%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO297+1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:20:16 PM UTC 2026
% Result : Theorem 45.27s 41.73s
% Output : CNFRefutation 54.47s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 807)
% Comments :
%------------------------------------------------------------------------------
fof('qu(cond(axiom(204), 0), imp(cond(axiom(204), 0)))',axiom,
! [X609,X610,X611,X612,X613,X614,X615,X616,X617,X618,X619,X620,X621,X622,X623,X624,X625,X626] :
( ( X625 = X626
& ! [X627,X628,X629] :
( ( rS(X629,X614,X625)
& ~ rR(X612,X628,X613)
& ron(X628,X625)
& vf(X609,X611) = vf(X627,X629)
& vf(X610,X611) = vf(X628,X629)
& vf(X609,X610) = vf(X627,X628)
& vangle(X627,X629,X628) = vangle(X609,X611,X610)
& vangle(X628,X627,X629) = vangle(X610,X609,X611)
& vangle(X629,X628,X627) = vangle(X611,X610,X609)
& X627 = X612
& rpoint(X629)
& rpoint(X628)
& rpoint(X627) )
=> ( vangle(X619,X620,X621) = vangle(X622,X623,X624)
& vf(X615,X616) = vf(X617,X618) ) )
& ~ ron(X614,X625)
& ron(X613,X625)
& ron(X612,X625)
& rline(X626)
& ? [X630] :
( X624 = X630
& rpoint(X630) )
& ? [X631] :
( X623 = X631
& rpoint(X631) )
& ? [X632] :
( X622 = X632
& rpoint(X632) )
& ? [X633] :
( X621 = X633
& rpoint(X633) )
& ? [X634] :
( X620 = X634
& rpoint(X634) )
& ? [X635] :
( X619 = X635
& rpoint(X635) )
& ? [X636] :
( X618 = X636
& rpoint(X636) )
& ? [X637] :
( X617 = X637
& rpoint(X637) )
& ? [X638] :
( X616 = X638
& rpoint(X638) )
& ? [X639] :
( X615 = X639
& rpoint(X639) )
& ? [X640] :
( X614 = X640
& rpoint(X640) )
& ? [X641] :
( X613 = X641
& rpoint(X641) )
& ? [X642] :
( X612 = X642
& rpoint(X642) )
& X610 != X611
& X609 != X611
& X609 != X610
& ? [X643] :
( X611 = X643
& rpoint(X643) )
& ? [X644] :
( X610 = X644
& rpoint(X644) )
& ? [X645] :
( X609 = X645
& rpoint(X645) ) )
=> ( vangle(X619,X620,X621) = vangle(X622,X623,X624)
& vf(X615,X616) = vf(X617,X618) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(204), 0), imp(cond(axiom(204), 0)))') ).
fof('qu(cond(axiom(71), 0), imp(cond(axiom(71), 0)))',axiom,
! [X406,X407,X408,X409,X410,X411,X412] :
( ( ~ ron(X412,X408)
& ron(X411,X408)
& ron(X410,X408)
& rcenter(X411,X407)
& rcenter(X410,X406)
& rintersect(X406,X407)
& X408 = X409
& rline(X409)
& ? [X413] :
( X407 = X413
& rcircle(X413) )
& ? [X414] :
( X406 = X414
& rcircle(X414) ) )
=> ? [X415] :
( ~ rS(X415,X412,X408)
& ron(X415,X407)
& ron(X415,X406)
& rpoint(X415) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(71), 0), imp(cond(axiom(71), 0)))') ).
fof('qu(cond(axiom(37), 0), imp(cond(axiom(37), 0)))',axiom,
! [X482,X483,X484,X485,X486,X487,X488,X489] :
( ( X484 = X485
& X486 = X487
& X488 = X489
& rS(X488,X484,X482)
& rpoint(X489)
& rS(X486,X484,X482)
& rpoint(X487)
& ~ ron(X484,X482)
& rpoint(X485)
& X482 = X483
& rline(X483) )
=> ? [X490] :
( X490 != X488
& X490 != X486
& X490 != X484
& rS(X490,X484,X482)
& rpoint(X490) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(37), 0), imp(cond(axiom(37), 0)))') ).
fof('qu(cond(axiom(69), 0), imp(cond(axiom(69), 0)))',axiom,
! [X416,X417,X418,X419,X420,X421,X422] :
( ( ~ ron(X422,X418)
& ron(X421,X418)
& ron(X420,X418)
& rcenter(X421,X417)
& rcenter(X420,X416)
& rintersect(X416,X417)
& X418 = X419
& rline(X419)
& ? [X423] :
( X417 = X423
& rcircle(X423) )
& ? [X424] :
( X416 = X424
& rcircle(X424) ) )
=> ? [X425] :
( rS(X425,X422,X418)
& ron(X425,X417)
& ron(X425,X416)
& rpoint(X425) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(69), 0), imp(cond(axiom(69), 0)))') ).
fof('qu(cond(axiom(61), 0), imp(cond(axiom(61), 0)))',axiom,
! [X145,X146,X147,X148,X149,X150,X151,X152] :
( ( ron(X151,X147)
& ~ ron(X151,X145)
& ~ rinside(X151,X145)
& X151 = X152
& rpoint(X152)
& ron(X149,X147)
& rinside(X149,X145)
& X149 = X150
& rpoint(X150)
& X147 = X148
& rline(X148)
& X145 = X146
& rcircle(X146) )
=> ? [X153] :
( rR(X153,X149,X151)
& ron(X153,X145)
& ron(X153,X147)
& rpoint(X153) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(61), 0), imp(cond(axiom(61), 0)))') ).
fof('qu(cond(axiom(35), 0), imp(cond(axiom(35), 0)))',axiom,
! [X491,X492,X493,X494,X495,X496] :
( ( X493 = X494
& X495 = X496
& rS(X495,X493,X491)
& rpoint(X496)
& ~ ron(X493,X491)
& rpoint(X494)
& X491 = X492
& rline(X492) )
=> ? [X497] :
( X497 != X495
& X497 != X493
& rS(X497,X493,X491)
& rpoint(X497) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(35), 0), imp(cond(axiom(35), 0)))') ).
fof('qu(cond(axiom(190), 0), imp(cond(axiom(190), 0)))',axiom,
! [X24,X25,X26,X27,X28,X29] :
( ( X28 != X29
& ~ ron(X27,X29)
& ~ ron(X27,X28)
& X24 != X26
& X24 != X25
& ron(X26,X29)
& ron(X25,X28)
& ron(X24,X29)
& ron(X24,X28)
& ? [X30] :
( X29 = X30
& rline(X30) )
& ? [X31] :
( X28 = X31
& rline(X31) )
& ? [X32] :
( X27 = X32
& rpoint(X32) )
& ? [X33] :
( X26 = X33
& rpoint(X33) )
& ? [X34] :
( X25 = X34
& rpoint(X34) )
& ? [X35] :
( X24 = X35
& rpoint(X35) ) )
=> ( vangle(X25,X24,X26) = vplus(vangle(X25,X24,X27),vangle(X27,X24,X26))
<=> ( rS(X26,X27,X28)
& rS(X25,X27,X29) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(190), 0), imp(cond(axiom(190), 0)))') ).
fof('qu(cond(axiom(202), 0), imp(cond(axiom(202), 0)))',axiom,
! [X676,X677,X678,X679,X680,X681] :
( ( ~ ron(X679,X680)
& X680 = X681
& rline(X681)
& X678 != X679
& X677 != X679
& X677 != X678
& X676 != X679
& X676 != X678
& X676 != X677
& ? [X682] :
( X679 = X682
& rpoint(X682) )
& ? [X683] :
( X678 = X683
& rpoint(X683) )
& ? [X684] :
( X677 = X684
& rpoint(X684) )
& ? [X685] :
( X676 = X685
& rpoint(X685) ) )
=> ( rR(X678,X676,X677)
<=> vplus(vg(X676,X678,X679),vg(X679,X678,X677)) = vg(X676,X679,X677) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(202), 0), imp(cond(axiom(202), 0)))') ).
fof('qu(cond(axiom(113), 0), imp(cond(axiom(113), 0)))',axiom,
! [X292,X293,X294,X295,X296,X297,X298] :
( ( rS(X296,X297,X294)
& rS(X297,X298,X292)
& ron(X298,X294)
& ron(X297,X294)
& ron(X296,X292)
& ron(X295,X294)
& ron(X295,X293)
& ron(X295,X292)
& ? [X299] :
( X298 = X299
& rpoint(X299) )
& ? [X300] :
( X297 = X300
& rpoint(X300) )
& ? [X301] :
( X296 = X301
& rpoint(X301) )
& ? [X302] :
( X295 = X302
& rpoint(X302) )
& ? [X303] :
( X294 = X303
& rline(X303) )
& ? [X304] :
( X293 = X304
& rline(X304) )
& ? [X305] :
( X292 = X305
& rline(X305) ) )
=> ~ rS(X296,X298,X293) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(113), 0), imp(cond(axiom(113), 0)))') ).
fof('qu(cond(axiom(115), 0), imp(cond(axiom(115), 0)))',axiom,
! [X278,X279,X280,X281,X282,X283,X284] :
( ( X282 != X281
& ~ ron(X284,X279)
& ~ rS(X282,X284,X279)
& rS(X283,X284,X278)
& ron(X284,X280)
& ron(X283,X279)
& ron(X282,X278)
& ron(X281,X280)
& ron(X281,X279)
& ron(X281,X278)
& ? [X285] :
( X284 = X285
& rpoint(X285) )
& ? [X286] :
( X283 = X286
& rpoint(X286) )
& ? [X287] :
( X282 = X287
& rpoint(X287) )
& ? [X288] :
( X281 = X288
& rpoint(X288) )
& ? [X289] :
( X280 = X289
& rline(X289) )
& ? [X290] :
( X279 = X290
& rline(X290) )
& ? [X291] :
( X278 = X291
& rline(X291) ) )
=> rS(X282,X283,X280) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(115), 0), imp(cond(axiom(115), 0)))') ).
fof('qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))',axiom,
! [X646,X647,X648,X649,X650,X651,X652] :
( ( ~ rR(X646,X648,X650)
& ~ rR(X646,X647,X649)
& X650 != X646
& X649 != X646
& X648 != X646
& X647 != X646
& ron(X650,X652)
& ron(X648,X652)
& ron(X649,X651)
& ron(X647,X651)
& ron(X646,X651)
& ? [X653] :
( X652 = X653
& rline(X653) )
& ? [X654] :
( X651 = X654
& rline(X654) )
& ? [X655] :
( X650 = X655
& rpoint(X655) )
& ? [X656] :
( X649 = X656
& rpoint(X656) )
& ? [X657] :
( X648 = X657
& rpoint(X657) )
& ? [X658] :
( X647 = X658
& rpoint(X658) )
& ? [X659] :
( X646 = X659
& rpoint(X659) ) )
=> vangle(X647,X646,X648) = vangle(X649,X646,X650) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))') ).
fof('qu(cond(axiom(192), 0), imp(cond(axiom(192), 0)))',axiom,
! [X686,X687,X688,X689,X690,X691] :
( ( ~ ron(X689,X690)
& rR(X688,X686,X687)
& X690 = X691
& rline(X691)
& ? [X692] :
( X689 = X692
& rpoint(X692) )
& ? [X693] :
( X688 = X693
& rpoint(X693) )
& ? [X694] :
( X687 = X694
& rpoint(X694) )
& ? [X695] :
( X686 = X695
& rpoint(X695) ) )
=> ( vangle(X686,X688,X689) = vangle(X689,X688,X687)
<=> vangle(X686,X688,X689) = vperp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(192), 0), imp(cond(axiom(192), 0)))') ).
fof('qu(cond(axiom(125), 0), imp(cond(axiom(125), 0)))',axiom,
! [X223,X224,X225,X226,X227,X228,X229,X230] :
( ( ron(X228,X229)
& ron(X227,X229)
& X229 = X230
& rline(X230)
& rcenter(X228,X224)
& rcenter(X227,X223)
& X225 != X226
& ron(X226,X224)
& ron(X226,X223)
& ron(X225,X224)
& ron(X225,X223)
& ? [X231] :
( X226 = X231
& rpoint(X231) )
& ? [X232] :
( X225 = X232
& rpoint(X232) )
& rintersect(X223,X224)
& X223 != X224
& ? [X233] :
( X224 = X233
& rcircle(X233) )
& ? [X234] :
( X223 = X234
& rcircle(X234) ) )
=> ~ rS(X225,X226,X229) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(125), 0), imp(cond(axiom(125), 0)))') ).
fof('qu(cond(axiom(93), 0), imp(cond(axiom(93), 0)))',axiom,
! [X360,X361,X362,X363] :
( ( rR(X361,X360,X363)
& rR(X361,X360,X362)
& ? [X364] :
( X363 = X364
& rpoint(X364) )
& ? [X365] :
( X362 = X365
& rpoint(X365) )
& ? [X366] :
( X361 = X366
& rpoint(X366) )
& ? [X367] :
( X360 = X367
& rpoint(X367) ) )
=> ~ rR(X361,X362,X363) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(93), 0), imp(cond(axiom(93), 0)))') ).
fof('qu(cond(axiom(39), 0), imp(cond(axiom(39), 0)))',axiom,
! [X477,X478,X479,X480] :
( ( X479 = X480
& ~ ron(X479,X477)
& rpoint(X480)
& X477 = X478
& rline(X478) )
=> ? [X481] :
( ~ rS(X481,X479,X477)
& rpoint(X481) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(39), 0), imp(cond(axiom(39), 0)))') ).
fof('qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))',axiom,
! [X1,X2,X3,X4,X5,X6,X7,X8] :
( ( ron(X3,X7)
& ron(X1,X7)
& X1 != X5
& X1 != X3
& X7 = X8
& rline(X8)
& X5 = X6
& rpoint(X6)
& X3 = X4
& rpoint(X4)
& X1 = X2
& rpoint(X2) )
=> ( ( ~ rR(X1,X3,X5)
& ron(X5,X7) )
<=> vangle(X3,X1,X5) = v0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).
fof('qu(cond(axiom(111), 0), imp(cond(axiom(111), 0)))',axiom,
! [X306,X307,X308,X309,X310] :
( ( ron(X307,X309)
& ron(X307,X310)
& ~ rS(X306,X308,X309)
& ron(X308,X310)
& ron(X306,X310)
& X309 != X310
& ? [X311] :
( X310 = X311
& rline(X311) )
& ? [X312] :
( X309 = X312
& rline(X312) )
& X307 != X308
& X306 != X308
& X306 != X307
& ? [X313] :
( X308 = X313
& rpoint(X313) )
& ? [X314] :
( X307 = X314
& rpoint(X314) )
& ? [X315] :
( X306 = X315
& rpoint(X315) ) )
=> rR(X307,X306,X308) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(111), 0), imp(cond(axiom(111), 0)))') ).
fof('qu(cond(axiom(103), 0), imp(cond(axiom(103), 0)))',axiom,
! [X340,X341,X342,X343,X344] :
( ( ~ rS(X340,X341,X343)
& ~ ron(X342,X343)
& ~ ron(X341,X343)
& ~ ron(X340,X343)
& X343 = X344
& rline(X344)
& ? [X345] :
( X342 = X345
& rpoint(X345) )
& ? [X346] :
( X341 = X346
& rpoint(X346) )
& ? [X347] :
( X340 = X347
& rpoint(X347) ) )
=> ( rS(X340,X342,X343)
| rS(X341,X342,X343) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(103), 0), imp(cond(axiom(103), 0)))') ).
fof('qu(cond(axiom(109), 0), imp(cond(axiom(109), 0)))',axiom,
! [X316,X317,X318,X319,X320] :
( ( ron(X317,X319)
& rR(X317,X316,X318)
& X319 = X320
& rline(X320)
& ? [X321] :
( X318 = X321
& rpoint(X321) )
& ? [X322] :
( X317 = X322
& rpoint(X322) )
& ? [X323] :
( X316 = X323
& rpoint(X323) ) )
=> ~ rS(X316,X318,X319) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(109), 0), imp(cond(axiom(109), 0)))') ).
fof('qu(cond(axiom(107), 0), imp(cond(axiom(107), 0)))',axiom,
! [X324,X325,X326,X327,X328] :
( ( ~ ron(X325,X327)
& ron(X324,X327)
& rR(X325,X324,X326)
& X327 = X328
& rline(X328)
& ? [X329] :
( X326 = X329
& rpoint(X329) )
& ? [X330] :
( X325 = X330
& rpoint(X330) )
& ? [X331] :
( X324 = X331
& rpoint(X331) ) )
=> rS(X325,X326,X327) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(107), 0), imp(cond(axiom(107), 0)))') ).
fof('qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))',axiom,
! [X129,X130,X131] :
( ( rR(X130,X129,X131)
& ? [X132] :
( X131 = X132
& rpoint(X132) )
& ? [X133] :
( X130 = X133
& rpoint(X133) )
& ? [X134] :
( X129 = X134
& rpoint(X134) ) )
=> ( ~ rR(X129,X130,X131)
& X129 != X131
& X129 != X130
& rR(X130,X131,X129) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof('qu(cond(axiom(33), 0), imp(cond(axiom(33), 0)))',axiom,
! [X498,X499,X500,X501] :
( ( X500 = X501
& ~ ron(X500,X498)
& rpoint(X501)
& X498 = X499
& rline(X499) )
=> ? [X502] :
( X502 != X500
& rS(X502,X500,X498)
& rpoint(X502) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(33), 0), imp(cond(axiom(33), 0)))') ).
fof('qu(cond(axiom(123), 0), imp(cond(axiom(123), 0)))',axiom,
! [X235,X236,X237,X238,X239] :
( ( rR(X237,X235,X236)
& ~ rinside(X237,X238)
& ( ron(X235,X238)
| rinside(X235,X238) )
& X238 = X239
& rcircle(X239)
& ? [X240] :
( X237 = X240
& rpoint(X240) )
& ? [X241] :
( X236 = X241
& rpoint(X241) )
& ? [X242] :
( X235 = X242
& rpoint(X242) ) )
=> ( ~ ron(X236,X238)
& ~ ron(X236,X238) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(123), 0), imp(cond(axiom(123), 0)))') ).
fof('qu(cond(axiom(127), 0), imp(cond(axiom(127), 0)))',axiom,
! [X215,X216,X217,X218,X219,X220] :
( ( X217 = X218
& X219 = X220
& ron(X216,X219)
& ron(X215,X219)
& rline(X220)
& ~ rS(X215,X216,X217)
& rline(X218)
& ? [X221] :
( X216 = X221
& rpoint(X221) )
& ? [X222] :
( X215 = X222
& rpoint(X222) ) )
=> rintersect(X217,X219) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(127), 0), imp(cond(axiom(127), 0)))') ).
fof('qu(cond(axiom(133), 0), imp(cond(axiom(133), 0)))',axiom,
! [X121,X122,X123,X124] :
( ( ~ rinside(X122,X124)
& ~ ron(X122,X124)
& rinside(X121,X124)
& ( ron(X122,X123)
| rinside(X122,X123) )
& ron(X121,X123)
& ? [X125] :
( X124 = X125
& rcircle(X125) )
& ? [X126] :
( X123 = X126
& rcircle(X126) )
& ? [X127] :
( X122 = X127
& rpoint(X127) )
& ? [X128] :
( X121 = X128
& rpoint(X128) ) )
=> rintersect(X123,X124) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(133), 0), imp(cond(axiom(133), 0)))') ).
fof('qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))',axiom,
! [X95,X96,X97,X98] :
( ( rS(X95,X96,X97)
& X97 = X98
& rline(X98)
& ? [X99] :
( X96 = X99
& rpoint(X99) )
& ? [X100] :
( X95 = X100
& rpoint(X100) ) )
=> ~ ron(X95,X97) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).
fof('qu(cond(axiom(95), 0), imp(cond(axiom(95), 0)))',axiom,
! [X356,X357,X358,X359] :
( ( ~ ron(X356,X358)
& X358 = X359
& rline(X359)
& X356 = X357
& rpoint(X357) )
=> rS(X356,X356,X358) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(95), 0), imp(cond(axiom(95), 0)))') ).
fof('ass(cond(conseq(271), 3), 2)',axiom,
( vd1199 != vd1185
=> ~ rR(vd1199,vd1185,vd1186) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conseq(271), 3), 2)') ).
fof('ass(cond(conseq(271), 3), 1)',axiom,
( vd1199 != vd1185
=> ~ rR(vd1185,vd1199,vd1186) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conseq(271), 3), 1)') ).
fof('qu(cond(axiom(147), 0), imp(cond(axiom(147), 0)))',axiom,
! [X186,X187,X188,X189] :
( ( rless(X186,X188)
& X188 = X189
& rreal(X189)
& X186 = X187
& rreal(X187) )
=> ( ~ rless(X188,X186)
| X186 = X188 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(147), 0), imp(cond(axiom(147), 0)))') ).
fof('qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))',axiom,
! [X135,X136,X137,X138] :
( ( rinside(X135,X137)
& X137 = X138
& rcircle(X138)
& X135 = X136
& rpoint(X136) )
=> ~ ron(X135,X137) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))') ).
fof('qu(cond(axiom(49), 0), imp(cond(axiom(49), 0)))',axiom,
! [X456,X457] :
( ( X456 = X457
& rcircle(X457) )
=> ? [X458] :
( ~ ron(X458,X456)
& ~ rinside(X458,X456)
& rpoint(X458) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(49), 0), imp(cond(axiom(49), 0)))') ).
fof('qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))',axiom,
! [X184,X185] :
( ( X184 = X185
& rreal(X185) )
=> ~ rless(X184,X184) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))') ).
fof('ass(cond(goal(238), 0), 1)',axiom,
! [X60,X61,X62,X63,X64,X65,X66,X67] :
( ( rless(vf(X64,X66),vf(X60,X62))
& X64 != X66
& X60 != X62
& X66 = X67
& rpoint(X67)
& X64 = X65
& rpoint(X65)
& X62 = X63
& rpoint(X63)
& X60 = X61
& rpoint(X61) )
=> rR(vskolem1120(X60,X61,X62,X63,X64,X65,X66,X67),X60,X62) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 1)') ).
fof('ass(cond(goal(238), 0), 0)',axiom,
! [X60,X61,X62,X63,X64,X65,X66,X67] :
( ( rless(vf(X64,X66),vf(X60,X62))
& X64 != X66
& X60 != X62
& X66 = X67
& rpoint(X67)
& X64 = X65
& rpoint(X65)
& X62 = X63
& rpoint(X63)
& X60 = X61
& rpoint(X61) )
=> vf(X60,vskolem1120(X60,X61,X62,X63,X64,X65,X66,X67)) = vf(X64,X66) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 0)') ).
fof('ass(cond(goal(238), 0), 2)',axiom,
! [X60,X61,X62,X63,X64,X65,X66,X67] :
( ( rless(vf(X64,X66),vf(X60,X62))
& X64 != X66
& X60 != X62
& X66 = X67
& rpoint(X67)
& X64 = X65
& rpoint(X65)
& X62 = X63
& rpoint(X63)
& X60 = X61
& rpoint(X61) )
=> rpoint(vskolem1120(X60,X61,X62,X63,X64,X65,X66,X67)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 2)') ).
fof('qu(cond(axiom(63), 0), imp(cond(axiom(63), 0)))',axiom,
! [X431,X432,X433,X434,X435,X436,X437,X438] :
( ( X437 != X435
& ron(X437,X433)
& X437 = X438
& rpoint(X438)
& ron(X435,X433)
& rinside(X435,X431)
& X435 = X436
& rpoint(X436)
& X433 = X434
& rline(X434)
& X431 = X432
& rcircle(X432) )
=> ? [X439] :
( rR(X435,X439,X437)
& ron(X439,X433)
& ron(X439,X431)
& rpoint(X439) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(63), 0), imp(cond(axiom(63), 0)))') ).
fof('qu(cond(axiom(27), 0), imp(cond(axiom(27), 0)))',axiom,
! [X519,X520,X521,X522,X523,X524] :
( ( rR(X524,X521,X522)
& rR(X523,X521,X522)
& ron(X523,X519)
& ron(X522,X519)
& ron(X521,X519)
& ? [X525] :
( X524 = X525
& rpoint(X525) )
& ? [X526] :
( X523 = X526
& rpoint(X526) )
& ? [X527] :
( X522 = X527
& rpoint(X527) )
& ? [X528] :
( X521 = X528
& rpoint(X528) )
& X519 = X520
& rline(X520) )
=> ? [X529] :
( X529 != X524
& X529 != X523
& rR(X529,X521,X522)
& rpoint(X529) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(27), 0), imp(cond(axiom(27), 0)))') ).
fof('qu(cond(axiom(25), 0), imp(cond(axiom(25), 0)))',axiom,
! [X530,X531,X532,X533,X534] :
( ( rR(X534,X532,X533)
& ron(X533,X530)
& ron(X532,X530)
& ? [X535] :
( X534 = X535
& rpoint(X535) )
& ? [X536] :
( X533 = X536
& rpoint(X536) )
& ? [X537] :
( X532 = X537
& rpoint(X537) )
& X530 = X531
& rline(X531) )
=> ? [X538] :
( X538 != X534
& rR(X538,X532,X533)
& rpoint(X538) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(25), 0), imp(cond(axiom(25), 0)))') ).
fof('qu(cond(axiom(31), 0), imp(cond(axiom(31), 0)))',axiom,
! [X503,X504,X505,X506,X507,X508] :
( ( X507 = X508
& rR(X506,X505,X507)
& rpoint(X508)
& ron(X506,X503)
& ron(X505,X503)
& ? [X509] :
( X506 = X509
& rpoint(X509) )
& ? [X510] :
( X505 = X510
& rpoint(X510) )
& X503 = X504
& rline(X504) )
=> ? [X511] :
( X511 != X507
& rR(X506,X505,X511)
& rpoint(X511) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(31), 0), imp(cond(axiom(31), 0)))') ).
fof('qu(cond(axiom(19), 0), imp(cond(axiom(19), 0)))',axiom,
! [X555,X556,X557,X558,X559,X560] :
( ( ron(X559,X555)
& ron(X557,X555)
& X559 = X560
& rpoint(X560)
& X557 = X558
& rpoint(X558)
& X555 = X556
& rline(X556) )
=> ? [X561] :
( X561 != X559
& X561 != X557
& ron(X561,X555)
& rpoint(X561) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(19), 0), imp(cond(axiom(19), 0)))') ).
fof('qu(cond(axiom(196), 0), imp(cond(axiom(196), 0)))',axiom,
! [X723,X724,X725,X726,X727,X728,X729,X730] :
( ( rless(vplus(vangle(X723,X724,X725),vangle(X724,X725,X726)),vplus(vperp,vperp))
& rS(X723,X726,X729)
& X724 != X725
& ron(X726,X730)
& ron(X725,X730)
& ron(X725,X729)
& ron(X724,X729)
& ron(X724,X728)
& ron(X723,X728)
& ? [X731] :
( X730 = X731
& rline(X731) )
& ? [X732] :
( X729 = X732
& rline(X732) )
& ? [X733] :
( X728 = X733
& rline(X733) )
& ? [X734] :
( X727 = X734
& rpoint(X734) )
& ? [X735] :
( X726 = X735
& rpoint(X735) )
& ? [X736] :
( X725 = X736
& rpoint(X736) )
& ? [X737] :
( X724 = X737
& rpoint(X737) )
& ? [X738] :
( X723 = X738
& rpoint(X738) ) )
=> ( ( ( ron(X727,X729)
& ron(X727,X728) )
=> rS(X727,X723,X729) )
& rintersect(X728,X729) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(196), 0), imp(cond(axiom(196), 0)))') ).
fof('ass(cond(goal(206), 0), 0)',axiom,
! [X605,X606,X607,X608] :
( ( X607 = X608
& X605 != X607
& rpoint(X608)
& X605 = X606
& rpoint(X606) )
=> vf(X607,vskolem1052(X605,X606,X607,X608)) = vf(vskolem1052(X605,X606,X607,X608),X605) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(206), 0), 0)') ).
fof('qu(cond(axiom(178), 0), imp(cond(axiom(178), 0)))',axiom,
! [X660,X661,X662,X663,X664,X665] :
( ( vangle(X662,X660,X661) = vangle(X665,X663,X664)
& vangle(X661,X662,X660) = vangle(X664,X665,X663)
& vangle(X660,X661,X662) = vangle(X663,X664,X665)
& vf(X662,X660) = vf(X665,X663)
& vf(X661,X662) = vf(X664,X665)
& vf(X660,X661) = vf(X663,X664)
& ? [X666] :
( X665 = X666
& rpoint(X666) )
& ? [X667] :
( X664 = X667
& rpoint(X667) )
& ? [X668] :
( X663 = X668
& rpoint(X668) )
& ? [X669] :
( X662 = X669
& rpoint(X669) )
& ? [X670] :
( X661 = X670
& rpoint(X670) )
& ? [X671] :
( X660 = X671
& rpoint(X671) ) )
=> vg(X660,X661,X662) = vg(X663,X664,X665) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(178), 0), imp(cond(axiom(178), 0)))') ).
fof('qu(cond(axiom(23), 0), imp(cond(axiom(23), 0)))',axiom,
! [X539,X540,X541,X542] :
( ( X541 != X542
& ron(X542,X539)
& ron(X541,X539)
& ? [X543] :
( X542 = X543
& rpoint(X543) )
& ? [X544] :
( X541 = X544
& rpoint(X544) )
& X539 = X540
& rline(X540) )
=> ? [X545] :
( rR(X545,X541,X542)
& rpoint(X545) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(23), 0), imp(cond(axiom(23), 0)))') ).
fof('qu(cond(axiom(29), 0), imp(cond(axiom(29), 0)))',axiom,
! [X512,X513,X514,X515] :
( ( X514 != X515
& ron(X515,X512)
& ron(X514,X512)
& ? [X516] :
( X515 = X516
& rpoint(X516) )
& ? [X517] :
( X514 = X517
& rpoint(X517) )
& X512 = X513
& rline(X513) )
=> ? [X518] :
( rR(X515,X514,X518)
& rpoint(X518) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(29), 0), imp(cond(axiom(29), 0)))') ).
fof('qu(cond(axiom(21), 0), imp(cond(axiom(21), 0)))',axiom,
! [X546,X547,X548,X549,X550] :
( ( ron(X550,X546)
& ron(X549,X546)
& ron(X548,X546)
& ? [X551] :
( X550 = X551
& rpoint(X551) )
& ? [X552] :
( X549 = X552
& rpoint(X552) )
& ? [X553] :
( X548 = X553
& rpoint(X553) )
& X546 = X547
& rline(X547) )
=> ? [X554] :
( X554 != X549
& X554 != X548
& ron(X554,X546)
& rpoint(X554) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(21), 0), imp(cond(axiom(21), 0)))') ).
fof('qu(cond(axiom(117), 0), imp(cond(axiom(117), 0)))',axiom,
! [X263,X264,X265,X266,X267,X268,X269,X270] :
( ( rS(X268,X270,X265)
& rS(X269,X270,X264)
& rS(X267,X268,X265)
& rS(X268,X269,X263)
& ron(X269,X265)
& ron(X268,X264)
& ron(X267,X263)
& ron(X266,X265)
& ron(X266,X264)
& ron(X266,X263)
& ? [X271] :
( X269 = X271
& rpoint(X271) )
& ? [X272] :
( X268 = X272
& rpoint(X272) )
& ? [X273] :
( X267 = X273
& rpoint(X273) )
& ? [X274] :
( X266 = X274
& rpoint(X274) )
& ? [X275] :
( X265 = X275
& rline(X275) )
& ? [X276] :
( X264 = X276
& rline(X276) )
& ? [X277] :
( X263 = X277
& rline(X277) ) )
=> rS(X268,X270,X263) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(117), 0), imp(cond(axiom(117), 0)))') ).
fof('qu(cond(axiom(45), 0), imp(cond(axiom(45), 0)))',axiom,
! [X462,X463,X464,X465] :
( ( ron(X465,X462)
& ron(X464,X462)
& ? [X466] :
( X465 = X466
& rpoint(X466) )
& ? [X467] :
( X464 = X467
& rpoint(X467) )
& X462 = X463
& rcircle(X463) )
=> ? [X468] :
( X468 != X465
& X468 != X464
& ron(X468,X462)
& rpoint(X468) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(45), 0), imp(cond(axiom(45), 0)))') ).
fof('ass(cond(goal(219), 0), 0)',axiom,
! [X159,X160] :
( ( X159 != X160
& ? [X161] :
( X160 = X161
& rpoint(X161) )
& ? [X162] :
( X159 = X162
& rpoint(X162) ) )
=> ! [X163,X164] :
( ( X163 = X164
& X163 != X160
& X163 != X159
& rpoint(X164) )
=> vf(X159,X160) = vf(X163,vskolem1078(X163,X164,X159,X160)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(219), 0), 0)') ).
fof('ass(cond(goal(206), 0), 1)',axiom,
! [X605,X606,X607,X608] :
( ( X607 = X608
& X605 != X607
& rpoint(X608)
& X605 = X606
& rpoint(X606) )
=> vf(X605,X607) = vf(X607,vskolem1052(X605,X606,X607,X608)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(206), 0), 1)') ).
fof('qu(cond(axiom(13), 0), imp(cond(axiom(13), 0)))',axiom,
! [X570,X571,X572,X573] :
( ( ? [X574] :
( X573 = X574
& rpoint(X574) )
& ? [X575] :
( X572 = X575
& rpoint(X575) )
& ? [X576] :
( X571 = X576
& rpoint(X576) )
& ? [X577] :
( X570 = X577
& rpoint(X577) ) )
=> ? [X578] :
( X578 != X573
& X578 != X572
& X578 != X571
& X578 != X570
& rpoint(X578) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(13), 0), imp(cond(axiom(13), 0)))') ).
fof('ass(cond(goal(219), 0), 1)',axiom,
! [X159,X160] :
( ( X159 != X160
& ? [X161] :
( X160 = X161
& rpoint(X161) )
& ? [X162] :
( X159 = X162
& rpoint(X162) ) )
=> ! [X163,X164] :
( ( X163 = X164
& X163 != X160
& X163 != X159
& rpoint(X164) )
=> rpoint(vskolem1078(X163,X164,X159,X160)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(219), 0), 1)') ).
fof('ass(cond(goal(206), 0), 2)',axiom,
! [X605,X606,X607,X608] :
( ( X607 = X608
& X605 != X607
& rpoint(X608)
& X605 = X606
& rpoint(X606) )
=> rpoint(vskolem1052(X605,X606,X607,X608)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(206), 0), 2)') ).
fof('qu(cond(axiom(129), 0), imp(cond(axiom(129), 0)))',axiom,
! [X205,X206,X207,X208] :
( ( ~ ? [X209] : rS(X205,X206,X209)
& ( ron(X206,X207)
| rinside(X206,X207) )
& ( ron(X205,X207)
| rinside(X205,X207) )
& ? [X210] :
( X208 = X210
& rcircle(X210) )
& ? [X211] :
( X207 = X211
& rcircle(X211) )
& ? [X212] :
( X206 = X212
& rpoint(X212) )
& ? [X213] :
( X205 = X213
& rpoint(X213) ) )
=> ? [X214] : rintersect(X214,X207) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(129), 0), imp(cond(axiom(129), 0)))') ).
fof('qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))',axiom,
! [X52,X53,X54,X55,X56] :
( ( X55 = X56
& ron(X54,X55)
& ron(X53,X55)
& ron(X52,X55)
& rline(X56)
& X53 != X54
& X52 != X54
& X52 != X53
& ? [X57] :
( X54 = X57
& rpoint(X57) )
& ? [X58] :
( X53 = X58
& rpoint(X58) )
& ? [X59] :
( X52 = X59
& rpoint(X59) ) )
=> ( rR(X53,X52,X54)
| rR(X52,X53,X54)
| rR(X54,X52,X53) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))') ).
fof('qu(cond(axiom(105), 0), imp(cond(axiom(105), 0)))',axiom,
! [X332,X333,X334,X335,X336] :
( ( rS(X332,X334,X335)
& rR(X333,X332,X334)
& X335 = X336
& rline(X336)
& ? [X337] :
( X334 = X337
& rpoint(X337) )
& ? [X338] :
( X333 = X338
& rpoint(X338) )
& ? [X339] :
( X332 = X339
& rpoint(X339) ) )
=> rS(X332,X333,X335) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(105), 0), imp(cond(axiom(105), 0)))') ).
fof('qu(cond(axiom(101), 0), imp(cond(axiom(101), 0)))',axiom,
! [X348,X349,X350,X351,X352] :
( ( rS(X348,X350,X351)
& rS(X348,X349,X351)
& X351 = X352
& rline(X352)
& ? [X353] :
( X350 = X353
& rpoint(X353) )
& ? [X354] :
( X349 = X354
& rpoint(X354) )
& ? [X355] :
( X348 = X355
& rpoint(X355) ) )
=> rS(X349,X350,X351) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(101), 0), imp(cond(axiom(101), 0)))') ).
fof('qu(cond(axiom(87), 0), imp(cond(axiom(87), 0)))',axiom,
! [X376,X377,X378,X379] :
( ( rR(X379,X376,X377)
& rR(X377,X376,X378)
& ? [X380] :
( X379 = X380
& rpoint(X380) )
& ? [X381] :
( X378 = X381
& rpoint(X381) )
& ? [X382] :
( X377 = X382
& rpoint(X382) )
& ? [X383] :
( X376 = X383
& rpoint(X383) ) )
=> rR(X379,X376,X378) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(87), 0), imp(cond(axiom(87), 0)))') ).
fof('qu(cond(axiom(89), 0), imp(cond(axiom(89), 0)))',axiom,
! [X368,X369,X370,X371] :
( ( rR(X370,X369,X371)
& rR(X369,X368,X370)
& ? [X372] :
( X371 = X372
& rpoint(X372) )
& ? [X373] :
( X370 = X373
& rpoint(X373) )
& ? [X374] :
( X369 = X374
& rpoint(X374) )
& ? [X375] :
( X368 = X375
& rpoint(X375) ) )
=> rR(X369,X368,X371) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(89), 0), imp(cond(axiom(89), 0)))') ).
fof('qu(cond(axiom(119), 0), imp(cond(axiom(119), 0)))',axiom,
! [X253,X254,X255,X256,X257,X258,X259] :
( ( X254 != X255
& ron(X255,X258)
& ron(X254,X258)
& rinside(X253,X258)
& ron(X255,X256)
& ron(X254,X256)
& ron(X253,X256)
& X258 = X259
& rcircle(X259)
& X256 = X257
& rline(X257)
& ? [X260] :
( X255 = X260
& rpoint(X260) )
& ? [X261] :
( X254 = X261
& rpoint(X261) )
& ? [X262] :
( X253 = X262
& rpoint(X262) ) )
=> rR(X253,X254,X255) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(119), 0), imp(cond(axiom(119), 0)))') ).
fof('qu(cond(axiom(59), 0), imp(cond(axiom(59), 0)))',axiom,
! [X440,X441,X442,X443] :
( ( rintersect(X442,X440)
& X442 = X443
& rline(X443)
& X440 = X441
& rcircle(X441) )
=> ? [X444,X445] :
( X444 != X445
& ron(X445,X440)
& ron(X445,X442)
& rpoint(X445)
& ron(X444,X440)
& ron(X444,X442)
& rpoint(X444) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(59), 0), imp(cond(axiom(59), 0)))') ).
fof('qu(cond(axiom(3), 0), imp(cond(axiom(3), 0)))',axiom,
! [X594,X595,X596,X597] :
( ( vtriangle(X594,X595,X596) = X597
& rtriangle(X597) )
=> ( X595 != X596
& X594 != X596
& X594 != X595
& ? [X598] :
( X596 = X598
& rpoint(X598) )
& ? [X599] :
( X595 = X599
& rpoint(X599) )
& ? [X600] :
( X594 = X600
& rpoint(X600) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(3), 0), imp(cond(axiom(3), 0)))') ).
fof('qu(cond(axiom(121), 0), imp(cond(axiom(121), 0)))',axiom,
! [X243,X244,X245,X246,X247,X248,X249] :
( ( rR(X245,X243,X244)
& ( ron(X244,X248)
| rinside(X244,X248) )
& ( ron(X243,X248)
| rinside(X243,X248) )
& X248 = X249
& rcircle(X249)
& X246 = X247
& rline(X247)
& ? [X250] :
( X245 = X250
& rpoint(X250) )
& ? [X251] :
( X244 = X251
& rpoint(X251) )
& ? [X252] :
( X243 = X252
& rpoint(X252) ) )
=> rinside(X245,X248) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(121), 0), imp(cond(axiom(121), 0)))') ).
fof('qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))',axiom,
! [X109,X110,X111] :
( ( rR(X110,X109,X111)
& ? [X112] :
( X111 = X112
& rpoint(X112) )
& ? [X113] :
( X110 = X113
& rpoint(X113) )
& ? [X114] :
( X109 = X114
& rpoint(X114) ) )
=> vplus(vf(X109,X110),vf(X110,X111)) = vf(X109,X111) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))') ).
fof('qu(cond(axiom(200), 0), imp(cond(axiom(200), 0)))',axiom,
! [X702,X703,X704,X705,X706] :
( ( ron(X703,X705)
& ron(X702,X705)
& X702 != X703
& X705 = X706
& rline(X706)
& ? [X707] :
( X704 = X707
& rpoint(X707) )
& ? [X708] :
( X703 = X708
& rpoint(X708) )
& ? [X709] :
( X702 = X709
& rpoint(X709) ) )
=> ( vg(X702,X703,X704) = v0
<=> ron(X704,X705) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(200), 0), imp(cond(axiom(200), 0)))') ).
fof('qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))',axiom,
! [X392,X393,X394,X395,X396] :
( ( X395 = X396
& ron(X393,X395)
& ron(X392,X395)
& rR(X393,X392,X394)
& rline(X396)
& ? [X397] :
( X394 = X397
& rpoint(X397) )
& ? [X398] :
( X393 = X398
& rpoint(X398) )
& ? [X399] :
( X392 = X399
& rpoint(X399) ) )
=> ron(X394,X395) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))') ).
fof('qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))',axiom,
! [X384,X385,X386,X387,X388] :
( ( X387 = X388
& ron(X386,X387)
& ron(X384,X387)
& rR(X385,X384,X386)
& rline(X388)
& ? [X389] :
( X386 = X389
& rpoint(X389) )
& ? [X390] :
( X385 = X390
& rpoint(X390) )
& ? [X391] :
( X384 = X391
& rpoint(X391) ) )
=> ron(X385,X387) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))') ).
fof('qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))',axiom,
! [X36,X37,X38,X39] :
( ( ron(X37,X39)
& rcenter(X38,X39)
& ? [X40] :
( X37 = X40
& rpoint(X40) )
& ? [X41] :
( X36 = X41
& rpoint(X41) ) )
=> ( rless(vf(X38,X36),vf(X38,X37))
<=> rinside(X36,X39) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))') ).
fof('qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))',axiom,
! [X46,X47,X48,X49] :
( ( rS(X46,X47,X48)
& X48 = X49
& rline(X49)
& ? [X50] :
( X47 = X50
& rpoint(X50) )
& ? [X51] :
( X46 = X51
& rpoint(X51) ) )
=> rS(X47,X46,X48) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))') ).
fof('qu(cond(axiom(170), 0), imp(cond(axiom(170), 0)))',axiom,
! [X743,X744,X745] :
( ( ? [X746] :
( X745 = X746
& rpoint(X746) )
& ? [X747] :
( X744 = X747
& rpoint(X747) )
& ? [X748] :
( X743 = X748
& rpoint(X748) ) )
=> ( rleq(vangle(X743,X744,X745),vplus(vperp,vperp))
& rleq(v0,vangle(X743,X744,X745)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(170), 0), imp(cond(axiom(170), 0)))') ).
fof('qu(cond(axiom(17), 0), imp(cond(axiom(17), 0)))',axiom,
! [X562,X563,X564,X565] :
( ( ron(X564,X562)
& X564 = X565
& rpoint(X565)
& X562 = X563
& rline(X563) )
=> ? [X566] :
( X566 != X564
& ron(X566,X562)
& rpoint(X566) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(17), 0), imp(cond(axiom(17), 0)))') ).
fof('qu(cond(axiom(43), 0), imp(cond(axiom(43), 0)))',axiom,
! [X469,X470,X471,X472] :
( ( ron(X471,X469)
& X471 = X472
& rpoint(X472)
& X469 = X470
& rcircle(X470) )
=> ? [X473] :
( X473 != X471
& ron(X473,X469)
& rpoint(X473) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(43), 0), imp(cond(axiom(43), 0)))') ).
fof('qu(cond(axiom(55), 0), imp(cond(axiom(55), 0)))',axiom,
! [X451,X452,X453,X454] :
( ( rintersect(X451,X453)
& X453 = X454
& rline(X454)
& X451 = X452
& rline(X452) )
=> ? [X455] :
( ron(X455,X453)
& ron(X455,X451)
& rpoint(X455) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(55), 0), imp(cond(axiom(55), 0)))') ).
fof('qu(cond(axiom(57), 0), imp(cond(axiom(57), 0)))',axiom,
! [X446,X447,X448,X449] :
( ( rintersect(X448,X446)
& X448 = X449
& rline(X449)
& X446 = X447
& rcircle(X447) )
=> ? [X450] :
( ron(X450,X446)
& ron(X450,X448)
& rpoint(X450) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(57), 0), imp(cond(axiom(57), 0)))') ).
fof('qu(cond(axiom(65), 0), imp(cond(axiom(65), 0)))',axiom,
! [X426,X427,X428,X429] :
( ( rintersect(X426,X428)
& X428 = X429
& rcircle(X429)
& X426 = X427
& rcircle(X427) )
=> ? [X430] :
( ron(X430,X428)
& ron(X430,X426)
& rpoint(X430) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(65), 0), imp(cond(axiom(65), 0)))') ).
fof('qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))',axiom,
! [X165,X166,X167,X168,X169] :
( ( vf(X167,X165) = vf(X167,X166)
& ron(X166,X169)
& ron(X165,X168)
& rcenter(X167,X169)
& rcenter(X167,X168)
& ? [X170] :
( X166 = X170
& rpoint(X170) )
& ? [X171] :
( X165 = X171
& rpoint(X171) ) )
=> X168 = X169 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))') ).
