TSTP Solution File: GEO317+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GEO317+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:32:35 EDT 2023
% Result : Theorem 440.96s 56.55s
% Output : CNFRefutation 440.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 49
% Syntax : Number of formulae : 342 ( 81 unt; 0 def)
% Number of atoms : 1819 ( 685 equ)
% Maximal formula atoms : 43 ( 5 avg)
% Number of connectives : 2572 (1095 ~;1164 |; 271 &)
% ( 8 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 15 con; 0-3 aty)
% Number of variables : 811 ( 0 sgn; 287 !; 66 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))',axiom,
! [X117,X118,X119] :
( ( rR(X118,X117,X119)
& ? [X120] :
( X119 = X120
& rpoint(X120) )
& ? [X121] :
( X118 = X121
& rpoint(X121) )
& ? [X122] :
( X117 = X122
& rpoint(X122) ) )
=> ( ~ rR(X117,X118,X119)
& X117 != X119
& X117 != X118
& rR(X118,X119,X117) ) ),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof('and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))',axiom,
( vf(vd1287,vd1288) = vf(vd1287,vd1289)
& vd1288 != vd1289
& vd1287 != vd1289
& vd1287 != vd1288
& ? [X26] :
( vd1289 = X26
& rpoint(X26) )
& ? [X27] :
( vd1288 = X27
& rpoint(X27) )
& ? [X28] :
( vd1287 = X28
& rpoint(X28) ) ),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))') ).
fof('qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))',axiom,
! [X220,X221,X222,X223] :
( ( ron(X221,X223)
& ron(X221,X222)
& ron(X220,X223)
& ron(X220,X222)
& ? [X224] :
( X223 = X224
& rline(X224) )
& ? [X225] :
( X222 = X225
& rline(X225) )
& X220 != X221
& ? [X226] :
( X221 = X226
& rpoint(X226) )
& ? [X227] :
( X220 = X227
& rpoint(X227) ) )
=> X222 = X223 ),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).
fof('qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))',axiom,
! [X109,X110,X111,X112,X113] :
( ( X112 = X113
& ron(X110,X112)
& ron(X109,X112)
& rR(X110,X109,X111)
& rline(X113)
& ? [X114] :
( X111 = X114
& rpoint(X114) )
& ? [X115] :
( X110 = X115
& rpoint(X115) )
& ? [X116] :
( X109 = X116
& rpoint(X116) ) )
=> ron(X111,X112) ),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))') ).
fof('and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))',axiom,
( vd1302 = vd1303
& rR(vd1289,vd1287,vd1302)
& rpoint(vd1303)
& rR(vd1288,vd1287,vd1299) ),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))') ).
fof('qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))',axiom,
! [X184,X185] :
( ( X184 = X185
& rreal(X185) )
=> ~ rless(X184,X184) ),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))') ).
fof('qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))',axiom,
! [X305,X306,X307,X308,X309,X310] :
( ( rless(X305,X307)
& X309 = X310
& rreal(X310)
& X307 = X308
& rreal(X308)
& X305 = X306
& rreal(X306) )
=> rless(vplus(X305,X309),vplus(X307,X309)) ),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))') ).
fof('qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))',axiom,
! [X245,X246] :
( ( X245 = X246
& rreal(X246) )
=> vplus(X245,v0) = X245 ),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))') ).
fof('qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))',axiom,
! [X179,X180] :
( ( ? [X181] :
( X180 = X181
& rpoint(X181) )
& ? [X182] :
( X179 = X182
& rpoint(X182) ) )
=> ? [X183] :
( vf(X179,X180) = X183
& rreal(X183) ) ),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).
fof('qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))',axiom,
! [X280,X281] :
( ( X280 != X281
& ? [X282] :
( X281 = X282
& rpoint(X282) )
& ? [X283] :
( X280 = X283
& rpoint(X283) ) )
=> ? [X284] :
( ron(X281,X284)
& rcenter(X280,X284)
& rcircle(X284) ) ),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))') ).
fof('qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))',axiom,
! [X133,X134] :
( ( X133 != X134
& ? [X135] :
( X134 = X135
& rpoint(X135) )
& ? [X136] :
( X133 = X136
& rpoint(X136) ) )
=> ? [X137] :
( ron(X134,X137)
& ron(X133,X137)
& rline(X137) ) ),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).
fof('pred(axiom(137), 1)',axiom,
rreal(vd684),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','pred(axiom(137), 1)') ).
fof('pred(axiom(137), 2)',axiom,
v0 = vd684,
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','pred(axiom(137), 2)') ).
fof('qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))',axiom,
! [X241,X242,X243,X244] :
( ( X243 = X244
& rreal(X244)
& X241 = X242
& rreal(X242) )
=> vplus(X241,X243) = vplus(X243,X241) ),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))') ).
fof('qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))',axiom,
! [X285,X286,X287] :
( ( rR(X286,X285,X287)
& ? [X288] :
( X287 = X288
& rpoint(X288) )
& ? [X289] :
( X286 = X289
& rpoint(X289) )
& ? [X290] :
( X285 = X290
& rpoint(X290) ) )
=> vplus(vf(X285,X286),vf(X286,X287)) = vf(X285,X287) ),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))') ).
fof('qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))',axiom,
! [X69,X70,X71,X72] :
( ( ron(X70,X72)
& rcenter(X71,X72)
& ? [X73] :
( X70 = X73
& rpoint(X73) )
& ? [X74] :
( X69 = X74
& rpoint(X74) ) )
=> ( rless(vf(X71,X69),vf(X71,X70))
<=> rinside(X69,X72) ) ),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))') ).
fof('qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))',axiom,
! [X495,X496] :
( rcenter(X495,X496)
=> rinside(X495,X496) ),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).
fof('ass(cond(156, 0), 0)',axiom,
! [X235,X236,X237,X238,X239,X240] :
( ( vplus(X235,X239) = vplus(X237,X239)
& X239 = X240
& rreal(X240)
& X237 = X238
& rreal(X238)
& X235 = X236
& rreal(X236) )
=> X235 = X237 ),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','ass(cond(156, 0), 0)') ).
fof('qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))',axiom,
! [X43,X44] :
( ( ? [X45] :
( X44 = X45
& rpoint(X45) )
& ? [X46] :
( X43 = X46
& rpoint(X46) ) )
=> vf(X43,X44) = vf(X44,X43) ),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof('pred(conjunct1(conjunct2(conjunct2(conjunct2(354)))), 0)',axiom,
ron(vd1306,vd1297),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','pred(conjunct1(conjunct2(conjunct2(conjunct2(354)))), 0)') ).
fof('pred(352, 0)',axiom,
rpoint(vd1306),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','pred(352, 0)') ).
fof('pred(347, 0)',axiom,
rline(vd1297),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','pred(347, 0)') ).
fof('qu(cond(axiom(200), 0), imp(cond(axiom(200), 0)))',axiom,
! [X696,X697,X698,X699,X700] :
( ( ron(X697,X699)
& ron(X696,X699)
& X696 != X697
& X699 = X700
& rline(X700)
& ? [X701] :
( X698 = X701
& rpoint(X701) )
& ? [X702] :
( X697 = X702
& rpoint(X702) )
& ? [X703] :
( X696 = X703
& rpoint(X703) ) )
=> ( vg(X696,X697,X698) = v0
<=> ron(X698,X699) ) ),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','qu(cond(axiom(200), 0), imp(cond(axiom(200), 0)))') ).
fof('pred(s1(plural(347)), 0)',axiom,
ron(vd1287,vd1297),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','pred(s1(plural(347)), 0)') ).
fof('holds(conjunct2(conjunct2(conjunct2(355))), 1309, 0)',axiom,
vd1306 != vd1287,
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','holds(conjunct2(conjunct2(conjunct2(355))), 1309, 0)') ).
fof('pred(348, 1)',axiom,
rpoint(vd1300),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','pred(348, 1)') ).
fof('pred(348, 4)',axiom,
vd1299 = vd1300,
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','pred(348, 4)') ).
fof('qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))',axiom,
! [X212,X213,X214,X215,X216] :
( ( X215 = X216
& ron(X214,X215)
& ron(X212,X215)
& rR(X213,X212,X214)
& rline(X216)
& ? [X217] :
( X214 = X217
& rpoint(X217) )
& ? [X218] :
( X213 = X218
& rpoint(X218) )
& ? [X219] :
( X212 = X219
& rpoint(X219) ) )
=> ron(X213,X215) ),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))') ).
fof('pred(conjunct1(349), 0)',axiom,
ron(vd1299,vd1295),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','pred(conjunct1(349), 0)') ).
fof('pred(346, 0)',axiom,
rline(vd1295),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','pred(346, 0)') ).
fof('qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))',axiom,
! [X129,X130] :
( ( ? [X131] :
( X130 = X131
& rpoint(X131) )
& ? [X132] :
( X129 = X132
& rpoint(X132) ) )
=> ( vf(X129,X130) = v0
<=> X129 = X130 ) ),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
fof('qu(cond(axiom(176), 0), imp(cond(axiom(176), 0)))',axiom,
! [X739,X740,X741] :
( ( ? [X742] :
( X741 = X742
& rpoint(X742) )
& ? [X743] :
( X740 = X743
& rpoint(X743) )
& ? [X744] :
( X739 = X744
& rpoint(X744) ) )
=> ( vg(X739,X740,X741) = vg(X739,X741,X740)
& vg(X739,X740,X741) = vg(X741,X739,X740) ) ),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','qu(cond(axiom(176), 0), imp(cond(axiom(176), 0)))') ).
fof('pred(s1(plural(346)), 0)',axiom,
ron(vd1287,vd1295),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','pred(s1(plural(346)), 0)') ).
fof('holds(conjunct1(conjunct2(conjunct2(355))), 1311, 0)',axiom,
vd1299 != vd1287,
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','holds(conjunct1(conjunct2(conjunct2(355))), 1311, 0)') ).
fof('holds(conjunct1(352), 1307, 0)',axiom,
rR(vd1306,vd1287,vd1302),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','holds(conjunct1(352), 1307, 0)') ).
fof('qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))',axiom,
! [X47,X48,X49,X50,X51,X52,X53,X54] :
( ( ron(X49,X53)
& ron(X47,X53)
& X47 != X51
& X47 != X49
& X53 = X54
& rline(X54)
& X51 = X52
& rpoint(X52)
& X49 = X50
& rpoint(X50)
& X47 = X48
& rpoint(X48) )
=> ( ( ~ rR(X47,X49,X51)
& ron(X51,X53) )
<=> vangle(X49,X47,X51) = v0 ) ),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).
fof('qu(cond(axiom(123), 0), imp(cond(axiom(123), 0)))',axiom,
! [X362,X363,X364,X365,X366] :
( ( rR(X364,X362,X363)
& ~ rinside(X364,X365)
& ( ron(X362,X365)
| rinside(X362,X365) )
& X365 = X366
& rcircle(X366)
& ? [X367] :
( X364 = X367
& rpoint(X367) )
& ? [X368] :
( X363 = X368
& rpoint(X368) )
& ? [X369] :
( X362 = X369
& rpoint(X369) ) )
=> ( ~ ron(X363,X365)
& ~ ron(X363,X365) ) ),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','qu(cond(axiom(123), 0), imp(cond(axiom(123), 0)))') ).
