TSTP Solution File: GEO168+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO168+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 : n003.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 137.45s 20.07s
% Output : Refutation 137.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 158
% Syntax : Number of formulae : 904 ( 64 unt; 0 def)
% Number of atoms : 2469 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 2790 (1225 ~;1374 |; 37 &)
% ( 128 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 134 ( 133 usr; 130 prp; 0-4 aty)
% Number of functors : 20 ( 20 usr; 17 con; 0-3 aty)
% Number of variables : 528 ( 514 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f271271,plain,
$false,
inference(avatar_sat_refutation,[],[f110,f115,f120,f125,f130,f135,f139,f140,f264,f374,f382,f442,f457,f497,f519,f549,f557,f596,f604,f626,f650,f813,f818,f870,f1015,f1058,f2335,f3863,f4249,f4253,f4795,f5146,f5580,f6539,f7969,f8346,f8460,f8792,f8840,f9504,f9550,f10614,f10887,f11019,f11264,f11426,f11548,f11646,f12225,f13040,f13193,f13256,f13340,f13398,f13766,f14726,f14751,f15083,f15184,f16041,f16043,f16206,f17727,f17834,f17838,f18043,f18223,f18342,f18348,f21773,f21922,f21925,f21937,f22595,f22847,f22927,f23116,f23123,f24908,f25019,f26107,f26820,f27794,f29097,f30789,f33353,f33392,f33415,f33623,f34757,f35600,f35708,f35719,f35904,f36703,f38687,f38862,f39362,f39463,f50183,f50244,f55439,f61607,f63280,f73818,f73887,f74332,f86109,f86820,f86822,f90938,f91132,f101227,f135637,f175369,f180345,f181430,f191043,f195942,f205621,f205635,f205637,f205666,f211618,f212453,f222894,f222897,f225941,f225979,f226015,f246215,f253843,f254306,f255367,f255383,f255602,f255811,f268345,f271266]) ).
fof(f271266,plain,
( ~ spl3_8
| ~ spl3_1677 ),
inference(avatar_contradiction_clause,[],[f271265]) ).
fof(f271265,plain,
( $false
| ~ spl3_8
| ~ spl3_1677 ),
inference(subsumption_resolution,[],[f271264,f2167]) ).
fof(f2167,plain,
incident(h,sK0(h,g)),
inference(resolution,[],[f346,f229]) ).
fof(f229,plain,
point_equal(g,g),
inference(resolution,[],[f161,f87]) ).
fof(f87,plain,
! [X0,X1] :
( ~ incident(X0,X1)
| point_equal(X0,X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( point_equal(X0,X0)
| ~ incident(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( incident(X0,X1)
=> point_equal(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_point_equal) ).
fof(f161,plain,
incident(g,n),
inference(resolution,[],[f99,f70]) ).
fof(f70,plain,
colinear(b,f,g,n),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( colinear(c,e,g,o)
& colinear(b,f,g,n) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption2) ).
fof(f99,plain,
! [X2,X3,X0,X1] :
( ~ colinear(X0,X1,X2,X3)
| incident(X2,X3) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2,X3] :
( incident(X2,X3)
| ~ colinear(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( colinear(X0,X1,X2,X3)
=> incident(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity_elimination3) ).
fof(f346,plain,
! [X0] :
( ~ point_equal(X0,X0)
| incident(h,sK0(h,X0)) ),
inference(resolution,[],[f235,f89]) ).
fof(f89,plain,
! [X0,X1] :
( ~ point_equal(X0,X0)
| ~ point_equal(X1,X1)
| incident(X0,sK0(X0,X1)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ( incident(X1,sK0(X0,X1))
& incident(X0,sK0(X0,X1)) )
| ~ point_equal(X1,X1)
| ~ point_equal(X0,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f44,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ? [X2] :
( incident(X1,X2)
& incident(X0,X2) )
=> ( incident(X1,sK0(X0,X1))
& incident(X0,sK0(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0,X1] :
( ? [X2] :
( incident(X1,X2)
& incident(X0,X2) )
| ~ point_equal(X1,X1)
| ~ point_equal(X0,X0) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ? [X2] :
( incident(X1,X2)
& incident(X0,X2) )
| ~ point_equal(X1,X1)
| ~ point_equal(X0,X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1] :
( ( point_equal(X1,X1)
& point_equal(X0,X0) )
=> ? [X2] :
( incident(X1,X2)
& incident(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',line) ).
fof(f235,plain,
point_equal(h,h),
inference(resolution,[],[f163,f87]) ).
fof(f163,plain,
incident(h,p),
inference(resolution,[],[f99,f72]) ).
fof(f72,plain,
colinear(b,d,h,p),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( colinear(a,e,h,q)
& colinear(b,d,h,p) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption3) ).
fof(f271264,plain,
( ~ incident(h,sK0(h,g))
| ~ spl3_8
| ~ spl3_1677 ),
inference(subsumption_resolution,[],[f271249,f2147]) ).
fof(f2147,plain,
incident(g,sK0(h,g)),
inference(resolution,[],[f345,f229]) ).
fof(f345,plain,
! [X0] :
( ~ point_equal(X0,X0)
| incident(X0,sK0(h,X0)) ),
inference(resolution,[],[f235,f90]) ).
fof(f90,plain,
! [X0,X1] :
( ~ point_equal(X0,X0)
| ~ point_equal(X1,X1)
| incident(X1,sK0(X0,X1)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f271249,plain,
( ~ incident(g,sK0(h,g))
| ~ incident(h,sK0(h,g))
| ~ spl3_8
| ~ spl3_1677 ),
inference(resolution,[],[f268503,f138]) ).
fof(f138,plain,
( ! [X0] :
( ~ incident(i,X0)
| ~ incident(g,X0)
| ~ incident(h,X0) )
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl3_8
<=> ! [X0] :
( ~ incident(i,X0)
| ~ incident(g,X0)
| ~ incident(h,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f268503,plain,
( incident(i,sK0(h,g))
| ~ spl3_1677 ),
inference(resolution,[],[f250861,f2167]) ).
fof(f250861,plain,
( ! [X0] :
( ~ incident(h,X0)
| incident(i,X0) )
| ~ spl3_1677 ),
inference(resolution,[],[f15245,f92]) ).
fof(f92,plain,
! [X2,X0,X1] :
( ~ point_equal(X0,X1)
| ~ incident(X1,X2)
| incident(X0,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( incident(X0,X2)
| ~ incident(X1,X2)
| ~ point_equal(X0,X1) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( incident(X0,X2)
| ~ incident(X1,X2)
| ~ point_equal(X0,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1,X2] :
( ( incident(X1,X2)
& point_equal(X0,X1) )
=> incident(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pcon) ).
fof(f15245,plain,
( point_equal(i,h)
| ~ spl3_1677 ),
inference(avatar_component_clause,[],[f15243]) ).
fof(f15243,plain,
( spl3_1677
<=> point_equal(i,h) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1677])]) ).
fof(f268345,plain,
( spl3_9519
| spl3_9520
| ~ spl3_1502 ),
inference(avatar_split_clause,[],[f268344,f11620,f115872,f115869]) ).
fof(f115869,plain,
( spl3_9519
<=> ! [X1] :
( line_equal(n,X1)
| ~ colinear(c,e,g,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9519])]) ).
fof(f115872,plain,
( spl3_9520
<=> ! [X0] :
( ~ colinear(c,d,i,X0)
| line_equal(X0,s) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9520])]) ).
fof(f11620,plain,
( spl3_1502
<=> ! [X0,X3,X2,X1] :
( ~ colinear(a,b,X0,X1)
| ~ colinear(X0,d,i,X2)
| line_equal(n,X3)
| ~ colinear(X0,e,g,X3)
| line_equal(X2,s) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1502])]) ).
fof(f268344,plain,
( ! [X0,X1] :
( ~ colinear(c,d,i,X0)
| line_equal(n,X1)
| ~ colinear(c,e,g,X1)
| line_equal(X0,s) )
| ~ spl3_1502 ),
inference(resolution,[],[f11621,f76]) ).
fof(f76,plain,
colinear(a,b,c,l),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( colinear(d,e,f,m)
& colinear(a,b,c,l) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption1) ).
fof(f11621,plain,
( ! [X2,X3,X0,X1] :
( ~ colinear(a,b,X0,X1)
| ~ colinear(X0,d,i,X2)
| line_equal(n,X3)
| ~ colinear(X0,e,g,X3)
| line_equal(X2,s) )
| ~ spl3_1502 ),
inference(avatar_component_clause,[],[f11620]) ).
fof(f255811,plain,
( spl3_1372
| ~ spl3_45
| ~ spl3_1371 ),
inference(avatar_split_clause,[],[f255810,f9334,f590,f9338]) ).
fof(f9338,plain,
( spl3_1372
<=> point_equal(sK1(s,m),e) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1372])]) ).
fof(f590,plain,
( spl3_45
<=> ! [X0] :
( point_equal(X0,e)
| ~ incident(X0,o)
| ~ incident(X0,m) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_45])]) ).
fof(f9334,plain,
( spl3_1371
<=> incident(sK1(s,m),o) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1371])]) ).
fof(f255810,plain,
( point_equal(sK1(s,m),e)
| ~ spl3_45
| ~ spl3_1371 ),
inference(subsumption_resolution,[],[f255801,f1142]) ).
fof(f1142,plain,
incident(sK1(s,m),m),
inference(resolution,[],[f278,f179]) ).
fof(f179,plain,
line_equal(s,s),
inference(resolution,[],[f148,f88]) ).
fof(f88,plain,
! [X0,X1] :
( ~ incident(X0,X1)
| line_equal(X1,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( line_equal(X1,X1)
| ~ incident(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( incident(X0,X1)
=> line_equal(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_line_equal) ).
fof(f148,plain,
incident(a,s),
inference(resolution,[],[f97,f75]) ).
fof(f75,plain,
colinear(a,f,i,s),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( colinear(a,f,i,s)
& colinear(c,d,i,r) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption4) ).
fof(f97,plain,
! [X2,X3,X0,X1] :
( ~ colinear(X0,X1,X2,X3)
| incident(X0,X3) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2,X3] :
( incident(X0,X3)
| ~ colinear(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X2,X3] :
( colinear(X0,X1,X2,X3)
=> incident(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity_elimination1) ).
fof(f278,plain,
! [X0] :
( ~ line_equal(X0,X0)
| incident(sK1(X0,m),m) ),
inference(resolution,[],[f167,f95]) ).
fof(f95,plain,
! [X0,X1] :
( ~ line_equal(X1,X1)
| ~ line_equal(X0,X0)
| incident(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ( incident(sK1(X0,X1),X1)
& incident(sK1(X0,X1),X0) )
| ~ line_equal(X0,X0)
| ~ line_equal(X1,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f64,f65]) ).
fof(f65,plain,
! [X0,X1] :
( ? [X2] :
( incident(X2,X1)
& incident(X2,X0) )
=> ( incident(sK1(X0,X1),X1)
& incident(sK1(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0,X1] :
( ? [X2] :
( incident(X2,X1)
& incident(X2,X0) )
| ~ line_equal(X0,X0)
| ~ line_equal(X1,X1) ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
! [X1,X2] :
( ? [X3] :
( incident(X3,X2)
& incident(X3,X1) )
| ~ line_equal(X1,X1)
| ~ line_equal(X2,X2) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X1,X2] :
( ? [X3] :
( incident(X3,X2)
& incident(X3,X1) )
| ~ line_equal(X1,X1)
| ~ line_equal(X2,X2) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X1,X2] :
( ( line_equal(X1,X1)
& line_equal(X2,X2) )
=> ? [X3] :
( incident(X3,X2)
& incident(X3,X1) ) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X0,X1,X2] :
( ( line_equal(X1,X1)
& line_equal(X2,X2) )
=> ? [X0] :
( incident(X0,X2)
& incident(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',point) ).
fof(f167,plain,
line_equal(m,m),
inference(resolution,[],[f142,f88]) ).
fof(f142,plain,
incident(d,m),
inference(resolution,[],[f97,f77]) ).
fof(f77,plain,
colinear(d,e,f,m),
inference(cnf_transformation,[],[f1]) ).
fof(f255801,plain,
( point_equal(sK1(s,m),e)
| ~ incident(sK1(s,m),m)
| ~ spl3_45
| ~ spl3_1371 ),
inference(resolution,[],[f9335,f591]) ).
fof(f591,plain,
( ! [X0] :
( ~ incident(X0,o)
| point_equal(X0,e)
| ~ incident(X0,m) )
| ~ spl3_45 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f9335,plain,
( incident(sK1(s,m),o)
| ~ spl3_1371 ),
inference(avatar_component_clause,[],[f9334]) ).
fof(f255602,plain,
( spl3_1435
| ~ spl3_24
| ~ spl3_388
| ~ spl3_1275 ),
inference(avatar_split_clause,[],[f255601,f7949,f3004,f436,f10326]) ).
fof(f10326,plain,
( spl3_1435
<=> point_equal(sK1(r,o),b) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1435])]) ).
fof(f436,plain,
( spl3_24
<=> ! [X0] :
( point_equal(X0,b)
| ~ incident(X0,l)
| ~ incident(X0,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).
fof(f3004,plain,
( spl3_388
<=> incident(sK1(r,o),l) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_388])]) ).
fof(f7949,plain,
( spl3_1275
<=> incident(sK1(r,o),n) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1275])]) ).
fof(f255601,plain,
( point_equal(sK1(r,o),b)
| ~ spl3_24
| ~ spl3_388
| ~ spl3_1275 ),
inference(subsumption_resolution,[],[f255592,f3005]) ).
fof(f3005,plain,
( incident(sK1(r,o),l)
| ~ spl3_388 ),
inference(avatar_component_clause,[],[f3004]) ).
fof(f255592,plain,
( ~ incident(sK1(r,o),l)
| point_equal(sK1(r,o),b)
| ~ spl3_24
| ~ spl3_1275 ),
inference(resolution,[],[f7950,f437]) ).
fof(f437,plain,
( ! [X0] :
( ~ incident(X0,n)
| ~ incident(X0,l)
| point_equal(X0,b) )
| ~ spl3_24 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f7950,plain,
( incident(sK1(r,o),n)
| ~ spl3_1275 ),
inference(avatar_component_clause,[],[f7949]) ).
fof(f255383,plain,
( spl3_1502
| ~ spl3_600
| spl3_1501 ),
inference(avatar_split_clause,[],[f255382,f11616,f4247,f11620]) ).
fof(f4247,plain,
( spl3_600
<=> ! [X3,X4,X0,X5,X2,X1] :
( line_equal(X0,s)
| ~ colinear(a,b,X1,X5)
| ~ colinear(b,f,X4,X2)
| ~ colinear(X1,e,X4,X3)
| colinear(X4,h,i,sK2(X4,h,i))
| line_equal(X2,X3)
| ~ colinear(X1,d,i,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_600])]) ).
fof(f11616,plain,
( spl3_1501
<=> colinear(g,h,i,sK2(g,h,i)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1501])]) ).
fof(f255382,plain,
( ! [X2,X3,X0,X1] :
( ~ colinear(a,b,X0,X1)
| line_equal(X2,s)
| ~ colinear(X0,e,g,X3)
| line_equal(n,X3)
| ~ colinear(X0,d,i,X2) )
| ~ spl3_600
| spl3_1501 ),
inference(subsumption_resolution,[],[f255381,f11617]) ).
fof(f11617,plain,
( ~ colinear(g,h,i,sK2(g,h,i))
| spl3_1501 ),
inference(avatar_component_clause,[],[f11616]) ).
fof(f255381,plain,
( ! [X2,X3,X0,X1] :
( ~ colinear(a,b,X0,X1)
| line_equal(X2,s)
| ~ colinear(X0,e,g,X3)
| colinear(g,h,i,sK2(g,h,i))
| line_equal(n,X3)
| ~ colinear(X0,d,i,X2) )
| ~ spl3_600 ),
inference(resolution,[],[f4248,f70]) ).
fof(f4248,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ colinear(b,f,X4,X2)
| ~ colinear(a,b,X1,X5)
| line_equal(X0,s)
| ~ colinear(X1,e,X4,X3)
| colinear(X4,h,i,sK2(X4,h,i))
| line_equal(X2,X3)
| ~ colinear(X1,d,i,X0) )
| ~ spl3_600 ),
inference(avatar_component_clause,[],[f4247]) ).
fof(f255367,plain,
( spl3_1390
| ~ spl3_9
| ~ spl3_11
| spl3_120
| ~ spl3_597 ),
inference(avatar_split_clause,[],[f255366,f4231,f1032,f257,f244,f9605]) ).
fof(f9605,plain,
( spl3_1390
<=> point_equal(sK1(s,r),h) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1390])]) ).
fof(f244,plain,
( spl3_9
<=> incident(h,r) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f257,plain,
( spl3_11
<=> incident(h,s) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f1032,plain,
( spl3_120
<=> line_equal(s,r) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_120])]) ).
fof(f4231,plain,
( spl3_597
<=> point_equal(sK1(s,r),i) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_597])]) ).
fof(f255366,plain,
( point_equal(sK1(s,r),h)
| ~ spl3_9
| ~ spl3_11
| spl3_120
| ~ spl3_597 ),
inference(subsumption_resolution,[],[f255365,f166]) ).
fof(f166,plain,
incident(i,s),
inference(resolution,[],[f99,f75]) ).
fof(f255365,plain,
( ~ incident(i,s)
| point_equal(sK1(s,r),h)
| ~ spl3_9
| ~ spl3_11
| spl3_120
| ~ spl3_597 ),
inference(subsumption_resolution,[],[f255323,f165]) ).
fof(f165,plain,
incident(i,r),
inference(resolution,[],[f99,f74]) ).
fof(f74,plain,
colinear(c,d,i,r),
inference(cnf_transformation,[],[f4]) ).
