TSTP Solution File: GEO309+1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO309+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n031.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 17:34:49 EDT 2023
% Result : Theorem 634.10s 80.68s
% Output : CNFRefutation 634.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 53
% Syntax : Number of formulae : 343 ( 85 unt; 0 def)
% Number of atoms : 1878 ( 732 equ)
% Maximal formula atoms : 43 ( 5 avg)
% Number of connectives : 2662 (1127 ~;1209 |; 283 &)
% ( 8 <=>; 35 =>; 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 : 843 ( 0 sgn; 299 !; 70 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))',axiom,
! [X179,X180,X181,X182] :
( ( ron(X180,X182)
& ron(X180,X181)
& ron(X179,X182)
& ron(X179,X181)
& ? [X183] :
( X182 = X183
& rline(X183) )
& ? [X184] :
( X181 = X184
& rline(X184) )
& X179 != X180
& ? [X185] :
( X180 = X185
& rpoint(X185) )
& ? [X186] :
( X179 = X186
& rpoint(X186) ) )
=> X181 = X182 ),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 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.hVFhFKpKch/E---3.1_13282.p','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 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
& ? [X1] :
( vd1289 = X1
& rpoint(X1) )
& ? [X2] :
( vd1288 = X2
& rpoint(X2) )
& ? [X3] :
( vd1287 = X3
& rpoint(X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.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(188), 0), imp(cond(axiom(188), 0)))',axiom,
! [X113,X114,X115,X116,X117,X118,X119,X120] :
( ( ron(X115,X119)
& ron(X113,X119)
& X113 != X117
& X113 != X115
& X119 = X120
& rline(X120)
& X117 = X118
& rpoint(X118)
& X115 = X116
& rpoint(X116)
& X113 = X114
& rpoint(X114) )
=> ( ( ~ rR(X113,X115,X117)
& ron(X117,X119) )
<=> vangle(X115,X113,X117) = v0 ) ),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).
fof('pred(conjunct2(349), 0)',axiom,
ron(vd1302,vd1297),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','pred(conjunct2(349), 0)') ).
fof('pred(347, 0)',axiom,
rline(vd1297),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','pred(347, 0)') ).
fof('qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))',axiom,
! [X92,X93] :
( ( X92 != X93
& ? [X94] :
( X93 = X94
& rpoint(X94) )
& ? [X95] :
( X92 = X95
& rpoint(X95) ) )
=> ? [X96] :
( ron(X93,X96)
& ron(X92,X96)
& rline(X96) ) ),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).
fof('qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))',axiom,
! [X90,X91] :
( ( X90 = X91
& rreal(X91) )
=> ~ rless(X90,X90) ),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))') ).
fof('qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))',axiom,
! [X274,X275,X276,X277,X278,X279] :
( ( rless(X274,X276)
& X278 = X279
& rreal(X279)
& X276 = X277
& rreal(X277)
& X274 = X275
& rreal(X275) )
=> rless(vplus(X274,X278),vplus(X276,X278)) ),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))') ).
fof('qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))',axiom,
! [X201,X202] :
( ( X201 = X202
& rreal(X202) )
=> vplus(X201,v0) = X201 ),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))') ).
fof('qu(cond(axiom(200), 0), imp(cond(axiom(200), 0)))',axiom,
! [X692,X693,X694,X695,X696] :
( ( ron(X693,X695)
& ron(X692,X695)
& X692 != X693
& X695 = X696
& rline(X696)
& ? [X697] :
( X694 = X697
& rpoint(X697) )
& ? [X698] :
( X693 = X698
& rpoint(X698) )
& ? [X699] :
( X692 = X699
& rpoint(X699) ) )
=> ( vg(X692,X693,X694) = v0
<=> ron(X694,X695) ) ),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','qu(cond(axiom(200), 0), imp(cond(axiom(200), 0)))') ).
fof('pred(conjunct1(353), 0)',axiom,
ron(vd1306,vd1297),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','pred(conjunct1(353), 0)') ).
fof('pred(352, 0)',axiom,
rpoint(vd1306),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','pred(352, 0)') ).
fof('holds(conjunct1(conjunct2(conjunct2(353))), 1310, 0)',axiom,
vd1306 != vd1302,
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','holds(conjunct1(conjunct2(conjunct2(353))), 1310, 0)') ).
fof('pred(s1(plural(347)), 0)',axiom,
ron(vd1287,vd1297),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','pred(s1(plural(347)), 0)') ).
fof('pred(axiom(137), 1)',axiom,
rreal(vd684),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','pred(axiom(137), 1)') ).
fof('pred(axiom(137), 2)',axiom,
v0 = vd684,
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','pred(axiom(137), 2)') ).
fof('qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))',axiom,
! [X85,X86] :
( ( ? [X87] :
( X86 = X87
& rpoint(X87) )
& ? [X88] :
( X85 = X88
& rpoint(X88) ) )
=> ? [X89] :
( vf(X85,X86) = X89
& rreal(X89) ) ),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).
fof('qu(cond(axiom(123), 0), imp(cond(axiom(123), 0)))',axiom,
! [X345,X346,X347,X348,X349] :
( ( rR(X347,X345,X346)
& ~ rinside(X347,X348)
& ( ron(X345,X348)
| rinside(X345,X348) )
& X348 = X349
& rcircle(X349)
& ? [X350] :
( X347 = X350
& rpoint(X350) )
& ? [X351] :
( X346 = X351
& rpoint(X351) )
& ? [X352] :
( X345 = X352
& rpoint(X352) ) )
=> ( ~ ron(X346,X348)
& ~ ron(X346,X348) ) ),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','qu(cond(axiom(123), 0), imp(cond(axiom(123), 0)))') ).
fof('pred(s2(plural(347)), 0)',axiom,
ron(vd1289,vd1297),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','pred(s2(plural(347)), 0)') ).
fof('qu(cond(axiom(145), 0), imp(cond(axiom(145), 0)))',axiom,
! [X286,X287,X288,X289] :
( ( X288 = X289
& rreal(X289)
& X286 = X287
& rreal(X287) )
=> ( rless(X286,X288)
| X286 = X288
| rless(X288,X286) ) ),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','qu(cond(axiom(145), 0), imp(cond(axiom(145), 0)))') ).
fof('qu(cond(axiom(139), 0), imp(cond(axiom(139), 0)))',axiom,
! [X290,X291,X292,X293] :
( ( X292 = X293
& rreal(X293)
& X290 = X291
& rreal(X291) )
=> ? [X294] :
( vplus(X290,X292) = X294
& rreal(X294) ) ),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','qu(cond(axiom(139), 0), imp(cond(axiom(139), 0)))') ).
fof('qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))',axiom,
! [X197,X198,X199,X200] :
( ( X199 = X200
& rreal(X200)
& X197 = X198
& rreal(X198) )
=> vplus(X197,X199) = vplus(X199,X197) ),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))') ).
fof('neg(neg(conjunct2(356)))',axiom,
~ rR(vd1287,vd1289,vd1306),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','neg(neg(conjunct2(356)))') ).
fof('qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))',axiom,
! [X249,X250,X251] :
( ( rR(X250,X249,X251)
& ? [X252] :
( X251 = X252
& rpoint(X252) )
& ? [X253] :
( X250 = X253
& rpoint(X253) )
& ? [X254] :
( X249 = X254
& rpoint(X254) ) )
=> vplus(vf(X249,X250),vf(X250,X251)) = vf(X249,X251) ),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))') ).
fof('qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))',axiom,
! [X175,X176,X177,X178] :
( ( rinside(X175,X177)
& X177 = X178
& rcircle(X178)
& X175 = X176
& rpoint(X176) )
=> ~ ron(X175,X177) ),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))') ).
fof('holds(conjunct2(conjunct2(conjunct2(355))), 1309, 0)',axiom,
vd1306 != vd1287,
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','holds(conjunct2(conjunct2(conjunct2(355))), 1309, 0)') ).
fof('qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))',axiom,
! [X26,X27,X28] :
( ( rR(X27,X26,X28)
& ? [X29] :
( X28 = X29
& rpoint(X29) )
& ? [X30] :
( X27 = X30
& rpoint(X30) )
& ? [X31] :
( X26 = X31
& rpoint(X31) ) )
=> ( ~ rR(X26,X27,X28)
& X26 != X28
& X26 != X27
& rR(X27,X28,X26) ) ),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof('qu(cond(axiom(87), 0), imp(cond(axiom(87), 0)))',axiom,
! [X167,X168,X169,X170] :
( ( rR(X170,X167,X168)
& rR(X168,X167,X169)
& ? [X171] :
( X170 = X171
& rpoint(X171) )
& ? [X172] :
( X169 = X172
& rpoint(X172) )
& ? [X173] :
( X168 = X173
& rpoint(X173) )
& ? [X174] :
( X167 = X174
& rpoint(X174) ) )
=> rR(X170,X167,X169) ),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','qu(cond(axiom(87), 0), imp(cond(axiom(87), 0)))') ).
fof('qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))',axiom,
! [X265,X266] :
( ( X265 != X266
& ? [X267] :
( X266 = X267
& rpoint(X267) )
& ? [X268] :
( X265 = X268
& rpoint(X268) ) )
=> ? [X269] :
( ron(X266,X269)
& rcenter(X265,X269)
& rcircle(X269) ) ),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))') ).
fof('qu(cond(axiom(202), 0), imp(cond(axiom(202), 0)))',axiom,
! [X675,X676,X677,X678,X679,X680] :
( ( ~ ron(X678,X679)
& X679 = X680
& rline(X680)
& X677 != X678
& X676 != X678
& X676 != X677
& X675 != X678
& X675 != X677
& X675 != X676
& ? [X681] :
( X678 = X681
& rpoint(X681) )
& ? [X682] :
( X677 = X682
& rpoint(X682) )
& ? [X683] :
( X676 = X683
& rpoint(X683) )
& ? [X684] :
( X675 = X684
& rpoint(X684) ) )
=> ( rR(X677,X675,X676)
<=> vplus(vg(X675,X677,X678),vg(X678,X677,X676)) = vg(X675,X678,X676) ) ),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','qu(cond(axiom(202), 0), imp(cond(axiom(202), 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.hVFhFKpKch/E---3.1_13282.p','qu(cond(axiom(176), 0), imp(cond(axiom(176), 0)))') ).
