TSTP Solution File: GEO169+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO169+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.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 : Tue Apr 30 11:14:16 EDT 2024
% Result : Theorem 2.36s 0.67s
% Output : Refutation 2.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 167
% Syntax : Number of formulae : 837 ( 60 unt; 0 def)
% Number of atoms : 2416 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 2865 (1286 ~;1426 |; 17 &)
% ( 119 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 124 ( 123 usr; 121 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 19 con; 0-0 aty)
% Number of variables : 337 ( 337 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9960,plain,
$false,
inference(avatar_sat_refutation,[],[f143,f152,f161,f170,f175,f180,f185,f190,f195,f196,f197,f201,f205,f209,f210,f287,f345,f358,f386,f478,f495,f719,f802,f818,f1156,f1183,f1227,f1247,f1259,f1480,f1509,f1632,f1723,f1743,f1758,f1812,f1833,f1889,f1942,f2216,f2318,f2371,f2505,f2525,f2527,f2586,f2666,f2714,f2733,f2773,f2850,f2862,f2904,f2988,f3034,f3036,f3173,f3281,f3470,f3497,f3533,f3542,f3566,f3648,f3656,f3822,f3913,f3926,f4084,f4185,f4278,f4318,f4356,f4410,f4522,f4546,f4799,f5061,f5075,f5145,f5146,f5158,f5198,f5208,f5226,f5489,f5494,f5500,f5676,f5715,f5913,f5926,f5929,f6136,f6188,f6200,f6204,f6210,f6212,f6374,f6376,f6631,f6673,f6998,f7045,f7254,f7258,f7262,f7263,f7284,f7486,f7507,f7516,f7572,f8135,f8138,f8145,f8182,f8183,f8189,f8195,f8197,f8363,f8370,f8393,f8731,f8766,f8839,f8845,f8851,f9035,f9066,f9109,f9223,f9231,f9241,f9242,f9248,f9377,f9627,f9739,f9846,f9854,f9958]) ).
fof(f9958,plain,
( ~ spl0_16
| ~ spl0_45
| ~ spl0_100 ),
inference(avatar_contradiction_clause,[],[f9957]) ).
fof(f9957,plain,
( $false
| ~ spl0_16
| ~ spl0_45
| ~ spl0_100 ),
inference(subsumption_resolution,[],[f9956,f90]) ).
fof(f90,plain,
incident(ac,a2c2),
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
incident(ac,a2c2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iac2) ).
fof(f9956,plain,
( ~ incident(ac,a2c2)
| ~ spl0_16
| ~ spl0_45
| ~ spl0_100 ),
inference(subsumption_resolution,[],[f9945,f636]) ).
fof(f636,plain,
( incident(bc,a2c2)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f634,plain,
( spl0_45
<=> incident(bc,a2c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f9945,plain,
( ~ incident(bc,a2c2)
| ~ incident(ac,a2c2)
| ~ spl0_16
| ~ spl0_100 ),
inference(resolution,[],[f1179,f290]) ).
fof(f290,plain,
( ! [X0] :
( ~ incident(ab,X0)
| ~ incident(bc,X0)
| ~ incident(ac,X0) )
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f208,f129]) ).
fof(f129,plain,
! [X0,X1] :
( ~ incident(X0,X1)
| line_equal(X1,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( line_equal(X1,X1)
| ~ incident(X0,X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0,X1] :
( incident(X0,X1)
=> line_equal(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_line_equal) ).
fof(f208,plain,
( ! [X0] :
( ~ incident(ab,X0)
| ~ line_equal(X0,X0)
| ~ incident(bc,X0)
| ~ incident(ac,X0) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f207,plain,
( spl0_16
<=> ! [X0] :
( ~ incident(ab,X0)
| ~ line_equal(X0,X0)
| ~ incident(bc,X0)
| ~ incident(ac,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1179,plain,
( incident(ab,a2c2)
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f1177]) ).
fof(f1177,plain,
( spl0_100
<=> incident(ab,a2c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f9854,plain,
( ~ spl0_14
| ~ spl0_40
| ~ spl0_110 ),
inference(avatar_contradiction_clause,[],[f9853]) ).
fof(f9853,plain,
( $false
| ~ spl0_14
| ~ spl0_40
| ~ spl0_110 ),
inference(subsumption_resolution,[],[f9852,f110]) ).
fof(f110,plain,
incident(b1,a1b1),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
incident(b1,a1b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib1a1) ).
fof(f9852,plain,
( ~ incident(b1,a1b1)
| ~ spl0_14
| ~ spl0_40
| ~ spl0_110 ),
inference(subsumption_resolution,[],[f9849,f275]) ).
fof(f275,plain,
( ~ incident(b1,a1c1)
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f264,f107]) ).
fof(f107,plain,
incident(a1,a1c1),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
incident(a1,a1c1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia1c1) ).
fof(f264,plain,
( ~ incident(a1,a1c1)
| ~ incident(b1,a1c1)
| ~ spl0_14 ),
inference(resolution,[],[f200,f106]) ).
fof(f106,plain,
incident(c1,a1c1),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
incident(c1,a1c1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic1a1) ).
fof(f200,plain,
( ! [X0] :
( ~ incident(c1,X0)
| ~ incident(a1,X0)
| ~ incident(b1,X0) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f199,plain,
( spl0_14
<=> ! [X0] :
( ~ incident(c1,X0)
| ~ incident(a1,X0)
| ~ incident(b1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f9849,plain,
( incident(b1,a1c1)
| ~ incident(b1,a1b1)
| ~ spl0_40
| ~ spl0_110 ),
inference(resolution,[],[f494,f1269]) ).
fof(f1269,plain,
( incident(b1,oa)
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f1267]) ).
fof(f1267,plain,
( spl0_110
<=> incident(b1,oa) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f494,plain,
( ! [X0] :
( ~ incident(X0,oa)
| incident(X0,a1c1)
| ~ incident(X0,a1b1) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f493,plain,
( spl0_40
<=> ! [X0] :
( ~ incident(X0,a1b1)
| incident(X0,a1c1)
| ~ incident(X0,oa) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f9846,plain,
( ~ spl0_124
| spl0_163
| ~ spl0_166 ),
inference(avatar_contradiction_clause,[],[f9845]) ).
fof(f9845,plain,
( $false
| ~ spl0_124
| spl0_163
| ~ spl0_166 ),
inference(subsumption_resolution,[],[f9843,f1738]) ).
fof(f1738,plain,
( ~ line_equal(ob,oa)
| spl0_163 ),
inference(avatar_component_clause,[],[f1737]) ).
fof(f1737,plain,
( spl0_163
<=> line_equal(ob,oa) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f9843,plain,
( line_equal(ob,oa)
| ~ spl0_124
| ~ spl0_166 ),
inference(resolution,[],[f9419,f1798]) ).
fof(f1798,plain,
( line_equal(a2b2,oa)
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f1796]) ).
fof(f1796,plain,
( spl0_166
<=> line_equal(a2b2,oa) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f9419,plain,
( ! [X0] :
( ~ line_equal(a2b2,X0)
| line_equal(ob,X0) )
| ~ spl0_124 ),
inference(resolution,[],[f1385,f132]) ).
fof(f132,plain,
! [X2,X0,X1] :
( ~ line_equal(X0,X1)
| ~ line_equal(X1,X2)
| line_equal(X0,X2) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1,X2] :
( line_equal(X0,X2)
| ~ line_equal(X1,X2)
| ~ line_equal(X0,X1) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( line_equal(X0,X2)
| ~ line_equal(X1,X2)
| ~ line_equal(X0,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,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(f1385,plain,
( line_equal(ob,a2b2)
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f1383]) ).
fof(f1383,plain,
( spl0_124
<=> line_equal(ob,a2b2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f9739,plain,
( spl0_166
| ~ spl0_243 ),
inference(avatar_split_clause,[],[f9738,f2906,f1796]) ).
fof(f2906,plain,
( spl0_243
<=> line_equal(oa,a2b2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
fof(f9738,plain,
( line_equal(a2b2,oa)
| ~ spl0_243 ),
inference(resolution,[],[f2908,f127]) ).
fof(f127,plain,
! [X0,X1] :
( ~ line_equal(X0,X1)
| line_equal(X1,X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( line_equal(X1,X0)
| ~ line_equal(X0,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0,X1] :
( line_equal(X0,X1)
=> line_equal(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_line_equal) ).
fof(f2908,plain,
( line_equal(oa,a2b2)
| ~ spl0_243 ),
inference(avatar_component_clause,[],[f2906]) ).
fof(f9627,plain,
( ~ spl0_6
| spl0_55
| ~ spl0_59
| ~ spl0_135 ),
inference(avatar_contradiction_clause,[],[f9626]) ).
fof(f9626,plain,
( $false
| ~ spl0_6
| spl0_55
| ~ spl0_59
| ~ spl0_135 ),
inference(subsumption_resolution,[],[f9625,f160]) ).
fof(f160,plain,
( incident(b2,a1c1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f158,plain,
( spl0_6
<=> incident(b2,a1c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f9625,plain,
( ~ incident(b2,a1c1)
| spl0_55
| ~ spl0_59
| ~ spl0_135 ),
inference(subsumption_resolution,[],[f9606,f758]) ).
fof(f758,plain,
( ~ incident(b2,a1b1)
| spl0_55 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f756,plain,
( spl0_55
<=> incident(b2,a1b1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f9606,plain,
( incident(b2,a1b1)
| ~ incident(b2,a1c1)
| ~ spl0_59
| ~ spl0_135 ),
inference(resolution,[],[f1493,f774]) ).
fof(f774,plain,
( ! [X0] :
( ~ incident(X0,oa)
| incident(X0,a1b1)
| ~ incident(X0,a1c1) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f773,plain,
( spl0_59
<=> ! [X0] :
( ~ incident(X0,a1c1)
| incident(X0,a1b1)
| ~ incident(X0,oa) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f1493,plain,
( incident(b2,oa)
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f1491]) ).
fof(f1491,plain,
( spl0_135
<=> incident(b2,oa) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f9377,plain,
( ~ spl0_28
| ~ spl0_56
| spl0_268 ),
inference(avatar_contradiction_clause,[],[f9376]) ).
fof(f9376,plain,
( $false
| ~ spl0_28
| ~ spl0_56
| spl0_268 ),
inference(subsumption_resolution,[],[f9375,f111]) ).
fof(f111,plain,
incident(a1,a1b1),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
incident(a1,a1b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia1b1) ).
fof(f9375,plain,
( ~ incident(a1,a1b1)
| ~ spl0_28
| ~ spl0_56
| spl0_268 ),
inference(subsumption_resolution,[],[f9373,f3422]) ).
fof(f3422,plain,
( ~ line_equal(a2b2,a1b1)
| spl0_268 ),
inference(avatar_component_clause,[],[f3421]) ).
fof(f3421,plain,
( spl0_268
<=> line_equal(a2b2,a1b1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).
fof(f9373,plain,
( line_equal(a2b2,a1b1)
| ~ incident(a1,a1b1)
| ~ spl0_28
| ~ spl0_56 ),
inference(resolution,[],[f344,f761]) ).
fof(f761,plain,
( incident(a2,a1b1)
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f760,plain,
( spl0_56
<=> incident(a2,a1b1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f344,plain,
( ! [X0] :
( ~ incident(a2,X0)
| line_equal(a2b2,X0)
| ~ incident(a1,X0) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f343,plain,
( spl0_28
<=> ! [X0] :
( ~ incident(a1,X0)
| line_equal(a2b2,X0)
| ~ incident(a2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f9248,plain,
( ~ spl0_135
| spl0_243
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f5876,f1495,f2906,f1491]) ).
fof(f1495,plain,
( spl0_136
<=> ! [X0] :
( ~ incident(a2,X0)
| line_equal(X0,a2b2)
| ~ incident(b2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f5876,plain,
( line_equal(oa,a2b2)
| ~ incident(b2,oa)
| ~ spl0_136 ),
inference(resolution,[],[f1496,f96]) ).
fof(f96,plain,
incident(a2,oa),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
incident(a2,oa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia2oa) ).
fof(f1496,plain,
( ! [X0] :
( ~ incident(a2,X0)
| line_equal(X0,a2b2)
| ~ incident(b2,X0) )
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f1495]) ).
fof(f9242,plain,
( spl0_110
| spl0_111
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f8759,f145,f1271,f1267]) ).
fof(f1271,plain,
( spl0_111
<=> ! [X0] :
( ~ incident(a2,X0)
| line_equal(X0,a2c2)
| ~ incident(b1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f145,plain,
( spl0_3
<=> incident(b1,a2c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f8759,plain,
( ! [X0] :
( ~ incident(a2,X0)
| ~ incident(b1,X0)
| line_equal(X0,a2c2)
| incident(b1,oa) )
| ~ spl0_3 ),
inference(resolution,[],[f147,f611]) ).
fof(f611,plain,
! [X0,X1] :
( ~ incident(X1,a2c2)
| ~ incident(a2,X0)
| ~ incident(X1,X0)
| line_equal(X0,a2c2)
| incident(X1,oa) ),
inference(resolution,[],[f407,f105]) ).
fof(f105,plain,
incident(a2,a2c2),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
incident(a2,a2c2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia2c2) ).
fof(f407,plain,
! [X2,X0,X1] :
( ~ incident(a2,X0)
| ~ incident(a2,X1)
| ~ incident(X2,X0)
| ~ incident(X2,X1)
| line_equal(X1,X0)
| incident(X2,oa) ),
inference(resolution,[],[f314,f96]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4] :
( ~ incident(X2,X4)
| ~ incident(X2,X1)
| ~ incident(X2,X0)
| ~ incident(X3,X1)
| ~ incident(X3,X0)
| line_equal(X0,X1)
| incident(X3,X4) ),
inference(resolution,[],[f134,f131]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ~ point_equal(X0,X1)
| ~ incident(X1,X2)
| incident(X0,X2) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2] :
( incident(X0,X2)
| ~ incident(X1,X2)
| ~ point_equal(X0,X1) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( incident(X0,X2)
| ~ incident(X1,X2)
| ~ point_equal(X0,X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0,X1,X2] :
( ( incident(X1,X2)
& point_equal(X0,X1) )
=> incident(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pcon) ).
fof(f134,plain,
! [X2,X3,X0,X1] :
( point_equal(X0,X1)
| line_equal(X2,X3)
| ~ incident(X1,X3)
| ~ incident(X1,X2)
| ~ incident(X0,X3)
| ~ incident(X0,X2) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1,X2,X3] :
( line_equal(X2,X3)
| point_equal(X0,X1)
| ~ incident(X1,X3)
| ~ incident(X1,X2)
| ~ incident(X0,X3)
| ~ incident(X0,X2) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X2,X3] :
( line_equal(X2,X3)
| point_equal(X0,X1)
| ~ incident(X1,X3)
| ~ incident(X1,X2)
| ~ incident(X0,X3)
| ~ incident(X0,X2) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0,X1,X2,X3] :
( ( incident(X1,X3)
& incident(X1,X2)
& incident(X0,X3)
& incident(X0,X2) )
=> ( line_equal(X2,X3)
| point_equal(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique) ).
fof(f147,plain,
( incident(b1,a2c2)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f9241,plain,
( spl0_185
| spl0_101
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f8823,f140,f1181,f2019]) ).
fof(f2019,plain,
( spl0_185
<=> incident(ab,b1c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f1181,plain,
( spl0_101
<=> ! [X0] :
( ~ incident(a2,X0)
| line_equal(X0,a2b2)
| ~ incident(ab,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f140,plain,
( spl0_2
<=> incident(a2,b1c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f8823,plain,
( ! [X0] :
( ~ incident(a2,X0)
| ~ incident(ab,X0)
| line_equal(X0,a2b2)
| incident(ab,b1c1) )
| ~ spl0_2 ),
inference(resolution,[],[f8550,f88]) ).