fof(f255323,plain,
( ~ incident(i,r)
| ~ incident(i,s)
| point_equal(sK1(s,r),h)
| ~ spl3_9
| ~ spl3_11
| spl3_120
| ~ spl3_597 ),
inference(resolution,[],[f249600,f8905]) ).
fof(f8905,plain,
( ! [X0] :
( ~ point_equal(i,X0)
| point_equal(sK1(s,r),X0) )
| ~ spl3_597 ),
inference(resolution,[],[f4233,f91]) ).
fof(f91,plain,
! [X2,X0,X1] :
( ~ point_equal(X0,X1)
| ~ point_equal(X1,X2)
| point_equal(X0,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( point_equal(X0,X2)
| ~ point_equal(X1,X2)
| ~ point_equal(X0,X1) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( point_equal(X0,X2)
| ~ point_equal(X1,X2)
| ~ point_equal(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1,X2] :
( ( point_equal(X1,X2)
& point_equal(X0,X1) )
=> point_equal(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_point_equal) ).
fof(f4233,plain,
( point_equal(sK1(s,r),i)
| ~ spl3_597 ),
inference(avatar_component_clause,[],[f4231]) ).
fof(f249600,plain,
( ! [X0] :
( point_equal(X0,h)
| ~ incident(X0,r)
| ~ incident(X0,s) )
| ~ spl3_9
| ~ spl3_11
| spl3_120 ),
inference(subsumption_resolution,[],[f249514,f1033]) ).
fof(f1033,plain,
( ~ line_equal(s,r)
| spl3_120 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f249514,plain,
( ! [X0] :
( line_equal(s,r)
| point_equal(X0,h)
| ~ incident(X0,r)
| ~ incident(X0,s) )
| ~ spl3_9
| ~ spl3_11 ),
inference(resolution,[],[f247837,f258]) ).
fof(f258,plain,
( incident(h,s)
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f247837,plain,
( ! [X0,X1] :
( ~ incident(h,X1)
| line_equal(X1,r)
| point_equal(X0,h)
| ~ incident(X0,r)
| ~ incident(X0,X1) )
| ~ spl3_9 ),
inference(resolution,[],[f245,f100]) ).
fof(f100,plain,
! [X2,X3,X0,X1] :
( ~ incident(X3,X1)
| point_equal(X2,X3)
| line_equal(X0,X1)
| ~ incident(X3,X0)
| ~ incident(X2,X1)
| ~ incident(X2,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2,X3] :
( line_equal(X0,X1)
| point_equal(X2,X3)
| ~ incident(X3,X1)
| ~ incident(X3,X0)
| ~ incident(X2,X1)
| ~ incident(X2,X0) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2,X3] :
( line_equal(X0,X1)
| point_equal(X2,X3)
| ~ incident(X3,X1)
| ~ incident(X3,X0)
| ~ incident(X2,X1)
| ~ incident(X2,X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( ( incident(X3,X1)
& incident(X3,X0)
& incident(X2,X1)
& incident(X2,X0) )
=> ( line_equal(X0,X1)
| point_equal(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique) ).
fof(f245,plain,
( incident(h,r)
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f254306,plain,
( spl3_1371
| ~ spl3_105
| ~ spl3_494 ),
inference(avatar_split_clause,[],[f254134,f3645,f946,f9334]) ).
fof(f946,plain,
( spl3_105
<=> line_equal(n,o) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_105])]) ).
fof(f3645,plain,
( spl3_494
<=> incident(sK1(s,m),n) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_494])]) ).
fof(f254134,plain,
( incident(sK1(s,m),o)
| ~ spl3_105
| ~ spl3_494 ),
inference(resolution,[],[f247875,f3646]) ).
fof(f3646,plain,
( incident(sK1(s,m),n)
| ~ spl3_494 ),
inference(avatar_component_clause,[],[f3645]) ).
fof(f247875,plain,
( ! [X0] :
( ~ incident(X0,n)
| incident(X0,o) )
| ~ spl3_105 ),
inference(resolution,[],[f948,f96]) ).
fof(f96,plain,
! [X2,X0,X1] :
( ~ line_equal(X1,X2)
| incident(X0,X2)
| ~ incident(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( incident(X0,X2)
| ~ line_equal(X1,X2)
| ~ incident(X0,X1) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( incident(X0,X2)
| ~ line_equal(X1,X2)
| ~ incident(X0,X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( line_equal(X1,X2)
& incident(X0,X1) )
=> incident(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lcon) ).
fof(f948,plain,
( line_equal(n,o)
| ~ spl3_105 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f253843,plain,
( spl3_1275
| ~ spl3_98
| ~ spl3_363 ),
inference(avatar_split_clause,[],[f253696,f2849,f908,f7949]) ).
fof(f908,plain,
( spl3_98
<=> line_equal(o,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_98])]) ).
fof(f2849,plain,
( spl3_363
<=> incident(sK1(r,o),o) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_363])]) ).
fof(f253696,plain,
( incident(sK1(r,o),n)
| ~ spl3_98
| ~ spl3_363 ),
inference(resolution,[],[f247871,f2850]) ).
fof(f2850,plain,
( incident(sK1(r,o),o)
| ~ spl3_363 ),
inference(avatar_component_clause,[],[f2849]) ).
fof(f247871,plain,
( ! [X0] :
( ~ incident(X0,o)
| incident(X0,n) )
| ~ spl3_98 ),
inference(resolution,[],[f910,f96]) ).
fof(f910,plain,
( line_equal(o,n)
| ~ spl3_98 ),
inference(avatar_component_clause,[],[f908]) ).
fof(f246215,plain,
( spl3_353
| ~ spl3_7679 ),
inference(avatar_contradiction_clause,[],[f246214]) ).
fof(f246214,plain,
( $false
| spl3_353
| ~ spl3_7679 ),
inference(subsumption_resolution,[],[f246130,f2802]) ).
fof(f2802,plain,
( ~ incident(d,o)
| spl3_353 ),
inference(avatar_component_clause,[],[f2800]) ).
fof(f2800,plain,
( spl3_353
<=> incident(d,o) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_353])]) ).
fof(f246130,plain,
( incident(d,o)
| ~ spl3_7679 ),
inference(resolution,[],[f226012,f152]) ).
fof(f152,plain,
incident(e,o),
inference(resolution,[],[f98,f71]) ).
fof(f71,plain,
colinear(c,e,g,o),
inference(cnf_transformation,[],[f2]) ).
fof(f98,plain,
! [X2,X3,X0,X1] :
( ~ colinear(X0,X1,X2,X3)
| incident(X1,X3) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2,X3] :
( incident(X1,X3)
| ~ colinear(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X2,X3] :
( colinear(X0,X1,X2,X3)
=> incident(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity_elimination2) ).
fof(f226012,plain,
( ! [X0] :
( ~ incident(e,X0)
| incident(d,X0) )
| ~ spl3_7679 ),
inference(resolution,[],[f102284,f92]) ).
fof(f102284,plain,
( point_equal(d,e)
| ~ spl3_7679 ),
inference(avatar_component_clause,[],[f102282]) ).
fof(f102282,plain,
( spl3_7679
<=> point_equal(d,e) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7679])]) ).
fof(f226015,plain,
( spl3_1766
| ~ spl3_7679 ),
inference(avatar_split_clause,[],[f226014,f102282,f18048]) ).
fof(f18048,plain,
( spl3_1766
<=> point_equal(e,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1766])]) ).
fof(f226014,plain,
( point_equal(e,d)
| ~ spl3_7679 ),
inference(resolution,[],[f102284,f85]) ).
fof(f85,plain,
! [X0,X1] :
( ~ point_equal(X0,X1)
| point_equal(X1,X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( point_equal(X1,X0)
| ~ point_equal(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( point_equal(X0,X1)
=> point_equal(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_point_equal) ).
fof(f225979,plain,
( spl3_7679
| ~ spl3_47
| ~ spl3_1446 ),
inference(avatar_split_clause,[],[f225978,f10541,f598,f102282]) ).
fof(f598,plain,
( spl3_47
<=> ! [X0] :
( point_equal(X0,e)
| ~ incident(X0,q)
| ~ incident(X0,m) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_47])]) ).
fof(f10541,plain,
( spl3_1446
<=> incident(d,q) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1446])]) ).
fof(f225978,plain,
( point_equal(d,e)
| ~ spl3_47
| ~ spl3_1446 ),
inference(subsumption_resolution,[],[f225963,f142]) ).
fof(f225963,plain,
( point_equal(d,e)
| ~ incident(d,m)
| ~ spl3_47
| ~ spl3_1446 ),
inference(resolution,[],[f10542,f599]) ).
fof(f599,plain,
( ! [X0] :
( ~ incident(X0,q)
| point_equal(X0,e)
| ~ incident(X0,m) )
| ~ spl3_47 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f10542,plain,
( incident(d,q)
| ~ spl3_1446 ),
inference(avatar_component_clause,[],[f10541]) ).
fof(f225941,plain,
( spl3_1412
| ~ spl3_13
| ~ spl3_1411 ),
inference(avatar_split_clause,[],[f225940,f9868,f368,f9872]) ).
fof(f9872,plain,
( spl3_1412
<=> point_equal(b,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1412])]) ).
fof(f368,plain,
( spl3_13
<=> ! [X0] :
( point_equal(X0,a)
| ~ incident(X0,q)
| ~ incident(X0,l) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f9868,plain,
( spl3_1411
<=> incident(b,q) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1411])]) ).
fof(f225940,plain,
( point_equal(b,a)
| ~ spl3_13
| ~ spl3_1411 ),
inference(subsumption_resolution,[],[f225927,f149]) ).
fof(f149,plain,
incident(b,l),
inference(resolution,[],[f98,f76]) ).
fof(f225927,plain,
( point_equal(b,a)
| ~ incident(b,l)
| ~ spl3_13
| ~ spl3_1411 ),
inference(resolution,[],[f9869,f369]) ).
fof(f369,plain,
( ! [X0] :
( ~ incident(X0,q)
| point_equal(X0,a)
| ~ incident(X0,l) )
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f9869,plain,
( incident(b,q)
| ~ spl3_1411 ),
inference(avatar_component_clause,[],[f9868]) ).
fof(f222897,plain,
( spl3_123
| ~ spl3_9520 ),
inference(avatar_contradiction_clause,[],[f222896]) ).
fof(f222896,plain,
( $false
| spl3_123
| ~ spl3_9520 ),
inference(subsumption_resolution,[],[f222895,f1056]) ).
fof(f1056,plain,
( ~ line_equal(r,s)
| spl3_123 ),
inference(avatar_component_clause,[],[f1055]) ).
fof(f1055,plain,
( spl3_123
<=> line_equal(r,s) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_123])]) ).
fof(f222895,plain,
( line_equal(r,s)
| ~ spl3_9520 ),
inference(resolution,[],[f115873,f74]) ).
fof(f115873,plain,
( ! [X0] :
( ~ colinear(c,d,i,X0)
| line_equal(X0,s) )
| ~ spl3_9520 ),
inference(avatar_component_clause,[],[f115872]) ).
fof(f222894,plain,
( spl3_105
| ~ spl3_9519 ),
inference(avatar_contradiction_clause,[],[f222893]) ).
fof(f222893,plain,
( $false
| spl3_105
| ~ spl3_9519 ),
inference(subsumption_resolution,[],[f222892,f947]) ).
fof(f947,plain,
( ~ line_equal(n,o)
| spl3_105 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f222892,plain,
( line_equal(n,o)
| ~ spl3_9519 ),
inference(resolution,[],[f115870,f71]) ).
fof(f115870,plain,
( ! [X1] :
( ~ colinear(c,e,g,X1)
| line_equal(n,X1) )
| ~ spl3_9519 ),
inference(avatar_component_clause,[],[f115869]) ).
fof(f212453,plain,
( ~ spl3_38
| ~ spl3_767
| spl3_2002 ),
inference(avatar_contradiction_clause,[],[f212452]) ).
fof(f212452,plain,
( $false
| ~ spl3_38
| ~ spl3_767
| spl3_2002 ),
inference(subsumption_resolution,[],[f212433,f31197]) ).
fof(f31197,plain,
( ~ incident(sK1(p,m),o)
| spl3_2002 ),
inference(avatar_component_clause,[],[f31195]) ).
fof(f31195,plain,
( spl3_2002
<=> incident(sK1(p,m),o) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2002])]) ).
fof(f212433,plain,
( incident(sK1(p,m),o)
| ~ spl3_38
| ~ spl3_767 ),
inference(resolution,[],[f63940,f34733]) ).
fof(f34733,plain,
( incident(sK1(p,m),sK0(c,d))
| ~ spl3_38 ),
inference(resolution,[],[f22761,f1465]) ).
fof(f1465,plain,
incident(d,sK0(c,d)),
inference(resolution,[],[f304,f168]) ).
fof(f168,plain,
point_equal(d,d),
inference(resolution,[],[f142,f87]) ).
fof(f304,plain,
! [X0] :
( ~ point_equal(X0,X0)
| incident(X0,sK0(c,X0)) ),
inference(resolution,[],[f172,f90]) ).
fof(f172,plain,
point_equal(c,c),
inference(resolution,[],[f144,f87]) ).
fof(f144,plain,
incident(c,o),
inference(resolution,[],[f97,f71]) ).
fof(f22761,plain,
( ! [X0] :
( ~ incident(d,X0)
| incident(sK1(p,m),X0) )
| ~ spl3_38 ),
inference(resolution,[],[f22747,f92]) ).
fof(f22747,plain,
( point_equal(sK1(p,m),d)
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f22746,f173]) ).
fof(f173,plain,
line_equal(p,p),
inference(resolution,[],[f145,f88]) ).
fof(f145,plain,
incident(b,p),
inference(resolution,[],[f97,f72]) ).
fof(f22746,plain,
( point_equal(sK1(p,m),d)
| ~ line_equal(p,p)
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f22704,f1139]) ).
fof(f1139,plain,
incident(sK1(p,m),m),
inference(resolution,[],[f278,f173]) ).
fof(f22704,plain,
( point_equal(sK1(p,m),d)
| ~ incident(sK1(p,m),m)
| ~ line_equal(p,p)
| ~ spl3_38 ),
inference(resolution,[],[f544,f279]) ).
fof(f279,plain,
! [X0] :
( incident(sK1(X0,m),X0)
| ~ line_equal(X0,X0) ),
inference(resolution,[],[f167,f94]) ).
fof(f94,plain,
! [X0,X1] :
( ~ line_equal(X1,X1)
| ~ line_equal(X0,X0)
| incident(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f544,plain,
( ! [X0] :
( ~ incident(X0,p)
| point_equal(X0,d)
| ~ incident(X0,m) )
| ~ spl3_38 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f543,plain,
( spl3_38
<=> ! [X0] :
( point_equal(X0,d)
| ~ incident(X0,p)
| ~ incident(X0,m) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_38])]) ).
fof(f63940,plain,
( ! [X0] :
( ~ incident(X0,sK0(c,d))
| incident(X0,o) )
| ~ spl3_767 ),
inference(resolution,[],[f5153,f96]) ).
fof(f5153,plain,
( line_equal(sK0(c,d),o)
| ~ spl3_767 ),
inference(avatar_component_clause,[],[f5151]) ).
fof(f5151,plain,
( spl3_767
<=> line_equal(sK0(c,d),o) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_767])]) ).
fof(f211618,plain,
( spl3_582
| ~ spl3_959 ),
inference(avatar_contradiction_clause,[],[f211617]) ).
fof(f211617,plain,
( $false
| spl3_582
| ~ spl3_959 ),
inference(subsumption_resolution,[],[f211599,f4159]) ).
fof(f4159,plain,
( ~ incident(f,r)
| spl3_582 ),
inference(avatar_component_clause,[],[f4157]) ).
fof(f4157,plain,
( spl3_582
<=> incident(f,r) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_582])]) ).
fof(f211599,plain,
( incident(f,r)
| ~ spl3_959 ),
inference(resolution,[],[f61608,f1984]) ).
fof(f1984,plain,
incident(f,sK0(f,c)),
inference(resolution,[],[f336,f172]) ).
fof(f336,plain,
! [X0] :
( ~ point_equal(X0,X0)
| incident(f,sK0(f,X0)) ),
inference(resolution,[],[f186,f89]) ).
fof(f186,plain,
point_equal(f,f),
inference(resolution,[],[f151,f87]) ).
fof(f151,plain,
incident(f,n),
inference(resolution,[],[f98,f70]) ).
fof(f61608,plain,
( ! [X0] :
( ~ incident(X0,sK0(f,c))
| incident(X0,r) )
| ~ spl3_959 ),
inference(resolution,[],[f6293,f96]) ).
fof(f6293,plain,
( line_equal(sK0(f,c),r)
| ~ spl3_959 ),
inference(avatar_component_clause,[],[f6291]) ).
fof(f6291,plain,
( spl3_959
<=> line_equal(sK0(f,c),r) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_959])]) ).
fof(f205666,plain,
( spl3_7053
| ~ spl3_431
| ~ spl3_432
| ~ spl3_1508 ),
inference(avatar_split_clause,[],[f205665,f11644,f3278,f3274,f90991]) ).
fof(f90991,plain,
( spl3_7053
<=> point_equal(d,sK1(r,o)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7053])]) ).
fof(f3274,plain,
( spl3_431
<=> incident(sK1(r,m),p) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_431])]) ).
fof(f3278,plain,
( spl3_432
<=> point_equal(sK1(r,m),d) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_432])]) ).
fof(f11644,plain,
( spl3_1508
<=> ! [X0] :
( point_equal(X0,sK1(r,o))
| ~ incident(X0,p)
| ~ incident(X0,r) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1508])]) ).