fof('qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))',axiom,
! [X187,X188] :
( ( ? [X189] :
( X188 = X189
& rpoint(X189) )
& ? [X190] :
( X187 = X190
& rpoint(X190) ) )
=> vf(X187,X188) = vf(X188,X187) ),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof('qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))',axiom,
! [X263,X264] :
( rcenter(X263,X264)
=> rinside(X263,X264) ),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).
fof('qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))',axiom,
! [X127,X128,X129,X130,X131,X132] :
( ( ron(X131,X130)
& X131 = X132
& rpoint(X132)
& rcenter(X129,X130)
& X127 = X128
& rpoint(X128) )
=> ( vf(X129,X127) = vf(X129,X131)
<=> ron(X127,X130) ) ),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))') ).
fof('holds(conjunct1(352), 1307, 0)',axiom,
rR(vd1306,vd1287,vd1302),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','holds(conjunct1(352), 1307, 0)') ).
fof('holds(conjunct2(352), 1308, 0)',axiom,
vf(vd1287,vd1299) = vf(vd1287,vd1306),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','holds(conjunct2(352), 1308, 0)') ).
fof('holds(conjunct1(359), 1318, 0)',conjecture,
vf(vd1299,vd1289) = vf(vd1306,vd1288),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','holds(conjunct1(359), 1318, 0)') ).
fof('qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))',axiom,
! [X63,X64,X65,X66,X67] :
( ( X66 = X67
& ron(X65,X66)
& ron(X63,X66)
& rR(X64,X63,X65)
& rline(X67)
& ? [X68] :
( X65 = X68
& rpoint(X68) )
& ? [X69] :
( X64 = X69
& rpoint(X69) )
& ? [X70] :
( X63 = X70
& rpoint(X70) ) )
=> ron(X64,X66) ),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))') ).
fof('qu(cond(axiom(93), 0), imp(cond(axiom(93), 0)))',axiom,
! [X462,X463,X464,X465] :
( ( rR(X463,X462,X465)
& rR(X463,X462,X464)
& ? [X466] :
( X465 = X466
& rpoint(X466) )
& ? [X467] :
( X464 = X467
& rpoint(X467) )
& ? [X468] :
( X463 = X468
& rpoint(X468) )
& ? [X469] :
( X462 = X469
& rpoint(X469) ) )
=> ~ rR(X463,X464,X465) ),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','qu(cond(axiom(93), 0), imp(cond(axiom(93), 0)))') ).
fof('qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))',axiom,
! [X121,X122,X123,X124] :
( ( ron(X122,X124)
& rcenter(X123,X124)
& ? [X125] :
( X122 = X125
& rpoint(X125) )
& ? [X126] :
( X121 = X126
& rpoint(X126) ) )
=> ( rless(vf(X123,X121),vf(X123,X122))
<=> rinside(X121,X124) ) ),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))') ).
fof('pred(348, 1)',axiom,
rpoint(vd1300),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','pred(348, 1)') ).
fof('pred(348, 4)',axiom,
vd1299 = vd1300,
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','pred(348, 4)') ).
fof('pred(s1(plural(346)), 0)',axiom,
ron(vd1287,vd1295),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','pred(s1(plural(346)), 0)') ).
fof('pred(346, 0)',axiom,
rline(vd1295),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','pred(346, 0)') ).
fof('ass(cond(156, 0), 0)',axiom,
! [X191,X192,X193,X194,X195,X196] :
( ( vplus(X191,X195) = vplus(X193,X195)
& X195 = X196
& rreal(X196)
& X193 = X194
& rreal(X194)
& X191 = X192
& rreal(X192) )
=> X191 = X193 ),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','ass(cond(156, 0), 0)') ).
fof('holds(358, 1317, 0)',axiom,
vangle(vd1288,vd1287,vd1289) = vangle(vd1299,vd1287,vd1289),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','holds(358, 1317, 0)') ).
fof('holds(conjunct1(conjunct2(conjunct2(355))), 1311, 0)',axiom,
vd1299 != vd1287,
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','holds(conjunct1(conjunct2(conjunct2(355))), 1311, 0)') ).
fof('qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))',axiom,
! [X139,X140] :
( ( ? [X141] :
( X140 = X141
& rpoint(X141) )
& ? [X142] :
( X139 = X142
& rpoint(X142) ) )
=> ( vf(X139,X140) = v0
<=> X139 = X140 ) ),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
fof('qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))',axiom,
! [X159,X160,X161,X162,X163] :
( ( X162 = X163
& ron(X161,X162)
& ron(X160,X162)
& ron(X159,X162)
& rline(X163)
& X160 != X161
& X159 != X161
& X159 != X160
& ? [X164] :
( X161 = X164
& rpoint(X164) )
& ? [X165] :
( X160 = X165
& rpoint(X165) )
& ? [X166] :
( X159 = X166
& rpoint(X166) ) )
=> ( rR(X160,X159,X161)
| rR(X159,X160,X161)
| rR(X161,X159,X160) ) ),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))') ).
fof('holds(357, 1316, 0)',axiom,
vangle(vd1288,vd1287,vd1289) = vangle(vd1288,vd1287,vd1306),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','holds(357, 1316, 0)') ).
fof('pred(s2(plural(346)), 0)',axiom,
ron(vd1288,vd1295),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','pred(s2(plural(346)), 0)') ).
fof('pred(conjunct1(349), 0)',axiom,
ron(vd1299,vd1295),
file('/export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p','pred(conjunct1(349), 0)') ).
fof(c_0_53,plain,
! [X995,X996,X997,X998,X999,X1000,X1001,X1002] :
( ~ ron(X996,X998)
| ~ ron(X996,X997)
| ~ ron(X995,X998)
| ~ ron(X995,X997)
| X998 != X999
| ~ rline(X999)
| X997 != X1000
| ~ rline(X1000)
| X995 = X996
| X996 != X1001
| ~ rpoint(X1001)
| X995 != X1002
| ~ rpoint(X1002)
| X997 = X998 ),
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)))'])])]) ).
cnf(c_0_54,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_53]) ).
cnf(c_0_55,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_56,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_57,plain,
( vf(vd1287,vd1288) = vf(vd1287,vd1289)
& vd1288 != vd1289
& vd1287 != vd1289
& vd1287 != vd1288
& vd1289 = esk1_0
& rpoint(esk1_0)
& vd1288 = esk2_0
& rpoint(esk2_0)
& vd1287 = esk3_0
& rpoint(esk3_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_58,plain,
! [X113,X114,X115,X116,X117,X118,X119,X120] :
( ( ron(X115,X119)
& ron(X113,X119)
& X113 != X117
& X113 != X115
& X119 = X120
& rline(X120)
& X117 = X118
& rpoint(X118)
& X115 = X116
& rpoint(X116)
& X113 = X114
& rpoint(X114) )
=> ( ( ~ rR(X113,X115,X117)
& ron(X117,X119) )
<=> vangle(X115,X113,X117) = v0 ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))']) ).
cnf(c_0_59,plain,
( X1 = X2
| X3 = X4
| ~ rline(X2)
| ~ rline(X1)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,X2)
| ~ ron(X3,X1)
| ~ rpoint(X4)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_54])])])]) ).
cnf(c_0_60,plain,
ron(vd1302,vd1297),
inference(split_conjunct,[status(thm)],['pred(conjunct2(349), 0)']) ).
cnf(c_0_61,plain,
rline(vd1297),
inference(split_conjunct,[status(thm)],['pred(347, 0)']) ).
cnf(c_0_62,plain,
rpoint(vd1302),
inference(rw,[status(thm)],[c_0_55,c_0_56]) ).
fof(c_0_63,plain,
! [X900,X901,X902,X903] :
( ( ron(X901,esk8_2(X900,X901))
| X900 = X901
| X901 != X902
| ~ rpoint(X902)
| X900 != X903
| ~ rpoint(X903) )
& ( ron(X900,esk8_2(X900,X901))
| X900 = X901
| X901 != X902
| ~ rpoint(X902)
| X900 != X903
| ~ rpoint(X903) )
& ( rline(esk8_2(X900,X901))
| X900 = X901
| X901 != X902
| ~ rpoint(X902)
| X900 != X903
| ~ rpoint(X903) ) ),
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_64,plain,
rpoint(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_65,plain,
vd1287 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_57]) ).
fof(c_0_66,plain,
! [X90,X91] :
( ( X90 = X91
& rreal(X91) )
=> ~ rless(X90,X90) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))']) ).
fof(c_0_67,plain,
! [X1090,X1091,X1092,X1093,X1094,X1095] :
( ~ rless(X1090,X1092)
| X1094 != X1095
| ~ rreal(X1095)
| X1092 != X1093
| ~ rreal(X1093)
| X1090 != X1091
| ~ rreal(X1091)
| rless(vplus(X1090,X1094),vplus(X1092,X1094)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))'])]) ).
fof(c_0_68,plain,
! [X1017,X1018] :
( X1017 != X1018
| ~ rreal(X1018)
| vplus(X1017,v0) = X1017 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))'])]) ).
fof(c_0_69,plain,
! [X929,X930,X931,X932,X933,X934,X935,X936] :
( ( rR(X929,X931,X933)
| ~ ron(X933,X935)
| vangle(X931,X929,X933) = v0
| ~ ron(X931,X935)
| ~ ron(X929,X935)
| X929 = X933
| X929 = X931
| X935 != X936
| ~ rline(X936)
| X933 != X934
| ~ rpoint(X934)
| X931 != X932
| ~ rpoint(X932)
| X929 != X930
| ~ rpoint(X930) )
& ( ~ rR(X929,X931,X933)
| vangle(X931,X929,X933) != v0
| ~ ron(X931,X935)
| ~ ron(X929,X935)
| X929 = X933
| X929 = X931
| X935 != X936
| ~ rline(X936)
| X933 != X934
| ~ rpoint(X934)
| X931 != X932
| ~ rpoint(X932)
| X929 != X930
| ~ rpoint(X930) )
& ( ron(X933,X935)
| vangle(X931,X929,X933) != v0
| ~ ron(X931,X935)
| ~ ron(X929,X935)
| X929 = X933
| X929 = X931
| X935 != X936
| ~ rline(X936)
| X933 != X934
| ~ rpoint(X934)
| X931 != X932
| ~ rpoint(X932)
| X929 != X930
| ~ rpoint(X930) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])]) ).