fof('pred(conjunct2(349), 0)',axiom,
ron(vd1302,vd1297),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','pred(conjunct2(349), 0)') ).
fof('pred(s2(plural(347)), 0)',axiom,
ron(vd1289,vd1297),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','pred(s2(plural(347)), 0)') ).
fof('qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))',axiom,
! [X261,X262,X263,X264] :
( ( rinside(X261,X263)
& X263 = X264
& rcircle(X264)
& X261 = X262
& rpoint(X262) )
=> ~ ron(X261,X263) ),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))') ).
fof('holds(conjunct1(conjunct2(conjunct2(353))), 1310, 0)',axiom,
vd1306 != vd1302,
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','holds(conjunct1(conjunct2(conjunct2(353))), 1310, 0)') ).
fof('qu(cond(axiom(145), 0), imp(cond(axiom(145), 0)))',axiom,
! [X317,X318,X319,X320] :
( ( X319 = X320
& rreal(X320)
& X317 = X318
& rreal(X318) )
=> ( rless(X317,X319)
| X317 = X319
| rless(X319,X317) ) ),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','qu(cond(axiom(145), 0), imp(cond(axiom(145), 0)))') ).
fof('qu(cond(axiom(139), 0), imp(cond(axiom(139), 0)))',axiom,
! [X321,X322,X323,X324] :
( ( X323 = X324
& rreal(X324)
& X321 = X322
& rreal(X322) )
=> ? [X325] :
( vplus(X321,X323) = X325
& rreal(X325) ) ),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','qu(cond(axiom(139), 0), imp(cond(axiom(139), 0)))') ).
fof('qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))',axiom,
! [X123,X124,X125,X126,X127,X128] :
( ( ron(X127,X126)
& X127 = X128
& rpoint(X128)
& rcenter(X125,X126)
& X123 = X124
& rpoint(X124) )
=> ( vf(X125,X123) = vf(X125,X127)
<=> ron(X123,X126) ) ),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))') ).
fof('qu(cond(axiom(202), 0), imp(cond(axiom(202), 0)))',axiom,
! [X295,X296,X297,X298,X299,X300] :
( ( ~ ron(X298,X299)
& X299 = X300
& rline(X300)
& X297 != X298
& X296 != X298
& X296 != X297
& X295 != X298
& X295 != X297
& X295 != X296
& ? [X301] :
( X298 = X301
& rpoint(X301) )
& ? [X302] :
( X297 = X302
& rpoint(X302) )
& ? [X303] :
( X296 = X303
& rpoint(X303) )
& ? [X304] :
( X295 = X304
& rpoint(X304) ) )
=> ( rR(X297,X295,X296)
<=> vplus(vg(X295,X297,X298),vg(X298,X297,X296)) = vg(X295,X298,X296) ) ),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','qu(cond(axiom(202), 0), imp(cond(axiom(202), 0)))') ).
fof('holds(364, 1327, 0)',conjecture,
vangle(vd1287,vd1289,vd1288) = vangle(vd1287,vd1288,vd1289),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','holds(364, 1327, 0)') ).
fof('pred(s2(plural(346)), 0)',axiom,
ron(vd1288,vd1295),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','pred(s2(plural(346)), 0)') ).
fof('qu(cond(axiom(93), 0), imp(cond(axiom(93), 0)))',axiom,
! [X479,X480,X481,X482] :
( ( rR(X480,X479,X482)
& rR(X480,X479,X481)
& ? [X483] :
( X482 = X483
& rpoint(X483) )
& ? [X484] :
( X481 = X484
& rpoint(X484) )
& ? [X485] :
( X480 = X485
& rpoint(X485) )
& ? [X486] :
( X479 = X486
& rpoint(X486) ) )
=> ~ rR(X480,X481,X482) ),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','qu(cond(axiom(93), 0), imp(cond(axiom(93), 0)))') ).
fof('holds(conjunct2(352), 1308, 0)',axiom,
vf(vd1287,vd1299) = vf(vd1287,vd1306),
file('/export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p','holds(conjunct2(352), 1308, 0)') ).
fof(c_0_49,plain,
! [X117,X118,X119] :
( ( rR(X118,X117,X119)
& ? [X120] :
( X119 = X120
& rpoint(X120) )
& ? [X121] :
( X118 = X121
& rpoint(X121) )
& ? [X122] :
( X117 = X122
& rpoint(X122) ) )
=> ( ~ rR(X117,X118,X119)
& X117 != X119
& X117 != X118
& rR(X118,X119,X117) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))']) ).
fof(c_0_50,plain,
! [X933,X934,X935,X936,X937,X938] :
( ( ~ rR(X933,X934,X935)
| ~ rR(X934,X933,X935)
| X935 != X936
| ~ rpoint(X936)
| X934 != X937
| ~ rpoint(X937)
| X933 != X938
| ~ rpoint(X938) )
& ( X933 != X935
| ~ rR(X934,X933,X935)
| X935 != X936
| ~ rpoint(X936)
| X934 != X937
| ~ rpoint(X937)
| X933 != X938
| ~ rpoint(X938) )
& ( X933 != X934
| ~ rR(X934,X933,X935)
| X935 != X936
| ~ rpoint(X936)
| X934 != X937
| ~ rpoint(X937)
| X933 != X938
| ~ rpoint(X938) )
& ( rR(X934,X935,X933)
| ~ rR(X934,X933,X935)
| X935 != X936
| ~ rpoint(X936)
| X934 != X937
| ~ rpoint(X937)
| X933 != X938
| ~ rpoint(X938) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])])]) ).
fof(c_0_51,plain,
( vf(vd1287,vd1288) = vf(vd1287,vd1289)
& vd1288 != vd1289
& vd1287 != vd1289
& vd1287 != vd1288
& vd1289 = esk4_0
& rpoint(esk4_0)
& vd1288 = esk5_0
& rpoint(esk5_0)
& vd1287 = esk6_0
& rpoint(esk6_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))'])]) ).
fof(c_0_52,plain,
! [X1036,X1037,X1038,X1039,X1040,X1041,X1042,X1043] :
( ~ ron(X1037,X1039)
| ~ ron(X1037,X1038)
| ~ ron(X1036,X1039)
| ~ ron(X1036,X1038)
| X1039 != X1040
| ~ rline(X1040)
| X1038 != X1041
| ~ rline(X1041)
| X1036 = X1037
| X1037 != X1042
| ~ rpoint(X1042)
| X1036 != X1043
| ~ rpoint(X1043)
| X1038 = X1039 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))'])])]) ).
fof(c_0_53,plain,
! [X925,X926,X927,X928,X929,X930,X931,X932] :
( X928 != X929
| ~ ron(X926,X928)
| ~ ron(X925,X928)
| ~ rR(X926,X925,X927)
| ~ rline(X929)
| X927 != X930
| ~ rpoint(X930)
| X926 != X931
| ~ rpoint(X931)
| X925 != X932
| ~ rpoint(X932)
| ron(X927,X928) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))'])])]) ).
cnf(c_0_54,plain,
( rR(X1,X2,X3)
| ~ rR(X1,X3,X2)
| X2 != X4
| ~ rpoint(X4)
| X1 != X5
| ~ rpoint(X5)
| X3 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_55,plain,
rpoint(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_56,plain,
vd1287 = esk6_0,
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_57,plain,
rpoint(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_58,plain,
vd1289 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_59,plain,
rpoint(vd1303),
inference(split_conjunct,[status(thm)],['and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))']) ).
cnf(c_0_60,plain,
vd1302 = vd1303,
inference(split_conjunct,[status(thm)],['and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))']) ).
fof(c_0_61,plain,
! [X184,X185] :
( ( X184 = X185
& rreal(X185) )
=> ~ rless(X184,X184) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))']) ).
fof(c_0_62,plain,
! [X1121,X1122,X1123,X1124,X1125,X1126] :
( ~ rless(X1121,X1123)
| X1125 != X1126
| ~ rreal(X1126)
| X1123 != X1124
| ~ rreal(X1124)
| X1121 != X1122
| ~ rreal(X1122)
| rless(vplus(X1121,X1125),vplus(X1123,X1125)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))'])]) ).
fof(c_0_63,plain,
! [X1061,X1062] :
( X1061 != X1062
| ~ rreal(X1062)
| vplus(X1061,v0) = X1061 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))'])]) ).
fof(c_0_64,plain,
! [X995,X996,X997,X998] :
( ( vf(X995,X996) = esk11_2(X995,X996)
| X996 != X997
| ~ rpoint(X997)
| X995 != X998
| ~ rpoint(X998) )
& ( rreal(esk11_2(X995,X996))
| X996 != X997
| ~ rpoint(X997)
| X995 != X998
| ~ rpoint(X998) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))'])])])])]) ).
fof(c_0_65,plain,
! [X1096,X1097,X1098,X1099] :
( ( ron(X1097,esk15_2(X1096,X1097))
| X1096 = X1097
| X1097 != X1098
| ~ rpoint(X1098)
| X1096 != X1099
| ~ rpoint(X1099) )
& ( rcenter(X1096,esk15_2(X1096,X1097))
| X1096 = X1097
| X1097 != X1098
| ~ rpoint(X1098)
| X1096 != X1099
| ~ rpoint(X1099) )
& ( rcircle(esk15_2(X1096,X1097))
| X1096 = X1097
| X1097 != X1098
| ~ rpoint(X1098)
| X1096 != X1099
| ~ rpoint(X1099) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))'])])])])]) ).
cnf(c_0_66,plain,
( X4 = X1
| X3 = X2
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X4,X2)
| ~ ron(X4,X3)
| X2 != X5
| ~ rline(X5)
| X3 != X6
| ~ rline(X6)
| X1 != X7
| ~ rpoint(X7)
| X4 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
fof(c_0_67,plain,
! [X949,X950,X951,X952] :
( ( ron(X950,esk7_2(X949,X950))
| X949 = X950
| X950 != X951
| ~ rpoint(X951)
| X949 != X952
| ~ rpoint(X952) )
& ( ron(X949,esk7_2(X949,X950))
| X949 = X950
| X950 != X951
| ~ rpoint(X951)
| X949 != X952
| ~ rpoint(X952) )
& ( rline(esk7_2(X949,X950))
| X949 = X950
| X950 != X951
| ~ rpoint(X951)
| X949 != X952
| ~ rpoint(X952) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))'])])])])]) ).
cnf(c_0_68,plain,
( ron(X5,X1)
| X1 != X2
| ~ ron(X3,X1)
| ~ ron(X4,X1)
| ~ rR(X3,X4,X5)
| ~ rline(X2)
| X5 != X6
| ~ rpoint(X6)
| X3 != X7
| ~ rpoint(X7)
| X4 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_69,plain,
( rR(X1,X2,X3)
| ~ rR(X1,X3,X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_54])])]) ).
cnf(c_0_70,plain,
rR(vd1289,vd1287,vd1302),
inference(split_conjunct,[status(thm)],['and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))']) ).