fof(f205665,plain,
( point_equal(d,sK1(r,o))
| ~ spl3_431
| ~ spl3_432
| ~ spl3_1508 ),
inference(subsumption_resolution,[],[f205664,f28314]) ).
fof(f28314,plain,
( incident(sK1(r,m),r)
| ~ spl3_432 ),
inference(resolution,[],[f7970,f155]) ).
fof(f155,plain,
incident(d,r),
inference(resolution,[],[f98,f74]) ).
fof(f7970,plain,
( ! [X0] :
( ~ incident(d,X0)
| incident(sK1(r,m),X0) )
| ~ spl3_432 ),
inference(resolution,[],[f3280,f92]) ).
fof(f3280,plain,
( point_equal(sK1(r,m),d)
| ~ spl3_432 ),
inference(avatar_component_clause,[],[f3278]) ).
fof(f205664,plain,
( point_equal(d,sK1(r,o))
| ~ incident(sK1(r,m),r)
| ~ spl3_431
| ~ spl3_432
| ~ spl3_1508 ),
inference(subsumption_resolution,[],[f179927,f3275]) ).
fof(f3275,plain,
( incident(sK1(r,m),p)
| ~ spl3_431 ),
inference(avatar_component_clause,[],[f3274]) ).
fof(f179927,plain,
( point_equal(d,sK1(r,o))
| ~ incident(sK1(r,m),p)
| ~ incident(sK1(r,m),r)
| ~ spl3_432
| ~ spl3_1508 ),
inference(resolution,[],[f16711,f11645]) ).
fof(f11645,plain,
( ! [X0] :
( point_equal(X0,sK1(r,o))
| ~ incident(X0,p)
| ~ incident(X0,r) )
| ~ spl3_1508 ),
inference(avatar_component_clause,[],[f11644]) ).
fof(f16711,plain,
( ! [X0] :
( ~ point_equal(sK1(r,m),X0)
| point_equal(d,X0) )
| ~ spl3_432 ),
inference(resolution,[],[f7972,f91]) ).
fof(f7972,plain,
( point_equal(d,sK1(r,m))
| ~ spl3_432 ),
inference(resolution,[],[f3280,f85]) ).
fof(f205637,plain,
( spl3_434
| ~ spl3_1435 ),
inference(avatar_split_clause,[],[f192501,f10326,f3290]) ).
fof(f3290,plain,
( spl3_434
<=> incident(sK1(r,o),p) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_434])]) ).
fof(f192501,plain,
( incident(sK1(r,o),p)
| ~ spl3_1435 ),
inference(resolution,[],[f17480,f145]) ).
fof(f17480,plain,
( ! [X0] :
( ~ incident(b,X0)
| incident(sK1(r,o),X0) )
| ~ spl3_1435 ),
inference(resolution,[],[f10328,f92]) ).
fof(f10328,plain,
( point_equal(sK1(r,o),b)
| ~ spl3_1435 ),
inference(avatar_component_clause,[],[f10326]) ).
fof(f205635,plain,
( spl3_418
| ~ spl3_7053 ),
inference(avatar_split_clause,[],[f93954,f90991,f3197]) ).
fof(f3197,plain,
( spl3_418
<=> point_equal(sK1(r,o),d) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_418])]) ).
fof(f93954,plain,
( point_equal(sK1(r,o),d)
| ~ spl3_7053 ),
inference(resolution,[],[f90992,f85]) ).
fof(f90992,plain,
( point_equal(d,sK1(r,o))
| ~ spl3_7053 ),
inference(avatar_component_clause,[],[f90991]) ).
fof(f205621,plain,
( spl3_7
| ~ spl3_364
| ~ spl3_417 ),
inference(avatar_contradiction_clause,[],[f205620]) ).
fof(f205620,plain,
( $false
| spl3_7
| ~ spl3_364
| ~ spl3_417 ),
inference(subsumption_resolution,[],[f205583,f134]) ).
fof(f134,plain,
( ~ incident(c,m)
| spl3_7 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl3_7
<=> incident(c,m) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f205583,plain,
( incident(c,m)
| ~ spl3_364
| ~ spl3_417 ),
inference(resolution,[],[f36153,f3194]) ).
fof(f3194,plain,
( incident(sK1(r,o),m)
| ~ spl3_417 ),
inference(avatar_component_clause,[],[f3193]) ).
fof(f3193,plain,
( spl3_417
<=> incident(sK1(r,o),m) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_417])]) ).
fof(f36153,plain,
( ! [X0] :
( ~ incident(sK1(r,o),X0)
| incident(c,X0) )
| ~ spl3_364 ),
inference(resolution,[],[f35913,f92]) ).
fof(f35913,plain,
( point_equal(c,sK1(r,o))
| ~ spl3_364 ),
inference(resolution,[],[f2855,f85]) ).
fof(f2855,plain,
( point_equal(sK1(r,o),c)
| ~ spl3_364 ),
inference(avatar_component_clause,[],[f2853]) ).
fof(f2853,plain,
( spl3_364
<=> point_equal(sK1(r,o),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_364])]) ).
fof(f195942,plain,
( ~ spl3_38
| ~ spl3_2003
| spl3_7679 ),
inference(avatar_contradiction_clause,[],[f195941]) ).
fof(f195941,plain,
( $false
| ~ spl3_38
| ~ spl3_2003
| spl3_7679 ),
inference(subsumption_resolution,[],[f195843,f102283]) ).
fof(f102283,plain,
( ~ point_equal(d,e)
| spl3_7679 ),
inference(avatar_component_clause,[],[f102282]) ).
fof(f195843,plain,
( point_equal(d,e)
| ~ spl3_38
| ~ spl3_2003 ),
inference(resolution,[],[f23076,f31201]) ).
fof(f31201,plain,
( point_equal(sK1(p,m),e)
| ~ spl3_2003 ),
inference(avatar_component_clause,[],[f31199]) ).
fof(f31199,plain,
( spl3_2003
<=> point_equal(sK1(p,m),e) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2003])]) ).
fof(f23076,plain,
( ! [X0] :
( ~ point_equal(sK1(p,m),X0)
| point_equal(d,X0) )
| ~ spl3_38 ),
inference(resolution,[],[f22763,f91]) ).
fof(f22763,plain,
( point_equal(d,sK1(p,m))
| ~ spl3_38 ),
inference(resolution,[],[f22747,f85]) ).
fof(f191043,plain,
( ~ spl3_597
| ~ spl3_1390
| spl3_1677 ),
inference(avatar_contradiction_clause,[],[f191042]) ).
fof(f191042,plain,
( $false
| ~ spl3_597
| ~ spl3_1390
| spl3_1677 ),
inference(subsumption_resolution,[],[f190918,f15244]) ).
fof(f15244,plain,
( ~ point_equal(i,h)
| spl3_1677 ),
inference(avatar_component_clause,[],[f15243]) ).
fof(f190918,plain,
( point_equal(i,h)
| ~ spl3_597
| ~ spl3_1390 ),
inference(resolution,[],[f17294,f9607]) ).
fof(f9607,plain,
( point_equal(sK1(s,r),h)
| ~ spl3_1390 ),
inference(avatar_component_clause,[],[f9605]) ).
fof(f17294,plain,
( ! [X0] :
( ~ point_equal(sK1(s,r),X0)
| point_equal(i,X0) )
| ~ spl3_597 ),
inference(resolution,[],[f8906,f91]) ).
fof(f8906,plain,
( point_equal(i,sK1(s,r))
| ~ spl3_597 ),
inference(resolution,[],[f4233,f85]) ).
fof(f181430,plain,
( ~ spl3_495
| spl3_1357
| ~ spl3_1372 ),
inference(avatar_contradiction_clause,[],[f181429]) ).
fof(f181429,plain,
( $false
| ~ spl3_495
| spl3_1357
| ~ spl3_1372 ),
inference(subsumption_resolution,[],[f181288,f9156]) ).
fof(f9156,plain,
( ~ point_equal(f,e)
| spl3_1357 ),
inference(avatar_component_clause,[],[f9155]) ).
fof(f9155,plain,
( spl3_1357
<=> point_equal(f,e) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1357])]) ).
fof(f181288,plain,
( point_equal(f,e)
| ~ spl3_495
| ~ spl3_1372 ),
inference(resolution,[],[f16739,f9340]) ).
fof(f9340,plain,
( point_equal(sK1(s,m),e)
| ~ spl3_1372 ),
inference(avatar_component_clause,[],[f9338]) ).
fof(f16739,plain,
( ! [X0] :
( ~ point_equal(sK1(s,m),X0)
| point_equal(f,X0) )
| ~ spl3_495 ),
inference(resolution,[],[f8011,f91]) ).
fof(f8011,plain,
( point_equal(f,sK1(s,m))
| ~ spl3_495 ),
inference(resolution,[],[f3651,f85]) ).
fof(f3651,plain,
( point_equal(sK1(s,m),f)
| ~ spl3_495 ),
inference(avatar_component_clause,[],[f3649]) ).
fof(f3649,plain,
( spl3_495
<=> point_equal(sK1(s,m),f) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_495])]) ).
fof(f180345,plain,
( ~ spl3_18
| ~ spl3_2490
| spl3_2491 ),
inference(avatar_contradiction_clause,[],[f180344]) ).
fof(f180344,plain,
( $false
| ~ spl3_18
| ~ spl3_2490
| spl3_2491 ),
inference(subsumption_resolution,[],[f180343,f154]) ).
fof(f154,plain,
incident(e,q),
inference(resolution,[],[f98,f73]) ).
fof(f73,plain,
colinear(a,e,h,q),
inference(cnf_transformation,[],[f3]) ).
fof(f180343,plain,
( ~ incident(e,q)
| ~ spl3_18
| ~ spl3_2490
| spl3_2491 ),
inference(subsumption_resolution,[],[f180323,f42887]) ).
fof(f42887,plain,
( ~ point_equal(e,a)
| spl3_2491 ),
inference(avatar_component_clause,[],[f42886]) ).
fof(f42886,plain,
( spl3_2491
<=> point_equal(e,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2491])]) ).
fof(f180323,plain,
( point_equal(e,a)
| ~ incident(e,q)
| ~ spl3_18
| ~ spl3_2490 ),
inference(resolution,[],[f42883,f397]) ).
fof(f397,plain,
( ! [X0] :
( ~ incident(X0,s)
| point_equal(X0,a)
| ~ incident(X0,q) )
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f396,plain,
( spl3_18
<=> ! [X0] :
( point_equal(X0,a)
| ~ incident(X0,s)
| ~ incident(X0,q) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f42883,plain,
( incident(e,s)
| ~ spl3_2490 ),
inference(avatar_component_clause,[],[f42882]) ).
fof(f42882,plain,
( spl3_2490
<=> incident(e,s) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2490])]) ).
fof(f175369,plain,
( ~ spl3_1386
| spl3_2490 ),
inference(avatar_contradiction_clause,[],[f175368]) ).
fof(f175368,plain,
( $false
| ~ spl3_1386
| spl3_2490 ),
inference(subsumption_resolution,[],[f175221,f42884]) ).
fof(f42884,plain,
( ~ incident(e,s)
| spl3_2490 ),
inference(avatar_component_clause,[],[f42882]) ).
fof(f175221,plain,
( incident(e,s)
| ~ spl3_1386 ),
inference(resolution,[],[f174807,f152]) ).
fof(f174807,plain,
( ! [X0] :
( ~ incident(X0,o)
| incident(X0,s) )
| ~ spl3_1386 ),
inference(resolution,[],[f9546,f96]) ).
fof(f9546,plain,
( line_equal(o,s)
| ~ spl3_1386 ),
inference(avatar_component_clause,[],[f9544]) ).
fof(f9544,plain,
( spl3_1386
<=> line_equal(o,s) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1386])]) ).
fof(f135637,plain,
( spl3_494
| ~ spl3_495 ),
inference(avatar_split_clause,[],[f28564,f3649,f3645]) ).
fof(f28564,plain,
( incident(sK1(s,m),n)
| ~ spl3_495 ),
inference(resolution,[],[f8009,f151]) ).
fof(f8009,plain,
( ! [X0] :
( ~ incident(f,X0)
| incident(sK1(s,m),X0) )
| ~ spl3_495 ),
inference(resolution,[],[f3651,f92]) ).
fof(f101227,plain,
( spl3_476
| ~ spl3_2491 ),
inference(avatar_contradiction_clause,[],[f101226]) ).
fof(f101226,plain,
( $false
| spl3_476
| ~ spl3_2491 ),
inference(subsumption_resolution,[],[f101225,f3540]) ).
fof(f3540,plain,
( ~ point_equal(a,e)
| spl3_476 ),
inference(avatar_component_clause,[],[f3539]) ).
fof(f3539,plain,
( spl3_476
<=> point_equal(a,e) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_476])]) ).
fof(f101225,plain,
( point_equal(a,e)
| ~ spl3_2491 ),
inference(resolution,[],[f42888,f85]) ).
fof(f42888,plain,
( point_equal(e,a)
| ~ spl3_2491 ),
inference(avatar_component_clause,[],[f42886]) ).
fof(f91132,plain,
( spl3_6845
| ~ spl3_6847 ),
inference(avatar_split_clause,[],[f87308,f86810,f86798]) ).
fof(f86798,plain,
( spl3_6845
<=> point_equal(a,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6845])]) ).
fof(f86810,plain,
( spl3_6847
<=> point_equal(c,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6847])]) ).
fof(f87308,plain,
( point_equal(a,c)
| ~ spl3_6847 ),
inference(resolution,[],[f86812,f85]) ).
fof(f86812,plain,
( point_equal(c,a)
| ~ spl3_6847 ),
inference(avatar_component_clause,[],[f86810]) ).
fof(f90938,plain,
( spl3_475
| ~ spl3_6845 ),
inference(avatar_contradiction_clause,[],[f90937]) ).
fof(f90937,plain,
( $false
| spl3_475
| ~ spl3_6845 ),
inference(subsumption_resolution,[],[f90917,f3537]) ).
fof(f3537,plain,
( ~ incident(a,o)
| spl3_475 ),
inference(avatar_component_clause,[],[f3535]) ).
fof(f3535,plain,
( spl3_475
<=> incident(a,o) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_475])]) ).
fof(f90917,plain,
( incident(a,o)
| ~ spl3_6845 ),
inference(resolution,[],[f87299,f144]) ).
fof(f87299,plain,
( ! [X0] :
( ~ incident(c,X0)
| incident(a,X0) )
| ~ spl3_6845 ),
inference(resolution,[],[f86800,f92]) ).
fof(f86800,plain,
( point_equal(a,c)
| ~ spl3_6845 ),
inference(avatar_component_clause,[],[f86798]) ).
fof(f86822,plain,
( spl3_6845
| ~ spl3_36
| ~ spl3_580 ),
inference(avatar_split_clause,[],[f86821,f4148,f521,f86798]) ).
fof(f521,plain,
( spl3_36
<=> ! [X0] :
( point_equal(X0,c)
| ~ incident(X0,l)
| ~ incident(X0,r) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_36])]) ).
fof(f4148,plain,
( spl3_580
<=> incident(a,r) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_580])]) ).
fof(f86821,plain,
( point_equal(a,c)
| ~ spl3_36
| ~ spl3_580 ),
inference(subsumption_resolution,[],[f50205,f141]) ).
fof(f141,plain,
incident(a,l),
inference(resolution,[],[f97,f76]) ).
fof(f50205,plain,
( ~ incident(a,l)
| point_equal(a,c)
| ~ spl3_36
| ~ spl3_580 ),
inference(resolution,[],[f4149,f522]) ).
fof(f522,plain,
( ! [X0] :
( ~ incident(X0,r)
| ~ incident(X0,l)
| point_equal(X0,c) )
| ~ spl3_36 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f4149,plain,
( incident(a,r)
| ~ spl3_580 ),
inference(avatar_component_clause,[],[f4148]) ).
fof(f86820,plain,
( spl3_6847
| ~ spl3_15
| ~ spl3_123 ),
inference(avatar_split_clause,[],[f86819,f1055,f376,f86810]) ).
fof(f376,plain,
( spl3_15
<=> ! [X0] :
( point_equal(X0,a)
| ~ incident(X0,s)
| ~ incident(X0,l) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f86819,plain,
( point_equal(c,a)
| ~ spl3_15
| ~ spl3_123 ),
inference(subsumption_resolution,[],[f50502,f159]) ).
fof(f159,plain,
incident(c,l),
inference(resolution,[],[f99,f76]) ).
fof(f50502,plain,
( point_equal(c,a)
| ~ incident(c,l)
| ~ spl3_15
| ~ spl3_123 ),
inference(resolution,[],[f50406,f377]) ).
fof(f377,plain,
( ! [X0] :
( ~ incident(X0,s)
| point_equal(X0,a)
| ~ incident(X0,l) )
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f50406,plain,
( incident(c,s)
| ~ spl3_123 ),
inference(resolution,[],[f50200,f147]) ).
fof(f147,plain,
incident(c,r),
inference(resolution,[],[f97,f74]) ).
fof(f50200,plain,
( ! [X0] :
( ~ incident(X0,r)
| incident(X0,s) )
| ~ spl3_123 ),
inference(resolution,[],[f1057,f96]) ).
fof(f1057,plain,
( line_equal(r,s)
| ~ spl3_123 ),
inference(avatar_component_clause,[],[f1055]) ).
fof(f86109,plain,
( ~ spl3_8
| ~ spl3_110
| ~ spl3_1459
| ~ spl3_1880 ),
inference(avatar_contradiction_clause,[],[f86108]) ).
fof(f86108,plain,
( $false
| ~ spl3_8
| ~ spl3_110
| ~ spl3_1459
| ~ spl3_1880 ),
inference(subsumption_resolution,[],[f86101,f7920]) ).
fof(f7920,plain,
( ~ incident(g,sK0(i,h))
| ~ spl3_8 ),
inference(subsumption_resolution,[],[f7900,f2188]) ).