fof(c_0_70,plain,
! [X1508,X1509,X1510,X1511,X1512,X1513,X1514,X1515] :
( ( vg(X1508,X1509,X1510) != v0
| ron(X1510,X1511)
| ~ ron(X1509,X1511)
| ~ ron(X1508,X1511)
| X1508 = X1509
| X1511 != X1512
| ~ rline(X1512)
| X1510 != X1513
| ~ rpoint(X1513)
| X1509 != X1514
| ~ rpoint(X1514)
| X1508 != X1515
| ~ rpoint(X1515) )
& ( ~ ron(X1510,X1511)
| vg(X1508,X1509,X1510) = v0
| ~ ron(X1509,X1511)
| ~ ron(X1508,X1511)
| X1508 = X1509
| X1511 != X1512
| ~ rline(X1512)
| X1510 != X1513
| ~ rpoint(X1513)
| X1509 != X1514
| ~ rpoint(X1514)
| X1508 != X1515
| ~ rpoint(X1515) ) ),
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_71,plain,
( X1 = vd1297
| X2 = vd1302
| ~ rline(X1)
| ~ ron(vd1302,X1)
| ~ ron(X2,vd1297)
| ~ ron(X2,X1)
| ~ rpoint(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]),c_0_62])]) ).
cnf(c_0_72,plain,
ron(vd1306,vd1297),
inference(split_conjunct,[status(thm)],['pred(conjunct1(353), 0)']) ).
cnf(c_0_73,plain,
rpoint(vd1306),
inference(split_conjunct,[status(thm)],['pred(352, 0)']) ).
cnf(c_0_74,plain,
vd1306 != vd1302,
inference(split_conjunct,[status(thm)],['holds(conjunct1(conjunct2(conjunct2(353))), 1310, 0)']) ).
cnf(c_0_75,plain,
( rline(esk8_2(X1,X2))
| X1 = X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_76,plain,
ron(vd1287,vd1297),
inference(split_conjunct,[status(thm)],['pred(s1(plural(347)), 0)']) ).
cnf(c_0_77,plain,
rpoint(vd1287),
inference(rw,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_78,plain,
rpoint(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_79,plain,
vd1289 = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_57]) ).
fof(c_0_80,plain,
! [X898,X899] :
( X898 != X899
| ~ rreal(X899)
| ~ rless(X898,X898) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])]) ).
cnf(c_0_81,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_67]) ).
cnf(c_0_82,plain,
( vplus(X1,v0) = X1
| X1 != X2
| ~ rreal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_83,plain,
rreal(vd684),
inference(split_conjunct,[status(thm)],['pred(axiom(137), 1)']) ).
cnf(c_0_84,plain,
v0 = vd684,
inference(split_conjunct,[status(thm)],['pred(axiom(137), 2)']) ).
cnf(c_0_85,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_69]) ).
fof(c_0_86,plain,
! [X893,X894,X895,X896] :
( ( vf(X893,X894) = esk7_2(X893,X894)
| X894 != X895
| ~ rpoint(X895)
| X893 != X896
| ~ rpoint(X896) )
& ( rreal(esk7_2(X893,X894))
| X894 != X895
| ~ rpoint(X895)
| X893 != X896
| ~ rpoint(X896) ) ),
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_87,plain,
! [X345,X346,X347,X348,X349] :
( ( rR(X347,X345,X346)
& ~ rinside(X347,X348)
& ( ron(X345,X348)
| rinside(X345,X348) )
& X348 = X349
& rcircle(X349)
& ? [X350] :
( X347 = X350
& rpoint(X350) )
& ? [X351] :
( X346 = X351
& rpoint(X351) )
& ? [X352] :
( X345 = X352
& rpoint(X352) ) )
=> ~ ron(X346,X348) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(123), 0), imp(cond(axiom(123), 0)))']) ).
cnf(c_0_88,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_70]) ).
cnf(c_0_89,plain,
( ron(X1,esk8_2(X2,X1))
| X2 = X1
| X1 != X3
| ~ rpoint(X3)
| X2 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_90,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_71,c_0_72]),c_0_73])]),c_0_74]) ).
cnf(c_0_91,plain,
( X1 = X2
| rline(esk8_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_75])]) ).
cnf(c_0_92,plain,
( ron(X1,esk8_2(X1,X2))
| X1 = X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_93,plain,
( X1 = vd1297
| X2 = vd1287
| ~ rline(X1)
| ~ ron(vd1287,X1)
| ~ ron(X2,vd1297)
| ~ ron(X2,X1)
| ~ rpoint(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_76]),c_0_61]),c_0_77])]) ).
cnf(c_0_94,plain,
ron(vd1289,vd1297),
inference(split_conjunct,[status(thm)],['pred(s2(plural(347)), 0)']) ).
cnf(c_0_95,plain,
rpoint(vd1289),
inference(rw,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_96,plain,
vd1287 != vd1289,
inference(split_conjunct,[status(thm)],[c_0_57]) ).
fof(c_0_97,plain,
! [X1102,X1103,X1104,X1105] :
( X1104 != X1105
| ~ rreal(X1105)
| X1102 != X1103
| ~ rreal(X1103)
| rless(X1102,X1104)
| X1102 = X1104
| rless(X1104,X1102) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(145), 0), imp(cond(axiom(145), 0)))'])]) ).
fof(c_0_98,plain,
! [X1106,X1107,X1108,X1109] :
( ( vplus(X1106,X1108) = esk16_3(X1106,X1107,X1108)
| X1108 != X1109
| ~ rreal(X1109)
| X1106 != X1107
| ~ rreal(X1107) )
& ( rreal(esk16_3(X1106,X1107,X1108))
| X1108 != X1109
| ~ rreal(X1109)
| X1106 != X1107
| ~ rreal(X1107) ) ),
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_99,plain,
( X1 != X2
| ~ rreal(X2)
| ~ rless(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_100,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_81])])]) ).
cnf(c_0_101,plain,
( vplus(X1,v0) = X1
| ~ rreal(X1) ),
inference(er,[status(thm)],[c_0_82]) ).
cnf(c_0_102,plain,
rreal(v0),
inference(rw,[status(thm)],[c_0_83,c_0_84]) ).
fof(c_0_103,plain,
! [X1013,X1014,X1015,X1016] :
( X1015 != X1016
| ~ rreal(X1016)
| X1013 != X1014
| ~ rreal(X1014)
| vplus(X1013,X1015) = vplus(X1015,X1013) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))'])]) ).
fof(c_0_104,plain,
~ rR(vd1287,vd1289,vd1306),
inference(fof_simplification,[status(thm)],['neg(neg(conjunct2(356)))']) ).
cnf(c_0_105,plain,
( vangle(X1,X2,X3) = v0
| X2 = X3
| X2 = X1
| rR(X2,X1,X3)
| ~ rline(X4)
| ~ ron(X3,X4)
| ~ ron(X1,X4)
| ~ ron(X2,X4)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_85])])])]) ).
fof(c_0_106,plain,
! [X1065,X1066,X1067,X1068,X1069,X1070] :
( ~ rR(X1066,X1065,X1067)
| X1067 != X1068
| ~ rpoint(X1068)
| X1066 != X1069
| ~ rpoint(X1069)
| X1065 != X1070
| ~ rpoint(X1070)
| vplus(vf(X1065,X1066),vf(X1066,X1067)) = vf(X1065,X1067) ),
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_107,plain,
( rreal(esk7_2(X1,X2))
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_108,plain,
( vf(X1,X2) = esk7_2(X1,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
fof(c_0_109,plain,
! [X175,X176,X177,X178] :
( ( rinside(X175,X177)
& X177 = X178
& rcircle(X178)
& X175 = X176
& rpoint(X176) )
=> ~ ron(X175,X177) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))']) ).
fof(c_0_110,plain,
! [X1161,X1162,X1163,X1164,X1165,X1166,X1167,X1168] :
( ( ~ ron(X1161,X1164)
| ~ rR(X1163,X1161,X1162)
| rinside(X1163,X1164)
| X1164 != X1165
| ~ rcircle(X1165)
| X1163 != X1166
| ~ rpoint(X1166)
| X1162 != X1167
| ~ rpoint(X1167)
| X1161 != X1168
| ~ rpoint(X1168)
| ~ ron(X1162,X1164) )
& ( ~ rinside(X1161,X1164)
| ~ rR(X1163,X1161,X1162)
| rinside(X1163,X1164)
| X1164 != X1165
| ~ rcircle(X1165)
| X1163 != X1166
| ~ rpoint(X1166)
| X1162 != X1167
| ~ rpoint(X1167)
| X1161 != X1168
| ~ rpoint(X1168)
| ~ ron(X1162,X1164) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_87])])])]) ).
cnf(c_0_111,plain,
( vg(X1,X2,X3) = v0
| X1 = X2
| ~ rline(X4)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ ron(X3,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_88])])])]) ).
cnf(c_0_112,plain,
( X1 = X2
| ron(X1,esk8_2(X2,X1))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_89])]) ).
cnf(c_0_113,plain,
( esk8_2(X1,X2) = vd1297
| X1 = X2
| ~ ron(vd1302,esk8_2(X1,X2))
| ~ ron(vd1306,esk8_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_114,plain,
( X1 = X2
| ron(X1,esk8_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_92])]) ).
cnf(c_0_115,plain,
( X1 = vd1297
| ~ rline(X1)
| ~ ron(vd1287,X1)
| ~ ron(vd1289,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95])]),c_0_96]) ).
cnf(c_0_116,plain,
( rless(X3,X1)
| X3 = X1
| rless(X1,X3)
| X1 != X2
| ~ rreal(X2)
| X3 != X4
| ~ rreal(X4) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_117,plain,
( rreal(esk16_3(X1,X2,X3))
| X3 != X4
| ~ rreal(X4)
| X1 != X2
| ~ rreal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_118,plain,
( vplus(X1,X2) = esk16_3(X1,X3,X2)
| X2 != X4
| ~ rreal(X4)
| X1 != X3
| ~ rreal(X3) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_119,plain,
( ~ rreal(X1)
| ~ rless(X1,X1) ),
inference(er,[status(thm)],[c_0_99]) ).
cnf(c_0_120,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_100,c_0_101]),c_0_102])]) ).
cnf(c_0_121,plain,
( vplus(X3,X1) = vplus(X1,X3)
| X1 != X2
| ~ rreal(X2)
| X3 != X4
| ~ rreal(X4) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_122,plain,
( ron(X1,X2)
| X4 = X1
| X4 = X3
| vangle(X3,X4,X1) != v0
| ~ ron(X3,X2)
| ~ ron(X4,X2)
| X2 != X5
| ~ rline(X5)
| X1 != X6
| ~ rpoint(X6)
| X3 != X7
| ~ rpoint(X7)
| X4 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_123,plain,
~ rR(vd1287,vd1289,vd1306),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_124,plain,
( vangle(X1,X2,vd1306) = v0
| X2 = vd1306
| X2 = X1
| rR(X2,X1,vd1306)
| ~ ron(X1,vd1297)
| ~ ron(X2,vd1297)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_72]),c_0_61]),c_0_73])]) ).
