%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO292+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:24:51 PM UTC 2026
% Result : Theorem 24.54s 3.52s
% Output : CNFRefutation 24.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 240
% Syntax : Number of formulae : 940 ( 130 unt; 187 def)
% Number of atoms : 6164 ( 974 equ)
% Maximal formula atoms : 33 ( 6 avg)
% Number of connectives : 9464 (4240 ~;4593 |; 411 &)
% ( 189 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 43 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 200 ( 198 usr; 185 prp; 0-3 aty)
% Number of functors : 32 ( 32 usr; 24 con; 0-3 aty)
% Number of variables : 1846 (1727 !; 119 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vangle(vd1186,vd1185,vd1187) = vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1185,vd1187)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
vangle(vd1186,vd1185,vd1187) != vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1185,vd1187)),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
rS(vd1186,vd1201,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
~ ron(vd1201,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
rS(vd1187,vd1201,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
ron(vd1201,vd1234),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
rline(vd1234),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
rS(vd1201,vd1187,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
? [Vd1205] :
( rpoint(Vd1205)
& vd1201 = Vd1205 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
rline(vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( ? [Vd1182] :
( rpoint(Vd1182)
& vd1178 = Vd1182 )
& ? [Vd1183] :
( rpoint(Vd1183)
& vd1179 = Vd1183 )
& ? [Vd1184] :
( rpoint(Vd1184)
& vd1180 = Vd1184 )
& vd1178 != vd1179
& vd1178 != vd1180
& vd1179 != vd1180
& ? [Vd1189] :
( rpoint(Vd1189)
& vd1185 = Vd1189 )
& ? [Vd1190] :
( rpoint(Vd1190)
& vd1186 = Vd1190 )
& ? [Vd1191] :
( rpoint(Vd1191)
& vd1187 = Vd1191 )
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& ~ ? [Vd1195] :
( rline(Vd1195)
& ron(vd1185,Vd1195)
& ron(vd1186,Vd1195)
& ron(vd1187,Vd1195) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [Vd425,Vd426,Vd430,Vd431] :
( ( ? [Vd428] :
( rpoint(Vd428)
& Vd425 = Vd428 )
& ? [Vd429] :
( rpoint(Vd429)
& Vd426 = Vd429 )
& rline(Vd431)
& Vd430 = Vd431
& rS(Vd425,Vd426,Vd430) )
=> rS(Vd426,Vd425,Vd430) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [Vd874,Vd875,Vd876,Vd877,Vd883,Vd884] :
( ( ? [Vd879] :
( rpoint(Vd879)
& Vd874 = Vd879 )
& ? [Vd880] :
( rpoint(Vd880)
& Vd875 = Vd880 )
& ? [Vd881] :
( rpoint(Vd881)
& Vd876 = Vd881 )
& ? [Vd882] :
( rpoint(Vd882)
& Vd877 = Vd882 )
& ? [Vd886] :
( rline(Vd886)
& Vd883 = Vd886 )
& ? [Vd887] :
( rline(Vd887)
& Vd884 = Vd887 )
& ron(Vd874,Vd883)
& ron(Vd874,Vd884)
& ron(Vd875,Vd883)
& ron(Vd876,Vd884)
& Vd874 != Vd875
& Vd874 != Vd876
& ~ ron(Vd877,Vd883)
& ~ ron(Vd877,Vd884)
& Vd883 != Vd884 )
=> ( vangle(Vd875,Vd874,Vd876) = vplus(vangle(Vd875,Vd874,Vd877),vangle(Vd877,Vd874,Vd876))
<=> ( rS(Vd875,Vd877,Vd884)
& rS(Vd876,Vd877,Vd883) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
ron(vd1199,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
vd1200 = vd1186,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
vf(vd1179,vd1180) = vf(vd1200,vd1201),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
? [Vd1204] :
( rpoint(Vd1204)
& vd1200 = Vd1204 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
? [Vd1203] :
( rpoint(Vd1203)
& vd1199 = Vd1203 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
ron(vd1187,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
ron(vd1185,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
rline(vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
vd1199 = vd1185,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
( vd1199 != vd1185
=> ( rR(vd1199,vd1185,vd1186)
| rR(vd1185,vd1199,vd1186) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
( vd1199 != vd1185
=> ~ rR(vd1185,vd1199,vd1186) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
( vd1199 != vd1185
=> ~ rR(vd1199,vd1185,vd1186) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
ron(vd1200,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,axiom,
~ ron(vd1187,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,axiom,
! [Vd741,Vd742] :
( ( ? [Vd744] :
( rpoint(Vd744)
& Vd741 = Vd744 )
& ? [Vd745] :
( rpoint(Vd745)
& Vd742 = Vd745 ) )
=> ? [Vd747] :
( rreal(Vd747)
& vf(Vd741,Vd742) = Vd747 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,axiom,
! [Vd733,Vd734,Vd735,Vd736,Vd737,Vd738] :
( ( rreal(Vd734)
& Vd733 = Vd734
& rreal(Vd736)
& Vd735 = Vd736
& rreal(Vd738)
& Vd737 = Vd738
& vplus(Vd733,Vd737) = vplus(Vd735,Vd737) )
=> Vd733 = Vd735 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,axiom,
! [Vd691,Vd692] :
( ( rreal(Vd692)
& Vd691 = Vd692 )
=> vplus(Vd691,v0) = Vd691 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,axiom,
v0 = vd684,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,axiom,
rreal(vd684),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,axiom,
! [Vd828,Vd829,Vd830] :
( ( ? [Vd832] :
( rpoint(Vd832)
& Vd828 = Vd832 )
& ? [Vd833] :
( rpoint(Vd833)
& Vd829 = Vd833 )
& ? [Vd834] :
( rpoint(Vd834)
& Vd830 = Vd834 )
& rR(Vd829,Vd828,Vd830) )
=> vplus(vf(Vd828,Vd829),vf(Vd829,Vd830)) = vf(Vd828,Vd830) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,axiom,
! [Vd340,Vd341,Vd342] :
( ( ? [Vd344] :
( rpoint(Vd344)
& Vd340 = Vd344 )
& ? [Vd345] :
( rpoint(Vd345)
& Vd341 = Vd345 )
& ? [Vd346] :
( rpoint(Vd346)
& Vd342 = Vd346 )
& rR(Vd341,Vd340,Vd342) )
=> ( rR(Vd341,Vd342,Vd340)
& Vd340 != Vd341
& Vd340 != Vd342
& ~ rR(Vd340,Vd341,Vd342) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f68,axiom,
! [Vd225,Vd226] :
( ( ? [Vd229] :
( rpoint(Vd229)
& Vd225 = Vd229 )
& ? [Vd230] :
( rpoint(Vd230)
& Vd226 = Vd230 )
& Vd225 != Vd226 )
=> ? [Vd231] :
( rcircle(Vd231)
& rcenter(Vd225,Vd231)
& ron(Vd226,Vd231) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f77,axiom,
! [Vd676,Vd677,Vd681,Vd682] :
( ( ? [Vd679] :
( rpoint(Vd679)
& Vd676 = Vd679 )
& ? [Vd680] :
( rpoint(Vd680)
& Vd677 = Vd680 )
& ron(Vd676,Vd681)
& rinside(Vd677,Vd681)
& rinside(Vd676,Vd682)
& ron(Vd677,Vd682) )
=> rintersect(Vd681,Vd682) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f79,axiom,
! [Vd660,Vd661,Vd662,Vd663,Vd664,Vd665] :
( ( rpoint(Vd661)
& Vd660 = Vd661
& rcircle(Vd663)
& Vd662 = Vd663
& rline(Vd665)
& Vd664 = Vd665
& rinside(Vd660,Vd662)
& ron(Vd660,Vd664) )
=> rintersect(Vd664,Vd662) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f80,axiom,
! [Vd647,Vd648,Vd652,Vd653] :
( ( ? [Vd650] :
( rpoint(Vd650)
& Vd647 = Vd650 )
& ? [Vd651] :
( rpoint(Vd651)
& Vd648 = Vd651 )
& ? [Vd655] :
( rcircle(Vd655)
& Vd652 = Vd655 )
& ? [Vd656] :
( rcircle(Vd656)
& Vd653 = Vd656 )
& ( rinside(Vd647,Vd652)
| ron(Vd647,Vd652) )
& ( rinside(Vd648,Vd652)
| ron(Vd648,Vd652) )
& ~ ? [Vd657] : rS(Vd647,Vd648,Vd657) )
=> ? [Vd659] : rintersect(Vd659,Vd652) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f81,axiom,
! [Vd636,Vd637,Vd641,Vd642,Vd644,Vd645] :
( ( ? [Vd639] :
( rpoint(Vd639)
& Vd636 = Vd639 )
& ? [Vd640] :
( rpoint(Vd640)
& Vd637 = Vd640 )
& rline(Vd642)
& ~ rS(Vd636,Vd637,Vd641)
& rline(Vd645)
& ron(Vd636,Vd644)
& ron(Vd637,Vd644)
& Vd644 = Vd645
& Vd641 = Vd642 )
=> rintersect(Vd641,Vd644) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f82,axiom,
! [Vd616,Vd617,Vd622,Vd623,Vd630,Vd631,Vd632,Vd633] :
( ( ? [Vd619] :
( rcircle(Vd619)
& Vd616 = Vd619 )
& ? [Vd620] :
( rcircle(Vd620)
& Vd617 = Vd620 )
& Vd616 != Vd617
& rintersect(Vd616,Vd617)
& ? [Vd625] :
( rpoint(Vd625)
& Vd622 = Vd625 )
& ? [Vd626] :
( rpoint(Vd626)
& Vd623 = Vd626 )
& ron(Vd622,Vd616)
& ron(Vd622,Vd617)
& ron(Vd623,Vd616)
& ron(Vd623,Vd617)
& Vd622 != Vd623
& rcenter(Vd630,Vd616)
& rcenter(Vd631,Vd617)
& rline(Vd633)
& Vd632 = Vd633
& ron(Vd630,Vd632)
& ron(Vd631,Vd632) )
=> ~ rS(Vd622,Vd623,Vd632) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f83,axiom,
! [Vd606,Vd607,Vd608,Vd613,Vd614] :
( ( ? [Vd610] :
( rpoint(Vd610)
& Vd606 = Vd610 )
& ? [Vd611] :
( rpoint(Vd611)
& Vd607 = Vd611 )
& ? [Vd612] :
( rpoint(Vd612)
& Vd608 = Vd612 )
& rcircle(Vd614)
& Vd613 = Vd614
& ( rinside(Vd606,Vd613)
| ron(Vd606,Vd613) )
& ~ rinside(Vd608,Vd613)
& rR(Vd608,Vd606,Vd607) )
=> ( ~ ron(Vd607,Vd613)
& ~ ron(Vd607,Vd613) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f84,axiom,
! [Vd594,Vd595,Vd596,Vd601,Vd602,Vd603,Vd604] :
( ( ? [Vd598] :
( rpoint(Vd598)
& Vd594 = Vd598 )
& ? [Vd599] :
( rpoint(Vd599)
& Vd595 = Vd599 )
& ? [Vd600] :
( rpoint(Vd600)
& Vd596 = Vd600 )
& rline(Vd602)
& Vd601 = Vd602
& rcircle(Vd604)
& Vd603 = Vd604
& ( rinside(Vd594,Vd603)
| ron(Vd594,Vd603) )
& ( rinside(Vd595,Vd603)
| ron(Vd595,Vd603) )
& rR(Vd596,Vd594,Vd595) )
=> rinside(Vd596,Vd603) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f86,axiom,
! [Vd558,Vd559,Vd560,Vd565,Vd566,Vd567,Vd568,Vd577] :
( ( ? [Vd562] :
( rline(Vd562)
& Vd558 = Vd562 )
& ? [Vd563] :
( rline(Vd563)
& Vd559 = Vd563 )
& ? [Vd564] :
( rline(Vd564)
& Vd560 = Vd564 )
& ? [Vd570] :
( rpoint(Vd570)
& Vd565 = Vd570 )
& ? [Vd571] :
( rpoint(Vd571)
& Vd566 = Vd571 )
& ? [Vd572] :
( rpoint(Vd572)
& Vd567 = Vd572 )
& ? [Vd573] :
( rpoint(Vd573)
& Vd568 = Vd573 )
& ron(Vd565,Vd558)
& ron(Vd565,Vd559)
& ron(Vd565,Vd560)
& ron(Vd566,Vd558)
& ron(Vd567,Vd559)
& ron(Vd568,Vd560)
& rS(Vd567,Vd568,Vd558)
& rS(Vd566,Vd567,Vd560)
& rS(Vd568,Vd577,Vd559)
& rS(Vd567,Vd577,Vd560) )
=> rS(Vd567,Vd577,Vd558) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f87,axiom,
! [Vd537,Vd538,Vd539,Vd544,Vd545,Vd546,Vd547] :
( ( ? [Vd541] :
( rline(Vd541)
& Vd537 = Vd541 )
& ? [Vd542] :
( rline(Vd542)
& Vd538 = Vd542 )
& ? [Vd543] :
( rline(Vd543)
& Vd539 = Vd543 )
& ? [Vd549] :
( rpoint(Vd549)
& Vd544 = Vd549 )
& ? [Vd550] :
( rpoint(Vd550)
& Vd545 = Vd550 )
& ? [Vd551] :
( rpoint(Vd551)
& Vd546 = Vd551 )
& ? [Vd552] :
( rpoint(Vd552)
& Vd547 = Vd552 )
& ron(Vd544,Vd537)
& ron(Vd544,Vd538)
& ron(Vd544,Vd539)
& ron(Vd545,Vd537)
& ron(Vd546,Vd538)
& ron(Vd547,Vd539)
& rS(Vd546,Vd547,Vd537)
& ~ rS(Vd545,Vd547,Vd538)
& ~ ron(Vd547,Vd538)
& Vd545 != Vd544 )
=> rS(Vd545,Vd546,Vd539) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f88,axiom,
! [Vd516,Vd517,Vd518,Vd523,Vd524,Vd525,Vd526] :
( ( ? [Vd520] :
( rline(Vd520)
& Vd516 = Vd520 )
& ? [Vd521] :
( rline(Vd521)
& Vd517 = Vd521 )
& ? [Vd522] :
( rline(Vd522)
& Vd518 = Vd522 )
& ? [Vd528] :
( rpoint(Vd528)
& Vd523 = Vd528 )
& ? [Vd529] :
( rpoint(Vd529)
& Vd524 = Vd529 )
& ? [Vd530] :
( rpoint(Vd530)
& Vd525 = Vd530 )
& ? [Vd531] :
( rpoint(Vd531)
& Vd526 = Vd531 )
& ron(Vd523,Vd516)
& ron(Vd523,Vd517)
& ron(Vd523,Vd518)
& ron(Vd524,Vd516)
& ron(Vd525,Vd518)
& ron(Vd526,Vd518)
& rS(Vd525,Vd526,Vd516)
& rS(Vd524,Vd525,Vd518) )
=> ~ rS(Vd524,Vd526,Vd517) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f89,axiom,
! [Vd500,Vd501,Vd502,Vd507,Vd508] :
( ( ? [Vd504] :
( rpoint(Vd504)
& Vd500 = Vd504 )
& ? [Vd505] :
( rpoint(Vd505)
& Vd501 = Vd505 )
& ? [Vd506] :
( rpoint(Vd506)
& Vd502 = Vd506 )
& Vd500 != Vd501
& Vd500 != Vd502
& Vd501 != Vd502
& ? [Vd510] :
( rline(Vd510)
& Vd507 = Vd510 )
& ? [Vd511] :
( rline(Vd511)
& Vd508 = Vd511 )
& Vd507 != Vd508
& ron(Vd500,Vd508)
& ron(Vd502,Vd508)
& ~ rS(Vd500,Vd502,Vd507)
& ron(Vd501,Vd508)
& ron(Vd501,Vd507) )
=> rR(Vd501,Vd500,Vd502) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f90,axiom,
! [Vd489,Vd490,Vd491,Vd496,Vd497] :
( ( ? [Vd493] :
( rpoint(Vd493)
& Vd489 = Vd493 )
& ? [Vd494] :
( rpoint(Vd494)
& Vd490 = Vd494 )
& ? [Vd495] :
( rpoint(Vd495)
& Vd491 = Vd495 )
& rline(Vd497)
& Vd496 = Vd497
& rR(Vd490,Vd489,Vd491)
& ron(Vd490,Vd496) )
=> ~ rS(Vd489,Vd491,Vd496) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f92,axiom,
! [Vd466,Vd467,Vd468,Vd473,Vd474] :
( ( ? [Vd470] :
( rpoint(Vd470)
& Vd466 = Vd470 )
& ? [Vd471] :
( rpoint(Vd471)
& Vd467 = Vd471 )
& ? [Vd472] :
( rpoint(Vd472)
& Vd468 = Vd472 )
& rline(Vd474)
& Vd473 = Vd474
& rR(Vd467,Vd466,Vd468)
& rS(Vd466,Vd468,Vd473) )
=> rS(Vd466,Vd467,Vd473) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f93,axiom,
! [Vd454,Vd455,Vd456,Vd461,Vd462] :
( ( ? [Vd458] :
( rpoint(Vd458)
& Vd454 = Vd458 )
& ? [Vd459] :
( rpoint(Vd459)
& Vd455 = Vd459 )
& ? [Vd460] :
( rpoint(Vd460)
& Vd456 = Vd460 )
& rline(Vd462)
& Vd461 = Vd462
& ~ ron(Vd454,Vd461)
& ~ ron(Vd455,Vd461)
& ~ ron(Vd456,Vd461)
& ~ rS(Vd454,Vd455,Vd461) )
=> ( rS(Vd455,Vd456,Vd461)
| rS(Vd454,Vd456,Vd461) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f94,axiom,
! [Vd442,Vd443,Vd444,Vd449,Vd450] :
( ( ? [Vd446] :
( rpoint(Vd446)
& Vd442 = Vd446 )
& ? [Vd447] :
( rpoint(Vd447)
& Vd443 = Vd447 )
& ? [Vd448] :
( rpoint(Vd448)
& Vd444 = Vd448 )
& rline(Vd450)
& Vd449 = Vd450
& rS(Vd442,Vd443,Vd449)
& rS(Vd442,Vd444,Vd449) )
=> rS(Vd443,Vd444,Vd449) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f95,axiom,
! [Vd434,Vd435,Vd439,Vd440] :
( ( ? [Vd437] :
( rpoint(Vd437)
& Vd434 = Vd437 )
& ? [Vd438] :
( rpoint(Vd438)
& Vd435 = Vd438 )
& rline(Vd440)
& Vd439 = Vd440
& rS(Vd434,Vd435,Vd439) )
=> ~ ron(Vd434,Vd439) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f104,axiom,
! [Vd314,Vd315,Vd319,Vd320] :
( ( ? [Vd317] :
( rpoint(Vd317)
& Vd314 = Vd317 )
& ? [Vd318] :
( rpoint(Vd318)
& Vd315 = Vd318 )
& Vd314 != Vd315
& ? [Vd323] :
( rline(Vd323)
& Vd319 = Vd323 )
& ? [Vd324] :
( rline(Vd324)
& Vd320 = Vd324 )
& ron(Vd314,Vd319)
& ron(Vd314,Vd320)
& ron(Vd315,Vd319)
& ron(Vd315,Vd320) )
=> Vd319 = Vd320 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f130,axiom,
! [Vd52,Vd53] :
( ( rline(Vd53)
& Vd52 = Vd53 )
=> ? [Vd54] :
( rpoint(Vd54)
& ron(Vd54,Vd52) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f147,axiom,
! [Vd933,Vd934,Vd935,Vd936,Vd937,Vd944,Vd945,Vd946] :
( ( ? [Vd939] :
( rpoint(Vd939)
& Vd933 = Vd939 )
& ? [Vd940] :
( rpoint(Vd940)
& Vd934 = Vd940 )
& ? [Vd941] :
( rpoint(Vd941)
& Vd935 = Vd941 )
& ? [Vd942] :
( rpoint(Vd942)
& Vd936 = Vd942 )
& ? [Vd943] :
( rpoint(Vd943)
& Vd937 = Vd943 )
& ? [Vd948] :
( rline(Vd948)
& Vd944 = Vd948 )
& ? [Vd949] :
( rline(Vd949)
& Vd945 = Vd949 )
& ? [Vd950] :
( rline(Vd950)
& Vd946 = Vd950 )
& ron(Vd933,Vd944)
& ron(Vd934,Vd944)
& ron(Vd934,Vd945)
& ron(Vd935,Vd945)
& ron(Vd935,Vd946)
& ron(Vd936,Vd946)
& Vd934 != Vd935
& rS(Vd933,Vd936,Vd945)
& rless(vplus(vangle(Vd933,Vd934,Vd935),vangle(Vd934,Vd935,Vd936)),vplus(vperp,vperp)) )
=> ( rintersect(Vd944,Vd945)
& ( ( ron(Vd937,Vd944)
& ron(Vd937,Vd945) )
=> rS(Vd937,Vd933,Vd945) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f151,plain,
vangle(vd1186,vd1185,vd1187) != vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1185,vd1187)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f152,plain,
rS(vd1186,vd1201,vd1232),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f153,plain,
~ ron(vd1201,vd1232),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f154,plain,
rS(vd1187,vd1201,vd1197),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f155,plain,
ron(vd1201,vd1234),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f157,plain,
rline(vd1234),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f158,plain,
rS(vd1201,vd1187,vd1197),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f159,plain,
( rpoint(sK0_skl)
& vd1201 = sK0_skl ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Vd1205,sK0_skl)],[f10]) ).
fof(f160,plain,
vd1201 = sK0_skl,
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f161,plain,
rpoint(sK0_skl),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f162,plain,
rline(vd1197),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f163,plain,
( ? [Vd1182] :
( rpoint(Vd1182)
& vd1178 = Vd1182 )
& ? [Vd1183] :
( rpoint(Vd1183)
& vd1179 = Vd1183 )
& ? [Vd1184] :
( rpoint(Vd1184)
& vd1180 = Vd1184 )
& vd1178 != vd1179
& vd1178 != vd1180
& vd1179 != vd1180
& ? [Vd1189] :
( rpoint(Vd1189)
& vd1185 = Vd1189 )
& ? [Vd1190] :
( rpoint(Vd1190)
& vd1186 = Vd1190 )
& ? [Vd1191] :
( rpoint(Vd1191)
& vd1187 = Vd1191 )
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& ! [Vd1195] :
( ~ rline(Vd1195)
| ~ ron(vd1185,Vd1195)
| ~ ron(vd1186,Vd1195)
| ~ ron(vd1187,Vd1195) ) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f164,plain,
( rpoint(sK6_skl)
& vd1178 = sK6_skl
& rpoint(sK5_skl)
& vd1179 = sK5_skl
& rpoint(sK4_skl)
& vd1180 = sK4_skl
& vd1178 != vd1179
& vd1178 != vd1180
& vd1179 != vd1180
& rpoint(sK3_skl)
& vd1185 = sK3_skl
& rpoint(sK2_skl)
& vd1186 = sK2_skl
& rpoint(sK1_skl)
& vd1187 = sK1_skl
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& ! [Vd1195] :
( ~ rline(Vd1195)
| ~ ron(vd1185,Vd1195)
| ~ ron(vd1186,Vd1195)
| ~ ron(vd1187,Vd1195) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl]),skolemize(Vd1191,sK1_skl),skolemize(Vd1190,sK2_skl),skolemize(Vd1189,sK3_skl),skolemize(Vd1184,sK4_skl),skolemize(Vd1183,sK5_skl),skolemize(Vd1182,sK6_skl)],[f163]) ).
fof(f169,plain,
vd1187 = sK1_skl,
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f170,plain,
rpoint(sK1_skl),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f171,plain,
vd1186 = sK2_skl,
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f172,plain,
rpoint(sK2_skl),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f173,plain,
vd1185 = sK3_skl,
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f174,plain,
rpoint(sK3_skl),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f175,plain,
vd1179 != vd1180,
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f176,plain,
vd1178 != vd1180,
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f177,plain,
vd1178 != vd1179,
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f178,plain,
vd1180 = sK4_skl,
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f179,plain,
rpoint(sK4_skl),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f180,plain,
vd1179 = sK5_skl,
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f181,plain,
rpoint(sK5_skl),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f182,plain,
vd1178 = sK6_skl,
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f183,plain,
rpoint(sK6_skl),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f184,plain,
! [Vd425,Vd426,Vd430,Vd431] :
( rS(Vd426,Vd425,Vd430)
| ! [Vd428] :
( ~ rpoint(Vd428)
| Vd425 != Vd428 )
| ! [Vd429] :
( ~ rpoint(Vd429)
| Vd426 != Vd429 )
| ~ rline(Vd431)
| Vd430 != Vd431
| ~ rS(Vd425,Vd426,Vd430) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f185,plain,
! [Vd425,Vd426,Vd430] :
( rS(Vd426,Vd425,Vd430)
| ! [Vd428] :
( ~ rpoint(Vd428)
| Vd425 != Vd428 )
| ! [Vd429] :
( ~ rpoint(Vd429)
| Vd426 != Vd429 )
| ! [Vd431] :
( ~ rline(Vd431)
| Vd430 != Vd431
| ~ rS(Vd425,Vd426,Vd430) ) ),
inference(miniscoping,[status(thm)],[f184]) ).
fof(f186,plain,
! [X0,X1,X2,X3,X4,X5] :
( rS(X1,X0,X2)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X4)
| X1 != X4
| ~ rline(X3)
| X2 != X3
| ~ rS(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f187,plain,
! [Vd874,Vd875,Vd876,Vd877,Vd883,Vd884] :
( ( vangle(Vd875,Vd874,Vd876) = vplus(vangle(Vd875,Vd874,Vd877),vangle(Vd877,Vd874,Vd876))
<=> ( rS(Vd875,Vd877,Vd884)
& rS(Vd876,Vd877,Vd883) ) )
| ! [Vd879] :
( ~ rpoint(Vd879)
| Vd874 != Vd879 )
| ! [Vd880] :
( ~ rpoint(Vd880)
| Vd875 != Vd880 )
| ! [Vd881] :
( ~ rpoint(Vd881)
| Vd876 != Vd881 )
| ! [Vd882] :
( ~ rpoint(Vd882)
| Vd877 != Vd882 )
| ! [Vd886] :
( ~ rline(Vd886)
| Vd883 != Vd886 )
| ! [Vd887] :
( ~ rline(Vd887)
| Vd884 != Vd887 )
| ~ ron(Vd874,Vd883)
| ~ ron(Vd874,Vd884)
| ~ ron(Vd875,Vd883)
| ~ ron(Vd876,Vd884)
| Vd874 = Vd875
| Vd874 = Vd876
| ron(Vd877,Vd883)
| ron(Vd877,Vd884)
| Vd883 = Vd884 ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f188,plain,
! [Vd874,Vd875,Vd876,Vd877,Vd883,Vd884] :
( ( ( ~ rS(Vd875,Vd877,Vd884)
| ~ rS(Vd876,Vd877,Vd883)
| vangle(Vd875,Vd874,Vd876) = vplus(vangle(Vd875,Vd874,Vd877),vangle(Vd877,Vd874,Vd876)) )
& ( ( rS(Vd875,Vd877,Vd884)
& rS(Vd876,Vd877,Vd883) )
| vangle(Vd875,Vd874,Vd876) != vplus(vangle(Vd875,Vd874,Vd877),vangle(Vd877,Vd874,Vd876)) ) )
| ! [Vd879] :
( ~ rpoint(Vd879)
| Vd874 != Vd879 )
| ! [Vd880] :
( ~ rpoint(Vd880)
| Vd875 != Vd880 )
| ! [Vd881] :
( ~ rpoint(Vd881)
| Vd876 != Vd881 )
| ! [Vd882] :
( ~ rpoint(Vd882)
| Vd877 != Vd882 )
| ! [Vd886] :
( ~ rline(Vd886)
| Vd883 != Vd886 )
| ! [Vd887] :
( ~ rline(Vd887)
| Vd884 != Vd887 )
| ~ ron(Vd874,Vd883)
| ~ ron(Vd874,Vd884)
| ~ ron(Vd875,Vd883)
| ~ ron(Vd876,Vd884)
| Vd874 = Vd875
| Vd874 = Vd876
| ron(Vd877,Vd883)
| ron(Vd877,Vd884)
| Vd883 = Vd884 ),
inference(NNF_transformation,[status(thm)],[f187]) ).
fof(f190,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( rS(X5,X2,X1)
| vangle(X5,X3,X4) != vplus(vangle(X5,X3,X2),vangle(X2,X3,X4))
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X10)
| X5 != X10
| ~ rpoint(X9)
| X4 != X9
| ~ rpoint(X8)
| X2 != X8
| ~ rline(X7)
| X0 != X7
| ~ rline(X6)
| X1 != X6
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X5,X0)
| ~ ron(X4,X1)
| X3 = X5
| X3 = X4
| ron(X2,X0)
| ron(X2,X1)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f191,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ rS(X5,X2,X1)
| ~ rS(X4,X2,X0)
| vangle(X5,X3,X4) = vplus(vangle(X5,X3,X2),vangle(X2,X3,X4))
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X10)
| X5 != X10
| ~ rpoint(X9)
| X4 != X9
| ~ rpoint(X8)
| X2 != X8
| ~ rline(X7)
| X0 != X7
| ~ rline(X6)
| X1 != X6
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X5,X0)
| ~ ron(X4,X1)
| X3 = X5
| X3 = X4
| ron(X2,X0)
| ron(X2,X1)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f193,plain,
ron(vd1199,vd1197),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f194,plain,
vd1200 = vd1186,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f196,plain,
vf(vd1179,vd1180) = vf(vd1200,vd1201),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f201,plain,
( rpoint(sK7_skl)
& vd1200 = sK7_skl ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(Vd1204,sK7_skl)],[f24]) ).
fof(f202,plain,
vd1200 = sK7_skl,
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f203,plain,
rpoint(sK7_skl),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f204,plain,
( rpoint(sK8_skl)
& vd1199 = sK8_skl ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(Vd1203,sK8_skl)],[f25]) ).
fof(f205,plain,
vd1199 = sK8_skl,
inference(cnf_transformation,[status(thm)],[f204]) ).
fof(f206,plain,
rpoint(sK8_skl),
inference(cnf_transformation,[status(thm)],[f204]) ).
fof(f209,plain,
ron(vd1187,vd1232),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f210,plain,
ron(vd1185,vd1232),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f211,plain,
rline(vd1232),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f229,plain,
vd1199 = vd1185,
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f230,plain,
( rR(vd1199,vd1185,vd1186)
| rR(vd1185,vd1199,vd1186)
| vd1199 = vd1185 ),
inference(pre_NNF_transformation,[status(thm)],[f39]) ).
fof(f231,plain,
( rR(vd1199,vd1185,vd1186)
| rR(vd1185,vd1199,vd1186)
| vd1199 = vd1185 ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f232,plain,
( ~ rR(vd1185,vd1199,vd1186)
| vd1199 = vd1185 ),
inference(pre_NNF_transformation,[status(thm)],[f40]) ).
fof(f233,plain,
( ~ rR(vd1185,vd1199,vd1186)
| vd1199 = vd1185 ),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f234,plain,
( ~ rR(vd1199,vd1185,vd1186)
| vd1199 = vd1185 ),
inference(pre_NNF_transformation,[status(thm)],[f41]) ).
fof(f235,plain,
( ~ rR(vd1199,vd1185,vd1186)
| vd1199 = vd1185 ),
inference(cnf_transformation,[status(thm)],[f234]) ).
fof(f238,plain,
ron(vd1200,vd1197),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f242,plain,
~ ron(vd1187,vd1197),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f258,plain,
! [Vd741,Vd742] :
( ? [Vd747] :
( rreal(Vd747)
& vf(Vd741,Vd742) = Vd747 )
| ! [Vd744] :
( ~ rpoint(Vd744)
| Vd741 != Vd744 )
| ! [Vd745] :
( ~ rpoint(Vd745)
| Vd742 != Vd745 ) ),
inference(pre_NNF_transformation,[status(thm)],[f51]) ).
fof(f259,plain,
! [Vd741,Vd742] :
( ( rreal(sK10_skl(Vd742,Vd741))
& vf(Vd741,Vd742) = sK10_skl(Vd742,Vd741) )
| ! [Vd744] :
( ~ rpoint(Vd744)
| Vd741 != Vd744 )
| ! [Vd745] :
( ~ rpoint(Vd745)
| Vd742 != Vd745 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(Vd747,sK10_skl(Vd742,Vd741))],[f258]) ).
fof(f260,plain,
! [X0,X1,X2,X3] :
( vf(X2,X0) = sK10_skl(X0,X2)
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f261,plain,
! [X0,X1,X2,X3] :
( rreal(sK10_skl(X0,X2))
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f273,plain,
! [Vd733,Vd734,Vd735,Vd736,Vd737,Vd738] :
( Vd733 = Vd735
| ~ rreal(Vd734)
| Vd733 != Vd734
| ~ rreal(Vd736)
| Vd735 != Vd736
| ~ rreal(Vd738)
| Vd737 != Vd738
| vplus(Vd733,Vd737) != vplus(Vd735,Vd737) ),
inference(pre_NNF_transformation,[status(thm)],[f56]) ).
fof(f274,plain,
! [Vd733,Vd735] :
( Vd733 = Vd735
| ! [Vd734] :
( ~ rreal(Vd734)
| Vd733 != Vd734
| ! [Vd736] :
( ~ rreal(Vd736)
| Vd735 != Vd736
| ! [Vd738] :
( ~ rreal(Vd738)
| ! [Vd737] :
( Vd737 != Vd738
| vplus(Vd733,Vd737) != vplus(Vd735,Vd737) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f273]) ).
fof(f275,plain,
! [X0,X1,X2,X3,X4,X5] :
( X0 = X2
| ~ rreal(X5)
| X0 != X5
| ~ rreal(X4)
| X2 != X4
| ~ rreal(X3)
| X1 != X3
| vplus(X0,X1) != vplus(X2,X1) ),
inference(cnf_transformation,[status(thm)],[f274]) ).
fof(f279,plain,
! [Vd691,Vd692] :
( vplus(Vd691,v0) = Vd691
| ~ rreal(Vd692)
| Vd691 != Vd692 ),
inference(pre_NNF_transformation,[status(thm)],[f58]) ).
fof(f280,plain,
! [Vd691] :
( vplus(Vd691,v0) = Vd691
| ! [Vd692] :
( ~ rreal(Vd692)
| Vd691 != Vd692 ) ),
inference(miniscoping,[status(thm)],[f279]) ).
fof(f281,plain,
! [X0,X1] :
( vplus(X0,v0) = X0
| ~ rreal(X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f280]) ).
fof(f282,plain,
v0 = vd684,
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f283,plain,
rreal(vd684),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f298,plain,
! [Vd828,Vd829,Vd830] :
( vplus(vf(Vd828,Vd829),vf(Vd829,Vd830)) = vf(Vd828,Vd830)
| ! [Vd832] :
( ~ rpoint(Vd832)
| Vd828 != Vd832 )
| ! [Vd833] :
( ~ rpoint(Vd833)
| Vd829 != Vd833 )
| ! [Vd834] :
( ~ rpoint(Vd834)
| Vd830 != Vd834 )
| ~ rR(Vd829,Vd828,Vd830) ),
inference(pre_NNF_transformation,[status(thm)],[f65]) ).
fof(f299,plain,
! [X0,X1,X2,X3,X4,X5] :
( vplus(vf(X1,X0),vf(X0,X2)) = vf(X1,X2)
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X3)
| X2 != X3
| ~ rR(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f298]) ).