cnf(c_0_71,plain,
rpoint(vd1287),
inference(rw,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_72,plain,
rpoint(vd1289),
inference(rw,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_73,plain,
rpoint(vd1302),
inference(rw,[status(thm)],[c_0_59,c_0_60]) ).
fof(c_0_74,plain,
! [X1000,X1001] :
( X1000 != X1001
| ~ rreal(X1001)
| ~ rless(X1000,X1000) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])]) ).
cnf(c_0_75,plain,
( rless(vplus(X1,X3),vplus(X2,X3))
| ~ rless(X1,X2)
| X3 != X4
| ~ rreal(X4)
| X2 != X5
| ~ rreal(X5)
| X1 != X6
| ~ rreal(X6) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_76,plain,
( vplus(X1,v0) = X1
| X1 != X2
| ~ rreal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_77,plain,
rreal(vd684),
inference(split_conjunct,[status(thm)],['pred(axiom(137), 1)']) ).
cnf(c_0_78,plain,
v0 = vd684,
inference(split_conjunct,[status(thm)],['pred(axiom(137), 2)']) ).
fof(c_0_79,plain,
! [X1057,X1058,X1059,X1060] :
( X1059 != X1060
| ~ rreal(X1060)
| X1057 != X1058
| ~ rreal(X1058)
| vplus(X1057,X1059) = vplus(X1059,X1057) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))'])]) ).
fof(c_0_80,plain,
! [X1101,X1102,X1103,X1104,X1105,X1106] :
( ~ rR(X1102,X1101,X1103)
| X1103 != X1104
| ~ rpoint(X1104)
| X1102 != X1105
| ~ rpoint(X1105)
| X1101 != X1106
| ~ rpoint(X1106)
| vplus(vf(X1101,X1102),vf(X1102,X1103)) = vf(X1101,X1103) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))'])])]) ).
cnf(c_0_81,plain,
( rreal(esk11_2(X1,X2))
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_82,plain,
( vf(X1,X2) = esk11_2(X1,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
fof(c_0_83,plain,
! [X877,X878,X879,X880,X881,X882] :
( ( ~ rless(vf(X879,X877),vf(X879,X878))
| rinside(X877,X880)
| ~ ron(X878,X880)
| ~ rcenter(X879,X880)
| X878 != X881
| ~ rpoint(X881)
| X877 != X882
| ~ rpoint(X882) )
& ( ~ rinside(X877,X880)
| rless(vf(X879,X877),vf(X879,X878))
| ~ ron(X878,X880)
| ~ rcenter(X879,X880)
| X878 != X881
| ~ rpoint(X881)
| X877 != X882
| ~ rpoint(X882) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))'])])])]) ).
fof(c_0_84,plain,
! [X1311,X1312] :
( ~ rcenter(X1311,X1312)
| rinside(X1311,X1312) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))'])]) ).
cnf(c_0_85,plain,
( rcenter(X1,esk15_2(X1,X2))
| X1 = X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
fof(c_0_86,plain,
! [X1051,X1052,X1053,X1054,X1055,X1056] :
( vplus(X1051,X1055) != vplus(X1053,X1055)
| X1055 != X1056
| ~ rreal(X1056)
| X1053 != X1054
| ~ rreal(X1054)
| X1051 != X1052
| ~ rreal(X1052)
| X1051 = X1053 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(156, 0), 0)'])]) ).
fof(c_0_87,plain,
! [X829,X830,X831,X832] :
( X830 != X831
| ~ rpoint(X831)
| X829 != X832
| ~ rpoint(X832)
| vf(X829,X830) = vf(X830,X829) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))'])])]) ).
cnf(c_0_88,plain,
( X1 = X2
| X3 = X4
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rline(X2)
| ~ rline(X1)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,X2)
| ~ ron(X3,X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_66])])])]) ).
cnf(c_0_89,plain,
ron(vd1306,vd1297),
inference(split_conjunct,[status(thm)],['pred(conjunct1(conjunct2(conjunct2(conjunct2(354)))), 0)']) ).
cnf(c_0_90,plain,
rpoint(vd1306),
inference(split_conjunct,[status(thm)],['pred(352, 0)']) ).
cnf(c_0_91,plain,
rline(vd1297),
inference(split_conjunct,[status(thm)],['pred(347, 0)']) ).
cnf(c_0_92,plain,
( ron(X1,esk7_2(X1,X2))
| X1 = X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_93,plain,
( rline(esk7_2(X1,X2))
| X1 = X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_94,plain,
( ron(X1,X2)
| ~ rR(X3,X4,X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rline(X2)
| ~ ron(X4,X2)
| ~ ron(X3,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_68])])])]) ).
cnf(c_0_95,plain,
rR(vd1289,vd1302,vd1287),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).
cnf(c_0_96,plain,
( X1 != X2
| ~ rreal(X2)
| ~ rless(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_97,plain,
( rless(vplus(X1,X2),vplus(X3,X2))
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X2)
| ~ rless(X1,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_75])])]) ).
cnf(c_0_98,plain,
( vplus(X1,v0) = X1
| ~ rreal(X1) ),
inference(er,[status(thm)],[c_0_76]) ).
cnf(c_0_99,plain,
rreal(v0),
inference(rw,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_100,plain,
( vplus(X3,X1) = vplus(X1,X3)
| X1 != X2
| ~ rreal(X2)
| X3 != X4
| ~ rreal(X4) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_101,plain,
( vplus(vf(X2,X1),vf(X1,X3)) = vf(X2,X3)
| ~ rR(X1,X2,X3)
| X3 != X4
| ~ rpoint(X4)
| X1 != X5
| ~ rpoint(X5)
| X2 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_102,plain,
rpoint(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_103,plain,
vd1288 = esk5_0,
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_104,plain,
( rreal(esk11_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_81])]) ).
cnf(c_0_105,plain,
( esk11_2(X1,X2) = vf(X1,X2)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_82])]) ).
cnf(c_0_106,plain,
( rless(vf(X3,X1),vf(X3,X4))
| ~ rinside(X1,X2)
| ~ ron(X4,X2)
| ~ rcenter(X3,X2)
| X4 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_107,plain,
( rinside(X1,X2)
| ~ rcenter(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_108,plain,
( X1 = X2
| rcenter(X1,esk15_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_85])]) ).
cnf(c_0_109,plain,
( X1 = X3
| vplus(X1,X2) != vplus(X3,X2)
| X2 != X4
| ~ rreal(X4)
| X3 != X5
| ~ rreal(X5)
| X1 != X6
| ~ rreal(X6) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_110,plain,
( vf(X3,X1) = vf(X1,X3)
| X1 != X2
| ~ rpoint(X2)
| X3 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
fof(c_0_111,plain,
! [X1512,X1513,X1514,X1515,X1516,X1517,X1518,X1519] :
( ( vg(X1512,X1513,X1514) != v0
| ron(X1514,X1515)
| ~ ron(X1513,X1515)
| ~ ron(X1512,X1515)
| X1512 = X1513
| X1515 != X1516
| ~ rline(X1516)
| X1514 != X1517
| ~ rpoint(X1517)
| X1513 != X1518
| ~ rpoint(X1518)
| X1512 != X1519
| ~ rpoint(X1519) )
& ( ~ ron(X1514,X1515)
| vg(X1512,X1513,X1514) = v0
| ~ ron(X1513,X1515)
| ~ ron(X1512,X1515)
| X1512 = X1513
| X1515 != X1516
| ~ rline(X1516)
| X1514 != X1517
| ~ rpoint(X1517)
| X1513 != X1518
| ~ rpoint(X1518)
| X1512 != X1519
| ~ rpoint(X1519) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(200), 0), imp(cond(axiom(200), 0)))'])])])]) ).
cnf(c_0_112,plain,
( X1 = vd1297
| X2 = vd1306
| ~ rpoint(X2)
| ~ rline(X1)
| ~ ron(vd1306,X1)
| ~ ron(X2,vd1297)
| ~ ron(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]),c_0_91])]) ).
cnf(c_0_113,plain,
ron(vd1287,vd1297),
inference(split_conjunct,[status(thm)],['pred(s1(plural(347)), 0)']) ).
cnf(c_0_114,plain,
vd1306 != vd1287,
inference(split_conjunct,[status(thm)],['holds(conjunct2(conjunct2(conjunct2(355))), 1309, 0)']) ).
cnf(c_0_115,plain,
rpoint(vd1300),
inference(split_conjunct,[status(thm)],['pred(348, 1)']) ).
cnf(c_0_116,plain,
vd1299 = vd1300,
inference(split_conjunct,[status(thm)],['pred(348, 4)']) ).
fof(c_0_117,plain,
! [X1028,X1029,X1030,X1031,X1032,X1033,X1034,X1035] :
( X1031 != X1032
| ~ ron(X1030,X1031)
| ~ ron(X1028,X1031)
| ~ rR(X1029,X1028,X1030)
| ~ rline(X1032)
| X1030 != X1033
| ~ rpoint(X1033)
| X1029 != X1034
| ~ rpoint(X1034)
| X1028 != X1035
| ~ rpoint(X1035)
| ron(X1029,X1031) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))'])])]) ).
cnf(c_0_118,plain,
( X1 = X2
| ron(X1,esk7_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_92])]) ).
cnf(c_0_119,plain,
( X1 = X2
| rline(esk7_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_93])]) ).
cnf(c_0_120,plain,
( ron(X1,esk7_2(X2,X1))
| X2 = X1
| X1 != X3
| ~ rpoint(X3)
| X2 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_121,plain,
( ron(vd1287,X1)
| ~ rline(X1)
| ~ ron(vd1302,X1)
| ~ ron(vd1289,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_73]),c_0_72]),c_0_71])]) ).
cnf(c_0_122,plain,
( ~ rreal(X1)
| ~ rless(X1,X1) ),
inference(er,[status(thm)],[c_0_96]) ).
cnf(c_0_123,plain,
( rless(X1,vplus(X2,v0))
| ~ rreal(X1)
| ~ rreal(X2)
| ~ rless(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99])]) ).
cnf(c_0_124,plain,
( vplus(X1,X2) = vplus(X2,X1)
| ~ rreal(X2)
| ~ rreal(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_100])]) ).
cnf(c_0_125,plain,
( vplus(vf(X1,X2),vf(X2,X3)) = vf(X1,X3)
| ~ rR(X2,X1,X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_101])])]) ).
cnf(c_0_126,plain,
vf(vd1287,vd1288) = vf(vd1287,vd1289),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_127,plain,
rpoint(vd1288),
inference(rw,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_128,plain,
( rreal(vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_129,plain,
( rless(vf(X1,X2),vf(X1,X3))
| ~ rinside(X2,X4)
| ~ rcenter(X1,X4)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ ron(X3,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_106])]) ).
cnf(c_0_130,plain,
( X1 = X2
| rinside(X1,esk15_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_131,plain,
( X1 = X2
| vplus(X1,X3) != vplus(X2,X3)
| ~ rreal(X1)
| ~ rreal(X2)
| ~ rreal(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_109])])]) ).
cnf(c_0_132,plain,
( vf(X1,X2) = vf(X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_110])]) ).