cnf(c_0_125,plain,
vd1306 != vd1287,
inference(split_conjunct,[status(thm)],['holds(conjunct2(conjunct2(conjunct2(355))), 1309, 0)']) ).
fof(c_0_126,plain,
! [X26,X27,X28] :
( ( rR(X27,X26,X28)
& ? [X29] :
( X28 = X29
& rpoint(X29) )
& ? [X30] :
( X27 = X30
& rpoint(X30) )
& ? [X31] :
( X26 = X31
& rpoint(X31) ) )
=> ( ~ rR(X26,X27,X28)
& X26 != X28
& X26 != X27
& rR(X27,X28,X26) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))']) ).
fof(c_0_127,plain,
! [X983,X984,X985,X986,X987,X988,X989,X990] :
( ~ rR(X986,X983,X984)
| ~ rR(X984,X983,X985)
| X986 != X987
| ~ rpoint(X987)
| X985 != X988
| ~ rpoint(X988)
| X984 != X989
| ~ rpoint(X989)
| X983 != X990
| ~ rpoint(X990)
| rR(X986,X983,X985) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(87), 0), imp(cond(axiom(87), 0)))'])])]) ).
cnf(c_0_128,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_106]) ).
cnf(c_0_129,plain,
( rreal(esk7_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_107])]) ).
cnf(c_0_130,plain,
( esk7_2(X1,X2) = vf(X1,X2)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_108])]) ).
fof(c_0_131,plain,
! [X991,X992,X993,X994] :
( ~ rinside(X991,X993)
| X993 != X994
| ~ rcircle(X994)
| X991 != X992
| ~ rpoint(X992)
| ~ ron(X991,X993) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_109])]) ).
cnf(c_0_132,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_110]) ).
fof(c_0_133,plain,
! [X1081,X1082,X1083,X1084] :
( ( ron(X1082,esk13_2(X1081,X1082))
| X1081 = X1082
| X1082 != X1083
| ~ rpoint(X1083)
| X1081 != X1084
| ~ rpoint(X1084) )
& ( rcenter(X1081,esk13_2(X1081,X1082))
| X1081 = X1082
| X1082 != X1083
| ~ rpoint(X1083)
| X1081 != X1084
| ~ rpoint(X1084) )
& ( rcircle(esk13_2(X1081,X1082))
| X1081 = X1082
| X1082 != X1083
| ~ rpoint(X1083)
| X1081 != X1084
| ~ rpoint(X1084) ) ),
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)))'])])])])]) ).
fof(c_0_134,plain,
! [X675,X676,X677,X678,X679,X680] :
( ( ~ ron(X678,X679)
& X679 = X680
& rline(X680)
& X677 != X678
& X676 != X678
& X676 != X677
& X675 != X678
& X675 != X677
& X675 != X676
& ? [X681] :
( X678 = X681
& rpoint(X681) )
& ? [X682] :
( X677 = X682
& rpoint(X682) )
& ? [X683] :
( X676 = X683
& rpoint(X683) )
& ? [X684] :
( X675 = X684
& rpoint(X684) ) )
=> ( rR(X677,X675,X676)
<=> vplus(vg(X675,X677,X678),vg(X678,X677,X676)) = vg(X675,X678,X676) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(202), 0), imp(cond(axiom(202), 0)))']) ).
fof(c_0_135,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_136,plain,
( vg(X1,X2,X3) = v0
| X2 = X4
| X1 = X2
| ~ ron(X1,esk8_2(X4,X2))
| ~ ron(X3,esk8_2(X4,X2))
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_91]) ).
cnf(c_0_137,plain,
( esk8_2(vd1302,X1) = vd1297
| vd1302 = X1
| ~ ron(vd1306,esk8_2(vd1302,X1))
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_62])]) ).
cnf(c_0_138,plain,
( esk8_2(X1,X2) = vd1297
| X1 = X2
| ~ ron(vd1287,esk8_2(X1,X2))
| ~ ron(vd1289,esk8_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_115,c_0_91]) ).
cnf(c_0_139,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_100,c_0_101]),c_0_102])]) ).
cnf(c_0_140,plain,
( X1 = X2
| rless(X2,X1)
| rless(X1,X2)
| ~ rreal(X2)
| ~ rreal(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_116])]) ).
cnf(c_0_141,plain,
( rreal(esk16_3(X1,X1,X2))
| ~ rreal(X2)
| ~ rreal(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_117])]) ).
cnf(c_0_142,plain,
( esk16_3(X1,X1,X2) = vplus(X1,X2)
| ~ rreal(X2)
| ~ rreal(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_118])]) ).
cnf(c_0_143,plain,
( ~ rreal(vplus(X1,v0))
| ~ rreal(X1)
| ~ rless(X1,vplus(X1,v0)) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_144,plain,
( vplus(X1,X2) = vplus(X2,X1)
| ~ rreal(X2)
| ~ rreal(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_121])]) ).
cnf(c_0_145,plain,
( X1 = X2
| X3 = X2
| ron(X3,X4)
| vangle(X1,X2,X3) != v0
| ~ rline(X4)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_122])])])]) ).
cnf(c_0_146,plain,
vangle(vd1289,vd1287,vd1306) = v0,
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(spm,[status(thm)],[c_0_123,c_0_124]),c_0_94]),c_0_76]),c_0_77]),c_0_95])]),c_0_125]),c_0_96]) ).
fof(c_0_147,plain,
! [X786,X787,X788,X789,X790,X791] :
( ( ~ rR(X786,X787,X788)
| ~ rR(X787,X786,X788)
| X788 != X789
| ~ rpoint(X789)
| X787 != X790
| ~ rpoint(X790)
| X786 != X791
| ~ rpoint(X791) )
& ( X786 != X788
| ~ rR(X787,X786,X788)
| X788 != X789
| ~ rpoint(X789)
| X787 != X790
| ~ rpoint(X790)
| X786 != X791
| ~ rpoint(X791) )
& ( X786 != X787
| ~ rR(X787,X786,X788)
| X788 != X789
| ~ rpoint(X789)
| X787 != X790
| ~ rpoint(X790)
| X786 != X791
| ~ rpoint(X791) )
& ( rR(X787,X788,X786)
| ~ rR(X787,X786,X788)
| X788 != X789
| ~ rpoint(X789)
| X787 != X790
| ~ rpoint(X790)
| X786 != X791
| ~ rpoint(X791) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_126])])])]) ).
cnf(c_0_148,plain,
( rR(X1,X2,X4)
| ~ rR(X1,X2,X3)
| ~ rR(X3,X2,X4)
| X1 != X5
| ~ rpoint(X5)
| X4 != X6
| ~ rpoint(X6)
| X3 != X7
| ~ rpoint(X7)
| X2 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_149,plain,
( vplus(vf(X1,X2),vf(X2,X3)) = vf(X1,X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rR(X2,X1,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_128])])]) ).
cnf(c_0_150,plain,
( rreal(vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
fof(c_0_151,plain,
! [X1003,X1004,X1005,X1006] :
( X1004 != X1005
| ~ rpoint(X1005)
| X1003 != X1006
| ~ rpoint(X1006)
| vf(X1003,X1004) = vf(X1004,X1003) ),
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_152,plain,
( ~ rinside(X1,X2)
| X2 != X3
| ~ rcircle(X3)
| X1 != X4
| ~ rpoint(X4)
| ~ ron(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_153,plain,
( rinside(X1,X2)
| ~ rcircle(X2)
| ~ rinside(X3,X2)
| ~ ron(X4,X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rR(X1,X3,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_132])])])]) ).
cnf(c_0_154,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))))']) ).
fof(c_0_155,plain,
! [X1079,X1080] :
( ~ rcenter(X1079,X1080)
| rinside(X1079,X1080) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))'])]) ).
cnf(c_0_156,plain,
( rcenter(X1,esk13_2(X1,X2))
| X1 = X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
fof(c_0_157,plain,
! [X943,X944,X945,X946,X947,X948] :
( ( vf(X945,X943) != vf(X945,X947)
| ron(X943,X946)
| ~ ron(X947,X946)
| X947 != X948
| ~ rpoint(X948)
| ~ rcenter(X945,X946)
| X943 != X944
| ~ rpoint(X944) )
& ( ~ ron(X943,X946)
| vf(X945,X943) = vf(X945,X947)
| ~ ron(X947,X946)
| X947 != X948
| ~ rpoint(X948)
| ~ rcenter(X945,X946)
| X943 != X944
| ~ rpoint(X944) ) ),
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_158,plain,
! [X1491,X1492,X1493,X1494,X1495,X1496,X1497,X1498,X1499,X1500] :
( ( ~ rR(X1493,X1491,X1492)
| vplus(vg(X1491,X1493,X1494),vg(X1494,X1493,X1492)) = vg(X1491,X1494,X1492)
| ron(X1494,X1495)
| X1495 != X1496
| ~ rline(X1496)
| X1493 = X1494
| X1492 = X1494
| X1492 = X1493
| X1491 = X1494
| X1491 = X1493
| X1491 = X1492
| X1494 != X1497
| ~ rpoint(X1497)
| X1493 != X1498
| ~ rpoint(X1498)
| X1492 != X1499
| ~ rpoint(X1499)
| X1491 != X1500
| ~ rpoint(X1500) )
& ( vplus(vg(X1491,X1493,X1494),vg(X1494,X1493,X1492)) != vg(X1491,X1494,X1492)
| rR(X1493,X1491,X1492)
| ron(X1494,X1495)
| X1495 != X1496
| ~ rline(X1496)
| X1493 = X1494
| X1492 = X1494
| X1492 = X1493
| X1491 = X1494
| X1491 = X1493
| X1491 = X1492
| X1494 != X1497
| ~ rpoint(X1497)
| X1493 != X1498
| ~ rpoint(X1498)
| X1492 != X1499
| ~ rpoint(X1499)
| X1491 != X1500
| ~ rpoint(X1500) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_134])])])]) ).
cnf(c_0_159,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_135]) ).
cnf(c_0_160,plain,
( vg(X1,X2,X3) = v0
| X2 = X1
| ~ ron(X3,esk8_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(spm,[status(thm)],[c_0_136,c_0_114]) ).