fof(f88,plain,
incident(ab,a2b2),
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
incident(ab,a2b2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iab2) ).
fof(f8550,plain,
( ! [X0,X1] :
( ~ incident(X1,a2b2)
| ~ incident(a2,X0)
| ~ incident(X1,X0)
| line_equal(X0,a2b2)
| incident(X1,b1c1) )
| ~ spl0_2 ),
inference(resolution,[],[f8390,f109]) ).
fof(f109,plain,
incident(a2,a2b2),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
incident(a2,a2b2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia2b2) ).
fof(f8390,plain,
( ! [X2,X0,X1] :
( ~ incident(a2,X0)
| ~ incident(a2,X1)
| ~ incident(X2,X0)
| ~ incident(X2,X1)
| line_equal(X1,X0)
| incident(X2,b1c1) )
| ~ spl0_2 ),
inference(resolution,[],[f142,f314]) ).
fof(f142,plain,
( incident(a2,b1c1)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f9231,plain,
( spl0_83
| ~ spl0_369 ),
inference(avatar_split_clause,[],[f8947,f6301,f978]) ).
fof(f978,plain,
( spl0_83
<=> line_equal(a2c2,b1c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f6301,plain,
( spl0_369
<=> line_equal(b1c1,a2c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).
fof(f8947,plain,
( line_equal(a2c2,b1c1)
| ~ spl0_369 ),
inference(resolution,[],[f6303,f127]) ).
fof(f6303,plain,
( line_equal(b1c1,a2c2)
| ~ spl0_369 ),
inference(avatar_component_clause,[],[f6301]) ).
fof(f9223,plain,
( ~ spl0_83
| ~ spl0_98
| spl0_159 ),
inference(avatar_contradiction_clause,[],[f9222]) ).
fof(f9222,plain,
( $false
| ~ spl0_83
| ~ spl0_98
| spl0_159 ),
inference(subsumption_resolution,[],[f9221,f1698]) ).
fof(f1698,plain,
( ~ line_equal(a2c2,oc)
| spl0_159 ),
inference(avatar_component_clause,[],[f1697]) ).
fof(f1697,plain,
( spl0_159
<=> line_equal(a2c2,oc) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f9221,plain,
( line_equal(a2c2,oc)
| ~ spl0_83
| ~ spl0_98 ),
inference(resolution,[],[f8799,f1152]) ).
fof(f1152,plain,
( line_equal(b1c1,oc)
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f1150]) ).
fof(f1150,plain,
( spl0_98
<=> line_equal(b1c1,oc) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f8799,plain,
( ! [X0] :
( ~ line_equal(b1c1,X0)
| line_equal(a2c2,X0) )
| ~ spl0_83 ),
inference(resolution,[],[f980,f132]) ).
fof(f980,plain,
( line_equal(a2c2,b1c1)
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f978]) ).
fof(f9109,plain,
( spl0_70
| spl0_9
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f9097,f6297,f172,f902]) ).
fof(f902,plain,
( spl0_70
<=> line_equal(oc,b1c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f172,plain,
( spl0_9
<=> point_equal(c2,c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f6297,plain,
( spl0_368
<=> incident(c2,b1c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).
fof(f9097,plain,
( line_equal(oc,b1c1)
| spl0_9
| ~ spl0_368 ),
inference(subsumption_resolution,[],[f9079,f103]) ).
fof(f103,plain,
incident(c1,b1c1),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
incident(c1,b1c1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic1b1) ).
fof(f9079,plain,
( ~ incident(c1,b1c1)
| line_equal(oc,b1c1)
| spl0_9
| ~ spl0_368 ),
inference(resolution,[],[f6298,f370]) ).
fof(f370,plain,
( ! [X0] :
( ~ incident(c2,X0)
| ~ incident(c1,X0)
| line_equal(oc,X0) )
| spl0_9 ),
inference(subsumption_resolution,[],[f367,f99]) ).
fof(f99,plain,
incident(c1,oc),
inference(cnf_transformation,[],[f26]) ).
fof(f26,axiom,
incident(c1,oc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic1oc) ).
fof(f367,plain,
( ! [X0] :
( ~ incident(c1,X0)
| ~ incident(c1,oc)
| ~ incident(c2,X0)
| line_equal(oc,X0) )
| spl0_9 ),
inference(resolution,[],[f319,f94]) ).
fof(f94,plain,
incident(c2,oc),
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
incident(c2,oc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic2oc) ).
fof(f319,plain,
( ! [X0,X1] :
( ~ incident(c2,X0)
| ~ incident(c1,X1)
| ~ incident(c1,X0)
| ~ incident(c2,X1)
| line_equal(X0,X1) )
| spl0_9 ),
inference(resolution,[],[f134,f174]) ).
fof(f174,plain,
( ~ point_equal(c2,c1)
| spl0_9 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f6298,plain,
( incident(c2,b1c1)
| ~ spl0_368 ),
inference(avatar_component_clause,[],[f6297]) ).
fof(f9066,plain,
( spl0_368
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f9063,f978,f6297]) ).
fof(f9063,plain,
( incident(c2,b1c1)
| ~ spl0_83 ),
inference(resolution,[],[f8798,f104]) ).
fof(f104,plain,
incident(c2,a2c2),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
incident(c2,a2c2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic2a2) ).
fof(f8798,plain,
( ! [X0] :
( ~ incident(X0,a2c2)
| incident(X0,b1c1) )
| ~ spl0_83 ),
inference(resolution,[],[f980,f133]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ line_equal(X1,X2)
| incident(X0,X2)
| ~ incident(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X2] :
( incident(X0,X2)
| ~ line_equal(X1,X2)
| ~ incident(X0,X1) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( incident(X0,X2)
| ~ line_equal(X1,X2)
| ~ incident(X0,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0,X1,X2] :
( ( line_equal(X1,X2)
& incident(X0,X1) )
=> incident(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lcon) ).
fof(f9035,plain,
( ~ spl0_14
| ~ spl0_65 ),
inference(avatar_contradiction_clause,[],[f9034]) ).
fof(f9034,plain,
( $false
| ~ spl0_14
| ~ spl0_65 ),
inference(subsumption_resolution,[],[f9029,f274]) ).
fof(f274,plain,
( ~ incident(a1,b1c1)
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f263,f102]) ).
fof(f102,plain,
incident(b1,b1c1),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
incident(b1,b1c1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib1c1) ).
fof(f263,plain,
( ~ incident(a1,b1c1)
| ~ incident(b1,b1c1)
| ~ spl0_14 ),
inference(resolution,[],[f200,f103]) ).
fof(f9029,plain,
( incident(a1,b1c1)
| ~ spl0_65 ),
inference(resolution,[],[f8518,f111]) ).
fof(f8518,plain,
( ! [X0] :
( ~ incident(X0,a1b1)
| incident(X0,b1c1) )
| ~ spl0_65 ),
inference(resolution,[],[f864,f133]) ).
fof(f864,plain,
( line_equal(a1b1,b1c1)
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f862,plain,
( spl0_65
<=> line_equal(a1b1,b1c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f8851,plain,
( spl0_369
| spl0_86
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f8847,f145,f990,f6301]) ).
fof(f990,plain,
( spl0_86
<=> ! [X0] :
( ~ incident(X0,b1c1)
| incident(X0,ob)
| ~ incident(X0,a2c2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f8847,plain,
( ! [X0] :
( ~ incident(X0,a2c2)
| ~ incident(X0,b1c1)
| line_equal(b1c1,a2c2)
| incident(X0,ob) )
| ~ spl0_3 ),
inference(resolution,[],[f8749,f102]) ).
fof(f8749,plain,
( ! [X0,X1] :
( ~ incident(b1,X0)
| ~ incident(X1,a2c2)
| ~ incident(X1,X0)
| line_equal(X0,a2c2)
| incident(X1,ob) )
| ~ spl0_3 ),
inference(resolution,[],[f147,f400]) ).
fof(f400,plain,
! [X2,X0,X1] :
( ~ incident(b1,X0)
| ~ incident(b1,X1)
| ~ incident(X2,X0)
| ~ incident(X2,X1)
| line_equal(X1,X0)
| incident(X2,ob) ),
inference(resolution,[],[f314,f97]) ).
fof(f97,plain,
incident(b1,ob),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
incident(b1,ob),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib1ob) ).
fof(f8845,plain,
( spl0_369
| spl0_84
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f8841,f145,f982,f6301]) ).
fof(f982,plain,
( spl0_84
<=> ! [X0] :
( ~ incident(X0,b1c1)
| incident(X0,a1b1)
| ~ incident(X0,a2c2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f8841,plain,
( ! [X0] :
( ~ incident(X0,a2c2)
| ~ incident(X0,b1c1)
| line_equal(b1c1,a2c2)
| incident(X0,a1b1) )
| ~ spl0_3 ),
inference(resolution,[],[f8748,f102]) ).
fof(f8748,plain,
( ! [X0,X1] :
( ~ incident(b1,X0)
| ~ incident(X1,a2c2)
| ~ incident(X1,X0)
| line_equal(X0,a2c2)
| incident(X1,a1b1) )
| ~ spl0_3 ),
inference(resolution,[],[f147,f399]) ).
fof(f399,plain,
! [X2,X0,X1] :
( ~ incident(b1,X0)
| ~ incident(b1,X1)
| ~ incident(X2,X0)
| ~ incident(X2,X1)
| line_equal(X1,X0)
| incident(X2,a1b1) ),
inference(resolution,[],[f314,f110]) ).
fof(f8839,plain,
( spl0_80
| ~ spl0_3
| spl0_226 ),
inference(avatar_split_clause,[],[f8838,f2640,f145,f966]) ).
fof(f966,plain,
( spl0_80
<=> ! [X0] :
( ~ incident(X0,a1b1)
| incident(X0,b1c1)
| ~ incident(X0,a2c2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f2640,plain,
( spl0_226
<=> line_equal(a1b1,a2c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f8838,plain,
( ! [X0] :
( ~ incident(X0,a2c2)
| ~ incident(X0,a1b1)
| incident(X0,b1c1) )
| ~ spl0_3
| spl0_226 ),
inference(subsumption_resolution,[],[f8835,f2641]) ).
fof(f2641,plain,
( ~ line_equal(a1b1,a2c2)
| spl0_226 ),
inference(avatar_component_clause,[],[f2640]) ).
fof(f8835,plain,
( ! [X0] :
( ~ incident(X0,a2c2)
| ~ incident(X0,a1b1)
| line_equal(a1b1,a2c2)
| incident(X0,b1c1) )
| ~ spl0_3 ),
inference(resolution,[],[f8747,f110]) ).
fof(f8747,plain,
( ! [X0,X1] :
( ~ incident(b1,X0)
| ~ incident(X1,a2c2)
| ~ incident(X1,X0)
| line_equal(X0,a2c2)
| incident(X1,b1c1) )
| ~ spl0_3 ),
inference(resolution,[],[f147,f398]) ).
fof(f398,plain,
! [X2,X0,X1] :
( ~ incident(b1,X0)
| ~ incident(b1,X1)
| ~ incident(X2,X0)
| ~ incident(X2,X1)
| line_equal(X1,X0)
| incident(X2,b1c1) ),
inference(resolution,[],[f314,f102]) ).
fof(f8766,plain,
( spl0_83
| spl0_84
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f8752,f145,f982,f978]) ).
fof(f8752,plain,
( ! [X0] :
( ~ incident(X0,b1c1)
| ~ incident(X0,a2c2)
| line_equal(a2c2,b1c1)
| incident(X0,a1b1) )
| ~ spl0_3 ),
inference(resolution,[],[f147,f527]) ).
fof(f527,plain,
! [X0,X1] :
( ~ incident(b1,X0)
| ~ incident(X1,b1c1)
| ~ incident(X1,X0)
| line_equal(X0,b1c1)
| incident(X1,a1b1) ),
inference(resolution,[],[f399,f102]) ).
fof(f8731,plain,
( ~ spl0_36
| ~ spl0_206
| spl0_347 ),
inference(avatar_contradiction_clause,[],[f8730]) ).
fof(f8730,plain,
( $false
| ~ spl0_36
| ~ spl0_206
| spl0_347 ),
inference(subsumption_resolution,[],[f8729,f106]) ).
fof(f8729,plain,
( ~ incident(c1,a1c1)
| ~ spl0_36
| ~ spl0_206
| spl0_347 ),
inference(subsumption_resolution,[],[f8709,f5997]) ).
fof(f5997,plain,
( ~ line_equal(a2c2,a1c1)
| spl0_347 ),
inference(avatar_component_clause,[],[f5996]) ).
fof(f5996,plain,
( spl0_347
<=> line_equal(a2c2,a1c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).
fof(f8709,plain,
( line_equal(a2c2,a1c1)
| ~ incident(c1,a1c1)
| ~ spl0_36
| ~ spl0_206 ),
inference(resolution,[],[f2340,f385]) ).
fof(f385,plain,
( ! [X0] :
( ~ incident(c2,X0)
| line_equal(a2c2,X0)
| ~ incident(c1,X0) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f384,plain,
( spl0_36
<=> ! [X0] :
( ~ incident(c1,X0)
| line_equal(a2c2,X0)
| ~ incident(c2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f2340,plain,
( incident(c2,a1c1)
| ~ spl0_206 ),
inference(avatar_component_clause,[],[f2338]) ).
fof(f2338,plain,
( spl0_206
<=> incident(c2,a1c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f8393,plain,
( spl0_369
| ~ spl0_2
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f8392,f1271,f140,f6301]) ).
fof(f8392,plain,
( line_equal(b1c1,a2c2)
| ~ spl0_2
| ~ spl0_111 ),
inference(subsumption_resolution,[],[f8381,f102]) ).
fof(f8381,plain,
( line_equal(b1c1,a2c2)
| ~ incident(b1,b1c1)
| ~ spl0_2
| ~ spl0_111 ),
inference(resolution,[],[f142,f1272]) ).
fof(f1272,plain,
( ! [X0] :
( ~ incident(a2,X0)
| line_equal(X0,a2c2)
| ~ incident(b1,X0) )
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f1271]) ).
fof(f8370,plain,
( spl0_157
| ~ spl0_20
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f8369,f1225,f284,f1679]) ).
fof(f1679,plain,
( spl0_157
<=> line_equal(oc,a2c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f284,plain,
( spl0_20
<=> incident(a2,oc) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1225,plain,
( spl0_107
<=> ! [X0] :
( ~ incident(a2,X0)
| line_equal(X0,a2c2)
| ~ incident(c2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f8369,plain,
( line_equal(oc,a2c2)
| ~ spl0_20
| ~ spl0_107 ),
inference(subsumption_resolution,[],[f8338,f94]) ).
fof(f8338,plain,
( line_equal(oc,a2c2)
| ~ incident(c2,oc)
| ~ spl0_20
| ~ spl0_107 ),
inference(resolution,[],[f285,f1226]) ).
fof(f1226,plain,
( ! [X0] :
( ~ incident(a2,X0)
| line_equal(X0,a2c2)
| ~ incident(c2,X0) )
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f1225]) ).
fof(f285,plain,
( incident(a2,oc)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f8363,plain,
( ~ spl0_2
| ~ spl0_86
| spl0_145 ),
inference(avatar_split_clause,[],[f8362,f1557,f990,f140]) ).
fof(f1557,plain,
( spl0_145
<=> incident(a2,ob) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f8362,plain,
( ~ incident(a2,b1c1)
| ~ spl0_86
| spl0_145 ),
inference(subsumption_resolution,[],[f7274,f1558]) ).
fof(f1558,plain,
( ~ incident(a2,ob)
| spl0_145 ),
inference(avatar_component_clause,[],[f1557]) ).