fof(f303,plain,
! [Vd340,Vd341,Vd342] :
( ( rR(Vd341,Vd342,Vd340)
& Vd340 != Vd341
& Vd340 != Vd342
& ~ rR(Vd340,Vd341,Vd342) )
| ! [Vd344] :
( ~ rpoint(Vd344)
| Vd340 != Vd344 )
| ! [Vd345] :
( ~ rpoint(Vd345)
| Vd341 != Vd345 )
| ! [Vd346] :
( ~ rpoint(Vd346)
| Vd342 != Vd346 )
| ~ rR(Vd341,Vd340,Vd342) ),
inference(pre_NNF_transformation,[status(thm)],[f67]) ).
fof(f304,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ rR(X1,X0,X2)
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X3)
| X2 != X3
| ~ rR(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f303]) ).
fof(f307,plain,
! [X0,X1,X2,X3,X4,X5] :
( rR(X0,X2,X1)
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X3)
| X2 != X3
| ~ rR(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f303]) ).
fof(f308,plain,
! [Vd225,Vd226] :
( ? [Vd231] :
( rcircle(Vd231)
& rcenter(Vd225,Vd231)
& ron(Vd226,Vd231) )
| ! [Vd229] :
( ~ rpoint(Vd229)
| Vd225 != Vd229 )
| ! [Vd230] :
( ~ rpoint(Vd230)
| Vd226 != Vd230 )
| Vd225 = Vd226 ),
inference(pre_NNF_transformation,[status(thm)],[f68]) ).
fof(f309,plain,
! [Vd225,Vd226] :
( ( rcircle(sK12_skl(Vd226,Vd225))
& rcenter(Vd225,sK12_skl(Vd226,Vd225))
& ron(Vd226,sK12_skl(Vd226,Vd225)) )
| ! [Vd229] :
( ~ rpoint(Vd229)
| Vd225 != Vd229 )
| ! [Vd230] :
( ~ rpoint(Vd230)
| Vd226 != Vd230 )
| Vd225 = Vd226 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl]),skolemize(Vd231,sK12_skl(Vd226,Vd225))],[f308]) ).
fof(f312,plain,
! [X0,X1,X2,X3] :
( rcircle(sK12_skl(X1,X0))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| X1 != X2
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f309]) ).
fof(f340,plain,
! [Vd676,Vd677,Vd681,Vd682] :
( rintersect(Vd681,Vd682)
| ! [Vd679] :
( ~ rpoint(Vd679)
| Vd676 != Vd679 )
| ! [Vd680] :
( ~ rpoint(Vd680)
| Vd677 != Vd680 )
| ~ ron(Vd676,Vd681)
| ~ rinside(Vd677,Vd681)
| ~ rinside(Vd676,Vd682)
| ~ ron(Vd677,Vd682) ),
inference(pre_NNF_transformation,[status(thm)],[f77]) ).
fof(f341,plain,
! [Vd681,Vd682] :
( rintersect(Vd681,Vd682)
| ! [Vd676] :
( ! [Vd679] :
( ~ rpoint(Vd679)
| Vd676 != Vd679 )
| ! [Vd677] :
( ! [Vd680] :
( ~ rpoint(Vd680)
| Vd677 != Vd680 )
| ~ ron(Vd676,Vd681)
| ~ rinside(Vd677,Vd681)
| ~ rinside(Vd676,Vd682)
| ~ ron(Vd677,Vd682) ) ) ),
inference(miniscoping,[status(thm)],[f340]) ).
fof(f342,plain,
! [X0,X1,X2,X3,X4,X5] :
( rintersect(X3,X1)
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X4)
| X0 != X4
| ~ ron(X2,X3)
| ~ rinside(X0,X3)
| ~ rinside(X2,X1)
| ~ ron(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f341]) ).
fof(f347,plain,
! [Vd660,Vd661,Vd662,Vd663,Vd664,Vd665] :
( rintersect(Vd664,Vd662)
| ~ rpoint(Vd661)
| Vd660 != Vd661
| ~ rcircle(Vd663)
| Vd662 != Vd663
| ~ rline(Vd665)
| Vd664 != Vd665
| ~ rinside(Vd660,Vd662)
| ~ ron(Vd660,Vd664) ),
inference(pre_NNF_transformation,[status(thm)],[f79]) ).
fof(f348,plain,
! [Vd662,Vd664] :
( rintersect(Vd664,Vd662)
| ! [Vd661] :
( ~ rpoint(Vd661)
| ! [Vd660] :
( Vd660 != Vd661
| ! [Vd663] :
( ~ rcircle(Vd663)
| Vd662 != Vd663
| ! [Vd665] :
( ~ rline(Vd665)
| Vd664 != Vd665
| ~ rinside(Vd660,Vd662)
| ~ ron(Vd660,Vd664) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f347]) ).
fof(f349,plain,
! [X0,X1,X2,X3,X4,X5] :
( rintersect(X1,X2)
| ~ rpoint(X5)
| X0 != X5
| ~ rcircle(X4)
| X2 != X4
| ~ rline(X3)
| X1 != X3
| ~ rinside(X0,X2)
| ~ ron(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f348]) ).
fof(f350,plain,
! [Vd647,Vd648,Vd652,Vd653] :
( ? [Vd659] : rintersect(Vd659,Vd652)
| ! [Vd650] :
( ~ rpoint(Vd650)
| Vd647 != Vd650 )
| ! [Vd651] :
( ~ rpoint(Vd651)
| Vd648 != Vd651 )
| ! [Vd655] :
( ~ rcircle(Vd655)
| Vd652 != Vd655 )
| ! [Vd656] :
( ~ rcircle(Vd656)
| Vd653 != Vd656 )
| ( ~ rinside(Vd647,Vd652)
& ~ ron(Vd647,Vd652) )
| ( ~ rinside(Vd648,Vd652)
& ~ ron(Vd648,Vd652) )
| ? [Vd657] : rS(Vd647,Vd648,Vd657) ),
inference(pre_NNF_transformation,[status(thm)],[f80]) ).
fof(f351,definition,
! [Vd648,Vd652] :
( sP0_prd(Vd652,Vd648)
<=> ( ~ rinside(Vd648,Vd652)
& ~ ron(Vd648,Vd652) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f352,plain,
! [Vd647,Vd648,Vd652,Vd653] :
( ? [Vd659] : rintersect(Vd659,Vd652)
| ! [Vd650] :
( ~ rpoint(Vd650)
| Vd647 != Vd650 )
| ! [Vd651] :
( ~ rpoint(Vd651)
| Vd648 != Vd651 )
| ! [Vd655] :
( ~ rcircle(Vd655)
| Vd652 != Vd655 )
| ! [Vd656] :
( ~ rcircle(Vd656)
| Vd653 != Vd656 )
| ( ~ rinside(Vd647,Vd652)
& ~ ron(Vd647,Vd652) )
| sP0_prd(Vd652,Vd648)
| ? [Vd657] : rS(Vd647,Vd648,Vd657) ),
inference(formula_renaming,[status(thm)],[f350,f351]) ).
fof(f353,plain,
! [Vd652] :
( ? [Vd659] : rintersect(Vd659,Vd652)
| ! [Vd647] :
( ! [Vd650] :
( ~ rpoint(Vd650)
| Vd647 != Vd650 )
| ! [Vd648] :
( ! [Vd651] :
( ~ rpoint(Vd651)
| Vd648 != Vd651 )
| ! [Vd655] :
( ~ rcircle(Vd655)
| Vd652 != Vd655 )
| ! [Vd656] :
( ~ rcircle(Vd656)
| ! [Vd653] : Vd653 != Vd656 )
| ( ~ rinside(Vd647,Vd652)
& ~ ron(Vd647,Vd652) )
| sP0_prd(Vd652,Vd648)
| ? [Vd657] : rS(Vd647,Vd648,Vd657) ) ) ),
inference(miniscoping,[status(thm)],[f352]) ).
fof(f354,plain,
! [Vd652] :
( rintersect(sK17_skl(Vd652),Vd652)
| ! [Vd647] :
( ! [Vd650] :
( ~ rpoint(Vd650)
| Vd647 != Vd650 )
| ! [Vd648] :
( ! [Vd651] :
( ~ rpoint(Vd651)
| Vd648 != Vd651 )
| ! [Vd655] :
( ~ rcircle(Vd655)
| Vd652 != Vd655 )
| ! [Vd656] :
( ~ rcircle(Vd656)
| ! [Vd653] : Vd653 != Vd656 )
| ( ~ rinside(Vd647,Vd652)
& ~ ron(Vd647,Vd652) )
| sP0_prd(Vd652,Vd648)
| rS(Vd647,Vd648,sK16_skl(Vd648,Vd647,Vd652)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16_skl,sK17_skl]),skolemize(Vd657,sK16_skl(Vd648,Vd647,Vd652)),skolemize(Vd659,sK17_skl(Vd652))],[f353]) ).
fof(f355,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rintersect(sK17_skl(X2),X2)
| ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| X1 != X6
| ~ rcircle(X5)
| X2 != X5
| ~ rcircle(X4)
| X3 != X4
| ~ ron(X0,X2)
| sP0_prd(X2,X1)
| rS(X0,X1,sK16_skl(X1,X0,X2)) ),
inference(cnf_transformation,[status(thm)],[f354]) ).
fof(f356,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rintersect(sK17_skl(X2),X2)
| ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| X1 != X6
| ~ rcircle(X5)
| X2 != X5
| ~ rcircle(X4)
| X3 != X4
| ~ rinside(X0,X2)
| sP0_prd(X2,X1)
| rS(X0,X1,sK16_skl(X1,X0,X2)) ),
inference(cnf_transformation,[status(thm)],[f354]) ).
fof(f357,plain,
! [Vd636,Vd637,Vd641,Vd642,Vd644,Vd645] :
( rintersect(Vd641,Vd644)
| ! [Vd639] :
( ~ rpoint(Vd639)
| Vd636 != Vd639 )
| ! [Vd640] :
( ~ rpoint(Vd640)
| Vd637 != Vd640 )
| ~ rline(Vd642)
| rS(Vd636,Vd637,Vd641)
| ~ rline(Vd645)
| ~ ron(Vd636,Vd644)
| ~ ron(Vd637,Vd644)
| Vd644 != Vd645
| Vd641 != Vd642 ),
inference(pre_NNF_transformation,[status(thm)],[f81]) ).
fof(f358,plain,
! [Vd641,Vd644] :
( rintersect(Vd641,Vd644)
| ! [Vd636] :
( ! [Vd639] :
( ~ rpoint(Vd639)
| Vd636 != Vd639 )
| ! [Vd637] :
( ! [Vd640] :
( ~ rpoint(Vd640)
| Vd637 != Vd640 )
| ! [Vd642] :
( ~ rline(Vd642)
| rS(Vd636,Vd637,Vd641)
| ! [Vd645] :
( ~ rline(Vd645)
| ~ ron(Vd636,Vd644)
| ~ ron(Vd637,Vd644)
| Vd644 != Vd645
| Vd641 != Vd642 ) ) ) ) ),
inference(miniscoping,[status(thm)],[f357]) ).
fof(f359,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rintersect(X0,X2)
| ~ rpoint(X7)
| X5 != X7
| ~ rpoint(X6)
| X4 != X6
| ~ rline(X1)
| rS(X5,X4,X0)
| ~ rline(X3)
| ~ ron(X5,X2)
| ~ ron(X4,X2)
| X2 != X3
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f358]) ).
fof(f360,plain,
! [Vd616,Vd617,Vd622,Vd623,Vd630,Vd631,Vd632,Vd633] :
( ~ rS(Vd622,Vd623,Vd632)
| ! [Vd619] :
( ~ rcircle(Vd619)
| Vd616 != Vd619 )
| ! [Vd620] :
( ~ rcircle(Vd620)
| Vd617 != Vd620 )
| Vd616 = Vd617
| ~ rintersect(Vd616,Vd617)
| ! [Vd625] :
( ~ rpoint(Vd625)
| Vd622 != Vd625 )
| ! [Vd626] :
( ~ rpoint(Vd626)
| Vd623 != Vd626 )
| ~ ron(Vd622,Vd616)
| ~ ron(Vd622,Vd617)
| ~ ron(Vd623,Vd616)
| ~ ron(Vd623,Vd617)
| Vd622 = Vd623
| ~ rcenter(Vd630,Vd616)
| ~ rcenter(Vd631,Vd617)
| ~ rline(Vd633)
| Vd632 != Vd633
| ~ ron(Vd630,Vd632)
| ~ ron(Vd631,Vd632) ),
inference(pre_NNF_transformation,[status(thm)],[f82]) ).
fof(f361,plain,
! [Vd622,Vd623,Vd632] :
( ~ rS(Vd622,Vd623,Vd632)
| ! [Vd616] :
( ! [Vd619] :
( ~ rcircle(Vd619)
| Vd616 != Vd619 )
| ! [Vd617] :
( ! [Vd620] :
( ~ rcircle(Vd620)
| Vd617 != Vd620 )
| Vd616 = Vd617
| ~ rintersect(Vd616,Vd617)
| ! [Vd625] :
( ~ rpoint(Vd625)
| Vd622 != Vd625 )
| ! [Vd626] :
( ~ rpoint(Vd626)
| Vd623 != Vd626 )
| ~ ron(Vd622,Vd616)
| ~ ron(Vd622,Vd617)
| ~ ron(Vd623,Vd616)
| ~ ron(Vd623,Vd617)
| Vd622 = Vd623
| ! [Vd630] :
( ~ rcenter(Vd630,Vd616)
| ! [Vd631] :
( ~ rcenter(Vd631,Vd617)
| ! [Vd633] :
( ~ rline(Vd633)
| Vd632 != Vd633
| ~ ron(Vd630,Vd632)
| ~ ron(Vd631,Vd632) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f360]) ).
fof(f362,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ rS(X6,X7,X1)
| ~ rcircle(X11)
| X5 != X11
| ~ rcircle(X10)
| X4 != X10
| X5 = X4
| ~ rintersect(X5,X4)
| ~ rpoint(X9)
| X6 != X9
| ~ rpoint(X8)
| X7 != X8
| ~ ron(X6,X5)
| ~ ron(X6,X4)
| ~ ron(X7,X5)
| ~ ron(X7,X4)
| X6 = X7
| ~ rcenter(X2,X5)
| ~ rcenter(X0,X4)
| ~ rline(X3)
| X1 != X3
| ~ ron(X2,X1)
| ~ ron(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f361]) ).
fof(f363,plain,
! [Vd606,Vd607,Vd608,Vd613,Vd614] :
( ( ~ ron(Vd607,Vd613)
& ~ ron(Vd607,Vd613) )
| ! [Vd610] :
( ~ rpoint(Vd610)
| Vd606 != Vd610 )
| ! [Vd611] :
( ~ rpoint(Vd611)
| Vd607 != Vd611 )
| ! [Vd612] :
( ~ rpoint(Vd612)
| Vd608 != Vd612 )
| ~ rcircle(Vd614)
| Vd613 != Vd614
| ( ~ rinside(Vd606,Vd613)
& ~ ron(Vd606,Vd613) )
| rinside(Vd608,Vd613)
| ~ rR(Vd608,Vd606,Vd607) ),
inference(pre_NNF_transformation,[status(thm)],[f83]) ).
fof(f364,definition,
! [Vd606,Vd613] :
( sP1_prd(Vd613,Vd606)
<=> ( ~ rinside(Vd606,Vd613)
& ~ ron(Vd606,Vd613) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f369,plain,
! [Vd594,Vd595,Vd596,Vd601,Vd602,Vd603,Vd604] :
( rinside(Vd596,Vd603)
| ! [Vd598] :
( ~ rpoint(Vd598)
| Vd594 != Vd598 )
| ! [Vd599] :
( ~ rpoint(Vd599)
| Vd595 != Vd599 )
| ! [Vd600] :
( ~ rpoint(Vd600)
| Vd596 != Vd600 )
| ~ rline(Vd602)
| Vd601 != Vd602
| ~ rcircle(Vd604)
| Vd603 != Vd604
| ( ~ rinside(Vd594,Vd603)
& ~ ron(Vd594,Vd603) )
| ( ~ rinside(Vd595,Vd603)
& ~ ron(Vd595,Vd603) )
| ~ rR(Vd596,Vd594,Vd595) ),
inference(pre_NNF_transformation,[status(thm)],[f84]) ).
fof(f370,definition,
! [Vd595,Vd603] :
( sP2_prd(Vd603,Vd595)
<=> ( ~ rinside(Vd595,Vd603)
& ~ ron(Vd595,Vd603) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f371,plain,
! [Vd594,Vd595,Vd596,Vd601,Vd602,Vd603,Vd604] :
( rinside(Vd596,Vd603)
| ! [Vd598] :
( ~ rpoint(Vd598)
| Vd594 != Vd598 )
| ! [Vd599] :
( ~ rpoint(Vd599)
| Vd595 != Vd599 )
| ! [Vd600] :
( ~ rpoint(Vd600)
| Vd596 != Vd600 )
| ~ rline(Vd602)
| Vd601 != Vd602
| ~ rcircle(Vd604)
| Vd603 != Vd604
| ( ~ rinside(Vd594,Vd603)
& ~ ron(Vd594,Vd603) )
| sP2_prd(Vd603,Vd595)
| ~ rR(Vd596,Vd594,Vd595) ),
inference(formula_renaming,[status(thm)],[f369,f370]) ).
fof(f372,plain,
! [Vd596,Vd603] :
( rinside(Vd596,Vd603)
| ! [Vd594] :
( ! [Vd598] :
( ~ rpoint(Vd598)
| Vd594 != Vd598 )
| ! [Vd595] :
( ! [Vd599] :
( ~ rpoint(Vd599)
| Vd595 != Vd599 )
| ! [Vd600] :
( ~ rpoint(Vd600)
| Vd596 != Vd600 )
| ! [Vd602] :
( ~ rline(Vd602)
| ! [Vd601] : Vd601 != Vd602
| ! [Vd604] :
( ~ rcircle(Vd604)
| Vd603 != Vd604
| ( ~ rinside(Vd594,Vd603)
& ~ ron(Vd594,Vd603) )
| sP2_prd(Vd603,Vd595)
| ~ rR(Vd596,Vd594,Vd595) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f371]) ).
fof(f373,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( rinside(X0,X3)
| ~ rpoint(X9)
| X1 != X9
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X7)
| X0 != X7
| ~ rline(X6)
| X5 != X6
| ~ rcircle(X4)
| X3 != X4
| ~ ron(X1,X3)
| sP2_prd(X3,X2)
| ~ rR(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f372]) ).
fof(f374,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( rinside(X0,X3)
| ~ rpoint(X9)
| X1 != X9
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X7)
| X0 != X7
| ~ rline(X6)
| X5 != X6
| ~ rcircle(X4)
| X3 != X4
| ~ rinside(X1,X3)
| sP2_prd(X3,X2)
| ~ rR(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f372]) ).
fof(f378,plain,
! [Vd558,Vd559,Vd560,Vd565,Vd566,Vd567,Vd568,Vd577] :
( rS(Vd567,Vd577,Vd558)
| ! [Vd562] :
( ~ rline(Vd562)
| Vd558 != Vd562 )
| ! [Vd563] :
( ~ rline(Vd563)
| Vd559 != Vd563 )
| ! [Vd564] :
( ~ rline(Vd564)
| Vd560 != Vd564 )
| ! [Vd570] :
( ~ rpoint(Vd570)
| Vd565 != Vd570 )
| ! [Vd571] :
( ~ rpoint(Vd571)
| Vd566 != Vd571 )
| ! [Vd572] :
( ~ rpoint(Vd572)
| Vd567 != Vd572 )
| ! [Vd573] :
( ~ rpoint(Vd573)
| Vd568 != Vd573 )
| ~ ron(Vd565,Vd558)
| ~ ron(Vd565,Vd559)
| ~ ron(Vd565,Vd560)
| ~ ron(Vd566,Vd558)
| ~ ron(Vd567,Vd559)
| ~ ron(Vd568,Vd560)
| ~ rS(Vd567,Vd568,Vd558)
| ~ rS(Vd566,Vd567,Vd560)
| ~ rS(Vd568,Vd577,Vd559)
| ~ rS(Vd567,Vd577,Vd560) ),
inference(pre_NNF_transformation,[status(thm)],[f86]) ).
fof(f379,plain,
! [Vd558,Vd567,Vd577] :
( rS(Vd567,Vd577,Vd558)
| ! [Vd562] :
( ~ rline(Vd562)
| Vd558 != Vd562 )
| ! [Vd559] :
( ! [Vd563] :
( ~ rline(Vd563)
| Vd559 != Vd563 )
| ! [Vd560] :
( ! [Vd564] :
( ~ rline(Vd564)
| Vd560 != Vd564 )
| ! [Vd565] :
( ! [Vd570] :
( ~ rpoint(Vd570)
| Vd565 != Vd570 )
| ! [Vd566] :
( ! [Vd571] :
( ~ rpoint(Vd571)
| Vd566 != Vd571 )
| ! [Vd572] :
( ~ rpoint(Vd572)
| Vd567 != Vd572 )
| ! [Vd568] :
( ! [Vd573] :
( ~ rpoint(Vd573)
| Vd568 != Vd573 )
| ~ ron(Vd565,Vd558)
| ~ ron(Vd565,Vd559)
| ~ ron(Vd565,Vd560)
| ~ ron(Vd566,Vd558)
| ~ ron(Vd567,Vd559)
| ~ ron(Vd568,Vd560)
| ~ rS(Vd567,Vd568,Vd558)
| ~ rS(Vd566,Vd567,Vd560)
| ~ rS(Vd568,Vd577,Vd559)
| ~ rS(Vd567,Vd577,Vd560) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f378]) ).
fof(f380,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
( rS(X0,X1,X6)
| ~ rline(X14)
| X6 != X14
| ~ rline(X13)
| X4 != X13
| ~ rline(X12)
| X2 != X12
| ~ rpoint(X11)
| X7 != X11
| ~ rpoint(X10)
| X5 != X10
| ~ rpoint(X9)
| X0 != X9
| ~ rpoint(X8)
| X3 != X8
| ~ ron(X7,X6)
| ~ ron(X7,X4)
| ~ ron(X7,X2)
| ~ ron(X5,X6)
| ~ ron(X0,X4)
| ~ ron(X3,X2)
| ~ rS(X0,X3,X6)
| ~ rS(X5,X0,X2)
| ~ rS(X3,X1,X4)
| ~ rS(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f379]) ).
fof(f381,plain,
! [Vd537,Vd538,Vd539,Vd544,Vd545,Vd546,Vd547] :
( rS(Vd545,Vd546,Vd539)
| ! [Vd541] :
( ~ rline(Vd541)
| Vd537 != Vd541 )
| ! [Vd542] :
( ~ rline(Vd542)
| Vd538 != Vd542 )
| ! [Vd543] :
( ~ rline(Vd543)
| Vd539 != Vd543 )
| ! [Vd549] :
( ~ rpoint(Vd549)
| Vd544 != Vd549 )
| ! [Vd550] :
( ~ rpoint(Vd550)
| Vd545 != Vd550 )
| ! [Vd551] :
( ~ rpoint(Vd551)
| Vd546 != Vd551 )
| ! [Vd552] :
( ~ rpoint(Vd552)
| Vd547 != Vd552 )
| ~ ron(Vd544,Vd537)
| ~ ron(Vd544,Vd538)
| ~ ron(Vd544,Vd539)
| ~ ron(Vd545,Vd537)
| ~ ron(Vd546,Vd538)
| ~ ron(Vd547,Vd539)
| ~ rS(Vd546,Vd547,Vd537)
| rS(Vd545,Vd547,Vd538)
| ron(Vd547,Vd538)
| Vd545 = Vd544 ),
inference(pre_NNF_transformation,[status(thm)],[f87]) ).
fof(f382,plain,
! [Vd539,Vd545,Vd546] :
( rS(Vd545,Vd546,Vd539)
| ! [Vd537] :
( ! [Vd541] :
( ~ rline(Vd541)
| Vd537 != Vd541 )
| ! [Vd538] :
( ! [Vd542] :
( ~ rline(Vd542)
| Vd538 != Vd542 )
| ! [Vd543] :
( ~ rline(Vd543)
| Vd539 != Vd543 )
| ! [Vd544] :
( ! [Vd549] :
( ~ rpoint(Vd549)
| Vd544 != Vd549 )
| ! [Vd550] :
( ~ rpoint(Vd550)
| Vd545 != Vd550 )
| ! [Vd551] :
( ~ rpoint(Vd551)
| Vd546 != Vd551 )
| ! [Vd547] :
( ! [Vd552] :
( ~ rpoint(Vd552)
| Vd547 != Vd552 )
| ~ ron(Vd544,Vd537)
| ~ ron(Vd544,Vd538)
| ~ ron(Vd544,Vd539)
| ~ ron(Vd545,Vd537)
| ~ ron(Vd546,Vd538)
| ~ ron(Vd547,Vd539)
| ~ rS(Vd546,Vd547,Vd537)
| rS(Vd545,Vd547,Vd538)
| ron(Vd547,Vd538)
| Vd545 = Vd544 ) ) ) ) ),
inference(miniscoping,[status(thm)],[f381]) ).
fof(f383,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
( rS(X0,X4,X6)
| ~ rline(X13)
| X5 != X13
| ~ rline(X12)
| X3 != X12
| ~ rline(X11)
| X6 != X11
| ~ rpoint(X10)
| X1 != X10
| ~ rpoint(X9)
| X0 != X9
| ~ rpoint(X8)
| X4 != X8
| ~ rpoint(X7)
| X2 != X7
| ~ ron(X1,X5)
| ~ ron(X1,X3)
| ~ ron(X1,X6)
| ~ ron(X0,X5)
| ~ ron(X4,X3)
| ~ ron(X2,X6)
| ~ rS(X4,X2,X5)
| rS(X0,X2,X3)
| ron(X2,X3)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f382]) ).
fof(f384,plain,
! [Vd516,Vd517,Vd518,Vd523,Vd524,Vd525,Vd526] :
( ~ rS(Vd524,Vd526,Vd517)
| ! [Vd520] :
( ~ rline(Vd520)
| Vd516 != Vd520 )
| ! [Vd521] :
( ~ rline(Vd521)
| Vd517 != Vd521 )
| ! [Vd522] :
( ~ rline(Vd522)
| Vd518 != Vd522 )
| ! [Vd528] :
( ~ rpoint(Vd528)
| Vd523 != Vd528 )
| ! [Vd529] :
( ~ rpoint(Vd529)
| Vd524 != Vd529 )
| ! [Vd530] :
( ~ rpoint(Vd530)
| Vd525 != Vd530 )
| ! [Vd531] :
( ~ rpoint(Vd531)
| Vd526 != Vd531 )
| ~ ron(Vd523,Vd516)
| ~ ron(Vd523,Vd517)
| ~ ron(Vd523,Vd518)
| ~ ron(Vd524,Vd516)
| ~ ron(Vd525,Vd518)
| ~ ron(Vd526,Vd518)
| ~ rS(Vd525,Vd526,Vd516)
| ~ rS(Vd524,Vd525,Vd518) ),
inference(pre_NNF_transformation,[status(thm)],[f88]) ).
fof(f385,plain,
! [Vd517,Vd524,Vd526] :
( ~ rS(Vd524,Vd526,Vd517)
| ! [Vd516] :
( ! [Vd520] :
( ~ rline(Vd520)
| Vd516 != Vd520 )
| ! [Vd521] :
( ~ rline(Vd521)
| Vd517 != Vd521 )
| ! [Vd518] :
( ! [Vd522] :
( ~ rline(Vd522)
| Vd518 != Vd522 )
| ! [Vd523] :
( ! [Vd528] :
( ~ rpoint(Vd528)
| Vd523 != Vd528 )
| ! [Vd529] :
( ~ rpoint(Vd529)
| Vd524 != Vd529 )
| ! [Vd525] :
( ! [Vd530] :
( ~ rpoint(Vd530)
| Vd525 != Vd530 )
| ! [Vd531] :
( ~ rpoint(Vd531)
| Vd526 != Vd531 )
| ~ ron(Vd523,Vd516)
| ~ ron(Vd523,Vd517)
| ~ ron(Vd523,Vd518)
| ~ ron(Vd524,Vd516)
| ~ ron(Vd525,Vd518)
| ~ ron(Vd526,Vd518)
| ~ rS(Vd525,Vd526,Vd516)
| ~ rS(Vd524,Vd525,Vd518) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f384]) ).
fof(f386,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
( ~ rS(X0,X3,X6)
| ~ rline(X13)
| X4 != X13
| ~ rline(X12)
| X6 != X12
| ~ rline(X11)
| X2 != X11
| ~ rpoint(X10)
| X5 != X10
| ~ rpoint(X9)
| X0 != X9
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X7)
| X3 != X7
| ~ ron(X5,X4)
| ~ ron(X5,X6)
| ~ ron(X5,X2)
| ~ ron(X0,X4)
| ~ ron(X1,X2)
| ~ ron(X3,X2)
| ~ rS(X1,X3,X4)
| ~ rS(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f385]) ).
fof(f387,plain,
! [Vd500,Vd501,Vd502,Vd507,Vd508] :
( rR(Vd501,Vd500,Vd502)
| ! [Vd504] :
( ~ rpoint(Vd504)
| Vd500 != Vd504 )
| ! [Vd505] :
( ~ rpoint(Vd505)
| Vd501 != Vd505 )
| ! [Vd506] :
( ~ rpoint(Vd506)
| Vd502 != Vd506 )
| Vd500 = Vd501
| Vd500 = Vd502
| Vd501 = Vd502
| ! [Vd510] :
( ~ rline(Vd510)
| Vd507 != Vd510 )
| ! [Vd511] :
( ~ rline(Vd511)
| Vd508 != Vd511 )
| Vd507 = Vd508
| ~ ron(Vd500,Vd508)
| ~ ron(Vd502,Vd508)
| rS(Vd500,Vd502,Vd507)
| ~ ron(Vd501,Vd508)
| ~ ron(Vd501,Vd507) ),
inference(pre_NNF_transformation,[status(thm)],[f89]) ).
fof(f388,plain,
! [Vd500,Vd501,Vd502] :
( rR(Vd501,Vd500,Vd502)
| ! [Vd504] :
( ~ rpoint(Vd504)
| Vd500 != Vd504 )
| ! [Vd505] :
( ~ rpoint(Vd505)
| Vd501 != Vd505 )
| ! [Vd506] :
( ~ rpoint(Vd506)
| Vd502 != Vd506 )
| Vd500 = Vd501
| Vd500 = Vd502
| Vd501 = Vd502
| ! [Vd507] :
( ! [Vd510] :
( ~ rline(Vd510)
| Vd507 != Vd510 )
| ! [Vd508] :
( ! [Vd511] :
( ~ rline(Vd511)
| Vd508 != Vd511 )
| Vd507 = Vd508
| ~ ron(Vd500,Vd508)
| ~ ron(Vd502,Vd508)
| rS(Vd500,Vd502,Vd507)
| ~ ron(Vd501,Vd508)
| ~ ron(Vd501,Vd507) ) ) ),
inference(miniscoping,[status(thm)],[f387]) ).
fof(f389,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( rR(X0,X3,X4)
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X8)
| X0 != X8
| ~ rpoint(X7)
| X4 != X7
| X3 = X0
| X3 = X4
| X0 = X4
| ~ rline(X6)
| X1 != X6
| ~ rline(X5)
| X2 != X5
| X1 = X2
| ~ ron(X3,X2)
| ~ ron(X4,X2)
| rS(X3,X4,X1)
| ~ ron(X0,X2)
| ~ ron(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f388]) ).
fof(f390,plain,
! [Vd489,Vd490,Vd491,Vd496,Vd497] :
( ~ rS(Vd489,Vd491,Vd496)
| ! [Vd493] :
( ~ rpoint(Vd493)
| Vd489 != Vd493 )
| ! [Vd494] :
( ~ rpoint(Vd494)
| Vd490 != Vd494 )
| ! [Vd495] :
( ~ rpoint(Vd495)
| Vd491 != Vd495 )
| ~ rline(Vd497)
| Vd496 != Vd497
| ~ rR(Vd490,Vd489,Vd491)
| ~ ron(Vd490,Vd496) ),
inference(pre_NNF_transformation,[status(thm)],[f90]) ).
fof(f391,plain,
! [Vd489,Vd491,Vd496] :
( ~ rS(Vd489,Vd491,Vd496)
| ! [Vd493] :
( ~ rpoint(Vd493)
| Vd489 != Vd493 )
| ! [Vd490] :
( ! [Vd494] :
( ~ rpoint(Vd494)
| Vd490 != Vd494 )
| ! [Vd495] :
( ~ rpoint(Vd495)
| Vd491 != Vd495 )
| ! [Vd497] :
( ~ rline(Vd497)
| Vd496 != Vd497
| ~ rR(Vd490,Vd489,Vd491)
| ~ ron(Vd490,Vd496) ) ) ),
inference(miniscoping,[status(thm)],[f390]) ).
fof(f392,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ rS(X2,X3,X1)
| ~ rpoint(X7)
| X2 != X7
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X5)
| X3 != X5
| ~ rline(X4)
| X1 != X4
| ~ rR(X0,X2,X3)
| ~ ron(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f391]) ).
fof(f396,plain,
! [Vd466,Vd467,Vd468,Vd473,Vd474] :
( rS(Vd466,Vd467,Vd473)
| ! [Vd470] :
( ~ rpoint(Vd470)
| Vd466 != Vd470 )
| ! [Vd471] :
( ~ rpoint(Vd471)
| Vd467 != Vd471 )
| ! [Vd472] :
( ~ rpoint(Vd472)
| Vd468 != Vd472 )
| ~ rline(Vd474)
| Vd473 != Vd474
| ~ rR(Vd467,Vd466,Vd468)
| ~ rS(Vd466,Vd468,Vd473) ),
inference(pre_NNF_transformation,[status(thm)],[f92]) ).
fof(f397,plain,
! [Vd466,Vd467,Vd473] :
( rS(Vd466,Vd467,Vd473)
| ! [Vd470] :
( ~ rpoint(Vd470)
| Vd466 != Vd470 )
| ! [Vd471] :
( ~ rpoint(Vd471)
| Vd467 != Vd471 )
| ! [Vd468] :
( ! [Vd472] :
( ~ rpoint(Vd472)
| Vd468 != Vd472 )
| ! [Vd474] :
( ~ rline(Vd474)
| Vd473 != Vd474
| ~ rR(Vd467,Vd466,Vd468)
| ~ rS(Vd466,Vd468,Vd473) ) ) ),
inference(miniscoping,[status(thm)],[f396]) ).
fof(f398,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rS(X0,X3,X2)
| ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| X3 != X6
| ~ rpoint(X5)
| X1 != X5
| ~ rline(X4)
| X2 != X4
| ~ rR(X3,X0,X1)
| ~ rS(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f397]) ).
fof(f399,plain,
! [Vd454,Vd455,Vd456,Vd461,Vd462] :
( rS(Vd455,Vd456,Vd461)
| rS(Vd454,Vd456,Vd461)
| ! [Vd458] :
( ~ rpoint(Vd458)
| Vd454 != Vd458 )
| ! [Vd459] :
( ~ rpoint(Vd459)
| Vd455 != Vd459 )
| ! [Vd460] :
( ~ rpoint(Vd460)
| Vd456 != Vd460 )
| ~ rline(Vd462)
| Vd461 != Vd462
| ron(Vd454,Vd461)
| ron(Vd455,Vd461)
| ron(Vd456,Vd461)
| rS(Vd454,Vd455,Vd461) ),
inference(pre_NNF_transformation,[status(thm)],[f93]) ).