cnf(c_0_133,plain,
( vg(X3,X4,X1) = v0
| X3 = X4
| ~ ron(X1,X2)
| ~ ron(X4,X2)
| ~ ron(X3,X2)
| X2 != X5
| ~ rline(X5)
| X1 != X6
| ~ rpoint(X6)
| X4 != X7
| ~ rpoint(X7)
| X3 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_134,plain,
( X1 = vd1297
| ~ rline(X1)
| ~ ron(vd1306,X1)
| ~ ron(vd1287,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_71])]),c_0_114]) ).
cnf(c_0_135,plain,
ron(vd1299,vd1295),
inference(split_conjunct,[status(thm)],['pred(conjunct1(349), 0)']) ).
cnf(c_0_136,plain,
rpoint(vd1299),
inference(rw,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_137,plain,
rline(vd1295),
inference(split_conjunct,[status(thm)],['pred(346, 0)']) ).
cnf(c_0_138,plain,
( ron(X5,X1)
| X1 != X2
| ~ ron(X3,X1)
| ~ ron(X4,X1)
| ~ rR(X5,X4,X3)
| ~ rline(X2)
| X3 != X6
| ~ rpoint(X6)
| X5 != X7
| ~ rpoint(X7)
| X4 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_139,plain,
( X1 = esk7_2(X2,X3)
| X2 = X3
| X4 = X2
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rline(X1)
| ~ ron(X4,esk7_2(X2,X3))
| ~ ron(X2,X1)
| ~ ron(X4,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_118]),c_0_119]) ).
cnf(c_0_140,plain,
( X1 = X2
| ron(X1,esk7_2(X2,X1))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_120])]) ).
cnf(c_0_141,plain,
( X1 = X2
| ron(vd1287,esk7_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(vd1302,esk7_2(X1,X2))
| ~ ron(vd1289,esk7_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_121,c_0_119]) ).
cnf(c_0_142,plain,
( ~ rreal(vplus(X1,v0))
| ~ rreal(X1)
| ~ rless(vplus(X1,v0),X1) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_143,plain,
( rless(vplus(X1,X2),vplus(X2,X3))
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X2)
| ~ rless(X1,X3) ),
inference(spm,[status(thm)],[c_0_97,c_0_124]) ).
cnf(c_0_144,plain,
( vplus(vf(vd1287,vd1289),vf(vd1288,X1)) = vf(vd1287,X1)
| ~ rR(vd1288,vd1287,X1)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_71]),c_0_127])]) ).
cnf(c_0_145,plain,
rreal(vf(vd1287,vd1289)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_126]),c_0_71]),c_0_127])]) ).
cnf(c_0_146,plain,
( X1 = X2
| rless(vf(X3,X1),vf(X3,X4))
| ~ rcenter(X3,esk15_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ ron(X4,esk15_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_147,plain,
( ron(X1,esk15_2(X2,X1))
| X2 = X1
| X1 != X3
| ~ rpoint(X3)
| X2 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
fof(c_0_148,plain,
! [X945,X946,X947,X948] :
( ( vf(X945,X946) != v0
| X945 = X946
| X946 != X947
| ~ rpoint(X947)
| X945 != X948
| ~ rpoint(X948) )
& ( X945 != X946
| vf(X945,X946) = v0
| X946 != X947
| ~ rpoint(X947)
| X945 != X948
| ~ rpoint(X948) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))'])])])]) ).
cnf(c_0_149,plain,
( X1 = vf(X2,X3)
| vplus(X1,vf(X3,X4)) != vf(X2,X4)
| ~ rreal(X1)
| ~ rR(X3,X2,X4)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_125]),c_0_128]),c_0_128]) ).
cnf(c_0_150,plain,
( vplus(vf(X1,X2),vf(X1,X3)) = vf(X2,X3)
| ~ rR(X1,X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3) ),
inference(spm,[status(thm)],[c_0_125,c_0_132]) ).
fof(c_0_151,plain,
! [X1555,X1556,X1557,X1558,X1559,X1560] :
( ( vg(X1555,X1556,X1557) = vg(X1555,X1557,X1556)
| X1557 != X1558
| ~ rpoint(X1558)
| X1556 != X1559
| ~ rpoint(X1559)
| X1555 != X1560
| ~ rpoint(X1560) )
& ( vg(X1555,X1556,X1557) = vg(X1557,X1555,X1556)
| X1557 != X1558
| ~ rpoint(X1558)
| X1556 != X1559
| ~ rpoint(X1559)
| X1555 != X1560
| ~ rpoint(X1560) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(176), 0), imp(cond(axiom(176), 0)))'])])])]) ).
cnf(c_0_152,plain,
( vg(X1,X2,X3) = v0
| X1 = X2
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rline(X4)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ ron(X3,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_133])])])]) ).
cnf(c_0_153,plain,
( esk7_2(X1,X2) = vd1297
| X1 = X2
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(vd1306,esk7_2(X1,X2))
| ~ ron(vd1287,esk7_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_134,c_0_119]) ).
cnf(c_0_154,plain,
( X1 = vd1295
| X2 = vd1299
| ~ rpoint(X2)
| ~ rline(X1)
| ~ ron(vd1299,X1)
| ~ ron(X2,vd1295)
| ~ ron(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_135]),c_0_136]),c_0_137])]) ).
cnf(c_0_155,plain,
ron(vd1287,vd1295),
inference(split_conjunct,[status(thm)],['pred(s1(plural(346)), 0)']) ).
cnf(c_0_156,plain,
vd1299 != vd1287,
inference(split_conjunct,[status(thm)],['holds(conjunct1(conjunct2(conjunct2(355))), 1311, 0)']) ).
cnf(c_0_157,plain,
( ron(X1,X2)
| ~ rR(X1,X3,X4)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ rline(X2)
| ~ ron(X3,X2)
| ~ ron(X4,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_138])])])]) ).
cnf(c_0_158,plain,
rR(vd1306,vd1287,vd1302),
inference(split_conjunct,[status(thm)],['holds(conjunct1(352), 1307, 0)']) ).
cnf(c_0_159,plain,
( X1 = esk7_2(X2,X3)
| X2 = X3
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rline(X1)
| ~ ron(X2,X1)
| ~ ron(X3,X1) ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_160,plain,
( vd1302 = X1
| ron(vd1287,esk7_2(vd1302,X1))
| ~ rpoint(X1)
| ~ ron(vd1289,esk7_2(vd1302,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_118]),c_0_73])]) ).
cnf(c_0_161,plain,
( ~ rreal(vplus(v0,X1))
| ~ rreal(X1)
| ~ rless(vplus(v0,X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_124]),c_0_99])]) ).
cnf(c_0_162,plain,
( rless(vplus(X1,vf(vd1287,vd1289)),vf(vd1287,X2))
| ~ rreal(vf(vd1288,X2))
| ~ rreal(X1)
| ~ rless(X1,vf(vd1288,X2))
| ~ rR(vd1288,vd1287,X2)
| ~ rpoint(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145])]) ).
cnf(c_0_163,plain,
( X1 = X2
| rless(vf(X1,X1),vf(X1,X3))
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ ron(X3,esk15_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_146,c_0_108]) ).
cnf(c_0_164,plain,
( X1 = X2
| ron(X1,esk15_2(X2,X1))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_147])]) ).
cnf(c_0_165,plain,
( vf(X1,X2) = v0
| X1 != X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
fof(c_0_166,plain,
! [X47,X48,X49,X50,X51,X52,X53,X54] :
( ( ron(X49,X53)
& ron(X47,X53)
& X47 != X51
& X47 != X49
& X53 = X54
& rline(X54)
& X51 = X52
& rpoint(X52)
& X49 = X50
& rpoint(X50)
& X47 = X48
& rpoint(X48) )
=> ( ( ~ rR(X47,X49,X51)
& ron(X51,X53) )
<=> vangle(X49,X47,X51) = v0 ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))']) ).
cnf(c_0_167,plain,
( vf(X1,X2) = vf(X3,X1)
| vf(X2,X4) != vf(X3,X4)
| ~ rR(X1,X3,X4)
| ~ rR(X1,X2,X4)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ rpoint(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_128]) ).
cnf(c_0_168,plain,
( ron(X3,X4)
| X1 = X2
| vg(X1,X2,X3) != v0
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| X4 != X5
| ~ rline(X5)
| X3 != X6
| ~ rpoint(X6)
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_169,plain,
( vg(X1,X2,X3) = vg(X3,X1,X2)
| X3 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_170,plain,
( vg(X1,X2,X3) = v0
| X2 = X4
| X1 = X2
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ ron(X1,esk7_2(X4,X2))
| ~ ron(X3,esk7_2(X4,X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_140]),c_0_119]) ).
cnf(c_0_171,plain,
( esk7_2(vd1306,X1) = vd1297
| vd1306 = X1
| ~ rpoint(X1)
| ~ ron(vd1287,esk7_2(vd1306,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_118]),c_0_90])]) ).
cnf(c_0_172,plain,
( X1 = vd1295
| ~ rline(X1)
| ~ ron(vd1299,X1)
| ~ ron(vd1287,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_71])]),c_0_156]) ).
fof(c_0_173,plain,
! [X362,X363,X364,X365,X366] :
( ( rR(X364,X362,X363)
& ~ rinside(X364,X365)
& ( ron(X362,X365)
| rinside(X362,X365) )
& X365 = X366
& rcircle(X366)
& ? [X367] :
( X364 = X367
& rpoint(X367) )
& ? [X368] :
( X363 = X368
& rpoint(X368) )
& ? [X369] :
( X362 = X369
& rpoint(X369) ) )
=> ~ ron(X363,X365) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(123), 0), imp(cond(axiom(123), 0)))']) ).
cnf(c_0_174,plain,
ron(vd1302,vd1297),
inference(split_conjunct,[status(thm)],['pred(conjunct2(349), 0)']) ).
cnf(c_0_175,plain,
ron(vd1289,vd1297),
inference(split_conjunct,[status(thm)],['pred(s2(plural(347)), 0)']) ).
cnf(c_0_176,plain,
( ron(vd1306,X1)
| ~ rline(X1)
| ~ ron(vd1287,X1)
| ~ ron(vd1302,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_71]),c_0_90]),c_0_73])]) ).
cnf(c_0_177,plain,
( esk7_2(X1,X2) = esk7_2(X1,X3)
| X1 = X2
| X1 = X3
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ ron(X3,esk7_2(X1,X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_118]),c_0_119]) ).
cnf(c_0_178,plain,
( vd1302 = vd1289
| ron(vd1287,esk7_2(vd1302,vd1289)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_140]),c_0_72]),c_0_73])]) ).
cnf(c_0_179,plain,
( ~ rreal(vplus(v0,vf(vd1287,vd1289)))
| ~ rreal(vf(vd1288,vd1289))
| ~ rless(v0,vf(vd1288,vd1289))
| ~ rR(vd1288,vd1287,vd1289) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_145]),c_0_99]),c_0_72])]) ).
cnf(c_0_180,plain,
( vplus(v0,X1) = X1
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_124]),c_0_99])]) ).
cnf(c_0_181,plain,
( X1 = X2
| rless(vf(X1,X1),vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_182,plain,
( vf(X1,X1) = v0
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_165])])]) ).
