21327,plain,
( point_equal(b,c)
| ~ spl3_2191 ),
inference(avatar_component_clause,[],[f21325]) ).
fof(f21325,plain,
( spl3_2191
<=> point_equal(b,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2191])]) ).
fof(f22292,plain,
( spl3_1846
| ~ spl3_1847 ),
inference(avatar_contradiction_clause,[],[f22291]) ).
fof(f22291,plain,
( $false
| spl3_1846
| ~ spl3_1847 ),
inference(subsumption_resolution,[],[f22289,f15810]) ).
fof(f15810,plain,
( ~ point_equal(h,c)
| spl3_1846 ),
inference(avatar_component_clause,[],[f15809]) ).
fof(f22289,plain,
( point_equal(h,c)
| ~ spl3_1847 ),
inference(resolution,[],[f15968,f76]) ).
fof(f15968,plain,
( point_equal(c,h)
| ~ spl3_1847 ),
inference(avatar_component_clause,[],[f15966]) ).
fof(f22256,plain,
( spl3_31
| ~ spl3_1355 ),
inference(avatar_contradiction_clause,[],[f22255]) ).
fof(f22255,plain,
( $false
| spl3_31
| ~ spl3_1355 ),
inference(subsumption_resolution,[],[f22252,f468]) ).
fof(f468,plain,
( ~ point_equal(h,b)
| spl3_31 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f22252,plain,
( point_equal(h,b)
| ~ spl3_1355 ),
inference(resolution,[],[f8506,f76]) ).
fof(f22235,plain,
( spl3_1641
| ~ spl3_338
| ~ spl3_574 ),
inference(avatar_split_clause,[],[f22224,f3937,f2558,f13414]) ).
fof(f22224,plain,
( incident(g,p)
| ~ spl3_338
| ~ spl3_574 ),
inference(resolution,[],[f3938,f16894]) ).
fof(f22138,plain,
( ~ spl3_1406
| ~ spl3_5
| ~ spl3_368 ),
inference(avatar_split_clause,[],[f22137,f2738,f113,f9711]) ).
fof(f22137,plain,
( ~ incident(h,o)
| ~ spl3_5
| ~ spl3_368 ),
inference(subsumption_resolution,[],[f22129,f122]) ).
fof(f22129,plain,
( ~ incident(g,o)
| ~ incident(h,o)
| ~ spl3_5
| ~ spl3_368 ),
inference(resolution,[],[f2739,f167]) ).
fof(f21965,plain,
( ~ spl3_327
| ~ spl3_28
| spl3_51 ),
inference(avatar_split_clause,[],[f21964,f593,f445,f2480]) ).
fof(f2480,plain,
( spl3_327
<=> incident(b,o) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_327])]) ).
fof(f445,plain,
( spl3_28
<=> ! [X0] :
( line_equal(X0,n)
| ~ incident(g,X0)
| ~ incident(b,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_28])]) ).
fof(f593,plain,
( spl3_51
<=> line_equal(o,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_51])]) ).
fof(f21964,plain,
( ~ incident(b,o)
| ~ spl3_28
| spl3_51 ),
inference(subsumption_resolution,[],[f21936,f594]) ).
fof(f594,plain,
( ~ line_equal(o,n)
| spl3_51 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f21936,plain,
( line_equal(o,n)
| ~ incident(b,o)
| ~ spl3_28 ),
inference(resolution,[],[f446,f122]) ).
fof(f446,plain,
( ! [X0] :
( ~ incident(g,X0)
| line_equal(X0,n)
| ~ incident(b,X0) )
| ~ spl3_28 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f21855,plain,
( spl3_2231
| ~ spl3_320
| ~ spl3_29
| ~ spl3_54 ),
inference(avatar_split_clause,[],[f21850,f637,f459,f2440,f21852]) ).
fof(f21850,plain,
( ~ incident(b,s)
| point_equal(d,i)
| ~ spl3_29
| ~ spl3_54 ),
inference(subsumption_resolution,[],[f18721,f143]) ).
fof(f18721,plain,
( ~ incident(b,s)
| ~ incident(d,r)
| point_equal(d,i)
| ~ spl3_29
| ~ spl3_54 ),
inference(resolution,[],[f15783,f638]) ).
fof(f15783,plain,
( ! [X0] :
( incident(d,X0)
| ~ incident(b,X0) )
| ~ spl3_29 ),
inference(resolution,[],[f461,f83]) ).
fof(f461,plain,
( point_equal(d,b)
| ~ spl3_29 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f21791,plain,
( spl3_27
| ~ spl3_338
| ~ spl3_1445 ),
inference(avatar_split_clause,[],[f21213,f10209,f2558,f441]) ).
fof(f21213,plain,
( point_equal(g,b)
| ~ spl3_338
| ~ spl3_1445 ),
inference(resolution,[],[f16895,f10211]) ).
fof(f16895,plain,
( ! [X0] :
( ~ point_equal(c,X0)
| point_equal(g,X0) )
| ~ spl3_338 ),
inference(resolution,[],[f2560,f82]) ).
fof(f21742,plain,
( ~ spl3_532
| ~ spl3_5
| ~ spl3_311 ),
inference(avatar_split_clause,[],[f21741,f2374,f113,f3684]) ).
fof(f21741,plain,
( ~ incident(g,q)
| ~ spl3_5
| ~ spl3_311 ),
inference(subsumption_resolution,[],[f19359,f118]) ).
fof(f19359,plain,
( ~ incident(g,q)
| ~ incident(h,q)
| ~ spl3_5
| ~ spl3_311 ),
inference(resolution,[],[f2375,f167]) ).
fof(f2375,plain,
( incident(i,q)
| ~ spl3_311 ),
inference(avatar_component_clause,[],[f2374]) ).
fof(f21535,plain,
( spl3_1810
| ~ spl3_12
| ~ spl3_80
| ~ spl3_327 ),
inference(avatar_split_clause,[],[f21485,f2480,f796,f278,f15570]) ).
fof(f21485,plain,
( ~ incident(b,m)
| point_equal(b,e)
| ~ spl3_80
| ~ spl3_327 ),
inference(resolution,[],[f2481,f797]) ).
fof(f2481,plain,
( incident(b,o)
| ~ spl3_327 ),
inference(avatar_component_clause,[],[f2480]) ).
fof(f21495,plain,
( spl3_2191
| ~ spl3_33
| ~ spl3_327 ),
inference(avatar_split_clause,[],[f21494,f2480,f482,f21325]) ).
fof(f21494,plain,
( point_equal(b,c)
| ~ spl3_33
| ~ spl3_327 ),
inference(subsumption_resolution,[],[f21486,f137]) ).
fof(f21486,plain,
( point_equal(b,c)
| ~ incident(b,l)
| ~ spl3_33
| ~ spl3_327 ),
inference(resolution,[],[f2481,f483]) ).
fof(f21475,plain,
( ~ spl3_327
| spl3_2200
| ~ spl3_29
| ~ spl3_80 ),
inference(avatar_split_clause,[],[f21470,f796,f459,f21472,f2480]) ).
fof(f21470,plain,
( point_equal(d,e)
| ~ incident(b,o)
| ~ spl3_29
| ~ spl3_80 ),
inference(subsumption_resolution,[],[f21445,f134]) ).
fof(f21445,plain,
( ~ incident(d,m)
| point_equal(d,e)
| ~ incident(b,o)
| ~ spl3_29
| ~ spl3_80 ),
inference(resolution,[],[f797,f15783]) ).
fof(f21332,plain,
( spl3_397
| ~ spl3_398 ),
inference(avatar_split_clause,[],[f21293,f2914,f2910]) ).
fof(f21293,plain,
( incident(c,m)
| ~ spl3_398 ),
inference(resolution,[],[f17173,f134]) ).
fof(f17173,plain,
( ! [X0] :
( ~ incident(d,X0)
| incident(c,X0) )
| ~ spl3_398 ),
inference(resolution,[],[f2916,f83]) ).
fof(f2916,plain,
( point_equal(c,d)
| ~ spl3_398 ),
inference(avatar_component_clause,[],[f2914]) ).
fof(f21329,plain,
( spl3_327
| ~ spl3_27 ),
inference(avatar_split_clause,[],[f14942,f441,f2480]) ).
fof(f14942,plain,
( incident(b,o)
| ~ spl3_27 ),
inference(resolution,[],[f13707,f122]) ).
fof(f13707,plain,
( ! [X0] :
( ~ incident(g,X0)
| incident(b,X0) )
| ~ spl3_27 ),
inference(resolution,[],[f13669,f83]) ).
fof(f13669,plain,
( point_equal(b,g)
| ~ spl3_27 ),
inference(resolution,[],[f443,f76]) ).
fof(f443,plain,
( point_equal(g,b)
| ~ spl3_27 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f19478,plain,
( spl3_6
| ~ spl3_24 ),
inference(avatar_split_clause,[],[f19437,f421,f173]) ).
fof(f19437,plain,
( incident(h,s)
| ~ spl3_24 ),
inference(resolution,[],[f19311,f118]) ).
fof(f19311,plain,
( ! [X0] :
( ~ incident(X0,q)
| incident(X0,s) )
| ~ spl3_24 ),
inference(resolution,[],[f423,f87]) ).
fof(f19264,plain,
( ~ spl3_9
| ~ spl3_45
| spl3_434 ),
inference(avatar_contradiction_clause,[],[f19263]) ).
fof(f19263,plain,
( $false
| ~ spl3_9
| ~ spl3_45
| spl3_434 ),
inference(subsumption_resolution,[],[f19239,f3117]) ).
fof(f3117,plain,
( ~ incident(g,m)
| spl3_434 ),
inference(avatar_component_clause,[],[f3115]) ).
fof(f19239,plain,
( incident(g,m)
| ~ spl3_9
| ~ spl3_45 ),
inference(resolution,[],[f17490,f187]) ).
fof(f17490,plain,
( ! [X0] :
( ~ incident(X0,r)
| incident(X0,m) )
| ~ spl3_45 ),
inference(resolution,[],[f558,f87]) ).