fof('qu(cond(axiom(174), 0), imp(cond(axiom(174), 0)))',axiom,
! [X710,X711,X712,X713,X714,X715] :
( ( X714 = X715
& rpoint(X715)
& X712 = X713
& rpoint(X713)
& X710 = X711
& rpoint(X711) )
=> rgeq(vg(X710,X712,X714),v0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(174), 0), imp(cond(axiom(174), 0)))') ).
fof('qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))',axiom,
! [X749,X750,X751] :
( ( X749 != X751
& X749 != X750
& ? [X752] :
( X751 = X752
& rpoint(X752) )
& ? [X753] :
( X750 = X753
& rpoint(X753) )
& ? [X754] :
( X749 = X754
& rpoint(X754) ) )
=> vangle(X749,X750,X751) = vangle(X751,X750,X749) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))') ).
fof('qu(cond(axiom(198), 0), imp(cond(axiom(198), 0)))',axiom,
! [X716,X717,X718] :
( ( ? [X719] :
( X718 = X719
& rpoint(X719) )
& ? [X720] :
( X717 = X720
& rpoint(X720) )
& ? [X721] :
( X716 = X721
& rpoint(X721) ) )
=> ? [X722] :
( vg(X716,X717,X718) = X722
& rreal(X722) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(198), 0), imp(cond(axiom(198), 0)))') ).
fof('qu(cond(axiom(11), 0), imp(cond(axiom(11), 0)))',axiom,
! [X579,X580,X581] :
( ( ? [X582] :
( X581 = X582
& rpoint(X582) )
& ? [X583] :
( X580 = X583
& rpoint(X583) )
& ? [X584] :
( X579 = X584
& rpoint(X584) ) )
=> ? [X585] :
( X585 != X581
& X585 != X580
& X585 != X579
& rpoint(X585) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(11), 0), imp(cond(axiom(11), 0)))') ).
fof('qu(cond(axiom(176), 0), imp(cond(axiom(176), 0)))',axiom,
! [X696,X697,X698] :
( ( ? [X699] :
( X698 = X699
& rpoint(X699) )
& ? [X700] :
( X697 = X700
& rpoint(X700) )
& ? [X701] :
( X696 = X701
& rpoint(X701) ) )
=> ( vg(X696,X697,X698) = vg(X696,X698,X697)
& vg(X696,X697,X698) = vg(X698,X696,X697) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(176), 0), imp(cond(axiom(176), 0)))') ).
fof('qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))',axiom,
! [X101,X102,X103,X104] :
( ( ron(X102,X104)
& ron(X102,X103)
& ron(X101,X104)
& ron(X101,X103)
& ? [X105] :
( X104 = X105
& rline(X105) )
& ? [X106] :
( X103 = X106
& rline(X106) )
& X101 != X102
& ? [X107] :
( X102 = X107
& rpoint(X107) )
& ? [X108] :
( X101 = X108
& rpoint(X108) ) )
=> X103 = X104 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).
fof('qu(cond(axiom(139), 0), imp(cond(axiom(139), 0)))',axiom,
! [X194,X195,X196,X197] :
( ( X196 = X197
& rreal(X197)
& X194 = X195
& rreal(X195) )
=> ? [X198] :
( vplus(X194,X196) = X198
& rreal(X198) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(139), 0), imp(cond(axiom(139), 0)))') ).
fof('qu(cond(axiom(135), 0), imp(cond(axiom(135), 0)))',axiom,
! [X115,X116,X117,X118] :
( ( ron(X116,X118)
& rinside(X115,X118)
& rinside(X116,X117)
& ron(X115,X117)
& ? [X119] :
( X116 = X119
& rpoint(X119) )
& ? [X120] :
( X115 = X120
& rpoint(X120) ) )
=> rintersect(X117,X118) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(135), 0), imp(cond(axiom(135), 0)))') ).
fof('qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))',axiom,
! [X68,X69,X70,X71,X72,X73] :
( ( ron(X72,X71)
& X72 = X73
& rpoint(X73)
& rcenter(X70,X71)
& X68 = X69
& rpoint(X69) )
=> ( vf(X70,X68) = vf(X70,X72)
<=> ron(X68,X71) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))') ).
fof('qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))',axiom,
! [X172,X173,X174,X175,X176,X177] :
( ( rless(X172,X174)
& X176 = X177
& rreal(X177)
& X174 = X175
& rreal(X175)
& X172 = X173
& rreal(X173) )
=> rless(vplus(X172,X176),vplus(X174,X176)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))') ).
fof('ass(cond(conseq(271), 3), 3)',axiom,
( vd1199 != vd1185
=> ( rR(vd1199,vd1185,vd1186)
| rR(vd1185,vd1199,vd1186) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conseq(271), 3), 3)') ).
fof('ass(cond(conseq(271), 3), 0)',axiom,
( vd1199 != vd1185
=> ( rR(vd1185,vd1199,vd1186)
| rR(vd1199,vd1185,vd1186) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conseq(271), 3), 0)') ).
fof('and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))',axiom,
( ~ ? [X9] :
( ron(vd1187,X9)
& ron(vd1186,X9)
& ron(vd1185,X9)
& rline(X9) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& ? [X10] :
( vd1187 = X10
& rpoint(X10) )
& ? [X11] :
( vd1186 = X11
& rpoint(X11) )
& ? [X12] :
( vd1185 = X12
& rpoint(X12) )
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& ? [X13] :
( vd1180 = X13
& rpoint(X13) )
& ? [X14] :
( vd1179 = X14
& rpoint(X14) )
& ? [X15] :
( vd1178 = X15
& rpoint(X15) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))') ).
fof('qu(cond(axiom(131), 0), imp(cond(axiom(131), 0)))',axiom,
! [X199,X200,X201,X202,X203,X204] :
( ( ron(X199,X203)
& rinside(X199,X201)
& X203 = X204
& rline(X204)
& X201 = X202
& rcircle(X202)
& X199 = X200
& rpoint(X200) )
=> rintersect(X203,X201) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(131), 0), imp(cond(axiom(131), 0)))') ).
fof('qu(cond(axiom(151), 0), imp(cond(axiom(151), 0)))',axiom,
! [X178,X179,X180,X181,X182,X183] :
( ( rless(X180,X182)
& rless(X178,X180)
& X182 = X183
& rreal(X183)
& X180 = X181
& rreal(X181)
& X178 = X179
& rreal(X179) )
=> rless(X178,X182) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(151), 0), imp(cond(axiom(151), 0)))') ).
fof('qu(cond(axiom(67), 0), imp(cond(axiom(67), 0)))',axiom,
! [X139,X140] :
( ( rintersect(X139,X140)
& ? [X141] :
( X140 = X141
& rcircle(X141) )
& ? [X142] :
( X139 = X142
& rcircle(X142) ) )
=> ? [X143,X144] :
( X143 != X144
& ron(X144,X140)
& ron(X144,X139)
& rpoint(X144)
& ron(X143,X140)
& ron(X143,X139)
& rpoint(X143) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(67), 0), imp(cond(axiom(67), 0)))') ).
fof('neg(298)',axiom,
~ rS(vd1186,vd1201,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(298)') ).
fof('neg(neg(conjunct2(conjunct2(comma_conjunct2(plural(271))))))',axiom,
~ rR(vd1186,vd1199,vd1185),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(conjunct2(conjunct2(comma_conjunct2(plural(271))))))') ).
fof('ass(cond(156, 0), 0)',axiom,
! [X83,X84,X85,X86,X87,X88] :
( ( vplus(X83,X87) = vplus(X85,X87)
& X87 = X88
& rreal(X88)
& X85 = X86
& rreal(X86)
& X83 = X84
& rreal(X84) )
=> X83 = X85 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(156, 0), 0)') ).
fof('qu(cond(axiom(172), 0), imp(cond(axiom(172), 0)))',axiom,
! [X739,X740] :
( ( ? [X741] :
( X740 = X741
& rpoint(X741) )
& ? [X742] :
( X739 = X742
& rpoint(X742) ) )
=> vg(X739,X739,X740) = v0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(172), 0), imp(cond(axiom(172), 0)))') ).
fof('qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))',axiom,
! [X154,X155] :
( ( X154 != X155
& ? [X156] :
( X155 = X156
& rpoint(X156) )
& ? [X157] :
( X154 = X157
& rpoint(X157) ) )
=> ? [X158] :
( ron(X155,X158)
& rcenter(X154,X158)
& rcircle(X158) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))') ).
fof('qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))',axiom,
! [X19,X20] :
( ( X19 != X20
& ? [X21] :
( X20 = X21
& rpoint(X21) )
& ? [X22] :
( X19 = X22
& rpoint(X22) ) )
=> ? [X23] :
( ron(X20,X23)
& ron(X19,X23)
& rline(X23) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).
fof('qu(cond(axiom(164), 0), imp(cond(axiom(164), 0)))',axiom,
! [X672,X673] :
( ( ? [X674] :
( X673 = X674
& rpoint(X674) )
& ? [X675] :
( X672 = X675
& rpoint(X675) ) )
=> rleq(v0,vf(X672,X673)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(164), 0), imp(cond(axiom(164), 0)))') ).
fof('qu(cond(axiom(75), 0), imp(cond(axiom(75), 0)))',axiom,
! [X402,X403,X404,X405] :
( ( rcenter(X405,X402)
& rcenter(X404,X402)
& X402 = X403
& rcircle(X403) )
=> X404 = X405 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(75), 0), imp(cond(axiom(75), 0)))') ).
fof('qu(cond(axiom(1), 0), imp(cond(axiom(1), 0)))',axiom,
! [X601,X602] :
( rcenter(X601,X602)
=> ? [X603,X604] :
( X602 = X604
& rcircle(X604)
& X601 = X603
& rpoint(X603) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(1), 0), imp(cond(axiom(1), 0)))') ).
fof('qu(cond(axiom(145), 0), imp(cond(axiom(145), 0)))',axiom,
! [X190,X191,X192,X193] :
( ( X192 = X193
& rreal(X193)
& X190 = X191
& rreal(X191) )
=> ( rless(X190,X192)
| X190 = X192
| rless(X192,X190) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(145), 0), imp(cond(axiom(145), 0)))') ).
fof('qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))',axiom,
! [X78,X79] :
( ( ? [X80] :
( X79 = X80
& rpoint(X80) )
& ? [X81] :
( X78 = X81
& rpoint(X81) ) )
=> ? [X82] :
( vf(X78,X79) = X82
& rreal(X82) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).
fof('qu(cond(axiom(9), 0), imp(cond(axiom(9), 0)))',axiom,
! [X586,X587] :
( ( ? [X588] :
( X587 = X588
& rpoint(X588) )
& ? [X589] :
( X586 = X589
& rpoint(X589) ) )
=> ? [X590] :
( X590 != X587
& X590 != X586
& rpoint(X590) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(9), 0), imp(cond(axiom(9), 0)))') ).
fof('qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))',axiom,
! [X89,X90,X91,X92] :
( ( X91 = X92
& rreal(X92)
& X89 = X90
& rreal(X90) )
=> vplus(X89,X91) = vplus(X91,X89) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))') ).
fof('qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))',axiom,
! [X74,X75] :
( ( ? [X76] :
( X75 = X76
& rpoint(X76) )
& ? [X77] :
( X74 = X77
& rpoint(X77) ) )
=> vf(X74,X75) = vf(X75,X74) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof('qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))',axiom,
! [X42,X43] :
( ( ? [X44] :
( X43 = X44
& rpoint(X44) )
& ? [X45] :
( X42 = X45
& rpoint(X45) ) )
=> ( vf(X42,X43) = v0
<=> X42 = X43 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
fof('qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))',axiom,
! [X400,X401] :
( rcenter(X400,X401)
=> rinside(X400,X401) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).
fof('qu(cond(axiom(47), 0), imp(cond(axiom(47), 0)))',axiom,
! [X459,X460] :
( ( X459 = X460
& rcircle(X460) )
=> ? [X461] :
( rinside(X461,X459)
& rpoint(X461) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(47), 0), imp(cond(axiom(47), 0)))') ).
fof('qu(cond(axiom(15), 0), imp(cond(axiom(15), 0)))',axiom,
! [X567,X568] :
( ( X567 = X568
& rline(X568) )
=> ? [X569] :
( ron(X569,X567)
& rpoint(X569) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(15), 0), imp(cond(axiom(15), 0)))') ).
fof('qu(cond(axiom(41), 0), imp(cond(axiom(41), 0)))',axiom,
! [X474,X475] :
( ( X474 = X475
& rcircle(X475) )
=> ? [X476] :
( ron(X476,X474)
& rpoint(X476) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(41), 0), imp(cond(axiom(41), 0)))') ).
fof('qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))',axiom,
! [X93,X94] :
( ( X93 = X94
& rreal(X94) )
=> vplus(X93,v0) = X93 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))') ).
fof('qu(cond(axiom(7), 0), imp(cond(axiom(7), 0)))',axiom,
! [X591,X592] :
( ( X591 = X592
& rpoint(X592) )
=> ? [X593] :
( X593 != X591
& rpoint(X593) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(7), 0), imp(cond(axiom(7), 0)))') ).
fof('neg(neg(296))',axiom,
~ ron(vd1201,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(296))') ).
fof('neg(neg(270))',axiom,
~ ron(vd1187,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(270))') ).
fof('qe(s1(plural(271)))',axiom,
? [X18] :
( vd1199 = X18
& rpoint(X18) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s1(plural(271)))') ).
fof('qe(s2(plural(271)))',axiom,
? [X17] :
( vd1200 = X17
& rpoint(X17) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s2(plural(271)))') ).
fof('qe(s3(plural(271)))',axiom,
? [X16] :
( vd1201 = X16
& rpoint(X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s3(plural(271)))') ).
fof('holds(307, 1243, 0)',axiom,
vangle(vd1186,vd1185,vd1201) = vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(307, 1243, 0)') ).
fof('holds(conjunct1(conjunct2(conjunct2(plural(271)))), 1208, 0)',axiom,
vangle(vd1201,vd1200,vd1199) = vangle(vd1180,vd1179,vd1178),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(conjunct2(plural(271)))), 1208, 0)') ).
fof('holds(conjunct1(conjunct2(plural(271))), 1207, 0)',axiom,
vangle(vd1199,vd1201,vd1200) = vangle(vd1178,vd1180,vd1179),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(plural(271))), 1207, 0)') ).
fof('holds(conjunct1(plural(271)), 1206, 0)',axiom,
vangle(vd1200,vd1199,vd1201) = vangle(vd1179,vd1178,vd1180),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(plural(271)), 1206, 0)') ).
fof('holds(309, 1245, 0)',axiom,
vangle(vd1179,vd1178,vd1180) = vangle(vd1200,vd1199,vd1201),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(309, 1245, 0)') ).
fof('holds(308, 1244, 0)',axiom,
vangle(vd1186,vd1185,vd1201) = vangle(vd1200,vd1199,vd1201),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(308, 1244, 0)') ).
fof('holds(292, 1231, 0)',axiom,
vangle(vd1200,vd1199,vd1201) = vangle(vd1186,vd1185,vd1187),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(292, 1231, 0)') ).
fof('holds(309, 1245, 1)',axiom,
vangle(vd1200,vd1199,vd1201) = vangle(vd1186,vd1185,vd1187),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(309, 1245, 1)') ).
fof('holds(306, 1242, 0)',axiom,
rS(vd1200,vd1187,vd1234),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(306, 1242, 0)') ).
fof('holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)',axiom,
rS(vd1201,vd1187,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)') ).
fof('holds(295, 1236, 0)',axiom,
rS(vd1187,vd1201,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(295, 1236, 0)') ).
fof('holds(310, 1246, 0)',axiom,
vangle(vd1187,vd1185,vd1201) = v0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(310, 1246, 0)') ).
fof('holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(plural(271)))))), 1211, 0)',axiom,
vf(vd1178,vd1180) = vf(vd1199,vd1201),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(plural(271)))))), 1211, 0)') ).
fof('holds(conjunct1(conjunct2(conjunct2(conjunct2(plural(271))))), 1209, 0)',axiom,
vf(vd1178,vd1179) = vf(vd1199,vd1200),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(conjunct2(conjunct2(plural(271))))), 1209, 0)') ).
fof('holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(plural(271)))))), 1210, 0)',axiom,
vf(vd1179,vd1180) = vf(vd1200,vd1201),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(plural(271)))))), 1210, 0)') ).
fof('holds(273, 1215, 0)',axiom,
vf(vd1199,vd1200) = vf(vd1185,vd1186),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(273, 1215, 0)') ).
fof('pred(s2(plural(269)), 0)',axiom,
ron(vd1186,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(269)), 0)') ).
fof('pred(272, 0)',axiom,
ron(vd1199,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(272, 0)') ).
fof('pred(s1(plural(274)), 0)',axiom,
ron(vd1199,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(274)), 0)') ).
fof('pred(conjunct1(conjunct2(comma_conjunct2(plural(271)))), 0)',axiom,
ron(vd1199,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct1(conjunct2(comma_conjunct2(plural(271)))), 0)') ).
fof('pred(s2(plural(274)), 0)',axiom,
ron(vd1200,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(274)), 0)') ).
fof('pred(s2(plural(294)), 0)',axiom,
ron(vd1201,vd1234),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(294)), 0)') ).
fof('pred(s1(plural(294)), 0)',axiom,
ron(vd1185,vd1234),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(294)), 0)') ).
fof('pred(s1(plural(269)), 0)',axiom,
ron(vd1185,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(269)), 0)') ).
fof('pred(s3(plural(274)), 0)',axiom,
ron(vd1185,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s3(plural(274)), 0)') ).
fof('pred(s1(plural(293)), 0)',axiom,
ron(vd1185,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(293)), 0)') ).
fof('pred(s2(plural(293)), 0)',axiom,
ron(vd1187,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(293)), 0)') ).
fof('pred(311, 0)',axiom,
ron(vd1187,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(311, 0)') ).
fof('pred(axiom(137), 1)',axiom,
rreal(vd684),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 1)') ).
fof('pred(axiom(5), 0)',axiom,
rpoint(vd14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(5), 0)') ).
fof('pred(294, 0)',axiom,
rline(vd1234),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(294, 0)') ).
fof('pred(269, 0)',axiom,
rline(vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(269, 0)') ).
fof('pred(293, 0)',axiom,
rline(vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(293, 0)') ).
fof('pred(axiom(137), 2)',axiom,
v0 = vd684,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof('holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)',axiom,
vd1200 = vd1186,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)') ).
fof('holds(291, 1230, 0)',axiom,
vd1199 = vd1185,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(291, 1230, 0)') ).
fof(i_0_155,plain,
! [X609,X610,X611,X612,X613,X614,X615,X616,X617,X618,X619,X620,X621,X622,X623,X624,X625,X626] :
( ( X625 = X626
& ! [X627,X628,X629] :
( ( rS(X629,X614,X625)
& ~ rR(X612,X628,X613)
& ron(X628,X625)
& vf(X609,X611) = vf(X627,X629)
& vf(X610,X611) = vf(X628,X629)
& vf(X609,X610) = vf(X627,X628)
& vangle(X627,X629,X628) = vangle(X609,X611,X610)
& vangle(X628,X627,X629) = vangle(X610,X609,X611)
& vangle(X629,X628,X627) = vangle(X611,X610,X609)
& X627 = X612
& rpoint(X629)
& rpoint(X628)
& rpoint(X627) )
=> ( vangle(X619,X620,X621) = vangle(X622,X623,X624)
& vf(X615,X616) = vf(X617,X618) ) )
& ~ ron(X614,X625)
& ron(X613,X625)
& ron(X612,X625)
& rline(X626)
& ? [X630] :
( X624 = X630
& rpoint(X630) )
& ? [X631] :
( X623 = X631
& rpoint(X631) )
& ? [X632] :
( X622 = X632
& rpoint(X632) )
& ? [X633] :
( X621 = X633
& rpoint(X633) )
& ? [X634] :
( X620 = X634
& rpoint(X634) )
& ? [X635] :
( X619 = X635
& rpoint(X635) )
& ? [X636] :
( X618 = X636
& rpoint(X636) )
& ? [X637] :
( X617 = X637
& rpoint(X637) )
& ? [X638] :
( X616 = X638
& rpoint(X638) )
& ? [X639] :
( X615 = X639
& rpoint(X639) )
& ? [X640] :
( X614 = X640
& rpoint(X640) )
& ? [X641] :
( X613 = X641
& rpoint(X641) )
& ? [X642] :
( X612 = X642
& rpoint(X642) )
& X610 != X611
& X609 != X611
& X609 != X610
& ? [X643] :
( X611 = X643
& rpoint(X643) )
& ? [X644] :
( X610 = X644
& rpoint(X644) )
& ? [X645] :
( X609 = X645
& rpoint(X645) ) )
=> ( vangle(X619,X620,X621) = vangle(X622,X623,X624)
& vf(X615,X616) = vf(X617,X618) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(204), 0), imp(cond(axiom(204), 0)))']) ).
fof(i_0_156,plain,
! [X406,X407,X408,X409,X410,X411,X412] :
( ( ~ ron(X412,X408)
& ron(X411,X408)
& ron(X410,X408)
& rcenter(X411,X407)
& rcenter(X410,X406)
& rintersect(X406,X407)
& X408 = X409
& rline(X409)
& ? [X413] :
( X407 = X413
& rcircle(X413) )
& ? [X414] :
( X406 = X414
& rcircle(X414) ) )
=> ? [X415] :
( ~ rS(X415,X412,X408)
& ron(X415,X407)
& ron(X415,X406)
& rpoint(X415) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(71), 0), imp(cond(axiom(71), 0)))']) ).
fof(i_0_157,plain,
! [X482,X483,X484,X485,X486,X487,X488,X489] :
( ( X484 = X485
& X486 = X487
& X488 = X489
& rS(X488,X484,X482)
& rpoint(X489)
& rS(X486,X484,X482)
& rpoint(X487)
& ~ ron(X484,X482)
& rpoint(X485)
& X482 = X483
& rline(X483) )
=> ? [X490] :
( X490 != X488
& X490 != X486
& X490 != X484
& rS(X490,X484,X482)
& rpoint(X490) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(37), 0), imp(cond(axiom(37), 0)))']) ).
fof(i_0_158,plain,
! [X416,X417,X418,X419,X420,X421,X422] :
( ( ~ ron(X422,X418)
& ron(X421,X418)
& ron(X420,X418)
& rcenter(X421,X417)
& rcenter(X420,X416)
& rintersect(X416,X417)
& X418 = X419
& rline(X419)
& ? [X423] :
( X417 = X423
& rcircle(X423) )
& ? [X424] :
( X416 = X424
& rcircle(X424) ) )
=> ? [X425] :
( rS(X425,X422,X418)
& ron(X425,X417)
& ron(X425,X416)
& rpoint(X425) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(69), 0), imp(cond(axiom(69), 0)))']) ).
fof(i_0_159,plain,
! [X145,X146,X147,X148,X149,X150,X151,X152] :
( ( ron(X151,X147)
& ~ ron(X151,X145)
& ~ rinside(X151,X145)
& X151 = X152
& rpoint(X152)
& ron(X149,X147)
& rinside(X149,X145)
& X149 = X150
& rpoint(X150)
& X147 = X148
& rline(X148)
& X145 = X146
& rcircle(X146) )
=> ? [X153] :
( rR(X153,X149,X151)
& ron(X153,X145)
& ron(X153,X147)
& rpoint(X153) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(61), 0), imp(cond(axiom(61), 0)))']) ).
fof(i_0_160,plain,
! [X491,X492,X493,X494,X495,X496] :
( ( X493 = X494
& X495 = X496
& rS(X495,X493,X491)
& rpoint(X496)
& ~ ron(X493,X491)
& rpoint(X494)
& X491 = X492
& rline(X492) )
=> ? [X497] :
( X497 != X495
& X497 != X493
& rS(X497,X493,X491)
& rpoint(X497) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(35), 0), imp(cond(axiom(35), 0)))']) ).
fof(i_0_161,plain,
! [X24,X25,X26,X27,X28,X29] :
( ( X28 != X29
& ~ ron(X27,X29)
& ~ ron(X27,X28)
& X24 != X26
& X24 != X25
& ron(X26,X29)
& ron(X25,X28)
& ron(X24,X29)
& ron(X24,X28)
& ? [X30] :
( X29 = X30
& rline(X30) )
& ? [X31] :
( X28 = X31
& rline(X31) )
& ? [X32] :
( X27 = X32
& rpoint(X32) )
& ? [X33] :
( X26 = X33
& rpoint(X33) )
& ? [X34] :
( X25 = X34
& rpoint(X34) )
& ? [X35] :
( X24 = X35
& rpoint(X35) ) )
=> ( vangle(X25,X24,X26) = vplus(vangle(X25,X24,X27),vangle(X27,X24,X26))
<=> ( rS(X26,X27,X28)
& rS(X25,X27,X29) ) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(190), 0), imp(cond(axiom(190), 0)))']) ).
fof(i_0_162,plain,
! [X676,X677,X678,X679,X680,X681] :
( ( ~ ron(X679,X680)
& X680 = X681
& rline(X681)
& X678 != X679
& X677 != X679
& X677 != X678
& X676 != X679
& X676 != X678
& X676 != X677
& ? [X682] :
( X679 = X682
& rpoint(X682) )
& ? [X683] :
( X678 = X683
& rpoint(X683) )
& ? [X684] :
( X677 = X684
& rpoint(X684) )
& ? [X685] :
( X676 = X685
& rpoint(X685) ) )
=> ( rR(X678,X676,X677)
<=> vplus(vg(X676,X678,X679),vg(X679,X678,X677)) = vg(X676,X679,X677) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(202), 0), imp(cond(axiom(202), 0)))']) ).
fof(i_0_163,plain,
! [X292,X293,X294,X295,X296,X297,X298] :
( ( rS(X296,X297,X294)
& rS(X297,X298,X292)
& ron(X298,X294)
& ron(X297,X294)
& ron(X296,X292)
& ron(X295,X294)
& ron(X295,X293)
& ron(X295,X292)
& ? [X299] :
( X298 = X299
& rpoint(X299) )
& ? [X300] :
( X297 = X300
& rpoint(X300) )
& ? [X301] :
( X296 = X301
& rpoint(X301) )
& ? [X302] :
( X295 = X302
& rpoint(X302) )
& ? [X303] :
( X294 = X303
& rline(X303) )
& ? [X304] :
( X293 = X304
& rline(X304) )
& ? [X305] :
( X292 = X305
& rline(X305) ) )
=> ~ rS(X296,X298,X293) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(113), 0), imp(cond(axiom(113), 0)))']) ).
fof(i_0_164,plain,
! [X278,X279,X280,X281,X282,X283,X284] :
( ( X282 != X281
& ~ ron(X284,X279)
& ~ rS(X282,X284,X279)
& rS(X283,X284,X278)
& ron(X284,X280)
& ron(X283,X279)
& ron(X282,X278)
& ron(X281,X280)
& ron(X281,X279)
& ron(X281,X278)
& ? [X285] :
( X284 = X285
& rpoint(X285) )
& ? [X286] :
( X283 = X286
& rpoint(X286) )
& ? [X287] :
( X282 = X287
& rpoint(X287) )
& ? [X288] :
( X281 = X288
& rpoint(X288) )
& ? [X289] :
( X280 = X289
& rline(X289) )
& ? [X290] :
( X279 = X290
& rline(X290) )
& ? [X291] :
( X278 = X291
& rline(X291) ) )
=> rS(X282,X283,X280) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(115), 0), imp(cond(axiom(115), 0)))']) ).
fof(i_0_165,plain,
! [X646,X647,X648,X649,X650,X651,X652] :
( ( ~ rR(X646,X648,X650)
& ~ rR(X646,X647,X649)
& X650 != X646
& X649 != X646
& X648 != X646
& X647 != X646
& ron(X650,X652)
& ron(X648,X652)
& ron(X649,X651)
& ron(X647,X651)
& ron(X646,X651)
& ? [X653] :
( X652 = X653
& rline(X653) )
& ? [X654] :
( X651 = X654
& rline(X654) )
& ? [X655] :
( X650 = X655
& rpoint(X655) )
& ? [X656] :
( X649 = X656
& rpoint(X656) )
& ? [X657] :
( X648 = X657
& rpoint(X657) )
& ? [X658] :
( X647 = X658
& rpoint(X658) )
& ? [X659] :
( X646 = X659
& rpoint(X659) ) )
=> vangle(X647,X646,X648) = vangle(X649,X646,X650) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))']) ).
fof(i_0_166,plain,
! [X686,X687,X688,X689,X690,X691] :
( ( ~ ron(X689,X690)
& rR(X688,X686,X687)
& X690 = X691
& rline(X691)
& ? [X692] :
( X689 = X692
& rpoint(X692) )
& ? [X693] :
( X688 = X693
& rpoint(X693) )
& ? [X694] :
( X687 = X694
& rpoint(X694) )
& ? [X695] :
( X686 = X695
& rpoint(X695) ) )
=> ( vangle(X686,X688,X689) = vangle(X689,X688,X687)
<=> vangle(X686,X688,X689) = vperp ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(192), 0), imp(cond(axiom(192), 0)))']) ).
fof(i_0_167,plain,
! [X223,X224,X225,X226,X227,X228,X229,X230] :
( ( ron(X228,X229)
& ron(X227,X229)
& X229 = X230
& rline(X230)
& rcenter(X228,X224)
& rcenter(X227,X223)
& X225 != X226
& ron(X226,X224)
& ron(X226,X223)
& ron(X225,X224)
& ron(X225,X223)
& ? [X231] :
( X226 = X231
& rpoint(X231) )
& ? [X232] :
( X225 = X232
& rpoint(X232) )
& rintersect(X223,X224)
& X223 != X224
& ? [X233] :
( X224 = X233
& rcircle(X233) )
& ? [X234] :
( X223 = X234
& rcircle(X234) ) )
=> ~ rS(X225,X226,X229) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(125), 0), imp(cond(axiom(125), 0)))']) ).
fof(i_0_168,plain,
! [X360,X361,X362,X363] :
( ( rR(X361,X360,X363)
& rR(X361,X360,X362)
& ? [X364] :
( X363 = X364
& rpoint(X364) )
& ? [X365] :
( X362 = X365
& rpoint(X365) )
& ? [X366] :
( X361 = X366
& rpoint(X366) )
& ? [X367] :
( X360 = X367
& rpoint(X367) ) )
=> ~ rR(X361,X362,X363) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(93), 0), imp(cond(axiom(93), 0)))']) ).
fof(i_0_169,plain,
! [X477,X478,X479,X480] :
( ( X479 = X480
& ~ ron(X479,X477)
& rpoint(X480)
& X477 = X478
& rline(X478) )
=> ? [X481] :
( ~ rS(X481,X479,X477)
& rpoint(X481) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(39), 0), imp(cond(axiom(39), 0)))']) ).
fof(i_0_170,plain,
! [X1,X2,X3,X4,X5,X6,X7,X8] :
( ( ron(X3,X7)
& ron(X1,X7)
& X1 != X5
& X1 != X3
& X7 = X8
& rline(X8)
& X5 = X6
& rpoint(X6)
& X3 = X4
& rpoint(X4)
& X1 = X2
& rpoint(X2) )
=> ( ( ~ rR(X1,X3,X5)
& ron(X5,X7) )
<=> vangle(X3,X1,X5) = v0 ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))']) ).
fof(i_0_171,plain,
! [X306,X307,X308,X309,X310] :
( ( ron(X307,X309)
& ron(X307,X310)
& ~ rS(X306,X308,X309)
& ron(X308,X310)
& ron(X306,X310)
& X309 != X310
& ? [X311] :
( X310 = X311
& rline(X311) )
& ? [X312] :
( X309 = X312
& rline(X312) )
& X307 != X308
& X306 != X308
& X306 != X307
& ? [X313] :
( X308 = X313
& rpoint(X313) )
& ? [X314] :
( X307 = X314
& rpoint(X314) )
& ? [X315] :
( X306 = X315
& rpoint(X315) ) )
=> rR(X307,X306,X308) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(111), 0), imp(cond(axiom(111), 0)))']) ).
fof(i_0_172,plain,
! [X340,X341,X342,X343,X344] :
( ( ~ rS(X340,X341,X343)
& ~ ron(X342,X343)
& ~ ron(X341,X343)
& ~ ron(X340,X343)
& X343 = X344
& rline(X344)
& ? [X345] :
( X342 = X345
& rpoint(X345) )
& ? [X346] :
( X341 = X346
& rpoint(X346) )
& ? [X347] :
( X340 = X347
& rpoint(X347) ) )
=> ( rS(X340,X342,X343)
| rS(X341,X342,X343) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(103), 0), imp(cond(axiom(103), 0)))']) ).
fof(i_0_173,plain,
! [X316,X317,X318,X319,X320] :
( ( ron(X317,X319)
& rR(X317,X316,X318)
& X319 = X320
& rline(X320)
& ? [X321] :
( X318 = X321
& rpoint(X321) )
& ? [X322] :
( X317 = X322
& rpoint(X322) )
& ? [X323] :
( X316 = X323
& rpoint(X323) ) )
=> ~ rS(X316,X318,X319) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(109), 0), imp(cond(axiom(109), 0)))']) ).
fof(i_0_174,plain,
! [X324,X325,X326,X327,X328] :
( ( ~ ron(X325,X327)
& ron(X324,X327)
& rR(X325,X324,X326)
& X327 = X328
& rline(X328)
& ? [X329] :
( X326 = X329
& rpoint(X329) )
& ? [X330] :
( X325 = X330
& rpoint(X330) )
& ? [X331] :
( X324 = X331
& rpoint(X331) ) )
=> rS(X325,X326,X327) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(107), 0), imp(cond(axiom(107), 0)))']) ).
fof(i_0_175,plain,
! [X129,X130,X131] :
( ( rR(X130,X129,X131)
& ? [X132] :
( X131 = X132
& rpoint(X132) )
& ? [X133] :
( X130 = X133
& rpoint(X133) )
& ? [X134] :
( X129 = X134
& rpoint(X134) ) )
=> ( ~ rR(X129,X130,X131)
& X129 != X131
& X129 != X130
& rR(X130,X131,X129) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))']) ).
fof(i_0_176,plain,
! [X498,X499,X500,X501] :
( ( X500 = X501
& ~ ron(X500,X498)
& rpoint(X501)
& X498 = X499
& rline(X499) )
=> ? [X502] :
( X502 != X500
& rS(X502,X500,X498)
& rpoint(X502) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(33), 0), imp(cond(axiom(33), 0)))']) ).
fof(i_0_177,plain,
! [X235,X236,X237,X238,X239] :
( ( rR(X237,X235,X236)
& ~ rinside(X237,X238)
& ( ron(X235,X238)
| rinside(X235,X238) )
& X238 = X239
& rcircle(X239)
& ? [X240] :
( X237 = X240
& rpoint(X240) )
& ? [X241] :
( X236 = X241
& rpoint(X241) )
& ? [X242] :
( X235 = X242
& rpoint(X242) ) )
=> ~ ron(X236,X238) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(123), 0), imp(cond(axiom(123), 0)))']) ).
fof(i_0_178,plain,
! [X215,X216,X217,X218,X219,X220] :
( ( X217 = X218
& X219 = X220
& ron(X216,X219)
& ron(X215,X219)
& rline(X220)
& ~ rS(X215,X216,X217)
& rline(X218)
& ? [X221] :
( X216 = X221
& rpoint(X221) )
& ? [X222] :
( X215 = X222
& rpoint(X222) ) )
=> rintersect(X217,X219) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(127), 0), imp(cond(axiom(127), 0)))']) ).
fof(i_0_179,plain,
! [X121,X122,X123,X124] :
( ( ~ rinside(X122,X124)
& ~ ron(X122,X124)
& rinside(X121,X124)
& ( ron(X122,X123)
| rinside(X122,X123) )
& ron(X121,X123)
& ? [X125] :
( X124 = X125
& rcircle(X125) )
& ? [X126] :
( X123 = X126
& rcircle(X126) )
& ? [X127] :
( X122 = X127
& rpoint(X127) )
& ? [X128] :
( X121 = X128
& rpoint(X128) ) )
=> rintersect(X123,X124) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(133), 0), imp(cond(axiom(133), 0)))']) ).
fof(i_0_180,plain,
! [X95,X96,X97,X98] :
( ( rS(X95,X96,X97)
& X97 = X98
& rline(X98)
& ? [X99] :
( X96 = X99
& rpoint(X99) )
& ? [X100] :
( X95 = X100
& rpoint(X100) ) )
=> ~ ron(X95,X97) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))']) ).
fof(i_0_181,plain,
! [X356,X357,X358,X359] :
( ( ~ ron(X356,X358)
& X358 = X359
& rline(X359)
& X356 = X357
& rpoint(X357) )
=> rS(X356,X356,X358) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(95), 0), imp(cond(axiom(95), 0)))']) ).
fof(i_0_182,plain,
( vd1199 != vd1185
=> ~ rR(vd1199,vd1185,vd1186) ),
inference(fof_simplification,[status(thm)],['ass(cond(conseq(271), 3), 2)']) ).
fof(i_0_183,plain,
( vd1199 != vd1185
=> ~ rR(vd1185,vd1199,vd1186) ),
inference(fof_simplification,[status(thm)],['ass(cond(conseq(271), 3), 1)']) ).
fof(i_0_184,plain,
! [X186,X187,X188,X189] :
( ( rless(X186,X188)
& X188 = X189
& rreal(X189)
& X186 = X187
& rreal(X187) )
=> ( ~ rless(X188,X186)
| X186 = X188 ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(147), 0), imp(cond(axiom(147), 0)))']) ).
fof(i_0_185,plain,
! [X135,X136,X137,X138] :
( ( rinside(X135,X137)
& X137 = X138
& rcircle(X138)
& X135 = X136
& rpoint(X136) )
=> ~ ron(X135,X137) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))']) ).
fof(i_0_186,plain,
! [X456,X457] :
( ( X456 = X457
& rcircle(X457) )
=> ? [X458] :
( ~ ron(X458,X456)
& ~ rinside(X458,X456)
& rpoint(X458) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(49), 0), imp(cond(axiom(49), 0)))']) ).
fof(i_0_187,plain,
! [X184,X185] :
( ( X184 = X185
& rreal(X185) )
=> ~ rless(X184,X184) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))']) ).