fof(f7274,plain,
( incident(a2,ob)
| ~ incident(a2,b1c1)
| ~ spl0_86 ),
inference(resolution,[],[f991,f105]) ).
fof(f991,plain,
( ! [X0] :
( ~ incident(X0,a2c2)
| incident(X0,ob)
| ~ incident(X0,b1c1) )
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f8197,plain,
( spl0_42
| ~ spl0_68
| ~ spl0_137
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f8196,f1822,f1503,f887,f554]) ).
fof(f554,plain,
( spl0_42
<=> incident(bc,oa) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f887,plain,
( spl0_68
<=> incident(bc,oc) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f1503,plain,
( spl0_137
<=> incident(bc,ob) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f1822,plain,
( spl0_169
<=> ! [X0] :
( ~ incident(X0,ob)
| incident(X0,oa)
| ~ incident(X0,oc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f8196,plain,
( incident(bc,oa)
| ~ spl0_68
| ~ spl0_137
| ~ spl0_169 ),
inference(subsumption_resolution,[],[f8169,f1505]) ).
fof(f1505,plain,
( incident(bc,ob)
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f1503]) ).
fof(f8169,plain,
( incident(bc,oa)
| ~ incident(bc,ob)
| ~ spl0_68
| ~ spl0_169 ),
inference(resolution,[],[f1823,f889]) ).
fof(f889,plain,
( incident(bc,oc)
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f887]) ).
fof(f1823,plain,
( ! [X0] :
( ~ incident(X0,oc)
| incident(X0,oa)
| ~ incident(X0,ob) )
| ~ spl0_169 ),
inference(avatar_component_clause,[],[f1822]) ).
fof(f8195,plain,
( ~ spl0_25
| ~ spl0_14
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f8194,f966,f199,f331]) ).
fof(f331,plain,
( spl0_25
<=> incident(a1,a2c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f8194,plain,
( ~ incident(a1,a2c2)
| ~ spl0_14
| ~ spl0_80 ),
inference(subsumption_resolution,[],[f7193,f274]) ).
fof(f7193,plain,
( incident(a1,b1c1)
| ~ incident(a1,a2c2)
| ~ spl0_80 ),
inference(resolution,[],[f967,f111]) ).
fof(f967,plain,
( ! [X0] :
( ~ incident(X0,a1b1)
| incident(X0,b1c1)
| ~ incident(X0,a2c2) )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f8189,plain,
( ~ spl0_18
| ~ spl0_165
| spl0_176 ),
inference(avatar_split_clause,[],[f8188,f1929,f1781,f270]) ).
fof(f270,plain,
( spl0_18
<=> incident(a1,oc) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1781,plain,
( spl0_165
<=> ! [X0] :
( ~ incident(X0,oa)
| incident(X0,ob)
| ~ incident(X0,oc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f1929,plain,
( spl0_176
<=> incident(a1,ob) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f8188,plain,
( ~ incident(a1,oc)
| ~ spl0_165
| spl0_176 ),
inference(subsumption_resolution,[],[f8166,f1930]) ).
fof(f1930,plain,
( ~ incident(a1,ob)
| spl0_176 ),
inference(avatar_component_clause,[],[f1929]) ).
fof(f8166,plain,
( incident(a1,ob)
| ~ incident(a1,oc)
| ~ spl0_165 ),
inference(resolution,[],[f1782,f95]) ).
fof(f95,plain,
incident(a1,oa),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
incident(a1,oa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia1oa) ).
fof(f1782,plain,
( ! [X0] :
( ~ incident(X0,oa)
| incident(X0,ob)
| ~ incident(X0,oc) )
| ~ spl0_165 ),
inference(avatar_component_clause,[],[f1781]) ).
fof(f8183,plain,
( ~ spl0_4
| spl0_206
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f7319,f1303,f2338,f149]) ).
fof(f149,plain,
( spl0_4
<=> incident(c2,a1b1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1303,plain,
( spl0_114
<=> ! [X0] :
( ~ incident(X0,a1b1)
| incident(X0,a1c1)
| ~ incident(X0,b2c2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f7319,plain,
( incident(c2,a1c1)
| ~ incident(c2,a1b1)
| ~ spl0_114 ),
inference(resolution,[],[f1304,f100]) ).
fof(f100,plain,
incident(c2,b2c2),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
incident(c2,b2c2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic2b2) ).
fof(f1304,plain,
( ! [X0] :
( ~ incident(X0,b2c2)
| incident(X0,a1c1)
| ~ incident(X0,a1b1) )
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f1303]) ).
fof(f8182,plain,
( ~ spl0_19
| spl0_135
| ~ spl0_169 ),
inference(avatar_contradiction_clause,[],[f8181]) ).
fof(f8181,plain,
( $false
| ~ spl0_19
| spl0_135
| ~ spl0_169 ),
inference(subsumption_resolution,[],[f8180,f98]) ).
fof(f98,plain,
incident(b2,ob),
inference(cnf_transformation,[],[f25]) ).
fof(f25,axiom,
incident(b2,ob),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib2ob) ).
fof(f8180,plain,
( ~ incident(b2,ob)
| ~ spl0_19
| spl0_135
| ~ spl0_169 ),
inference(subsumption_resolution,[],[f8171,f1492]) ).
fof(f1492,plain,
( ~ incident(b2,oa)
| spl0_135 ),
inference(avatar_component_clause,[],[f1491]) ).
fof(f8171,plain,
( incident(b2,oa)
| ~ incident(b2,ob)
| ~ spl0_19
| ~ spl0_169 ),
inference(resolution,[],[f1823,f281]) ).
fof(f281,plain,
( incident(b2,oc)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f280,plain,
( spl0_19
<=> incident(b2,oc) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f8145,plain,
( spl0_56
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f8027,f489,f760]) ).
fof(f489,plain,
( spl0_39
<=> line_equal(oa,a1b1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f8027,plain,
( incident(a2,a1b1)
| ~ spl0_39 ),
inference(resolution,[],[f7645,f96]) ).
fof(f7645,plain,
( ! [X0] :
( ~ incident(X0,oa)
| incident(X0,a1b1) )
| ~ spl0_39 ),
inference(resolution,[],[f491,f133]) ).
fof(f491,plain,
( line_equal(oa,a1b1)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f8138,plain,
( spl0_20
| ~ spl0_145
| ~ spl0_164 ),
inference(avatar_contradiction_clause,[],[f8137]) ).
fof(f8137,plain,
( $false
| spl0_20
| ~ spl0_145
| ~ spl0_164 ),
inference(subsumption_resolution,[],[f8136,f1559]) ).
fof(f1559,plain,
( incident(a2,ob)
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f1557]) ).
fof(f8136,plain,
( ~ incident(a2,ob)
| spl0_20
| ~ spl0_164 ),
inference(subsumption_resolution,[],[f8128,f286]) ).
fof(f286,plain,
( ~ incident(a2,oc)
| spl0_20 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f8128,plain,
( incident(a2,oc)
| ~ incident(a2,ob)
| ~ spl0_164 ),
inference(resolution,[],[f1742,f96]) ).
fof(f1742,plain,
( ! [X0] :
( ~ incident(X0,oa)
| incident(X0,oc)
| ~ incident(X0,ob) )
| ~ spl0_164 ),
inference(avatar_component_clause,[],[f1741]) ).
fof(f1741,plain,
( spl0_164
<=> ! [X0] :
( ~ incident(X0,oa)
| incident(X0,oc)
| ~ incident(X0,ob) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f8135,plain,
( spl0_17
| ~ spl0_110
| ~ spl0_164 ),
inference(avatar_contradiction_clause,[],[f8134]) ).
fof(f8134,plain,
( $false
| spl0_17
| ~ spl0_110
| ~ spl0_164 ),
inference(subsumption_resolution,[],[f8133,f97]) ).
fof(f8133,plain,
( ~ incident(b1,ob)
| spl0_17
| ~ spl0_110
| ~ spl0_164 ),
inference(subsumption_resolution,[],[f8127,f268]) ).
fof(f268,plain,
( ~ incident(b1,oc)
| spl0_17 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f266,plain,
( spl0_17
<=> incident(b1,oc) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f8127,plain,
( incident(b1,oc)
| ~ incident(b1,ob)
| ~ spl0_110
| ~ spl0_164 ),
inference(resolution,[],[f1742,f1269]) ).
fof(f7572,plain,
( spl0_12
| ~ spl0_56
| ~ spl0_101 ),
inference(avatar_contradiction_clause,[],[f7571]) ).
fof(f7571,plain,
( $false
| spl0_12
| ~ spl0_56
| ~ spl0_101 ),
inference(subsumption_resolution,[],[f7570,f89]) ).
fof(f89,plain,
incident(ab,a1b1),
inference(cnf_transformation,[],[f32]) ).
fof(f32,axiom,
incident(ab,a1b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iab1) ).
fof(f7570,plain,
( ~ incident(ab,a1b1)
| spl0_12
| ~ spl0_56
| ~ spl0_101 ),
inference(subsumption_resolution,[],[f7556,f189]) ).
fof(f189,plain,
( ~ line_equal(a1b1,a2b2)
| spl0_12 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f187,plain,
( spl0_12
<=> line_equal(a1b1,a2b2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f7556,plain,
( line_equal(a1b1,a2b2)
| ~ incident(ab,a1b1)
| ~ spl0_56
| ~ spl0_101 ),
inference(resolution,[],[f761,f1182]) ).
fof(f1182,plain,
( ! [X0] :
( ~ incident(a2,X0)
| line_equal(X0,a2b2)
| ~ incident(ab,X0) )
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f1181]) ).
fof(f7516,plain,
( ~ spl0_2
| spl0_56
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f7245,f982,f760,f140]) ).
fof(f7245,plain,
( incident(a2,a1b1)
| ~ incident(a2,b1c1)
| ~ spl0_84 ),
inference(resolution,[],[f983,f105]) ).
fof(f983,plain,
( ! [X0] :
( ~ incident(X0,a2c2)
| incident(X0,a1b1)
| ~ incident(X0,b1c1) )
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f7507,plain,
( spl0_149
| ~ spl0_19
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f7506,f1606,f280,f1591]) ).
fof(f1591,plain,
( spl0_149
<=> line_equal(oc,ob) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f1606,plain,
( spl0_151
<=> ! [X0] :
( ~ incident(b2,X0)
| line_equal(X0,ob)
| ~ incident(o,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f7506,plain,
( line_equal(oc,ob)
| ~ spl0_19
| ~ spl0_151 ),
inference(subsumption_resolution,[],[f7468,f85]) ).
fof(f85,plain,
incident(o,oc),
inference(cnf_transformation,[],[f21]) ).
fof(f21,axiom,
incident(o,oc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iooc) ).
fof(f7468,plain,
( line_equal(oc,ob)
| ~ incident(o,oc)
| ~ spl0_19
| ~ spl0_151 ),
inference(resolution,[],[f1607,f281]) ).
fof(f1607,plain,
( ! [X0] :
( ~ incident(b2,X0)
| line_equal(X0,ob)
| ~ incident(o,X0) )
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f1606]) ).
fof(f7486,plain,
( ~ spl0_17
| ~ spl0_14
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f7485,f1154,f199,f266]) ).
fof(f1154,plain,
( spl0_99
<=> ! [X0] :
( ~ incident(X0,oc)
| incident(X0,a1c1)
| ~ incident(X0,b1c1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f7485,plain,
( ~ incident(b1,oc)
| ~ spl0_14
| ~ spl0_99 ),
inference(subsumption_resolution,[],[f5059,f275]) ).
fof(f5059,plain,
( incident(b1,a1c1)
| ~ incident(b1,oc)
| ~ spl0_99 ),
inference(resolution,[],[f1155,f102]) ).
fof(f1155,plain,
( ! [X0] :
( ~ incident(X0,b1c1)
| incident(X0,a1c1)
| ~ incident(X0,oc) )
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f1154]) ).
fof(f7284,plain,
( spl0_17
| ~ spl0_170 ),
inference(avatar_contradiction_clause,[],[f7283]) ).
fof(f7283,plain,
( $false
| spl0_17
| ~ spl0_170 ),
inference(subsumption_resolution,[],[f7280,f268]) ).
fof(f7280,plain,
( incident(b1,oc)
| ~ spl0_170 ),
inference(resolution,[],[f6582,f97]) ).
fof(f6582,plain,
( ! [X0] :
( ~ incident(X0,ob)
| incident(X0,oc) )
| ~ spl0_170 ),
inference(resolution,[],[f1832,f133]) ).
fof(f1832,plain,
( line_equal(ob,oc)
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f1830]) ).
fof(f1830,plain,
( spl0_170
<=> line_equal(ob,oc) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f7263,plain,
( spl0_157
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f6165,f1697,f1679]) ).
fof(f6165,plain,
( line_equal(oc,a2c2)
| ~ spl0_159 ),
inference(resolution,[],[f1699,f127]) ).
fof(f1699,plain,
( line_equal(a2c2,oc)
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f1697]) ).
fof(f7262,plain,
( spl0_104
| ~ spl0_157 ),
inference(avatar_contradiction_clause,[],[f7261]) ).
fof(f7261,plain,
( $false
| spl0_104
| ~ spl0_157 ),
inference(subsumption_resolution,[],[f7252,f1207]) ).
fof(f1207,plain,
( ~ incident(o,a2c2)
| spl0_104 ),
inference(avatar_component_clause,[],[f1206]) ).
fof(f1206,plain,
( spl0_104
<=> incident(o,a2c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f7252,plain,
( incident(o,a2c2)
| ~ spl0_157 ),
inference(resolution,[],[f6159,f85]) ).
fof(f6159,plain,
( ! [X0] :
( ~ incident(X0,oc)
| incident(X0,a2c2) )
| ~ spl0_157 ),
inference(resolution,[],[f1681,f133]) ).
fof(f1681,plain,
( line_equal(oc,a2c2)
| ~ spl0_157 ),
inference(avatar_component_clause,[],[f1679]) ).
fof(f7258,plain,
( spl0_35
| ~ spl0_157 ),
inference(avatar_contradiction_clause,[],[f7257]) ).
fof(f7257,plain,
( $false
| spl0_35
| ~ spl0_157 ),
inference(subsumption_resolution,[],[f7249,f382]) ).
fof(f382,plain,
( ~ incident(c1,a2c2)
| spl0_35 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f380,plain,
( spl0_35
<=> incident(c1,a2c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f7249,plain,
( incident(c1,a2c2)
| ~ spl0_157 ),
inference(resolution,[],[f6159,f99]) ).
fof(f7254,plain,
( spl0_45
| ~ spl0_68
| ~ spl0_157 ),
inference(avatar_contradiction_clause,[],[f7253]) ).
fof(f7253,plain,
( $false
| spl0_45
| ~ spl0_68
| ~ spl0_157 ),
inference(subsumption_resolution,[],[f7247,f635]) ).
fof(f635,plain,
( ~ incident(bc,a2c2)
| spl0_45 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f7247,plain,
( incident(bc,a2c2)
| ~ spl0_68
| ~ spl0_157 ),
inference(resolution,[],[f6159,f889]) ).
fof(f7045,plain,
( ~ spl0_27
| ~ spl0_14
| ~ spl0_18
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f7036,f1075,f270,f199,f339]) ).
fof(f339,plain,
( spl0_27
<=> incident(a1,a2b2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f1075,plain,
( spl0_94
<=> ! [X0] :
( ~ incident(X0,oc)
| incident(X0,b1c1)
| ~ incident(X0,a2b2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f7036,plain,
( ~ incident(a1,a2b2)
| ~ spl0_14
| ~ spl0_18
| ~ spl0_94 ),
inference(subsumption_resolution,[],[f7014,f274]) ).
fof(f7014,plain,
( incident(a1,b1c1)
| ~ incident(a1,a2b2)
| ~ spl0_18
| ~ spl0_94 ),
inference(resolution,[],[f271,f1076]) ).