fof(f558,plain,
( line_equal(r,m)
| ~ spl3_45 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f556,plain,
( spl3_45
<=> line_equal(r,m) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_45])]) ).
fof(f19260,plain,
( spl3_10
| ~ spl3_45
| ~ spl3_492 ),
inference(avatar_contradiction_clause,[],[f19259]) ).
fof(f19259,plain,
( $false
| spl3_10
| ~ spl3_45
| ~ spl3_492 ),
inference(subsumption_resolution,[],[f19233,f260]) ).
fof(f260,plain,
( ~ incident(a,m)
| spl3_10 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f19233,plain,
( incident(a,m)
| ~ spl3_45
| ~ spl3_492 ),
inference(resolution,[],[f17490,f3439]) ).
fof(f3439,plain,
( incident(a,r)
| ~ spl3_492 ),
inference(avatar_component_clause,[],[f3438]) ).
fof(f19137,plain,
( ~ spl3_81
| spl3_1942 ),
inference(avatar_contradiction_clause,[],[f19136]) ).
fof(f19136,plain,
( $false
| ~ spl3_81
| spl3_1942 ),
inference(subsumption_resolution,[],[f19100,f124]) ).
fof(f19100,plain,
( ~ incident(f,m)
| ~ spl3_81
| spl3_1942 ),
inference(resolution,[],[f15831,f16694]) ).
fof(f16694,plain,
( ~ incident(f,o)
| spl3_1942 ),
inference(avatar_component_clause,[],[f16692]) ).
fof(f15831,plain,
( ! [X0] :
( incident(X0,o)
| ~ incident(X0,m) )
| ~ spl3_81 ),
inference(resolution,[],[f801,f87]) ).
fof(f18934,plain,
( ~ spl3_40
| ~ spl3_62
| spl3_83 ),
inference(avatar_contradiction_clause,[],[f18933]) ).
fof(f18933,plain,
( $false
| ~ spl3_40
| ~ spl3_62
| spl3_83 ),
inference(subsumption_resolution,[],[f18928,f817]) ).
fof(f817,plain,
( ~ line_equal(p,r)
| spl3_83 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f18928,plain,
( line_equal(p,r)
| ~ spl3_40
| ~ spl3_62 ),
inference(resolution,[],[f15821,f527]) ).
fof(f15821,plain,
( ! [X0] :
( ~ line_equal(l,X0)
| line_equal(p,X0) )
| ~ spl3_62 ),
inference(resolution,[],[f688,f84]) ).
fof(f18932,plain,
( spl3_3
| ~ spl3_20
| ~ spl3_62 ),
inference(avatar_contradiction_clause,[],[f18931]) ).
fof(f18931,plain,
( $false
| spl3_3
| ~ spl3_20
| ~ spl3_62 ),
inference(subsumption_resolution,[],[f18927,f105]) ).
fof(f18927,plain,
( line_equal(p,q)
| ~ spl3_20
| ~ spl3_62 ),
inference(resolution,[],[f15821,f398]) ).
fof(f398,plain,
( line_equal(l,q)
| ~ spl3_20 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f396,plain,
( spl3_20
<=> line_equal(l,q) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).
fof(f18816,plain,
( spl3_263
| ~ spl3_1844 ),
inference(avatar_split_clause,[],[f18815,f15738,f2115]) ).
fof(f18815,plain,
( point_equal(e,a)
| ~ spl3_1844 ),
inference(subsumption_resolution,[],[f17307,f144]) ).
fof(f17307,plain,
( ~ incident(e,m)
| point_equal(e,a)
| ~ spl3_1844 ),
inference(resolution,[],[f15739,f138]) ).
fof(f15739,plain,
( ! [X0] :
( ~ incident(X0,q)
| ~ incident(X0,m)
| point_equal(X0,a) )
| ~ spl3_1844 ),
inference(avatar_component_clause,[],[f15738]) ).
fof(f18784,plain,
( spl3_4
| ~ spl3_47
| ~ spl3_82 ),
inference(avatar_contradiction_clause,[],[f18783]) ).
fof(f18783,plain,
( $false
| spl3_4
| ~ spl3_47
| ~ spl3_82 ),
inference(subsumption_resolution,[],[f18781,f110]) ).
fof(f18781,plain,
( line_equal(s,r)
| ~ spl3_47
| ~ spl3_82 ),
inference(resolution,[],[f15817,f813]) ).
fof(f15817,plain,
( ! [X0] :
( ~ line_equal(m,X0)
| line_equal(s,X0) )
| ~ spl3_47 ),
inference(resolution,[],[f573,f84]) ).
fof(f573,plain,
( line_equal(s,m)
| ~ spl3_47 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f571,plain,
( spl3_47
<=> line_equal(s,m) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_47])]) ).
fof(f18752,plain,
( ~ spl3_29
| spl3_400
| ~ spl3_1539 ),
inference(avatar_contradiction_clause,[],[f18751]) ).
fof(f18751,plain,
( $false
| ~ spl3_29
| spl3_400
| ~ spl3_1539 ),
inference(subsumption_resolution,[],[f18750,f2924]) ).
fof(f2924,plain,
( ~ point_equal(i,d)
| spl3_400 ),
inference(avatar_component_clause,[],[f2923]) ).
fof(f18750,plain,
( point_equal(i,d)
| ~ spl3_29
| ~ spl3_1539 ),
inference(resolution,[],[f18731,f76]) ).
fof(f18731,plain,
( point_equal(d,i)
| ~ spl3_29
| ~ spl3_1539 ),
inference(resolution,[],[f15784,f11489]) ).
fof(f11489,plain,
( point_equal(b,i)
| ~ spl3_1539 ),
inference(avatar_component_clause,[],[f11487]) ).
fof(f15784,plain,
( ! [X0] :
( ~ point_equal(b,X0)
| point_equal(d,X0) )
| ~ spl3_29 ),
inference(resolution,[],[f461,f82]) ).
fof(f18614,plain,
( spl3_435
| ~ spl3_2012 ),
inference(avatar_contradiction_clause,[],[f18613]) ).
fof(f18613,plain,
( $false
| spl3_435
| ~ spl3_2012 ),
inference(subsumption_resolution,[],[f18612,f3120]) ).
fof(f18612,plain,
( point_equal(g,f)
| ~ spl3_2012 ),
inference(resolution,[],[f18599,f76]) ).
fof(f18599,plain,
( point_equal(f,g)
| ~ spl3_2012 ),
inference(avatar_component_clause,[],[f18597]) ).
fof(f18551,plain,
( spl3_25
| ~ spl3_71
| ~ spl3_320 ),
inference(avatar_contradiction_clause,[],[f18550]) ).
fof(f18550,plain,
( $false
| spl3_25
| ~ spl3_71
| ~ spl3_320 ),
inference(subsumption_resolution,[],[f18549,f434]) ).
fof(f434,plain,
( ~ point_equal(f,b)
| spl3_25 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f18549,plain,
( point_equal(f,b)
| ~ spl3_71
| ~ spl3_320 ),
inference(resolution,[],[f18349,f76]) ).
fof(f18349,plain,
( point_equal(b,f)
| ~ spl3_71
| ~ spl3_320 ),
inference(subsumption_resolution,[],[f16793,f130]) ).
fof(f16793,plain,
( ~ incident(b,n)
| point_equal(b,f)
| ~ spl3_71
| ~ spl3_320 ),
inference(resolution,[],[f2441,f738]) ).
fof(f18348,plain,
( ~ spl3_25
| spl3_294 ),
inference(avatar_contradiction_clause,[],[f18347]) ).
fof(f18347,plain,
( $false
| ~ spl3_25
| spl3_294 ),
inference(subsumption_resolution,[],[f18346,f137]) ).
fof(f18346,plain,
( ~ incident(b,l)
| ~ spl3_25
| spl3_294 ),
inference(resolution,[],[f2278,f15322]) ).
fof(f15322,plain,
( ! [X0] :
( incident(f,X0)
| ~ incident(b,X0) )
| ~ spl3_25 ),
inference(resolution,[],[f435,f83]) ).
fof(f16679,plain,
( spl3_330
| ~ spl3_9
| ~ spl3_27 ),
inference(avatar_split_clause,[],[f16658,f441,f186,f2500]) ).
fof(f16658,plain,
( incident(b,r)
| ~ spl3_9
| ~ spl3_27 ),
inference(resolution,[],[f187,f13707]) ).
fof(f15976,plain,
( spl3_1848
| ~ spl3_575
| ~ spl3_8
| spl3_78 ),
inference(avatar_split_clause,[],[f15947,f782,f182,f3942,f15973]) ).
fof(f15947,plain,
( ~ incident(i,p)
| point_equal(i,h)
| ~ spl3_8
| spl3_78 ),
inference(resolution,[],[f15803,f123]) ).
fof(f15803,plain,
( ! [X0] :
( ~ incident(X0,r)
| ~ incident(X0,p)
| point_equal(X0,h) )
| ~ spl3_8
| spl3_78 ),
inference(subsumption_resolution,[],[f15794,f783]) ).
fof(f15794,plain,
( ! [X0] :
( line_equal(r,p)
| point_equal(X0,h)
| ~ incident(X0,p)
| ~ incident(X0,r) )
| ~ spl3_8 ),
inference(resolution,[],[f183,f207]) ).
fof(f207,plain,
! [X0,X1] :
( ~ incident(h,X1)
| line_equal(X1,p)
| point_equal(X0,h)
| ~ incident(X0,p)
| ~ incident(X0,X1) ),
inference(resolution,[],[f91,f121]) ).
fof(f15517,plain,
( spl3_10
| ~ spl3_563 ),
inference(avatar_contradiction_clause,[],[f15516]) ).
fof(f15516,plain,
( $false
| spl3_10
| ~ spl3_563 ),
inference(subsumption_resolution,[],[f15493,f260]) ).
fof(f15493,plain,
( incident(a,m)
| ~ spl3_563 ),
inference(resolution,[],[f15352,f124]) ).