cnf(c_0_161,plain,
esk8_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_137,c_0_112]),c_0_73]),c_0_62])]),c_0_74]) ).
cnf(c_0_162,plain,
( vg(X1,X2,X3) = v0
| X2 = X4
| X1 = X2
| ~ ron(X1,esk8_2(X2,X4))
| ~ ron(X3,esk8_2(X2,X4))
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_114]),c_0_91]) ).
cnf(c_0_163,plain,
( esk8_2(X1,vd1289) = vd1297
| X1 = vd1289
| ~ ron(vd1287,esk8_2(X1,vd1289))
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_112]),c_0_95])]) ).
cnf(c_0_164,plain,
( ~ rreal(vplus(X1,v0))
| ~ rreal(X1)
| ~ rless(vplus(X1,v0),X1) ),
inference(spm,[status(thm)],[c_0_119,c_0_139]) ).
cnf(c_0_165,plain,
( X1 = v0
| rless(v0,X1)
| rless(X1,v0)
| ~ rreal(X1) ),
inference(spm,[status(thm)],[c_0_140,c_0_102]) ).
cnf(c_0_166,plain,
( rreal(vplus(X1,X2))
| ~ rreal(X2)
| ~ rreal(X1) ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_167,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_143,c_0_120]) ).
cnf(c_0_168,plain,
( vplus(v0,X1) = X1
| ~ rreal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_144]),c_0_102])]) ).
cnf(c_0_169,plain,
( ron(vd1306,X1)
| ~ rline(X1)
| ~ ron(vd1287,X1)
| ~ ron(vd1289,X1) ),
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_145,c_0_146]),c_0_77]),c_0_95]),c_0_73])]),c_0_125]),c_0_96]) ).
cnf(c_0_170,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_147]) ).
cnf(c_0_171,plain,
( rR(X1,X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rR(X4,X2,X3)
| ~ rR(X1,X2,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_148])])])]) ).
cnf(c_0_172,plain,
rR(vd1306,vd1287,vd1302),
inference(split_conjunct,[status(thm)],['holds(conjunct1(352), 1307, 0)']) ).
cnf(c_0_173,plain,
( vplus(vf(X1,X2),vf(X3,X1)) = vf(X3,X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rR(X1,X3,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_149]),c_0_150]),c_0_150]) ).
cnf(c_0_174,plain,
vf(vd1287,vd1299) = vf(vd1287,vd1306),
inference(split_conjunct,[status(thm)],['holds(conjunct2(352), 1308, 0)']) ).
cnf(c_0_175,plain,
( vf(X3,X1) = vf(X1,X3)
| X1 != X2
| ~ rpoint(X2)
| X3 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_176,plain,
( ~ rcircle(X1)
| ~ rinside(X2,X1)
| ~ ron(X2,X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_152])]) ).
cnf(c_0_177,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_153,c_0_154]),c_0_77]),c_0_62]),c_0_95])]) ).
cnf(c_0_178,plain,
( rinside(X1,X2)
| ~ rcenter(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
cnf(c_0_179,plain,
( X1 = X2
| rcenter(X1,esk13_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_156])]) ).
cnf(c_0_180,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_157]) ).
cnf(c_0_181,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_158]) ).
cnf(c_0_182,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_159])])]) ).
cnf(c_0_183,plain,
( vg(vd1302,vd1306,X1) = v0
| ~ ron(X1,vd1297)
| ~ rpoint(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_62]),c_0_73])]),c_0_74]) ).
cnf(c_0_184,plain,
( vg(X1,X2,X3) = v0
| X2 = X1
| ~ ron(X3,esk8_2(X2,X1))
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(spm,[status(thm)],[c_0_162,c_0_112]) ).
cnf(c_0_185,plain,
esk8_2(vd1287,vd1289) = vd1297,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_114]),c_0_77]),c_0_95])]),c_0_96]) ).
cnf(c_0_186,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_164,c_0_144]),c_0_102])]) ).
cnf(c_0_187,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_165,c_0_166]) ).
cnf(c_0_188,plain,
( ~ rreal(vplus(v0,v0))
| ~ rless(v0,vplus(v0,v0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_102])]) ).
cnf(c_0_189,plain,
( X1 = X2
| ron(vd1306,esk8_2(X1,X2))
| ~ ron(vd1287,esk8_2(X1,X2))
| ~ ron(vd1289,esk8_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_169,c_0_91]) ).
cnf(c_0_190,plain,
( X1 != X2
| ~ rR(X2,X1,X3)
| X3 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[c_0_147]) ).
cnf(c_0_191,plain,
( rR(X1,X2,X3)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rR(X1,X3,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_170])])]) ).
cnf(c_0_192,plain,
( rR(X1,vd1287,vd1302)
| ~ rpoint(X1)
| ~ rR(X1,vd1287,vd1306) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_77]),c_0_73]),c_0_62])]) ).
cnf(c_0_193,plain,
( vplus(vf(vd1287,vd1299),vf(X1,vd1287)) = vf(X1,vd1306)
| ~ rpoint(X1)
| ~ rR(vd1287,X1,vd1306) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_77]),c_0_73])]) ).
cnf(c_0_194,plain,
( vf(X1,X2) = vf(X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_175])]) ).
cnf(c_0_195,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_196,plain,
vd1288 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_57]) ).
fof(c_0_197,negated_conjecture,
vf(vd1299,vd1289) != vf(vd1306,vd1288),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(conjunct1(359), 1318, 0)'])]) ).
fof(c_0_198,plain,
! [X865,X866,X867,X868,X869,X870,X871,X872] :
( X868 != X869
| ~ ron(X867,X868)
| ~ ron(X865,X868)
| ~ rR(X866,X865,X867)
| ~ rline(X869)
| X867 != X870
| ~ rpoint(X870)
| X866 != X871
| ~ rpoint(X871)
| X865 != X872
| ~ rpoint(X872)
| ron(X866,X868) ),
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_199,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_176,c_0_177]),c_0_95])]) ).
cnf(c_0_200,plain,
( X1 = X2
| rinside(X1,esk13_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_201,plain,
( rcircle(esk13_2(X1,X2))
| X1 = X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_202,plain,
( ron(X1,X2)
| vf(X3,X1) != vf(X3,X4)
| ~ rcenter(X3,X2)
| ~ ron(X4,X2)
| ~ rpoint(X1)
| ~ rpoint(X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_180])]) ).
cnf(c_0_203,plain,
( ron(X1,esk13_2(X2,X1))
| X2 = X1
| X1 != X3
| ~ rpoint(X3)
| X2 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_204,plain,
( X1 = esk8_2(X2,X3)
| X3 = X2
| X4 = X3
| ~ rline(X1)
| ~ ron(X4,esk8_2(X2,X3))
| ~ ron(X3,X1)
| ~ ron(X4,X1)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_112]),c_0_91]) ).
cnf(c_0_205,plain,
( X1 = X2
| X3 = X2
| X3 = X1
| X4 = X2
| X4 = X1
| X4 = X3
| ron(X1,X5)
| rR(X3,X4,X2)
| vplus(vg(X4,X3,X1),vg(X1,X3,X2)) != vg(X4,X1,X2)
| ~ rline(X5)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_181])])])])]) ).
cnf(c_0_206,plain,
( vg(X1,vd1302,vd1306) = v0
| ~ ron(X1,vd1297)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_62]),c_0_73])]) ).
cnf(c_0_207,plain,
( vg(vd1289,vd1287,X1) = v0
| ~ ron(X1,vd1297)
| ~ rpoint(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_95]),c_0_77])]),c_0_96]) ).
cnf(c_0_208,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_186,c_0_187]),c_0_102])]),c_0_188]) ).
cnf(c_0_209,plain,
( vg(X1,X2,vd1306) = v0
| X2 = X1
| ~ ron(vd1287,esk8_2(X1,X2))
| ~ ron(vd1289,esk8_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_189]),c_0_73])]) ).
cnf(c_0_210,plain,
( ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rR(X1,X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_190])])])]) ).
cnf(c_0_211,plain,
( rR(X1,vd1302,vd1287)
| ~ rpoint(X1)
| ~ rR(X1,vd1287,vd1306) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_77]),c_0_62])]) ).
fof(c_0_212,plain,
! [X462,X463,X464,X465] :
( ( rR(X463,X462,X465)
& rR(X463,X462,X464)
& ? [X466] :
( X465 = X466
& rpoint(X466) )
& ? [X467] :
( X464 = X467
& rpoint(X467) )
& ? [X468] :
( X463 = X468
& rpoint(X468) )
& ? [X469] :
( X462 = X469
& rpoint(X469) ) )
=> ~ rR(X463,X464,X465) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(93), 0), imp(cond(axiom(93), 0)))']) ).
fof(c_0_213,plain,
! [X937,X938,X939,X940,X941,X942] :
( ( ~ rless(vf(X939,X937),vf(X939,X938))
| rinside(X937,X940)
| ~ ron(X938,X940)
| ~ rcenter(X939,X940)
| X938 != X941
| ~ rpoint(X941)
| X937 != X942
| ~ rpoint(X942) )
& ( ~ rinside(X937,X940)
| rless(vf(X939,X937),vf(X939,X938))
| ~ ron(X938,X940)
| ~ rcenter(X939,X940)
| X938 != X941
| ~ rpoint(X941)
| X937 != X942
| ~ rpoint(X942) ) ),
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)))'])])])]) ).
cnf(c_0_214,plain,
( vplus(vf(vd1287,vd1299),vf(vd1287,X1)) = vf(X1,vd1306)
| ~ rpoint(X1)
| ~ rR(vd1287,X1,vd1306) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_77])]) ).
cnf(c_0_215,plain,
vf(vd1287,vd1288) = vf(vd1287,vd1289),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_216,plain,
rpoint(vd1288),
inference(rw,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_217,plain,
rpoint(vd1300),
inference(split_conjunct,[status(thm)],['pred(348, 1)']) ).
cnf(c_0_218,plain,
vd1299 = vd1300,
inference(split_conjunct,[status(thm)],['pred(348, 4)']) ).
cnf(c_0_219,negated_conjecture,
vf(vd1299,vd1289) != vf(vd1306,vd1288),
inference(split_conjunct,[status(thm)],[c_0_197]) ).
cnf(c_0_220,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_198]) ).