fof(i_0_188,plain,
! [X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194,X2198,X2199,X2200,X2201,X2202,X2203,X2204,X2205,X2206,X2207,X2208,X2209,X2210,X2211,X2212,X2213] :
( ( vangle(X2187,X2188,X2189) = vangle(X2190,X2191,X2192)
| rS(esk56_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194),X2182,X2193)
| X2193 != X2194
| ron(X2182,X2193)
| ~ ron(X2181,X2193)
| ~ ron(X2180,X2193)
| ~ rline(X2194)
| X2192 != X2198
| ~ rpoint(X2198)
| X2191 != X2199
| ~ rpoint(X2199)
| X2190 != X2200
| ~ rpoint(X2200)
| X2189 != X2201
| ~ rpoint(X2201)
| X2188 != X2202
| ~ rpoint(X2202)
| X2187 != X2203
| ~ rpoint(X2203)
| X2186 != X2204
| ~ rpoint(X2204)
| X2185 != X2205
| ~ rpoint(X2205)
| X2184 != X2206
| ~ rpoint(X2206)
| X2183 != X2207
| ~ rpoint(X2207)
| X2182 != X2208
| ~ rpoint(X2208)
| X2181 != X2209
| ~ rpoint(X2209)
| X2180 != X2210
| ~ rpoint(X2210)
| X2178 = X2179
| X2177 = X2179
| X2177 = X2178
| X2179 != X2211
| ~ rpoint(X2211)
| X2178 != X2212
| ~ rpoint(X2212)
| X2177 != X2213
| ~ rpoint(X2213) )
& ( vf(X2183,X2184) = vf(X2185,X2186)
| rS(esk56_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194),X2182,X2193)
| X2193 != X2194
| ron(X2182,X2193)
| ~ ron(X2181,X2193)
| ~ ron(X2180,X2193)
| ~ rline(X2194)
| X2192 != X2198
| ~ rpoint(X2198)
| X2191 != X2199
| ~ rpoint(X2199)
| X2190 != X2200
| ~ rpoint(X2200)
| X2189 != X2201
| ~ rpoint(X2201)
| X2188 != X2202
| ~ rpoint(X2202)
| X2187 != X2203
| ~ rpoint(X2203)
| X2186 != X2204
| ~ rpoint(X2204)
| X2185 != X2205
| ~ rpoint(X2205)
| X2184 != X2206
| ~ rpoint(X2206)
| X2183 != X2207
| ~ rpoint(X2207)
| X2182 != X2208
| ~ rpoint(X2208)
| X2181 != X2209
| ~ rpoint(X2209)
| X2180 != X2210
| ~ rpoint(X2210)
| X2178 = X2179
| X2177 = X2179
| X2177 = X2178
| X2179 != X2211
| ~ rpoint(X2211)
| X2178 != X2212
| ~ rpoint(X2212)
| X2177 != X2213
| ~ rpoint(X2213) )
& ( vangle(X2187,X2188,X2189) = vangle(X2190,X2191,X2192)
| ~ rR(X2180,esk55_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194),X2181)
| X2193 != X2194
| ron(X2182,X2193)
| ~ ron(X2181,X2193)
| ~ ron(X2180,X2193)
| ~ rline(X2194)
| X2192 != X2198
| ~ rpoint(X2198)
| X2191 != X2199
| ~ rpoint(X2199)
| X2190 != X2200
| ~ rpoint(X2200)
| X2189 != X2201
| ~ rpoint(X2201)
| X2188 != X2202
| ~ rpoint(X2202)
| X2187 != X2203
| ~ rpoint(X2203)
| X2186 != X2204
| ~ rpoint(X2204)
| X2185 != X2205
| ~ rpoint(X2205)
| X2184 != X2206
| ~ rpoint(X2206)
| X2183 != X2207
| ~ rpoint(X2207)
| X2182 != X2208
| ~ rpoint(X2208)
| X2181 != X2209
| ~ rpoint(X2209)
| X2180 != X2210
| ~ rpoint(X2210)
| X2178 = X2179
| X2177 = X2179
| X2177 = X2178
| X2179 != X2211
| ~ rpoint(X2211)
| X2178 != X2212
| ~ rpoint(X2212)
| X2177 != X2213
| ~ rpoint(X2213) )
& ( vf(X2183,X2184) = vf(X2185,X2186)
| ~ rR(X2180,esk55_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194),X2181)
| X2193 != X2194
| ron(X2182,X2193)
| ~ ron(X2181,X2193)
| ~ ron(X2180,X2193)
| ~ rline(X2194)
| X2192 != X2198
| ~ rpoint(X2198)
| X2191 != X2199
| ~ rpoint(X2199)
| X2190 != X2200
| ~ rpoint(X2200)
| X2189 != X2201
| ~ rpoint(X2201)
| X2188 != X2202
| ~ rpoint(X2202)
| X2187 != X2203
| ~ rpoint(X2203)
| X2186 != X2204
| ~ rpoint(X2204)
| X2185 != X2205
| ~ rpoint(X2205)
| X2184 != X2206
| ~ rpoint(X2206)
| X2183 != X2207
| ~ rpoint(X2207)
| X2182 != X2208
| ~ rpoint(X2208)
| X2181 != X2209
| ~ rpoint(X2209)
| X2180 != X2210
| ~ rpoint(X2210)
| X2178 = X2179
| X2177 = X2179
| X2177 = X2178
| X2179 != X2211
| ~ rpoint(X2211)
| X2178 != X2212
| ~ rpoint(X2212)
| X2177 != X2213
| ~ rpoint(X2213) )
& ( vangle(X2187,X2188,X2189) = vangle(X2190,X2191,X2192)
| ron(esk55_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194),X2193)
| X2193 != X2194
| ron(X2182,X2193)
| ~ ron(X2181,X2193)
| ~ ron(X2180,X2193)
| ~ rline(X2194)
| X2192 != X2198
| ~ rpoint(X2198)
| X2191 != X2199
| ~ rpoint(X2199)
| X2190 != X2200
| ~ rpoint(X2200)
| X2189 != X2201
| ~ rpoint(X2201)
| X2188 != X2202
| ~ rpoint(X2202)
| X2187 != X2203
| ~ rpoint(X2203)
| X2186 != X2204
| ~ rpoint(X2204)
| X2185 != X2205
| ~ rpoint(X2205)
| X2184 != X2206
| ~ rpoint(X2206)
| X2183 != X2207
| ~ rpoint(X2207)
| X2182 != X2208
| ~ rpoint(X2208)
| X2181 != X2209
| ~ rpoint(X2209)
| X2180 != X2210
| ~ rpoint(X2210)
| X2178 = X2179
| X2177 = X2179
| X2177 = X2178
| X2179 != X2211
| ~ rpoint(X2211)
| X2178 != X2212
| ~ rpoint(X2212)
| X2177 != X2213
| ~ rpoint(X2213) )
& ( vf(X2183,X2184) = vf(X2185,X2186)
| ron(esk55_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194),X2193)
| X2193 != X2194
| ron(X2182,X2193)
| ~ ron(X2181,X2193)
| ~ ron(X2180,X2193)
| ~ rline(X2194)
| X2192 != X2198
| ~ rpoint(X2198)
| X2191 != X2199
| ~ rpoint(X2199)
| X2190 != X2200
| ~ rpoint(X2200)
| X2189 != X2201
| ~ rpoint(X2201)
| X2188 != X2202
| ~ rpoint(X2202)
| X2187 != X2203
| ~ rpoint(X2203)
| X2186 != X2204
| ~ rpoint(X2204)
| X2185 != X2205
| ~ rpoint(X2205)
| X2184 != X2206
| ~ rpoint(X2206)
| X2183 != X2207
| ~ rpoint(X2207)
| X2182 != X2208
| ~ rpoint(X2208)
| X2181 != X2209
| ~ rpoint(X2209)
| X2180 != X2210
| ~ rpoint(X2210)
| X2178 = X2179
| X2177 = X2179
| X2177 = X2178
| X2179 != X2211
| ~ rpoint(X2211)
| X2178 != X2212
| ~ rpoint(X2212)
| X2177 != X2213
| ~ rpoint(X2213) )
& ( vangle(X2187,X2188,X2189) = vangle(X2190,X2191,X2192)
| vf(X2177,X2179) = vf(esk54_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194),esk56_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194))
| X2193 != X2194
| ron(X2182,X2193)
| ~ ron(X2181,X2193)
| ~ ron(X2180,X2193)
| ~ rline(X2194)
| X2192 != X2198
| ~ rpoint(X2198)
| X2191 != X2199
| ~ rpoint(X2199)
| X2190 != X2200
| ~ rpoint(X2200)
| X2189 != X2201
| ~ rpoint(X2201)
| X2188 != X2202
| ~ rpoint(X2202)
| X2187 != X2203
| ~ rpoint(X2203)
| X2186 != X2204
| ~ rpoint(X2204)
| X2185 != X2205
| ~ rpoint(X2205)
| X2184 != X2206
| ~ rpoint(X2206)
| X2183 != X2207
| ~ rpoint(X2207)
| X2182 != X2208
| ~ rpoint(X2208)
| X2181 != X2209
| ~ rpoint(X2209)
| X2180 != X2210
| ~ rpoint(X2210)
| X2178 = X2179
| X2177 = X2179
| X2177 = X2178
| X2179 != X2211
| ~ rpoint(X2211)
| X2178 != X2212
| ~ rpoint(X2212)
| X2177 != X2213
| ~ rpoint(X2213) )
& ( vf(X2183,X2184) = vf(X2185,X2186)
| vf(X2177,X2179) = vf(esk54_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194),esk56_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194))
| X2193 != X2194
| ron(X2182,X2193)
| ~ ron(X2181,X2193)
| ~ ron(X2180,X2193)
| ~ rline(X2194)
| X2192 != X2198
| ~ rpoint(X2198)
| X2191 != X2199
| ~ rpoint(X2199)
| X2190 != X2200
| ~ rpoint(X2200)
| X2189 != X2201
| ~ rpoint(X2201)
| X2188 != X2202
| ~ rpoint(X2202)
| X2187 != X2203
| ~ rpoint(X2203)
| X2186 != X2204
| ~ rpoint(X2204)
| X2185 != X2205
| ~ rpoint(X2205)
| X2184 != X2206
| ~ rpoint(X2206)
| X2183 != X2207
| ~ rpoint(X2207)
| X2182 != X2208
| ~ rpoint(X2208)
| X2181 != X2209
| ~ rpoint(X2209)
| X2180 != X2210
| ~ rpoint(X2210)
| X2178 = X2179
| X2177 = X2179
| X2177 = X2178
| X2179 != X2211
| ~ rpoint(X2211)
| X2178 != X2212
| ~ rpoint(X2212)
| X2177 != X2213
| ~ rpoint(X2213) )
& ( vangle(X2187,X2188,X2189) = vangle(X2190,X2191,X2192)
| vf(X2178,X2179) = vf(esk55_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194),esk56_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194))
| X2193 != X2194
| ron(X2182,X2193)
| ~ ron(X2181,X2193)
| ~ ron(X2180,X2193)
| ~ rline(X2194)
| X2192 != X2198
| ~ rpoint(X2198)
| X2191 != X2199
| ~ rpoint(X2199)
| X2190 != X2200
| ~ rpoint(X2200)
| X2189 != X2201
| ~ rpoint(X2201)
| X2188 != X2202
| ~ rpoint(X2202)
| X2187 != X2203
| ~ rpoint(X2203)
| X2186 != X2204
| ~ rpoint(X2204)
| X2185 != X2205
| ~ rpoint(X2205)
| X2184 != X2206
| ~ rpoint(X2206)
| X2183 != X2207
| ~ rpoint(X2207)
| X2182 != X2208
| ~ rpoint(X2208)
| X2181 != X2209
| ~ rpoint(X2209)
| X2180 != X2210
| ~ rpoint(X2210)
| X2178 = X2179
| X2177 = X2179
| X2177 = X2178
| X2179 != X2211
| ~ rpoint(X2211)
| X2178 != X2212
| ~ rpoint(X2212)
| X2177 != X2213
| ~ rpoint(X2213) )
& ( vf(X2183,X2184) = vf(X2185,X2186)
| vf(X2178,X2179) = vf(esk55_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194),esk56_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194))
| X2193 != X2194
| ron(X2182,X2193)
| ~ ron(X2181,X2193)
| ~ ron(X2180,X2193)
| ~ rline(X2194)
| X2192 != X2198
| ~ rpoint(X2198)
| X2191 != X2199
| ~ rpoint(X2199)
| X2190 != X2200
| ~ rpoint(X2200)
| X2189 != X2201
| ~ rpoint(X2201)
| X2188 != X2202
| ~ rpoint(X2202)
| X2187 != X2203
| ~ rpoint(X2203)
| X2186 != X2204
| ~ rpoint(X2204)
| X2185 != X2205
| ~ rpoint(X2205)
| X2184 != X2206
| ~ rpoint(X2206)
| X2183 != X2207
| ~ rpoint(X2207)
| X2182 != X2208
| ~ rpoint(X2208)
| X2181 != X2209
| ~ rpoint(X2209)
| X2180 != X2210
| ~ rpoint(X2210)
| X2178 = X2179
| X2177 = X2179
| X2177 = X2178
| X2179 != X2211
| ~ rpoint(X2211)
| X2178 != X2212
| ~ rpoint(X2212)
| X2177 != X2213
| ~ rpoint(X2213) )
& ( vangle(X2187,X2188,X2189) = vangle(X2190,X2191,X2192)
| vf(X2177,X2178) = vf(esk54_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194),esk55_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194))
| X2193 != X2194
| ron(X2182,X2193)
| ~ ron(X2181,X2193)
| ~ ron(X2180,X2193)
| ~ rline(X2194)
| X2192 != X2198
| ~ rpoint(X2198)
| X2191 != X2199
| ~ rpoint(X2199)
| X2190 != X2200
| ~ rpoint(X2200)
| X2189 != X2201
| ~ rpoint(X2201)
| X2188 != X2202
| ~ rpoint(X2202)
| X2187 != X2203
| ~ rpoint(X2203)
| X2186 != X2204
| ~ rpoint(X2204)
| X2185 != X2205
| ~ rpoint(X2205)
| X2184 != X2206
| ~ rpoint(X2206)
| X2183 != X2207
| ~ rpoint(X2207)
| X2182 != X2208
| ~ rpoint(X2208)
| X2181 != X2209
| ~ rpoint(X2209)
| X2180 != X2210
| ~ rpoint(X2210)
| X2178 = X2179
| X2177 = X2179
| X2177 = X2178
| X2179 != X2211
| ~ rpoint(X2211)
| X2178 != X2212
| ~ rpoint(X2212)
| X2177 != X2213
| ~ rpoint(X2213) )
& ( vf(X2183,X2184) = vf(X2185,X2186)
| vf(X2177,X2178) = vf(esk54_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194),esk55_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194))
| X2193 != X2194
| ron(X2182,X2193)
| ~ ron(X2181,X2193)
| ~ ron(X2180,X2193)
| ~ rline(X2194)
| X2192 != X2198
| ~ rpoint(X2198)
| X2191 != X2199
| ~ rpoint(X2199)
| X2190 != X2200
| ~ rpoint(X2200)
| X2189 != X2201
| ~ rpoint(X2201)
| X2188 != X2202
| ~ rpoint(X2202)
| X2187 != X2203
| ~ rpoint(X2203)
| X2186 != X2204
| ~ rpoint(X2204)
| X2185 != X2205
| ~ rpoint(X2205)
| X2184 != X2206
| ~ rpoint(X2206)
| X2183 != X2207
| ~ rpoint(X2207)
| X2182 != X2208
| ~ rpoint(X2208)
| X2181 != X2209
| ~ rpoint(X2209)
| X2180 != X2210
| ~ rpoint(X2210)
| X2178 = X2179
| X2177 = X2179
| X2177 = X2178
| X2179 != X2211
| ~ rpoint(X2211)
| X2178 != X2212
| ~ rpoint(X2212)
| X2177 != X2213
| ~ rpoint(X2213) )
& ( vangle(X2187,X2188,X2189) = vangle(X2190,X2191,X2192)
| vangle(esk54_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194),esk56_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194),esk55_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194)) = vangle(X2177,X2179,X2178)
| X2193 != X2194
| ron(X2182,X2193)
| ~ ron(X2181,X2193)
| ~ ron(X2180,X2193)
| ~ rline(X2194)
| X2192 != X2198
| ~ rpoint(X2198)
| X2191 != X2199
| ~ rpoint(X2199)
| X2190 != X2200
| ~ rpoint(X2200)
| X2189 != X2201
| ~ rpoint(X2201)
| X2188 != X2202
| ~ rpoint(X2202)
| X2187 != X2203
| ~ rpoint(X2203)
| X2186 != X2204
| ~ rpoint(X2204)
| X2185 != X2205
| ~ rpoint(X2205)
| X2184 != X2206
| ~ rpoint(X2206)
| X2183 != X2207
| ~ rpoint(X2207)
| X2182 != X2208
| ~ rpoint(X2208)
| X2181 != X2209
| ~ rpoint(X2209)
| X2180 != X2210
| ~ rpoint(X2210)
| X2178 = X2179
| X2177 = X2179
| X2177 = X2178
| X2179 != X2211
| ~ rpoint(X2211)
| X2178 != X2212
| ~ rpoint(X2212)
| X2177 != X2213
| ~ rpoint(X2213) )
& ( vf(X2183,X2184) = vf(X2185,X2186)
| vangle(esk54_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194),esk56_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194),esk55_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194)) = vangle(X2177,X2179,X2178)
| X2193 != X2194
| ron(X2182,X2193)
| ~ ron(X2181,X2193)
| ~ ron(X2180,X2193)
| ~ rline(X2194)
| X2192 != X2198
| ~ rpoint(X2198)
| X2191 != X2199
| ~ rpoint(X2199)
| X2190 != X2200
| ~ rpoint(X2200)
| X2189 != X2201
| ~ rpoint(X2201)
| X2188 != X2202
| ~ rpoint(X2202)
| X2187 != X2203
| ~ rpoint(X2203)
| X2186 != X2204
| ~ rpoint(X2204)
| X2185 != X2205
| ~ rpoint(X2205)
| X2184 != X2206
| ~ rpoint(X2206)
| X2183 != X2207
| ~ rpoint(X2207)
| X2182 != X2208
| ~ rpoint(X2208)
| X2181 != X2209
| ~ rpoint(X2209)
| X2180 != X2210
| ~ rpoint(X2210)
| X2178 = X2179
| X2177 = X2179
| X2177 = X2178
| X2179 != X2211
| ~ rpoint(X2211)
| X2178 != X2212
| ~ rpoint(X2212)
| X2177 != X2213
| ~ rpoint(X2213) )
& ( vangle(X2187,X2188,X2189) = vangle(X2190,X2191,X2192)
| vangle(esk55_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194),esk54_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194),esk56_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194)) = vangle(X2178,X2177,X2179)
| X2193 != X2194
| ron(X2182,X2193)
| ~ ron(X2181,X2193)
| ~ ron(X2180,X2193)
| ~ rline(X2194)
| X2192 != X2198
| ~ rpoint(X2198)
| X2191 != X2199
| ~ rpoint(X2199)
| X2190 != X2200
| ~ rpoint(X2200)
| X2189 != X2201
| ~ rpoint(X2201)
| X2188 != X2202
| ~ rpoint(X2202)
| X2187 != X2203
| ~ rpoint(X2203)
| X2186 != X2204
| ~ rpoint(X2204)
| X2185 != X2205
| ~ rpoint(X2205)
| X2184 != X2206
| ~ rpoint(X2206)
| X2183 != X2207
| ~ rpoint(X2207)
| X2182 != X2208
| ~ rpoint(X2208)
| X2181 != X2209
| ~ rpoint(X2209)
| X2180 != X2210
| ~ rpoint(X2210)
| X2178 = X2179
| X2177 = X2179
| X2177 = X2178
| X2179 != X2211
| ~ rpoint(X2211)
| X2178 != X2212
| ~ rpoint(X2212)
| X2177 != X2213
| ~ rpoint(X2213) )
& ( vf(X2183,X2184) = vf(X2185,X2186)
| vangle(esk55_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194),esk54_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194),esk56_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194)) = vangle(X2178,X2177,X2179)
| X2193 != X2194
| ron(X2182,X2193)
| ~ ron(X2181,X2193)
| ~ ron(X2180,X2193)
| ~ rline(X2194)
| X2192 != X2198
| ~ rpoint(X2198)
| X2191 != X2199
| ~ rpoint(X2199)
| X2190 != X2200
| ~ rpoint(X2200)
| X2189 != X2201
| ~ rpoint(X2201)
| X2188 != X2202
| ~ rpoint(X2202)
| X2187 != X2203
| ~ rpoint(X2203)
| X2186 != X2204
| ~ rpoint(X2204)
| X2185 != X2205
| ~ rpoint(X2205)
| X2184 != X2206
| ~ rpoint(X2206)
| X2183 != X2207
| ~ rpoint(X2207)
| X2182 != X2208
| ~ rpoint(X2208)
| X2181 != X2209
| ~ rpoint(X2209)
| X2180 != X2210
| ~ rpoint(X2210)
| X2178 = X2179
| X2177 = X2179
| X2177 = X2178
| X2179 != X2211
| ~ rpoint(X2211)
| X2178 != X2212
| ~ rpoint(X2212)
| X2177 != X2213
| ~ rpoint(X2213) )
& ( vangle(X2187,X2188,X2189) = vangle(X2190,X2191,X2192)
| vangle(esk56_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194),esk55_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194),esk54_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194)) = vangle(X2179,X2178,X2177)
| X2193 != X2194
| ron(X2182,X2193)
| ~ ron(X2181,X2193)
| ~ ron(X2180,X2193)
| ~ rline(X2194)
| X2192 != X2198
| ~ rpoint(X2198)
| X2191 != X2199
| ~ rpoint(X2199)
| X2190 != X2200
| ~ rpoint(X2200)
| X2189 != X2201
| ~ rpoint(X2201)
| X2188 != X2202
| ~ rpoint(X2202)
| X2187 != X2203
| ~ rpoint(X2203)
| X2186 != X2204
| ~ rpoint(X2204)
| X2185 != X2205
| ~ rpoint(X2205)
| X2184 != X2206
| ~ rpoint(X2206)
| X2183 != X2207
| ~ rpoint(X2207)
| X2182 != X2208
| ~ rpoint(X2208)
| X2181 != X2209
| ~ rpoint(X2209)
| X2180 != X2210
| ~ rpoint(X2210)
| X2178 = X2179
| X2177 = X2179
| X2177 = X2178
| X2179 != X2211
| ~ rpoint(X2211)
| X2178 != X2212
| ~ rpoint(X2212)
| X2177 != X2213
| ~ rpoint(X2213) )
& ( vf(X2183,X2184) = vf(X2185,X2186)
| vangle(esk56_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194),esk55_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194),esk54_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194)) = vangle(X2179,X2178,X2177)
| X2193 != X2194
| ron(X2182,X2193)
| ~ ron(X2181,X2193)
| ~ ron(X2180,X2193)
| ~ rline(X2194)
| X2192 != X2198
| ~ rpoint(X2198)
| X2191 != X2199
| ~ rpoint(X2199)
| X2190 != X2200
| ~ rpoint(X2200)
| X2189 != X2201
| ~ rpoint(X2201)
| X2188 != X2202
| ~ rpoint(X2202)
| X2187 != X2203
| ~ rpoint(X2203)
| X2186 != X2204
| ~ rpoint(X2204)
| X2185 != X2205
| ~ rpoint(X2205)
| X2184 != X2206
| ~ rpoint(X2206)
| X2183 != X2207
| ~ rpoint(X2207)
| X2182 != X2208
| ~ rpoint(X2208)
| X2181 != X2209
| ~ rpoint(X2209)
| X2180 != X2210
| ~ rpoint(X2210)
| X2178 = X2179
| X2177 = X2179
| X2177 = X2178
| X2179 != X2211
| ~ rpoint(X2211)
| X2178 != X2212
| ~ rpoint(X2212)
| X2177 != X2213
| ~ rpoint(X2213) )
& ( vangle(X2187,X2188,X2189) = vangle(X2190,X2191,X2192)
| esk54_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194) = X2180
| X2193 != X2194
| ron(X2182,X2193)
| ~ ron(X2181,X2193)
| ~ ron(X2180,X2193)
| ~ rline(X2194)
| X2192 != X2198
| ~ rpoint(X2198)
| X2191 != X2199
| ~ rpoint(X2199)
| X2190 != X2200
| ~ rpoint(X2200)
| X2189 != X2201
| ~ rpoint(X2201)
| X2188 != X2202
| ~ rpoint(X2202)
| X2187 != X2203
| ~ rpoint(X2203)
| X2186 != X2204
| ~ rpoint(X2204)
| X2185 != X2205
| ~ rpoint(X2205)
| X2184 != X2206
| ~ rpoint(X2206)
| X2183 != X2207
| ~ rpoint(X2207)
| X2182 != X2208
| ~ rpoint(X2208)
| X2181 != X2209
| ~ rpoint(X2209)
| X2180 != X2210
| ~ rpoint(X2210)
| X2178 = X2179
| X2177 = X2179
| X2177 = X2178
| X2179 != X2211
| ~ rpoint(X2211)
| X2178 != X2212
| ~ rpoint(X2212)
| X2177 != X2213
| ~ rpoint(X2213) )
& ( vf(X2183,X2184) = vf(X2185,X2186)
| esk54_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194) = X2180
| X2193 != X2194
| ron(X2182,X2193)
| ~ ron(X2181,X2193)
| ~ ron(X2180,X2193)
| ~ rline(X2194)
| X2192 != X2198
| ~ rpoint(X2198)
| X2191 != X2199
| ~ rpoint(X2199)
| X2190 != X2200
| ~ rpoint(X2200)
| X2189 != X2201
| ~ rpoint(X2201)
| X2188 != X2202
| ~ rpoint(X2202)
| X2187 != X2203
| ~ rpoint(X2203)
| X2186 != X2204
| ~ rpoint(X2204)
| X2185 != X2205
| ~ rpoint(X2205)
| X2184 != X2206
| ~ rpoint(X2206)
| X2183 != X2207
| ~ rpoint(X2207)
| X2182 != X2208
| ~ rpoint(X2208)
| X2181 != X2209
| ~ rpoint(X2209)
| X2180 != X2210
| ~ rpoint(X2210)
| X2178 = X2179
| X2177 = X2179
| X2177 = X2178
| X2179 != X2211
| ~ rpoint(X2211)
| X2178 != X2212
| ~ rpoint(X2212)
| X2177 != X2213
| ~ rpoint(X2213) )
& ( vangle(X2187,X2188,X2189) = vangle(X2190,X2191,X2192)
| rpoint(esk56_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194))
| X2193 != X2194
| ron(X2182,X2193)
| ~ ron(X2181,X2193)
| ~ ron(X2180,X2193)
| ~ rline(X2194)
| X2192 != X2198
| ~ rpoint(X2198)
| X2191 != X2199
| ~ rpoint(X2199)
| X2190 != X2200
| ~ rpoint(X2200)
| X2189 != X2201
| ~ rpoint(X2201)
| X2188 != X2202
| ~ rpoint(X2202)
| X2187 != X2203
| ~ rpoint(X2203)
| X2186 != X2204
| ~ rpoint(X2204)
| X2185 != X2205
| ~ rpoint(X2205)
| X2184 != X2206
| ~ rpoint(X2206)
| X2183 != X2207
| ~ rpoint(X2207)
| X2182 != X2208
| ~ rpoint(X2208)
| X2181 != X2209
| ~ rpoint(X2209)
| X2180 != X2210
| ~ rpoint(X2210)
| X2178 = X2179
| X2177 = X2179
| X2177 = X2178
| X2179 != X2211
| ~ rpoint(X2211)
| X2178 != X2212
| ~ rpoint(X2212)
| X2177 != X2213
| ~ rpoint(X2213) )
& ( vf(X2183,X2184) = vf(X2185,X2186)
| rpoint(esk56_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194))
| X2193 != X2194
| ron(X2182,X2193)
| ~ ron(X2181,X2193)
| ~ ron(X2180,X2193)
| ~ rline(X2194)
| X2192 != X2198
| ~ rpoint(X2198)
| X2191 != X2199
| ~ rpoint(X2199)
| X2190 != X2200
| ~ rpoint(X2200)
| X2189 != X2201
| ~ rpoint(X2201)
| X2188 != X2202
| ~ rpoint(X2202)
| X2187 != X2203
| ~ rpoint(X2203)
| X2186 != X2204
| ~ rpoint(X2204)
| X2185 != X2205
| ~ rpoint(X2205)
| X2184 != X2206
| ~ rpoint(X2206)
| X2183 != X2207
| ~ rpoint(X2207)
| X2182 != X2208
| ~ rpoint(X2208)
| X2181 != X2209
| ~ rpoint(X2209)
| X2180 != X2210
| ~ rpoint(X2210)
| X2178 = X2179
| X2177 = X2179
| X2177 = X2178
| X2179 != X2211
| ~ rpoint(X2211)
| X2178 != X2212
| ~ rpoint(X2212)
| X2177 != X2213
| ~ rpoint(X2213) )
& ( vangle(X2187,X2188,X2189) = vangle(X2190,X2191,X2192)
| rpoint(esk55_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194))
| X2193 != X2194
| ron(X2182,X2193)
| ~ ron(X2181,X2193)
| ~ ron(X2180,X2193)
| ~ rline(X2194)
| X2192 != X2198
| ~ rpoint(X2198)
| X2191 != X2199
| ~ rpoint(X2199)
| X2190 != X2200
| ~ rpoint(X2200)
| X2189 != X2201
| ~ rpoint(X2201)
| X2188 != X2202
| ~ rpoint(X2202)
| X2187 != X2203
| ~ rpoint(X2203)
| X2186 != X2204
| ~ rpoint(X2204)
| X2185 != X2205
| ~ rpoint(X2205)
| X2184 != X2206
| ~ rpoint(X2206)
| X2183 != X2207
| ~ rpoint(X2207)
| X2182 != X2208
| ~ rpoint(X2208)
| X2181 != X2209
| ~ rpoint(X2209)
| X2180 != X2210
| ~ rpoint(X2210)
| X2178 = X2179
| X2177 = X2179
| X2177 = X2178
| X2179 != X2211
| ~ rpoint(X2211)
| X2178 != X2212
| ~ rpoint(X2212)
| X2177 != X2213
| ~ rpoint(X2213) )
& ( vf(X2183,X2184) = vf(X2185,X2186)
| rpoint(esk55_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194))
| X2193 != X2194
| ron(X2182,X2193)
| ~ ron(X2181,X2193)
| ~ ron(X2180,X2193)
| ~ rline(X2194)
| X2192 != X2198
| ~ rpoint(X2198)
| X2191 != X2199
| ~ rpoint(X2199)
| X2190 != X2200
| ~ rpoint(X2200)
| X2189 != X2201
| ~ rpoint(X2201)
| X2188 != X2202
| ~ rpoint(X2202)
| X2187 != X2203
| ~ rpoint(X2203)
| X2186 != X2204
| ~ rpoint(X2204)
| X2185 != X2205
| ~ rpoint(X2205)
| X2184 != X2206
| ~ rpoint(X2206)
| X2183 != X2207
| ~ rpoint(X2207)
| X2182 != X2208
| ~ rpoint(X2208)
| X2181 != X2209
| ~ rpoint(X2209)
| X2180 != X2210
| ~ rpoint(X2210)
| X2178 = X2179
| X2177 = X2179
| X2177 = X2178
| X2179 != X2211
| ~ rpoint(X2211)
| X2178 != X2212
| ~ rpoint(X2212)
| X2177 != X2213
| ~ rpoint(X2213) )
& ( vangle(X2187,X2188,X2189) = vangle(X2190,X2191,X2192)
| rpoint(esk54_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194))
| X2193 != X2194
| ron(X2182,X2193)
| ~ ron(X2181,X2193)
| ~ ron(X2180,X2193)
| ~ rline(X2194)
| X2192 != X2198
| ~ rpoint(X2198)
| X2191 != X2199
| ~ rpoint(X2199)
| X2190 != X2200
| ~ rpoint(X2200)
| X2189 != X2201
| ~ rpoint(X2201)
| X2188 != X2202
| ~ rpoint(X2202)
| X2187 != X2203
| ~ rpoint(X2203)
| X2186 != X2204
| ~ rpoint(X2204)
| X2185 != X2205
| ~ rpoint(X2205)
| X2184 != X2206
| ~ rpoint(X2206)
| X2183 != X2207
| ~ rpoint(X2207)
| X2182 != X2208
| ~ rpoint(X2208)
| X2181 != X2209
| ~ rpoint(X2209)
| X2180 != X2210
| ~ rpoint(X2210)
| X2178 = X2179
| X2177 = X2179
| X2177 = X2178
| X2179 != X2211
| ~ rpoint(X2211)
| X2178 != X2212
| ~ rpoint(X2212)
| X2177 != X2213
| ~ rpoint(X2213) )
& ( vf(X2183,X2184) = vf(X2185,X2186)
| rpoint(esk54_18(X2177,X2178,X2179,X2180,X2181,X2182,X2183,X2184,X2185,X2186,X2187,X2188,X2189,X2190,X2191,X2192,X2193,X2194))
| X2193 != X2194
| ron(X2182,X2193)
| ~ ron(X2181,X2193)
| ~ ron(X2180,X2193)
| ~ rline(X2194)
| X2192 != X2198
| ~ rpoint(X2198)
| X2191 != X2199
| ~ rpoint(X2199)
| X2190 != X2200
| ~ rpoint(X2200)
| X2189 != X2201
| ~ rpoint(X2201)
| X2188 != X2202
| ~ rpoint(X2202)
| X2187 != X2203
| ~ rpoint(X2203)
| X2186 != X2204
| ~ rpoint(X2204)
| X2185 != X2205
| ~ rpoint(X2205)
| X2184 != X2206
| ~ rpoint(X2206)
| X2183 != X2207
| ~ rpoint(X2207)
| X2182 != X2208
| ~ rpoint(X2208)
| X2181 != X2209
| ~ rpoint(X2209)
| X2180 != X2210
| ~ rpoint(X2210)
| X2178 = X2179
| X2177 = X2179
| X2177 = X2178
| X2179 != X2211
| ~ rpoint(X2211)
| X2178 != X2212
| ~ rpoint(X2212)
| X2177 != X2213
| ~ rpoint(X2213) )
& ( vangle(X2187,X2188,X2189) = vangle(X2190,X2191,X2192)
| vangle(X2187,X2188,X2189) != vangle(X2190,X2191,X2192)
| vf(X2183,X2184) != vf(X2185,X2186)
| X2193 != X2194
| ron(X2182,X2193)
| ~ ron(X2181,X2193)
| ~ ron(X2180,X2193)
| ~ rline(X2194)
| X2192 != X2198
| ~ rpoint(X2198)
| X2191 != X2199
| ~ rpoint(X2199)
| X2190 != X2200
| ~ rpoint(X2200)
| X2189 != X2201
| ~ rpoint(X2201)
| X2188 != X2202
| ~ rpoint(X2202)
| X2187 != X2203
| ~ rpoint(X2203)
| X2186 != X2204
| ~ rpoint(X2204)
| X2185 != X2205
| ~ rpoint(X2205)
| X2184 != X2206
| ~ rpoint(X2206)
| X2183 != X2207
| ~ rpoint(X2207)
| X2182 != X2208
| ~ rpoint(X2208)
| X2181 != X2209
| ~ rpoint(X2209)
| X2180 != X2210
| ~ rpoint(X2210)
| X2178 = X2179
| X2177 = X2179
| X2177 = X2178
| X2179 != X2211
| ~ rpoint(X2211)
| X2178 != X2212
| ~ rpoint(X2212)
| X2177 != X2213
| ~ rpoint(X2213) )
& ( vf(X2183,X2184) = vf(X2185,X2186)
| vangle(X2187,X2188,X2189) != vangle(X2190,X2191,X2192)
| vf(X2183,X2184) != vf(X2185,X2186)
| X2193 != X2194
| ron(X2182,X2193)
| ~ ron(X2181,X2193)
| ~ ron(X2180,X2193)
| ~ rline(X2194)
| X2192 != X2198
| ~ rpoint(X2198)
| X2191 != X2199
| ~ rpoint(X2199)
| X2190 != X2200
| ~ rpoint(X2200)
| X2189 != X2201
| ~ rpoint(X2201)
| X2188 != X2202
| ~ rpoint(X2202)
| X2187 != X2203
| ~ rpoint(X2203)
| X2186 != X2204
| ~ rpoint(X2204)
| X2185 != X2205
| ~ rpoint(X2205)
| X2184 != X2206
| ~ rpoint(X2206)
| X2183 != X2207
| ~ rpoint(X2207)
| X2182 != X2208
| ~ rpoint(X2208)
| X2181 != X2209
| ~ rpoint(X2209)
| X2180 != X2210
| ~ rpoint(X2210)
| X2178 = X2179
| X2177 = X2179
| X2177 = X2178
| X2179 != X2211
| ~ rpoint(X2211)
| X2178 != X2212
| ~ rpoint(X2212)
| X2177 != X2213
| ~ rpoint(X2213) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_155])])])])]) ).
fof(i_0_189,plain,
! [X1606,X1607,X1608,X1609,X1610,X1611,X1612,X1613] :
( ~ rless(vf(X1610,X1612),vf(X1606,X1608))
| X1610 = X1612
| X1606 = X1608
| X1612 != X1613
| ~ rpoint(X1613)
| X1610 != X1611
| ~ rpoint(X1611)
| X1608 != X1609
| ~ rpoint(X1609)
| X1606 != X1607
| ~ rpoint(X1607)
| rR(vskolem1120(X1606,X1607,X1608,X1609,X1610,X1611,X1612,X1613),X1606,X1608) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(238), 0), 1)'])]) ).
fof(i_0_190,plain,
! [X1598,X1599,X1600,X1601,X1602,X1603,X1604,X1605] :
( ~ rless(vf(X1602,X1604),vf(X1598,X1600))
| X1602 = X1604
| X1598 = X1600
| X1604 != X1605
| ~ rpoint(X1605)
| X1602 != X1603
| ~ rpoint(X1603)
| X1600 != X1601
| ~ rpoint(X1601)
| X1598 != X1599
| ~ rpoint(X1599)
| vf(X1598,vskolem1120(X1598,X1599,X1600,X1601,X1602,X1603,X1604,X1605)) = vf(X1602,X1604) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(238), 0), 0)'])]) ).
fof(i_0_191,plain,
! [X1614,X1615,X1616,X1617,X1618,X1619,X1620,X1621] :
( ~ rless(vf(X1618,X1620),vf(X1614,X1616))
| X1618 = X1620
| X1614 = X1616
| X1620 != X1621
| ~ rpoint(X1621)
| X1618 != X1619
| ~ rpoint(X1619)
| X1616 != X1617
| ~ rpoint(X1617)
| X1614 != X1615
| ~ rpoint(X1615)
| rpoint(vskolem1120(X1614,X1615,X1616,X1617,X1618,X1619,X1620,X1621)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(238), 0), 2)'])]) ).
fof(i_0_192,plain,
! [X1966,X1967,X1968,X1969,X1970,X1971,X1972,X1973,X1974] :
( ( ~ rS(esk19_7(X1966,X1967,X1968,X1969,X1970,X1971,X1972),X1972,X1968)
| ron(X1972,X1968)
| ~ ron(X1971,X1968)
| ~ ron(X1970,X1968)
| ~ rcenter(X1971,X1967)
| ~ rcenter(X1970,X1966)
| ~ rintersect(X1966,X1967)
| X1968 != X1969
| ~ rline(X1969)
| X1967 != X1973
| ~ rcircle(X1973)
| X1966 != X1974
| ~ rcircle(X1974) )
& ( ron(esk19_7(X1966,X1967,X1968,X1969,X1970,X1971,X1972),X1967)
| ron(X1972,X1968)
| ~ ron(X1971,X1968)
| ~ ron(X1970,X1968)
| ~ rcenter(X1971,X1967)
| ~ rcenter(X1970,X1966)
| ~ rintersect(X1966,X1967)
| X1968 != X1969
| ~ rline(X1969)
| X1967 != X1973
| ~ rcircle(X1973)
| X1966 != X1974
| ~ rcircle(X1974) )
& ( ron(esk19_7(X1966,X1967,X1968,X1969,X1970,X1971,X1972),X1966)
| ron(X1972,X1968)
| ~ ron(X1971,X1968)
| ~ ron(X1970,X1968)
| ~ rcenter(X1971,X1967)
| ~ rcenter(X1970,X1966)
| ~ rintersect(X1966,X1967)
| X1968 != X1969
| ~ rline(X1969)
| X1967 != X1973
| ~ rcircle(X1973)
| X1966 != X1974
| ~ rcircle(X1974) )
& ( rpoint(esk19_7(X1966,X1967,X1968,X1969,X1970,X1971,X1972))
| ron(X1972,X1968)
| ~ ron(X1971,X1968)
| ~ ron(X1970,X1968)
| ~ rcenter(X1971,X1967)
| ~ rcenter(X1970,X1966)
| ~ rintersect(X1966,X1967)
| X1968 != X1969
| ~ rline(X1969)
| X1967 != X1973
| ~ rcircle(X1973)
| X1966 != X1974
| ~ rcircle(X1974) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_156])])])])]) ).
fof(i_0_193,plain,
! [X2042,X2043,X2044,X2045,X2046,X2047,X2048,X2049] :
( ( esk33_7(X2042,X2043,X2044,X2045,X2046,X2047,X2048) != X2048
| X2044 != X2045
| X2046 != X2047
| X2048 != X2049
| ~ rS(X2048,X2044,X2042)
| ~ rpoint(X2049)
| ~ rS(X2046,X2044,X2042)
| ~ rpoint(X2047)
| ron(X2044,X2042)
| ~ rpoint(X2045)
| X2042 != X2043
| ~ rline(X2043) )
& ( esk33_7(X2042,X2043,X2044,X2045,X2046,X2047,X2048) != X2046
| X2044 != X2045
| X2046 != X2047
| X2048 != X2049
| ~ rS(X2048,X2044,X2042)
| ~ rpoint(X2049)
| ~ rS(X2046,X2044,X2042)
| ~ rpoint(X2047)
| ron(X2044,X2042)
| ~ rpoint(X2045)
| X2042 != X2043
| ~ rline(X2043) )
& ( esk33_7(X2042,X2043,X2044,X2045,X2046,X2047,X2048) != X2044
| X2044 != X2045
| X2046 != X2047
| X2048 != X2049
| ~ rS(X2048,X2044,X2042)
| ~ rpoint(X2049)
| ~ rS(X2046,X2044,X2042)
| ~ rpoint(X2047)
| ron(X2044,X2042)
| ~ rpoint(X2045)
| X2042 != X2043
| ~ rline(X2043) )
& ( rS(esk33_7(X2042,X2043,X2044,X2045,X2046,X2047,X2048),X2044,X2042)
| X2044 != X2045
| X2046 != X2047
| X2048 != X2049
| ~ rS(X2048,X2044,X2042)
| ~ rpoint(X2049)
| ~ rS(X2046,X2044,X2042)
| ~ rpoint(X2047)
| ron(X2044,X2042)
| ~ rpoint(X2045)
| X2042 != X2043
| ~ rline(X2043) )
& ( rpoint(esk33_7(X2042,X2043,X2044,X2045,X2046,X2047,X2048))
| X2044 != X2045
| X2046 != X2047
| X2048 != X2049
| ~ rS(X2048,X2044,X2042)
| ~ rpoint(X2049)
| ~ rS(X2046,X2044,X2042)
| ~ rpoint(X2047)
| ron(X2044,X2042)
| ~ rpoint(X2045)
| X2042 != X2043
| ~ rline(X2043) ) ),
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)],[i_0_157])])])])])]) ).
fof(i_0_194,plain,
! [X1976,X1977,X1978,X1979,X1980,X1981,X1982,X1983,X1984] :
( ( rS(esk20_7(X1976,X1977,X1978,X1979,X1980,X1981,X1982),X1982,X1978)
| ron(X1982,X1978)
| ~ ron(X1981,X1978)
| ~ ron(X1980,X1978)
| ~ rcenter(X1981,X1977)
| ~ rcenter(X1980,X1976)
| ~ rintersect(X1976,X1977)
| X1978 != X1979
| ~ rline(X1979)
| X1977 != X1983
| ~ rcircle(X1983)
| X1976 != X1984
| ~ rcircle(X1984) )
& ( ron(esk20_7(X1976,X1977,X1978,X1979,X1980,X1981,X1982),X1977)
| ron(X1982,X1978)
| ~ ron(X1981,X1978)
| ~ ron(X1980,X1978)
| ~ rcenter(X1981,X1977)
| ~ rcenter(X1980,X1976)
| ~ rintersect(X1976,X1977)
| X1978 != X1979
| ~ rline(X1979)
| X1977 != X1983
| ~ rcircle(X1983)
| X1976 != X1984
| ~ rcircle(X1984) )
& ( ron(esk20_7(X1976,X1977,X1978,X1979,X1980,X1981,X1982),X1976)
| ron(X1982,X1978)
| ~ ron(X1981,X1978)
| ~ ron(X1980,X1978)
| ~ rcenter(X1981,X1977)
| ~ rcenter(X1980,X1976)
| ~ rintersect(X1976,X1977)
| X1978 != X1979
| ~ rline(X1979)
| X1977 != X1983
| ~ rcircle(X1983)
| X1976 != X1984
| ~ rcircle(X1984) )
& ( rpoint(esk20_7(X1976,X1977,X1978,X1979,X1980,X1981,X1982))
| ron(X1982,X1978)
| ~ ron(X1981,X1978)
| ~ ron(X1980,X1978)
| ~ rcenter(X1981,X1977)
| ~ rcenter(X1980,X1976)
| ~ rintersect(X1976,X1977)
| X1978 != X1979
| ~ rline(X1979)
| X1977 != X1983
| ~ rcircle(X1983)
| X1976 != X1984
| ~ rcircle(X1984) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_158])])])])]) ).
fof(i_0_195,plain,
! [X1699,X1700,X1701,X1702,X1703,X1704,X1705,X1706] :
( ( rR(esk14_7(X1699,X1700,X1701,X1702,X1703,X1704,X1705),X1703,X1705)
| ~ ron(X1705,X1701)
| ron(X1705,X1699)
| rinside(X1705,X1699)
| X1705 != X1706
| ~ rpoint(X1706)
| ~ ron(X1703,X1701)
| ~ rinside(X1703,X1699)
| X1703 != X1704
| ~ rpoint(X1704)
| X1701 != X1702
| ~ rline(X1702)
| X1699 != X1700
| ~ rcircle(X1700) )
& ( ron(esk14_7(X1699,X1700,X1701,X1702,X1703,X1704,X1705),X1699)
| ~ ron(X1705,X1701)
| ron(X1705,X1699)
| rinside(X1705,X1699)
| X1705 != X1706
| ~ rpoint(X1706)
| ~ ron(X1703,X1701)
| ~ rinside(X1703,X1699)
| X1703 != X1704
| ~ rpoint(X1704)
| X1701 != X1702
| ~ rline(X1702)
| X1699 != X1700
| ~ rcircle(X1700) )
& ( ron(esk14_7(X1699,X1700,X1701,X1702,X1703,X1704,X1705),X1701)
| ~ ron(X1705,X1701)
| ron(X1705,X1699)
| rinside(X1705,X1699)
| X1705 != X1706
| ~ rpoint(X1706)
| ~ ron(X1703,X1701)
| ~ rinside(X1703,X1699)
| X1703 != X1704
| ~ rpoint(X1704)
| X1701 != X1702
| ~ rline(X1702)
| X1699 != X1700
| ~ rcircle(X1700) )
& ( rpoint(esk14_7(X1699,X1700,X1701,X1702,X1703,X1704,X1705))
| ~ ron(X1705,X1701)
| ron(X1705,X1699)
| rinside(X1705,X1699)
| X1705 != X1706
| ~ rpoint(X1706)
| ~ ron(X1703,X1701)
| ~ rinside(X1703,X1699)
| X1703 != X1704
| ~ rpoint(X1704)
| X1701 != X1702
| ~ rline(X1702)
| X1699 != X1700
| ~ rcircle(X1700) ) ),
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)],[i_0_159])])])])])]) ).
fof(i_0_196,plain,
! [X1991,X1992,X1993,X1994,X1995,X1996,X1997,X1998] :
( ( rR(X1995,esk22_7(X1991,X1992,X1993,X1994,X1995,X1996,X1997),X1997)
| X1997 = X1995
| ~ ron(X1997,X1993)
| X1997 != X1998
| ~ rpoint(X1998)
| ~ ron(X1995,X1993)
| ~ rinside(X1995,X1991)
| X1995 != X1996
| ~ rpoint(X1996)
| X1993 != X1994
| ~ rline(X1994)
| X1991 != X1992
| ~ rcircle(X1992) )
& ( ron(esk22_7(X1991,X1992,X1993,X1994,X1995,X1996,X1997),X1993)
| X1997 = X1995
| ~ ron(X1997,X1993)
| X1997 != X1998
| ~ rpoint(X1998)
| ~ ron(X1995,X1993)
| ~ rinside(X1995,X1991)
| X1995 != X1996
| ~ rpoint(X1996)
| X1993 != X1994
| ~ rline(X1994)
| X1991 != X1992
| ~ rcircle(X1992) )
& ( ron(esk22_7(X1991,X1992,X1993,X1994,X1995,X1996,X1997),X1991)
| X1997 = X1995
| ~ ron(X1997,X1993)
| X1997 != X1998
| ~ rpoint(X1998)
| ~ ron(X1995,X1993)
| ~ rinside(X1995,X1991)
| X1995 != X1996
| ~ rpoint(X1996)
| X1993 != X1994
| ~ rline(X1994)
| X1991 != X1992
| ~ rcircle(X1992) )
& ( rpoint(esk22_7(X1991,X1992,X1993,X1994,X1995,X1996,X1997))
| X1997 = X1995
| ~ ron(X1997,X1993)
| X1997 != X1998
| ~ rpoint(X1998)
| ~ ron(X1995,X1993)
| ~ rinside(X1995,X1991)
| X1995 != X1996
| ~ rpoint(X1996)
| X1993 != X1994
| ~ rline(X1994)
| X1991 != X1992
| ~ rcircle(X1992) ) ),
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(63), 0), imp(cond(axiom(63), 0)))'])])])])])]) ).
fof(i_0_197,plain,
! [X2079,X2080,X2081,X2082,X2083,X2084,X2085,X2086,X2087,X2088] :
( ( esk38_6(X2079,X2080,X2081,X2082,X2083,X2084) != X2084
| ~ rR(X2084,X2081,X2082)
| ~ rR(X2083,X2081,X2082)
| ~ ron(X2083,X2079)
| ~ ron(X2082,X2079)
| ~ ron(X2081,X2079)
| X2084 != X2085
| ~ rpoint(X2085)
| X2083 != X2086
| ~ rpoint(X2086)
| X2082 != X2087
| ~ rpoint(X2087)
| X2081 != X2088
| ~ rpoint(X2088)
| X2079 != X2080
| ~ rline(X2080) )
& ( esk38_6(X2079,X2080,X2081,X2082,X2083,X2084) != X2083
| ~ rR(X2084,X2081,X2082)
| ~ rR(X2083,X2081,X2082)
| ~ ron(X2083,X2079)
| ~ ron(X2082,X2079)
| ~ ron(X2081,X2079)
| X2084 != X2085
| ~ rpoint(X2085)
| X2083 != X2086
| ~ rpoint(X2086)
| X2082 != X2087
| ~ rpoint(X2087)
| X2081 != X2088
| ~ rpoint(X2088)
| X2079 != X2080
| ~ rline(X2080) )
& ( rR(esk38_6(X2079,X2080,X2081,X2082,X2083,X2084),X2081,X2082)
| ~ rR(X2084,X2081,X2082)
| ~ rR(X2083,X2081,X2082)
| ~ ron(X2083,X2079)
| ~ ron(X2082,X2079)
| ~ ron(X2081,X2079)
| X2084 != X2085
| ~ rpoint(X2085)
| X2083 != X2086
| ~ rpoint(X2086)
| X2082 != X2087
| ~ rpoint(X2087)
| X2081 != X2088
| ~ rpoint(X2088)
| X2079 != X2080
| ~ rline(X2080) )
& ( rpoint(esk38_6(X2079,X2080,X2081,X2082,X2083,X2084))
| ~ rR(X2084,X2081,X2082)
| ~ rR(X2083,X2081,X2082)
| ~ ron(X2083,X2079)
| ~ ron(X2082,X2079)
| ~ ron(X2081,X2079)
| X2084 != X2085
| ~ rpoint(X2085)
| X2083 != X2086
| ~ rpoint(X2086)
| X2082 != X2087
| ~ rpoint(X2087)
| X2081 != X2088
| ~ rpoint(X2088)
| X2079 != X2080
| ~ rline(X2080) ) ),
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(27), 0), imp(cond(axiom(27), 0)))'])])])])]) ).