fof(f1076,plain,
( ! [X0] :
( ~ incident(X0,oc)
| incident(X0,b1c1)
| ~ incident(X0,a2b2) )
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f1075]) ).
fof(f271,plain,
( incident(a1,oc)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f6998,plain,
( spl0_18
| ~ spl0_27
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f6997,f927,f339,f270]) ).
fof(f927,plain,
( spl0_75
<=> ! [X0] :
( ~ incident(X0,a1c1)
| incident(X0,oc)
| ~ incident(X0,a2b2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f6997,plain,
( incident(a1,oc)
| ~ spl0_27
| ~ spl0_75 ),
inference(subsumption_resolution,[],[f6990,f340]) ).
fof(f340,plain,
( incident(a1,a2b2)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f6990,plain,
( incident(a1,oc)
| ~ incident(a1,a2b2)
| ~ spl0_75 ),
inference(resolution,[],[f928,f107]) ).
fof(f928,plain,
( ! [X0] :
( ~ incident(X0,a1c1)
| incident(X0,oc)
| ~ incident(X0,a2b2) )
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f927]) ).
fof(f6673,plain,
( spl0_11
| ~ spl0_138
| ~ spl0_186 ),
inference(avatar_contradiction_clause,[],[f6672]) ).
fof(f6672,plain,
( $false
| spl0_11
| ~ spl0_138
| ~ spl0_186 ),
inference(subsumption_resolution,[],[f6671,f92]) ).
fof(f92,plain,
incident(bc,b1c1),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
incident(bc,b1c1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ibc1) ).
fof(f6671,plain,
( ~ incident(bc,b1c1)
| spl0_11
| ~ spl0_138
| ~ spl0_186 ),
inference(subsumption_resolution,[],[f6651,f184]) ).
fof(f184,plain,
( ~ line_equal(b1c1,b2c2)
| spl0_11 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f182,plain,
( spl0_11
<=> line_equal(b1c1,b2c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f6651,plain,
( line_equal(b1c1,b2c2)
| ~ incident(bc,b1c1)
| ~ spl0_138
| ~ spl0_186 ),
inference(resolution,[],[f2026,f1508]) ).
fof(f1508,plain,
( ! [X0] :
( ~ incident(b2,X0)
| line_equal(X0,b2c2)
| ~ incident(bc,X0) )
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f1507]) ).
fof(f1507,plain,
( spl0_138
<=> ! [X0] :
( ~ incident(b2,X0)
| line_equal(X0,b2c2)
| ~ incident(bc,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f2026,plain,
( incident(b2,b1c1)
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f2024]) ).
fof(f2024,plain,
( spl0_186
<=> incident(b2,b1c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f6631,plain,
( ~ spl0_202
| ~ spl0_16
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f6630,f2019,f207,f2273]) ).
fof(f2273,plain,
( spl0_202
<=> incident(ac,b1c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f6630,plain,
( ~ incident(ac,b1c1)
| ~ spl0_16
| ~ spl0_185 ),
inference(subsumption_resolution,[],[f6615,f92]) ).
fof(f6615,plain,
( ~ incident(bc,b1c1)
| ~ incident(ac,b1c1)
| ~ spl0_16
| ~ spl0_185 ),
inference(resolution,[],[f2021,f290]) ).
fof(f2021,plain,
( incident(ab,b1c1)
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f2019]) ).
fof(f6376,plain,
( spl0_186
| ~ spl0_19
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f6375,f1075,f280,f2024]) ).
fof(f6375,plain,
( incident(b2,b1c1)
| ~ spl0_19
| ~ spl0_94 ),
inference(subsumption_resolution,[],[f6367,f108]) ).
fof(f108,plain,
incident(b2,a2b2),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
incident(b2,a2b2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib2a2) ).
fof(f6367,plain,
( incident(b2,b1c1)
| ~ incident(b2,a2b2)
| ~ spl0_19
| ~ spl0_94 ),
inference(resolution,[],[f281,f1076]) ).
fof(f6374,plain,
( spl0_72
| ~ spl0_19
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f6373,f1515,f280,f910]) ).
fof(f910,plain,
( spl0_72
<=> line_equal(oc,b2c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f1515,plain,
( spl0_140
<=> ! [X0] :
( ~ incident(b2,X0)
| line_equal(X0,b2c2)
| ~ incident(c2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f6373,plain,
( line_equal(oc,b2c2)
| ~ spl0_19
| ~ spl0_140 ),
inference(subsumption_resolution,[],[f6366,f94]) ).
fof(f6366,plain,
( line_equal(oc,b2c2)
| ~ incident(c2,oc)
| ~ spl0_19
| ~ spl0_140 ),
inference(resolution,[],[f281,f1516]) ).
fof(f1516,plain,
( ! [X0] :
( ~ incident(b2,X0)
| line_equal(X0,b2c2)
| ~ incident(c2,X0) )
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f1515]) ).
fof(f6212,plain,
( ~ spl0_108
| spl0_217
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f5899,f1606,f2472,f1235]) ).
fof(f1235,plain,
( spl0_108
<=> incident(o,a2b2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f2472,plain,
( spl0_217
<=> line_equal(a2b2,ob) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f5899,plain,
( line_equal(a2b2,ob)
| ~ incident(o,a2b2)
| ~ spl0_151 ),
inference(resolution,[],[f1607,f108]) ).
fof(f6210,plain,
( ~ spl0_31
| ~ spl0_111
| spl0_181 ),
inference(avatar_split_clause,[],[f6209,f1999,f1271,f360]) ).
fof(f360,plain,
( spl0_31
<=> incident(b1,a2b2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f1999,plain,
( spl0_181
<=> line_equal(a2b2,a2c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f6209,plain,
( ~ incident(b1,a2b2)
| ~ spl0_111
| spl0_181 ),
inference(subsumption_resolution,[],[f5665,f2000]) ).
fof(f2000,plain,
( ~ line_equal(a2b2,a2c2)
| spl0_181 ),
inference(avatar_component_clause,[],[f1999]) ).
fof(f5665,plain,
( line_equal(a2b2,a2c2)
| ~ incident(b1,a2b2)
| ~ spl0_111 ),
inference(resolution,[],[f1272,f109]) ).
fof(f6204,plain,
( ~ spl0_31
| ~ spl0_30
| spl0_303 ),
inference(avatar_split_clause,[],[f6203,f4094,f356,f360]) ).
fof(f356,plain,
( spl0_30
<=> ! [X0] :
( ~ incident(b1,X0)
| line_equal(b2c2,X0)
| ~ incident(b2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f4094,plain,
( spl0_303
<=> line_equal(b2c2,a2b2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).
fof(f6203,plain,
( ~ incident(b1,a2b2)
| ~ spl0_30
| spl0_303 ),
inference(subsumption_resolution,[],[f5717,f4095]) ).
fof(f4095,plain,
( ~ line_equal(b2c2,a2b2)
| spl0_303 ),
inference(avatar_component_clause,[],[f4094]) ).
fof(f5717,plain,
( line_equal(b2c2,a2b2)
| ~ incident(b1,a2b2)
| ~ spl0_30 ),
inference(resolution,[],[f357,f108]) ).
fof(f357,plain,
( ! [X0] :
( ~ incident(b2,X0)
| line_equal(b2c2,X0)
| ~ incident(b1,X0) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f6200,plain,
( spl0_13
| ~ spl0_347 ),
inference(avatar_contradiction_clause,[],[f6199]) ).
fof(f6199,plain,
( $false
| spl0_13
| ~ spl0_347 ),
inference(subsumption_resolution,[],[f6198,f194]) ).
fof(f194,plain,
( ~ line_equal(a1c1,a2c2)
| spl0_13 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f192,plain,
( spl0_13
<=> line_equal(a1c1,a2c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f6198,plain,
( line_equal(a1c1,a2c2)
| ~ spl0_347 ),
inference(resolution,[],[f5998,f127]) ).
fof(f5998,plain,
( line_equal(a2c2,a1c1)
| ~ spl0_347 ),
inference(avatar_component_clause,[],[f5996]) ).
fof(f6188,plain,
( spl0_347
| ~ spl0_25
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f5994,f476,f331,f5996]) ).
fof(f476,plain,
( spl0_38
<=> ! [X0] :
( ~ incident(a1,X0)
| line_equal(X0,a1c1)
| ~ incident(ac,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f5994,plain,
( line_equal(a2c2,a1c1)
| ~ spl0_25
| ~ spl0_38 ),
inference(subsumption_resolution,[],[f5977,f90]) ).
fof(f5977,plain,
( line_equal(a2c2,a1c1)
| ~ incident(ac,a2c2)
| ~ spl0_25
| ~ spl0_38 ),
inference(resolution,[],[f332,f477]) ).
fof(f477,plain,
( ! [X0] :
( ~ incident(a1,X0)
| line_equal(X0,a1c1)
| ~ incident(ac,X0) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f332,plain,
( incident(a1,a2c2)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f6136,plain,
( ~ spl0_37
| ~ spl0_16
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f6135,f1566,f207,f472]) ).
fof(f472,plain,
( spl0_37
<=> incident(ac,b2c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f1566,plain,
( spl0_146
<=> incident(ab,b2c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f6135,plain,
( ~ incident(ac,b2c2)
| ~ spl0_16
| ~ spl0_146 ),
inference(subsumption_resolution,[],[f5726,f93]) ).
fof(f93,plain,
incident(bc,b2c2),
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
incident(bc,b2c2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ibc2) ).
fof(f5726,plain,
( ~ incident(bc,b2c2)
| ~ incident(ac,b2c2)
| ~ spl0_16
| ~ spl0_146 ),
inference(resolution,[],[f1568,f290]) ).
fof(f1568,plain,
( incident(ab,b2c2)
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f1566]) ).
fof(f5929,plain,
( ~ spl0_104
| ~ spl0_105
| spl0_187 ),
inference(avatar_split_clause,[],[f5928,f2037,f1210,f1206]) ).
fof(f1210,plain,
( spl0_105
<=> ! [X0] :
( ~ incident(a2,X0)
| line_equal(X0,oa)
| ~ incident(o,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f2037,plain,
( spl0_187
<=> line_equal(a2c2,oa) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f5928,plain,
( ~ incident(o,a2c2)
| ~ spl0_105
| spl0_187 ),
inference(subsumption_resolution,[],[f5658,f2038]) ).
fof(f2038,plain,
( ~ line_equal(a2c2,oa)
| spl0_187 ),
inference(avatar_component_clause,[],[f2037]) ).
fof(f5658,plain,
( line_equal(a2c2,oa)
| ~ incident(o,a2c2)
| ~ spl0_105 ),
inference(resolution,[],[f1211,f105]) ).
fof(f1211,plain,
( ! [X0] :
( ~ incident(a2,X0)
| line_equal(X0,oa)
| ~ incident(o,X0) )
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f1210]) ).
fof(f5926,plain,
( ~ spl0_161
| spl0_221
| ~ spl0_254 ),
inference(avatar_contradiction_clause,[],[f5925]) ).
fof(f5925,plain,
( $false
| ~ spl0_161
| spl0_221
| ~ spl0_254 ),
inference(subsumption_resolution,[],[f5919,f2540]) ).
fof(f2540,plain,
( ~ line_equal(a1b1,oc)
| spl0_221 ),
inference(avatar_component_clause,[],[f2539]) ).
fof(f2539,plain,
( spl0_221
<=> line_equal(a1b1,oc) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
fof(f5919,plain,
( line_equal(a1b1,oc)
| ~ spl0_161
| ~ spl0_254 ),
inference(resolution,[],[f1722,f5787]) ).
fof(f5787,plain,
( ! [X0] :
( ~ line_equal(b2c2,X0)
| line_equal(a1b1,X0) )
| ~ spl0_254 ),
inference(resolution,[],[f3185,f132]) ).
fof(f3185,plain,
( line_equal(a1b1,b2c2)
| ~ spl0_254 ),
inference(avatar_component_clause,[],[f3183]) ).
fof(f3183,plain,
( spl0_254
<=> line_equal(a1b1,b2c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).
fof(f1722,plain,
( line_equal(b2c2,oc)
| ~ spl0_161 ),
inference(avatar_component_clause,[],[f1720]) ).
fof(f1720,plain,
( spl0_161
<=> line_equal(b2c2,oc) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f5913,plain,
( spl0_104
| ~ spl0_150
| ~ spl0_160 ),
inference(avatar_contradiction_clause,[],[f5912]) ).
fof(f5912,plain,
( $false
| spl0_104
| ~ spl0_150
| ~ spl0_160 ),
inference(subsumption_resolution,[],[f5911,f1604]) ).
fof(f1604,plain,
( incident(o,b2c2)
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f1602]) ).
fof(f1602,plain,
( spl0_150
<=> incident(o,b2c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f5911,plain,
( ~ incident(o,b2c2)
| spl0_104
| ~ spl0_160 ),
inference(subsumption_resolution,[],[f5910,f1207]) ).
fof(f5910,plain,
( incident(o,a2c2)
| ~ incident(o,b2c2)
| ~ spl0_160 ),
inference(resolution,[],[f1710,f85]) ).
fof(f1710,plain,
( ! [X0] :
( ~ incident(X0,oc)
| incident(X0,a2c2)
| ~ incident(X0,b2c2) )
| ~ spl0_160 ),
inference(avatar_component_clause,[],[f1709]) ).
fof(f1709,plain,
( spl0_160
<=> ! [X0] :
( ~ incident(X0,b2c2)
| incident(X0,a2c2)
| ~ incident(X0,oc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f5715,plain,
( spl0_254
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f5714,f1299,f3183]) ).
fof(f1299,plain,
( spl0_113
<=> line_equal(b2c2,a1b1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f5714,plain,
( line_equal(a1b1,b2c2)
| ~ spl0_113 ),
inference(resolution,[],[f1301,f127]) ).
fof(f1301,plain,
( line_equal(b2c2,a1b1)
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f1299]) ).
fof(f5676,plain,
( spl0_6
| ~ spl0_55
| ~ spl0_114 ),
inference(avatar_contradiction_clause,[],[f5675]) ).
fof(f5675,plain,
( $false
| spl0_6
| ~ spl0_55
| ~ spl0_114 ),
inference(subsumption_resolution,[],[f5674,f757]) ).
fof(f757,plain,
( incident(b2,a1b1)
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f5674,plain,
( ~ incident(b2,a1b1)
| spl0_6
| ~ spl0_114 ),
inference(subsumption_resolution,[],[f5669,f159]) ).
fof(f159,plain,
( ~ incident(b2,a1c1)
| spl0_6 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f5669,plain,
( incident(b2,a1c1)
| ~ incident(b2,a1b1)
| ~ spl0_114 ),
inference(resolution,[],[f1304,f101]) ).
fof(f101,plain,
incident(b2,b2c2),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
incident(b2,b2c2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib2c2) ).
fof(f5500,plain,
( spl0_150
| ~ spl0_254
| ~ spl0_274 ),
inference(avatar_split_clause,[],[f5488,f3523,f3183,f1602]) ).
fof(f3523,plain,
( spl0_274
<=> incident(o,a1b1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).
fof(f5488,plain,
( incident(o,b2c2)
| ~ spl0_254
| ~ spl0_274 ),
inference(resolution,[],[f5379,f3525]) ).
fof(f3525,plain,
( incident(o,a1b1)
| ~ spl0_274 ),
inference(avatar_component_clause,[],[f3523]) ).
fof(f5379,plain,
( ! [X0] :
( ~ incident(X0,a1b1)
| incident(X0,b2c2) )
| ~ spl0_254 ),
inference(resolution,[],[f3185,f133]) ).
fof(f5494,plain,
( spl0_29
| ~ spl0_254 ),
inference(avatar_split_clause,[],[f5485,f3183,f352]) ).