fof(f400,plain,
! [Vd454,Vd455,Vd456,Vd461] :
( rS(Vd455,Vd456,Vd461)
| rS(Vd454,Vd456,Vd461)
| ! [Vd458] :
( ~ rpoint(Vd458)
| Vd454 != Vd458 )
| ! [Vd459] :
( ~ rpoint(Vd459)
| Vd455 != Vd459 )
| ! [Vd460] :
( ~ rpoint(Vd460)
| Vd456 != Vd460 )
| ! [Vd462] :
( ~ rline(Vd462)
| Vd461 != Vd462
| ron(Vd454,Vd461)
| ron(Vd455,Vd461)
| ron(Vd456,Vd461)
| rS(Vd454,Vd455,Vd461) ) ),
inference(miniscoping,[status(thm)],[f399]) ).
fof(f401,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rS(X1,X3,X2)
| rS(X0,X3,X2)
| ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X5)
| X3 != X5
| ~ rline(X4)
| X2 != X4
| ron(X0,X2)
| ron(X1,X2)
| ron(X3,X2)
| rS(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f400]) ).
fof(f402,plain,
! [Vd442,Vd443,Vd444,Vd449,Vd450] :
( rS(Vd443,Vd444,Vd449)
| ! [Vd446] :
( ~ rpoint(Vd446)
| Vd442 != Vd446 )
| ! [Vd447] :
( ~ rpoint(Vd447)
| Vd443 != Vd447 )
| ! [Vd448] :
( ~ rpoint(Vd448)
| Vd444 != Vd448 )
| ~ rline(Vd450)
| Vd449 != Vd450
| ~ rS(Vd442,Vd443,Vd449)
| ~ rS(Vd442,Vd444,Vd449) ),
inference(pre_NNF_transformation,[status(thm)],[f94]) ).
fof(f403,plain,
! [Vd443,Vd444,Vd449] :
( rS(Vd443,Vd444,Vd449)
| ! [Vd442] :
( ! [Vd446] :
( ~ rpoint(Vd446)
| Vd442 != Vd446 )
| ! [Vd447] :
( ~ rpoint(Vd447)
| Vd443 != Vd447 )
| ! [Vd448] :
( ~ rpoint(Vd448)
| Vd444 != Vd448 )
| ! [Vd450] :
( ~ rline(Vd450)
| Vd449 != Vd450
| ~ rS(Vd442,Vd443,Vd449)
| ~ rS(Vd442,Vd444,Vd449) ) ) ),
inference(miniscoping,[status(thm)],[f402]) ).
fof(f404,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rS(X3,X1,X2)
| ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| X3 != X6
| ~ rpoint(X5)
| X1 != X5
| ~ rline(X4)
| X2 != X4
| ~ rS(X0,X3,X2)
| ~ rS(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f403]) ).
fof(f405,plain,
! [Vd434,Vd435,Vd439,Vd440] :
( ~ ron(Vd434,Vd439)
| ! [Vd437] :
( ~ rpoint(Vd437)
| Vd434 != Vd437 )
| ! [Vd438] :
( ~ rpoint(Vd438)
| Vd435 != Vd438 )
| ~ rline(Vd440)
| Vd439 != Vd440
| ~ rS(Vd434,Vd435,Vd439) ),
inference(pre_NNF_transformation,[status(thm)],[f95]) ).
fof(f406,plain,
! [Vd434,Vd439] :
( ~ ron(Vd434,Vd439)
| ! [Vd437] :
( ~ rpoint(Vd437)
| Vd434 != Vd437 )
| ! [Vd435] :
( ! [Vd438] :
( ~ rpoint(Vd438)
| Vd435 != Vd438 )
| ! [Vd440] :
( ~ rline(Vd440)
| Vd439 != Vd440
| ~ rS(Vd434,Vd435,Vd439) ) ) ),
inference(miniscoping,[status(thm)],[f405]) ).
fof(f407,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ ron(X0,X2)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X4)
| X1 != X4
| ~ rline(X3)
| X2 != X3
| ~ rS(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f406]) ).
fof(f431,plain,
! [Vd314,Vd315,Vd319,Vd320] :
( Vd319 = Vd320
| ! [Vd317] :
( ~ rpoint(Vd317)
| Vd314 != Vd317 )
| ! [Vd318] :
( ~ rpoint(Vd318)
| Vd315 != Vd318 )
| Vd314 = Vd315
| ! [Vd323] :
( ~ rline(Vd323)
| Vd319 != Vd323 )
| ! [Vd324] :
( ~ rline(Vd324)
| Vd320 != Vd324 )
| ~ ron(Vd314,Vd319)
| ~ ron(Vd314,Vd320)
| ~ ron(Vd315,Vd319)
| ~ ron(Vd315,Vd320) ),
inference(pre_NNF_transformation,[status(thm)],[f104]) ).
fof(f432,plain,
! [Vd319,Vd320] :
( Vd319 = Vd320
| ! [Vd314] :
( ! [Vd317] :
( ~ rpoint(Vd317)
| Vd314 != Vd317 )
| ! [Vd315] :
( ! [Vd318] :
( ~ rpoint(Vd318)
| Vd315 != Vd318 )
| Vd314 = Vd315
| ! [Vd323] :
( ~ rline(Vd323)
| Vd319 != Vd323 )
| ! [Vd324] :
( ~ rline(Vd324)
| Vd320 != Vd324 )
| ~ ron(Vd314,Vd319)
| ~ ron(Vd314,Vd320)
| ~ ron(Vd315,Vd319)
| ~ ron(Vd315,Vd320) ) ) ),
inference(miniscoping,[status(thm)],[f431]) ).
fof(f433,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( X2 = X1
| ~ rpoint(X7)
| X3 != X7
| ~ rpoint(X6)
| X0 != X6
| X3 = X0
| ~ rline(X5)
| X2 != X5
| ~ rline(X4)
| X1 != X4
| ~ ron(X3,X2)
| ~ ron(X3,X1)
| ~ ron(X0,X2)
| ~ ron(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f432]) ).
fof(f597,plain,
! [Vd52,Vd53] :
( ? [Vd54] :
( rpoint(Vd54)
& ron(Vd54,Vd52) )
| ~ rline(Vd53)
| Vd52 != Vd53 ),
inference(pre_NNF_transformation,[status(thm)],[f130]) ).
fof(f598,plain,
! [Vd52] :
( ? [Vd54] :
( rpoint(Vd54)
& ron(Vd54,Vd52) )
| ! [Vd53] :
( ~ rline(Vd53)
| Vd52 != Vd53 ) ),
inference(miniscoping,[status(thm)],[f597]) ).
fof(f599,plain,
! [Vd52] :
( ( rpoint(sK45_skl(Vd52))
& ron(sK45_skl(Vd52),Vd52) )
| ! [Vd53] :
( ~ rline(Vd53)
| Vd52 != Vd53 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK45_skl]),skolemize(Vd54,sK45_skl(Vd52))],[f598]) ).
fof(f601,plain,
! [X0,X1] :
( rpoint(sK45_skl(X0))
| ~ rline(X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f677,plain,
! [Vd933,Vd934,Vd935,Vd936,Vd937,Vd944,Vd945,Vd946] :
( ( rintersect(Vd944,Vd945)
& ( rS(Vd937,Vd933,Vd945)
| ~ ron(Vd937,Vd944)
| ~ ron(Vd937,Vd945) ) )
| ! [Vd939] :
( ~ rpoint(Vd939)
| Vd933 != Vd939 )
| ! [Vd940] :
( ~ rpoint(Vd940)
| Vd934 != Vd940 )
| ! [Vd941] :
( ~ rpoint(Vd941)
| Vd935 != Vd941 )
| ! [Vd942] :
( ~ rpoint(Vd942)
| Vd936 != Vd942 )
| ! [Vd943] :
( ~ rpoint(Vd943)
| Vd937 != Vd943 )
| ! [Vd948] :
( ~ rline(Vd948)
| Vd944 != Vd948 )
| ! [Vd949] :
( ~ rline(Vd949)
| Vd945 != Vd949 )
| ! [Vd950] :
( ~ rline(Vd950)
| Vd946 != Vd950 )
| ~ ron(Vd933,Vd944)
| ~ ron(Vd934,Vd944)
| ~ ron(Vd934,Vd945)
| ~ ron(Vd935,Vd945)
| ~ ron(Vd935,Vd946)
| ~ ron(Vd936,Vd946)
| Vd934 = Vd935
| ~ rS(Vd933,Vd936,Vd945)
| ~ rless(vplus(vangle(Vd933,Vd934,Vd935),vangle(Vd934,Vd935,Vd936)),vplus(vperp,vperp)) ),
inference(pre_NNF_transformation,[status(thm)],[f147]) ).
fof(f678,plain,
! [Vd933,Vd937,Vd944,Vd945] :
( ( rintersect(Vd944,Vd945)
& ( rS(Vd937,Vd933,Vd945)
| ~ ron(Vd937,Vd944)
| ~ ron(Vd937,Vd945) ) )
| ! [Vd939] :
( ~ rpoint(Vd939)
| Vd933 != Vd939 )
| ! [Vd934] :
( ! [Vd940] :
( ~ rpoint(Vd940)
| Vd934 != Vd940 )
| ! [Vd935] :
( ! [Vd941] :
( ~ rpoint(Vd941)
| Vd935 != Vd941 )
| ! [Vd936] :
( ! [Vd942] :
( ~ rpoint(Vd942)
| Vd936 != Vd942 )
| ! [Vd943] :
( ~ rpoint(Vd943)
| Vd937 != Vd943 )
| ! [Vd948] :
( ~ rline(Vd948)
| Vd944 != Vd948 )
| ! [Vd949] :
( ~ rline(Vd949)
| Vd945 != Vd949 )
| ! [Vd946] :
( ! [Vd950] :
( ~ rline(Vd950)
| Vd946 != Vd950 )
| ~ ron(Vd933,Vd944)
| ~ ron(Vd934,Vd944)
| ~ ron(Vd934,Vd945)
| ~ ron(Vd935,Vd945)
| ~ ron(Vd935,Vd946)
| ~ ron(Vd936,Vd946)
| Vd934 = Vd935
| ~ rS(Vd933,Vd936,Vd945)
| ~ rless(vplus(vangle(Vd933,Vd934,Vd935),vangle(Vd934,Vd935,Vd936)),vplus(vperp,vperp)) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f677]) ).
fof(f680,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( rintersect(X6,X4)
| ~ rpoint(X15)
| X0 != X15
| ~ rpoint(X14)
| X1 != X14
| ~ rpoint(X13)
| X2 != X13
| ~ rpoint(X12)
| X3 != X12
| ~ rpoint(X11)
| X10 != X11
| ~ rline(X9)
| X6 != X9
| ~ rline(X8)
| X4 != X8
| ~ rline(X7)
| X5 != X7
| ~ ron(X0,X6)
| ~ ron(X1,X6)
| ~ ron(X1,X4)
| ~ ron(X2,X4)
| ~ ron(X2,X5)
| ~ ron(X3,X5)
| X1 = X2
| ~ rS(X0,X3,X4)
| ~ rless(vplus(vangle(X0,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
inference(cnf_transformation,[status(thm)],[f678]) ).
fof(f688,plain,
! [Vd648,Vd652] :
( ( rinside(Vd648,Vd652)
| ron(Vd648,Vd652)
| sP0_prd(Vd652,Vd648) )
& ( ( ~ rinside(Vd648,Vd652)
& ~ ron(Vd648,Vd652) )
| ~ sP0_prd(Vd652,Vd648) ) ),
inference(NNF_transformation,[status(thm)],[f351]) ).
fof(f689,plain,
( ! [Vd648,Vd652] :
( rinside(Vd648,Vd652)
| ron(Vd648,Vd652)
| sP0_prd(Vd652,Vd648) )
& ! [Vd648,Vd652] :
( ( ~ rinside(Vd648,Vd652)
& ~ ron(Vd648,Vd652) )
| ~ sP0_prd(Vd652,Vd648) ) ),
inference(miniscoping,[status(thm)],[f688]) ).
fof(f690,plain,
! [X0,X1] :
( ~ ron(X1,X0)
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f689]) ).
fof(f693,plain,
! [Vd606,Vd613] :
( ( rinside(Vd606,Vd613)
| ron(Vd606,Vd613)
| sP1_prd(Vd613,Vd606) )
& ( ( ~ rinside(Vd606,Vd613)
& ~ ron(Vd606,Vd613) )
| ~ sP1_prd(Vd613,Vd606) ) ),
inference(NNF_transformation,[status(thm)],[f364]) ).
fof(f694,plain,
( ! [Vd606,Vd613] :
( rinside(Vd606,Vd613)
| ron(Vd606,Vd613)
| sP1_prd(Vd613,Vd606) )
& ! [Vd606,Vd613] :
( ( ~ rinside(Vd606,Vd613)
& ~ ron(Vd606,Vd613) )
| ~ sP1_prd(Vd613,Vd606) ) ),
inference(miniscoping,[status(thm)],[f693]) ).
fof(f695,plain,
! [X0,X1] :
( ~ ron(X1,X0)
| ~ sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f694]) ).
fof(f698,plain,
! [Vd595,Vd603] :
( ( rinside(Vd595,Vd603)
| ron(Vd595,Vd603)
| sP2_prd(Vd603,Vd595) )
& ( ( ~ rinside(Vd595,Vd603)
& ~ ron(Vd595,Vd603) )
| ~ sP2_prd(Vd603,Vd595) ) ),
inference(NNF_transformation,[status(thm)],[f370]) ).
fof(f699,plain,
( ! [Vd595,Vd603] :
( rinside(Vd595,Vd603)
| ron(Vd595,Vd603)
| sP2_prd(Vd603,Vd595) )
& ! [Vd595,Vd603] :
( ( ~ rinside(Vd595,Vd603)
& ~ ron(Vd595,Vd603) )
| ~ sP2_prd(Vd603,Vd595) ) ),
inference(miniscoping,[status(thm)],[f698]) ).
fof(f700,plain,
! [X0,X1] :
( ~ ron(X1,X0)
| ~ sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f699]) ).
fof(f721,definition,
( sQ0_spl
<=> vd1199 = vd1185 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f722,plain,
( ~ sQ0_spl
| vd1199 = vd1185 ),
inference(component_clause,[status(thm)],[f721]) ).
fof(f724,definition,
( sQ1_spl
<=> rR(vd1185,vd1199,vd1186) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f727,definition,
( sQ2_spl
<=> rR(vd1199,vd1185,vd1186) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f730,plain,
( sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f231,f721,f724,f727]) ).
fof(f731,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f233,f721,f724]) ).
fof(f732,plain,
( ~ sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f235,f721,f727]) ).
fof(f734,definition,
! [X0,X1,X2,X5,X6,X7] :
( sQ3_spl
<=> ( rintersect(sK17_skl(X2),X2)
| ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| X1 != X6
| ~ rcircle(X5)
| X2 != X5
| ~ ron(X0,X2)
| sP0_prd(X2,X1)
| rS(X0,X1,sK16_skl(X1,X0,X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f737,definition,
! [X3,X4] :
( sQ4_spl
<=> ( ~ rcircle(X4)
| X3 != X4 ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f738,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ rcircle(X1)
| X0 != X1 ),
inference(component_clause,[status(thm)],[f737]) ).
fof(f740,plain,
( sQ4_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f355,f734,f737]) ).
fof(f741,definition,
! [X0,X1,X2,X5,X6,X7] :
( sQ5_spl
<=> ( rintersect(sK17_skl(X2),X2)
| ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| X1 != X6
| ~ rcircle(X5)
| X2 != X5
| ~ rinside(X0,X2)
| sP0_prd(X2,X1)
| rS(X0,X1,sK16_skl(X1,X0,X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f744,plain,
( sQ4_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f356,f741,f737]) ).
fof(f745,definition,
! [X0,X1,X2,X3,X4,X7,X8,X9] :
( sQ6_spl
<=> ( rinside(X0,X3)
| ~ rpoint(X9)
| X1 != X9
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X7)
| X0 != X7
| ~ rcircle(X4)
| X3 != X4
| ~ ron(X1,X3)
| sP2_prd(X3,X2)
| ~ rR(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f748,definition,
! [X5,X6] :
( sQ7_spl
<=> ( ~ rline(X6)
| X5 != X6 ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f749,plain,
! [X0,X1] :
( ~ sQ7_spl
| ~ rline(X1)
| X0 != X1 ),
inference(component_clause,[status(thm)],[f748]) ).
fof(f751,plain,
( sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f373,f745,f748]) ).
fof(f752,definition,
! [X0,X1,X2,X3,X4,X7,X8,X9] :
( sQ8_spl
<=> ( rinside(X0,X3)
| ~ rpoint(X9)
| X1 != X9
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X7)
| X0 != X7
| ~ rcircle(X4)
| X3 != X4
| ~ rinside(X1,X3)
| sP2_prd(X3,X2)
| ~ rR(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f755,plain,
( sQ7_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f374,f752,f748]) ).
fof(f756,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X12,X13,X14,X15] :
( sQ9_spl
<=> ( rintersect(X6,X4)
| ~ rpoint(X15)
| X0 != X15
| ~ rpoint(X14)
| X1 != X14
| ~ rpoint(X13)
| X2 != X13
| ~ rpoint(X12)
| X3 != X12
| ~ rline(X9)
| X6 != X9
| ~ rline(X8)
| X4 != X8
| ~ rline(X7)
| X5 != X7
| ~ ron(X0,X6)
| ~ ron(X1,X6)
| ~ ron(X1,X4)
| ~ ron(X2,X4)
| ~ ron(X2,X5)
| ~ ron(X3,X5)
| X1 = X2
| ~ rS(X0,X3,X4)
| ~ rless(vplus(vangle(X0,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f759,definition,
! [X10,X11] :
( sQ10_spl
<=> ( ~ rpoint(X11)
| X10 != X11 ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f760,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ rpoint(X1)
| X0 != X1 ),
inference(component_clause,[status(thm)],[f759]) ).
fof(f762,plain,
( sQ10_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f680,f756,f759]) ).
fof(f763,plain,
! [X0,X1,X2] :
( rS(X1,X0,X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(X2)
| ~ rS(X0,X1,X2) ),
inference(destructive_equality_resolution,[status(thm)],[f186]) ).
fof(f765,plain,
! [X0,X1,X2,X3,X4,X5] :
( rS(X5,X2,X1)
| vangle(X5,X3,X4) != vplus(vangle(X5,X3,X2),vangle(X2,X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X5,X0)
| ~ ron(X4,X1)
| X3 = X5
| X3 = X4
| ron(X2,X0)
| ron(X2,X1)
| X0 = X1 ),
inference(destructive_equality_resolution,[status(thm)],[f190]) ).
fof(f766,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ rS(X5,X2,X1)
| ~ rS(X4,X2,X0)
| vangle(X5,X3,X4) = vplus(vangle(X5,X3,X2),vangle(X2,X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X5,X0)
| ~ ron(X4,X1)
| X3 = X5
| X3 = X4
| ron(X2,X0)
| ron(X2,X1)
| X0 = X1 ),
inference(destructive_equality_resolution,[status(thm)],[f191]) ).
fof(f783,plain,
! [X0,X1] :
( vf(X1,X0) = sK10_skl(X0,X1)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f260]) ).
fof(f784,plain,
! [X0,X1] :
( rreal(sK10_skl(X0,X1))
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f261]) ).
fof(f789,plain,
! [X0,X1,X2] :
( X0 = X2
| ~ rreal(X0)
| ~ rreal(X2)
| ~ rreal(X1)
| vplus(X0,X1) != vplus(X2,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f275]) ).
fof(f791,plain,
! [X0] :
( vplus(X0,v0) = X0
| ~ rreal(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f281]) ).
fof(f799,plain,
! [X0,X1,X2] :
( vplus(vf(X1,X0),vf(X0,X2)) = vf(X1,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rR(X0,X1,X2) ),
inference(destructive_equality_resolution,[status(thm)],[f299]) ).
fof(f801,plain,
! [X0,X1,X2] :
( ~ rR(X1,X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rR(X0,X1,X2) ),
inference(destructive_equality_resolution,[status(thm)],[f304]) ).
fof(f806,plain,
! [X0,X1,X2] :
( rR(X0,X2,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rR(X0,X1,X2) ),
inference(destructive_equality_resolution,[status(thm)],[f307]) ).
fof(f809,plain,
! [X0,X1] :
( rcircle(sK12_skl(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 ),
inference(destructive_equality_resolution,[status(thm)],[f312]) ).
fof(f818,plain,
! [X0,X1,X2,X3] :
( rintersect(X3,X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(X2,X3)
| ~ rinside(X0,X3)
| ~ rinside(X2,X1)
| ~ ron(X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f342]) ).
fof(f821,plain,
! [X0,X1,X2] :
( rintersect(X1,X2)
| ~ rpoint(X0)
| ~ rcircle(X2)
| ~ rline(X1)
| ~ rinside(X0,X2)
| ~ ron(X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f349]) ).
fof(f822,plain,
! [X0,X1,X2,X3] :
( rintersect(X3,X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rline(X3)
| rS(X2,X0,X3)
| ~ rline(X1)
| ~ ron(X2,X1)
| ~ ron(X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f359]) ).
fof(f823,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ rS(X5,X6,X1)
| ~ rcircle(X4)
| ~ rcircle(X3)
| X4 = X3
| ~ rintersect(X4,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X4)
| ~ ron(X5,X3)
| ~ ron(X6,X4)
| ~ ron(X6,X3)
| X5 = X6
| ~ rcenter(X2,X4)
| ~ rcenter(X0,X3)
| ~ rline(X1)
| ~ ron(X2,X1)
| ~ ron(X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f362]) ).
fof(f827,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rS(X0,X1,X6)
| ~ rline(X6)
| ~ rline(X4)
| ~ rline(X2)
| ~ rpoint(X7)
| ~ rpoint(X5)
| ~ rpoint(X0)
| ~ rpoint(X3)
| ~ ron(X7,X6)
| ~ ron(X7,X4)
| ~ ron(X7,X2)
| ~ ron(X5,X6)
| ~ ron(X0,X4)
| ~ ron(X3,X2)
| ~ rS(X0,X3,X6)
| ~ rS(X5,X0,X2)
| ~ rS(X3,X1,X4)
| ~ rS(X0,X1,X2) ),
inference(destructive_equality_resolution,[status(thm)],[f380]) ).
fof(f828,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( rS(X0,X4,X6)
| ~ rline(X5)
| ~ rline(X3)
| ~ rline(X6)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ ron(X1,X5)
| ~ ron(X1,X3)
| ~ ron(X1,X6)
| ~ ron(X0,X5)
| ~ ron(X4,X3)
| ~ ron(X2,X6)
| ~ rS(X4,X2,X5)
| rS(X0,X2,X3)
| ron(X2,X3)
| X0 = X1 ),
inference(destructive_equality_resolution,[status(thm)],[f383]) ).
fof(f829,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ rS(X0,X3,X6)
| ~ rline(X4)
| ~ rline(X6)
| ~ rline(X2)
| ~ rpoint(X5)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ ron(X5,X4)
| ~ ron(X5,X6)
| ~ ron(X5,X2)
| ~ ron(X0,X4)
| ~ ron(X1,X2)
| ~ ron(X3,X2)
| ~ rS(X1,X3,X4)
| ~ rS(X0,X1,X2) ),
inference(destructive_equality_resolution,[status(thm)],[f386]) ).
fof(f830,plain,
! [X0,X1,X2,X3,X4] :
( rR(X0,X3,X4)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X4)
| X3 = X0
| X3 = X4
| X0 = X4
| ~ rline(X1)
| ~ rline(X2)
| X1 = X2
| ~ ron(X3,X2)
| ~ ron(X4,X2)
| rS(X3,X4,X1)
| ~ ron(X0,X2)
| ~ ron(X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f389]) ).
fof(f831,plain,
! [X0,X1,X2,X3] :
( ~ rS(X2,X3,X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X3)
| ~ rline(X1)
| ~ rR(X0,X2,X3)
| ~ ron(X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f392]) ).
fof(f833,plain,
! [X0,X1,X2,X3] :
( rS(X0,X3,X2)
| ~ rpoint(X0)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rline(X2)
| ~ rR(X3,X0,X1)
| ~ rS(X0,X1,X2) ),
inference(destructive_equality_resolution,[status(thm)],[f398]) ).
fof(f834,plain,
! [X0,X1,X2,X3] :
( rS(X1,X3,X2)
| rS(X0,X3,X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rline(X2)
| ron(X0,X2)
| ron(X1,X2)
| ron(X3,X2)
| rS(X0,X1,X2) ),
inference(destructive_equality_resolution,[status(thm)],[f401]) ).
fof(f835,plain,
! [X0,X1,X2,X3] :
( rS(X3,X1,X2)
| ~ rpoint(X0)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rline(X2)
| ~ rS(X0,X3,X2)
| ~ rS(X0,X1,X2) ),
inference(destructive_equality_resolution,[status(thm)],[f404]) ).
fof(f836,plain,
! [X0,X1,X2] :
( ~ ron(X0,X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(X2)
| ~ rS(X0,X1,X2) ),
inference(destructive_equality_resolution,[status(thm)],[f407]) ).
fof(f844,plain,
! [X0,X1,X2,X3] :
( X2 = X1
| ~ rpoint(X3)
| ~ rpoint(X0)
| X3 = X0
| ~ rline(X2)
| ~ rline(X1)
| ~ ron(X3,X2)
| ~ ron(X3,X1)
| ~ ron(X0,X2)
| ~ ron(X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f433]) ).
fof(f934,plain,
! [X0] :
( rpoint(sK45_skl(X0))
| ~ rline(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f601]) ).
fof(f981,plain,
! [X0] :
( ~ sQ7_spl
| ~ rline(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f749]) ).
fof(f982,plain,
! [X0] :
( ~ sQ4_spl
| ~ rcircle(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f738]) ).
fof(f984,plain,
( ~ sQ0_spl
| vangle(vd1186,vd1185,vd1187) != vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1199,vd1187)) ),
inference(backward_demodulation,[status(thm)],[f722,f151]) ).
fof(f985,plain,
( ~ sQ0_spl
| vangle(vd1186,vd1199,vd1187) != vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1199,vd1187)) ),
inference(forward_demodulation,[status(thm)],[f722,f984]) ).
fof(f986,plain,
( ~ sQ0_spl
| vangle(vd1186,vd1199,vd1187) != vplus(vangle(vd1186,vd1199,vd1201),vangle(vd1201,vd1199,vd1187)) ),
inference(forward_demodulation,[status(thm)],[f722,f985]) ).
fof(f991,plain,
! [X0,X1] :
( X1 = X1
| ~ rreal(X1)
| ~ rreal(X1)
| ~ rreal(X0) ),
inference(equality_resolution,[status(thm)],[f789]) ).
fof(f992,definition,
! [X0] :
( sQ11_spl
<=> ~ rreal(X0) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f993,plain,
! [X0] :
( ~ sQ11_spl
| ~ rreal(X0) ),
inference(component_clause,[status(thm)],[f992]) ).
fof(f995,definition,
! [X1] :
( sQ12_spl
<=> ( X1 = X1
| ~ rreal(X1)
| ~ rreal(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f998,plain,
( sQ12_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f991,f992,f995]) ).
fof(f1000,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rS(X5,X2,X7)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rline(X6)
| ~ rline(X7)
| ~ ron(X3,X6)
| ~ ron(X3,X7)
| ~ ron(X5,X6)
| ~ ron(X4,X7)
| X3 = X5
| X3 = X4
| ron(X2,X6)
| ron(X2,X7)
| X6 = X7
| ~ rS(X5,X2,X1)
| ~ rS(X4,X2,X0)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X5,X0)
| ~ ron(X4,X1)
| X3 = X5
| X3 = X4
| ron(X2,X0)
| ron(X2,X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[f766,f765]) ).
fof(f1013,definition,
( sQ16_spl
<=> rpoint(vd1201) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f1015,plain,
( sQ16_spl
| ~ rpoint(vd1201) ),
inference(component_clause,[status(thm)],[f1013]) ).
fof(f1016,definition,
( sQ17_spl
<=> rpoint(vd1187) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f1018,plain,
( sQ17_spl
| ~ rpoint(vd1187) ),
inference(component_clause,[status(thm)],[f1016]) ).
fof(f1019,definition,
( sQ18_spl
<=> rpoint(vd1186) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f1021,plain,
( sQ18_spl
| ~ rpoint(vd1186) ),
inference(component_clause,[status(thm)],[f1019]) ).
fof(f1026,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rS(X5,X2,X7)
| ~ rline(X6)
| ~ rline(X7)
| ~ ron(X3,X6)
| ~ ron(X3,X7)
| ~ ron(X5,X6)
| ~ ron(X4,X7)
| ron(X2,X6)
| ron(X2,X7)
| X6 = X7
| ~ rS(X5,X2,X1)
| ~ rS(X4,X2,X0)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X5,X0)
| ~ ron(X4,X1)
| X3 = X5
| X3 = X4
| ron(X2,X0)
| ron(X2,X1)
| X0 = X1 ),
inference(duplicate_literals_removal,[status(thm)],[f1000]) ).
fof(f1031,plain,
! [X0,X1,X2,X3,X4] :
( rS(vd1187,vd1201,X4)
| ~ rline(X3)
| ~ rline(X4)
| ~ ron(X1,X3)
| ~ ron(X1,X4)
| ~ ron(vd1187,X3)
| ~ ron(X2,X4)
| ron(vd1201,X3)
| ron(vd1201,X4)
| X3 = X4
| ~ rS(X2,vd1201,X0)
| ~ rpoint(X1)
| ~ rpoint(vd1187)
| ~ rpoint(X2)
| ~ rpoint(vd1201)
| ~ rline(X0)
| ~ rline(vd1197)
| ~ ron(X1,X0)
| ~ ron(X1,vd1197)
| ~ ron(vd1187,X0)
| ~ ron(X2,vd1197)
| X1 = vd1187
| X1 = X2
| ron(vd1201,X0)
| ron(vd1201,vd1197)
| X0 = vd1197 ),
inference(resolution,[status(thm)],[f1026,f154]) ).
fof(f1038,definition,
( sQ22_spl
<=> rline(vd1197) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f1040,plain,
( sQ22_spl
| ~ rline(vd1197) ),
inference(component_clause,[status(thm)],[f1038]) ).
fof(f1042,definition,
! [X0,X1,X2,X3,X4] :
( sQ23_spl
<=> ( rS(vd1187,vd1201,X4)
| ~ rline(X3)
| ~ rline(X4)
| ~ ron(X1,X3)
| ~ ron(X1,X4)
| ~ ron(vd1187,X3)
| ~ ron(X2,X4)
| ron(vd1201,X3)
| ron(vd1201,X4)
| X3 = X4
| ~ rS(X2,vd1201,X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rline(X0)
| ~ ron(X1,X0)
| ~ ron(X1,vd1197)
| ~ ron(vd1187,X0)
| ~ ron(X2,vd1197)
| X1 = vd1187
| X1 = X2
| ron(vd1201,X0)
| X0 = vd1197 ) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f1045,definition,
( sQ24_spl
<=> ron(vd1201,vd1197) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f1046,plain,
( ~ sQ24_spl
| ron(vd1201,vd1197) ),
inference(component_clause,[status(thm)],[f1045]) ).
fof(f1048,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| ~ sQ22_spl
| sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f1031,f1042,f1045,f1038,f1013,f1016]) ).
fof(f1049,plain,
( ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f157,f981]) ).
fof(f1050,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f1049]) ).
fof(f1053,plain,
rS(sK0_skl,vd1187,vd1197),
inference(backward_demodulation,[status(thm)],[f160,f158]) ).
fof(f1054,plain,
rS(vd1187,sK0_skl,vd1197),
inference(backward_demodulation,[status(thm)],[f160,f154]) ).
fof(f1055,plain,
( ~ sQ0_spl
| vangle(vd1186,vd1199,vd1187) != vplus(vangle(vd1186,vd1199,vd1201),vangle(sK0_skl,vd1199,vd1187)) ),
inference(backward_demodulation,[status(thm)],[f160,f986]) ).
fof(f1056,plain,
( ~ sQ0_spl
| vangle(vd1186,vd1199,vd1187) != vplus(vangle(vd1186,vd1199,sK0_skl),vangle(sK0_skl,vd1199,vd1187)) ),
inference(forward_demodulation,[status(thm)],[f160,f1055]) ).
fof(f1057,plain,
~ ron(sK1_skl,vd1197),
inference(backward_demodulation,[status(thm)],[f169,f242]) ).
fof(f1059,plain,
( ~ sQ0_spl
| sK3_skl = vd1185 ),
inference(backward_demodulation,[status(thm)],[f1060,f722]) ).
fof(f1060,plain,
( ~ sQ0_spl
| vd1199 = sK3_skl ),
inference(forward_demodulation,[status(thm)],[f722,f173]) ).
fof(f1061,plain,
rS(sK2_skl,vd1201,vd1232),
inference(forward_demodulation,[status(thm)],[f171,f152]) ).
fof(f1062,plain,
rS(sK2_skl,sK0_skl,vd1232),
inference(forward_demodulation,[status(thm)],[f160,f1061]) ).
fof(f1063,plain,
~ ron(sK0_skl,vd1232),
inference(forward_demodulation,[status(thm)],[f160,f153]) ).
fof(f1064,plain,
ron(sK0_skl,vd1234),
inference(forward_demodulation,[status(thm)],[f160,f155]) ).
fof(f1065,plain,
( sQ17_spl
| ~ rpoint(sK1_skl) ),
inference(forward_demodulation,[status(thm)],[f169,f1018]) ).
fof(f1066,plain,
( sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1065,f170]) ).
fof(f1067,plain,
sQ17_spl,
inference(contradiction_clause,[status(thm)],[f1066]) ).
fof(f1068,plain,
( sQ16_spl
| ~ rpoint(sK0_skl) ),
inference(forward_demodulation,[status(thm)],[f160,f1015]) ).
fof(f1069,plain,
( sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1068,f161]) ).
fof(f1070,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f1069]) ).
fof(f1072,plain,
( sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1040,f162]) ).
fof(f1073,plain,
sQ22_spl,
inference(contradiction_clause,[status(thm)],[f1072]) ).
fof(f1074,plain,
( ~ sQ24_spl
| ron(sK0_skl,vd1197) ),
inference(forward_demodulation,[status(thm)],[f160,f1046]) ).
fof(f1098,plain,
( sQ18_spl
| ~ rpoint(sK2_skl) ),
inference(forward_demodulation,[status(thm)],[f171,f1021]) ).
fof(f1099,plain,
( sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1098,f172]) ).
fof(f1100,plain,
sQ18_spl,
inference(contradiction_clause,[status(thm)],[f1099]) ).
fof(f1121,definition,
( sQ26_spl
<=> sK3_skl = sK1_skl ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f1122,plain,
( ~ sQ26_spl
| sK3_skl = sK1_skl ),
inference(component_clause,[status(thm)],[f1121]) ).
fof(f1123,plain,
( sQ26_spl
| sK3_skl != sK1_skl ),
inference(component_clause,[status(thm)],[f1121]) ).
fof(f1127,definition,
( sQ28_spl
<=> rpoint(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f1129,plain,
( sQ28_spl
| ~ rpoint(sK0_skl) ),
inference(component_clause,[status(thm)],[f1127]) ).
fof(f1130,definition,
( sQ29_spl
<=> rpoint(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f1132,plain,
( sQ29_spl
| ~ rpoint(sK1_skl) ),
inference(component_clause,[status(thm)],[f1130]) ).
fof(f1133,definition,
( sQ30_spl
<=> rpoint(sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f1135,plain,
( sQ30_spl
| ~ rpoint(sK3_skl) ),
inference(component_clause,[status(thm)],[f1133]) ).
fof(f1139,plain,
( sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1135,f174]) ).
fof(f1140,plain,
sQ30_spl,
inference(contradiction_clause,[status(thm)],[f1139]) ).