fof(f15352,plain,
( ! [X0] :
( ~ incident(f,X0)
| incident(a,X0) )
| ~ spl3_563 ),
inference(resolution,[],[f3866,f83]) ).
fof(f15359,plain,
( spl3_435
| ~ spl3_25
| ~ spl3_27 ),
inference(avatar_split_clause,[],[f15355,f441,f433,f3119]) ).
fof(f15355,plain,
( point_equal(g,f)
| ~ spl3_25
| ~ spl3_27 ),
inference(resolution,[],[f15324,f13668]) ).
fof(f13668,plain,
( ! [X0] :
( ~ point_equal(b,X0)
| point_equal(g,X0) )
| ~ spl3_27 ),
inference(resolution,[],[f443,f82]) ).
fof(f15324,plain,
( point_equal(b,f)
| ~ spl3_25 ),
inference(resolution,[],[f435,f76]) ).
fof(f15315,plain,
( spl3_310
| ~ spl3_548 ),
inference(avatar_split_clause,[],[f15284,f3776,f2369]) ).
fof(f15284,plain,
( incident(f,q)
| ~ spl3_548 ),
inference(resolution,[],[f14870,f138]) ).
fof(f14870,plain,
( ! [X0] :
( ~ incident(e,X0)
| incident(f,X0) )
| ~ spl3_548 ),
inference(resolution,[],[f3778,f83]) ).
fof(f3778,plain,
( point_equal(f,e)
| ~ spl3_548 ),
inference(avatar_component_clause,[],[f3776]) ).
fof(f15311,plain,
( spl3_294
| ~ spl3_262
| ~ spl3_548 ),
inference(avatar_split_clause,[],[f15281,f3776,f2111,f2276]) ).
fof(f15281,plain,
( incident(f,l)
| ~ spl3_262
| ~ spl3_548 ),
inference(resolution,[],[f14870,f2112]) ).
fof(f14992,plain,
( spl3_1594
| ~ spl3_27
| ~ spl3_790 ),
inference(avatar_split_clause,[],[f14973,f5181,f441,f12285]) ).
fof(f5181,plain,
( spl3_790
<=> incident(g,sK0(g,i)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_790])]) ).
fof(f14973,plain,
( incident(b,sK0(g,i))
| ~ spl3_27
| ~ spl3_790 ),
inference(resolution,[],[f13707,f5182]) ).
fof(f5182,plain,
( incident(g,sK0(g,i))
| ~ spl3_790 ),
inference(avatar_component_clause,[],[f5181]) ).
fof(f14869,plain,
( spl3_548
| ~ spl3_46
| ~ spl3_263 ),
inference(avatar_split_clause,[],[f14868,f2115,f568,f3776]) ).
fof(f14868,plain,
( point_equal(f,e)
| ~ spl3_46
| ~ spl3_263 ),
inference(resolution,[],[f14849,f76]) ).
fof(f14849,plain,
( point_equal(e,f)
| ~ spl3_46
| ~ spl3_263 ),
inference(subsumption_resolution,[],[f14840,f144]) ).
fof(f14840,plain,
( point_equal(e,f)
| ~ incident(e,m)
| ~ spl3_46
| ~ spl3_263 ),
inference(resolution,[],[f14817,f569]) ).
fof(f14817,plain,
( incident(e,s)
| ~ spl3_263 ),
inference(resolution,[],[f11129,f129]) ).
fof(f11129,plain,
( ! [X0] :
( ~ incident(a,X0)
| incident(e,X0) )
| ~ spl3_263 ),
inference(resolution,[],[f2117,f83]) ).
fof(f14813,plain,
( spl3_530
| ~ spl3_531 ),
inference(avatar_contradiction_clause,[],[f14812]) ).
fof(f14812,plain,
( $false
| spl3_530
| ~ spl3_531 ),
inference(subsumption_resolution,[],[f14792,f3677]) ).
fof(f3677,plain,
( ~ incident(c,q)
| spl3_530 ),
inference(avatar_component_clause,[],[f3675]) ).
fof(f14792,plain,
( incident(c,q)
| ~ spl3_531 ),
inference(resolution,[],[f11077,f138]) ).
fof(f11077,plain,
( ! [X0] :
( ~ incident(e,X0)
| incident(c,X0) )
| ~ spl3_531 ),
inference(resolution,[],[f3681,f83]) ).
fof(f3681,plain,
( point_equal(c,e)
| ~ spl3_531 ),
inference(avatar_component_clause,[],[f3679]) ).
fof(f14811,plain,
( spl3_397
| ~ spl3_531 ),
inference(avatar_contradiction_clause,[],[f14810]) ).
fof(f14810,plain,
( $false
| spl3_397
| ~ spl3_531 ),
inference(subsumption_resolution,[],[f14790,f2912]) ).
fof(f14790,plain,
( incident(c,m)
| ~ spl3_531 ),
inference(resolution,[],[f11077,f144]) ).
fof(f14782,plain,
( spl3_417
| ~ spl3_493 ),
inference(avatar_split_clause,[],[f11076,f3443,f3019]) ).
fof(f11076,plain,
( point_equal(i,f)
| ~ spl3_493 ),
inference(resolution,[],[f3445,f76]) ).
fof(f14781,plain,
( ~ spl3_417
| spl3_565 ),
inference(avatar_contradiction_clause,[],[f14780]) ).
fof(f14780,plain,
( $false
| ~ spl3_417
| spl3_565 ),
inference(subsumption_resolution,[],[f14759,f3875]) ).
fof(f3875,plain,
( ~ incident(i,n)
| spl3_565 ),
inference(avatar_component_clause,[],[f3873]) ).
fof(f14759,plain,
( incident(i,n)
| ~ spl3_417 ),
inference(resolution,[],[f11067,f140]) ).
fof(f11067,plain,
( ! [X0] :
( ~ incident(f,X0)
| incident(i,X0) )
| ~ spl3_417 ),
inference(resolution,[],[f3021,f83]) ).
fof(f14779,plain,
( spl3_399
| ~ spl3_417 ),
inference(avatar_contradiction_clause,[],[f14778]) ).
fof(f14778,plain,
( $false
| spl3_399
| ~ spl3_417 ),
inference(subsumption_resolution,[],[f14758,f2921]) ).
fof(f2921,plain,
( ~ incident(i,m)
| spl3_399 ),
inference(avatar_component_clause,[],[f2919]) ).
fof(f14758,plain,
( incident(i,m)
| ~ spl3_417 ),
inference(resolution,[],[f11067,f124]) ).
fof(f14753,plain,
( spl3_295
| ~ spl3_563 ),
inference(avatar_split_clause,[],[f11082,f3864,f2280]) ).
fof(f11082,plain,
( point_equal(f,a)
| ~ spl3_563 ),
inference(resolution,[],[f3866,f76]) ).
fof(f14752,plain,
( ~ spl3_295
| spl3_310 ),
inference(avatar_contradiction_clause,[],[f14751]) ).
fof(f14751,plain,
( $false
| ~ spl3_295
| spl3_310 ),
inference(subsumption_resolution,[],[f14730,f2371]) ).
fof(f2371,plain,
( ~ incident(f,q)
| spl3_310 ),
inference(avatar_component_clause,[],[f2369]) ).
fof(f14730,plain,
( incident(f,q)
| ~ spl3_295 ),
inference(resolution,[],[f10914,f128]) ).
fof(f10914,plain,
( ! [X0] :
( ~ incident(a,X0)
| incident(f,X0) )
| ~ spl3_295 ),
inference(resolution,[],[f2282,f83]) ).
fof(f2282,plain,
( point_equal(f,a)
| ~ spl3_295 ),
inference(avatar_component_clause,[],[f2280]) ).
fof(f14750,plain,
( spl3_294
| ~ spl3_295 ),
inference(avatar_contradiction_clause,[],[f14749]) ).
fof(f14749,plain,
( $false
| spl3_294
| ~ spl3_295 ),
inference(subsumption_resolution,[],[f14728,f2278]) ).
fof(f14728,plain,
( incident(f,l)
| ~ spl3_295 ),
inference(resolution,[],[f10914,f127]) ).
fof(f14723,plain,
( spl3_380
| ~ spl3_475 ),
inference(avatar_split_clause,[],[f11073,f3342,f2814]) ).
fof(f3342,plain,
( spl3_475
<=> point_equal(d,h) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_475])]) ).
fof(f11073,plain,
( point_equal(h,d)
| ~ spl3_475 ),
inference(resolution,[],[f3344,f76]) ).
fof(f3344,plain,
( point_equal(d,h)
| ~ spl3_475 ),
inference(avatar_component_clause,[],[f3342]) ).
fof(f14717,plain,
( spl3_8
| ~ spl3_380 ),
inference(avatar_contradiction_clause,[],[f14716]) ).
fof(f14716,plain,
( $false
| spl3_8
| ~ spl3_380 ),
inference(subsumption_resolution,[],[f14698,f184]) ).
fof(f14698,plain,
( incident(h,r)
| ~ spl3_380 ),
inference(resolution,[],[f10858,f143]) ).
fof(f10858,plain,
( ! [X0] :
( ~ incident(d,X0)
| incident(h,X0) )
| ~ spl3_380 ),
inference(resolution,[],[f2816,f83]) ).
fof(f13854,plain,
( spl3_262
| ~ spl3_34 ),
inference(avatar_split_clause,[],[f13800,f485,f2111]) ).
fof(f485,plain,
( spl3_34
<=> line_equal(o,l) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_34])]) ).
fof(f13800,plain,
( incident(e,l)
| ~ spl3_34 ),
inference(resolution,[],[f13670,f142]) ).
fof(f13670,plain,
( ! [X0] :
( ~ incident(X0,o)
| incident(X0,l) )
| ~ spl3_34 ),
inference(resolution,[],[f487,f87]) ).
fof(f487,plain,
( line_equal(o,l)
| ~ spl3_34 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f13750,plain,
( spl3_1641
| ~ spl3_27 ),
inference(avatar_split_clause,[],[f13730,f441,f13414]) ).