fof(i_0_198,plain,
! [X2090,X2091,X2092,X2093,X2094,X2095,X2096,X2097] :
( ( esk39_5(X2090,X2091,X2092,X2093,X2094) != X2094
| ~ rR(X2094,X2092,X2093)
| ~ ron(X2093,X2090)
| ~ ron(X2092,X2090)
| X2094 != X2095
| ~ rpoint(X2095)
| X2093 != X2096
| ~ rpoint(X2096)
| X2092 != X2097
| ~ rpoint(X2097)
| X2090 != X2091
| ~ rline(X2091) )
& ( rR(esk39_5(X2090,X2091,X2092,X2093,X2094),X2092,X2093)
| ~ rR(X2094,X2092,X2093)
| ~ ron(X2093,X2090)
| ~ ron(X2092,X2090)
| X2094 != X2095
| ~ rpoint(X2095)
| X2093 != X2096
| ~ rpoint(X2096)
| X2092 != X2097
| ~ rpoint(X2097)
| X2090 != X2091
| ~ rline(X2091) )
& ( rpoint(esk39_5(X2090,X2091,X2092,X2093,X2094))
| ~ rR(X2094,X2092,X2093)
| ~ ron(X2093,X2090)
| ~ ron(X2092,X2090)
| X2094 != X2095
| ~ rpoint(X2095)
| X2093 != X2096
| ~ rpoint(X2096)
| X2092 != X2097
| ~ rpoint(X2097)
| X2090 != X2091
| ~ rline(X2091) ) ),
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(25), 0), imp(cond(axiom(25), 0)))'])])])])]) ).
fof(i_0_199,plain,
! [X2063,X2064,X2065,X2066,X2067,X2068,X2069,X2070] :
( ( esk36_5(X2063,X2064,X2065,X2066,X2067) != X2067
| X2067 != X2068
| ~ rR(X2066,X2065,X2067)
| ~ rpoint(X2068)
| ~ ron(X2066,X2063)
| ~ ron(X2065,X2063)
| X2066 != X2069
| ~ rpoint(X2069)
| X2065 != X2070
| ~ rpoint(X2070)
| X2063 != X2064
| ~ rline(X2064) )
& ( rR(X2066,X2065,esk36_5(X2063,X2064,X2065,X2066,X2067))
| X2067 != X2068
| ~ rR(X2066,X2065,X2067)
| ~ rpoint(X2068)
| ~ ron(X2066,X2063)
| ~ ron(X2065,X2063)
| X2066 != X2069
| ~ rpoint(X2069)
| X2065 != X2070
| ~ rpoint(X2070)
| X2063 != X2064
| ~ rline(X2064) )
& ( rpoint(esk36_5(X2063,X2064,X2065,X2066,X2067))
| X2067 != X2068
| ~ rR(X2066,X2065,X2067)
| ~ rpoint(X2068)
| ~ ron(X2066,X2063)
| ~ ron(X2065,X2063)
| X2066 != X2069
| ~ rpoint(X2069)
| X2065 != X2070
| ~ rpoint(X2070)
| X2063 != X2064
| ~ rline(X2064) ) ),
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(31), 0), imp(cond(axiom(31), 0)))'])])])])])]) ).
fof(i_0_200,plain,
! [X2051,X2052,X2053,X2054,X2055,X2056] :
( ( esk34_5(X2051,X2052,X2053,X2054,X2055) != X2055
| X2053 != X2054
| X2055 != X2056
| ~ rS(X2055,X2053,X2051)
| ~ rpoint(X2056)
| ron(X2053,X2051)
| ~ rpoint(X2054)
| X2051 != X2052
| ~ rline(X2052) )
& ( esk34_5(X2051,X2052,X2053,X2054,X2055) != X2053
| X2053 != X2054
| X2055 != X2056
| ~ rS(X2055,X2053,X2051)
| ~ rpoint(X2056)
| ron(X2053,X2051)
| ~ rpoint(X2054)
| X2051 != X2052
| ~ rline(X2052) )
& ( rS(esk34_5(X2051,X2052,X2053,X2054,X2055),X2053,X2051)
| X2053 != X2054
| X2055 != X2056
| ~ rS(X2055,X2053,X2051)
| ~ rpoint(X2056)
| ron(X2053,X2051)
| ~ rpoint(X2054)
| X2051 != X2052
| ~ rline(X2052) )
& ( rpoint(esk34_5(X2051,X2052,X2053,X2054,X2055))
| X2053 != X2054
| X2055 != X2056
| ~ rS(X2055,X2053,X2051)
| ~ rpoint(X2056)
| ron(X2053,X2051)
| ~ rpoint(X2054)
| X2051 != X2052
| ~ rline(X2052) ) ),
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)],[i_0_160])])])])])]) ).
fof(i_0_201,plain,
! [X2115,X2116,X2117,X2118,X2119,X2120] :
( ( esk42_5(X2115,X2116,X2117,X2118,X2119) != X2119
| ~ ron(X2119,X2115)
| ~ ron(X2117,X2115)
| X2119 != X2120
| ~ rpoint(X2120)
| X2117 != X2118
| ~ rpoint(X2118)
| X2115 != X2116
| ~ rline(X2116) )
& ( esk42_5(X2115,X2116,X2117,X2118,X2119) != X2117
| ~ ron(X2119,X2115)
| ~ ron(X2117,X2115)
| X2119 != X2120
| ~ rpoint(X2120)
| X2117 != X2118
| ~ rpoint(X2118)
| X2115 != X2116
| ~ rline(X2116) )
& ( ron(esk42_5(X2115,X2116,X2117,X2118,X2119),X2115)
| ~ ron(X2119,X2115)
| ~ ron(X2117,X2115)
| X2119 != X2120
| ~ rpoint(X2120)
| X2117 != X2118
| ~ rpoint(X2118)
| X2115 != X2116
| ~ rline(X2116) )
& ( rpoint(esk42_5(X2115,X2116,X2117,X2118,X2119))
| ~ ron(X2119,X2115)
| ~ ron(X2117,X2115)
| X2119 != X2120
| ~ rpoint(X2120)
| X2117 != X2118
| ~ rpoint(X2118)
| X2115 != X2116
| ~ rline(X2116) ) ),
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(19), 0), imp(cond(axiom(19), 0)))'])])])])])]) ).
fof(i_0_202,plain,
! [X2291,X2292,X2293,X2294,X2295,X2296,X2297,X2298,X2299,X2300,X2301,X2302,X2303,X2304,X2305,X2306] :
( ( ~ ron(X2295,X2297)
| ~ ron(X2295,X2296)
| rS(X2295,X2291,X2297)
| ~ rless(vplus(vangle(X2291,X2292,X2293),vangle(X2292,X2293,X2294)),vplus(vperp,vperp))
| ~ rS(X2291,X2294,X2297)
| X2292 = X2293
| ~ ron(X2294,X2298)
| ~ ron(X2293,X2298)
| ~ ron(X2293,X2297)
| ~ ron(X2292,X2297)
| ~ ron(X2292,X2296)
| ~ ron(X2291,X2296)
| X2298 != X2299
| ~ rline(X2299)
| X2297 != X2300
| ~ rline(X2300)
| X2296 != X2301
| ~ rline(X2301)
| X2295 != X2302
| ~ rpoint(X2302)
| X2294 != X2303
| ~ rpoint(X2303)
| X2293 != X2304
| ~ rpoint(X2304)
| X2292 != X2305
| ~ rpoint(X2305)
| X2291 != X2306
| ~ rpoint(X2306) )
& ( rintersect(X2296,X2297)
| ~ rless(vplus(vangle(X2291,X2292,X2293),vangle(X2292,X2293,X2294)),vplus(vperp,vperp))
| ~ rS(X2291,X2294,X2297)
| X2292 = X2293
| ~ ron(X2294,X2298)
| ~ ron(X2293,X2298)
| ~ ron(X2293,X2297)
| ~ ron(X2292,X2297)
| ~ ron(X2292,X2296)
| ~ ron(X2291,X2296)
| X2298 != X2299
| ~ rline(X2299)
| X2297 != X2300
| ~ rline(X2300)
| X2296 != X2301
| ~ rline(X2301)
| X2295 != X2302
| ~ rpoint(X2302)
| X2294 != X2303
| ~ rpoint(X2303)
| X2293 != X2304
| ~ rpoint(X2304)
| X2292 != X2305
| ~ rpoint(X2305)
| X2291 != X2306
| ~ rpoint(X2306) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(196), 0), imp(cond(axiom(196), 0)))'])])])]) ).
fof(i_0_203,plain,
! [X2165,X2166,X2167,X2168] :
( X2167 != X2168
| X2165 = X2167
| ~ rpoint(X2168)
| X2165 != X2166
| ~ rpoint(X2166)
| vf(X2167,vskolem1052(X2165,X2166,X2167,X2168)) = vf(vskolem1052(X2165,X2166,X2167,X2168),X2165) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(206), 0), 0)'])]) ).
fof(i_0_204,plain,
! [X2228,X2229,X2230,X2231,X2232,X2233,X2234,X2235,X2236,X2237,X2238,X2239] :
( vangle(X2230,X2228,X2229) != vangle(X2233,X2231,X2232)
| vangle(X2229,X2230,X2228) != vangle(X2232,X2233,X2231)
| vangle(X2228,X2229,X2230) != vangle(X2231,X2232,X2233)
| vf(X2230,X2228) != vf(X2233,X2231)
| vf(X2229,X2230) != vf(X2232,X2233)
| vf(X2228,X2229) != vf(X2231,X2232)
| X2233 != X2234
| ~ rpoint(X2234)
| X2232 != X2235
| ~ rpoint(X2235)
| X2231 != X2236
| ~ rpoint(X2236)
| X2230 != X2237
| ~ rpoint(X2237)
| X2229 != X2238
| ~ rpoint(X2238)
| X2228 != X2239
| ~ rpoint(X2239)
| vg(X2228,X2229,X2230) = vg(X2231,X2232,X2233) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(178), 0), imp(cond(axiom(178), 0)))'])])]) ).
fof(i_0_205,plain,
! [X1562,X1563,X1564,X1565,X1566,X1567,X1568,X1569,X1570,X1571,X1572,X1573] :
( ( rS(X1564,X1565,X1566)
| vangle(X1563,X1562,X1564) != vplus(vangle(X1563,X1562,X1565),vangle(X1565,X1562,X1564))
| X1566 = X1567
| ron(X1565,X1567)
| ron(X1565,X1566)
| X1562 = X1564
| X1562 = X1563
| ~ ron(X1564,X1567)
| ~ ron(X1563,X1566)
| ~ ron(X1562,X1567)
| ~ ron(X1562,X1566)
| X1567 != X1568
| ~ rline(X1568)
| X1566 != X1569
| ~ rline(X1569)
| X1565 != X1570
| ~ rpoint(X1570)
| X1564 != X1571
| ~ rpoint(X1571)
| X1563 != X1572
| ~ rpoint(X1572)
| X1562 != X1573
| ~ rpoint(X1573) )
& ( rS(X1563,X1565,X1567)
| vangle(X1563,X1562,X1564) != vplus(vangle(X1563,X1562,X1565),vangle(X1565,X1562,X1564))
| X1566 = X1567
| ron(X1565,X1567)
| ron(X1565,X1566)
| X1562 = X1564
| X1562 = X1563
| ~ ron(X1564,X1567)
| ~ ron(X1563,X1566)
| ~ ron(X1562,X1567)
| ~ ron(X1562,X1566)
| X1567 != X1568
| ~ rline(X1568)
| X1566 != X1569
| ~ rline(X1569)
| X1565 != X1570
| ~ rpoint(X1570)
| X1564 != X1571
| ~ rpoint(X1571)
| X1563 != X1572
| ~ rpoint(X1572)
| X1562 != X1573
| ~ rpoint(X1573) )
& ( ~ rS(X1564,X1565,X1566)
| ~ rS(X1563,X1565,X1567)
| vangle(X1563,X1562,X1564) = vplus(vangle(X1563,X1562,X1565),vangle(X1565,X1562,X1564))
| X1566 = X1567
| ron(X1565,X1567)
| ron(X1565,X1566)
| X1562 = X1564
| X1562 = X1563
| ~ ron(X1564,X1567)
| ~ ron(X1563,X1566)
| ~ ron(X1562,X1567)
| ~ ron(X1562,X1566)
| X1567 != X1568
| ~ rline(X1568)
| X1566 != X1569
| ~ rline(X1569)
| X1565 != X1570
| ~ rpoint(X1570)
| X1564 != X1571
| ~ rpoint(X1571)
| X1563 != X1572
| ~ rpoint(X1572)
| X1562 != X1573
| ~ rpoint(X1573) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_161])])])]) ).
fof(i_0_206,plain,
! [X2099,X2100,X2101,X2102,X2103,X2104] :
( ( rR(esk40_4(X2099,X2100,X2101,X2102),X2101,X2102)
| X2101 = X2102
| ~ ron(X2102,X2099)
| ~ ron(X2101,X2099)
| X2102 != X2103
| ~ rpoint(X2103)
| X2101 != X2104
| ~ rpoint(X2104)
| X2099 != X2100
| ~ rline(X2100) )
& ( rpoint(esk40_4(X2099,X2100,X2101,X2102))
| X2101 = X2102
| ~ ron(X2102,X2099)
| ~ ron(X2101,X2099)
| X2102 != X2103
| ~ rpoint(X2103)
| X2101 != X2104
| ~ rpoint(X2104)
| X2099 != X2100
| ~ rline(X2100) ) ),
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(23), 0), imp(cond(axiom(23), 0)))'])])])])]) ).
fof(i_0_207,plain,
! [X2072,X2073,X2074,X2075,X2076,X2077] :
( ( rR(X2075,X2074,esk37_4(X2072,X2073,X2074,X2075))
| X2074 = X2075
| ~ ron(X2075,X2072)
| ~ ron(X2074,X2072)
| X2075 != X2076
| ~ rpoint(X2076)
| X2074 != X2077
| ~ rpoint(X2077)
| X2072 != X2073
| ~ rline(X2073) )
& ( rpoint(esk37_4(X2072,X2073,X2074,X2075))
| X2074 = X2075
| ~ ron(X2075,X2072)
| ~ ron(X2074,X2072)
| X2075 != X2076
| ~ rpoint(X2076)
| X2074 != X2077
| ~ rpoint(X2077)
| X2072 != X2073
| ~ rline(X2073) ) ),
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(29), 0), imp(cond(axiom(29), 0)))'])])])])]) ).
fof(i_0_208,plain,
! [X2106,X2107,X2108,X2109,X2110,X2111,X2112,X2113] :
( ( esk41_4(X2106,X2107,X2108,X2109) != X2109
| ~ ron(X2110,X2106)
| ~ ron(X2109,X2106)
| ~ ron(X2108,X2106)
| X2110 != X2111
| ~ rpoint(X2111)
| X2109 != X2112
| ~ rpoint(X2112)
| X2108 != X2113
| ~ rpoint(X2113)
| X2106 != X2107
| ~ rline(X2107) )
& ( esk41_4(X2106,X2107,X2108,X2109) != X2108
| ~ ron(X2110,X2106)
| ~ ron(X2109,X2106)
| ~ ron(X2108,X2106)
| X2110 != X2111
| ~ rpoint(X2111)
| X2109 != X2112
| ~ rpoint(X2112)
| X2108 != X2113
| ~ rpoint(X2113)
| X2106 != X2107
| ~ rline(X2107) )
& ( ron(esk41_4(X2106,X2107,X2108,X2109),X2106)
| ~ ron(X2110,X2106)
| ~ ron(X2109,X2106)
| ~ ron(X2108,X2106)
| X2110 != X2111
| ~ rpoint(X2111)
| X2109 != X2112
| ~ rpoint(X2112)
| X2108 != X2113
| ~ rpoint(X2113)
| X2106 != X2107
| ~ rline(X2107) )
& ( rpoint(esk41_4(X2106,X2107,X2108,X2109))
| ~ ron(X2110,X2106)
| ~ ron(X2109,X2106)
| ~ ron(X2108,X2106)
| X2110 != X2111
| ~ rpoint(X2111)
| X2109 != X2112
| ~ rpoint(X2112)
| X2108 != X2113
| ~ rpoint(X2113)
| X2106 != X2107
| ~ rline(X2107) ) ),
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(21), 0), imp(cond(axiom(21), 0)))'])])])])])]) ).
fof(i_0_209,plain,
! [X1823,X1824,X1825,X1826,X1827,X1828,X1829,X1830,X1831,X1832,X1833,X1834,X1835,X1836,X1837] :
( ~ rS(X1828,X1830,X1825)
| ~ rS(X1829,X1830,X1824)
| ~ rS(X1827,X1828,X1825)
| ~ rS(X1828,X1829,X1823)
| ~ ron(X1829,X1825)
| ~ ron(X1828,X1824)
| ~ ron(X1827,X1823)
| ~ ron(X1826,X1825)
| ~ ron(X1826,X1824)
| ~ ron(X1826,X1823)
| X1829 != X1831
| ~ rpoint(X1831)
| X1828 != X1832
| ~ rpoint(X1832)
| X1827 != X1833
| ~ rpoint(X1833)
| X1826 != X1834
| ~ rpoint(X1834)
| X1825 != X1835
| ~ rline(X1835)
| X1824 != X1836
| ~ rline(X1836)
| X1823 != X1837
| ~ rline(X1837)
| rS(X1828,X1830,X1823) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(117), 0), imp(cond(axiom(117), 0)))'])])]) ).
fof(i_0_210,plain,
! [X2022,X2023,X2024,X2025,X2026,X2027] :
( ( esk29_4(X2022,X2023,X2024,X2025) != X2025
| ~ ron(X2025,X2022)
| ~ ron(X2024,X2022)
| X2025 != X2026
| ~ rpoint(X2026)
| X2024 != X2027
| ~ rpoint(X2027)
| X2022 != X2023
| ~ rcircle(X2023) )
& ( esk29_4(X2022,X2023,X2024,X2025) != X2024
| ~ ron(X2025,X2022)
| ~ ron(X2024,X2022)
| X2025 != X2026
| ~ rpoint(X2026)
| X2024 != X2027
| ~ rpoint(X2027)
| X2022 != X2023
| ~ rcircle(X2023) )
& ( ron(esk29_4(X2022,X2023,X2024,X2025),X2022)
| ~ ron(X2025,X2022)
| ~ ron(X2024,X2022)
| X2025 != X2026
| ~ rpoint(X2026)
| X2024 != X2027
| ~ rpoint(X2027)
| X2022 != X2023
| ~ rcircle(X2023) )
& ( rpoint(esk29_4(X2022,X2023,X2024,X2025))
| ~ ron(X2025,X2022)
| ~ ron(X2024,X2022)
| X2025 != X2026
| ~ rpoint(X2026)
| X2024 != X2027
| ~ rpoint(X2027)
| X2022 != X2023
| ~ rcircle(X2023) ) ),
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(45), 0), imp(cond(axiom(45), 0)))'])])])])]) ).
fof(i_0_211,plain,
! [X2244,X2245,X2246,X2247,X2248,X2249,X2250,X2251,X2252,X2253] :
( ( ~ rR(X2246,X2244,X2245)
| vplus(vg(X2244,X2246,X2247),vg(X2247,X2246,X2245)) = vg(X2244,X2247,X2245)
| ron(X2247,X2248)
| X2248 != X2249
| ~ rline(X2249)
| X2246 = X2247
| X2245 = X2247
| X2245 = X2246
| X2244 = X2247
| X2244 = X2246
| X2244 = X2245
| X2247 != X2250
| ~ rpoint(X2250)
| X2246 != X2251
| ~ rpoint(X2251)
| X2245 != X2252
| ~ rpoint(X2252)
| X2244 != X2253
| ~ rpoint(X2253) )
& ( vplus(vg(X2244,X2246,X2247),vg(X2247,X2246,X2245)) != vg(X2244,X2247,X2245)
| rR(X2246,X2244,X2245)
| ron(X2247,X2248)
| X2248 != X2249
| ~ rline(X2249)
| X2246 = X2247
| X2245 = X2247
| X2245 = X2246
| X2244 = X2247
| X2244 = X2246
| X2244 = X2245
| X2247 != X2250
| ~ rpoint(X2250)
| X2246 != X2251
| ~ rpoint(X2251)
| X2245 != X2252
| ~ rpoint(X2252)
| X2244 != X2253
| ~ rpoint(X2253) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_162])])])]) ).
fof(i_0_212,plain,
! [X1713,X1714,X1715,X1716,X1717,X1718] :
( X1713 = X1714
| X1714 != X1715
| ~ rpoint(X1715)
| X1713 != X1716
| ~ rpoint(X1716)
| X1717 != X1718
| X1717 = X1714
| X1717 = X1713
| ~ rpoint(X1718)
| vf(X1713,X1714) = vf(X1717,vskolem1078(X1717,X1718,X1713,X1714)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(219), 0), 0)'])])]) ).
fof(i_0_213,plain,
! [X2169,X2170,X2171,X2172] :
( X2171 != X2172
| X2169 = X2171
| ~ rpoint(X2172)
| X2169 != X2170
| ~ rpoint(X2170)
| vf(X2169,X2171) = vf(X2171,vskolem1052(X2169,X2170,X2171,X2172)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(206), 0), 1)'])]) ).
fof(i_0_214,plain,
! [X2130,X2131,X2132,X2133,X2134,X2135,X2136,X2137] :
( ( esk45_4(X2130,X2131,X2132,X2133) != X2133
| X2133 != X2134
| ~ rpoint(X2134)
| X2132 != X2135
| ~ rpoint(X2135)
| X2131 != X2136
| ~ rpoint(X2136)
| X2130 != X2137
| ~ rpoint(X2137) )
& ( esk45_4(X2130,X2131,X2132,X2133) != X2132
| X2133 != X2134
| ~ rpoint(X2134)
| X2132 != X2135
| ~ rpoint(X2135)
| X2131 != X2136
| ~ rpoint(X2136)
| X2130 != X2137
| ~ rpoint(X2137) )
& ( esk45_4(X2130,X2131,X2132,X2133) != X2131
| X2133 != X2134
| ~ rpoint(X2134)
| X2132 != X2135
| ~ rpoint(X2135)
| X2131 != X2136
| ~ rpoint(X2136)
| X2130 != X2137
| ~ rpoint(X2137) )
& ( esk45_4(X2130,X2131,X2132,X2133) != X2130
| X2133 != X2134
| ~ rpoint(X2134)
| X2132 != X2135
| ~ rpoint(X2135)
| X2131 != X2136
| ~ rpoint(X2136)
| X2130 != X2137
| ~ rpoint(X2137) )
& ( rpoint(esk45_4(X2130,X2131,X2132,X2133))
| X2133 != X2134
| ~ rpoint(X2134)
| X2132 != X2135
| ~ rpoint(X2135)
| X2131 != X2136
| ~ rpoint(X2136)
| X2130 != X2137
| ~ rpoint(X2137) ) ),
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(13), 0), imp(cond(axiom(13), 0)))'])])])])]) ).
fof(i_0_215,plain,
! [X1719,X1720,X1721,X1722,X1723,X1724] :
( X1719 = X1720
| X1720 != X1721
| ~ rpoint(X1721)
| X1719 != X1722
| ~ rpoint(X1722)
| X1723 != X1724
| X1723 = X1720
| X1723 = X1719
| ~ rpoint(X1724)
| rpoint(vskolem1078(X1723,X1724,X1719,X1720)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(219), 0), 1)'])])]) ).
fof(i_0_216,plain,
! [X2173,X2174,X2175,X2176] :
( X2175 != X2176
| X2173 = X2175
| ~ rpoint(X2176)
| X2173 != X2174
| ~ rpoint(X2174)
| rpoint(vskolem1052(X2173,X2174,X2175,X2176)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(206), 0), 2)'])]) ).
fof(i_0_217,plain,
! [X1852,X1853,X1854,X1855,X1856,X1857,X1858,X1859,X1860,X1861,X1862,X1863,X1864,X1865] :
( ~ rS(X1856,X1857,X1854)
| ~ rS(X1857,X1858,X1852)
| ~ ron(X1858,X1854)
| ~ ron(X1857,X1854)
| ~ ron(X1856,X1852)
| ~ ron(X1855,X1854)
| ~ ron(X1855,X1853)
| ~ ron(X1855,X1852)
| X1858 != X1859
| ~ rpoint(X1859)
| X1857 != X1860
| ~ rpoint(X1860)
| X1856 != X1861
| ~ rpoint(X1861)
| X1855 != X1862
| ~ rpoint(X1862)
| X1854 != X1863
| ~ rline(X1863)
| X1853 != X1864
| ~ rline(X1864)
| X1852 != X1865
| ~ rline(X1865)
| ~ rS(X1856,X1858,X1853) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_163])])]) ).
fof(i_0_218,plain,
! [X1838,X1839,X1840,X1841,X1842,X1843,X1844,X1845,X1846,X1847,X1848,X1849,X1850,X1851] :
( X1842 = X1841
| ron(X1844,X1839)
| rS(X1842,X1844,X1839)
| ~ rS(X1843,X1844,X1838)
| ~ ron(X1844,X1840)
| ~ ron(X1843,X1839)
| ~ ron(X1842,X1838)
| ~ ron(X1841,X1840)
| ~ ron(X1841,X1839)
| ~ ron(X1841,X1838)
| X1844 != X1845
| ~ rpoint(X1845)
| X1843 != X1846
| ~ rpoint(X1846)
| X1842 != X1847
| ~ rpoint(X1847)
| X1841 != X1848
| ~ rpoint(X1848)
| X1840 != X1849
| ~ rline(X1849)
| X1839 != X1850
| ~ rline(X1850)
| X1838 != X1851
| ~ rline(X1851)
| rS(X1842,X1843,X1840) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_164])])]) ).
fof(i_0_219,plain,
! [X2214,X2215,X2216,X2217,X2218,X2219,X2220,X2221,X2222,X2223,X2224,X2225,X2226,X2227] :
( rR(X2214,X2216,X2218)
| rR(X2214,X2215,X2217)
| X2218 = X2214
| X2217 = X2214
| X2216 = X2214
| X2215 = X2214
| ~ ron(X2218,X2220)
| ~ ron(X2216,X2220)
| ~ ron(X2217,X2219)
| ~ ron(X2215,X2219)
| ~ ron(X2214,X2219)
| X2220 != X2221
| ~ rline(X2221)
| X2219 != X2222
| ~ rline(X2222)
| X2218 != X2223
| ~ rpoint(X2223)
| X2217 != X2224
| ~ rpoint(X2224)
| X2216 != X2225
| ~ rpoint(X2225)
| X2215 != X2226
| ~ rpoint(X2226)
| X2214 != X2227
| ~ rpoint(X2227)
| vangle(X2215,X2214,X2216) = vangle(X2217,X2214,X2218) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_165])])]) ).
fof(i_0_220,plain,
! [X2254,X2255,X2256,X2257,X2258,X2259,X2260,X2261,X2262,X2263] :
( ( vangle(X2254,X2256,X2257) != vangle(X2257,X2256,X2255)
| vangle(X2254,X2256,X2257) = vperp
| ron(X2257,X2258)
| ~ rR(X2256,X2254,X2255)
| X2258 != X2259
| ~ rline(X2259)
| X2257 != X2260
| ~ rpoint(X2260)
| X2256 != X2261
| ~ rpoint(X2261)
| X2255 != X2262
| ~ rpoint(X2262)
| X2254 != X2263
| ~ rpoint(X2263) )
& ( vangle(X2254,X2256,X2257) != vperp
| vangle(X2254,X2256,X2257) = vangle(X2257,X2256,X2255)
| ron(X2257,X2258)
| ~ rR(X2256,X2254,X2255)
| X2258 != X2259
| ~ rline(X2259)
| X2257 != X2260
| ~ rpoint(X2260)
| X2256 != X2261
| ~ rpoint(X2261)
| X2255 != X2262
| ~ rpoint(X2262)
| X2254 != X2263
| ~ rpoint(X2263) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_166])])])]) ).
fof(i_0_221,plain,
! [X1765,X1766,X1767,X1769,X1770,X1771,X1772,X1773] :
( ( ~ ron(X1765,X1767)
| ~ ron(X1766,X1767)
| rS(X1765,X1766,esk17_3(X1765,X1766,X1767))
| X1769 != X1770
| ~ rcircle(X1770)
| X1767 != X1771
| ~ rcircle(X1771)
| X1766 != X1772
| ~ rpoint(X1772)
| X1765 != X1773
| ~ rpoint(X1773)
| rintersect(esk18_3(X1765,X1766,X1767),X1767) )
& ( ~ rinside(X1765,X1767)
| ~ ron(X1766,X1767)
| rS(X1765,X1766,esk17_3(X1765,X1766,X1767))
| X1769 != X1770
| ~ rcircle(X1770)
| X1767 != X1771
| ~ rcircle(X1771)
| X1766 != X1772
| ~ rpoint(X1772)
| X1765 != X1773
| ~ rpoint(X1773)
| rintersect(esk18_3(X1765,X1766,X1767),X1767) )
& ( ~ ron(X1765,X1767)
| ~ rinside(X1766,X1767)
| rS(X1765,X1766,esk17_3(X1765,X1766,X1767))
| X1769 != X1770
| ~ rcircle(X1770)
| X1767 != X1771
| ~ rcircle(X1771)
| X1766 != X1772
| ~ rpoint(X1772)
| X1765 != X1773
| ~ rpoint(X1773)
| rintersect(esk18_3(X1765,X1766,X1767),X1767) )
& ( ~ rinside(X1765,X1767)
| ~ rinside(X1766,X1767)
| rS(X1765,X1766,esk17_3(X1765,X1766,X1767))
| X1769 != X1770
| ~ rcircle(X1770)
| X1767 != X1771
| ~ rcircle(X1771)
| X1766 != X1772
| ~ rpoint(X1772)
| X1765 != X1773
| ~ rpoint(X1773)
| rintersect(esk18_3(X1765,X1766,X1767),X1767) ) ),
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(129), 0), imp(cond(axiom(129), 0)))'])])])])])]) ).
fof(i_0_222,plain,
! [X1783,X1784,X1785,X1786,X1787,X1788,X1789,X1790,X1791,X1792,X1793,X1794] :
( ~ ron(X1788,X1789)
| ~ ron(X1787,X1789)
| X1789 != X1790
| ~ rline(X1790)
| ~ rcenter(X1788,X1784)
| ~ rcenter(X1787,X1783)
| X1785 = X1786
| ~ ron(X1786,X1784)
| ~ ron(X1786,X1783)
| ~ ron(X1785,X1784)
| ~ ron(X1785,X1783)
| X1786 != X1791
| ~ rpoint(X1791)
| X1785 != X1792
| ~ rpoint(X1792)
| ~ rintersect(X1783,X1784)
| X1783 = X1784
| X1784 != X1793
| ~ rcircle(X1793)
| X1783 != X1794
| ~ rcircle(X1794)
| ~ rS(X1785,X1786,X1789) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_167])])]) ).
fof(i_0_223,plain,
! [X1920,X1921,X1922,X1923,X1924,X1925,X1926,X1927] :
( ~ rR(X1921,X1920,X1923)
| ~ rR(X1921,X1920,X1922)
| X1923 != X1924
| ~ rpoint(X1924)
| X1922 != X1925
| ~ rpoint(X1925)
| X1921 != X1926
| ~ rpoint(X1926)
| X1920 != X1927
| ~ rpoint(X1927)
| ~ rR(X1921,X1922,X1923) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_168])])]) ).
fof(i_0_224,plain,
! [X2037,X2038,X2039,X2040] :
( ( ~ rS(esk32_3(X2037,X2038,X2039),X2039,X2037)
| X2039 != X2040
| ron(X2039,X2037)
| ~ rpoint(X2040)
| X2037 != X2038
| ~ rline(X2038) )
& ( rpoint(esk32_3(X2037,X2038,X2039))
| X2039 != X2040
| ron(X2039,X2037)
| ~ rpoint(X2040)
| X2037 != X2038
| ~ rline(X2038) ) ),
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)],[i_0_169])])])])])]) ).
fof(i_0_225,plain,
! [X1590,X1591,X1592,X1593,X1594,X1595,X1596,X1597] :
( X1593 != X1594
| ~ ron(X1592,X1593)
| ~ ron(X1591,X1593)
| ~ ron(X1590,X1593)
| ~ rline(X1594)
| X1591 = X1592
| X1590 = X1592
| X1590 = X1591
| X1592 != X1595
| ~ rpoint(X1595)
| X1591 != X1596
| ~ rpoint(X1596)
| X1590 != X1597
| ~ rpoint(X1597)
| rR(X1591,X1590,X1592)
| rR(X1590,X1591,X1592)
| rR(X1592,X1590,X1591) ),
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)))'])])]) ).
fof(i_0_226,plain,
! [X1892,X1893,X1894,X1895,X1896,X1897,X1898,X1899] :
( ~ rS(X1892,X1894,X1895)
| ~ rR(X1893,X1892,X1894)
| X1895 != X1896
| ~ rline(X1896)
| X1894 != X1897
| ~ rpoint(X1897)
| X1893 != X1898
| ~ rpoint(X1898)
| X1892 != X1899
| ~ rpoint(X1899)
| rS(X1892,X1893,X1895) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(105), 0), imp(cond(axiom(105), 0)))'])])]) ).
fof(i_0_227,plain,
! [X1908,X1909,X1910,X1911,X1912,X1913,X1914,X1915] :
( ~ rS(X1908,X1910,X1911)
| ~ rS(X1908,X1909,X1911)
| X1911 != X1912
| ~ rline(X1912)
| X1910 != X1913
| ~ rpoint(X1913)
| X1909 != X1914
| ~ rpoint(X1914)
| X1908 != X1915
| ~ rpoint(X1915)
| rS(X1909,X1910,X1911) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(101), 0), imp(cond(axiom(101), 0)))'])])]) ).
fof(i_0_228,plain,
! [X1936,X1937,X1938,X1939,X1940,X1941,X1942,X1943] :
( ~ rR(X1939,X1936,X1937)
| ~ rR(X1937,X1936,X1938)
| X1939 != X1940
| ~ rpoint(X1940)
| X1938 != X1941
| ~ rpoint(X1941)
| X1937 != X1942
| ~ rpoint(X1942)
| X1936 != X1943
| ~ rpoint(X1943)
| rR(X1939,X1936,X1938) ),
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)))'])])]) ).
fof(i_0_229,plain,
! [X1928,X1929,X1930,X1931,X1932,X1933,X1934,X1935] :
( ~ rR(X1930,X1929,X1931)
| ~ rR(X1929,X1928,X1930)
| X1931 != X1932
| ~ rpoint(X1932)
| X1930 != X1933
| ~ rpoint(X1933)
| X1929 != X1934
| ~ rpoint(X1934)
| X1928 != X1935
| ~ rpoint(X1935)
| rR(X1929,X1928,X1931) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(89), 0), imp(cond(axiom(89), 0)))'])])]) ).
fof(i_0_230,plain,
! [X1539,X1540,X1541,X1542,X1543,X1544,X1545,X1546] :
( ( rR(X1539,X1541,X1543)
| ~ ron(X1543,X1545)
| vangle(X1541,X1539,X1543) = v0
| ~ ron(X1541,X1545)
| ~ ron(X1539,X1545)
| X1539 = X1543
| X1539 = X1541
| X1545 != X1546
| ~ rline(X1546)
| X1543 != X1544
| ~ rpoint(X1544)
| X1541 != X1542
| ~ rpoint(X1542)
| X1539 != X1540
| ~ rpoint(X1540) )
& ( ~ rR(X1539,X1541,X1543)
| vangle(X1541,X1539,X1543) != v0
| ~ ron(X1541,X1545)
| ~ ron(X1539,X1545)
| X1539 = X1543
| X1539 = X1541
| X1545 != X1546
| ~ rline(X1546)
| X1543 != X1544
| ~ rpoint(X1544)
| X1541 != X1542
| ~ rpoint(X1542)
| X1539 != X1540
| ~ rpoint(X1540) )
& ( ron(X1543,X1545)
| vangle(X1541,X1539,X1543) != v0
| ~ ron(X1541,X1545)
| ~ ron(X1539,X1545)
| X1539 = X1543
| X1539 = X1541
| X1545 != X1546
| ~ rline(X1546)
| X1543 != X1544
| ~ rpoint(X1544)
| X1541 != X1542
| ~ rpoint(X1542)
| X1539 != X1540
| ~ rpoint(X1540) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_170])])]) ).
fof(i_0_231,plain,
! [X1866,X1867,X1868,X1869,X1870,X1871,X1872,X1873,X1874,X1875] :
( ~ ron(X1867,X1869)
| ~ ron(X1867,X1870)
| rS(X1866,X1868,X1869)
| ~ ron(X1868,X1870)
| ~ ron(X1866,X1870)
| X1869 = X1870
| X1870 != X1871
| ~ rline(X1871)
| X1869 != X1872
| ~ rline(X1872)
| X1867 = X1868
| X1866 = X1868
| X1866 = X1867
| X1868 != X1873
| ~ rpoint(X1873)
| X1867 != X1874
| ~ rpoint(X1874)
| X1866 != X1875
| ~ rpoint(X1875)
| rR(X1867,X1866,X1868) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_171])])]) ).
fof(i_0_232,plain,
! [X1900,X1901,X1902,X1903,X1904,X1905,X1906,X1907] :
( rS(X1900,X1901,X1903)
| ron(X1902,X1903)
| ron(X1901,X1903)
| ron(X1900,X1903)
| X1903 != X1904
| ~ rline(X1904)
| X1902 != X1905
| ~ rpoint(X1905)
| X1901 != X1906
| ~ rpoint(X1906)
| X1900 != X1907
| ~ rpoint(X1907)
| rS(X1900,X1902,X1903)
| rS(X1901,X1902,X1903) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_172])])]) ).
fof(i_0_233,plain,
! [X1813,X1814,X1815,X1816,X1817,X1818,X1819,X1820,X1821,X1822] :
( X1814 = X1815
| ~ ron(X1815,X1818)
| ~ ron(X1814,X1818)
| ~ rinside(X1813,X1818)
| ~ ron(X1815,X1816)
| ~ ron(X1814,X1816)
| ~ ron(X1813,X1816)
| X1818 != X1819
| ~ rcircle(X1819)
| X1816 != X1817
| ~ rline(X1817)
| X1815 != X1820
| ~ rpoint(X1820)
| X1814 != X1821
| ~ rpoint(X1821)
| X1813 != X1822
| ~ rpoint(X1822)
| rR(X1813,X1814,X1815) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(119), 0), imp(cond(axiom(119), 0)))'])])]) ).
fof(i_0_234,plain,
! [X1876,X1877,X1878,X1879,X1880,X1881,X1882,X1883] :
( ~ ron(X1877,X1879)
| ~ rR(X1877,X1876,X1878)
| X1879 != X1880
| ~ rline(X1880)
| X1878 != X1881
| ~ rpoint(X1881)
| X1877 != X1882
| ~ rpoint(X1882)
| X1876 != X1883
| ~ rpoint(X1883)
| ~ rS(X1876,X1878,X1879) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_173])])]) ).
fof(i_0_235,plain,
! [X1884,X1885,X1886,X1887,X1888,X1889,X1890,X1891] :
( ron(X1885,X1887)
| ~ ron(X1884,X1887)
| ~ rR(X1885,X1884,X1886)
| X1887 != X1888
| ~ rline(X1888)
| X1886 != X1889
| ~ rpoint(X1889)
| X1885 != X1890
| ~ rpoint(X1890)
| X1884 != X1891
| ~ rpoint(X1891)
| rS(X1885,X1886,X1887) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_174])])]) ).
fof(i_0_236,plain,
! [X2000,X2001,X2002,X2003] :
( ( esk23_3(X2000,X2001,X2002) != esk24_3(X2000,X2001,X2002)
| ~ rintersect(X2002,X2000)
| X2002 != X2003
| ~ rline(X2003)
| X2000 != X2001
| ~ rcircle(X2001) )
& ( ron(esk24_3(X2000,X2001,X2002),X2000)
| ~ rintersect(X2002,X2000)
| X2002 != X2003
| ~ rline(X2003)
| X2000 != X2001
| ~ rcircle(X2001) )
& ( ron(esk24_3(X2000,X2001,X2002),X2002)
| ~ rintersect(X2002,X2000)
| X2002 != X2003
| ~ rline(X2003)
| X2000 != X2001
| ~ rcircle(X2001) )
& ( rpoint(esk24_3(X2000,X2001,X2002))
| ~ rintersect(X2002,X2000)
| X2002 != X2003
| ~ rline(X2003)
| X2000 != X2001
| ~ rcircle(X2001) )
& ( ron(esk23_3(X2000,X2001,X2002),X2000)
| ~ rintersect(X2002,X2000)
| X2002 != X2003
| ~ rline(X2003)
| X2000 != X2001
| ~ rcircle(X2001) )
& ( ron(esk23_3(X2000,X2001,X2002),X2002)
| ~ rintersect(X2002,X2000)
| X2002 != X2003
| ~ rline(X2003)
| X2000 != X2001
| ~ rcircle(X2001) )
& ( rpoint(esk23_3(X2000,X2001,X2002))
| ~ rintersect(X2002,X2000)
| X2002 != X2003
| ~ rline(X2003)
| X2000 != X2001
| ~ rcircle(X2001) ) ),
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(59), 0), imp(cond(axiom(59), 0)))'])])])])])]) ).
fof(i_0_237,plain,
! [X2154,X2155,X2156,X2157] :
( ( X2155 != X2156
| vtriangle(X2154,X2155,X2156) != X2157
| ~ rtriangle(X2157) )
& ( X2154 != X2156
| vtriangle(X2154,X2155,X2156) != X2157
| ~ rtriangle(X2157) )
& ( X2154 != X2155
| vtriangle(X2154,X2155,X2156) != X2157
| ~ rtriangle(X2157) )
& ( X2156 = esk49_3(X2154,X2155,X2156)
| vtriangle(X2154,X2155,X2156) != X2157
| ~ rtriangle(X2157) )
& ( rpoint(esk49_3(X2154,X2155,X2156))
| vtriangle(X2154,X2155,X2156) != X2157
| ~ rtriangle(X2157) )
& ( X2155 = esk50_3(X2154,X2155,X2156)
| vtriangle(X2154,X2155,X2156) != X2157
| ~ rtriangle(X2157) )
& ( rpoint(esk50_3(X2154,X2155,X2156))
| vtriangle(X2154,X2155,X2156) != X2157
| ~ rtriangle(X2157) )
& ( X2154 = esk51_3(X2154,X2155,X2156)
| vtriangle(X2154,X2155,X2156) != X2157
| ~ rtriangle(X2157) )
& ( rpoint(esk51_3(X2154,X2155,X2156))
| vtriangle(X2154,X2155,X2156) != X2157
| ~ rtriangle(X2157) ) ),
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(3), 0), imp(cond(axiom(3), 0)))'])])])])])]) ).
fof(i_0_238,plain,
! [X1683,X1684,X1685,X1686,X1687,X1688] :
( ( ~ rR(X1683,X1684,X1685)
| ~ rR(X1684,X1683,X1685)
| X1685 != X1686
| ~ rpoint(X1686)
| X1684 != X1687
| ~ rpoint(X1687)
| X1683 != X1688
| ~ rpoint(X1688) )
& ( X1683 != X1685
| ~ rR(X1684,X1683,X1685)
| X1685 != X1686
| ~ rpoint(X1686)
| X1684 != X1687
| ~ rpoint(X1687)
| X1683 != X1688
| ~ rpoint(X1688) )
& ( X1683 != X1684
| ~ rR(X1684,X1683,X1685)
| X1685 != X1686
| ~ rpoint(X1686)
| X1684 != X1687
| ~ rpoint(X1687)
| X1683 != X1688
| ~ rpoint(X1688) )
& ( rR(X1684,X1685,X1683)
| ~ rR(X1684,X1683,X1685)
| X1685 != X1686
| ~ rpoint(X1686)
| X1684 != X1687
| ~ rpoint(X1687)
| X1683 != X1688
| ~ rpoint(X1688) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_175])])])]) ).
fof(i_0_239,plain,
! [X1803,X1804,X1805,X1806,X1807,X1808,X1809,X1810,X1811,X1812] :
( ( ~ ron(X1803,X1808)
| ~ ron(X1804,X1808)
| ~ rR(X1805,X1803,X1804)
| X1808 != X1809
| ~ rcircle(X1809)
| X1806 != X1807
| ~ rline(X1807)
| X1805 != X1810
| ~ rpoint(X1810)
| X1804 != X1811
| ~ rpoint(X1811)
| X1803 != X1812
| ~ rpoint(X1812)
| rinside(X1805,X1808) )
& ( ~ rinside(X1803,X1808)
| ~ ron(X1804,X1808)
| ~ rR(X1805,X1803,X1804)
| X1808 != X1809
| ~ rcircle(X1809)
| X1806 != X1807
| ~ rline(X1807)
| X1805 != X1810
| ~ rpoint(X1810)
| X1804 != X1811
| ~ rpoint(X1811)
| X1803 != X1812
| ~ rpoint(X1812)
| rinside(X1805,X1808) )
& ( ~ ron(X1803,X1808)
| ~ rinside(X1804,X1808)
| ~ rR(X1805,X1803,X1804)
| X1808 != X1809
| ~ rcircle(X1809)
| X1806 != X1807
| ~ rline(X1807)
| X1805 != X1810
| ~ rpoint(X1810)
| X1804 != X1811
| ~ rpoint(X1811)
| X1803 != X1812
| ~ rpoint(X1812)
| rinside(X1805,X1808) )
& ( ~ rinside(X1803,X1808)
| ~ rinside(X1804,X1808)
| ~ rR(X1805,X1803,X1804)
| X1808 != X1809
| ~ rcircle(X1809)
| X1806 != X1807
| ~ rline(X1807)
| X1805 != X1810
| ~ rpoint(X1810)
| X1804 != X1811
| ~ rpoint(X1811)
| X1803 != X1812
| ~ rpoint(X1812)
| rinside(X1805,X1808) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(121), 0), imp(cond(axiom(121), 0)))'])])])]) ).
fof(i_0_240,plain,
! [X1663,X1664,X1665,X1666,X1667,X1668] :
( ~ rR(X1664,X1663,X1665)
| X1665 != X1666
| ~ rpoint(X1666)
| X1664 != X1667
| ~ rpoint(X1667)
| X1663 != X1668
| ~ rpoint(X1668)
| vplus(vf(X1663,X1664),vf(X1664,X1665)) = vf(X1663,X1665) ),
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)))'])])]) ).