fof(c_0_183,plain,
! [X833,X834,X835,X836,X837,X838,X839,X840] :
( ( rR(X833,X835,X837)
| ~ ron(X837,X839)
| vangle(X835,X833,X837) = v0
| ~ ron(X835,X839)
| ~ ron(X833,X839)
| X833 = X837
| X833 = X835
| X839 != X840
| ~ rline(X840)
| X837 != X838
| ~ rpoint(X838)
| X835 != X836
| ~ rpoint(X836)
| X833 != X834
| ~ rpoint(X834) )
& ( ~ rR(X833,X835,X837)
| vangle(X835,X833,X837) != v0
| ~ ron(X835,X839)
| ~ ron(X833,X839)
| X833 = X837
| X833 = X835
| X839 != X840
| ~ rline(X840)
| X837 != X838
| ~ rpoint(X838)
| X835 != X836
| ~ rpoint(X836)
| X833 != X834
| ~ rpoint(X834) )
& ( ron(X837,X839)
| vangle(X835,X833,X837) != v0
| ~ ron(X835,X839)
| ~ ron(X833,X839)
| X833 = X837
| X833 = X835
| X839 != X840
| ~ rline(X840)
| X837 != X838
| ~ rpoint(X838)
| X835 != X836
| ~ rpoint(X836)
| X833 != X834
| ~ rpoint(X834) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_166])])]) ).
cnf(c_0_184,plain,
( vf(vd1289,X1) = vf(vd1287,vd1289)
| vf(X1,vd1302) != vf(vd1287,vd1302)
| ~ rR(vd1289,X1,vd1302)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).
cnf(c_0_185,plain,
( X1 = X2
| ron(X3,X4)
| vg(X1,X2,X3) != v0
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rline(X4)
| ~ ron(X2,X4)
| ~ ron(X1,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_168])])])]) ).
cnf(c_0_186,plain,
( vg(X1,X2,X3) = vg(X3,X1,X2)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_169])])]) ).
cnf(c_0_187,plain,
( vg(X1,X2,X3) = v0
| X2 = X1
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ ron(X3,esk7_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_170,c_0_118]) ).
cnf(c_0_188,plain,
esk7_2(vd1306,vd1287) = vd1297,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_140]),c_0_71]),c_0_90])]),c_0_114]) ).
cnf(c_0_189,plain,
rR(vd1288,vd1287,vd1299),
inference(split_conjunct,[status(thm)],['and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))']) ).
cnf(c_0_190,plain,
( esk7_2(X1,X2) = vd1295
| X1 = X2
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(vd1299,esk7_2(X1,X2))
| ~ ron(vd1287,esk7_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_172,c_0_119]) ).
fof(c_0_191,plain,
! [X261,X262,X263,X264] :
( ( rinside(X261,X263)
& X263 = X264
& rcircle(X264)
& X261 = X262
& rpoint(X262) )
=> ~ ron(X261,X263) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))']) ).
fof(c_0_192,plain,
! [X1178,X1179,X1180,X1181,X1182,X1183,X1184,X1185] :
( ( ~ ron(X1178,X1181)
| ~ rR(X1180,X1178,X1179)
| rinside(X1180,X1181)
| X1181 != X1182
| ~ rcircle(X1182)
| X1180 != X1183
| ~ rpoint(X1183)
| X1179 != X1184
| ~ rpoint(X1184)
| X1178 != X1185
| ~ rpoint(X1185)
| ~ ron(X1179,X1181) )
& ( ~ rinside(X1178,X1181)
| ~ rR(X1180,X1178,X1179)
| rinside(X1180,X1181)
| X1181 != X1182
| ~ rcircle(X1182)
| X1180 != X1183
| ~ rpoint(X1183)
| X1179 != X1184
| ~ rpoint(X1184)
| X1178 != X1185
| ~ rpoint(X1185)
| ~ ron(X1179,X1181) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_173])])])]) ).
cnf(c_0_193,plain,
( X1 = vd1297
| X2 = vd1302
| ~ rpoint(X2)
| ~ rline(X1)
| ~ ron(vd1302,X1)
| ~ ron(X2,vd1297)
| ~ ron(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_174]),c_0_73]),c_0_91])]) ).
cnf(c_0_194,plain,
vd1306 != vd1302,
inference(split_conjunct,[status(thm)],['holds(conjunct1(conjunct2(conjunct2(353))), 1310, 0)']) ).
cnf(c_0_195,plain,
( X1 = vd1297
| X2 = vd1289
| ~ rpoint(X2)
| ~ rline(X1)
| ~ ron(vd1289,X1)
| ~ ron(X2,vd1297)
| ~ ron(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_175]),c_0_72]),c_0_91])]) ).
cnf(c_0_196,plain,
vd1287 != vd1289,
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_197,plain,
! [X1133,X1134,X1135,X1136] :
( X1135 != X1136
| ~ rreal(X1136)
| X1133 != X1134
| ~ rreal(X1134)
| rless(X1133,X1135)
| X1133 = X1135
| rless(X1135,X1133) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(145), 0), imp(cond(axiom(145), 0)))'])]) ).
fof(c_0_198,plain,
! [X1137,X1138,X1139,X1140] :
( ( vplus(X1137,X1139) = esk18_3(X1137,X1138,X1139)
| X1139 != X1140
| ~ rreal(X1140)
| X1137 != X1138
| ~ rreal(X1138) )
& ( rreal(esk18_3(X1137,X1138,X1139))
| X1139 != X1140
| ~ rreal(X1140)
| X1137 != X1138
| ~ rreal(X1138) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(139), 0), imp(cond(axiom(139), 0)))'])])])])])]) ).
cnf(c_0_199,plain,
( X1 = X2
| ron(vd1306,esk7_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(vd1287,esk7_2(X1,X2))
| ~ ron(vd1302,esk7_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_176,c_0_119]) ).
cnf(c_0_200,plain,
( esk7_2(vd1302,vd1289) = esk7_2(vd1302,vd1287)
| vd1302 = vd1287
| vd1302 = vd1289 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_73]),c_0_71]),c_0_72])]) ).
cnf(c_0_201,plain,
( X1 = vd1302
| ron(vd1287,esk7_2(X1,vd1302))
| ~ rpoint(X1)
| ~ ron(vd1289,esk7_2(X1,vd1302)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_140]),c_0_73])]) ).
cnf(c_0_202,plain,
( ~ rreal(vf(vd1288,vd1289))
| ~ rless(v0,vf(vd1288,vd1289))
| ~ rR(vd1288,vd1287,vd1289) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_145])]) ).
cnf(c_0_203,plain,
( X1 = X2
| rless(v0,vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_181,c_0_182]) ).
cnf(c_0_204,plain,
vd1288 != vd1289,
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_205,plain,
( rR(X1,X2,X3)
| vangle(X2,X1,X3) = v0
| X1 = X3
| X1 = X2
| ~ ron(X3,X4)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| X4 != X5
| ~ rline(X5)
| X3 != X6
| ~ rpoint(X6)
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_183]) ).
cnf(c_0_206,plain,
( vplus(vf(X1,X2),vf(X1,X3)) = vf(X3,X2)
| ~ rR(X1,X3,X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_150]),c_0_128]),c_0_128]) ).
cnf(c_0_207,plain,
vf(vd1289,vd1287) = vf(vd1287,vd1289),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_70]),c_0_71])]) ).
cnf(c_0_208,plain,
( X1 = X2
| ron(X3,X4)
| vg(X3,X1,X2) != v0
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rline(X4)
| ~ ron(X2,X4)
| ~ ron(X1,X4) ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_209,plain,
( vg(vd1306,vd1287,X1) = v0
| ~ rpoint(X1)
| ~ ron(X1,vd1297) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_90]),c_0_71])]),c_0_114]) ).
cnf(c_0_210,plain,
( ron(vd1299,X1)
| ~ rline(X1)
| ~ ron(vd1287,X1)
| ~ ron(vd1288,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_189]),c_0_71]),c_0_127]),c_0_136])]) ).
cnf(c_0_211,plain,
( esk7_2(vd1299,X1) = vd1295
| vd1299 = X1
| ~ rpoint(X1)
| ~ ron(vd1287,esk7_2(vd1299,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_118]),c_0_136])]) ).
fof(c_0_212,plain,
! [X1077,X1078,X1079,X1080] :
( ~ rinside(X1077,X1079)
| X1079 != X1080
| ~ rcircle(X1080)
| X1077 != X1078
| ~ rpoint(X1078)
| ~ ron(X1077,X1079) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_191])]) ).
cnf(c_0_213,plain,
( rinside(X3,X2)
| ~ rinside(X1,X2)
| ~ rR(X3,X1,X4)
| X2 != X5
| ~ rcircle(X5)
| X3 != X6
| ~ rpoint(X6)
| X4 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| ~ ron(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_192]) ).
cnf(c_0_214,plain,
( X1 = vd1297
| ~ rline(X1)
| ~ ron(vd1302,X1)
| ~ ron(vd1306,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_89]),c_0_90])]),c_0_194]) ).
cnf(c_0_215,plain,
( X1 = vd1297
| ~ rline(X1)
| ~ ron(vd1289,X1)
| ~ ron(vd1287,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_113]),c_0_71])]),c_0_196]) ).
cnf(c_0_216,plain,
( rless(X3,X1)
| X3 = X1
| rless(X1,X3)
| X1 != X2
| ~ rreal(X2)
| X3 != X4
| ~ rreal(X4) ),
inference(split_conjunct,[status(thm)],[c_0_197]) ).
cnf(c_0_217,plain,
( rreal(esk18_3(X1,X2,X3))
| X3 != X4
| ~ rreal(X4)
| X1 != X2
| ~ rreal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_218,plain,
( vplus(X1,X2) = esk18_3(X1,X3,X2)
| X2 != X4
| ~ rreal(X4)
| X1 != X3
| ~ rreal(X3) ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_219,plain,
( rless(vplus(X1,v0),X2)
| ~ rreal(X1)
| ~ rreal(X2)
| ~ rless(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99])]) ).
cnf(c_0_220,plain,
( vd1302 = X1
| ron(vd1306,esk7_2(vd1302,X1))
| ~ rpoint(X1)
| ~ ron(vd1287,esk7_2(vd1302,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_118]),c_0_73])]) ).
cnf(c_0_221,plain,
( vd1302 = vd1287
| vd1302 = vd1289
| ron(vd1287,esk7_2(vd1302,vd1287)) ),
inference(spm,[status(thm)],[c_0_178,c_0_200]) ).
cnf(c_0_222,plain,
( esk7_2(X1,X2) = esk7_2(X2,X3)
| X2 = X1
| X2 = X3
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ ron(X3,esk7_2(X1,X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_140]),c_0_119]) ).
cnf(c_0_223,plain,
( vd1302 = vd1289
| ron(vd1287,esk7_2(vd1289,vd1302)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_118]),c_0_72]),c_0_73])]) ).
cnf(c_0_224,plain,
( ~ rreal(vf(vd1288,vd1289))
| ~ rR(vd1288,vd1287,vd1289) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_127]),c_0_72])]),c_0_204]) ).