fof(f1141,plain,
( sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1132,f170]) ).
fof(f1142,plain,
sQ29_spl,
inference(contradiction_clause,[status(thm)],[f1141]) ).
fof(f1143,plain,
( sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1129,f161]) ).
fof(f1144,plain,
sQ28_spl,
inference(contradiction_clause,[status(thm)],[f1143]) ).
fof(f1148,plain,
( ~ sQ0_spl
| vangle(vd1186,sK3_skl,vd1187) != vplus(vangle(vd1186,vd1199,sK0_skl),vangle(sK0_skl,vd1199,vd1187)) ),
inference(forward_demodulation,[status(thm)],[f1060,f1056]) ).
fof(f1149,plain,
( ~ sQ0_spl
| vangle(vd1186,sK3_skl,sK1_skl) != vplus(vangle(vd1186,vd1199,sK0_skl),vangle(sK0_skl,vd1199,vd1187)) ),
inference(forward_demodulation,[status(thm)],[f169,f1148]) ).
fof(f1150,plain,
( ~ sQ0_spl
| vangle(vd1186,sK3_skl,sK1_skl) != vplus(vangle(vd1186,sK3_skl,sK0_skl),vangle(sK0_skl,vd1199,vd1187)) ),
inference(forward_demodulation,[status(thm)],[f1060,f1149]) ).
fof(f1151,plain,
( ~ sQ0_spl
| vangle(vd1186,sK3_skl,sK1_skl) != vplus(vangle(vd1186,sK3_skl,sK0_skl),vangle(sK0_skl,sK3_skl,vd1187)) ),
inference(forward_demodulation,[status(thm)],[f1060,f1150]) ).
fof(f1152,plain,
( ~ sQ0_spl
| vangle(vd1186,sK3_skl,sK1_skl) != vplus(vangle(vd1186,sK3_skl,sK0_skl),vangle(sK0_skl,sK3_skl,sK1_skl)) ),
inference(forward_demodulation,[status(thm)],[f169,f1151]) ).
fof(f1155,plain,
( ~ sQ26_spl
| ~ ron(sK3_skl,vd1197) ),
inference(forward_demodulation,[status(thm)],[f1122,f1057]) ).
fof(f1167,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ rS(X5,X2,X7)
| ~ rS(X4,X2,X6)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rline(X6)
| ~ rline(X7)
| ~ ron(X3,X6)
| ~ ron(X3,X7)
| ~ ron(X5,X6)
| ~ ron(X4,X7)
| X3 = X5
| X3 = X4
| ron(X2,X6)
| ron(X2,X7)
| X6 = X7
| rS(X5,X2,X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X5,X0)
| ~ ron(X4,X1)
| X3 = X5
| X3 = X4
| ron(X2,X0)
| ron(X2,X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[f765,f766]) ).
fof(f1168,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ rS(X5,X2,X7)
| ~ rS(X4,X2,X6)
| ~ rline(X6)
| ~ rline(X7)
| ~ ron(X3,X6)
| ~ ron(X3,X7)
| ~ ron(X5,X6)
| ~ ron(X4,X7)
| ron(X2,X6)
| ron(X2,X7)
| X6 = X7
| rS(X5,X2,X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X5,X0)
| ~ ron(X4,X1)
| X3 = X5
| X3 = X4
| ron(X2,X0)
| ron(X2,X1)
| X0 = X1 ),
inference(duplicate_literals_removal,[status(thm)],[f1167]) ).
fof(f1171,plain,
vd1178 != sK4_skl,
inference(backward_demodulation,[status(thm)],[f178,f176]) ).
fof(f1172,plain,
vd1179 != sK4_skl,
inference(backward_demodulation,[status(thm)],[f178,f175]) ).
fof(f1173,plain,
vd1178 != sK5_skl,
inference(backward_demodulation,[status(thm)],[f180,f177]) ).
fof(f1174,plain,
sK7_skl = vd1186,
inference(backward_demodulation,[status(thm)],[f202,f194]) ).
fof(f1176,plain,
( sQ26_spl
| ~ sQ0_spl
| sK8_skl != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f1180,f1123]) ).
fof(f1177,plain,
( ~ sQ0_spl
| sK8_skl = vd1185 ),
inference(backward_demodulation,[status(thm)],[f1180,f1059]) ).
fof(f1180,plain,
( ~ sQ0_spl
| sK3_skl = sK8_skl ),
inference(forward_demodulation,[status(thm)],[f1060,f205]) ).
fof(f1181,plain,
( ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f283,f993]) ).
fof(f1182,plain,
~ sQ11_spl,
inference(contradiction_clause,[status(thm)],[f1181]) ).
fof(f1220,definition,
( sQ37_spl
<=> vd1187 = vd1186 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f1221,plain,
( ~ sQ37_spl
| vd1187 = vd1186 ),
inference(component_clause,[status(thm)],[f1220]) ).
fof(f1222,plain,
( sQ37_spl
| vd1187 != vd1186 ),
inference(component_clause,[status(thm)],[f1220]) ).
fof(f1254,plain,
( ~ sQ26_spl
| ~ sQ0_spl
| ~ ron(sK8_skl,vd1197) ),
inference(forward_demodulation,[status(thm)],[f1180,f1155]) ).
fof(f1272,definition,
( sQ43_spl
<=> rpoint(sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f1274,plain,
( sQ43_spl
| ~ rpoint(sK8_skl) ),
inference(component_clause,[status(thm)],[f1272]) ).
fof(f1279,plain,
( sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1274,f206]) ).
fof(f1280,plain,
sQ43_spl,
inference(contradiction_clause,[status(thm)],[f1279]) ).
fof(f1283,plain,
( ~ sQ0_spl
| sK8_skl = vd1185 ),
inference(backward_demodulation,[status(thm)],[f1284,f229]) ).
fof(f1284,plain,
( ~ sQ0_spl
| sK8_skl = vd1199 ),
inference(forward_demodulation,[status(thm)],[f229,f1177]) ).
fof(f1302,plain,
sK6_skl != sK4_skl,
inference(forward_demodulation,[status(thm)],[f182,f1171]) ).
fof(f1303,plain,
sK5_skl != sK4_skl,
inference(forward_demodulation,[status(thm)],[f180,f1172]) ).
fof(f1304,plain,
sK6_skl != sK5_skl,
inference(forward_demodulation,[status(thm)],[f182,f1173]) ).
fof(f1323,plain,
( ~ sQ0_spl
| vangle(vd1186,sK8_skl,sK1_skl) != vplus(vangle(vd1186,sK3_skl,sK0_skl),vangle(sK0_skl,sK3_skl,sK1_skl)) ),
inference(forward_demodulation,[status(thm)],[f1180,f1152]) ).
fof(f1340,definition,
( sQ45_spl
<=> rpoint(sK5_skl) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f1342,plain,
( sQ45_spl
| ~ rpoint(sK5_skl) ),
inference(component_clause,[status(thm)],[f1340]) ).
fof(f1343,definition,
( sQ46_spl
<=> rpoint(sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f1345,plain,
( sQ46_spl
| ~ rpoint(sK6_skl) ),
inference(component_clause,[status(thm)],[f1343]) ).
fof(f1351,plain,
( sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1345,f183]) ).
fof(f1352,plain,
sQ46_spl,
inference(contradiction_clause,[status(thm)],[f1351]) ).
fof(f1353,plain,
( sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1342,f181]) ).
fof(f1354,plain,
sQ45_spl,
inference(contradiction_clause,[status(thm)],[f1353]) ).
fof(f1365,plain,
( ~ sQ0_spl
| ron(sK8_skl,vd1197) ),
inference(forward_demodulation,[status(thm)],[f1284,f193]) ).
fof(f1366,plain,
( ~ sQ0_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1365,f1254]) ).
fof(f1367,plain,
( ~ sQ0_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f1366]) ).
fof(f1397,plain,
( ~ sQ0_spl
| vangle(sK7_skl,sK8_skl,sK1_skl) != vplus(vangle(vd1186,sK3_skl,sK0_skl),vangle(sK0_skl,sK3_skl,sK1_skl)) ),
inference(forward_demodulation,[status(thm)],[f1174,f1323]) ).
fof(f1398,plain,
( ~ sQ0_spl
| vangle(sK7_skl,sK8_skl,sK1_skl) != vplus(vangle(sK7_skl,sK3_skl,sK0_skl),vangle(sK0_skl,sK3_skl,sK1_skl)) ),
inference(forward_demodulation,[status(thm)],[f1174,f1397]) ).
fof(f1399,plain,
( ~ sQ0_spl
| vangle(sK7_skl,sK8_skl,sK1_skl) != vplus(vangle(sK7_skl,sK8_skl,sK0_skl),vangle(sK0_skl,sK3_skl,sK1_skl)) ),
inference(forward_demodulation,[status(thm)],[f1180,f1398]) ).
fof(f1400,plain,
( ~ sQ0_spl
| vangle(sK7_skl,sK8_skl,sK1_skl) != vplus(vangle(sK7_skl,sK8_skl,sK0_skl),vangle(sK0_skl,sK8_skl,sK1_skl)) ),
inference(forward_demodulation,[status(thm)],[f1180,f1399]) ).
fof(f1403,plain,
( ~ sQ37_spl
| vd1187 = sK7_skl ),
inference(forward_demodulation,[status(thm)],[f1174,f1221]) ).
fof(f1418,definition,
! [X0,X1] :
( sQ50_spl
<=> ( ~ rS(sK8_skl,sK0_skl,X1)
| ~ rS(sK1_skl,sK0_skl,X0)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(sK8_skl,X0)
| ~ ron(sK8_skl,X1)
| ~ ron(sK8_skl,X0)
| ~ ron(sK1_skl,X1)
| ron(sK0_skl,X0)
| ron(sK0_skl,X1)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f1419,plain,
! [X0,X1] :
( ~ sQ50_spl
| ~ rS(sK8_skl,sK0_skl,X1)
| ~ rS(sK1_skl,sK0_skl,X0)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(sK8_skl,X0)
| ~ ron(sK8_skl,X1)
| ~ ron(sK8_skl,X0)
| ~ ron(sK1_skl,X1)
| ron(sK0_skl,X0)
| ron(sK0_skl,X1)
| X0 = X1 ),
inference(component_clause,[status(thm)],[f1418]) ).
fof(f1421,definition,
( sQ51_spl
<=> sK8_skl = sK1_skl ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f1422,plain,
( ~ sQ51_spl
| sK8_skl = sK1_skl ),
inference(component_clause,[status(thm)],[f1421]) ).
fof(f1443,plain,
( ~ sQ51_spl
| sQ26_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1422,f1176]) ).
fof(f1444,plain,
( ~ sQ51_spl
| sQ26_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1443]) ).
fof(f1445,plain,
! [X0,X1] :
( ~ sQ50_spl
| ~ rS(sK8_skl,sK0_skl,X1)
| ~ rS(sK1_skl,sK0_skl,X0)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(sK8_skl,X1)
| ~ ron(sK8_skl,X0)
| ~ ron(sK1_skl,X1)
| ron(sK0_skl,X0)
| ron(sK0_skl,X1)
| X0 = X1 ),
inference(duplicate_literals_removal,[status(thm)],[f1419]) ).
fof(f1447,plain,
( ~ sQ37_spl
| rS(sK7_skl,sK0_skl,vd1197) ),
inference(forward_demodulation,[status(thm)],[f1403,f1054]) ).
fof(f1448,plain,
( ~ sQ37_spl
| rS(sK0_skl,sK7_skl,vd1197)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK0_skl)
| ~ rline(vd1197) ),
inference(resolution,[status(thm)],[f1447,f763]) ).
fof(f1449,definition,
( sQ52_spl
<=> rpoint(sK7_skl) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f1451,plain,
( sQ52_spl
| ~ rpoint(sK7_skl) ),
inference(component_clause,[status(thm)],[f1449]) ).
fof(f1452,definition,
( sQ53_spl
<=> rS(sK0_skl,sK7_skl,vd1197) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f1453,plain,
( ~ sQ53_spl
| rS(sK0_skl,sK7_skl,vd1197) ),
inference(component_clause,[status(thm)],[f1452]) ).
fof(f1454,plain,
( sQ53_spl
| ~ rS(sK0_skl,sK7_skl,vd1197) ),
inference(component_clause,[status(thm)],[f1452]) ).
fof(f1455,plain,
( ~ sQ37_spl
| sQ53_spl
| ~ sQ52_spl
| ~ sQ28_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1448,f1038,f1127,f1449,f1452,f1220]) ).
fof(f1456,plain,
( rS(vd1187,sK0_skl,vd1197)
| ~ rpoint(sK0_skl)
| ~ rpoint(vd1187)
| ~ rline(vd1197) ),
inference(resolution,[status(thm)],[f1053,f763]) ).
fof(f1457,definition,
( sQ54_spl
<=> rS(vd1187,sK0_skl,vd1197) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f1460,plain,
( sQ54_spl
| ~ sQ28_spl
| ~ sQ17_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1456,f1038,f1016,f1127,f1457]) ).
fof(f1461,plain,
( ~ sQ53_spl
| rS(sK7_skl,sK0_skl,vd1197)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK7_skl)
| ~ rline(vd1197) ),
inference(resolution,[status(thm)],[f1453,f763]) ).
fof(f1462,definition,
( sQ55_spl
<=> rS(sK7_skl,sK0_skl,vd1197) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f1463,plain,
( ~ sQ55_spl
| rS(sK7_skl,sK0_skl,vd1197) ),
inference(component_clause,[status(thm)],[f1462]) ).
fof(f1464,plain,
( sQ55_spl
| ~ rS(sK7_skl,sK0_skl,vd1197) ),
inference(component_clause,[status(thm)],[f1462]) ).
fof(f1465,plain,
( ~ sQ53_spl
| sQ55_spl
| ~ sQ28_spl
| ~ sQ52_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1461,f1038,f1449,f1127,f1462,f1452]) ).
fof(f1477,definition,
( sQ57_spl
<=> sK6_skl = sK4_skl ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f1478,plain,
( ~ sQ57_spl
| sK6_skl = sK4_skl ),
inference(component_clause,[status(thm)],[f1477]) ).
fof(f1480,definition,
( sQ58_spl
<=> rpoint(sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f1482,plain,
( sQ58_spl
| ~ rpoint(sK4_skl) ),
inference(component_clause,[status(thm)],[f1480]) ).
fof(f1487,definition,
( sQ60_spl
<=> sK6_skl = sK5_skl ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f1488,plain,
( ~ sQ60_spl
| sK6_skl = sK5_skl ),
inference(component_clause,[status(thm)],[f1487]) ).
fof(f1507,plain,
( sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1482,f179]) ).
fof(f1508,plain,
sQ58_spl,
inference(contradiction_clause,[status(thm)],[f1507]) ).
fof(f1509,plain,
( ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1488,f1304]) ).
fof(f1510,plain,
~ sQ60_spl,
inference(contradiction_clause,[status(thm)],[f1509]) ).
fof(f1511,plain,
( ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1478,f1302]) ).
fof(f1512,plain,
~ sQ57_spl,
inference(contradiction_clause,[status(thm)],[f1511]) ).
fof(f1514,plain,
rS(sK0_skl,sK1_skl,vd1197),
inference(backward_demodulation,[status(thm)],[f169,f1053]) ).
fof(f1516,plain,
rpoint(sK7_skl),
inference(backward_demodulation,[status(thm)],[f1519,f172]) ).
fof(f1517,plain,
vd1186 = sK7_skl,
inference(backward_demodulation,[status(thm)],[f1519,f171]) ).
fof(f1519,plain,
sK7_skl = sK2_skl,
inference(forward_demodulation,[status(thm)],[f171,f1174]) ).
fof(f1520,plain,
( sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1516,f1451]) ).
fof(f1521,plain,
sQ52_spl,
inference(contradiction_clause,[status(thm)],[f1520]) ).
fof(f1522,plain,
( sQ37_spl
| sK1_skl != vd1186 ),
inference(forward_demodulation,[status(thm)],[f169,f1222]) ).
fof(f1523,plain,
( sQ37_spl
| sK1_skl != sK7_skl ),
inference(forward_demodulation,[status(thm)],[f1517,f1522]) ).
fof(f1526,plain,
ron(sK1_skl,vd1232),
inference(forward_demodulation,[status(thm)],[f169,f209]) ).
fof(f1527,plain,
( ~ sQ0_spl
| ron(sK8_skl,vd1232) ),
inference(forward_demodulation,[status(thm)],[f1283,f210]) ).
fof(f1542,plain,
vf(sK5_skl,vd1180) = vf(vd1200,vd1201),
inference(forward_demodulation,[status(thm)],[f180,f196]) ).
fof(f1543,plain,
vf(sK5_skl,sK4_skl) = vf(vd1200,vd1201),
inference(forward_demodulation,[status(thm)],[f178,f1542]) ).
fof(f1544,plain,
vf(sK5_skl,sK4_skl) = vf(sK7_skl,vd1201),
inference(forward_demodulation,[status(thm)],[f202,f1543]) ).
fof(f1545,plain,
vf(sK5_skl,sK4_skl) = vf(sK7_skl,sK0_skl),
inference(forward_demodulation,[status(thm)],[f160,f1544]) ).
fof(f1546,plain,
! [X0] :
( vplus(vf(X0,sK5_skl),vf(sK7_skl,sK0_skl)) = vf(X0,sK4_skl)
| ~ rpoint(X0)
| ~ rpoint(sK5_skl)
| ~ rpoint(sK4_skl)
| ~ rR(sK5_skl,X0,sK4_skl) ),
inference(paramodulation,[status(thm)],[f1545,f799]) ).
fof(f1547,plain,
! [X0] :
( vplus(vf(sK7_skl,sK0_skl),vf(sK4_skl,X0)) = vf(sK5_skl,X0)
| ~ rpoint(sK5_skl)
| ~ rpoint(sK4_skl)
| ~ rpoint(X0)
| ~ rR(sK4_skl,sK5_skl,X0) ),
inference(paramodulation,[status(thm)],[f1545,f799]) ).
fof(f1548,definition,
! [X0] :
( sQ67_spl
<=> ( vplus(vf(X0,sK5_skl),vf(sK7_skl,sK0_skl)) = vf(X0,sK4_skl)
| ~ rpoint(X0)
| ~ rR(sK5_skl,X0,sK4_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f1551,plain,
( ~ sQ45_spl
| ~ sQ58_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f1546,f1548,f1480,f1340]) ).
fof(f1552,definition,
! [X0] :
( sQ68_spl
<=> ( vplus(vf(sK7_skl,sK0_skl),vf(sK4_skl,X0)) = vf(sK5_skl,X0)
| ~ rpoint(X0)
| ~ rR(sK4_skl,sK5_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f1555,plain,
( ~ sQ45_spl
| ~ sQ58_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f1547,f1552,f1480,f1340]) ).
fof(f1564,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ rS(sK7_skl,sK0_skl,X1)
| ~ rS(sK1_skl,sK0_skl,X0)
| ~ rpoint(sK8_skl)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK1_skl)
| ~ rpoint(sK0_skl)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(sK8_skl,X0)
| ~ ron(sK8_skl,X1)
| ~ ron(sK7_skl,X0)
| ~ ron(sK1_skl,X1)
| sK8_skl = sK7_skl
| sK8_skl = sK1_skl
| ron(sK0_skl,X0)
| ron(sK0_skl,X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[f1400,f766]) ).
fof(f1565,definition,
! [X0,X1] :
( sQ69_spl
<=> ( ~ rS(sK7_skl,sK0_skl,X1)
| ~ rS(sK1_skl,sK0_skl,X0)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(sK8_skl,X0)
| ~ ron(sK8_skl,X1)
| ~ ron(sK7_skl,X0)
| ~ ron(sK1_skl,X1)
| ron(sK0_skl,X0)
| ron(sK0_skl,X1)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f1566,plain,
! [X0,X1] :
( ~ sQ69_spl
| ~ rS(sK7_skl,sK0_skl,X1)
| ~ rS(sK1_skl,sK0_skl,X0)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(sK8_skl,X0)
| ~ ron(sK8_skl,X1)
| ~ ron(sK7_skl,X0)
| ~ ron(sK1_skl,X1)
| ron(sK0_skl,X0)
| ron(sK0_skl,X1)
| X0 = X1 ),
inference(component_clause,[status(thm)],[f1565]) ).
fof(f1568,definition,
( sQ70_spl
<=> sK8_skl = sK7_skl ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f1569,plain,
( ~ sQ70_spl
| sK8_skl = sK7_skl ),
inference(component_clause,[status(thm)],[f1568]) ).
fof(f1571,plain,
( ~ sQ0_spl
| ~ sQ43_spl
| ~ sQ52_spl
| ~ sQ29_spl
| ~ sQ28_spl
| sQ70_spl
| sQ51_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f1564,f1565,f1421,f1568,f1127,f1130,f1449,f1272,f721]) ).
fof(f1584,plain,
rS(sK1_skl,sK0_skl,vd1197),
inference(forward_demodulation,[status(thm)],[f169,f1054]) ).
fof(f1585,plain,
( rS(sK0_skl,sK1_skl,vd1197)
| ~ rpoint(sK1_skl)
| ~ rpoint(sK0_skl)
| ~ rline(vd1197) ),
inference(resolution,[status(thm)],[f1584,f763]) ).
fof(f1586,definition,
( sQ71_spl
<=> rS(sK0_skl,sK1_skl,vd1197) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f1589,plain,
( sQ71_spl
| ~ sQ29_spl
| ~ sQ28_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1585,f1038,f1127,f1130,f1586]) ).
fof(f1593,plain,
( rS(sK1_skl,sK0_skl,vd1197)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK1_skl)
| ~ rline(vd1197) ),
inference(resolution,[status(thm)],[f1514,f763]) ).
fof(f1594,definition,
( sQ72_spl
<=> rS(sK1_skl,sK0_skl,vd1197) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f1597,plain,
( sQ72_spl
| ~ sQ28_spl
| ~ sQ29_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1593,f1038,f1130,f1127,f1594]) ).
fof(f1619,definition,
( sQ75_spl
<=> ron(sK7_skl,vd1232) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f1621,plain,
( sQ75_spl
| ~ ron(sK7_skl,vd1232) ),
inference(component_clause,[status(thm)],[f1619]) ).
fof(f1622,definition,
( sQ76_spl
<=> ron(sK8_skl,vd1232) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f1624,plain,
( sQ76_spl
| ~ ron(sK8_skl,vd1232) ),
inference(component_clause,[status(thm)],[f1622]) ).
fof(f1625,definition,
( sQ77_spl
<=> rline(vd1232) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f1627,plain,
( sQ77_spl
| ~ rline(vd1232) ),
inference(component_clause,[status(thm)],[f1625]) ).
fof(f1629,plain,
( sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1627,f211]) ).
fof(f1630,plain,
sQ77_spl,
inference(contradiction_clause,[status(thm)],[f1629]) ).
fof(f1631,plain,
( sQ76_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1624,f1527]) ).
fof(f1632,plain,
( sQ76_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1631]) ).
fof(f1664,plain,
ron(sK7_skl,vd1197),
inference(forward_demodulation,[status(thm)],[f202,f238]) ).
fof(f1688,definition,
( sQ86_spl
<=> sK7_skl = sK0_skl ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1689,plain,
( ~ sQ86_spl
| sK7_skl = sK0_skl ),
inference(component_clause,[status(thm)],[f1688]) ).
fof(f1708,definition,
( sQ91_spl
<=> sK8_skl = sK0_skl ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1709,plain,
( ~ sQ91_spl
| sK8_skl = sK0_skl ),
inference(component_clause,[status(thm)],[f1708]) ).
fof(f1710,plain,
( sQ91_spl
| sK8_skl != sK0_skl ),
inference(component_clause,[status(thm)],[f1708]) ).
fof(f1736,definition,
( sQ94_spl
<=> sK4_skl = sK5_skl ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1737,plain,
( ~ sQ94_spl
| sK4_skl = sK5_skl ),
inference(component_clause,[status(thm)],[f1736]) ).
fof(f1760,plain,
( ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1737,f1303]) ).
fof(f1761,plain,
~ sQ94_spl,
inference(contradiction_clause,[status(thm)],[f1760]) ).
fof(f1802,plain,
( sQ75_spl
| ~ sQ70_spl
| ~ ron(sK8_skl,vd1232) ),
inference(backward_demodulation,[status(thm)],[f1569,f1621]) ).
fof(f1815,plain,
( sQ75_spl
| ~ sQ70_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f1802,f1622,f1568,f1619]) ).
fof(f1823,definition,
( sQ107_spl
<=> ron(sK0_skl,vd1197) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1825,plain,
( sQ107_spl
| ~ ron(sK0_skl,vd1197) ),
inference(component_clause,[status(thm)],[f1823]) ).
fof(f1826,definition,
( sQ108_spl
<=> ron(sK8_skl,vd1197) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1828,plain,
( sQ108_spl
| ~ ron(sK8_skl,vd1197) ),
inference(component_clause,[status(thm)],[f1826]) ).
fof(f1830,plain,
( sQ108_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1828,f1365]) ).
fof(f1831,plain,
( sQ108_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1830]) ).
fof(f1855,definition,
( sQ109_spl
<=> rS(sK7_skl,sK8_skl,vd1197) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1856,plain,
( ~ sQ109_spl
| rS(sK7_skl,sK8_skl,vd1197) ),
inference(component_clause,[status(thm)],[f1855]) ).
fof(f1861,definition,
( sQ110_spl
<=> rS(sK8_skl,sK7_skl,vd1197) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1862,plain,
( ~ sQ110_spl
| rS(sK8_skl,sK7_skl,vd1197) ),
inference(component_clause,[status(thm)],[f1861]) ).
fof(f1863,plain,
( sQ110_spl
| ~ rS(sK8_skl,sK7_skl,vd1197) ),
inference(component_clause,[status(thm)],[f1861]) ).
fof(f1882,plain,
( ~ sQ91_spl
| ~ ron(sK8_skl,vd1232) ),
inference(forward_demodulation,[status(thm)],[f1709,f1063]) ).
fof(f1883,plain,
( ~ sQ91_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1882,f1527]) ).
fof(f1884,plain,
( ~ sQ91_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1883]) ).
fof(f1905,plain,
! [X0] :
( ~ sQ10_spl
| ~ rpoint(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f760]) ).
fof(f1908,plain,
( ~ sQ110_spl
| rS(sK7_skl,sK8_skl,vd1197)
| ~ rpoint(sK8_skl)
| ~ rpoint(sK7_skl)
| ~ rline(vd1197) ),
inference(resolution,[status(thm)],[f1862,f763]) ).
fof(f1909,plain,
( ~ sQ110_spl
| sQ109_spl
| ~ sQ43_spl
| ~ sQ52_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1908,f1038,f1449,f1272,f1855,f1861]) ).
fof(f1952,definition,
( sQ119_spl
<=> sK7_skl = sK1_skl ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1953,plain,
( ~ sQ119_spl
| sK7_skl = sK1_skl ),
inference(component_clause,[status(thm)],[f1952]) ).
fof(f1960,plain,
( ~ sQ119_spl
| sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1953,f1523]) ).
fof(f1961,plain,
( ~ sQ119_spl
| sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f1960]) ).
fof(f1987,plain,
~ sP0_prd(vd1234,sK0_skl),
inference(resolution,[status(thm)],[f690,f1064]) ).
fof(f1989,plain,
~ sP0_prd(vd1197,sK7_skl),
inference(resolution,[status(thm)],[f690,f1664]) ).
fof(f1990,plain,
~ sP0_prd(vd1232,sK1_skl),
inference(resolution,[status(thm)],[f690,f1526]) ).
fof(f2010,plain,
! [X0] :
( ~ sQ69_spl
| ~ rS(sK7_skl,sK0_skl,X0)
| ~ rline(vd1197)
| ~ rline(X0)
| ~ ron(sK8_skl,vd1197)
| ~ ron(sK8_skl,X0)
| ~ ron(sK7_skl,vd1197)
| ~ ron(sK1_skl,X0)
| ron(sK0_skl,vd1197)
| ron(sK0_skl,X0)
| vd1197 = X0 ),
inference(resolution,[status(thm)],[f1566,f1584]) ).
fof(f2011,definition,
! [X0] :
( sQ123_spl
<=> ( ~ rS(sK7_skl,sK0_skl,X0)
| ~ rline(X0)
| ~ ron(sK8_skl,X0)
| ~ ron(sK1_skl,X0)
| ron(sK0_skl,X0)
| vd1197 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f2012,plain,
! [X0] :
( ~ sQ123_spl
| ~ rS(sK7_skl,sK0_skl,X0)
| ~ rline(X0)
| ~ ron(sK8_skl,X0)
| ~ ron(sK1_skl,X0)
| ron(sK0_skl,X0)
| vd1197 = X0 ),
inference(component_clause,[status(thm)],[f2011]) ).
fof(f2014,definition,
( sQ124_spl
<=> ron(sK7_skl,vd1197) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f2016,plain,
( sQ124_spl
| ~ ron(sK7_skl,vd1197) ),
inference(component_clause,[status(thm)],[f2014]) ).
fof(f2017,plain,
( ~ sQ69_spl
| ~ sQ22_spl
| ~ sQ108_spl
| ~ sQ124_spl
| sQ107_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f2010,f2011,f1823,f2014,f1826,f1038,f1565]) ).
fof(f2018,plain,
( sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2016,f1664]) ).
fof(f2019,plain,
sQ124_spl,
inference(contradiction_clause,[status(thm)],[f2018]) ).
fof(f2024,definition,
( sQ126_spl
<=> ron(sK1_skl,vd1197) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f2025,plain,
( ~ sQ126_spl
| ron(sK1_skl,vd1197) ),
inference(component_clause,[status(thm)],[f2024]) ).
fof(f2155,plain,
~ sP1_prd(vd1197,sK7_skl),
inference(resolution,[status(thm)],[f695,f1664]) ).
fof(f2156,plain,
~ sP1_prd(vd1232,sK1_skl),
inference(resolution,[status(thm)],[f695,f1526]) ).
fof(f2162,plain,
~ sP2_prd(vd1197,sK7_skl),
inference(resolution,[status(thm)],[f700,f1664]) ).
fof(f2163,plain,
~ sP2_prd(vd1232,sK1_skl),
inference(resolution,[status(thm)],[f700,f1526]) ).
fof(f2262,definition,
( sQ150_spl
<=> sK8_skl = vd1201 ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f2263,plain,
( ~ sQ150_spl
| sK8_skl = vd1201 ),
inference(component_clause,[status(thm)],[f2262]) ).
fof(f2287,plain,
( ~ sQ150_spl
| sK8_skl = sK0_skl ),
inference(forward_demodulation,[status(thm)],[f160,f2263]) ).
fof(f2288,plain,
( ~ sQ150_spl
| sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2287,f1710]) ).
fof(f2289,plain,
( ~ sQ150_spl
| sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f2288]) ).
fof(f2291,plain,
~ sP2_prd(vd1234,sK0_skl),
inference(resolution,[status(thm)],[f1064,f700]) ).
fof(f2292,plain,
~ sP1_prd(vd1234,sK0_skl),
inference(resolution,[status(thm)],[f1064,f695]) ).
fof(f2294,plain,
rS(sK7_skl,sK0_skl,vd1232),
inference(forward_demodulation,[status(thm)],[f1519,f1062]) ).
fof(f2295,plain,
( rS(sK0_skl,sK7_skl,vd1232)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK0_skl)
| ~ rline(vd1232) ),
inference(resolution,[status(thm)],[f2294,f763]) ).
fof(f2296,definition,
( sQ156_spl
<=> rS(sK0_skl,sK7_skl,vd1232) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f2297,plain,
( ~ sQ156_spl
| rS(sK0_skl,sK7_skl,vd1232) ),
inference(component_clause,[status(thm)],[f2296]) ).
fof(f2299,plain,
( sQ156_spl
| ~ sQ52_spl
| ~ sQ28_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f2295,f1625,f1127,f1449,f2296]) ).
fof(f2300,plain,
( ~ sQ156_spl
| rS(sK7_skl,sK0_skl,vd1232)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK7_skl)
| ~ rline(vd1232) ),
inference(resolution,[status(thm)],[f2297,f763]) ).
fof(f2301,definition,
( sQ157_spl
<=> rS(sK7_skl,sK0_skl,vd1232) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f2304,plain,
( ~ sQ156_spl
| sQ157_spl
| ~ sQ28_spl
| ~ sQ52_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f2300,f1625,f1449,f1127,f2301,f2296]) ).
fof(f2305,plain,
! [X0] :
( vplus(X0,vd684) = X0
| ~ rreal(X0) ),
inference(forward_demodulation,[status(thm)],[f282,f791]) ).
fof(f2306,plain,
! [X0] :
( vplus(X0,vd684) = X0
| ~ rreal(vplus(X0,vd684))
| ~ rreal(X0)
| ~ rreal(vd684)
| ~ rreal(vplus(X0,vd684)) ),
inference(resolution,[status(thm)],[f2305,f789]) ).
fof(f2308,definition,
! [X0] :
( sQ158_spl
<=> ( vplus(X0,vd684) = X0
| ~ rreal(vplus(X0,vd684))
| ~ rreal(X0)
| ~ rreal(vplus(X0,vd684)) ) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f2311,definition,
( sQ159_spl
<=> rreal(vd684) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f2313,plain,
( sQ159_spl
| ~ rreal(vd684) ),
inference(component_clause,[status(thm)],[f2311]) ).
fof(f2314,plain,
( ~ sQ159_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f2306,f2308,f2311]) ).
fof(f2317,plain,
( sQ159_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2313,f283]) ).
fof(f2318,plain,
sQ159_spl,
inference(contradiction_clause,[status(thm)],[f2317]) ).
fof(f2600,plain,
( ~ sQ10_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f203,f1905]) ).
fof(f2607,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f2600]) ).
fof(f2864,definition,
( sQ245_spl
<=> rR(sK8_skl,sK7_skl,sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f2865,plain,
( ~ sQ245_spl
| rR(sK8_skl,sK7_skl,sK8_skl) ),
inference(component_clause,[status(thm)],[f2864]) ).
fof(f3793,plain,
( vf(sK7_skl,sK0_skl) = sK10_skl(sK4_skl,sK5_skl)
| ~ rpoint(sK5_skl)
| ~ rpoint(sK4_skl) ),
inference(paramodulation,[status(thm)],[f1545,f783]) ).
fof(f3796,definition,
( sQ342_spl
<=> vf(sK7_skl,sK0_skl) = sK10_skl(sK4_skl,sK5_skl) ),
introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition]) ).
fof(f3797,plain,
( ~ sQ342_spl
| vf(sK7_skl,sK0_skl) = sK10_skl(sK4_skl,sK5_skl) ),
inference(component_clause,[status(thm)],[f3796]) ).
fof(f3799,plain,
( sQ342_spl
| ~ sQ45_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f3793,f1480,f1340,f3796]) ).
fof(f3800,plain,
( ~ sQ342_spl
| vf(sK5_skl,sK4_skl) = sK10_skl(sK4_skl,sK5_skl) ),
inference(backward_demodulation,[status(thm)],[f3797,f1545]) ).
fof(f3801,plain,
! [X0] :
( ~ sQ342_spl
| vplus(vf(X0,sK7_skl),sK10_skl(sK4_skl,sK5_skl)) = vf(X0,sK0_skl)
| ~ rpoint(X0)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK0_skl)
| ~ rR(sK7_skl,X0,sK0_skl) ),
inference(paramodulation,[status(thm)],[f3797,f799]) ).
fof(f3802,plain,
! [X0] :
( ~ sQ342_spl
| vplus(sK10_skl(sK4_skl,sK5_skl),vf(sK0_skl,X0)) = vf(sK7_skl,X0)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| ~ rR(sK0_skl,sK7_skl,X0) ),
inference(paramodulation,[status(thm)],[f3797,f799]) ).