cnf(c_0_221,plain,
( vd1287 = X1
| ~ rcircle(esk13_2(vd1287,X1))
| ~ ron(vd1289,esk13_2(vd1287,X1))
| ~ ron(vd1302,esk13_2(vd1287,X1))
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_77])]) ).
cnf(c_0_222,plain,
( X1 = X2
| rcircle(esk13_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_201])]) ).
cnf(c_0_223,plain,
( X1 = X2
| ron(X3,esk13_2(X1,X2))
| vf(X1,X3) != vf(X1,X4)
| ~ ron(X4,esk13_2(X1,X2))
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_202,c_0_179]) ).
cnf(c_0_224,plain,
( X1 = X2
| ron(X1,esk13_2(X2,X1))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_203])]) ).
cnf(c_0_225,plain,
( X1 = esk8_2(X2,X3)
| X3 = X2
| ~ rline(X1)
| ~ ron(X3,X1)
| ~ ron(X2,X1)
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_204,c_0_114]) ).
cnf(c_0_226,plain,
ron(vd1287,vd1295),
inference(split_conjunct,[status(thm)],['pred(s1(plural(346)), 0)']) ).
cnf(c_0_227,plain,
rline(vd1295),
inference(split_conjunct,[status(thm)],['pred(346, 0)']) ).
cnf(c_0_228,plain,
( X1 = vd1306
| vd1302 = X1
| X2 = vd1306
| X2 = vd1302
| X2 = X1
| ron(X1,X3)
| rR(vd1302,X2,vd1306)
| vplus(vg(X2,vd1302,X1),v0) != vg(X2,X1,vd1306)
| ~ rline(X3)
| ~ ron(X1,vd1297)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_73]),c_0_62])]),c_0_74]) ).
cnf(c_0_229,plain,
( vg(vd1287,X1,vd1289) = v0
| ~ ron(X1,vd1297)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_207]),c_0_77]),c_0_95])]) ).
cnf(c_0_230,plain,
vplus(v0,v0) = v0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_166]),c_0_102])]) ).
cnf(c_0_231,plain,
vg(vd1287,vd1289,vd1306) = v0,
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_209,c_0_185]),c_0_76]),c_0_94]),c_0_77]),c_0_95])]),c_0_96]) ).
cnf(c_0_232,plain,
~ rR(vd1302,vd1287,vd1306),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_62]),c_0_77])]) ).
fof(c_0_233,plain,
! [X1278,X1279,X1280,X1281,X1282,X1283,X1284,X1285] :
( ~ rR(X1279,X1278,X1281)
| ~ rR(X1279,X1278,X1280)
| X1281 != X1282
| ~ rpoint(X1282)
| X1280 != X1283
| ~ rpoint(X1283)
| X1279 != X1284
| ~ rpoint(X1284)
| X1278 != X1285
| ~ rpoint(X1285)
| ~ rR(X1279,X1280,X1281) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_212])])]) ).
cnf(c_0_234,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_213]) ).
fof(c_0_235,plain,
! [X1007,X1008,X1009,X1010,X1011,X1012] :
( vplus(X1007,X1011) != vplus(X1009,X1011)
| X1011 != X1012
| ~ rreal(X1012)
| X1009 != X1010
| ~ rreal(X1010)
| X1007 != X1008
| ~ rreal(X1008)
| X1007 = X1009 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(156, 0), 0)'])]) ).
cnf(c_0_236,plain,
( vplus(vf(X1,X2),vf(X1,X3)) = vf(X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rR(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_149,c_0_194]) ).
cnf(c_0_237,plain,
( vplus(vf(vd1287,vd1299),vf(vd1287,vd1289)) = vf(vd1288,vd1306)
| ~ rR(vd1287,vd1288,vd1306) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_216])]) ).
cnf(c_0_238,plain,
rpoint(vd1299),
inference(rw,[status(thm)],[c_0_217,c_0_218]) ).
cnf(c_0_239,negated_conjecture,
vf(vd1299,vd1289) != vf(vd1288,vd1306),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_194]),c_0_73]),c_0_216])]) ).
cnf(c_0_240,plain,
( ron(X1,X2)
| ~ rline(X2)
| ~ ron(X3,X2)
| ~ ron(X4,X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ rR(X1,X3,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_220])])])]) ).
cnf(c_0_241,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_242,plain,
( vd1287 = X1
| ~ ron(vd1289,esk13_2(vd1287,X1))
| ~ ron(vd1302,esk13_2(vd1287,X1))
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_77])]) ).
cnf(c_0_243,plain,
( X1 = X2
| ron(X3,esk13_2(X1,X2))
| vf(X1,X3) != vf(X1,X2)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(spm,[status(thm)],[c_0_223,c_0_224]) ).
cnf(c_0_244,plain,
( esk8_2(X1,vd1287) = vd1295
| vd1287 = X1
| ~ ron(X1,vd1295)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_227]),c_0_77])]) ).
cnf(c_0_245,plain,
( esk8_2(X1,vd1287) = vd1297
| vd1287 = X1
| ~ ron(X1,vd1297)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_76]),c_0_61]),c_0_77])]) ).
cnf(c_0_246,plain,
( vd1302 = vd1287
| vd1302 = vd1289
| vd1306 = vd1289
| ron(vd1289,X1)
| ~ rline(X1) ),
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_230]),c_0_231]),c_0_94]),c_0_77]),c_0_95]),c_0_60]),c_0_62])]),c_0_125]),c_0_96]),c_0_232]) ).
cnf(c_0_247,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_233]) ).
cnf(c_0_248,plain,
( rless(vf(X1,X2),vf(X1,X3))
| ~ rinside(X2,X4)
| ~ rcenter(X1,X4)
| ~ ron(X3,X4)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_234])]) ).
cnf(c_0_249,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_235]) ).
cnf(c_0_250,plain,
( ~ rR(vd1287,vd1299,vd1289)
| ~ rR(vd1287,vd1288,vd1306) ),
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_236,c_0_237]),c_0_238]),c_0_77]),c_0_95])]),c_0_239]) ).
cnf(c_0_251,plain,
( vangle(X1,X2,vd1289) = v0
| X2 = vd1289
| X2 = X1
| rR(X2,X1,vd1289)
| ~ ron(X1,vd1297)
| ~ ron(X2,vd1297)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_94]),c_0_61]),c_0_95])]) ).
cnf(c_0_252,plain,
vangle(vd1288,vd1287,vd1289) = vangle(vd1299,vd1287,vd1289),
inference(split_conjunct,[status(thm)],['holds(358, 1317, 0)']) ).
cnf(c_0_253,plain,
vd1299 != vd1287,
inference(split_conjunct,[status(thm)],['holds(conjunct1(conjunct2(conjunct2(355))), 1311, 0)']) ).
cnf(c_0_254,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_240,c_0_241]),c_0_77]),c_0_216]),c_0_238])]) ).
cnf(c_0_255,plain,
( vd1287 = X1
| vf(vd1287,vd1302) != vf(vd1287,X1)
| ~ ron(vd1289,esk13_2(vd1287,X1))
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_62]),c_0_77])]) ).
cnf(c_0_256,plain,
( vd1295 = vd1297
| vd1287 = X1
| ~ ron(X1,vd1295)
| ~ ron(X1,vd1297)
| ~ rpoint(X1) ),
inference(spm,[status(thm)],[c_0_244,c_0_245]) ).
cnf(c_0_257,plain,
( vd1306 = vd1289
| vd1302 = vd1289
| vd1302 = vd1287
| ron(vd1289,vd1295) ),
inference(spm,[status(thm)],[c_0_246,c_0_227]) ).
cnf(c_0_258,plain,
( ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rR(X2,X3,X4)
| ~ rR(X2,X1,X3)
| ~ rR(X2,X1,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_247])])])]) ).
cnf(c_0_259,plain,
( rless(vplus(X1,X2),vplus(X2,X3))
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X2)
| ~ rless(X1,X3) ),
inference(spm,[status(thm)],[c_0_100,c_0_144]) ).
cnf(c_0_260,plain,
( vplus(vf(vd1287,vd1289),vf(vd1288,X1)) = vf(vd1287,X1)
| ~ rpoint(X1)
| ~ rR(vd1288,vd1287,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_215]),c_0_77]),c_0_216])]) ).
cnf(c_0_261,plain,
rreal(vf(vd1287,vd1289)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_215]),c_0_77]),c_0_216])]) ).
cnf(c_0_262,plain,
( X1 = X2
| rless(vf(X3,X1),vf(X3,X4))
| ~ rcenter(X3,esk13_2(X1,X2))
| ~ ron(X4,esk13_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_248,c_0_200]) ).
fof(c_0_263,plain,
! [X955,X956,X957,X958] :
( ( vf(X955,X956) != v0
| X955 = X956
| X956 != X957
| ~ rpoint(X957)
| X955 != X958
| ~ rpoint(X958) )
& ( X955 != X956
| vf(X955,X956) = v0
| X956 != X957
| ~ rpoint(X957)
| X955 != X958
| ~ rpoint(X958) ) ),
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_264,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_249])])]) ).
fof(c_0_265,plain,
! [X975,X976,X977,X978,X979,X980,X981,X982] :
( X978 != X979
| ~ ron(X977,X978)
| ~ ron(X976,X978)
| ~ ron(X975,X978)
| ~ rline(X979)
| X976 = X977
| X975 = X977
| X975 = X976
| X977 != X980
| ~ rpoint(X980)
| X976 != X981
| ~ rpoint(X981)
| X975 != X982
| ~ rpoint(X982)
| rR(X976,X975,X977)
| rR(X975,X976,X977)
| rR(X977,X975,X976) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))'])])]) ).
cnf(c_0_266,plain,
( vangle(vd1288,vd1287,vd1289) = v0
| ~ ron(vd1299,vd1297)
| ~ rR(vd1287,vd1288,vd1306) ),
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(spm,[status(thm)],[c_0_250,c_0_251]),c_0_252]),c_0_76]),c_0_77]),c_0_238])]),c_0_96]),c_0_253]) ).
cnf(c_0_267,plain,
vangle(vd1288,vd1287,vd1289) = vangle(vd1288,vd1287,vd1306),
inference(split_conjunct,[status(thm)],['holds(357, 1316, 0)']) ).
cnf(c_0_268,plain,
vd1287 != vd1288,
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_269,plain,
( ron(vd1288,vd1297)
| ~ ron(vd1299,vd1297) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_61]),c_0_76])]) ).
cnf(c_0_270,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_255,c_0_224]),c_0_95]),c_0_77])]),c_0_96]) ).