cnf(c_0_225,plain,
( vangle(X1,X2,X3) = v0
| X2 = X3
| X2 = X1
| rR(X2,X1,X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rline(X4)
| ~ ron(X3,X4)
| ~ ron(X1,X4)
| ~ ron(X2,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_205])])])]) ).
cnf(c_0_226,plain,
( X1 = v0
| vplus(X1,X2) != X2
| ~ rreal(X1)
| ~ rreal(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_180]),c_0_99])]) ).
cnf(c_0_227,plain,
( vplus(vf(vd1289,X1),vf(vd1287,vd1289)) = vf(vd1287,X1)
| ~ rR(vd1289,vd1287,X1)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_71]),c_0_72])]) ).
cnf(c_0_228,plain,
( ron(vd1289,X1)
| ~ rline(X1)
| ~ ron(vd1287,X1)
| ~ ron(vd1302,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).
cnf(c_0_229,plain,
( ron(vd1302,X1)
| ~ rline(X1)
| ~ ron(vd1287,X1)
| ~ ron(vd1306,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_158]),c_0_71]),c_0_90]),c_0_73])]) ).
cnf(c_0_230,plain,
( vd1287 = X1
| ron(vd1306,X2)
| ~ rpoint(X1)
| ~ rline(X2)
| ~ ron(vd1287,X2)
| ~ ron(X1,vd1297)
| ~ ron(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_71]),c_0_90])]) ).
cnf(c_0_231,plain,
( ron(vd1299,vd1297)
| ~ ron(vd1288,vd1297) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_91]),c_0_113])]) ).
cnf(c_0_232,plain,
esk7_2(vd1299,vd1287) = vd1295,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_140]),c_0_71]),c_0_136])]),c_0_156]) ).
cnf(c_0_233,plain,
( ron(vd1302,X1)
| ~ rline(X1)
| ~ ron(vd1287,X1)
| ~ ron(vd1289,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).
cnf(c_0_234,plain,
( ~ rinside(X1,X2)
| X2 != X3
| ~ rcircle(X3)
| X1 != X4
| ~ rpoint(X4)
| ~ ron(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_212]) ).
cnf(c_0_235,plain,
( rinside(X1,X2)
| ~ rcircle(X2)
| ~ rinside(X3,X2)
| ~ rR(X1,X3,X4)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ ron(X4,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_213])])])]) ).
fof(c_0_236,plain,
! [X939,X940,X941,X942,X943,X944] :
( ( vf(X941,X939) != vf(X941,X943)
| ron(X939,X942)
| ~ ron(X943,X942)
| X943 != X944
| ~ rpoint(X944)
| ~ rcenter(X941,X942)
| X939 != X940
| ~ rpoint(X940) )
& ( ~ ron(X939,X942)
| vf(X941,X939) = vf(X941,X943)
| ~ ron(X943,X942)
| X943 != X944
| ~ rpoint(X944)
| ~ rcenter(X941,X942)
| X939 != X940
| ~ rpoint(X940) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))'])])]) ).
fof(c_0_237,plain,
! [X295,X296,X297,X298,X299,X300] :
( ( ~ ron(X298,X299)
& X299 = X300
& rline(X300)
& X297 != X298
& X296 != X298
& X296 != X297
& X295 != X298
& X295 != X297
& X295 != X296
& ? [X301] :
( X298 = X301
& rpoint(X301) )
& ? [X302] :
( X297 = X302
& rpoint(X302) )
& ? [X303] :
( X296 = X303
& rpoint(X303) )
& ? [X304] :
( X295 = X304
& rpoint(X304) ) )
=> ( rR(X297,X295,X296)
<=> vplus(vg(X295,X297,X298),vg(X298,X297,X296)) = vg(X295,X298,X296) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(202), 0), imp(cond(axiom(202), 0)))']) ).
cnf(c_0_238,plain,
( esk7_2(X1,X2) = vd1297
| X1 = X2
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(vd1302,esk7_2(X1,X2))
| ~ ron(vd1306,esk7_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_214,c_0_119]) ).
cnf(c_0_239,plain,
( esk7_2(X1,X2) = vd1297
| X1 = X2
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(vd1289,esk7_2(X1,X2))
| ~ ron(vd1287,esk7_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_215,c_0_119]) ).
cnf(c_0_240,plain,
( X1 = X2
| rless(X2,X1)
| rless(X1,X2)
| ~ rreal(X2)
| ~ rreal(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_216])]) ).
cnf(c_0_241,plain,
( rreal(esk18_3(X1,X1,X2))
| ~ rreal(X2)
| ~ rreal(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_217])]) ).
cnf(c_0_242,plain,
( esk18_3(X1,X1,X2) = vplus(X1,X2)
| ~ rreal(X2)
| ~ rreal(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_218])]) ).
cnf(c_0_243,plain,
( ~ rreal(vplus(X1,v0))
| ~ rreal(X1)
| ~ rless(X1,vplus(X1,v0)) ),
inference(spm,[status(thm)],[c_0_122,c_0_219]) ).
cnf(c_0_244,plain,
( vd1302 = vd1287
| vd1302 = vd1289
| ron(vd1306,esk7_2(vd1302,vd1287)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_200]),c_0_72])]),c_0_221]) ).
cnf(c_0_245,plain,
( esk7_2(vd1302,vd1287) = esk7_2(vd1289,vd1302)
| vd1302 = vd1287
| vd1302 = vd1289 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_73]),c_0_71]),c_0_72])]) ).
fof(c_0_246,negated_conjecture,
vangle(vd1287,vd1289,vd1288) != vangle(vd1287,vd1288,vd1289),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(364, 1327, 0)'])]) ).
cnf(c_0_247,plain,
~ rR(vd1288,vd1287,vd1289),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_128]),c_0_127]),c_0_72])]) ).
cnf(c_0_248,plain,
( vangle(X1,X2,vd1289) = v0
| X2 = vd1289
| X2 = X1
| rR(X2,X1,vd1289)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(X1,vd1297)
| ~ ron(X2,vd1297) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_175]),c_0_72]),c_0_91])]) ).
cnf(c_0_249,plain,
vd1287 != vd1288,
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_250,plain,
( vf(vd1289,X1) = v0
| vf(vd1287,X1) != vf(vd1287,vd1289)
| ~ rreal(vf(vd1289,X1))
| ~ rR(vd1289,vd1287,X1)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_145])]) ).
cnf(c_0_251,plain,
ron(vd1288,vd1295),
inference(split_conjunct,[status(thm)],['pred(s2(plural(346)), 0)']) ).
cnf(c_0_252,plain,
( ron(vd1289,vd1295)
| ~ ron(vd1302,vd1295) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_137]),c_0_155])]) ).
cnf(c_0_253,plain,
( ron(vd1302,vd1295)
| ~ ron(vd1306,vd1295) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_137]),c_0_155])]) ).
cnf(c_0_254,plain,
( ron(vd1306,X1)
| ~ rline(X1)
| ~ ron(vd1288,vd1297)
| ~ ron(vd1287,X1)
| ~ ron(vd1299,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_136])]),c_0_156]) ).
cnf(c_0_255,plain,
( vg(vd1299,vd1287,X1) = v0
| ~ rpoint(X1)
| ~ ron(X1,vd1295) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_232]),c_0_136]),c_0_71])]),c_0_156]) ).
cnf(c_0_256,plain,
( ron(vd1306,vd1295)
| ~ ron(vd1302,vd1295) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_137]),c_0_155])]) ).
cnf(c_0_257,plain,
( ron(vd1302,vd1295)
| ~ ron(vd1289,vd1295) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_137]),c_0_155])]) ).
cnf(c_0_258,plain,
( ~ rcircle(X1)
| ~ rinside(X2,X1)
| ~ rpoint(X2)
| ~ ron(X2,X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_234])]) ).
cnf(c_0_259,plain,
( rinside(vd1289,X1)
| ~ rcircle(X1)
| ~ rinside(vd1287,X1)
| ~ ron(vd1302,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_70]),c_0_71]),c_0_73]),c_0_72])]) ).
cnf(c_0_260,plain,
( ron(X2,X4)
| vf(X1,X2) != vf(X1,X3)
| ~ ron(X3,X4)
| X3 != X5
| ~ rpoint(X5)
| ~ rcenter(X1,X4)
| X2 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[c_0_236]) ).
fof(c_0_261,plain,
! [X1111,X1112,X1113,X1114,X1115,X1116,X1117,X1118,X1119,X1120] :
( ( ~ rR(X1113,X1111,X1112)
| vplus(vg(X1111,X1113,X1114),vg(X1114,X1113,X1112)) = vg(X1111,X1114,X1112)
| ron(X1114,X1115)
| X1115 != X1116
| ~ rline(X1116)
| X1113 = X1114
| X1112 = X1114
| X1112 = X1113
| X1111 = X1114
| X1111 = X1113
| X1111 = X1112
| X1114 != X1117
| ~ rpoint(X1117)
| X1113 != X1118
| ~ rpoint(X1118)
| X1112 != X1119
| ~ rpoint(X1119)
| X1111 != X1120
| ~ rpoint(X1120) )
& ( vplus(vg(X1111,X1113,X1114),vg(X1114,X1113,X1112)) != vg(X1111,X1114,X1112)
| rR(X1113,X1111,X1112)
| ron(X1114,X1115)
| X1115 != X1116
| ~ rline(X1116)
| X1113 = X1114
| X1112 = X1114
| X1112 = X1113
| X1111 = X1114
| X1111 = X1113
| X1111 = X1112
| X1114 != X1117
| ~ rpoint(X1117)
| X1113 != X1118
| ~ rpoint(X1118)
| X1112 != X1119
| ~ rpoint(X1119)
| X1111 != X1120
| ~ rpoint(X1120) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_237])])])]) ).
cnf(c_0_262,plain,
( vg(X1,X2,X3) = v0
| X2 = X4
| X1 = X2
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ ron(X1,esk7_2(X2,X4))
| ~ ron(X3,esk7_2(X2,X4)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_118]),c_0_119]) ).
cnf(c_0_263,plain,
( esk7_2(vd1302,X1) = vd1297
| vd1302 = X1
| ~ rpoint(X1)
| ~ ron(vd1306,esk7_2(vd1302,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_118]),c_0_73])]) ).
cnf(c_0_264,plain,
( esk7_2(vd1289,X1) = vd1297
| vd1289 = X1
| ~ rpoint(X1)
| ~ ron(vd1287,esk7_2(vd1289,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_118]),c_0_72])]) ).
cnf(c_0_265,plain,
( X1 = v0
| rless(v0,X1)
| rless(X1,v0)
| ~ rreal(X1) ),
inference(spm,[status(thm)],[c_0_240,c_0_99]) ).
cnf(c_0_266,plain,
( rreal(vplus(X1,X2))
| ~ rreal(X2)
| ~ rreal(X1) ),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_267,plain,
( ~ rreal(vplus(vplus(X1,v0),v0))
| ~ rreal(vplus(X1,v0))
| ~ rreal(X1)
| ~ rless(X1,vplus(vplus(X1,v0),v0)) ),
inference(spm,[status(thm)],[c_0_243,c_0_219]) ).