fof(f3803,plain,
( ~ sQ342_spl
| sK10_skl(sK4_skl,sK5_skl) = sK10_skl(sK0_skl,sK7_skl)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK0_skl) ),
inference(paramodulation,[status(thm)],[f3797,f783]) ).
fof(f3804,definition,
! [X0] :
( sQ343_spl
<=> ( vplus(vf(X0,sK7_skl),sK10_skl(sK4_skl,sK5_skl)) = vf(X0,sK0_skl)
| ~ rpoint(X0)
| ~ rR(sK7_skl,X0,sK0_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).
fof(f3807,plain,
( ~ sQ342_spl
| ~ sQ52_spl
| ~ sQ28_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f3801,f3804,f1127,f1449,f3796]) ).
fof(f3808,definition,
! [X0] :
( sQ344_spl
<=> ( vplus(sK10_skl(sK4_skl,sK5_skl),vf(sK0_skl,X0)) = vf(sK7_skl,X0)
| ~ rpoint(X0)
| ~ rR(sK0_skl,sK7_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ344_spl])],[split_symbol_definition]) ).
fof(f3811,plain,
( ~ sQ342_spl
| ~ sQ52_spl
| ~ sQ28_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f3802,f3808,f1127,f1449,f3796]) ).
fof(f3812,definition,
( sQ345_spl
<=> sK10_skl(sK4_skl,sK5_skl) = sK10_skl(sK0_skl,sK7_skl) ),
introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition]) ).
fof(f3813,plain,
( ~ sQ345_spl
| sK10_skl(sK4_skl,sK5_skl) = sK10_skl(sK0_skl,sK7_skl) ),
inference(component_clause,[status(thm)],[f3812]) ).
fof(f3815,plain,
( ~ sQ342_spl
| sQ345_spl
| ~ sQ52_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f3803,f1127,f1449,f3812,f3796]) ).
fof(f3816,plain,
! [X0] :
( ~ sQ342_spl
| vplus(vf(X0,sK5_skl),sK10_skl(sK4_skl,sK5_skl)) = vf(X0,sK4_skl)
| ~ rpoint(X0)
| ~ rpoint(sK5_skl)
| ~ rpoint(sK4_skl)
| ~ rR(sK5_skl,X0,sK4_skl) ),
inference(paramodulation,[status(thm)],[f3800,f799]) ).
fof(f3817,plain,
! [X0] :
( ~ sQ342_spl
| vplus(sK10_skl(sK4_skl,sK5_skl),vf(sK4_skl,X0)) = vf(sK5_skl,X0)
| ~ rpoint(sK5_skl)
| ~ rpoint(sK4_skl)
| ~ rpoint(X0)
| ~ rR(sK4_skl,sK5_skl,X0) ),
inference(paramodulation,[status(thm)],[f3800,f799]) ).
fof(f3818,plain,
( ~ sQ342_spl
| sK10_skl(sK4_skl,sK5_skl) = sK10_skl(sK4_skl,sK5_skl)
| ~ rpoint(sK5_skl)
| ~ rpoint(sK4_skl) ),
inference(paramodulation,[status(thm)],[f3800,f783]) ).
fof(f3819,definition,
! [X0] :
( sQ346_spl
<=> ( vplus(vf(X0,sK5_skl),sK10_skl(sK4_skl,sK5_skl)) = vf(X0,sK4_skl)
| ~ rpoint(X0)
| ~ rR(sK5_skl,X0,sK4_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition]) ).
fof(f3822,plain,
( ~ sQ342_spl
| ~ sQ45_spl
| ~ sQ58_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f3816,f3819,f1480,f1340,f3796]) ).
fof(f3823,definition,
! [X0] :
( sQ347_spl
<=> ( vplus(sK10_skl(sK4_skl,sK5_skl),vf(sK4_skl,X0)) = vf(sK5_skl,X0)
| ~ rpoint(X0)
| ~ rR(sK4_skl,sK5_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ347_spl])],[split_symbol_definition]) ).
fof(f3826,plain,
( ~ sQ342_spl
| ~ sQ45_spl
| ~ sQ58_spl
| sQ347_spl ),
inference(split_clause,[status(thm)],[f3817,f3823,f1480,f1340,f3796]) ).
fof(f3827,definition,
( sQ348_spl
<=> sK10_skl(sK4_skl,sK5_skl) = sK10_skl(sK4_skl,sK5_skl) ),
introduced(definition,[new_symbols(definition,[sQ348_spl])],[split_symbol_definition]) ).
fof(f3830,plain,
( ~ sQ342_spl
| sQ348_spl
| ~ sQ45_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f3818,f1480,f1340,f3827,f3796]) ).
fof(f3831,plain,
( ~ sQ345_spl
| rreal(sK10_skl(sK4_skl,sK5_skl))
| ~ rpoint(sK7_skl)
| ~ rpoint(sK0_skl) ),
inference(paramodulation,[status(thm)],[f3813,f784]) ).
fof(f3832,definition,
( sQ349_spl
<=> rreal(sK10_skl(sK4_skl,sK5_skl)) ),
introduced(definition,[new_symbols(definition,[sQ349_spl])],[split_symbol_definition]) ).
fof(f3835,plain,
( ~ sQ345_spl
| sQ349_spl
| ~ sQ52_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f3831,f1127,f1449,f3832,f3812]) ).
fof(f3874,plain,
! [X0,X1,X2,X3,X4] :
( rS(sK1_skl,sK0_skl,X4)
| ~ rline(X3)
| ~ rline(X4)
| ~ ron(X1,X3)
| ~ ron(X1,X4)
| ~ ron(sK1_skl,X3)
| ~ ron(X2,X4)
| ron(sK0_skl,X3)
| ron(sK0_skl,X4)
| X3 = X4
| ~ rS(X2,sK0_skl,X0)
| ~ rpoint(X1)
| ~ rpoint(sK1_skl)
| ~ rpoint(X2)
| ~ rpoint(sK0_skl)
| ~ rline(X0)
| ~ rline(vd1197)
| ~ ron(X1,X0)
| ~ ron(X1,vd1197)
| ~ ron(sK1_skl,X0)
| ~ ron(X2,vd1197)
| X1 = sK1_skl
| X1 = X2
| ron(sK0_skl,X0)
| ron(sK0_skl,vd1197)
| X0 = vd1197 ),
inference(resolution,[status(thm)],[f1026,f1584]) ).
fof(f3876,plain,
! [X0,X1,X2,X3,X4] :
( rS(sK7_skl,sK0_skl,X4)
| ~ rline(X3)
| ~ rline(X4)
| ~ ron(X1,X3)
| ~ ron(X1,X4)
| ~ ron(sK7_skl,X3)
| ~ ron(X2,X4)
| ron(sK0_skl,X3)
| ron(sK0_skl,X4)
| X3 = X4
| ~ rS(X2,sK0_skl,X0)
| ~ rpoint(X1)
| ~ rpoint(sK7_skl)
| ~ rpoint(X2)
| ~ rpoint(sK0_skl)
| ~ rline(X0)
| ~ rline(vd1232)
| ~ ron(X1,X0)
| ~ ron(X1,vd1232)
| ~ ron(sK7_skl,X0)
| ~ ron(X2,vd1232)
| X1 = sK7_skl
| X1 = X2
| ron(sK0_skl,X0)
| ron(sK0_skl,vd1232)
| X0 = vd1232 ),
inference(resolution,[status(thm)],[f1026,f2294]) ).
fof(f3877,plain,
! [X0,X1,X2,X3,X4] :
( rS(sK0_skl,sK1_skl,X4)
| ~ rline(X3)
| ~ rline(X4)
| ~ ron(X1,X3)
| ~ ron(X1,X4)
| ~ ron(sK0_skl,X3)
| ~ ron(X2,X4)
| ron(sK1_skl,X3)
| ron(sK1_skl,X4)
| X3 = X4
| ~ rS(X2,sK1_skl,X0)
| ~ rpoint(X1)
| ~ rpoint(sK0_skl)
| ~ rpoint(X2)
| ~ rpoint(sK1_skl)
| ~ rline(X0)
| ~ rline(vd1197)
| ~ ron(X1,X0)
| ~ ron(X1,vd1197)
| ~ ron(sK0_skl,X0)
| ~ ron(X2,vd1197)
| X1 = sK0_skl
| X1 = X2
| ron(sK1_skl,X0)
| ron(sK1_skl,vd1197)
| X0 = vd1197 ),
inference(resolution,[status(thm)],[f1026,f1514]) ).
fof(f3879,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ156_spl
| rS(sK0_skl,sK7_skl,X4)
| ~ rline(X3)
| ~ rline(X4)
| ~ ron(X1,X3)
| ~ ron(X1,X4)
| ~ ron(sK0_skl,X3)
| ~ ron(X2,X4)
| ron(sK7_skl,X3)
| ron(sK7_skl,X4)
| X3 = X4
| ~ rS(X2,sK7_skl,X0)
| ~ rpoint(X1)
| ~ rpoint(sK0_skl)
| ~ rpoint(X2)
| ~ rpoint(sK7_skl)
| ~ rline(X0)
| ~ rline(vd1232)
| ~ ron(X1,X0)
| ~ ron(X1,vd1232)
| ~ ron(sK0_skl,X0)
| ~ ron(X2,vd1232)
| X1 = sK0_skl
| X1 = X2
| ron(sK7_skl,X0)
| ron(sK7_skl,vd1232)
| X0 = vd1232 ),
inference(resolution,[status(thm)],[f1026,f2297]) ).
fof(f3881,definition,
! [X0,X1,X2,X3,X4] :
( sQ354_spl
<=> ( rS(sK1_skl,sK0_skl,X4)
| ~ rline(X3)
| ~ rline(X4)
| ~ ron(X1,X3)
| ~ ron(X1,X4)
| ~ ron(sK1_skl,X3)
| ~ ron(X2,X4)
| ron(sK0_skl,X3)
| ron(sK0_skl,X4)
| X3 = X4
| ~ rS(X2,sK0_skl,X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rline(X0)
| ~ ron(X1,X0)
| ~ ron(X1,vd1197)
| ~ ron(sK1_skl,X0)
| ~ ron(X2,vd1197)
| X1 = sK1_skl
| X1 = X2
| ron(sK0_skl,X0)
| X0 = vd1197 ) ),
introduced(definition,[new_symbols(definition,[sQ354_spl])],[split_symbol_definition]) ).
fof(f3884,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| ~ sQ22_spl
| sQ107_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f3874,f3881,f1823,f1038,f1127,f1130]) ).
fof(f3889,definition,
! [X0,X1,X2,X3,X4] :
( sQ356_spl
<=> ( rS(sK7_skl,sK0_skl,X4)
| ~ rline(X3)
| ~ rline(X4)
| ~ ron(X1,X3)
| ~ ron(X1,X4)
| ~ ron(sK7_skl,X3)
| ~ ron(X2,X4)
| ron(sK0_skl,X3)
| ron(sK0_skl,X4)
| X3 = X4
| ~ rS(X2,sK0_skl,X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rline(X0)
| ~ ron(X1,X0)
| ~ ron(X1,vd1232)
| ~ ron(sK7_skl,X0)
| ~ ron(X2,vd1232)
| X1 = sK7_skl
| X1 = X2
| ron(sK0_skl,X0)
| X0 = vd1232 ) ),
introduced(definition,[new_symbols(definition,[sQ356_spl])],[split_symbol_definition]) ).
fof(f3892,definition,
( sQ357_spl
<=> ron(sK0_skl,vd1232) ),
introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition]) ).
fof(f3893,plain,
( ~ sQ357_spl
| ron(sK0_skl,vd1232) ),
inference(component_clause,[status(thm)],[f3892]) ).
fof(f3895,plain,
( ~ sQ52_spl
| ~ sQ28_spl
| ~ sQ77_spl
| sQ357_spl
| sQ356_spl ),
inference(split_clause,[status(thm)],[f3876,f3889,f3892,f1625,f1127,f1449]) ).
fof(f3896,definition,
! [X0,X1,X2,X3,X4] :
( sQ358_spl
<=> ( rS(sK0_skl,sK1_skl,X4)
| ~ rline(X3)
| ~ rline(X4)
| ~ ron(X1,X3)
| ~ ron(X1,X4)
| ~ ron(sK0_skl,X3)
| ~ ron(X2,X4)
| ron(sK1_skl,X3)
| ron(sK1_skl,X4)
| X3 = X4
| ~ rS(X2,sK1_skl,X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rline(X0)
| ~ ron(X1,X0)
| ~ ron(X1,vd1197)
| ~ ron(sK0_skl,X0)
| ~ ron(X2,vd1197)
| X1 = sK0_skl
| X1 = X2
| ron(sK1_skl,X0)
| X0 = vd1197 ) ),
introduced(definition,[new_symbols(definition,[sQ358_spl])],[split_symbol_definition]) ).
fof(f3899,plain,
( ~ sQ28_spl
| ~ sQ29_spl
| ~ sQ22_spl
| sQ126_spl
| sQ358_spl ),
inference(split_clause,[status(thm)],[f3877,f3896,f2024,f1038,f1130,f1127]) ).
fof(f3904,definition,
! [X0,X1,X2,X3,X4] :
( sQ360_spl
<=> ( rS(sK0_skl,sK7_skl,X4)
| ~ rline(X3)
| ~ rline(X4)
| ~ ron(X1,X3)
| ~ ron(X1,X4)
| ~ ron(sK0_skl,X3)
| ~ ron(X2,X4)
| ron(sK7_skl,X3)
| ron(sK7_skl,X4)
| X3 = X4
| ~ rS(X2,sK7_skl,X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rline(X0)
| ~ ron(X1,X0)
| ~ ron(X1,vd1232)
| ~ ron(sK0_skl,X0)
| ~ ron(X2,vd1232)
| X1 = sK0_skl
| X1 = X2
| ron(sK7_skl,X0)
| X0 = vd1232 ) ),
introduced(definition,[new_symbols(definition,[sQ360_spl])],[split_symbol_definition]) ).
fof(f3907,plain,
( ~ sQ156_spl
| ~ sQ28_spl
| ~ sQ52_spl
| ~ sQ77_spl
| sQ75_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f3879,f3904,f1619,f1625,f1449,f1127,f2296]) ).
fof(f3963,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[f809,f982]) ).
fof(f3965,plain,
! [X0] :
( ~ sQ4_spl
| ~ rpoint(X0)
| X0 = sK1_skl ),
inference(resolution,[status(thm)],[f3963,f170]) ).
fof(f4008,plain,
( ~ sQ4_spl
| sK7_skl = sK1_skl ),
inference(resolution,[status(thm)],[f3965,f203]) ).
fof(f4010,plain,
( ~ sQ4_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f4008,f1952,f737]) ).
fof(f4129,definition,
( sQ371_spl
<=> rline(vd1234) ),
introduced(definition,[new_symbols(definition,[sQ371_spl])],[split_symbol_definition]) ).
fof(f4131,plain,
( sQ371_spl
| ~ rline(vd1234) ),
inference(component_clause,[status(thm)],[f4129]) ).
fof(f4141,plain,
( sQ371_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4131,f157]) ).
fof(f4142,plain,
sQ371_spl,
inference(contradiction_clause,[status(thm)],[f4141]) ).
fof(f4309,plain,
! [X0,X1] :
( rintersect(vd1234,X1)
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| ~ rinside(X0,vd1234)
| ~ rinside(sK0_skl,X1)
| ~ ron(X0,X1) ),
inference(resolution,[status(thm)],[f818,f1064]) ).
fof(f4311,plain,
! [X0,X1] :
( rintersect(vd1232,X1)
| ~ rpoint(sK1_skl)
| ~ rpoint(X0)
| ~ rinside(X0,vd1232)
| ~ rinside(sK1_skl,X1)
| ~ ron(X0,X1) ),
inference(resolution,[status(thm)],[f818,f1526]) ).
fof(f4313,plain,
! [X0,X1] :
( rintersect(vd1197,X1)
| ~ rpoint(sK7_skl)
| ~ rpoint(X0)
| ~ rinside(X0,vd1197)
| ~ rinside(sK7_skl,X1)
| ~ ron(X0,X1) ),
inference(resolution,[status(thm)],[f818,f1664]) ).
fof(f4324,definition,
! [X0,X1] :
( sQ388_spl
<=> ( rintersect(vd1234,X1)
| ~ rpoint(X0)
| ~ rinside(X0,vd1234)
| ~ rinside(sK0_skl,X1)
| ~ ron(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ388_spl])],[split_symbol_definition]) ).
fof(f4327,plain,
( ~ sQ28_spl
| sQ388_spl ),
inference(split_clause,[status(thm)],[f4309,f4324,f1127]) ).
fof(f4329,definition,
! [X0,X1] :
( sQ389_spl
<=> ( rintersect(vd1232,X1)
| ~ rpoint(X0)
| ~ rinside(X0,vd1232)
| ~ rinside(sK1_skl,X1)
| ~ ron(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ389_spl])],[split_symbol_definition]) ).
fof(f4332,plain,
( ~ sQ29_spl
| sQ389_spl ),
inference(split_clause,[status(thm)],[f4311,f4329,f1130]) ).
fof(f4334,definition,
! [X0,X1] :
( sQ390_spl
<=> ( rintersect(vd1197,X1)
| ~ rpoint(X0)
| ~ rinside(X0,vd1197)
| ~ rinside(sK7_skl,X1)
| ~ ron(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ390_spl])],[split_symbol_definition]) ).
fof(f4337,plain,
( ~ sQ52_spl
| sQ390_spl ),
inference(split_clause,[status(thm)],[f4313,f4334,f1449]) ).
fof(f4640,plain,
! [X0] :
( rintersect(vd1234,X0)
| ~ rpoint(sK0_skl)
| ~ rcircle(X0)
| ~ rline(vd1234)
| ~ rinside(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f821,f1064]) ).
fof(f4642,plain,
! [X0] :
( rintersect(vd1232,X0)
| ~ rpoint(sK1_skl)
| ~ rcircle(X0)
| ~ rline(vd1232)
| ~ rinside(sK1_skl,X0) ),
inference(resolution,[status(thm)],[f821,f1526]) ).
fof(f4644,plain,
! [X0] :
( rintersect(vd1197,X0)
| ~ rpoint(sK7_skl)
| ~ rcircle(X0)
| ~ rline(vd1197)
| ~ rinside(sK7_skl,X0) ),
inference(resolution,[status(thm)],[f821,f1664]) ).
fof(f4655,definition,
! [X0] :
( sQ439_spl
<=> ( rintersect(vd1234,X0)
| ~ rcircle(X0)
| ~ rinside(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ439_spl])],[split_symbol_definition]) ).
fof(f4658,plain,
( ~ sQ28_spl
| ~ sQ371_spl
| sQ439_spl ),
inference(split_clause,[status(thm)],[f4640,f4655,f4129,f1127]) ).
fof(f4660,definition,
! [X0] :
( sQ440_spl
<=> ( rintersect(vd1232,X0)
| ~ rcircle(X0)
| ~ rinside(sK1_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ440_spl])],[split_symbol_definition]) ).
fof(f4663,plain,
( ~ sQ29_spl
| ~ sQ77_spl
| sQ440_spl ),
inference(split_clause,[status(thm)],[f4642,f4660,f1625,f1130]) ).
fof(f4666,definition,
! [X0] :
( sQ441_spl
<=> ( rintersect(vd1197,X0)
| ~ rcircle(X0)
| ~ rinside(sK7_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ441_spl])],[split_symbol_definition]) ).
fof(f4669,plain,
( ~ sQ52_spl
| ~ sQ22_spl
| sQ441_spl ),
inference(split_clause,[status(thm)],[f4644,f4666,f1038,f1449]) ).
fof(f4849,plain,
! [X0] :
( sQ110_spl
| rintersect(vd1197,X0)
| ~ rpoint(sK8_skl)
| ~ rpoint(sK7_skl)
| ~ rline(vd1197)
| ~ rline(X0)
| ~ ron(sK8_skl,X0)
| ~ ron(sK7_skl,X0) ),
inference(resolution,[status(thm)],[f822,f1863]) ).
fof(f4853,definition,
! [X0] :
( sQ459_spl
<=> ( rintersect(vd1197,X0)
| ~ rline(X0)
| ~ ron(sK8_skl,X0)
| ~ ron(sK7_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ459_spl])],[split_symbol_definition]) ).
fof(f4856,plain,
( sQ110_spl
| ~ sQ43_spl
| ~ sQ52_spl
| ~ sQ22_spl
| sQ459_spl ),
inference(split_clause,[status(thm)],[f4849,f4853,f1038,f1449,f1272,f1861]) ).
fof(f4864,plain,
! [X0,X1,X2,X3] :
( ~ rcircle(X3)
| ~ rcircle(X2)
| X3 = X2
| ~ rintersect(X3,X2)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK0_skl)
| ~ ron(sK7_skl,X3)
| ~ ron(sK7_skl,X2)
| ~ ron(sK0_skl,X3)
| ~ ron(sK0_skl,X2)
| sK7_skl = sK0_skl
| ~ rcenter(X1,X3)
| ~ rcenter(X0,X2)
| ~ rline(vd1232)
| ~ ron(X1,vd1232)
| ~ ron(X0,vd1232) ),
inference(resolution,[status(thm)],[f823,f2294]) ).
fof(f4866,plain,
! [X0,X1,X2,X3] :
( ~ rcircle(X3)
| ~ rcircle(X2)
| X3 = X2
| ~ rintersect(X3,X2)
| ~ rpoint(sK1_skl)
| ~ rpoint(sK0_skl)
| ~ ron(sK1_skl,X3)
| ~ ron(sK1_skl,X2)
| ~ ron(sK0_skl,X3)
| ~ ron(sK0_skl,X2)
| sK1_skl = sK0_skl
| ~ rcenter(X1,X3)
| ~ rcenter(X0,X2)
| ~ rline(vd1197)
| ~ ron(X1,vd1197)
| ~ ron(X0,vd1197) ),
inference(resolution,[status(thm)],[f823,f1584]) ).
fof(f4872,definition,
! [X0,X1,X2,X3] :
( sQ461_spl
<=> ( ~ rcircle(X3)
| ~ rcircle(X2)
| X3 = X2
| ~ rintersect(X3,X2)
| ~ ron(sK7_skl,X3)
| ~ ron(sK7_skl,X2)
| ~ ron(sK0_skl,X3)
| ~ ron(sK0_skl,X2)
| ~ rcenter(X1,X3)
| ~ rcenter(X0,X2)
| ~ ron(X1,vd1232)
| ~ ron(X0,vd1232) ) ),
introduced(definition,[new_symbols(definition,[sQ461_spl])],[split_symbol_definition]) ).
fof(f4875,plain,
( ~ sQ52_spl
| ~ sQ28_spl
| sQ86_spl
| ~ sQ77_spl
| sQ461_spl ),
inference(split_clause,[status(thm)],[f4864,f4872,f1625,f1688,f1127,f1449]) ).
fof(f4880,definition,
! [X0,X1,X2,X3] :
( sQ463_spl
<=> ( ~ rcircle(X3)
| ~ rcircle(X2)
| X3 = X2
| ~ rintersect(X3,X2)
| ~ ron(sK1_skl,X3)
| ~ ron(sK1_skl,X2)
| ~ ron(sK0_skl,X3)
| ~ ron(sK0_skl,X2)
| ~ rcenter(X1,X3)
| ~ rcenter(X0,X2)
| ~ ron(X1,vd1197)
| ~ ron(X0,vd1197) ) ),
introduced(definition,[new_symbols(definition,[sQ463_spl])],[split_symbol_definition]) ).
fof(f4883,definition,
( sQ464_spl
<=> sK1_skl = sK0_skl ),
introduced(definition,[new_symbols(definition,[sQ464_spl])],[split_symbol_definition]) ).
fof(f4884,plain,
( ~ sQ464_spl
| sK1_skl = sK0_skl ),
inference(component_clause,[status(thm)],[f4883]) ).
fof(f4886,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| sQ464_spl
| ~ sQ22_spl
| sQ463_spl ),
inference(split_clause,[status(thm)],[f4866,f4880,f1038,f4883,f1127,f1130]) ).
fof(f4950,definition,
( sQ473_spl
<=> ron(sK1_skl,vd1232) ),
introduced(definition,[new_symbols(definition,[sQ473_spl])],[split_symbol_definition]) ).
fof(f4952,plain,
( sQ473_spl
| ~ ron(sK1_skl,vd1232) ),
inference(component_clause,[status(thm)],[f4950]) ).
fof(f4958,plain,
( ~ sQ357_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3893,f1063]) ).
fof(f4959,plain,
~ sQ357_spl,
inference(contradiction_clause,[status(thm)],[f4958]) ).
fof(f4962,definition,
! [X0] :
( sQ475_spl
<=> ( rintersect(vd1197,X0)
| ~ rline(X0)
| ~ ron(sK7_skl,X0)
| ~ ron(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ475_spl])],[split_symbol_definition]) ).
fof(f4966,plain,
! [X0] :
( sQ53_spl
| rintersect(vd1197,X0)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK7_skl)
| ~ rline(vd1197)
| ~ rline(X0)
| ~ ron(sK0_skl,X0)
| ~ ron(sK7_skl,X0) ),
inference(resolution,[status(thm)],[f1454,f822]) ).
fof(f4967,plain,
( sQ53_spl
| ~ sQ28_spl
| ~ sQ52_spl
| ~ sQ22_spl
| sQ475_spl ),
inference(split_clause,[status(thm)],[f4966,f4962,f1038,f1449,f1127,f1452]) ).
fof(f5229,plain,
! [X0,X1,X2,X3,X4] :
( rS(X0,sK0_skl,X3)
| ~ rline(X3)
| ~ rline(vd1232)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(sK7_skl)
| ~ ron(X4,X3)
| ~ ron(X4,vd1232)
| ~ ron(X4,X1)
| ~ ron(X2,X3)
| ~ ron(X0,vd1232)
| ~ ron(sK7_skl,X1)
| ~ rS(X0,sK7_skl,X3)
| ~ rS(X2,X0,X1)
| ~ rS(X0,sK0_skl,X1) ),
inference(resolution,[status(thm)],[f827,f2294]) ).
fof(f5231,plain,
! [X0,X1,X2,X3,X4] :
( rS(X0,sK0_skl,X3)
| ~ rline(X3)
| ~ rline(vd1197)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(sK1_skl)
| ~ ron(X4,X3)
| ~ ron(X4,vd1197)
| ~ ron(X4,X1)
| ~ ron(X2,X3)
| ~ ron(X0,vd1197)
| ~ ron(sK1_skl,X1)
| ~ rS(X0,sK1_skl,X3)
| ~ rS(X2,X0,X1)
| ~ rS(X0,sK0_skl,X1) ),
inference(resolution,[status(thm)],[f827,f1584]) ).
fof(f5233,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ156_spl
| rS(X0,sK7_skl,X3)
| ~ rline(X3)
| ~ rline(vd1232)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ ron(X4,X3)
| ~ ron(X4,vd1232)
| ~ ron(X4,X1)
| ~ ron(X2,X3)
| ~ ron(X0,vd1232)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK0_skl,X3)
| ~ rS(X2,X0,X1)
| ~ rS(X0,sK7_skl,X1) ),
inference(resolution,[status(thm)],[f827,f2297]) ).
fof(f5235,plain,
! [X0,X1,X2,X3,X4] :
( rS(X0,sK1_skl,X3)
| ~ rline(X3)
| ~ rline(vd1197)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ ron(X4,X3)
| ~ ron(X4,vd1197)
| ~ ron(X4,X1)
| ~ ron(X2,X3)
| ~ ron(X0,vd1197)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK0_skl,X3)
| ~ rS(X2,X0,X1)
| ~ rS(X0,sK1_skl,X1) ),
inference(resolution,[status(thm)],[f827,f1514]) ).
fof(f5240,plain,
! [X0,X1,X2,X3,X4] :
( rS(sK0_skl,X0,X3)
| ~ rline(X3)
| ~ rline(X2)
| ~ rline(vd1232)
| ~ rpoint(X4)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK0_skl)
| ~ rpoint(X1)
| ~ ron(X4,X3)
| ~ ron(X4,X2)
| ~ ron(X4,vd1232)
| ~ ron(sK7_skl,X3)
| ~ ron(sK0_skl,X2)
| ~ ron(X1,vd1232)
| ~ rS(sK0_skl,X1,X3)
| ~ rS(X1,X0,X2)
| ~ rS(sK0_skl,X0,vd1232) ),
inference(resolution,[status(thm)],[f827,f2294]) ).
fof(f5241,plain,
! [X0,X1,X2,X3,X4] :
( rS(sK0_skl,X0,X3)
| ~ rline(X3)
| ~ rline(X2)
| ~ rline(vd1197)
| ~ rpoint(X4)
| ~ rpoint(sK1_skl)
| ~ rpoint(sK0_skl)
| ~ rpoint(X1)
| ~ ron(X4,X3)
| ~ ron(X4,X2)
| ~ ron(X4,vd1197)
| ~ ron(sK1_skl,X3)
| ~ ron(sK0_skl,X2)
| ~ ron(X1,vd1197)
| ~ rS(sK0_skl,X1,X3)
| ~ rS(X1,X0,X2)
| ~ rS(sK0_skl,X0,vd1197) ),
inference(resolution,[status(thm)],[f827,f1584]) ).
fof(f5242,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ156_spl
| rS(sK7_skl,X0,X3)
| ~ rline(X3)
| ~ rline(X2)
| ~ rline(vd1232)
| ~ rpoint(X4)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK7_skl)
| ~ rpoint(X1)
| ~ ron(X4,X3)
| ~ ron(X4,X2)
| ~ ron(X4,vd1232)
| ~ ron(sK0_skl,X3)
| ~ ron(sK7_skl,X2)
| ~ ron(X1,vd1232)
| ~ rS(sK7_skl,X1,X3)
| ~ rS(X1,X0,X2)
| ~ rS(sK7_skl,X0,vd1232) ),
inference(resolution,[status(thm)],[f827,f2297]) ).
fof(f5243,plain,
! [X0,X1,X2,X3,X4] :
( rS(sK1_skl,X0,X3)
| ~ rline(X3)
| ~ rline(X2)
| ~ rline(vd1197)
| ~ rpoint(X4)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK1_skl)
| ~ rpoint(X1)
| ~ ron(X4,X3)
| ~ ron(X4,X2)
| ~ ron(X4,vd1197)
| ~ ron(sK0_skl,X3)
| ~ ron(sK1_skl,X2)
| ~ ron(X1,vd1197)
| ~ rS(sK1_skl,X1,X3)
| ~ rS(X1,X0,X2)
| ~ rS(sK1_skl,X0,vd1197) ),
inference(resolution,[status(thm)],[f827,f1514]) ).
fof(f5248,plain,
! [X0,X1,X2,X3,X4] :
( rS(sK7_skl,X0,vd1232)
| ~ rline(vd1232)
| ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK0_skl)
| ~ ron(X4,vd1232)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,vd1232)
| ~ ron(sK7_skl,X2)
| ~ ron(sK0_skl,X1)
| ~ rS(X3,sK7_skl,X1)
| ~ rS(sK0_skl,X0,X2)
| ~ rS(sK7_skl,X0,X1) ),
inference(resolution,[status(thm)],[f827,f2294]) ).
fof(f5249,plain,
! [X0,X1,X2,X3,X4] :
( rS(sK1_skl,X0,vd1197)
| ~ rline(vd1197)
| ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(sK1_skl)
| ~ rpoint(sK0_skl)
| ~ ron(X4,vd1197)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,vd1197)
| ~ ron(sK1_skl,X2)
| ~ ron(sK0_skl,X1)
| ~ rS(X3,sK1_skl,X1)
| ~ rS(sK0_skl,X0,X2)
| ~ rS(sK1_skl,X0,X1) ),
inference(resolution,[status(thm)],[f827,f1584]) ).
fof(f5250,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ156_spl
| rS(sK0_skl,X0,vd1232)
| ~ rline(vd1232)
| ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK7_skl)
| ~ ron(X4,vd1232)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,vd1232)
| ~ ron(sK0_skl,X2)
| ~ ron(sK7_skl,X1)
| ~ rS(X3,sK0_skl,X1)
| ~ rS(sK7_skl,X0,X2)
| ~ rS(sK0_skl,X0,X1) ),
inference(resolution,[status(thm)],[f827,f2297]) ).
fof(f5251,plain,
! [X0,X1,X2,X3,X4] :
( rS(sK0_skl,X0,vd1197)
| ~ rline(vd1197)
| ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK1_skl)
| ~ ron(X4,vd1197)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,vd1197)
| ~ ron(sK0_skl,X2)
| ~ ron(sK1_skl,X1)
| ~ rS(X3,sK0_skl,X1)
| ~ rS(sK1_skl,X0,X2)
| ~ rS(sK0_skl,X0,X1) ),
inference(resolution,[status(thm)],[f827,f1514]) ).
fof(f5255,definition,
( sQ503_spl
<=> rS(sK0_skl,sK0_skl,vd1232) ),
introduced(definition,[new_symbols(definition,[sQ503_spl])],[split_symbol_definition]) ).
fof(f5256,plain,
( ~ sQ503_spl
| rS(sK0_skl,sK0_skl,vd1232) ),
inference(component_clause,[status(thm)],[f5255]) ).
fof(f5257,plain,
( sQ503_spl
| ~ rS(sK0_skl,sK0_skl,vd1232) ),
inference(component_clause,[status(thm)],[f5255]) ).
fof(f5262,definition,
! [X0,X1,X2,X3,X4] :
( sQ505_spl
<=> ( rS(X0,sK0_skl,X3)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(X4,X3)
| ~ ron(X4,vd1232)
| ~ ron(X4,X1)
| ~ ron(X2,X3)
| ~ ron(X0,vd1232)
| ~ ron(sK7_skl,X1)
| ~ rS(X0,sK7_skl,X3)
| ~ rS(X2,X0,X1)
| ~ rS(X0,sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ505_spl])],[split_symbol_definition]) ).
fof(f5265,plain,
( ~ sQ77_spl
| ~ sQ52_spl
| sQ505_spl ),
inference(split_clause,[status(thm)],[f5229,f5262,f1449,f1625]) ).
fof(f5273,definition,
! [X0,X1,X2,X3,X4] :
( sQ508_spl
<=> ( rS(X0,sK0_skl,X3)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(X4,X3)
| ~ ron(X4,vd1197)
| ~ ron(X4,X1)
| ~ ron(X2,X3)
| ~ ron(X0,vd1197)
| ~ ron(sK1_skl,X1)
| ~ rS(X0,sK1_skl,X3)
| ~ rS(X2,X0,X1)
| ~ rS(X0,sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ508_spl])],[split_symbol_definition]) ).
fof(f5276,plain,
( ~ sQ22_spl
| ~ sQ29_spl
| sQ508_spl ),
inference(split_clause,[status(thm)],[f5231,f5273,f1130,f1038]) ).
fof(f5277,definition,
( sQ509_spl
<=> rS(sK7_skl,sK7_skl,vd1232) ),
introduced(definition,[new_symbols(definition,[sQ509_spl])],[split_symbol_definition]) ).
fof(f5278,plain,
( ~ sQ509_spl
| rS(sK7_skl,sK7_skl,vd1232) ),
inference(component_clause,[status(thm)],[f5277]) ).
fof(f5279,plain,
( sQ509_spl
| ~ rS(sK7_skl,sK7_skl,vd1232) ),
inference(component_clause,[status(thm)],[f5277]) ).