fof(f2188,plain,
incident(h,sK0(i,h)),
inference(resolution,[],[f350,f235]) ).
fof(f350,plain,
! [X0] :
( ~ point_equal(X0,X0)
| incident(X0,sK0(i,X0)) ),
inference(resolution,[],[f242,f90]) ).
fof(f242,plain,
point_equal(i,i),
inference(resolution,[],[f165,f87]) ).
fof(f7900,plain,
( ~ incident(g,sK0(i,h))
| ~ incident(h,sK0(i,h))
| ~ spl3_8 ),
inference(resolution,[],[f2211,f138]) ).
fof(f2211,plain,
incident(i,sK0(i,h)),
inference(resolution,[],[f351,f235]) ).
fof(f351,plain,
! [X0] :
( ~ point_equal(X0,X0)
| incident(i,sK0(i,X0)) ),
inference(resolution,[],[f242,f89]) ).
fof(f86101,plain,
( incident(g,sK0(i,h))
| ~ spl3_110
| ~ spl3_1459
| ~ spl3_1880 ),
inference(resolution,[],[f85766,f2188]) ).
fof(f85766,plain,
( ! [X0] :
( ~ incident(h,X0)
| incident(g,X0) )
| ~ spl3_110
| ~ spl3_1459
| ~ spl3_1880 ),
inference(resolution,[],[f85759,f92]) ).
fof(f85759,plain,
( point_equal(g,h)
| ~ spl3_110
| ~ spl3_1459
| ~ spl3_1880 ),
inference(subsumption_resolution,[],[f36711,f23875]) ).
fof(f23875,plain,
( incident(g,p)
| ~ spl3_1880 ),
inference(avatar_component_clause,[],[f23874]) ).
fof(f23874,plain,
( spl3_1880
<=> incident(g,p) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1880])]) ).
fof(f36711,plain,
( point_equal(g,h)
| ~ incident(g,p)
| ~ spl3_110
| ~ spl3_1459 ),
inference(resolution,[],[f11039,f980]) ).
fof(f980,plain,
( ! [X0] :
( ~ incident(X0,q)
| point_equal(X0,h)
| ~ incident(X0,p) )
| ~ spl3_110 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f979,plain,
( spl3_110
<=> ! [X0] :
( point_equal(X0,h)
| ~ incident(X0,q)
| ~ incident(X0,p) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_110])]) ).
fof(f11039,plain,
( incident(g,q)
| ~ spl3_1459 ),
inference(avatar_component_clause,[],[f11038]) ).
fof(f11038,plain,
( spl3_1459
<=> incident(g,q) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1459])]) ).
fof(f74332,plain,
( spl3_1880
| ~ spl3_26 ),
inference(avatar_split_clause,[],[f74190,f454,f23874]) ).
fof(f454,plain,
( spl3_26
<=> line_equal(n,p) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_26])]) ).
fof(f74190,plain,
( incident(g,p)
| ~ spl3_26 ),
inference(resolution,[],[f73914,f161]) ).
fof(f73914,plain,
( ! [X0] :
( ~ incident(X0,n)
| incident(X0,p) )
| ~ spl3_26 ),
inference(resolution,[],[f456,f96]) ).
fof(f456,plain,
( line_equal(n,p)
| ~ spl3_26 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f73887,plain,
( spl3_431
| ~ spl3_432 ),
inference(avatar_split_clause,[],[f28312,f3278,f3274]) ).
fof(f28312,plain,
( incident(sK1(r,m),p)
| ~ spl3_432 ),
inference(resolution,[],[f7970,f153]) ).
fof(f153,plain,
incident(d,p),
inference(resolution,[],[f98,f72]) ).
fof(f73818,plain,
( spl3_6
| ~ spl3_22
| ~ spl3_1358 ),
inference(avatar_contradiction_clause,[],[f73817]) ).
fof(f73817,plain,
( $false
| spl3_6
| ~ spl3_22
| ~ spl3_1358 ),
inference(subsumption_resolution,[],[f73797,f129]) ).
fof(f129,plain,
( ~ incident(f,l)
| spl3_6 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl3_6
<=> incident(f,l) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f73797,plain,
( incident(f,l)
| ~ spl3_22
| ~ spl3_1358 ),
inference(resolution,[],[f50321,f149]) ).
fof(f50321,plain,
( ! [X0] :
( ~ incident(b,X0)
| incident(f,X0) )
| ~ spl3_22
| ~ spl3_1358 ),
inference(resolution,[],[f50264,f92]) ).
fof(f50264,plain,
( point_equal(f,b)
| ~ spl3_22
| ~ spl3_1358 ),
inference(subsumption_resolution,[],[f50247,f151]) ).
fof(f50247,plain,
( point_equal(f,b)
| ~ incident(f,n)
| ~ spl3_22
| ~ spl3_1358 ),
inference(resolution,[],[f9161,f429]) ).
fof(f429,plain,
( ! [X0] :
( ~ incident(X0,p)
| point_equal(X0,b)
| ~ incident(X0,n) )
| ~ spl3_22 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f428,plain,
( spl3_22
<=> ! [X0] :
( point_equal(X0,b)
| ~ incident(X0,p)
| ~ incident(X0,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).
fof(f9161,plain,
( incident(f,p)
| ~ spl3_1358 ),
inference(avatar_component_clause,[],[f9160]) ).
fof(f9160,plain,
( spl3_1358
<=> incident(f,p) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1358])]) ).
fof(f63280,plain,
( ~ spl3_33
| ~ spl3_475
| spl3_489
| ~ spl3_1006 ),
inference(avatar_contradiction_clause,[],[f63279]) ).
fof(f63279,plain,
( $false
| ~ spl3_33
| ~ spl3_475
| spl3_489
| ~ spl3_1006 ),
inference(subsumption_resolution,[],[f63278,f148]) ).
fof(f63278,plain,
( ~ incident(a,s)
| ~ spl3_33
| ~ spl3_475
| spl3_489
| ~ spl3_1006 ),
inference(subsumption_resolution,[],[f63259,f3621]) ).
fof(f3621,plain,
( ~ point_equal(a,f)
| spl3_489 ),
inference(avatar_component_clause,[],[f3620]) ).
fof(f3620,plain,
( spl3_489
<=> point_equal(a,f) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_489])]) ).
fof(f63259,plain,
( point_equal(a,f)
| ~ incident(a,s)
| ~ spl3_33
| ~ spl3_475
| ~ spl3_1006 ),
inference(resolution,[],[f6534,f50171]) ).
fof(f50171,plain,
( incident(a,sK0(f,c))
| ~ spl3_33
| ~ spl3_475 ),
inference(resolution,[],[f36544,f1941]) ).
fof(f1941,plain,
incident(c,sK0(f,c)),
inference(resolution,[],[f335,f172]) ).
fof(f335,plain,
! [X0] :
( ~ point_equal(X0,X0)
| incident(X0,sK0(f,X0)) ),
inference(resolution,[],[f186,f90]) ).
fof(f36544,plain,
( ! [X0] :
( ~ incident(c,X0)
| incident(a,X0) )
| ~ spl3_33
| ~ spl3_475 ),
inference(resolution,[],[f36516,f92]) ).
fof(f36516,plain,
( point_equal(a,c)
| ~ spl3_33
| ~ spl3_475 ),
inference(subsumption_resolution,[],[f36500,f141]) ).
fof(f36500,plain,
( ~ incident(a,l)
| point_equal(a,c)
| ~ spl3_33
| ~ spl3_475 ),
inference(resolution,[],[f3536,f500]) ).
fof(f500,plain,
( ! [X0] :
( ~ incident(X0,o)
| ~ incident(X0,l)
| point_equal(X0,c) )
| ~ spl3_33 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f499,plain,
( spl3_33
<=> ! [X0] :
( point_equal(X0,c)
| ~ incident(X0,l)
| ~ incident(X0,o) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_33])]) ).
fof(f3536,plain,
( incident(a,o)
| ~ spl3_475 ),
inference(avatar_component_clause,[],[f3535]) ).
fof(f6534,plain,
( ! [X0] :
( ~ incident(X0,sK0(f,c))
| point_equal(X0,f)
| ~ incident(X0,s) )
| ~ spl3_1006 ),
inference(avatar_component_clause,[],[f6533]) ).
fof(f6533,plain,
( spl3_1006
<=> ! [X0] :
( point_equal(X0,f)
| ~ incident(X0,sK0(f,c))
| ~ incident(X0,s) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1006])]) ).
fof(f61607,plain,
( spl3_959
| ~ spl3_123
| ~ spl3_1007 ),
inference(avatar_split_clause,[],[f61606,f6536,f1055,f6291]) ).
fof(f6536,plain,
( spl3_1007
<=> line_equal(sK0(f,c),s) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1007])]) ).
fof(f61606,plain,
( line_equal(sK0(f,c),r)
| ~ spl3_123
| ~ spl3_1007 ),
inference(resolution,[],[f55288,f86]) ).
fof(f86,plain,
! [X0,X1] :
( ~ line_equal(X0,X1)
| line_equal(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( line_equal(X1,X0)
| ~ line_equal(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1] :
( line_equal(X0,X1)
=> line_equal(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_line_equal) ).
fof(f55288,plain,
( line_equal(r,sK0(f,c))
| ~ spl3_123
| ~ spl3_1007 ),
inference(resolution,[],[f55118,f50201]) ).
fof(f50201,plain,
( ! [X0] :
( ~ line_equal(s,X0)
| line_equal(r,X0) )
| ~ spl3_123 ),
inference(resolution,[],[f1057,f93]) ).
fof(f93,plain,
! [X2,X0,X1] :
( ~ line_equal(X0,X1)
| ~ line_equal(X1,X2)
| line_equal(X0,X2) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( line_equal(X0,X2)
| ~ line_equal(X1,X2)
| ~ line_equal(X0,X1) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( line_equal(X0,X2)
| ~ line_equal(X1,X2)
| ~ line_equal(X0,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,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(f55118,plain,
( line_equal(s,sK0(f,c))
| ~ spl3_1007 ),
inference(resolution,[],[f6538,f86]) ).
fof(f6538,plain,
( line_equal(sK0(f,c),s)
| ~ spl3_1007 ),
inference(avatar_component_clause,[],[f6536]) ).
fof(f55439,plain,
( spl3_354
| ~ spl3_765 ),
inference(avatar_contradiction_clause,[],[f55438]) ).
fof(f55438,plain,
( $false
| spl3_354
| ~ spl3_765 ),
inference(subsumption_resolution,[],[f55437,f155]) ).
fof(f55437,plain,
( ~ incident(d,r)
| spl3_354
| ~ spl3_765 ),
inference(subsumption_resolution,[],[f55420,f2805]) ).
fof(f2805,plain,
( ~ point_equal(d,c)
| spl3_354 ),
inference(avatar_component_clause,[],[f2804]) ).
fof(f2804,plain,
( spl3_354
<=> point_equal(d,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_354])]) ).
fof(f55420,plain,
( point_equal(d,c)
| ~ incident(d,r)
| ~ spl3_765 ),
inference(resolution,[],[f5145,f1465]) ).
fof(f5145,plain,
( ! [X0] :
( ~ incident(X0,sK0(c,d))
| point_equal(X0,c)
| ~ incident(X0,r) )
| ~ spl3_765 ),
inference(avatar_component_clause,[],[f5144]) ).
fof(f5144,plain,
( spl3_765
<=> ! [X0] :
( point_equal(X0,c)
| ~ incident(X0,sK0(c,d))
| ~ incident(X0,r) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_765])]) ).
fof(f50244,plain,
( spl3_1632
| ~ spl3_40
| ~ spl3_582 ),
inference(avatar_split_clause,[],[f50243,f4157,f551,f14446]) ).
fof(f14446,plain,
( spl3_1632
<=> point_equal(f,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1632])]) ).
fof(f551,plain,
( spl3_40
<=> ! [X0] :
( point_equal(X0,d)
| ~ incident(X0,r)
| ~ incident(X0,m) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_40])]) ).
fof(f50243,plain,
( point_equal(f,d)
| ~ spl3_40
| ~ spl3_582 ),
inference(subsumption_resolution,[],[f50228,f160]) ).
fof(f160,plain,
incident(f,m),
inference(resolution,[],[f99,f77]) ).
fof(f50228,plain,
( point_equal(f,d)
| ~ incident(f,m)
| ~ spl3_40
| ~ spl3_582 ),
inference(resolution,[],[f4158,f552]) ).
fof(f552,plain,
( ! [X0] :
( ~ incident(X0,r)
| point_equal(X0,d)
| ~ incident(X0,m) )
| ~ spl3_40 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f4158,plain,
( incident(f,r)
| ~ spl3_582 ),
inference(avatar_component_clause,[],[f4157]) ).
fof(f50183,plain,
( spl3_580
| ~ spl3_33
| ~ spl3_475 ),
inference(avatar_split_clause,[],[f50163,f3535,f499,f4148]) ).
fof(f50163,plain,
( incident(a,r)
| ~ spl3_33
| ~ spl3_475 ),
inference(resolution,[],[f36544,f147]) ).
fof(f39463,plain,
( spl3_489
| ~ spl3_1668 ),
inference(avatar_contradiction_clause,[],[f39462]) ).
fof(f39462,plain,
( $false
| spl3_489
| ~ spl3_1668 ),
inference(subsumption_resolution,[],[f39461,f3621]) ).
fof(f39461,plain,
( point_equal(a,f)
| ~ spl3_1668 ),
inference(subsumption_resolution,[],[f39424,f146]) ).
fof(f146,plain,
incident(a,q),
inference(resolution,[],[f97,f73]) ).
fof(f39424,plain,
( ~ incident(a,q)
| point_equal(a,f)
| ~ spl3_1668 ),
inference(resolution,[],[f15082,f148]) ).
fof(f15082,plain,
( ! [X0] :
( ~ incident(X0,s)
| ~ incident(X0,q)
| point_equal(X0,f) )
| ~ spl3_1668 ),
inference(avatar_component_clause,[],[f15081]) ).
fof(f15081,plain,
( spl3_1668
<=> ! [X0] :
( point_equal(X0,f)
| ~ incident(X0,q)
| ~ incident(X0,s) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1668])]) ).
fof(f39362,plain,
( spl3_293
| ~ spl3_1644 ),
inference(avatar_contradiction_clause,[],[f39361]) ).
fof(f39361,plain,
( $false
| spl3_293
| ~ spl3_1644 ),
inference(subsumption_resolution,[],[f39360,f2425]) ).
fof(f2425,plain,
( ~ point_equal(f,a)
| spl3_293 ),
inference(avatar_component_clause,[],[f2424]) ).
fof(f2424,plain,
( spl3_293
<=> point_equal(f,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_293])]) ).
fof(f39360,plain,
( point_equal(f,a)
| ~ spl3_1644 ),
inference(subsumption_resolution,[],[f39324,f151]) ).
fof(f39324,plain,
( ~ incident(f,n)
| point_equal(f,a)
| ~ spl3_1644 ),
inference(resolution,[],[f14750,f156]) ).
fof(f156,plain,
incident(f,s),
inference(resolution,[],[f98,f75]) ).
fof(f14750,plain,
( ! [X0] :
( ~ incident(X0,s)
| ~ incident(X0,n)
| point_equal(X0,a) )
| ~ spl3_1644 ),
inference(avatar_component_clause,[],[f14749]) ).
fof(f14749,plain,
( spl3_1644
<=> ! [X0] :
( point_equal(X0,a)
| ~ incident(X0,n)
| ~ incident(X0,s) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1644])]) ).
fof(f38862,plain,
( spl3_277
| ~ spl3_1602 ),
inference(avatar_contradiction_clause,[],[f38861]) ).
fof(f38861,plain,
( $false
| spl3_277
| ~ spl3_1602 ),
inference(subsumption_resolution,[],[f38860,f2333]) ).
fof(f2333,plain,
( ~ point_equal(i,a)
| spl3_277 ),
inference(avatar_component_clause,[],[f2332]) ).
fof(f2332,plain,
( spl3_277
<=> point_equal(i,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_277])]) ).
fof(f38860,plain,
( point_equal(i,a)
| ~ spl3_1602 ),
inference(subsumption_resolution,[],[f38824,f165]) ).
fof(f38824,plain,
( ~ incident(i,r)
| point_equal(i,a)
| ~ spl3_1602 ),
inference(resolution,[],[f13098,f166]) ).
fof(f13098,plain,
( ! [X0] :
( ~ incident(X0,s)
| ~ incident(X0,r)
| point_equal(X0,a) )
| ~ spl3_1602 ),
inference(avatar_component_clause,[],[f13097]) ).
fof(f13097,plain,
( spl3_1602
<=> ! [X0] :
( point_equal(X0,a)
| ~ incident(X0,r)
| ~ incident(X0,s) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1602])]) ).
fof(f38687,plain,
( spl3_478
| ~ spl3_1582 ),
inference(avatar_contradiction_clause,[],[f38686]) ).
fof(f38686,plain,
( $false
| spl3_478
| ~ spl3_1582 ),
inference(subsumption_resolution,[],[f38685,f164]) ).
fof(f164,plain,
incident(h,q),
inference(resolution,[],[f99,f73]) ).
fof(f38685,plain,
( ~ incident(h,q)
| spl3_478
| ~ spl3_1582 ),
inference(subsumption_resolution,[],[f38676,f163]) ).
fof(f38676,plain,
( ~ incident(h,p)
| ~ incident(h,q)
| spl3_478
| ~ spl3_1582 ),
inference(resolution,[],[f12434,f3549]) ).
fof(f3549,plain,
( ~ point_equal(h,e)
| spl3_478 ),
inference(avatar_component_clause,[],[f3548]) ).
fof(f3548,plain,
( spl3_478
<=> point_equal(h,e) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_478])]) ).