fof(f352,plain,
( spl0_29
<=> incident(b1,b2c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f5485,plain,
( incident(b1,b2c2)
| ~ spl0_254 ),
inference(resolution,[],[f5379,f110]) ).
fof(f5489,plain,
( spl0_146
| ~ spl0_254 ),
inference(avatar_split_clause,[],[f5483,f3183,f1566]) ).
fof(f5483,plain,
( incident(ab,b2c2)
| ~ spl0_254 ),
inference(resolution,[],[f5379,f89]) ).
fof(f5226,plain,
( spl0_113
| spl0_114
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f5214,f154,f1303,f1299]) ).
fof(f154,plain,
( spl0_5
<=> incident(a1,b2c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f5214,plain,
( ! [X0] :
( ~ incident(X0,a1b1)
| ~ incident(X0,b2c2)
| line_equal(b2c2,a1b1)
| incident(X0,a1c1) )
| ~ spl0_5 ),
inference(resolution,[],[f156,f465]) ).
fof(f465,plain,
! [X0,X1] :
( ~ incident(a1,X0)
| ~ incident(X1,a1b1)
| ~ incident(X1,X0)
| line_equal(X0,a1b1)
| incident(X1,a1c1) ),
inference(resolution,[],[f394,f111]) ).
fof(f394,plain,
! [X2,X0,X1] :
( ~ incident(a1,X0)
| ~ incident(a1,X1)
| ~ incident(X2,X0)
| ~ incident(X2,X1)
| line_equal(X1,X0)
| incident(X2,a1c1) ),
inference(resolution,[],[f314,f107]) ).
fof(f156,plain,
( incident(a1,b2c2)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f5208,plain,
( ~ spl0_41
| ~ spl0_42
| ~ spl0_16
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f5016,f1486,f207,f554,f550]) ).
fof(f550,plain,
( spl0_41
<=> incident(ac,oa) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f1486,plain,
( spl0_134
<=> incident(ab,oa) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f5016,plain,
( ~ incident(bc,oa)
| ~ incident(ac,oa)
| ~ spl0_16
| ~ spl0_134 ),
inference(resolution,[],[f1488,f290]) ).
fof(f1488,plain,
( incident(ab,oa)
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f1486]) ).
fof(f5198,plain,
( spl0_20
| ~ spl0_93 ),
inference(avatar_contradiction_clause,[],[f5197]) ).
fof(f5197,plain,
( $false
| spl0_20
| ~ spl0_93 ),
inference(subsumption_resolution,[],[f5194,f286]) ).
fof(f5194,plain,
( incident(a2,oc)
| ~ spl0_93 ),
inference(resolution,[],[f4821,f109]) ).
fof(f4821,plain,
( ! [X0] :
( ~ incident(X0,a2b2)
| incident(X0,oc) )
| ~ spl0_93 ),
inference(resolution,[],[f1073,f133]) ).
fof(f1073,plain,
( line_equal(a2b2,oc)
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f1071]) ).
fof(f1071,plain,
( spl0_93
<=> line_equal(a2b2,oc) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f5158,plain,
( spl0_138
| ~ spl0_19
| spl0_68 ),
inference(avatar_split_clause,[],[f5157,f887,f280,f1507]) ).
fof(f5157,plain,
( ! [X0] :
( ~ incident(b2,X0)
| ~ incident(bc,X0)
| line_equal(X0,b2c2) )
| ~ spl0_19
| spl0_68 ),
inference(subsumption_resolution,[],[f5153,f888]) ).
fof(f888,plain,
( ~ incident(bc,oc)
| spl0_68 ),
inference(avatar_component_clause,[],[f887]) ).
fof(f5153,plain,
( ! [X0] :
( ~ incident(b2,X0)
| ~ incident(bc,X0)
| line_equal(X0,b2c2)
| incident(bc,oc) )
| ~ spl0_19 ),
inference(resolution,[],[f5102,f93]) ).
fof(f5102,plain,
( ! [X0,X1] :
( ~ incident(X1,b2c2)
| ~ incident(b2,X0)
| ~ incident(X1,X0)
| line_equal(X0,b2c2)
| incident(X1,oc) )
| ~ spl0_19 ),
inference(resolution,[],[f5098,f101]) ).
fof(f5098,plain,
( ! [X2,X0,X1] :
( ~ incident(b2,X0)
| ~ incident(b2,X1)
| ~ incident(X2,X0)
| ~ incident(X2,X1)
| line_equal(X1,X0)
| incident(X2,oc) )
| ~ spl0_19 ),
inference(resolution,[],[f281,f314]) ).
fof(f5146,plain,
( spl0_95
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f4742,f1138,f1079]) ).
fof(f1079,plain,
( spl0_95
<=> line_equal(a1c1,oc) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f1138,plain,
( spl0_97
<=> line_equal(oc,a1c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f4742,plain,
( line_equal(a1c1,oc)
| ~ spl0_97 ),
inference(resolution,[],[f1140,f127]) ).
fof(f1140,plain,
( line_equal(oc,a1c1)
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f1138]) ).
fof(f5145,plain,
( spl0_18
| ~ spl0_95 ),
inference(avatar_contradiction_clause,[],[f5144]) ).
fof(f5144,plain,
( $false
| spl0_18
| ~ spl0_95 ),
inference(subsumption_resolution,[],[f5137,f272]) ).
fof(f272,plain,
( ~ incident(a1,oc)
| spl0_18 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f5137,plain,
( incident(a1,oc)
| ~ spl0_95 ),
inference(resolution,[],[f4732,f107]) ).
fof(f4732,plain,
( ! [X0] :
( ~ incident(X0,a1c1)
| incident(X0,oc) )
| ~ spl0_95 ),
inference(resolution,[],[f1081,f133]) ).
fof(f1081,plain,
( line_equal(a1c1,oc)
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f5075,plain,
( ~ spl0_58
| ~ spl0_238
| spl0_243 ),
inference(avatar_contradiction_clause,[],[f5074]) ).
fof(f5074,plain,
( $false
| ~ spl0_58
| ~ spl0_238
| spl0_243 ),
inference(subsumption_resolution,[],[f5070,f2907]) ).
fof(f2907,plain,
( ~ line_equal(oa,a2b2)
| spl0_243 ),
inference(avatar_component_clause,[],[f2906]) ).
fof(f5070,plain,
( line_equal(oa,a2b2)
| ~ spl0_58
| ~ spl0_238 ),
inference(resolution,[],[f4552,f2861]) ).
fof(f2861,plain,
( line_equal(a1c1,a2b2)
| ~ spl0_238 ),
inference(avatar_component_clause,[],[f2859]) ).
fof(f2859,plain,
( spl0_238
<=> line_equal(a1c1,a2b2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f4552,plain,
( ! [X0] :
( ~ line_equal(a1c1,X0)
| line_equal(oa,X0) )
| ~ spl0_58 ),
inference(resolution,[],[f771,f132]) ).
fof(f771,plain,
( line_equal(oa,a1c1)
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f769,plain,
( spl0_58
<=> line_equal(oa,a1c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f5061,plain,
( spl0_136
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f1184,f203,f1495]) ).
fof(f203,plain,
( spl0_15
<=> ! [X0] :
( ~ incident(c2,X0)
| ~ incident(a2,X0)
| ~ incident(b2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1184,plain,
( ! [X0] :
( ~ incident(a2,X0)
| ~ incident(b2,X0)
| line_equal(X0,a2b2) )
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f1174,f289]) ).
fof(f289,plain,
( ~ incident(b2,a2c2)
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f278,f105]) ).
fof(f278,plain,
( ~ incident(a2,a2c2)
| ~ incident(b2,a2c2)
| ~ spl0_15 ),
inference(resolution,[],[f204,f104]) ).
fof(f204,plain,
( ! [X0] :
( ~ incident(c2,X0)
| ~ incident(a2,X0)
| ~ incident(b2,X0) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f1174,plain,
! [X0] :
( ~ incident(a2,X0)
| ~ incident(b2,X0)
| line_equal(X0,a2b2)
| incident(b2,a2c2) ),
inference(resolution,[],[f589,f108]) ).
fof(f589,plain,
! [X0,X1] :
( ~ incident(X1,a2b2)
| ~ incident(a2,X0)
| ~ incident(X1,X0)
| line_equal(X0,a2b2)
| incident(X1,a2c2) ),
inference(resolution,[],[f404,f109]) ).
fof(f404,plain,
! [X2,X0,X1] :
( ~ incident(a2,X0)
| ~ incident(a2,X1)
| ~ incident(X2,X0)
| ~ incident(X2,X1)
| line_equal(X1,X0)
| incident(X2,a2c2) ),
inference(resolution,[],[f314,f105]) ).
fof(f4799,plain,
( spl0_93
| spl0_94
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f2600,f136,f1075,f1071]) ).
fof(f136,plain,
( spl0_1
<=> incident(c1,a2b2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f2600,plain,
( ! [X0] :
( ~ incident(X0,oc)
| ~ incident(X0,a2b2)
| line_equal(a2b2,oc)
| incident(X0,b1c1) )
| ~ spl0_1 ),
inference(resolution,[],[f138,f568]) ).
fof(f568,plain,
! [X0,X1] :
( ~ incident(c1,X0)
| ~ incident(X1,oc)
| ~ incident(X1,X0)
| line_equal(X0,oc)
| incident(X1,b1c1) ),
inference(resolution,[],[f402,f99]) ).
fof(f402,plain,
! [X2,X0,X1] :
( ~ incident(c1,X0)
| ~ incident(c1,X1)
| ~ incident(X2,X0)
| ~ incident(X2,X1)
| line_equal(X1,X0)
| incident(X2,b1c1) ),
inference(resolution,[],[f314,f103]) ).
fof(f138,plain,
( incident(c1,a2b2)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f4546,plain,
( spl0_74
| spl0_75
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f2599,f136,f927,f923]) ).
fof(f923,plain,
( spl0_74
<=> line_equal(a2b2,a1c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f2599,plain,
( ! [X0] :
( ~ incident(X0,a1c1)
| ~ incident(X0,a2b2)
| line_equal(a2b2,a1c1)
| incident(X0,oc) )
| ~ spl0_1 ),
inference(resolution,[],[f138,f560]) ).
fof(f560,plain,
! [X0,X1] :
( ~ incident(c1,X0)
| ~ incident(X1,a1c1)
| ~ incident(X1,X0)
| line_equal(X0,a1c1)
| incident(X1,oc) ),
inference(resolution,[],[f401,f106]) ).
fof(f401,plain,
! [X2,X0,X1] :
( ~ incident(c1,X0)
| ~ incident(c1,X1)
| ~ incident(X2,X0)
| ~ incident(X2,X1)
| line_equal(X1,X0)
| incident(X2,oc) ),
inference(resolution,[],[f314,f99]) ).
fof(f4522,plain,
( spl0_65
| ~ spl0_186
| spl0_10
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f3928,f756,f177,f2024,f862]) ).
fof(f177,plain,
( spl0_10
<=> point_equal(b2,b1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f3928,plain,
( ~ incident(b2,b1c1)
| line_equal(a1b1,b1c1)
| spl0_10
| ~ spl0_55 ),
inference(resolution,[],[f3924,f102]) ).
fof(f3924,plain,
( ! [X0] :
( ~ incident(b1,X0)
| ~ incident(b2,X0)
| line_equal(a1b1,X0) )
| spl0_10
| ~ spl0_55 ),
inference(subsumption_resolution,[],[f3914,f110]) ).
fof(f3914,plain,
( ! [X0] :
( ~ incident(b1,X0)
| ~ incident(b1,a1b1)
| ~ incident(b2,X0)
| line_equal(a1b1,X0) )
| spl0_10
| ~ spl0_55 ),
inference(resolution,[],[f757,f318]) ).
fof(f318,plain,
( ! [X0,X1] :
( ~ incident(b2,X0)
| ~ incident(b1,X1)
| ~ incident(b1,X0)
| ~ incident(b2,X1)
| line_equal(X0,X1) )
| spl0_10 ),
inference(resolution,[],[f134,f179]) ).
fof(f179,plain,
( ~ point_equal(b2,b1)
| spl0_10 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f4410,plain,
( spl0_106
| ~ spl0_303 ),
inference(avatar_contradiction_clause,[],[f4409]) ).
fof(f4409,plain,
( $false
| spl0_106
| ~ spl0_303 ),
inference(subsumption_resolution,[],[f4408,f1222]) ).
fof(f1222,plain,
( ~ incident(c2,a2b2)
| spl0_106 ),
inference(avatar_component_clause,[],[f1221]) ).
fof(f1221,plain,
( spl0_106
<=> incident(c2,a2b2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f4408,plain,
( incident(c2,a2b2)
| ~ spl0_303 ),
inference(resolution,[],[f4153,f100]) ).
fof(f4153,plain,
( ! [X0] :
( ~ incident(X0,b2c2)
| incident(X0,a2b2) )
| ~ spl0_303 ),
inference(resolution,[],[f4096,f133]) ).
fof(f4096,plain,
( line_equal(b2c2,a2b2)
| ~ spl0_303 ),
inference(avatar_component_clause,[],[f4094]) ).
fof(f4356,plain,
( spl0_19
| ~ spl0_6
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f4355,f927,f158,f280]) ).
fof(f4355,plain,
( incident(b2,oc)
| ~ spl0_6
| ~ spl0_75 ),
inference(subsumption_resolution,[],[f4350,f108]) ).
fof(f4350,plain,
( incident(b2,oc)
| ~ incident(b2,a2b2)
| ~ spl0_6
| ~ spl0_75 ),
inference(resolution,[],[f928,f160]) ).
fof(f4318,plain,
( spl0_41
| ~ spl0_178 ),
inference(avatar_contradiction_clause,[],[f4317]) ).
fof(f4317,plain,
( $false
| spl0_41
| ~ spl0_178 ),
inference(subsumption_resolution,[],[f4309,f552]) ).
fof(f552,plain,
( ~ incident(ac,oa)
| spl0_41 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f4309,plain,
( incident(ac,oa)
| ~ spl0_178 ),
inference(resolution,[],[f4103,f91]) ).
fof(f91,plain,
incident(ac,a1c1),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
incident(ac,a1c1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iac1) ).
fof(f4103,plain,
( ! [X0] :
( ~ incident(X0,a1c1)
| incident(X0,oa) )
| ~ spl0_178 ),
inference(resolution,[],[f1941,f133]) ).
fof(f1941,plain,
( line_equal(a1c1,oa)
| ~ spl0_178 ),
inference(avatar_component_clause,[],[f1939]) ).
fof(f1939,plain,
( spl0_178
<=> line_equal(a1c1,oa) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f4278,plain,
( ~ spl0_70
| spl0_98 ),
inference(avatar_contradiction_clause,[],[f4277]) ).
fof(f4277,plain,
( $false
| ~ spl0_70
| spl0_98 ),
inference(subsumption_resolution,[],[f4276,f1151]) ).
fof(f1151,plain,
( ~ line_equal(b1c1,oc)
| spl0_98 ),
inference(avatar_component_clause,[],[f1150]) ).
fof(f4276,plain,
( line_equal(b1c1,oc)
| ~ spl0_70 ),
inference(resolution,[],[f904,f127]) ).
fof(f904,plain,
( line_equal(oc,b1c1)
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f4185,plain,
( ~ spl0_207
| spl0_134
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f4179,f765,f1486,f2348]) ).
fof(f2348,plain,
( spl0_207
<=> incident(ab,a1c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f765,plain,
( spl0_57
<=> ! [X0] :
( ~ incident(X0,a1c1)
| incident(X0,oa)
| ~ incident(X0,a1b1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f4179,plain,
( incident(ab,oa)
| ~ incident(ab,a1c1)
| ~ spl0_57 ),
inference(resolution,[],[f766,f89]) ).