fof(f5284,definition,
! [X0,X1,X2,X3,X4] :
( sQ511_spl
<=> ( rS(X0,sK7_skl,X3)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(X4,X3)
| ~ ron(X4,vd1232)
| ~ ron(X4,X1)
| ~ ron(X2,X3)
| ~ ron(X0,vd1232)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK0_skl,X3)
| ~ rS(X2,X0,X1)
| ~ rS(X0,sK7_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ511_spl])],[split_symbol_definition]) ).
fof(f5287,plain,
( ~ sQ156_spl
| ~ sQ77_spl
| ~ sQ28_spl
| sQ511_spl ),
inference(split_clause,[status(thm)],[f5233,f5284,f1127,f1625,f2296]) ).
fof(f5288,definition,
( sQ512_spl
<=> rS(sK1_skl,sK1_skl,vd1197) ),
introduced(definition,[new_symbols(definition,[sQ512_spl])],[split_symbol_definition]) ).
fof(f5289,plain,
( ~ sQ512_spl
| rS(sK1_skl,sK1_skl,vd1197) ),
inference(component_clause,[status(thm)],[f5288]) ).
fof(f5290,plain,
( sQ512_spl
| ~ rS(sK1_skl,sK1_skl,vd1197) ),
inference(component_clause,[status(thm)],[f5288]) ).
fof(f5295,definition,
! [X0,X1,X2,X3,X4] :
( sQ514_spl
<=> ( rS(X0,sK1_skl,X3)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(X4,X3)
| ~ ron(X4,vd1197)
| ~ ron(X4,X1)
| ~ ron(X2,X3)
| ~ ron(X0,vd1197)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK0_skl,X3)
| ~ rS(X2,X0,X1)
| ~ rS(X0,sK1_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ514_spl])],[split_symbol_definition]) ).
fof(f5298,plain,
( ~ sQ22_spl
| ~ sQ28_spl
| sQ514_spl ),
inference(split_clause,[status(thm)],[f5235,f5295,f1127,f1038]) ).
fof(f5300,definition,
! [X0,X1,X2,X3,X4] :
( sQ515_spl
<=> ( rS(sK0_skl,X0,X3)
| ~ rline(X3)
| ~ rline(X2)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ ron(X4,X3)
| ~ ron(X4,X2)
| ~ ron(X4,vd1232)
| ~ ron(sK7_skl,X3)
| ~ ron(sK0_skl,X2)
| ~ ron(X1,vd1232)
| ~ rS(sK0_skl,X1,X3)
| ~ rS(X1,X0,X2)
| ~ rS(sK0_skl,X0,vd1232) ) ),
introduced(definition,[new_symbols(definition,[sQ515_spl])],[split_symbol_definition]) ).
fof(f5303,plain,
( ~ sQ77_spl
| ~ sQ52_spl
| ~ sQ28_spl
| sQ515_spl ),
inference(split_clause,[status(thm)],[f5240,f5300,f1127,f1449,f1625]) ).
fof(f5304,definition,
! [X0,X1,X2,X3,X4] :
( sQ516_spl
<=> ( rS(sK0_skl,X0,X3)
| ~ rline(X3)
| ~ rline(X2)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ ron(X4,X3)
| ~ ron(X4,X2)
| ~ ron(X4,vd1197)
| ~ ron(sK1_skl,X3)
| ~ ron(sK0_skl,X2)
| ~ ron(X1,vd1197)
| ~ rS(sK0_skl,X1,X3)
| ~ rS(X1,X0,X2)
| ~ rS(sK0_skl,X0,vd1197) ) ),
introduced(definition,[new_symbols(definition,[sQ516_spl])],[split_symbol_definition]) ).
fof(f5307,plain,
( ~ sQ22_spl
| ~ sQ29_spl
| ~ sQ28_spl
| sQ516_spl ),
inference(split_clause,[status(thm)],[f5241,f5304,f1127,f1130,f1038]) ).
fof(f5308,definition,
! [X0,X1,X2,X3,X4] :
( sQ517_spl
<=> ( rS(sK7_skl,X0,X3)
| ~ rline(X3)
| ~ rline(X2)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ ron(X4,X3)
| ~ ron(X4,X2)
| ~ ron(X4,vd1232)
| ~ ron(sK0_skl,X3)
| ~ ron(sK7_skl,X2)
| ~ ron(X1,vd1232)
| ~ rS(sK7_skl,X1,X3)
| ~ rS(X1,X0,X2)
| ~ rS(sK7_skl,X0,vd1232) ) ),
introduced(definition,[new_symbols(definition,[sQ517_spl])],[split_symbol_definition]) ).
fof(f5311,plain,
( ~ sQ156_spl
| ~ sQ77_spl
| ~ sQ28_spl
| ~ sQ52_spl
| sQ517_spl ),
inference(split_clause,[status(thm)],[f5242,f5308,f1449,f1127,f1625,f2296]) ).
fof(f5312,definition,
! [X0,X1,X2,X3,X4] :
( sQ518_spl
<=> ( rS(sK1_skl,X0,X3)
| ~ rline(X3)
| ~ rline(X2)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ ron(X4,X3)
| ~ ron(X4,X2)
| ~ ron(X4,vd1197)
| ~ ron(sK0_skl,X3)
| ~ ron(sK1_skl,X2)
| ~ ron(X1,vd1197)
| ~ rS(sK1_skl,X1,X3)
| ~ rS(X1,X0,X2)
| ~ rS(sK1_skl,X0,vd1197) ) ),
introduced(definition,[new_symbols(definition,[sQ518_spl])],[split_symbol_definition]) ).
fof(f5315,plain,
( ~ sQ22_spl
| ~ sQ28_spl
| ~ sQ29_spl
| sQ518_spl ),
inference(split_clause,[status(thm)],[f5243,f5312,f1130,f1127,f1038]) ).
fof(f5318,definition,
! [X0,X1,X2,X3,X4] :
( sQ519_spl
<=> ( rS(sK7_skl,X0,vd1232)
| ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ ron(X4,vd1232)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,vd1232)
| ~ ron(sK7_skl,X2)
| ~ ron(sK0_skl,X1)
| ~ rS(X3,sK7_skl,X1)
| ~ rS(sK0_skl,X0,X2)
| ~ rS(sK7_skl,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ519_spl])],[split_symbol_definition]) ).
fof(f5321,plain,
( ~ sQ77_spl
| ~ sQ52_spl
| ~ sQ28_spl
| sQ519_spl ),
inference(split_clause,[status(thm)],[f5248,f5318,f1127,f1449,f1625]) ).
fof(f5322,definition,
! [X0,X1,X2,X3,X4] :
( sQ520_spl
<=> ( rS(sK1_skl,X0,vd1197)
| ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ ron(X4,vd1197)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,vd1197)
| ~ ron(sK1_skl,X2)
| ~ ron(sK0_skl,X1)
| ~ rS(X3,sK1_skl,X1)
| ~ rS(sK0_skl,X0,X2)
| ~ rS(sK1_skl,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ520_spl])],[split_symbol_definition]) ).
fof(f5325,plain,
( ~ sQ22_spl
| ~ sQ29_spl
| ~ sQ28_spl
| sQ520_spl ),
inference(split_clause,[status(thm)],[f5249,f5322,f1127,f1130,f1038]) ).
fof(f5326,definition,
! [X0,X1,X2,X3,X4] :
( sQ521_spl
<=> ( rS(sK0_skl,X0,vd1232)
| ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ ron(X4,vd1232)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,vd1232)
| ~ ron(sK0_skl,X2)
| ~ ron(sK7_skl,X1)
| ~ rS(X3,sK0_skl,X1)
| ~ rS(sK7_skl,X0,X2)
| ~ rS(sK0_skl,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ521_spl])],[split_symbol_definition]) ).
fof(f5329,plain,
( ~ sQ156_spl
| ~ sQ77_spl
| ~ sQ28_spl
| ~ sQ52_spl
| sQ521_spl ),
inference(split_clause,[status(thm)],[f5250,f5326,f1449,f1127,f1625,f2296]) ).
fof(f5330,definition,
! [X0,X1,X2,X3,X4] :
( sQ522_spl
<=> ( rS(sK0_skl,X0,vd1197)
| ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ ron(X4,vd1197)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,vd1197)
| ~ ron(sK0_skl,X2)
| ~ ron(sK1_skl,X1)
| ~ rS(X3,sK0_skl,X1)
| ~ rS(sK1_skl,X0,X2)
| ~ rS(sK0_skl,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ522_spl])],[split_symbol_definition]) ).
fof(f5333,plain,
( ~ sQ22_spl
| ~ sQ28_spl
| ~ sQ29_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f5251,f5330,f1130,f1127,f1038]) ).
fof(f5342,plain,
( sQ473_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4952,f1526]) ).
fof(f5343,plain,
sQ473_spl,
inference(contradiction_clause,[status(thm)],[f5342]) ).
fof(f5372,plain,
( ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2025,f1057]) ).
fof(f5373,plain,
~ sQ126_spl,
inference(contradiction_clause,[status(thm)],[f5372]) ).
fof(f5383,definition,
( sQ523_spl
<=> sP2_prd(vd1234,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ523_spl])],[split_symbol_definition]) ).
fof(f5384,plain,
( ~ sQ523_spl
| sP2_prd(vd1234,sK0_skl) ),
inference(component_clause,[status(thm)],[f5383]) ).
fof(f5390,definition,
( sQ525_spl
<=> sP1_prd(vd1234,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ525_spl])],[split_symbol_definition]) ).
fof(f5391,plain,
( ~ sQ525_spl
| sP1_prd(vd1234,sK0_skl) ),
inference(component_clause,[status(thm)],[f5390]) ).
fof(f5394,definition,
( sQ526_spl
<=> sP0_prd(vd1234,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ526_spl])],[split_symbol_definition]) ).
fof(f5395,plain,
( ~ sQ526_spl
| sP0_prd(vd1234,sK0_skl) ),
inference(component_clause,[status(thm)],[f5394]) ).
fof(f5398,plain,
( ~ sQ526_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5395,f1987]) ).
fof(f5399,plain,
~ sQ526_spl,
inference(contradiction_clause,[status(thm)],[f5398]) ).
fof(f5400,plain,
( ~ sQ525_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5391,f2292]) ).
fof(f5401,plain,
~ sQ525_spl,
inference(contradiction_clause,[status(thm)],[f5400]) ).
fof(f5402,plain,
( ~ sQ523_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5384,f2291]) ).
fof(f5403,plain,
~ sQ523_spl,
inference(contradiction_clause,[status(thm)],[f5402]) ).
fof(f5447,plain,
( ~ sQ464_spl
| ~ ron(sK1_skl,vd1232) ),
inference(backward_demodulation,[status(thm)],[f4884,f1063]) ).
fof(f5461,plain,
( ~ sQ464_spl
| ~ sQ473_spl ),
inference(split_clause,[status(thm)],[f5447,f4950,f4883]) ).
fof(f5493,definition,
( sQ529_spl
<=> sP2_prd(vd1197,sK7_skl) ),
introduced(definition,[new_symbols(definition,[sQ529_spl])],[split_symbol_definition]) ).
fof(f5494,plain,
( ~ sQ529_spl
| sP2_prd(vd1197,sK7_skl) ),
inference(component_clause,[status(thm)],[f5493]) ).
fof(f5497,definition,
( sQ530_spl
<=> sP1_prd(vd1197,sK7_skl) ),
introduced(definition,[new_symbols(definition,[sQ530_spl])],[split_symbol_definition]) ).
fof(f5498,plain,
( ~ sQ530_spl
| sP1_prd(vd1197,sK7_skl) ),
inference(component_clause,[status(thm)],[f5497]) ).
fof(f5501,definition,
( sQ531_spl
<=> sP0_prd(vd1197,sK7_skl) ),
introduced(definition,[new_symbols(definition,[sQ531_spl])],[split_symbol_definition]) ).
fof(f5502,plain,
( ~ sQ531_spl
| sP0_prd(vd1197,sK7_skl) ),
inference(component_clause,[status(thm)],[f5501]) ).
fof(f5505,plain,
( ~ sQ531_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5502,f1989]) ).
fof(f5506,plain,
~ sQ531_spl,
inference(contradiction_clause,[status(thm)],[f5505]) ).
fof(f5507,plain,
( ~ sQ530_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5498,f2155]) ).
fof(f5508,plain,
~ sQ530_spl,
inference(contradiction_clause,[status(thm)],[f5507]) ).
fof(f5509,plain,
( ~ sQ529_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5494,f2162]) ).
fof(f5510,plain,
~ sQ529_spl,
inference(contradiction_clause,[status(thm)],[f5509]) ).
fof(f5691,plain,
! [X0,X1,X2,X3] :
( ~ sQ50_spl
| rR(X2,sK1_skl,sK0_skl)
| ~ rpoint(sK1_skl)
| ~ rpoint(X2)
| ~ rpoint(sK0_skl)
| sK1_skl = X2
| sK1_skl = sK0_skl
| X2 = sK0_skl
| ~ rline(X0)
| ~ rline(X3)
| X0 = X3
| ~ ron(sK1_skl,X3)
| ~ ron(sK0_skl,X3)
| ~ ron(X2,X3)
| ~ ron(X2,X0)
| ~ rS(sK8_skl,sK0_skl,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(sK8_skl,X1)
| ~ ron(sK8_skl,X0)
| ~ ron(sK1_skl,X1)
| ron(sK0_skl,X0)
| ron(sK0_skl,X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[f1445,f830]) ).
fof(f5693,definition,
! [X0,X1,X2,X3] :
( sQ535_spl
<=> ( rR(X2,sK1_skl,sK0_skl)
| ~ rpoint(X2)
| sK1_skl = X2
| X2 = sK0_skl
| ~ rline(X0)
| ~ rline(X3)
| X0 = X3
| ~ ron(sK1_skl,X3)
| ~ ron(sK0_skl,X3)
| ~ ron(X2,X3)
| ~ ron(X2,X0)
| ~ rS(sK8_skl,sK0_skl,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(sK8_skl,X1)
| ~ ron(sK8_skl,X0)
| ~ ron(sK1_skl,X1)
| ron(sK0_skl,X0)
| ron(sK0_skl,X1)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ535_spl])],[split_symbol_definition]) ).
fof(f5694,plain,
! [X0,X1,X2,X3] :
( ~ sQ535_spl
| rR(X2,sK1_skl,sK0_skl)
| ~ rpoint(X2)
| sK1_skl = X2
| X2 = sK0_skl
| ~ rline(X0)
| ~ rline(X3)
| X0 = X3
| ~ ron(sK1_skl,X3)
| ~ ron(sK0_skl,X3)
| ~ ron(X2,X3)
| ~ ron(X2,X0)
| ~ rS(sK8_skl,sK0_skl,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(sK8_skl,X1)
| ~ ron(sK8_skl,X0)
| ~ ron(sK1_skl,X1)
| ron(sK0_skl,X0)
| ron(sK0_skl,X1)
| X0 = X1 ),
inference(component_clause,[status(thm)],[f5693]) ).
fof(f5696,plain,
( ~ sQ50_spl
| ~ sQ29_spl
| ~ sQ28_spl
| sQ464_spl
| sQ535_spl ),
inference(split_clause,[status(thm)],[f5691,f5693,f4883,f1127,f1130,f1418]) ).
fof(f5701,plain,
! [X0,X1,X2,X3] :
( ~ sQ535_spl
| rR(X2,sK1_skl,sK0_skl)
| ~ rpoint(X2)
| sK1_skl = X2
| X2 = sK0_skl
| ~ rline(X3)
| X0 = X3
| ~ ron(sK1_skl,X3)
| ~ ron(sK0_skl,X3)
| ~ ron(X2,X3)
| ~ ron(X2,X0)
| ~ rS(sK8_skl,sK0_skl,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(sK8_skl,X1)
| ~ ron(sK8_skl,X0)
| ~ ron(sK1_skl,X1)
| ron(sK0_skl,X0)
| ron(sK0_skl,X1)
| X0 = X1 ),
inference(duplicate_literals_removal,[status(thm)],[f5694]) ).
fof(f5778,plain,
! [X0] :
( rS(sK1_skl,X0,vd1197)
| ~ rpoint(sK1_skl)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ rline(vd1197)
| ~ rR(X0,sK1_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f1584,f833]) ).
fof(f5779,plain,
! [X0] :
( ~ rpoint(sK1_skl)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ rline(vd1197)
| ~ rR(X0,sK1_skl,sK0_skl)
| ~ ron(X0,vd1197) ),
inference(resolution,[status(thm)],[f1584,f831]) ).
fof(f5781,plain,
! [X0,X1,X2,X3] :
( ~ rline(X2)
| ~ rline(vd1197)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(sK1_skl)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ ron(X3,X2)
| ~ ron(X3,vd1197)
| ~ ron(X3,X1)
| ~ ron(sK1_skl,X2)
| ~ ron(X0,X1)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK0_skl,X2)
| ~ rS(sK1_skl,X0,X1) ),
inference(resolution,[status(thm)],[f1584,f829]) ).
fof(f5783,plain,
! [X0,X1,X2,X3] :
( ~ rS(X0,sK0_skl,X3)
| ~ rline(vd1197)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(sK1_skl)
| ~ rpoint(sK0_skl)
| ~ ron(X2,vd1197)
| ~ ron(X2,X3)
| ~ ron(X2,X1)
| ~ ron(X0,vd1197)
| ~ ron(sK1_skl,X1)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK1_skl,X1) ),
inference(resolution,[status(thm)],[f1584,f829]) ).
fof(f5784,plain,
! [X0,X1,X2,X3] :
( rS(X0,sK1_skl,X3)
| ~ rline(vd1197)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK1_skl)
| ~ rpoint(sK0_skl)
| ~ ron(X1,vd1197)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X0,vd1197)
| ~ ron(sK1_skl,X2)
| ~ ron(sK0_skl,X3)
| rS(X0,sK0_skl,X2)
| ron(sK0_skl,X2)
| X0 = X1 ),
inference(resolution,[status(thm)],[f1584,f828]) ).
fof(f5792,definition,
! [X0] :
( sQ548_spl
<=> ( rS(sK1_skl,X0,vd1197)
| ~ rpoint(X0)
| ~ rR(X0,sK1_skl,sK0_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ548_spl])],[split_symbol_definition]) ).
fof(f5795,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| ~ sQ22_spl
| sQ548_spl ),
inference(split_clause,[status(thm)],[f5778,f5792,f1038,f1127,f1130]) ).
fof(f5796,definition,
! [X0] :
( sQ549_spl
<=> ( ~ rpoint(X0)
| ~ rR(X0,sK1_skl,sK0_skl)
| ~ ron(X0,vd1197) ) ),
introduced(definition,[new_symbols(definition,[sQ549_spl])],[split_symbol_definition]) ).
fof(f5799,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| ~ sQ22_spl
| sQ549_spl ),
inference(split_clause,[status(thm)],[f5779,f5796,f1038,f1127,f1130]) ).
fof(f5804,definition,
! [X0,X1,X2,X3] :
( sQ551_spl
<=> ( ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ ron(X3,X2)
| ~ ron(X3,vd1197)
| ~ ron(X3,X1)
| ~ ron(sK1_skl,X2)
| ~ ron(X0,X1)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK0_skl,X2)
| ~ rS(sK1_skl,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ551_spl])],[split_symbol_definition]) ).
fof(f5807,plain,
( ~ sQ22_spl
| ~ sQ29_spl
| ~ sQ28_spl
| sQ551_spl ),
inference(split_clause,[status(thm)],[f5781,f5804,f1127,f1130,f1038]) ).
fof(f5809,definition,
! [X0,X1,X2,X3] :
( sQ552_spl
<=> ( ~ rS(X0,sK0_skl,X3)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(X2,vd1197)
| ~ ron(X2,X3)
| ~ ron(X2,X1)
| ~ ron(X0,vd1197)
| ~ ron(sK1_skl,X1)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK1_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ552_spl])],[split_symbol_definition]) ).
fof(f5812,plain,
( ~ sQ22_spl
| ~ sQ29_spl
| ~ sQ28_spl
| sQ552_spl ),
inference(split_clause,[status(thm)],[f5783,f5809,f1127,f1130,f1038]) ).
fof(f5813,definition,
! [X0,X1,X2,X3] :
( sQ553_spl
<=> ( rS(X0,sK1_skl,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ ron(X1,vd1197)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X0,vd1197)
| ~ ron(sK1_skl,X2)
| ~ ron(sK0_skl,X3)
| rS(X0,sK0_skl,X2)
| ron(sK0_skl,X2)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ553_spl])],[split_symbol_definition]) ).
fof(f5816,plain,
( ~ sQ22_spl
| ~ sQ29_spl
| ~ sQ28_spl
| sQ553_spl ),
inference(split_clause,[status(thm)],[f5784,f5813,f1127,f1130,f1038]) ).
fof(f5824,plain,
! [X0] :
( rS(sK0_skl,X0,vd1197)
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| ~ rpoint(sK1_skl)
| ~ rline(vd1197)
| ~ rR(X0,sK0_skl,sK1_skl) ),
inference(resolution,[status(thm)],[f1514,f833]) ).
fof(f5825,plain,
! [X0] :
( ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| ~ rpoint(sK1_skl)
| ~ rline(vd1197)
| ~ rR(X0,sK0_skl,sK1_skl)
| ~ ron(X0,vd1197) ),
inference(resolution,[status(thm)],[f1514,f831]) ).
fof(f5827,plain,
! [X0,X1,X2,X3] :
( ~ rline(X2)
| ~ rline(vd1197)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| ~ rpoint(sK1_skl)
| ~ ron(X3,X2)
| ~ ron(X3,vd1197)
| ~ ron(X3,X1)
| ~ ron(sK0_skl,X2)
| ~ ron(X0,X1)
| ~ ron(sK1_skl,X1)
| ~ rS(X0,sK1_skl,X2)
| ~ rS(sK0_skl,X0,X1) ),
inference(resolution,[status(thm)],[f1514,f829]) ).
fof(f5829,plain,
! [X0,X1,X2,X3] :
( ~ rS(X0,sK1_skl,X3)
| ~ rline(vd1197)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK1_skl)
| ~ ron(X2,vd1197)
| ~ ron(X2,X3)
| ~ ron(X2,X1)
| ~ ron(X0,vd1197)
| ~ ron(sK0_skl,X1)
| ~ ron(sK1_skl,X1)
| ~ rS(X0,sK0_skl,X1) ),
inference(resolution,[status(thm)],[f1514,f829]) ).
fof(f5830,plain,
! [X0,X1,X2,X3] :
( rS(X0,sK0_skl,X3)
| ~ rline(vd1197)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK1_skl)
| ~ ron(X1,vd1197)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X0,vd1197)
| ~ ron(sK0_skl,X2)
| ~ ron(sK1_skl,X3)
| rS(X0,sK1_skl,X2)
| ron(sK1_skl,X2)
| X0 = X1 ),
inference(resolution,[status(thm)],[f1514,f828]) ).
fof(f5838,definition,
! [X0] :
( sQ554_spl
<=> ( rS(sK0_skl,X0,vd1197)
| ~ rpoint(X0)
| ~ rR(X0,sK0_skl,sK1_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ554_spl])],[split_symbol_definition]) ).
fof(f5841,plain,
( ~ sQ28_spl
| ~ sQ29_spl
| ~ sQ22_spl
| sQ554_spl ),
inference(split_clause,[status(thm)],[f5824,f5838,f1038,f1130,f1127]) ).
fof(f5842,definition,
! [X0] :
( sQ555_spl
<=> ( ~ rpoint(X0)
| ~ rR(X0,sK0_skl,sK1_skl)
| ~ ron(X0,vd1197) ) ),
introduced(definition,[new_symbols(definition,[sQ555_spl])],[split_symbol_definition]) ).
fof(f5845,plain,
( ~ sQ28_spl
| ~ sQ29_spl
| ~ sQ22_spl
| sQ555_spl ),
inference(split_clause,[status(thm)],[f5825,f5842,f1038,f1130,f1127]) ).
fof(f5850,definition,
! [X0,X1,X2,X3] :
( sQ557_spl
<=> ( ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ ron(X3,X2)
| ~ ron(X3,vd1197)
| ~ ron(X3,X1)
| ~ ron(sK0_skl,X2)
| ~ ron(X0,X1)
| ~ ron(sK1_skl,X1)
| ~ rS(X0,sK1_skl,X2)
| ~ rS(sK0_skl,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ557_spl])],[split_symbol_definition]) ).
fof(f5853,plain,
( ~ sQ22_spl
| ~ sQ28_spl
| ~ sQ29_spl
| sQ557_spl ),
inference(split_clause,[status(thm)],[f5827,f5850,f1130,f1127,f1038]) ).
fof(f5855,definition,
! [X0,X1,X2,X3] :
( sQ558_spl
<=> ( ~ rS(X0,sK1_skl,X3)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(X2,vd1197)
| ~ ron(X2,X3)
| ~ ron(X2,X1)
| ~ ron(X0,vd1197)
| ~ ron(sK0_skl,X1)
| ~ ron(sK1_skl,X1)
| ~ rS(X0,sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ558_spl])],[split_symbol_definition]) ).
fof(f5858,plain,
( ~ sQ22_spl
| ~ sQ28_spl
| ~ sQ29_spl
| sQ558_spl ),
inference(split_clause,[status(thm)],[f5829,f5855,f1130,f1127,f1038]) ).
fof(f5859,definition,
! [X0,X1,X2,X3] :
( sQ559_spl
<=> ( rS(X0,sK0_skl,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ ron(X1,vd1197)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X0,vd1197)
| ~ ron(sK0_skl,X2)
| ~ ron(sK1_skl,X3)
| rS(X0,sK1_skl,X2)
| ron(sK1_skl,X2)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ559_spl])],[split_symbol_definition]) ).
fof(f5862,plain,
( ~ sQ22_spl
| ~ sQ28_spl
| ~ sQ29_spl
| sQ559_spl ),
inference(split_clause,[status(thm)],[f5830,f5859,f1130,f1127,f1038]) ).
fof(f5951,plain,
! [X0] :
( rS(sK1_skl,X0,vd1197)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK1_skl)
| ~ rpoint(X0)
| ~ rline(vd1197)
| ~ rS(sK0_skl,X0,vd1197) ),
inference(resolution,[status(thm)],[f835,f1514]) ).
fof(f5952,plain,
! [X0] :
( rS(sK0_skl,X0,vd1197)
| ~ rpoint(sK1_skl)
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| ~ rline(vd1197)
| ~ rS(sK1_skl,X0,vd1197) ),
inference(resolution,[status(thm)],[f835,f1584]) ).
fof(f5960,definition,
! [X0] :
( sQ560_spl
<=> ( rS(sK1_skl,X0,vd1197)
| ~ rpoint(X0)
| ~ rS(sK0_skl,X0,vd1197) ) ),
introduced(definition,[new_symbols(definition,[sQ560_spl])],[split_symbol_definition]) ).
fof(f5963,plain,
( ~ sQ28_spl
| ~ sQ29_spl
| ~ sQ22_spl
| sQ560_spl ),
inference(split_clause,[status(thm)],[f5951,f5960,f1038,f1130,f1127]) ).
fof(f5964,definition,
! [X0] :
( sQ561_spl
<=> ( rS(sK0_skl,X0,vd1197)
| ~ rpoint(X0)
| ~ rS(sK1_skl,X0,vd1197) ) ),
introduced(definition,[new_symbols(definition,[sQ561_spl])],[split_symbol_definition]) ).
fof(f5967,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| ~ sQ22_spl
| sQ561_spl ),
inference(split_clause,[status(thm)],[f5952,f5964,f1038,f1127,f1130]) ).
fof(f5974,plain,
( ~ ron(sK0_skl,vd1197)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK1_skl)
| ~ rline(vd1197) ),
inference(resolution,[status(thm)],[f836,f1514]) ).
fof(f5983,plain,
( ~ sQ107_spl
| ~ sQ28_spl
| ~ sQ29_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f5974,f1038,f1130,f1127,f1823]) ).
fof(f5987,plain,
( sQ107_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1825,f1074]) ).
fof(f5988,plain,
( sQ107_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f5987]) ).
fof(f6041,plain,
! [X0,X1] :
( sQ53_spl
| rR(X0,sK0_skl,sK7_skl)
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| ~ rpoint(sK7_skl)
| sK0_skl = X0
| sK0_skl = sK7_skl
| X0 = sK7_skl
| ~ rline(vd1197)
| ~ rline(X1)
| vd1197 = X1
| ~ ron(sK0_skl,X1)
| ~ ron(sK7_skl,X1)
| ~ ron(X0,X1)
| ~ ron(X0,vd1197) ),
inference(resolution,[status(thm)],[f1454,f830]) ).
fof(f6053,definition,
! [X0,X1] :
( sQ568_spl
<=> ( rR(X0,sK0_skl,sK7_skl)
| ~ rpoint(X0)
| sK0_skl = X0
| X0 = sK7_skl
| ~ rline(X1)
| vd1197 = X1
| ~ ron(sK0_skl,X1)
| ~ ron(sK7_skl,X1)
| ~ ron(X0,X1)
| ~ ron(X0,vd1197) ) ),
introduced(definition,[new_symbols(definition,[sQ568_spl])],[split_symbol_definition]) ).
fof(f6056,plain,
( sQ53_spl
| ~ sQ28_spl
| ~ sQ52_spl
| sQ86_spl
| ~ sQ22_spl
| sQ568_spl ),
inference(split_clause,[status(thm)],[f6041,f6053,f1038,f1688,f1449,f1127,f1452]) ).
fof(f6062,plain,
! [X0,X1] :
( sQ55_spl
| rR(X0,sK7_skl,sK0_skl)
| ~ rpoint(sK7_skl)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| sK7_skl = X0
| sK7_skl = sK0_skl
| X0 = sK0_skl
| ~ rline(vd1197)
| ~ rline(X1)
| vd1197 = X1
| ~ ron(sK7_skl,X1)
| ~ ron(sK0_skl,X1)
| ~ ron(X0,X1)
| ~ ron(X0,vd1197) ),
inference(resolution,[status(thm)],[f1464,f830]) ).
fof(f6064,definition,
( sQ569_spl
<=> rS(sK7_skl,sK7_skl,vd1197) ),
introduced(definition,[new_symbols(definition,[sQ569_spl])],[split_symbol_definition]) ).
fof(f6065,plain,
( ~ sQ569_spl
| rS(sK7_skl,sK7_skl,vd1197) ),
inference(component_clause,[status(thm)],[f6064]) ).
fof(f6066,plain,
( sQ569_spl
| ~ rS(sK7_skl,sK7_skl,vd1197) ),
inference(component_clause,[status(thm)],[f6064]) ).
fof(f6074,definition,
! [X0,X1] :
( sQ571_spl
<=> ( rR(X0,sK7_skl,sK0_skl)
| ~ rpoint(X0)
| sK7_skl = X0
| X0 = sK0_skl
| ~ rline(X1)
| vd1197 = X1
| ~ ron(sK7_skl,X1)
| ~ ron(sK0_skl,X1)
| ~ ron(X0,X1)
| ~ ron(X0,vd1197) ) ),
introduced(definition,[new_symbols(definition,[sQ571_spl])],[split_symbol_definition]) ).
fof(f6077,plain,
( sQ55_spl
| ~ sQ52_spl
| ~ sQ28_spl
| sQ86_spl
| ~ sQ22_spl
| sQ571_spl ),
inference(split_clause,[status(thm)],[f6062,f6074,f1038,f1688,f1127,f1449,f1462]) ).
fof(f6130,plain,
! [X0] :
( ~ sQ156_spl
| rS(sK7_skl,X0,vd1232)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK7_skl)
| ~ rpoint(X0)
| ~ rline(vd1232)
| ~ rS(sK0_skl,X0,vd1232) ),
inference(resolution,[status(thm)],[f2297,f835]) ).
fof(f6131,plain,
! [X0] :
( ~ sQ156_spl
| rS(sK0_skl,X0,vd1232)
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| ~ rpoint(sK7_skl)
| ~ rline(vd1232)
| ~ rR(X0,sK0_skl,sK7_skl) ),
inference(resolution,[status(thm)],[f2297,f833]) ).
fof(f6132,plain,
! [X0] :
( ~ sQ156_spl
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| ~ rpoint(sK7_skl)
| ~ rline(vd1232)
| ~ rR(X0,sK0_skl,sK7_skl)
| ~ ron(X0,vd1232) ),
inference(resolution,[status(thm)],[f2297,f831]) ).
fof(f6134,plain,
! [X0,X1,X2,X3] :
( ~ sQ156_spl
| ~ rline(X2)
| ~ rline(vd1232)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| ~ rpoint(sK7_skl)
| ~ ron(X3,X2)
| ~ ron(X3,vd1232)
| ~ ron(X3,X1)
| ~ ron(sK0_skl,X2)
| ~ ron(X0,X1)
| ~ ron(sK7_skl,X1)
| ~ rS(X0,sK7_skl,X2)
| ~ rS(sK0_skl,X0,X1) ),
inference(resolution,[status(thm)],[f2297,f829]) ).
fof(f6136,plain,
! [X0,X1,X2,X3] :
( ~ sQ156_spl
| ~ rS(X0,sK7_skl,X3)
| ~ rline(vd1232)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK7_skl)
| ~ ron(X2,vd1232)
| ~ ron(X2,X3)
| ~ ron(X2,X1)
| ~ ron(X0,vd1232)
| ~ ron(sK0_skl,X1)
| ~ ron(sK7_skl,X1)
| ~ rS(X0,sK0_skl,X1) ),
inference(resolution,[status(thm)],[f2297,f829]) ).
fof(f6137,plain,
! [X0,X1,X2,X3] :
( ~ sQ156_spl
| rS(X0,sK0_skl,X3)
| ~ rline(vd1232)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK7_skl)
| ~ ron(X1,vd1232)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X0,vd1232)
| ~ ron(sK0_skl,X2)
| ~ ron(sK7_skl,X3)
| rS(X0,sK7_skl,X2)
| ron(sK7_skl,X2)
| X0 = X1 ),
inference(resolution,[status(thm)],[f2297,f828]) ).
fof(f6146,definition,
! [X0] :
( sQ577_spl
<=> ( rS(sK7_skl,X0,vd1232)
| ~ rpoint(X0)
| ~ rS(sK0_skl,X0,vd1232) ) ),
introduced(definition,[new_symbols(definition,[sQ577_spl])],[split_symbol_definition]) ).
fof(f6149,plain,
( ~ sQ156_spl
| ~ sQ28_spl
| ~ sQ52_spl
| ~ sQ77_spl
| sQ577_spl ),
inference(split_clause,[status(thm)],[f6130,f6146,f1625,f1449,f1127,f2296]) ).
fof(f6150,definition,
! [X0] :
( sQ578_spl
<=> ( rS(sK0_skl,X0,vd1232)
| ~ rpoint(X0)
| ~ rR(X0,sK0_skl,sK7_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ578_spl])],[split_symbol_definition]) ).
fof(f6153,plain,
( ~ sQ156_spl
| ~ sQ28_spl
| ~ sQ52_spl
| ~ sQ77_spl
| sQ578_spl ),
inference(split_clause,[status(thm)],[f6131,f6150,f1625,f1449,f1127,f2296]) ).
fof(f6154,definition,
! [X0] :
( sQ579_spl
<=> ( ~ rpoint(X0)
| ~ rR(X0,sK0_skl,sK7_skl)
| ~ ron(X0,vd1232) ) ),
introduced(definition,[new_symbols(definition,[sQ579_spl])],[split_symbol_definition]) ).
fof(f6157,plain,
( ~ sQ156_spl
| ~ sQ28_spl
| ~ sQ52_spl
| ~ sQ77_spl
| sQ579_spl ),
inference(split_clause,[status(thm)],[f6132,f6154,f1625,f1449,f1127,f2296]) ).