fof(i_0_241,plain,
! [X2058,X2059,X2060,X2061] :
( ( esk35_3(X2058,X2059,X2060) != X2060
| X2060 != X2061
| ron(X2060,X2058)
| ~ rpoint(X2061)
| X2058 != X2059
| ~ rline(X2059) )
& ( rS(esk35_3(X2058,X2059,X2060),X2060,X2058)
| X2060 != X2061
| ron(X2060,X2058)
| ~ rpoint(X2061)
| X2058 != X2059
| ~ rline(X2059) )
& ( rpoint(esk35_3(X2058,X2059,X2060))
| X2060 != X2061
| ron(X2060,X2058)
| ~ rpoint(X2061)
| X2058 != X2059
| ~ rline(X2059) ) ),
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)],[i_0_176])])])])])]) ).
fof(i_0_242,plain,
! [X2270,X2271,X2272,X2273,X2274,X2275,X2276,X2277] :
( ( vg(X2270,X2271,X2272) != v0
| ron(X2272,X2273)
| ~ ron(X2271,X2273)
| ~ ron(X2270,X2273)
| X2270 = X2271
| X2273 != X2274
| ~ rline(X2274)
| X2272 != X2275
| ~ rpoint(X2275)
| X2271 != X2276
| ~ rpoint(X2276)
| X2270 != X2277
| ~ rpoint(X2277) )
& ( ~ ron(X2272,X2273)
| vg(X2270,X2271,X2272) = v0
| ~ ron(X2271,X2273)
| ~ ron(X2270,X2273)
| X2270 = X2271
| X2273 != X2274
| ~ rline(X2274)
| X2272 != X2275
| ~ rpoint(X2275)
| X2271 != X2276
| ~ rpoint(X2276)
| X2270 != X2277
| ~ rpoint(X2277) ) ),
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)))'])])])]) ).
fof(i_0_243,plain,
! [X1795,X1796,X1797,X1798,X1799,X1800,X1801,X1802] :
( ( ~ ron(X1795,X1798)
| ~ rR(X1797,X1795,X1796)
| rinside(X1797,X1798)
| X1798 != X1799
| ~ rcircle(X1799)
| X1797 != X1800
| ~ rpoint(X1800)
| X1796 != X1801
| ~ rpoint(X1801)
| X1795 != X1802
| ~ rpoint(X1802)
| ~ ron(X1796,X1798) )
& ( ~ rinside(X1795,X1798)
| ~ rR(X1797,X1795,X1796)
| rinside(X1797,X1798)
| X1798 != X1799
| ~ rcircle(X1799)
| X1797 != X1800
| ~ rpoint(X1800)
| X1796 != X1801
| ~ rpoint(X1801)
| X1795 != X1802
| ~ rpoint(X1802)
| ~ ron(X1796,X1798) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_177])])])]) ).
fof(i_0_244,plain,
! [X1952,X1953,X1954,X1955,X1956,X1957,X1958,X1959] :
( X1955 != X1956
| ~ ron(X1953,X1955)
| ~ ron(X1952,X1955)
| ~ rR(X1953,X1952,X1954)
| ~ rline(X1956)
| X1954 != X1957
| ~ rpoint(X1957)
| X1953 != X1958
| ~ rpoint(X1958)
| X1952 != X1959
| ~ rpoint(X1959)
| ron(X1954,X1955) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))'])])]) ).
fof(i_0_245,plain,
! [X1944,X1945,X1946,X1947,X1948,X1949,X1950,X1951] :
( X1947 != X1948
| ~ ron(X1946,X1947)
| ~ ron(X1944,X1947)
| ~ rR(X1945,X1944,X1946)
| ~ rline(X1948)
| X1946 != X1949
| ~ rpoint(X1949)
| X1945 != X1950
| ~ rpoint(X1950)
| X1944 != X1951
| ~ rpoint(X1951)
| ron(X1945,X1947) ),
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)))'])])]) ).
fof(i_0_246,plain,
! [X1574,X1575,X1576,X1577,X1578,X1579] :
( ( ~ rless(vf(X1576,X1574),vf(X1576,X1575))
| rinside(X1574,X1577)
| ~ ron(X1575,X1577)
| ~ rcenter(X1576,X1577)
| X1575 != X1578
| ~ rpoint(X1578)
| X1574 != X1579
| ~ rpoint(X1579) )
& ( ~ rinside(X1574,X1577)
| rless(vf(X1576,X1574),vf(X1576,X1575))
| ~ ron(X1575,X1577)
| ~ rcenter(X1576,X1577)
| X1575 != X1578
| ~ rpoint(X1578)
| X1574 != X1579
| ~ rpoint(X1579) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))'])])])]) ).
fof(i_0_247,plain,
! [X1584,X1585,X1586,X1587,X1588,X1589] :
( ~ rS(X1584,X1585,X1586)
| X1586 != X1587
| ~ rline(X1587)
| X1585 != X1588
| ~ rpoint(X1588)
| X1584 != X1589
| ~ rpoint(X1589)
| rS(X1585,X1584,X1586) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))'])])]) ).
fof(i_0_248,plain,
! [X2311,X2312,X2313,X2314,X2315,X2316] :
( ( rleq(vangle(X2311,X2312,X2313),vplus(vperp,vperp))
| X2313 != X2314
| ~ rpoint(X2314)
| X2312 != X2315
| ~ rpoint(X2315)
| X2311 != X2316
| ~ rpoint(X2316) )
& ( rleq(v0,vangle(X2311,X2312,X2313))
| X2313 != X2314
| ~ rpoint(X2314)
| X2312 != X2315
| ~ rpoint(X2315)
| X2311 != X2316
| ~ rpoint(X2316) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(170), 0), imp(cond(axiom(170), 0)))'])])])]) ).
fof(i_0_249,plain,
! [X2122,X2123,X2124,X2125] :
( ( esk43_3(X2122,X2123,X2124) != X2124
| ~ ron(X2124,X2122)
| X2124 != X2125
| ~ rpoint(X2125)
| X2122 != X2123
| ~ rline(X2123) )
& ( ron(esk43_3(X2122,X2123,X2124),X2122)
| ~ ron(X2124,X2122)
| X2124 != X2125
| ~ rpoint(X2125)
| X2122 != X2123
| ~ rline(X2123) )
& ( rpoint(esk43_3(X2122,X2123,X2124))
| ~ ron(X2124,X2122)
| X2124 != X2125
| ~ rpoint(X2125)
| X2122 != X2123
| ~ rline(X2123) ) ),
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(17), 0), imp(cond(axiom(17), 0)))'])])])])])]) ).
fof(i_0_250,plain,
! [X2029,X2030,X2031,X2032] :
( ( esk30_3(X2029,X2030,X2031) != X2031
| ~ ron(X2031,X2029)
| X2031 != X2032
| ~ rpoint(X2032)
| X2029 != X2030
| ~ rcircle(X2030) )
& ( ron(esk30_3(X2029,X2030,X2031),X2029)
| ~ ron(X2031,X2029)
| X2031 != X2032
| ~ rpoint(X2032)
| X2029 != X2030
| ~ rcircle(X2030) )
& ( rpoint(esk30_3(X2029,X2030,X2031))
| ~ ron(X2031,X2029)
| X2031 != X2032
| ~ rpoint(X2032)
| X2029 != X2030
| ~ rcircle(X2030) ) ),
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(43), 0), imp(cond(axiom(43), 0)))'])])])])])]) ).
fof(i_0_251,plain,
! [X2011,X2012,X2013,X2014] :
( ( ron(esk26_3(X2011,X2012,X2013),X2013)
| ~ rintersect(X2011,X2013)
| X2013 != X2014
| ~ rline(X2014)
| X2011 != X2012
| ~ rline(X2012) )
& ( ron(esk26_3(X2011,X2012,X2013),X2011)
| ~ rintersect(X2011,X2013)
| X2013 != X2014
| ~ rline(X2014)
| X2011 != X2012
| ~ rline(X2012) )
& ( rpoint(esk26_3(X2011,X2012,X2013))
| ~ rintersect(X2011,X2013)
| X2013 != X2014
| ~ rline(X2014)
| X2011 != X2012
| ~ rline(X2012) ) ),
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(55), 0), imp(cond(axiom(55), 0)))'])])])])])]) ).
fof(i_0_252,plain,
! [X2006,X2007,X2008,X2009] :
( ( ron(esk25_3(X2006,X2007,X2008),X2006)
| ~ rintersect(X2008,X2006)
| X2008 != X2009
| ~ rline(X2009)
| X2006 != X2007
| ~ rcircle(X2007) )
& ( ron(esk25_3(X2006,X2007,X2008),X2008)
| ~ rintersect(X2008,X2006)
| X2008 != X2009
| ~ rline(X2009)
| X2006 != X2007
| ~ rcircle(X2007) )
& ( rpoint(esk25_3(X2006,X2007,X2008))
| ~ rintersect(X2008,X2006)
| X2008 != X2009
| ~ rline(X2009)
| X2006 != X2007
| ~ rcircle(X2007) ) ),
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(57), 0), imp(cond(axiom(57), 0)))'])])])])])]) ).
fof(i_0_253,plain,
! [X1986,X1987,X1988,X1989] :
( ( ron(esk21_3(X1986,X1987,X1988),X1988)
| ~ rintersect(X1986,X1988)
| X1988 != X1989
| ~ rcircle(X1989)
| X1986 != X1987
| ~ rcircle(X1987) )
& ( ron(esk21_3(X1986,X1987,X1988),X1986)
| ~ rintersect(X1986,X1988)
| X1988 != X1989
| ~ rcircle(X1989)
| X1986 != X1987
| ~ rcircle(X1987) )
& ( rpoint(esk21_3(X1986,X1987,X1988))
| ~ rintersect(X1986,X1988)
| X1988 != X1989
| ~ rcircle(X1989)
| X1986 != X1987
| ~ rcircle(X1987) ) ),
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(65), 0), imp(cond(axiom(65), 0)))'])])])])])]) ).
fof(i_0_254,plain,
! [X1725,X1726,X1727,X1728,X1729,X1730,X1731] :
( vf(X1727,X1725) != vf(X1727,X1726)
| ~ ron(X1726,X1729)
| ~ ron(X1725,X1728)
| ~ rcenter(X1727,X1729)
| ~ rcenter(X1727,X1728)
| X1726 != X1730
| ~ rpoint(X1730)
| X1725 != X1731
| ~ rpoint(X1731)
| X1728 = X1729 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))'])])]) ).
fof(i_0_255,plain,
! [X1775,X1776,X1777,X1778,X1779,X1780,X1781,X1782] :
( X1777 != X1778
| X1779 != X1780
| ~ ron(X1776,X1779)
| ~ ron(X1775,X1779)
| ~ rline(X1780)
| rS(X1775,X1776,X1777)
| ~ rline(X1778)
| X1776 != X1781
| ~ rpoint(X1781)
| X1775 != X1782
| ~ rpoint(X1782)
| rintersect(X1777,X1779) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_178])])]) ).
fof(i_0_256,plain,
! [X1675,X1676,X1677,X1678,X1679,X1680,X1681,X1682] :
( ( ~ ron(X1676,X1677)
| rinside(X1676,X1678)
| ron(X1676,X1678)
| ~ rinside(X1675,X1678)
| ~ ron(X1675,X1677)
| X1678 != X1679
| ~ rcircle(X1679)
| X1677 != X1680
| ~ rcircle(X1680)
| X1676 != X1681
| ~ rpoint(X1681)
| X1675 != X1682
| ~ rpoint(X1682)
| rintersect(X1677,X1678) )
& ( ~ rinside(X1676,X1677)
| rinside(X1676,X1678)
| ron(X1676,X1678)
| ~ rinside(X1675,X1678)
| ~ ron(X1675,X1677)
| X1678 != X1679
| ~ rcircle(X1679)
| X1677 != X1680
| ~ rcircle(X1680)
| X1676 != X1681
| ~ rpoint(X1681)
| X1675 != X1682
| ~ rpoint(X1682)
| rintersect(X1677,X1678) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_179])])])]) ).
fof(i_0_257,plain,
! [X2278,X2279,X2280,X2281,X2282,X2283] :
( X2282 != X2283
| ~ rpoint(X2283)
| X2280 != X2281
| ~ rpoint(X2281)
| X2278 != X2279
| ~ rpoint(X2279)
| rgeq(vg(X2278,X2280,X2282),v0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(174), 0), imp(cond(axiom(174), 0)))'])]) ).
fof(i_0_258,plain,
! [X2317,X2318,X2319,X2320,X2321,X2322] :
( X2317 = X2319
| X2317 = X2318
| X2319 != X2320
| ~ rpoint(X2320)
| X2318 != X2321
| ~ rpoint(X2321)
| X2317 != X2322
| ~ rpoint(X2322)
| vangle(X2317,X2318,X2319) = vangle(X2319,X2318,X2317) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))'])])]) ).
fof(i_0_259,plain,
! [X2284,X2285,X2286,X2287,X2288,X2289] :
( ( vg(X2284,X2285,X2286) = esk57_3(X2284,X2285,X2286)
| X2286 != X2287
| ~ rpoint(X2287)
| X2285 != X2288
| ~ rpoint(X2288)
| X2284 != X2289
| ~ rpoint(X2289) )
& ( rreal(esk57_3(X2284,X2285,X2286))
| X2286 != X2287
| ~ rpoint(X2287)
| X2285 != X2288
| ~ rpoint(X2288)
| X2284 != X2289
| ~ rpoint(X2289) ) ),
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(198), 0), imp(cond(axiom(198), 0)))'])])])])]) ).
fof(i_0_260,plain,
! [X2139,X2140,X2141,X2142,X2143,X2144] :
( ( esk46_3(X2139,X2140,X2141) != X2141
| X2141 != X2142
| ~ rpoint(X2142)
| X2140 != X2143
| ~ rpoint(X2143)
| X2139 != X2144
| ~ rpoint(X2144) )
& ( esk46_3(X2139,X2140,X2141) != X2140
| X2141 != X2142
| ~ rpoint(X2142)
| X2140 != X2143
| ~ rpoint(X2143)
| X2139 != X2144
| ~ rpoint(X2144) )
& ( esk46_3(X2139,X2140,X2141) != X2139
| X2141 != X2142
| ~ rpoint(X2142)
| X2140 != X2143
| ~ rpoint(X2143)
| X2139 != X2144
| ~ rpoint(X2144) )
& ( rpoint(esk46_3(X2139,X2140,X2141))
| X2141 != X2142
| ~ rpoint(X2142)
| X2140 != X2143
| ~ rpoint(X2143)
| X2139 != X2144
| ~ rpoint(X2144) ) ),
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(11), 0), imp(cond(axiom(11), 0)))'])])])])]) ).
fof(i_0_261,plain,
! [X1649,X1650,X1651,X1652,X1653,X1654] :
( ~ rS(X1649,X1650,X1651)
| X1651 != X1652
| ~ rline(X1652)
| X1650 != X1653
| ~ rpoint(X1653)
| X1649 != X1654
| ~ rpoint(X1654)
| ~ ron(X1649,X1651) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_180])])]) ).
fof(i_0_262,plain,
! [X2264,X2265,X2266,X2267,X2268,X2269] :
( ( vg(X2264,X2265,X2266) = vg(X2264,X2266,X2265)
| X2266 != X2267
| ~ rpoint(X2267)
| X2265 != X2268
| ~ rpoint(X2268)
| X2264 != X2269
| ~ rpoint(X2269) )
& ( vg(X2264,X2265,X2266) = vg(X2266,X2264,X2265)
| X2266 != X2267
| ~ rpoint(X2267)
| X2265 != X2268
| ~ rpoint(X2268)
| X2264 != X2269
| ~ rpoint(X2269) ) ),
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)))'])])])]) ).
fof(i_0_263,plain,
! [X1655,X1656,X1657,X1658,X1659,X1660,X1661,X1662] :
( ~ ron(X1656,X1658)
| ~ ron(X1656,X1657)
| ~ ron(X1655,X1658)
| ~ ron(X1655,X1657)
| X1658 != X1659
| ~ rline(X1659)
| X1657 != X1660
| ~ rline(X1660)
| X1655 = X1656
| X1656 != X1661
| ~ rpoint(X1661)
| X1655 != X1662
| ~ rpoint(X1662)
| X1657 = X1658 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))'])])]) ).
fof(i_0_264,plain,
! [X1754,X1755,X1756,X1757] :
( ( vplus(X1754,X1756) = esk16_3(X1754,X1755,X1756)
| X1756 != X1757
| ~ rreal(X1757)
| X1754 != X1755
| ~ rreal(X1755) )
& ( rreal(esk16_3(X1754,X1755,X1756))
| X1756 != X1757
| ~ rreal(X1757)
| X1754 != X1755
| ~ rreal(X1755) ) ),
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)))'])])])])])]) ).
fof(i_0_265,plain,
! [X1669,X1670,X1671,X1672,X1673,X1674] :
( ~ ron(X1670,X1672)
| ~ rinside(X1669,X1672)
| ~ rinside(X1670,X1671)
| ~ ron(X1669,X1671)
| X1670 != X1673
| ~ rpoint(X1673)
| X1669 != X1674
| ~ rpoint(X1674)
| rintersect(X1671,X1672) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(135), 0), imp(cond(axiom(135), 0)))'])])]) ).
fof(i_0_266,plain,
! [X1622,X1623,X1624,X1625,X1626,X1627] :
( ( vf(X1624,X1622) != vf(X1624,X1626)
| ron(X1622,X1625)
| ~ ron(X1626,X1625)
| X1626 != X1627
| ~ rpoint(X1627)
| ~ rcenter(X1624,X1625)
| X1622 != X1623
| ~ rpoint(X1623) )
& ( ~ ron(X1622,X1625)
| vf(X1624,X1622) = vf(X1624,X1626)
| ~ ron(X1626,X1625)
| X1626 != X1627
| ~ rpoint(X1627)
| ~ rcenter(X1624,X1625)
| X1622 != X1623
| ~ rpoint(X1623) ) ),
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(i_0_267,plain,
! [X1732,X1733,X1734,X1735,X1736,X1737] :
( ~ rless(X1732,X1734)
| X1736 != X1737
| ~ rreal(X1737)
| X1734 != X1735
| ~ rreal(X1735)
| X1732 != X1733
| ~ rreal(X1733)
| rless(vplus(X1732,X1736),vplus(X1734,X1736)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))'])]) ).
fof(i_0_268,plain,
( vd1199 = vd1185
| rR(vd1199,vd1185,vd1186)
| rR(vd1185,vd1199,vd1186) ),
inference(fof_nnf,[status(thm)],['ass(cond(conseq(271), 3), 3)']) ).
fof(i_0_269,plain,
( vd1199 = vd1185
| rR(vd1185,vd1199,vd1186)
| rR(vd1199,vd1185,vd1186) ),
inference(fof_nnf,[status(thm)],['ass(cond(conseq(271), 3), 0)']) ).
fof(i_0_270,plain,
! [X1547] :
( ( ~ ron(vd1187,X1547)
| ~ ron(vd1186,X1547)
| ~ ron(vd1185,X1547)
| ~ rline(X1547) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vd1187 = esk1_0
& rpoint(esk1_0)
& vd1186 = esk2_0
& rpoint(esk2_0)
& vd1185 = esk3_0
& rpoint(esk3_0)
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& vd1180 = esk4_0
& rpoint(esk4_0)
& vd1179 = esk5_0
& rpoint(esk5_0)
& vd1178 = esk6_0
& rpoint(esk6_0) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))'])])])]) ).
fof(i_0_271,plain,
! [X1759,X1760,X1761,X1762,X1763,X1764] :
( ~ ron(X1759,X1763)
| ~ rinside(X1759,X1761)
| X1763 != X1764
| ~ rline(X1764)
| X1761 != X1762
| ~ rcircle(X1762)
| X1759 != X1760
| ~ rpoint(X1760)
| rintersect(X1763,X1761) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(131), 0), imp(cond(axiom(131), 0)))'])]) ).
fof(i_0_272,plain,
! [X1738,X1739,X1740,X1741,X1742,X1743] :
( ~ rless(X1740,X1742)
| ~ rless(X1738,X1740)
| X1742 != X1743
| ~ rreal(X1743)
| X1740 != X1741
| ~ rreal(X1741)
| X1738 != X1739
| ~ rreal(X1739)
| rless(X1738,X1742) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(151), 0), imp(cond(axiom(151), 0)))'])]) ).
fof(i_0_273,plain,
! [X1916,X1917,X1918,X1919] :
( ron(X1916,X1918)
| X1918 != X1919
| ~ rline(X1919)
| X1916 != X1917
| ~ rpoint(X1917)
| rS(X1916,X1916,X1918) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_181])]) ).
fof(i_0_274,plain,
! [X1693,X1694,X1695,X1696] :
( ( esk12_2(X1693,X1694) != esk13_2(X1693,X1694)
| ~ rintersect(X1693,X1694)
| X1694 != X1695
| ~ rcircle(X1695)
| X1693 != X1696
| ~ rcircle(X1696) )
& ( ron(esk13_2(X1693,X1694),X1694)
| ~ rintersect(X1693,X1694)
| X1694 != X1695
| ~ rcircle(X1695)
| X1693 != X1696
| ~ rcircle(X1696) )
& ( ron(esk13_2(X1693,X1694),X1693)
| ~ rintersect(X1693,X1694)
| X1694 != X1695
| ~ rcircle(X1695)
| X1693 != X1696
| ~ rcircle(X1696) )
& ( rpoint(esk13_2(X1693,X1694))
| ~ rintersect(X1693,X1694)
| X1694 != X1695
| ~ rcircle(X1695)
| X1693 != X1696
| ~ rcircle(X1696) )
& ( ron(esk12_2(X1693,X1694),X1694)
| ~ rintersect(X1693,X1694)
| X1694 != X1695
| ~ rcircle(X1695)
| X1693 != X1696
| ~ rcircle(X1696) )
& ( ron(esk12_2(X1693,X1694),X1693)
| ~ rintersect(X1693,X1694)
| X1694 != X1695
| ~ rcircle(X1695)
| X1693 != X1696
| ~ rcircle(X1696) )
& ( rpoint(esk12_2(X1693,X1694))
| ~ rintersect(X1693,X1694)
| X1694 != X1695
| ~ rcircle(X1695)
| X1693 != X1696
| ~ rcircle(X1696) ) ),
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(67), 0), imp(cond(axiom(67), 0)))'])])])])])]) ).
fof(i_0_275,plain,
( vd1199 = vd1185
| ~ rR(vd1199,vd1185,vd1186) ),
inference(fof_nnf,[status(thm)],[i_0_182]) ).
fof(i_0_276,plain,
( vd1199 = vd1185
| ~ rR(vd1185,vd1199,vd1186) ),
inference(fof_nnf,[status(thm)],[i_0_183]) ).
fof(i_0_277,plain,
~ rS(vd1186,vd1201,vd1232),
inference(fof_simplification,[status(thm)],['neg(298)']) ).
fof(i_0_278,plain,
~ rR(vd1186,vd1199,vd1185),
inference(fof_simplification,[status(thm)],['neg(neg(conjunct2(conjunct2(comma_conjunct2(plural(271))))))']) ).
fof(i_0_279,plain,
! [X1637,X1638,X1639,X1640,X1641,X1642] :
( vplus(X1637,X1641) != vplus(X1639,X1641)
| X1641 != X1642
| ~ rreal(X1642)
| X1639 != X1640
| ~ rreal(X1640)
| X1637 != X1638
| ~ rreal(X1638)
| X1637 = X1639 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(156, 0), 0)'])]) ).
fof(i_0_280,plain,
! [X2307,X2308,X2309,X2310] :
( X2308 != X2309
| ~ rpoint(X2309)
| X2307 != X2310
| ~ rpoint(X2310)
| vg(X2307,X2307,X2308) = v0 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(172), 0), imp(cond(axiom(172), 0)))'])])]) ).
fof(i_0_281,plain,
! [X1746,X1747,X1748,X1749] :
( ~ rless(X1746,X1748)
| X1748 != X1749
| ~ rreal(X1749)
| X1746 != X1747
| ~ rreal(X1747)
| ~ rless(X1748,X1746)
| X1746 = X1748 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_184])]) ).
fof(i_0_282,plain,
! [X1689,X1690,X1691,X1692] :
( ~ rinside(X1689,X1691)
| X1691 != X1692
| ~ rcircle(X1692)
| X1689 != X1690
| ~ rpoint(X1690)
| ~ ron(X1689,X1691) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_185])]) ).
fof(i_0_283,plain,
! [X1708,X1709,X1710,X1711] :
( ( ron(X1709,esk15_2(X1708,X1709))
| X1708 = X1709
| X1709 != X1710
| ~ rpoint(X1710)
| X1708 != X1711
| ~ rpoint(X1711) )
& ( rcenter(X1708,esk15_2(X1708,X1709))
| X1708 = X1709
| X1709 != X1710
| ~ rpoint(X1710)
| X1708 != X1711
| ~ rpoint(X1711) )
& ( rcircle(esk15_2(X1708,X1709))
| X1708 = X1709
| X1709 != X1710
| ~ rpoint(X1710)
| X1708 != X1711
| ~ rpoint(X1711) ) ),
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(i_0_284,plain,
! [X1557,X1558,X1559,X1560] :
( ( ron(X1558,esk10_2(X1557,X1558))
| X1557 = X1558
| X1558 != X1559
| ~ rpoint(X1559)
| X1557 != X1560
| ~ rpoint(X1560) )
& ( ron(X1557,esk10_2(X1557,X1558))
| X1557 = X1558
| X1558 != X1559
| ~ rpoint(X1559)
| X1557 != X1560
| ~ rpoint(X1560) )
& ( rline(esk10_2(X1557,X1558))
| X1557 = X1558
| X1558 != X1559
| ~ rpoint(X1559)
| X1557 != X1560
| ~ rpoint(X1560) ) ),
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)))'])])])])]) ).
fof(i_0_285,plain,
! [X2240,X2241,X2242,X2243] :
( X2241 != X2242
| ~ rpoint(X2242)
| X2240 != X2243
| ~ rpoint(X2243)
| rleq(v0,vf(X2240,X2241)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(164), 0), imp(cond(axiom(164), 0)))'])])]) ).
fof(i_0_286,plain,
! [X1962,X1963,X1964,X1965] :
( ~ rcenter(X1965,X1962)
| ~ rcenter(X1964,X1962)
| X1962 != X1963
| ~ rcircle(X1963)
| X1964 = X1965 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(75), 0), imp(cond(axiom(75), 0)))'])]) ).
fof(i_0_287,plain,
! [X2161,X2162] :
( ( X2162 = esk53_2(X2161,X2162)
| ~ rcenter(X2161,X2162) )
& ( rcircle(esk53_2(X2161,X2162))
| ~ rcenter(X2161,X2162) )
& ( X2161 = esk52_2(X2161,X2162)
| ~ rcenter(X2161,X2162) )
& ( rpoint(esk52_2(X2161,X2162))
| ~ rcenter(X2161,X2162) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(1), 0), imp(cond(axiom(1), 0)))'])])])])]) ).
fof(i_0_288,plain,
! [X1750,X1751,X1752,X1753] :
( X1752 != X1753
| ~ rreal(X1753)
| X1750 != X1751
| ~ rreal(X1751)
| rless(X1750,X1752)
| X1750 = X1752
| rless(X1752,X1750) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(145), 0), imp(cond(axiom(145), 0)))'])]) ).
fof(i_0_289,plain,
! [X1632,X1633,X1634,X1635] :
( ( vf(X1632,X1633) = esk11_2(X1632,X1633)
| X1633 != X1634
| ~ rpoint(X1634)
| X1632 != X1635
| ~ rpoint(X1635) )
& ( rreal(esk11_2(X1632,X1633))
| X1633 != X1634
| ~ rpoint(X1634)
| X1632 != X1635
| ~ rpoint(X1635) ) ),
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(i_0_290,plain,
! [X2146,X2147,X2148,X2149] :
( ( esk47_2(X2146,X2147) != X2147
| X2147 != X2148
| ~ rpoint(X2148)
| X2146 != X2149
| ~ rpoint(X2149) )
& ( esk47_2(X2146,X2147) != X2146
| X2147 != X2148
| ~ rpoint(X2148)
| X2146 != X2149
| ~ rpoint(X2149) )
& ( rpoint(esk47_2(X2146,X2147))
| X2147 != X2148
| ~ rpoint(X2148)
| X2146 != X2149
| ~ rpoint(X2149) ) ),
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(9), 0), imp(cond(axiom(9), 0)))'])])])])]) ).
fof(i_0_291,plain,
! [X1643,X1644,X1645,X1646] :
( X1645 != X1646
| ~ rreal(X1646)
| X1643 != X1644
| ~ rreal(X1644)
| vplus(X1643,X1645) = vplus(X1645,X1643) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))'])]) ).
fof(i_0_292,plain,
! [X1628,X1629,X1630,X1631] :
( X1629 != X1630
| ~ rpoint(X1630)
| X1628 != X1631
| ~ rpoint(X1631)
| vf(X1628,X1629) = vf(X1629,X1628) ),
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)))'])])]) ).
fof(i_0_293,plain,
! [X1580,X1581,X1582,X1583] :
( ( vf(X1580,X1581) != v0
| X1580 = X1581
| X1581 != X1582
| ~ rpoint(X1582)
| X1580 != X1583
| ~ rpoint(X1583) )
& ( X1580 != X1581
| vf(X1580,X1581) = v0
| X1581 != X1582
| ~ rpoint(X1582)
| X1580 != X1583
| ~ rpoint(X1583) ) ),
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)))'])])])]) ).
fof(i_0_294,plain,
! [X2016,X2017] :
( ( ~ ron(esk27_1(X2016),X2016)
| X2016 != X2017
| ~ rcircle(X2017) )
& ( ~ rinside(esk27_1(X2016),X2016)
| X2016 != X2017
| ~ rcircle(X2017) )
& ( rpoint(esk27_1(X2016))
| X2016 != X2017
| ~ rcircle(X2017) ) ),
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)],[i_0_186])])])])])]) ).
fof(i_0_295,plain,
! [X1960,X1961] :
( ~ rcenter(X1960,X1961)
| rinside(X1960,X1961) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))'])]) ).
fof(i_0_296,plain,
! [X1744,X1745] :
( X1744 != X1745
| ~ rreal(X1745)
| ~ rless(X1744,X1744) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_187])]) ).
fof(i_0_297,plain,
! [X2019,X2020] :
( ( rinside(esk28_1(X2019),X2019)
| X2019 != X2020
| ~ rcircle(X2020) )
& ( rpoint(esk28_1(X2019))
| X2019 != X2020
| ~ rcircle(X2020) ) ),
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(47), 0), imp(cond(axiom(47), 0)))'])])])])])]) ).
fof(i_0_298,plain,
! [X2127,X2128] :
( ( ron(esk44_1(X2127),X2127)
| X2127 != X2128
| ~ rline(X2128) )
& ( rpoint(esk44_1(X2127))
| X2127 != X2128
| ~ rline(X2128) ) ),
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(15), 0), imp(cond(axiom(15), 0)))'])])])])])]) ).
fof(i_0_299,plain,
! [X2034,X2035] :
( ( ron(esk31_1(X2034),X2034)
| X2034 != X2035
| ~ rcircle(X2035) )
& ( rpoint(esk31_1(X2034))
| X2034 != X2035
| ~ rcircle(X2035) ) ),
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(41), 0), imp(cond(axiom(41), 0)))'])])])])])]) ).
fof(i_0_300,plain,
! [X1647,X1648] :
( X1647 != X1648
| ~ rreal(X1648)
| vplus(X1647,v0) = X1647 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))'])]) ).
fof(i_0_301,plain,
! [X2151,X2152] :
( ( esk48_1(X2151) != X2151
| X2151 != X2152
| ~ rpoint(X2152) )
& ( rpoint(esk48_1(X2151))
| X2151 != X2152
| ~ rpoint(X2152) ) ),
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(7), 0), imp(cond(axiom(7), 0)))'])])])])])]) ).
fof(i_0_302,plain,
~ ron(vd1201,vd1232),
inference(fof_simplification,[status(thm)],['neg(neg(296))']) ).
fof(i_0_303,plain,
~ ron(vd1187,vd1197),
inference(fof_simplification,[status(thm)],['neg(neg(270))']) ).
fof(i_0_304,plain,
( vd1199 = esk9_0
& rpoint(esk9_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s1(plural(271)))'])]) ).
fof(i_0_305,plain,
( vd1200 = esk8_0
& rpoint(esk8_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s2(plural(271)))'])]) ).
fof(i_0_306,plain,
( vd1201 = esk7_0
& rpoint(esk7_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s3(plural(271)))'])]) ).