cnf(c_0_271,plain,
( vd1302 = vd1287
| vd1302 = vd1289
| vd1306 = vd1289
| vd1295 = vd1297 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_94]),c_0_95])]),c_0_96]) ).
cnf(c_0_272,plain,
( ~ rpoint(X1)
| ~ rR(vd1289,X1,vd1287)
| ~ rR(vd1289,X1,vd1302) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_154]),c_0_95]),c_0_77]),c_0_62])]) ).
cnf(c_0_273,plain,
( rless(vplus(X1,vf(vd1287,vd1289)),vf(vd1287,X2))
| ~ rreal(vf(vd1288,X2))
| ~ rreal(X1)
| ~ rless(X1,vf(vd1288,X2))
| ~ rpoint(X2)
| ~ rR(vd1288,vd1287,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_261])]) ).
cnf(c_0_274,plain,
( X1 = X2
| rless(vf(X1,X1),vf(X1,X3))
| ~ ron(X3,esk13_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_262,c_0_179]) ).
cnf(c_0_275,plain,
( vf(X1,X2) = v0
| X1 != X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_263]) ).
cnf(c_0_276,plain,
( vf(X1,X2) = X3
| vf(X1,X4) != vplus(X3,vf(X2,X4))
| ~ rreal(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rR(X2,X1,X4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_149]),c_0_150]),c_0_150]) ).
cnf(c_0_277,plain,
( X4 = X3
| X5 = X3
| X5 = X4
| rR(X4,X5,X3)
| rR(X5,X4,X3)
| rR(X3,X5,X4)
| X1 != X2
| ~ ron(X3,X1)
| ~ ron(X4,X1)
| ~ ron(X5,X1)
| ~ rline(X2)
| X3 != X6
| ~ rpoint(X6)
| X4 != X7
| ~ rpoint(X7)
| X5 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_265]) ).
cnf(c_0_278,plain,
( vangle(vd1288,vd1287,vd1289) = v0
| ~ ron(vd1299,vd1297) ),
inference(csr,[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(spm,[status(thm)],[c_0_266,c_0_124]),c_0_267]),c_0_76]),c_0_77]),c_0_216])]),c_0_125]),c_0_268]),c_0_269]) ).
cnf(c_0_279,plain,
( vd1295 = vd1297
| vd1306 = vd1289
| vd1302 = vd1287 ),
inference(spm,[status(thm)],[c_0_270,c_0_271]) ).
cnf(c_0_280,plain,
~ rR(vd1289,vd1287,vd1287),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_154]),c_0_77])]) ).
cnf(c_0_281,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_186,c_0_273]),c_0_261]),c_0_102]),c_0_95])]) ).
cnf(c_0_282,plain,
( X1 = X2
| rless(vf(X1,X1),vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_274,c_0_224]) ).
cnf(c_0_283,plain,
( vf(X1,X1) = v0
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_275])])]) ).
cnf(c_0_284,plain,
( vf(X1,X2) = vf(X2,X3)
| vf(X1,X4) != vf(X3,X4)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rR(X2,X1,X4)
| ~ rR(X2,X3,X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_236]),c_0_150]) ).
cnf(c_0_285,plain,
( X1 = X2
| X3 = X2
| X3 = X1
| rR(X2,X1,X3)
| rR(X1,X2,X3)
| rR(X3,X2,X1)
| ~ rline(X4)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ ron(X3,X4)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_277])])])]) ).
cnf(c_0_286,plain,
( ron(vd1289,X1)
| ~ rline(X1)
| ~ ron(vd1299,vd1297)
| ~ ron(vd1287,X1)
| ~ ron(vd1288,X1) ),
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_145,c_0_278]),c_0_77]),c_0_216]),c_0_95])]),c_0_96]),c_0_268]) ).
cnf(c_0_287,plain,
ron(vd1288,vd1295),
inference(split_conjunct,[status(thm)],['pred(s2(plural(346)), 0)']) ).
cnf(c_0_288,plain,
ron(vd1299,vd1295),
inference(split_conjunct,[status(thm)],['pred(conjunct1(349), 0)']) ).
cnf(c_0_289,plain,
( vd1306 = vd1289
| vd1295 = vd1297 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_279]),c_0_280]) ).
cnf(c_0_290,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_281,c_0_168]),c_0_261])]) ).
cnf(c_0_291,plain,
( X1 = X2
| rless(v0,vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_282,c_0_283]) ).
cnf(c_0_292,plain,
vd1288 != vd1289,
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_293,plain,
( vf(vd1289,X1) = vf(vd1287,vd1289)
| vf(vd1287,vd1302) != vf(X1,vd1302)
| ~ rpoint(X1)
| ~ rR(vd1289,X1,vd1302) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_154]),c_0_77]),c_0_95]),c_0_62])]) ).
cnf(c_0_294,plain,
( X1 = vd1287
| X2 = vd1287
| X2 = X1
| rR(vd1287,X1,X2)
| rR(X1,vd1287,X2)
| rR(X2,vd1287,X1)
| ~ ron(X1,vd1295)
| ~ ron(X2,vd1295)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_226]),c_0_227]),c_0_77])]) ).
cnf(c_0_295,plain,
( ron(vd1289,vd1295)
| ~ ron(vd1299,vd1297) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_227]),c_0_226]),c_0_287])]) ).
cnf(c_0_296,plain,
( vd1306 = vd1289
| ron(vd1299,vd1297) ),
inference(spm,[status(thm)],[c_0_288,c_0_289]) ).
cnf(c_0_297,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_290,c_0_291]),c_0_216]),c_0_95])]),c_0_292]) ).
cnf(c_0_298,plain,
( v0 = X1
| vplus(X1,X2) != X2
| ~ rreal(X1)
| ~ rreal(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_168]),c_0_102])]) ).
cnf(c_0_299,plain,
vf(vd1289,vd1287) = vf(vd1287,vd1289),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_154]),c_0_77])]) ).
cnf(c_0_300,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_147]) ).
cnf(c_0_301,plain,
( X1 = vd1288
| X1 = vd1287
| rR(X1,vd1287,vd1288)
| rR(vd1288,vd1287,X1)
| rR(vd1287,vd1288,X1)
| ~ ron(X1,vd1295)
| ~ rpoint(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_287]),c_0_216])]),c_0_268]) ).
cnf(c_0_302,plain,
( vd1306 = vd1289
| ron(vd1289,vd1295) ),
inference(spm,[status(thm)],[c_0_295,c_0_296]) ).
cnf(c_0_303,plain,
~ rR(vd1288,vd1287,vd1289),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_150]),c_0_216]),c_0_95])]) ).
cnf(c_0_304,plain,
( v0 = X1
| vplus(X2,X1) != X2
| ~ rreal(X1)
| ~ rreal(X2) ),
inference(spm,[status(thm)],[c_0_298,c_0_144]) ).
cnf(c_0_305,plain,
( vplus(vf(X1,X2),vf(X3,X2)) = vf(X1,X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rR(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_149,c_0_194]) ).
cnf(c_0_306,plain,
( X1 = X3
| X1 = X2
| ~ rR(X1,X2,X3)
| vangle(X2,X1,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_69]) ).
cnf(c_0_307,plain,
( vplus(vf(X1,X2),vf(X1,X3)) = vf(X3,X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rR(X1,X3,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_236]),c_0_150]),c_0_150]) ).
cnf(c_0_308,plain,
( vplus(vf(vd1287,vd1289),vf(vd1287,X1)) = vf(vd1289,X1)
| ~ rpoint(X1)
| ~ rR(vd1287,vd1289,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_299]),c_0_95]),c_0_77])]) ).
cnf(c_0_309,plain,
( ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rR(X2,X1,X3)
| ~ rR(X1,X2,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_300])])]) ).
cnf(c_0_310,plain,
( vd1306 = vd1289
| rR(vd1287,vd1288,vd1289)
| rR(vd1289,vd1287,vd1288) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_302]),c_0_95])]),c_0_292]),c_0_96]),c_0_303]) ).
cnf(c_0_311,plain,
( vf(X1,X2) = v0
| vf(X3,X1) != vf(X3,X2)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rR(X2,X3,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_305]),c_0_150]),c_0_150]) ).
cnf(c_0_312,plain,
( X1 = X2
| X1 = X3
| vangle(X3,X1,X2) != v0
| ~ rline(X4)
| ~ ron(X3,X4)
| ~ ron(X1,X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rR(X1,X3,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_306])])])]) ).
cnf(c_0_313,plain,
( vf(vd1289,X1) = vf(X1,vd1289)
| ~ rpoint(X1)
| ~ rR(vd1287,X1,vd1289)
| ~ rR(vd1287,vd1289,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_308]),c_0_77]),c_0_95])]) ).
cnf(c_0_314,plain,
( vd1306 = vd1289
| rR(vd1287,vd1288,vd1289)
| ~ rR(vd1287,vd1289,vd1288) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_310]),c_0_77]),c_0_95]),c_0_216])]) ).
cnf(c_0_315,plain,
( vf(vd1288,vd1289) = v0
| vd1306 = vd1289
| rR(vd1287,vd1288,vd1289) ),
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_311,c_0_310]),c_0_215]),c_0_77]),c_0_95]),c_0_216])]) ).
cnf(c_0_316,plain,
( vd1306 = vd1289
| rR(vd1287,vd1288,vd1289)
| vangle(vd1287,vd1289,vd1288) != v0
| ~ rline(X1)
| ~ ron(vd1287,X1)
| ~ ron(vd1289,X1) ),
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_312,c_0_310]),c_0_95]),c_0_77]),c_0_216])]),c_0_96]),c_0_292]) ).
cnf(c_0_317,plain,
( vplus(vf(vd1289,X1),vf(vd1287,vd1289)) = vf(vd1287,X1)
| ~ rpoint(X1)
| ~ rR(vd1289,vd1287,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_299]),c_0_77]),c_0_95])]) ).
cnf(c_0_318,plain,
( vf(vd1288,vd1289) = vf(vd1289,vd1288)
| vd1306 = vd1289
| ~ rR(vd1287,vd1289,vd1288) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_314]),c_0_216])]) ).
cnf(c_0_319,plain,
( vf(vd1288,vd1289) = v0
| vd1306 = vd1289
| rR(vd1287,vd1289,vd1288) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_315]),c_0_216]),c_0_77]),c_0_95])]) ).
cnf(c_0_320,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_153,c_0_241]),c_0_77]),c_0_238]),c_0_216])]) ).