fof(f6162,definition,
! [X0,X1,X2,X3] :
( sQ581_spl
<=> ( ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ ron(X3,X2)
| ~ ron(X3,vd1232)
| ~ ron(X3,X1)
| ~ ron(sK0_skl,X2)
| ~ ron(X0,X1)
| ~ ron(sK7_skl,X1)
| ~ rS(X0,sK7_skl,X2)
| ~ rS(sK0_skl,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ581_spl])],[split_symbol_definition]) ).
fof(f6165,plain,
( ~ sQ156_spl
| ~ sQ77_spl
| ~ sQ28_spl
| ~ sQ52_spl
| sQ581_spl ),
inference(split_clause,[status(thm)],[f6134,f6162,f1449,f1127,f1625,f2296]) ).
fof(f6167,definition,
! [X0,X1,X2,X3] :
( sQ582_spl
<=> ( ~ rS(X0,sK7_skl,X3)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(X2,vd1232)
| ~ ron(X2,X3)
| ~ ron(X2,X1)
| ~ ron(X0,vd1232)
| ~ ron(sK0_skl,X1)
| ~ ron(sK7_skl,X1)
| ~ rS(X0,sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ582_spl])],[split_symbol_definition]) ).
fof(f6170,plain,
( ~ sQ156_spl
| ~ sQ77_spl
| ~ sQ28_spl
| ~ sQ52_spl
| sQ582_spl ),
inference(split_clause,[status(thm)],[f6136,f6167,f1449,f1127,f1625,f2296]) ).
fof(f6171,definition,
! [X0,X1,X2,X3] :
( sQ583_spl
<=> ( rS(X0,sK0_skl,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ ron(X1,vd1232)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X0,vd1232)
| ~ ron(sK0_skl,X2)
| ~ ron(sK7_skl,X3)
| rS(X0,sK7_skl,X2)
| ron(sK7_skl,X2)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ583_spl])],[split_symbol_definition]) ).
fof(f6174,plain,
( ~ sQ156_spl
| ~ sQ77_spl
| ~ sQ28_spl
| ~ sQ52_spl
| sQ583_spl ),
inference(split_clause,[status(thm)],[f6137,f6171,f1449,f1127,f1625,f2296]) ).
fof(f6183,plain,
( ~ ron(sK7_skl,vd1232)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK0_skl)
| ~ rline(vd1232) ),
inference(resolution,[status(thm)],[f2294,f836]) ).
fof(f6184,plain,
! [X0] :
( rS(sK0_skl,X0,vd1232)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| ~ rline(vd1232)
| ~ rS(sK7_skl,X0,vd1232) ),
inference(resolution,[status(thm)],[f2294,f835]) ).
fof(f6185,plain,
! [X0] :
( rS(sK7_skl,X0,vd1232)
| ~ rpoint(sK7_skl)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ rline(vd1232)
| ~ rR(X0,sK7_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f2294,f833]) ).
fof(f6186,plain,
! [X0] :
( ~ rpoint(sK7_skl)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ rline(vd1232)
| ~ rR(X0,sK7_skl,sK0_skl)
| ~ ron(X0,vd1232) ),
inference(resolution,[status(thm)],[f2294,f831]) ).
fof(f6188,plain,
! [X0,X1,X2,X3] :
( ~ rline(X2)
| ~ rline(vd1232)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(sK7_skl)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ ron(X3,X2)
| ~ ron(X3,vd1232)
| ~ ron(X3,X1)
| ~ ron(sK7_skl,X2)
| ~ ron(X0,X1)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK0_skl,X2)
| ~ rS(sK7_skl,X0,X1) ),
inference(resolution,[status(thm)],[f2294,f829]) ).
fof(f6190,plain,
! [X0,X1,X2,X3] :
( ~ rS(X0,sK0_skl,X3)
| ~ rline(vd1232)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK0_skl)
| ~ ron(X2,vd1232)
| ~ ron(X2,X3)
| ~ ron(X2,X1)
| ~ ron(X0,vd1232)
| ~ ron(sK7_skl,X1)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK7_skl,X1) ),
inference(resolution,[status(thm)],[f2294,f829]) ).
fof(f6191,plain,
! [X0,X1,X2,X3] :
( rS(X0,sK7_skl,X3)
| ~ rline(vd1232)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK0_skl)
| ~ ron(X1,vd1232)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X0,vd1232)
| ~ ron(sK7_skl,X2)
| ~ ron(sK0_skl,X3)
| rS(X0,sK0_skl,X2)
| ron(sK0_skl,X2)
| X0 = X1 ),
inference(resolution,[status(thm)],[f2294,f828]) ).
fof(f6199,plain,
( ~ sQ75_spl
| ~ sQ52_spl
| ~ sQ28_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f6183,f1625,f1127,f1449,f1619]) ).
fof(f6200,definition,
! [X0] :
( sQ584_spl
<=> ( rS(sK0_skl,X0,vd1232)
| ~ rpoint(X0)
| ~ rS(sK7_skl,X0,vd1232) ) ),
introduced(definition,[new_symbols(definition,[sQ584_spl])],[split_symbol_definition]) ).
fof(f6203,plain,
( ~ sQ52_spl
| ~ sQ28_spl
| ~ sQ77_spl
| sQ584_spl ),
inference(split_clause,[status(thm)],[f6184,f6200,f1625,f1127,f1449]) ).
fof(f6204,definition,
! [X0] :
( sQ585_spl
<=> ( rS(sK7_skl,X0,vd1232)
| ~ rpoint(X0)
| ~ rR(X0,sK7_skl,sK0_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ585_spl])],[split_symbol_definition]) ).
fof(f6207,plain,
( ~ sQ52_spl
| ~ sQ28_spl
| ~ sQ77_spl
| sQ585_spl ),
inference(split_clause,[status(thm)],[f6185,f6204,f1625,f1127,f1449]) ).
fof(f6208,definition,
! [X0] :
( sQ586_spl
<=> ( ~ rpoint(X0)
| ~ rR(X0,sK7_skl,sK0_skl)
| ~ ron(X0,vd1232) ) ),
introduced(definition,[new_symbols(definition,[sQ586_spl])],[split_symbol_definition]) ).
fof(f6211,plain,
( ~ sQ52_spl
| ~ sQ28_spl
| ~ sQ77_spl
| sQ586_spl ),
inference(split_clause,[status(thm)],[f6186,f6208,f1625,f1127,f1449]) ).
fof(f6216,definition,
! [X0,X1,X2,X3] :
( sQ588_spl
<=> ( ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ ron(X3,X2)
| ~ ron(X3,vd1232)
| ~ ron(X3,X1)
| ~ ron(sK7_skl,X2)
| ~ ron(X0,X1)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK0_skl,X2)
| ~ rS(sK7_skl,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ588_spl])],[split_symbol_definition]) ).
fof(f6219,plain,
( ~ sQ77_spl
| ~ sQ52_spl
| ~ sQ28_spl
| sQ588_spl ),
inference(split_clause,[status(thm)],[f6188,f6216,f1127,f1449,f1625]) ).
fof(f6221,definition,
! [X0,X1,X2,X3] :
( sQ589_spl
<=> ( ~ rS(X0,sK0_skl,X3)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(X2,vd1232)
| ~ ron(X2,X3)
| ~ ron(X2,X1)
| ~ ron(X0,vd1232)
| ~ ron(sK7_skl,X1)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK7_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ589_spl])],[split_symbol_definition]) ).
fof(f6224,plain,
( ~ sQ77_spl
| ~ sQ52_spl
| ~ sQ28_spl
| sQ589_spl ),
inference(split_clause,[status(thm)],[f6190,f6221,f1127,f1449,f1625]) ).
fof(f6225,definition,
! [X0,X1,X2,X3] :
( sQ590_spl
<=> ( rS(X0,sK7_skl,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ ron(X1,vd1232)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X0,vd1232)
| ~ ron(sK7_skl,X2)
| ~ ron(sK0_skl,X3)
| rS(X0,sK0_skl,X2)
| ron(sK0_skl,X2)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ590_spl])],[split_symbol_definition]) ).
fof(f6228,plain,
( ~ sQ77_spl
| ~ sQ52_spl
| ~ sQ28_spl
| sQ590_spl ),
inference(split_clause,[status(thm)],[f6191,f6225,f1127,f1449,f1625]) ).
fof(f6237,plain,
( ~ sQ109_spl
| ~ ron(sK7_skl,vd1197)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK8_skl)
| ~ rline(vd1197) ),
inference(resolution,[status(thm)],[f1856,f836]) ).
fof(f6253,plain,
( ~ sQ109_spl
| ~ sQ124_spl
| ~ sQ52_spl
| ~ sQ43_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f6237,f1038,f1272,f1449,f2014,f1855]) ).
fof(f6313,plain,
( sQ512_spl
| ~ rpoint(sK1_skl)
| ~ rpoint(sK1_skl)
| ~ rpoint(sK1_skl)
| ~ rline(vd1197)
| ron(sK1_skl,vd1197)
| ron(sK1_skl,vd1197)
| ron(sK1_skl,vd1197)
| rS(sK1_skl,sK1_skl,vd1197) ),
inference(resolution,[status(thm)],[f5290,f834]) ).
fof(f6320,plain,
( ~ sQ29_spl
| ~ sQ22_spl
| sQ126_spl
| sQ512_spl ),
inference(split_clause,[status(thm)],[f6313,f5288,f2024,f1038,f1130]) ).
fof(f6345,plain,
( sQ509_spl
| ~ rpoint(sK7_skl)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK7_skl)
| ~ rline(vd1232)
| ron(sK7_skl,vd1232)
| ron(sK7_skl,vd1232)
| ron(sK7_skl,vd1232)
| rS(sK7_skl,sK7_skl,vd1232) ),
inference(resolution,[status(thm)],[f5279,f834]) ).
fof(f6352,plain,
( ~ sQ52_spl
| ~ sQ77_spl
| sQ75_spl
| sQ509_spl ),
inference(split_clause,[status(thm)],[f6345,f5277,f1619,f1625,f1449]) ).
fof(f6374,plain,
( sQ503_spl
| ~ rpoint(sK0_skl)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK0_skl)
| ~ rline(vd1232)
| ron(sK0_skl,vd1232)
| ron(sK0_skl,vd1232)
| ron(sK0_skl,vd1232)
| rS(sK0_skl,sK0_skl,vd1232) ),
inference(resolution,[status(thm)],[f5257,f834]) ).
fof(f6381,plain,
( ~ sQ28_spl
| ~ sQ77_spl
| sQ357_spl
| sQ503_spl ),
inference(split_clause,[status(thm)],[f6374,f5255,f3892,f1625,f1127]) ).
fof(f6406,plain,
( ~ sQ569_spl
| ~ ron(sK7_skl,vd1197)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK7_skl)
| ~ rline(vd1197) ),
inference(resolution,[status(thm)],[f6065,f836]) ).
fof(f6423,plain,
( ~ sQ569_spl
| ~ sQ124_spl
| ~ sQ52_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f6406,f1038,f1449,f2014,f6064]) ).
fof(f6548,plain,
( ~ sQ55_spl
| ~ ron(sK7_skl,vd1197)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK0_skl)
| ~ rline(vd1197) ),
inference(resolution,[status(thm)],[f1463,f836]) ).
fof(f6564,plain,
( ~ sQ55_spl
| ~ sQ124_spl
| ~ sQ52_spl
| ~ sQ28_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f6548,f1038,f1127,f1449,f2014,f1462]) ).
fof(f6678,plain,
! [X0] :
( ~ sQ512_spl
| rS(sK1_skl,X0,vd1197)
| ~ rpoint(sK1_skl)
| ~ rpoint(sK1_skl)
| ~ rpoint(X0)
| ~ rline(vd1197)
| ~ rS(sK1_skl,X0,vd1197) ),
inference(resolution,[status(thm)],[f5289,f835]) ).
fof(f6679,plain,
! [X0] :
( ~ sQ512_spl
| rS(sK1_skl,X0,vd1197)
| ~ rpoint(sK1_skl)
| ~ rpoint(X0)
| ~ rpoint(sK1_skl)
| ~ rline(vd1197)
| ~ rR(X0,sK1_skl,sK1_skl) ),
inference(resolution,[status(thm)],[f5289,f833]) ).
fof(f6680,plain,
! [X0] :
( ~ sQ512_spl
| ~ rpoint(sK1_skl)
| ~ rpoint(X0)
| ~ rpoint(sK1_skl)
| ~ rline(vd1197)
| ~ rR(X0,sK1_skl,sK1_skl)
| ~ ron(X0,vd1197) ),
inference(resolution,[status(thm)],[f5289,f831]) ).
fof(f6682,plain,
! [X0,X1,X2,X3] :
( ~ sQ512_spl
| ~ rline(X2)
| ~ rline(vd1197)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(sK1_skl)
| ~ rpoint(X0)
| ~ rpoint(sK1_skl)
| ~ ron(X3,X2)
| ~ ron(X3,vd1197)
| ~ ron(X3,X1)
| ~ ron(sK1_skl,X2)
| ~ ron(X0,X1)
| ~ ron(sK1_skl,X1)
| ~ rS(X0,sK1_skl,X2)
| ~ rS(sK1_skl,X0,X1) ),
inference(resolution,[status(thm)],[f5289,f829]) ).
fof(f6684,plain,
! [X0,X1,X2,X3] :
( ~ sQ512_spl
| ~ rS(X0,sK1_skl,X3)
| ~ rline(vd1197)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(sK1_skl)
| ~ rpoint(sK1_skl)
| ~ ron(X2,vd1197)
| ~ ron(X2,X3)
| ~ ron(X2,X1)
| ~ ron(X0,vd1197)
| ~ ron(sK1_skl,X1)
| ~ ron(sK1_skl,X1)
| ~ rS(X0,sK1_skl,X1) ),
inference(resolution,[status(thm)],[f5289,f829]) ).
fof(f6685,plain,
! [X0,X1,X2,X3] :
( ~ sQ512_spl
| rS(X0,sK1_skl,X3)
| ~ rline(vd1197)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK1_skl)
| ~ rpoint(sK1_skl)
| ~ ron(X1,vd1197)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X0,vd1197)
| ~ ron(sK1_skl,X2)
| ~ ron(sK1_skl,X3)
| rS(X0,sK1_skl,X2)
| ron(sK1_skl,X2)
| X0 = X1 ),
inference(resolution,[status(thm)],[f5289,f828]) ).
fof(f6687,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ512_spl
| rS(sK1_skl,X0,vd1197)
| ~ rline(vd1197)
| ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(sK1_skl)
| ~ rpoint(sK1_skl)
| ~ ron(X4,vd1197)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,vd1197)
| ~ ron(sK1_skl,X2)
| ~ ron(sK1_skl,X1)
| ~ rS(X3,sK1_skl,X1)
| ~ rS(sK1_skl,X0,X2)
| ~ rS(sK1_skl,X0,X1) ),
inference(resolution,[status(thm)],[f5289,f827]) ).
fof(f6689,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ512_spl
| rS(sK1_skl,X0,X3)
| ~ rline(X3)
| ~ rline(X2)
| ~ rline(vd1197)
| ~ rpoint(X4)
| ~ rpoint(sK1_skl)
| ~ rpoint(sK1_skl)
| ~ rpoint(X1)
| ~ ron(X4,X3)
| ~ ron(X4,X2)
| ~ ron(X4,vd1197)
| ~ ron(sK1_skl,X3)
| ~ ron(sK1_skl,X2)
| ~ ron(X1,vd1197)
| ~ rS(sK1_skl,X1,X3)
| ~ rS(X1,X0,X2)
| ~ rS(sK1_skl,X0,vd1197) ),
inference(resolution,[status(thm)],[f5289,f827]) ).
fof(f6691,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ512_spl
| rS(X0,sK1_skl,X3)
| ~ rline(X3)
| ~ rline(vd1197)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(sK1_skl)
| ~ ron(X4,X3)
| ~ ron(X4,vd1197)
| ~ ron(X4,X1)
| ~ ron(X2,X3)
| ~ ron(X0,vd1197)
| ~ ron(sK1_skl,X1)
| ~ rS(X0,sK1_skl,X3)
| ~ rS(X2,X0,X1)
| ~ rS(X0,sK1_skl,X1) ),
inference(resolution,[status(thm)],[f5289,f827]) ).
fof(f6693,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ512_spl
| ~ rS(X3,sK1_skl,X4)
| ~ rline(X4)
| ~ rline(vd1197)
| ~ ron(X2,X4)
| ~ ron(X2,vd1197)
| ~ ron(sK1_skl,X4)
| ~ ron(X3,vd1197)
| ron(sK1_skl,X4)
| ron(sK1_skl,vd1197)
| X4 = vd1197
| rS(sK1_skl,sK1_skl,X1)
| ~ rpoint(X2)
| ~ rpoint(sK1_skl)
| ~ rpoint(X3)
| ~ rpoint(sK1_skl)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(X2,X0)
| ~ ron(X2,X1)
| ~ ron(sK1_skl,X0)
| ~ ron(X3,X1)
| X2 = sK1_skl
| X2 = X3
| ron(sK1_skl,X0)
| ron(sK1_skl,X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[f5289,f1168]) ).
fof(f6695,definition,
! [X0] :
( sQ661_spl
<=> ( rS(sK1_skl,X0,vd1197)
| ~ rpoint(X0)
| ~ rS(sK1_skl,X0,vd1197) ) ),
introduced(definition,[new_symbols(definition,[sQ661_spl])],[split_symbol_definition]) ).
fof(f6698,plain,
( ~ sQ512_spl
| ~ sQ29_spl
| ~ sQ22_spl
| sQ661_spl ),
inference(split_clause,[status(thm)],[f6678,f6695,f1038,f1130,f5288]) ).
fof(f6699,definition,
! [X0] :
( sQ662_spl
<=> ( rS(sK1_skl,X0,vd1197)
| ~ rpoint(X0)
| ~ rR(X0,sK1_skl,sK1_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ662_spl])],[split_symbol_definition]) ).
fof(f6702,plain,
( ~ sQ512_spl
| ~ sQ29_spl
| ~ sQ22_spl
| sQ662_spl ),
inference(split_clause,[status(thm)],[f6679,f6699,f1038,f1130,f5288]) ).
fof(f6703,definition,
! [X0] :
( sQ663_spl
<=> ( ~ rpoint(X0)
| ~ rR(X0,sK1_skl,sK1_skl)
| ~ ron(X0,vd1197) ) ),
introduced(definition,[new_symbols(definition,[sQ663_spl])],[split_symbol_definition]) ).
fof(f6706,plain,
( ~ sQ512_spl
| ~ sQ29_spl
| ~ sQ22_spl
| sQ663_spl ),
inference(split_clause,[status(thm)],[f6680,f6703,f1038,f1130,f5288]) ).
fof(f6711,definition,
! [X0,X1,X2,X3] :
( sQ665_spl
<=> ( ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ ron(X3,X2)
| ~ ron(X3,vd1197)
| ~ ron(X3,X1)
| ~ ron(sK1_skl,X2)
| ~ ron(X0,X1)
| ~ ron(sK1_skl,X1)
| ~ rS(X0,sK1_skl,X2)
| ~ rS(sK1_skl,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ665_spl])],[split_symbol_definition]) ).
fof(f6714,plain,
( ~ sQ512_spl
| ~ sQ22_spl
| ~ sQ29_spl
| sQ665_spl ),
inference(split_clause,[status(thm)],[f6682,f6711,f1130,f1038,f5288]) ).
fof(f6716,definition,
! [X0,X1,X2,X3] :
( sQ666_spl
<=> ( ~ rS(X0,sK1_skl,X3)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(X2,vd1197)
| ~ ron(X2,X3)
| ~ ron(X2,X1)
| ~ ron(X0,vd1197)
| ~ ron(sK1_skl,X1)
| ~ ron(sK1_skl,X1)
| ~ rS(X0,sK1_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ666_spl])],[split_symbol_definition]) ).
fof(f6719,plain,
( ~ sQ512_spl
| ~ sQ22_spl
| ~ sQ29_spl
| sQ666_spl ),
inference(split_clause,[status(thm)],[f6684,f6716,f1130,f1038,f5288]) ).
fof(f6720,definition,
! [X0,X1,X2,X3] :
( sQ667_spl
<=> ( rS(X0,sK1_skl,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ ron(X1,vd1197)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X0,vd1197)
| ~ ron(sK1_skl,X2)
| ~ ron(sK1_skl,X3)
| rS(X0,sK1_skl,X2)
| ron(sK1_skl,X2)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ667_spl])],[split_symbol_definition]) ).
fof(f6723,plain,
( ~ sQ512_spl
| ~ sQ22_spl
| ~ sQ29_spl
| sQ667_spl ),
inference(split_clause,[status(thm)],[f6685,f6720,f1130,f1038,f5288]) ).
fof(f6725,definition,
! [X0,X1,X2,X3,X4] :
( sQ668_spl
<=> ( rS(sK1_skl,X0,vd1197)
| ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ ron(X4,vd1197)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,vd1197)
| ~ ron(sK1_skl,X2)
| ~ ron(sK1_skl,X1)
| ~ rS(X3,sK1_skl,X1)
| ~ rS(sK1_skl,X0,X2)
| ~ rS(sK1_skl,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ668_spl])],[split_symbol_definition]) ).
fof(f6728,plain,
( ~ sQ512_spl
| ~ sQ22_spl
| ~ sQ29_spl
| sQ668_spl ),
inference(split_clause,[status(thm)],[f6687,f6725,f1130,f1038,f5288]) ).
fof(f6730,definition,
! [X0,X1,X2,X3,X4] :
( sQ669_spl
<=> ( rS(sK1_skl,X0,X3)
| ~ rline(X3)
| ~ rline(X2)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ ron(X4,X3)
| ~ ron(X4,X2)
| ~ ron(X4,vd1197)
| ~ ron(sK1_skl,X3)
| ~ ron(sK1_skl,X2)
| ~ ron(X1,vd1197)
| ~ rS(sK1_skl,X1,X3)
| ~ rS(X1,X0,X2)
| ~ rS(sK1_skl,X0,vd1197) ) ),
introduced(definition,[new_symbols(definition,[sQ669_spl])],[split_symbol_definition]) ).
fof(f6733,plain,
( ~ sQ512_spl
| ~ sQ22_spl
| ~ sQ29_spl
| sQ669_spl ),
inference(split_clause,[status(thm)],[f6689,f6730,f1130,f1038,f5288]) ).
fof(f6735,definition,
! [X0,X1,X2,X3,X4] :
( sQ670_spl
<=> ( rS(X0,sK1_skl,X3)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(X4,X3)
| ~ ron(X4,vd1197)
| ~ ron(X4,X1)
| ~ ron(X2,X3)
| ~ ron(X0,vd1197)
| ~ ron(sK1_skl,X1)
| ~ rS(X0,sK1_skl,X3)
| ~ rS(X2,X0,X1)
| ~ rS(X0,sK1_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ670_spl])],[split_symbol_definition]) ).
fof(f6738,plain,
( ~ sQ512_spl
| ~ sQ22_spl
| ~ sQ29_spl
| sQ670_spl ),
inference(split_clause,[status(thm)],[f6691,f6735,f1130,f1038,f5288]) ).
fof(f6743,definition,
! [X0,X1,X2,X3,X4] :
( sQ672_spl
<=> ( ~ rS(X3,sK1_skl,X4)
| ~ rline(X4)
| ~ ron(X2,X4)
| ~ ron(X2,vd1197)
| ~ ron(sK1_skl,X4)
| ~ ron(X3,vd1197)
| ron(sK1_skl,X4)
| X4 = vd1197
| rS(sK1_skl,sK1_skl,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(X2,X0)
| ~ ron(X2,X1)
| ~ ron(sK1_skl,X0)
| ~ ron(X3,X1)
| X2 = sK1_skl
| X2 = X3
| ron(sK1_skl,X0)
| ron(sK1_skl,X1)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ672_spl])],[split_symbol_definition]) ).
fof(f6746,plain,
( ~ sQ512_spl
| ~ sQ22_spl
| sQ126_spl
| ~ sQ29_spl
| sQ672_spl ),
inference(split_clause,[status(thm)],[f6693,f6743,f1130,f2024,f1038,f5288]) ).
fof(f6751,plain,
! [X0] :
( ~ sQ509_spl
| rS(sK7_skl,X0,vd1232)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK7_skl)
| ~ rpoint(X0)
| ~ rline(vd1232)
| ~ rS(sK7_skl,X0,vd1232) ),
inference(resolution,[status(thm)],[f5278,f835]) ).
fof(f6752,plain,
! [X0] :
( ~ sQ509_spl
| rS(sK7_skl,X0,vd1232)
| ~ rpoint(sK7_skl)
| ~ rpoint(X0)
| ~ rpoint(sK7_skl)
| ~ rline(vd1232)
| ~ rR(X0,sK7_skl,sK7_skl) ),
inference(resolution,[status(thm)],[f5278,f833]) ).
fof(f6753,plain,
! [X0] :
( ~ sQ509_spl
| ~ rpoint(sK7_skl)
| ~ rpoint(X0)
| ~ rpoint(sK7_skl)
| ~ rline(vd1232)
| ~ rR(X0,sK7_skl,sK7_skl)
| ~ ron(X0,vd1232) ),
inference(resolution,[status(thm)],[f5278,f831]) ).
fof(f6755,plain,
! [X0,X1,X2,X3] :
( ~ sQ509_spl
| ~ rline(X2)
| ~ rline(vd1232)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(sK7_skl)
| ~ rpoint(X0)
| ~ rpoint(sK7_skl)
| ~ ron(X3,X2)
| ~ ron(X3,vd1232)
| ~ ron(X3,X1)
| ~ ron(sK7_skl,X2)
| ~ ron(X0,X1)
| ~ ron(sK7_skl,X1)
| ~ rS(X0,sK7_skl,X2)
| ~ rS(sK7_skl,X0,X1) ),
inference(resolution,[status(thm)],[f5278,f829]) ).
fof(f6757,plain,
! [X0,X1,X2,X3] :
( ~ sQ509_spl
| ~ rS(X0,sK7_skl,X3)
| ~ rline(vd1232)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK7_skl)
| ~ ron(X2,vd1232)
| ~ ron(X2,X3)
| ~ ron(X2,X1)
| ~ ron(X0,vd1232)
| ~ ron(sK7_skl,X1)
| ~ ron(sK7_skl,X1)
| ~ rS(X0,sK7_skl,X1) ),
inference(resolution,[status(thm)],[f5278,f829]) ).
fof(f6758,plain,
! [X0,X1,X2,X3] :
( ~ sQ509_spl
| rS(X0,sK7_skl,X3)
| ~ rline(vd1232)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK7_skl)
| ~ ron(X1,vd1232)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X0,vd1232)
| ~ ron(sK7_skl,X2)
| ~ ron(sK7_skl,X3)
| rS(X0,sK7_skl,X2)
| ron(sK7_skl,X2)
| X0 = X1 ),
inference(resolution,[status(thm)],[f5278,f828]) ).
fof(f6760,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ509_spl
| rS(sK7_skl,X0,vd1232)
| ~ rline(vd1232)
| ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK7_skl)
| ~ ron(X4,vd1232)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,vd1232)
| ~ ron(sK7_skl,X2)
| ~ ron(sK7_skl,X1)
| ~ rS(X3,sK7_skl,X1)
| ~ rS(sK7_skl,X0,X2)
| ~ rS(sK7_skl,X0,X1) ),
inference(resolution,[status(thm)],[f5278,f827]) ).
fof(f6762,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ509_spl
| rS(sK7_skl,X0,X3)
| ~ rline(X3)
| ~ rline(X2)
| ~ rline(vd1232)
| ~ rpoint(X4)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK7_skl)
| ~ rpoint(X1)
| ~ ron(X4,X3)
| ~ ron(X4,X2)
| ~ ron(X4,vd1232)
| ~ ron(sK7_skl,X3)
| ~ ron(sK7_skl,X2)
| ~ ron(X1,vd1232)
| ~ rS(sK7_skl,X1,X3)
| ~ rS(X1,X0,X2)
| ~ rS(sK7_skl,X0,vd1232) ),
inference(resolution,[status(thm)],[f5278,f827]) ).
fof(f6764,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ509_spl
| rS(X0,sK7_skl,X3)
| ~ rline(X3)
| ~ rline(vd1232)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(sK7_skl)
| ~ ron(X4,X3)
| ~ ron(X4,vd1232)
| ~ ron(X4,X1)
| ~ ron(X2,X3)
| ~ ron(X0,vd1232)
| ~ ron(sK7_skl,X1)
| ~ rS(X0,sK7_skl,X3)
| ~ rS(X2,X0,X1)
| ~ rS(X0,sK7_skl,X1) ),
inference(resolution,[status(thm)],[f5278,f827]) ).
fof(f6766,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ509_spl
| ~ rS(X3,sK7_skl,X4)
| ~ rline(X4)
| ~ rline(vd1232)
| ~ ron(X2,X4)
| ~ ron(X2,vd1232)
| ~ ron(sK7_skl,X4)
| ~ ron(X3,vd1232)
| ron(sK7_skl,X4)
| ron(sK7_skl,vd1232)
| X4 = vd1232
| rS(sK7_skl,sK7_skl,X1)
| ~ rpoint(X2)
| ~ rpoint(sK7_skl)
| ~ rpoint(X3)
| ~ rpoint(sK7_skl)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(X2,X0)
| ~ ron(X2,X1)
| ~ ron(sK7_skl,X0)
| ~ ron(X3,X1)
| X2 = sK7_skl
| X2 = X3
| ron(sK7_skl,X0)
| ron(sK7_skl,X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[f5278,f1168]) ).
fof(f6768,definition,
! [X0] :
( sQ673_spl
<=> ( rS(sK7_skl,X0,vd1232)
| ~ rpoint(X0)
| ~ rS(sK7_skl,X0,vd1232) ) ),
introduced(definition,[new_symbols(definition,[sQ673_spl])],[split_symbol_definition]) ).
fof(f6771,plain,
( ~ sQ509_spl
| ~ sQ52_spl
| ~ sQ77_spl
| sQ673_spl ),
inference(split_clause,[status(thm)],[f6751,f6768,f1625,f1449,f5277]) ).
fof(f6772,definition,
! [X0] :
( sQ674_spl
<=> ( rS(sK7_skl,X0,vd1232)
| ~ rpoint(X0)
| ~ rR(X0,sK7_skl,sK7_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ674_spl])],[split_symbol_definition]) ).
fof(f6775,plain,
( ~ sQ509_spl
| ~ sQ52_spl
| ~ sQ77_spl
| sQ674_spl ),
inference(split_clause,[status(thm)],[f6752,f6772,f1625,f1449,f5277]) ).
fof(f6776,definition,
! [X0] :
( sQ675_spl
<=> ( ~ rpoint(X0)
| ~ rR(X0,sK7_skl,sK7_skl)
| ~ ron(X0,vd1232) ) ),
introduced(definition,[new_symbols(definition,[sQ675_spl])],[split_symbol_definition]) ).
fof(f6779,plain,
( ~ sQ509_spl
| ~ sQ52_spl
| ~ sQ77_spl
| sQ675_spl ),
inference(split_clause,[status(thm)],[f6753,f6776,f1625,f1449,f5277]) ).
fof(f6784,definition,
! [X0,X1,X2,X3] :
( sQ677_spl
<=> ( ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ ron(X3,X2)
| ~ ron(X3,vd1232)
| ~ ron(X3,X1)
| ~ ron(sK7_skl,X2)
| ~ ron(X0,X1)
| ~ ron(sK7_skl,X1)
| ~ rS(X0,sK7_skl,X2)
| ~ rS(sK7_skl,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ677_spl])],[split_symbol_definition]) ).
fof(f6787,plain,
( ~ sQ509_spl
| ~ sQ77_spl
| ~ sQ52_spl
| sQ677_spl ),
inference(split_clause,[status(thm)],[f6755,f6784,f1449,f1625,f5277]) ).
fof(f6789,definition,
! [X0,X1,X2,X3] :
( sQ678_spl
<=> ( ~ rS(X0,sK7_skl,X3)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(X2,vd1232)
| ~ ron(X2,X3)
| ~ ron(X2,X1)
| ~ ron(X0,vd1232)
| ~ ron(sK7_skl,X1)
| ~ ron(sK7_skl,X1)
| ~ rS(X0,sK7_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ678_spl])],[split_symbol_definition]) ).
fof(f6792,plain,
( ~ sQ509_spl
| ~ sQ77_spl
| ~ sQ52_spl
| sQ678_spl ),
inference(split_clause,[status(thm)],[f6757,f6789,f1449,f1625,f5277]) ).
fof(f6793,definition,
! [X0,X1,X2,X3] :
( sQ679_spl
<=> ( rS(X0,sK7_skl,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ ron(X1,vd1232)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X0,vd1232)
| ~ ron(sK7_skl,X2)
| ~ ron(sK7_skl,X3)
| rS(X0,sK7_skl,X2)
| ron(sK7_skl,X2)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ679_spl])],[split_symbol_definition]) ).
fof(f6796,plain,
( ~ sQ509_spl
| ~ sQ77_spl
| ~ sQ52_spl
| sQ679_spl ),
inference(split_clause,[status(thm)],[f6758,f6793,f1449,f1625,f5277]) ).
fof(f6801,definition,
! [X0,X1,X2,X3,X4] :
( sQ681_spl
<=> ( rS(sK7_skl,X0,vd1232)
| ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ ron(X4,vd1232)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,vd1232)
| ~ ron(sK7_skl,X2)
| ~ ron(sK7_skl,X1)
| ~ rS(X3,sK7_skl,X1)
| ~ rS(sK7_skl,X0,X2)
| ~ rS(sK7_skl,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ681_spl])],[split_symbol_definition]) ).
fof(f6804,plain,
( ~ sQ509_spl
| ~ sQ77_spl
| ~ sQ52_spl
| sQ681_spl ),
inference(split_clause,[status(thm)],[f6760,f6801,f1449,f1625,f5277]) ).
fof(f6806,definition,
! [X0,X1,X2,X3,X4] :
( sQ682_spl
<=> ( rS(sK7_skl,X0,X3)
| ~ rline(X3)
| ~ rline(X2)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ ron(X4,X3)
| ~ ron(X4,X2)
| ~ ron(X4,vd1232)
| ~ ron(sK7_skl,X3)
| ~ ron(sK7_skl,X2)
| ~ ron(X1,vd1232)
| ~ rS(sK7_skl,X1,X3)
| ~ rS(X1,X0,X2)
| ~ rS(sK7_skl,X0,vd1232) ) ),
introduced(definition,[new_symbols(definition,[sQ682_spl])],[split_symbol_definition]) ).
fof(f6809,plain,
( ~ sQ509_spl
| ~ sQ77_spl
| ~ sQ52_spl
| sQ682_spl ),
inference(split_clause,[status(thm)],[f6762,f6806,f1449,f1625,f5277]) ).
fof(f6811,definition,
! [X0,X1,X2,X3,X4] :
( sQ683_spl
<=> ( rS(X0,sK7_skl,X3)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(X4,X3)
| ~ ron(X4,vd1232)
| ~ ron(X4,X1)
| ~ ron(X2,X3)
| ~ ron(X0,vd1232)
| ~ ron(sK7_skl,X1)
| ~ rS(X0,sK7_skl,X3)
| ~ rS(X2,X0,X1)
| ~ rS(X0,sK7_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ683_spl])],[split_symbol_definition]) ).
fof(f6814,plain,
( ~ sQ509_spl
| ~ sQ77_spl
| ~ sQ52_spl
| sQ683_spl ),
inference(split_clause,[status(thm)],[f6764,f6811,f1449,f1625,f5277]) ).