fof(f766,plain,
( ! [X0] :
( ~ incident(X0,a1b1)
| incident(X0,oa)
| ~ incident(X0,a1c1) )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f4084,plain,
( spl0_274
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f4081,f713,f3523]) ).
fof(f713,plain,
( spl0_53
<=> line_equal(ob,a1b1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f4081,plain,
( incident(o,a1b1)
| ~ spl0_53 ),
inference(resolution,[],[f3934,f86]) ).
fof(f86,plain,
incident(o,ob),
inference(cnf_transformation,[],[f20]) ).
fof(f20,axiom,
incident(o,ob),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ioob) ).
fof(f3934,plain,
( ! [X0] :
( ~ incident(X0,ob)
| incident(X0,a1b1) )
| ~ spl0_53 ),
inference(resolution,[],[f715,f133]) ).
fof(f715,plain,
( line_equal(ob,a1b1)
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f3926,plain,
( spl0_53
| spl0_10
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f3925,f756,f177,f713]) ).
fof(f3925,plain,
( line_equal(ob,a1b1)
| spl0_10
| ~ spl0_55 ),
inference(subsumption_resolution,[],[f3915,f110]) ).
fof(f3915,plain,
( ~ incident(b1,a1b1)
| line_equal(ob,a1b1)
| spl0_10
| ~ spl0_55 ),
inference(resolution,[],[f757,f350]) ).
fof(f350,plain,
( ! [X0] :
( ~ incident(b2,X0)
| ~ incident(b1,X0)
| line_equal(ob,X0) )
| spl0_10 ),
inference(subsumption_resolution,[],[f347,f97]) ).
fof(f347,plain,
( ! [X0] :
( ~ incident(b1,X0)
| ~ incident(b1,ob)
| ~ incident(b2,X0)
| line_equal(ob,X0) )
| spl0_10 ),
inference(resolution,[],[f318,f98]) ).
fof(f3913,plain,
( ~ spl0_14
| ~ spl0_54
| ~ spl0_176 ),
inference(avatar_contradiction_clause,[],[f3912]) ).
fof(f3912,plain,
( $false
| ~ spl0_14
| ~ spl0_54
| ~ spl0_176 ),
inference(subsumption_resolution,[],[f3911,f111]) ).
fof(f3911,plain,
( ~ incident(a1,a1b1)
| ~ spl0_14
| ~ spl0_54
| ~ spl0_176 ),
inference(subsumption_resolution,[],[f3907,f274]) ).
fof(f3907,plain,
( incident(a1,b1c1)
| ~ incident(a1,a1b1)
| ~ spl0_54
| ~ spl0_176 ),
inference(resolution,[],[f718,f1931]) ).
fof(f1931,plain,
( incident(a1,ob)
| ~ spl0_176 ),
inference(avatar_component_clause,[],[f1929]) ).
fof(f718,plain,
( ! [X0] :
( ~ incident(X0,ob)
| incident(X0,b1c1)
| ~ incident(X0,a1b1) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f717,plain,
( spl0_54
<=> ! [X0] :
( ~ incident(X0,a1b1)
| incident(X0,b1c1)
| ~ incident(X0,ob) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f3822,plain,
( spl0_31
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f3817,f1383,f360]) ).
fof(f3817,plain,
( incident(b1,a2b2)
| ~ spl0_124 ),
inference(resolution,[],[f3790,f97]) ).
fof(f3790,plain,
( ! [X0] :
( ~ incident(X0,ob)
| incident(X0,a2b2) )
| ~ spl0_124 ),
inference(resolution,[],[f1385,f133]) ).
fof(f3656,plain,
( spl0_108
| ~ spl0_243 ),
inference(avatar_split_clause,[],[f3643,f2906,f1235]) ).
fof(f3643,plain,
( incident(o,a2b2)
| ~ spl0_243 ),
inference(resolution,[],[f2961,f87]) ).
fof(f87,plain,
incident(o,oa),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
incident(o,oa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iooa) ).
fof(f2961,plain,
( ! [X0] :
( ~ incident(X0,oa)
| incident(X0,a2b2) )
| ~ spl0_243 ),
inference(resolution,[],[f2908,f133]) ).
fof(f3648,plain,
( spl0_27
| ~ spl0_243 ),
inference(avatar_split_clause,[],[f3640,f2906,f339]) ).
fof(f3640,plain,
( incident(a1,a2b2)
| ~ spl0_243 ),
inference(resolution,[],[f2961,f95]) ).
fof(f3566,plain,
( spl0_48
| ~ spl0_61 ),
inference(avatar_contradiction_clause,[],[f3565]) ).
fof(f3565,plain,
( $false
| spl0_48
| ~ spl0_61 ),
inference(subsumption_resolution,[],[f3561,f661]) ).
fof(f661,plain,
( ~ incident(c1,a1b1)
| spl0_48 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f659,plain,
( spl0_48
<=> incident(c1,a1b1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f3561,plain,
( incident(c1,a1b1)
| ~ spl0_61 ),
inference(resolution,[],[f2825,f106]) ).
fof(f2825,plain,
( ! [X0] :
( ~ incident(X0,a1c1)
| incident(X0,a1b1) )
| ~ spl0_61 ),
inference(resolution,[],[f817,f133]) ).
fof(f817,plain,
( line_equal(a1c1,a1b1)
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f815]) ).
fof(f815,plain,
( spl0_61
<=> line_equal(a1c1,a1b1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f3542,plain,
( spl0_183
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f2143,f2037,f2007]) ).
fof(f2007,plain,
( spl0_183
<=> line_equal(oa,a2c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f2143,plain,
( line_equal(oa,a2c2)
| ~ spl0_187 ),
inference(resolution,[],[f2039,f127]) ).
fof(f2039,plain,
( line_equal(a2c2,oa)
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f2037]) ).
fof(f3533,plain,
( spl0_25
| ~ spl0_183 ),
inference(avatar_contradiction_clause,[],[f3532]) ).
fof(f3532,plain,
( $false
| spl0_25
| ~ spl0_183 ),
inference(subsumption_resolution,[],[f3528,f333]) ).
fof(f333,plain,
( ~ incident(a1,a2c2)
| spl0_25 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f3528,plain,
( incident(a1,a2c2)
| ~ spl0_183 ),
inference(resolution,[],[f2129,f95]) ).
fof(f2129,plain,
( ! [X0] :
( ~ incident(X0,oa)
| incident(X0,a2c2) )
| ~ spl0_183 ),
inference(resolution,[],[f2009,f133]) ).
fof(f2009,plain,
( line_equal(oa,a2c2)
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f2007]) ).
fof(f3497,plain,
( ~ spl0_15
| ~ spl0_181 ),
inference(avatar_contradiction_clause,[],[f3496]) ).
fof(f3496,plain,
( $false
| ~ spl0_15
| ~ spl0_181 ),
inference(subsumption_resolution,[],[f3491,f289]) ).
fof(f3491,plain,
( incident(b2,a2c2)
| ~ spl0_181 ),
inference(resolution,[],[f2116,f108]) ).
fof(f2116,plain,
( ! [X0] :
( ~ incident(X0,a2b2)
| incident(X0,a2c2) )
| ~ spl0_181 ),
inference(resolution,[],[f2001,f133]) ).
fof(f2001,plain,
( line_equal(a2b2,a2c2)
| ~ spl0_181 ),
inference(avatar_component_clause,[],[f1999]) ).
fof(f3470,plain,
( spl0_12
| ~ spl0_268 ),
inference(avatar_contradiction_clause,[],[f3469]) ).
fof(f3469,plain,
( $false
| spl0_12
| ~ spl0_268 ),
inference(subsumption_resolution,[],[f3468,f189]) ).
fof(f3468,plain,
( line_equal(a1b1,a2b2)
| ~ spl0_268 ),
inference(resolution,[],[f3423,f127]) ).
fof(f3423,plain,
( line_equal(a2b2,a1b1)
| ~ spl0_268 ),
inference(avatar_component_clause,[],[f3421]) ).
fof(f3281,plain,
( spl0_97
| spl0_9
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f3280,f2338,f172,f1138]) ).
fof(f3280,plain,
( line_equal(oc,a1c1)
| spl0_9
| ~ spl0_206 ),
inference(subsumption_resolution,[],[f3256,f106]) ).
fof(f3256,plain,
( ~ incident(c1,a1c1)
| line_equal(oc,a1c1)
| spl0_9
| ~ spl0_206 ),
inference(resolution,[],[f2340,f370]) ).
fof(f3173,plain,
( spl0_55
| ~ spl0_113 ),
inference(avatar_contradiction_clause,[],[f3172]) ).
fof(f3172,plain,
( $false
| spl0_55
| ~ spl0_113 ),
inference(subsumption_resolution,[],[f3168,f758]) ).
fof(f3168,plain,
( incident(b2,a1b1)
| ~ spl0_113 ),
inference(resolution,[],[f2028,f101]) ).
fof(f2028,plain,
( ! [X0] :
( ~ incident(X0,b2c2)
| incident(X0,a1b1) )
| ~ spl0_113 ),
inference(resolution,[],[f1301,f133]) ).
fof(f3036,plain,
( spl0_135
| ~ spl0_163 ),
inference(avatar_contradiction_clause,[],[f3035]) ).
fof(f3035,plain,
( $false
| spl0_135
| ~ spl0_163 ),
inference(subsumption_resolution,[],[f3029,f1492]) ).
fof(f3029,plain,
( incident(b2,oa)
| ~ spl0_163 ),
inference(resolution,[],[f1747,f98]) ).
fof(f1747,plain,
( ! [X0] :
( ~ incident(X0,ob)
| incident(X0,oa) )
| ~ spl0_163 ),
inference(resolution,[],[f1739,f133]) ).
fof(f1739,plain,
( line_equal(ob,oa)
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f1737]) ).
fof(f3034,plain,
( spl0_110
| ~ spl0_163 ),
inference(avatar_contradiction_clause,[],[f3033]) ).
fof(f3033,plain,
( $false
| spl0_110
| ~ spl0_163 ),
inference(subsumption_resolution,[],[f3028,f1268]) ).
fof(f1268,plain,
( ~ incident(b1,oa)
| spl0_110 ),
inference(avatar_component_clause,[],[f1267]) ).
fof(f3028,plain,
( incident(b1,oa)
| ~ spl0_163 ),
inference(resolution,[],[f1747,f97]) ).
fof(f2988,plain,
( spl0_11
| ~ spl0_72
| ~ spl0_98 ),
inference(avatar_contradiction_clause,[],[f2987]) ).
fof(f2987,plain,
( $false
| spl0_11
| ~ spl0_72
| ~ spl0_98 ),
inference(subsumption_resolution,[],[f2984,f184]) ).
fof(f2984,plain,
( line_equal(b1c1,b2c2)
| ~ spl0_72
| ~ spl0_98 ),
inference(resolution,[],[f1158,f912]) ).
fof(f912,plain,
( line_equal(oc,b2c2)
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f910]) ).
fof(f1158,plain,
( ! [X0] :
( ~ line_equal(oc,X0)
| line_equal(b1c1,X0) )
| ~ spl0_98 ),
inference(resolution,[],[f1152,f132]) ).
fof(f2904,plain,
( spl0_68
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f2888,f1150,f887]) ).
fof(f2888,plain,
( incident(bc,oc)
| ~ spl0_98 ),
inference(resolution,[],[f1157,f92]) ).
fof(f1157,plain,
( ! [X0] :
( ~ incident(X0,b1c1)
| incident(X0,oc) )
| ~ spl0_98 ),
inference(resolution,[],[f1152,f133]) ).
fof(f2862,plain,
( spl0_238
| spl0_75
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f2855,f136,f927,f2859]) ).
fof(f2855,plain,
( ! [X0] :
( ~ incident(X0,a2b2)
| ~ incident(X0,a1c1)
| line_equal(a1c1,a2b2)
| incident(X0,oc) )
| ~ spl0_1 ),
inference(resolution,[],[f2596,f106]) ).
fof(f2596,plain,
( ! [X0,X1] :
( ~ incident(c1,X0)
| ~ incident(X1,a2b2)
| ~ incident(X1,X0)
| line_equal(X0,a2b2)
| incident(X1,oc) )
| ~ spl0_1 ),
inference(resolution,[],[f138,f401]) ).
fof(f2850,plain,
( spl0_202
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f2847,f978,f2273]) ).
fof(f2847,plain,
( incident(ac,b1c1)
| ~ spl0_83 ),
inference(resolution,[],[f1123,f90]) ).
fof(f1123,plain,
( ! [X0] :
( ~ incident(X0,a2c2)
| incident(X0,b1c1) )
| ~ spl0_83 ),
inference(resolution,[],[f980,f133]) ).
fof(f2773,plain,
( ~ spl0_14
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2772]) ).
fof(f2772,plain,
( $false
| ~ spl0_14
| ~ spl0_48 ),
inference(subsumption_resolution,[],[f2771,f110]) ).
fof(f2771,plain,
( ~ incident(b1,a1b1)
| ~ spl0_14
| ~ spl0_48 ),
inference(subsumption_resolution,[],[f2759,f111]) ).
fof(f2759,plain,
( ~ incident(a1,a1b1)
| ~ incident(b1,a1b1)
| ~ spl0_14
| ~ spl0_48 ),
inference(resolution,[],[f660,f200]) ).
fof(f660,plain,
( incident(c1,a1b1)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f2733,plain,
( spl0_48
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f2724,f655,f659]) ).
fof(f655,plain,
( spl0_47
<=> line_equal(oc,a1b1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f2724,plain,
( incident(c1,a1b1)
| ~ spl0_47 ),
inference(resolution,[],[f2672,f99]) ).
fof(f2672,plain,
( ! [X0] :
( ~ incident(X0,oc)
| incident(X0,a1b1) )
| ~ spl0_47 ),
inference(resolution,[],[f657,f133]) ).
fof(f657,plain,
( line_equal(oc,a1b1)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f2714,plain,
( spl0_79
| ~ spl0_226 ),
inference(avatar_contradiction_clause,[],[f2713]) ).
fof(f2713,plain,
( $false
| spl0_79
| ~ spl0_226 ),
inference(subsumption_resolution,[],[f2712,f963]) ).
fof(f963,plain,
( ~ line_equal(a2c2,a1b1)
| spl0_79 ),
inference(avatar_component_clause,[],[f962]) ).
fof(f962,plain,
( spl0_79
<=> line_equal(a2c2,a1b1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f2712,plain,
( line_equal(a2c2,a1b1)
| ~ spl0_226 ),
inference(resolution,[],[f2642,f127]) ).
fof(f2642,plain,
( line_equal(a1b1,a2c2)
| ~ spl0_226 ),
inference(avatar_component_clause,[],[f2640]) ).
fof(f2666,plain,
( spl0_47
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f2665,f2539,f655]) ).
fof(f2665,plain,
( line_equal(oc,a1b1)
| ~ spl0_221 ),
inference(resolution,[],[f2541,f127]) ).
fof(f2541,plain,
( line_equal(a1b1,oc)
| ~ spl0_221 ),
inference(avatar_component_clause,[],[f2539]) ).
fof(f2586,plain,
( spl0_4
| ~ spl0_79 ),
inference(avatar_contradiction_clause,[],[f2585]) ).
fof(f2585,plain,
( $false
| spl0_4
| ~ spl0_79 ),
inference(subsumption_resolution,[],[f2581,f150]) ).
fof(f150,plain,
( ~ incident(c2,a1b1)
| spl0_4 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f2581,plain,
( incident(c2,a1b1)
| ~ spl0_79 ),
inference(resolution,[],[f1112,f104]) ).
fof(f1112,plain,
( ! [X0] :
( ~ incident(X0,a2c2)
| incident(X0,a1b1) )
| ~ spl0_79 ),
inference(resolution,[],[f964,f133]) ).