cnf(i_0_307,plain,
( vangle(X1,X2,X3) = vangle(X4,X5,X6)
| vangle(esk56_18(X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X1,X2,X3,X4,X5,X6,X17,X18),esk55_18(X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X1,X2,X3,X4,X5,X6,X17,X18),esk54_18(X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X1,X2,X3,X4,X5,X6,X17,X18)) = vangle(X9,X8,X7)
| ron(X12,X17)
| X8 = X9
| X7 = X9
| X7 = X8
| X17 != X18
| ~ ron(X11,X17)
| ~ ron(X10,X17)
| ~ rline(X18)
| X6 != X19
| ~ rpoint(X19)
| X5 != X20
| ~ rpoint(X20)
| X4 != X21
| ~ rpoint(X21)
| X3 != X22
| ~ rpoint(X22)
| X2 != X23
| ~ rpoint(X23)
| X1 != X24
| ~ rpoint(X24)
| X16 != X25
| ~ rpoint(X25)
| X15 != X26
| ~ rpoint(X26)
| X14 != X27
| ~ rpoint(X27)
| X13 != X28
| ~ rpoint(X28)
| X12 != X29
| ~ rpoint(X29)
| X11 != X30
| ~ rpoint(X30)
| X10 != X31
| ~ rpoint(X31)
| X9 != X32
| ~ rpoint(X32)
| X8 != X33
| ~ rpoint(X33)
| X7 != X34
| ~ rpoint(X34) ),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_308,plain,
( vangle(X1,X2,X3) = vangle(X4,X5,X6)
| vangle(esk55_18(X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X1,X2,X3,X4,X5,X6,X17,X18),esk54_18(X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X1,X2,X3,X4,X5,X6,X17,X18),esk56_18(X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X1,X2,X3,X4,X5,X6,X17,X18)) = vangle(X8,X7,X9)
| ron(X12,X17)
| X8 = X9
| X7 = X9
| X7 = X8
| X17 != X18
| ~ ron(X11,X17)
| ~ ron(X10,X17)
| ~ rline(X18)
| X6 != X19
| ~ rpoint(X19)
| X5 != X20
| ~ rpoint(X20)
| X4 != X21
| ~ rpoint(X21)
| X3 != X22
| ~ rpoint(X22)
| X2 != X23
| ~ rpoint(X23)
| X1 != X24
| ~ rpoint(X24)
| X16 != X25
| ~ rpoint(X25)
| X15 != X26
| ~ rpoint(X26)
| X14 != X27
| ~ rpoint(X27)
| X13 != X28
| ~ rpoint(X28)
| X12 != X29
| ~ rpoint(X29)
| X11 != X30
| ~ rpoint(X30)
| X10 != X31
| ~ rpoint(X31)
| X9 != X32
| ~ rpoint(X32)
| X8 != X33
| ~ rpoint(X33)
| X7 != X34
| ~ rpoint(X34) ),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_309,plain,
( vangle(X1,X2,X3) = vangle(X4,X5,X6)
| vangle(esk54_18(X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X1,X2,X3,X4,X5,X6,X17,X18),esk56_18(X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X1,X2,X3,X4,X5,X6,X17,X18),esk55_18(X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X1,X2,X3,X4,X5,X6,X17,X18)) = vangle(X7,X9,X8)
| ron(X12,X17)
| X8 = X9
| X7 = X9
| X7 = X8
| X17 != X18
| ~ ron(X11,X17)
| ~ ron(X10,X17)
| ~ rline(X18)
| X6 != X19
| ~ rpoint(X19)
| X5 != X20
| ~ rpoint(X20)
| X4 != X21
| ~ rpoint(X21)
| X3 != X22
| ~ rpoint(X22)
| X2 != X23
| ~ rpoint(X23)
| X1 != X24
| ~ rpoint(X24)
| X16 != X25
| ~ rpoint(X25)
| X15 != X26
| ~ rpoint(X26)
| X14 != X27
| ~ rpoint(X27)
| X13 != X28
| ~ rpoint(X28)
| X12 != X29
| ~ rpoint(X29)
| X11 != X30
| ~ rpoint(X30)
| X10 != X31
| ~ rpoint(X31)
| X9 != X32
| ~ rpoint(X32)
| X8 != X33
| ~ rpoint(X33)
| X7 != X34
| ~ rpoint(X34) ),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_310,plain,
( vf(X1,X2) = vf(X3,X4)
| vangle(esk56_18(X5,X6,X7,X8,X9,X10,X1,X2,X3,X4,X11,X12,X13,X14,X15,X16,X17,X18),esk55_18(X5,X6,X7,X8,X9,X10,X1,X2,X3,X4,X11,X12,X13,X14,X15,X16,X17,X18),esk54_18(X5,X6,X7,X8,X9,X10,X1,X2,X3,X4,X11,X12,X13,X14,X15,X16,X17,X18)) = vangle(X7,X6,X5)
| ron(X10,X17)
| X6 = X7
| X5 = X7
| X5 = X6
| X17 != X18
| ~ ron(X9,X17)
| ~ ron(X8,X17)
| ~ rline(X18)
| X16 != X19
| ~ rpoint(X19)
| X15 != X20
| ~ rpoint(X20)
| X14 != X21
| ~ rpoint(X21)
| X13 != X22
| ~ rpoint(X22)
| X12 != X23
| ~ rpoint(X23)
| X11 != X24
| ~ rpoint(X24)
| X4 != X25
| ~ rpoint(X25)
| X3 != X26
| ~ rpoint(X26)
| X2 != X27
| ~ rpoint(X27)
| X1 != X28
| ~ rpoint(X28)
| X10 != X29
| ~ rpoint(X29)
| X9 != X30
| ~ rpoint(X30)
| X8 != X31
| ~ rpoint(X31)
| X7 != X32
| ~ rpoint(X32)
| X6 != X33
| ~ rpoint(X33)
| X5 != X34
| ~ rpoint(X34) ),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_311,plain,
( vf(X1,X2) = vf(X3,X4)
| vangle(esk55_18(X5,X6,X7,X8,X9,X10,X1,X2,X3,X4,X11,X12,X13,X14,X15,X16,X17,X18),esk54_18(X5,X6,X7,X8,X9,X10,X1,X2,X3,X4,X11,X12,X13,X14,X15,X16,X17,X18),esk56_18(X5,X6,X7,X8,X9,X10,X1,X2,X3,X4,X11,X12,X13,X14,X15,X16,X17,X18)) = vangle(X6,X5,X7)
| ron(X10,X17)
| X6 = X7
| X5 = X7
| X5 = X6
| X17 != X18
| ~ ron(X9,X17)
| ~ ron(X8,X17)
| ~ rline(X18)
| X16 != X19
| ~ rpoint(X19)
| X15 != X20
| ~ rpoint(X20)
| X14 != X21
| ~ rpoint(X21)
| X13 != X22
| ~ rpoint(X22)
| X12 != X23
| ~ rpoint(X23)
| X11 != X24
| ~ rpoint(X24)
| X4 != X25
| ~ rpoint(X25)
| X3 != X26
| ~ rpoint(X26)
| X2 != X27
| ~ rpoint(X27)
| X1 != X28
| ~ rpoint(X28)
| X10 != X29
| ~ rpoint(X29)
| X9 != X30
| ~ rpoint(X30)
| X8 != X31
| ~ rpoint(X31)
| X7 != X32
| ~ rpoint(X32)
| X6 != X33
| ~ rpoint(X33)
| X5 != X34
| ~ rpoint(X34) ),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_312,plain,
( vf(X1,X2) = vf(X3,X4)
| vangle(esk54_18(X5,X6,X7,X8,X9,X10,X1,X2,X3,X4,X11,X12,X13,X14,X15,X16,X17,X18),esk56_18(X5,X6,X7,X8,X9,X10,X1,X2,X3,X4,X11,X12,X13,X14,X15,X16,X17,X18),esk55_18(X5,X6,X7,X8,X9,X10,X1,X2,X3,X4,X11,X12,X13,X14,X15,X16,X17,X18)) = vangle(X5,X7,X6)
| ron(X10,X17)
| X6 = X7
| X5 = X7
| X5 = X6
| X17 != X18
| ~ ron(X9,X17)
| ~ ron(X8,X17)
| ~ rline(X18)
| X16 != X19
| ~ rpoint(X19)
| X15 != X20
| ~ rpoint(X20)
| X14 != X21
| ~ rpoint(X21)
| X13 != X22
| ~ rpoint(X22)
| X12 != X23
| ~ rpoint(X23)
| X11 != X24
| ~ rpoint(X24)
| X4 != X25
| ~ rpoint(X25)
| X3 != X26
| ~ rpoint(X26)
| X2 != X27
| ~ rpoint(X27)
| X1 != X28
| ~ rpoint(X28)
| X10 != X29
| ~ rpoint(X29)
| X9 != X30
| ~ rpoint(X30)
| X8 != X31
| ~ rpoint(X31)
| X7 != X32
| ~ rpoint(X32)
| X6 != X33
| ~ rpoint(X33)
| X5 != X34
| ~ rpoint(X34) ),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_313,plain,
( vangle(X1,X2,X3) = vangle(X4,X5,X6)
| vf(X7,X8) = vf(esk55_18(X9,X7,X8,X10,X11,X12,X13,X14,X15,X16,X1,X2,X3,X4,X5,X6,X17,X18),esk56_18(X9,X7,X8,X10,X11,X12,X13,X14,X15,X16,X1,X2,X3,X4,X5,X6,X17,X18))
| ron(X12,X17)
| X7 = X8
| X9 = X8
| X9 = X7
| X17 != X18
| ~ ron(X11,X17)
| ~ ron(X10,X17)
| ~ rline(X18)
| X6 != X19
| ~ rpoint(X19)
| X5 != X20
| ~ rpoint(X20)
| X4 != X21
| ~ rpoint(X21)
| X3 != X22
| ~ rpoint(X22)
| X2 != X23
| ~ rpoint(X23)
| X1 != X24
| ~ rpoint(X24)
| X16 != X25
| ~ rpoint(X25)
| X15 != X26
| ~ rpoint(X26)
| X14 != X27
| ~ rpoint(X27)
| X13 != X28
| ~ rpoint(X28)
| X12 != X29
| ~ rpoint(X29)
| X11 != X30
| ~ rpoint(X30)
| X10 != X31
| ~ rpoint(X31)
| X8 != X32
| ~ rpoint(X32)
| X7 != X33
| ~ rpoint(X33)
| X9 != X34
| ~ rpoint(X34) ),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_314,plain,
( vangle(X1,X2,X3) = vangle(X4,X5,X6)
| vf(X7,X8) = vf(esk54_18(X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X1,X2,X3,X4,X5,X6,X17,X18),esk55_18(X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X1,X2,X3,X4,X5,X6,X17,X18))
| ron(X12,X17)
| X8 = X9
| X7 = X9
| X7 = X8
| X17 != X18
| ~ ron(X11,X17)
| ~ ron(X10,X17)
| ~ rline(X18)
| X6 != X19
| ~ rpoint(X19)
| X5 != X20
| ~ rpoint(X20)
| X4 != X21
| ~ rpoint(X21)
| X3 != X22
| ~ rpoint(X22)
| X2 != X23
| ~ rpoint(X23)
| X1 != X24
| ~ rpoint(X24)
| X16 != X25
| ~ rpoint(X25)
| X15 != X26
| ~ rpoint(X26)
| X14 != X27
| ~ rpoint(X27)
| X13 != X28
| ~ rpoint(X28)
| X12 != X29
| ~ rpoint(X29)
| X11 != X30
| ~ rpoint(X30)
| X10 != X31
| ~ rpoint(X31)
| X9 != X32
| ~ rpoint(X32)
| X8 != X33
| ~ rpoint(X33)
| X7 != X34
| ~ rpoint(X34) ),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_315,plain,
( vangle(X1,X2,X3) = vangle(X4,X5,X6)
| vf(X7,X8) = vf(esk54_18(X7,X9,X8,X10,X11,X12,X13,X14,X15,X16,X1,X2,X3,X4,X5,X6,X17,X18),esk56_18(X7,X9,X8,X10,X11,X12,X13,X14,X15,X16,X1,X2,X3,X4,X5,X6,X17,X18))
| ron(X12,X17)
| X9 = X8
| X7 = X8
| X7 = X9
| X17 != X18
| ~ ron(X11,X17)
| ~ ron(X10,X17)
| ~ rline(X18)
| X6 != X19
| ~ rpoint(X19)
| X5 != X20
| ~ rpoint(X20)
| X4 != X21
| ~ rpoint(X21)
| X3 != X22
| ~ rpoint(X22)
| X2 != X23
| ~ rpoint(X23)
| X1 != X24
| ~ rpoint(X24)
| X16 != X25
| ~ rpoint(X25)
| X15 != X26
| ~ rpoint(X26)
| X14 != X27
| ~ rpoint(X27)
| X13 != X28
| ~ rpoint(X28)
| X12 != X29
| ~ rpoint(X29)
| X11 != X30
| ~ rpoint(X30)
| X10 != X31
| ~ rpoint(X31)
| X8 != X32
| ~ rpoint(X32)
| X9 != X33
| ~ rpoint(X33)
| X7 != X34
| ~ rpoint(X34) ),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_316,plain,
( vf(X1,X2) = vf(X3,X4)
| vf(X5,X6) = vf(esk55_18(X7,X5,X6,X8,X9,X10,X1,X2,X3,X4,X11,X12,X13,X14,X15,X16,X17,X18),esk56_18(X7,X5,X6,X8,X9,X10,X1,X2,X3,X4,X11,X12,X13,X14,X15,X16,X17,X18))
| ron(X10,X17)
| X5 = X6
| X7 = X6
| X7 = X5
| X17 != X18
| ~ ron(X9,X17)
| ~ ron(X8,X17)
| ~ rline(X18)
| X16 != X19
| ~ rpoint(X19)
| X15 != X20
| ~ rpoint(X20)
| X14 != X21
| ~ rpoint(X21)
| X13 != X22
| ~ rpoint(X22)
| X12 != X23
| ~ rpoint(X23)
| X11 != X24
| ~ rpoint(X24)
| X4 != X25
| ~ rpoint(X25)
| X3 != X26
| ~ rpoint(X26)
| X2 != X27
| ~ rpoint(X27)
| X1 != X28
| ~ rpoint(X28)
| X10 != X29
| ~ rpoint(X29)
| X9 != X30
| ~ rpoint(X30)
| X8 != X31
| ~ rpoint(X31)
| X6 != X32
| ~ rpoint(X32)
| X5 != X33
| ~ rpoint(X33)
| X7 != X34
| ~ rpoint(X34) ),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_317,plain,
( vf(X1,X2) = vf(X3,X4)
| vf(X5,X6) = vf(esk54_18(X5,X6,X7,X8,X9,X10,X1,X2,X3,X4,X11,X12,X13,X14,X15,X16,X17,X18),esk55_18(X5,X6,X7,X8,X9,X10,X1,X2,X3,X4,X11,X12,X13,X14,X15,X16,X17,X18))
| ron(X10,X17)
| X6 = X7
| X5 = X7
| X5 = X6
| X17 != X18
| ~ ron(X9,X17)
| ~ ron(X8,X17)
| ~ rline(X18)
| X16 != X19
| ~ rpoint(X19)
| X15 != X20
| ~ rpoint(X20)
| X14 != X21
| ~ rpoint(X21)
| X13 != X22
| ~ rpoint(X22)
| X12 != X23
| ~ rpoint(X23)
| X11 != X24
| ~ rpoint(X24)
| X4 != X25
| ~ rpoint(X25)
| X3 != X26
| ~ rpoint(X26)
| X2 != X27
| ~ rpoint(X27)
| X1 != X28
| ~ rpoint(X28)
| X10 != X29
| ~ rpoint(X29)
| X9 != X30
| ~ rpoint(X30)
| X8 != X31
| ~ rpoint(X31)
| X7 != X32
| ~ rpoint(X32)
| X6 != X33
| ~ rpoint(X33)
| X5 != X34
| ~ rpoint(X34) ),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_318,plain,
( vf(X1,X2) = vf(X3,X4)
| vf(X5,X6) = vf(esk54_18(X5,X7,X6,X8,X9,X10,X1,X2,X3,X4,X11,X12,X13,X14,X15,X16,X17,X18),esk56_18(X5,X7,X6,X8,X9,X10,X1,X2,X3,X4,X11,X12,X13,X14,X15,X16,X17,X18))
| ron(X10,X17)
| X7 = X6
| X5 = X6
| X5 = X7
| X17 != X18
| ~ ron(X9,X17)
| ~ ron(X8,X17)
| ~ rline(X18)
| X16 != X19
| ~ rpoint(X19)
| X15 != X20
| ~ rpoint(X20)
| X14 != X21
| ~ rpoint(X21)
| X13 != X22
| ~ rpoint(X22)
| X12 != X23
| ~ rpoint(X23)
| X11 != X24
| ~ rpoint(X24)
| X4 != X25
| ~ rpoint(X25)
| X3 != X26
| ~ rpoint(X26)
| X2 != X27
| ~ rpoint(X27)
| X1 != X28
| ~ rpoint(X28)
| X10 != X29
| ~ rpoint(X29)
| X9 != X30
| ~ rpoint(X30)
| X8 != X31
| ~ rpoint(X31)
| X6 != X32
| ~ rpoint(X32)
| X7 != X33
| ~ rpoint(X33)
| X5 != X34
| ~ rpoint(X34) ),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_319,plain,
( vangle(X1,X2,X3) = vangle(X4,X5,X6)
| ron(X12,X17)
| X9 = X10
| X8 = X10
| X8 = X9
| ~ rR(X7,esk55_18(X8,X9,X10,X7,X11,X12,X13,X14,X15,X16,X1,X2,X3,X4,X5,X6,X17,X18),X11)
| X17 != X18
| ~ ron(X11,X17)
| ~ ron(X7,X17)
| ~ rline(X18)
| X6 != X19
| ~ rpoint(X19)
| X5 != X20
| ~ rpoint(X20)
| X4 != X21
| ~ rpoint(X21)
| X3 != X22
| ~ rpoint(X22)
| X2 != X23
| ~ rpoint(X23)
| X1 != X24
| ~ rpoint(X24)
| X16 != X25
| ~ rpoint(X25)
| X15 != X26
| ~ rpoint(X26)
| X14 != X27
| ~ rpoint(X27)
| X13 != X28
| ~ rpoint(X28)
| X12 != X29
| ~ rpoint(X29)
| X11 != X30
| ~ rpoint(X30)
| X7 != X31
| ~ rpoint(X31)
| X10 != X32
| ~ rpoint(X32)
| X9 != X33
| ~ rpoint(X33)
| X8 != X34
| ~ rpoint(X34) ),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_320,plain,
( vf(X1,X2) = vf(X3,X4)
| ron(X10,X17)
| X7 = X8
| X6 = X8
| X6 = X7
| ~ rR(X5,esk55_18(X6,X7,X8,X5,X9,X10,X1,X2,X3,X4,X11,X12,X13,X14,X15,X16,X17,X18),X9)
| X17 != X18
| ~ ron(X9,X17)
| ~ ron(X5,X17)
| ~ rline(X18)
| X16 != X19
| ~ rpoint(X19)
| X15 != X20
| ~ rpoint(X20)
| X14 != X21
| ~ rpoint(X21)
| X13 != X22
| ~ rpoint(X22)
| X12 != X23
| ~ rpoint(X23)
| X11 != X24
| ~ rpoint(X24)
| X4 != X25
| ~ rpoint(X25)
| X3 != X26
| ~ rpoint(X26)
| X2 != X27
| ~ rpoint(X27)
| X1 != X28
| ~ rpoint(X28)
| X10 != X29
| ~ rpoint(X29)
| X9 != X30
| ~ rpoint(X30)
| X5 != X31
| ~ rpoint(X31)
| X8 != X32
| ~ rpoint(X32)
| X7 != X33
| ~ rpoint(X33)
| X6 != X34
| ~ rpoint(X34) ),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_321,plain,
( vangle(X1,X2,X3) = vangle(X4,X5,X6)
| rS(esk56_18(X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X1,X2,X3,X4,X5,X6,X17,X18),X12,X17)
| ron(X12,X17)
| X8 = X9
| X7 = X9
| X7 = X8
| X17 != X18
| ~ ron(X11,X17)
| ~ ron(X10,X17)
| ~ rline(X18)
| X6 != X19
| ~ rpoint(X19)
| X5 != X20
| ~ rpoint(X20)
| X4 != X21
| ~ rpoint(X21)
| X3 != X22
| ~ rpoint(X22)
| X2 != X23
| ~ rpoint(X23)
| X1 != X24
| ~ rpoint(X24)
| X16 != X25
| ~ rpoint(X25)
| X15 != X26
| ~ rpoint(X26)
| X14 != X27
| ~ rpoint(X27)
| X13 != X28
| ~ rpoint(X28)
| X12 != X29
| ~ rpoint(X29)
| X11 != X30
| ~ rpoint(X30)
| X10 != X31
| ~ rpoint(X31)
| X9 != X32
| ~ rpoint(X32)
| X8 != X33
| ~ rpoint(X33)
| X7 != X34
| ~ rpoint(X34) ),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_322,plain,
( vangle(X1,X2,X3) = vangle(X4,X5,X6)
| ron(esk55_18(X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X1,X2,X3,X4,X5,X6,X17,X18),X17)
| ron(X12,X17)
| X8 = X9
| X7 = X9
| X7 = X8
| X17 != X18
| ~ ron(X11,X17)
| ~ ron(X10,X17)
| ~ rline(X18)
| X6 != X19
| ~ rpoint(X19)
| X5 != X20
| ~ rpoint(X20)
| X4 != X21
| ~ rpoint(X21)
| X3 != X22
| ~ rpoint(X22)
| X2 != X23
| ~ rpoint(X23)
| X1 != X24
| ~ rpoint(X24)
| X16 != X25
| ~ rpoint(X25)
| X15 != X26
| ~ rpoint(X26)
| X14 != X27
| ~ rpoint(X27)
| X13 != X28
| ~ rpoint(X28)
| X12 != X29
| ~ rpoint(X29)
| X11 != X30
| ~ rpoint(X30)
| X10 != X31
| ~ rpoint(X31)
| X9 != X32
| ~ rpoint(X32)
| X8 != X33
| ~ rpoint(X33)
| X7 != X34
| ~ rpoint(X34) ),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_323,plain,
( vangle(X1,X2,X3) = vangle(X4,X5,X6)
| rpoint(esk56_18(X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X1,X2,X3,X4,X5,X6,X17,X18))
| ron(X12,X17)
| X8 = X9
| X7 = X9
| X7 = X8
| X17 != X18
| ~ ron(X11,X17)
| ~ ron(X10,X17)
| ~ rline(X18)
| X6 != X19
| ~ rpoint(X19)
| X5 != X20
| ~ rpoint(X20)
| X4 != X21
| ~ rpoint(X21)
| X3 != X22
| ~ rpoint(X22)
| X2 != X23
| ~ rpoint(X23)
| X1 != X24
| ~ rpoint(X24)
| X16 != X25
| ~ rpoint(X25)
| X15 != X26
| ~ rpoint(X26)
| X14 != X27
| ~ rpoint(X27)
| X13 != X28
| ~ rpoint(X28)
| X12 != X29
| ~ rpoint(X29)
| X11 != X30
| ~ rpoint(X30)
| X10 != X31
| ~ rpoint(X31)
| X9 != X32
| ~ rpoint(X32)
| X8 != X33
| ~ rpoint(X33)
| X7 != X34
| ~ rpoint(X34) ),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_324,plain,
( vangle(X1,X2,X3) = vangle(X4,X5,X6)
| rpoint(esk55_18(X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X1,X2,X3,X4,X5,X6,X17,X18))
| ron(X12,X17)
| X8 = X9
| X7 = X9
| X7 = X8
| X17 != X18
| ~ ron(X11,X17)
| ~ ron(X10,X17)
| ~ rline(X18)
| X6 != X19
| ~ rpoint(X19)
| X5 != X20
| ~ rpoint(X20)
| X4 != X21
| ~ rpoint(X21)
| X3 != X22
| ~ rpoint(X22)
| X2 != X23
| ~ rpoint(X23)
| X1 != X24
| ~ rpoint(X24)
| X16 != X25
| ~ rpoint(X25)
| X15 != X26
| ~ rpoint(X26)
| X14 != X27
| ~ rpoint(X27)
| X13 != X28
| ~ rpoint(X28)
| X12 != X29
| ~ rpoint(X29)
| X11 != X30
| ~ rpoint(X30)
| X10 != X31
| ~ rpoint(X31)
| X9 != X32
| ~ rpoint(X32)
| X8 != X33
| ~ rpoint(X33)
| X7 != X34
| ~ rpoint(X34) ),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_325,plain,
( vangle(X1,X2,X3) = vangle(X4,X5,X6)
| rpoint(esk54_18(X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X1,X2,X3,X4,X5,X6,X17,X18))
| ron(X12,X17)
| X8 = X9
| X7 = X9
| X7 = X8
| X17 != X18
| ~ ron(X11,X17)
| ~ ron(X10,X17)
| ~ rline(X18)
| X6 != X19
| ~ rpoint(X19)
| X5 != X20
| ~ rpoint(X20)
| X4 != X21
| ~ rpoint(X21)
| X3 != X22
| ~ rpoint(X22)
| X2 != X23
| ~ rpoint(X23)
| X1 != X24
| ~ rpoint(X24)
| X16 != X25
| ~ rpoint(X25)
| X15 != X26
| ~ rpoint(X26)
| X14 != X27
| ~ rpoint(X27)
| X13 != X28
| ~ rpoint(X28)
| X12 != X29
| ~ rpoint(X29)
| X11 != X30
| ~ rpoint(X30)
| X10 != X31
| ~ rpoint(X31)
| X9 != X32
| ~ rpoint(X32)
| X8 != X33
| ~ rpoint(X33)
| X7 != X34
| ~ rpoint(X34) ),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_326,plain,
( vf(X1,X2) = vf(X3,X4)
| rS(esk56_18(X5,X6,X7,X8,X9,X10,X1,X2,X3,X4,X11,X12,X13,X14,X15,X16,X17,X18),X10,X17)
| ron(X10,X17)
| X6 = X7
| X5 = X7
| X5 = X6
| X17 != X18
| ~ ron(X9,X17)
| ~ ron(X8,X17)
| ~ rline(X18)
| X16 != X19
| ~ rpoint(X19)
| X15 != X20
| ~ rpoint(X20)
| X14 != X21
| ~ rpoint(X21)
| X13 != X22
| ~ rpoint(X22)
| X12 != X23
| ~ rpoint(X23)
| X11 != X24
| ~ rpoint(X24)
| X4 != X25
| ~ rpoint(X25)
| X3 != X26
| ~ rpoint(X26)
| X2 != X27
| ~ rpoint(X27)
| X1 != X28
| ~ rpoint(X28)
| X10 != X29
| ~ rpoint(X29)
| X9 != X30
| ~ rpoint(X30)
| X8 != X31
| ~ rpoint(X31)
| X7 != X32
| ~ rpoint(X32)
| X6 != X33
| ~ rpoint(X33)
| X5 != X34
| ~ rpoint(X34) ),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_327,plain,
( vf(X1,X2) = vf(X3,X4)
| ron(esk55_18(X5,X6,X7,X8,X9,X10,X1,X2,X3,X4,X11,X12,X13,X14,X15,X16,X17,X18),X17)
| ron(X10,X17)
| X6 = X7
| X5 = X7
| X5 = X6
| X17 != X18
| ~ ron(X9,X17)
| ~ ron(X8,X17)
| ~ rline(X18)
| X16 != X19
| ~ rpoint(X19)
| X15 != X20
| ~ rpoint(X20)
| X14 != X21
| ~ rpoint(X21)
| X13 != X22
| ~ rpoint(X22)
| X12 != X23
| ~ rpoint(X23)
| X11 != X24
| ~ rpoint(X24)
| X4 != X25
| ~ rpoint(X25)
| X3 != X26
| ~ rpoint(X26)
| X2 != X27
| ~ rpoint(X27)
| X1 != X28
| ~ rpoint(X28)
| X10 != X29
| ~ rpoint(X29)
| X9 != X30
| ~ rpoint(X30)
| X8 != X31
| ~ rpoint(X31)
| X7 != X32
| ~ rpoint(X32)
| X6 != X33
| ~ rpoint(X33)
| X5 != X34
| ~ rpoint(X34) ),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_328,plain,
( vf(X1,X2) = vf(X3,X4)
| rpoint(esk56_18(X5,X6,X7,X8,X9,X10,X1,X2,X3,X4,X11,X12,X13,X14,X15,X16,X17,X18))
| ron(X10,X17)
| X6 = X7
| X5 = X7
| X5 = X6
| X17 != X18
| ~ ron(X9,X17)
| ~ ron(X8,X17)
| ~ rline(X18)
| X16 != X19
| ~ rpoint(X19)
| X15 != X20
| ~ rpoint(X20)
| X14 != X21
| ~ rpoint(X21)
| X13 != X22
| ~ rpoint(X22)
| X12 != X23
| ~ rpoint(X23)
| X11 != X24
| ~ rpoint(X24)
| X4 != X25
| ~ rpoint(X25)
| X3 != X26
| ~ rpoint(X26)
| X2 != X27
| ~ rpoint(X27)
| X1 != X28
| ~ rpoint(X28)
| X10 != X29
| ~ rpoint(X29)
| X9 != X30
| ~ rpoint(X30)
| X8 != X31
| ~ rpoint(X31)
| X7 != X32
| ~ rpoint(X32)
| X6 != X33
| ~ rpoint(X33)
| X5 != X34
| ~ rpoint(X34) ),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_329,plain,
( vf(X1,X2) = vf(X3,X4)
| rpoint(esk55_18(X5,X6,X7,X8,X9,X10,X1,X2,X3,X4,X11,X12,X13,X14,X15,X16,X17,X18))
| ron(X10,X17)
| X6 = X7
| X5 = X7
| X5 = X6
| X17 != X18
| ~ ron(X9,X17)
| ~ ron(X8,X17)
| ~ rline(X18)
| X16 != X19
| ~ rpoint(X19)
| X15 != X20
| ~ rpoint(X20)
| X14 != X21
| ~ rpoint(X21)
| X13 != X22
| ~ rpoint(X22)
| X12 != X23
| ~ rpoint(X23)
| X11 != X24
| ~ rpoint(X24)
| X4 != X25
| ~ rpoint(X25)
| X3 != X26
| ~ rpoint(X26)
| X2 != X27
| ~ rpoint(X27)
| X1 != X28
| ~ rpoint(X28)
| X10 != X29
| ~ rpoint(X29)
| X9 != X30
| ~ rpoint(X30)
| X8 != X31
| ~ rpoint(X31)
| X7 != X32
| ~ rpoint(X32)
| X6 != X33
| ~ rpoint(X33)
| X5 != X34
| ~ rpoint(X34) ),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_330,plain,
( vf(X1,X2) = vf(X3,X4)
| rpoint(esk54_18(X5,X6,X7,X8,X9,X10,X1,X2,X3,X4,X11,X12,X13,X14,X15,X16,X17,X18))
| ron(X10,X17)
| X6 = X7
| X5 = X7
| X5 = X6
| X17 != X18
| ~ ron(X9,X17)
| ~ ron(X8,X17)
| ~ rline(X18)
| X16 != X19
| ~ rpoint(X19)
| X15 != X20
| ~ rpoint(X20)
| X14 != X21
| ~ rpoint(X21)
| X13 != X22
| ~ rpoint(X22)
| X12 != X23
| ~ rpoint(X23)
| X11 != X24
| ~ rpoint(X24)
| X4 != X25
| ~ rpoint(X25)
| X3 != X26
| ~ rpoint(X26)
| X2 != X27
| ~ rpoint(X27)
| X1 != X28
| ~ rpoint(X28)
| X10 != X29
| ~ rpoint(X29)
| X9 != X30
| ~ rpoint(X30)
| X8 != X31
| ~ rpoint(X31)
| X7 != X32
| ~ rpoint(X32)
| X6 != X33
| ~ rpoint(X33)
| X5 != X34
| ~ rpoint(X34) ),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_331,plain,
( vangle(X1,X2,X3) = vangle(X4,X5,X6)
| esk54_18(X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X1,X2,X3,X4,X5,X6,X17,X18) = X10
| ron(X12,X17)
| X8 = X9
| X7 = X9
| X7 = X8
| X17 != X18
| ~ ron(X11,X17)
| ~ ron(X10,X17)
| ~ rline(X18)
| X6 != X19
| ~ rpoint(X19)
| X5 != X20
| ~ rpoint(X20)
| X4 != X21
| ~ rpoint(X21)
| X3 != X22
| ~ rpoint(X22)
| X2 != X23
| ~ rpoint(X23)
| X1 != X24
| ~ rpoint(X24)
| X16 != X25
| ~ rpoint(X25)
| X15 != X26
| ~ rpoint(X26)
| X14 != X27
| ~ rpoint(X27)
| X13 != X28
| ~ rpoint(X28)
| X12 != X29
| ~ rpoint(X29)
| X11 != X30
| ~ rpoint(X30)
| X10 != X31
| ~ rpoint(X31)
| X9 != X32
| ~ rpoint(X32)
| X8 != X33
| ~ rpoint(X33)
| X7 != X34
| ~ rpoint(X34) ),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_332,plain,
( vf(X1,X2) = vf(X3,X4)
| esk54_18(X5,X6,X7,X8,X9,X10,X1,X2,X3,X4,X11,X12,X13,X14,X15,X16,X17,X18) = X8
| ron(X10,X17)
| X6 = X7
| X5 = X7
| X5 = X6
| X17 != X18
| ~ ron(X9,X17)
| ~ ron(X8,X17)
| ~ rline(X18)
| X16 != X19
| ~ rpoint(X19)
| X15 != X20
| ~ rpoint(X20)
| X14 != X21
| ~ rpoint(X21)
| X13 != X22
| ~ rpoint(X22)
| X12 != X23
| ~ rpoint(X23)
| X11 != X24
| ~ rpoint(X24)
| X4 != X25
| ~ rpoint(X25)
| X3 != X26
| ~ rpoint(X26)
| X2 != X27
| ~ rpoint(X27)
| X1 != X28
| ~ rpoint(X28)
| X10 != X29
| ~ rpoint(X29)
| X9 != X30
| ~ rpoint(X30)
| X8 != X31
| ~ rpoint(X31)
| X7 != X32
| ~ rpoint(X32)
| X6 != X33
| ~ rpoint(X33)
| X5 != X34
| ~ rpoint(X34) ),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_333,plain,
( X1 = X2
| X3 = X4
| rR(vskolem1120(X3,X8,X4,X7,X1,X6,X2,X5),X3,X4)
| ~ rless(vf(X1,X2),vf(X3,X4))
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X4 != X7
| ~ rpoint(X7)
| X3 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[i_0_189]),
[final] ).
cnf(i_0_334,plain,
( X1 = X2
| X3 = X4
| vf(X3,vskolem1120(X3,X8,X4,X7,X1,X6,X2,X5)) = vf(X1,X2)
| ~ rless(vf(X1,X2),vf(X3,X4))
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X4 != X7
| ~ rpoint(X7)
| X3 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[i_0_190]),
[final] ).
cnf(i_0_335,plain,
( X1 = X2
| X3 = X4
| rpoint(vskolem1120(X3,X8,X4,X7,X1,X6,X2,X5))
| ~ rless(vf(X1,X2),vf(X3,X4))
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X4 != X7
| ~ rpoint(X7)
| X3 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[i_0_191]),
[final] ).
cnf(i_0_336,plain,
( ron(X7,X3)
| ~ rS(esk19_7(X1,X2,X3,X4,X5,X6,X7),X7,X3)
| ~ ron(X6,X3)
| ~ ron(X5,X3)
| ~ rcenter(X6,X2)
| ~ rcenter(X5,X1)
| ~ rintersect(X1,X2)
| X3 != X4
| ~ rline(X4)
| X2 != X8
| ~ rcircle(X8)
| X1 != X9
| ~ rcircle(X9) ),
inference(split_conjunct,[status(thm)],[i_0_192]),
[final] ).
cnf(i_0_337,plain,
( rS(esk33_7(X1,X2,X3,X4,X5,X6,X7),X3,X1)
| ron(X3,X1)
| X3 != X4
| X5 != X6
| X7 != X8
| ~ rS(X7,X3,X1)
| ~ rpoint(X8)
| ~ rS(X5,X3,X1)
| ~ rpoint(X6)
| ~ rpoint(X4)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_193]),
[final] ).
cnf(i_0_338,plain,
( rpoint(esk33_7(X1,X2,X3,X4,X5,X6,X7))
| ron(X3,X1)
| X3 != X4
| X5 != X6
| X7 != X8
| ~ rS(X7,X3,X1)
| ~ rpoint(X8)
| ~ rS(X5,X3,X1)
| ~ rpoint(X6)
| ~ rpoint(X4)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_193]),
[final] ).
cnf(i_0_339,plain,
( rS(esk20_7(X1,X2,X3,X4,X5,X6,X7),X7,X3)
| ron(X7,X3)
| ~ ron(X6,X3)
| ~ ron(X5,X3)
| ~ rcenter(X6,X2)
| ~ rcenter(X5,X1)
| ~ rintersect(X1,X2)
| X3 != X4
| ~ rline(X4)
| X2 != X8
| ~ rcircle(X8)
| X1 != X9
| ~ rcircle(X9) ),
inference(split_conjunct,[status(thm)],[i_0_194]),
[final] ).
cnf(i_0_340,plain,
( rR(esk14_7(X1,X2,X3,X4,X5,X6,X7),X5,X7)
| ron(X7,X1)
| rinside(X7,X1)
| ~ ron(X7,X3)
| X7 != X8
| ~ rpoint(X8)
| ~ ron(X5,X3)
| ~ rinside(X5,X1)
| X5 != X6
| ~ rpoint(X6)
| X3 != X4
| ~ rline(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_195]),
[final] ).
cnf(i_0_341,plain,
( ron(esk20_7(X1,X2,X3,X4,X5,X6,X7),X1)
| ron(X7,X3)
| ~ ron(X6,X3)
| ~ ron(X5,X3)
| ~ rcenter(X6,X2)
| ~ rcenter(X5,X1)
| ~ rintersect(X1,X2)
| X3 != X4
| ~ rline(X4)
| X2 != X8
| ~ rcircle(X8)
| X1 != X9
| ~ rcircle(X9) ),
inference(split_conjunct,[status(thm)],[i_0_194]),
[final] ).
cnf(i_0_342,plain,
( ron(esk20_7(X1,X2,X3,X4,X5,X6,X7),X2)
| ron(X7,X3)
| ~ ron(X6,X3)
| ~ ron(X5,X3)
| ~ rcenter(X6,X2)
| ~ rcenter(X5,X1)
| ~ rintersect(X1,X2)
| X3 != X4
| ~ rline(X4)
| X2 != X8
| ~ rcircle(X8)
| X1 != X9
| ~ rcircle(X9) ),
inference(split_conjunct,[status(thm)],[i_0_194]),
[final] ).
cnf(i_0_343,plain,
( ron(esk19_7(X1,X2,X3,X4,X5,X6,X7),X1)
| ron(X7,X3)
| ~ ron(X6,X3)
| ~ ron(X5,X3)
| ~ rcenter(X6,X2)
| ~ rcenter(X5,X1)
| ~ rintersect(X1,X2)
| X3 != X4
| ~ rline(X4)
| X2 != X8
| ~ rcircle(X8)
| X1 != X9
| ~ rcircle(X9) ),
inference(split_conjunct,[status(thm)],[i_0_192]),
[final] ).
cnf(i_0_344,plain,
( ron(esk19_7(X1,X2,X3,X4,X5,X6,X7),X2)
| ron(X7,X3)
| ~ ron(X6,X3)
| ~ ron(X5,X3)
| ~ rcenter(X6,X2)
| ~ rcenter(X5,X1)
| ~ rintersect(X1,X2)
| X3 != X4
| ~ rline(X4)
| X2 != X8
| ~ rcircle(X8)
| X1 != X9
| ~ rcircle(X9) ),
inference(split_conjunct,[status(thm)],[i_0_192]),
[final] ).
cnf(i_0_345,plain,
( rR(X1,esk22_7(X2,X3,X4,X5,X1,X6,X7),X7)
| X7 = X1
| ~ ron(X7,X4)
| X7 != X8
| ~ rpoint(X8)
| ~ ron(X1,X4)
| ~ rinside(X1,X2)
| X1 != X6
| ~ rpoint(X6)
| X4 != X5
| ~ rline(X5)
| X2 != X3
| ~ rcircle(X3) ),
inference(split_conjunct,[status(thm)],[i_0_196]),
[final] ).
cnf(i_0_346,plain,
( rpoint(esk20_7(X1,X2,X3,X4,X5,X6,X7))
| ron(X7,X3)
| ~ ron(X6,X3)
| ~ ron(X5,X3)
| ~ rcenter(X6,X2)
| ~ rcenter(X5,X1)
| ~ rintersect(X1,X2)
| X3 != X4
| ~ rline(X4)
| X2 != X8
| ~ rcircle(X8)
| X1 != X9
| ~ rcircle(X9) ),
inference(split_conjunct,[status(thm)],[i_0_194]),
[final] ).
cnf(i_0_347,plain,
( rpoint(esk19_7(X1,X2,X3,X4,X5,X6,X7))
| ron(X7,X3)
| ~ ron(X6,X3)
| ~ ron(X5,X3)
| ~ rcenter(X6,X2)
| ~ rcenter(X5,X1)
| ~ rintersect(X1,X2)
| X3 != X4
| ~ rline(X4)
| X2 != X8
| ~ rcircle(X8)
| X1 != X9
| ~ rcircle(X9) ),
inference(split_conjunct,[status(thm)],[i_0_192]),
[final] ).
cnf(i_0_348,plain,
( ron(esk14_7(X1,X2,X3,X4,X5,X6,X7),X1)
| ron(X7,X1)
| rinside(X7,X1)
| ~ ron(X7,X3)
| X7 != X8
| ~ rpoint(X8)
| ~ ron(X5,X3)
| ~ rinside(X5,X1)
| X5 != X6
| ~ rpoint(X6)
| X3 != X4
| ~ rline(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_195]),
[final] ).
cnf(i_0_349,plain,
( ron(esk14_7(X1,X2,X3,X4,X5,X6,X7),X3)
| ron(X7,X1)
| rinside(X7,X1)
| ~ ron(X7,X3)
| X7 != X8
| ~ rpoint(X8)
| ~ ron(X5,X3)
| ~ rinside(X5,X1)
| X5 != X6
| ~ rpoint(X6)
| X3 != X4
| ~ rline(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_195]),
[final] ).
cnf(i_0_350,plain,
( rpoint(esk14_7(X1,X2,X3,X4,X5,X6,X7))
| ron(X7,X1)
| rinside(X7,X1)
| ~ ron(X7,X3)
| X7 != X8
| ~ rpoint(X8)
| ~ ron(X5,X3)
| ~ rinside(X5,X1)
| X5 != X6
| ~ rpoint(X6)
| X3 != X4
| ~ rline(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_195]),
[final] ).
cnf(i_0_351,plain,
( ron(esk22_7(X1,X2,X3,X4,X5,X6,X7),X1)
| X7 = X5
| ~ ron(X7,X3)
| X7 != X8
| ~ rpoint(X8)
| ~ ron(X5,X3)
| ~ rinside(X5,X1)
| X5 != X6
| ~ rpoint(X6)
| X3 != X4
| ~ rline(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_196]),
[final] ).
cnf(i_0_352,plain,
( ron(esk22_7(X1,X2,X3,X4,X5,X6,X7),X3)
| X7 = X5
| ~ ron(X7,X3)
| X7 != X8
| ~ rpoint(X8)
| ~ ron(X5,X3)
| ~ rinside(X5,X1)
| X5 != X6
| ~ rpoint(X6)
| X3 != X4
| ~ rline(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_196]),
[final] ).
cnf(i_0_353,plain,
( rpoint(esk22_7(X1,X2,X3,X4,X5,X6,X7))
| X7 = X5
| ~ ron(X7,X3)
| X7 != X8
| ~ rpoint(X8)
| ~ ron(X5,X3)
| ~ rinside(X5,X1)
| X5 != X6
| ~ rpoint(X6)
| X3 != X4
| ~ rline(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_196]),
[final] ).
cnf(i_0_354,plain,
( ron(X3,X1)
| esk33_7(X1,X2,X3,X4,X5,X6,X7) != X3
| X3 != X4
| X5 != X6
| X7 != X8
| ~ rS(X7,X3,X1)
| ~ rpoint(X8)
| ~ rS(X5,X3,X1)
| ~ rpoint(X6)
| ~ rpoint(X4)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_193]),
[final] ).
cnf(i_0_355,plain,
( ron(X3,X1)
| esk33_7(X1,X2,X3,X4,X5,X6,X7) != X5
| X3 != X4
| X5 != X6
| X7 != X8
| ~ rS(X7,X3,X1)
| ~ rpoint(X8)
| ~ rS(X5,X3,X1)
| ~ rpoint(X6)
| ~ rpoint(X4)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_193]),
[final] ).
cnf(i_0_356,plain,
( ron(X3,X1)
| esk33_7(X1,X2,X3,X4,X5,X6,X7) != X7
| X3 != X4
| X5 != X6
| X7 != X8
| ~ rS(X7,X3,X1)
| ~ rpoint(X8)
| ~ rS(X5,X3,X1)
| ~ rpoint(X6)
| ~ rpoint(X4)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_193]),
[final] ).
cnf(i_0_357,plain,
( rR(esk38_6(X1,X2,X3,X4,X5,X6),X3,X4)
| ~ rR(X6,X3,X4)
| ~ rR(X5,X3,X4)
| ~ ron(X5,X1)
| ~ ron(X4,X1)
| ~ ron(X3,X1)
| X6 != X7
| ~ rpoint(X7)
| X5 != X8
| ~ rpoint(X8)
| X4 != X9
| ~ rpoint(X9)
| X3 != X10
| ~ rpoint(X10)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_197]),
[final] ).
cnf(i_0_358,plain,
( rpoint(esk38_6(X1,X2,X3,X4,X5,X6))
| ~ rR(X6,X3,X4)
| ~ rR(X5,X3,X4)
| ~ ron(X5,X1)
| ~ ron(X4,X1)
| ~ ron(X3,X1)
| X6 != X7
| ~ rpoint(X7)
| X5 != X8
| ~ rpoint(X8)
| X4 != X9
| ~ rpoint(X9)
| X3 != X10
| ~ rpoint(X10)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_197]),
[final] ).
cnf(i_0_359,plain,
( esk38_6(X1,X2,X3,X4,X5,X6) != X5
| ~ rR(X6,X3,X4)
| ~ rR(X5,X3,X4)
| ~ ron(X5,X1)
| ~ ron(X4,X1)
| ~ ron(X3,X1)
| X6 != X7
| ~ rpoint(X7)
| X5 != X8
| ~ rpoint(X8)
| X4 != X9
| ~ rpoint(X9)
| X3 != X10
| ~ rpoint(X10)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_197]),
[final] ).
cnf(i_0_360,plain,
( esk38_6(X1,X2,X3,X4,X5,X6) != X6
| ~ rR(X6,X3,X4)
| ~ rR(X5,X3,X4)
| ~ ron(X5,X1)
| ~ ron(X4,X1)
| ~ ron(X3,X1)
| X6 != X7
| ~ rpoint(X7)
| X5 != X8
| ~ rpoint(X8)
| X4 != X9
| ~ rpoint(X9)
| X3 != X10
| ~ rpoint(X10)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_197]),
[final] ).
cnf(i_0_361,plain,
( rR(esk39_5(X1,X2,X3,X4,X5),X3,X4)
| ~ rR(X5,X3,X4)
| ~ ron(X4,X1)
| ~ ron(X3,X1)
| X5 != X6
| ~ rpoint(X6)
| X4 != X7
| ~ rpoint(X7)
| X3 != X8
| ~ rpoint(X8)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_198]),
[final] ).
cnf(i_0_362,plain,
( rR(X1,X2,esk36_5(X3,X4,X2,X1,X5))
| X5 != X6
| ~ rR(X1,X2,X5)
| ~ rpoint(X6)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| X1 != X7
| ~ rpoint(X7)
| X2 != X8
| ~ rpoint(X8)
| X3 != X4
| ~ rline(X4) ),
inference(split_conjunct,[status(thm)],[i_0_199]),
[final] ).
cnf(i_0_363,plain,
( rS(esk34_5(X1,X2,X3,X4,X5),X3,X1)
| ron(X3,X1)
| X3 != X4
| X5 != X6
| ~ rS(X5,X3,X1)
| ~ rpoint(X6)
| ~ rpoint(X4)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_200]),
[final] ).
cnf(i_0_364,plain,
( rpoint(esk39_5(X1,X2,X3,X4,X5))
| ~ rR(X5,X3,X4)
| ~ ron(X4,X1)
| ~ ron(X3,X1)
| X5 != X6
| ~ rpoint(X6)
| X4 != X7
| ~ rpoint(X7)
| X3 != X8
| ~ rpoint(X8)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_198]),
[final] ).
cnf(i_0_365,plain,
( rpoint(esk36_5(X1,X2,X3,X4,X5))
| X5 != X6
| ~ rR(X4,X3,X5)
| ~ rpoint(X6)
| ~ ron(X4,X1)
| ~ ron(X3,X1)
| X4 != X7
| ~ rpoint(X7)
| X3 != X8
| ~ rpoint(X8)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_199]),
[final] ).
cnf(i_0_366,plain,
( rpoint(esk34_5(X1,X2,X3,X4,X5))
| ron(X3,X1)
| X3 != X4
| X5 != X6
| ~ rS(X5,X3,X1)
| ~ rpoint(X6)
| ~ rpoint(X4)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_200]),
[final] ).
cnf(i_0_367,plain,
( ron(esk42_5(X1,X2,X3,X4,X5),X1)
| ~ ron(X5,X1)
| ~ ron(X3,X1)
| X5 != X6
| ~ rpoint(X6)
| X3 != X4
| ~ rpoint(X4)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_201]),
[final] ).
cnf(i_0_368,plain,
( rpoint(esk42_5(X1,X2,X3,X4,X5))
| ~ ron(X5,X1)
| ~ ron(X3,X1)
| X5 != X6
| ~ rpoint(X6)
| X3 != X4
| ~ rpoint(X4)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_201]),
[final] ).
cnf(i_0_369,plain,
( esk39_5(X1,X2,X3,X4,X5) != X5
| ~ rR(X5,X3,X4)
| ~ ron(X4,X1)
| ~ ron(X3,X1)
| X5 != X6
| ~ rpoint(X6)
| X4 != X7
| ~ rpoint(X7)
| X3 != X8
| ~ rpoint(X8)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_198]),
[final] ).
cnf(i_0_370,plain,
( esk36_5(X1,X2,X3,X4,X5) != X5
| X5 != X6
| ~ rR(X4,X3,X5)
| ~ rpoint(X6)
| ~ ron(X4,X1)
| ~ ron(X3,X1)
| X4 != X7
| ~ rpoint(X7)
| X3 != X8
| ~ rpoint(X8)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_199]),
[final] ).
cnf(i_0_371,plain,
( ron(X3,X1)
| esk34_5(X1,X2,X3,X4,X5) != X3
| X3 != X4
| X5 != X6
| ~ rS(X5,X3,X1)
| ~ rpoint(X6)
| ~ rpoint(X4)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_200]),
[final] ).
cnf(i_0_372,plain,
( ron(X3,X1)
| esk34_5(X1,X2,X3,X4,X5) != X5
| X3 != X4
| X5 != X6
| ~ rS(X5,X3,X1)
| ~ rpoint(X6)
| ~ rpoint(X4)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_200]),
[final] ).
cnf(i_0_373,plain,
( esk42_5(X1,X2,X3,X4,X5) != X3
| ~ ron(X5,X1)
| ~ ron(X3,X1)
| X5 != X6
| ~ rpoint(X6)
| X3 != X4
| ~ rpoint(X4)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_201]),
[final] ).
cnf(i_0_374,plain,
( esk42_5(X1,X2,X3,X4,X5) != X5
| ~ ron(X5,X1)
| ~ ron(X3,X1)
| X5 != X6
| ~ rpoint(X6)
| X3 != X4
| ~ rpoint(X4)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_201]),
[final] ).
cnf(i_0_375,plain,
( rS(X1,X4,X2)
| X5 = X6
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ rless(vplus(vangle(X4,X5,X6),vangle(X5,X6,X7)),vplus(vperp,vperp))
| ~ rS(X4,X7,X2)
| ~ ron(X7,X8)
| ~ ron(X6,X8)
| ~ ron(X6,X2)
| ~ ron(X5,X2)
| ~ ron(X5,X3)
| ~ ron(X4,X3)
| X8 != X9
| ~ rline(X9)
| X2 != X10
| ~ rline(X10)
| X3 != X11
| ~ rline(X11)
| X1 != X12
| ~ rpoint(X12)
| X7 != X13
| ~ rpoint(X13)
| X6 != X14
| ~ rpoint(X14)
| X5 != X15
| ~ rpoint(X15)
| X4 != X16
| ~ rpoint(X16) ),
inference(split_conjunct,[status(thm)],[i_0_202]),
[final] ).
cnf(i_0_376,plain,
( rintersect(X1,X2)
| X4 = X5
| ~ rless(vplus(vangle(X3,X4,X5),vangle(X4,X5,X6)),vplus(vperp,vperp))
| ~ rS(X3,X6,X2)
| ~ ron(X6,X7)
| ~ ron(X5,X7)
| ~ ron(X5,X2)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,X1)
| X7 != X8
| ~ rline(X8)
| X2 != X9
| ~ rline(X9)
| X1 != X10
| ~ rline(X10)
| X11 != X12
| ~ rpoint(X12)
| X6 != X13
| ~ rpoint(X13)
| X5 != X14
| ~ rpoint(X14)
| X4 != X15
| ~ rpoint(X15)
| X3 != X16
| ~ rpoint(X16) ),
inference(split_conjunct,[status(thm)],[i_0_202]),
[final] ).
cnf(i_0_377,plain,
( X3 = X1
| vf(X1,vskolem1052(X3,X4,X1,X2)) = vf(vskolem1052(X3,X4,X1,X2),X3)
| X1 != X2
| ~ rpoint(X2)
| X3 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[i_0_203]),
[final] ).
cnf(i_0_378,plain,
( vg(X2,X3,X1) = vg(X5,X6,X4)
| vangle(X1,X2,X3) != vangle(X4,X5,X6)
| vangle(X3,X1,X2) != vangle(X6,X4,X5)
| vangle(X2,X3,X1) != vangle(X5,X6,X4)
| vf(X1,X2) != vf(X4,X5)
| vf(X3,X1) != vf(X6,X4)
| vf(X2,X3) != vf(X5,X6)
| X4 != X7
| ~ rpoint(X7)
| X6 != X8
| ~ rpoint(X8)
| X5 != X9
| ~ rpoint(X9)
| X1 != X10
| ~ rpoint(X10)
| X3 != X11
| ~ rpoint(X11)
| X2 != X12
| ~ rpoint(X12) ),
inference(split_conjunct,[status(thm)],[i_0_204]),
[final] ).
cnf(i_0_379,plain,
( rS(X1,X2,X3)
| X6 = X3
| ron(X2,X3)
| ron(X2,X6)
| X4 = X5
| X4 = X1
| vangle(X1,X4,X5) != vplus(vangle(X1,X4,X2),vangle(X2,X4,X5))
| ~ ron(X5,X3)
| ~ ron(X1,X6)
| ~ ron(X4,X3)
| ~ ron(X4,X6)
| X3 != X7
| ~ rline(X7)
| X6 != X8
| ~ rline(X8)
| X2 != X9
| ~ rpoint(X9)
| X5 != X10
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X4 != X12
| ~ rpoint(X12) ),
inference(split_conjunct,[status(thm)],[i_0_205]),
[final] ).
cnf(i_0_380,plain,
( rS(X1,X2,X3)
| X3 = X6
| ron(X2,X6)
| ron(X2,X3)
| X5 = X1
| X5 = X4
| vangle(X4,X5,X1) != vplus(vangle(X4,X5,X2),vangle(X2,X5,X1))
| ~ ron(X1,X6)
| ~ ron(X4,X3)
| ~ ron(X5,X6)
| ~ ron(X5,X3)
| X6 != X7
| ~ rline(X7)
| X3 != X8
| ~ rline(X8)
| X2 != X9
| ~ rpoint(X9)
| X1 != X10
| ~ rpoint(X10)
| X4 != X11
| ~ rpoint(X11)
| X5 != X12
| ~ rpoint(X12) ),
inference(split_conjunct,[status(thm)],[i_0_205]),
[final] ).
cnf(i_0_381,plain,
( vangle(X4,X6,X1) = vplus(vangle(X4,X6,X2),vangle(X2,X6,X1))
| X3 = X5
| ron(X2,X5)
| ron(X2,X3)
| X6 = X1
| X6 = X4
| ~ rS(X1,X2,X3)
| ~ rS(X4,X2,X5)
| ~ ron(X1,X5)
| ~ ron(X4,X3)
| ~ ron(X6,X5)
| ~ ron(X6,X3)
| X5 != X7
| ~ rline(X7)
| X3 != X8
| ~ rline(X8)
| X2 != X9
| ~ rpoint(X9)
| X1 != X10
| ~ rpoint(X10)
| X4 != X11
| ~ rpoint(X11)
| X6 != X12
| ~ rpoint(X12) ),
inference(split_conjunct,[status(thm)],[i_0_205]),
[final] ).
cnf(i_0_382,plain,
( rR(esk40_4(X1,X2,X3,X4),X3,X4)
| X3 = X4
| ~ ron(X4,X1)
| ~ ron(X3,X1)
| X4 != X5
| ~ rpoint(X5)
| X3 != X6
| ~ rpoint(X6)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_206]),
[final] ).
cnf(i_0_383,plain,
( rR(X1,X2,esk37_4(X3,X4,X2,X1))
| X2 = X1
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| X1 != X5
| ~ rpoint(X5)
| X2 != X6
| ~ rpoint(X6)
| X3 != X4
| ~ rline(X4) ),
inference(split_conjunct,[status(thm)],[i_0_207]),
[final] ).
cnf(i_0_384,plain,
( ron(esk41_4(X1,X2,X3,X4),X1)
| ~ ron(X5,X1)
| ~ ron(X4,X1)
| ~ ron(X3,X1)
| X5 != X6
| ~ rpoint(X6)
| X4 != X7
| ~ rpoint(X7)
| X3 != X8
| ~ rpoint(X8)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_208]),
[final] ).
cnf(i_0_385,plain,
( rS(X1,X2,X7)
| ~ rS(X1,X2,X3)
| ~ rS(X4,X2,X5)
| ~ rS(X6,X1,X3)
| ~ rS(X1,X4,X7)
| ~ ron(X4,X3)
| ~ ron(X1,X5)
| ~ ron(X6,X7)
| ~ ron(X8,X3)
| ~ ron(X8,X5)
| ~ ron(X8,X7)
| X4 != X9
| ~ rpoint(X9)
| X1 != X10
| ~ rpoint(X10)
| X6 != X11
| ~ rpoint(X11)
| X8 != X12
| ~ rpoint(X12)
| X3 != X13
| ~ rline(X13)
| X5 != X14
| ~ rline(X14)
| X7 != X15
| ~ rline(X15) ),
inference(split_conjunct,[status(thm)],[i_0_209]),
[final] ).
cnf(i_0_386,plain,
( rpoint(esk41_4(X1,X2,X3,X4))
| ~ ron(X5,X1)
| ~ ron(X4,X1)
| ~ ron(X3,X1)
| X5 != X6
| ~ rpoint(X6)
| X4 != X7
| ~ rpoint(X7)
| X3 != X8
| ~ rpoint(X8)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_208]),
[final] ).