fof(f6819,definition,
! [X0,X1,X2,X3,X4] :
( sQ685_spl
<=> ( ~ rS(X3,sK7_skl,X4)
| ~ rline(X4)
| ~ ron(X2,X4)
| ~ ron(X2,vd1232)
| ~ ron(sK7_skl,X4)
| ~ ron(X3,vd1232)
| ron(sK7_skl,X4)
| X4 = vd1232
| rS(sK7_skl,sK7_skl,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(X2,X0)
| ~ ron(X2,X1)
| ~ ron(sK7_skl,X0)
| ~ ron(X3,X1)
| X2 = sK7_skl
| X2 = X3
| ron(sK7_skl,X0)
| ron(sK7_skl,X1)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ685_spl])],[split_symbol_definition]) ).
fof(f6822,plain,
( ~ sQ509_spl
| ~ sQ77_spl
| sQ75_spl
| ~ sQ52_spl
| sQ685_spl ),
inference(split_clause,[status(thm)],[f6766,f6819,f1449,f1619,f1625,f5277]) ).
fof(f6827,plain,
! [X0] :
( ~ sQ503_spl
| rS(sK0_skl,X0,vd1232)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| ~ rline(vd1232)
| ~ rS(sK0_skl,X0,vd1232) ),
inference(resolution,[status(thm)],[f5256,f835]) ).
fof(f6828,plain,
! [X0] :
( ~ sQ503_spl
| rS(sK0_skl,X0,vd1232)
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ rline(vd1232)
| ~ rR(X0,sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f5256,f833]) ).
fof(f6829,plain,
! [X0] :
( ~ sQ503_spl
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ rline(vd1232)
| ~ rR(X0,sK0_skl,sK0_skl)
| ~ ron(X0,vd1232) ),
inference(resolution,[status(thm)],[f5256,f831]) ).
fof(f6831,plain,
! [X0,X1,X2,X3] :
( ~ sQ503_spl
| ~ rline(X2)
| ~ rline(vd1232)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ ron(X3,X2)
| ~ ron(X3,vd1232)
| ~ ron(X3,X1)
| ~ ron(sK0_skl,X2)
| ~ ron(X0,X1)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK0_skl,X2)
| ~ rS(sK0_skl,X0,X1) ),
inference(resolution,[status(thm)],[f5256,f829]) ).
fof(f6833,plain,
! [X0,X1,X2,X3] :
( ~ sQ503_spl
| ~ rS(X0,sK0_skl,X3)
| ~ rline(vd1232)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK0_skl)
| ~ ron(X2,vd1232)
| ~ ron(X2,X3)
| ~ ron(X2,X1)
| ~ ron(X0,vd1232)
| ~ ron(sK0_skl,X1)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK0_skl,X1) ),
inference(resolution,[status(thm)],[f5256,f829]) ).
fof(f6834,plain,
! [X0,X1,X2,X3] :
( ~ sQ503_spl
| rS(X0,sK0_skl,X3)
| ~ rline(vd1232)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK0_skl)
| ~ ron(X1,vd1232)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X0,vd1232)
| ~ ron(sK0_skl,X2)
| ~ ron(sK0_skl,X3)
| rS(X0,sK0_skl,X2)
| ron(sK0_skl,X2)
| X0 = X1 ),
inference(resolution,[status(thm)],[f5256,f828]) ).
fof(f6836,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ503_spl
| rS(sK0_skl,X0,vd1232)
| ~ rline(vd1232)
| ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK0_skl)
| ~ ron(X4,vd1232)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,vd1232)
| ~ ron(sK0_skl,X2)
| ~ ron(sK0_skl,X1)
| ~ rS(X3,sK0_skl,X1)
| ~ rS(sK0_skl,X0,X2)
| ~ rS(sK0_skl,X0,X1) ),
inference(resolution,[status(thm)],[f5256,f827]) ).
fof(f6838,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ503_spl
| rS(sK0_skl,X0,X3)
| ~ rline(X3)
| ~ rline(X2)
| ~ rline(vd1232)
| ~ rpoint(X4)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK0_skl)
| ~ rpoint(X1)
| ~ ron(X4,X3)
| ~ ron(X4,X2)
| ~ ron(X4,vd1232)
| ~ ron(sK0_skl,X3)
| ~ ron(sK0_skl,X2)
| ~ ron(X1,vd1232)
| ~ rS(sK0_skl,X1,X3)
| ~ rS(X1,X0,X2)
| ~ rS(sK0_skl,X0,vd1232) ),
inference(resolution,[status(thm)],[f5256,f827]) ).
fof(f6840,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ503_spl
| rS(X0,sK0_skl,X3)
| ~ rline(X3)
| ~ rline(vd1232)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ ron(X4,X3)
| ~ ron(X4,vd1232)
| ~ ron(X4,X1)
| ~ ron(X2,X3)
| ~ ron(X0,vd1232)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK0_skl,X3)
| ~ rS(X2,X0,X1)
| ~ rS(X0,sK0_skl,X1) ),
inference(resolution,[status(thm)],[f5256,f827]) ).
fof(f6842,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ503_spl
| ~ rS(X3,sK0_skl,X4)
| ~ rline(X4)
| ~ rline(vd1232)
| ~ ron(X2,X4)
| ~ ron(X2,vd1232)
| ~ ron(sK0_skl,X4)
| ~ ron(X3,vd1232)
| ron(sK0_skl,X4)
| ron(sK0_skl,vd1232)
| X4 = vd1232
| rS(sK0_skl,sK0_skl,X1)
| ~ rpoint(X2)
| ~ rpoint(sK0_skl)
| ~ rpoint(X3)
| ~ rpoint(sK0_skl)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(X2,X0)
| ~ ron(X2,X1)
| ~ ron(sK0_skl,X0)
| ~ ron(X3,X1)
| X2 = sK0_skl
| X2 = X3
| ron(sK0_skl,X0)
| ron(sK0_skl,X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[f5256,f1168]) ).
fof(f6844,definition,
! [X0] :
( sQ686_spl
<=> ( rS(sK0_skl,X0,vd1232)
| ~ rpoint(X0)
| ~ rS(sK0_skl,X0,vd1232) ) ),
introduced(definition,[new_symbols(definition,[sQ686_spl])],[split_symbol_definition]) ).
fof(f6847,plain,
( ~ sQ503_spl
| ~ sQ28_spl
| ~ sQ77_spl
| sQ686_spl ),
inference(split_clause,[status(thm)],[f6827,f6844,f1625,f1127,f5255]) ).
fof(f6848,definition,
! [X0] :
( sQ687_spl
<=> ( rS(sK0_skl,X0,vd1232)
| ~ rpoint(X0)
| ~ rR(X0,sK0_skl,sK0_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ687_spl])],[split_symbol_definition]) ).
fof(f6851,plain,
( ~ sQ503_spl
| ~ sQ28_spl
| ~ sQ77_spl
| sQ687_spl ),
inference(split_clause,[status(thm)],[f6828,f6848,f1625,f1127,f5255]) ).
fof(f6852,definition,
! [X0] :
( sQ688_spl
<=> ( ~ rpoint(X0)
| ~ rR(X0,sK0_skl,sK0_skl)
| ~ ron(X0,vd1232) ) ),
introduced(definition,[new_symbols(definition,[sQ688_spl])],[split_symbol_definition]) ).
fof(f6855,plain,
( ~ sQ503_spl
| ~ sQ28_spl
| ~ sQ77_spl
| sQ688_spl ),
inference(split_clause,[status(thm)],[f6829,f6852,f1625,f1127,f5255]) ).
fof(f6860,definition,
! [X0,X1,X2,X3] :
( sQ690_spl
<=> ( ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ ron(X3,X2)
| ~ ron(X3,vd1232)
| ~ ron(X3,X1)
| ~ ron(sK0_skl,X2)
| ~ ron(X0,X1)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK0_skl,X2)
| ~ rS(sK0_skl,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ690_spl])],[split_symbol_definition]) ).
fof(f6863,plain,
( ~ sQ503_spl
| ~ sQ77_spl
| ~ sQ28_spl
| sQ690_spl ),
inference(split_clause,[status(thm)],[f6831,f6860,f1127,f1625,f5255]) ).
fof(f6865,definition,
! [X0,X1,X2,X3] :
( sQ691_spl
<=> ( ~ rS(X0,sK0_skl,X3)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(X2,vd1232)
| ~ ron(X2,X3)
| ~ ron(X2,X1)
| ~ ron(X0,vd1232)
| ~ ron(sK0_skl,X1)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ691_spl])],[split_symbol_definition]) ).
fof(f6868,plain,
( ~ sQ503_spl
| ~ sQ77_spl
| ~ sQ28_spl
| sQ691_spl ),
inference(split_clause,[status(thm)],[f6833,f6865,f1127,f1625,f5255]) ).
fof(f6869,definition,
! [X0,X1,X2,X3] :
( sQ692_spl
<=> ( rS(X0,sK0_skl,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ ron(X1,vd1232)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X0,vd1232)
| ~ ron(sK0_skl,X2)
| ~ ron(sK0_skl,X3)
| rS(X0,sK0_skl,X2)
| ron(sK0_skl,X2)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ692_spl])],[split_symbol_definition]) ).
fof(f6872,plain,
( ~ sQ503_spl
| ~ sQ77_spl
| ~ sQ28_spl
| sQ692_spl ),
inference(split_clause,[status(thm)],[f6834,f6869,f1127,f1625,f5255]) ).
fof(f6874,definition,
! [X0,X1,X2,X3,X4] :
( sQ693_spl
<=> ( rS(sK0_skl,X0,vd1232)
| ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ ron(X4,vd1232)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,vd1232)
| ~ ron(sK0_skl,X2)
| ~ ron(sK0_skl,X1)
| ~ rS(X3,sK0_skl,X1)
| ~ rS(sK0_skl,X0,X2)
| ~ rS(sK0_skl,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ693_spl])],[split_symbol_definition]) ).
fof(f6877,plain,
( ~ sQ503_spl
| ~ sQ77_spl
| ~ sQ28_spl
| sQ693_spl ),
inference(split_clause,[status(thm)],[f6836,f6874,f1127,f1625,f5255]) ).
fof(f6879,definition,
! [X0,X1,X2,X3,X4] :
( sQ694_spl
<=> ( rS(sK0_skl,X0,X3)
| ~ rline(X3)
| ~ rline(X2)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ ron(X4,X3)
| ~ ron(X4,X2)
| ~ ron(X4,vd1232)
| ~ ron(sK0_skl,X3)
| ~ ron(sK0_skl,X2)
| ~ ron(X1,vd1232)
| ~ rS(sK0_skl,X1,X3)
| ~ rS(X1,X0,X2)
| ~ rS(sK0_skl,X0,vd1232) ) ),
introduced(definition,[new_symbols(definition,[sQ694_spl])],[split_symbol_definition]) ).
fof(f6882,plain,
( ~ sQ503_spl
| ~ sQ77_spl
| ~ sQ28_spl
| sQ694_spl ),
inference(split_clause,[status(thm)],[f6838,f6879,f1127,f1625,f5255]) ).
fof(f6884,definition,
! [X0,X1,X2,X3,X4] :
( sQ695_spl
<=> ( rS(X0,sK0_skl,X3)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(X4,X3)
| ~ ron(X4,vd1232)
| ~ ron(X4,X1)
| ~ ron(X2,X3)
| ~ ron(X0,vd1232)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK0_skl,X3)
| ~ rS(X2,X0,X1)
| ~ rS(X0,sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ695_spl])],[split_symbol_definition]) ).
fof(f6887,plain,
( ~ sQ503_spl
| ~ sQ77_spl
| ~ sQ28_spl
| sQ695_spl ),
inference(split_clause,[status(thm)],[f6840,f6884,f1127,f1625,f5255]) ).
fof(f6892,definition,
! [X0,X1,X2,X3,X4] :
( sQ697_spl
<=> ( ~ rS(X3,sK0_skl,X4)
| ~ rline(X4)
| ~ ron(X2,X4)
| ~ ron(X2,vd1232)
| ~ ron(sK0_skl,X4)
| ~ ron(X3,vd1232)
| ron(sK0_skl,X4)
| X4 = vd1232
| rS(sK0_skl,sK0_skl,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(X2,X0)
| ~ ron(X2,X1)
| ~ ron(sK0_skl,X0)
| ~ ron(X3,X1)
| X2 = sK0_skl
| X2 = X3
| ron(sK0_skl,X0)
| ron(sK0_skl,X1)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ697_spl])],[split_symbol_definition]) ).
fof(f6895,plain,
( ~ sQ503_spl
| ~ sQ77_spl
| sQ357_spl
| ~ sQ28_spl
| sQ697_spl ),
inference(split_clause,[status(thm)],[f6842,f6892,f1127,f3892,f1625,f5255]) ).
fof(f6984,plain,
! [X0] :
( sQ569_spl
| rintersect(vd1197,X0)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK7_skl)
| ~ rline(vd1197)
| ~ rline(X0)
| ~ ron(sK7_skl,X0)
| ~ ron(sK7_skl,X0) ),
inference(resolution,[status(thm)],[f6066,f822]) ).
fof(f7000,definition,
! [X0] :
( sQ707_spl
<=> ( rintersect(vd1197,X0)
| ~ rline(X0)
| ~ ron(sK7_skl,X0)
| ~ ron(sK7_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ707_spl])],[split_symbol_definition]) ).
fof(f7003,plain,
( sQ569_spl
| ~ sQ52_spl
| ~ sQ22_spl
| sQ707_spl ),
inference(split_clause,[status(thm)],[f6984,f7000,f1038,f1449,f6064]) ).
fof(f7111,plain,
( ~ sQ245_spl
| rR(sK8_skl,sK8_skl,sK7_skl)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK8_skl)
| ~ rpoint(sK8_skl) ),
inference(resolution,[status(thm)],[f2865,f806]) ).
fof(f7137,definition,
( sQ726_spl
<=> rR(sK8_skl,sK8_skl,sK7_skl) ),
introduced(definition,[new_symbols(definition,[sQ726_spl])],[split_symbol_definition]) ).
fof(f7138,plain,
( ~ sQ726_spl
| rR(sK8_skl,sK8_skl,sK7_skl) ),
inference(component_clause,[status(thm)],[f7137]) ).
fof(f7140,plain,
( ~ sQ245_spl
| sQ726_spl
| ~ sQ52_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f7111,f1272,f1449,f7137,f2864]) ).
fof(f7166,plain,
( ~ sQ726_spl
| ~ rpoint(sK8_skl)
| ~ rpoint(sK8_skl)
| ~ rpoint(sK7_skl)
| ~ rR(sK8_skl,sK8_skl,sK7_skl) ),
inference(resolution,[status(thm)],[f7138,f801]) ).
fof(f7187,plain,
( ~ sQ43_spl
| ~ sQ52_spl
| ~ sQ726_spl ),
inference(split_clause,[status(thm)],[f7166,f7137,f1449,f1272]) ).
fof(f7512,plain,
( sQ107_spl
| ~ sQ86_spl
| ~ ron(sK7_skl,vd1197) ),
inference(backward_demodulation,[status(thm)],[f1689,f1825]) ).
fof(f7536,plain,
( sQ107_spl
| ~ sQ86_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f7512,f2014,f1688,f1823]) ).
fof(f7542,definition,
( sQ759_spl
<=> sP2_prd(vd1232,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ759_spl])],[split_symbol_definition]) ).
fof(f7543,plain,
( ~ sQ759_spl
| sP2_prd(vd1232,sK1_skl) ),
inference(component_clause,[status(thm)],[f7542]) ).
fof(f7546,definition,
( sQ760_spl
<=> sP1_prd(vd1232,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ760_spl])],[split_symbol_definition]) ).
fof(f7547,plain,
( ~ sQ760_spl
| sP1_prd(vd1232,sK1_skl) ),
inference(component_clause,[status(thm)],[f7546]) ).
fof(f7550,definition,
( sQ761_spl
<=> sP0_prd(vd1232,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ761_spl])],[split_symbol_definition]) ).
fof(f7551,plain,
( ~ sQ761_spl
| sP0_prd(vd1232,sK1_skl) ),
inference(component_clause,[status(thm)],[f7550]) ).
fof(f7554,plain,
( ~ sQ761_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7551,f1990]) ).
fof(f7555,plain,
~ sQ761_spl,
inference(contradiction_clause,[status(thm)],[f7554]) ).
fof(f7556,plain,
( ~ sQ760_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7547,f2156]) ).
fof(f7557,plain,
~ sQ760_spl,
inference(contradiction_clause,[status(thm)],[f7556]) ).
fof(f7558,plain,
( ~ sQ759_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7543,f2163]) ).
fof(f7559,plain,
~ sQ759_spl,
inference(contradiction_clause,[status(thm)],[f7558]) ).
fof(f7609,plain,
! [X0,X1] :
( vd1232 = X0
| ~ rpoint(X1)
| ~ rpoint(sK1_skl)
| X1 = sK1_skl
| ~ rline(vd1232)
| ~ rline(X0)
| ~ ron(X1,vd1232)
| ~ ron(X1,X0)
| ~ ron(sK1_skl,X0) ),
inference(resolution,[status(thm)],[f844,f1526]) ).
fof(f7613,plain,
! [X0,X1] :
( vd1197 = X0
| ~ rpoint(X1)
| ~ rpoint(sK7_skl)
| X1 = sK7_skl
| ~ rline(vd1197)
| ~ rline(X0)
| ~ ron(X1,vd1197)
| ~ ron(X1,X0)
| ~ ron(sK7_skl,X0) ),
inference(resolution,[status(thm)],[f844,f1664]) ).
fof(f7677,definition,
! [X0,X1] :
( sQ769_spl
<=> ( vd1232 = X0
| ~ rpoint(X1)
| X1 = sK1_skl
| ~ rline(X0)
| ~ ron(X1,vd1232)
| ~ ron(X1,X0)
| ~ ron(sK1_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ769_spl])],[split_symbol_definition]) ).
fof(f7680,plain,
( ~ sQ29_spl
| ~ sQ77_spl
| sQ769_spl ),
inference(split_clause,[status(thm)],[f7609,f7677,f1625,f1130]) ).
fof(f7684,definition,
! [X0,X1] :
( sQ770_spl
<=> ( vd1197 = X0
| ~ rpoint(X1)
| X1 = sK7_skl
| ~ rline(X0)
| ~ ron(X1,vd1197)
| ~ ron(X1,X0)
| ~ ron(sK7_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ770_spl])],[split_symbol_definition]) ).
fof(f7687,plain,
( ~ sQ52_spl
| ~ sQ22_spl
| sQ770_spl ),
inference(split_clause,[status(thm)],[f7613,f7684,f1038,f1449]) ).
fof(f7753,definition,
! [X0] :
( sQ785_spl
<=> ( ~ rpoint(X0)
| sK8_skl = X0
| ~ ron(X0,vd1234)
| ~ ron(X0,vd1234) ) ),
introduced(definition,[new_symbols(definition,[sQ785_spl])],[split_symbol_definition]) ).
fof(f7754,plain,
! [X0] :
( ~ sQ785_spl
| ~ rpoint(X0)
| sK8_skl = X0
| ~ ron(X0,vd1234)
| ~ ron(X0,vd1234) ),
inference(component_clause,[status(thm)],[f7753]) ).
fof(f7785,plain,
! [X0] :
( ~ sQ785_spl
| ~ rpoint(X0)
| sK8_skl = X0
| ~ ron(X0,vd1234) ),
inference(duplicate_literals_removal,[status(thm)],[f7754]) ).
fof(f7917,plain,
! [X0,X1] :
( vd1234 = X1
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| sK0_skl = X0
| ~ rline(vd1234)
| ~ rline(X1)
| ~ ron(sK0_skl,X1)
| ~ ron(X0,vd1234)
| ~ ron(X0,X1) ),
inference(resolution,[status(thm)],[f1064,f844]) ).
fof(f7934,definition,
! [X0,X1] :
( sQ789_spl
<=> ( vd1234 = X1
| ~ rpoint(X0)
| sK0_skl = X0
| ~ rline(X1)
| ~ ron(sK0_skl,X1)
| ~ ron(X0,vd1234)
| ~ ron(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ789_spl])],[split_symbol_definition]) ).
fof(f7937,plain,
( ~ sQ28_spl
| ~ sQ371_spl
| sQ789_spl ),
inference(split_clause,[status(thm)],[f7917,f7934,f4129,f1127]) ).
fof(f8060,plain,
! [X0,X1,X2,X3] :
( ~ sQ535_spl
| ~ rpoint(sK8_skl)
| ~ rpoint(sK8_skl)
| ~ rpoint(sK0_skl)
| ~ rline(X1)
| ron(sK8_skl,X1)
| ron(sK8_skl,X1)
| ron(sK0_skl,X1)
| rS(sK8_skl,sK8_skl,X1)
| rR(X2,sK1_skl,sK0_skl)
| ~ rpoint(X2)
| sK1_skl = X2
| X2 = sK0_skl
| ~ rline(X3)
| X0 = X3
| ~ ron(sK1_skl,X3)
| ~ ron(sK0_skl,X3)
| ~ ron(X2,X3)
| ~ ron(X2,X0)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(sK8_skl,X1)
| ~ ron(sK8_skl,X0)
| ~ ron(sK1_skl,X1)
| ron(sK0_skl,X0)
| ron(sK0_skl,X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[f5701,f834]) ).
fof(f8061,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ535_spl
| rS(X4,sK0_skl,X1)
| ~ rpoint(X4)
| ~ rpoint(sK8_skl)
| ~ rpoint(sK0_skl)
| ~ rline(X1)
| ron(X4,X1)
| ron(sK8_skl,X1)
| ron(sK0_skl,X1)
| rS(X4,sK8_skl,X1)
| rR(X2,sK1_skl,sK0_skl)
| ~ rpoint(X2)
| sK1_skl = X2
| X2 = sK0_skl
| ~ rline(X3)
| X0 = X3
| ~ ron(sK1_skl,X3)
| ~ ron(sK0_skl,X3)
| ~ ron(X2,X3)
| ~ ron(X2,X0)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(sK8_skl,X1)
| ~ ron(sK8_skl,X0)
| ~ ron(sK1_skl,X1)
| ron(sK0_skl,X0)
| ron(sK0_skl,X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[f5701,f834]) ).
fof(f8063,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ535_spl
| rS(X4,sK0_skl,X1)
| ~ rpoint(sK8_skl)
| ~ rpoint(X4)
| ~ rpoint(sK0_skl)
| ~ rline(X1)
| ron(sK8_skl,X1)
| ron(X4,X1)
| ron(sK0_skl,X1)
| rS(sK8_skl,X4,X1)
| rR(X2,sK1_skl,sK0_skl)
| ~ rpoint(X2)
| sK1_skl = X2
| X2 = sK0_skl
| ~ rline(X3)
| X0 = X3
| ~ ron(sK1_skl,X3)
| ~ ron(sK0_skl,X3)
| ~ ron(X2,X3)
| ~ ron(X2,X0)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(sK8_skl,X1)
| ~ ron(sK8_skl,X0)
| ~ ron(sK1_skl,X1)
| ron(sK0_skl,X0)
| ron(sK0_skl,X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[f5701,f834]) ).
fof(f8064,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ535_spl
| rR(X4,sK8_skl,sK0_skl)
| ~ rpoint(sK8_skl)
| ~ rpoint(X4)
| ~ rpoint(sK0_skl)
| sK8_skl = X4
| sK8_skl = sK0_skl
| X4 = sK0_skl
| ~ rline(X1)
| ~ rline(X5)
| X1 = X5
| ~ ron(sK8_skl,X5)
| ~ ron(sK0_skl,X5)
| ~ ron(X4,X5)
| ~ ron(X4,X1)
| rR(X2,sK1_skl,sK0_skl)
| ~ rpoint(X2)
| sK1_skl = X2
| X2 = sK0_skl
| ~ rline(X3)
| X0 = X3
| ~ ron(sK1_skl,X3)
| ~ ron(sK0_skl,X3)
| ~ ron(X2,X3)
| ~ ron(X2,X0)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(sK8_skl,X1)
| ~ ron(sK8_skl,X0)
| ~ ron(sK1_skl,X1)
| ron(sK0_skl,X0)
| ron(sK0_skl,X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[f5701,f830]) ).
fof(f8065,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ535_spl
| rintersect(X1,X4)
| ~ rpoint(sK8_skl)
| ~ rpoint(sK0_skl)
| ~ rline(X1)
| ~ rline(X4)
| ~ ron(sK8_skl,X4)
| ~ ron(sK0_skl,X4)
| rR(X2,sK1_skl,sK0_skl)
| ~ rpoint(X2)
| sK1_skl = X2
| X2 = sK0_skl
| ~ rline(X3)
| X0 = X3
| ~ ron(sK1_skl,X3)
| ~ ron(sK0_skl,X3)
| ~ ron(X2,X3)
| ~ ron(X2,X0)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(sK8_skl,X1)
| ~ ron(sK8_skl,X0)
| ~ ron(sK1_skl,X1)
| ron(sK0_skl,X0)
| ron(sK0_skl,X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[f5701,f822]) ).
fof(f8066,definition,
! [X0,X1,X2,X3] :
( sQ794_spl
<=> ( ~ rline(X1)
| ron(sK8_skl,X1)
| ron(sK8_skl,X1)
| ron(sK0_skl,X1)
| rS(sK8_skl,sK8_skl,X1)
| rR(X2,sK1_skl,sK0_skl)
| ~ rpoint(X2)
| sK1_skl = X2
| X2 = sK0_skl
| ~ rline(X3)
| X0 = X3
| ~ ron(sK1_skl,X3)
| ~ ron(sK0_skl,X3)
| ~ ron(X2,X3)
| ~ ron(X2,X0)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(sK8_skl,X1)
| ~ ron(sK8_skl,X0)
| ~ ron(sK1_skl,X1)
| ron(sK0_skl,X0)
| ron(sK0_skl,X1)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ794_spl])],[split_symbol_definition]) ).
fof(f8069,plain,
( ~ sQ535_spl
| ~ sQ43_spl
| ~ sQ28_spl
| sQ794_spl ),
inference(split_clause,[status(thm)],[f8060,f8066,f1127,f1272,f5693]) ).
fof(f8070,definition,
! [X0,X1,X2,X3,X4] :
( sQ795_spl
<=> ( rS(X4,sK0_skl,X1)
| ~ rpoint(X4)
| ~ rline(X1)
| ron(X4,X1)
| ron(sK8_skl,X1)
| ron(sK0_skl,X1)
| rS(X4,sK8_skl,X1)
| rR(X2,sK1_skl,sK0_skl)
| ~ rpoint(X2)
| sK1_skl = X2
| X2 = sK0_skl
| ~ rline(X3)
| X0 = X3
| ~ ron(sK1_skl,X3)
| ~ ron(sK0_skl,X3)
| ~ ron(X2,X3)
| ~ ron(X2,X0)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(sK8_skl,X1)
| ~ ron(sK8_skl,X0)
| ~ ron(sK1_skl,X1)
| ron(sK0_skl,X0)
| ron(sK0_skl,X1)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ795_spl])],[split_symbol_definition]) ).
fof(f8073,plain,
( ~ sQ535_spl
| ~ sQ43_spl
| ~ sQ28_spl
| sQ795_spl ),
inference(split_clause,[status(thm)],[f8061,f8070,f1127,f1272,f5693]) ).
fof(f8075,definition,
! [X0,X1,X2,X3,X4] :
( sQ796_spl
<=> ( rS(X4,sK0_skl,X1)
| ~ rpoint(X4)
| ~ rline(X1)
| ron(sK8_skl,X1)
| ron(X4,X1)
| ron(sK0_skl,X1)
| rS(sK8_skl,X4,X1)
| rR(X2,sK1_skl,sK0_skl)
| ~ rpoint(X2)
| sK1_skl = X2
| X2 = sK0_skl
| ~ rline(X3)
| X0 = X3
| ~ ron(sK1_skl,X3)
| ~ ron(sK0_skl,X3)
| ~ ron(X2,X3)
| ~ ron(X2,X0)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(sK8_skl,X1)
| ~ ron(sK8_skl,X0)
| ~ ron(sK1_skl,X1)
| ron(sK0_skl,X0)
| ron(sK0_skl,X1)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ796_spl])],[split_symbol_definition]) ).
fof(f8078,plain,
( ~ sQ535_spl
| ~ sQ43_spl
| ~ sQ28_spl
| sQ796_spl ),
inference(split_clause,[status(thm)],[f8063,f8075,f1127,f1272,f5693]) ).
fof(f8079,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ797_spl
<=> ( rR(X4,sK8_skl,sK0_skl)
| ~ rpoint(X4)
| sK8_skl = X4
| X4 = sK0_skl
| ~ rline(X1)
| ~ rline(X5)
| X1 = X5
| ~ ron(sK8_skl,X5)
| ~ ron(sK0_skl,X5)
| ~ ron(X4,X5)
| ~ ron(X4,X1)
| rR(X2,sK1_skl,sK0_skl)
| ~ rpoint(X2)
| sK1_skl = X2
| X2 = sK0_skl
| ~ rline(X3)
| X0 = X3
| ~ ron(sK1_skl,X3)
| ~ ron(sK0_skl,X3)
| ~ ron(X2,X3)
| ~ ron(X2,X0)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(sK8_skl,X1)
| ~ ron(sK8_skl,X0)
| ~ ron(sK1_skl,X1)
| ron(sK0_skl,X0)
| ron(sK0_skl,X1)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ797_spl])],[split_symbol_definition]) ).
fof(f8082,plain,
( ~ sQ535_spl
| ~ sQ43_spl
| ~ sQ28_spl
| sQ91_spl
| sQ797_spl ),
inference(split_clause,[status(thm)],[f8064,f8079,f1708,f1127,f1272,f5693]) ).
fof(f8083,definition,
! [X0,X1,X2,X3,X4] :
( sQ798_spl
<=> ( rintersect(X1,X4)
| ~ rline(X1)
| ~ rline(X4)
| ~ ron(sK8_skl,X4)
| ~ ron(sK0_skl,X4)
| rR(X2,sK1_skl,sK0_skl)
| ~ rpoint(X2)
| sK1_skl = X2
| X2 = sK0_skl
| ~ rline(X3)
| X0 = X3
| ~ ron(sK1_skl,X3)
| ~ ron(sK0_skl,X3)
| ~ ron(X2,X3)
| ~ ron(X2,X0)
| ~ rline(X0)
| ~ rline(X1)
| ~ ron(sK8_skl,X1)
| ~ ron(sK8_skl,X0)
| ~ ron(sK1_skl,X1)
| ron(sK0_skl,X0)
| ron(sK0_skl,X1)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ798_spl])],[split_symbol_definition]) ).
fof(f8086,plain,
( ~ sQ535_spl
| ~ sQ43_spl
| ~ sQ28_spl
| sQ798_spl ),
inference(split_clause,[status(thm)],[f8065,f8083,f1127,f1272,f5693]) ).
fof(f8089,plain,
( ~ sQ785_spl
| ~ rpoint(sK0_skl)
| sK8_skl = sK0_skl ),
inference(resolution,[status(thm)],[f7785,f1064]) ).
fof(f8101,plain,
( ~ sQ785_spl
| ~ sQ28_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f8089,f1708,f1127,f7753]) ).
fof(f8120,definition,
( sQ804_spl
<=> rpoint(sK45_skl(vd1234)) ),
introduced(definition,[new_symbols(definition,[sQ804_spl])],[split_symbol_definition]) ).
fof(f8122,plain,
( sQ804_spl
| ~ rpoint(sK45_skl(vd1234)) ),
inference(component_clause,[status(thm)],[f8120]) ).
fof(f8128,plain,
( sQ804_spl
| ~ rline(vd1234) ),
inference(resolution,[status(thm)],[f8122,f934]) ).
fof(f8129,plain,
( sQ804_spl
| ~ sQ371_spl ),
inference(split_clause,[status(thm)],[f8128,f4129,f8120]) ).
fof(f8183,definition,
( sQ810_spl
<=> rpoint(sK45_skl(vd1197)) ),
introduced(definition,[new_symbols(definition,[sQ810_spl])],[split_symbol_definition]) ).
fof(f8185,plain,
( sQ810_spl
| ~ rpoint(sK45_skl(vd1197)) ),
inference(component_clause,[status(thm)],[f8183]) ).
fof(f8220,plain,
( sQ810_spl
| ~ rline(vd1197) ),
inference(resolution,[status(thm)],[f8185,f934]) ).
fof(f8221,plain,
( sQ810_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f8220,f1038,f8183]) ).
fof(f8458,plain,
( ~ sQ123_spl
| ~ rline(vd1232)
| ~ ron(sK8_skl,vd1232)
| ~ ron(sK1_skl,vd1232)
| ron(sK0_skl,vd1232)
| vd1197 = vd1232 ),
inference(resolution,[status(thm)],[f2012,f2294]) ).
fof(f8465,definition,
( sQ817_spl
<=> vd1197 = vd1232 ),
introduced(definition,[new_symbols(definition,[sQ817_spl])],[split_symbol_definition]) ).
fof(f8466,plain,
( ~ sQ817_spl
| vd1197 = vd1232 ),
inference(component_clause,[status(thm)],[f8465]) ).
fof(f8468,plain,
( ~ sQ123_spl
| ~ sQ77_spl
| ~ sQ76_spl
| ~ sQ473_spl
| sQ357_spl
| sQ817_spl ),
inference(split_clause,[status(thm)],[f8458,f8465,f3892,f4950,f1622,f1625,f2011]) ).
fof(f8530,plain,
( ~ sQ817_spl
| rS(sK7_skl,sK0_skl,vd1197) ),
inference(backward_demodulation,[status(thm)],[f8466,f2294]) ).
fof(f8569,plain,
( ~ sQ817_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f8530,f1462,f8465]) ).
fof(f8577,plain,
$false,
inference(sat_refutation,[status(thm)],[f730,f731,f732,f740,f744,f751,f755,f762,f998,f1048,f1050,f1067,f1070,f1073,f1100,f1140,f1142,f1144,f1182,f1280,f1352,f1354,f1367,f1444,f1455,f1460,f1465,f1508,f1510,f1512,f1521,f1551,f1555,f1571,f1589,f1597,f1630,f1632,f1761,f1815,f1831,f1884,f1909,f1961,f2017,f2019,f2289,f2299,f2304,f2314,f2318,f2607,f3799,f3807,f3811,f3815,f3822,f3826,f3830,f3835,f3884,f3895,f3899,f3907,f4010,f4142,f4327,f4332,f4337,f4658,f4663,f4669,f4856,f4875,f4886,f4959,f4967,f5265,f5276,f5287,f5298,f5303,f5307,f5311,f5315,f5321,f5325,f5329,f5333,f5343,f5373,f5399,f5401,f5403,f5461,f5506,f5508,f5510,f5696,f5795,f5799,f5807,f5812,f5816,f5841,f5845,f5853,f5858,f5862,f5963,f5967,f5983,f5988,f6056,f6077,f6149,f6153,f6157,f6165,f6170,f6174,f6199,f6203,f6207,f6211,f6219,f6224,f6228,f6253,f6320,f6352,f6381,f6423,f6564,f6698,f6702,f6706,f6714,f6719,f6723,f6728,f6733,f6738,f6746,f6771,f6775,f6779,f6787,f6792,f6796,f6804,f6809,f6814,f6822,f6847,f6851,f6855,f6863,f6868,f6872,f6877,f6882,f6887,f6895,f7003,f7140,f7187,f7536,f7555,f7557,f7559,f7680,f7687,f7937,f8069,f8073,f8078,f8082,f8086,f8101,f8129,f8221,f8468,f8569]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO292+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n004.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 15:12:04 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 24.54/3.52 % Refutation found
% 24.54/3.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 24.54/3.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 24.54/3.56 % Elapsed time: 3.199162 seconds
% 24.54/3.56 % CPU time: 24.931022 seconds
% 24.54/3.56 % Total memory used: 208.045 MB
% 24.54/3.56 % Net memory used: 197.024 MB
%------------------------------------------------------------------------------