fof(f12434,plain,
( ! [X0] :
( point_equal(X0,e)
| ~ incident(X0,p)
| ~ incident(X0,q) )
| ~ spl3_1582 ),
inference(avatar_component_clause,[],[f12433]) ).
fof(f12433,plain,
( spl3_1582
<=> ! [X0] :
( point_equal(X0,e)
| ~ incident(X0,p)
| ~ incident(X0,q) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1582])]) ).
fof(f36703,plain,
( spl3_1459
| ~ spl3_53 ),
inference(avatar_split_clause,[],[f36633,f647,f11038]) ).
fof(f647,plain,
( spl3_53
<=> line_equal(o,q) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_53])]) ).
fof(f36633,plain,
( incident(g,q)
| ~ spl3_53 ),
inference(resolution,[],[f36495,f162]) ).
fof(f162,plain,
incident(g,o),
inference(resolution,[],[f99,f71]) ).
fof(f36495,plain,
( ! [X0] :
( ~ incident(X0,o)
| incident(X0,q) )
| ~ spl3_53 ),
inference(resolution,[],[f649,f96]) ).
fof(f649,plain,
( line_equal(o,q)
| ~ spl3_53 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f35904,plain,
( spl3_1582
| spl3_116
| ~ spl3_562 ),
inference(avatar_split_clause,[],[f35903,f4048,f1012,f12433]) ).
fof(f1012,plain,
( spl3_116
<=> line_equal(p,q) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_116])]) ).
fof(f4048,plain,
( spl3_562
<=> incident(e,p) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_562])]) ).
fof(f35903,plain,
( ! [X0] :
( point_equal(X0,e)
| ~ incident(X0,q)
| ~ incident(X0,p) )
| spl3_116
| ~ spl3_562 ),
inference(subsumption_resolution,[],[f35885,f1013]) ).
fof(f1013,plain,
( ~ line_equal(p,q)
| spl3_116 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f35885,plain,
( ! [X0] :
( line_equal(p,q)
| point_equal(X0,e)
| ~ incident(X0,q)
| ~ incident(X0,p) )
| ~ spl3_562 ),
inference(resolution,[],[f4049,f205]) ).
fof(f205,plain,
! [X0,X1] :
( ~ incident(e,X1)
| line_equal(X1,q)
| point_equal(X0,e)
| ~ incident(X0,q)
| ~ incident(X0,X1) ),
inference(resolution,[],[f100,f154]) ).
fof(f4049,plain,
( incident(e,p)
| ~ spl3_562 ),
inference(avatar_component_clause,[],[f4048]) ).
fof(f35719,plain,
( spl3_364
| ~ spl3_31
| ~ spl3_363 ),
inference(avatar_split_clause,[],[f35718,f2849,f491,f2853]) ).
fof(f491,plain,
( spl3_31
<=> ! [X0] :
( point_equal(X0,c)
| ~ incident(X0,r)
| ~ incident(X0,o) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_31])]) ).
fof(f35718,plain,
( point_equal(sK1(r,o),c)
| ~ spl3_31
| ~ spl3_363 ),
inference(subsumption_resolution,[],[f35717,f177]) ).
fof(f177,plain,
line_equal(r,r),
inference(resolution,[],[f147,f88]) ).
fof(f35717,plain,
( point_equal(sK1(r,o),c)
| ~ line_equal(r,r)
| ~ spl3_31
| ~ spl3_363 ),
inference(subsumption_resolution,[],[f35674,f2850]) ).
fof(f35674,plain,
( point_equal(sK1(r,o),c)
| ~ incident(sK1(r,o),o)
| ~ line_equal(r,r)
| ~ spl3_31 ),
inference(resolution,[],[f492,f300]) ).
fof(f300,plain,
! [X0] :
( incident(sK1(X0,o),X0)
| ~ line_equal(X0,X0) ),
inference(resolution,[],[f171,f94]) ).
fof(f171,plain,
line_equal(o,o),
inference(resolution,[],[f144,f88]) ).
fof(f492,plain,
( ! [X0] :
( ~ incident(X0,r)
| point_equal(X0,c)
| ~ incident(X0,o) )
| ~ spl3_31 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f35708,plain,
( ~ spl3_355
| ~ spl3_31
| spl3_356 ),
inference(avatar_split_clause,[],[f35707,f2813,f491,f2809]) ).
fof(f2809,plain,
( spl3_355
<=> incident(i,o) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_355])]) ).
fof(f2813,plain,
( spl3_356
<=> point_equal(i,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_356])]) ).
fof(f35707,plain,
( ~ incident(i,o)
| ~ spl3_31
| spl3_356 ),
inference(subsumption_resolution,[],[f35660,f2814]) ).
fof(f2814,plain,
( ~ point_equal(i,c)
| spl3_356 ),
inference(avatar_component_clause,[],[f2813]) ).
fof(f35660,plain,
( point_equal(i,c)
| ~ incident(i,o)
| ~ spl3_31 ),
inference(resolution,[],[f492,f165]) ).
fof(f35600,plain,
( spl3_562
| ~ spl3_1766 ),
inference(avatar_split_clause,[],[f35564,f18048,f4048]) ).
fof(f35564,plain,
( incident(e,p)
| ~ spl3_1766 ),
inference(resolution,[],[f18117,f153]) ).
fof(f18117,plain,
( ! [X0] :
( ~ incident(d,X0)
| incident(e,X0) )
| ~ spl3_1766 ),
inference(resolution,[],[f18050,f92]) ).
fof(f18050,plain,
( point_equal(e,d)
| ~ spl3_1766 ),
inference(avatar_component_clause,[],[f18048]) ).
fof(f34757,plain,
( spl3_2003
| ~ spl3_45
| ~ spl3_2002 ),
inference(avatar_split_clause,[],[f34756,f31195,f590,f31199]) ).
fof(f34756,plain,
( point_equal(sK1(p,m),e)
| ~ spl3_45
| ~ spl3_2002 ),
inference(subsumption_resolution,[],[f34749,f1139]) ).
fof(f34749,plain,
( point_equal(sK1(p,m),e)
| ~ incident(sK1(p,m),m)
| ~ spl3_45
| ~ spl3_2002 ),
inference(resolution,[],[f31196,f591]) ).
fof(f31196,plain,
( incident(sK1(p,m),o)
| ~ spl3_2002 ),
inference(avatar_component_clause,[],[f31195]) ).
fof(f33623,plain,
( spl3_488
| ~ spl3_1412 ),
inference(avatar_contradiction_clause,[],[f33622]) ).
fof(f33622,plain,
( $false
| spl3_488
| ~ spl3_1412 ),
inference(subsumption_resolution,[],[f33585,f3618]) ).
fof(f3618,plain,
( ~ incident(a,n)
| spl3_488 ),
inference(avatar_component_clause,[],[f3616]) ).
fof(f3616,plain,
( spl3_488
<=> incident(a,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_488])]) ).
fof(f33585,plain,
( incident(a,n)
| ~ spl3_1412 ),
inference(resolution,[],[f12590,f143]) ).
fof(f143,plain,
incident(b,n),
inference(resolution,[],[f97,f70]) ).
fof(f12590,plain,
( ! [X0] :
( ~ incident(b,X0)
| incident(a,X0) )
| ~ spl3_1412 ),
inference(resolution,[],[f12560,f92]) ).
fof(f12560,plain,
( point_equal(a,b)
| ~ spl3_1412 ),
inference(resolution,[],[f9874,f85]) ).
fof(f9874,plain,
( point_equal(b,a)
| ~ spl3_1412 ),
inference(avatar_component_clause,[],[f9872]) ).
fof(f33415,plain,
( spl3_2051
| ~ spl3_1501 ),
inference(avatar_split_clause,[],[f31310,f11616,f33350]) ).
fof(f33350,plain,
( spl3_2051
<=> incident(g,sK2(g,h,i)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2051])]) ).
fof(f31310,plain,
( incident(g,sK2(g,h,i))
| ~ spl3_1501 ),
inference(resolution,[],[f11618,f97]) ).
fof(f11618,plain,
( colinear(g,h,i,sK2(g,h,i))
| ~ spl3_1501 ),
inference(avatar_component_clause,[],[f11616]) ).
fof(f33392,plain,
( spl3_2050
| ~ spl3_1501 ),
inference(avatar_split_clause,[],[f31309,f11616,f33346]) ).
fof(f33346,plain,
( spl3_2050
<=> incident(h,sK2(g,h,i)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2050])]) ).
fof(f31309,plain,
( incident(h,sK2(g,h,i))
| ~ spl3_1501 ),
inference(resolution,[],[f11618,f98]) ).
fof(f33353,plain,
( ~ spl3_2050
| ~ spl3_2051
| ~ spl3_8
| ~ spl3_1501 ),
inference(avatar_split_clause,[],[f33334,f11616,f137,f33350,f33346]) ).
fof(f33334,plain,
( ~ incident(g,sK2(g,h,i))
| ~ incident(h,sK2(g,h,i))
| ~ spl3_8
| ~ spl3_1501 ),
inference(resolution,[],[f31308,f138]) ).
fof(f31308,plain,
( incident(i,sK2(g,h,i))
| ~ spl3_1501 ),
inference(resolution,[],[f11618,f99]) ).
fof(f30789,plain,
( spl3_417
| ~ spl3_418 ),
inference(avatar_contradiction_clause,[],[f30788]) ).
fof(f30788,plain,
( $false
| spl3_417
| ~ spl3_418 ),
inference(subsumption_resolution,[],[f30765,f3195]) ).
fof(f3195,plain,
( ~ incident(sK1(r,o),m)
| spl3_417 ),
inference(avatar_component_clause,[],[f3193]) ).
fof(f30765,plain,
( incident(sK1(r,o),m)
| ~ spl3_418 ),
inference(resolution,[],[f10272,f142]) ).
fof(f10272,plain,
( ! [X0] :
( ~ incident(d,X0)
| incident(sK1(r,o),X0) )
| ~ spl3_418 ),
inference(resolution,[],[f3199,f92]) ).
fof(f3199,plain,
( point_equal(sK1(r,o),d)
| ~ spl3_418 ),
inference(avatar_component_clause,[],[f3197]) ).
fof(f29097,plain,
( ~ spl3_364
| spl3_388 ),
inference(avatar_contradiction_clause,[],[f29096]) ).
fof(f29096,plain,
( $false
| ~ spl3_364
| spl3_388 ),
inference(subsumption_resolution,[],[f29075,f3006]) ).
fof(f3006,plain,
( ~ incident(sK1(r,o),l)
| spl3_388 ),
inference(avatar_component_clause,[],[f3004]) ).
fof(f29075,plain,
( incident(sK1(r,o),l)
| ~ spl3_364 ),
inference(resolution,[],[f8551,f159]) ).
fof(f8551,plain,
( ! [X0] :
( ~ incident(c,X0)
| incident(sK1(r,o),X0) )
| ~ spl3_364 ),
inference(resolution,[],[f2855,f92]) ).
fof(f27794,plain,
( spl3_767
| ~ spl3_35
| ~ spl3_722 ),
inference(avatar_split_clause,[],[f27793,f4924,f516,f5151]) ).
fof(f516,plain,
( spl3_35
<=> line_equal(o,r) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_35])]) ).
fof(f4924,plain,
( spl3_722
<=> line_equal(sK0(c,d),r) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_722])]) ).
fof(f27793,plain,
( line_equal(sK0(c,d),o)
| ~ spl3_35
| ~ spl3_722 ),
inference(resolution,[],[f26388,f86]) ).
fof(f26388,plain,
( line_equal(o,sK0(c,d))
| ~ spl3_35
| ~ spl3_722 ),
inference(resolution,[],[f26159,f13988]) ).
fof(f13988,plain,
( line_equal(r,sK0(c,d))
| ~ spl3_722 ),
inference(resolution,[],[f4926,f86]) ).
fof(f4926,plain,
( line_equal(sK0(c,d),r)
| ~ spl3_722 ),
inference(avatar_component_clause,[],[f4924]) ).
fof(f26159,plain,
( ! [X0] :
( ~ line_equal(r,X0)
| line_equal(o,X0) )
| ~ spl3_35 ),
inference(resolution,[],[f518,f93]) ).
fof(f518,plain,
( line_equal(o,r)
| ~ spl3_35 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f26820,plain,
( ~ spl3_8
| ~ spl3_1461 ),
inference(avatar_contradiction_clause,[],[f26819]) ).
fof(f26819,plain,
( $false
| ~ spl3_8
| ~ spl3_1461 ),
inference(subsumption_resolution,[],[f26787,f7920]) ).
fof(f26787,plain,
( incident(g,sK0(i,h))
| ~ spl3_1461 ),
inference(resolution,[],[f26251,f2211]) ).
fof(f26251,plain,
( ! [X0] :
( ~ incident(i,X0)
| incident(g,X0) )
| ~ spl3_1461 ),
inference(resolution,[],[f11049,f92]) ).
fof(f11049,plain,
( point_equal(g,i)
| ~ spl3_1461 ),
inference(avatar_component_clause,[],[f11047]) ).
fof(f11047,plain,
( spl3_1461
<=> point_equal(g,i) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1461])]) ).
fof(f26107,plain,
( spl3_1
| ~ spl3_476 ),
inference(avatar_contradiction_clause,[],[f26106]) ).
fof(f26106,plain,
( $false
| spl3_1
| ~ spl3_476 ),
inference(subsumption_resolution,[],[f26082,f105]) ).
fof(f105,plain,
( ~ incident(a,m)
| spl3_1 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl3_1
<=> incident(a,m) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f26082,plain,
( incident(a,m)
| ~ spl3_476 ),
inference(resolution,[],[f25088,f150]) ).
fof(f150,plain,
incident(e,m),
inference(resolution,[],[f98,f77]) ).
fof(f25088,plain,
( ! [X0] :
( ~ incident(e,X0)
| incident(a,X0) )
| ~ spl3_476 ),
inference(resolution,[],[f3541,f92]) ).
fof(f3541,plain,
( point_equal(a,e)
| ~ spl3_476 ),
inference(avatar_component_clause,[],[f3539]) ).
fof(f25019,plain,
( ~ spl3_353
| ~ spl3_31
| spl3_354 ),
inference(avatar_split_clause,[],[f25018,f2804,f491,f2800]) ).
fof(f25018,plain,
( ~ incident(d,o)
| ~ spl3_31
| spl3_354 ),
inference(subsumption_resolution,[],[f24996,f2805]) ).
fof(f24996,plain,
( point_equal(d,c)
| ~ incident(d,o)
| ~ spl3_31 ),
inference(resolution,[],[f492,f155]) ).
fof(f24908,plain,
( spl3_18
| spl3_21
| ~ spl3_116
| ~ spl3_560 ),
inference(avatar_split_clause,[],[f24907,f4039,f1012,f416,f396]) ).
fof(f416,plain,
( spl3_21
<=> line_equal(q,s) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).
fof(f4039,plain,
( spl3_560
<=> incident(a,p) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_560])]) ).
fof(f24907,plain,
( ! [X0] :
( line_equal(q,s)
| point_equal(X0,a)
| ~ incident(X0,s)
| ~ incident(X0,q) )
| ~ spl3_116
| ~ spl3_560 ),
inference(subsumption_resolution,[],[f24124,f4040]) ).
fof(f4040,plain,
( incident(a,p)
| ~ spl3_560 ),
inference(avatar_component_clause,[],[f4039]) ).
fof(f24124,plain,
( ! [X0] :
( ~ incident(a,p)
| line_equal(q,s)
| point_equal(X0,a)
| ~ incident(X0,s)
| ~ incident(X0,q) )
| ~ spl3_116 ),
inference(resolution,[],[f23968,f195]) ).
fof(f195,plain,
! [X0,X1] :
( ~ incident(a,X1)
| line_equal(X1,s)
| point_equal(X0,a)
| ~ incident(X0,s)
| ~ incident(X0,X1) ),
inference(resolution,[],[f100,f148]) ).
fof(f23968,plain,
( ! [X0] :
( incident(X0,q)
| ~ incident(X0,p) )
| ~ spl3_116 ),
inference(resolution,[],[f1014,f96]) ).
fof(f1014,plain,
( line_equal(p,q)
| ~ spl3_116 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f23123,plain,
( spl3_276
| ~ spl3_356 ),
inference(avatar_split_clause,[],[f22101,f2813,f2328]) ).
fof(f2328,plain,
( spl3_276
<=> incident(i,l) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_276])]) ).
fof(f22101,plain,
( incident(i,l)
| ~ spl3_356 ),
inference(resolution,[],[f21958,f159]) ).
fof(f21958,plain,
( ! [X0] :
( ~ incident(c,X0)
| incident(i,X0) )
| ~ spl3_356 ),
inference(resolution,[],[f2815,f92]) ).
fof(f2815,plain,
( point_equal(i,c)
| ~ spl3_356 ),
inference(avatar_component_clause,[],[f2813]) ).
fof(f23116,plain,
( ~ spl3_355
| spl3_475
| ~ spl3_581 ),
inference(avatar_contradiction_clause,[],[f23115]) ).
fof(f23115,plain,
( $false
| ~ spl3_355
| spl3_475
| ~ spl3_581 ),
inference(subsumption_resolution,[],[f23081,f3537]) ).
fof(f23081,plain,
( incident(a,o)
| ~ spl3_355
| ~ spl3_581 ),
inference(resolution,[],[f21990,f2810]) ).
fof(f2810,plain,
( incident(i,o)
| ~ spl3_355 ),
inference(avatar_component_clause,[],[f2809]) ).
fof(f21990,plain,
( ! [X0] :
( ~ incident(i,X0)
| incident(a,X0) )
| ~ spl3_581 ),
inference(resolution,[],[f4154,f92]) ).
fof(f4154,plain,
( point_equal(a,i)
| ~ spl3_581 ),
inference(avatar_component_clause,[],[f4152]) ).