fof(f13730,plain,
( incident(g,p)
| ~ spl3_27 ),
inference(resolution,[],[f13667,f131]) ).
fof(f13667,plain,
( ! [X0] :
( ~ incident(b,X0)
| incident(g,X0) )
| ~ spl3_27 ),
inference(resolution,[],[f443,f83]) ).
fof(f13666,plain,
( spl3_338
| ~ spl3_453 ),
inference(avatar_split_clause,[],[f10473,f3219,f2558]) ).
fof(f3219,plain,
( spl3_453
<=> point_equal(c,g) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_453])]) ).
fof(f10473,plain,
( point_equal(g,c)
| ~ spl3_453 ),
inference(resolution,[],[f3221,f76]) ).
fof(f3221,plain,
( point_equal(c,g)
| ~ spl3_453 ),
inference(avatar_component_clause,[],[f3219]) ).
fof(f13395,plain,
( spl3_9
| ~ spl3_338 ),
inference(avatar_split_clause,[],[f13371,f2558,f186]) ).
fof(f13371,plain,
( incident(g,r)
| ~ spl3_338 ),
inference(resolution,[],[f10467,f133]) ).
fof(f10467,plain,
( ! [X0] :
( ~ incident(c,X0)
| incident(g,X0) )
| ~ spl3_338 ),
inference(resolution,[],[f2560,f83]) ).
fof(f13325,plain,
( ~ spl3_400
| spl3_575 ),
inference(avatar_contradiction_clause,[],[f13324]) ).
fof(f13324,plain,
( $false
| ~ spl3_400
| spl3_575 ),
inference(subsumption_resolution,[],[f13305,f3944]) ).
fof(f3944,plain,
( ~ incident(i,p)
| spl3_575 ),
inference(avatar_component_clause,[],[f3942]) ).
fof(f13305,plain,
( incident(i,p)
| ~ spl3_400 ),
inference(resolution,[],[f10128,f141]) ).
fof(f10128,plain,
( ! [X0] :
( ~ incident(d,X0)
| incident(i,X0) )
| ~ spl3_400 ),
inference(resolution,[],[f2925,f83]) ).
fof(f2925,plain,
( point_equal(i,d)
| ~ spl3_400 ),
inference(avatar_component_clause,[],[f2923]) ).
fof(f13298,plain,
( ~ spl3_398
| spl3_574 ),
inference(avatar_contradiction_clause,[],[f13297]) ).
fof(f13297,plain,
( $false
| ~ spl3_398
| spl3_574 ),
inference(subsumption_resolution,[],[f13278,f3939]) ).
fof(f3939,plain,
( ~ incident(c,p)
| spl3_574 ),
inference(avatar_component_clause,[],[f3937]) ).
fof(f13278,plain,
( incident(c,p)
| ~ spl3_398 ),
inference(resolution,[],[f10121,f141]) ).
fof(f10121,plain,
( ! [X0] :
( ~ incident(d,X0)
| incident(c,X0) )
| ~ spl3_398 ),
inference(resolution,[],[f2916,f83]) ).
fof(f13230,plain,
( spl3_368
| ~ spl3_369 ),
inference(avatar_split_clause,[],[f13206,f2742,f2738]) ).
fof(f13206,plain,
( incident(i,o)
| ~ spl3_369 ),
inference(resolution,[],[f9806,f132]) ).
fof(f9806,plain,
( ! [X0] :
( ~ incident(c,X0)
| incident(i,X0) )
| ~ spl3_369 ),
inference(resolution,[],[f2744,f83]) ).
fof(f2744,plain,
( point_equal(i,c)
| ~ spl3_369 ),
inference(avatar_component_clause,[],[f2742]) ).
fof(f12411,plain,
( spl3_1
| ~ spl3_51 ),
inference(avatar_contradiction_clause,[],[f12410]) ).
fof(f12410,plain,
( $false
| spl3_1
| ~ spl3_51 ),
inference(subsumption_resolution,[],[f12409,f96]) ).
fof(f96,plain,
( ~ line_equal(n,o)
| spl3_1 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl3_1
<=> line_equal(n,o) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f12409,plain,
( line_equal(n,o)
| ~ spl3_51 ),
inference(resolution,[],[f595,f77]) ).
fof(f595,plain,
( line_equal(o,n)
| ~ spl3_51 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f12406,plain,
( spl3_1
| ~ spl3_37
| ~ spl3_60 ),
inference(avatar_contradiction_clause,[],[f12405]) ).
fof(f12405,plain,
( $false
| spl3_1
| ~ spl3_37
| ~ spl3_60 ),
inference(subsumption_resolution,[],[f12401,f96]) ).
fof(f12401,plain,
( line_equal(n,o)
| ~ spl3_37
| ~ spl3_60 ),
inference(resolution,[],[f507,f11330]) ).
fof(f11330,plain,
( ! [X0] :
( ~ line_equal(l,X0)
| line_equal(n,X0) )
| ~ spl3_60 ),
inference(resolution,[],[f680,f84]) ).
fof(f680,plain,
( line_equal(n,l)
| ~ spl3_60 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f678,plain,
( spl3_60
<=> line_equal(n,l) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_60])]) ).
fof(f507,plain,
( line_equal(l,o)
| ~ spl3_37 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f12037,plain,
( spl3_1581
| spl3_1582
| ~ spl3_11
| spl3_12 ),
inference(avatar_split_clause,[],[f12029,f278,f263,f12035,f12031]) ).
fof(f263,plain,
( spl3_11
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( incident(d,X0)
| incident(e,X0)
| incident(f,X0)
| incident(X1,m)
| ~ colinear(a,X2,X1,X0)
| ~ colinear(X2,f,X3,X9)
| ~ colinear(X1,e,X3,X8)
| ~ colinear(X1,d,i,X5)
| colinear(X3,X4,i,sK2(X3,X4,i))
| ~ colinear(a,e,X4,X6)
| incident(X2,m)
| ~ colinear(X2,d,X4,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f12029,plain,
( ! [X2,X3,X0,X1] :
( incident(X0,m)
| ~ colinear(a,b,X0,X1)
| incident(f,X1)
| ~ colinear(X0,e,g,X2)
| ~ colinear(X0,d,i,X3)
| colinear(g,h,i,sK2(g,h,i))
| incident(d,X1)
| incident(e,X1) )
| ~ spl3_11
| spl3_12 ),
inference(resolution,[],[f4058,f66]) ).
fof(f4058,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ colinear(b,f,X2,X3)
| incident(X1,m)
| ~ colinear(a,b,X1,X0)
| incident(f,X0)
| ~ colinear(X1,e,X2,X4)
| ~ colinear(X1,d,i,X5)
| colinear(X2,h,i,sK2(X2,h,i))
| incident(d,X0)
| incident(e,X0) )
| ~ spl3_11
| spl3_12 ),
inference(subsumption_resolution,[],[f4057,f279]) ).
fof(f279,plain,
( ~ incident(b,m)
| spl3_12 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f4057,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( incident(f,X0)
| incident(X1,m)
| ~ colinear(a,b,X1,X0)
| ~ colinear(b,f,X2,X3)
| ~ colinear(X1,e,X2,X4)
| ~ colinear(X1,d,i,X5)
| colinear(X2,h,i,sK2(X2,h,i))
| incident(d,X0)
| incident(b,m)
| incident(e,X0) )
| ~ spl3_11 ),
inference(resolution,[],[f856,f68]) ).
fof(f856,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ colinear(X2,d,h,X7)
| incident(f,X0)
| incident(X1,m)
| ~ colinear(a,X2,X1,X0)
| ~ colinear(X2,f,X3,X4)
| ~ colinear(X1,e,X3,X5)
| ~ colinear(X1,d,i,X6)
| colinear(X3,h,i,sK2(X3,h,i))
| incident(d,X0)
| incident(X2,m)
| incident(e,X0) )
| ~ spl3_11 ),
inference(resolution,[],[f264,f69]) ).
fof(f264,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ colinear(a,e,X4,X6)
| incident(e,X0)
| incident(f,X0)
| incident(X1,m)
| ~ colinear(a,X2,X1,X0)
| ~ colinear(X2,f,X3,X9)
| ~ colinear(X1,e,X3,X8)
| ~ colinear(X1,d,i,X5)
| colinear(X3,X4,i,sK2(X3,X4,i))
| incident(d,X0)
| incident(X2,m)
| ~ colinear(X2,d,X4,X7) )
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f11879,plain,
( spl3_1408
| ~ spl3_29 ),
inference(avatar_split_clause,[],[f11861,f459,f9737]) ).
fof(f11861,plain,
( incident(d,n)
| ~ spl3_29 ),
inference(resolution,[],[f11426,f130]) ).
fof(f11426,plain,
( ! [X0] :
( ~ incident(b,X0)
| incident(d,X0) )
| ~ spl3_29 ),
inference(resolution,[],[f461,f83]) ).
fof(f11878,plain,
( ~ spl3_29
| spl3_352 ),
inference(avatar_contradiction_clause,[],[f11877]) ).
fof(f11877,plain,
( $false
| ~ spl3_29
| spl3_352 ),
inference(subsumption_resolution,[],[f11860,f2647]) ).
fof(f11860,plain,
( incident(d,l)
| ~ spl3_29 ),
inference(resolution,[],[f11426,f137]) ).
fof(f11583,plain,
( spl3_72
| ~ spl3_23
| ~ spl3_60 ),
inference(avatar_split_clause,[],[f11580,f678,f416,f740]) ).
fof(f740,plain,
( spl3_72
<=> line_equal(n,s) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_72])]) ).
fof(f11580,plain,
( line_equal(n,s)
| ~ spl3_23
| ~ spl3_60 ),
inference(resolution,[],[f11330,f418]) ).
fof(f418,plain,
( line_equal(l,s)
| ~ spl3_23 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f11440,plain,
( spl3_4
| ~ spl3_55 ),
inference(avatar_contradiction_clause,[],[f11439]) ).