fof(f964,plain,
( line_equal(a2c2,a1b1)
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f962]) ).
fof(f2527,plain,
( spl0_44
| ~ spl0_74 ),
inference(avatar_contradiction_clause,[],[f2526]) ).
fof(f2526,plain,
( $false
| spl0_44
| ~ spl0_74 ),
inference(subsumption_resolution,[],[f2523,f586]) ).
fof(f586,plain,
( ~ incident(a2,a1c1)
| spl0_44 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f584,plain,
( spl0_44
<=> incident(a2,a1c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f2523,plain,
( incident(a2,a1c1)
| ~ spl0_74 ),
inference(resolution,[],[f1059,f109]) ).
fof(f1059,plain,
( ! [X0] :
( ~ incident(X0,a2b2)
| incident(X0,a1c1) )
| ~ spl0_74 ),
inference(resolution,[],[f925,f133]) ).
fof(f925,plain,
( line_equal(a2b2,a1c1)
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f2525,plain,
( spl0_207
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f2522,f923,f2348]) ).
fof(f2522,plain,
( incident(ab,a1c1)
| ~ spl0_74 ),
inference(resolution,[],[f1059,f88]) ).
fof(f2505,plain,
( spl0_124
| ~ spl0_217 ),
inference(avatar_split_clause,[],[f2504,f2472,f1383]) ).
fof(f2504,plain,
( line_equal(ob,a2b2)
| ~ spl0_217 ),
inference(resolution,[],[f2474,f127]) ).
fof(f2474,plain,
( line_equal(a2b2,ob)
| ~ spl0_217 ),
inference(avatar_component_clause,[],[f2472]) ).
fof(f2371,plain,
( spl0_20
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f2358,f1021,f284]) ).
fof(f1021,plain,
( spl0_88
<=> line_equal(oa,oc) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f2358,plain,
( incident(a2,oc)
| ~ spl0_88 ),
inference(resolution,[],[f1813,f96]) ).
fof(f1813,plain,
( ! [X0] :
( ~ incident(X0,oa)
| incident(X0,oc) )
| ~ spl0_88 ),
inference(resolution,[],[f1023,f133]) ).
fof(f1023,plain,
( line_equal(oa,oc)
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f1021]) ).
fof(f2318,plain,
( spl0_7
| ~ spl0_44
| spl0_58 ),
inference(avatar_contradiction_clause,[],[f2317]) ).
fof(f2317,plain,
( $false
| spl0_7
| ~ spl0_44
| spl0_58 ),
inference(subsumption_resolution,[],[f2316,f770]) ).
fof(f770,plain,
( ~ line_equal(oa,a1c1)
| spl0_58 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f2316,plain,
( line_equal(oa,a1c1)
| spl0_7
| ~ spl0_44 ),
inference(subsumption_resolution,[],[f2299,f107]) ).
fof(f2299,plain,
( ~ incident(a1,a1c1)
| line_equal(oa,a1c1)
| spl0_7
| ~ spl0_44 ),
inference(resolution,[],[f585,f346]) ).
fof(f346,plain,
( ! [X0] :
( ~ incident(a2,X0)
| ~ incident(a1,X0)
| line_equal(oa,X0) )
| spl0_7 ),
inference(subsumption_resolution,[],[f329,f95]) ).
fof(f329,plain,
( ! [X0] :
( ~ incident(a1,X0)
| ~ incident(a1,oa)
| ~ incident(a2,X0)
| line_equal(oa,X0) )
| spl0_7 ),
inference(resolution,[],[f317,f96]) ).
fof(f317,plain,
( ! [X0,X1] :
( ~ incident(a2,X0)
| ~ incident(a1,X1)
| ~ incident(a1,X0)
| ~ incident(a2,X1)
| line_equal(X0,X1) )
| spl0_7 ),
inference(resolution,[],[f134,f165]) ).
fof(f165,plain,
( ~ point_equal(a2,a1)
| spl0_7 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f163,plain,
( spl0_7
<=> point_equal(a2,a1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f585,plain,
( incident(a2,a1c1)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f2216,plain,
( spl0_161
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f1714,f910,f1720]) ).
fof(f1714,plain,
( line_equal(b2c2,oc)
| ~ spl0_72 ),
inference(resolution,[],[f912,f127]) ).
fof(f1942,plain,
( spl0_178
| spl0_59 ),
inference(avatar_split_clause,[],[f803,f773,f1939]) ).
fof(f803,plain,
! [X0] :
( ~ incident(X0,oa)
| ~ incident(X0,a1c1)
| line_equal(a1c1,oa)
| incident(X0,a1b1) ),
inference(resolution,[],[f498,f107]) ).
fof(f498,plain,
! [X0,X1] :
( ~ incident(a1,X0)
| ~ incident(X1,oa)
| ~ incident(X1,X0)
| line_equal(X0,oa)
| incident(X1,a1b1) ),
inference(resolution,[],[f395,f95]) ).
fof(f395,plain,
! [X2,X0,X1] :
( ~ incident(a1,X0)
| ~ incident(a1,X1)
| ~ incident(X2,X0)
| ~ incident(X2,X1)
| line_equal(X1,X0)
| incident(X2,a1b1) ),
inference(resolution,[],[f314,f111]) ).
fof(f1889,plain,
( spl0_170
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f1888,f1591,f1830]) ).
fof(f1888,plain,
( line_equal(ob,oc)
| ~ spl0_149 ),
inference(resolution,[],[f1593,f127]) ).
fof(f1593,plain,
( line_equal(oc,ob)
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f1591]) ).
fof(f1833,plain,
( spl0_170
| spl0_169 ),
inference(avatar_split_clause,[],[f1826,f1822,f1830]) ).
fof(f1826,plain,
! [X0] :
( ~ incident(X0,oc)
| ~ incident(X0,ob)
| line_equal(ob,oc)
| incident(X0,oa) ),
inference(resolution,[],[f738,f86]) ).
fof(f738,plain,
! [X0,X1] :
( ~ incident(o,X0)
| ~ incident(X1,oc)
| ~ incident(X1,X0)
| line_equal(X0,oc)
| incident(X1,oa) ),
inference(resolution,[],[f416,f85]) ).
fof(f416,plain,
! [X2,X0,X1] :
( ~ incident(o,X0)
| ~ incident(o,X1)
| ~ incident(X2,X0)
| ~ incident(X2,X1)
| line_equal(X1,X0)
| incident(X2,oa) ),
inference(resolution,[],[f314,f87]) ).
fof(f1812,plain,
( spl0_88
| spl0_165 ),
inference(avatar_split_clause,[],[f1808,f1781,f1021]) ).
fof(f1808,plain,
! [X0] :
( ~ incident(X0,oc)
| ~ incident(X0,oa)
| line_equal(oa,oc)
| incident(X0,ob) ),
inference(resolution,[],[f730,f87]) ).
fof(f730,plain,
! [X0,X1] :
( ~ incident(o,X0)
| ~ incident(X1,oc)
| ~ incident(X1,X0)
| line_equal(X0,oc)
| incident(X1,ob) ),
inference(resolution,[],[f415,f85]) ).
fof(f415,plain,
! [X2,X0,X1] :
( ~ incident(o,X0)
| ~ incident(o,X1)
| ~ incident(X2,X0)
| ~ incident(X2,X1)
| line_equal(X1,X0)
| incident(X2,ob) ),
inference(resolution,[],[f314,f86]) ).
fof(f1758,plain,
( spl0_19
| spl0_151 ),
inference(avatar_split_clause,[],[f1752,f1606,f280]) ).
fof(f1752,plain,
! [X0] :
( ~ incident(o,X0)
| ~ incident(b2,X0)
| line_equal(X0,ob)
| incident(b2,oc) ),
inference(resolution,[],[f722,f98]) ).
fof(f722,plain,
! [X0,X1] :
( ~ incident(X1,ob)
| ~ incident(o,X0)
| ~ incident(X1,X0)
| line_equal(X0,ob)
| incident(X1,oc) ),
inference(resolution,[],[f414,f86]) ).
fof(f414,plain,
! [X2,X0,X1] :
( ~ incident(o,X0)
| ~ incident(o,X1)
| ~ incident(X2,X0)
| ~ incident(X2,X1)
| line_equal(X1,X0)
| incident(X2,oc) ),
inference(resolution,[],[f314,f85]) ).
fof(f1743,plain,
( spl0_163
| spl0_164 ),
inference(avatar_split_clause,[],[f1729,f1741,f1737]) ).
fof(f1729,plain,
! [X0] :
( ~ incident(X0,oa)
| ~ incident(X0,ob)
| line_equal(ob,oa)
| incident(X0,oc) ),
inference(resolution,[],[f721,f86]) ).
fof(f721,plain,
! [X0,X1] :
( ~ incident(o,X0)
| ~ incident(X1,oa)
| ~ incident(X1,X0)
| line_equal(X0,oa)
| incident(X1,oc) ),
inference(resolution,[],[f414,f87]) ).
fof(f1723,plain,
( spl0_161
| spl0_160 ),
inference(avatar_split_clause,[],[f1715,f1709,f1720]) ).
fof(f1715,plain,
! [X0] :
( ~ incident(X0,oc)
| ~ incident(X0,b2c2)
| line_equal(b2c2,oc)
| incident(X0,a2c2) ),
inference(resolution,[],[f706,f100]) ).
fof(f706,plain,
! [X0,X1] :
( ~ incident(c2,X0)
| ~ incident(X1,oc)
| ~ incident(X1,X0)
| line_equal(X0,oc)
| incident(X1,a2c2) ),
inference(resolution,[],[f413,f94]) ).
fof(f413,plain,
! [X2,X0,X1] :
( ~ incident(c2,X0)
| ~ incident(c2,X1)
| ~ incident(X2,X0)
| ~ incident(X2,X1)
| line_equal(X1,X0)
| incident(X2,a2c2) ),
inference(resolution,[],[f314,f104]) ).
fof(f1632,plain,
( spl0_140
| spl0_106 ),
inference(avatar_split_clause,[],[f1631,f1221,f1515]) ).
fof(f1631,plain,
( ! [X0] :
( ~ incident(b2,X0)
| ~ incident(c2,X0)
| line_equal(X0,b2c2) )
| spl0_106 ),
inference(subsumption_resolution,[],[f1628,f1222]) ).
fof(f1628,plain,
! [X0] :
( ~ incident(b2,X0)
| ~ incident(c2,X0)
| line_equal(X0,b2c2)
| incident(c2,a2b2) ),
inference(resolution,[],[f668,f100]) ).
fof(f668,plain,
! [X0,X1] :
( ~ incident(X1,b2c2)
| ~ incident(b2,X0)
| ~ incident(X1,X0)
| line_equal(X0,b2c2)
| incident(X1,a2b2) ),
inference(resolution,[],[f410,f101]) ).
fof(f410,plain,
! [X2,X0,X1] :
( ~ incident(b2,X0)
| ~ incident(b2,X1)
| ~ incident(X2,X0)
| ~ incident(X2,X1)
| line_equal(X1,X0)
| incident(X2,a2b2) ),
inference(resolution,[],[f314,f108]) ).
fof(f1509,plain,
( spl0_137
| spl0_138 ),
inference(avatar_split_clause,[],[f1498,f1507,f1503]) ).
fof(f1498,plain,
! [X0] :
( ~ incident(b2,X0)
| ~ incident(bc,X0)
| line_equal(X0,b2c2)
| incident(bc,ob) ),
inference(resolution,[],[f620,f93]) ).
fof(f620,plain,
! [X0,X1] :
( ~ incident(X1,b2c2)
| ~ incident(b2,X0)
| ~ incident(X1,X0)
| line_equal(X0,b2c2)
| incident(X1,ob) ),
inference(resolution,[],[f408,f101]) ).
fof(f408,plain,
! [X2,X0,X1] :
( ~ incident(b2,X0)
| ~ incident(b2,X1)
| ~ incident(X2,X0)
| ~ incident(X2,X1)
| line_equal(X1,X0)
| incident(X2,ob) ),
inference(resolution,[],[f314,f98]) ).
fof(f1480,plain,
( ~ spl0_14
| ~ spl0_58
| ~ spl0_110 ),
inference(avatar_contradiction_clause,[],[f1479]) ).
fof(f1479,plain,
( $false
| ~ spl0_14
| ~ spl0_58
| ~ spl0_110 ),
inference(subsumption_resolution,[],[f1449,f275]) ).
fof(f1449,plain,
( incident(b1,a1c1)
| ~ spl0_58
| ~ spl0_110 ),
inference(resolution,[],[f1269,f785]) ).
fof(f785,plain,
( ! [X0] :
( ~ incident(X0,oa)
| incident(X0,a1c1) )
| ~ spl0_58 ),
inference(resolution,[],[f771,f133]) ).
fof(f1259,plain,
( ~ spl0_15
| ~ spl0_106 ),
inference(avatar_contradiction_clause,[],[f1258]) ).
fof(f1258,plain,
( $false
| ~ spl0_15
| ~ spl0_106 ),
inference(subsumption_resolution,[],[f1257,f108]) ).
fof(f1257,plain,
( ~ incident(b2,a2b2)
| ~ spl0_15
| ~ spl0_106 ),
inference(subsumption_resolution,[],[f1248,f109]) ).
fof(f1248,plain,
( ~ incident(a2,a2b2)
| ~ incident(b2,a2b2)
| ~ spl0_15
| ~ spl0_106 ),
inference(resolution,[],[f1223,f204]) ).
fof(f1223,plain,
( incident(c2,a2b2)
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f1221]) ).
fof(f1247,plain,
( spl0_108
| spl0_105 ),
inference(avatar_split_clause,[],[f1244,f1210,f1235]) ).
fof(f1244,plain,
! [X0] :
( ~ incident(a2,X0)
| ~ incident(o,X0)
| line_equal(X0,oa)
| incident(o,a2b2) ),
inference(resolution,[],[f597,f87]) ).
fof(f597,plain,
! [X0,X1] :
( ~ incident(X1,oa)
| ~ incident(a2,X0)
| ~ incident(X1,X0)
| line_equal(X0,oa)
| incident(X1,a2b2) ),
inference(resolution,[],[f405,f96]) ).
fof(f405,plain,
! [X2,X0,X1] :
( ~ incident(a2,X0)
| ~ incident(a2,X1)
| ~ incident(X2,X0)
| ~ incident(X2,X1)
| line_equal(X1,X0)
| incident(X2,a2b2) ),
inference(resolution,[],[f314,f109]) ).
fof(f1227,plain,
( spl0_106
| spl0_107 ),
inference(avatar_split_clause,[],[f1216,f1225,f1221]) ).
fof(f1216,plain,
! [X0] :
( ~ incident(a2,X0)
| ~ incident(c2,X0)
| line_equal(X0,a2c2)
| incident(c2,a2b2) ),
inference(resolution,[],[f593,f104]) ).
fof(f593,plain,
! [X0,X1] :
( ~ incident(X1,a2c2)
| ~ incident(a2,X0)
| ~ incident(X1,X0)
| line_equal(X0,a2c2)
| incident(X1,a2b2) ),
inference(resolution,[],[f405,f105]) ).
fof(f1183,plain,
( spl0_100
| spl0_101 ),
inference(avatar_split_clause,[],[f1172,f1181,f1177]) ).
fof(f1172,plain,
! [X0] :
( ~ incident(a2,X0)
| ~ incident(ab,X0)
| line_equal(X0,a2b2)
| incident(ab,a2c2) ),
inference(resolution,[],[f589,f88]) ).
fof(f1156,plain,
( spl0_98
| spl0_99 ),
inference(avatar_split_clause,[],[f1145,f1154,f1150]) ).
fof(f1145,plain,
! [X0] :
( ~ incident(X0,oc)
| ~ incident(X0,b1c1)
| line_equal(b1c1,oc)
| incident(X0,a1c1) ),
inference(resolution,[],[f571,f103]) ).