fof(f4152,plain,
( spl3_581
<=> point_equal(a,i) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_581])]) ).
fof(f22927,plain,
( spl3_1461
| ~ spl3_1660 ),
inference(avatar_split_clause,[],[f22926,f14941,f11047]) ).
fof(f14941,plain,
( spl3_1660
<=> point_equal(i,g) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1660])]) ).
fof(f22926,plain,
( point_equal(g,i)
| ~ spl3_1660 ),
inference(resolution,[],[f14943,f85]) ).
fof(f14943,plain,
( point_equal(i,g)
| ~ spl3_1660 ),
inference(avatar_component_clause,[],[f14941]) ).
fof(f22847,plain,
( spl3_1
| ~ spl3_90 ),
inference(avatar_contradiction_clause,[],[f22846]) ).
fof(f22846,plain,
( $false
| spl3_1
| ~ spl3_90 ),
inference(subsumption_resolution,[],[f22826,f105]) ).
fof(f22826,plain,
( incident(a,m)
| ~ spl3_90 ),
inference(resolution,[],[f22465,f148]) ).
fof(f22465,plain,
( ! [X0] :
( ~ incident(X0,s)
| incident(X0,m) )
| ~ spl3_90 ),
inference(resolution,[],[f869,f96]) ).
fof(f869,plain,
( line_equal(s,m)
| ~ spl3_90 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f867,plain,
( spl3_90
<=> line_equal(s,m) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_90])]) ).
fof(f22595,plain,
( spl3_3
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f22594]) ).
fof(f22594,plain,
( $false
| spl3_3
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f22538,f114]) ).
fof(f114,plain,
( ~ incident(b,m)
| spl3_3 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f112,plain,
( spl3_3
<=> incident(b,m) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f22538,plain,
( incident(b,m)
| ~ spl3_39 ),
inference(resolution,[],[f22454,f145]) ).
fof(f22454,plain,
( ! [X0] :
( ~ incident(X0,p)
| incident(X0,m) )
| ~ spl3_39 ),
inference(resolution,[],[f548,f96]) ).
fof(f548,plain,
( line_equal(p,m)
| ~ spl3_39 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f546,plain,
( spl3_39
<=> line_equal(p,m) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_39])]) ).
fof(f21937,plain,
( spl3_581
| ~ spl3_277 ),
inference(avatar_split_clause,[],[f21936,f2332,f4152]) ).
fof(f21936,plain,
( point_equal(a,i)
| ~ spl3_277 ),
inference(resolution,[],[f2334,f85]) ).
fof(f2334,plain,
( point_equal(i,a)
| ~ spl3_277 ),
inference(avatar_component_clause,[],[f2332]) ).
fof(f21925,plain,
( spl3_1358
| ~ spl3_1632 ),
inference(avatar_split_clause,[],[f21900,f14446,f9160]) ).
fof(f21900,plain,
( incident(f,p)
| ~ spl3_1632 ),
inference(resolution,[],[f14485,f153]) ).
fof(f14485,plain,
( ! [X0] :
( ~ incident(d,X0)
| incident(f,X0) )
| ~ spl3_1632 ),
inference(resolution,[],[f14448,f92]) ).
fof(f14448,plain,
( point_equal(f,d)
| ~ spl3_1632 ),
inference(avatar_component_clause,[],[f14446]) ).
fof(f21922,plain,
( ~ spl3_355
| spl3_1660
| ~ spl3_1462 ),
inference(avatar_split_clause,[],[f14814,f11053,f14941,f2809]) ).
fof(f11053,plain,
( spl3_1462
<=> ! [X0] :
( point_equal(X0,g)
| ~ incident(X0,s)
| ~ incident(X0,o) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1462])]) ).
fof(f14814,plain,
( point_equal(i,g)
| ~ incident(i,o)
| ~ spl3_1462 ),
inference(resolution,[],[f11054,f166]) ).
fof(f11054,plain,
( ! [X0] :
( ~ incident(X0,s)
| point_equal(X0,g)
| ~ incident(X0,o) )
| ~ spl3_1462 ),
inference(avatar_component_clause,[],[f11053]) ).
fof(f21773,plain,
( spl3_292
| ~ spl3_1357 ),
inference(avatar_contradiction_clause,[],[f21772]) ).
fof(f21772,plain,
( $false
| spl3_292
| ~ spl3_1357 ),
inference(subsumption_resolution,[],[f21752,f2422]) ).
fof(f2422,plain,
( ~ incident(f,q)
| spl3_292 ),
inference(avatar_component_clause,[],[f2420]) ).
fof(f2420,plain,
( spl3_292
<=> incident(f,q) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_292])]) ).
fof(f21752,plain,
( incident(f,q)
| ~ spl3_1357 ),
inference(resolution,[],[f12947,f154]) ).
fof(f12947,plain,
( ! [X0] :
( ~ incident(e,X0)
| incident(f,X0) )
| ~ spl3_1357 ),
inference(resolution,[],[f9157,f92]) ).
fof(f9157,plain,
( point_equal(f,e)
| ~ spl3_1357 ),
inference(avatar_component_clause,[],[f9155]) ).
fof(f18348,plain,
( spl3_489
| ~ spl3_293 ),
inference(avatar_split_clause,[],[f12896,f2424,f3620]) ).
fof(f12896,plain,
( point_equal(a,f)
| ~ spl3_293 ),
inference(resolution,[],[f2426,f85]) ).
fof(f2426,plain,
( point_equal(f,a)
| ~ spl3_293 ),
inference(avatar_component_clause,[],[f2424]) ).
fof(f18342,plain,
( spl3_1
| ~ spl3_489 ),
inference(avatar_contradiction_clause,[],[f18341]) ).
fof(f18341,plain,
( $false
| spl3_1
| ~ spl3_489 ),
inference(subsumption_resolution,[],[f18318,f105]) ).
fof(f18318,plain,
( incident(a,m)
| ~ spl3_489 ),
inference(resolution,[],[f12890,f160]) ).
fof(f12890,plain,
( ! [X0] :
( ~ incident(f,X0)
| incident(a,X0) )
| ~ spl3_489 ),
inference(resolution,[],[f3622,f92]) ).
fof(f3622,plain,
( point_equal(a,f)
| ~ spl3_489 ),
inference(avatar_component_clause,[],[f3620]) ).
fof(f18223,plain,
( spl3_4
| ~ spl3_354 ),
inference(avatar_contradiction_clause,[],[f18222]) ).
fof(f18222,plain,
( $false
| spl3_4
| ~ spl3_354 ),
inference(subsumption_resolution,[],[f18201,f119]) ).
fof(f119,plain,
( ~ incident(d,l)
| spl3_4 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f117,plain,
( spl3_4
<=> incident(d,l) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f18201,plain,
( incident(d,l)
| ~ spl3_354 ),
inference(resolution,[],[f11952,f159]) ).
fof(f11952,plain,
( ! [X0] :
( ~ incident(c,X0)
| incident(d,X0) )
| ~ spl3_354 ),
inference(resolution,[],[f2806,f92]) ).
fof(f2806,plain,
( point_equal(d,c)
| ~ spl3_354 ),
inference(avatar_component_clause,[],[f2804]) ).
fof(f18043,plain,
( spl3_477
| ~ spl3_478 ),
inference(avatar_contradiction_clause,[],[f18042]) ).
fof(f18042,plain,
( $false
| spl3_477
| ~ spl3_478 ),
inference(subsumption_resolution,[],[f18019,f3546]) ).
fof(f3546,plain,
( ~ incident(h,o)
| spl3_477 ),
inference(avatar_component_clause,[],[f3544]) ).
fof(f3544,plain,
( spl3_477
<=> incident(h,o) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_477])]) ).
fof(f18019,plain,
( incident(h,o)
| ~ spl3_478 ),
inference(resolution,[],[f9585,f152]) ).
fof(f9585,plain,
( ! [X0] :
( ~ incident(e,X0)
| incident(h,X0) )
| ~ spl3_478 ),
inference(resolution,[],[f3550,f92]) ).
fof(f3550,plain,
( point_equal(h,e)
| ~ spl3_478 ),
inference(avatar_component_clause,[],[f3548]) ).
fof(f17838,plain,
( spl3_356
| ~ spl3_276
| ~ spl3_36 ),
inference(avatar_split_clause,[],[f13102,f521,f2328,f2813]) ).
fof(f13102,plain,
( ~ incident(i,l)
| point_equal(i,c)
| ~ spl3_36 ),
inference(resolution,[],[f522,f165]) ).
fof(f17834,plain,
( spl3_355
| ~ spl3_356 ),
inference(avatar_contradiction_clause,[],[f17833]) ).
fof(f17833,plain,
( $false
| spl3_355
| ~ spl3_356 ),
inference(subsumption_resolution,[],[f17813,f2811]) ).
fof(f2811,plain,
( ~ incident(i,o)
| spl3_355 ),
inference(avatar_component_clause,[],[f2809]) ).
fof(f17813,plain,
( incident(i,o)
| ~ spl3_356 ),
inference(resolution,[],[f9551,f144]) ).
fof(f9551,plain,
( ! [X0] :
( ~ incident(c,X0)
| incident(i,X0) )
| ~ spl3_356 ),
inference(resolution,[],[f2815,f92]) ).
fof(f17727,plain,
( spl3_276
| ~ spl3_277 ),
inference(avatar_split_clause,[],[f17702,f2332,f2328]) ).
fof(f17702,plain,
( incident(i,l)
| ~ spl3_277 ),
inference(resolution,[],[f9178,f141]) ).
fof(f9178,plain,
( ! [X0] :
( ~ incident(a,X0)
| incident(i,X0) )
| ~ spl3_277 ),
inference(resolution,[],[f2334,f92]) ).
fof(f16206,plain,
( spl3_11
| ~ spl3_21 ),
inference(avatar_split_clause,[],[f16172,f416,f257]) ).
fof(f16172,plain,
( incident(h,s)
| ~ spl3_21 ),
inference(resolution,[],[f15722,f164]) ).
fof(f15722,plain,
( ! [X0] :
( ~ incident(X0,q)
| incident(X0,s) )
| ~ spl3_21 ),
inference(resolution,[],[f418,f96]) ).
fof(f418,plain,
( line_equal(q,s)
| ~ spl3_21 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f16043,plain,
( ~ spl3_116
| spl3_1446 ),
inference(avatar_contradiction_clause,[],[f16042]) ).
fof(f16042,plain,
( $false
| ~ spl3_116
| spl3_1446 ),
inference(subsumption_resolution,[],[f16006,f10543]) ).
fof(f10543,plain,
( ~ incident(d,q)
| spl3_1446 ),
inference(avatar_component_clause,[],[f10541]) ).
fof(f16006,plain,
( incident(d,q)
| ~ spl3_116 ),
inference(resolution,[],[f15286,f153]) ).
fof(f15286,plain,
( ! [X0] :
( ~ incident(X0,p)
| incident(X0,q) )
| ~ spl3_116 ),
inference(resolution,[],[f1014,f96]) ).
fof(f16041,plain,
( spl3_1411
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f16004,f1012,f9868]) ).
fof(f16004,plain,
( incident(b,q)
| ~ spl3_116 ),
inference(resolution,[],[f15286,f145]) ).
fof(f15184,plain,
( spl3_1602
| spl3_123
| ~ spl3_580 ),
inference(avatar_split_clause,[],[f14426,f4148,f1055,f13097]) ).
fof(f14426,plain,
( ! [X0] :
( line_equal(r,s)
| point_equal(X0,a)
| ~ incident(X0,s)
| ~ incident(X0,r) )
| ~ spl3_580 ),
inference(resolution,[],[f4149,f195]) ).
fof(f15083,plain,
( spl3_1668
| spl3_21
| ~ spl3_292 ),
inference(avatar_split_clause,[],[f14404,f2420,f416,f15081]) ).
fof(f14404,plain,
( ! [X0] :
( line_equal(q,s)
| point_equal(X0,f)
| ~ incident(X0,s)
| ~ incident(X0,q) )
| ~ spl3_292 ),
inference(resolution,[],[f2421,f218]) ).
fof(f218,plain,
! [X0,X1] :
( ~ incident(f,X1)
| line_equal(X1,s)
| point_equal(X0,f)
| ~ incident(X0,s)
| ~ incident(X0,X1) ),
inference(resolution,[],[f156,f100]) ).
fof(f2421,plain,
( incident(f,q)
| ~ spl3_292 ),
inference(avatar_component_clause,[],[f2420]) ).
fof(f14751,plain,
( spl3_1644
| spl3_66
| ~ spl3_488 ),
inference(avatar_split_clause,[],[f14298,f3616,f741,f14749]) ).
fof(f741,plain,
( spl3_66
<=> line_equal(n,s) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_66])]) ).
fof(f14298,plain,
( ! [X0] :
( line_equal(n,s)
| point_equal(X0,a)
| ~ incident(X0,s)
| ~ incident(X0,n) )
| ~ spl3_488 ),
inference(resolution,[],[f3617,f195]) ).
fof(f3617,plain,
( incident(a,n)
| ~ spl3_488 ),
inference(avatar_component_clause,[],[f3616]) ).
fof(f14726,plain,
( spl3_1462
| spl3_1386
| ~ spl3_12 ),
inference(avatar_split_clause,[],[f14192,f261,f9544,f11053]) ).
fof(f261,plain,
( spl3_12
<=> incident(g,s) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f14192,plain,
( ! [X0] :
( line_equal(o,s)
| point_equal(X0,g)
| ~ incident(X0,s)
| ~ incident(X0,o) )
| ~ spl3_12 ),
inference(resolution,[],[f14172,f162]) ).
fof(f14172,plain,
( ! [X0,X1] :
( ~ incident(g,X1)
| line_equal(X1,s)
| point_equal(X0,g)
| ~ incident(X0,s)
| ~ incident(X0,X1) )
| ~ spl3_12 ),
inference(resolution,[],[f262,f100]) ).
fof(f262,plain,
( incident(g,s)
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f13766,plain,
( spl3_5
| ~ spl3_79 ),
inference(avatar_contradiction_clause,[],[f13765]) ).
fof(f13765,plain,
( $false
| spl3_5
| ~ spl3_79 ),
inference(subsumption_resolution,[],[f13743,f124]) ).
fof(f124,plain,
( ~ incident(e,l)
| spl3_5 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f122,plain,
( spl3_5
<=> incident(e,l) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f13743,plain,
( incident(e,l)
| ~ spl3_79 ),
inference(resolution,[],[f13399,f152]) ).
fof(f13399,plain,
( ! [X0] :
( ~ incident(X0,o)
| incident(X0,l) )
| ~ spl3_79 ),
inference(resolution,[],[f812,f96]) ).
fof(f812,plain,
( line_equal(o,l)
| ~ spl3_79 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f810,plain,
( spl3_79
<=> line_equal(o,l) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_79])]) ).
fof(f13398,plain,
( spl3_79
| ~ spl3_34 ),
inference(avatar_split_clause,[],[f13397,f502,f810]) ).
fof(f502,plain,
( spl3_34
<=> line_equal(l,o) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_34])]) ).
fof(f13397,plain,
( line_equal(o,l)
| ~ spl3_34 ),
inference(resolution,[],[f504,f86]) ).
fof(f504,plain,
( line_equal(l,o)
| ~ spl3_34 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f13340,plain,
( spl3_34
| ~ spl3_25
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f13331,f946,f439,f502]) ).
fof(f439,plain,
( spl3_25
<=> line_equal(l,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).
fof(f13331,plain,
( line_equal(l,o)
| ~ spl3_25
| ~ spl3_105 ),
inference(resolution,[],[f12868,f948]) ).
fof(f12868,plain,
( ! [X0] :
( ~ line_equal(n,X0)
| line_equal(l,X0) )
| ~ spl3_25 ),
inference(resolution,[],[f441,f93]) ).
fof(f441,plain,
( line_equal(l,n)
| ~ spl3_25 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f13256,plain,
( spl3_6
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f13255]) ).
fof(f13255,plain,
( $false
| spl3_6
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f13237,f129]) ).
fof(f13237,plain,
( incident(f,l)
| ~ spl3_16 ),
inference(resolution,[],[f12857,f156]) ).
fof(f12857,plain,
( ! [X0] :
( ~ incident(X0,s)
| incident(X0,l) )
| ~ spl3_16 ),
inference(resolution,[],[f381,f96]) ).
fof(f381,plain,
( line_equal(s,l)
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f379,plain,
( spl3_16
<=> line_equal(s,l) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f13193,plain,
( spl3_5
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f13192]) ).
fof(f13192,plain,
( $false
| spl3_5
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f13172,f124]) ).
fof(f13172,plain,
( incident(e,l)
| ~ spl3_14 ),
inference(resolution,[],[f12853,f154]) ).
fof(f12853,plain,
( ! [X0] :
( ~ incident(X0,q)
| incident(X0,l) )
| ~ spl3_14 ),
inference(resolution,[],[f373,f96]) ).
fof(f373,plain,
( line_equal(q,l)
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f371,plain,
( spl3_14
<=> line_equal(q,l) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f13040,plain,
( spl3_4
| ~ spl3_80 ),
inference(avatar_contradiction_clause,[],[f13039]) ).
fof(f13039,plain,
( $false
| spl3_4
| ~ spl3_80 ),
inference(subsumption_resolution,[],[f13013,f119]) ).
fof(f13013,plain,
( incident(d,l)
| ~ spl3_80 ),
inference(resolution,[],[f11931,f155]) ).
fof(f11931,plain,
( ! [X0] :
( ~ incident(X0,r)
| incident(X0,l) )
| ~ spl3_80 ),
inference(resolution,[],[f817,f96]) ).
fof(f817,plain,
( line_equal(r,l)
| ~ spl3_80 ),
inference(avatar_component_clause,[],[f815]) ).