fof(f11439,plain,
( $false
| spl3_4
| ~ spl3_55 ),
inference(subsumption_resolution,[],[f11438,f110]) ).
fof(f11438,plain,
( line_equal(s,r)
| ~ spl3_55 ),
inference(resolution,[],[f642,f77]) ).
fof(f642,plain,
( line_equal(r,s)
| ~ spl3_55 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f11404,plain,
( spl3_337
| ~ spl3_60 ),
inference(avatar_split_clause,[],[f11341,f678,f2554]) ).
fof(f11341,plain,
( incident(g,l)
| ~ spl3_60 ),
inference(resolution,[],[f11329,f120]) ).
fof(f11329,plain,
( ! [X0] :
( ~ incident(X0,n)
| incident(X0,l) )
| ~ spl3_60 ),
inference(resolution,[],[f680,f87]) ).
fof(f11402,plain,
( spl3_294
| ~ spl3_60 ),
inference(avatar_split_clause,[],[f11340,f678,f2276]) ).
fof(f11340,plain,
( incident(f,l)
| ~ spl3_60 ),
inference(resolution,[],[f11329,f140]) ).
fof(f10902,plain,
( spl3_295
| ~ spl3_10
| spl3_70 ),
inference(avatar_split_clause,[],[f10901,f732,f259,f2280]) ).
fof(f10901,plain,
( point_equal(f,a)
| ~ spl3_10
| spl3_70 ),
inference(subsumption_resolution,[],[f10883,f124]) ).
fof(f10883,plain,
( point_equal(f,a)
| ~ incident(f,m)
| ~ spl3_10
| spl3_70 ),
inference(resolution,[],[f10742,f139]) ).
fof(f10742,plain,
( ! [X0] :
( ~ incident(X0,s)
| point_equal(X0,a)
| ~ incident(X0,m) )
| ~ spl3_10
| spl3_70 ),
inference(subsumption_resolution,[],[f10735,f733]) ).
fof(f10735,plain,
( ! [X0] :
( line_equal(m,s)
| point_equal(X0,a)
| ~ incident(X0,s)
| ~ incident(X0,m) )
| ~ spl3_10 ),
inference(resolution,[],[f261,f196]) ).
fof(f10699,plain,
( spl3_379
| ~ spl3_87 ),
inference(avatar_split_clause,[],[f10654,f842,f2810]) ).
fof(f10654,plain,
( incident(h,m)
| ~ spl3_87 ),
inference(resolution,[],[f10590,f118]) ).
fof(f10590,plain,
( ! [X0] :
( ~ incident(X0,q)
| incident(X0,m) )
| ~ spl3_87 ),
inference(resolution,[],[f844,f87]) ).
fof(f844,plain,
( line_equal(q,m)
| ~ spl3_87 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f10697,plain,
( spl3_10
| ~ spl3_87 ),
inference(avatar_split_clause,[],[f10652,f842,f259]) ).
fof(f10652,plain,
( incident(a,m)
| ~ spl3_87 ),
inference(resolution,[],[f10590,f128]) ).
fof(f10086,plain,
( spl3_492
| ~ spl3_40 ),
inference(avatar_split_clause,[],[f10051,f525,f3438]) ).
fof(f10051,plain,
( incident(a,r)
| ~ spl3_40 ),
inference(resolution,[],[f9569,f127]) ).
fof(f9569,plain,
( ! [X0] :
( ~ incident(X0,l)
| incident(X0,r) )
| ~ spl3_40 ),
inference(resolution,[],[f527,f87]) ).
fof(f9685,plain,
( spl3_327
| ~ spl3_37 ),
inference(avatar_split_clause,[],[f9654,f505,f2480]) ).
fof(f9654,plain,
( incident(b,o)
| ~ spl3_37 ),
inference(resolution,[],[f9562,f137]) ).
fof(f9562,plain,
( ! [X0] :
( ~ incident(X0,l)
| incident(X0,o) )
| ~ spl3_37 ),
inference(resolution,[],[f507,f87]) ).
fof(f9558,plain,
( spl3_19
| ~ spl3_23 ),
inference(avatar_split_clause,[],[f9557,f416,f387]) ).
fof(f9557,plain,
( line_equal(s,l)
| ~ spl3_23 ),
inference(resolution,[],[f418,f77]) ).
fof(f9450,plain,
( ~ spl3_17
| spl3_264 ),
inference(avatar_contradiction_clause,[],[f9449]) ).
fof(f9449,plain,
( $false
| ~ spl3_17
| spl3_264 ),
inference(subsumption_resolution,[],[f9430,f2122]) ).
fof(f9430,plain,
( incident(h,l)
| ~ spl3_17 ),
inference(resolution,[],[f9421,f118]) ).
fof(f9421,plain,
( ! [X0] :
( ~ incident(X0,q)
| incident(X0,l) )
| ~ spl3_17 ),
inference(resolution,[],[f381,f87]) ).
fof(f381,plain,
( line_equal(q,l)
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f9448,plain,
( ~ spl3_17
| spl3_262 ),
inference(avatar_contradiction_clause,[],[f9447]) ).
fof(f9447,plain,
( $false
| ~ spl3_17
| spl3_262 ),
inference(subsumption_resolution,[],[f9429,f2113]) ).
fof(f9429,plain,
( incident(e,l)
| ~ spl3_17 ),
inference(resolution,[],[f9421,f138]) ).
fof(f9286,plain,
( spl3_47
| ~ spl3_70 ),
inference(avatar_split_clause,[],[f5957,f732,f571]) ).
fof(f5957,plain,
( line_equal(s,m)
| ~ spl3_70 ),
inference(resolution,[],[f734,f77]) ).
fof(f9200,plain,
( spl3_45
| ~ spl3_82 ),
inference(avatar_split_clause,[],[f5949,f811,f556]) ).
fof(f5949,plain,
( line_equal(r,m)
| ~ spl3_82 ),
inference(resolution,[],[f813,f77]) ).
fof(f9165,plain,
( ~ spl3_45
| spl3_399 ),
inference(avatar_contradiction_clause,[],[f9164]) ).
fof(f9164,plain,
( $false
| ~ spl3_45
| spl3_399 ),
inference(subsumption_resolution,[],[f9145,f2921]) ).
fof(f9145,plain,
( incident(i,m)
| ~ spl3_45 ),
inference(resolution,[],[f5943,f123]) ).
fof(f5943,plain,
( ! [X0] :
( ~ incident(X0,r)
| incident(X0,m) )
| ~ spl3_45 ),
inference(resolution,[],[f558,f87]) ).
fof(f9074,plain,
( spl3_12
| ~ spl3_43 ),
inference(avatar_contradiction_clause,[],[f9073]) ).
fof(f9073,plain,
( $false
| spl3_12
| ~ spl3_43 ),
inference(subsumption_resolution,[],[f9054,f279]) ).
fof(f9054,plain,
( incident(b,m)
| ~ spl3_43 ),
inference(resolution,[],[f5922,f131]) ).
fof(f5922,plain,
( ! [X0] :
( ~ incident(X0,p)
| incident(X0,m) )
| ~ spl3_43 ),
inference(resolution,[],[f550,f87]) ).
fof(f8965,plain,
( spl3_49
| ~ spl3_73 ),
inference(avatar_split_clause,[],[f5912,f749,f579]) ).
fof(f579,plain,
( spl3_49
<=> line_equal(n,m) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_49])]) ).
fof(f5912,plain,
( line_equal(n,m)
| ~ spl3_73 ),
inference(resolution,[],[f751,f77]) ).
fof(f751,plain,
( line_equal(m,n)
| ~ spl3_73 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f8930,plain,
( ~ spl3_49
| spl3_434 ),
inference(avatar_contradiction_clause,[],[f8929]) ).
fof(f8929,plain,
( $false
| ~ spl3_49
| spl3_434 ),
inference(subsumption_resolution,[],[f8910,f3117]) ).
fof(f8910,plain,
( incident(g,m)
| ~ spl3_49 ),
inference(resolution,[],[f5906,f120]) ).
fof(f5906,plain,
( ! [X0] :
( ~ incident(X0,n)
| incident(X0,m) )
| ~ spl3_49 ),
inference(resolution,[],[f581,f87]) ).
fof(f581,plain,
( line_equal(n,m)
| ~ spl3_49 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f8928,plain,
( spl3_12
| ~ spl3_49 ),
inference(avatar_contradiction_clause,[],[f8927]) ).
fof(f8927,plain,
( $false
| spl3_12
| ~ spl3_49 ),
inference(subsumption_resolution,[],[f8908,f279]) ).
fof(f8908,plain,
( incident(b,m)
| ~ spl3_49 ),
inference(resolution,[],[f5906,f130]) ).
fof(f8840,plain,
( spl3_39
| ~ spl3_41 ),
inference(avatar_split_clause,[],[f5741,f530,f513]) ).
fof(f513,plain,
( spl3_39
<=> line_equal(r,o) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_39])]) ).
fof(f5741,plain,
( line_equal(r,o)
| ~ spl3_41 ),
inference(resolution,[],[f532,f77]) ).
fof(f8816,plain,
( ~ spl3_39
| spl3_368 ),
inference(avatar_contradiction_clause,[],[f8815]) ).
fof(f8815,plain,
( $false
| ~ spl3_39
| spl3_368 ),
inference(subsumption_resolution,[],[f8796,f2740]) ).
fof(f2740,plain,
( ~ incident(i,o)
| spl3_368 ),
inference(avatar_component_clause,[],[f2738]) ).
fof(f8796,plain,
( incident(i,o)
| ~ spl3_39 ),
inference(resolution,[],[f5735,f123]) ).
fof(f5735,plain,
( ! [X0] :
( ~ incident(X0,r)
| incident(X0,o) )
| ~ spl3_39 ),
inference(resolution,[],[f515,f87]) ).
fof(f515,plain,
( line_equal(r,o)
| ~ spl3_39 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f8705,plain,
( ~ spl3_78
| spl3_575 ),
inference(avatar_contradiction_clause,[],[f8704]) ).