fof(f571,plain,
! [X0,X1] :
( ~ incident(c1,X0)
| ~ incident(X1,oc)
| ~ incident(X1,X0)
| line_equal(X0,oc)
| incident(X1,a1c1) ),
inference(resolution,[],[f403,f99]) ).
fof(f403,plain,
! [X2,X0,X1] :
( ~ incident(c1,X0)
| ~ incident(c1,X1)
| ~ incident(X2,X0)
| ~ incident(X2,X1)
| line_equal(X1,X0)
| incident(X2,a1c1) ),
inference(resolution,[],[f314,f106]) ).
fof(f818,plain,
( spl0_61
| spl0_57 ),
inference(avatar_split_clause,[],[f810,f765,f815]) ).
fof(f810,plain,
! [X0] :
( ~ incident(X0,a1b1)
| ~ incident(X0,a1c1)
| line_equal(a1c1,a1b1)
| incident(X0,oa) ),
inference(resolution,[],[f506,f107]) ).
fof(f506,plain,
! [X0,X1] :
( ~ incident(a1,X0)
| ~ incident(X1,a1b1)
| ~ incident(X1,X0)
| line_equal(X0,a1b1)
| incident(X1,oa) ),
inference(resolution,[],[f396,f111]) ).
fof(f396,plain,
! [X2,X0,X1] :
( ~ incident(a1,X0)
| ~ incident(a1,X1)
| ~ incident(X2,X0)
| ~ incident(X2,X1)
| line_equal(X1,X0)
| incident(X2,oa) ),
inference(resolution,[],[f314,f95]) ).
fof(f802,plain,
( spl0_55
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f751,f713,f756]) ).
fof(f751,plain,
( incident(b2,a1b1)
| ~ spl0_53 ),
inference(resolution,[],[f724,f98]) ).
fof(f724,plain,
( ! [X0] :
( ~ incident(X0,ob)
| incident(X0,a1b1) )
| ~ spl0_53 ),
inference(resolution,[],[f715,f133]) ).
fof(f719,plain,
( spl0_53
| spl0_54 ),
inference(avatar_split_clause,[],[f710,f717,f713]) ).
fof(f710,plain,
! [X0] :
( ~ incident(X0,a1b1)
| ~ incident(X0,ob)
| line_equal(ob,a1b1)
| incident(X0,b1c1) ),
inference(resolution,[],[f522,f97]) ).
fof(f522,plain,
! [X0,X1] :
( ~ incident(b1,X0)
| ~ incident(X1,a1b1)
| ~ incident(X1,X0)
| line_equal(X0,a1b1)
| incident(X1,b1c1) ),
inference(resolution,[],[f398,f110]) ).
fof(f495,plain,
( spl0_39
| spl0_40 ),
inference(avatar_split_clause,[],[f486,f493,f489]) ).
fof(f486,plain,
! [X0] :
( ~ incident(X0,a1b1)
| ~ incident(X0,oa)
| line_equal(oa,a1b1)
| incident(X0,a1c1) ),
inference(resolution,[],[f465,f95]) ).
fof(f478,plain,
( spl0_37
| spl0_38
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f467,f154,f476,f472]) ).
fof(f467,plain,
( ! [X0] :
( ~ incident(a1,X0)
| ~ incident(ac,X0)
| line_equal(X0,a1c1)
| incident(ac,b2c2) )
| ~ spl0_5 ),
inference(resolution,[],[f460,f91]) ).
fof(f460,plain,
( ! [X0,X1] :
( ~ incident(X1,a1c1)
| ~ incident(a1,X0)
| ~ incident(X1,X0)
| line_equal(X0,a1c1)
| incident(X1,b2c2) )
| ~ spl0_5 ),
inference(resolution,[],[f393,f107]) ).
fof(f393,plain,
( ! [X2,X0,X1] :
( ~ incident(a1,X0)
| ~ incident(a1,X1)
| ~ incident(X2,X0)
| ~ incident(X2,X1)
| line_equal(X1,X0)
| incident(X2,b2c2) )
| ~ spl0_5 ),
inference(resolution,[],[f314,f156]) ).
fof(f386,plain,
( ~ spl0_35
| spl0_36
| spl0_9 ),
inference(avatar_split_clause,[],[f369,f172,f384,f380]) ).
fof(f369,plain,
( ! [X0] :
( ~ incident(c1,X0)
| ~ incident(c1,a2c2)
| ~ incident(c2,X0)
| line_equal(a2c2,X0) )
| spl0_9 ),
inference(resolution,[],[f319,f104]) ).
fof(f358,plain,
( ~ spl0_29
| spl0_30
| spl0_10 ),
inference(avatar_split_clause,[],[f348,f177,f356,f352]) ).
fof(f348,plain,
( ! [X0] :
( ~ incident(b1,X0)
| ~ incident(b1,b2c2)
| ~ incident(b2,X0)
| line_equal(b2c2,X0) )
| spl0_10 ),
inference(resolution,[],[f318,f101]) ).
fof(f345,plain,
( ~ spl0_27
| spl0_28
| spl0_7 ),
inference(avatar_split_clause,[],[f327,f163,f343,f339]) ).
fof(f327,plain,
( ! [X0] :
( ~ incident(a1,X0)
| ~ incident(a1,a2b2)
| ~ incident(a2,X0)
| line_equal(a2b2,X0) )
| spl0_7 ),
inference(resolution,[],[f317,f109]) ).
fof(f287,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f276,f203,f284,f280]) ).
fof(f276,plain,
( ~ incident(a2,oc)
| ~ incident(b2,oc)
| ~ spl0_15 ),
inference(resolution,[],[f204,f94]) ).
fof(f210,plain,
~ spl0_8,
inference(avatar_split_clause,[],[f84,f167]) ).
fof(f167,plain,
( spl0_8
<=> goal ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f84,plain,
~ goal,
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
~ goal,
inference(flattening,[],[f52]) ).
fof(f52,negated_conjecture,
~ goal,
inference(negated_conjecture,[],[f51]) ).
fof(f51,conjecture,
goal,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_to_be_proved) ).
fof(f209,plain,
( spl0_16
| spl0_8 ),
inference(avatar_split_clause,[],[f125,f167,f207]) ).
fof(f125,plain,
! [X0] :
( goal
| ~ incident(ab,X0)
| ~ incident(ac,X0)
| ~ incident(bc,X0)
| ~ line_equal(X0,X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( goal
| ~ incident(ab,X0)
| ~ incident(ac,X0)
| ~ incident(bc,X0)
| ~ line_equal(X0,X0) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0] :
( goal
| ~ incident(ab,X0)
| ~ incident(ac,X0)
| ~ incident(bc,X0)
| ~ line_equal(X0,X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ( incident(ab,X0)
& incident(ac,X0)
& incident(bc,X0)
& line_equal(X0,X0) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_normal) ).
fof(f205,plain,
( spl0_15
| spl0_8 ),
inference(avatar_split_clause,[],[f124,f167,f203]) ).
fof(f124,plain,
! [X0] :
( goal
| ~ incident(c2,X0)
| ~ incident(b2,X0)
| ~ incident(a2,X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( goal
| ~ incident(c2,X0)
| ~ incident(b2,X0)
| ~ incident(a2,X0) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0] :
( goal
| ~ incident(c2,X0)
| ~ incident(b2,X0)
| ~ incident(a2,X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( ( incident(c2,X0)
& incident(b2,X0)
& incident(a2,X0) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',triangle2) ).
fof(f201,plain,
( spl0_14
| spl0_8 ),
inference(avatar_split_clause,[],[f123,f167,f199]) ).
fof(f123,plain,
! [X0] :
( goal
| ~ incident(c1,X0)
| ~ incident(b1,X0)
| ~ incident(a1,X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( goal
| ~ incident(c1,X0)
| ~ incident(b1,X0)
| ~ incident(a1,X0) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0] :
( goal
| ~ incident(c1,X0)
| ~ incident(b1,X0)
| ~ incident(a1,X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( ( incident(c1,X0)
& incident(b1,X0)
& incident(a1,X0) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',triangle1) ).
fof(f197,plain,
( ~ spl0_5
| ~ spl0_3
| ~ spl0_1
| spl0_8 ),
inference(avatar_split_clause,[],[f122,f167,f136,f145,f154]) ).
fof(f122,plain,
( goal
| ~ incident(c1,a2b2)
| ~ incident(b1,a2c2)
| ~ incident(a1,b2c2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( goal
| ~ incident(c1,a2b2)
| ~ incident(b1,a2c2)
| ~ incident(a1,b2c2) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
( goal
| ~ incident(c1,a2b2)
| ~ incident(b1,a2c2)
| ~ incident(a1,b2c2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( incident(c1,a2b2)
& incident(b1,a2c2)
& incident(a1,b2c2) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1in2) ).
fof(f196,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f121,f167,f149,f158,f140]) ).
fof(f121,plain,
( goal
| ~ incident(c2,a1b1)
| ~ incident(b2,a1c1)
| ~ incident(a2,b1c1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( goal
| ~ incident(c2,a1b1)
| ~ incident(b2,a1c1)
| ~ incident(a2,b1c1) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
( goal
| ~ incident(c2,a1b1)
| ~ incident(b2,a1c1)
| ~ incident(a2,b1c1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( incident(c2,a1b1)
& incident(b2,a1c1)
& incident(a2,b1c1) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2in1) ).
fof(f195,plain,
( ~ spl0_13
| spl0_8 ),
inference(avatar_split_clause,[],[f120,f167,f192]) ).
fof(f120,plain,
( goal
| ~ line_equal(a1c1,a2c2) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( goal
| ~ line_equal(a1c1,a2c2) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
( line_equal(a1c1,a2c2)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notac) ).
fof(f190,plain,
( ~ spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f119,f167,f187]) ).
fof(f119,plain,
( goal
| ~ line_equal(a1b1,a2b2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( goal
| ~ line_equal(a1b1,a2b2) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
( line_equal(a1b1,a2b2)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notab) ).
fof(f185,plain,
( ~ spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f118,f167,f182]) ).
fof(f118,plain,
( goal
| ~ line_equal(b1c1,b2c2) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( goal
| ~ line_equal(b1c1,b2c2) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
( line_equal(b1c1,b2c2)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notbc) ).
fof(f180,plain,
( ~ spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f117,f167,f177]) ).
fof(f117,plain,
( goal
| ~ point_equal(b2,b1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( goal
| ~ point_equal(b2,b1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
( point_equal(b2,b1)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notbb) ).
fof(f175,plain,
( ~ spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f116,f167,f172]) ).
fof(f116,plain,
( goal
| ~ point_equal(c2,c1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( goal
| ~ point_equal(c2,c1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
( point_equal(c2,c1)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notcc) ).
fof(f170,plain,
( ~ spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f115,f167,f163]) ).
fof(f115,plain,
( goal
| ~ point_equal(a2,a1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( goal
| ~ point_equal(a2,a1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
( point_equal(a2,a1)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notaa) ).
fof(f161,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f114,f158,f154]) ).
fof(f114,plain,
( incident(b2,a1c1)
| incident(a1,b2c2) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( incident(b2,a1c1)
| incident(a1,b2c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gap_a) ).
fof(f152,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f113,f149,f145]) ).
fof(f113,plain,
( incident(c2,a1b1)
| incident(b1,a2c2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( incident(c2,a1b1)
| incident(b1,a2c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gap_b) ).
fof(f143,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f112,f140,f136]) ).
fof(f112,plain,
( incident(a2,b1c1)
| incident(c1,a2b2) ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( incident(a2,b1c1)
| incident(c1,a2b2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gap_c) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO169+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 05:48:36 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % (31759)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (31761)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.35 % (31760)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.35 % (31763)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.35 % (31764)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.35 % (31765)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.35 % (31766)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)
% 0.12/0.35 % (31762)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)
% 0.12/0.36 Detected minimum model sizes of [1]
% 0.12/0.36 Detected maximum model sizes of [19]
% 0.12/0.36 TRYING [1]
% 0.12/0.36 Detected minimum model sizes of [1]
% 0.12/0.36 Detected maximum model sizes of [19]
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [2]
% 0.12/0.36 Detected minimum model sizes of [1,1]
% 0.12/0.36 Detected minimum model sizes of [1,1]
% 0.12/0.36 Detected maximum model sizes of [10,9]
% 0.12/0.36 Detected maximum model sizes of [10,9]
% 0.12/0.36 TRYING [1,1]
% 0.12/0.36 TRYING [1,1]
% 0.12/0.36 TRYING [2]
% 0.12/0.36 TRYING [2,2]
% 0.12/0.36 TRYING [2,2]
% 0.12/0.36 TRYING [3]
% 0.12/0.36 TRYING [3]
% 0.12/0.36 TRYING [3,2]
% 0.12/0.36 TRYING [3,2]
% 0.12/0.36 TRYING [4]
% 0.12/0.36 TRYING [3,3]
% 0.18/0.36 TRYING [3,3]
% 0.18/0.36 TRYING [4]
% 0.18/0.36 TRYING [4,3]
% 0.18/0.36 TRYING [4,3]
% 0.18/0.37 TRYING [5]
% 0.18/0.37 TRYING [5,3]
% 0.18/0.37 TRYING [5,3]
% 0.18/0.37 TRYING [5]
% 0.18/0.37 TRYING [4,4]
% 0.18/0.37 TRYING [4,4]
% 0.18/0.38 TRYING [6,3]
% 0.18/0.38 TRYING [6,3]
% 0.18/0.38 TRYING [6]
% 0.18/0.39 TRYING [5,4]
% 0.18/0.39 TRYING [5,4]
% 0.18/0.39 TRYING [6]
% 0.18/0.40 TRYING [7,3]
% 0.18/0.40 TRYING [7,3]
% 0.18/0.41 TRYING [6,4]
% 0.18/0.41 TRYING [6,4]
% 0.18/0.42 TRYING [5,5]
% 0.18/0.42 TRYING [5,5]
% 0.18/0.44 TRYING [7,4]
% 0.18/0.44 TRYING [7,4]
% 0.18/0.45 TRYING [7]
% 0.18/0.45 TRYING [6,5]
% 0.18/0.46 TRYING [7]
% 0.18/0.46 TRYING [6,5]
% 0.18/0.47 TRYING [8,4]
% 0.18/0.48 TRYING [8,4]
% 0.18/0.48 TRYING [7,5]
% 0.18/0.49 TRYING [7,5]
% 0.18/0.51 TRYING [6,6]
% 0.18/0.52 TRYING [6,6]
% 1.55/0.55 TRYING [8]
% 1.55/0.55 TRYING [9,4]
% 1.65/0.56 TRYING [8,5]
% 1.65/0.57 TRYING [9,4]
% 1.65/0.57 TRYING [8]
% 1.65/0.58 TRYING [8,5]
% 1.65/0.59 TRYING [7,6]
% 1.65/0.62 TRYING [7,6]
% 2.36/0.66 TRYING [9,5]
% 2.36/0.67 % (31765)First to succeed.
% 2.36/0.67 % (31765)Refutation found. Thanks to Tanya!
% 2.36/0.67 % SZS status Theorem for theBenchmark
% 2.36/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 2.36/0.68 % (31765)------------------------------
% 2.36/0.68 % (31765)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.36/0.68 % (31765)Termination reason: Refutation
% 2.36/0.68
% 2.36/0.68 % (31765)Memory used [KB]: 4043
% 2.36/0.68 % (31765)Time elapsed: 0.319 s
% 2.36/0.68 % (31765)Instructions burned: 971 (million)
% 2.36/0.68 % (31765)------------------------------
% 2.36/0.68 % (31765)------------------------------
% 2.36/0.68 % (31759)Success in time 0.327 s
%------------------------------------------------------------------------------