fof(f815,plain,
( spl3_80
<=> line_equal(r,l) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_80])]) ).
fof(f12225,plain,
( spl3_9
| ~ spl3_59 ),
inference(avatar_split_clause,[],[f12180,f702,f244]) ).
fof(f702,plain,
( spl3_59
<=> line_equal(p,r) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_59])]) ).
fof(f12180,plain,
( incident(h,r)
| ~ spl3_59 ),
inference(resolution,[],[f11671,f163]) ).
fof(f11671,plain,
( ! [X0] :
( ~ incident(X0,p)
| incident(X0,r) )
| ~ spl3_59 ),
inference(resolution,[],[f704,f96]) ).
fof(f704,plain,
( line_equal(p,r)
| ~ spl3_59 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f11646,plain,
( spl3_1508
| spl3_59
| ~ spl3_434 ),
inference(avatar_split_clause,[],[f11198,f3290,f702,f11644]) ).
fof(f11198,plain,
( ! [X0] :
( line_equal(p,r)
| point_equal(X0,sK1(r,o))
| ~ incident(X0,r)
| ~ incident(X0,p) )
| ~ spl3_434 ),
inference(resolution,[],[f1458,f3291]) ).
fof(f3291,plain,
( incident(sK1(r,o),p)
| ~ spl3_434 ),
inference(avatar_component_clause,[],[f3290]) ).
fof(f1458,plain,
! [X2,X0,X1] :
( ~ incident(sK1(X0,o),X2)
| line_equal(X2,X0)
| point_equal(X1,sK1(X0,o))
| ~ incident(X1,X0)
| ~ incident(X1,X2) ),
inference(subsumption_resolution,[],[f1455,f88]) ).
fof(f1455,plain,
! [X2,X0,X1] :
( ~ line_equal(X0,X0)
| point_equal(X1,sK1(X0,o))
| line_equal(X2,X0)
| ~ incident(sK1(X0,o),X2)
| ~ incident(X1,X0)
| ~ incident(X1,X2) ),
inference(resolution,[],[f300,f100]) ).
fof(f11548,plain,
( spl3_7
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f11547]) ).
fof(f11547,plain,
( $false
| spl3_7
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f11528,f134]) ).
fof(f11528,plain,
( incident(c,m)
| ~ spl3_41 ),
inference(resolution,[],[f11516,f147]) ).
fof(f11516,plain,
( ! [X0] :
( ~ incident(X0,r)
| incident(X0,m) )
| ~ spl3_41 ),
inference(resolution,[],[f556,f96]) ).
fof(f556,plain,
( line_equal(r,m)
| ~ spl3_41 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f554,plain,
( spl3_41
<=> line_equal(r,m) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_41])]) ).
fof(f11426,plain,
( spl3_1
| ~ spl3_48 ),
inference(avatar_contradiction_clause,[],[f11425]) ).
fof(f11425,plain,
( $false
| spl3_1
| ~ spl3_48 ),
inference(subsumption_resolution,[],[f11400,f105]) ).
fof(f11400,plain,
( incident(a,m)
| ~ spl3_48 ),
inference(resolution,[],[f11388,f146]) ).
fof(f11388,plain,
( ! [X0] :
( ~ incident(X0,q)
| incident(X0,m) )
| ~ spl3_48 ),
inference(resolution,[],[f603,f96]) ).
fof(f603,plain,
( line_equal(q,m)
| ~ spl3_48 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f601,plain,
( spl3_48
<=> line_equal(q,m) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_48])]) ).
fof(f11264,plain,
( spl3_7
| ~ spl3_46 ),
inference(avatar_contradiction_clause,[],[f11263]) ).
fof(f11263,plain,
( $false
| spl3_7
| ~ spl3_46 ),
inference(subsumption_resolution,[],[f11233,f134]) ).
fof(f11233,plain,
( incident(c,m)
| ~ spl3_46 ),
inference(resolution,[],[f11220,f144]) ).
fof(f11220,plain,
( ! [X0] :
( ~ incident(X0,o)
| incident(X0,m) )
| ~ spl3_46 ),
inference(resolution,[],[f595,f96]) ).
fof(f595,plain,
( line_equal(o,m)
| ~ spl3_46 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f593,plain,
( spl3_46
<=> line_equal(o,m) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_46])]) ).
fof(f11019,plain,
( spl3_12
| ~ spl3_66 ),
inference(avatar_split_clause,[],[f11002,f741,f261]) ).
fof(f11002,plain,
( incident(g,s)
| ~ spl3_66 ),
inference(resolution,[],[f10986,f161]) ).
fof(f10986,plain,
( ! [X0] :
( ~ incident(X0,n)
| incident(X0,s) )
| ~ spl3_66 ),
inference(resolution,[],[f743,f96]) ).
fof(f743,plain,
( line_equal(n,s)
| ~ spl3_66 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f10887,plain,
( spl3_98
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f10439,f946,f908]) ).
fof(f10439,plain,
( line_equal(o,n)
| ~ spl3_105 ),
inference(resolution,[],[f948,f86]) ).
fof(f10614,plain,
( ~ spl3_111
| spl3_560 ),
inference(avatar_contradiction_clause,[],[f10613]) ).
fof(f10613,plain,
( $false
| ~ spl3_111
| spl3_560 ),
inference(subsumption_resolution,[],[f10588,f4041]) ).
fof(f4041,plain,
( ~ incident(a,p)
| spl3_560 ),
inference(avatar_component_clause,[],[f4039]) ).
fof(f10588,plain,
( incident(a,p)
| ~ spl3_111 ),
inference(resolution,[],[f10140,f146]) ).
fof(f10140,plain,
( ! [X0] :
( ~ incident(X0,q)
| incident(X0,p) )
| ~ spl3_111 ),
inference(resolution,[],[f984,f96]) ).
fof(f984,plain,
( line_equal(q,p)
| ~ spl3_111 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f982,plain,
( spl3_111
<=> line_equal(q,p) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_111])]) ).
fof(f9550,plain,
( ~ spl3_477
| ~ spl3_8
| ~ spl3_355 ),
inference(avatar_split_clause,[],[f9549,f2809,f137,f3544]) ).
fof(f9549,plain,
( ~ incident(h,o)
| ~ spl3_8
| ~ spl3_355 ),
inference(subsumption_resolution,[],[f9536,f162]) ).
fof(f9536,plain,
( ~ incident(g,o)
| ~ incident(h,o)
| ~ spl3_8
| ~ spl3_355 ),
inference(resolution,[],[f2810,f138]) ).
fof(f9504,plain,
( ~ spl3_475
| spl3_476
| ~ spl3_50 ),
inference(avatar_split_clause,[],[f9481,f620,f3539,f3535]) ).
fof(f620,plain,
( spl3_50
<=> ! [X0] :
( point_equal(X0,e)
| ~ incident(X0,q)
| ~ incident(X0,o) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_50])]) ).
fof(f9481,plain,
( point_equal(a,e)
| ~ incident(a,o)
| ~ spl3_50 ),
inference(resolution,[],[f621,f146]) ).
fof(f621,plain,
( ! [X0] :
( ~ incident(X0,q)
| point_equal(X0,e)
| ~ incident(X0,o) )
| ~ spl3_50 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f8840,plain,
( spl3_597
| ~ spl3_119
| ~ spl3_596 ),
inference(avatar_split_clause,[],[f8839,f4227,f1029,f4231]) ).
fof(f1029,plain,
( spl3_119
<=> ! [X0] :
( point_equal(X0,i)
| ~ incident(X0,s)
| ~ incident(X0,r) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_119])]) ).
fof(f4227,plain,
( spl3_596
<=> incident(sK1(s,r),r) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_596])]) ).
fof(f8839,plain,
( point_equal(sK1(s,r),i)
| ~ spl3_119
| ~ spl3_596 ),
inference(subsumption_resolution,[],[f8838,f179]) ).
fof(f8838,plain,
( point_equal(sK1(s,r),i)
| ~ line_equal(s,s)
| ~ spl3_119
| ~ spl3_596 ),
inference(subsumption_resolution,[],[f8828,f4228]) ).
fof(f4228,plain,
( incident(sK1(s,r),r)
| ~ spl3_596 ),
inference(avatar_component_clause,[],[f4227]) ).
fof(f8828,plain,
( point_equal(sK1(s,r),i)
| ~ incident(sK1(s,r),r)
| ~ line_equal(s,s)
| ~ spl3_119 ),
inference(resolution,[],[f1030,f321]) ).
fof(f321,plain,
! [X0] :
( incident(sK1(X0,r),X0)
| ~ line_equal(X0,X0) ),
inference(resolution,[],[f177,f94]) ).
fof(f1030,plain,
( ! [X0] :
( ~ incident(X0,s)
| point_equal(X0,i)
| ~ incident(X0,r) )
| ~ spl3_119 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f8792,plain,
( ~ spl3_120
| spl3_580 ),
inference(avatar_contradiction_clause,[],[f8791]) ).
fof(f8791,plain,
( $false
| ~ spl3_120
| spl3_580 ),
inference(subsumption_resolution,[],[f8772,f4150]) ).
fof(f4150,plain,
( ~ incident(a,r)
| spl3_580 ),
inference(avatar_component_clause,[],[f4148]) ).
fof(f8772,plain,
( incident(a,r)
| ~ spl3_120 ),
inference(resolution,[],[f5581,f148]) ).
fof(f5581,plain,
( ! [X0] :
( ~ incident(X0,s)
| incident(X0,r) )
| ~ spl3_120 ),
inference(resolution,[],[f1034,f96]) ).
fof(f1034,plain,
( line_equal(s,r)
| ~ spl3_120 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f8460,plain,
( ~ spl3_32
| spl3_355 ),
inference(avatar_contradiction_clause,[],[f8459]) ).
fof(f8459,plain,
( $false
| ~ spl3_32
| spl3_355 ),
inference(subsumption_resolution,[],[f8440,f2811]) ).
fof(f8440,plain,
( incident(i,o)
| ~ spl3_32 ),
inference(resolution,[],[f4796,f165]) ).
fof(f4796,plain,
( ! [X0] :
( ~ incident(X0,r)
| incident(X0,o) )
| ~ spl3_32 ),
inference(resolution,[],[f496,f96]) ).
fof(f496,plain,
( line_equal(r,o)
| ~ spl3_32 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f494,plain,
( spl3_32
<=> line_equal(r,o) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_32])]) ).
fof(f8346,plain,
( ~ spl3_51
| spl3_477 ),
inference(avatar_contradiction_clause,[],[f8345]) ).
fof(f8345,plain,
( $false
| ~ spl3_51
| spl3_477 ),
inference(subsumption_resolution,[],[f8325,f3546]) ).
fof(f8325,plain,
( incident(h,o)
| ~ spl3_51 ),
inference(resolution,[],[f4788,f164]) ).
fof(f4788,plain,
( ! [X0] :
( ~ incident(X0,q)
| incident(X0,o) )
| ~ spl3_51 ),
inference(resolution,[],[f625,f96]) ).
fof(f625,plain,
( line_equal(q,o)
| ~ spl3_51 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f623,plain,
( spl3_51
<=> line_equal(q,o) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_51])]) ).
fof(f7969,plain,
( spl3_432
| ~ spl3_40 ),
inference(avatar_split_clause,[],[f3180,f551,f3278]) ).
fof(f3180,plain,
( point_equal(sK1(r,m),d)
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f3179,f177]) ).
fof(f3179,plain,
( point_equal(sK1(r,m),d)
| ~ line_equal(r,r)
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f3153,f1141]) ).
fof(f1141,plain,
incident(sK1(r,m),m),
inference(resolution,[],[f278,f177]) ).
fof(f3153,plain,
( point_equal(sK1(r,m),d)
| ~ incident(sK1(r,m),m)
| ~ line_equal(r,r)
| ~ spl3_40 ),
inference(resolution,[],[f552,f279]) ).
fof(f6539,plain,
( spl3_1006
| spl3_1007 ),
inference(avatar_split_clause,[],[f6519,f6536,f6533]) ).
fof(f6519,plain,
! [X0] :
( line_equal(sK0(f,c),s)
| point_equal(X0,f)
| ~ incident(X0,s)
| ~ incident(X0,sK0(f,c)) ),
inference(resolution,[],[f1984,f218]) ).
fof(f5580,plain,
spl3_596,
inference(avatar_split_clause,[],[f1693,f4227]) ).
fof(f1693,plain,
incident(sK1(s,r),r),
inference(resolution,[],[f320,f179]) ).
fof(f320,plain,
! [X0] :
( ~ line_equal(X0,X0)
| incident(sK1(X0,r),r) ),
inference(resolution,[],[f177,f95]) ).
fof(f5146,plain,
( spl3_765
| spl3_722 ),
inference(avatar_split_clause,[],[f5130,f4924,f5144]) ).
fof(f5130,plain,
! [X0] :
( line_equal(sK0(c,d),r)
| point_equal(X0,c)
| ~ incident(X0,r)
| ~ incident(X0,sK0(c,d)) ),
inference(resolution,[],[f1485,f200]) ).
fof(f200,plain,
! [X0,X1] :
( ~ incident(c,X1)
| line_equal(X1,r)
| point_equal(X0,c)
| ~ incident(X0,r)
| ~ incident(X0,X1) ),
inference(resolution,[],[f100,f147]) ).
fof(f1485,plain,
incident(c,sK0(c,d)),
inference(resolution,[],[f305,f168]) ).
fof(f305,plain,
! [X0] :
( ~ point_equal(X0,X0)
| incident(c,sK0(c,X0)) ),
inference(resolution,[],[f172,f89]) ).
fof(f4795,plain,
spl3_363,
inference(avatar_split_clause,[],[f1442,f2849]) ).
fof(f1442,plain,
incident(sK1(r,o),o),
inference(resolution,[],[f299,f177]) ).
fof(f299,plain,
! [X0] :
( ~ line_equal(X0,X0)
| incident(sK1(X0,o),o) ),
inference(resolution,[],[f171,f95]) ).
fof(f4253,plain,
( spl3_111
| ~ spl3_116 ),
inference(avatar_split_clause,[],[f4252,f1012,f982]) ).
fof(f4252,plain,
( line_equal(q,p)
| ~ spl3_116 ),
inference(resolution,[],[f1014,f86]) ).
fof(f4249,plain,
( spl3_116
| spl3_600 ),
inference(avatar_split_clause,[],[f4245,f4247,f1012]) ).
fof(f4245,plain,
! [X2,X3,X0,X1,X4,X5] :
( line_equal(X0,s)
| ~ colinear(X1,d,i,X0)
| line_equal(X2,X3)
| colinear(X4,h,i,sK2(X4,h,i))
| ~ colinear(X1,e,X4,X3)
| ~ colinear(b,f,X4,X2)
| line_equal(p,q)
| ~ colinear(a,b,X1,X5) ),
inference(resolution,[],[f1085,f72]) ).
fof(f1085,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ colinear(X5,d,h,X6)
| line_equal(X1,s)
| ~ colinear(X2,d,i,X1)
| line_equal(X3,X4)
| colinear(X0,h,i,sK2(X0,h,i))
| ~ colinear(X2,e,X0,X4)
| ~ colinear(X5,f,X0,X3)
| line_equal(X6,q)
| ~ colinear(a,X5,X2,X7) ),
inference(resolution,[],[f311,f73]) ).
fof(f311,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ colinear(a,e,X3,X6)
| colinear(X2,X3,i,sK2(X2,X3,i))
| line_equal(X4,s)
| ~ colinear(X5,d,i,X4)
| line_equal(X0,X1)
| ~ colinear(X7,d,X3,X8)
| ~ colinear(X5,e,X2,X1)
| ~ colinear(X7,f,X2,X0)
| line_equal(X8,X6)
| ~ colinear(a,X7,X5,X9) ),
inference(resolution,[],[f217,f77]) ).
fof(f217,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ colinear(X8,X9,f,X11)
| line_equal(X2,X3)
| colinear(X4,X5,i,sK2(X4,X5,i))
| line_equal(X6,s)
| ~ colinear(X7,X8,i,X6)
| ~ colinear(a,X9,X5,X1)
| ~ colinear(X10,X8,X5,X0)
| ~ colinear(X7,X9,X4,X3)
| ~ colinear(X10,f,X4,X2)
| line_equal(X0,X1)
| ~ colinear(a,X10,X7,X12) ),
inference(resolution,[],[f101,f75]) ).
fof(f101,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X7,X4,X15,X5,X12,X13] :
( ~ colinear(X0,X5,X8,X16)
| line_equal(X13,X14)
| line_equal(X11,X12)
| colinear(X6,X7,X8,sK2(X6,X7,X8))
| line_equal(X15,X16)
| ~ colinear(X2,X3,X8,X15)
| ~ colinear(X0,X4,X7,X14)
| ~ colinear(X1,X3,X7,X13)
| ~ colinear(X2,X4,X6,X12)
| ~ colinear(X1,X5,X6,X11)
| ~ colinear(X3,X4,X5,X10)
| ~ colinear(X0,X1,X2,X9) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( line_equal(X15,X16)
| line_equal(X13,X14)
| line_equal(X11,X12)
| colinear(X6,X7,X8,sK2(X6,X7,X8))
| ~ colinear(X0,X5,X8,X16)
| ~ colinear(X2,X3,X8,X15)
| ~ colinear(X0,X4,X7,X14)
| ~ colinear(X1,X3,X7,X13)
| ~ colinear(X2,X4,X6,X12)
| ~ colinear(X1,X5,X6,X11)
| ~ colinear(X3,X4,X5,X10)
| ~ colinear(X0,X1,X2,X9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f61,f67]) ).