cnf(i_0_387,plain,
( ron(esk29_4(X1,X2,X3,X4),X1)
| ~ ron(X4,X1)
| ~ ron(X3,X1)
| X4 != X5
| ~ rpoint(X5)
| X3 != X6
| ~ rpoint(X6)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_210]),
[final] ).
cnf(i_0_388,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)],[i_0_211]),
[final] ).
cnf(i_0_389,plain,
( rpoint(esk40_4(X1,X2,X3,X4))
| X3 = X4
| ~ ron(X4,X1)
| ~ ron(X3,X1)
| X4 != X5
| ~ rpoint(X5)
| X3 != X6
| ~ rpoint(X6)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_206]),
[final] ).
cnf(i_0_390,plain,
( rpoint(esk37_4(X1,X2,X3,X4))
| X3 = X4
| ~ ron(X4,X1)
| ~ ron(X3,X1)
| X4 != X5
| ~ rpoint(X5)
| X3 != X6
| ~ rpoint(X6)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_207]),
[final] ).
cnf(i_0_391,plain,
( rpoint(esk29_4(X1,X2,X3,X4))
| ~ ron(X4,X1)
| ~ ron(X3,X1)
| X4 != X5
| ~ rpoint(X5)
| X3 != X6
| ~ rpoint(X6)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_210]),
[final] ).
cnf(i_0_392,plain,
( X1 = X2
| X5 = X2
| X5 = X1
| vf(X1,X2) = vf(X5,vskolem1078(X5,X6,X1,X2))
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X5 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[i_0_212]),
[final] ).
cnf(i_0_393,plain,
( X3 = X1
| vf(X3,X1) = vf(X1,vskolem1052(X3,X4,X1,X2))
| X1 != X2
| ~ rpoint(X2)
| X3 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[i_0_213]),
[final] ).
cnf(i_0_394,plain,
( rpoint(esk45_4(X1,X2,X3,X4))
| X4 != X5
| ~ rpoint(X5)
| X3 != X6
| ~ rpoint(X6)
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[i_0_214]),
[final] ).
cnf(i_0_395,plain,
( X1 = X2
| X5 = X2
| X5 = X1
| rpoint(vskolem1078(X5,X6,X1,X2))
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X5 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[i_0_215]),
[final] ).
cnf(i_0_396,plain,
( X3 = X1
| rpoint(vskolem1052(X3,X4,X1,X2))
| X1 != X2
| ~ rpoint(X2)
| X3 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[i_0_216]),
[final] ).
cnf(i_0_397,plain,
( esk41_4(X1,X2,X3,X4) != X3
| ~ ron(X5,X1)
| ~ ron(X4,X1)
| ~ ron(X3,X1)
| X5 != X6
| ~ rpoint(X6)
| X4 != X7
| ~ rpoint(X7)
| X3 != X8
| ~ rpoint(X8)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_208]),
[final] ).
cnf(i_0_398,plain,
( esk41_4(X1,X2,X3,X4) != X4
| ~ ron(X5,X1)
| ~ ron(X4,X1)
| ~ ron(X3,X1)
| X5 != X6
| ~ rpoint(X6)
| X4 != X7
| ~ rpoint(X7)
| X3 != X8
| ~ rpoint(X8)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_208]),
[final] ).
cnf(i_0_399,plain,
( ~ rS(X1,X2,X3)
| ~ rS(X2,X4,X5)
| ~ ron(X4,X3)
| ~ ron(X2,X3)
| ~ ron(X1,X5)
| ~ ron(X6,X3)
| ~ ron(X6,X7)
| ~ ron(X6,X5)
| X4 != X8
| ~ rpoint(X8)
| X2 != X9
| ~ rpoint(X9)
| X1 != X10
| ~ rpoint(X10)
| X6 != X11
| ~ rpoint(X11)
| X3 != X12
| ~ rline(X12)
| X7 != X13
| ~ rline(X13)
| X5 != X14
| ~ rline(X14)
| ~ rS(X1,X4,X7) ),
inference(split_conjunct,[status(thm)],[i_0_217]),
[final] ).
cnf(i_0_400,plain,
( esk29_4(X1,X2,X3,X4) != X3
| ~ ron(X4,X1)
| ~ ron(X3,X1)
| X4 != X5
| ~ rpoint(X5)
| X3 != X6
| ~ rpoint(X6)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_210]),
[final] ).
cnf(i_0_401,plain,
( esk29_4(X1,X2,X3,X4) != X4
| ~ ron(X4,X1)
| ~ ron(X3,X1)
| X4 != X5
| ~ rpoint(X5)
| X3 != X6
| ~ rpoint(X6)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_210]),
[final] ).
cnf(i_0_402,plain,
( vplus(vg(X2,X1,X4),vg(X4,X1,X3)) = vg(X2,X4,X3)
| ron(X4,X5)
| X1 = X4
| X3 = X4
| X3 = X1
| X2 = X4
| X2 = X1
| X2 = X3
| ~ rR(X1,X2,X3)
| X5 != X6
| ~ rline(X6)
| X4 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X3 != X9
| ~ rpoint(X9)
| X2 != X10
| ~ rpoint(X10) ),
inference(split_conjunct,[status(thm)],[i_0_211]),
[final] ).
cnf(i_0_403,plain,
( esk45_4(X1,X2,X3,X4) != X1
| X4 != X5
| ~ rpoint(X5)
| X3 != X6
| ~ rpoint(X6)
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[i_0_214]),
[final] ).
cnf(i_0_404,plain,
( esk45_4(X1,X2,X3,X4) != X2
| X4 != X5
| ~ rpoint(X5)
| X3 != X6
| ~ rpoint(X6)
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[i_0_214]),
[final] ).
cnf(i_0_405,plain,
( esk45_4(X1,X2,X3,X4) != X3
| X4 != X5
| ~ rpoint(X5)
| X3 != X6
| ~ rpoint(X6)
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[i_0_214]),
[final] ).
cnf(i_0_406,plain,
( esk45_4(X1,X2,X3,X4) != X4
| X4 != X5
| ~ rpoint(X5)
| X3 != X6
| ~ rpoint(X6)
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[i_0_214]),
[final] ).
cnf(i_0_407,plain,
( X1 = X2
| ron(X3,X4)
| rS(X1,X3,X4)
| rS(X1,X5,X7)
| ~ rS(X5,X3,X6)
| ~ ron(X3,X7)
| ~ ron(X5,X4)
| ~ ron(X1,X6)
| ~ ron(X2,X7)
| ~ ron(X2,X4)
| ~ ron(X2,X6)
| X3 != X8
| ~ rpoint(X8)
| X5 != X9
| ~ rpoint(X9)
| X1 != X10
| ~ rpoint(X10)
| X2 != X11
| ~ rpoint(X11)
| X7 != X12
| ~ rline(X12)
| X4 != X13
| ~ rline(X13)
| X6 != X14
| ~ rline(X14) ),
inference(split_conjunct,[status(thm)],[i_0_218]),
[final] ).
cnf(i_0_408,plain,
( rR(X1,X2,X3)
| rR(X1,X4,X5)
| X3 = X1
| X5 = X1
| X2 = X1
| X4 = X1
| vangle(X4,X1,X2) = vangle(X5,X1,X3)
| ~ ron(X3,X6)
| ~ ron(X2,X6)
| ~ ron(X5,X7)
| ~ ron(X4,X7)
| ~ ron(X1,X7)
| X6 != X8
| ~ rline(X8)
| X7 != X9
| ~ rline(X9)
| X3 != X10
| ~ rpoint(X10)
| X5 != X11
| ~ rpoint(X11)
| X2 != X12
| ~ rpoint(X12)
| X4 != X13
| ~ rpoint(X13)
| X1 != X14
| ~ rpoint(X14) ),
inference(split_conjunct,[status(thm)],[i_0_219]),
[final] ).
cnf(i_0_409,plain,
( vangle(X1,X2,X3) = vperp
| ron(X3,X5)
| vangle(X1,X2,X3) != vangle(X3,X2,X4)
| ~ rR(X2,X1,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)],[i_0_220]),
[final] ).
cnf(i_0_410,plain,
( rS(X1,X3,esk17_3(X1,X3,X2))
| rintersect(esk18_3(X1,X3,X2),X2)
| ~ rinside(X1,X2)
| ~ rinside(X3,X2)
| X4 != X5
| ~ rcircle(X5)
| X2 != X6
| ~ rcircle(X6)
| X3 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[i_0_221]),
[final] ).
cnf(i_0_411,plain,
( rS(X1,X3,esk17_3(X1,X3,X2))
| rintersect(esk18_3(X1,X3,X2),X2)
| ~ ron(X1,X2)
| ~ rinside(X3,X2)
| X4 != X5
| ~ rcircle(X5)
| X2 != X6
| ~ rcircle(X6)
| X3 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[i_0_221]),
[final] ).
cnf(i_0_412,plain,
( rS(X1,X3,esk17_3(X1,X3,X2))
| rintersect(esk18_3(X1,X3,X2),X2)
| ~ rinside(X1,X2)
| ~ ron(X3,X2)
| X4 != X5
| ~ rcircle(X5)
| X2 != X6
| ~ rcircle(X6)
| X3 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[i_0_221]),
[final] ).
cnf(i_0_413,plain,
( rS(X1,X3,esk17_3(X1,X3,X2))
| rintersect(esk18_3(X1,X3,X2),X2)
| ~ ron(X1,X2)
| ~ ron(X3,X2)
| X4 != X5
| ~ rcircle(X5)
| X2 != X6
| ~ rcircle(X6)
| X3 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[i_0_221]),
[final] ).
cnf(i_0_414,plain,
( vangle(X1,X2,X3) = vangle(X3,X2,X4)
| ron(X3,X5)
| vangle(X1,X2,X3) != vperp
| ~ rR(X2,X1,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)],[i_0_220]),
[final] ).
cnf(i_0_415,plain,
( X7 = X8
| X6 = X5
| ~ ron(X1,X2)
| ~ ron(X3,X2)
| X2 != X4
| ~ rline(X4)
| ~ rcenter(X1,X5)
| ~ rcenter(X3,X6)
| ~ ron(X8,X5)
| ~ ron(X8,X6)
| ~ ron(X7,X5)
| ~ ron(X7,X6)
| X8 != X9
| ~ rpoint(X9)
| X7 != X10
| ~ rpoint(X10)
| ~ rintersect(X6,X5)
| X5 != X11
| ~ rcircle(X11)
| X6 != X12
| ~ rcircle(X12)
| ~ rS(X7,X8,X2) ),
inference(split_conjunct,[status(thm)],[i_0_222]),
[final] ).
cnf(i_0_416,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)],[i_0_223]),
[final] ).
cnf(i_0_417,plain,
( ron(X3,X1)
| ~ rS(esk32_3(X1,X2,X3),X3,X1)
| X3 != X4
| ~ rpoint(X4)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_224]),
[final] ).
cnf(i_0_418,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)],[i_0_225]),
[final] ).
cnf(i_0_419,plain,
( rS(X1,X4,X3)
| ~ rS(X1,X2,X3)
| ~ rR(X4,X1,X2)
| X3 != X5
| ~ rline(X5)
| X2 != X6
| ~ rpoint(X6)
| X4 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[i_0_226]),
[final] ).
cnf(i_0_420,plain,
( rS(X4,X2,X3)
| ~ rS(X1,X2,X3)
| ~ rS(X1,X4,X3)
| X3 != X5
| ~ rline(X5)
| X2 != X6
| ~ rpoint(X6)
| X4 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[i_0_227]),
[final] ).
cnf(i_0_421,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)],[i_0_228]),
[final] ).
cnf(i_0_422,plain,
( rR(X2,X4,X3)
| ~ rR(X1,X2,X3)
| ~ rR(X2,X4,X1)
| X3 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X2 != X7
| ~ rpoint(X7)
| X4 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[i_0_229]),
[final] ).
cnf(i_0_423,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)],[i_0_230]),
[final] ).
cnf(i_0_424,plain,
( rS(X4,X5,X2)
| X2 = X3
| X1 = X5
| X4 = X5
| X4 = X1
| rR(X1,X4,X5)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X5,X3)
| ~ ron(X4,X3)
| X3 != X6
| ~ rline(X6)
| X2 != X7
| ~ rline(X7)
| X5 != X8
| ~ rpoint(X8)
| X1 != X9
| ~ rpoint(X9)
| X4 != X10
| ~ rpoint(X10) ),
inference(split_conjunct,[status(thm)],[i_0_231]),
[final] ).
cnf(i_0_425,plain,
vangle(vd1186,vd1185,vd1201) = vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)),
inference(split_conjunct,[status(thm)],['holds(307, 1243, 0)']),
[final] ).
cnf(i_0_426,plain,
( rS(X1,X2,X3)
| ron(X4,X3)
| ron(X2,X3)
| ron(X1,X3)
| rS(X1,X4,X3)
| rS(X2,X4,X3)
| X3 != X5
| ~ rline(X5)
| X4 != X6
| ~ rpoint(X6)
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[i_0_232]),
[final] ).
cnf(i_0_427,plain,
( X1 = X2
| rR(X4,X1,X2)
| ~ ron(X2,X3)
| ~ ron(X1,X3)
| ~ rinside(X4,X3)
| ~ ron(X2,X5)
| ~ ron(X1,X5)
| ~ ron(X4,X5)
| X3 != X6
| ~ rcircle(X6)
| X5 != X7
| ~ rline(X7)
| X2 != X8
| ~ rpoint(X8)
| X1 != X9
| ~ rpoint(X9)
| X4 != X10
| ~ rpoint(X10) ),
inference(split_conjunct,[status(thm)],[i_0_233]),
[final] ).
cnf(i_0_428,plain,
( ~ ron(X1,X2)
| ~ rR(X1,X3,X4)
| X2 != X5
| ~ rline(X5)
| X4 != X6
| ~ rpoint(X6)
| X1 != X7
| ~ rpoint(X7)
| X3 != X8
| ~ rpoint(X8)
| ~ rS(X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_234]),
[final] ).
cnf(i_0_429,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)],[i_0_230]),
[final] ).
cnf(i_0_430,plain,
( ron(X1,X2)
| rS(X1,X4,X2)
| ~ ron(X3,X2)
| ~ rR(X1,X3,X4)
| X2 != X5
| ~ rline(X5)
| X4 != X6
| ~ rpoint(X6)
| X1 != X7
| ~ rpoint(X7)
| X3 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[i_0_235]),
[final] ).
cnf(i_0_431,plain,
( esk23_3(X1,X2,X3) != esk24_3(X1,X2,X3)
| ~ rintersect(X3,X1)
| X3 != X4
| ~ rline(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_236]),
[final] ).
cnf(i_0_432,plain,
( rpoint(esk51_3(X1,X2,X3))
| vtriangle(X1,X2,X3) != X4
| ~ rtriangle(X4) ),
inference(split_conjunct,[status(thm)],[i_0_237]),
[final] ).
cnf(i_0_433,plain,
( rpoint(esk50_3(X1,X2,X3))
| vtriangle(X1,X2,X3) != X4
| ~ rtriangle(X4) ),
inference(split_conjunct,[status(thm)],[i_0_237]),
[final] ).
cnf(i_0_434,plain,
( rpoint(esk49_3(X1,X2,X3))
| vtriangle(X1,X2,X3) != X4
| ~ rtriangle(X4) ),
inference(split_conjunct,[status(thm)],[i_0_237]),
[final] ).
cnf(i_0_435,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)],[i_0_238]),
[final] ).
cnf(i_0_436,plain,
( rinside(X4,X2)
| ~ rinside(X1,X2)
| ~ rinside(X3,X2)
| ~ rR(X4,X1,X3)
| X2 != X5
| ~ rcircle(X5)
| X6 != X7
| ~ rline(X7)
| X4 != X8
| ~ rpoint(X8)
| X3 != X9
| ~ rpoint(X9)
| X1 != X10
| ~ rpoint(X10) ),
inference(split_conjunct,[status(thm)],[i_0_239]),
[final] ).
cnf(i_0_437,plain,
( rinside(X4,X2)
| ~ ron(X1,X2)
| ~ rinside(X3,X2)
| ~ rR(X4,X1,X3)
| X2 != X5
| ~ rcircle(X5)
| X6 != X7
| ~ rline(X7)
| X4 != X8
| ~ rpoint(X8)
| X3 != X9
| ~ rpoint(X9)
| X1 != X10
| ~ rpoint(X10) ),
inference(split_conjunct,[status(thm)],[i_0_239]),
[final] ).
cnf(i_0_438,plain,
( rinside(X4,X2)
| ~ rinside(X1,X2)
| ~ ron(X3,X2)
| ~ rR(X4,X1,X3)
| X2 != X5
| ~ rcircle(X5)
| X6 != X7
| ~ rline(X7)
| X4 != X8
| ~ rpoint(X8)
| X3 != X9
| ~ rpoint(X9)
| X1 != X10
| ~ rpoint(X10) ),
inference(split_conjunct,[status(thm)],[i_0_239]),
[final] ).
cnf(i_0_439,plain,
( rinside(X4,X2)
| ~ ron(X1,X2)
| ~ ron(X3,X2)
| ~ rR(X4,X1,X3)
| X2 != X5
| ~ rcircle(X5)
| X6 != X7
| ~ rline(X7)
| X4 != X8
| ~ rpoint(X8)
| X3 != X9
| ~ rpoint(X9)
| X1 != X10
| ~ rpoint(X10) ),
inference(split_conjunct,[status(thm)],[i_0_239]),
[final] ).
cnf(i_0_440,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)],[i_0_240]),
[final] ).
cnf(i_0_441,plain,
( rS(esk35_3(X1,X2,X3),X3,X1)
| ron(X3,X1)
| X3 != X4
| ~ rpoint(X4)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_241]),
[final] ).
cnf(i_0_442,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)],[i_0_230]),
[final] ).
cnf(i_0_443,plain,
( ron(X3,X4)
| X1 = X2
| vg(X1,X2,X3) != v0
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| X4 != X5
| ~ rline(X5)
| X3 != X6
| ~ rpoint(X6)
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[i_0_242]),
[final] ).
cnf(i_0_444,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)],[i_0_243]),
[final] ).
cnf(i_0_445,plain,
( rinside(X3,X2)
| ~ ron(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)],[i_0_243]),
[final] ).
cnf(i_0_446,plain,
( ron(X5,X1)
| X1 != X2
| ~ ron(X3,X1)
| ~ ron(X4,X1)
| ~ rR(X3,X4,X5)
| ~ rline(X2)
| X5 != X6
| ~ rpoint(X6)
| X3 != X7
| ~ rpoint(X7)
| X4 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[i_0_244]),
[final] ).
cnf(i_0_447,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)],[i_0_245]),
[final] ).
cnf(i_0_448,plain,
( rinside(X2,X4)
| ~ rless(vf(X1,X2),vf(X1,X3))
| ~ ron(X3,X4)
| ~ rcenter(X1,X4)
| X3 != X5
| ~ rpoint(X5)
| X2 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[i_0_246]),
[final] ).
cnf(i_0_449,plain,
( rS(X2,X1,X3)
| ~ rS(X1,X2,X3)
| X3 != X4
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[i_0_247]),
[final] ).
cnf(i_0_450,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)],[i_0_238]),
[final] ).
cnf(i_0_451,plain,
( rleq(vangle(X1,X2,X3),vplus(vperp,vperp))
| X3 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[i_0_248]),
[final] ).
cnf(i_0_452,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)],[i_0_242]),
[final] ).
cnf(i_0_453,plain,
( ron(esk43_3(X1,X2,X3),X1)
| ~ ron(X3,X1)
| X3 != X4
| ~ rpoint(X4)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_249]),
[final] ).
cnf(i_0_454,plain,
( ron(esk30_3(X1,X2,X3),X1)
| ~ ron(X3,X1)
| X3 != X4
| ~ rpoint(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_250]),
[final] ).
cnf(i_0_455,plain,
( ron(esk26_3(X1,X2,X3),X1)
| ~ rintersect(X1,X3)
| X3 != X4
| ~ rline(X4)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_251]),
[final] ).
cnf(i_0_456,plain,
( ron(esk26_3(X1,X2,X3),X3)
| ~ rintersect(X1,X3)
| X3 != X4
| ~ rline(X4)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_251]),
[final] ).
cnf(i_0_457,plain,
( ron(esk25_3(X1,X2,X3),X1)
| ~ rintersect(X3,X1)
| X3 != X4
| ~ rline(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_252]),
[final] ).
cnf(i_0_458,plain,
( ron(esk25_3(X1,X2,X3),X3)
| ~ rintersect(X3,X1)
| X3 != X4
| ~ rline(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_252]),
[final] ).
cnf(i_0_459,plain,
( ron(esk24_3(X1,X2,X3),X1)
| ~ rintersect(X3,X1)
| X3 != X4
| ~ rline(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_236]),
[final] ).
cnf(i_0_460,plain,
( ron(esk24_3(X1,X2,X3),X3)
| ~ rintersect(X3,X1)
| X3 != X4
| ~ rline(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_236]),
[final] ).
cnf(i_0_461,plain,
( ron(esk23_3(X1,X2,X3),X1)
| ~ rintersect(X3,X1)
| X3 != X4
| ~ rline(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_236]),
[final] ).
cnf(i_0_462,plain,
( ron(esk23_3(X1,X2,X3),X3)
| ~ rintersect(X3,X1)
| X3 != X4
| ~ rline(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_236]),
[final] ).
cnf(i_0_463,plain,
( ron(esk21_3(X1,X2,X3),X1)
| ~ rintersect(X1,X3)
| X3 != X4
| ~ rcircle(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_253]),
[final] ).
cnf(i_0_464,plain,
( ron(esk21_3(X1,X2,X3),X3)
| ~ rintersect(X1,X3)
| X3 != X4
| ~ rcircle(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_253]),
[final] ).
cnf(i_0_465,plain,
( X5 = X4
| vf(X1,X2) != vf(X1,X3)
| ~ ron(X3,X4)
| ~ ron(X2,X5)
| ~ rcenter(X1,X4)
| ~ rcenter(X1,X5)
| X3 != X6
| ~ rpoint(X6)
| X2 != X7
| ~ rpoint(X7) ),
inference(split_conjunct,[status(thm)],[i_0_254]),
[final] ).
cnf(i_0_466,plain,
( rS(X6,X5,X1)
| rintersect(X1,X3)
| X1 != X2
| X3 != X4
| ~ ron(X5,X3)
| ~ ron(X6,X3)
| ~ rline(X4)
| ~ rline(X2)
| X5 != X7
| ~ rpoint(X7)
| X6 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[i_0_255]),
[final] ).
cnf(i_0_467,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)],[i_0_246]),
[final] ).
cnf(i_0_468,plain,
( rpoint(esk43_3(X1,X2,X3))
| ~ ron(X3,X1)
| X3 != X4
| ~ rpoint(X4)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_249]),
[final] ).
cnf(i_0_469,plain,
( rpoint(esk30_3(X1,X2,X3))
| ~ ron(X3,X1)
| X3 != X4
| ~ rpoint(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_250]),
[final] ).
cnf(i_0_470,plain,
( rpoint(esk26_3(X1,X2,X3))
| ~ rintersect(X1,X3)
| X3 != X4
| ~ rline(X4)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_251]),
[final] ).
cnf(i_0_471,plain,
( rpoint(esk25_3(X1,X2,X3))
| ~ rintersect(X3,X1)
| X3 != X4
| ~ rline(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_252]),
[final] ).
cnf(i_0_472,plain,
( rpoint(esk24_3(X1,X2,X3))
| ~ rintersect(X3,X1)
| X3 != X4
| ~ rline(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_236]),
[final] ).
cnf(i_0_473,plain,
( rpoint(esk23_3(X1,X2,X3))
| ~ rintersect(X3,X1)
| X3 != X4
| ~ rline(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_236]),
[final] ).
cnf(i_0_474,plain,
( rpoint(esk21_3(X1,X2,X3))
| ~ rintersect(X1,X3)
| X3 != X4
| ~ rcircle(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_253]),
[final] ).
cnf(i_0_475,plain,
( rinside(X1,X3)
| ron(X1,X3)
| rintersect(X2,X3)
| ~ rinside(X1,X2)
| ~ rinside(X4,X3)
| ~ ron(X4,X2)
| X3 != X5
| ~ rcircle(X5)
| X2 != X6
| ~ rcircle(X6)
| X1 != X7
| ~ rpoint(X7)
| X4 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[i_0_256]),
[final] ).
cnf(i_0_476,plain,
( rinside(X1,X3)
| ron(X1,X3)
| rintersect(X2,X3)
| ~ ron(X1,X2)
| ~ rinside(X4,X3)
| ~ ron(X4,X2)
| X3 != X5
| ~ rcircle(X5)
| X2 != X6
| ~ rcircle(X6)
| X1 != X7
| ~ rpoint(X7)
| X4 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[i_0_256]),
[final] ).
cnf(i_0_477,plain,
( rgeq(vg(X5,X3,X1),v0)
| X1 != X2
| ~ rpoint(X2)
| X3 != X4
| ~ rpoint(X4)
| X5 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[i_0_257]),
[final] ).
cnf(i_0_478,plain,
( rleq(v0,vangle(X1,X2,X3))
| X3 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[i_0_248]),
[final] ).
cnf(i_0_479,plain,
( X1 = esk51_3(X1,X2,X3)
| vtriangle(X1,X2,X3) != X4
| ~ rtriangle(X4) ),
inference(split_conjunct,[status(thm)],[i_0_237]),
[final] ).
cnf(i_0_480,plain,
( X1 = esk50_3(X2,X1,X3)
| vtriangle(X2,X1,X3) != X4
| ~ rtriangle(X4) ),
inference(split_conjunct,[status(thm)],[i_0_237]),
[final] ).
cnf(i_0_481,plain,
( X1 = esk49_3(X2,X3,X1)
| vtriangle(X2,X3,X1) != X4
| ~ rtriangle(X4) ),
inference(split_conjunct,[status(thm)],[i_0_237]),
[final] ).
cnf(i_0_482,plain,
( rpoint(esk35_3(X1,X2,X3))
| ron(X3,X1)
| X3 != X4
| ~ rpoint(X4)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_241]),
[final] ).
cnf(i_0_483,plain,
( rpoint(esk32_3(X1,X2,X3))
| ron(X3,X1)
| X3 != X4
| ~ rpoint(X4)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_224]),
[final] ).
cnf(i_0_484,plain,
( X1 = X2
| X1 = X3
| vangle(X1,X3,X2) = vangle(X2,X3,X1)
| X2 != X4
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[i_0_258]),
[final] ).
cnf(i_0_485,plain,
( rreal(esk57_3(X1,X2,X3))
| X3 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[i_0_259]),
[final] ).
cnf(i_0_486,plain,
( rpoint(esk46_3(X1,X2,X3))
| X3 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[i_0_260]),
[final] ).
cnf(i_0_487,plain,
( ~ rS(X1,X2,X3)
| X3 != X4
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| ~ ron(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_261]),
[final] ).
cnf(i_0_488,plain,
( vg(X1,X2,X3) = esk57_3(X1,X2,X3)
| X3 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[i_0_259]),
[final] ).
cnf(i_0_489,plain,
( vg(X1,X2,X3) = vg(X1,X3,X2)
| X3 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[i_0_262]),
[final] ).
cnf(i_0_490,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)],[i_0_262]),
[final] ).
cnf(i_0_491,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)],[i_0_263]),
[final] ).
cnf(i_0_492,plain,
( rreal(esk16_3(X1,X2,X3))
| X3 != X4
| ~ rreal(X4)
| X1 != X2
| ~ rreal(X2) ),
inference(split_conjunct,[status(thm)],[i_0_264]),
[final] ).
cnf(i_0_493,plain,
( esk43_3(X1,X2,X3) != X3
| ~ ron(X3,X1)
| X3 != X4
| ~ rpoint(X4)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_249]),
[final] ).
cnf(i_0_494,plain,
( esk30_3(X1,X2,X3) != X3
| ~ ron(X3,X1)
| X3 != X4
| ~ rpoint(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_250]),
[final] ).
cnf(i_0_495,plain,
( rintersect(X4,X2)
| ~ ron(X1,X2)
| ~ rinside(X3,X2)
| ~ rinside(X1,X4)
| ~ ron(X3,X4)
| X1 != X5
| ~ rpoint(X5)
| X3 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[i_0_265]),
[final] ).
cnf(i_0_496,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)],[i_0_266]),
[final] ).
cnf(i_0_497,plain,
( ron(X3,X1)
| esk35_3(X1,X2,X3) != X3
| X3 != X4
| ~ rpoint(X4)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_241]),
[final] ).
cnf(i_0_498,plain,
( X1 != X2
| ~ rR(X2,X1,X3)
| X3 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[i_0_238]),
[final] ).
cnf(i_0_499,plain,
( X1 != X2
| ~ rR(X3,X1,X2)
| X2 != X4
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[i_0_238]),
[final] ).
cnf(i_0_500,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)],[i_0_267]),
[final] ).
cnf(i_0_501,plain,
( esk46_3(X1,X2,X3) != X1
| X3 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[i_0_260]),
[final] ).
cnf(i_0_502,plain,
( esk46_3(X1,X2,X3) != X2
| X3 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[i_0_260]),
[final] ).
cnf(i_0_503,plain,
( esk46_3(X1,X2,X3) != X3
| X3 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[i_0_260]),
[final] ).
cnf(i_0_504,plain,
( vf(X3,X1) = vf(X3,X4)
| ~ ron(X1,X2)
| ~ ron(X4,X2)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X3,X2)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[i_0_266]),
[final] ).
cnf(i_0_505,plain,
( vd1199 = vd1185
| rR(vd1199,vd1185,vd1186)
| rR(vd1185,vd1199,vd1186) ),
inference(split_conjunct,[status(thm)],[i_0_268]),
[final] ).
cnf(i_0_506,plain,
( vd1199 = vd1185
| rR(vd1185,vd1199,vd1186)
| rR(vd1199,vd1185,vd1186) ),
inference(split_conjunct,[status(thm)],[i_0_269]),
[final] ).
cnf(i_0_507,plain,
vangle(vd1201,vd1200,vd1199) = vangle(vd1180,vd1179,vd1178),
inference(split_conjunct,[status(thm)],['holds(conjunct1(conjunct2(conjunct2(plural(271)))), 1208, 0)']),
[final] ).
cnf(i_0_508,plain,
vangle(vd1199,vd1201,vd1200) = vangle(vd1178,vd1180,vd1179),
inference(split_conjunct,[status(thm)],['holds(conjunct1(conjunct2(plural(271))), 1207, 0)']),
[final] ).
cnf(i_0_509,plain,
vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187),
inference(split_conjunct,[status(thm)],[i_0_270]),
[final] ).
cnf(i_0_510,plain,
vangle(vd1200,vd1199,vd1201) = vangle(vd1179,vd1178,vd1180),
inference(split_conjunct,[status(thm)],['holds(conjunct1(plural(271)), 1206, 0)']),
[final] ).
cnf(i_0_511,plain,
vangle(vd1179,vd1178,vd1180) = vangle(vd1200,vd1199,vd1201),
inference(split_conjunct,[status(thm)],['holds(309, 1245, 0)']),
[final] ).
cnf(i_0_512,plain,
vangle(vd1186,vd1185,vd1201) = vangle(vd1200,vd1199,vd1201),
inference(split_conjunct,[status(thm)],['holds(308, 1244, 0)']),
[final] ).
cnf(i_0_513,plain,
vangle(vd1200,vd1199,vd1201) = vangle(vd1186,vd1185,vd1187),
inference(split_conjunct,[status(thm)],['holds(292, 1231, 0)']),
[final] ).
cnf(i_0_514,plain,
vangle(vd1200,vd1199,vd1201) = vangle(vd1186,vd1185,vd1187),
inference(split_conjunct,[status(thm)],['holds(309, 1245, 1)']),
[final] ).
cnf(i_0_515,plain,
( X1 != X2
| vtriangle(X1,X2,X3) != X4
| ~ rtriangle(X4) ),
inference(split_conjunct,[status(thm)],[i_0_237]),
[final] ).
cnf(i_0_516,plain,
( X1 != X2
| vtriangle(X1,X3,X2) != X4
| ~ rtriangle(X4) ),
inference(split_conjunct,[status(thm)],[i_0_237]),
[final] ).
cnf(i_0_517,plain,
( X1 != X2
| vtriangle(X3,X1,X2) != X4
| ~ rtriangle(X4) ),
inference(split_conjunct,[status(thm)],[i_0_237]),
[final] ).
cnf(i_0_518,plain,
( rintersect(X2,X3)
| ~ ron(X1,X2)
| ~ rinside(X1,X3)
| X2 != X4
| ~ rline(X4)
| X3 != X5
| ~ rcircle(X5)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[i_0_271]),
[final] ).
cnf(i_0_519,plain,
( rless(X3,X2)
| ~ rless(X1,X2)
| ~ rless(X3,X1)
| X2 != X4
| ~ rreal(X4)
| X1 != X5
| ~ rreal(X5)
| X3 != X6
| ~ rreal(X6) ),
inference(split_conjunct,[status(thm)],[i_0_272]),
[final] ).
cnf(i_0_520,plain,
( ron(X1,X2)
| rS(X1,X1,X2)
| X2 != X3
| ~ rline(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[i_0_273]),
[final] ).
cnf(i_0_521,plain,
( vplus(X1,X2) = esk16_3(X1,X3,X2)
| X2 != X4
| ~ rreal(X4)
| X1 != X3
| ~ rreal(X3) ),
inference(split_conjunct,[status(thm)],[i_0_264]),
[final] ).
cnf(i_0_522,plain,
( esk12_2(X1,X2) != esk13_2(X1,X2)
| ~ rintersect(X1,X2)
| X2 != X3
| ~ rcircle(X3)
| X1 != X4
| ~ rcircle(X4) ),
inference(split_conjunct,[status(thm)],[i_0_274]),
[final] ).
cnf(i_0_523,plain,
( ron(esk13_2(X1,X2),X1)
| ~ rintersect(X1,X2)
| X2 != X3
| ~ rcircle(X3)
| X1 != X4
| ~ rcircle(X4) ),
inference(split_conjunct,[status(thm)],[i_0_274]),
[final] ).
cnf(i_0_524,plain,
( ron(esk13_2(X1,X2),X2)
| ~ rintersect(X1,X2)
| X2 != X3
| ~ rcircle(X3)
| X1 != X4
| ~ rcircle(X4) ),
inference(split_conjunct,[status(thm)],[i_0_274]),
[final] ).
cnf(i_0_525,plain,
( ron(esk12_2(X1,X2),X1)
| ~ rintersect(X1,X2)
| X2 != X3
| ~ rcircle(X3)
| X1 != X4
| ~ rcircle(X4) ),
inference(split_conjunct,[status(thm)],[i_0_274]),
[final] ).
cnf(i_0_526,plain,
( ron(esk12_2(X1,X2),X2)
| ~ rintersect(X1,X2)
| X2 != X3
| ~ rcircle(X3)
| X1 != X4
| ~ rcircle(X4) ),
inference(split_conjunct,[status(thm)],[i_0_274]),
[final] ).
cnf(i_0_527,plain,
( vd1199 = vd1185
| ~ rR(vd1199,vd1185,vd1186) ),
inference(split_conjunct,[status(thm)],[i_0_275]),
[final] ).
cnf(i_0_528,plain,
( vd1199 = vd1185
| ~ rR(vd1185,vd1199,vd1186) ),
inference(split_conjunct,[status(thm)],[i_0_276]),
[final] ).
cnf(i_0_529,plain,
~ rS(vd1186,vd1201,vd1232),
inference(split_conjunct,[status(thm)],[i_0_277]),
[final] ).
cnf(i_0_530,plain,
~ rR(vd1186,vd1199,vd1185),
inference(split_conjunct,[status(thm)],[i_0_278]),
[final] ).
cnf(i_0_531,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)],[i_0_279]),
[final] ).
cnf(i_0_532,plain,
( vg(X3,X3,X1) = v0
| X1 != X2
| ~ rpoint(X2)
| X3 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[i_0_280]),
[final] ).
cnf(i_0_533,plain,
( rpoint(esk13_2(X1,X2))
| ~ rintersect(X1,X2)
| X2 != X3
| ~ rcircle(X3)
| X1 != X4
| ~ rcircle(X4) ),
inference(split_conjunct,[status(thm)],[i_0_274]),
[final] ).
cnf(i_0_534,plain,
( rpoint(esk12_2(X1,X2))
| ~ rintersect(X1,X2)
| X2 != X3
| ~ rcircle(X3)
| X1 != X4
| ~ rcircle(X4) ),
inference(split_conjunct,[status(thm)],[i_0_274]),
[final] ).
cnf(i_0_535,plain,
( X1 = X2
| ~ rless(X1,X2)
| X2 != X3
| ~ rreal(X3)
| X1 != X4
| ~ rreal(X4)
| ~ rless(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_281]),
[final] ).
cnf(i_0_536,plain,
( ~ ron(vd1187,X1)
| ~ ron(vd1186,X1)
| ~ ron(vd1185,X1)
| ~ rline(X1) ),
inference(split_conjunct,[status(thm)],[i_0_270]),
[final] ).
cnf(i_0_537,plain,
( ~ rinside(X1,X2)
| X2 != X3
| ~ rcircle(X3)
| X1 != X4
| ~ rpoint(X4)
| ~ ron(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_282]),
[final] ).
cnf(i_0_538,plain,
( rcenter(X1,esk15_2(X1,X2))
| X1 = X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[i_0_283]),
[final] ).
cnf(i_0_539,plain,
( ron(X1,esk15_2(X2,X1))
| X2 = X1
| X1 != X3
| ~ rpoint(X3)
| X2 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[i_0_283]),
[final] ).
cnf(i_0_540,plain,
( ron(X1,esk10_2(X1,X2))
| X1 = X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[i_0_284]),
[final] ).
cnf(i_0_541,plain,
( ron(X1,esk10_2(X2,X1))
| X2 = X1
| X1 != X3
| ~ rpoint(X3)
| X2 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[i_0_284]),
[final] ).
cnf(i_0_542,plain,
( rleq(v0,vf(X3,X1))
| X1 != X2
| ~ rpoint(X2)
| X3 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[i_0_285]),
[final] ).
cnf(i_0_543,plain,
( X3 = X1
| ~ rcenter(X1,X2)
| ~ rcenter(X3,X2)
| X2 != X4
| ~ rcircle(X4) ),
inference(split_conjunct,[status(thm)],[i_0_286]),
[final] ).
cnf(i_0_544,plain,
( rcircle(esk15_2(X1,X2))
| X1 = X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[i_0_283]),
[final] ).
cnf(i_0_545,plain,
( rline(esk10_2(X1,X2))
| X1 = X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[i_0_284]),
[final] ).
cnf(i_0_546,plain,
( rcircle(esk53_2(X1,X2))
| ~ rcenter(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_287]),
[final] ).
cnf(i_0_547,plain,
( rpoint(esk52_2(X1,X2))
| ~ rcenter(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_287]),
[final] ).
cnf(i_0_548,plain,
( rless(X3,X1)
| X3 = X1
| rless(X1,X3)
| X1 != X2
| ~ rreal(X2)
| X3 != X4
| ~ rreal(X4) ),
inference(split_conjunct,[status(thm)],[i_0_288]),
[final] ).
cnf(i_0_549,plain,
( rreal(esk11_2(X1,X2))
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[i_0_289]),
[final] ).
cnf(i_0_550,plain,
( rpoint(esk47_2(X1,X2))
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[i_0_290]),
[final] ).
cnf(i_0_551,plain,
rS(vd1200,vd1187,vd1234),
inference(split_conjunct,[status(thm)],['holds(306, 1242, 0)']),
[final] ).
cnf(i_0_552,plain,
rS(vd1201,vd1187,vd1197),
inference(split_conjunct,[status(thm)],['holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)']),
[final] ).
cnf(i_0_553,plain,
rS(vd1187,vd1201,vd1197),
inference(split_conjunct,[status(thm)],['holds(295, 1236, 0)']),
[final] ).
cnf(i_0_554,plain,
vangle(vd1187,vd1185,vd1201) = v0,
inference(split_conjunct,[status(thm)],['holds(310, 1246, 0)']),
[final] ).
cnf(i_0_555,plain,
( vf(X1,X2) = esk11_2(X1,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[i_0_289]),
[final] ).
cnf(i_0_556,plain,
( vplus(X3,X1) = vplus(X1,X3)
| X1 != X2
| ~ rreal(X2)
| X3 != X4
| ~ rreal(X4) ),
inference(split_conjunct,[status(thm)],[i_0_291]),
[final] ).
cnf(i_0_557,plain,
( vf(X3,X1) = vf(X1,X3)
| X1 != X2
| ~ rpoint(X2)
| X3 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[i_0_292]),
[final] ).
cnf(i_0_558,plain,
( X1 = X2
| vf(X1,X2) != v0
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[i_0_293]),
[final] ).
cnf(i_0_559,plain,
( esk47_2(X1,X2) != X1
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[i_0_290]),
[final] ).
cnf(i_0_560,plain,
( esk47_2(X1,X2) != X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[i_0_290]),
[final] ).
cnf(i_0_561,plain,
( ~ rinside(esk27_1(X1),X1)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_294]),
[final] ).
cnf(i_0_562,plain,
( ~ ron(esk27_1(X1),X1)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_294]),
[final] ).
cnf(i_0_563,plain,
( vf(X1,X2) = v0
| X1 != X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[i_0_293]),
[final] ).
cnf(i_0_564,plain,
( X1 = esk53_2(X2,X1)
| ~ rcenter(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_287]),
[final] ).
cnf(i_0_565,plain,
( X1 = esk52_2(X1,X2)
| ~ rcenter(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_287]),
[final] ).
cnf(i_0_566,plain,
( rinside(X1,X2)
| ~ rcenter(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_295]),
[final] ).
cnf(i_0_567,plain,
( X1 != X2
| ~ rreal(X2)
| ~ rless(X1,X1) ),
inference(split_conjunct,[status(thm)],[i_0_296]),
[final] ).
cnf(i_0_568,plain,
( rinside(esk28_1(X1),X1)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_297]),
[final] ).
cnf(i_0_569,plain,
( ron(esk44_1(X1),X1)
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_298]),
[final] ).
cnf(i_0_570,plain,
( ron(esk31_1(X1),X1)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_299]),
[final] ).
cnf(i_0_571,plain,
( vplus(X1,v0) = X1
| X1 != X2
| ~ rreal(X2) ),
inference(split_conjunct,[status(thm)],[i_0_300]),
[final] ).
cnf(i_0_572,plain,
vf(vd1178,vd1180) = vf(vd1199,vd1201),
inference(split_conjunct,[status(thm)],['holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(plural(271)))))), 1211, 0)']),
[final] ).
cnf(i_0_573,plain,
vf(vd1178,vd1180) = vf(vd1185,vd1187),
inference(split_conjunct,[status(thm)],[i_0_270]),
[final] ).
cnf(i_0_574,plain,
vf(vd1178,vd1179) = vf(vd1199,vd1200),
inference(split_conjunct,[status(thm)],['holds(conjunct1(conjunct2(conjunct2(conjunct2(plural(271))))), 1209, 0)']),
[final] ).
cnf(i_0_575,plain,
vf(vd1178,vd1179) = vf(vd1185,vd1186),
inference(split_conjunct,[status(thm)],[i_0_270]),
[final] ).
cnf(i_0_576,plain,
vf(vd1179,vd1180) = vf(vd1200,vd1201),
inference(split_conjunct,[status(thm)],['holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(plural(271)))))), 1210, 0)']),
[final] ).
cnf(i_0_577,plain,
vf(vd1199,vd1200) = vf(vd1185,vd1186),
inference(split_conjunct,[status(thm)],['holds(273, 1215, 0)']),
[final] ).
cnf(i_0_578,plain,
( rpoint(esk48_1(X1))
| X1 != X2
| ~ rpoint(X2) ),
inference(split_conjunct,[status(thm)],[i_0_301]),
[final] ).
cnf(i_0_579,plain,
( rpoint(esk44_1(X1))
| X1 != X2
| ~ rline(X2) ),
inference(split_conjunct,[status(thm)],[i_0_298]),
[final] ).
cnf(i_0_580,plain,
( rpoint(esk31_1(X1))
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_299]),
[final] ).
cnf(i_0_581,plain,
( rpoint(esk28_1(X1))
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_297]),
[final] ).
cnf(i_0_582,plain,
( rpoint(esk27_1(X1))
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[i_0_294]),
[final] ).
cnf(i_0_583,plain,
( esk48_1(X1) != X1
| X1 != X2
| ~ rpoint(X2) ),
inference(split_conjunct,[status(thm)],[i_0_301]),
[final] ).
cnf(i_0_584,plain,
~ ron(vd1201,vd1232),
inference(split_conjunct,[status(thm)],[i_0_302]),
[final] ).
cnf(i_0_585,plain,
~ ron(vd1187,vd1197),
inference(split_conjunct,[status(thm)],[i_0_303]),
[final] ).
cnf(i_0_586,plain,
ron(vd1186,vd1197),
inference(split_conjunct,[status(thm)],['pred(s2(plural(269)), 0)']),
[final] ).
cnf(i_0_587,plain,
ron(vd1199,vd1197),
inference(split_conjunct,[status(thm)],['pred(272, 0)']),
[final] ).
cnf(i_0_588,plain,
ron(vd1199,vd1197),
inference(split_conjunct,[status(thm)],['pred(s1(plural(274)), 0)']),
[final] ).
cnf(i_0_589,plain,
ron(vd1199,vd1197),
inference(split_conjunct,[status(thm)],['pred(conjunct1(conjunct2(comma_conjunct2(plural(271)))), 0)']),
[final] ).
cnf(i_0_590,plain,
ron(vd1200,vd1197),
inference(split_conjunct,[status(thm)],['pred(s2(plural(274)), 0)']),
[final] ).
cnf(i_0_591,plain,
ron(vd1201,vd1234),
inference(split_conjunct,[status(thm)],['pred(s2(plural(294)), 0)']),
[final] ).