cnf(c_0_321,plain,
( vd1306 = vd1289
| rR(vd1287,vd1288,vd1289)
| vangle(vd1287,vd1289,vd1288) != v0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_61]),c_0_76]),c_0_94])]) ).
cnf(c_0_322,plain,
( vf(vd1289,X1) = v0
| vf(vd1287,X1) != vf(vd1287,vd1289)
| ~ rreal(vf(vd1289,X1))
| ~ rpoint(X1)
| ~ rR(vd1289,vd1287,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_317]),c_0_261])]) ).
cnf(c_0_323,plain,
( X1 = X2
| vf(X1,X2) != v0
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_263]) ).
cnf(c_0_324,plain,
( vf(vd1288,vd1289) = vf(vd1289,vd1288)
| vf(vd1288,vd1289) = v0
| vd1306 = vd1289 ),
inference(spm,[status(thm)],[c_0_318,c_0_319]) ).
cnf(c_0_325,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_176,c_0_320]),c_0_216])]) ).
cnf(c_0_326,plain,
( vd1306 = vd1289
| vangle(vd1288,vd1287,vd1289) != v0
| vangle(vd1287,vd1289,vd1288) != v0
| ~ rline(X1)
| ~ ron(vd1288,X1)
| ~ ron(vd1287,X1) ),
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_312,c_0_321]),c_0_77]),c_0_216]),c_0_95])]),c_0_268]),c_0_96]) ).
cnf(c_0_327,plain,
( vf(vd1289,X1) = v0
| vf(vd1287,X1) != vf(vd1287,vd1289)
| ~ rpoint(X1)
| ~ rR(vd1289,vd1287,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_150]),c_0_95])]) ).
cnf(c_0_328,plain,
( vangle(X1,X2,vd1288) = v0
| X2 = vd1288
| X2 = X1
| rR(X2,X1,vd1288)
| ~ ron(X1,vd1295)
| ~ ron(X2,vd1295)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_287]),c_0_227]),c_0_216])]) ).
cnf(c_0_329,plain,
( X1 = X2
| vf(X1,X2) != v0
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_323])]) ).
cnf(c_0_330,plain,
( vf(vd1288,vd1289) = v0
| vd1306 = vd1289
| vf(vd1289,vd1288) != v0 ),
inference(ef,[status(thm)],[c_0_324]) ).
cnf(c_0_331,plain,
( vd1287 = X1
| ~ rcircle(esk13_2(vd1287,X1))
| ~ ron(vd1288,esk13_2(vd1287,X1))
| ~ ron(vd1299,esk13_2(vd1287,X1))
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_200]),c_0_77])]) ).
cnf(c_0_332,plain,
( vd1306 = vd1289
| vangle(vd1287,vd1289,vd1288) != v0
| ~ rline(X1)
| ~ ron(vd1288,X1)
| ~ ron(vd1287,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_278]),c_0_296]) ).
cnf(c_0_333,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_327,c_0_328]),c_0_215]),c_0_216]),c_0_226]),c_0_95]),c_0_77])]),c_0_292]),c_0_96]) ).
cnf(c_0_334,plain,
( vd1306 = vd1289
| vf(vd1289,vd1288) != v0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_330]),c_0_216]),c_0_95])]),c_0_292]) ).
cnf(c_0_335,plain,
( vd1287 = X1
| ~ ron(vd1288,esk13_2(vd1287,X1))
| ~ ron(vd1299,esk13_2(vd1287,X1))
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_222]),c_0_77])]) ).
cnf(c_0_336,plain,
( vf(vd1306,X1) = vf(vd1287,vd1299)
| vf(vd1287,vd1302) != vf(X1,vd1302)
| ~ rpoint(X1)
| ~ rR(vd1306,X1,vd1302) ),
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_284,c_0_172]),c_0_174]),c_0_77]),c_0_73]),c_0_62])]) ).
cnf(c_0_337,plain,
( vd1306 = vd1289
| ~ rline(X1)
| ~ ron(vd1288,X1)
| ~ ron(vd1287,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_333]),c_0_302]),c_0_334]) ).
cnf(c_0_338,plain,
~ ron(vd1288,esk13_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_335,c_0_224]),c_0_238]),c_0_77])]),c_0_253]) ).
cnf(c_0_339,plain,
vf(vd1306,vd1287) = vf(vd1287,vd1299),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_172]),c_0_77])]) ).
cnf(c_0_340,plain,
vd1306 = vd1289,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_227]),c_0_287]),c_0_226])]) ).
cnf(c_0_341,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_338,c_0_243]),c_0_215]),c_0_216]),c_0_238]),c_0_77])]),c_0_253]) ).
cnf(c_0_342,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_339,c_0_340]),c_0_299]),c_0_341]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO309+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n031.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 2400
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Oct 3 07:30:44 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.48 Running first-order model finding
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.hVFhFKpKch/E---3.1_13282.p
% 634.10/80.68 # Version: 3.1pre001
% 634.10/80.68 # Preprocessing class: FSLSSMSMSSSNFFN.
% 634.10/80.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 634.10/80.68 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 634.10/80.68 # Starting new_bool_3 with 300s (1) cores
% 634.10/80.68 # Starting new_bool_1 with 300s (1) cores
% 634.10/80.68 # Starting sh5l with 300s (1) cores
% 634.10/80.68 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 13360 completed with status 0
% 634.10/80.68 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 634.10/80.68 # Preprocessing class: FSLSSMSMSSSNFFN.
% 634.10/80.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 634.10/80.68 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 634.10/80.68 # No SInE strategy applied
% 634.10/80.68 # Search class: FGHSF-FSLM33-SFFFFFNN
% 634.10/80.68 # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 634.10/80.68 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 634.10/80.68 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 634.10/80.68 # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 634.10/80.68 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 634.10/80.68 # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 634.10/80.68 # H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with pid 13369 completed with status 0
% 634.10/80.68 # Result found by H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y
% 634.10/80.68 # Preprocessing class: FSLSSMSMSSSNFFN.
% 634.10/80.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 634.10/80.68 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 634.10/80.68 # No SInE strategy applied
% 634.10/80.68 # Search class: FGHSF-FSLM33-SFFFFFNN
% 634.10/80.68 # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 634.10/80.68 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 634.10/80.68 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 634.10/80.68 # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 634.10/80.68 # Preprocessing time : 0.017 s
% 634.10/80.68 # Presaturation interreduction done
% 634.10/80.68
% 634.10/80.68 # Proof found!
% 634.10/80.68 # SZS status Theorem
% 634.10/80.68 # SZS output start CNFRefutation
% See solution above
% 634.10/80.68 # Parsed axioms : 148
% 634.10/80.68 # Removed by relevancy pruning/SinE : 0
% 634.10/80.68 # Initial clauses : 315
% 634.10/80.68 # Removed in clause preprocessing : 2
% 634.10/80.68 # Initial clauses in saturation : 313
% 634.10/80.68 # Processed clauses : 134390
% 634.10/80.68 # ...of these trivial : 167
% 634.10/80.68 # ...subsumed : 108022
% 634.10/80.68 # ...remaining for further processing : 26201
% 634.10/80.68 # Other redundant clauses eliminated : 1184
% 634.10/80.68 # Clauses deleted for lack of memory : 0
% 634.10/80.68 # Backward-subsumed : 6317
% 634.10/80.68 # Backward-rewritten : 7186
% 634.10/80.68 # Generated clauses : 1495913
% 634.10/80.68 # ...of the previous two non-redundant : 1449194
% 634.10/80.68 # ...aggressively subsumed : 0
% 634.10/80.68 # Contextual simplify-reflections : 5170
% 634.10/80.68 # Paramodulations : 1495531
% 634.10/80.68 # Factorizations : 10
% 634.10/80.68 # NegExts : 0
% 634.10/80.68 # Equation resolutions : 1304
% 634.10/80.68 # Total rewrite steps : 1807148
% 634.10/80.68 # Propositional unsat checks : 0
% 634.10/80.68 # Propositional check models : 0
% 634.10/80.68 # Propositional check unsatisfiable : 0
% 634.10/80.68 # Propositional clauses : 0
% 634.10/80.68 # Propositional clauses after purity: 0
% 634.10/80.68 # Propositional unsat core size : 0
% 634.10/80.68 # Propositional preprocessing time : 0.000
% 634.10/80.68 # Propositional encoding time : 0.000
% 634.10/80.68 # Propositional solver time : 0.000
% 634.10/80.68 # Success case prop preproc time : 0.000
% 634.10/80.68 # Success case prop encoding time : 0.000
% 634.10/80.68 # Success case prop solver time : 0.000
% 634.10/80.68 # Current number of processed clauses : 12145
% 634.10/80.68 # Positive orientable unit clauses : 90
% 634.10/80.68 # Positive unorientable unit clauses: 0
% 634.10/80.68 # Negative unit clauses : 52
% 634.10/80.68 # Non-unit-clauses : 12003
% 634.10/80.68 # Current number of unprocessed clauses: 1282081
% 634.10/80.68 # ...number of literals in the above : 18286563
% 634.10/80.68 # Current number of archived formulas : 0
% 634.10/80.68 # Current number of archived clauses : 13804
% 634.10/80.68 # Clause-clause subsumption calls (NU) : 90934427
% 634.10/80.68 # Rec. Clause-clause subsumption calls : 1866305
% 634.10/80.68 # Non-unit clause-clause subsumptions : 75374
% 634.10/80.68 # Unit Clause-clause subsumption calls : 100975
% 634.10/80.68 # Rewrite failures with RHS unbound : 0
% 634.10/80.68 # BW rewrite match attempts : 189
% 634.10/80.68 # BW rewrite match successes : 35
% 634.10/80.68 # Condensation attempts : 0
% 634.10/80.68 # Condensation successes : 0
% 634.10/80.68 # Termbank termtop insertions : 57696638
% 634.10/80.68
% 634.10/80.68 # -------------------------------------------------
% 634.10/80.68 # User time : 77.502 s
% 634.10/80.68 # System time : 1.275 s
% 634.10/80.68 # Total time : 78.778 s
% 634.10/80.68 # Maximum resident set size: 4576 pages
% 634.10/80.68
% 634.10/80.68 # -------------------------------------------------
% 634.10/80.68 # User time : 388.050 s
% 634.10/80.68 # System time : 6.951 s
% 634.10/80.68 # Total time : 395.001 s
% 634.10/80.68 # Maximum resident set size: 2556 pages
% 634.10/80.68 % E---3.1 exiting
%------------------------------------------------------------------------------