fof(f67,plain,
! [X6,X7,X8] :
( ? [X17] : colinear(X6,X7,X8,X17)
=> colinear(X6,X7,X8,sK2(X6,X7,X8)) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( line_equal(X15,X16)
| line_equal(X13,X14)
| line_equal(X11,X12)
| ? [X17] : colinear(X6,X7,X8,X17)
| ~ colinear(X0,X5,X8,X16)
| ~ colinear(X2,X3,X8,X15)
| ~ colinear(X0,X4,X7,X14)
| ~ colinear(X1,X3,X7,X13)
| ~ colinear(X2,X4,X6,X12)
| ~ colinear(X1,X5,X6,X11)
| ~ colinear(X3,X4,X5,X10)
| ~ colinear(X0,X1,X2,X9) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( line_equal(X15,X16)
| line_equal(X13,X14)
| line_equal(X11,X12)
| ? [X17] : colinear(X6,X7,X8,X17)
| ~ colinear(X0,X5,X8,X16)
| ~ colinear(X2,X3,X8,X15)
| ~ colinear(X0,X4,X7,X14)
| ~ colinear(X1,X3,X7,X13)
| ~ colinear(X2,X4,X6,X12)
| ~ colinear(X1,X5,X6,X11)
| ~ colinear(X3,X4,X5,X10)
| ~ colinear(X0,X1,X2,X9) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ( colinear(X0,X5,X8,X16)
& colinear(X2,X3,X8,X15)
& colinear(X0,X4,X7,X14)
& colinear(X1,X3,X7,X13)
& colinear(X2,X4,X6,X12)
& colinear(X1,X5,X6,X11)
& colinear(X3,X4,X5,X10)
& colinear(X0,X1,X2,X9) )
=> ( line_equal(X15,X16)
| line_equal(X13,X14)
| line_equal(X11,X12)
| ? [X17] : colinear(X6,X7,X8,X17) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pappus1) ).
fof(f3863,plain,
( spl3_495
| ~ spl3_67 ),
inference(avatar_split_clause,[],[f3862,f746,f3649]) ).
fof(f746,plain,
( spl3_67
<=> ! [X0] :
( point_equal(X0,f)
| ~ incident(X0,m)
| ~ incident(X0,s) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_67])]) ).
fof(f3862,plain,
( point_equal(sK1(s,m),f)
| ~ spl3_67 ),
inference(subsumption_resolution,[],[f3861,f179]) ).
fof(f3861,plain,
( point_equal(sK1(s,m),f)
| ~ line_equal(s,s)
| ~ spl3_67 ),
inference(subsumption_resolution,[],[f3848,f1142]) ).
fof(f3848,plain,
( ~ incident(sK1(s,m),m)
| point_equal(sK1(s,m),f)
| ~ line_equal(s,s)
| ~ spl3_67 ),
inference(resolution,[],[f747,f279]) ).
fof(f747,plain,
( ! [X0] :
( ~ incident(X0,s)
| ~ incident(X0,m)
| point_equal(X0,f) )
| ~ spl3_67 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f2335,plain,
( ~ spl3_276
| spl3_277
| ~ spl3_15 ),
inference(avatar_split_clause,[],[f2318,f376,f2332,f2328]) ).
fof(f2318,plain,
( point_equal(i,a)
| ~ incident(i,l)
| ~ spl3_15 ),
inference(resolution,[],[f377,f166]) ).
fof(f1058,plain,
( spl3_119
| spl3_123 ),
inference(avatar_split_clause,[],[f1050,f1055,f1029]) ).
fof(f1050,plain,
! [X0] :
( line_equal(r,s)
| point_equal(X0,i)
| ~ incident(X0,s)
| ~ incident(X0,r) ),
inference(resolution,[],[f253,f165]) ).
fof(f253,plain,
! [X0,X1] :
( ~ incident(i,X1)
| line_equal(X1,s)
| point_equal(X0,i)
| ~ incident(X0,s)
| ~ incident(X0,X1) ),
inference(resolution,[],[f166,f100]) ).
fof(f1015,plain,
( spl3_110
| spl3_116 ),
inference(avatar_split_clause,[],[f1007,f1012,f979]) ).
fof(f1007,plain,
! [X0] :
( line_equal(p,q)
| point_equal(X0,h)
| ~ incident(X0,q)
| ~ incident(X0,p) ),
inference(resolution,[],[f236,f163]) ).
fof(f236,plain,
! [X0,X1] :
( ~ incident(h,X1)
| line_equal(X1,q)
| point_equal(X0,h)
| ~ incident(X0,q)
| ~ incident(X0,X1) ),
inference(resolution,[],[f164,f100]) ).
fof(f870,plain,
( spl3_67
| spl3_90 ),
inference(avatar_split_clause,[],[f858,f867,f746]) ).
fof(f858,plain,
! [X0] :
( line_equal(s,m)
| point_equal(X0,f)
| ~ incident(X0,m)
| ~ incident(X0,s) ),
inference(resolution,[],[f224,f156]) ).
fof(f224,plain,
! [X0,X1] :
( ~ incident(f,X1)
| line_equal(X1,m)
| point_equal(X0,f)
| ~ incident(X0,m)
| ~ incident(X0,X1) ),
inference(resolution,[],[f160,f100]) ).
fof(f818,plain,
( spl3_36
| spl3_80 ),
inference(avatar_split_clause,[],[f806,f815,f521]) ).
fof(f806,plain,
! [X0] :
( line_equal(r,l)
| point_equal(X0,c)
| ~ incident(X0,l)
| ~ incident(X0,r) ),
inference(resolution,[],[f221,f147]) ).
fof(f221,plain,
! [X0,X1] :
( ~ incident(c,X1)
| line_equal(X1,l)
| point_equal(X0,c)
| ~ incident(X0,l)
| ~ incident(X0,X1) ),
inference(resolution,[],[f159,f100]) ).
fof(f813,plain,
( spl3_33
| spl3_79 ),
inference(avatar_split_clause,[],[f805,f810,f499]) ).
fof(f805,plain,
! [X0] :
( line_equal(o,l)
| point_equal(X0,c)
| ~ incident(X0,l)
| ~ incident(X0,o) ),
inference(resolution,[],[f221,f144]) ).
fof(f650,plain,
( spl3_50
| spl3_53 ),
inference(avatar_split_clause,[],[f638,f647,f620]) ).
fof(f638,plain,
! [X0] :
( line_equal(o,q)
| point_equal(X0,e)
| ~ incident(X0,q)
| ~ incident(X0,o) ),
inference(resolution,[],[f205,f152]) ).
fof(f626,plain,
( spl3_50
| spl3_51 ),
inference(avatar_split_clause,[],[f612,f623,f620]) ).
fof(f612,plain,
! [X0] :
( line_equal(q,o)
| point_equal(X0,e)
| ~ incident(X0,o)
| ~ incident(X0,q) ),
inference(resolution,[],[f204,f154]) ).
fof(f204,plain,
! [X0,X1] :
( ~ incident(e,X1)
| line_equal(X1,o)
| point_equal(X0,e)
| ~ incident(X0,o)
| ~ incident(X0,X1) ),
inference(resolution,[],[f100,f152]) ).
fof(f604,plain,
( spl3_47
| spl3_48 ),
inference(avatar_split_clause,[],[f587,f601,f598]) ).
fof(f587,plain,
! [X0] :
( line_equal(q,m)
| point_equal(X0,e)
| ~ incident(X0,m)
| ~ incident(X0,q) ),
inference(resolution,[],[f203,f154]) ).
fof(f203,plain,
! [X0,X1] :
( ~ incident(e,X1)
| line_equal(X1,m)
| point_equal(X0,e)
| ~ incident(X0,m)
| ~ incident(X0,X1) ),
inference(resolution,[],[f100,f150]) ).
fof(f596,plain,
( spl3_45
| spl3_46 ),
inference(avatar_split_clause,[],[f586,f593,f590]) ).
fof(f586,plain,
! [X0] :
( line_equal(o,m)
| point_equal(X0,e)
| ~ incident(X0,m)
| ~ incident(X0,o) ),
inference(resolution,[],[f203,f152]) ).
fof(f557,plain,
( spl3_40
| spl3_41 ),
inference(avatar_split_clause,[],[f540,f554,f551]) ).
fof(f540,plain,
! [X0] :
( line_equal(r,m)
| point_equal(X0,d)
| ~ incident(X0,m)
| ~ incident(X0,r) ),
inference(resolution,[],[f201,f155]) ).
fof(f201,plain,
! [X0,X1] :
( ~ incident(d,X1)
| line_equal(X1,m)
| point_equal(X0,d)
| ~ incident(X0,m)
| ~ incident(X0,X1) ),
inference(resolution,[],[f100,f142]) ).
fof(f549,plain,
( spl3_38
| spl3_39 ),
inference(avatar_split_clause,[],[f539,f546,f543]) ).
fof(f539,plain,
! [X0] :
( line_equal(p,m)
| point_equal(X0,d)
| ~ incident(X0,m)
| ~ incident(X0,p) ),
inference(resolution,[],[f201,f153]) ).
fof(f519,plain,
( spl3_31
| spl3_35 ),
inference(avatar_split_clause,[],[f511,f516,f491]) ).
fof(f511,plain,
! [X0] :
( line_equal(o,r)
| point_equal(X0,c)
| ~ incident(X0,r)
| ~ incident(X0,o) ),
inference(resolution,[],[f200,f144]) ).
fof(f497,plain,
( spl3_31
| spl3_32 ),
inference(avatar_split_clause,[],[f487,f494,f491]) ).
fof(f487,plain,
! [X0] :
( line_equal(r,o)
| point_equal(X0,c)
| ~ incident(X0,o)
| ~ incident(X0,r) ),
inference(resolution,[],[f199,f147]) ).
fof(f199,plain,
! [X0,X1] :
( ~ incident(c,X1)
| line_equal(X1,o)
| point_equal(X0,c)
| ~ incident(X0,o)
| ~ incident(X0,X1) ),
inference(resolution,[],[f100,f144]) ).
fof(f457,plain,
( spl3_22
| spl3_26 ),
inference(avatar_split_clause,[],[f449,f454,f428]) ).
fof(f449,plain,
! [X0] :
( line_equal(n,p)
| point_equal(X0,b)
| ~ incident(X0,p)
| ~ incident(X0,n) ),
inference(resolution,[],[f197,f143]) ).
fof(f197,plain,
! [X0,X1] :
( ~ incident(b,X1)
| line_equal(X1,p)
| point_equal(X0,b)
| ~ incident(X0,p)
| ~ incident(X0,X1) ),
inference(resolution,[],[f100,f145]) ).
fof(f442,plain,
( spl3_24
| spl3_25 ),
inference(avatar_split_clause,[],[f425,f439,f436]) ).
fof(f425,plain,
! [X0] :
( line_equal(l,n)
| point_equal(X0,b)
| ~ incident(X0,n)
| ~ incident(X0,l) ),
inference(resolution,[],[f196,f149]) ).
fof(f196,plain,
! [X0,X1] :
( ~ incident(b,X1)
| line_equal(X1,n)
| point_equal(X0,b)
| ~ incident(X0,n)
| ~ incident(X0,X1) ),
inference(resolution,[],[f100,f143]) ).
fof(f382,plain,
( spl3_15
| spl3_16 ),
inference(avatar_split_clause,[],[f365,f379,f376]) ).
fof(f365,plain,
! [X0] :
( line_equal(s,l)
| point_equal(X0,a)
| ~ incident(X0,l)
| ~ incident(X0,s) ),
inference(resolution,[],[f193,f148]) ).
fof(f193,plain,
! [X0,X1] :
( ~ incident(a,X1)
| line_equal(X1,l)
| point_equal(X0,a)
| ~ incident(X0,l)
| ~ incident(X0,X1) ),
inference(resolution,[],[f100,f141]) ).
fof(f374,plain,
( spl3_13
| spl3_14 ),
inference(avatar_split_clause,[],[f364,f371,f368]) ).
fof(f364,plain,
! [X0] :
( line_equal(q,l)
| point_equal(X0,a)
| ~ incident(X0,l)
| ~ incident(X0,q) ),
inference(resolution,[],[f193,f146]) ).
fof(f264,plain,
( ~ spl3_11
| ~ spl3_12
| ~ spl3_8 ),
inference(avatar_split_clause,[],[f252,f137,f261,f257]) ).
fof(f252,plain,
( ~ incident(g,s)
| ~ incident(h,s)
| ~ spl3_8 ),
inference(resolution,[],[f166,f138]) ).
fof(f140,plain,
~ spl3_2,
inference(avatar_split_clause,[],[f69,f107]) ).
fof(f107,plain,
( spl3_2
<=> goal ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f69,plain,
~ goal,
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
~ goal,
inference(flattening,[],[f28]) ).
fof(f28,negated_conjecture,
~ goal,
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
goal,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_to_be_proved) ).
fof(f139,plain,
( spl3_8
| spl3_2 ),
inference(avatar_split_clause,[],[f84,f107,f137]) ).
fof(f84,plain,
! [X0] :
( goal
| ~ incident(i,X0)
| ~ incident(h,X0)
| ~ incident(g,X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( goal
| ~ incident(i,X0)
| ~ incident(h,X0)
| ~ incident(g,X0) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X0] :
( goal
| ~ incident(i,X0)
| ~ incident(h,X0)
| ~ incident(g,X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ( incident(i,X0)
& incident(h,X0)
& incident(g,X0) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal4) ).
fof(f135,plain,
( ~ spl3_7
| spl3_2 ),
inference(avatar_split_clause,[],[f83,f107,f132]) ).
fof(f83,plain,
( goal
| ~ incident(c,m) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( goal
| ~ incident(c,m) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
( incident(c,m)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goalcm) ).
fof(f130,plain,
( ~ spl3_6
| spl3_2 ),
inference(avatar_split_clause,[],[f82,f107,f127]) ).
fof(f82,plain,
( goal
| ~ incident(f,l) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( goal
| ~ incident(f,l) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
( incident(f,l)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goalfl) ).
fof(f125,plain,
( ~ spl3_5
| spl3_2 ),
inference(avatar_split_clause,[],[f81,f107,f122]) ).
fof(f81,plain,
( goal
| ~ incident(e,l) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( goal
| ~ incident(e,l) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
( incident(e,l)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goalel) ).
fof(f120,plain,
( ~ spl3_4
| spl3_2 ),
inference(avatar_split_clause,[],[f80,f107,f117]) ).
fof(f80,plain,
( goal
| ~ incident(d,l) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( goal
| ~ incident(d,l) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
( incident(d,l)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goaldl) ).
fof(f115,plain,
( ~ spl3_3
| spl3_2 ),
inference(avatar_split_clause,[],[f79,f107,f112]) ).
fof(f79,plain,
( goal
| ~ incident(b,m) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( goal
| ~ incident(b,m) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
( incident(b,m)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goalbm) ).
fof(f110,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f78,f107,f103]) ).
fof(f78,plain,
( goal
| ~ incident(a,m) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( goal
| ~ incident(a,m) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
( incident(a,m)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goalam) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : GEO168+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n003.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Apr 30 05:43:48 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.32 % (12860)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (12863)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)
% 0.16/0.33 % (12867)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)
% 0.16/0.33 % (12865)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.33 % (12864)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.33 % (12866)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.33 % (12862)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.33 % (12861)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [1,1]
% 0.16/0.33 TRYING [1,1]
% 0.16/0.33 TRYING [2]
% 0.16/0.34 TRYING [2,1]
% 0.16/0.34 TRYING [2,1]
% 0.16/0.34 TRYING [3]
% 0.16/0.34 TRYING [3]
% 0.16/0.34 TRYING [3,1]
% 0.16/0.34 TRYING [3,1]
% 0.16/0.38 TRYING [4]
% 0.16/0.38 TRYING [4]
% 0.16/0.46 TRYING [2,2]
% 0.16/0.47 TRYING [3,2]
% 0.16/0.47 TRYING [2,2]
% 0.16/0.47 TRYING [3,2]
% 0.16/0.50 TRYING [4,2]
% 0.16/0.51 TRYING [4,2]
% 2.40/0.66 TRYING [5]
% 2.85/0.74 TRYING [5]
% 3.20/0.78 TRYING [3,3]
% 3.20/0.80 TRYING [3,3]
% 3.20/0.83 TRYING [4,3]
% 3.20/0.84 TRYING [4,3]
% 5.38/1.12 TRYING [5,2]
% 5.38/1.14 TRYING [5,2]
% 13.81/2.29 TRYING [6]
% 18.25/2.92 TRYING [5,3]
% 18.25/2.93 TRYING [5,3]
% 21.89/3.49 TRYING [6]
% 29.91/4.63 TRYING [4,4]
% 30.28/4.63 TRYING [4,4]
% 32.33/4.97 TRYING [5,4]
% 32.33/4.98 TRYING [5,4]
% 45.23/6.79 TRYING [6,2]
% 45.23/6.84 TRYING [6,2]
% 62.13/9.21 TRYING [7]
% 96.50/14.18 TRYING [6,3]
% 98.59/14.45 TRYING [6,3]
% 120.20/17.55 TRYING [7]
% 137.45/20.01 % (12866)First to succeed.
% 137.45/20.07 % (12866)Refutation found. Thanks to Tanya!
% 137.45/20.07 % SZS status Theorem for theBenchmark
% 137.45/20.07 % SZS output start Proof for theBenchmark
% See solution above
% 137.45/20.08 % (12866)------------------------------
% 137.45/20.08 % (12866)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 137.45/20.08 % (12866)Termination reason: Refutation
% 137.45/20.08
% 137.45/20.08 % (12866)Memory used [KB]: 73104
% 137.45/20.08 % (12866)Time elapsed: 19.715 s
% 137.45/20.08 % (12866)Instructions burned: 38280 (million)
% 137.45/20.08 % (12866)------------------------------
% 137.45/20.08 % (12866)------------------------------
% 137.45/20.08 % (12860)Success in time 19.709 s
%------------------------------------------------------------------------------