fof(f8704,plain,
( $false
| ~ spl3_78
| spl3_575 ),
inference(subsumption_resolution,[],[f8685,f3944]) ).
fof(f8685,plain,
( incident(i,p)
| ~ spl3_78 ),
inference(resolution,[],[f5521,f123]) ).
fof(f5521,plain,
( ! [X0] :
( ~ incident(X0,r)
| incident(X0,p) )
| ~ spl3_78 ),
inference(resolution,[],[f784,f87]) ).
fof(f784,plain,
( line_equal(r,p)
| ~ spl3_78 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f8703,plain,
( ~ spl3_78
| spl3_574 ),
inference(avatar_contradiction_clause,[],[f8702]) ).
fof(f8702,plain,
( $false
| ~ spl3_78
| spl3_574 ),
inference(subsumption_resolution,[],[f8683,f3939]) ).
fof(f8683,plain,
( incident(c,p)
| ~ spl3_78 ),
inference(resolution,[],[f5521,f133]) ).
fof(f8643,plain,
( spl3_7
| ~ spl3_72 ),
inference(avatar_split_clause,[],[f8624,f740,f177]) ).
fof(f8624,plain,
( incident(g,s)
| ~ spl3_72 ),
inference(resolution,[],[f4919,f120]) ).
fof(f4919,plain,
( ! [X0] :
( ~ incident(X0,n)
| incident(X0,s) )
| ~ spl3_72 ),
inference(resolution,[],[f742,f87]) ).
fof(f742,plain,
( line_equal(n,s)
| ~ spl3_72 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f8642,plain,
( ~ spl3_72
| spl3_320 ),
inference(avatar_contradiction_clause,[],[f8641]) ).
fof(f8641,plain,
( $false
| ~ spl3_72
| spl3_320 ),
inference(subsumption_resolution,[],[f8622,f2442]) ).
fof(f8622,plain,
( incident(b,s)
| ~ spl3_72 ),
inference(resolution,[],[f4919,f130]) ).
fof(f8511,plain,
( spl3_1355
| ~ spl3_1356
| ~ spl3_52 ),
inference(avatar_split_clause,[],[f3330,f622,f8508,f8504]) ).
fof(f3330,plain,
( ~ incident(b,q)
| point_equal(b,h)
| ~ spl3_52 ),
inference(resolution,[],[f623,f131]) ).
fof(f8499,plain,
( spl3_334
| ~ spl3_31 ),
inference(avatar_split_clause,[],[f8481,f467,f2524]) ).
fof(f8481,plain,
( incident(h,n)
| ~ spl3_31 ),
inference(resolution,[],[f2539,f130]) ).
fof(f2539,plain,
( ! [X0] :
( ~ incident(b,X0)
| incident(h,X0) )
| ~ spl3_31 ),
inference(resolution,[],[f469,f83]) ).
fof(f8404,plain,
( spl3_311
| ~ spl3_22 ),
inference(avatar_split_clause,[],[f8385,f404,f2374]) ).
fof(f8385,plain,
( incident(i,q)
| ~ spl3_22 ),
inference(resolution,[],[f2427,f119]) ).
fof(f2427,plain,
( ! [X0] :
( ~ incident(X0,s)
| incident(X0,q) )
| ~ spl3_22 ),
inference(resolution,[],[f406,f87]) ).
fof(f8011,plain,
( ~ spl3_1289
| ~ spl3_1290
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f7983,f113,f8008,f8004]) ).
fof(f7983,plain,
( ~ incident(g,sK0(e,i))
| ~ incident(h,sK0(e,i))
| ~ spl3_5 ),
inference(resolution,[],[f2037,f167]) ).
fof(f2037,plain,
incident(i,sK0(e,i)),
inference(resolution,[],[f343,f146]) ).
fof(f343,plain,
! [X0] :
( ~ point_equal(X0,X0)
| incident(X0,sK0(e,X0)) ),
inference(resolution,[],[f223,f81]) ).
fof(f5350,plain,
spl3_790,
inference(avatar_split_clause,[],[f1480,f5181]) ).
fof(f1480,plain,
incident(g,sK0(g,i)),
inference(resolution,[],[f299,f146]) ).
fof(f299,plain,
! [X0] :
( ~ point_equal(X0,X0)
| incident(g,sK0(g,X0)) ),
inference(resolution,[],[f148,f80]) ).
fof(f5184,plain,
( ~ spl3_789
| ~ spl3_790
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f5156,f113,f5181,f5177]) ).
fof(f5156,plain,
( ~ incident(g,sK0(g,i))
| ~ incident(h,sK0(g,i))
| ~ spl3_5 ),
inference(resolution,[],[f1412,f167]) ).
fof(f1412,plain,
incident(i,sK0(g,i)),
inference(resolution,[],[f298,f146]) ).
fof(f298,plain,
! [X0] :
( ~ point_equal(X0,X0)
| incident(X0,sK0(g,X0)) ),
inference(resolution,[],[f148,f81]) ).
fof(f4080,plain,
spl3_253,
inference(avatar_split_clause,[],[f1135,f2021]) ).
fof(f2021,plain,
( spl3_253
<=> incident(h,sK0(h,i)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_253])]) ).
fof(f1135,plain,
incident(h,sK0(h,i)),
inference(resolution,[],[f270,f146]) ).
fof(f270,plain,
! [X0] :
( ~ point_equal(X0,X0)
| incident(h,sK0(h,X0)) ),
inference(resolution,[],[f136,f80]) ).
fof(f3450,plain,
( spl3_493
| ~ spl3_494
| ~ spl3_54 ),
inference(avatar_split_clause,[],[f3423,f637,f3447,f3443]) ).
fof(f3423,plain,
( ~ incident(f,r)
| point_equal(f,i)
| ~ spl3_54 ),
inference(resolution,[],[f638,f139]) ).
fof(f3349,plain,
( spl3_475
| ~ spl3_476
| ~ spl3_52 ),
inference(avatar_split_clause,[],[f3331,f622,f3346,f3342]) ).
fof(f3331,plain,
( ~ incident(d,q)
| point_equal(d,h)
| ~ spl3_52 ),
inference(resolution,[],[f623,f141]) ).
fof(f3312,plain,
( spl3_52
| spl3_3 ),
inference(avatar_split_clause,[],[f614,f103,f622]) ).
fof(f614,plain,
( ! [X0] :
( point_equal(X0,h)
| ~ incident(X0,q)
| ~ incident(X0,p) )
| spl3_3 ),
inference(subsumption_resolution,[],[f612,f105]) ).
fof(f612,plain,
! [X0] :
( line_equal(p,q)
| point_equal(X0,h)
| ~ incident(X0,q)
| ~ incident(X0,p) ),
inference(resolution,[],[f206,f121]) ).
fof(f206,plain,
! [X0,X1] :
( ~ incident(h,X1)
| line_equal(X1,q)
| point_equal(X0,h)
| ~ incident(X0,q)
| ~ incident(X0,X1) ),
inference(resolution,[],[f91,f118]) ).
fof(f3222,plain,
( ~ spl3_452
| spl3_453
| ~ spl3_50 ),
inference(avatar_split_clause,[],[f3203,f590,f3219,f3215]) ).
fof(f3203,plain,
( point_equal(c,g)
| ~ incident(c,n)
| ~ spl3_50 ),
inference(resolution,[],[f591,f132]) ).
fof(f2028,plain,
( ~ spl3_253
| ~ spl3_254
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f2000,f113,f2025,f2021]) ).
fof(f2000,plain,
( ~ incident(g,sK0(h,i))
| ~ incident(h,sK0(h,i))
| ~ spl3_5 ),
inference(resolution,[],[f1063,f167]) ).
fof(f845,plain,
( spl3_65
| spl3_87 ),
inference(avatar_split_clause,[],[f837,f842,f703]) ).
fof(f837,plain,
! [X0] :
( line_equal(q,m)
| point_equal(X0,e)
| ~ incident(X0,m)
| ~ incident(X0,q) ),
inference(resolution,[],[f239,f138]) ).
fof(f239,plain,
! [X0,X1] :
( ~ incident(e,X1)
| line_equal(X1,m)
| point_equal(X0,e)
| ~ incident(X0,m)
| ~ incident(X0,X1) ),
inference(resolution,[],[f144,f91]) ).
fof(f814,plain,
( spl3_44
| spl3_82 ),
inference(avatar_split_clause,[],[f806,f811,f553]) ).
fof(f806,plain,
! [X0] :
( line_equal(m,r)
| point_equal(X0,d)
| ~ incident(X0,r)
| ~ incident(X0,m) ),
inference(resolution,[],[f236,f134]) ).
fof(f802,plain,
( spl3_80
| spl3_81 ),
inference(avatar_split_clause,[],[f788,f799,f796]) ).
fof(f788,plain,
! [X0] :
( line_equal(m,o)
| point_equal(X0,e)
| ~ incident(X0,o)
| ~ incident(X0,m) ),
inference(resolution,[],[f233,f144]) ).
fof(f785,plain,
( spl3_77
| spl3_78 ),
inference(avatar_split_clause,[],[f771,f782,f779]) ).
fof(f771,plain,
! [X0] :
( line_equal(r,p)
| point_equal(X0,d)
| ~ incident(X0,p)
| ~ incident(X0,r) ),
inference(resolution,[],[f230,f143]) ).
fof(f230,plain,
! [X0,X1] :
( ~ incident(d,X1)
| line_equal(X1,p)
| point_equal(X0,d)
| ~ incident(X0,p)
| ~ incident(X0,X1) ),
inference(resolution,[],[f141,f91]) ).
fof(f777,plain,
( spl3_42
| spl3_76 ),
inference(avatar_split_clause,[],[f769,f774,f545]) ).
fof(f769,plain,
! [X0] :
( line_equal(m,p)
| point_equal(X0,d)
| ~ incident(X0,p)
| ~ incident(X0,m) ),
inference(resolution,[],[f230,f134]) ).