cnf(c_0_268,plain,
( vd1302 = vd1289
| vd1302 = vd1287
| ron(vd1306,esk7_2(vd1289,vd1302)) ),
inference(spm,[status(thm)],[c_0_244,c_0_245]) ).
cnf(c_0_269,negated_conjecture,
vangle(vd1287,vd1289,vd1288) != vangle(vd1287,vd1288,vd1289),
inference(split_conjunct,[status(thm)],[c_0_246]) ).
cnf(c_0_270,plain,
( vangle(vd1287,vd1288,vd1289) = v0
| ~ ron(vd1288,vd1297) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_127]),c_0_71]),c_0_113])]),c_0_204]),c_0_249]) ).
cnf(c_0_271,plain,
( vf(vd1289,X1) = v0
| vf(vd1287,X1) != vf(vd1287,vd1289)
| ~ rR(vd1289,vd1287,X1)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_128]),c_0_72])]) ).
cnf(c_0_272,plain,
( vangle(X1,X2,vd1288) = v0
| X2 = vd1288
| X2 = X1
| rR(X2,X1,vd1288)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(X1,vd1295)
| ~ ron(X2,vd1295) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_251]),c_0_127]),c_0_137])]) ).
cnf(c_0_273,plain,
( ron(vd1289,vd1295)
| ~ ron(vd1306,vd1295) ),
inference(spm,[status(thm)],[c_0_252,c_0_253]) ).
cnf(c_0_274,plain,
( ron(vd1306,vd1295)
| ~ ron(vd1288,vd1297) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_137]),c_0_155]),c_0_135])]) ).
cnf(c_0_275,plain,
( vd1287 = X1
| ron(vd1299,X2)
| ~ rpoint(X1)
| ~ rline(X2)
| ~ ron(vd1287,X2)
| ~ ron(X1,vd1295)
| ~ ron(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_255]),c_0_71]),c_0_136])]) ).
cnf(c_0_276,plain,
( ron(vd1306,vd1295)
| ~ ron(vd1289,vd1295) ),
inference(spm,[status(thm)],[c_0_256,c_0_257]) ).
cnf(c_0_277,plain,
( ~ rcircle(X1)
| ~ rinside(vd1287,X1)
| ~ ron(vd1289,X1)
| ~ ron(vd1302,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_72])]) ).
cnf(c_0_278,plain,
( rcircle(esk15_2(X1,X2))
| X1 = X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_279,plain,
( ron(X1,X2)
| vf(X3,X1) != vf(X3,X4)
| ~ rcenter(X3,X2)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ ron(X4,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_260])]) ).
cnf(c_0_280,plain,
( rR(X2,X1,X4)
| ron(X3,X5)
| X2 = X3
| X4 = X3
| X4 = X2
| X1 = X3
| X1 = X2
| X1 = X4
| vplus(vg(X1,X2,X3),vg(X3,X2,X4)) != vg(X1,X3,X4)
| X5 != X6
| ~ rline(X6)
| X3 != X7
| ~ rpoint(X7)
| X2 != X8
| ~ rpoint(X8)
| X4 != X9
| ~ rpoint(X9)
| X1 != X10
| ~ rpoint(X10) ),
inference(split_conjunct,[status(thm)],[c_0_261]) ).
cnf(c_0_281,plain,
( vg(X1,X2,X3) = v0
| X2 = X1
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ ron(X3,esk7_2(X2,X1)) ),
inference(spm,[status(thm)],[c_0_262,c_0_140]) ).
cnf(c_0_282,plain,
esk7_2(vd1302,vd1306) = vd1297,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_140]),c_0_90]),c_0_73])]),c_0_194]) ).
cnf(c_0_283,plain,
( vg(X1,X2,X3) = vg(X1,X3,X2)
| X3 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_284,plain,
esk7_2(vd1289,vd1287) = vd1297,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_140]),c_0_71]),c_0_72])]),c_0_196]) ).
cnf(c_0_285,plain,
( vplus(X1,X2) = v0
| rless(vplus(X1,X2),v0)
| rless(v0,vplus(X1,X2))
| ~ rreal(X2)
| ~ rreal(X1) ),
inference(spm,[status(thm)],[c_0_265,c_0_266]) ).
cnf(c_0_286,plain,
( ~ rreal(vplus(v0,v0))
| ~ rless(v0,vplus(v0,v0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_180]),c_0_99])]) ).
cnf(c_0_287,plain,
( ~ rR(X1,X2,X3)
| ~ rR(X2,X1,X3)
| X3 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_288,plain,
( esk7_2(vd1289,vd1302) = esk7_2(vd1289,vd1306)
| vd1302 = vd1287
| vd1306 = vd1289
| vd1302 = vd1289 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_268]),c_0_72]),c_0_90]),c_0_73])]) ).
cnf(c_0_289,plain,
( X1 = X2
| vf(X1,X2) != v0
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
cnf(c_0_290,negated_conjecture,
( vangle(vd1287,vd1289,vd1288) != v0
| ~ ron(vd1288,vd1297) ),
inference(spm,[status(thm)],[c_0_269,c_0_270]) ).
cnf(c_0_291,plain,
( vangle(vd1287,vd1289,vd1288) = v0
| vf(vd1289,vd1288) = v0
| ~ ron(vd1289,vd1295) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_126]),c_0_127]),c_0_72]),c_0_71]),c_0_155])]),c_0_204]),c_0_196]) ).
cnf(c_0_292,plain,
( ron(vd1289,vd1295)
| ~ ron(vd1288,vd1297) ),
inference(spm,[status(thm)],[c_0_273,c_0_274]) ).
cnf(c_0_293,plain,
( ron(vd1288,X1)
| ~ rline(X1)
| ~ ron(vd1287,X1)
| ~ ron(vd1299,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_189]),c_0_71]),c_0_127]),c_0_136])]) ).
cnf(c_0_294,plain,
( ron(vd1299,X1)
| ~ rline(X1)
| ~ ron(vd1289,vd1295)
| ~ ron(vd1287,X1)
| ~ ron(vd1306,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_90])]),c_0_114]) ).
fof(c_0_295,plain,
! [X479,X480,X481,X482] :
( ( rR(X480,X479,X482)
& rR(X480,X479,X481)
& ? [X483] :
( X482 = X483
& rpoint(X483) )
& ? [X484] :
( X481 = X484
& rpoint(X484) )
& ? [X485] :
( X480 = X485
& rpoint(X485) )
& ? [X486] :
( X479 = X486
& rpoint(X486) ) )
=> ~ rR(X480,X481,X482) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(93), 0), imp(cond(axiom(93), 0)))']) ).
cnf(c_0_296,plain,
( vd1287 = X1
| ~ rcircle(esk15_2(vd1287,X1))
| ~ rpoint(X1)
| ~ ron(vd1289,esk15_2(vd1287,X1))
| ~ ron(vd1302,esk15_2(vd1287,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_130]),c_0_71])]) ).
cnf(c_0_297,plain,
( X1 = X2
| rcircle(esk15_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_278])]) ).
cnf(c_0_298,plain,
( X1 = X2
| ron(X3,esk15_2(X1,X2))
| vf(X1,X3) != vf(X1,X4)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X4,esk15_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_279,c_0_108]) ).
cnf(c_0_299,plain,
( X1 = X2
| X3 = X2
| X3 = X1
| X4 = X2
| X4 = X1
| X4 = X3
| rR(X3,X4,X2)
| ron(X1,X5)
| vplus(vg(X4,X3,X1),vg(X1,X3,X2)) != vg(X4,X1,X2)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rline(X5) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_280])])])])]) ).
cnf(c_0_300,plain,
( vg(vd1306,vd1302,X1) = v0
| ~ rpoint(X1)
| ~ ron(X1,vd1297) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_90]),c_0_73])]),c_0_194]) ).
cnf(c_0_301,plain,
( vg(X1,X2,X3) = vg(X1,X3,X2)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_283])])]) ).
cnf(c_0_302,plain,
( vg(vd1289,vd1287,X1) = v0
| ~ rpoint(X1)
| ~ ron(X1,vd1297) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_284]),c_0_72]),c_0_71])]),c_0_196]) ).
cnf(c_0_303,plain,
( vplus(v0,v0) = v0
| ~ rreal(vplus(v0,v0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_285]),c_0_99])]),c_0_286]) ).
cnf(c_0_304,plain,
( ~ rR(X1,X2,X3)
| ~ rR(X2,X1,X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_287])])]) ).
cnf(c_0_305,plain,
rR(vd1306,vd1302,vd1287),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_158]),c_0_71]),c_0_90]),c_0_73])]) ).
cnf(c_0_306,plain,
( vd1306 = vd1289
| vd1302 = vd1287
| vd1302 = vd1289
| ron(vd1287,esk7_2(vd1289,vd1306)) ),
inference(spm,[status(thm)],[c_0_223,c_0_288]) ).
cnf(c_0_307,plain,
( X1 = X2
| vf(X1,X2) != v0
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_289])]) ).
cnf(c_0_308,negated_conjecture,
( vf(vd1289,vd1288) = v0
| ~ ron(vd1288,vd1297) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_291]),c_0_292]) ).
cnf(c_0_309,plain,
( ron(vd1288,vd1297)
| ~ ron(vd1299,vd1297) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_91]),c_0_113])]) ).
cnf(c_0_310,plain,
( ron(vd1299,vd1297)
| ~ ron(vd1289,vd1295) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_91]),c_0_113]),c_0_89])]) ).
fof(c_0_311,plain,
! [X1295,X1296,X1297,X1298,X1299,X1300,X1301,X1302] :
( ~ rR(X1296,X1295,X1298)
| ~ rR(X1296,X1295,X1297)
| X1298 != X1299
| ~ rpoint(X1299)
| X1297 != X1300
| ~ rpoint(X1300)
| X1296 != X1301
| ~ rpoint(X1301)
| X1295 != X1302
| ~ rpoint(X1302)
| ~ rR(X1296,X1297,X1298) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_295])])]) ).
cnf(c_0_312,plain,
( rinside(vd1288,X1)
| ~ rcircle(X1)
| ~ rinside(vd1287,X1)
| ~ ron(vd1299,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_189]),c_0_71]),c_0_136]),c_0_127])]) ).
cnf(c_0_313,plain,
( vd1287 = X1
| ~ rpoint(X1)
| ~ ron(vd1289,esk15_2(vd1287,X1))
| ~ ron(vd1302,esk15_2(vd1287,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_297]),c_0_71])]) ).
cnf(c_0_314,plain,
( X1 = X2
| ron(X3,esk15_2(X1,X2))
| vf(X1,X3) != vf(X1,X2)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(spm,[status(thm)],[c_0_298,c_0_164]) ).
cnf(c_0_315,plain,
( vd1302 = X1
| vd1302 = X2
| vd1306 = X1
| vd1306 = X2
| X2 = X1
| rR(vd1302,vd1306,X1)
| ron(X2,X3)
| vplus(v0,vg(X2,vd1302,X1)) != vg(vd1306,X2,X1)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rline(X3)
| ~ ron(X2,vd1297) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_300]),c_0_90]),c_0_73])]),c_0_194]) ).