cnf(i_0_592,plain,
ron(vd1185,vd1234),
inference(split_conjunct,[status(thm)],['pred(s1(plural(294)), 0)']),
[final] ).
cnf(i_0_593,plain,
ron(vd1185,vd1197),
inference(split_conjunct,[status(thm)],['pred(s1(plural(269)), 0)']),
[final] ).
cnf(i_0_594,plain,
ron(vd1185,vd1197),
inference(split_conjunct,[status(thm)],['pred(s3(plural(274)), 0)']),
[final] ).
cnf(i_0_595,plain,
ron(vd1185,vd1232),
inference(split_conjunct,[status(thm)],['pred(s1(plural(293)), 0)']),
[final] ).
cnf(i_0_596,plain,
ron(vd1187,vd1232),
inference(split_conjunct,[status(thm)],['pred(s2(plural(293)), 0)']),
[final] ).
cnf(i_0_597,plain,
ron(vd1187,vd1232),
inference(split_conjunct,[status(thm)],['pred(311, 0)']),
[final] ).
cnf(i_0_598,plain,
rreal(vd684),
inference(split_conjunct,[status(thm)],['pred(axiom(137), 1)']),
[final] ).
cnf(i_0_599,plain,
rpoint(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_304]),
[final] ).
cnf(i_0_600,plain,
rpoint(esk8_0),
inference(split_conjunct,[status(thm)],[i_0_305]),
[final] ).
cnf(i_0_601,plain,
rpoint(esk7_0),
inference(split_conjunct,[status(thm)],[i_0_306]),
[final] ).
cnf(i_0_602,plain,
rpoint(esk6_0),
inference(split_conjunct,[status(thm)],[i_0_270]),
[final] ).
cnf(i_0_603,plain,
rpoint(esk5_0),
inference(split_conjunct,[status(thm)],[i_0_270]),
[final] ).
cnf(i_0_604,plain,
rpoint(esk4_0),
inference(split_conjunct,[status(thm)],[i_0_270]),
[final] ).
cnf(i_0_605,plain,
rpoint(esk3_0),
inference(split_conjunct,[status(thm)],[i_0_270]),
[final] ).
cnf(i_0_606,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[i_0_270]),
[final] ).
cnf(i_0_607,plain,
rpoint(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_270]),
[final] ).
cnf(i_0_608,plain,
rpoint(vd14),
inference(split_conjunct,[status(thm)],['pred(axiom(5), 0)']),
[final] ).
cnf(i_0_609,plain,
rline(vd1234),
inference(split_conjunct,[status(thm)],['pred(294, 0)']),
[final] ).
cnf(i_0_610,plain,
rline(vd1197),
inference(split_conjunct,[status(thm)],['pred(269, 0)']),
[final] ).
cnf(i_0_611,plain,
rline(vd1232),
inference(split_conjunct,[status(thm)],['pred(293, 0)']),
[final] ).
cnf(i_0_612,plain,
vd1178 != vd1180,
inference(split_conjunct,[status(thm)],[i_0_270]),
[final] ).
cnf(i_0_613,plain,
vd1179 != vd1180,
inference(split_conjunct,[status(thm)],[i_0_270]),
[final] ).
cnf(i_0_614,plain,
vd1178 != vd1179,
inference(split_conjunct,[status(thm)],[i_0_270]),
[final] ).
cnf(i_0_615,plain,
vd1199 = esk9_0,
inference(split_conjunct,[status(thm)],[i_0_304]),
[final] ).
cnf(i_0_616,plain,
vd1200 = esk8_0,
inference(split_conjunct,[status(thm)],[i_0_305]),
[final] ).
cnf(i_0_617,plain,
vd1201 = esk7_0,
inference(split_conjunct,[status(thm)],[i_0_306]),
[final] ).
cnf(i_0_618,plain,
vd1178 = esk6_0,
inference(split_conjunct,[status(thm)],[i_0_270]),
[final] ).
cnf(i_0_619,plain,
vd1179 = esk5_0,
inference(split_conjunct,[status(thm)],[i_0_270]),
[final] ).
cnf(i_0_620,plain,
vd1180 = esk4_0,
inference(split_conjunct,[status(thm)],[i_0_270]),
[final] ).
cnf(i_0_621,plain,
vd1185 = esk3_0,
inference(split_conjunct,[status(thm)],[i_0_270]),
[final] ).
cnf(i_0_622,plain,
vd1186 = esk2_0,
inference(split_conjunct,[status(thm)],[i_0_270]),
[final] ).
cnf(i_0_623,plain,
vd1187 = esk1_0,
inference(split_conjunct,[status(thm)],[i_0_270]),
[final] ).
cnf(i_0_624,plain,
v0 = vd684,
inference(split_conjunct,[status(thm)],['pred(axiom(137), 2)']),
[final] ).
cnf(i_0_625,plain,
vd1200 = vd1186,
inference(split_conjunct,[status(thm)],['holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)']),
[final] ).
cnf(i_0_626,plain,
vd1199 = vd1185,
inference(split_conjunct,[status(thm)],['holds(291, 1230, 0)']),
[final] ).
cnf(i_0_627,axiom,
X1 = X1 ).
cnf(i_0_628,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_629,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_630,axiom,
( X1 != X2
| vangle(X1,X3,X4) = vangle(X2,X3,X4) ) ).
cnf(i_0_631,axiom,
( X1 != X2
| vangle(X3,X1,X4) = vangle(X3,X2,X4) ) ).
cnf(i_0_632,axiom,
( X1 != X2
| vangle(X3,X4,X1) = vangle(X3,X4,X2) ) ).
cnf(i_0_633,axiom,
( X1 != X2
| esk38_6(X1,X3,X4,X5,X6,X7) = esk38_6(X2,X3,X4,X5,X6,X7) ) ).
cnf(i_0_634,axiom,
( X1 != X2
| esk38_6(X3,X1,X4,X5,X6,X7) = esk38_6(X3,X2,X4,X5,X6,X7) ) ).
cnf(i_0_635,axiom,
( X1 != X2
| esk38_6(X3,X4,X1,X5,X6,X7) = esk38_6(X3,X4,X2,X5,X6,X7) ) ).
cnf(i_0_636,axiom,
( X1 != X2
| esk38_6(X3,X4,X5,X1,X6,X7) = esk38_6(X3,X4,X5,X2,X6,X7) ) ).
cnf(i_0_637,axiom,
( X1 != X2
| esk38_6(X3,X4,X5,X6,X1,X7) = esk38_6(X3,X4,X5,X6,X2,X7) ) ).
cnf(i_0_638,axiom,
( X1 != X2
| esk38_6(X3,X4,X5,X6,X7,X1) = esk38_6(X3,X4,X5,X6,X7,X2) ) ).
cnf(i_0_639,axiom,
( X1 != X2
| esk39_5(X1,X3,X4,X5,X6) = esk39_5(X2,X3,X4,X5,X6) ) ).
cnf(i_0_640,axiom,
( X1 != X2
| esk39_5(X3,X1,X4,X5,X6) = esk39_5(X3,X2,X4,X5,X6) ) ).
cnf(i_0_641,axiom,
( X1 != X2
| esk39_5(X3,X4,X1,X5,X6) = esk39_5(X3,X4,X2,X5,X6) ) ).
cnf(i_0_642,axiom,
( X1 != X2
| esk39_5(X3,X4,X5,X1,X6) = esk39_5(X3,X4,X5,X2,X6) ) ).
cnf(i_0_643,axiom,
( X1 != X2
| esk39_5(X3,X4,X5,X6,X1) = esk39_5(X3,X4,X5,X6,X2) ) ).
cnf(i_0_644,axiom,
( X1 != X2
| esk36_5(X1,X3,X4,X5,X6) = esk36_5(X2,X3,X4,X5,X6) ) ).
cnf(i_0_645,axiom,
( X1 != X2
| esk36_5(X3,X1,X4,X5,X6) = esk36_5(X3,X2,X4,X5,X6) ) ).
cnf(i_0_646,axiom,
( X1 != X2
| esk36_5(X3,X4,X1,X5,X6) = esk36_5(X3,X4,X2,X5,X6) ) ).
cnf(i_0_647,axiom,
( X1 != X2
| esk36_5(X3,X4,X5,X1,X6) = esk36_5(X3,X4,X5,X2,X6) ) ).
cnf(i_0_648,axiom,
( X1 != X2
| esk36_5(X3,X4,X5,X6,X1) = esk36_5(X3,X4,X5,X6,X2) ) ).
cnf(i_0_649,axiom,
( X1 != X2
| esk34_5(X1,X3,X4,X5,X6) = esk34_5(X2,X3,X4,X5,X6) ) ).
cnf(i_0_650,axiom,
( X1 != X2
| esk34_5(X3,X1,X4,X5,X6) = esk34_5(X3,X2,X4,X5,X6) ) ).
cnf(i_0_651,axiom,
( X1 != X2
| esk34_5(X3,X4,X1,X5,X6) = esk34_5(X3,X4,X2,X5,X6) ) ).
cnf(i_0_652,axiom,
( X1 != X2
| esk34_5(X3,X4,X5,X1,X6) = esk34_5(X3,X4,X5,X2,X6) ) ).
cnf(i_0_653,axiom,
( X1 != X2
| esk34_5(X3,X4,X5,X6,X1) = esk34_5(X3,X4,X5,X6,X2) ) ).
cnf(i_0_654,axiom,
( X1 != X2
| esk42_5(X1,X3,X4,X5,X6) = esk42_5(X2,X3,X4,X5,X6) ) ).
cnf(i_0_655,axiom,
( X1 != X2
| esk42_5(X3,X1,X4,X5,X6) = esk42_5(X3,X2,X4,X5,X6) ) ).
cnf(i_0_656,axiom,
( X1 != X2
| esk42_5(X3,X4,X1,X5,X6) = esk42_5(X3,X4,X2,X5,X6) ) ).
cnf(i_0_657,axiom,
( X1 != X2
| esk42_5(X3,X4,X5,X1,X6) = esk42_5(X3,X4,X5,X2,X6) ) ).
cnf(i_0_658,axiom,
( X1 != X2
| esk42_5(X3,X4,X5,X6,X1) = esk42_5(X3,X4,X5,X6,X2) ) ).
cnf(i_0_659,axiom,
( X1 != X2
| vplus(X1,X3) = vplus(X2,X3) ) ).
cnf(i_0_660,axiom,
( X1 != X2
| vplus(X3,X1) = vplus(X3,X2) ) ).
cnf(i_0_661,axiom,
( X1 != X2
| vg(X1,X3,X4) = vg(X2,X3,X4) ) ).
cnf(i_0_662,axiom,
( X1 != X2
| vg(X3,X1,X4) = vg(X3,X2,X4) ) ).
cnf(i_0_663,axiom,
( X1 != X2
| vg(X3,X4,X1) = vg(X3,X4,X2) ) ).
cnf(i_0_664,axiom,
( X1 != X2
| esk41_4(X1,X3,X4,X5) = esk41_4(X2,X3,X4,X5) ) ).
cnf(i_0_665,axiom,
( X1 != X2
| esk41_4(X3,X1,X4,X5) = esk41_4(X3,X2,X4,X5) ) ).
cnf(i_0_666,axiom,
( X1 != X2
| esk41_4(X3,X4,X1,X5) = esk41_4(X3,X4,X2,X5) ) ).
cnf(i_0_667,axiom,
( X1 != X2
| esk41_4(X3,X4,X5,X1) = esk41_4(X3,X4,X5,X2) ) ).
cnf(i_0_668,axiom,
( X1 != X2
| esk29_4(X1,X3,X4,X5) = esk29_4(X2,X3,X4,X5) ) ).
cnf(i_0_669,axiom,
( X1 != X2
| esk29_4(X3,X1,X4,X5) = esk29_4(X3,X2,X4,X5) ) ).
cnf(i_0_670,axiom,
( X1 != X2
| esk29_4(X3,X4,X1,X5) = esk29_4(X3,X4,X2,X5) ) ).
cnf(i_0_671,axiom,
( X1 != X2
| esk29_4(X3,X4,X5,X1) = esk29_4(X3,X4,X5,X2) ) ).
cnf(i_0_672,axiom,
( X1 != X2
| esk45_4(X1,X3,X4,X5) = esk45_4(X2,X3,X4,X5) ) ).
cnf(i_0_673,axiom,
( X1 != X2
| esk45_4(X3,X1,X4,X5) = esk45_4(X3,X2,X4,X5) ) ).
cnf(i_0_674,axiom,
( X1 != X2
| esk45_4(X3,X4,X1,X5) = esk45_4(X3,X4,X2,X5) ) ).
cnf(i_0_675,axiom,
( X1 != X2
| esk45_4(X3,X4,X5,X1) = esk45_4(X3,X4,X5,X2) ) ).
cnf(i_0_676,axiom,
( X1 != X2
| esk23_3(X1,X3,X4) = esk23_3(X2,X3,X4) ) ).
cnf(i_0_677,axiom,
( X1 != X2
| esk23_3(X3,X1,X4) = esk23_3(X3,X2,X4) ) ).
cnf(i_0_678,axiom,
( X1 != X2
| esk23_3(X3,X4,X1) = esk23_3(X3,X4,X2) ) ).
cnf(i_0_679,axiom,
( X1 != X2
| esk24_3(X1,X3,X4) = esk24_3(X2,X3,X4) ) ).
cnf(i_0_680,axiom,
( X1 != X2
| esk24_3(X3,X1,X4) = esk24_3(X3,X2,X4) ) ).
cnf(i_0_681,axiom,
( X1 != X2
| esk24_3(X3,X4,X1) = esk24_3(X3,X4,X2) ) ).
cnf(i_0_682,axiom,
( X1 != X2
| esk51_3(X1,X3,X4) = esk51_3(X2,X3,X4) ) ).
cnf(i_0_683,axiom,
( X1 != X2
| esk51_3(X3,X1,X4) = esk51_3(X3,X2,X4) ) ).
cnf(i_0_684,axiom,
( X1 != X2
| esk51_3(X3,X4,X1) = esk51_3(X3,X4,X2) ) ).
cnf(i_0_685,axiom,
( X1 != X2
| vtriangle(X1,X3,X4) = vtriangle(X2,X3,X4) ) ).
cnf(i_0_686,axiom,
( X1 != X2
| vtriangle(X3,X1,X4) = vtriangle(X3,X2,X4) ) ).
cnf(i_0_687,axiom,
( X1 != X2
| vtriangle(X3,X4,X1) = vtriangle(X3,X4,X2) ) ).
cnf(i_0_688,axiom,
( X1 != X2
| esk50_3(X1,X3,X4) = esk50_3(X2,X3,X4) ) ).
cnf(i_0_689,axiom,
( X1 != X2
| esk50_3(X3,X1,X4) = esk50_3(X3,X2,X4) ) ).
cnf(i_0_690,axiom,
( X1 != X2
| esk50_3(X3,X4,X1) = esk50_3(X3,X4,X2) ) ).
cnf(i_0_691,axiom,
( X1 != X2
| esk49_3(X1,X3,X4) = esk49_3(X2,X3,X4) ) ).
cnf(i_0_692,axiom,
( X1 != X2
| esk49_3(X3,X1,X4) = esk49_3(X3,X2,X4) ) ).
cnf(i_0_693,axiom,
( X1 != X2
| esk49_3(X3,X4,X1) = esk49_3(X3,X4,X2) ) ).
cnf(i_0_694,axiom,
( X1 != X2
| esk35_3(X1,X3,X4) = esk35_3(X2,X3,X4) ) ).
cnf(i_0_695,axiom,
( X1 != X2
| esk35_3(X3,X1,X4) = esk35_3(X3,X2,X4) ) ).
cnf(i_0_696,axiom,
( X1 != X2
| esk35_3(X3,X4,X1) = esk35_3(X3,X4,X2) ) ).
cnf(i_0_697,axiom,
( X1 != X2
| esk43_3(X1,X3,X4) = esk43_3(X2,X3,X4) ) ).
cnf(i_0_698,axiom,
( X1 != X2
| esk43_3(X3,X1,X4) = esk43_3(X3,X2,X4) ) ).
cnf(i_0_699,axiom,
( X1 != X2
| esk43_3(X3,X4,X1) = esk43_3(X3,X4,X2) ) ).
cnf(i_0_700,axiom,
( X1 != X2
| esk30_3(X1,X3,X4) = esk30_3(X2,X3,X4) ) ).
cnf(i_0_701,axiom,
( X1 != X2
| esk30_3(X3,X1,X4) = esk30_3(X3,X2,X4) ) ).
cnf(i_0_702,axiom,
( X1 != X2
| esk30_3(X3,X4,X1) = esk30_3(X3,X4,X2) ) ).
cnf(i_0_703,axiom,
( X1 != X2
| esk54_18(X1,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = esk54_18(X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).
cnf(i_0_704,axiom,
( X1 != X2
| esk54_18(X3,X1,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = esk54_18(X3,X2,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).
cnf(i_0_705,axiom,
( X1 != X2
| esk54_18(X3,X4,X1,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = esk54_18(X3,X4,X2,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).
cnf(i_0_706,axiom,
( X1 != X2
| esk54_18(X3,X4,X5,X1,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = esk54_18(X3,X4,X5,X2,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).
cnf(i_0_707,axiom,
( X1 != X2
| esk54_18(X3,X4,X5,X6,X1,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = esk54_18(X3,X4,X5,X6,X2,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).
cnf(i_0_708,axiom,
( X1 != X2
| esk54_18(X3,X4,X5,X6,X7,X1,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = esk54_18(X3,X4,X5,X6,X7,X2,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).
cnf(i_0_709,axiom,
( X1 != X2
| esk54_18(X3,X4,X5,X6,X7,X8,X1,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = esk54_18(X3,X4,X5,X6,X7,X8,X2,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).
cnf(i_0_710,axiom,
( X1 != X2
| esk54_18(X3,X4,X5,X6,X7,X8,X9,X1,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = esk54_18(X3,X4,X5,X6,X7,X8,X9,X2,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).
cnf(i_0_711,axiom,
( X1 != X2
| esk54_18(X3,X4,X5,X6,X7,X8,X9,X10,X1,X11,X12,X13,X14,X15,X16,X17,X18,X19) = esk54_18(X3,X4,X5,X6,X7,X8,X9,X10,X2,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).
cnf(i_0_712,axiom,
( X1 != X2
| esk54_18(X3,X4,X5,X6,X7,X8,X9,X10,X11,X1,X12,X13,X14,X15,X16,X17,X18,X19) = esk54_18(X3,X4,X5,X6,X7,X8,X9,X10,X11,X2,X12,X13,X14,X15,X16,X17,X18,X19) ) ).
cnf(i_0_713,axiom,
( X1 != X2
| esk54_18(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X1,X13,X14,X15,X16,X17,X18,X19) = esk54_18(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X2,X13,X14,X15,X16,X17,X18,X19) ) ).
cnf(i_0_714,axiom,
( X1 != X2
| esk54_18(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X1,X14,X15,X16,X17,X18,X19) = esk54_18(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X2,X14,X15,X16,X17,X18,X19) ) ).
cnf(i_0_715,axiom,
( X1 != X2
| esk54_18(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X1,X15,X16,X17,X18,X19) = esk54_18(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X2,X15,X16,X17,X18,X19) ) ).
cnf(i_0_716,axiom,
( X1 != X2
| esk54_18(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X1,X16,X17,X18,X19) = esk54_18(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X2,X16,X17,X18,X19) ) ).
cnf(i_0_717,axiom,
( X1 != X2
| esk54_18(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X1,X17,X18,X19) = esk54_18(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X2,X17,X18,X19) ) ).
cnf(i_0_718,axiom,
( X1 != X2
| esk54_18(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X1,X18,X19) = esk54_18(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X2,X18,X19) ) ).
cnf(i_0_719,axiom,
( X1 != X2
| esk54_18(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X1,X19) = esk54_18(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X2,X19) ) ).
cnf(i_0_720,axiom,
( X1 != X2
| esk54_18(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X1) = esk54_18(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X2) ) ).
cnf(i_0_721,axiom,
( X1 != X2
| esk57_3(X1,X3,X4) = esk57_3(X2,X3,X4) ) ).
cnf(i_0_722,axiom,
( X1 != X2
| esk57_3(X3,X1,X4) = esk57_3(X3,X2,X4) ) ).
cnf(i_0_723,axiom,
( X1 != X2
| esk57_3(X3,X4,X1) = esk57_3(X3,X4,X2) ) ).
cnf(i_0_724,axiom,
( X1 != X2
| esk46_3(X1,X3,X4) = esk46_3(X2,X3,X4) ) ).
cnf(i_0_725,axiom,
( X1 != X2
| esk46_3(X3,X1,X4) = esk46_3(X3,X2,X4) ) ).
cnf(i_0_726,axiom,
( X1 != X2
| esk46_3(X3,X4,X1) = esk46_3(X3,X4,X2) ) ).
cnf(i_0_727,axiom,
( X1 != X2
| esk16_3(X1,X3,X4) = esk16_3(X2,X3,X4) ) ).
cnf(i_0_728,axiom,
( X1 != X2
| esk16_3(X3,X1,X4) = esk16_3(X3,X2,X4) ) ).
cnf(i_0_729,axiom,
( X1 != X2
| esk16_3(X3,X4,X1) = esk16_3(X3,X4,X2) ) ).
cnf(i_0_730,axiom,
( X1 != X2
| esk12_2(X1,X3) = esk12_2(X2,X3) ) ).
cnf(i_0_731,axiom,
( X1 != X2
| esk12_2(X3,X1) = esk12_2(X3,X2) ) ).
cnf(i_0_732,axiom,
( X1 != X2
| esk13_2(X1,X3) = esk13_2(X2,X3) ) ).
cnf(i_0_733,axiom,
( X1 != X2
| esk13_2(X3,X1) = esk13_2(X3,X2) ) ).
cnf(i_0_734,axiom,
( X1 != X2
| esk53_2(X1,X3) = esk53_2(X2,X3) ) ).
cnf(i_0_735,axiom,
( X1 != X2
| esk53_2(X3,X1) = esk53_2(X3,X2) ) ).
cnf(i_0_736,axiom,
( X1 != X2
| esk52_2(X1,X3) = esk52_2(X2,X3) ) ).
cnf(i_0_737,axiom,
( X1 != X2
| esk52_2(X3,X1) = esk52_2(X3,X2) ) ).
cnf(i_0_738,axiom,
( X1 != X2
| vf(X1,X3) = vf(X2,X3) ) ).
cnf(i_0_739,axiom,
( X1 != X2
| vf(X3,X1) = vf(X3,X2) ) ).
cnf(i_0_740,axiom,
( X1 != X2
| esk11_2(X1,X3) = esk11_2(X2,X3) ) ).
cnf(i_0_741,axiom,
( X1 != X2
| esk11_2(X3,X1) = esk11_2(X3,X2) ) ).
cnf(i_0_742,axiom,
( X1 != X2
| esk47_2(X1,X3) = esk47_2(X2,X3) ) ).
cnf(i_0_743,axiom,
( X1 != X2
| esk47_2(X3,X1) = esk47_2(X3,X2) ) ).
cnf(i_0_744,axiom,
( X1 != X2
| esk48_1(X1) = esk48_1(X2) ) ).
cnf(i_0_745,axiom,
( X1 != X2
| esk33_7(X1,X3,X4,X5,X6,X7,X8) = esk33_7(X2,X3,X4,X5,X6,X7,X8) ) ).
cnf(i_0_746,axiom,
( X1 != X2
| esk33_7(X3,X1,X4,X5,X6,X7,X8) = esk33_7(X3,X2,X4,X5,X6,X7,X8) ) ).
cnf(i_0_747,axiom,
( X1 != X2
| esk33_7(X3,X4,X1,X5,X6,X7,X8) = esk33_7(X3,X4,X2,X5,X6,X7,X8) ) ).
cnf(i_0_748,axiom,
( X1 != X2
| esk33_7(X3,X4,X5,X1,X6,X7,X8) = esk33_7(X3,X4,X5,X2,X6,X7,X8) ) ).
cnf(i_0_749,axiom,
( X1 != X2
| esk33_7(X3,X4,X5,X6,X1,X7,X8) = esk33_7(X3,X4,X5,X6,X2,X7,X8) ) ).
cnf(i_0_750,axiom,
( X1 != X2
| esk33_7(X3,X4,X5,X6,X7,X1,X8) = esk33_7(X3,X4,X5,X6,X7,X2,X8) ) ).
cnf(i_0_751,axiom,
( X1 != X2
| esk33_7(X3,X4,X5,X6,X7,X8,X1) = esk33_7(X3,X4,X5,X6,X7,X8,X2) ) ).
cnf(i_0_752,axiom,
( X1 != X2
| ~ ron(X1,X3)
| ron(X2,X3) ) ).
cnf(i_0_753,axiom,
( X1 != X2
| ~ ron(X3,X1)
| ron(X3,X2) ) ).
cnf(i_0_754,axiom,
( X1 != X2
| ~ rinside(X1,X3)
| rinside(X2,X3) ) ).
cnf(i_0_755,axiom,
( X1 != X2
| ~ rinside(X3,X1)
| rinside(X3,X2) ) ).
cnf(i_0_756,axiom,
( X1 != X2
| ~ rtriangle(X1)
| rtriangle(X2) ) ).
cnf(i_0_757,axiom,
( X1 != X2
| ~ rleq(X1,X3)
| rleq(X2,X3) ) ).
cnf(i_0_758,axiom,
( X1 != X2
| ~ rleq(X3,X1)
| rleq(X3,X2) ) ).
cnf(i_0_759,axiom,
( X1 != X2
| ~ rgeq(X1,X3)
| rgeq(X2,X3) ) ).
cnf(i_0_760,axiom,
( X1 != X2
| ~ rgeq(X3,X1)
| rgeq(X3,X2) ) ).
cnf(i_0_761,axiom,
( X1 != X2
| ~ rreal(X1)
| rreal(X2) ) ).
cnf(i_0_762,axiom,
( X1 != X2
| ~ rline(X1)
| rline(X2) ) ).
cnf(i_0_763,axiom,
( X1 != X2
| ~ rpoint(X1)
| rpoint(X2) ) ).
cnf(i_0_764,axiom,
( X1 != X2
| ~ rR(X1,X3,X4)
| rR(X2,X3,X4) ) ).
cnf(i_0_765,axiom,
( X1 != X2
| ~ rR(X3,X1,X4)
| rR(X3,X2,X4) ) ).
cnf(i_0_766,axiom,
( X1 != X2
| ~ rR(X3,X4,X1)
| rR(X3,X4,X2) ) ).
cnf(i_0_767,axiom,
( X1 != X2
| ~ rS(X1,X3,X4)
| rS(X2,X3,X4) ) ).
cnf(i_0_768,axiom,
( X1 != X2
| ~ rS(X3,X1,X4)
| rS(X3,X2,X4) ) ).
cnf(i_0_769,axiom,
( X1 != X2
| ~ rS(X3,X4,X1)
| rS(X3,X4,X2) ) ).
cnf(i_0_770,axiom,
( X1 != X2
| ~ rless(X1,X3)
| rless(X2,X3) ) ).
cnf(i_0_771,axiom,
( X1 != X2
| ~ rless(X3,X1)
| rless(X3,X2) ) ).
cnf(i_0_772,axiom,
( X1 != X2
| ~ rcenter(X1,X3)
| rcenter(X2,X3) ) ).
cnf(i_0_773,axiom,
( X1 != X2
| ~ rcenter(X3,X1)
| rcenter(X3,X2) ) ).
cnf(i_0_774,axiom,
( X1 != X2
| ~ rintersect(X1,X3)
| rintersect(X2,X3) ) ).
cnf(i_0_775,axiom,
( X1 != X2
| ~ rintersect(X3,X1)
| rintersect(X3,X2) ) ).
cnf(i_0_776,axiom,
( X1 != X2
| ~ rcircle(X1)
| rcircle(X2) ) ).
cnf(i_0_796,plain,
vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)) = vangle(vd1186,vd1185,vd1201),
inference(scs_inference,[],[i_0_425,i_0_628]) ).
cnf(i_0_797,plain,
~ rless(v0,v0),
inference(scs_inference,[],[i_0_425,i_0_598,i_0_624,i_0_628,i_0_567]) ).
cnf(i_0_799,plain,
vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)) = vangle(vd1200,vd1199,vd1201),
inference(scs_inference,[],[i_0_425,i_0_512,i_0_598,i_0_624,i_0_628,i_0_567,i_0_629]) ).
cnf(i_0_800,plain,
vd1187 != vd1201,
inference(scs_inference,[],[i_0_425,i_0_597,i_0_512,i_0_584,i_0_598,i_0_624,i_0_628,i_0_567,i_0_629,i_0_752]) ).
cnf(i_0_801,plain,
vd1234 != vd1232,
inference(scs_inference,[],[i_0_425,i_0_597,i_0_512,i_0_584,i_0_591,i_0_598,i_0_624,i_0_628,i_0_567,i_0_629,i_0_752,i_0_753]) ).
cnf(i_0_802,plain,
~ rR(vd1200,vd1199,vd1185),
inference(scs_inference,[],[i_0_425,i_0_597,i_0_512,i_0_530,i_0_584,i_0_591,i_0_598,i_0_624,i_0_625,i_0_628,i_0_567,i_0_629,i_0_752,i_0_753,i_0_764]) ).
cnf(i_0_803,plain,
~ rR(vd1186,vd1199,vd1199),
inference(scs_inference,[],[i_0_425,i_0_626,i_0_597,i_0_512,i_0_530,i_0_584,i_0_591,i_0_598,i_0_624,i_0_625,i_0_628,i_0_567,i_0_629,i_0_752,i_0_753,i_0_764,i_0_766]) ).
cnf(i_0_804,plain,
~ rS(vd1200,vd1201,vd1232),
inference(scs_inference,[],[i_0_425,i_0_626,i_0_597,i_0_512,i_0_529,i_0_530,i_0_584,i_0_591,i_0_598,i_0_624,i_0_625,i_0_628,i_0_567,i_0_629,i_0_752,i_0_753,i_0_764,i_0_766,i_0_767]) ).
cnf(i_0_805,plain,
~ rless(vangle(vd1187,vd1185,vd1201),v0),
inference(scs_inference,[],[i_0_425,i_0_626,i_0_597,i_0_512,i_0_529,i_0_530,i_0_584,i_0_591,i_0_598,i_0_624,i_0_625,i_0_554,i_0_628,i_0_567,i_0_629,i_0_752,i_0_753,i_0_764,i_0_766,i_0_767,i_0_770]) ).
cnf(i_0_806,plain,
~ rless(v0,vangle(vd1187,vd1185,vd1201)),
inference(scs_inference,[],[i_0_425,i_0_626,i_0_597,i_0_512,i_0_529,i_0_530,i_0_584,i_0_591,i_0_598,i_0_624,i_0_625,i_0_554,i_0_628,i_0_567,i_0_629,i_0_752,i_0_753,i_0_764,i_0_766,i_0_767,i_0_770,i_0_771]) ).
cnf(i_0_879,plain,
vf(vd1185,vd1186) = vf(vd1178,vd1179),
inference(scs_inference,[],[i_0_575,i_0_628]) ).
cnf(i_0_880,plain,
vd1200 = esk2_0,
inference(scs_inference,[],[i_0_575,i_0_622,i_0_625,i_0_628,i_0_629]) ).
cnf(i_0_887,plain,
vf(vd1185,vd1186) = vf(vd1199,vd1200),
inference(scs_inference,[],[i_0_577,i_0_628]) ).
cnf(i_0_893,plain,
vf(vd1185,vd1187) = vf(vd1178,vd1180),
inference(scs_inference,[],[i_0_573,i_0_628]) ).
cnf(i_0_894,plain,
vf(vd1185,vd1187) = vf(vd1199,vd1201),
inference(scs_inference,[],[i_0_573,i_0_572,i_0_628,i_0_629]) ).
cnf(i_0_916,plain,
esk8_0 = vd1200,
inference(scs_inference,[],[i_0_616,i_0_628]) ).
cnf(i_0_933,plain,
esk7_0 = vd1201,
inference(scs_inference,[],[i_0_617,i_0_628]) ).
cnf(i_0_934,plain,
~ ron(esk7_0,vd1232),
inference(scs_inference,[],[i_0_584,i_0_617,i_0_628,i_0_752]) ).
cnf(i_0_960,plain,
esk6_0 = vd1178,
inference(scs_inference,[],[i_0_618,i_0_628]) ).
cnf(i_0_976,plain,
vangle(vd1180,vd1179,vd1178) = vangle(vd1201,vd1200,vd1199),
inference(scs_inference,[],[i_0_507,i_0_628]) ).
cnf(i_0_987,plain,
vangle(vd1178,vd1180,vd1179) = vangle(vd1199,vd1201,vd1200),
inference(scs_inference,[],[i_0_508,i_0_628]) ).
cnf(i_0_998,plain,
vf(vd1200,vd1201) = vf(vd1179,vd1180),
inference(scs_inference,[],[i_0_576,i_0_628]) ).
cnf(i_0_1032,plain,
esk5_0 = vd1179,
inference(scs_inference,[],[i_0_619,i_0_628]) ).
cnf(i_0_1048,plain,
esk4_0 = vd1180,
inference(scs_inference,[],[i_0_620,i_0_628]) ).
cnf(i_0_1056,plain,
esk2_0 = vd1186,
inference(scs_inference,[],[i_0_622,i_0_628]) ).
cnf(i_0_1064,plain,
vangle(vd1200,vd1199,vd1201) = vangle(vd1186,vd1185,vd1201),
inference(scs_inference,[],[i_0_512,i_0_628]) ).
cnf(i_0_1078,plain,
esk9_0 = vd1199,
inference(scs_inference,[],[i_0_615,i_0_628]) ).
cnf(i_0_1086,plain,
esk1_0 = vd1187,
inference(scs_inference,[],[i_0_623,i_0_628]) ).
cnf(i_0_1087,plain,
~ ron(esk1_0,vd1197),
inference(scs_inference,[],[i_0_585,i_0_623,i_0_628,i_0_752]) ).
cnf(i_0_1088,plain,
rpoint(vd1187),
inference(scs_inference,[],[i_0_585,i_0_607,i_0_623,i_0_628,i_0_752,i_0_763]) ).
cnf(i_0_1102,plain,
vd1186 = vd1200,
inference(scs_inference,[],[i_0_625,i_0_628]) ).
cnf(i_0_813,plain,
rreal(vd684),
inference(equality_inference,[],[807]) ).
cnf(i_0_814,plain,
rline(vd1234),
inference(equality_inference,[],[808]) ).
cnf(i_0_815,plain,
rpoint(esk9_0),
inference(equality_inference,[],[809]) ).
cnf(i_0_816,plain,
~ rR(vd1186,vd1199,vd1185),
inference(equality_inference,[],[810]) ).
cnf(i_0_817,plain,
~ rS(vd1186,vd1201,vd1232),
inference(equality_inference,[],[811]) ).
cnf(i_0_818,plain,
~ rS(vd1186,vd1201,vd1232),
inference(equality_inference,[],[812]) ).
cnf(i_0_819,plain,
vangle(vd1200,vd1199,vd1201) = vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)),
inference(scs_inference,[],[i_0_799,i_0_628]) ).
cnf(i_0_820,plain,
vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)) = vangle(vd1186,vd1185,vd1187),
inference(scs_inference,[],[i_0_799,i_0_514,i_0_628,i_0_629]) ).
cnf(i_0_821,plain,
vd1186 != vd1187,
inference(scs_inference,[],[i_0_586,i_0_799,i_0_585,i_0_514,i_0_628,i_0_629,i_0_752]) ).
cnf(i_0_822,plain,
vd1232 != vd1197,
inference(scs_inference,[],[i_0_586,i_0_799,i_0_585,i_0_514,i_0_597,i_0_628,i_0_629,i_0_752,i_0_753]) ).
cnf(i_0_823,plain,
~ rR(vd1200,vd1199,vd1199),
inference(scs_inference,[],[i_0_586,i_0_799,i_0_585,i_0_514,i_0_803,i_0_597,i_0_625,i_0_628,i_0_629,i_0_752,i_0_753,i_0_764]) ).
cnf(i_0_824,plain,
~ rless(vangle(vd1187,vd1185,vd1201),vangle(vd1187,vd1185,vd1201)),
inference(scs_inference,[],[i_0_586,i_0_799,i_0_585,i_0_806,i_0_514,i_0_803,i_0_597,i_0_625,i_0_554,i_0_628,i_0_629,i_0_752,i_0_753,i_0_764,i_0_770]) ).
cnf(i_0_885,plain,
rpoint(esk4_0),
inference(equality_inference,[],[881]) ).
cnf(i_0_888,plain,
vf(vd1199,vd1200) = vf(vd1178,vd1179),
inference(scs_inference,[],[i_0_879,i_0_577,i_0_628,i_0_629]) ).
cnf(i_0_898,plain,
rpoint(esk2_0),
inference(equality_inference,[],[895]) ).
cnf(i_0_899,plain,
vf(vd1199,vd1201) = vf(vd1185,vd1187),
inference(scs_inference,[],[i_0_894,i_0_628]) ).
cnf(i_0_900,plain,
vangle(vd1187,vd1185,vd1201) = vd684,
inference(scs_inference,[],[i_0_894,i_0_624,i_0_554,i_0_628,i_0_629]) ).
cnf(i_0_917,plain,
~ rS(esk8_0,vd1201,vd1232),
inference(scs_inference,[],[i_0_804,i_0_616,i_0_628,i_0_767]) ).
cnf(i_0_935,plain,
~ rS(vd1200,esk7_0,vd1232),
inference(scs_inference,[],[i_0_804,i_0_584,i_0_617,i_0_628,i_0_752,i_0_768]) ).
cnf(i_0_936,plain,
~ rS(esk8_0,esk7_0,vd1232),
inference(scs_inference,[],[i_0_804,i_0_584,i_0_617,i_0_916,i_0_628,i_0_752,i_0_768,i_0_767]) ).
cnf(i_0_937,plain,
rpoint(vd1201),
inference(scs_inference,[],[i_0_804,i_0_584,i_0_617,i_0_916,i_0_601,i_0_628,i_0_752,i_0_768,i_0_767,i_0_763]) ).
cnf(i_0_988,plain,
vd1187 != esk7_0,
inference(scs_inference,[],[i_0_800,i_0_508,i_0_933,i_0_628,i_0_629]) ).
cnf(i_0_1089,plain,
~ rR(vd1186,esk9_0,vd1185),
inference(scs_inference,[],[i_0_530,i_0_585,i_0_607,i_0_1078,i_0_623,i_0_628,i_0_752,i_0_763,i_0_765]) ).
cnf(i_0_1103,plain,
~ rR(vd1200,esk9_0,vd1185),
inference(scs_inference,[],[i_0_802,i_0_1078,i_0_625,i_0_628,i_0_765]) ).
cnf(i_0_1108,plain,
~ rR(vd1186,esk9_0,vd1199),
inference(scs_inference,[],[i_0_803,i_0_1078,i_0_765]) ).
cnf(i_0_831,plain,
rline(vd1197),
inference(equality_inference,[],[825]) ).
cnf(i_0_832,plain,
rpoint(esk8_0),
inference(equality_inference,[],[826]) ).
cnf(i_0_833,plain,
~ rR(vd1200,vd1199,vd1185),
inference(equality_inference,[],[827]) ).
cnf(i_0_834,plain,
~ rR(vd1186,vd1199,vd1199),
inference(equality_inference,[],[828]) ).
cnf(i_0_835,plain,
~ rS(vd1200,vd1201,vd1232),
inference(equality_inference,[],[829]) ).
cnf(i_0_836,plain,
~ rS(vd1200,vd1201,vd1232),
inference(equality_inference,[],[830]) ).
cnf(i_0_837,plain,
vangle(vd1186,vd1185,vd1187) = vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)),
inference(scs_inference,[],[i_0_820,i_0_628]) ).
cnf(i_0_838,plain,
vd1185 != vd1201,
inference(scs_inference,[],[i_0_820,i_0_595,i_0_584,i_0_628,i_0_752]) ).
cnf(i_0_839,plain,
vangle(vd1179,vd1178,vd1180) = vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)),
inference(scs_inference,[],[i_0_819,i_0_820,i_0_511,i_0_595,i_0_584,i_0_628,i_0_752,i_0_629]) ).
cnf(i_0_892,plain,
rpoint(esk3_0),
inference(equality_inference,[],[889]) ).
cnf(i_0_904,plain,
rpoint(esk1_0),
inference(equality_inference,[],[901]) ).
cnf(i_0_905,plain,
vd684 = vangle(vd1187,vd1185,vd1201),
inference(scs_inference,[],[i_0_900,i_0_628]) ).
cnf(i_0_906,plain,
rreal(vangle(vd1187,vd1185,vd1201)),
inference(scs_inference,[],[i_0_598,i_0_900,i_0_628,i_0_761]) ).
cnf(c_0_1110,plain,
vd1200 = esk8_0,
i_0_616 ).
cnf(c_0_1111,plain,
vd1200 = vd1186,
i_0_625 ).
cnf(c_0_1112,plain,
vd1199 = esk9_0,
i_0_615 ).
cnf(c_0_1113,plain,
vd1199 = vd1185,
i_0_626 ).
cnf(c_0_1114,plain,
( rS(X1,X2,X3)
| ~ rS(X2,X1,X3)
| X3 != X4
| ~ rline(X4)
| X1 != X5
| ~ rpoint(X5)
| X2 != X6
| ~ rpoint(X6) ),
i_0_449 ).
cnf(c_0_1115,plain,
rS(vd1200,vd1187,vd1234),
i_0_551 ).
cnf(c_0_1116,plain,
rpoint(esk8_0),
i_0_600 ).
cnf(c_0_1117,plain,
esk8_0 = vd1186,
inference(rw,[status(thm)],[c_0_1110,c_0_1111]) ).
cnf(c_0_1118,plain,
( ron(X1,X2)
| X3 = X1
| X3 = X4
| vangle(X4,X3,X1) != v0
| ~ ron(X4,X2)
| ~ ron(X3,X2)
| X2 != X5
| ~ rline(X5)
| X1 != X6
| ~ rpoint(X6)
| X4 != X7
| ~ rpoint(X7)
| X3 != X8
| ~ rpoint(X8) ),
i_0_442 ).
cnf(c_0_1119,plain,
vd684 = vangle(vd1187,vd1185,vd1201),
i_0_905 ).
cnf(c_0_1120,plain,
v0 = vd684,
i_0_624 ).
cnf(c_0_1121,plain,
rpoint(esk9_0),
i_0_599 ).
cnf(c_0_1122,plain,
esk9_0 = vd1185,
inference(rw,[status(thm)],[c_0_1112,c_0_1113]) ).
cnf(c_0_1123,plain,
( ~ rS(X1,X2,X3)
| X3 != X4
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| ~ ron(X1,X3) ),
i_0_487 ).
cnf(c_0_1124,plain,
( rS(X1,X2,X3)
| ~ rS(X2,X1,X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rline(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_1114])])]) ).
cnf(c_0_1125,plain,
rS(vd1186,vd1187,vd1234),
inference(rw,[status(thm)],[c_0_1115,c_0_1111]) ).
cnf(c_0_1126,plain,
rpoint(vd1186),
inference(rw,[status(thm)],[c_0_1116,c_0_1117]) ).
cnf(c_0_1127,plain,
rpoint(vd1187),
i_0_1088 ).
cnf(c_0_1128,plain,
rline(vd1234),
i_0_609 ).
cnf(c_0_1129,plain,
( X1 = X2
| X3 = X1
| ron(X3,X4)
| vangle(X2,X1,X3) != v0
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rline(X4)
| ~ ron(X2,X4)
| ~ ron(X1,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_1118])])])]) ).
cnf(c_0_1130,plain,
vangle(vd1187,vd1185,vd1201) = v0,
inference(rw,[status(thm)],[c_0_1119,c_0_1120]) ).
cnf(c_0_1131,plain,
rpoint(vd1185),
inference(rw,[status(thm)],[c_0_1121,c_0_1122]) ).
cnf(c_0_1132,plain,
rpoint(vd1201),
i_0_937 ).
cnf(c_0_1133,plain,
vd1185 != vd1201,
i_0_838 ).
cnf(c_0_1134,plain,
( ~ rS(X1,X2,X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rline(X3)
| ~ ron(X1,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_1123])])]) ).
cnf(c_0_1135,plain,
rS(vd1187,vd1186,vd1234),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1124,c_0_1125]),c_0_1126]),c_0_1127]),c_0_1128])]) ).
cnf(c_0_1136,plain,
( vd1187 = vd1185
| ron(vd1201,X1)
| ~ rline(X1)
| ~ ron(vd1187,X1)
| ~ ron(vd1185,X1) ),
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_1129,c_0_1130]),c_0_1131]),c_0_1127]),c_0_1132])]),c_0_1133]) ).
cnf(c_0_1137,plain,
rline(vd1232),
i_0_611 ).
cnf(c_0_1138,plain,
ron(vd1187,vd1232),
i_0_596 ).
cnf(c_0_1139,plain,
ron(vd1185,vd1232),
i_0_595 ).
cnf(c_0_1140,plain,
~ ron(vd1201,vd1232),
i_0_584 ).
cnf(c_0_1141,plain,
~ ron(vd1187,vd1234),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1134,c_0_1135]),c_0_1127]),c_0_1126]),c_0_1128])]) ).
cnf(c_0_1142,plain,
vd1187 = vd1185,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1136,c_0_1137]),c_0_1138]),c_0_1139])]),c_0_1140]) ).
cnf(c_0_1143,plain,
ron(vd1185,vd1234),
i_0_592 ).
cnf(c_0_1144,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1141,c_0_1142]),c_0_1143])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO297+1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.32 % Computer : n010.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Mon May 4 17:51:21 EDT 2026
% 0.16/0.32 % CPUTime :
% 0.16/0.33 % start to proof: theBenchmark
% 45.27/41.73 % Version : CSE_E---1.7
% 45.27/41.73 % Problem : theBenchmark.p
% 45.27/41.73 % SZS status Theorem for theBenchmark.p
% 45.27/41.73 % SZS output start CNFRefutation
% See solution above
% 54.47/50.97 % Total time : 41.355s
%------------------------------------------------------------------------------