fof(f757,plain,
( spl3_71
| spl3_74 ),
inference(avatar_split_clause,[],[f746,f754,f737]) ).
fof(f746,plain,
! [X0] :
( line_equal(s,n)
| point_equal(X0,f)
| ~ incident(X0,n)
| ~ incident(X0,s) ),
inference(resolution,[],[f227,f139]) ).
fof(f227,plain,
! [X0,X1] :
( ~ incident(f,X1)
| line_equal(X1,n)
| point_equal(X0,f)
| ~ incident(X0,n)
| ~ incident(X0,X1) ),
inference(resolution,[],[f140,f91]) ).
fof(f743,plain,
( spl3_71
| spl3_72 ),
inference(avatar_split_clause,[],[f728,f740,f737]) ).
fof(f728,plain,
! [X0] :
( line_equal(n,s)
| point_equal(X0,f)
| ~ incident(X0,s)
| ~ incident(X0,n) ),
inference(resolution,[],[f224,f140]) ).
fof(f735,plain,
( spl3_46
| spl3_70 ),
inference(avatar_split_clause,[],[f727,f732,f568]) ).
fof(f727,plain,
! [X0] :
( line_equal(m,s)
| point_equal(X0,f)
| ~ incident(X0,s)
| ~ incident(X0,m) ),
inference(resolution,[],[f224,f124]) ).
fof(f689,plain,
( spl3_61
| spl3_62 ),
inference(avatar_split_clause,[],[f668,f686,f683]) ).
fof(f668,plain,
! [X0] :
( line_equal(p,l)
| point_equal(X0,b)
| ~ incident(X0,l)
| ~ incident(X0,p) ),
inference(resolution,[],[f210,f131]) ).
fof(f210,plain,
! [X0,X1] :
( ~ incident(b,X1)
| line_equal(X1,l)
| point_equal(X0,b)
| ~ incident(X0,l)
| ~ incident(X0,X1) ),
inference(resolution,[],[f137,f91]) ).
fof(f681,plain,
( spl3_59
| spl3_60 ),
inference(avatar_split_clause,[],[f667,f678,f675]) ).
fof(f667,plain,
! [X0] :
( line_equal(n,l)
| point_equal(X0,b)
| ~ incident(X0,l)
| ~ incident(X0,n) ),
inference(resolution,[],[f210,f130]) ).
fof(f660,plain,
( spl3_54
| spl3_4 ),
inference(avatar_split_clause,[],[f659,f108,f637]) ).
fof(f659,plain,
( ! [X0] :
( point_equal(X0,i)
| ~ incident(X0,r)
| ~ incident(X0,s) )
| spl3_4 ),
inference(subsumption_resolution,[],[f656,f110]) ).
fof(f656,plain,
! [X0] :
( line_equal(s,r)
| point_equal(X0,i)
| ~ incident(X0,r)
| ~ incident(X0,s) ),
inference(resolution,[],[f209,f119]) ).
fof(f604,plain,
( spl3_50
| spl3_1 ),
inference(avatar_split_clause,[],[f603,f94,f590]) ).
fof(f603,plain,
( ! [X0] :
( point_equal(X0,g)
| ~ incident(X0,o)
| ~ incident(X0,n) )
| spl3_1 ),
inference(subsumption_resolution,[],[f600,f96]) ).
fof(f600,plain,
! [X0] :
( line_equal(n,o)
| point_equal(X0,g)
| ~ incident(X0,o)
| ~ incident(X0,n) ),
inference(resolution,[],[f205,f120]) ).
fof(f582,plain,
( spl3_48
| spl3_49 ),
inference(avatar_split_clause,[],[f565,f579,f576]) ).
fof(f565,plain,
! [X0] :
( line_equal(n,m)
| point_equal(X0,f)
| ~ incident(X0,m)
| ~ incident(X0,n) ),
inference(resolution,[],[f203,f140]) ).
fof(f203,plain,
! [X0,X1] :
( ~ incident(f,X1)
| line_equal(X1,m)
| point_equal(X0,f)
| ~ incident(X0,m)
| ~ incident(X0,X1) ),
inference(resolution,[],[f91,f124]) ).
fof(f574,plain,
( spl3_46
| spl3_47 ),
inference(avatar_split_clause,[],[f564,f571,f568]) ).
fof(f564,plain,
! [X0] :
( line_equal(s,m)
| point_equal(X0,f)
| ~ incident(X0,m)
| ~ incident(X0,s) ),
inference(resolution,[],[f203,f139]) ).
fof(f559,plain,
( spl3_44
| spl3_45 ),
inference(avatar_split_clause,[],[f542,f556,f553]) ).
fof(f542,plain,
! [X0] :
( line_equal(r,m)
| point_equal(X0,d)
| ~ incident(X0,m)
| ~ incident(X0,r) ),
inference(resolution,[],[f202,f143]) ).
fof(f202,plain,
! [X0,X1] :
( ~ incident(d,X1)
| line_equal(X1,m)
| point_equal(X0,d)
| ~ incident(X0,m)
| ~ incident(X0,X1) ),
inference(resolution,[],[f91,f134]) ).
fof(f551,plain,
( spl3_42
| spl3_43 ),
inference(avatar_split_clause,[],[f541,f548,f545]) ).
fof(f541,plain,
! [X0] :
( line_equal(p,m)
| point_equal(X0,d)
| ~ incident(X0,m)
| ~ incident(X0,p) ),
inference(resolution,[],[f202,f141]) ).
fof(f528,plain,
( spl3_35
| spl3_40 ),
inference(avatar_split_clause,[],[f520,f525,f490]) ).
fof(f520,plain,
! [X0] :
( line_equal(l,r)
| point_equal(X0,c)
| ~ incident(X0,r)
| ~ incident(X0,l) ),
inference(resolution,[],[f201,f117]) ).
fof(f516,plain,
( spl3_38
| spl3_39 ),
inference(avatar_split_clause,[],[f502,f513,f510]) ).
fof(f502,plain,
! [X0] :
( line_equal(r,o)
| point_equal(X0,c)
| ~ incident(X0,o)
| ~ incident(X0,r) ),
inference(resolution,[],[f200,f133]) ).
fof(f200,plain,
! [X0,X1] :
( ~ incident(c,X1)
| line_equal(X1,o)
| point_equal(X0,c)
| ~ incident(X0,o)
| ~ incident(X0,X1) ),
inference(resolution,[],[f91,f132]) ).
fof(f508,plain,
( spl3_33
| spl3_37 ),
inference(avatar_split_clause,[],[f500,f505,f482]) ).
fof(f500,plain,
! [X0] :
( line_equal(l,o)
| point_equal(X0,c)
| ~ incident(X0,o)
| ~ incident(X0,l) ),
inference(resolution,[],[f200,f117]) ).
fof(f488,plain,
( spl3_33
| spl3_34 ),
inference(avatar_split_clause,[],[f478,f485,f482]) ).
fof(f478,plain,
! [X0] :
( line_equal(o,l)
| point_equal(X0,c)
| ~ incident(X0,l)
| ~ incident(X0,o) ),
inference(resolution,[],[f199,f132]) ).
fof(f465,plain,
( spl3_29
| spl3_30 ),
inference(avatar_split_clause,[],[f455,f463,f459]) ).
fof(f455,plain,
! [X0] :
( line_equal(X0,p)
| ~ incident(b,X0)
| point_equal(d,b)
| ~ incident(d,X0) ),
inference(resolution,[],[f198,f141]) ).
fof(f198,plain,
! [X0,X1] :
( ~ incident(X0,p)
| line_equal(X1,p)
| ~ incident(b,X1)
| point_equal(X0,b)
| ~ incident(X0,X1) ),
inference(resolution,[],[f91,f131]) ).
fof(f447,plain,
( spl3_27
| spl3_28 ),
inference(avatar_split_clause,[],[f430,f445,f441]) ).
fof(f430,plain,
! [X0] :
( line_equal(X0,n)
| ~ incident(b,X0)
| point_equal(g,b)
| ~ incident(g,X0) ),
inference(resolution,[],[f197,f120]) ).
fof(f197,plain,
! [X0,X1] :
( ~ incident(X0,n)
| line_equal(X1,n)
| ~ incident(b,X1)
| point_equal(X0,b)
| ~ incident(X0,X1) ),
inference(resolution,[],[f91,f130]) ).
fof(f439,plain,
( spl3_25
| spl3_26 ),
inference(avatar_split_clause,[],[f429,f437,f433]) ).
fof(f429,plain,
! [X0] :
( line_equal(X0,n)
| ~ incident(b,X0)
| point_equal(f,b)
| ~ incident(f,X0) ),
inference(resolution,[],[f197,f140]) ).
fof(f424,plain,
( spl3_21
| spl3_24 ),
inference(avatar_split_clause,[],[f412,f421,f401]) ).
fof(f412,plain,
! [X0] :
( line_equal(q,s)
| point_equal(X0,a)
| ~ incident(X0,s)
| ~ incident(X0,q) ),
inference(resolution,[],[f196,f128]) ).
fof(f407,plain,
( spl3_21
| spl3_22 ),
inference(avatar_split_clause,[],[f393,f404,f401]) ).
fof(f393,plain,
! [X0] :
( line_equal(s,q)
| point_equal(X0,a)
| ~ incident(X0,q)
| ~ incident(X0,s) ),
inference(resolution,[],[f195,f129]) ).
fof(f399,plain,
( spl3_16
| spl3_20 ),
inference(avatar_split_clause,[],[f391,f396,f376]) ).
fof(f391,plain,
! [X0] :
( line_equal(l,q)
| point_equal(X0,a)
| ~ incident(X0,q)
| ~ incident(X0,l) ),
inference(resolution,[],[f195,f127]) ).
fof(f382,plain,
( spl3_16
| spl3_17 ),
inference(avatar_split_clause,[],[f364,f379,f376]) ).