cnf(c_0_316,plain,
( vg(vd1289,X1,vd1287) = v0
| ~ rpoint(X1)
| ~ ron(X1,vd1297) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_302]),c_0_72]),c_0_71])]) ).
cnf(c_0_317,plain,
vplus(v0,v0) = v0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_266]),c_0_99])]) ).
cnf(c_0_318,plain,
~ rR(vd1302,vd1306,vd1287),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_305]),c_0_73]),c_0_90]),c_0_71])]) ).
cnf(c_0_319,plain,
( vg(vd1306,vd1289,vd1287) = v0
| vd1302 = vd1289
| vd1302 = vd1287
| vd1306 = vd1289 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_306]),c_0_90]),c_0_72]),c_0_71])]) ).
cnf(c_0_320,negated_conjecture,
~ ron(vd1288,vd1297),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_308]),c_0_72]),c_0_127])]),c_0_204]) ).
cnf(c_0_321,plain,
( ron(vd1288,vd1297)
| ~ ron(vd1289,vd1295) ),
inference(spm,[status(thm)],[c_0_309,c_0_310]) ).
cnf(c_0_322,plain,
( ~ rR(X1,X2,X3)
| ~ rR(X1,X2,X4)
| X3 != X5
| ~ rpoint(X5)
| X4 != X6
| ~ rpoint(X6)
| X1 != X7
| ~ rpoint(X7)
| X2 != X8
| ~ rpoint(X8)
| ~ rR(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_311]) ).
cnf(c_0_323,plain,
( ~ rcircle(X1)
| ~ rinside(vd1287,X1)
| ~ ron(vd1288,X1)
| ~ ron(vd1299,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_312]),c_0_127])]) ).
cnf(c_0_324,plain,
( vd1287 = X1
| vf(vd1287,vd1302) != vf(vd1287,X1)
| ~ rpoint(X1)
| ~ ron(vd1289,esk15_2(vd1287,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_314]),c_0_73]),c_0_71])]) ).
cnf(c_0_325,plain,
( vd1306 = vd1289
| vd1302 = vd1289
| vd1302 = vd1287
| ron(vd1289,X1)
| ~ rline(X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_316]),c_0_317]),c_0_71]),c_0_72]),c_0_175]),c_0_73]),c_0_174])]),c_0_114]),c_0_196]),c_0_318]),c_0_319]) ).
cnf(c_0_326,negated_conjecture,
~ ron(vd1289,vd1295),
inference(spm,[status(thm)],[c_0_320,c_0_321]) ).
cnf(c_0_327,plain,
( ~ rR(X1,X2,X3)
| ~ rR(X1,X4,X2)
| ~ rR(X1,X4,X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_322])])])]) ).
cnf(c_0_328,plain,
( vd1287 = X1
| ~ rcircle(esk15_2(vd1287,X1))
| ~ rpoint(X1)
| ~ ron(vd1288,esk15_2(vd1287,X1))
| ~ ron(vd1299,esk15_2(vd1287,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_130]),c_0_71])]) ).
cnf(c_0_329,plain,
vf(vd1287,vd1299) = vf(vd1287,vd1306),
inference(split_conjunct,[status(thm)],['holds(conjunct2(352), 1308, 0)']) ).
cnf(c_0_330,plain,
vf(vd1287,vd1302) != vf(vd1287,vd1289),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_164]),c_0_72]),c_0_71])]),c_0_196]) ).
cnf(c_0_331,plain,
( vd1302 = vd1287
| vd1302 = vd1289
| vd1306 = vd1289 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_137]),c_0_326]) ).
cnf(c_0_332,plain,
( ~ rR(vd1289,X1,vd1287)
| ~ rR(vd1289,X1,vd1302)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_70]),c_0_72]),c_0_71]),c_0_73])]) ).
cnf(c_0_333,plain,
( vd1287 = X1
| ~ rpoint(X1)
| ~ ron(vd1288,esk15_2(vd1287,X1))
| ~ ron(vd1299,esk15_2(vd1287,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_297]),c_0_71])]) ).
cnf(c_0_334,plain,
( vf(vd1306,X1) = vf(vd1287,vd1299)
| vf(X1,vd1302) != vf(vd1287,vd1302)
| ~ rR(vd1306,X1,vd1302)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_158]),c_0_329]),c_0_71]),c_0_90]),c_0_73])]) ).
cnf(c_0_335,plain,
( vd1306 = vd1289
| vd1302 = vd1287 ),
inference(spm,[status(thm)],[c_0_330,c_0_331]) ).
cnf(c_0_336,plain,
~ rR(vd1289,vd1287,vd1287),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_70]),c_0_71])]) ).
cnf(c_0_337,plain,
~ ron(vd1288,esk15_2(vd1287,vd1299)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_164]),c_0_136]),c_0_71])]),c_0_156]) ).
cnf(c_0_338,plain,
vf(vd1306,vd1287) = vf(vd1287,vd1299),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_158]),c_0_71])]) ).
cnf(c_0_339,plain,
vd1306 = vd1289,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_335]),c_0_336]) ).
cnf(c_0_340,plain,
vf(vd1287,vd1299) != vf(vd1287,vd1289),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_314]),c_0_126]),c_0_127]),c_0_136]),c_0_71])]),c_0_156]) ).
cnf(c_0_341,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_338,c_0_339]),c_0_207]),c_0_340]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : GEO317+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.16 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n015.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 2400
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Oct 3 07:09:31 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.U7FBrjBhnI/E---3.1_23253.p
% 440.96/56.55 # Version: 3.1pre001
% 440.96/56.55 # Preprocessing class: FSLSSMSMSSSNFFN.
% 440.96/56.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 440.96/56.55 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 440.96/56.55 # Starting new_bool_3 with 300s (1) cores
% 440.96/56.55 # Starting new_bool_1 with 300s (1) cores
% 440.96/56.55 # Starting sh5l with 300s (1) cores
% 440.96/56.55 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 23333 completed with status 0
% 440.96/56.55 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 440.96/56.55 # Preprocessing class: FSLSSMSMSSSNFFN.
% 440.96/56.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 440.96/56.55 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 440.96/56.55 # No SInE strategy applied
% 440.96/56.55 # Search class: FGHSF-FSLM33-SFFFFFNN
% 440.96/56.55 # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 440.96/56.55 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 440.96/56.55 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 440.96/56.55 # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 440.96/56.55 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 440.96/56.55 # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 440.96/56.55 # H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with pid 23341 completed with status 0
% 440.96/56.55 # Result found by H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y
% 440.96/56.55 # Preprocessing class: FSLSSMSMSSSNFFN.
% 440.96/56.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 440.96/56.55 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 440.96/56.55 # No SInE strategy applied
% 440.96/56.55 # Search class: FGHSF-FSLM33-SFFFFFNN
% 440.96/56.55 # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 440.96/56.55 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 440.96/56.55 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 440.96/56.55 # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 440.96/56.55 # Preprocessing time : 0.021 s
% 440.96/56.55 # Presaturation interreduction done
% 440.96/56.55
% 440.96/56.55 # Proof found!
% 440.96/56.55 # SZS status Theorem
% 440.96/56.55 # SZS output start CNFRefutation
% See solution above
% 440.96/56.56 # Parsed axioms : 157
% 440.96/56.56 # Removed by relevancy pruning/SinE : 0
% 440.96/56.56 # Initial clauses : 324
% 440.96/56.56 # Removed in clause preprocessing : 2
% 440.96/56.56 # Initial clauses in saturation : 322
% 440.96/56.56 # Processed clauses : 124986
% 440.96/56.56 # ...of these trivial : 194
% 440.96/56.56 # ...subsumed : 100125
% 440.96/56.56 # ...remaining for further processing : 24667
% 440.96/56.56 # Other redundant clauses eliminated : 1184
% 440.96/56.56 # Clauses deleted for lack of memory : 0
% 440.96/56.56 # Backward-subsumed : 5842
% 440.96/56.56 # Backward-rewritten : 7445
% 440.96/56.56 # Generated clauses : 1291248
% 440.96/56.56 # ...of the previous two non-redundant : 1251898
% 440.96/56.56 # ...aggressively subsumed : 0
% 440.96/56.56 # Contextual simplify-reflections : 4273
% 440.96/56.56 # Paramodulations : 1290874
% 440.96/56.56 # Factorizations : 8
% 440.96/56.56 # NegExts : 0
% 440.96/56.56 # Equation resolutions : 1298
% 440.96/56.56 # Total rewrite steps : 1463477
% 440.96/56.56 # Propositional unsat checks : 0
% 440.96/56.56 # Propositional check models : 0
% 440.96/56.56 # Propositional check unsatisfiable : 0
% 440.96/56.56 # Propositional clauses : 0
% 440.96/56.56 # Propositional clauses after purity: 0
% 440.96/56.56 # Propositional unsat core size : 0
% 440.96/56.56 # Propositional preprocessing time : 0.000
% 440.96/56.56 # Propositional encoding time : 0.000
% 440.96/56.56 # Propositional solver time : 0.000
% 440.96/56.56 # Success case prop preproc time : 0.000
% 440.96/56.56 # Success case prop encoding time : 0.000
% 440.96/56.56 # Success case prop solver time : 0.000
% 440.96/56.56 # Current number of processed clauses : 10818
% 440.96/56.56 # Positive orientable unit clauses : 102
% 440.96/56.56 # Positive unorientable unit clauses: 0
% 440.96/56.56 # Negative unit clauses : 56
% 440.96/56.56 # Non-unit-clauses : 10660
% 440.96/56.56 # Current number of unprocessed clauses: 1095193
% 440.96/56.56 # ...number of literals in the above : 14223428
% 440.96/56.56 # Current number of archived formulas : 0
% 440.96/56.56 # Current number of archived clauses : 13597
% 440.96/56.56 # Clause-clause subsumption calls (NU) : 99283970
% 440.96/56.56 # Rec. Clause-clause subsumption calls : 2968374
% 440.96/56.56 # Non-unit clause-clause subsumptions : 70158
% 440.96/56.56 # Unit Clause-clause subsumption calls : 279428
% 440.96/56.56 # Rewrite failures with RHS unbound : 0
% 440.96/56.56 # BW rewrite match attempts : 161
% 440.96/56.56 # BW rewrite match successes : 46
% 440.96/56.56 # Condensation attempts : 0
% 440.96/56.56 # Condensation successes : 0
% 440.96/56.56 # Termbank termtop insertions : 47667729
% 440.96/56.56
% 440.96/56.56 # -------------------------------------------------
% 440.96/56.56 # User time : 54.001 s
% 440.96/56.56 # System time : 0.906 s
% 440.96/56.56 # Total time : 54.907 s
% 440.96/56.56 # Maximum resident set size: 4456 pages
% 440.96/56.56
% 440.96/56.56 # -------------------------------------------------
% 440.96/56.56 # User time : 270.330 s
% 440.96/56.56 # System time : 4.751 s
% 440.96/56.56 # Total time : 275.081 s
% 440.96/56.56 # Maximum resident set size: 2564 pages
% 440.96/56.56 % E---3.1 exiting
% 440.96/56.56 % E---3.1 exiting
%------------------------------------------------------------------------------