fof(f364,plain,
! [X0] :
( line_equal(q,l)
| point_equal(X0,a)
| ~ incident(X0,l)
| ~ incident(X0,q) ),
inference(resolution,[],[f194,f128]) ).
fof(f194,plain,
! [X0,X1] :
( ~ incident(a,X1)
| line_equal(X1,l)
| point_equal(X0,a)
| ~ incident(X0,l)
| ~ incident(X0,X1) ),
inference(resolution,[],[f91,f127]) ).
fof(f265,plain,
( spl3_10
| spl3_11 ),
inference(avatar_split_clause,[],[f257,f263,f259]) ).
fof(f257,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( incident(d,X0)
| incident(X1,m)
| incident(X2,m)
| incident(a,m)
| colinear(X3,X4,i,sK2(X3,X4,i))
| incident(f,X0)
| ~ colinear(X1,d,i,X5)
| ~ colinear(a,e,X4,X6)
| ~ colinear(X2,d,X4,X7)
| ~ colinear(X1,e,X3,X8)
| ~ colinear(X2,f,X3,X9)
| incident(e,X0)
| ~ colinear(a,X2,X1,X0) ),
inference(resolution,[],[f215,f65]) ).
fof(f215,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ colinear(X2,X0,f,X4)
| incident(X2,X1)
| incident(X3,X4)
| incident(X5,X4)
| incident(a,X4)
| colinear(X6,X7,i,sK2(X6,X7,i))
| incident(f,X1)
| ~ colinear(X3,X2,i,X8)
| ~ colinear(a,X0,X7,X9)
| ~ colinear(X5,X2,X7,X10)
| ~ colinear(X3,X0,X6,X11)
| ~ colinear(X5,f,X6,X12)
| incident(X0,X1)
| ~ colinear(a,X5,X3,X1) ),
inference(resolution,[],[f92,f71]) ).
fof(f92,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X7,X4,X14,X15,X5,X12,X13] :
( ~ colinear(X0,X5,X8,X16)
| incident(X4,X9)
| incident(X3,X9)
| incident(X2,X10)
| incident(X1,X10)
| incident(X0,X10)
| colinear(X6,X7,X8,sK2(X6,X7,X8))
| incident(X5,X9)
| ~ colinear(X2,X3,X8,X15)
| ~ colinear(X0,X4,X7,X14)
| ~ colinear(X1,X3,X7,X13)
| ~ colinear(X2,X4,X6,X12)
| ~ colinear(X1,X5,X6,X11)
| ~ colinear(X3,X4,X5,X10)
| ~ colinear(X0,X1,X2,X9) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( incident(X5,X9)
| incident(X4,X9)
| incident(X3,X9)
| incident(X2,X10)
| incident(X1,X10)
| incident(X0,X10)
| colinear(X6,X7,X8,sK2(X6,X7,X8))
| ~ colinear(X0,X5,X8,X16)
| ~ colinear(X2,X3,X8,X15)
| ~ colinear(X0,X4,X7,X14)
| ~ colinear(X1,X3,X7,X13)
| ~ colinear(X2,X4,X6,X12)
| ~ colinear(X1,X5,X6,X11)
| ~ colinear(X3,X4,X5,X10)
| ~ colinear(X0,X1,X2,X9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f55,f61]) ).
fof(f61,plain,
! [X6,X7,X8] :
( ? [X17] : colinear(X6,X7,X8,X17)
=> colinear(X6,X7,X8,sK2(X6,X7,X8)) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( incident(X5,X9)
| incident(X4,X9)
| incident(X3,X9)
| incident(X2,X10)
| incident(X1,X10)
| incident(X0,X10)
| ? [X17] : colinear(X6,X7,X8,X17)
| ~ colinear(X0,X5,X8,X16)
| ~ colinear(X2,X3,X8,X15)
| ~ colinear(X0,X4,X7,X14)
| ~ colinear(X1,X3,X7,X13)
| ~ colinear(X2,X4,X6,X12)
| ~ colinear(X1,X5,X6,X11)
| ~ colinear(X3,X4,X5,X10)
| ~ colinear(X0,X1,X2,X9) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( incident(X5,X9)
| incident(X4,X9)
| incident(X3,X9)
| incident(X2,X10)
| incident(X1,X10)
| incident(X0,X10)
| ? [X17] : colinear(X6,X7,X8,X17)
| ~ colinear(X0,X5,X8,X16)
| ~ colinear(X2,X3,X8,X15)
| ~ colinear(X0,X4,X7,X14)
| ~ colinear(X1,X3,X7,X13)
| ~ colinear(X2,X4,X6,X12)
| ~ colinear(X1,X5,X6,X11)
| ~ colinear(X3,X4,X5,X10)
| ~ colinear(X0,X1,X2,X9) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ( colinear(X0,X5,X8,X16)
& colinear(X2,X3,X8,X15)
& colinear(X0,X4,X7,X14)
& colinear(X1,X3,X7,X13)
& colinear(X2,X4,X6,X12)
& colinear(X1,X5,X6,X11)
& colinear(X3,X4,X5,X10)
& colinear(X0,X1,X2,X9) )
=> ( incident(X5,X9)
| incident(X4,X9)
| incident(X3,X9)
| incident(X2,X10)
| incident(X1,X10)
| incident(X0,X10)
| ? [X17] : colinear(X6,X7,X8,X17) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pappus1) ).
fof(f189,plain,
( ~ spl3_8
| ~ spl3_9
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f171,f113,f186,f182]) ).
fof(f171,plain,
( ~ incident(g,r)
| ~ incident(h,r)
| ~ spl3_5 ),
inference(resolution,[],[f167,f123]) ).
fof(f180,plain,
( ~ spl3_6
| ~ spl3_7
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f170,f113,f177,f173]) ).
fof(f170,plain,
( ~ incident(g,s)
| ~ incident(h,s)
| ~ spl3_5 ),
inference(resolution,[],[f167,f119]) ).
fof(f116,plain,
~ spl3_2,
inference(avatar_split_clause,[],[f63,f98]) ).
fof(f98,plain,
( spl3_2
<=> goal ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f63,plain,
~ goal,
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
~ goal,
inference(flattening,[],[f25]) ).
fof(f25,negated_conjecture,
~ goal,
inference(negated_conjecture,[],[f24]) ).
fof(f24,conjecture,
goal,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_to_be_proved) ).
fof(f115,plain,
( spl3_5
| spl3_2 ),
inference(avatar_split_clause,[],[f75,f98,f113]) ).
fof(f75,plain,
! [X0] :
( goal
| ~ incident(i,X0)
| ~ incident(h,X0)
| ~ incident(g,X0)
| ~ line_equal(X0,X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( goal
| ~ incident(i,X0)
| ~ incident(h,X0)
| ~ incident(g,X0)
| ~ line_equal(X0,X0) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X0] :
( goal
| ~ incident(i,X0)
| ~ incident(h,X0)
| ~ incident(g,X0)
| ~ line_equal(X0,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( incident(i,X0)
& incident(h,X0)
& incident(g,X0)
& line_equal(X0,X0) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal4) ).
fof(f111,plain,
( ~ spl3_4
| spl3_2 ),
inference(avatar_split_clause,[],[f74,f98,f108]) ).
fof(f74,plain,
( goal
| ~ line_equal(s,r) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( goal
| ~ line_equal(s,r) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
( line_equal(s,r)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal3) ).
fof(f106,plain,
( ~ spl3_3
| spl3_2 ),
inference(avatar_split_clause,[],[f73,f98,f103]) ).
fof(f73,plain,
( goal
| ~ line_equal(p,q) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
( goal
| ~ line_equal(p,q) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
( line_equal(p,q)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal2) ).
fof(f101,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f72,f98,f94]) ).
fof(f72,plain,
( goal
| ~ line_equal(n,o) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
( goal
| ~ line_equal(n,o) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
( line_equal(n,o)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO167+1 : TPTP v8.2.0. Released v3.2.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 14:30:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (32014)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (32016)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.38 % (32017)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.21/0.38 % (32015)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.38 % (32019)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.38 % (32018)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.38 % (32020)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.38 % (32021)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.38 TRYING [1,1]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2,1]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [1,1]
% 0.21/0.38 TRYING [2,1]
% 0.21/0.38 TRYING [3,1]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [3,1]
% 0.21/0.38 TRYING [3]
% 0.21/0.42 TRYING [2,2]
% 0.21/0.42 TRYING [3,2]
% 0.21/0.42 TRYING [2,2]
% 0.21/0.42 TRYING [4]
% 0.21/0.43 TRYING [3,2]
% 0.21/0.43 TRYING [4]
% 0.21/0.45 TRYING [4,2]
% 0.21/0.46 TRYING [4,2]
% 1.54/0.62 TRYING [3,3]
% 1.54/0.62 TRYING [3,3]
% 2.03/0.64 TRYING [4,3]
% 2.03/0.65 TRYING [4,3]
% 2.94/0.80 TRYING [5]
% 3.40/0.85 TRYING [5,2]
% 3.67/0.86 TRYING [5,2]
% 3.67/0.87 TRYING [5]
% 10.11/1.80 TRYING [5,3]
% 10.35/1.82 TRYING [5,3]
% 18.29/2.95 TRYING [4,4]
% 19.02/3.09 TRYING [4,4]
% 20.02/3.24 % (32020)First to succeed.
% 20.52/3.28 % (32020)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32014"
% 20.52/3.29 % (32020)Refutation found. Thanks to Tanya!
% 20.52/3.29 % SZS status Theorem for theBenchmark
% 20.52/3.29 % SZS output start Proof for theBenchmark
% See solution above
% 20.52/3.29 % (32020)------------------------------
% 20.52/3.29 % (32020)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 20.52/3.29 % (32020)Termination reason: Refutation
% 20.52/3.29
% 20.52/3.29 % (32020)Memory used [KB]: 35939
% 20.52/3.29 % (32020)Time elapsed: 2.903 s
% 20.52/3.29 % (32020)Instructions burned: 9170 (million)
% 20.52/3.29 % (32014)Success in time 2.902 s
%------------------------------------------------------------------------------